1. Anatomy of a MPSE
MicrobiotaProcess introduces MPSE S4 class. This class inherits the SummarizedExperiment(Morgan et al. 2021) class. Here, the assays slot is used to store the rectangular abundance matrices of features for a microbiome experimental results. The colData slot is used to store the meta-data of sample and some results about samples in the downstream analysis. The rowData is used to store the meta-data of features and some results about the features in the downstream analysis. Compared to the SummarizedExperiment object, MPSE introduces the following additional slots:
- taxatree: is a
treedata(Wang et al. 2020; Yu 2021) class contained phylo class (hierarchical structure) and tibble class (associated data) to store the taxonomy information, the tip labels of taxonomy tree are the rows of theassays, but the internal node labels contain the differences level taxonomy of the rows of theassays. The tibble class contains the taxonomy classification of node labels. - otutree: is also a
treedataclass to store the phylogenetic tree (based with reference sequences) and the associated data, which its tip labels are also the rows of the assays. - refseq: is a
XStringSet(Pagès et al. 2021) class contained reference sequences, which its names are also identical with the rows of the assays.
The structure of the MPSE class.
2. Overview of the design of MicrobiotaProcess package
With this data structure, MicrobiotaProcess will be more interoperable with the existing computing ecosystem. For example, the slots inherited SummarizedExperiment can be extracted via the methods provided by SummarizedExperiment. The taxatree and otutree can also be extracted via mp_extract_tree, and they are compatible with ggtree(Yu et al. 2017), ggtreeExtra(Xu et al. 2021), treeio(Wang et al. 2020) and tidytree(Yu 2021) ecosystem since they are all treedata class, which is a data structure used directly by these packages.
Moreover, the results of upstream analysis of microbiome based some tools, such as qiime2(Bolyen et al. 2019), dada2(Callahan et al. 2016) and MetaPhlAn(Beghini et al. 2021) or other classes (SummarizedExperiment(Morgan et al. 2021), phyloseq(McMurdie and Holmes 2013) and TreeSummarizedExperiment(Huang et al. 2021)) used to store the result of microbiome can be loaded or transformed to the MPSE class.
In addition, MicrobiotaProcess also introduces a tidy microbiome data structure paradigm and analysis grammar. It provides a wide variety of microbiome analysis procedures under a unified and common framework (tidy-like framework). We believe MicrobiotaProcess can improve the efficiency of related researches, and it also bridges microbiome data analysis with the tidyverse(Wickham et al. 2019).
The Overview of the design of MicrobiotaProcess package
3. MicrobiotaProcess profiling
3.1 bridges other tools
MicrobiotaProcess provides several functions to parsing the output of upstream analysis tools of microbiome, such as qiime2(Bolyen et al. 2019), dada2(Callahan et al. 2016) and MetaPhlAn(Beghini et al. 2021), and return MPSE object. Some bioconductor class, such as phyloseq(McMurdie and Holmes 2013), TreeSummarizedExperiment(Huang et al. 2021) and SummarizedExperiment(Morgan et al. 2021) can also be converted to MPSE via as.MPSE().
library(MicrobiotaProcess)
#parsing the output of dada2
seqtabfile <- system.file("extdata", "seqtab.nochim.rds", package="MicrobiotaProcess")
seqtab <- readRDS(seqtabfile)
taxafile <- system.file("extdata", "taxa_tab.rds", package="MicrobiotaProcess")
seqtab <- readRDS(seqtabfile)
taxa <- readRDS(taxafile)
# the seqtab and taxa are output of dada2
sampleda <- system.file("extdata", "mouse.time.dada2.txt", package="MicrobiotaProcess")
mpse1 <- mp_import_dada2(seqtab=seqtab, taxatab=taxa, sampleda=sampleda)
mpse1## # A MPSE-tibble (MPSE object) abstraction: 4,408 × 11
## # OTU=232 | Samples=19 | Assays=Abundance | Taxonomy=Kingdom, Phylum, Class,
## # Order, Family, Genus, Species
## OTU Sample Abundance time Kingdom Phylum Class Order Family Genus Species
## <chr> <chr> <int> <chr> <chr> <chr> <chr> <chr> <chr> <chr> <chr>
## 1 OTU_1 F3D0 579 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 2 OTU_2 F3D0 345 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 3 OTU_3 F3D0 449 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 4 OTU_4 F3D0 430 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 5 OTU_5 F3D0 154 Early k__Bac… p__Ba… c__B… o__B… f__Ba… g__B… s__un_…
## 6 OTU_6 F3D0 470 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 7 OTU_7 F3D0 282 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 8 OTU_8 F3D0 184 Early k__Bac… p__Ba… c__B… o__B… f__Ri… g__A… s__un_…
## 9 OTU_9 F3D0 45 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 10 OTU_10 F3D0 158 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## # … with 4,398 more rows# parsing the output of qiime2
otuqzafile <- system.file("extdata", "table.qza", package="MicrobiotaProcess")
taxaqzafile <- system.file("extdata", "taxa.qza", package="MicrobiotaProcess")
mapfile <- system.file("extdata", "metadata_qza.txt", package="MicrobiotaProcess")
mpse2 <- mp_import_qiime2(otuqza=otuqzafile, taxaqza=taxaqzafile, mapfilename=mapfile)
mpse2## # A MPSE-tibble (MPSE object) abstraction: 12,006 × 32
## # OTU=138 | Samples=87 | Assays=Abundance | Taxonomy=Kingdom, Phylum, Class,
## # Order, Family, Genus, Speies
## OTU Sample Abundance Sample_Name_s BarcodeSequence LinkerPrimerSeq… Subject
## <chr> <chr> <dbl> <chr> <chr> <chr> <chr>
## 1 OTU_1 ERR13… 901 LR53 AGTGTCGATTCG TATGGTAATTGT Patient
## 2 OTU_2 ERR13… 877 LR53 AGTGTCGATTCG TATGGTAATTGT Patient
## 3 OTU_3 ERR13… 239 LR53 AGTGTCGATTCG TATGGTAATTGT Patient
## 4 OTU_4 ERR13… 201 LR53 AGTGTCGATTCG TATGGTAATTGT Patient
## 5 OTU_5 ERR13… 168 LR53 AGTGTCGATTCG TATGGTAATTGT Patient
## 6 OTU_6 ERR13… 115 LR53 AGTGTCGATTCG TATGGTAATTGT Patient
## 7 OTU_7 ERR13… 107 LR53 AGTGTCGATTCG TATGGTAATTGT Patient
## 8 OTU_8 ERR13… 84 LR53 AGTGTCGATTCG TATGGTAATTGT Patient
## 9 OTU_9 ERR13… 67 LR53 AGTGTCGATTCG TATGGTAATTGT Patient
## 10 OTU_… ERR13… 67 LR53 AGTGTCGATTCG TATGGTAATTGT Patient
## # … with 11,996 more rows, and 25 more variables: Sex <chr>, Age <int>,
## # Pittsburgh <chr>, Bell <dbl>, BMI <dbl>, sCD14ugml <dbl>, LBPugml <dbl>,
## # LPSpgml <dbl>, IFABPpgml <dbl>, Physical_functioning <dbl>,
## # Role_physical <dbl>, Role_emotional <dbl>, Energy_fatigue <dbl>,
## # Emotional_well_being <dbl>, Social_functioning <dbl>, Pain <dbl>,
## # General_health <dbl>, Description <lgl>, Kingdom <chr>, Phylum <chr>,
## # Class <chr>, Order <chr>, Family <chr>, Genus <chr>, Speies <chr># parsing the output of MetaPhlAn
file1 <- system.file("extdata/MetaPhlAn", "metaphlan_test.txt", package="MicrobiotaProcess")
sample.file <- system.file("extdata/MetaPhlAn", "sample_test.txt", package="MicrobiotaProcess")
mpse3 <- mp_import_metaphlan(profile=file1, mapfilename=sample.file)
mpse3## # A MPSE-tibble (MPSE object) abstraction: 5,260 × 11
## # OTU=263 | Samples=20 | Assays=Abundance | Taxonomy=Kingdom, Phylum, Class,
## # Order, Family, Genus
## OTU Sample Abundance group taxid Kingdom Phylum Class Order Family Genus
## <chr> <chr> <dbl> <chr> <chr> <chr> <chr> <chr> <chr> <chr> <chr>
## 1 s__Meth… GupDM… 0.596 testA 2157… k__Arc… p__Eu… c__M… o__M… f__Me… g__M…
## 2 s__Acti… GupDM… 0 testA 2|20… k__Bac… p__Ac… c__A… o__A… f__Ac… g__A…
## 3 s__Acti… GupDM… 0 testA 2|20… k__Bac… p__Ac… c__A… o__A… f__Ac… g__A…
## 4 s__Acti… GupDM… 0 testA 2|20… k__Bac… p__Ac… c__A… o__A… f__Ac… g__A…
## 5 s__Bifi… GupDM… 0.948 testA 2|20… k__Bac… p__Ac… c__A… o__B… f__Bi… g__B…
## 6 s__Bifi… GupDM… 0 testA 2|20… k__Bac… p__Ac… c__A… o__B… f__Bi… g__B…
## 7 s__Bifi… GupDM… 0 testA 2|20… k__Bac… p__Ac… c__A… o__B… f__Bi… g__B…
## 8 s__Bifi… GupDM… 0 testA 2|20… k__Bac… p__Ac… c__A… o__B… f__Bi… g__B…
## 9 s__Bifi… GupDM… 0 testA 2|20… k__Bac… p__Ac… c__A… o__B… f__Bi… g__B…
## 10 s__Bifi… GupDM… 0 testA 2|20… k__Bac… p__Ac… c__A… o__B… f__Bi… g__B…
## # … with 5,250 more rows# convert phyloseq object to mpse
#library(phyloseq)
#data(esophagus)
#esophagus
#mpse4 <- esophagus %>% as.MPSE()
#mpse4
# convert TreeSummarizedExperiment object to mpse
# library(curatedMetagenomicData)
# tse <- curatedMetagenomicData::curatedMetagenomicData("ZhuF_2020.relative_abundance", dryrun=F)
# tse[[1]] %>% as.MPSE() -> mpse5
# mpse53.2 alpha diversity analysis
Rarefaction, based on sampling technique, was used to compensate for the effect of sample size on the number of units observed in a sample(Siegel 2004). MicrobiotaProcess provided mp_cal_rarecurve and mp_plot_rarecurve to calculate and plot the curves based on rrarefy of vegan(Oksanen et al. 2019).
## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 11
## # OTU=218 | Samples=19 | Assays=Abundance | Taxonomy=Kingdom, Phylum, Class,
## # Order, Family, Genus, Species
## OTU Sample Abundance time Kingdom Phylum Class Order Family Genus Species
## <chr> <chr> <int> <chr> <chr> <chr> <chr> <chr> <chr> <chr> <chr>
## 1 OTU_1 F3D0 579 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 2 OTU_2 F3D0 345 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 3 OTU_3 F3D0 449 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 4 OTU_4 F3D0 430 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 5 OTU_5 F3D0 154 Early k__Bac… p__Ba… c__B… o__B… f__Ba… g__B… s__un_…
## 6 OTU_6 F3D0 470 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 7 OTU_7 F3D0 282 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 8 OTU_8 F3D0 184 Early k__Bac… p__Ba… c__B… o__B… f__Ri… g__A… s__un_…
## 9 OTU_9 F3D0 45 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## 10 OTU_10 F3D0 158 Early k__Bac… p__Ba… c__B… o__B… f__Mu… g__u… s__un_…
## # … with 4,132 more rows# Rarefied species richness
mouse.time.mpse %<>% mp_rrarefy()
# 'chunks' represent the split number of each sample to calculate alpha
# diversity, default is 400. e.g. If a sample has total 40000
# reads, if chunks is 400, it will be split to 100 sub-samples
# (100, 200, 300,..., 40000), then alpha diversity index was
# calculated based on the sub-samples.
# '.abundance' the column name of abundance, if the '.abundance' is not be
# rarefied calculate rarecurve, user can specific 'force=TRUE'.
mouse.time.mpse %<>%
mp_cal_rarecurve(
.abundance = RareAbundance,
chunks = 400
)
# The RareAbundanceRarecurve column will be added the colData slot
# automatically (default action="add")
mouse.time.mpse %>% print(width=180)## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 13
## # OTU=218 | Samples=19 | Assays=Abundance, RareAbundance | Taxonomy=Kingdom,
## # Phylum, Class, Order, Family, Genus, Species
## OTU Sample Abundance RareAbundance time RareAbundanceRarecurve
## <chr> <chr> <int> <int> <chr> <list>
## 1 OTU_1 F3D0 579 214 Early <tibble [2,520 × 4]>
## 2 OTU_2 F3D0 345 116 Early <tibble [2,520 × 4]>
## 3 OTU_3 F3D0 449 179 Early <tibble [2,520 × 4]>
## 4 OTU_4 F3D0 430 167 Early <tibble [2,520 × 4]>
## 5 OTU_5 F3D0 154 54 Early <tibble [2,520 × 4]>
## 6 OTU_6 F3D0 470 174 Early <tibble [2,520 × 4]>
## 7 OTU_7 F3D0 282 115 Early <tibble [2,520 × 4]>
## 8 OTU_8 F3D0 184 74 Early <tibble [2,520 × 4]>
## 9 OTU_9 F3D0 45 16 Early <tibble [2,520 × 4]>
## 10 OTU_10 F3D0 158 59 Early <tibble [2,520 × 4]>
## Kingdom Phylum Class Order
## <chr> <chr> <chr> <chr>
## 1 k__Bacteria p__Bacteroidetes c__Bacteroidia o__Bacteroidales
## 2 k__Bacteria p__Bacteroidetes c__Bacteroidia o__Bacteroidales
## 3 k__Bacteria p__Bacteroidetes c__Bacteroidia o__Bacteroidales
## 4 k__Bacteria p__Bacteroidetes c__Bacteroidia o__Bacteroidales
## 5 k__Bacteria p__Bacteroidetes c__Bacteroidia o__Bacteroidales
## 6 k__Bacteria p__Bacteroidetes c__Bacteroidia o__Bacteroidales
## 7 k__Bacteria p__Bacteroidetes c__Bacteroidia o__Bacteroidales
## 8 k__Bacteria p__Bacteroidetes c__Bacteroidia o__Bacteroidales
## 9 k__Bacteria p__Bacteroidetes c__Bacteroidia o__Bacteroidales
## 10 k__Bacteria p__Bacteroidetes c__Bacteroidia o__Bacteroidales
## Family Genus Species
## <chr> <chr> <chr>
## 1 f__Muribaculaceae g__un_f__Muribaculaceae s__un_f__Muribaculaceae
## 2 f__Muribaculaceae g__un_f__Muribaculaceae s__un_f__Muribaculaceae
## 3 f__Muribaculaceae g__un_f__Muribaculaceae s__un_f__Muribaculaceae
## 4 f__Muribaculaceae g__un_f__Muribaculaceae s__un_f__Muribaculaceae
## 5 f__Bacteroidaceae g__Bacteroides s__un_g__Bacteroides
## 6 f__Muribaculaceae g__un_f__Muribaculaceae s__un_f__Muribaculaceae
## 7 f__Muribaculaceae g__un_f__Muribaculaceae s__un_f__Muribaculaceae
## 8 f__Rikenellaceae g__Alistipes s__un_g__Alistipes
## 9 f__Muribaculaceae g__un_f__Muribaculaceae s__un_f__Muribaculaceae
## 10 f__Muribaculaceae g__un_f__Muribaculaceae s__un_f__Muribaculaceae
## # … with 4,132 more rows# default will display the confidence interval around smooth.
# se=TRUE
p1 <- mouse.time.mpse %>%
mp_plot_rarecurve(
.rare = RareAbundanceRarecurve,
.alpha = Observe,
)
p2 <- mouse.time.mpse %>%
mp_plot_rarecurve(
.rare = RareAbundanceRarecurve,
.alpha = Observe,
.group = time
) +
scale_color_manual(values=c("#00A087FF", "#3C5488FF")) +
scale_fill_manual(values=c("#00A087FF", "#3C5488FF"), guide="none")
# combine the samples belong to the same groups if
# plot.group=TRUE
p3 <- mouse.time.mpse %>%
mp_plot_rarecurve(
.rare = RareAbundanceRarecurve,
.alpha = "Observe",
.group = time,
plot.group = TRUE
) +
scale_color_manual(values=c("#00A087FF", "#3C5488FF")) +
scale_fill_manual(values=c("#00A087FF", "#3C5488FF"),guide="none")
p1 + p2 + p3
The rarefaction of samples or groups
3.3 calculate alpha index and visualization
Alpha diversity can be estimated the species richness and evenness of some species communities. MicrobiotaProcess provides mp_cal_alpha to calculate alpha index (Observe, Chao1, ACE, Shannon, Simpson and J (Pielou’s evenness)) and the mp_plot_alpha to visualize the result.
library(ggplot2)
library(MicrobiotaProcess)
mouse.time.mpse %<>%
mp_cal_alpha(.abundance=RareAbundance)
mouse.time.mpse## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 19
## # OTU=218 | Samples=19 | Assays=Abundance, RareAbundance | Taxonomy=Kingdom,
## # Phylum, Class, Order, Family, Genus, Species
## OTU Sample Abundance RareAbundance time RareAbundanceRarec… Observe Chao1
## <chr> <chr> <int> <int> <chr> <list> <dbl> <dbl>
## 1 OTU_1 F3D0 579 214 Early <tibble> 104 104.
## 2 OTU_2 F3D0 345 116 Early <tibble> 104 104.
## 3 OTU_3 F3D0 449 179 Early <tibble> 104 104.
## 4 OTU_4 F3D0 430 167 Early <tibble> 104 104.
## 5 OTU_5 F3D0 154 54 Early <tibble> 104 104.
## 6 OTU_6 F3D0 470 174 Early <tibble> 104 104.
## 7 OTU_7 F3D0 282 115 Early <tibble> 104 104.
## 8 OTU_8 F3D0 184 74 Early <tibble> 104 104.
## 9 OTU_9 F3D0 45 16 Early <tibble> 104 104.
## 10 OTU_10 F3D0 158 59 Early <tibble> 104 104.
## # … with 4,132 more rows, and 11 more variables: ACE <dbl>, Shannon <dbl>,
## # Simpson <dbl>, Pielou <dbl>, Kingdom <chr>, Phylum <chr>, Class <chr>,
## # Order <chr>, Family <chr>, Genus <chr>, Species <chr>f1 <- mouse.time.mpse %>%
mp_plot_alpha(
.group=time,
.alpha=c(Observe, Chao1, ACE, Shannon, Simpson, Pielou)
) +
scale_fill_manual(values=c("#00A087FF", "#3C5488FF"), guide="none") +
scale_color_manual(values=c("#00A087FF", "#3C5488FF"), guide="none")
f2 <- mouse.time.mpse %>%
mp_plot_alpha(
.alpha=c(Observe, Chao1, ACE, Shannon, Simpson, Pielou)
)
f1 / f2
The alpha diversity comparison
Users can extract the result with mp_extract_sample() to extract the result of mp_cal_alpha and visualized the result manually, see the example of mp_cal_alpha.
3.4 The visualization of taxonomy abundance
MicrobiotaProcess provides the mp_cal_abundance, mp_plot_abundance to calculate and plot the composition of species communities. And the mp_extract_abundance can extract the abundance of specific taxonomy level. User can also extract the abundance table to perform external analysis such as visualize manually (see the example of mp_cal_abundance).
## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 19
## # OTU=218 | Samples=19 | Assays=Abundance, RareAbundance | Taxonomy=Kingdom,
## # Phylum, Class, Order, Family, Genus, Species
## OTU Sample Abundance RareAbundance time RareAbundanceRarec… Observe Chao1
## <chr> <chr> <int> <int> <chr> <list> <dbl> <dbl>
## 1 OTU_1 F3D0 579 214 Early <tibble> 104 104.
## 2 OTU_2 F3D0 345 116 Early <tibble> 104 104.
## 3 OTU_3 F3D0 449 179 Early <tibble> 104 104.
## 4 OTU_4 F3D0 430 167 Early <tibble> 104 104.
## 5 OTU_5 F3D0 154 54 Early <tibble> 104 104.
## 6 OTU_6 F3D0 470 174 Early <tibble> 104 104.
## 7 OTU_7 F3D0 282 115 Early <tibble> 104 104.
## 8 OTU_8 F3D0 184 74 Early <tibble> 104 104.
## 9 OTU_9 F3D0 45 16 Early <tibble> 104 104.
## 10 OTU_10 F3D0 158 59 Early <tibble> 104 104.
## # … with 4,132 more rows, and 11 more variables: ACE <dbl>, Shannon <dbl>,
## # Simpson <dbl>, Pielou <dbl>, Kingdom <chr>, Phylum <chr>, Class <chr>,
## # Order <chr>, Family <chr>, Genus <chr>, Species <chr>mouse.time.mpse %<>%
mp_cal_abundance( # for each samples
.abundance = RareAbundance
) %>%
mp_cal_abundance( # for each groups
.abundance=RareAbundance,
.group=time
)
mouse.time.mpse## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 20
## # OTU=218 | Samples=19 | Assays=Abundance, RareAbundance,
## # RelRareAbundanceBySample | Taxonomy=Kingdom, Phylum, Class, Order, Family,
## # Genus, Species
## OTU Sample Abundance RareAbundance RelRareAbundanc… time RareAbundanceRa…
## <chr> <chr> <int> <int> <dbl> <chr> <list>
## 1 OTU_1 F3D0 579 214 8.50 Early <tibble>
## 2 OTU_2 F3D0 345 116 4.61 Early <tibble>
## 3 OTU_3 F3D0 449 179 7.11 Early <tibble>
## 4 OTU_4 F3D0 430 167 6.63 Early <tibble>
## 5 OTU_5 F3D0 154 54 2.14 Early <tibble>
## 6 OTU_6 F3D0 470 174 6.91 Early <tibble>
## 7 OTU_7 F3D0 282 115 4.57 Early <tibble>
## 8 OTU_8 F3D0 184 74 2.94 Early <tibble>
## 9 OTU_9 F3D0 45 16 0.635 Early <tibble>
## 10 OTU_10 F3D0 158 59 2.34 Early <tibble>
## # … with 4,132 more rows, and 13 more variables: Observe <dbl>, Chao1 <dbl>,
## # ACE <dbl>, Shannon <dbl>, Simpson <dbl>, Pielou <dbl>, Kingdom <chr>,
## # Phylum <chr>, Class <chr>, Order <chr>, Family <chr>, Genus <chr>,
## # Species <chr># visualize the relative abundance of top 20 phyla for each sample.
p1 <- mouse.time.mpse %>%
mp_plot_abundance(
.abundance=RareAbundance,
.group=time,
taxa.class = Phylum,
topn = 20,
relative = TRUE
)
# visualize the abundance (rarefied) of top 20 phyla for each sample.
p2 <- mouse.time.mpse %>%
mp_plot_abundance(
.abundance=RareAbundance,
.group=time,
taxa.class = Phylum,
topn = 20,
relative = FALSE
)
p1 / p2
The relative abundance and abundance of phyla of all samples
The abundance of features also can be visualized by mp_plot_abundance with heatmap plot by setting geom='heatmap'.
h1 <- mouse.time.mpse %>%
mp_plot_abundance(
.abundance = RareAbundance,
.group = time,
taxa.class = Phylum,
relative = TRUE,
topn = 20,
geom = 'heatmap',
features.dist = 'euclidean',
features.hclust = 'average',
sample.dist = 'bray',
sample.hclust = 'average'
)
h2 <- mouse.time.mpse %>%
mp_plot_abundance(
.abundance = RareAbundance,
.group = time,
taxa.class = Phylum,
relative = FALSE,
topn = 20,
geom = 'heatmap',
features.dist = 'euclidean',
features.hclust = 'average',
sample.dist = 'bray',
sample.hclust = 'average'
)
# the character (scale or theme) of figure can be adjusted by set_scale_theme
# refer to the mp_plot_dist
aplot::plot_list(gglist=list(h1, h2), tag_levels="A")
The relative abundance and abundance of phyla of all samples
# visualize the relative abundance of top 20 phyla for each .group (time)
p3 <- mouse.time.mpse %>%
mp_plot_abundance(
.abundance=RareAbundance,
.group=time,
taxa.class = Phylum,
topn = 20,
plot.group = TRUE
)
# visualize the abundance of top 20 phyla for each .group (time)
p4 <- mouse.time.mpse %>%
mp_plot_abundance(
.abundance=RareAbundance,
.group= time,
taxa.class = Phylum,
topn = 20,
relative = FALSE,
plot.group = TRUE
)
p3 / p4
The relative abundance and abundance of phyla of groups
3.5 Beta diversity analysis
Beta diversity is used to quantify the dissimilarities between the communities (samples). Some distance indexes, such as Bray-Curtis index, Jaccard index, UniFrac (weighted or unweighted) index, are useful for or popular with the community ecologists. Many ordination methods are used to estimated the dissimilarities in community ecology. MicrobiotaProcess implements mp_cal_dist to calculate the common distance, and provided mp_plot_dist to visualize the result. It also provides several commonly-used ordination methods, such as PCA (mp_cal_pca), PCoA (mp_cal_pcoa), NMDS (mp_cal_nmds), DCA (mp_cal_dca), RDA (mp_cal_rda), CCA (mp_cal_cca), and a function (mp_envfit) fits environmental vectors or factors onto an ordination. Moreover, it also wraps several statistical analysis for the distance matrices, such as adonis (mp_adonis), anosim (mp_anosim), mrpp (mp_mrpp) and mantel (mp_mantel). All these functions are developed based on tidy-like framework, and provided unified grammar, we believe these functions will help users to do the ordination analysis more conveniently.
3.5.1 The distance between samples or groups
# standardization
# mp_decostand wraps the decostand of vegan, which provides
# many standardization methods for community ecology.
# default is hellinger, then the abundance processed will
# be stored to the assays slot.
mouse.time.mpse %<>%
mp_decostand(.abundance=Abundance)
mouse.time.mpse## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 21
## # OTU=218 | Samples=19 | Assays=Abundance, RareAbundance,
## # RelRareAbundanceBySample, hellinger | Taxonomy=Kingdom, Phylum, Class,
## # Order, Family, Genus, Species
## OTU Sample Abundance RareAbundance RelRareAbundanceBySamp… hellinger time
## <chr> <chr> <int> <int> <dbl> <dbl> <chr>
## 1 OTU_1 F3D0 579 214 8.50 0.298 Early
## 2 OTU_2 F3D0 345 116 4.61 0.230 Early
## 3 OTU_3 F3D0 449 179 7.11 0.262 Early
## 4 OTU_4 F3D0 430 167 6.63 0.257 Early
## 5 OTU_5 F3D0 154 54 2.14 0.154 Early
## 6 OTU_6 F3D0 470 174 6.91 0.268 Early
## 7 OTU_7 F3D0 282 115 4.57 0.208 Early
## 8 OTU_8 F3D0 184 74 2.94 0.168 Early
## 9 OTU_9 F3D0 45 16 0.635 0.0830 Early
## 10 OTU_10 F3D0 158 59 2.34 0.156 Early
## # … with 4,132 more rows, and 14 more variables: RareAbundanceRarecurve <list>,
## # Observe <dbl>, Chao1 <dbl>, ACE <dbl>, Shannon <dbl>, Simpson <dbl>,
## # Pielou <dbl>, Kingdom <chr>, Phylum <chr>, Class <chr>, Order <chr>,
## # Family <chr>, Genus <chr>, Species <chr># calculate the distance between the samples.
# the distance will be generated a nested tibble and added to the
# colData slot.
mouse.time.mpse %<>% mp_cal_dist(.abundance=hellinger, distmethod="bray")
mouse.time.mpse## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 22
## # OTU=218 | Samples=19 | Assays=Abundance, RareAbundance,
## # RelRareAbundanceBySample, hellinger | Taxonomy=Kingdom, Phylum, Class,
## # Order, Family, Genus, Species
## OTU Sample Abundance RareAbundance RelRareAbundanceBySamp… hellinger time
## <chr> <chr> <int> <int> <dbl> <dbl> <chr>
## 1 OTU_1 F3D0 579 214 8.50 0.298 Early
## 2 OTU_2 F3D0 345 116 4.61 0.230 Early
## 3 OTU_3 F3D0 449 179 7.11 0.262 Early
## 4 OTU_4 F3D0 430 167 6.63 0.257 Early
## 5 OTU_5 F3D0 154 54 2.14 0.154 Early
## 6 OTU_6 F3D0 470 174 6.91 0.268 Early
## 7 OTU_7 F3D0 282 115 4.57 0.208 Early
## 8 OTU_8 F3D0 184 74 2.94 0.168 Early
## 9 OTU_9 F3D0 45 16 0.635 0.0830 Early
## 10 OTU_10 F3D0 158 59 2.34 0.156 Early
## # … with 4,132 more rows, and 15 more variables: RareAbundanceRarecurve <list>,
## # Observe <dbl>, Chao1 <dbl>, ACE <dbl>, Shannon <dbl>, Simpson <dbl>,
## # Pielou <dbl>, bray <list>, Kingdom <chr>, Phylum <chr>, Class <chr>,
## # Order <chr>, Family <chr>, Genus <chr>, Species <chr># mp_plot_dist provides there methods to visualize the distance between the samples or groups
# when .group is not provided, the dot heatmap plot will be return
p1 <- mouse.time.mpse %>% mp_plot_dist(.distmethod = bray)
p1
the distance between samples
# when .group is provided, the dot heatmap plot with group information will be return.
p2 <- mouse.time.mpse %>% mp_plot_dist(.distmethod = bray, .group = time)
# The scale or theme of dot heatmap plot can be adjusted using set_scale_theme function.
p2 %>% set_scale_theme(
x = scale_fill_manual(
values=c("orange", "deepskyblue"),
guide = guide_legend(
keywidth = 1,
keyheight = 0.5,
title.theme = element_text(size=8),
label.theme = element_text(size=6)
)
),
aes_var = time # specific the name of variable
) %>%
set_scale_theme(
x = scale_color_gradient(
guide = guide_legend(keywidth = 0.5, keyheight = 0.5)
),
aes_var = bray
) %>%
set_scale_theme(
x = scale_size_continuous(
range = c(0.1, 3),
guide = guide_legend(keywidth = 0.5, keyheight = 0.5)
),
aes_var = bray
)
The distance between samples with group information
# when .group is provided and group.test is TRUE, the comparison of different groups will be returned
p3 <- mouse.time.mpse %>% mp_plot_dist(.distmethod = bray, .group = time, group.test=TRUE, textsize=2)
p3 
The comparison of distance among the groups
3.5.2 The PCoA analysis
The distance can be used to do the ordination analysis, such as PCoA, NMDS, etc. Here, we only show the example of PCoA analysis, other ordinations can refer to the examples and the usages of the corresponding functions.
mouse.time.mpse %<>%
mp_cal_pcoa(.abundance=hellinger, distmethod="bray")
# The dimensions of ordination analysis will be added the colData slot (default).
mouse.time.mpse## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 25
## # OTU=218 | Samples=19 | Assays=Abundance, RareAbundance,
## # RelRareAbundanceBySample, hellinger | Taxonomy=Kingdom, Phylum, Class,
## # Order, Family, Genus, Species
## OTU Sample Abundance RareAbundance RelRareAbundanceBySamp… hellinger time
## <chr> <chr> <int> <int> <dbl> <dbl> <chr>
## 1 OTU_1 F3D0 579 214 8.50 0.298 Early
## 2 OTU_2 F3D0 345 116 4.61 0.230 Early
## 3 OTU_3 F3D0 449 179 7.11 0.262 Early
## 4 OTU_4 F3D0 430 167 6.63 0.257 Early
## 5 OTU_5 F3D0 154 54 2.14 0.154 Early
## 6 OTU_6 F3D0 470 174 6.91 0.268 Early
## 7 OTU_7 F3D0 282 115 4.57 0.208 Early
## 8 OTU_8 F3D0 184 74 2.94 0.168 Early
## 9 OTU_9 F3D0 45 16 0.635 0.0830 Early
## 10 OTU_10 F3D0 158 59 2.34 0.156 Early
## # … with 4,132 more rows, and 18 more variables: RareAbundanceRarecurve <list>,
## # Observe <dbl>, Chao1 <dbl>, ACE <dbl>, Shannon <dbl>, Simpson <dbl>,
## # Pielou <dbl>, bray <list>, `PCo1 (46.6%)` <dbl>, `PCo2 (13.31%)` <dbl>,
## # `PCo3 (8.22%)` <dbl>, Kingdom <chr>, Phylum <chr>, Class <chr>,
## # Order <chr>, Family <chr>, Genus <chr>, Species <chr># We also can perform adonis or anosim to check whether it is significant to the dissimilarities of groups.
mouse.time.mpse %<>%
mp_adonis(.abundance=hellinger, .formula=~time, distmethod="bray", permutations=9999, action="add")
mouse.time.mpse %>% mp_extract_internal_attr(name=adonis)## $aov.tab
## Permutation: free
## Number of permutations: 9999
##
## Terms added sequentially (first to last)
##
## Df SumsOfSqs MeanSqs F.Model R2 Pr(>F)
## time 1 0.58216 0.58216 13.431 0.44137 1e-04 ***
## Residuals 17 0.73683 0.04334 0.55863
## Total 18 1.31899 1.00000
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## $call
## vegan::adonis(formula = .formula, data = sampleda, permutations = permutations,
## method = distmethod)
##
## $coefficients
## OTU_1 OTU_2 OTU_3 OTU_4 OTU_5
## (Intercept) 0.32626528 0.283873769 0.274450634 0.25311632 0.22785879
## time1 0.01561224 0.005975051 0.001949187 -0.05066081 0.01745716
## OTU_6 OTU_7 OTU_8 OTU_9 OTU_10
## (Intercept) 0.1772037 0.21220564 0.20050638 0.18561499 0.18539428
## time1 -0.1006430 -0.03243933 0.02984893 -0.01793666 0.01547694
## OTU_11 OTU_12 OTU_13 OTU_14 OTU_15
## (Intercept) 0.14299975 0.11414879 0.12335248 0.12410658 0.09969725
## time1 -0.05070105 -0.07848622 0.03270921 -0.01591854 0.03183738
## OTU_16 OTU_17 OTU_18 OTU_19 OTU_20
## (Intercept) 0.08750297 0.06549785 0.09875631 0.07807577 0.05554974
## time1 -0.04935368 -0.03081984 -0.00741401 0.04100745 -0.02071664
## OTU_21 OTU_22 OTU_23 OTU_24 OTU_25
## (Intercept) 0.086011452 0.06832553 0.07642200 0.06830268 0.074509577
## time1 0.004540382 -0.04980315 0.02332475 0.02504296 -0.006045163
## OTU_26 OTU_27 OTU_28 OTU_29 OTU_30 OTU_31
## (Intercept) 0.06147411 0.06619596 0.07213934 0.06690271 0.04249815 0.06721493
## time1 0.04172499 0.03926592 0.01356396 0.02097798 0.03775169 0.02329946
## OTU_32 OTU_33 OTU_35 OTU_36 OTU_37
## (Intercept) 0.06283030 0.07107496 0.04398087 0.05176536 0.0628982178
## time1 -0.02054017 0.01056892 0.04398087 0.03995470 0.0006661926
## OTU_38 OTU_39 OTU_40 OTU_41 OTU_42
## (Intercept) 0.06077812 0.057707614 0.057107213 0.04833662 0.054322779
## time1 0.01090306 -0.003385221 0.002811192 -0.02640277 -0.003872464
## OTU_43 OTU_44 OTU_45 OTU_46 OTU_48
## (Intercept) 0.0420835 0.001465526 0.044161167 0.04298121 0.04583613
## time1 0.0420835 -0.001465526 0.003981615 0.03236996 0.01778629
## OTU_49 OTU_50 OTU_51 OTU_52 OTU_54
## (Intercept) 0.044417817 0.03561411 0.03579332 0.03416597 0.052512924
## time1 -0.001515873 0.03561411 0.03032174 0.03142560 0.006513911
## OTU_55 OTU_56 OTU_57 OTU_59 OTU_60
## (Intercept) 0.049833667 0.0336109 0.03610324 0.042245579 0.03391424
## time1 -0.003329223 -0.0336109 0.03238305 0.007907261 0.02717275
## OTU_61 OTU_62 OTU_63 OTU_64 OTU_65
## (Intercept) 0.03538089 0.003191375 0.03127783 0.04134599 0.002508089
## time1 -0.03538089 -0.003191375 0.03127783 0.01052665 -0.002508089
## OTU_66 OTU_67 OTU_68 OTU_69 OTU_70 OTU_71
## (Intercept) 0.040360625 0.03792436 0.0288918 0.02680741 0.0259037 0.02257026
## time1 -0.000481956 -0.02347676 0.0288918 0.02260216 -0.0259037 0.01111092
## OTU_72 OTU_73 OTU_74 OTU_75 OTU_76
## (Intercept) 0.035206977 0.02839765 0.029067425 0.024333916 0.02439003
## time1 -0.001476262 0.01321671 -0.007165066 -0.008775249 -0.02439003
## OTU_77 OTU_78 OTU_79 OTU_81 OTU_83
## (Intercept) 0.03564838 0.03679851 0.028165532 0.038914227 0.034947115
## time1 0.02134348 0.01306652 0.007890859 0.004534066 0.005445203
## OTU_84 OTU_85 OTU_86 OTU_87 OTU_88
## (Intercept) 0.02862285 0.007597991 0.02737103 0.033291029 0.02001679
## time1 0.01667997 0.005637282 0.01895135 -0.003411235 0.02001679
## OTU_90 OTU_91 OTU_92 OTU_93 OTU_94 OTU_95
## (Intercept) 0.03329218 0.022731061 0.02621303 0.02350097 0.01649476 0.01601364
## time1 0.01424904 0.001809177 0.01052840 -0.01138435 0.01022937 0.01601364
## OTU_97 OTU_98 OTU_100 OTU_101 OTU_102
## (Intercept) 0.02714239 0.02671499 0.009252304 0.01897242 0.02530794
## time1 -0.01827951 -0.01150419 -0.002959448 -0.01897242 -0.01633402
## OTU_103 OTU_105 OTU_106 OTU_107 OTU_108
## (Intercept) 0.029314308 0.01963345 0.016179960 0.01963901 0.0189305539
## time1 -0.002271058 -0.01552654 0.004475407 0.01963901 -0.0007355188
## OTU_109 OTU_110 OTU_111 OTU_112 OTU_113 OTU_114
## (Intercept) 0.00092688 0.01821394 0.018503425 0.0164664 0.02286959 0.0197836
## time1 -0.00092688 0.01150613 0.006341612 0.0164664 -0.01840486 0.0197836
## OTU_115 OTU_116 OTU_118 OTU_119 OTU_120
## (Intercept) 0.01266147 0.01646510 0.01470454 0.02095753 0.01339122
## time1 -0.01266147 0.00314216 0.01470454 -0.01307276 0.01065085
## OTU_121 OTU_122 OTU_123 OTU_124 OTU_125
## (Intercept) 0.02080180 0.019503508 0.012427255 0.009755134 0.01376234
## time1 -0.01496978 0.008521379 0.005807155 0.009755134 -0.01376234
## OTU_126 OTU_127 OTU_128 OTU_129 OTU_130
## (Intercept) 0.014953603 0.01422723 0.014876840 0.008294107 0.010794102
## time1 0.003213759 0.01422723 -0.006594984 -0.008294107 0.006546057
## OTU_131 OTU_132 OTU_133 OTU_134 OTU_135
## (Intercept) 0.012278741 0.01392984 0.006900146 0.010885789 0.003452054
## time1 -0.007191694 0.01392984 0.006900146 0.005715444 0.003452054
## OTU_136 OTU_137 OTU_138 OTU_139 OTU_140
## (Intercept) 0.009443699 0.013718268 0.008983532 1.079703e-02 0.013144489
## time1 0.002085869 0.008393061 0.005470974 -3.772146e-05 0.008288059
## OTU_141 OTU_142 OTU_143 OTU_144 OTU_145
## (Intercept) 0.009437924 0.01174476 0.005191285 0.012762144 0.009667744
## time1 0.009437924 -0.01174476 0.005191285 0.009698319 0.009667744
## OTU_146 OTU_148 OTU_149 OTU_150 OTU_151
## (Intercept) 0.014076443 0.012788075 0.006759362 0.012052677 0.0104654
## time1 0.009979313 0.004194069 -0.006759362 0.005290475 0.0104654
## OTU_152 OTU_153 OTU_154 OTU_155 OTU_156
## (Intercept) 0.006882234 0.012711959 0.005954764 0.007295286 0.004286726
## time1 -0.006882234 -0.004304642 -0.005954764 0.001152335 -0.000653544
## OTU_157 OTU_158 OTU_159 OTU_160 OTU_161
## (Intercept) 0.004751558 0.009573701 0.007598434 0.008100423 0.005783896
## time1 0.004751558 -0.005448086 0.007598434 0.008100423 -0.001954186
## OTU_162 OTU_164 OTU_165 OTU_166 OTU_167
## (Intercept) 0.002639446 0.005914843 0.006898162 0.0057835854 0.007969291
## time1 0.002639446 -0.005914843 0.006898162 0.0005183953 0.002644085
## OTU_168 OTU_169 OTU_170 OTU_171 OTU_172
## (Intercept) 0.005780847 0.006927540 0.007771284 0.0057970026 0.0042292592
## time1 -0.005780847 0.001202612 0.007771284 0.0009230647 -0.0001036445
## OTU_173 OTU_174 OTU_175 OTU_176 OTU_177
## (Intercept) 0.003884866 0.004032569 0.005348300 0.005282443 0.00365763
## time1 0.003884866 -0.004032569 0.003028358 -0.002428432 0.00365763
## OTU_178 OTU_179 OTU_180 OTU_181 OTU_182
## (Intercept) 0.005172759 0.006492445 0.004648508 0.003579551 0.003822725
## time1 0.002162961 0.006492445 -0.004648508 0.003579551 0.003822725
## OTU_183 OTU_184 OTU_185 OTU_186 OTU_187
## (Intercept) 0.005055164 0.003965843 0.005073014 0.0032035 0.004969283
## time1 0.002888713 0.001335276 0.005073014 0.0032035 -0.001894231
## OTU_188 OTU_189 OTU_190 OTU_191 OTU_192
## (Intercept) 0.003955869 0.0051972841 0.003433497 0.003307233 0.003765237
## time1 -0.001573945 0.0007438136 0.003433497 0.003307233 0.003765237
## OTU_193 OTU_195 OTU_196 OTU_197 OTU_198
## (Intercept) 0.002953481 0.004280462 0.002572773 0.003820223 0.005777775
## time1 0.002953481 -0.004280462 0.002572773 -0.003820223 0.002996776
## OTU_199 OTU_200 OTU_201 OTU_202 OTU_203
## (Intercept) 0.001640447 0.003251071 0.003001771 0.004075003 0.002817119
## time1 -0.001640447 -0.003251071 0.003001771 0.004075003 0.002817119
## OTU_204 OTU_205 OTU_206 OTU_207 OTU_208
## (Intercept) 0.002381925 0.002712057 0.003348421 0.003820519 0.002353026
## time1 0.002381925 0.002712057 -0.003348421 -0.001339099 0.002353026
## OTU_209 OTU_210 OTU_211 OTU_212 OTU_213
## (Intercept) 0.002894211 0.003181634 0.002148973 0.002994583 0.001370184
## time1 0.002894211 0.003181634 0.002148973 -0.002994583 -0.001370184
## OTU_214 OTU_215 OTU_216 OTU_217 OTU_218
## (Intercept) 0.002026071 0.001734034 0.001327196 0.001132844 0.001983585
## time1 0.002026071 -0.001734034 -0.001327196 0.001132844 0.001983585
## OTU_219 OTU_220 OTU_221 OTU_222 OTU_223
## (Intercept) 0.001073925 0.001921238 0.001083226 0.001676435 0.00160175
## time1 -0.001073925 0.001921238 -0.001083226 0.001676435 0.00160175
## OTU_224 OTU_225 OTU_226 OTU_227 OTU_228
## (Intercept) 0.001375205 0.001375205 0.001433996 0.001535738 0.0008563493
## time1 0.001375205 0.001375205 -0.001433996 -0.001535738 0.0008563493
## OTU_229 OTU_230 OTU_231 OTU_232
## (Intercept) 0.001432649 0.001466366 0.0007593793 0.001060271
## time1 0.001432649 -0.001466366 -0.0007593793 0.001060271
##
## $coef.sites
## F3D0 F3D1 F3D141 F3D142 F3D143 F3D144
## (Intercept) 0.37005624 0.3931814 0.3213649 0.3718915 0.3526060 0.3729354
## time1 -0.04788439 -0.1052821 0.1039519 0.1038485 0.1102512 0.1201740
## F3D145 F3D146 F3D147 F3D148 F3D149 F3D150
## (Intercept) 0.3458154 0.33957704 0.32669001 0.3238919 0.32996577 0.35606175
## time1 0.1105630 0.08706816 0.08944387 0.1076362 0.09095442 0.09855365
## F3D2 F3D3 F3D5 F3D6 F3D7
## (Intercept) 0.3649269 0.36339718 0.34126808 0.33343268 0.35625921
## time1 -0.1041673 -0.05167863 -0.08162644 -0.09063002 -0.06762409
## F3D8 F3D9
## (Intercept) 0.3626982 0.3713049
## time1 -0.1044022 -0.1071000
##
## $f.perms
## [,1]
## [1,] 1.0004044
## [2,] 0.6625037
## [3,] 0.7373606
## [4,] 3.4011817
## [5,] 0.8392869
## [6,] 0.7379107
## [7,] 0.7382922
## [8,] 1.3143546
## [9,] 2.5174268
## [10,] 0.5862716
## [11,] 0.5009049
## [12,] 1.0097356
## [13,] 2.1879064
## [14,] 0.8974611
## [15,] 0.8060751
## [16,] 1.1243092
## [17,] 0.6257034
## [18,] 0.5637796
## [19,] 0.7365026
## [20,] 0.7294688
## [21,] 0.4554511
## [22,] 1.3968174
## [23,] 0.6998516
## [24,] 0.8399593
## [25,] 0.3319193
## [26,] 0.8328812
## [27,] 0.3774542
## [28,] 0.5878429
## [29,] 0.7750626
## [30,] 0.4084489
## [31,] 0.6557223
## [32,] 0.7861416
## [33,] 0.2981206
## [34,] 0.8928258
## [35,] 0.4746668
## [36,] 0.7332018
## [37,] 0.4866802
## [38,] 0.5231622
## [39,] 0.3481549
## [40,] 1.3413403
## [41,] 0.4627152
## [42,] 1.0976426
## [43,] 0.4814166
## [44,] 0.7720662
## [45,] 0.2073715
## [46,] 0.8490307
## [47,] 0.7661936
## [48,] 0.5530284
## [49,] 2.6580681
## [50,] 1.0635464
## [51,] 0.9296292
## [52,] 0.7053697
## [53,] 0.6186300
## [54,] 0.8764385
## [55,] 0.6421825
## [56,] 0.7988664
## [57,] 1.7190624
## [58,] 0.7669028
## [59,] 0.5024848
## [60,] 1.8949611
## [61,] 0.5657432
## [62,] 1.8600939
## [63,] 0.5090760
## [64,] 0.9957065
## [65,] 1.2940911
## [66,] 0.8231750
## [67,] 0.4533921
## [68,] 0.3838796
## [69,] 0.9526190
## [70,] 0.5427337
## [71,] 0.6992890
## [72,] 0.4302613
## [73,] 0.8126132
## [74,] 0.9287850
## [75,] 0.7435901
## [76,] 0.9953302
## [77,] 2.3266665
## [78,] 2.2576486
## [79,] 0.4904642
## [80,] 0.4253006
## [81,] 0.9329123
## [82,] 1.1110846
## [83,] 0.8852638
## [84,] 1.4368937
## [85,] 0.5939616
## [86,] 0.7964234
## [87,] 0.7906204
## [88,] 0.8882899
## [89,] 1.7829707
## [90,] 0.5295511
## [91,] 2.0921947
## [92,] 1.2055578
## [93,] 2.3573241
## [94,] 1.4097230
## [95,] 0.7667543
## [96,] 1.2900661
## [97,] 0.6987075
## [98,] 1.0202349
## [99,] 1.5936756
## [100,] 2.0360692
## [101,] 0.4605789
## [102,] 0.5604809
## [103,] 0.3341738
## [104,] 0.6796605
## [105,] 0.4894633
## [106,] 0.6627964
## [107,] 1.2692726
## [108,] 0.5513387
## [109,] 0.3336745
## [110,] 0.6285201
## [111,] 0.7554106
## [112,] 1.2290514
## [113,] 0.6588522
## [114,] 0.3961816
## [115,] 1.4651783
## [116,] 3.2535862
## [117,] 0.4750558
## [118,] 0.8617189
## [119,] 0.6419719
## [120,] 0.8882329
## [121,] 0.2515010
## [122,] 1.4698560
## [123,] 0.4906499
## [124,] 0.5545773
## [125,] 1.0872275
## [126,] 0.5983810
## [127,] 0.4884718
## [128,] 0.8063212
## [129,] 0.6946454
## [130,] 2.1132030
## [131,] 3.3506991
## [132,] 0.5336999
## [133,] 0.7756486
## [134,] 1.9829457
## [135,] 1.0661750
## [136,] 0.6277083
## [137,] 1.3029603
## [138,] 3.7016770
## [139,] 0.8031895
## [140,] 0.5795786
## [141,] 0.2581371
## [142,] 1.0631894
## [143,] 0.7580139
## [144,] 0.4446843
## [145,] 1.1264551
## [146,] 1.1273843
## [147,] 0.3761511
## [148,] 0.4502418
## [149,] 1.4684746
## [150,] 1.3651960
## [151,] 0.7108595
## [152,] 2.8112060
## [153,] 1.1442800
## [154,] 1.5954818
## [155,] 0.3442824
## [156,] 0.6889921
## [157,] 1.4008553
## [158,] 1.2481756
## [159,] 1.7205828
## [160,] 3.4732369
## [161,] 2.2094062
## [162,] 0.8547462
## [163,] 2.3863849
## [164,] 0.3670417
## [165,] 1.1627922
## [166,] 0.7124468
## [167,] 0.6979866
## [168,] 1.2954208
## [169,] 2.5644809
## [170,] 1.0605354
## [171,] 0.4686430
## [172,] 1.5542333
## [173,] 0.5343636
## [174,] 0.3034396
## [175,] 0.7135389
## [176,] 0.7192530
## [177,] 1.1025782
## [178,] 0.5693249
## [179,] 1.1602451
## [180,] 2.6294849
## [181,] 1.1128834
## [182,] 0.6362803
## [183,] 1.4361590
## [184,] 1.6480882
## [185,] 0.4829181
## [186,] 0.8116703
## [187,] 1.2496951
## [188,] 1.0649730
## [189,] 0.8626955
## [190,] 0.3649226
## [191,] 0.4437466
## [192,] 0.6959493
## [193,] 0.3610181
## [194,] 1.9682116
## [195,] 0.4272017
## [196,] 0.6884842
## [197,] 0.7300008
## [198,] 1.1376086
## [199,] 0.8755486
## [200,] 0.6218465
## [201,] 0.9995010
## [202,] 1.8175170
## [203,] 1.0577071
## [204,] 0.4610877
## [205,] 0.9189472
## [206,] 0.7709728
## [207,] 1.2332034
## [208,] 1.6026348
## [209,] 1.0722166
## [210,] 0.3936789
## [211,] 3.0888282
## [212,] 0.6558315
## [213,] 1.4805160
## [214,] 1.2630902
## [215,] 0.3281856
## [216,] 0.6702508
## [217,] 0.7958258
## [218,] 0.5802416
## [219,] 1.8811471
## [220,] 0.5850300
## [221,] 0.2509298
## [222,] 1.4372884
## [223,] 0.5236741
## [224,] 0.7803774
## [225,] 0.5977617
## [226,] 0.5197020
## [227,] 0.5783086
## [228,] 0.8006804
## [229,] 0.8443034
## [230,] 0.6405277
## [231,] 0.9420212
## [232,] 0.9796656
## [233,] 2.6349385
## [234,] 1.2065692
## [235,] 0.8639576
## [236,] 0.6046630
## [237,] 0.5848901
## [238,] 0.8101059
## [239,] 0.6522427
## [240,] 0.8983582
## [241,] 0.4243605
## [242,] 0.4845090
## [243,] 0.8659739
## [244,] 2.0385725
## [245,] 0.4624346
## [246,] 0.3234122
## [247,] 1.0048112
## [248,] 0.3182194
## [249,] 0.9332844
## [250,] 2.0330608
## [251,] 0.5523435
## [252,] 0.2741427
## [253,] 0.6441890
## [254,] 0.6276450
## [255,] 1.1467869
## [256,] 0.4509910
## [257,] 0.8601515
## [258,] 2.1529170
## [259,] 0.6227414
## [260,] 0.6799511
## [261,] 1.2055578
## [262,] 1.0219332
## [263,] 0.8218283
## [264,] 0.8938381
## [265,] 1.3728359
## [266,] 1.0700308
## [267,] 0.7590754
## [268,] 2.3739383
## [269,] 1.9260352
## [270,] 0.5461459
## [271,] 0.5061957
## [272,] 1.5310196
## [273,] 2.3271869
## [274,] 1.2934463
## [275,] 0.8000388
## [276,] 0.5134633
## [277,] 1.1390781
## [278,] 0.6361772
## [279,] 1.9744710
## [280,] 1.9302373
## [281,] 1.1550894
## [282,] 1.5555036
## [283,] 0.7091959
## [284,] 1.2519946
## [285,] 0.4239182
## [286,] 2.4112693
## [287,] 1.5344824
## [288,] 0.5423151
## [289,] 0.5744877
## [290,] 0.5267656
## [291,] 0.8516911
## [292,] 0.8334071
## [293,] 1.7852375
## [294,] 0.6779336
## [295,] 1.0332635
## [296,] 0.6143976
## [297,] 1.1440148
## [298,] 2.4289724
## [299,] 1.6500322
## [300,] 1.4293149
## [301,] 0.4872190
## [302,] 0.4766226
## [303,] 0.6077672
## [304,] 1.4848580
## [305,] 1.4250579
## [306,] 0.5986873
## [307,] 1.7466201
## [308,] 0.5707231
## [309,] 0.5548341
## [310,] 2.1733344
## [311,] 0.7047426
## [312,] 1.2503084
## [313,] 0.6485209
## [314,] 0.7679547
## [315,] 0.7325400
## [316,] 0.3508995
## [317,] 0.4442097
## [318,] 1.0361581
## [319,] 0.6837670
## [320,] 0.8876523
## [321,] 1.1387936
## [322,] 0.7420058
## [323,] 0.6324468
## [324,] 1.5256188
## [325,] 1.0793411
## [326,] 0.5273118
## [327,] 0.9522034
## [328,] 0.6212995
## [329,] 0.9922578
## [330,] 1.0869527
## [331,] 1.1590992
## [332,] 0.9796878
## [333,] 0.9374111
## [334,] 2.0890002
## [335,] 0.4920821
## [336,] 0.3412198
## [337,] 0.3118912
## [338,] 0.6191801
## [339,] 0.7069088
## [340,] 0.7307347
## [341,] 1.2983268
## [342,] 0.9093013
## [343,] 0.5087053
## [344,] 0.8004007
## [345,] 2.0311212
## [346,] 0.4056450
## [347,] 0.7366996
## [348,] 0.7542325
## [349,] 2.4733964
## [350,] 0.9586367
## [351,] 1.4748430
## [352,] 0.9884724
## [353,] 0.7426336
## [354,] 0.7800759
## [355,] 1.4673678
## [356,] 1.8911112
## [357,] 1.0498618
## [358,] 1.8938726
## [359,] 0.2351248
## [360,] 0.2106669
## [361,] 0.5038367
## [362,] 0.8368705
## [363,] 0.4733412
## [364,] 2.0514946
## [365,] 0.4535427
## [366,] 1.3866302
## [367,] 0.9954233
## [368,] 0.4921945
## [369,] 0.5446871
## [370,] 2.2448007
## [371,] 1.2544399
## [372,] 1.0428098
## [373,] 1.0104406
## [374,] 1.9951317
## [375,] 1.1293263
## [376,] 0.4278304
## [377,] 1.0845708
## [378,] 0.9143133
## [379,] 0.8623647
## [380,] 0.7400000
## [381,] 4.5019538
## [382,] 1.1902795
## [383,] 2.0330608
## [384,] 0.9179781
## [385,] 0.7758591
## [386,] 0.7309932
## [387,] 1.2510457
## [388,] 1.1460090
## [389,] 0.8385522
## [390,] 0.4149280
## [391,] 0.5736825
## [392,] 0.2590975
## [393,] 1.1923394
## [394,] 0.9331107
## [395,] 0.5983810
## [396,] 0.5214138
## [397,] 1.3850196
## [398,] 3.1034398
## [399,] 0.6004176
## [400,] 0.6875524
## [401,] 0.8875015
## [402,] 0.5066822
## [403,] 0.5441814
## [404,] 0.3827982
## [405,] 0.8299383
## [406,] 0.6202398
## [407,] 3.0791472
## [408,] 2.0081546
## [409,] 0.4954197
## [410,] 1.8296620
## [411,] 0.4844333
## [412,] 0.5214296
## [413,] 1.4417833
## [414,] 0.3612234
## [415,] 1.3052706
## [416,] 1.9958030
## [417,] 0.6572602
## [418,] 0.6376946
## [419,] 2.6711231
## [420,] 0.8674948
## [421,] 1.7971994
## [422,] 1.8303723
## [423,] 0.6165492
## [424,] 0.6913068
## [425,] 1.0473653
## [426,] 1.5390933
## [427,] 0.6214886
## [428,] 0.5236096
## [429,] 0.8551596
## [430,] 2.7630766
## [431,] 1.1310907
## [432,] 1.3168268
## [433,] 0.7345589
## [434,] 0.9458431
## [435,] 0.3959502
## [436,] 0.6790389
## [437,] 0.3561858
## [438,] 0.8514510
## [439,] 1.2261704
## [440,] 0.2759775
## [441,] 2.4986710
## [442,] 0.5792547
## [443,] 0.6205782
## [444,] 0.8638844
## [445,] 2.0336407
## [446,] 1.0587966
## [447,] 1.2166614
## [448,] 0.6537746
## [449,] 0.3526565
## [450,] 0.7168118
## [451,] 0.8165322
## [452,] 0.6071395
## [453,] 0.7985619
## [454,] 0.7652238
## [455,] 1.1714077
## [456,] 0.5030830
## [457,] 2.2391069
## [458,] 0.6519315
## [459,] 0.9926012
## [460,] 0.5948157
## [461,] 0.8316123
## [462,] 0.5549466
## [463,] 0.6218982
## [464,] 0.7053006
## [465,] 2.1090044
## [466,] 1.2062147
## [467,] 0.4202625
## [468,] 1.3059026
## [469,] 1.3299599
## [470,] 0.3381792
## [471,] 0.9796820
## [472,] 0.4886266
## [473,] 0.7380743
## [474,] 1.2269993
## [475,] 0.7558586
## [476,] 0.5100983
## [477,] 0.9777092
## [478,] 0.8176194
## [479,] 0.4654933
## [480,] 0.7370819
## [481,] 1.2506781
## [482,] 0.8971522
## [483,] 0.4783428
## [484,] 0.7347579
## [485,] 1.4373910
## [486,] 0.6626113
## [487,] 1.7886249
## [488,] 0.6684913
## [489,] 0.2940958
## [490,] 1.4771514
## [491,] 0.5241871
## [492,] 1.5968321
## [493,] 0.7091589
## [494,] 0.9484795
## [495,] 0.5146774
## [496,] 1.7114342
## [497,] 0.3331137
## [498,] 0.5385826
## [499,] 1.1522337
## [500,] 0.7697444
## [501,] 1.4318724
## [502,] 0.3704618
## [503,] 0.6900185
## [504,] 0.7529959
## [505,] 0.5727023
## [506,] 1.4307737
## [507,] 1.2340604
## [508,] 0.8168825
## [509,] 0.8625963
## [510,] 2.4142175
## [511,] 1.0255537
## [512,] 0.6055128
## [513,] 0.6150819
## [514,] 0.8193372
## [515,] 1.0893941
## [516,] 0.5257140
## [517,] 1.0370971
## [518,] 2.9049373
## [519,] 0.3871594
## [520,] 0.6437089
## [521,] 0.4759239
## [522,] 1.1441922
## [523,] 0.4128637
## [524,] 0.2836924
## [525,] 0.5424935
## [526,] 2.2007465
## [527,] 1.1737857
## [528,] 0.5630067
## [529,] 0.5088465
## [530,] 1.6697471
## [531,] 1.0144574
## [532,] 2.4257944
## [533,] 0.8095405
## [534,] 0.7809473
## [535,] 1.1437255
## [536,] 0.5773083
## [537,] 1.3935521
## [538,] 0.8484320
## [539,] 1.2891828
## [540,] 0.7958900
## [541,] 0.3099402
## [542,] 0.7355052
## [543,] 0.3015654
## [544,] 0.8447420
## [545,] 0.7122097
## [546,] 2.4789378
## [547,] 2.2340195
## [548,] 0.3773636
## [549,] 0.6554373
## [550,] 0.5276042
## [551,] 0.6950478
## [552,] 0.7798689
## [553,] 2.1695514
## [554,] 0.4215667
## [555,] 0.6116390
## [556,] 1.1022075
## [557,] 0.4998860
## [558,] 0.4902809
## [559,] 0.4860222
## [560,] 0.4974155
## [561,] 1.7192356
## [562,] 0.8105091
## [563,] 0.3102477
## [564,] 0.8196094
## [565,] 0.4593243
## [566,] 0.8276530
## [567,] 2.0166582
## [568,] 0.5934278
## [569,] 0.8742034
## [570,] 0.3621312
## [571,] 0.6296842
## [572,] 1.0710256
## [573,] 0.8831346
## [574,] 0.3472765
## [575,] 0.4357874
## [576,] 0.8796325
## [577,] 1.7328343
## [578,] 1.3984335
## [579,] 0.6010706
## [580,] 0.3614418
## [581,] 0.8932065
## [582,] 0.4472412
## [583,] 1.0236231
## [584,] 0.9777853
## [585,] 0.8153427
## [586,] 0.5812402
## [587,] 0.4689274
## [588,] 0.4572766
## [589,] 1.6963589
## [590,] 0.7565594
## [591,] 2.1572101
## [592,] 0.6250935
## [593,] 0.7372152
## [594,] 0.9931163
## [595,] 1.3321321
## [596,] 0.4767189
## [597,] 2.1283185
## [598,] 0.8053678
## [599,] 0.8684152
## [600,] 0.5852775
## [601,] 1.4794127
## [602,] 0.4730186
## [603,] 0.8315101
## [604,] 0.5011847
## [605,] 0.6091652
## [606,] 1.4690647
## [607,] 3.6271834
## [608,] 1.7029881
## [609,] 2.2106266
## [610,] 0.4300169
## [611,] 0.6534438
## [612,] 0.9691895
## [613,] 0.5705351
## [614,] 0.5776818
## [615,] 0.9881229
## [616,] 0.5620703
## [617,] 0.9841304
## [618,] 0.6129376
## [619,] 0.3202457
## [620,] 1.8365061
## [621,] 0.4644877
## [622,] 0.6364341
## [623,] 0.8638632
## [624,] 2.0211437
## [625,] 0.4310889
## [626,] 1.1221704
## [627,] 0.6082340
## [628,] 1.0073575
## [629,] 0.4890529
## [630,] 1.5936219
## [631,] 0.3587867
## [632,] 0.4954595
## [633,] 0.7142762
## [634,] 0.5952814
## [635,] 0.4391389
## [636,] 0.5815250
## [637,] 0.4640037
## [638,] 0.7119067
## [639,] 2.2016767
## [640,] 0.7392834
## [641,] 0.8370470
## [642,] 0.6485315
## [643,] 0.9225735
## [644,] 1.0467153
## [645,] 2.5410701
## [646,] 2.6702435
## [647,] 1.3538621
## [648,] 0.9810176
## [649,] 0.8835762
## [650,] 0.9587348
## [651,] 3.2444419
## [652,] 0.8196578
## [653,] 0.3770432
## [654,] 0.8106667
## [655,] 1.1923000
## [656,] 0.9589995
## [657,] 0.6451404
## [658,] 0.6351668
## [659,] 0.6420324
## [660,] 1.6647846
## [661,] 2.0954489
## [662,] 0.7790193
## [663,] 0.8795430
## [664,] 1.0631753
## [665,] 0.6033037
## [666,] 0.4113151
## [667,] 1.5753366
## [668,] 0.8516136
## [669,] 0.6244038
## [670,] 0.4349751
## [671,] 3.2511698
## [672,] 0.6803937
## [673,] 0.7746485
## [674,] 0.5199052
## [675,] 0.9734136
## [676,] 1.3399654
## [677,] 0.6013679
## [678,] 0.2632647
## [679,] 0.6683434
## [680,] 1.1883765
## [681,] 0.9466616
## [682,] 0.8763497
## [683,] 1.0577796
## [684,] 0.9285664
## [685,] 2.7373828
## [686,] 0.6107550
## [687,] 1.5885495
## [688,] 0.7778806
## [689,] 0.7493791
## [690,] 2.8518726
## [691,] 1.2573234
## [692,] 0.3389162
## [693,] 0.5603134
## [694,] 0.6154594
## [695,] 0.9555071
## [696,] 4.2584144
## [697,] 2.9271482
## [698,] 0.7517898
## [699,] 0.3200190
## [700,] 0.7886346
## [701,] 0.4756930
## [702,] 1.8646484
## [703,] 0.6607241
## [704,] 0.8728652
## [705,] 0.8467181
## [706,] 0.6417042
## [707,] 0.7163895
## [708,] 0.6920801
## [709,] 0.8333538
## [710,] 1.0104024
## [711,] 0.4119769
## [712,] 0.4770179
## [713,] 1.0522089
## [714,] 0.9700055
## [715,] 0.5447624
## [716,] 0.5724777
## [717,] 0.8970449
## [718,] 0.6266440
## [719,] 0.6473086
## [720,] 0.6066444
## [721,] 1.0359492
## [722,] 0.7434786
## [723,] 7.6416299
## [724,] 0.3792229
## [725,] 0.8727686
## [726,] 0.2673747
## [727,] 0.6694502
## [728,] 0.5764117
## [729,] 0.4219371
## [730,] 0.7159964
## [731,] 0.7571025
## [732,] 0.6837709
## [733,] 1.6242492
## [734,] 0.8888290
## [735,] 1.4807482
## [736,] 6.2946641
## [737,] 3.0211912
## [738,] 0.6445964
## [739,] 0.8820456
## [740,] 1.1822280
## [741,] 1.7535497
## [742,] 0.9565881
## [743,] 0.3346425
## [744,] 0.6199286
## [745,] 0.5445556
## [746,] 0.8411222
## [747,] 0.5342069
## [748,] 1.0433313
## [749,] 1.5046827
## [750,] 0.7106574
## [751,] 0.6115145
## [752,] 0.8709013
## [753,] 0.4612361
## [754,] 0.5276407
## [755,] 1.2904191
## [756,] 0.9489133
## [757,] 0.8770093
## [758,] 0.3295620
## [759,] 4.3592594
## [760,] 0.4503535
## [761,] 1.5906221
## [762,] 3.2786109
## [763,] 0.3115055
## [764,] 0.6626888
## [765,] 0.4635574
## [766,] 0.4955989
## [767,] 0.8661071
## [768,] 0.8312786
## [769,] 0.8475818
## [770,] 0.8499322
## [771,] 0.8595669
## [772,] 2.1500792
## [773,] 0.4858511
## [774,] 0.5378758
## [775,] 0.8095405
## [776,] 0.3228956
## [777,] 0.5106274
## [778,] 1.4857792
## [779,] 1.2102362
## [780,] 0.7576459
## [781,] 0.4913489
## [782,] 0.6093333
## [783,] 0.6326774
## [784,] 0.5962594
## [785,] 0.9204196
## [786,] 1.6410282
## [787,] 0.2363538
## [788,] 0.8576296
## [789,] 0.8767727
## [790,] 0.9428989
## [791,] 0.7877875
## [792,] 1.1406168
## [793,] 0.8349745
## [794,] 0.7259493
## [795,] 1.0752223
## [796,] 0.8814872
## [797,] 0.7327625
## [798,] 0.9772784
## [799,] 0.6138838
## [800,] 1.0918141
## [801,] 1.2481942
## [802,] 0.8360929
## [803,] 4.7008515
## [804,] 2.7753221
## [805,] 0.5234852
## [806,] 1.5614916
## [807,] 0.7585650
## [808,] 0.7878984
## [809,] 0.6261386
## [810,] 0.7204072
## [811,] 1.8698572
## [812,] 0.5101102
## [813,] 1.0051671
## [814,] 1.4508494
## [815,] 1.7484846
## [816,] 0.6929883
## [817,] 1.1190820
## [818,] 0.5792914
## [819,] 0.5458300
## [820,] 1.3467635
## [821,] 0.9397834
## [822,] 1.3846541
## [823,] 0.4020281
## [824,] 0.8527078
## [825,] 4.1614127
## [826,] 0.5692769
## [827,] 1.0428541
## [828,] 0.3307669
## [829,] 1.8949208
## [830,] 0.4665947
## [831,] 1.1570034
## [832,] 2.9926352
## [833,] 0.4403405
## [834,] 2.3310177
## [835,] 0.5924846
## [836,] 1.0702735
## [837,] 0.9713063
## [838,] 0.5214985
## [839,] 0.6291229
## [840,] 0.4944058
## [841,] 0.6301660
## [842,] 0.6114706
## [843,] 0.4087128
## [844,] 0.3464243
## [845,] 0.3018850
## [846,] 0.7990191
## [847,] 0.5306080
## [848,] 1.4070214
## [849,] 1.3184531
## [850,] 2.5247480
## [851,] 0.6142810
## [852,] 1.0255537
## [853,] 0.4762384
## [854,] 0.7194825
## [855,] 1.1676657
## [856,] 2.1013037
## [857,] 0.5666594
## [858,] 1.4572981
## [859,] 0.2849397
## [860,] 0.4065437
## [861,] 0.4729815
## [862,] 0.6163700
## [863,] 0.6384937
## [864,] 3.6661290
## [865,] 1.0441230
## [866,] 0.8004603
## [867,] 0.2926868
## [868,] 1.8184873
## [869,] 0.3398334
## [870,] 0.4594038
## [871,] 0.9223931
## [872,] 1.9670634
## [873,] 0.5694375
## [874,] 0.5682218
## [875,] 0.7189927
## [876,] 0.3909165
## [877,] 0.4821418
## [878,] 0.5307540
## [879,] 1.7900656
## [880,] 1.7902188
## [881,] 0.7802282
## [882,] 0.7377830
## [883,] 1.2809465
## [884,] 0.8700197
## [885,] 1.0042555
## [886,] 0.9142221
## [887,] 2.3405360
## [888,] 1.7463857
## [889,] 0.8319552
## [890,] 0.9724906
## [891,] 0.9114863
## [892,] 0.3611531
## [893,] 0.5647448
## [894,] 0.5996141
## [895,] 0.4437575
## [896,] 0.5656637
## [897,] 0.7866542
## [898,] 1.5310721
## [899,] 1.2009780
## [900,] 1.7983778
## [901,] 1.0030063
## [902,] 0.2154795
## [903,] 0.3946978
## [904,] 2.8292683
## [905,] 1.7027499
## [906,] 1.1021152
## [907,] 0.7469844
## [908,] 0.4741255
## [909,] 0.7929973
## [910,] 1.7266191
## [911,] 0.9298804
## [912,] 0.5415999
## [913,] 1.1533764
## [914,] 0.6628055
## [915,] 0.5048200
## [916,] 3.9938122
## [917,] 0.4275846
## [918,] 0.6420181
## [919,] 0.6217479
## [920,] 1.2662939
## [921,] 1.0375655
## [922,] 0.8209267
## [923,] 0.4493653
## [924,] 0.4210193
## [925,] 1.2469154
## [926,] 0.5535733
## [927,] 1.5882840
## [928,] 0.3825322
## [929,] 0.5110187
## [930,] 1.3098947
## [931,] 1.9621131
## [932,] 0.6717701
## [933,] 0.7222726
## [934,] 0.5118836
## [935,] 1.4494354
## [936,] 0.4559697
## [937,] 1.5669700
## [938,] 1.6998486
## [939,] 0.9114856
## [940,] 1.0632247
## [941,] 1.1196911
## [942,] 0.7159964
## [943,] 0.7320734
## [944,] 1.0100234
## [945,] 0.6835295
## [946,] 0.7622353
## [947,] 0.4753021
## [948,] 0.7796569
## [949,] 0.6827481
## [950,] 0.3347142
## [951,] 0.7767306
## [952,] 0.2895082
## [953,] 1.3578397
## [954,] 0.9985251
## [955,] 0.5724287
## [956,] 1.0634727
## [957,] 0.5954551
## [958,] 1.4354437
## [959,] 0.6739981
## [960,] 0.6291893
## [961,] 0.5263514
## [962,] 0.6213120
## [963,] 1.2964533
## [964,] 0.5064966
## [965,] 0.9800242
## [966,] 1.8630361
## [967,] 0.9094972
## [968,] 1.7370521
## [969,] 0.9276333
## [970,] 1.1887069
## [971,] 1.5160634
## [972,] 0.6475542
## [973,] 0.5990530
## [974,] 0.9119311
## [975,] 1.3177377
## [976,] 0.5575549
## [977,] 0.5778640
## [978,] 1.9344100
## [979,] 2.4208738
## [980,] 0.4036302
## [981,] 0.4370543
## [982,] 0.4703785
## [983,] 1.3684037
## [984,] 0.6702195
## [985,] 0.7198023
## [986,] 0.9520413
## [987,] 0.3821470
## [988,] 1.8874019
## [989,] 0.6785867
## [990,] 0.6629332
## [991,] 0.8785070
## [992,] 0.5607550
## [993,] 0.5041055
## [994,] 0.7025954
## [995,] 1.2173563
## [996,] 0.9427134
## [997,] 0.7570510
## [998,] 0.5520978
## [999,] 1.5425719
## [1000,] 0.5188623
## [1001,] 0.2827706
## [1002,] 1.2315433
## [1003,] 0.4115732
## [1004,] 0.3749128
## [1005,] 1.1898420
## [1006,] 1.9483957
## [1007,] 1.2743204
## [1008,] 0.6942266
## [1009,] 1.0432232
## [1010,] 0.7422092
## [1011,] 0.5593084
## [1012,] 0.8876609
## [1013,] 0.4278110
## [1014,] 0.8466221
## [1015,] 0.6717044
## [1016,] 0.8465217
## [1017,] 0.8549004
## [1018,] 0.3513739
## [1019,] 1.5349438
## [1020,] 1.6964239
## [1021,] 0.6119232
## [1022,] 3.1145281
## [1023,] 0.5849315
## [1024,] 0.9432504
## [1025,] 1.3746635
## [1026,] 0.7333142
## [1027,] 0.8817546
## [1028,] 0.3848204
## [1029,] 0.5026135
## [1030,] 1.7537782
## [1031,] 0.7957734
## [1032,] 0.4340170
## [1033,] 2.6789039
## [1034,] 0.7008662
## [1035,] 1.7883139
## [1036,] 0.9125309
## [1037,] 0.7074699
## [1038,] 0.9557217
## [1039,] 0.4617159
## [1040,] 2.9703395
## [1041,] 1.6807570
## [1042,] 0.6763530
## [1043,] 0.3900750
## [1044,] 1.2392110
## [1045,] 0.7139618
## [1046,] 5.1675919
## [1047,] 0.5024574
## [1048,] 0.3335984
## [1049,] 0.3404492
## [1050,] 0.7086657
## [1051,] 1.4570187
## [1052,] 1.7358843
## [1053,] 1.1365098
## [1054,] 1.9071198
## [1055,] 1.9311551
## [1056,] 0.4438064
## [1057,] 0.6039119
## [1058,] 0.8640986
## [1059,] 1.0022183
## [1060,] 1.5683026
## [1061,] 0.5778439
## [1062,] 0.8222290
## [1063,] 1.1025480
## [1064,] 0.3703430
## [1065,] 0.8504051
## [1066,] 0.7242279
## [1067,] 1.7118735
## [1068,] 0.5385904
## [1069,] 0.8110514
## [1070,] 0.7621173
## [1071,] 1.2784209
## [1072,] 1.1893535
## [1073,] 0.7825623
## [1074,] 1.4603091
## [1075,] 0.9275600
## [1076,] 1.1180870
## [1077,] 0.4427091
## [1078,] 1.6869044
## [1079,] 0.4037038
## [1080,] 0.9286492
## [1081,] 0.6760609
## [1082,] 0.5546745
## [1083,] 0.6226094
## [1084,] 0.4140768
## [1085,] 0.5455220
## [1086,] 1.6554622
## [1087,] 0.7930625
## [1088,] 0.5076067
## [1089,] 2.3337327
## [1090,] 1.9654275
## [1091,] 1.0372155
## [1092,] 0.6707190
## [1093,] 0.7240985
## [1094,] 0.6754370
## [1095,] 0.5767041
## [1096,] 1.5892211
## [1097,] 0.7681781
## [1098,] 0.3003824
## [1099,] 0.6405010
## [1100,] 0.5549727
## [1101,] 0.5077319
## [1102,] 0.5425366
## [1103,] 0.8762797
## [1104,] 0.3421986
## [1105,] 0.5417389
## [1106,] 0.4861384
## [1107,] 0.9825401
## [1108,] 0.8385522
## [1109,] 1.8780958
## [1110,] 0.4023614
## [1111,] 0.8283504
## [1112,] 0.6189935
## [1113,] 0.4614336
## [1114,] 0.7940810
## [1115,] 1.8398007
## [1116,] 0.5211117
## [1117,] 0.3158772
## [1118,] 0.9433019
## [1119,] 0.5558714
## [1120,] 1.8912191
## [1121,] 0.7967729
## [1122,] 0.8955580
## [1123,] 0.6386749
## [1124,] 0.7236169
## [1125,] 1.3793932
## [1126,] 1.0226368
## [1127,] 2.6053420
## [1128,] 0.7415641
## [1129,] 0.7840955
## [1130,] 0.7757107
## [1131,] 0.6470881
## [1132,] 0.9582749
## [1133,] 1.2234891
## [1134,] 0.6735399
## [1135,] 0.3895890
## [1136,] 0.5131262
## [1137,] 0.6596259
## [1138,] 0.7231276
## [1139,] 1.3385578
## [1140,] 0.5257254
## [1141,] 0.5264702
## [1142,] 0.4582320
## [1143,] 1.1073896
## [1144,] 1.2087435
## [1145,] 0.5594668
## [1146,] 1.2187759
## [1147,] 1.1148346
## [1148,] 2.6731178
## [1149,] 0.7272161
## [1150,] 0.4581480
## [1151,] 1.7133068
## [1152,] 0.7613502
## [1153,] 1.2784474
## [1154,] 0.7662265
## [1155,] 1.0228418
## [1156,] 0.8659796
## [1157,] 0.6320030
## [1158,] 0.7591741
## [1159,] 1.1492680
## [1160,] 0.3842263
## [1161,] 1.0354748
## [1162,] 0.5949688
## [1163,] 0.7136052
## [1164,] 0.2307381
## [1165,] 0.6706942
## [1166,] 0.9996909
## [1167,] 0.8780398
## [1168,] 0.5385001
## [1169,] 0.7096334
## [1170,] 3.4382315
## [1171,] 1.4992824
## [1172,] 0.7123403
## [1173,] 0.9507674
## [1174,] 0.5111675
## [1175,] 0.6967638
## [1176,] 0.8492165
## [1177,] 0.3864535
## [1178,] 0.8076794
## [1179,] 0.4746550
## [1180,] 3.2781046
## [1181,] 1.2217621
## [1182,] 1.9859346
## [1183,] 1.1244071
## [1184,] 0.7371665
## [1185,] 0.8319940
## [1186,] 0.4722543
## [1187,] 0.8562670
## [1188,] 0.4973846
## [1189,] 0.7031141
## [1190,] 0.7333143
## [1191,] 1.0301888
## [1192,] 0.7523083
## [1193,] 3.0940471
## [1194,] 0.8316362
## [1195,] 0.7444697
## [1196,] 0.3880919
## [1197,] 1.3113263
## [1198,] 1.3087807
## [1199,] 1.4613496
## [1200,] 1.8099348
## [1201,] 0.4620922
## [1202,] 2.2090708
## [1203,] 0.5437495
## [1204,] 1.2413415
## [1205,] 0.4145483
## [1206,] 0.4970747
## [1207,] 1.1525223
## [1208,] 0.6267306
## [1209,] 1.8097350
## [1210,] 0.6288414
## [1211,] 0.7529732
## [1212,] 1.6343699
## [1213,] 6.2127087
## [1214,] 0.8776874
## [1215,] 1.0760384
## [1216,] 1.1243557
## [1217,] 1.2048656
## [1218,] 0.6668155
## [1219,] 0.6267687
## [1220,] 0.3185756
## [1221,] 3.0936320
## [1222,] 1.5858977
## [1223,] 0.7457587
## [1224,] 0.9023327
## [1225,] 2.2467192
## [1226,] 3.4497604
## [1227,] 0.6440004
## [1228,] 0.9982360
## [1229,] 0.6217337
## [1230,] 1.3328720
## [1231,] 0.5427461
## [1232,] 1.2055578
## [1233,] 0.8791431
## [1234,] 1.1381745
## [1235,] 1.2017335
## [1236,] 4.7835427
## [1237,] 0.4064556
## [1238,] 0.7297584
## [1239,] 1.5163455
## [1240,] 0.6797683
## [1241,] 0.4851962
## [1242,] 0.3158772
## [1243,] 1.5364484
## [1244,] 0.5711194
## [1245,] 0.8748388
## [1246,] 0.7663548
## [1247,] 0.7308394
## [1248,] 0.5433285
## [1249,] 0.7769975
## [1250,] 1.1163097
## [1251,] 0.4190875
## [1252,] 0.6890288
## [1253,] 0.4181159
## [1254,] 0.2342348
## [1255,] 0.2809139
## [1256,] 0.7473415
## [1257,] 1.9837229
## [1258,] 0.5102230
## [1259,] 0.3614564
## [1260,] 0.7654790
## [1261,] 1.0466184
## [1262,] 0.7864886
## [1263,] 0.6279224
## [1264,] 0.2908917
## [1265,] 0.5509565
## [1266,] 0.8424779
## [1267,] 1.3045052
## [1268,] 2.8066622
## [1269,] 0.5499749
## [1270,] 0.5970771
## [1271,] 0.5491214
## [1272,] 1.0373431
## [1273,] 1.3193732
## [1274,] 1.0782230
## [1275,] 3.0173720
## [1276,] 0.7424618
## [1277,] 1.0339864
## [1278,] 0.6095968
## [1279,] 0.9347725
## [1280,] 1.2067792
## [1281,] 1.2009156
## [1282,] 0.5866192
## [1283,] 0.4654673
## [1284,] 1.2912304
## [1285,] 0.7793655
## [1286,] 1.1931148
## [1287,] 0.6721998
## [1288,] 0.6444885
## [1289,] 0.4853889
## [1290,] 2.1007308
## [1291,] 0.7471086
## [1292,] 0.7744894
## [1293,] 1.5277570
## [1294,] 0.5885985
## [1295,] 1.0884264
## [1296,] 0.6128573
## [1297,] 0.5774673
## [1298,] 0.6098165
## [1299,] 0.7093119
## [1300,] 0.4423589
## [1301,] 0.9177604
## [1302,] 0.8024592
## [1303,] 0.5048244
## [1304,] 1.2146696
## [1305,] 1.2677275
## [1306,] 0.6020010
## [1307,] 0.9790770
## [1308,] 1.2949378
## [1309,] 1.0612860
## [1310,] 1.2892294
## [1311,] 0.8139679
## [1312,] 0.3613196
## [1313,] 0.4997765
## [1314,] 1.9438409
## [1315,] 1.0467573
## [1316,] 0.9264372
## [1317,] 0.3046286
## [1318,] 5.4861825
## [1319,] 0.2290725
## [1320,] 2.3569605
## [1321,] 0.6451469
## [1322,] 0.8533896
## [1323,] 0.6455348
## [1324,] 1.2603908
## [1325,] 0.8307109
## [1326,] 0.5343810
## [1327,] 1.1177450
## [1328,] 0.4425764
## [1329,] 0.7724392
## [1330,] 0.8269235
## [1331,] 1.1428193
## [1332,] 0.7348117
## [1333,] 1.6648905
## [1334,] 0.7312933
## [1335,] 0.5269983
## [1336,] 0.9698192
## [1337,] 1.3010502
## [1338,] 0.6595489
## [1339,] 1.0085780
## [1340,] 0.9029340
## [1341,] 0.4119975
## [1342,] 0.3893974
## [1343,] 0.5540111
## [1344,] 0.4764105
## [1345,] 0.5271669
## [1346,] 0.5736053
## [1347,] 2.1799556
## [1348,] 1.0353157
## [1349,] 0.4802266
## [1350,] 0.7457301
## [1351,] 0.4113825
## [1352,] 0.3937815
## [1353,] 1.2014734
## [1354,] 0.4266352
## [1355,] 1.0398746
## [1356,] 3.1123511
## [1357,] 0.7618064
## [1358,] 1.0048780
## [1359,] 0.8496545
## [1360,] 0.6764157
## [1361,] 1.5376893
## [1362,] 0.4868541
## [1363,] 0.8979736
## [1364,] 1.0067090
## [1365,] 0.9508484
## [1366,] 1.5718605
## [1367,] 1.0400813
## [1368,] 0.5026904
## [1369,] 1.3292823
## [1370,] 1.1829474
## [1371,] 1.3999377
## [1372,] 1.4293473
## [1373,] 0.4784193
## [1374,] 0.7945937
## [1375,] 0.9828908
## [1376,] 0.7682777
## [1377,] 0.6861344
## [1378,] 0.5580688
## [1379,] 0.4616441
## [1380,] 0.5974797
## [1381,] 1.0135710
## [1382,] 0.3258566
## [1383,] 0.6914221
## [1384,] 0.7203538
## [1385,] 2.6132821
## [1386,] 2.7689421
## [1387,] 1.0969138
## [1388,] 0.5453343
## [1389,] 1.0153147
## [1390,] 0.8883174
## [1391,] 0.4217913
## [1392,] 0.4492351
## [1393,] 0.6728954
## [1394,] 0.4416933
## [1395,] 0.5535971
## [1396,] 1.3925282
## [1397,] 1.2605912
## [1398,] 0.6134864
## [1399,] 0.6398399
## [1400,] 2.1134214
## [1401,] 0.5298316
## [1402,] 0.7435763
## [1403,] 0.7236607
## [1404,] 0.7370573
## [1405,] 1.0816691
## [1406,] 0.7944836
## [1407,] 0.5905840
## [1408,] 1.0994056
## [1409,] 0.6612958
## [1410,] 0.5162986
## [1411,] 0.6870787
## [1412,] 1.0933506
## [1413,] 1.5020112
## [1414,] 0.3611786
## [1415,] 0.7185254
## [1416,] 0.3642121
## [1417,] 2.1883504
## [1418,] 1.9031044
## [1419,] 0.6295873
## [1420,] 1.2022801
## [1421,] 0.4967543
## [1422,] 0.8831491
## [1423,] 0.9007483
## [1424,] 0.4595929
## [1425,] 0.6860091
## [1426,] 1.1925486
## [1427,] 1.1019407
## [1428,] 1.2584184
## [1429,] 1.4103006
## [1430,] 0.7477517
## [1431,] 0.6200510
## [1432,] 0.8195816
## [1433,] 0.5453352
## [1434,] 1.0772061
## [1435,] 1.0234924
## [1436,] 1.0350888
## [1437,] 1.0022183
## [1438,] 0.6559225
## [1439,] 0.4474683
## [1440,] 0.4963083
## [1441,] 2.2727538
## [1442,] 1.0692539
## [1443,] 0.3217604
## [1444,] 0.3640889
## [1445,] 2.3250685
## [1446,] 1.0910359
## [1447,] 1.7165031
## [1448,] 1.4136849
## [1449,] 0.7268621
## [1450,] 0.9686487
## [1451,] 0.6185411
## [1452,] 2.0681934
## [1453,] 0.6061190
## [1454,] 1.5531626
## [1455,] 2.8102905
## [1456,] 0.5441433
## [1457,] 0.8496451
## [1458,] 0.5364891
## [1459,] 0.6036946
## [1460,] 1.0591764
## [1461,] 0.5998560
## [1462,] 0.6123633
## [1463,] 1.8618613
## [1464,] 0.8165939
## [1465,] 0.6178378
## [1466,] 0.8451096
## [1467,] 0.5646202
## [1468,] 0.6774564
## [1469,] 1.0430203
## [1470,] 0.8414598
## [1471,] 0.2978239
## [1472,] 1.2784090
## [1473,] 1.6733464
## [1474,] 1.0625532
## [1475,] 0.5384049
## [1476,] 0.5985102
## [1477,] 0.5516757
## [1478,] 2.4819885
## [1479,] 4.0448919
## [1480,] 0.3161909
## [1481,] 0.3609450
## [1482,] 0.4278304
## [1483,] 0.6058942
## [1484,] 0.7122954
## [1485,] 0.9161996
## [1486,] 1.5134413
## [1487,] 0.3851890
## [1488,] 1.7388439
## [1489,] 0.8652884
## [1490,] 1.7997065
## [1491,] 0.7009206
## [1492,] 0.6081131
## [1493,] 0.5255825
## [1494,] 0.7196692
## [1495,] 0.5388240
## [1496,] 2.0702855
## [1497,] 1.8445281
## [1498,] 0.8957871
## [1499,] 0.2441313
## [1500,] 0.6675989
## [1501,] 0.2972741
## [1502,] 0.4858170
## [1503,] 1.3536613
## [1504,] 0.4178545
## [1505,] 0.7300608
## [1506,] 1.4257848
## [1507,] 0.5922306
## [1508,] 1.8527446
## [1509,] 1.0387772
## [1510,] 0.8449570
## [1511,] 0.5249699
## [1512,] 0.7134141
## [1513,] 0.5058621
## [1514,] 0.7900639
## [1515,] 1.9318374
## [1516,] 0.4020281
## [1517,] 0.8860845
## [1518,] 0.6624770
## [1519,] 1.5914087
## [1520,] 0.6058942
## [1521,] 0.3908745
## [1522,] 0.7901328
## [1523,] 1.1975367
## [1524,] 1.1373950
## [1525,] 0.3189889
## [1526,] 0.4565582
## [1527,] 0.5575183
## [1528,] 0.6580415
## [1529,] 0.6285536
## [1530,] 0.5276407
## [1531,] 0.7574467
## [1532,] 0.7581594
## [1533,] 0.9061039
## [1534,] 0.8298444
## [1535,] 0.3545887
## [1536,] 0.9440203
## [1537,] 0.4289364
## [1538,] 1.3683331
## [1539,] 0.6222407
## [1540,] 0.6008297
## [1541,] 1.0832013
## [1542,] 1.5990610
## [1543,] 0.5860730
## [1544,] 0.5678657
## [1545,] 0.4558520
## [1546,] 0.6202446
## [1547,] 4.0528152
## [1548,] 0.5706408
## [1549,] 0.6838368
## [1550,] 2.0239479
## [1551,] 1.5119618
## [1552,] 3.0775713
## [1553,] 0.7983747
## [1554,] 1.2174663
## [1555,] 0.5401829
## [1556,] 0.4682165
## [1557,] 0.7688864
## [1558,] 0.3848204
## [1559,] 0.7562338
## [1560,] 0.7998481
## [1561,] 0.4812387
## [1562,] 1.9865395
## [1563,] 0.7322046
## [1564,] 0.9780788
## [1565,] 0.6641437
## [1566,] 0.7222174
## [1567,] 0.6941739
## [1568,] 0.7803599
## [1569,] 0.6755515
## [1570,] 1.1615898
## [1571,] 0.3217274
## [1572,] 0.6934630
## [1573,] 1.3934757
## [1574,] 1.0375913
## [1575,] 0.4846231
## [1576,] 0.6041273
## [1577,] 0.5870691
## [1578,] 0.4555051
## [1579,] 1.5137838
## [1580,] 1.4549512
## [1581,] 1.5770702
## [1582,] 0.6873813
## [1583,] 0.7247655
## [1584,] 1.3726467
## [1585,] 0.4341642
## [1586,] 0.8747982
## [1587,] 0.9783969
## [1588,] 0.3870639
## [1589,] 0.6315946
## [1590,] 0.6810886
## [1591,] 1.1451228
## [1592,] 2.5430835
## [1593,] 0.4883993
## [1594,] 1.1384925
## [1595,] 0.8462895
## [1596,] 0.5004810
## [1597,] 0.2920942
## [1598,] 0.5499315
## [1599,] 0.6994584
## [1600,] 0.3803079
## [1601,] 0.5427892
## [1602,] 0.4359685
## [1603,] 1.1329810
## [1604,] 0.8412852
## [1605,] 0.6091018
## [1606,] 1.2475371
## [1607,] 0.4069662
## [1608,] 1.6012649
## [1609,] 0.5998068
## [1610,] 1.0433525
## [1611,] 0.9352165
## [1612,] 2.8418254
## [1613,] 0.6338117
## [1614,] 1.0226761
## [1615,] 1.8500823
## [1616,] 0.5249130
## [1617,] 0.3115236
## [1618,] 0.8594067
## [1619,] 1.0745810
## [1620,] 0.5871833
## [1621,] 0.6538219
## [1622,] 0.9710947
## [1623,] 0.7459045
## [1624,] 0.6884574
## [1625,] 1.1720309
## [1626,] 0.7739977
## [1627,] 3.2639296
## [1628,] 0.7568298
## [1629,] 1.5531066
## [1630,] 0.7718556
## [1631,] 6.0430773
## [1632,] 0.5608619
## [1633,] 0.4260987
## [1634,] 1.1547386
## [1635,] 0.4065819
## [1636,] 0.2595431
## [1637,] 1.1599348
## [1638,] 0.7676703
## [1639,] 1.4842844
## [1640,] 0.7879093
## [1641,] 1.1154592
## [1642,] 0.8175598
## [1643,] 0.8141582
## [1644,] 0.5838914
## [1645,] 1.0001467
## [1646,] 1.2574009
## [1647,] 0.8260250
## [1648,] 1.2600673
## [1649,] 0.5074787
## [1650,] 0.3374514
## [1651,] 0.7995334
## [1652,] 0.9215958
## [1653,] 0.5249600
## [1654,] 0.5215741
## [1655,] 1.7805219
## [1656,] 0.4585950
## [1657,] 0.5378469
## [1658,] 1.7181905
## [1659,] 0.9293176
## [1660,] 1.1090727
## [1661,] 0.7423847
## [1662,] 1.4832358
## [1663,] 0.5241633
## [1664,] 0.5271604
## [1665,] 0.6590698
## [1666,] 0.7384753
## [1667,] 1.5112038
## [1668,] 0.5115277
## [1669,] 1.0328017
## [1670,] 1.6872141
## [1671,] 1.2797048
## [1672,] 0.6359198
## [1673,] 1.2506735
## [1674,] 2.7382145
## [1675,] 2.8981901
## [1676,] 1.9175730
## [1677,] 0.7662323
## [1678,] 0.4556264
## [1679,] 1.0765823
## [1680,] 0.4046378
## [1681,] 0.7076613
## [1682,] 0.5435774
## [1683,] 0.8225799
## [1684,] 1.8820926
## [1685,] 0.8560916
## [1686,] 0.5717071
## [1687,] 2.6986762
## [1688,] 0.7887502
## [1689,] 0.6628055
## [1690,] 0.9724962
## [1691,] 0.6815389
## [1692,] 1.6659287
## [1693,] 1.4118782
## [1694,] 0.4804720
## [1695,] 0.5417106
## [1696,] 0.6481005
## [1697,] 1.8296155
## [1698,] 0.6562564
## [1699,] 0.8810838
## [1700,] 0.6311330
## [1701,] 0.4633782
## [1702,] 1.4602038
## [1703,] 0.7661482
## [1704,] 0.7307918
## [1705,] 1.1566306
## [1706,] 0.7767163
## [1707,] 1.4162100
## [1708,] 1.0704491
## [1709,] 3.7509081
## [1710,] 0.3440227
## [1711,] 1.8829882
## [1712,] 1.5430660
## [1713,] 0.7776532
## [1714,] 0.2793727
## [1715,] 1.1514600
## [1716,] 0.5247130
## [1717,] 0.5310986
## [1718,] 0.8764711
## [1719,] 0.4764483
## [1720,] 0.5417023
## [1721,] 3.8116274
## [1722,] 0.3442824
## [1723,] 1.2280517
## [1724,] 0.4066777
## [1725,] 0.4757906
## [1726,] 0.4669159
## [1727,] 0.4286485
## [1728,] 0.7738445
## [1729,] 0.9298991
## [1730,] 1.6358344
## [1731,] 0.6532565
## [1732,] 0.6518974
## [1733,] 0.7613588
## [1734,] 0.5981844
## [1735,] 0.6485913
## [1736,] 0.5928788
## [1737,] 0.4967147
## [1738,] 0.8730030
## [1739,] 0.8333775
## [1740,] 5.6479630
## [1741,] 0.3371812
## [1742,] 0.8499479
## [1743,] 0.8260888
## [1744,] 0.9338036
## [1745,] 0.9162616
## [1746,] 0.3310903
## [1747,] 0.6967103
## [1748,] 0.9388112
## [1749,] 1.4389499
## [1750,] 0.6063076
## [1751,] 3.1486637
## [1752,] 0.4176109
## [1753,] 0.9324866
## [1754,] 0.4260075
## [1755,] 0.8550120
## [1756,] 4.3851224
## [1757,] 1.1402114
## [1758,] 0.3233347
## [1759,] 1.0860593
## [1760,] 0.5295004
## [1761,] 1.7134178
## [1762,] 0.4057897
## [1763,] 0.8016749
## [1764,] 2.1261047
## [1765,] 0.5794161
## [1766,] 0.4986240
## [1767,] 0.6369802
## [1768,] 0.3737195
## [1769,] 0.7194968
## [1770,] 0.5990501
## [1771,] 1.6975773
## [1772,] 1.2004427
## [1773,] 0.6152428
## [1774,] 0.4982377
## [1775,] 0.5207829
## [1776,] 0.9680578
## [1777,] 1.5525624
## [1778,] 0.7104386
## [1779,] 0.9873184
## [1780,] 2.1274798
## [1781,] 0.4789946
## [1782,] 3.0045552
## [1783,] 0.3233978
## [1784,] 0.6621111
## [1785,] 0.6086387
## [1786,] 0.4929079
## [1787,] 0.5571576
## [1788,] 0.8118946
## [1789,] 1.2982671
## [1790,] 1.7151090
## [1791,] 1.7543363
## [1792,] 2.2640190
## [1793,] 1.2319865
## [1794,] 1.0025064
## [1795,] 0.9677547
## [1796,] 0.6665374
## [1797,] 0.6473356
## [1798,] 1.2341252
## [1799,] 0.8644539
## [1800,] 0.4364533
## [1801,] 0.3965408
## [1802,] 0.5780409
## [1803,] 0.6893661
## [1804,] 1.1171740
## [1805,] 0.4173999
## [1806,] 0.5186460
## [1807,] 1.1478473
## [1808,] 0.7198203
## [1809,] 1.0641102
## [1810,] 1.4789418
## [1811,] 0.7937956
## [1812,] 0.7498907
## [1813,] 0.3835407
## [1814,] 2.1803137
## [1815,] 0.8036752
## [1816,] 3.1650063
## [1817,] 0.6671297
## [1818,] 1.2554041
## [1819,] 0.7464106
## [1820,] 1.1768823
## [1821,] 0.3523308
## [1822,] 1.0805547
## [1823,] 0.7315395
## [1824,] 0.5895612
## [1825,] 1.4301558
## [1826,] 0.6631366
## [1827,] 0.6825709
## [1828,] 1.1199285
## [1829,] 0.4189256
## [1830,] 1.0755907
## [1831,] 0.6291823
## [1832,] 1.6203838
## [1833,] 0.3950697
## [1834,] 1.0656397
## [1835,] 0.5107220
## [1836,] 0.5415430
## [1837,] 0.1831263
## [1838,] 0.9748814
## [1839,] 0.4193523
## [1840,] 0.3396397
## [1841,] 0.3222127
## [1842,] 1.2721503
## [1843,] 0.5994722
## [1844,] 1.1619058
## [1845,] 1.2140015
## [1846,] 0.5216000
## [1847,] 0.5033709
## [1848,] 1.4879668
## [1849,] 0.8361062
## [1850,] 0.9398676
## [1851,] 0.9211073
## [1852,] 0.9578430
## [1853,] 2.0045093
## [1854,] 0.9819631
## [1855,] 0.4995913
## [1856,] 0.3563629
## [1857,] 1.1918983
## [1858,] 0.6930653
## [1859,] 1.0596226
## [1860,] 1.9983928
## [1861,] 1.0759344
## [1862,] 1.0555777
## [1863,] 0.5775302
## [1864,] 0.8407374
## [1865,] 0.3508846
## [1866,] 1.0004129
## [1867,] 0.6969221
## [1868,] 1.9914543
## [1869,] 0.6616295
## [1870,] 0.9944292
## [1871,] 0.7223729
## [1872,] 1.5984428
## [1873,] 0.3656565
## [1874,] 0.3321678
## [1875,] 0.7253690
## [1876,] 0.6518649
## [1877,] 0.7041191
## [1878,] 0.9736848
## [1879,] 0.4261955
## [1880,] 0.7016437
## [1881,] 0.5488628
## [1882,] 0.6056890
## [1883,] 0.5654290
## [1884,] 0.7234760
## [1885,] 0.4773681
## [1886,] 1.2942628
## [1887,] 0.6372331
## [1888,] 2.1572101
## [1889,] 0.5939557
## [1890,] 0.9049622
## [1891,] 0.6736292
## [1892,] 0.5392440
## [1893,] 0.8343662
## [1894,] 2.0702937
## [1895,] 0.6081086
## [1896,] 2.5013962
## [1897,] 0.4013735
## [1898,] 0.7979602
## [1899,] 0.4698153
## [1900,] 0.7647446
## [1901,] 0.5233821
## [1902,] 1.0037884
## [1903,] 0.8285638
## [1904,] 0.7367962
## [1905,] 0.3744590
## [1906,] 2.1827965
## [1907,] 2.2545197
## [1908,] 0.4510710
## [1909,] 0.4213309
## [1910,] 0.7446212
## [1911,] 2.1458262
## [1912,] 0.8739045
## [1913,] 1.7725368
## [1914,] 1.2656136
## [1915,] 1.8660336
## [1916,] 4.4696742
## [1917,] 0.7669028
## [1918,] 0.7733741
## [1919,] 1.4435885
## [1920,] 0.7518863
## [1921,] 0.6290690
## [1922,] 0.7312943
## [1923,] 1.0468185
## [1924,] 0.5634012
## [1925,] 1.8047522
## [1926,] 0.2479075
## [1927,] 0.7504188
## [1928,] 0.7273392
## [1929,] 0.2852283
## [1930,] 0.9953348
## [1931,] 1.0023533
## [1932,] 1.5152524
## [1933,] 0.9710294
## [1934,] 1.0439522
## [1935,] 1.2784176
## [1936,] 0.5270485
## [1937,] 1.1814460
## [1938,] 0.4602160
## [1939,] 1.9540920
## [1940,] 0.5720532
## [1941,] 0.8808441
## [1942,] 1.1298356
## [1943,] 0.9957065
## [1944,] 0.4932712
## [1945,] 0.7561161
## [1946,] 0.3113300
## [1947,] 1.3310451
## [1948,] 0.6756207
## [1949,] 0.6172727
## [1950,] 0.9010107
## [1951,] 1.6408534
## [1952,] 1.2042981
## [1953,] 1.2068688
## [1954,] 3.8459804
## [1955,] 0.7305238
## [1956,] 1.1182170
## [1957,] 0.7196153
## [1958,] 1.6882933
## [1959,] 2.1601662
## [1960,] 2.0057244
## [1961,] 1.3470031
## [1962,] 0.4999919
## [1963,] 0.5139746
## [1964,] 0.4771622
## [1965,] 2.0428199
## [1966,] 0.4958299
## [1967,] 0.6060186
## [1968,] 1.0800482
## [1969,] 1.1549904
## [1970,] 0.8979532
## [1971,] 0.9942305
## [1972,] 0.6735883
## [1973,] 0.7856785
## [1974,] 0.5133473
## [1975,] 2.8439034
## [1976,] 1.4126548
## [1977,] 2.7322356
## [1978,] 1.4856443
## [1979,] 0.8848751
## [1980,] 0.7896034
## [1981,] 0.2492591
## [1982,] 0.6679034
## [1983,] 1.2713713
## [1984,] 0.8352643
## [1985,] 0.2160910
## [1986,] 0.4769483
## [1987,] 0.4609040
## [1988,] 0.7276362
## [1989,] 1.0741014
## [1990,] 0.7935025
## [1991,] 1.2058085
## [1992,] 0.7711004
## [1993,] 1.2087435
## [1994,] 0.7967916
## [1995,] 0.4476698
## [1996,] 1.8437394
## [1997,] 0.6560482
## [1998,] 0.9829120
## [1999,] 2.2025819
## [2000,] 0.5615510
## [2001,] 0.7133692
## [2002,] 1.4236823
## [2003,] 0.6083898
## [2004,] 0.9354566
## [2005,] 0.8091091
## [2006,] 2.0270818
## [2007,] 0.4381651
## [2008,] 0.6128353
## [2009,] 2.8945309
## [2010,] 1.6167785
## [2011,] 0.6592107
## [2012,] 0.7276456
## [2013,] 0.6927386
## [2014,] 1.0603052
## [2015,] 0.4182913
## [2016,] 0.5079397
## [2017,] 2.5093154
## [2018,] 0.4506490
## [2019,] 0.3360116
## [2020,] 1.5155820
## [2021,] 0.9201737
## [2022,] 0.5195295
## [2023,] 1.8080613
## [2024,] 2.6911996
## [2025,] 1.4561259
## [2026,] 1.3669546
## [2027,] 1.1922405
## [2028,] 0.7764417
## [2029,] 2.7251548
## [2030,] 0.7764602
## [2031,] 0.8591564
## [2032,] 0.6746093
## [2033,] 0.8205702
## [2034,] 1.2174624
## [2035,] 1.8939482
## [2036,] 0.8653442
## [2037,] 2.2463244
## [2038,] 0.6958179
## [2039,] 0.6289632
## [2040,] 4.0726534
## [2041,] 1.4415125
## [2042,] 0.8450500
## [2043,] 0.7359257
## [2044,] 0.9180302
## [2045,] 1.0267484
## [2046,] 0.4319525
## [2047,] 0.4733218
## [2048,] 2.6746248
## [2049,] 2.4486619
## [2050,] 0.7708345
## [2051,] 0.3936780
## [2052,] 1.2306098
## [2053,] 0.3481668
## [2054,] 0.9047300
## [2055,] 1.0873888
## [2056,] 0.7922365
## [2057,] 0.4526979
## [2058,] 1.1107442
## [2059,] 1.1311958
## [2060,] 1.2008797
## [2061,] 1.6646478
## [2062,] 1.6984099
## [2063,] 1.0473427
## [2064,] 0.4747424
## [2065,] 0.9636348
## [2066,] 1.8233699
## [2067,] 0.5037962
## [2068,] 1.8135437
## [2069,] 0.5125181
## [2070,] 0.9545705
## [2071,] 0.3634130
## [2072,] 1.1294757
## [2073,] 0.7942343
## [2074,] 3.1157611
## [2075,] 0.6600795
## [2076,] 0.8847976
## [2077,] 0.8231550
## [2078,] 2.1538481
## [2079,] 0.5950081
## [2080,] 0.8908634
## [2081,] 0.9418594
## [2082,] 0.9537155
## [2083,] 0.6308184
## [2084,] 0.8828587
## [2085,] 0.6815774
## [2086,] 0.9333030
## [2087,] 0.5897878
## [2088,] 3.6952774
## [2089,] 0.7136363
## [2090,] 0.4722281
## [2091,] 0.7846496
## [2092,] 2.3647542
## [2093,] 0.5823151
## [2094,] 1.0683824
## [2095,] 1.1098285
## [2096,] 1.0911454
## [2097,] 0.8587832
## [2098,] 0.4030070
## [2099,] 0.7010691
## [2100,] 0.5180368
## [2101,] 0.8543348
## [2102,] 0.8535075
## [2103,] 0.6275999
## [2104,] 0.4406641
## [2105,] 1.6752595
## [2106,] 0.9354001
## [2107,] 0.4896043
## [2108,] 1.1682770
## [2109,] 1.0897048
## [2110,] 1.1115283
## [2111,] 0.6917129
## [2112,] 0.6783251
## [2113,] 0.6984023
## [2114,] 0.7298773
## [2115,] 1.2808018
## [2116,] 1.1774468
## [2117,] 0.7860300
## [2118,] 0.8260665
## [2119,] 1.6351111
## [2120,] 0.6184276
## [2121,] 0.5855767
## [2122,] 0.7317060
## [2123,] 1.8851929
## [2124,] 0.3876563
## [2125,] 0.5645824
## [2126,] 1.2263520
## [2127,] 0.5128922
## [2128,] 2.7415440
## [2129,] 1.0864494
## [2130,] 1.1640885
## [2131,] 0.7763335
## [2132,] 0.9410114
## [2133,] 0.7429396
## [2134,] 0.5024063
## [2135,] 0.5996165
## [2136,] 3.8605309
## [2137,] 0.5475992
## [2138,] 0.7432033
## [2139,] 0.7865486
## [2140,] 0.6458689
## [2141,] 0.4900286
## [2142,] 0.6838358
## [2143,] 0.6523090
## [2144,] 0.6082457
## [2145,] 0.4726513
## [2146,] 3.5441863
## [2147,] 0.9176433
## [2148,] 1.2619667
## [2149,] 1.0316240
## [2150,] 0.4501519
## [2151,] 0.4456052
## [2152,] 1.3680628
## [2153,] 0.4240386
## [2154,] 1.2974249
## [2155,] 0.8466404
## [2156,] 0.9095682
## [2157,] 1.5675061
## [2158,] 0.5377965
## [2159,] 0.6514289
## [2160,] 0.4898420
## [2161,] 0.3138783
## [2162,] 0.5221470
## [2163,] 1.1788702
## [2164,] 0.6156777
## [2165,] 1.1436594
## [2166,] 0.6018177
## [2167,] 1.4655637
## [2168,] 0.6784579
## [2169,] 1.9813238
## [2170,] 0.8500418
## [2171,] 0.7366005
## [2172,] 1.2361925
## [2173,] 0.8924391
## [2174,] 3.8523767
## [2175,] 0.8048585
## [2176,] 1.0212214
## [2177,] 1.1060055
## [2178,] 0.9658454
## [2179,] 0.5034193
## [2180,] 0.3098962
## [2181,] 0.4753588
## [2182,] 1.3270167
## [2183,] 1.0772694
## [2184,] 0.6994212
## [2185,] 2.7427710
## [2186,] 1.0069223
## [2187,] 1.0479544
## [2188,] 0.5649090
## [2189,] 0.9701270
## [2190,] 2.1032085
## [2191,] 0.6773563
## [2192,] 0.4785471
## [2193,] 0.8325570
## [2194,] 0.6596529
## [2195,] 0.4536585
## [2196,] 0.4510560
## [2197,] 1.1490114
## [2198,] 0.7781193
## [2199,] 1.6811743
## [2200,] 1.5571378
## [2201,] 0.5551523
## [2202,] 0.4741710
## [2203,] 0.7392845
## [2204,] 3.0352220
## [2205,] 3.1908935
## [2206,] 0.6741651
## [2207,] 0.4536388
## [2208,] 1.9755223
## [2209,] 0.5755129
## [2210,] 0.5994722
## [2211,] 1.3601599
## [2212,] 0.4215760
## [2213,] 1.3376641
## [2214,] 0.4616890
## [2215,] 0.5884556
## [2216,] 1.8480634
## [2217,] 0.3934880
## [2218,] 0.9217427
## [2219,] 0.5071014
## [2220,] 0.3103966
## [2221,] 0.5237609
## [2222,] 1.5060632
## [2223,] 1.0330761
## [2224,] 1.9501662
## [2225,] 0.9926346
## [2226,] 0.7223484
## [2227,] 1.0163674
## [2228,] 0.6586660
## [2229,] 0.6156086
## [2230,] 0.5982363
## [2231,] 0.7493651
## [2232,] 1.0252290
## [2233,] 1.2484316
## [2234,] 1.3895323
## [2235,] 1.0667406
## [2236,] 0.8829387
## [2237,] 0.8276268
## [2238,] 1.6341491
## [2239,] 3.1362820
## [2240,] 1.2966130
## [2241,] 1.2904970
## [2242,] 3.3358990
## [2243,] 1.1658181
## [2244,] 1.1544972
## [2245,] 1.3120800
## [2246,] 1.4272116
## [2247,] 2.4885816
## [2248,] 0.6729327
## [2249,] 1.7560229
## [2250,] 0.9312385
## [2251,] 0.6363704
## [2252,] 0.4079109
## [2253,] 0.5376716
## [2254,] 0.9686487
## [2255,] 1.1577777
## [2256,] 1.1784215
## [2257,] 1.7743994
## [2258,] 0.8404632
## [2259,] 0.9170227
## [2260,] 0.3962231
## [2261,] 0.4230655
## [2262,] 1.6530063
## [2263,] 0.4282590
## [2264,] 2.3628239
## [2265,] 0.6465729
## [2266,] 0.4328498
## [2267,] 0.7683625
## [2268,] 0.5671067
## [2269,] 1.7582630
## [2270,] 0.4203405
## [2271,] 1.2603862
## [2272,] 0.4530449
## [2273,] 0.8602481
## [2274,] 2.8952811
## [2275,] 0.8412272
## [2276,] 0.4647403
## [2277,] 1.0632710
## [2278,] 0.4439414
## [2279,] 0.5394459
## [2280,] 0.5233562
## [2281,] 0.4174321
## [2282,] 1.2795646
## [2283,] 0.6176620
## [2284,] 0.6975240
## [2285,] 0.4391655
## [2286,] 2.5000464
## [2287,] 0.4953153
## [2288,] 0.5981983
## [2289,] 0.9170360
## [2290,] 1.2727697
## [2291,] 4.1814864
## [2292,] 1.0585421
## [2293,] 0.6399596
## [2294,] 1.0329095
## [2295,] 0.7718180
## [2296,] 0.8232014
## [2297,] 1.3680818
## [2298,] 0.7397920
## [2299,] 0.7349130
## [2300,] 1.0093324
## [2301,] 1.0001467
## [2302,] 0.4636325
## [2303,] 1.3150784
## [2304,] 0.6009491
## [2305,] 0.7372534
## [2306,] 1.1143144
## [2307,] 0.8697738
## [2308,] 0.7362958
## [2309,] 0.4593954
## [2310,] 0.6759946
## [2311,] 1.7100090
## [2312,] 0.7552736
## [2313,] 4.0698485
## [2314,] 0.3823498
## [2315,] 0.6837062
## [2316,] 0.7511211
## [2317,] 1.1468903
## [2318,] 1.5852993
## [2319,] 0.9428602
## [2320,] 2.0542562
## [2321,] 0.6145449
## [2322,] 0.7989682
## [2323,] 6.4934027
## [2324,] 0.3806795
## [2325,] 1.3365806
## [2326,] 1.4848445
## [2327,] 0.4755337
## [2328,] 0.5391507
## [2329,] 0.6553401
## [2330,] 0.8234230
## [2331,] 1.2353572
## [2332,] 0.6373450
## [2333,] 0.6511291
## [2334,] 1.4509231
## [2335,] 0.4721425
## [2336,] 0.8185154
## [2337,] 0.6398429
## [2338,] 0.7839849
## [2339,] 0.4457846
## [2340,] 1.3238882
## [2341,] 1.9979884
## [2342,] 1.7528088
## [2343,] 2.3155143
## [2344,] 3.7898371
## [2345,] 0.5674443
## [2346,] 2.7346801
## [2347,] 0.5951037
## [2348,] 0.7974675
## [2349,] 0.6122427
## [2350,] 0.6313531
## [2351,] 0.7499446
## [2352,] 2.7742025
## [2353,] 0.5362102
## [2354,] 0.6398399
## [2355,] 0.5754642
## [2356,] 0.6062057
## [2357,] 0.4983868
## [2358,] 1.0672765
## [2359,] 0.6513850
## [2360,] 0.7040846
## [2361,] 0.7676175
## [2362,] 0.8727230
## [2363,] 0.8807372
## [2364,] 1.3271542
## [2365,] 0.4140768
## [2366,] 0.6230348
## [2367,] 1.6364401
## [2368,] 1.1714131
## [2369,] 0.3499785
## [2370,] 0.3837521
## [2371,] 0.5265095
## [2372,] 0.2482025
## [2373,] 1.8324974
## [2374,] 0.5795722
## [2375,] 0.7559375
## [2376,] 0.8966756
## [2377,] 0.8147931
## [2378,] 0.6051381
## [2379,] 0.7440083
## [2380,] 1.1263586
## [2381,] 1.0367642
## [2382,] 0.9747329
## [2383,] 1.0278896
## [2384,] 0.4183410
## [2385,] 1.6746104
## [2386,] 0.4481453
## [2387,] 0.6669237
## [2388,] 0.6638482
## [2389,] 0.8303539
## [2390,] 0.4072344
## [2391,] 0.7250882
## [2392,] 0.8607945
## [2393,] 0.5934870
## [2394,] 0.6709655
## [2395,] 0.7142579
## [2396,] 0.4309693
## [2397,] 1.3975751
## [2398,] 0.7941941
## [2399,] 1.0348587
## [2400,] 1.3892883
## [2401,] 0.5800914
## [2402,] 1.5207812
## [2403,] 0.5550416
## [2404,] 1.0499054
## [2405,] 1.1263687
## [2406,] 0.7139618
## [2407,] 0.8267245
## [2408,] 0.6815522
## [2409,] 0.7387066
## [2410,] 0.9730720
## [2411,] 0.3814864
## [2412,] 0.2972057
## [2413,] 5.3812651
## [2414,] 0.6465505
## [2415,] 0.7083413
## [2416,] 0.6932181
## [2417,] 3.0895312
## [2418,] 1.2323697
## [2419,] 1.1637523
## [2420,] 1.7018282
## [2421,] 0.7694694
## [2422,] 1.8719679
## [2423,] 0.8427965
## [2424,] 0.5124181
## [2425,] 0.5420584
## [2426,] 0.8844094
## [2427,] 0.5138356
## [2428,] 0.5924366
## [2429,] 0.6018147
## [2430,] 0.6926357
## [2431,] 1.1068308
## [2432,] 1.3009046
## [2433,] 0.5075808
## [2434,] 0.5929985
## [2435,] 0.6739728
## [2436,] 0.3302704
## [2437,] 0.8987408
## [2438,] 2.0359600
## [2439,] 0.6188657
## [2440,] 0.5263962
## [2441,] 0.2367984
## [2442,] 4.0021913
## [2443,] 1.0697707
## [2444,] 0.3587931
## [2445,] 3.0254094
## [2446,] 0.4731734
## [2447,] 0.6389272
## [2448,] 0.7055893
## [2449,] 3.0932409
## [2450,] 1.6521705
## [2451,] 0.5461358
## [2452,] 1.1679203
## [2453,] 0.6503722
## [2454,] 0.4900139
## [2455,] 1.0727823
## [2456,] 0.5739301
## [2457,] 0.7113437
## [2458,] 1.5504989
## [2459,] 1.8838347
## [2460,] 1.1124184
## [2461,] 1.3240091
## [2462,] 0.3201605
## [2463,] 1.6417828
## [2464,] 1.1008131
## [2465,] 0.5426250
## [2466,] 0.9629952
## [2467,] 1.4055309
## [2468,] 0.9912295
## [2469,] 0.6353520
## [2470,] 0.5328769
## [2471,] 0.7308271
## [2472,] 1.6047541
## [2473,] 1.4602253
## [2474,] 0.6340043
## [2475,] 0.9264689
## [2476,] 1.5043652
## [2477,] 4.9953226
## [2478,] 1.1887903
## [2479,] 0.7045829
## [2480,] 0.5214786
## [2481,] 0.7478305
## [2482,] 1.8920671
## [2483,] 0.7719641
## [2484,] 1.0359200
## [2485,] 0.4562982
## [2486,] 0.9206595
## [2487,] 0.3707139
## [2488,] 0.4045919
## [2489,] 0.4907350
## [2490,] 0.5475082
## [2491,] 0.3646929
## [2492,] 1.3048725
## [2493,] 0.7871197
## [2494,] 0.6597591
## [2495,] 1.6582873
## [2496,] 0.4426585
## [2497,] 0.5665523
## [2498,] 0.6510657
## [2499,] 0.7232062
## [2500,] 0.5519190
## [2501,] 2.1520379
## [2502,] 1.1088669
## [2503,] 1.6516876
## [2504,] 0.7285346
## [2505,] 1.4399307
## [2506,] 1.1647774
## [2507,] 0.6236151
## [2508,] 0.9374716
## [2509,] 0.7091668
## [2510,] 0.4157431
## [2511,] 0.3244058
## [2512,] 0.9305436
## [2513,] 0.5755727
## [2514,] 0.6705114
## [2515,] 1.0090952
## [2516,] 0.4000835
## [2517,] 0.6803308
## [2518,] 0.7264708
## [2519,] 4.2048871
## [2520,] 1.3626430
## [2521,] 0.9397168
## [2522,] 1.2005676
## [2523,] 0.4584366
## [2524,] 1.0068643
## [2525,] 0.3555714
## [2526,] 1.8123359
## [2527,] 0.4194341
## [2528,] 2.0328839
## [2529,] 0.9538775
## [2530,] 0.4862973
## [2531,] 0.6087893
## [2532,] 0.4467320
## [2533,] 1.9259524
## [2534,] 0.6567257
## [2535,] 0.4729279
## [2536,] 1.0642734
## [2537,] 1.1611549
## [2538,] 1.1256031
## [2539,] 0.5104329
## [2540,] 0.6496516
## [2541,] 0.8241256
## [2542,] 0.6969756
## [2543,] 0.9540975
## [2544,] 0.4193062
## [2545,] 0.9300264
## [2546,] 0.2443902
## [2547,] 1.2358042
## [2548,] 2.3179923
## [2549,] 0.6134171
## [2550,] 0.4665701
## [2551,] 1.2475371
## [2552,] 0.2611178
## [2553,] 0.4764105
## [2554,] 0.9401244
## [2555,] 1.2504725
## [2556,] 0.2590193
## [2557,] 0.3470529
## [2558,] 1.3244262
## [2559,] 0.9299468
## [2560,] 2.7073450
## [2561,] 0.5092909
## [2562,] 1.3938987
## [2563,] 0.5663325
## [2564,] 0.4750973
## [2565,] 0.9264602
## [2566,] 0.5554917
## [2567,] 0.8708696
## [2568,] 0.9979517
## [2569,] 3.6416261
## [2570,] 2.3349320
## [2571,] 0.3894788
## [2572,] 0.8836437
## [2573,] 0.8775300
## [2574,] 0.9670310
## [2575,] 1.0694142
## [2576,] 1.0422683
## [2577,] 0.4768219
## [2578,] 0.9954361
## [2579,] 1.1609599
## [2580,] 0.5087634
## [2581,] 0.5023274
## [2582,] 0.5741074
## [2583,] 0.4368513
## [2584,] 0.3509962
## [2585,] 0.6937346
## [2586,] 2.6619914
## [2587,] 1.2917372
## [2588,] 0.3396236
## [2589,] 0.7092039
## [2590,] 1.0098424
## [2591,] 0.3976689
## [2592,] 0.4606627
## [2593,] 0.3464437
## [2594,] 1.0246474
## [2595,] 0.7684143
## [2596,] 0.7366527
## [2597,] 2.3679545
## [2598,] 1.2943350
## [2599,] 3.8956219
## [2600,] 0.8361206
## [2601,] 0.7703151
## [2602,] 0.6751464
## [2603,] 1.7759535
## [2604,] 2.7028210
## [2605,] 0.4538780
## [2606,] 1.7332775
## [2607,] 0.6198896
## [2608,] 0.6660974
## [2609,] 0.4831847
## [2610,] 0.9933585
## [2611,] 0.7452669
## [2612,] 0.8143472
## [2613,] 0.3919942
## [2614,] 0.8112284
## [2615,] 0.6828920
## [2616,] 1.9193821
## [2617,] 0.5087946
## [2618,] 0.8356054
## [2619,] 0.9459345
## [2620,] 1.4804733
## [2621,] 0.7209342
## [2622,] 1.8474129
## [2623,] 0.6497366
## [2624,] 0.4665583
## [2625,] 0.9461397
## [2626,] 0.9051216
## [2627,] 0.8968429
## [2628,] 0.5198165
## [2629,] 0.7263048
## [2630,] 0.9777952
## [2631,] 0.8238525
## [2632,] 1.3712547
## [2633,] 0.7816910
## [2634,] 1.0663926
## [2635,] 2.8820088
## [2636,] 1.9340246
## [2637,] 1.1639633
## [2638,] 0.8242466
## [2639,] 1.3262759
## [2640,] 0.8212503
## [2641,] 1.3178545
## [2642,] 0.9306844
## [2643,] 2.1512267
## [2644,] 1.2904191
## [2645,] 0.8333675
## [2646,] 1.8878757
## [2647,] 0.6572292
## [2648,] 0.6126163
## [2649,] 0.5256285
## [2650,] 1.2580118
## [2651,] 0.5332871
## [2652,] 0.3905049
## [2653,] 2.3531401
## [2654,] 0.7470559
## [2655,] 0.5025910
## [2656,] 1.0754312
## [2657,] 0.6801142
## [2658,] 0.5839198
## [2659,] 1.8884172
## [2660,] 0.5413912
## [2661,] 0.6082404
## [2662,] 0.6550011
## [2663,] 1.4607735
## [2664,] 2.8211317
## [2665,] 0.5580430
## [2666,] 1.2416809
## [2667,] 0.4268426
## [2668,] 2.2137823
## [2669,] 0.7089427
## [2670,] 0.7537540
## [2671,] 0.5351132
## [2672,] 0.9239287
## [2673,] 0.8050564
## [2674,] 1.3713132
## [2675,] 1.7247495
## [2676,] 0.7090474
## [2677,] 1.2633205
## [2678,] 0.2738851
## [2679,] 0.4854703
## [2680,] 0.7705223
## [2681,] 0.5194802
## [2682,] 0.9122539
## [2683,] 0.6708707
## [2684,] 0.8581696
## [2685,] 0.5246705
## [2686,] 0.6043944
## [2687,] 1.0378943
## [2688,] 0.6805277
## [2689,] 2.2408207
## [2690,] 0.5430078
## [2691,] 2.5953768
## [2692,] 1.7516827
## [2693,] 1.3584902
## [2694,] 0.8030571
## [2695,] 0.8851006
## [2696,] 0.3791129
## [2697,] 0.5745457
## [2698,] 0.7396158
## [2699,] 0.9913855
## [2700,] 0.4732064
## [2701,] 0.6540654
## [2702,] 0.3888268
## [2703,] 1.5351480
## [2704,] 0.9998108
## [2705,] 0.7402258
## [2706,] 1.1196813
## [2707,] 0.5776726
## [2708,] 0.6333695
## [2709,] 1.0377518
## [2710,] 0.6122393
## [2711,] 1.1451640
## [2712,] 2.6619914
## [2713,] 2.9329784
## [2714,] 1.0558849
## [2715,] 0.6605552
## [2716,] 1.2686698
## [2717,] 0.9204457
## [2718,] 0.5526983
## [2719,] 0.5378361
## [2720,] 1.2560800
## [2721,] 0.4774925
## [2722,] 0.6401071
## [2723,] 0.4732263
## [2724,] 1.5317780
## [2725,] 0.7960549
## [2726,] 1.0411044
## [2727,] 0.9229082
## [2728,] 2.0394521
## [2729,] 0.4511587
## [2730,] 0.5112163
## [2731,] 1.1115894
## [2732,] 0.8672928
## [2733,] 0.5162077
## [2734,] 0.2565833
## [2735,] 1.1252782
## [2736,] 0.5205194
## [2737,] 1.0813907
## [2738,] 1.2092674
## [2739,] 2.0601374
## [2740,] 0.7552716
## [2741,] 0.4907024
## [2742,] 0.6700225
## [2743,] 0.7135956
## [2744,] 0.4080233
## [2745,] 2.1642404
## [2746,] 0.8186039
## [2747,] 1.6018921
## [2748,] 0.3218669
## [2749,] 1.0025585
## [2750,] 0.4503436
## [2751,] 1.8566839
## [2752,] 0.6519965
## [2753,] 0.4750989
## [2754,] 0.2954057
## [2755,] 0.5593860
## [2756,] 0.9052153
## [2757,] 0.5335066
## [2758,] 1.0428664
## [2759,] 0.6608718
## [2760,] 0.6987133
## [2761,] 1.0862155
## [2762,] 0.4312976
## [2763,] 0.5340219
## [2764,] 0.8853466
## [2765,] 0.5352644
## [2766,] 2.3102423
## [2767,] 2.5670241
## [2768,] 0.4883590
## [2769,] 1.8127077
## [2770,] 0.6032202
## [2771,] 0.3746393
## [2772,] 0.4842761
## [2773,] 1.3599418
## [2774,] 0.3706193
## [2775,] 0.9896839
## [2776,] 0.5733696
## [2777,] 0.7441898
## [2778,] 2.7917939
## [2779,] 0.4766208
## [2780,] 0.6533939
## [2781,] 0.5437147
## [2782,] 0.6064908
## [2783,] 0.5052664
## [2784,] 0.2568856
## [2785,] 0.8912912
## [2786,] 0.9310853
## [2787,] 0.6843482
## [2788,] 0.3318381
## [2789,] 0.4362139
## [2790,] 1.0276104
## [2791,] 0.7673966
## [2792,] 0.8478359
## [2793,] 0.5393771
## [2794,] 1.2222266
## [2795,] 0.6889705
## [2796,] 0.4596947
## [2797,] 0.7260862
## [2798,] 0.4741795
## [2799,] 0.7531003
## [2800,] 0.9178627
## [2801,] 0.6062899
## [2802,] 1.6374215
## [2803,] 0.6082457
## [2804,] 1.6828658
## [2805,] 0.6158429
## [2806,] 0.2827706
## [2807,] 2.5198053
## [2808,] 0.7181224
## [2809,] 1.2409112
## [2810,] 0.7657622
## [2811,] 1.2751729
## [2812,] 1.5747451
## [2813,] 0.6530883
## [2814,] 0.8530369
## [2815,] 0.5715318
## [2816,] 0.4744210
## [2817,] 0.9030513
## [2818,] 0.4748251
## [2819,] 0.3691721
## [2820,] 0.7839754
## [2821,] 0.6433814
## [2822,] 0.7056164
## [2823,] 0.6172928
## [2824,] 1.6596743
## [2825,] 1.3225531
## [2826,] 0.3090504
## [2827,] 0.6909771
## [2828,] 0.4680903
## [2829,] 0.5123987
## [2830,] 0.6171409
## [2831,] 2.8829997
## [2832,] 0.6455468
## [2833,] 0.4191744
## [2834,] 0.9359339
## [2835,] 2.6705266
## [2836,] 0.8144037
## [2837,] 0.5210730
## [2838,] 0.7869831
## [2839,] 1.6296488
## [2840,] 3.2461354
## [2841,] 0.5329761
## [2842,] 0.7537087
## [2843,] 0.5121078
## [2844,] 5.9559564
## [2845,] 0.4155823
## [2846,] 0.2424928
## [2847,] 0.5693605
## [2848,] 0.7526007
## [2849,] 0.7886252
## [2850,] 0.7476409
## [2851,] 0.8421864
## [2852,] 0.5041134
## [2853,] 1.0998068
## [2854,] 4.1792017
## [2855,] 0.6692366
## [2856,] 0.7461230
## [2857,] 1.4206220
## [2858,] 2.3684272
## [2859,] 0.9984837
## [2860,] 2.4630821
## [2861,] 0.7726143
## [2862,] 1.1727880
## [2863,] 1.1788728
## [2864,] 0.5591260
## [2865,] 0.3557027
## [2866,] 2.8268404
## [2867,] 0.4912817
## [2868,] 0.7883814
## [2869,] 1.7240328
## [2870,] 0.8122068
## [2871,] 1.4551957
## [2872,] 0.9931256
## [2873,] 3.2225719
## [2874,] 0.5854005
## [2875,] 0.6974193
## [2876,] 1.1499727
## [2877,] 0.7390078
## [2878,] 1.3209346
## [2879,] 0.7549446
## [2880,] 1.7595851
## [2881,] 0.7946831
## [2882,] 2.3200039
## [2883,] 0.7536529
## [2884,] 0.8913453
## [2885,] 0.7738104
## [2886,] 0.4720975
## [2887,] 0.7579639
## [2888,] 0.8327228
## [2889,] 2.9312670
## [2890,] 0.4743248
## [2891,] 0.7974859
## [2892,] 0.1972038
## [2893,] 0.4680476
## [2894,] 0.8666355
## [2895,] 1.4101628
## [2896,] 0.5084606
## [2897,] 0.8351814
## [2898,] 0.5025239
## [2899,] 0.5922179
## [2900,] 0.5602318
## [2901,] 0.4468331
## [2902,] 0.4626865
## [2903,] 0.7378138
## [2904,] 0.4275781
## [2905,] 1.3672011
## [2906,] 0.5628955
## [2907,] 1.3949034
## [2908,] 0.9041199
## [2909,] 0.5777187
## [2910,] 2.0844421
## [2911,] 1.5824080
## [2912,] 2.0534330
## [2913,] 1.5571208
## [2914,] 0.5802976
## [2915,] 0.6654364
## [2916,] 1.5754899
## [2917,] 2.2348520
## [2918,] 1.2092549
## [2919,] 0.5429353
## [2920,] 0.4151341
## [2921,] 0.4624195
## [2922,] 0.7808155
## [2923,] 0.5415430
## [2924,] 0.7579400
## [2925,] 3.8459804
## [2926,] 0.7368322
## [2927,] 0.7182849
## [2928,] 1.2397398
## [2929,] 0.5309695
## [2930,] 0.8576715
## [2931,] 1.1975653
## [2932,] 0.7425907
## [2933,] 1.2067055
## [2934,] 0.6099707
## [2935,] 0.5368067
## [2936,] 1.6289451
## [2937,] 0.9912295
## [2938,] 0.5650827
## [2939,] 0.5320886
## [2940,] 1.1885847
## [2941,] 0.5602922
## [2942,] 0.8064749
## [2943,] 2.0167589
## [2944,] 0.6817099
## [2945,] 1.7955155
## [2946,] 0.6235999
## [2947,] 0.6091650
## [2948,] 0.5337426
## [2949,] 2.4603453
## [2950,] 1.2136035
## [2951,] 4.3116116
## [2952,] 1.1199135
## [2953,] 0.9458129
## [2954,] 0.5172305
## [2955,] 0.8856021
## [2956,] 0.3257549
## [2957,] 1.1236659
## [2958,] 0.4882518
## [2959,] 0.5910224
## [2960,] 0.4353003
## [2961,] 0.7993498
## [2962,] 1.1519548
## [2963,] 0.8195913
## [2964,] 0.4238103
## [2965,] 0.6118645
## [2966,] 0.5197072
## [2967,] 0.5605588
## [2968,] 0.7178127
## [2969,] 1.3270288
## [2970,] 3.1145467
## [2971,] 0.5164843
## [2972,] 0.6711764
## [2973,] 1.0608806
## [2974,] 0.9171443
## [2975,] 0.8397187
## [2976,] 0.8219675
## [2977,] 1.2847859
## [2978,] 0.6070162
## [2979,] 0.9776617
## [2980,] 1.3938213
## [2981,] 1.0917102
## [2982,] 0.3920550
## [2983,] 2.8486489
## [2984,] 1.4882154
## [2985,] 0.9585980
## [2986,] 1.7180808
## [2987,] 2.8059189
## [2988,] 0.7791789
## [2989,] 0.6252096
## [2990,] 1.1267948
## [2991,] 0.7643624
## [2992,] 0.6291823
## [2993,] 0.7995620
## [2994,] 0.5317224
## [2995,] 0.3795142
## [2996,] 0.4422482
## [2997,] 0.6944879
## [2998,] 0.5210218
## [2999,] 1.1406374
## [3000,] 1.7001961
## [3001,] 0.7791351
## [3002,] 0.5276581
## [3003,] 0.9573573
## [3004,] 0.8696158
## [3005,] 1.1264884
## [3006,] 0.6457200
## [3007,] 0.8816431
## [3008,] 1.8757497
## [3009,] 0.3161706
## [3010,] 0.4084479
## [3011,] 4.0805383
## [3012,] 0.5157581
## [3013,] 1.2912720
## [3014,] 0.7153144
## [3015,] 0.5418765
## [3016,] 0.6528363
## [3017,] 0.9744212
## [3018,] 0.4872825
## [3019,] 1.0529556
## [3020,] 1.1768959
## [3021,] 0.7627517
## [3022,] 0.4629784
## [3023,] 1.5905057
## [3024,] 1.5840233
## [3025,] 0.7076993
## [3026,] 0.7612336
## [3027,] 0.7200731
## [3028,] 2.1960515
## [3029,] 0.4665094
## [3030,] 0.3593195
## [3031,] 0.5732179
## [3032,] 0.8944607
## [3033,] 0.4907250
## [3034,] 0.6186126
## [3035,] 1.6480389
## [3036,] 1.5109784
## [3037,] 0.5276356
## [3038,] 1.7500181
## [3039,] 0.5693609
## [3040,] 0.3787086
## [3041,] 0.3437497
## [3042,] 0.7041541
## [3043,] 0.7379586
## [3044,] 0.9289812
## [3045,] 1.4057583
## [3046,] 2.8873662
## [3047,] 0.9499972
## [3048,] 0.9054907
## [3049,] 0.7498341
## [3050,] 0.6631499
## [3051,] 0.6242283
## [3052,] 1.0753723
## [3053,] 1.5472705
## [3054,] 0.6993576
## [3055,] 2.2351865
## [3056,] 0.3956783
## [3057,] 1.0987972
## [3058,] 0.3484056
## [3059,] 1.3163330
## [3060,] 0.9951381
## [3061,] 2.1139466
## [3062,] 0.7327513
## [3063,] 0.4197833
## [3064,] 2.7427710
## [3065,] 0.6897200
## [3066,] 0.7503435
## [3067,] 1.4776695
## [3068,] 0.6239456
## [3069,] 0.9599164
## [3070,] 0.8804216
## [3071,] 0.5438178
## [3072,] 1.3010417
## [3073,] 1.6612271
## [3074,] 0.6387038
## [3075,] 1.1304960
## [3076,] 0.7106999
## [3077,] 0.7047487
## [3078,] 1.1486386
## [3079,] 0.6114442
## [3080,] 0.4761654
## [3081,] 5.0767883
## [3082,] 0.4682244
## [3083,] 2.2265404
## [3084,] 0.3218302
## [3085,] 1.4215668
## [3086,] 1.0433727
## [3087,] 0.7323416
## [3088,] 1.2575961
## [3089,] 0.7301048
## [3090,] 0.7075975
## [3091,] 2.1955628
## [3092,] 1.1728377
## [3093,] 1.0013294
## [3094,] 0.5269520
## [3095,] 1.1057608
## [3096,] 1.0228347
## [3097,] 0.4747781
## [3098,] 0.3468336
## [3099,] 0.8040855
## [3100,] 1.0166622
## [3101,] 1.0065433
## [3102,] 0.7122071
## [3103,] 0.8374805
## [3104,] 0.6723428
## [3105,] 0.7351332
## [3106,] 1.1020253
## [3107,] 0.6975603
## [3108,] 2.1143385
## [3109,] 0.9697365
## [3110,] 1.0706368
## [3111,] 1.0185550
## [3112,] 2.2431799
## [3113,] 0.5081161
## [3114,] 0.3619587
## [3115,] 0.7376821
## [3116,] 0.5323943
## [3117,] 0.5046973
## [3118,] 1.4199502
## [3119,] 0.6221398
## [3120,] 1.3782057
## [3121,] 0.9467799
## [3122,] 0.3789876
## [3123,] 0.6803442
## [3124,] 1.3018318
## [3125,] 3.6721066
## [3126,] 2.2536133
## [3127,] 0.4675681
## [3128,] 2.4199473
## [3129,] 1.0905719
## [3130,] 0.4063960
## [3131,] 0.3852954
## [3132,] 0.3773636
## [3133,] 0.8997596
## [3134,] 0.6726880
## [3135,] 1.5949442
## [3136,] 0.6889762
## [3137,] 0.8577942
## [3138,] 1.0478420
## [3139,] 0.5795803
## [3140,] 1.0615905
## [3141,] 2.0366360
## [3142,] 1.2829895
## [3143,] 0.7125019
## [3144,] 0.3505497
## [3145,] 0.8252895
## [3146,] 0.8276935
## [3147,] 0.7911947
## [3148,] 1.0777964
## [3149,] 0.9401109
## [3150,] 1.1241711
## [3151,] 1.3984335
## [3152,] 1.0485600
## [3153,] 0.5789184
## [3154,] 0.5197566
## [3155,] 0.6838368
## [3156,] 0.8363838
## [3157,] 0.2808425
## [3158,] 0.8034863
## [3159,] 0.5522950
## [3160,] 0.5031913
## [3161,] 2.2971495
## [3162,] 0.4054742
## [3163,] 0.5123782
## [3164,] 0.9262984
## [3165,] 1.7132505
## [3166,] 1.8948333
## [3167,] 0.6327827
## [3168,] 0.7674609
## [3169,] 0.6715435
## [3170,] 0.4011529
## [3171,] 1.1725764
## [3172,] 0.4681559
## [3173,] 0.6100426
## [3174,] 0.7026084
## [3175,] 3.1769649
## [3176,] 0.3100749
## [3177,] 1.0210159
## [3178,] 0.7308910
## [3179,] 1.7531976
## [3180,] 0.6672182
## [3181,] 0.9681344
## [3182,] 0.5010734
## [3183,] 0.3359745
## [3184,] 0.7679547
## [3185,] 0.8734622
## [3186,] 1.0377518
## [3187,] 1.9615128
## [3188,] 0.8344671
## [3189,] 0.3959213
## [3190,] 1.1888319
## [3191,] 1.1533965
## [3192,] 1.9602426
## [3193,] 1.4796460
## [3194,] 1.2837443
## [3195,] 0.3338495
## [3196,] 0.5154616
## [3197,] 0.6119709
## [3198,] 1.2172004
## [3199,] 0.7649885
## [3200,] 0.4828742
## [3201,] 0.5738302
## [3202,] 0.3977272
## [3203,] 1.0730488
## [3204,] 0.6266596
## [3205,] 0.4232087
## [3206,] 0.6790061
## [3207,] 1.5533808
## [3208,] 1.8976031
## [3209,] 0.5435773
## [3210,] 0.7019875
## [3211,] 1.0086031
## [3212,] 0.4021297
## [3213,] 0.5228849
## [3214,] 1.2900250
## [3215,] 2.3614113
## [3216,] 0.4258430
## [3217,] 1.4991099
## [3218,] 0.5079489
## [3219,] 1.4543014
## [3220,] 0.6802412
## [3221,] 0.7153210
## [3222,] 0.4407324
## [3223,] 2.5521707
## [3224,] 0.7536529
## [3225,] 0.4686304
## [3226,] 0.5884699
## [3227,] 0.9606179
## [3228,] 0.6893661
## [3229,] 0.8464720
## [3230,] 0.4660590
## [3231,] 0.8106228
## [3232,] 0.7941156
## [3233,] 0.3617255
## [3234,] 1.3243368
## [3235,] 1.0267496
## [3236,] 0.9726239
## [3237,] 1.0133906
## [3238,] 0.6547025
## [3239,] 0.7478640
## [3240,] 0.8473380
## [3241,] 0.6661773
## [3242,] 1.2460278
## [3243,] 0.6601167
## [3244,] 0.6318929
## [3245,] 1.0530863
## [3246,] 2.0058460
## [3247,] 0.8429961
## [3248,] 0.8876559
## [3249,] 0.7239353
## [3250,] 0.9759882
## [3251,] 0.4559561
## [3252,] 0.7682244
## [3253,] 0.7833350
## [3254,] 0.9645202
## [3255,] 1.3896983
## [3256,] 0.7408007
## [3257,] 1.0473594
## [3258,] 2.0215949
## [3259,] 0.6625839
## [3260,] 0.4789835
## [3261,] 0.5475244
## [3262,] 1.2504395
## [3263,] 0.7547175
## [3264,] 0.9872494
## [3265,] 0.9865687
## [3266,] 0.5624361
## [3267,] 0.5517745
## [3268,] 0.3727024
## [3269,] 1.9364997
## [3270,] 1.5868772
## [3271,] 1.4529655
## [3272,] 0.7251991
## [3273,] 0.7369033
## [3274,] 0.8504847
## [3275,] 0.4716177
## [3276,] 1.6708874
## [3277,] 1.2123277
## [3278,] 0.5730196
## [3279,] 1.1119204
## [3280,] 0.9528247
## [3281,] 1.0051759
## [3282,] 2.2417976
## [3283,] 0.4546987
## [3284,] 0.9744212
## [3285,] 0.8833460
## [3286,] 0.5292461
## [3287,] 1.2940658
## [3288,] 1.5030336
## [3289,] 0.8556428
## [3290,] 1.7033998
## [3291,] 0.9381045
## [3292,] 1.0516929
## [3293,] 0.7595069
## [3294,] 0.4145483
## [3295,] 1.8527358
## [3296,] 0.4174244
## [3297,] 0.6906898
## [3298,] 1.0495025
## [3299,] 0.4400512
## [3300,] 0.9257897
## [3301,] 1.3411736
## [3302,] 0.8486141
## [3303,] 0.6755679
## [3304,] 0.4894323
## [3305,] 0.5471497
## [3306,] 1.0955599
## [3307,] 1.5342826
## [3308,] 0.6345416
## [3309,] 2.0591071
## [3310,] 0.5404563
## [3311,] 0.7055928
## [3312,] 1.1381091
## [3313,] 0.8491690
## [3314,] 1.1155876
## [3315,] 0.5423271
## [3316,] 4.7433410
## [3317,] 0.4229455
## [3318,] 0.8858364
## [3319,] 0.7342966
## [3320,] 0.4945838
## [3321,] 0.2592962
## [3322,] 2.0027762
## [3323,] 0.5400594
## [3324,] 0.5987419
## [3325,] 0.6048556
## [3326,] 0.4882609
## [3327,] 0.8259688
## [3328,] 0.3929054
## [3329,] 1.8449749
## [3330,] 1.2877246
## [3331,] 0.6125262
## [3332,] 0.9600219
## [3333,] 1.0750975
## [3334,] 1.0056358
## [3335,] 1.3929924
## [3336,] 0.9046429
## [3337,] 0.7517220
## [3338,] 0.5581672
## [3339,] 0.5551901
## [3340,] 0.4547774
## [3341,] 0.8012250
## [3342,] 0.8975760
## [3343,] 0.4456347
## [3344,] 0.5110339
## [3345,] 2.8457382
## [3346,] 0.7226529
## [3347,] 0.4642797
## [3348,] 0.6726524
## [3349,] 1.2132580
## [3350,] 2.0153306
## [3351,] 1.1410949
## [3352,] 1.2256767
## [3353,] 0.4855288
## [3354,] 1.1628259
## [3355,] 0.5048752
## [3356,] 2.7457928
## [3357,] 0.6368643
## [3358,] 0.9332656
## [3359,] 1.2956666
## [3360,] 0.4652771
## [3361,] 1.5782265
## [3362,] 1.1904429
## [3363,] 0.4027071
## [3364,] 1.9768044
## [3365,] 0.3775504
## [3366,] 0.5423671
## [3367,] 0.7858813
## [3368,] 0.4947585
## [3369,] 1.1689128
## [3370,] 0.3253529
## [3371,] 0.4646454
## [3372,] 0.2750749
## [3373,] 1.3294801
## [3374,] 0.8330356
## [3375,] 1.1158749
## [3376,] 0.7052789
## [3377,] 1.7258537
## [3378,] 3.5181438
## [3379,] 4.6960422
## [3380,] 1.7370521
## [3381,] 1.2384626
## [3382,] 0.6184429
## [3383,] 0.3246592
## [3384,] 1.6743632
## [3385,] 1.5102773
## [3386,] 1.0353157
## [3387,] 0.5481344
## [3388,] 1.0452876
## [3389,] 0.2204261
## [3390,] 0.8112064
## [3391,] 0.3268309
## [3392,] 0.9453686
## [3393,] 0.4057427
## [3394,] 1.8299298
## [3395,] 3.2731960
## [3396,] 1.8402688
## [3397,] 2.8829997
## [3398,] 0.4204242
## [3399,] 0.4742240
## [3400,] 1.1665456
## [3401,] 1.7057518
## [3402,] 0.8506371
## [3403,] 0.6520880
## [3404,] 0.4423447
## [3405,] 1.3229039
## [3406,] 0.9315155
## [3407,] 0.9180703
## [3408,] 1.1411858
## [3409,] 0.8373509
## [3410,] 0.7960061
## [3411,] 1.1308166
## [3412,] 1.5962378
## [3413,] 0.7183783
## [3414,] 1.0486917
## [3415,] 2.1342222
## [3416,] 1.0792957
## [3417,] 0.6345993
## [3418,] 0.9900225
## [3419,] 0.4701652
## [3420,] 1.1576346
## [3421,] 1.1023015
## [3422,] 0.8150957
## [3423,] 0.7485540
## [3424,] 0.7154548
## [3425,] 1.8039254
## [3426,] 0.6174613
## [3427,] 0.6120445
## [3428,] 2.4135315
## [3429,] 0.9027863
## [3430,] 0.5202562
## [3431,] 0.8789203
## [3432,] 1.3411509
## [3433,] 0.7970290
## [3434,] 0.6899995
## [3435,] 0.7178809
## [3436,] 0.7934534
## [3437,] 4.4140308
## [3438,] 0.5127381
## [3439,] 0.3714835
## [3440,] 0.5409103
## [3441,] 0.5912923
## [3442,] 1.7236880
## [3443,] 1.3468388
## [3444,] 1.2871054
## [3445,] 1.0317003
## [3446,] 0.9902257
## [3447,] 0.5818208
## [3448,] 0.6091116
## [3449,] 0.4201631
## [3450,] 0.4008875
## [3451,] 0.8192895
## [3452,] 1.4793411
## [3453,] 0.6734145
## [3454,] 0.4048066
## [3455,] 1.4817622
## [3456,] 0.6409505
## [3457,] 0.6666195
## [3458,] 0.5426778
## [3459,] 0.4289798
## [3460,] 0.4278308
## [3461,] 0.8385289
## [3462,] 0.3508846
## [3463,] 1.0335864
## [3464,] 0.7091805
## [3465,] 0.7184811
## [3466,] 0.8470346
## [3467,] 0.3566421
## [3468,] 0.6201930
## [3469,] 1.5709566
## [3470,] 0.6977025
## [3471,] 1.2386648
## [3472,] 0.5438441
## [3473,] 0.4617694
## [3474,] 0.4128547
## [3475,] 3.9858596
## [3476,] 0.8928258
## [3477,] 0.6377929
## [3478,] 1.4560985
## [3479,] 0.9991958
## [3480,] 0.3446232
## [3481,] 1.3983350
## [3482,] 0.5874999
## [3483,] 0.4716464
## [3484,] 0.5831153
## [3485,] 0.8625387
## [3486,] 0.4094647
## [3487,] 0.6455693
## [3488,] 0.7440214
## [3489,] 0.6653800
## [3490,] 0.9510137
## [3491,] 0.5073820
## [3492,] 0.6911573
## [3493,] 0.3792652
## [3494,] 0.7413596
## [3495,] 1.4276254
## [3496,] 2.1403782
## [3497,] 2.0635704
## [3498,] 0.8338650
## [3499,] 1.2218459
## [3500,] 1.4107296
## [3501,] 0.4182606
## [3502,] 0.9005105
## [3503,] 0.7795991
## [3504,] 1.0527906
## [3505,] 0.8625343
## [3506,] 0.5356012
## [3507,] 0.8605759
## [3508,] 0.5496424
## [3509,] 0.8968429
## [3510,] 0.8400679
## [3511,] 1.9632678
## [3512,] 0.8372827
## [3513,] 0.7667686
## [3514,] 1.0221330
## [3515,] 0.5454032
## [3516,] 2.7706362
## [3517,] 0.6790061
## [3518,] 0.7199168
## [3519,] 1.0046100
## [3520,] 1.8938726
## [3521,] 0.9462468
## [3522,] 1.2037899
## [3523,] 0.8718490
## [3524,] 0.7882492
## [3525,] 0.8778502
## [3526,] 0.5066918
## [3527,] 1.6221699
## [3528,] 0.8261547
## [3529,] 0.9958783
## [3530,] 0.8497472
## [3531,] 1.0322368
## [3532,] 1.2125634
## [3533,] 2.2041273
## [3534,] 0.6875539
## [3535,] 1.9438761
## [3536,] 1.1680040
## [3537,] 1.2450325
## [3538,] 0.8565317
## [3539,] 3.2355076
## [3540,] 0.6546948
## [3541,] 0.5581584
## [3542,] 0.7779273
## [3543,] 0.9777904
## [3544,] 0.9154803
## [3545,] 1.0694142
## [3546,] 0.6840497
## [3547,] 0.5076067
## [3548,] 0.5802534
## [3549,] 1.3179448
## [3550,] 0.7773832
## [3551,] 0.6008748
## [3552,] 0.5183444
## [3553,] 0.7951927
## [3554,] 0.5433285
## [3555,] 3.3593576
## [3556,] 0.6842826
## [3557,] 1.1934393
## [3558,] 0.4154880
## [3559,] 4.3450441
## [3560,] 0.8564371
## [3561,] 0.5289595
## [3562,] 0.4607093
## [3563,] 0.5735962
## [3564,] 1.2195247
## [3565,] 1.4038079
## [3566,] 0.6166053
## [3567,] 0.7702158
## [3568,] 2.3586693
## [3569,] 0.4100988
## [3570,] 0.5711037
## [3571,] 1.2197623
## [3572,] 1.0327122
## [3573,] 1.1657087
## [3574,] 0.7217778
## [3575,] 0.9417952
## [3576,] 1.3188477
## [3577,] 0.6306838
## [3578,] 0.7901718
## [3579,] 1.0524028
## [3580,] 1.2650482
## [3581,] 0.8689396
## [3582,] 0.4977418
## [3583,] 0.5951422
## [3584,] 1.8484286
## [3585,] 0.4968617
## [3586,] 1.5549258
## [3587,] 0.5529851
## [3588,] 0.6994324
## [3589,] 0.2982801
## [3590,] 0.5876545
## [3591,] 2.1514406
## [3592,] 0.7512080
## [3593,] 0.8731601
## [3594,] 0.5141243
## [3595,] 0.6609159
## [3596,] 3.4986009
## [3597,] 0.9497955
## [3598,] 4.8104972
## [3599,] 0.6081086
## [3600,] 0.8348900
## [3601,] 0.4240005
## [3602,] 0.7054870
## [3603,] 1.5982047
## [3604,] 1.8518515
## [3605,] 1.2704704
## [3606,] 0.8005928
## [3607,] 1.6764359
## [3608,] 0.7629596
## [3609,] 0.5014756
## [3610,] 0.4096058
## [3611,] 0.9582232
## [3612,] 1.3366300
## [3613,] 7.0706086
## [3614,] 3.6876088
## [3615,] 3.4361284
## [3616,] 0.8407670
## [3617,] 0.3420361
## [3618,] 1.2778042
## [3619,] 1.1755422
## [3620,] 1.2441842
## [3621,] 0.7302018
## [3622,] 0.8215679
## [3623,] 0.6531438
## [3624,] 3.4038070
## [3625,] 0.5200441
## [3626,] 2.8969316
## [3627,] 0.5925621
## [3628,] 0.3884526
## [3629,] 0.4180108
## [3630,] 1.2002822
## [3631,] 2.1227987
## [3632,] 0.8835294
## [3633,] 0.6642998
## [3634,] 1.7484783
## [3635,] 0.7591543
## [3636,] 1.3553296
## [3637,] 0.7426568
## [3638,] 0.5408079
## [3639,] 0.5231549
## [3640,] 0.5598205
## [3641,] 0.4403128
## [3642,] 0.5560120
## [3643,] 0.5696110
## [3644,] 0.7005454
## [3645,] 0.5840331
## [3646,] 0.9828651
## [3647,] 1.1947666
## [3648,] 1.0502303
## [3649,] 0.7995188
## [3650,] 2.8945452
## [3651,] 0.8332399
## [3652,] 1.3384136
## [3653,] 0.8409998
## [3654,] 0.5367598
## [3655,] 0.4390132
## [3656,] 1.1219983
## [3657,] 0.5300235
## [3658,] 0.4873693
## [3659,] 2.7980249
## [3660,] 1.0565392
## [3661,] 0.6882998
## [3662,] 1.7239092
## [3663,] 0.8341259
## [3664,] 1.0168030
## [3665,] 1.4195330
## [3666,] 0.3480295
## [3667,] 1.2351346
## [3668,] 0.4039692
## [3669,] 0.7710949
## [3670,] 3.3920007
## [3671,] 3.5240506
## [3672,] 0.4882566
## [3673,] 0.6408100
## [3674,] 0.4788394
## [3675,] 0.6973033
## [3676,] 0.8514905
## [3677,] 0.8951129
## [3678,] 0.9035569
## [3679,] 0.7398077
## [3680,] 0.5265297
## [3681,] 1.9574253
## [3682,] 0.6151418
## [3683,] 0.5874817
## [3684,] 0.5994206
## [3685,] 0.5690956
## [3686,] 1.5066902
## [3687,] 0.9628055
## [3688,] 1.9281892
## [3689,] 1.0285205
## [3690,] 1.3603275
## [3691,] 0.8303786
## [3692,] 2.1127376
## [3693,] 0.6292977
## [3694,] 2.9715657
## [3695,] 0.4140760
## [3696,] 1.2982050
## [3697,] 0.9161996
## [3698,] 0.7009169
## [3699,] 2.0480814
## [3700,] 1.0593989
## [3701,] 0.4835284
## [3702,] 0.7642175
## [3703,] 0.9181745
## [3704,] 0.4031666
## [3705,] 0.8588606
## [3706,] 1.9182140
## [3707,] 1.0801028
## [3708,] 2.7964094
## [3709,] 1.0643066
## [3710,] 0.6675723
## [3711,] 0.7326563
## [3712,] 0.5292136
## [3713,] 0.4421210
## [3714,] 0.4548000
## [3715,] 1.8667097
## [3716,] 0.7379586
## [3717,] 0.6411692
## [3718,] 0.4520543
## [3719,] 1.0974377
## [3720,] 0.5879797
## [3721,] 0.6000280
## [3722,] 0.7564707
## [3723,] 1.3798983
## [3724,] 0.8460520
## [3725,] 0.8179194
## [3726,] 1.2636208
## [3727,] 1.4755041
## [3728,] 0.8253657
## [3729,] 1.9420248
## [3730,] 2.9850069
## [3731,] 2.6155356
## [3732,] 2.5107190
## [3733,] 0.9370527
## [3734,] 0.7689494
## [3735,] 1.1275887
## [3736,] 0.6840583
## [3737,] 0.9688487
## [3738,] 0.9851362
## [3739,] 1.2968183
## [3740,] 0.5194249
## [3741,] 2.2080809
## [3742,] 1.5019416
## [3743,] 0.8098059
## [3744,] 1.2966993
## [3745,] 0.9297674
## [3746,] 0.5077319
## [3747,] 0.5100740
## [3748,] 1.5432218
## [3749,] 0.7434190
## [3750,] 1.1180575
## [3751,] 0.5283842
## [3752,] 0.7341513
## [3753,] 0.7591543
## [3754,] 0.5869069
## [3755,] 0.4282843
## [3756,] 1.2436510
## [3757,] 1.0101242
## [3758,] 1.0317962
## [3759,] 0.3587888
## [3760,] 0.5287254
## [3761,] 3.5067608
## [3762,] 0.4992489
## [3763,] 0.8762551
## [3764,] 1.3435839
## [3765,] 1.3127768
## [3766,] 1.9034371
## [3767,] 0.9242045
## [3768,] 1.1874319
## [3769,] 0.7170426
## [3770,] 0.6167104
## [3771,] 0.7494978
## [3772,] 1.2860219
## [3773,] 0.5830766
## [3774,] 0.8548814
## [3775,] 0.9659931
## [3776,] 1.0468501
## [3777,] 1.5674483
## [3778,] 0.7314939
## [3779,] 2.2241955
## [3780,] 0.8858364
## [3781,] 1.4489768
## [3782,] 0.8665294
## [3783,] 1.7191531
## [3784,] 0.6766684
## [3785,] 0.4307907
## [3786,] 2.1045003
## [3787,] 1.4379786
## [3788,] 0.4480242
## [3789,] 3.0143009
## [3790,] 0.6751464
## [3791,] 1.0950674
## [3792,] 0.6672022
## [3793,] 0.6459362
## [3794,] 0.5972406
## [3795,] 2.3376825
## [3796,] 0.5170641
## [3797,] 1.2931673
## [3798,] 0.5845191
## [3799,] 0.6201850
## [3800,] 1.9883100
## [3801,] 1.1493205
## [3802,] 1.0666595
## [3803,] 0.6157416
## [3804,] 0.7411951
## [3805,] 0.8662829
## [3806,] 1.3792332
## [3807,] 3.6762575
## [3808,] 1.2666004
## [3809,] 0.8981428
## [3810,] 0.4184584
## [3811,] 0.5529689
## [3812,] 0.6190224
## [3813,] 1.0763767
## [3814,] 3.1483218
## [3815,] 0.4465016
## [3816,] 1.3748453
## [3817,] 1.2376610
## [3818,] 2.3762370
## [3819,] 0.5087401
## [3820,] 0.6724654
## [3821,] 3.1215054
## [3822,] 0.9856038
## [3823,] 0.9323582
## [3824,] 0.8800534
## [3825,] 0.4524105
## [3826,] 0.7963084
## [3827,] 1.1754505
## [3828,] 0.6058514
## [3829,] 1.2005521
## [3830,] 1.4942882
## [3831,] 0.9133146
## [3832,] 0.6760903
## [3833,] 1.1033925
## [3834,] 0.4677584
## [3835,] 4.2139420
## [3836,] 0.6084046
## [3837,] 0.2505946
## [3838,] 0.9703311
## [3839,] 0.2703354
## [3840,] 0.4092119
## [3841,] 0.5835414
## [3842,] 0.8195913
## [3843,] 0.6656026
## [3844,] 1.1688310
## [3845,] 0.3983414
## [3846,] 0.9883113
## [3847,] 0.8554546
## [3848,] 1.1305021
## [3849,] 0.5086842
## [3850,] 1.4267582
## [3851,] 0.6507814
## [3852,] 0.6240544
## [3853,] 1.8747594
## [3854,] 0.7008564
## [3855,] 0.4882194
## [3856,] 0.5727597
## [3857,] 0.6323639
## [3858,] 1.9259741
## [3859,] 0.5048621
## [3860,] 1.0367444
## [3861,] 0.6794638
## [3862,] 0.9324562
## [3863,] 0.4449165
## [3864,] 0.7068777
## [3865,] 0.5068449
## [3866,] 0.7459438
## [3867,] 1.2260678
## [3868,] 0.3615493
## [3869,] 0.7800824
## [3870,] 0.7408985
## [3871,] 0.7772664
## [3872,] 1.2023991
## [3873,] 1.1923889
## [3874,] 0.5428793
## [3875,] 0.7956991
## [3876,] 0.5490685
## [3877,] 1.5992300
## [3878,] 2.1219630
## [3879,] 0.7750288
## [3880,] 1.6918399
## [3881,] 1.6603380
## [3882,] 0.9065115
## [3883,] 0.7959778
## [3884,] 0.8765322
## [3885,] 0.8016749
## [3886,] 0.5752093
## [3887,] 1.2165043
## [3888,] 0.9770974
## [3889,] 0.6916240
## [3890,] 0.9678793
## [3891,] 0.4535920
## [3892,] 0.6798167
## [3893,] 0.6039131
## [3894,] 1.1286004
## [3895,] 0.8574739
## [3896,] 3.9686669
## [3897,] 0.9327217
## [3898,] 1.0376743
## [3899,] 0.5470534
## [3900,] 0.4674245
## [3901,] 0.5583902
## [3902,] 1.0592806
## [3903,] 0.5552921
## [3904,] 0.8330903
## [3905,] 0.7876998
## [3906,] 0.5191688
## [3907,] 0.5281675
## [3908,] 1.4680338
## [3909,] 3.3506991
## [3910,] 0.7158752
## [3911,] 0.6714368
## [3912,] 1.4155223
## [3913,] 0.3906188
## [3914,] 0.8905954
## [3915,] 0.6191362
## [3916,] 1.3445448
## [3917,] 0.7330680
## [3918,] 0.5767271
## [3919,] 0.3522667
## [3920,] 0.4294148
## [3921,] 1.2225691
## [3922,] 0.4162030
## [3923,] 0.5825836
## [3924,] 0.6980228
## [3925,] 1.0495504
## [3926,] 1.0577833
## [3927,] 0.9652941
## [3928,] 1.1665456
## [3929,] 1.9676183
## [3930,] 0.6586559
## [3931,] 0.4198425
## [3932,] 0.4587017
## [3933,] 0.3589063
## [3934,] 3.0035628
## [3935,] 0.7679984
## [3936,] 6.1496195
## [3937,] 0.7109757
## [3938,] 0.6596927
## [3939,] 0.9063592
## [3940,] 0.4895719
## [3941,] 0.2219440
## [3942,] 1.4589573
## [3943,] 1.1007214
## [3944,] 0.7149726
## [3945,] 0.7930455
## [3946,] 0.7413405
## [3947,] 0.9612340
## [3948,] 0.5558512
## [3949,] 0.4217977
## [3950,] 0.7459438
## [3951,] 0.8917936
## [3952,] 2.4354652
## [3953,] 1.7525305
## [3954,] 2.8891329
## [3955,] 0.3443644
## [3956,] 0.6656263
## [3957,] 0.5297934
## [3958,] 1.0346877
## [3959,] 0.5087696
## [3960,] 0.2706333
## [3961,] 0.5576245
## [3962,] 0.7229138
## [3963,] 0.9509160
## [3964,] 1.1981599
## [3965,] 0.9089924
## [3966,] 0.6351668
## [3967,] 0.3756662
## [3968,] 0.7934720
## [3969,] 0.6968074
## [3970,] 0.5650931
## [3971,] 0.3689314
## [3972,] 0.4223814
## [3973,] 0.2893063
## [3974,] 0.9402309
## [3975,] 0.6980691
## [3976,] 1.4350630
## [3977,] 1.1344658
## [3978,] 0.9155087
## [3979,] 4.4608144
## [3980,] 0.6371259
## [3981,] 1.0875118
## [3982,] 1.9177784
## [3983,] 1.0627328
## [3984,] 0.9847457
## [3985,] 1.2180324
## [3986,] 1.7607419
## [3987,] 0.7296017
## [3988,] 0.8082652
## [3989,] 0.8361578
## [3990,] 2.4335430
## [3991,] 3.0734441
## [3992,] 1.4588390
## [3993,] 3.4984398
## [3994,] 0.6456307
## [3995,] 1.5105451
## [3996,] 0.8692588
## [3997,] 0.6264822
## [3998,] 1.0619105
## [3999,] 2.5311987
## [4000,] 1.2303441
## [4001,] 1.0301991
## [4002,] 0.9483730
## [4003,] 0.7395543
## [4004,] 1.7328343
## [4005,] 1.2076459
## [4006,] 0.8170816
## [4007,] 0.6733826
## [4008,] 0.7418195
## [4009,] 0.7937607
## [4010,] 0.3563662
## [4011,] 0.4197305
## [4012,] 0.4612380
## [4013,] 1.9245602
## [4014,] 1.0243704
## [4015,] 0.6362640
## [4016,] 0.7791972
## [4017,] 0.6665410
## [4018,] 1.0527240
## [4019,] 2.6477989
## [4020,] 3.7919165
## [4021,] 1.0551292
## [4022,] 1.4670665
## [4023,] 0.6983441
## [4024,] 1.7731848
## [4025,] 0.5416073
## [4026,] 0.8152907
## [4027,] 0.9779232
## [4028,] 0.4089777
## [4029,] 1.7985628
## [4030,] 0.7562614
## [4031,] 1.2190444
## [4032,] 1.0828191
## [4033,] 1.3017059
## [4034,] 1.0023420
## [4035,] 0.4218316
## [4036,] 1.0240956
## [4037,] 0.8284956
## [4038,] 0.4928982
## [4039,] 1.3011702
## [4040,] 0.7619928
## [4041,] 0.8999344
## [4042,] 0.5465200
## [4043,] 0.4142525
## [4044,] 1.3431298
## [4045,] 0.3747125
## [4046,] 0.2987444
## [4047,] 0.6694040
## [4048,] 0.7272772
## [4049,] 0.5226917
## [4050,] 0.9672849
## [4051,] 2.5527627
## [4052,] 1.4055309
## [4053,] 0.6600565
## [4054,] 0.4609325
## [4055,] 1.1028683
## [4056,] 0.4330731
## [4057,] 0.5287933
## [4058,] 0.3649178
## [4059,] 1.1179749
## [4060,] 1.0870677
## [4061,] 0.3751376
## [4062,] 0.4505609
## [4063,] 0.4791564
## [4064,] 0.6252092
## [4065,] 0.8221489
## [4066,] 1.1913977
## [4067,] 0.6920014
## [4068,] 0.4321017
## [4069,] 1.2056534
## [4070,] 0.4546593
## [4071,] 3.1034398
## [4072,] 0.3737130
## [4073,] 1.7522183
## [4074,] 0.3147652
## [4075,] 0.4888323
## [4076,] 1.1309061
## [4077,] 1.2020299
## [4078,] 0.7055694
## [4079,] 1.2785793
## [4080,] 0.8559153
## [4081,] 1.0882527
## [4082,] 0.5105982
## [4083,] 0.3265797
## [4084,] 0.7437442
## [4085,] 0.9102729
## [4086,] 0.4423283
## [4087,] 0.4546987
## [4088,] 2.1016500
## [4089,] 0.5500657
## [4090,] 0.3992373
## [4091,] 0.5103869
## [4092,] 0.5951501
## [4093,] 0.5211689
## [4094,] 0.7516331
## [4095,] 0.5545358
## [4096,] 0.8007196
## [4097,] 1.0486960
## [4098,] 0.8361587
## [4099,] 0.6793520
## [4100,] 0.5288750
## [4101,] 0.9149464
## [4102,] 0.6329936
## [4103,] 0.7161118
## [4104,] 0.5991800
## [4105,] 0.5839427
## [4106,] 0.2452173
## [4107,] 0.6538889
## [4108,] 0.9332137
## [4109,] 0.8759011
## [4110,] 4.5138576
## [4111,] 0.7426336
## [4112,] 1.4770693
## [4113,] 0.5398520
## [4114,] 0.5336999
## [4115,] 0.6479939
## [4116,] 0.7252967
## [4117,] 0.7838186
## [4118,] 0.6724817
## [4119,] 0.6153826
## [4120,] 0.7167263
## [4121,] 0.4559445
## [4122,] 1.0209051
## [4123,] 0.8500010
## [4124,] 0.4834965
## [4125,] 0.8086811
## [4126,] 2.2079482
## [4127,] 0.5113834
## [4128,] 0.7730339
## [4129,] 0.6235779
## [4130,] 0.5796756
## [4131,] 0.6127328
## [4132,] 1.3933058
## [4133,] 0.7189099
## [4134,] 2.1002653
## [4135,] 0.3861038
## [4136,] 1.0483259
## [4137,] 1.4598365
## [4138,] 0.9260676
## [4139,] 0.3969387
## [4140,] 0.2494846
## [4141,] 2.1836369
## [4142,] 0.4487103
## [4143,] 1.0163218
## [4144,] 1.3194689
## [4145,] 0.6410378
## [4146,] 1.0961916
## [4147,] 0.9966935
## [4148,] 4.0254931
## [4149,] 1.7685926
## [4150,] 0.5511095
## [4151,] 0.7262280
## [4152,] 0.9059368
## [4153,] 1.7027270
## [4154,] 0.3690063
## [4155,] 0.7013754
## [4156,] 0.7308651
## [4157,] 0.8859858
## [4158,] 1.5238723
## [4159,] 0.7818882
## [4160,] 1.0354008
## [4161,] 1.0882849
## [4162,] 0.8026949
## [4163,] 0.6595802
## [4164,] 0.6593858
## [4165,] 0.4072615
## [4166,] 0.5551424
## [4167,] 1.8245505
## [4168,] 0.5978799
## [4169,] 3.1435274
## [4170,] 1.3643338
## [4171,] 0.5155990
## [4172,] 0.7519100
## [4173,] 0.6937187
## [4174,] 1.8281415
## [4175,] 1.1481183
## [4176,] 0.8565548
## [4177,] 0.5583902
## [4178,] 0.1996935
## [4179,] 0.6466604
## [4180,] 0.5483284
## [4181,] 0.7143636
## [4182,] 1.3578397
## [4183,] 0.4234490
## [4184,] 0.6829090
## [4185,] 1.0585807
## [4186,] 0.5092909
## [4187,] 0.5896100
## [4188,] 0.9330208
## [4189,] 0.7675693
## [4190,] 0.9301724
## [4191,] 0.4098093
## [4192,] 0.9236026
## [4193,] 1.3541438
## [4194,] 1.1737945
## [4195,] 0.6795527
## [4196,] 0.5969001
## [4197,] 2.5814453
## [4198,] 1.7775845
## [4199,] 0.8117911
## [4200,] 0.3807152
## [4201,] 1.3577105
## [4202,] 0.7850229
## [4203,] 0.8781744
## [4204,] 0.7621687
## [4205,] 0.9902233
## [4206,] 0.3624123
## [4207,] 0.9766086
## [4208,] 1.1866029
## [4209,] 0.4693747
## [4210,] 0.4784414
## [4211,] 0.6395913
## [4212,] 0.6824272
## [4213,] 1.4588390
## [4214,] 1.3661195
## [4215,] 0.9860048
## [4216,] 1.6690666
## [4217,] 0.4872334
## [4218,] 1.1748839
## [4219,] 0.6788887
## [4220,] 0.5805431
## [4221,] 3.4794944
## [4222,] 0.7798223
## [4223,] 0.9025116
## [4224,] 1.0247794
## [4225,] 0.8342124
## [4226,] 0.6093918
## [4227,] 0.4768226
## [4228,] 0.8333637
## [4229,] 1.3882157
## [4230,] 4.8895813
## [4231,] 1.2123582
## [4232,] 5.6505383
## [4233,] 0.8513186
## [4234,] 0.2774402
## [4235,] 0.5824811
## [4236,] 0.6577901
## [4237,] 0.5221899
## [4238,] 0.4513629
## [4239,] 1.9613878
## [4240,] 2.0514946
## [4241,] 0.6060667
## [4242,] 1.1422905
## [4243,] 1.5252367
## [4244,] 1.7182909
## [4245,] 2.1662488
## [4246,] 1.1426260
## [4247,] 0.4772473
## [4248,] 0.8869246
## [4249,] 3.5487683
## [4250,] 0.8863604
## [4251,] 0.8812894
## [4252,] 0.5801494
## [4253,] 0.5356659
## [4254,] 0.9080039
## [4255,] 0.6984163
## [4256,] 0.9490526
## [4257,] 1.0054797
## [4258,] 0.3632739
## [4259,] 1.0439933
## [4260,] 0.7071953
## [4261,] 1.3113263
## [4262,] 1.7850625
## [4263,] 0.5362744
## [4264,] 0.5241643
## [4265,] 1.3798983
## [4266,] 2.1825801
## [4267,] 1.1748476
## [4268,] 2.8242763
## [4269,] 0.4586821
## [4270,] 1.0058927
## [4271,] 1.0007962
## [4272,] 2.3911508
## [4273,] 0.8305252
## [4274,] 0.8245027
## [4275,] 0.8268305
## [4276,] 0.9754792
## [4277,] 0.8063378
## [4278,] 0.9827189
## [4279,] 0.4110742
## [4280,] 2.4058710
## [4281,] 1.4552058
## [4282,] 0.7000309
## [4283,] 1.0537188
## [4284,] 1.1299756
## [4285,] 0.8112856
## [4286,] 0.6703293
## [4287,] 0.6347434
## [4288,] 0.7654008
## [4289,] 0.7518196
## [4290,] 0.6613848
## [4291,] 0.8229581
## [4292,] 0.8957304
## [4293,] 0.4869701
## [4294,] 0.8156073
## [4295,] 1.6127072
## [4296,] 2.6311091
## [4297,] 0.5297655
## [4298,] 1.2457803
## [4299,] 1.3211568
## [4300,] 0.7905618
## [4301,] 1.1417786
## [4302,] 0.4419565
## [4303,] 0.4510715
## [4304,] 1.1259408
## [4305,] 0.4338203
## [4306,] 2.5802171
## [4307,] 0.3054435
## [4308,] 0.4828772
## [4309,] 0.7484378
## [4310,] 1.7560830
## [4311,] 0.4487580
## [4312,] 0.4698632
## [4313,] 1.4097230
## [4314,] 1.1001859
## [4315,] 0.6026095
## [4316,] 0.3720956
## [4317,] 0.6345109
## [4318,] 1.0447030
## [4319,] 0.4031816
## [4320,] 0.9093652
## [4321,] 1.8174355
## [4322,] 1.6279935
## [4323,] 0.4422888
## [4324,] 1.0393455
## [4325,] 0.7523589
## [4326,] 0.4482151
## [4327,] 0.5036564
## [4328,] 1.3465633
## [4329,] 0.9274329
## [4330,] 0.8837306
## [4331,] 1.7591481
## [4332,] 0.3096404
## [4333,] 1.1972860
## [4334,] 1.1321731
## [4335,] 0.4454608
## [4336,] 0.5314944
## [4337,] 0.3676613
## [4338,] 0.4557198
## [4339,] 0.4949511
## [4340,] 0.4940510
## [4341,] 1.0181512
## [4342,] 0.7039985
## [4343,] 0.7423550
## [4344,] 0.3640229
## [4345,] 0.6906061
## [4346,] 0.4691470
## [4347,] 0.4384716
## [4348,] 1.0611389
## [4349,] 0.3445479
## [4350,] 0.5220018
## [4351,] 1.1281334
## [4352,] 0.4882858
## [4353,] 0.5156973
## [4354,] 0.4990715
## [4355,] 0.3654264
## [4356,] 1.5114099
## [4357,] 0.4693804
## [4358,] 0.6381934
## [4359,] 0.8018821
## [4360,] 0.5181826
## [4361,] 2.7198496
## [4362,] 2.4945979
## [4363,] 0.6955245
## [4364,] 1.0536235
## [4365,] 0.6154072
## [4366,] 0.3992139
## [4367,] 1.9227443
## [4368,] 2.0349156
## [4369,] 0.5846133
## [4370,] 0.5257878
## [4371,] 0.3694392
## [4372,] 0.7163121
## [4373,] 0.7777346
## [4374,] 0.7841659
## [4375,] 0.7776283
## [4376,] 1.2949378
## [4377,] 1.1371017
## [4378,] 0.5955278
## [4379,] 0.5101543
## [4380,] 0.6515025
## [4381,] 1.3045335
## [4382,] 0.7956289
## [4383,] 0.6357203
## [4384,] 1.5845895
## [4385,] 1.4640163
## [4386,] 0.8189470
## [4387,] 0.6563334
## [4388,] 0.7856068
## [4389,] 0.9360621
## [4390,] 1.4916547
## [4391,] 0.4465139
## [4392,] 0.5092974
## [4393,] 0.5645414
## [4394,] 0.6679306
## [4395,] 2.0594862
## [4396,] 1.0720666
## [4397,] 0.3818467
## [4398,] 0.8859761
## [4399,] 0.6303552
## [4400,] 0.7392794
## [4401,] 1.1505419
## [4402,] 0.4582757
## [4403,] 1.7741549
## [4404,] 0.3822112
## [4405,] 0.7342986
## [4406,] 0.6318728
## [4407,] 1.5911907
## [4408,] 1.2953416
## [4409,] 2.7791045
## [4410,] 2.6096673
## [4411,] 1.5724131
## [4412,] 1.0575997
## [4413,] 0.6117292
## [4414,] 0.5558934
## [4415,] 0.4036663
## [4416,] 0.7245712
## [4417,] 0.4948468
## [4418,] 4.3388018
## [4419,] 0.8147424
## [4420,] 0.7259493
## [4421,] 0.5247569
## [4422,] 1.0455731
## [4423,] 0.6170122
## [4424,] 1.5079463
## [4425,] 0.8462895
## [4426,] 0.7855759
## [4427,] 0.7172219
## [4428,] 4.8536772
## [4429,] 0.6107765
## [4430,] 3.1141323
## [4431,] 0.6383992
## [4432,] 0.8080338
## [4433,] 0.4776376
## [4434,] 0.7836168
## [4435,] 1.2741320
## [4436,] 0.7385424
## [4437,] 1.1206095
## [4438,] 1.1410652
## [4439,] 0.6000280
## [4440,] 0.4030620
## [4441,] 0.6158286
## [4442,] 0.6651085
## [4443,] 0.9131349
## [4444,] 0.6728954
## [4445,] 1.1188181
## [4446,] 1.2206720
## [4447,] 2.3012087
## [4448,] 0.4648266
## [4449,] 0.3250748
## [4450,] 0.7672810
## [4451,] 0.6228424
## [4452,] 0.9562698
## [4453,] 1.6232714
## [4454,] 0.6088763
## [4455,] 1.4523185
## [4456,] 1.0694690
## [4457,] 0.5740162
## [4458,] 1.2092674
## [4459,] 0.9540217
## [4460,] 2.0199722
## [4461,] 1.4789418
## [4462,] 2.4294944
## [4463,] 0.7574280
## [4464,] 0.5090146
## [4465,] 1.6470966
## [4466,] 0.5673450
## [4467,] 1.0485559
## [4468,] 0.3204480
## [4469,] 1.5160634
## [4470,] 1.2900250
## [4471,] 0.6288072
## [4472,] 0.3829010
## [4473,] 0.8790974
## [4474,] 0.5120183
## [4475,] 0.6896179
## [4476,] 0.4257901
## [4477,] 0.4508805
## [4478,] 0.4687302
## [4479,] 0.7672582
## [4480,] 0.5425053
## [4481,] 0.9549026
## [4482,] 1.3397365
## [4483,] 0.5042443
## [4484,] 1.0416943
## [4485,] 0.4083590
## [4486,] 0.4490306
## [4487,] 0.9842811
## [4488,] 0.4403752
## [4489,] 1.1784993
## [4490,] 0.4841590
## [4491,] 0.8806765
## [4492,] 2.6311601
## [4493,] 0.8588606
## [4494,] 0.6323997
## [4495,] 0.3347142
## [4496,] 1.3030164
## [4497,] 0.7385827
## [4498,] 0.3415420
## [4499,] 0.6086738
## [4500,] 2.6339211
## [4501,] 0.5427626
## [4502,] 0.6613172
## [4503,] 3.2194948
## [4504,] 0.7334589
## [4505,] 1.1508370
## [4506,] 0.8806499
## [4507,] 0.3275533
## [4508,] 0.8513173
## [4509,] 1.0870735
## [4510,] 0.6266682
## [4511,] 1.4128223
## [4512,] 0.4388924
## [4513,] 1.0027229
## [4514,] 0.7190054
## [4515,] 2.5607822
## [4516,] 0.5827502
## [4517,] 1.3783025
## [4518,] 0.5481344
## [4519,] 0.4133427
## [4520,] 0.8565548
## [4521,] 1.1217633
## [4522,] 1.1484771
## [4523,] 0.8454965
## [4524,] 0.4946963
## [4525,] 1.6813958
## [4526,] 3.5195187
## [4527,] 0.6396329
## [4528,] 0.5425411
## [4529,] 0.7695511
## [4530,] 0.7386480
## [4531,] 0.5271930
## [4532,] 1.1819011
## [4533,] 0.6563469
## [4534,] 0.5208617
## [4535,] 0.8996710
## [4536,] 0.6955743
## [4537,] 1.0790433
## [4538,] 0.6223809
## [4539,] 0.9994902
## [4540,] 4.3063704
## [4541,] 2.3613179
## [4542,] 0.6128353
## [4543,] 1.1967452
## [4544,] 0.4693177
## [4545,] 0.5409706
## [4546,] 0.4309851
## [4547,] 1.5203260
## [4548,] 0.7121629
## [4549,] 0.7487385
## [4550,] 0.7499098
## [4551,] 4.9896567
## [4552,] 0.7413179
## [4553,] 0.9585177
## [4554,] 0.6363990
## [4555,] 0.8480474
## [4556,] 1.0746756
## [4557,] 1.7192356
## [4558,] 0.4579226
## [4559,] 0.7406418
## [4560,] 0.3743241
## [4561,] 0.6868153
## [4562,] 1.2907857
## [4563,] 1.0618344
## [4564,] 0.8768009
## [4565,] 1.0041965
## [4566,] 0.5295089
## [4567,] 0.5557685
## [4568,] 0.6977360
## [4569,] 1.1682321
## [4570,] 0.5046971
## [4571,] 0.6039841
## [4572,] 0.6443204
## [4573,] 0.7836188
## [4574,] 2.8207508
## [4575,] 0.3500413
## [4576,] 0.7423373
## [4577,] 3.1603205
## [4578,] 0.9833916
## [4579,] 1.3187730
## [4580,] 1.4141208
## [4581,] 0.4448479
## [4582,] 0.9828286
## [4583,] 1.6021467
## [4584,] 1.3249104
## [4585,] 1.4973473
## [4586,] 0.7364221
## [4587,] 0.5350774
## [4588,] 0.6396329
## [4589,] 1.1679203
## [4590,] 1.4822444
## [4591,] 0.6096304
## [4592,] 0.5571126
## [4593,] 0.6020646
## [4594,] 2.6679008
## [4595,] 1.0661949
## [4596,] 0.4974559
## [4597,] 0.6126702
## [4598,] 1.7057518
## [4599,] 0.7848303
## [4600,] 0.6459852
## [4601,] 0.6721998
## [4602,] 0.7565215
## [4603,] 0.4593726
## [4604,] 0.9614362
## [4605,] 0.5768519
## [4606,] 0.7852426
## [4607,] 0.6537858
## [4608,] 0.8380725
## [4609,] 0.9052335
## [4610,] 0.6521822
## [4611,] 0.5929309
## [4612,] 0.6794638
## [4613,] 0.6897743
## [4614,] 1.0370570
## [4615,] 0.9053430
## [4616,] 1.6910989
## [4617,] 0.8184575
## [4618,] 2.2645903
## [4619,] 1.2557546
## [4620,] 1.1896021
## [4621,] 1.3438719
## [4622,] 1.8402688
## [4623,] 1.9164284
## [4624,] 1.4848106
## [4625,] 1.0939899
## [4626,] 0.9357481
## [4627,] 1.2899032
## [4628,] 0.6184565
## [4629,] 1.2544277
## [4630,] 0.5885985
## [4631,] 0.6083939
## [4632,] 1.2742234
## [4633,] 0.3273863
## [4634,] 1.3777957
## [4635,] 1.6378882
## [4636,] 0.4139752
## [4637,] 0.2264385
## [4638,] 0.4135474
## [4639,] 0.3767370
## [4640,] 1.2252647
## [4641,] 0.7373975
## [4642,] 0.8212503
## [4643,] 0.3960125
## [4644,] 1.1572579
## [4645,] 0.9038693
## [4646,] 1.7123541
## [4647,] 0.3133638
## [4648,] 0.7231083
## [4649,] 0.5263484
## [4650,] 1.8397812
## [4651,] 0.3769325
## [4652,] 0.4202714
## [4653,] 0.4752616
## [4654,] 0.6207458
## [4655,] 0.7653749
## [4656,] 2.1515761
## [4657,] 1.7370905
## [4658,] 1.3822193
## [4659,] 0.3847739
## [4660,] 0.7069671
## [4661,] 1.4690632
## [4662,] 0.9456826
## [4663,] 1.0922504
## [4664,] 2.5750898
## [4665,] 0.7993498
## [4666,] 0.6654612
## [4667,] 1.3034645
## [4668,] 1.0719891
## [4669,] 0.4356795
## [4670,] 0.4524429
## [4671,] 0.5832125
## [4672,] 0.5939570
## [4673,] 0.7532903
## [4674,] 2.4339309
## [4675,] 0.7007647
## [4676,] 0.7055356
## [4677,] 0.6272304
## [4678,] 0.4468831
## [4679,] 0.8748470
## [4680,] 0.3423681
## [4681,] 1.6523984
## [4682,] 0.9616625
## [4683,] 0.3738111
## [4684,] 2.8152890
## [4685,] 0.6730593
## [4686,] 0.5976261
## [4687,] 1.1720031
## [4688,] 0.9007032
## [4689,] 0.6876041
## [4690,] 0.8757719
## [4691,] 0.6294561
## [4692,] 0.6882419
## [4693,] 2.0376459
## [4694,] 0.7922827
## [4695,] 1.0574970
## [4696,] 1.0862094
## [4697,] 1.0133287
## [4698,] 1.0915716
## [4699,] 0.8238525
## [4700,] 2.6340012
## [4701,] 1.1958708
## [4702,] 0.5238374
## [4703,] 0.6871965
## [4704,] 0.5331775
## [4705,] 0.6435047
## [4706,] 0.3825252
## [4707,] 0.8581646
## [4708,] 1.3384684
## [4709,] 0.5528089
## [4710,] 0.5798211
## [4711,] 1.3702860
## [4712,] 0.6465220
## [4713,] 1.2308828
## [4714,] 0.7581594
## [4715,] 0.4432434
## [4716,] 0.4531776
## [4717,] 0.6216561
## [4718,] 2.0197738
## [4719,] 1.0408864
## [4720,] 0.5460936
## [4721,] 0.6830213
## [4722,] 0.7923183
## [4723,] 0.9421940
## [4724,] 1.3044302
## [4725,] 0.2175863
## [4726,] 1.9621947
## [4727,] 0.5181572
## [4728,] 1.2225691
## [4729,] 0.4201717
## [4730,] 1.1073127
## [4731,] 0.2711516
## [4732,] 1.2206377
## [4733,] 2.7903004
## [4734,] 1.1437638
## [4735,] 1.8818644
## [4736,] 1.3465767
## [4737,] 0.4851741
## [4738,] 1.5616386
## [4739,] 0.8281392
## [4740,] 0.4403324
## [4741,] 0.7173078
## [4742,] 0.6249806
## [4743,] 0.5858282
## [4744,] 0.4047461
## [4745,] 0.8711609
## [4746,] 0.5372553
## [4747,] 0.7026029
## [4748,] 1.6484049
## [4749,] 1.0398746
## [4750,] 0.8226004
## [4751,] 4.1436540
## [4752,] 1.6684128
## [4753,] 0.7104053
## [4754,] 0.5105036
## [4755,] 0.3770432
## [4756,] 0.8380390
## [4757,] 0.9680358
## [4758,] 1.4348235
## [4759,] 0.9106719
## [4760,] 0.9473080
## [4761,] 1.4654573
## [4762,] 0.5574771
## [4763,] 1.3974356
## [4764,] 0.4704091
## [4765,] 0.6478769
## [4766,] 1.7886869
## [4767,] 0.6088268
## [4768,] 0.3710662
## [4769,] 1.4602038
## [4770,] 0.4234509
## [4771,] 0.3696421
## [4772,] 3.0045552
## [4773,] 0.3746650
## [4774,] 0.5001486
## [4775,] 0.6019074
## [4776,] 0.2745474
## [4777,] 0.7996437
## [4778,] 2.2576014
## [4779,] 1.3589195
## [4780,] 0.8304040
## [4781,] 0.2632785
## [4782,] 0.5431380
## [4783,] 0.4494883
## [4784,] 0.8289640
## [4785,] 0.7101882
## [4786,] 0.5979703
## [4787,] 0.3362385
## [4788,] 0.6953740
## [4789,] 0.6887562
## [4790,] 1.8016123
## [4791,] 0.6549938
## [4792,] 0.6364991
## [4793,] 2.7389062
## [4794,] 0.4791803
## [4795,] 1.1276422
## [4796,] 0.9489921
## [4797,] 0.3803365
## [4798,] 0.6697295
## [4799,] 1.1888402
## [4800,] 1.1691141
## [4801,] 1.4386480
## [4802,] 0.6687148
## [4803,] 0.9305591
## [4804,] 0.3957597
## [4805,] 0.4923881
## [4806,] 0.9093019
## [4807,] 0.6464281
## [4808,] 1.2192211
## [4809,] 0.5845191
## [4810,] 0.7473761
## [4811,] 1.4299198
## [4812,] 3.0483565
## [4813,] 0.5020988
## [4814,] 0.7601198
## [4815,] 1.2058335
## [4816,] 1.4989669
## [4817,] 0.7684610
## [4818,] 0.7770455
## [4819,] 0.5765499
## [4820,] 0.6812149
## [4821,] 0.9584787
## [4822,] 1.6708198
## [4823,] 0.8873745
## [4824,] 1.5288533
## [4825,] 1.7437714
## [4826,] 0.6027068
## [4827,] 1.3382316
## [4828,] 0.4405993
## [4829,] 0.3331137
## [4830,] 1.9820735
## [4831,] 0.5185795
## [4832,] 0.6449782
## [4833,] 0.3928872
## [4834,] 0.8446005
## [4835,] 3.8086490
## [4836,] 1.0760613
## [4837,] 1.5697291
## [4838,] 0.2429898
## [4839,] 0.8808970
## [4840,] 0.9225436
## [4841,] 0.7161259
## [4842,] 0.4578350
## [4843,] 0.9932187
## [4844,] 0.7039755
## [4845,] 0.7788985
## [4846,] 0.5363792
## [4847,] 1.5408585
## [4848,] 1.1088979
## [4849,] 2.4654924
## [4850,] 0.8630481
## [4851,] 1.0345935
## [4852,] 1.7552059
## [4853,] 0.9000680
## [4854,] 0.3921996
## [4855,] 0.4570772
## [4856,] 0.7518511
## [4857,] 1.2485590
## [4858,] 0.4189145
## [4859,] 1.5294388
## [4860,] 0.4180379
## [4861,] 0.4225001
## [4862,] 2.8350776
## [4863,] 0.6008748
## [4864,] 0.3414612
## [4865,] 1.4125935
## [4866,] 0.4014023
## [4867,] 1.2896438
## [4868,] 0.6032439
## [4869,] 1.2678795
## [4870,] 0.9249184
## [4871,] 0.5011495
## [4872,] 1.0090106
## [4873,] 2.3398666
## [4874,] 0.3149566
## [4875,] 0.6698322
## [4876,] 0.7302704
## [4877,] 0.7157929
## [4878,] 0.5135882
## [4879,] 1.7669254
## [4880,] 0.8030115
## [4881,] 2.8772690
## [4882,] 1.7797035
## [4883,] 0.7715516
## [4884,] 0.3974538
## [4885,] 1.1263586
## [4886,] 1.3934757
## [4887,] 0.6465623
## [4888,] 0.6479731
## [4889,] 0.9061560
## [4890,] 0.7601198
## [4891,] 0.9899472
## [4892,] 1.4698717
## [4893,] 1.3841868
## [4894,] 0.7395092
## [4895,] 1.1755156
## [4896,] 0.9455553
## [4897,] 0.4592252
## [4898,] 0.7460946
## [4899,] 0.4563895
## [4900,] 1.5516347
## [4901,] 0.4632606
## [4902,] 0.4674473
## [4903,] 0.4241228
## [4904,] 0.9715630
## [4905,] 3.1142479
## [4906,] 0.7859802
## [4907,] 0.4868541
## [4908,] 2.6736509
## [4909,] 1.0305854
## [4910,] 0.9501104
## [4911,] 2.2007854
## [4912,] 0.5359905
## [4913,] 1.1963958
## [4914,] 0.5869069
## [4915,] 2.1677733
## [4916,] 1.2668676
## [4917,] 0.6557714
## [4918,] 1.0576666
## [4919,] 0.6096357
## [4920,] 1.5689429
## [4921,] 0.7575999
## [4922,] 0.6334198
## [4923,] 0.8721659
## [4924,] 0.2885292
## [4925,] 0.5558296
## [4926,] 0.6459852
## [4927,] 0.7607125
## [4928,] 0.5818377
## [4929,] 1.7570377
## [4930,] 0.4342636
## [4931,] 1.3945271
## [4932,] 0.4473385
## [4933,] 1.0635464
## [4934,] 0.4533309
## [4935,] 1.8682744
## [4936,] 0.8902169
## [4937,] 1.1816797
## [4938,] 2.8135678
## [4939,] 0.7093821
## [4940,] 0.7492665
## [4941,] 0.3772890
## [4942,] 0.7615791
## [4943,] 0.7747594
## [4944,] 0.5716991
## [4945,] 0.6201930
## [4946,] 0.5742718
## [4947,] 0.7695729
## [4948,] 0.5453651
## [4949,] 0.3782160
## [4950,] 0.4952848
## [4951,] 0.9915367
## [4952,] 1.0763265
## [4953,] 1.6109742
## [4954,] 0.6745806
## [4955,] 0.6416099
## [4956,] 1.4925420
## [4957,] 0.5835684
## [4958,] 0.8274163
## [4959,] 1.0763702
## [4960,] 0.6724223
## [4961,] 0.7389677
## [4962,] 0.7758606
## [4963,] 1.0809263
## [4964,] 1.1554321
## [4965,] 0.7184618
## [4966,] 1.7879883
## [4967,] 1.7570377
## [4968,] 3.5950414
## [4969,] 0.5126998
## [4970,] 0.7617819
## [4971,] 0.3745291
## [4972,] 0.8746385
## [4973,] 1.0084544
## [4974,] 0.6664134
## [4975,] 0.8770556
## [4976,] 0.4771861
## [4977,] 2.5343868
## [4978,] 1.3301346
## [4979,] 0.4945785
## [4980,] 0.7717877
## [4981,] 0.7521033
## [4982,] 0.8263901
## [4983,] 2.0935653
## [4984,] 0.5462579
## [4985,] 0.8832637
## [4986,] 0.9247567
## [4987,] 0.6143871
## [4988,] 1.3826340
## [4989,] 0.6282657
## [4990,] 0.8224080
## [4991,] 1.4142085
## [4992,] 0.6859849
## [4993,] 3.4592274
## [4994,] 0.3573011
## [4995,] 0.7014560
## [4996,] 0.4625921
## [4997,] 0.8168689
## [4998,] 0.6422304
## [4999,] 1.0470094
## [5000,] 1.0396363
## [5001,] 0.4506384
## [5002,] 2.7246897
## [5003,] 0.7781926
## [5004,] 0.9596217
## [5005,] 0.3664278
## [5006,] 1.3190194
## [5007,] 0.6681911
## [5008,] 0.6046320
## [5009,] 0.7407013
## [5010,] 1.5271694
## [5011,] 1.5264786
## [5012,] 1.1833947
## [5013,] 1.5867237
## [5014,] 3.4253056
## [5015,] 1.7803296
## [5016,] 1.6687912
## [5017,] 2.7872022
## [5018,] 1.3265936
## [5019,] 1.2456264
## [5020,] 0.9316222
## [5021,] 0.3713634
## [5022,] 1.4567738
## [5023,] 1.9554742
## [5024,] 2.8343265
## [5025,] 2.2078427
## [5026,] 1.4177144
## [5027,] 0.6436788
## [5028,] 0.8117983
## [5029,] 1.3902507
## [5030,] 0.7460491
## [5031,] 0.7427406
## [5032,] 0.7084345
## [5033,] 1.1207717
## [5034,] 0.3204722
## [5035,] 0.9002633
## [5036,] 0.5989563
## [5037,] 0.5573633
## [5038,] 0.7953567
## [5039,] 1.9855155
## [5040,] 1.3583728
## [5041,] 0.4723912
## [5042,] 0.6038413
## [5043,] 0.4818700
## [5044,] 0.5205632
## [5045,] 1.0038567
## [5046,] 0.5009709
## [5047,] 0.6704102
## [5048,] 1.9382527
## [5049,] 1.7436311
## [5050,] 1.9847208
## [5051,] 1.0263149
## [5052,] 0.7068517
## [5053,] 0.7396158
## [5054,] 0.8746886
## [5055,] 0.6582059
## [5056,] 1.7866755
## [5057,] 0.4528541
## [5058,] 3.8221224
## [5059,] 0.5777260
## [5060,] 0.3118454
## [5061,] 0.5549286
## [5062,] 1.5577949
## [5063,] 1.9997719
## [5064,] 6.2766817
## [5065,] 0.8930652
## [5066,] 0.7224618
## [5067,] 2.9808425
## [5068,] 0.5965336
## [5069,] 0.3745321
## [5070,] 0.5663483
## [5071,] 1.8409232
## [5072,] 1.0707531
## [5073,] 0.7163636
## [5074,] 0.5204285
## [5075,] 0.7312483
## [5076,] 2.2012378
## [5077,] 0.5664081
## [5078,] 0.4622332
## [5079,] 1.1167198
## [5080,] 0.7776283
## [5081,] 0.4075462
## [5082,] 0.7381268
## [5083,] 0.9357438
## [5084,] 2.8441157
## [5085,] 1.4641712
## [5086,] 0.4206927
## [5087,] 1.1748946
## [5088,] 1.0475639
## [5089,] 0.8377842
## [5090,] 2.9456740
## [5091,] 0.9008928
## [5092,] 1.3880739
## [5093,] 2.1467088
## [5094,] 0.4106934
## [5095,] 1.6646478
## [5096,] 1.3880739
## [5097,] 0.7117776
## [5098,] 0.5449923
## [5099,] 0.5784080
## [5100,] 1.0498305
## [5101,] 0.5326101
## [5102,] 0.7478938
## [5103,] 1.0367604
## [5104,] 0.5413578
## [5105,] 2.0910460
## [5106,] 1.4009411
## [5107,] 0.4485117
## [5108,] 0.4465044
## [5109,] 0.4913103
## [5110,] 1.0942200
## [5111,] 2.2025171
## [5112,] 0.6413557
## [5113,] 0.6500750
## [5114,] 0.8844698
## [5115,] 1.0743567
## [5116,] 0.4140172
## [5117,] 0.2336255
## [5118,] 0.4953240
## [5119,] 1.5319006
## [5120,] 0.5420574
## [5121,] 1.6797111
## [5122,] 0.5557201
## [5123,] 1.4129723
## [5124,] 0.3640557
## [5125,] 0.5633276
## [5126,] 0.4864944
## [5127,] 0.5075808
## [5128,] 1.3484496
## [5129,] 1.2517416
## [5130,] 1.4287047
## [5131,] 1.1739160
## [5132,] 0.8319183
## [5133,] 4.9570883
## [5134,] 1.3519103
## [5135,] 0.5952578
## [5136,] 0.6287103
## [5137,] 0.9095700
## [5138,] 0.5085842
## [5139,] 2.1535975
## [5140,] 1.4308112
## [5141,] 2.2123319
## [5142,] 0.7070824
## [5143,] 0.3563872
## [5144,] 0.6712230
## [5145,] 1.2351848
## [5146,] 1.5292747
## [5147,] 0.7530694
## [5148,] 0.7796569
## [5149,] 0.7295043
## [5150,] 1.1274128
## [5151,] 0.4289163
## [5152,] 0.9636204
## [5153,] 1.1307608
## [5154,] 0.6245391
## [5155,] 2.0384422
## [5156,] 0.5823402
## [5157,] 0.6300758
## [5158,] 0.7744265
## [5159,] 0.3770896
## [5160,] 1.2925529
## [5161,] 0.5106056
## [5162,] 0.7574288
## [5163,] 0.6468381
## [5164,] 0.7419286
## [5165,] 0.4629658
## [5166,] 0.4198378
## [5167,] 2.6322081
## [5168,] 0.7202343
## [5169,] 0.4674473
## [5170,] 0.3957597
## [5171,] 0.7714703
## [5172,] 0.8346068
## [5173,] 0.7179162
## [5174,] 1.6947931
## [5175,] 0.7567391
## [5176,] 2.2552758
## [5177,] 0.5187510
## [5178,] 0.7146898
## [5179,] 0.7804897
## [5180,] 0.6494663
## [5181,] 1.3145779
## [5182,] 0.6939206
## [5183,] 1.0300007
## [5184,] 2.8893450
## [5185,] 0.5134699
## [5186,] 0.7216317
## [5187,] 0.8734548
## [5188,] 0.7569439
## [5189,] 1.8366110
## [5190,] 1.5112038
## [5191,] 1.9063790
## [5192,] 0.3154785
## [5193,] 2.3569605
## [5194,] 0.8945429
## [5195,] 1.2367274
## [5196,] 1.0925879
## [5197,] 0.6949120
## [5198,] 0.7281438
## [5199,] 0.4513629
## [5200,] 0.8916117
## [5201,] 1.0622245
## [5202,] 1.1596892
## [5203,] 0.5115141
## [5204,] 0.5112318
## [5205,] 1.0475477
## [5206,] 0.6647075
## [5207,] 0.5874346
## [5208,] 0.4708364
## [5209,] 0.5259461
## [5210,] 0.9668076
## [5211,] 1.2540803
## [5212,] 0.4237921
## [5213,] 0.3364420
## [5214,] 2.0730209
## [5215,] 0.7088688
## [5216,] 0.4644559
## [5217,] 1.2204839
## [5218,] 0.6655492
## [5219,] 0.8486945
## [5220,] 0.5228549
## [5221,] 1.7919515
## [5222,] 1.2732341
## [5223,] 1.2123922
## [5224,] 0.8076204
## [5225,] 1.8079169
## [5226,] 0.5165093
## [5227,] 0.5126096
## [5228,] 2.3470184
## [5229,] 0.7862056
## [5230,] 0.5853092
## [5231,] 1.8125184
## [5232,] 1.4848580
## [5233,] 0.5651004
## [5234,] 0.6204291
## [5235,] 0.5784808
## [5236,] 1.3739287
## [5237,] 1.3794335
## [5238,] 0.7935333
## [5239,] 0.9016667
## [5240,] 1.0034923
## [5241,] 1.7388613
## [5242,] 0.7831841
## [5243,] 0.8672328
## [5244,] 1.6300807
## [5245,] 1.0486151
## [5246,] 1.3419897
## [5247,] 1.5230393
## [5248,] 0.9119801
## [5249,] 0.5564361
## [5250,] 0.5463515
## [5251,] 0.6491309
## [5252,] 0.6889939
## [5253,] 1.2411232
## [5254,] 0.9390779
## [5255,] 0.8493770
## [5256,] 0.5311475
## [5257,] 0.7485361
## [5258,] 0.8528953
## [5259,] 0.8973160
## [5260,] 0.5532475
## [5261,] 0.8147931
## [5262,] 0.8907173
## [5263,] 0.7777155
## [5264,] 1.4887855
## [5265,] 0.5643613
## [5266,] 0.5685713
## [5267,] 0.7519332
## [5268,] 0.4379047
## [5269,] 1.1935426
## [5270,] 0.4446754
## [5271,] 0.7261864
## [5272,] 0.9622565
## [5273,] 1.7897004
## [5274,] 0.5308929
## [5275,] 1.0569438
## [5276,] 1.1179162
## [5277,] 0.9203501
## [5278,] 0.9846713
## [5279,] 0.4423362
## [5280,] 0.9558438
## [5281,] 0.7247038
## [5282,] 1.5164134
## [5283,] 0.8387589
## [5284,] 0.8179575
## [5285,] 1.2012493
## [5286,] 2.1528733
## [5287,] 4.3416759
## [5288,] 0.8524130
## [5289,] 0.3131956
## [5290,] 1.4971697
## [5291,] 1.3363162
## [5292,] 0.3284214
## [5293,] 0.7407760
## [5294,] 1.0275489
## [5295,] 1.9040435
## [5296,] 1.4947536
## [5297,] 1.8776812
## [5298,] 0.8238071
## [5299,] 0.9589887
## [5300,] 1.0346261
## [5301,] 1.2553363
## [5302,] 0.3491851
## [5303,] 0.8602481
## [5304,] 0.6687110
## [5305,] 2.7750808
## [5306,] 0.3789065
## [5307,] 0.3791129
## [5308,] 0.7075780
## [5309,] 0.4820252
## [5310,] 0.5829352
## [5311,] 1.1680284
## [5312,] 1.7521735
## [5313,] 0.9491289
## [5314,] 0.8919610
## [5315,] 0.2589394
## [5316,] 0.8441073
## [5317,] 0.4893554
## [5318,] 0.8980965
## [5319,] 2.1132030
## [5320,] 1.4351723
## [5321,] 1.1473034
## [5322,] 2.5871563
## [5323,] 0.8054228
## [5324,] 0.9053430
## [5325,] 0.2780830
## [5326,] 0.4526089
## [5327,] 0.6150048
## [5328,] 0.7673295
## [5329,] 0.8501698
## [5330,] 0.9443342
## [5331,] 0.4146685
## [5332,] 0.8252637
## [5333,] 1.3267437
## [5334,] 0.5289217
## [5335,] 1.2367795
## [5336,] 1.2276015
## [5337,] 0.3418775
## [5338,] 0.5172142
## [5339,] 1.1504007
## [5340,] 1.1947472
## [5341,] 1.2139300
## [5342,] 1.0650378
## [5343,] 0.9970880
## [5344,] 1.0362919
## [5345,] 0.6238905
## [5346,] 0.5544339
## [5347,] 0.6823081
## [5348,] 1.6612847
## [5349,] 1.5535037
## [5350,] 0.5606116
## [5351,] 1.7561297
## [5352,] 0.6810218
## [5353,] 0.8081179
## [5354,] 0.7506562
## [5355,] 1.0160339
## [5356,] 0.6111613
## [5357,] 0.7484337
## [5358,] 0.8038977
## [5359,] 0.7609848
## [5360,] 2.6947427
## [5361,] 1.0211278
## [5362,] 0.9291586
## [5363,] 0.8388224
## [5364,] 1.9853748
## [5365,] 0.4863570
## [5366,] 0.3214074
## [5367,] 0.9054730
## [5368,] 1.2918001
## [5369,] 0.9609242
## [5370,] 0.3861019
## [5371,] 0.3266122
## [5372,] 1.0203276
## [5373,] 1.1775170
## [5374,] 0.6016350
## [5375,] 0.2969858
## [5376,] 0.5021270
## [5377,] 0.5679386
## [5378,] 0.7738069
## [5379,] 1.1011998
## [5380,] 0.3980600
## [5381,] 0.7372735
## [5382,] 2.2459928
## [5383,] 0.3155514
## [5384,] 0.6028192
## [5385,] 2.7581559
## [5386,] 0.9854670
## [5387,] 0.8569869
## [5388,] 0.6206854
## [5389,] 4.6309993
## [5390,] 0.7687420
## [5391,] 1.2797639
## [5392,] 0.3577171
## [5393,] 0.4465264
## [5394,] 0.9081464
## [5395,] 0.3706849
## [5396,] 1.0193675
## [5397,] 0.3326288
## [5398,] 0.5415857
## [5399,] 0.5777728
## [5400,] 0.5338477
## [5401,] 0.7290755
## [5402,] 2.4361846
## [5403,] 0.6279030
## [5404,] 0.7647310
## [5405,] 1.2818809
## [5406,] 2.1471956
## [5407,] 1.0682427
## [5408,] 0.4769424
## [5409,] 2.5803899
## [5410,] 0.5642968
## [5411,] 2.2903475
## [5412,] 0.7924547
## [5413,] 1.4777974
## [5414,] 1.2206377
## [5415,] 0.3438377
## [5416,] 0.6172990
## [5417,] 1.0588057
## [5418,] 0.4658053
## [5419,] 1.1886139
## [5420,] 1.6513514
## [5421,] 2.0729805
## [5422,] 0.3956362
## [5423,] 0.6170769
## [5424,] 0.7787411
## [5425,] 0.6394563
## [5426,] 0.8676933
## [5427,] 0.6188032
## [5428,] 0.6320829
## [5429,] 3.1419526
## [5430,] 0.4286529
## [5431,] 0.3260149
## [5432,] 2.6006644
## [5433,] 0.6002532
## [5434,] 0.5778640
## [5435,] 0.8175159
## [5436,] 1.2161233
## [5437,] 0.7290997
## [5438,] 0.5985798
## [5439,] 2.4511186
## [5440,] 0.7452585
## [5441,] 1.7814131
## [5442,] 0.3872548
## [5443,] 0.7619016
## [5444,] 0.6289546
## [5445,] 0.8638454
## [5446,] 0.7043130
## [5447,] 0.9743908
## [5448,] 0.7051334
## [5449,] 0.4881179
## [5450,] 0.5892445
## [5451,] 0.5454032
## [5452,] 1.6562522
## [5453,] 0.6118920
## [5454,] 1.1539120
## [5455,] 0.9918693
## [5456,] 0.4541549
## [5457,] 0.7968031
## [5458,] 1.0915807
## [5459,] 1.8097628
## [5460,] 0.6395590
## [5461,] 0.9147508
## [5462,] 1.4213454
## [5463,] 1.0273117
## [5464,] 0.9733996
## [5465,] 1.2210802
## [5466,] 1.8419619
## [5467,] 0.5250860
## [5468,] 0.7290380
## [5469,] 0.2674899
## [5470,] 0.7141925
## [5471,] 1.8296155
## [5472,] 0.6572398
## [5473,] 1.6064558
## [5474,] 1.0336576
## [5475,] 0.9165660
## [5476,] 0.9561857
## [5477,] 0.6514461
## [5478,] 3.3420150
## [5479,] 1.1680479
## [5480,] 1.5555890
## [5481,] 0.6540327
## [5482,] 0.8241383
## [5483,] 0.7270819
## [5484,] 0.7052703
## [5485,] 0.7483781
## [5486,] 0.5375533
## [5487,] 0.4330834
## [5488,] 0.5669114
## [5489,] 0.6584576
## [5490,] 1.0216090
## [5491,] 1.3466708
## [5492,] 0.3609386
## [5493,] 0.5087261
## [5494,] 1.0003979
## [5495,] 0.9879666
## [5496,] 1.5022246
## [5497,] 0.5584603
## [5498,] 0.3730653
## [5499,] 1.2649997
## [5500,] 0.7110219
## [5501,] 0.8069444
## [5502,] 1.1440148
## [5503,] 0.6108727
## [5504,] 0.7358037
## [5505,] 0.6383244
## [5506,] 1.6164869
## [5507,] 0.5943541
## [5508,] 0.5877709
## [5509,] 2.0349329
## [5510,] 0.7103508
## [5511,] 0.6272117
## [5512,] 0.5611863
## [5513,] 0.6186548
## [5514,] 0.4699197
## [5515,] 0.5276981
## [5516,] 0.4191654
## [5517,] 0.4666974
## [5518,] 0.6165534
## [5519,] 0.7928396
## [5520,] 0.5416373
## [5521,] 0.8005770
## [5522,] 0.3909656
## [5523,] 0.8520714
## [5524,] 0.8143151
## [5525,] 0.4259582
## [5526,] 0.9321883
## [5527,] 0.5186641
## [5528,] 2.2069518
## [5529,] 0.4473586
## [5530,] 0.3583450
## [5531,] 1.7415702
## [5532,] 0.5499930
## [5533,] 0.5267705
## [5534,] 0.7295875
## [5535,] 0.9410336
## [5536,] 0.3920325
## [5537,] 1.1096692
## [5538,] 0.5107115
## [5539,] 1.3285921
## [5540,] 1.5686008
## [5541,] 2.1194990
## [5542,] 0.6702508
## [5543,] 0.3241905
## [5544,] 1.3353242
## [5545,] 0.6398228
## [5546,] 0.5912924
## [5547,] 0.5879799
## [5548,] 1.7059816
## [5549,] 0.6036943
## [5550,] 0.8551332
## [5551,] 0.7628847
## [5552,] 0.3958012
## [5553,] 1.1286548
## [5554,] 1.0776965
## [5555,] 0.2563742
## [5556,] 0.5461479
## [5557,] 0.8861136
## [5558,] 0.4783794
## [5559,] 0.8408934
## [5560,] 0.6927997
## [5561,] 5.2511110
## [5562,] 1.3003176
## [5563,] 0.5407965
## [5564,] 0.4671969
## [5565,] 0.5213887
## [5566,] 0.9385772
## [5567,] 2.4337162
## [5568,] 0.4154131
## [5569,] 1.0806284
## [5570,] 0.8696158
## [5571,] 0.8619887
## [5572,] 1.7061079
## [5573,] 0.4878509
## [5574,] 1.4158680
## [5575,] 0.5947346
## [5576,] 0.4142038
## [5577,] 0.3416051
## [5578,] 0.7598418
## [5579,] 0.5656373
## [5580,] 0.6015619
## [5581,] 0.5765724
## [5582,] 1.2768111
## [5583,] 1.8274190
## [5584,] 0.9869112
## [5585,] 1.1287357
## [5586,] 1.1598617
## [5587,] 0.5287304
## [5588,] 1.2673392
## [5589,] 0.7552736
## [5590,] 0.4923507
## [5591,] 0.6227169
## [5592,] 3.2918799
## [5593,] 0.5044968
## [5594,] 0.5175497
## [5595,] 0.8562982
## [5596,] 0.5099596
## [5597,] 1.4921391
## [5598,] 0.7970318
## [5599,] 0.4147266
## [5600,] 0.5263134
## [5601,] 4.0024145
## [5602,] 2.3331464
## [5603,] 0.6193795
## [5604,] 1.1567945
## [5605,] 0.9212915
## [5606,] 1.1337389
## [5607,] 3.6488529
## [5608,] 1.8303723
## [5609,] 0.6478639
## [5610,] 1.3116643
## [5611,] 0.5154482
## [5612,] 0.7785119
## [5613,] 0.5766512
## [5614,] 0.6640915
## [5615,] 0.5674443
## [5616,] 1.6267334
## [5617,] 1.1313812
## [5618,] 0.6882767
## [5619,] 0.6356054
## [5620,] 0.6953781
## [5621,] 3.1650063
## [5622,] 0.8915855
## [5623,] 1.4819749
## [5624,] 0.8436869
## [5625,] 0.3964257
## [5626,] 0.5074745
## [5627,] 0.7982433
## [5628,] 0.5791100
## [5629,] 1.1321073
## [5630,] 2.1682098
## [5631,] 0.5720226
## [5632,] 0.7177265
## [5633,] 1.9376360
## [5634,] 0.4198360
## [5635,] 0.4905221
## [5636,] 1.0464832
## [5637,] 0.8254862
## [5638,] 1.0257414
## [5639,] 0.3955098
## [5640,] 0.8334002
## [5641,] 0.7529675
## [5642,] 0.8019644
## [5643,] 0.8082643
## [5644,] 0.5796262
## [5645,] 0.8844387
## [5646,] 1.2329514
## [5647,] 0.5296667
## [5648,] 2.5564032
## [5649,] 1.1583907
## [5650,] 1.0432452
## [5651,] 0.5535111
## [5652,] 0.6095254
## [5653,] 2.8421745
## [5654,] 0.5881176
## [5655,] 1.5992300
## [5656,] 0.4006248
## [5657,] 1.7834682
## [5658,] 0.4765084
## [5659,] 0.8467068
## [5660,] 1.1339626
## [5661,] 0.6470763
## [5662,] 0.3386290
## [5663,] 0.5698583
## [5664,] 2.9391213
## [5665,] 0.9931699
## [5666,] 1.8274190
## [5667,] 0.6097081
## [5668,] 1.1958646
## [5669,] 0.5409103
## [5670,] 0.5948848
## [5671,] 0.6168884
## [5672,] 0.7669814
## [5673,] 2.2944727
## [5674,] 0.3287104
## [5675,] 0.6477596
## [5676,] 0.7632995
## [5677,] 1.1724041
## [5678,] 0.9385658
## [5679,] 0.4516203
## [5680,] 3.3527261
## [5681,] 1.4464985
## [5682,] 2.2467002
## [5683,] 0.5791409
## [5684,] 1.7807097
## [5685,] 0.5033373
## [5686,] 0.9445460
## [5687,] 0.7846496
## [5688,] 1.2691002
## [5689,] 0.7014610
## [5690,] 1.1412216
## [5691,] 0.3495046
## [5692,] 0.8052693
## [5693,] 1.4010991
## [5694,] 0.6846320
## [5695,] 2.6993172
## [5696,] 1.1196813
## [5697,] 1.0257874
## [5698,] 3.1336252
## [5699,] 2.7675337
## [5700,] 2.6619914
## [5701,] 0.9374049
## [5702,] 0.9468373
## [5703,] 0.4773940
## [5704,] 0.6703845
## [5705,] 0.7788928
## [5706,] 0.4002054
## [5707,] 0.6159895
## [5708,] 0.3880727
## [5709,] 2.9794662
## [5710,] 0.7984934
## [5711,] 0.5679555
## [5712,] 0.7460586
## [5713,] 2.4366394
## [5714,] 0.3101891
## [5715,] 1.2071288
## [5716,] 0.5754666
## [5717,] 0.5558518
## [5718,] 1.3748630
## [5719,] 0.2370454
## [5720,] 0.8659617
## [5721,] 2.1554606
## [5722,] 0.6680775
## [5723,] 0.2832542
## [5724,] 0.5346962
## [5725,] 1.1230146
## [5726,] 0.8335425
## [5727,] 1.6062680
## [5728,] 1.8520543
## [5729,] 0.9094597
## [5730,] 0.9548546
## [5731,] 1.7382242
## [5732,] 2.8579589
## [5733,] 1.0877886
## [5734,] 0.8168585
## [5735,] 0.5436179
## [5736,] 0.5799570
## [5737,] 0.5738120
## [5738,] 2.4507015
## [5739,] 0.6021051
## [5740,] 0.6018810
## [5741,] 0.6001802
## [5742,] 1.3671477
## [5743,] 0.8389638
## [5744,] 1.0166122
## [5745,] 0.9041051
## [5746,] 1.0294172
## [5747,] 2.1251838
## [5748,] 0.7567860
## [5749,] 0.9112547
## [5750,] 0.9120867
## [5751,] 0.5623387
## [5752,] 1.7962346
## [5753,] 0.6121486
## [5754,] 1.5520190
## [5755,] 0.3133190
## [5756,] 0.6522517
## [5757,] 0.6343004
## [5758,] 0.5451185
## [5759,] 0.5169428
## [5760,] 0.4067122
## [5761,] 0.5571666
## [5762,] 1.3601024
## [5763,] 0.7104386
## [5764,] 1.4523817
## [5765,] 0.5311475
## [5766,] 0.8604004
## [5767,] 0.7784758
## [5768,] 4.1689853
## [5769,] 0.4359821
## [5770,] 0.8514020
## [5771,] 1.7291022
## [5772,] 0.9961512
## [5773,] 0.9615212
## [5774,] 0.5985102
## [5775,] 0.7528224
## [5776,] 0.6288045
## [5777,] 0.6803855
## [5778,] 0.8819554
## [5779,] 1.1056025
## [5780,] 0.4741673
## [5781,] 0.7004551
## [5782,] 2.1501709
## [5783,] 0.4664070
## [5784,] 1.6436216
## [5785,] 1.2818809
## [5786,] 4.1694126
## [5787,] 0.8942753
## [5788,] 7.6416299
## [5789,] 0.9036770
## [5790,] 0.7181348
## [5791,] 1.0496903
## [5792,] 1.8682262
## [5793,] 1.0847765
## [5794,] 1.9760104
## [5795,] 0.4671956
## [5796,] 0.9627495
## [5797,] 2.0378254
## [5798,] 1.3081282
## [5799,] 0.9692338
## [5800,] 0.4450566
## [5801,] 1.1093495
## [5802,] 1.1908984
## [5803,] 1.7960448
## [5804,] 0.5706049
## [5805,] 0.6822649
## [5806,] 0.9094749
## [5807,] 0.7768084
## [5808,] 0.8313060
## [5809,] 1.2593695
## [5810,] 0.5863929
## [5811,] 0.2990174
## [5812,] 2.1308130
## [5813,] 0.4003346
## [5814,] 1.3382316
## [5815,] 0.3377426
## [5816,] 0.2836924
## [5817,] 1.2969038
## [5818,] 1.0821186
## [5819,] 0.5127136
## [5820,] 0.7534219
## [5821,] 0.8704484
## [5822,] 0.5827392
## [5823,] 3.9791683
## [5824,] 1.4270500
## [5825,] 1.1334888
## [5826,] 0.4566090
## [5827,] 1.2274792
## [5828,] 0.8654463
## [5829,] 0.5310401
## [5830,] 1.7221077
## [5831,] 0.4848444
## [5832,] 0.6363092
## [5833,] 0.6059095
## [5834,] 0.5818107
## [5835,] 0.3866901
## [5836,] 0.6507989
## [5837,] 0.9391087
## [5838,] 2.0223793
## [5839,] 1.0079217
## [5840,] 0.6432598
## [5841,] 1.0571605
## [5842,] 1.9681657
## [5843,] 0.8013533
## [5844,] 0.5401852
## [5845,] 0.5282052
## [5846,] 3.3369954
## [5847,] 0.9393358
## [5848,] 0.9797001
## [5849,] 0.5881232
## [5850,] 2.1747186
## [5851,] 0.6891303
## [5852,] 0.6068794
## [5853,] 0.5571666
## [5854,] 1.7993766
## [5855,] 1.5138053
## [5856,] 0.8072556
## [5857,] 1.0833374
## [5858,] 0.3724148
## [5859,] 0.4968798
## [5860,] 4.5842414
## [5861,] 0.6537746
## [5862,] 1.4291163
## [5863,] 1.8686185
## [5864,] 2.1030098
## [5865,] 0.5723850
## [5866,] 1.4881722
## [5867,] 2.1500792
## [5868,] 1.8570613
## [5869,] 2.4640942
## [5870,] 0.4959063
## [5871,] 1.0824609
## [5872,] 1.0363073
## [5873,] 1.1321580
## [5874,] 0.4773553
## [5875,] 0.4860222
## [5876,] 0.6468260
## [5877,] 0.6665753
## [5878,] 0.7057913
## [5879,] 0.4077488
## [5880,] 0.5969245
## [5881,] 0.5758391
## [5882,] 1.3637699
## [5883,] 0.6177304
## [5884,] 0.5277783
## [5885,] 1.1062897
## [5886,] 1.4254402
## [5887,] 0.5102893
## [5888,] 0.5877560
## [5889,] 0.3559020
## [5890,] 1.0391076
## [5891,] 0.2810174
## [5892,] 0.9538070
## [5893,] 0.4145756
## [5894,] 3.5153014
## [5895,] 0.8301441
## [5896,] 0.7654368
## [5897,] 1.2768118
## [5898,] 0.6377273
## [5899,] 1.0352920
## [5900,] 1.2546945
## [5901,] 0.4664137
## [5902,] 1.1930771
## [5903,] 0.3920995
## [5904,] 0.6571934
## [5905,] 0.9422324
## [5906,] 0.7138878
## [5907,] 1.8468628
## [5908,] 0.5006898
## [5909,] 1.0207544
## [5910,] 0.5887762
## [5911,] 2.1218690
## [5912,] 0.5134861
## [5913,] 0.4570813
## [5914,] 0.2592970
## [5915,] 0.8070381
## [5916,] 0.4730473
## [5917,] 0.6028457
## [5918,] 0.6321740
## [5919,] 1.2233210
## [5920,] 1.8277066
## [5921,] 1.0407244
## [5922,] 0.6451118
## [5923,] 0.7546329
## [5924,] 0.5125941
## [5925,] 1.8994590
## [5926,] 0.5647261
## [5927,] 2.7084166
## [5928,] 0.4942613
## [5929,] 0.8416575
## [5930,] 0.6279195
## [5931,] 0.5262223
## [5932,] 0.8980965
## [5933,] 0.6696969
## [5934,] 0.5894228
## [5935,] 0.8690233
## [5936,] 2.6590212
## [5937,] 0.6008264
## [5938,] 0.7360250
## [5939,] 0.4617717
## [5940,] 0.4199235
## [5941,] 0.8579583
## [5942,] 0.9835107
## [5943,] 5.4522087
## [5944,] 0.9392996
## [5945,] 0.4588708
## [5946,] 0.6915848
## [5947,] 0.9330273
## [5948,] 0.6955743
## [5949,] 0.4427649
## [5950,] 0.6385200
## [5951,] 0.5796756
## [5952,] 0.8409432
## [5953,] 0.9494263
## [5954,] 1.1069584
## [5955,] 0.5325557
## [5956,] 0.3239631
## [5957,] 0.8222015
## [5958,] 1.3669546
## [5959,] 0.2138513
## [5960,] 0.6390251
## [5961,] 0.7084390
## [5962,] 2.6585525
## [5963,] 0.5139329
## [5964,] 3.5385328
## [5965,] 0.6418199
## [5966,] 0.9700347
## [5967,] 0.3764944
## [5968,] 0.7457426
## [5969,] 0.8449927
## [5970,] 0.7650057
## [5971,] 0.6270520
## [5972,] 1.9279328
## [5973,] 2.6564405
## [5974,] 0.5818750
## [5975,] 1.5198098
## [5976,] 0.4366952
## [5977,] 1.3439437
## [5978,] 2.9602079
## [5979,] 3.5293691
## [5980,] 0.9620524
## [5981,] 1.1436771
## [5982,] 0.5088666
## [5983,] 1.0504745
## [5984,] 1.1213734
## [5985,] 0.8141026
## [5986,] 9.2804153
## [5987,] 0.7601101
## [5988,] 0.4681559
## [5989,] 1.2080291
## [5990,] 0.7024875
## [5991,] 0.6418897
## [5992,] 1.6279935
## [5993,] 0.3454885
## [5994,] 0.6094423
## [5995,] 0.9276443
## [5996,] 0.7393032
## [5997,] 0.9085817
## [5998,] 0.7408446
## [5999,] 0.4696388
## [6000,] 0.5884937
## [6001,] 0.5195805
## [6002,] 0.5070608
## [6003,] 0.8495824
## [6004,] 1.5221895
## [6005,] 1.0003979
## [6006,] 1.0473452
## [6007,] 1.6249887
## [6008,] 0.7453395
## [6009,] 2.0118077
## [6010,] 1.0027753
## [6011,] 0.4797467
## [6012,] 1.4160612
## [6013,] 0.2958453
## [6014,] 0.7811771
## [6015,] 1.2713540
## [6016,] 0.6749316
## [6017,] 0.6491184
## [6018,] 1.6249887
## [6019,] 0.7875300
## [6020,] 0.4113815
## [6021,] 0.3946578
## [6022,] 1.8008630
## [6023,] 1.1117533
## [6024,] 0.4243655
## [6025,] 0.6856922
## [6026,] 0.3924783
## [6027,] 0.6519466
## [6028,] 1.5933716
## [6029,] 0.3645099
## [6030,] 0.5449923
## [6031,] 2.6756310
## [6032,] 0.3746557
## [6033,] 0.8361259
## [6034,] 1.1080296
## [6035,] 0.8925414
## [6036,] 1.9457199
## [6037,] 4.3990911
## [6038,] 0.5057039
## [6039,] 0.9085969
## [6040,] 0.6215476
## [6041,] 1.2699485
## [6042,] 0.7362401
## [6043,] 4.7626726
## [6044,] 3.2427151
## [6045,] 1.1387486
## [6046,] 0.4569552
## [6047,] 0.8978391
## [6048,] 1.4305356
## [6049,] 0.6388184
## [6050,] 0.5082374
## [6051,] 0.5195427
## [6052,] 0.8560779
## [6053,] 2.0142949
## [6054,] 2.1102367
## [6055,] 3.8569066
## [6056,] 2.3493422
## [6057,] 0.5329578
## [6058,] 1.4798838
## [6059,] 2.2257128
## [6060,] 0.6718032
## [6061,] 0.6702364
## [6062,] 0.6289773
## [6063,] 0.7168879
## [6064,] 0.8529542
## [6065,] 0.5267095
## [6066,] 0.8322363
## [6067,] 0.8496286
## [6068,] 0.6789929
## [6069,] 1.0412467
## [6070,] 0.6670230
## [6071,] 3.0244561
## [6072,] 0.9035569
## [6073,] 0.7452127
## [6074,] 0.4488054
## [6075,] 0.6172832
## [6076,] 0.7068382
## [6077,] 0.7160777
## [6078,] 0.9716853
## [6079,] 0.6354519
## [6080,] 2.4428431
## [6081,] 2.3830940
## [6082,] 0.5490684
## [6083,] 2.9061563
## [6084,] 0.6882208
## [6085,] 0.9338188
## [6086,] 0.5605248
## [6087,] 0.7600213
## [6088,] 1.3314151
## [6089,] 0.9079345
## [6090,] 1.2049605
## [6091,] 1.0966390
## [6092,] 1.1055912
## [6093,] 1.5454846
## [6094,] 2.7872695
## [6095,] 0.5318539
## [6096,] 1.8210190
## [6097,] 0.5559389
## [6098,] 1.4992982
## [6099,] 1.0178008
## [6100,] 1.2486754
## [6101,] 3.7950927
## [6102,] 0.7143390
## [6103,] 0.6067753
## [6104,] 1.4715169
## [6105,] 1.5754899
## [6106,] 0.4590891
## [6107,] 0.5555435
## [6108,] 0.7428830
## [6109,] 1.4471995
## [6110,] 1.1482909
## [6111,] 2.1093998
## [6112,] 0.4463120
## [6113,] 0.6273210
## [6114,] 0.6529418
## [6115,] 1.1349765
## [6116,] 0.3572409
## [6117,] 1.0190715
## [6118,] 0.7887182
## [6119,] 0.5245150
## [6120,] 0.6732593
## [6121,] 0.5003310
## [6122,] 2.5999845
## [6123,] 1.3328409
## [6124,] 2.7361768
## [6125,] 1.3960757
## [6126,] 0.7308367
## [6127,] 1.2977046
## [6128,] 0.5670106
## [6129,] 6.6261920
## [6130,] 2.6350412
## [6131,] 0.5400838
## [6132,] 0.9027986
## [6133,] 0.5859934
## [6134,] 0.6710881
## [6135,] 1.4656593
## [6136,] 0.7226070
## [6137,] 1.1233996
## [6138,] 0.5576829
## [6139,] 0.4474091
## [6140,] 0.6892063
## [6141,] 0.3075418
## [6142,] 1.9291124
## [6143,] 1.3902619
## [6144,] 1.3440203
## [6145,] 0.7699016
## [6146,] 2.0493418
## [6147,] 2.3299847
## [6148,] 0.4086480
## [6149,] 0.6052693
## [6150,] 0.6896731
## [6151,] 0.6881027
## [6152,] 2.0179427
## [6153,] 0.7082633
## [6154,] 0.5551834
## [6155,] 0.3841415
## [6156,] 1.2411528
## [6157,] 0.8599829
## [6158,] 0.6826513
## [6159,] 0.4552469
## [6160,] 1.4155974
## [6161,] 0.4561179
## [6162,] 0.8165322
## [6163,] 0.3721574
## [6164,] 1.6639713
## [6165,] 0.6216762
## [6166,] 0.9597822
## [6167,] 0.6223357
## [6168,] 0.9759697
## [6169,] 0.8078629
## [6170,] 0.9088798
## [6171,] 1.0523432
## [6172,] 0.4071001
## [6173,] 0.6101564
## [6174,] 0.6068060
## [6175,] 1.3785237
## [6176,] 1.0100418
## [6177,] 0.9063302
## [6178,] 1.0232723
## [6179,] 0.4052761
## [6180,] 0.3936618
## [6181,] 0.4701630
## [6182,] 0.5935413
## [6183,] 4.8242320
## [6184,] 1.4080789
## [6185,] 4.7461946
## [6186,] 0.6969389
## [6187,] 1.4239704
## [6188,] 1.4198974
## [6189,] 1.1200768
## [6190,] 0.8070324
## [6191,] 0.5771716
## [6192,] 2.0871202
## [6193,] 0.7413844
## [6194,] 1.3491832
## [6195,] 1.3537315
## [6196,] 1.3218795
## [6197,] 0.9284125
## [6198,] 0.5172142
## [6199,] 0.9188485
## [6200,] 0.5528038
## [6201,] 1.8136424
## [6202,] 0.3930761
## [6203,] 1.4285145
## [6204,] 0.8470593
## [6205,] 0.5461809
## [6206,] 1.8950335
## [6207,] 0.4886951
## [6208,] 0.6702508
## [6209,] 0.6296863
## [6210,] 0.8521416
## [6211,] 0.7716302
## [6212,] 0.5839427
## [6213,] 0.4193004
## [6214,] 0.6989224
## [6215,] 0.4343372
## [6216,] 1.1406450
## [6217,] 0.8474624
## [6218,] 0.6144301
## [6219,] 0.7680918
## [6220,] 1.4262769
## [6221,] 0.6781091
## [6222,] 1.4048269
## [6223,] 0.6035418
## [6224,] 0.6874315
## [6225,] 0.6945742
## [6226,] 0.5820163
## [6227,] 0.6947854
## [6228,] 0.4636289
## [6229,] 0.3872655
## [6230,] 0.5814345
## [6231,] 0.6214907
## [6232,] 0.3997355
## [6233,] 1.0354221
## [6234,] 0.9179150
## [6235,] 0.9979861
## [6236,] 0.3502429
## [6237,] 0.8569873
## [6238,] 0.4269552
## [6239,] 0.7359257
## [6240,] 2.7198496
## [6241,] 0.7558479
## [6242,] 1.0917102
## [6243,] 1.6796415
## [6244,] 0.5275967
## [6245,] 1.3315326
## [6246,] 2.1134214
## [6247,] 1.1739359
## [6248,] 0.7029696
## [6249,] 0.7423119
## [6250,] 2.9207863
## [6251,] 0.5090678
## [6252,] 0.5736921
## [6253,] 0.3792535
## [6254,] 1.6622989
## [6255,] 1.3370191
## [6256,] 0.5480904
## [6257,] 0.9570787
## [6258,] 0.8759438
## [6259,] 0.5528843
## [6260,] 0.5091476
## [6261,] 1.8679379
## [6262,] 1.4121368
## [6263,] 0.5299578
## [6264,] 0.7274142
## [6265,] 2.2005145
## [6266,] 1.9898723
## [6267,] 0.7887028
## [6268,] 0.7552667
## [6269,] 2.1127989
## [6270,] 1.2770629
## [6271,] 1.7522183
## [6272,] 1.1211264
## [6273,] 2.4869569
## [6274,] 0.5725855
## [6275,] 0.7679355
## [6276,] 1.6757030
## [6277,] 0.7123643
## [6278,] 1.2096616
## [6279,] 1.0139112
## [6280,] 0.8563660
## [6281,] 2.0334364
## [6282,] 0.7671530
## [6283,] 0.5444547
## [6284,] 0.6793520
## [6285,] 0.4986383
## [6286,] 0.7690627
## [6287,] 1.2375737
## [6288,] 0.3641652
## [6289,] 1.0699747
## [6290,] 0.6371390
## [6291,] 2.8392832
## [6292,] 0.6899917
## [6293,] 0.3233765
## [6294,] 0.6868744
## [6295,] 0.4882068
## [6296,] 0.5085088
## [6297,] 0.7943906
## [6298,] 0.7312354
## [6299,] 0.7031268
## [6300,] 1.4055309
## [6301,] 0.7830948
## [6302,] 0.4007238
## [6303,] 0.5750268
## [6304,] 0.5296084
## [6305,] 0.6504217
## [6306,] 0.4056666
## [6307,] 0.8728764
## [6308,] 0.7005894
## [6309,] 2.0734692
## [6310,] 0.5131721
## [6311,] 0.6620030
## [6312,] 1.4083609
## [6313,] 1.0159973
## [6314,] 1.0522574
## [6315,] 1.0783079
## [6316,] 0.8439764
## [6317,] 0.3917218
## [6318,] 1.1244219
## [6319,] 1.8267284
## [6320,] 0.5442525
## [6321,] 0.7982912
## [6322,] 0.7022765
## [6323,] 0.4767859
## [6324,] 2.9967924
## [6325,] 0.6451377
## [6326,] 1.0514401
## [6327,] 0.5138216
## [6328,] 1.4320567
## [6329,] 1.3375211
## [6330,] 0.7297040
## [6331,] 1.8044091
## [6332,] 0.8309568
## [6333,] 1.2794678
## [6334,] 1.3149674
## [6335,] 0.7805221
## [6336,] 0.6935871
## [6337,] 1.2053339
## [6338,] 0.7144731
## [6339,] 0.4753021
## [6340,] 1.1578206
## [6341,] 0.4681412
## [6342,] 0.8764520
## [6343,] 2.9868196
## [6344,] 1.0599793
## [6345,] 0.5069877
## [6346,] 0.7348142
## [6347,] 1.5900838
## [6348,] 1.1101149
## [6349,] 1.4135040
## [6350,] 1.0320475
## [6351,] 0.3146246
## [6352,] 1.2014424
## [6353,] 1.7955155
## [6354,] 0.5948501
## [6355,] 8.2519761
## [6356,] 1.1978832
## [6357,] 0.9727944
## [6358,] 1.1611588
## [6359,] 0.6645107
## [6360,] 0.6731715
## [6361,] 0.6100220
## [6362,] 1.3407093
## [6363,] 1.3525513
## [6364,] 1.8162347
## [6365,] 0.5122097
## [6366,] 0.8337414
## [6367,] 0.4753307
## [6368,] 0.6910079
## [6369,] 1.5984795
## [6370,] 0.3978140
## [6371,] 0.6717044
## [6372,] 1.2137159
## [6373,] 2.1141211
## [6374,] 1.0933560
## [6375,] 0.3470529
## [6376,] 0.6607984
## [6377,] 2.7791045
## [6378,] 0.5739441
## [6379,] 0.8193942
## [6380,] 0.4289798
## [6381,] 0.5597246
## [6382,] 0.3658657
## [6383,] 0.7849555
## [6384,] 0.7861704
## [6385,] 0.3967582
## [6386,] 0.4309530
## [6387,] 0.6425156
## [6388,] 0.6367098
## [6389,] 0.5312093
## [6390,] 0.5766295
## [6391,] 0.8500773
## [6392,] 0.4721252
## [6393,] 0.7140348
## [6394,] 0.7722393
## [6395,] 0.5400676
## [6396,] 0.8528376
## [6397,] 1.3471830
## [6398,] 0.6926210
## [6399,] 6.1704821
## [6400,] 1.0101549
## [6401,] 0.6887886
## [6402,] 0.8904227
## [6403,] 0.7722870
## [6404,] 1.2173057
## [6405,] 0.7382398
## [6406,] 0.5900828
## [6407,] 1.1708931
## [6408,] 0.6781017
## [6409,] 1.7178157
## [6410,] 1.0500336
## [6411,] 0.6707510
## [6412,] 0.5403397
## [6413,] 0.7301755
## [6414,] 0.8504051
## [6415,] 0.8508340
## [6416,] 0.6815032
## [6417,] 0.8824885
## [6418,] 0.3794677
## [6419,] 1.3440203
## [6420,] 0.7629660
## [6421,] 1.0772601
## [6422,] 0.7489941
## [6423,] 0.6631142
## [6424,] 0.5082374
## [6425,] 0.7546413
## [6426,] 0.9876943
## [6427,] 1.0553791
## [6428,] 2.9790097
## [6429,] 1.1928576
## [6430,] 0.8235852
## [6431,] 0.4110521
## [6432,] 1.0246457
## [6433,] 0.4981859
## [6434,] 0.2965878
## [6435,] 0.8303122
## [6436,] 0.7270551
## [6437,] 0.5528868
## [6438,] 1.1903725
## [6439,] 0.3574527
## [6440,] 2.5945270
## [6441,] 0.7378685
## [6442,] 0.8604236
## [6443,] 1.8482613
## [6444,] 0.4425683
## [6445,] 0.6373975
## [6446,] 0.6922708
## [6447,] 0.8148622
## [6448,] 2.5519746
## [6449,] 1.9703616
## [6450,] 0.4072187
## [6451,] 0.9223002
## [6452,] 1.1068442
## [6453,] 2.0105279
## [6454,] 0.8820557
## [6455,] 1.1555872
## [6456,] 0.7486202
## [6457,] 0.8182156
## [6458,] 0.7714869
## [6459,] 0.7678316
## [6460,] 0.5417277
## [6461,] 0.5904052
## [6462,] 0.8323091
## [6463,] 2.1512267
## [6464,] 2.0101453
## [6465,] 0.7039054
## [6466,] 1.5009049
## [6467,] 0.3137198
## [6468,] 0.4031065
## [6469,] 0.7287660
## [6470,] 0.6297768
## [6471,] 0.3783499
## [6472,] 0.7859935
## [6473,] 0.8285719
## [6474,] 0.9982300
## [6475,] 2.8471350
## [6476,] 1.0392800
## [6477,] 0.7613588
## [6478,] 1.4184676
## [6479,] 1.2109319
## [6480,] 0.6026009
## [6481,] 0.7627046
## [6482,] 2.8845098
## [6483,] 0.7613906
## [6484,] 0.8746385
## [6485,] 0.6971972
## [6486,] 0.8106397
## [6487,] 1.0605473
## [6488,] 3.1427437
## [6489,] 0.6425442
## [6490,] 1.1913738
## [6491,] 0.6929155
## [6492,] 0.5385838
## [6493,] 0.6980509
## [6494,] 0.9945554
## [6495,] 2.0916937
## [6496,] 0.8243991
## [6497,] 1.1492348
## [6498,] 0.6013592
## [6499,] 0.6301120
## [6500,] 0.9458431
## [6501,] 1.2334926
## [6502,] 2.4082801
## [6503,] 0.7583952
## [6504,] 1.9636206
## [6505,] 0.9766605
## [6506,] 0.6934630
## [6507,] 1.2560217
## [6508,] 0.6038310
## [6509,] 1.3067455
## [6510,] 0.8273977
## [6511,] 0.4138419
## [6512,] 0.4855271
## [6513,] 1.0029027
## [6514,] 2.7433777
## [6515,] 1.3042864
## [6516,] 0.7320210
## [6517,] 1.2780305
## [6518,] 0.3773210
## [6519,] 0.2429898
## [6520,] 0.6314041
## [6521,] 1.0024057
## [6522,] 0.5205632
## [6523,] 0.6303230
## [6524,] 0.7010819
## [6525,] 1.0443671
## [6526,] 0.5921793
## [6527,] 0.5251500
## [6528,] 0.7559337
## [6529,] 2.0026920
## [6530,] 1.7683566
## [6531,] 1.3983635
## [6532,] 0.4034998
## [6533,] 0.2295031
## [6534,] 0.4691470
## [6535,] 0.9344870
## [6536,] 1.4347260
## [6537,] 1.3290442
## [6538,] 0.4089911
## [6539,] 0.7754357
## [6540,] 0.6150787
## [6541,] 0.7927339
## [6542,] 0.5206058
## [6543,] 0.6902667
## [6544,] 0.5364804
## [6545,] 0.9583777
## [6546,] 0.8373699
## [6547,] 0.3988803
## [6548,] 3.6207092
## [6549,] 0.4254181
## [6550,] 1.1010245
## [6551,] 0.6127034
## [6552,] 1.1656008
## [6553,] 0.9560261
## [6554,] 0.5082588
## [6555,] 0.7188224
## [6556,] 0.3058845
## [6557,] 1.5977049
## [6558,] 0.4959629
## [6559,] 0.6030613
## [6560,] 0.7246784
## [6561,] 0.6547912
## [6562,] 0.3632039
## [6563,] 2.1580301
## [6564,] 1.1341493
## [6565,] 1.2222829
## [6566,] 1.1015429
## [6567,] 1.0408430
## [6568,] 0.6137101
## [6569,] 0.4180184
## [6570,] 0.2897209
## [6571,] 1.4556403
## [6572,] 0.3763539
## [6573,] 0.8032262
## [6574,] 1.1544204
## [6575,] 0.8158584
## [6576,] 5.8776677
## [6577,] 1.9047346
## [6578,] 1.2282316
## [6579,] 0.6472629
## [6580,] 1.9623559
## [6581,] 0.5740301
## [6582,] 1.7514125
## [6583,] 1.0398746
## [6584,] 0.4166913
## [6585,] 0.7570510
## [6586,] 1.1873095
## [6587,] 0.4616890
## [6588,] 0.4475682
## [6589,] 0.7636339
## [6590,] 0.4124997
## [6591,] 0.6071577
## [6592,] 0.6081331
## [6593,] 0.4493583
## [6594,] 0.8924153
## [6595,] 0.4419565
## [6596,] 0.4237921
## [6597,] 0.7567391
## [6598,] 0.7308453
## [6599,] 0.5105382
## [6600,] 1.4274278
## [6601,] 2.0258918
## [6602,] 1.1095050
## [6603,] 0.5238726
## [6604,] 0.3475232
## [6605,] 1.3376641
## [6606,] 1.9092055
## [6607,] 0.6953822
## [6608,] 1.2037568
## [6609,] 1.3787012
## [6610,] 0.6468260
## [6611,] 0.3916401
## [6612,] 0.8399149
## [6613,] 0.5994449
## [6614,] 0.6302481
## [6615,] 4.2471589
## [6616,] 0.5083995
## [6617,] 0.5895683
## [6618,] 1.3762382
## [6619,] 0.5183724
## [6620,] 1.5785087
## [6621,] 0.5589011
## [6622,] 1.7659409
## [6623,] 0.6178124
## [6624,] 1.0687891
## [6625,] 1.8111271
## [6626,] 0.9171443
## [6627,] 0.8569398
## [6628,] 0.8825751
## [6629,] 0.8807189
## [6630,] 0.9683106
## [6631,] 1.5666506
## [6632,] 0.6142485
## [6633,] 2.0288918
## [6634,] 0.4069993
## [6635,] 1.5487115
## [6636,] 0.7945358
## [6637,] 0.7342765
## [6638,] 1.6147940
## [6639,] 0.6650135
## [6640,] 1.4351769
## [6641,] 1.2826032
## [6642,] 0.7253696
## [6643,] 1.0722657
## [6644,] 0.8605393
## [6645,] 0.6923818
## [6646,] 0.5635057
## [6647,] 0.4176555
## [6648,] 0.3631194
## [6649,] 1.0133530
## [6650,] 0.8020428
## [6651,] 1.0392819
## [6652,] 0.7675698
## [6653,] 0.5197665
## [6654,] 3.0562228
## [6655,] 0.5343464
## [6656,] 0.4182323
## [6657,] 1.4172121
## [6658,] 0.6543242
## [6659,] 0.9582682
## [6660,] 0.8683138
## [6661,] 0.7293822
## [6662,] 0.5468757
## [6663,] 1.8308680
## [6664,] 0.7289994
## [6665,] 0.6865433
## [6666,] 1.8570613
## [6667,] 0.8241614
## [6668,] 0.5238323
## [6669,] 0.9736848
## [6670,] 1.0563382
## [6671,] 0.6029459
## [6672,] 0.8213465
## [6673,] 0.5697305
## [6674,] 0.7886821
## [6675,] 0.4638535
## [6676,] 0.7093846
## [6677,] 0.5510017
## [6678,] 0.4244777
## [6679,] 0.8555370
## [6680,] 0.4861393
## [6681,] 1.0010764
## [6682,] 1.3408017
## [6683,] 1.5177687
## [6684,] 0.9871436
## [6685,] 0.7061840
## [6686,] 0.4784170
## [6687,] 0.6365080
## [6688,] 2.4782742
## [6689,] 0.5916213
## [6690,] 0.6326607
## [6691,] 1.3457228
## [6692,] 1.4681644
## [6693,] 1.3174012
## [6694,] 0.6042458
## [6695,] 1.0985871
## [6696,] 0.7325443
## [6697,] 1.1776729
## [6698,] 1.4223730
## [6699,] 0.6043234
## [6700,] 1.0115075
## [6701,] 1.5984428
## [6702,] 2.3529479
## [6703,] 0.4592247
## [6704,] 0.8506928
## [6705,] 0.8412864
## [6706,] 1.3378623
## [6707,] 0.5505928
## [6708,] 1.2728395
## [6709,] 0.6448416
## [6710,] 0.8017805
## [6711,] 0.7818698
## [6712,] 0.7435853
## [6713,] 0.3453746
## [6714,] 0.5249598
## [6715,] 0.7646119
## [6716,] 1.0904987
## [6717,] 1.1534582
## [6718,] 0.6754413
## [6719,] 1.7155673
## [6720,] 0.7871513
## [6721,] 0.7946819
## [6722,] 1.3244141
## [6723,] 0.8221590
## [6724,] 0.7003378
## [6725,] 1.8969685
## [6726,] 1.9598098
## [6727,] 0.3866475
## [6728,] 0.4210336
## [6729,] 0.7529029
## [6730,] 0.4270074
## [6731,] 0.9712695
## [6732,] 1.5009218
## [6733,] 1.1128684
## [6734,] 1.7474415
## [6735,] 0.3439980
## [6736,] 2.1101262
## [6737,] 0.4372383
## [6738,] 1.2115692
## [6739,] 1.1763269
## [6740,] 0.8323132
## [6741,] 1.8313687
## [6742,] 0.4008345
## [6743,] 0.7922365
## [6744,] 1.1872485
## [6745,] 0.6299001
## [6746,] 1.5916121
## [6747,] 0.7566900
## [6748,] 0.7619128
## [6749,] 0.8747462
## [6750,] 1.4079764
## [6751,] 3.5661807
## [6752,] 0.5643041
## [6753,] 2.0980446
## [6754,] 1.1177274
## [6755,] 0.6803347
## [6756,] 0.9477758
## [6757,] 0.6743852
## [6758,] 0.7130565
## [6759,] 0.4577581
## [6760,] 0.3797884
## [6761,] 0.3818467
## [6762,] 0.5997878
## [6763,] 0.2370283
## [6764,] 0.5279163
## [6765,] 0.5747433
## [6766,] 0.5269407
## [6767,] 0.4282429
## [6768,] 0.6499370
## [6769,] 0.5733690
## [6770,] 1.1096549
## [6771,] 0.7214187
## [6772,] 0.5414035
## [6773,] 1.5199608
## [6774,] 0.8165594
## [6775,] 1.0724162
## [6776,] 1.8274190
## [6777,] 0.7407382
## [6778,] 1.3591041
## [6779,] 1.5688812
## [6780,] 0.5555964
## [6781,] 0.5327940
## [6782,] 1.2841067
## [6783,] 0.4374980
## [6784,] 2.2516627
## [6785,] 3.6693452
## [6786,] 1.3094548
## [6787,] 0.7878698
## [6788,] 1.4003904
## [6789,] 1.3417332
## [6790,] 0.7830312
## [6791,] 0.6666904
## [6792,] 0.6022788
## [6793,] 0.4488389
## [6794,] 0.5999660
## [6795,] 0.5586984
## [6796,] 1.1138923
## [6797,] 0.8370649
## [6798,] 3.3978512
## [6799,] 2.1892996
## [6800,] 0.8141575
## [6801,] 1.0514982
## [6802,] 0.3199471
## [6803,] 0.3661091
## [6804,] 1.1923546
## [6805,] 0.9615705
## [6806,] 2.5670241
## [6807,] 1.1302591
## [6808,] 0.5202963
## [6809,] 0.5673626
## [6810,] 1.4638217
## [6811,] 1.2222461
## [6812,] 2.5157823
## [6813,] 3.0231195
## [6814,] 1.4262769
## [6815,] 0.6596513
## [6816,] 0.3172919
## [6817,] 0.9710178
## [6818,] 0.7144070
## [6819,] 0.3563215
## [6820,] 0.3055011
## [6821,] 0.3009832
## [6822,] 0.8661903
## [6823,] 0.9225735
## [6824,] 2.2922911
## [6825,] 0.5882012
## [6826,] 0.3350361
## [6827,] 0.7727650
## [6828,] 0.8706470
## [6829,] 0.5470752
## [6830,] 2.0772793
## [6831,] 0.6091322
## [6832,] 1.4472645
## [6833,] 1.4684910
## [6834,] 0.7654115
## [6835,] 0.5220145
## [6836,] 2.0223793
## [6837,] 0.5146357
## [6838,] 0.3675229
## [6839,] 1.9663265
## [6840,] 1.3688239
## [6841,] 0.6057395
## [6842,] 1.0944802
## [6843,] 0.6219808
## [6844,] 1.0184268
## [6845,] 0.2803088
## [6846,] 1.0046785
## [6847,] 1.3309766
## [6848,] 1.5935048
## [6849,] 0.4601378
## [6850,] 0.4814560
## [6851,] 1.1014277
## [6852,] 1.0012261
## [6853,] 0.5500009
## [6854,] 2.3274850
## [6855,] 0.6040712
## [6856,] 0.3519660
## [6857,] 0.8937869
## [6858,] 0.5048376
## [6859,] 0.9633897
## [6860,] 0.9170485
## [6861,] 5.9289237
## [6862,] 0.7589329
## [6863,] 0.6999197
## [6864,] 1.5287124
## [6865,] 0.6899787
## [6866,] 0.6453210
## [6867,] 2.2025819
## [6868,] 1.0061535
## [6869,] 0.9974741
## [6870,] 0.4580989
## [6871,] 0.8136099
## [6872,] 3.5774902
## [6873,] 0.4828623
## [6874,] 0.5957895
## [6875,] 0.5865571
## [6876,] 0.4468601
## [6877,] 0.7974859
## [6878,] 0.8274549
## [6879,] 0.6503109
## [6880,] 0.3556280
## [6881,] 2.7352472
## [6882,] 0.8633317
## [6883,] 0.8341985
## [6884,] 0.8313952
## [6885,] 2.1172148
## [6886,] 1.6527985
## [6887,] 0.8773396
## [6888,] 0.4950588
## [6889,] 1.7584995
## [6890,] 1.0129589
## [6891,] 0.6087175
## [6892,] 1.2021654
## [6893,] 0.6900455
## [6894,] 1.9257607
## [6895,] 1.3349637
## [6896,] 0.3471806
## [6897,] 0.7106574
## [6898,] 3.4641682
## [6899,] 1.1489461
## [6900,] 0.9782962
## [6901,] 0.8795896
## [6902,] 2.1149379
## [6903,] 1.0985864
## [6904,] 0.6799178
## [6905,] 0.7763477
## [6906,] 2.5495547
## [6907,] 0.5177183
## [6908,] 0.4188153
## [6909,] 0.8776717
## [6910,] 3.0982963
## [6911,] 0.8418581
## [6912,] 0.3491316
## [6913,] 0.6539029
## [6914,] 0.6427046
## [6915,] 1.6622410
## [6916,] 1.0755907
## [6917,] 0.5006306
## [6918,] 0.5427453
## [6919,] 2.5117704
## [6920,] 1.2036898
## [6921,] 2.0918831
## [6922,] 1.3489215
## [6923,] 0.9721479
## [6924,] 1.5150147
## [6925,] 0.9680534
## [6926,] 0.6570623
## [6927,] 0.4828772
## [6928,] 0.7343904
## [6929,] 2.7162095
## [6930,] 0.4701320
## [6931,] 1.6026348
## [6932,] 0.6238618
## [6933,] 0.3735531
## [6934,] 0.5774865
## [6935,] 0.9338158
## [6936,] 1.4483219
## [6937,] 1.0409522
## [6938,] 2.0916937
## [6939,] 0.4919020
## [6940,] 0.4275730
## [6941,] 0.5343338
## [6942,] 0.8466404
## [6943,] 0.6337388
## [6944,] 0.7627517
## [6945,] 0.4212023
## [6946,] 0.5008572
## [6947,] 0.6882250
## [6948,] 0.4119327
## [6949,] 0.8689315
## [6950,] 1.0269795
## [6951,] 1.0609634
## [6952,] 0.7029696
## [6953,] 1.8708527
## [6954,] 0.8644334
## [6955,] 1.1636750
## [6956,] 0.3667161
## [6957,] 0.6767275
## [6958,] 1.1663172
## [6959,] 0.9137930
## [6960,] 0.6908967
## [6961,] 1.0528366
## [6962,] 0.6280147
## [6963,] 1.5208899
## [6964,] 1.5669700
## [6965,] 1.2791777
## [6966,] 0.5847110
## [6967,] 0.6687130
## [6968,] 0.6343667
## [6969,] 1.0622389
## [6970,] 1.0367571
## [6971,] 0.5868078
## [6972,] 0.4362938
## [6973,] 0.9033875
## [6974,] 0.4413456
## [6975,] 0.4445399
## [6976,] 1.4913723
## [6977,] 1.1660016
## [6978,] 1.1634213
## [6979,] 0.9283099
## [6980,] 0.7051710
## [6981,] 0.8302023
## [6982,] 1.3900714
## [6983,] 0.6090892
## [6984,] 0.8942560
## [6985,] 0.6764417
## [6986,] 0.5603015
## [6987,] 0.5444327
## [6988,] 0.4304522
## [6989,] 0.8226729
## [6990,] 0.5276002
## [6991,] 0.8979413
## [6992,] 0.7512415
## [6993,] 0.5697701
## [6994,] 1.1729901
## [6995,] 0.6062722
## [6996,] 0.8997349
## [6997,] 0.7794552
## [6998,] 0.5329210
## [6999,] 0.4151126
## [7000,] 1.6351213
## [7001,] 0.5620601
## [7002,] 0.5251068
## [7003,] 0.6016736
## [7004,] 1.7270543
## [7005,] 0.5538318
## [7006,] 0.4612403
## [7007,] 0.5346183
## [7008,] 0.5275967
## [7009,] 2.7010182
## [7010,] 1.1728377
## [7011,] 1.0756176
## [7012,] 1.7922716
## [7013,] 1.5310721
## [7014,] 0.4642688
## [7015,] 1.3190307
## [7016,] 0.8236022
## [7017,] 0.5942829
## [7018,] 0.5671067
## [7019,] 0.4265088
## [7020,] 0.9318977
## [7021,] 1.4651704
## [7022,] 0.5059161
## [7023,] 0.5647448
## [7024,] 0.4240386
## [7025,] 0.5618243
## [7026,] 0.3960327
## [7027,] 1.2662939
## [7028,] 1.2886099
## [7029,] 0.3862565
## [7030,] 0.8974299
## [7031,] 0.9338927
## [7032,] 0.5162710
## [7033,] 1.1772421
## [7034,] 0.5127761
## [7035,] 0.5935157
## [7036,] 0.6069334
## [7037,] 0.5256418
## [7038,] 2.3605389
## [7039,] 0.8627786
## [7040,] 0.6822597
## [7041,] 1.6547054
## [7042,] 0.7323554
## [7043,] 1.6161184
## [7044,] 1.2804919
## [7045,] 0.7707418
## [7046,] 1.7474415
## [7047,] 0.4828742
## [7048,] 0.9137757
## [7049,] 0.4779538
## [7050,] 1.2483894
## [7051,] 0.8706694
## [7052,] 0.9627036
## [7053,] 0.4608664
## [7054,] 0.3951020
## [7055,] 0.6073176
## [7056,] 5.4858841
## [7057,] 1.2751384
## [7058,] 1.0839976
## [7059,] 0.7690734
## [7060,] 1.6418925
## [7061,] 0.7571290
## [7062,] 0.4945225
## [7063,] 0.5900004
## [7064,] 0.4559335
## [7065,] 0.7174166
## [7066,] 0.6814379
## [7067,] 0.3636949
## [7068,] 0.7452872
## [7069,] 1.1236849
## [7070,] 0.7465172
## [7071,] 1.1300292
## [7072,] 0.8267922
## [7073,] 0.9764214
## [7074,] 1.2218459
## [7075,] 0.5680117
## [7076,] 0.9944514
## [7077,] 0.7082770
## [7078,] 0.8947073
## [7079,] 0.8524340
## [7080,] 0.9562611
## [7081,] 1.0064829
## [7082,] 0.9010886
## [7083,] 0.4668054
## [7084,] 0.6689316
## [7085,] 1.7180808
## [7086,] 0.8090155
## [7087,] 0.6516797
## [7088,] 1.5558906
## [7089,] 0.3903608
## [7090,] 0.6038026
## [7091,] 1.8545470
## [7092,] 1.0418952
## [7093,] 0.2608028
## [7094,] 0.6504850
## [7095,] 0.7244759
## [7096,] 0.7079525
## [7097,] 3.3269248
## [7098,] 1.7386261
## [7099,] 0.4563589
## [7100,] 1.2708196
## [7101,] 2.0500850
## [7102,] 0.6662450
## [7103,] 0.4838354
## [7104,] 0.5778174
## [7105,] 1.4502599
## [7106,] 2.6437279
## [7107,] 1.6687912
## [7108,] 0.9007106
## [7109,] 0.4174539
## [7110,] 0.5917374
## [7111,] 0.7683189
## [7112,] 0.7310533
## [7113,] 0.6038110
## [7114,] 0.6833520
## [7115,] 0.8254830
## [7116,] 0.6850274
## [7117,] 1.2718422
## [7118,] 1.2055578
## [7119,] 1.1673460
## [7120,] 0.6820922
## [7121,] 0.9473631
## [7122,] 0.8537230
## [7123,] 0.7079469
## [7124,] 0.6224141
## [7125,] 0.6464065
## [7126,] 1.5335286
## [7127,] 1.0689278
## [7128,] 0.8227181
## [7129,] 2.2430131
## [7130,] 2.1969352
## [7131,] 1.2058627
## [7132,] 0.7120943
## [7133,] 1.2092236
## [7134,] 1.2934086
## [7135,] 1.9142993
## [7136,] 1.2630118
## [7137,] 0.9017469
## [7138,] 0.6121811
## [7139,] 0.5441577
## [7140,] 0.7004558
## [7141,] 2.3568132
## [7142,] 0.6479216
## [7143,] 1.0349844
## [7144,] 1.4733593
## [7145,] 0.6205707
## [7146,] 0.5679555
## [7147,] 0.5013692
## [7148,] 0.5023381
## [7149,] 0.5435093
## [7150,] 1.6233821
## [7151,] 1.3620475
## [7152,] 0.6615767
## [7153,] 0.4014588
## [7154,] 1.4710920
## [7155,] 0.7397337
## [7156,] 1.2942143
## [7157,] 0.7913383
## [7158,] 0.8085028
## [7159,] 0.8919678
## [7160,] 2.6453389
## [7161,] 0.8482666
## [7162,] 1.4069382
## [7163,] 2.3000409
## [7164,] 0.4896859
## [7165,] 0.5381890
## [7166,] 0.6407931
## [7167,] 0.9054320
## [7168,] 0.4873579
## [7169,] 0.9725845
## [7170,] 1.3822193
## [7171,] 0.7705223
## [7172,] 0.8464759
## [7173,] 0.5879863
## [7174,] 1.1104914
## [7175,] 1.9407468
## [7176,] 0.6901416
## [7177,] 1.5837361
## [7178,] 2.7540414
## [7179,] 1.3698219
## [7180,] 1.0816531
## [7181,] 0.9534712
## [7182,] 1.2535830
## [7183,] 1.2661149
## [7184,] 0.6985033
## [7185,] 1.1022927
## [7186,] 1.0468936
## [7187,] 0.6881926
## [7188,] 0.8731218
## [7189,] 2.8510607
## [7190,] 2.4589669
## [7191,] 1.0188604
## [7192,] 1.3863457
## [7193,] 2.7254539
## [7194,] 0.6647146
## [7195,] 0.6840300
## [7196,] 1.4519261
## [7197,] 0.6563236
## [7198,] 1.3497015
## [7199,] 2.9491981
## [7200,] 0.8616480
## [7201,] 0.7283581
## [7202,] 0.5876986
## [7203,] 0.5854659
## [7204,] 0.9880050
## [7205,] 1.1508533
## [7206,] 0.7544770
## [7207,] 0.4687825
## [7208,] 0.7826885
## [7209,] 0.6861344
## [7210,] 1.2441958
## [7211,] 1.3962436
## [7212,] 0.8887226
## [7213,] 0.6566801
## [7214,] 2.1718387
## [7215,] 0.5010952
## [7216,] 0.8917840
## [7217,] 3.1886337
## [7218,] 0.7061424
## [7219,] 1.1478181
## [7220,] 1.0500640
## [7221,] 0.8715884
## [7222,] 0.6857131
## [7223,] 0.2910851
## [7224,] 2.6335717
## [7225,] 0.8225679
## [7226,] 0.8104034
## [7227,] 0.6116724
## [7228,] 0.8406898
## [7229,] 1.2230720
## [7230,] 0.9308597
## [7231,] 1.2732298
## [7232,] 0.5300736
## [7233,] 2.6066328
## [7234,] 0.6753406
## [7235,] 1.1801993
## [7236,] 0.2667148
## [7237,] 0.7675891
## [7238,] 0.7670623
## [7239,] 1.5636325
## [7240,] 0.8866328
## [7241,] 0.2675315
## [7242,] 0.9839153
## [7243,] 0.3727071
## [7244,] 1.5224470
## [7245,] 0.5583395
## [7246,] 0.6194142
## [7247,] 0.5606178
## [7248,] 1.1741191
## [7249,] 4.5219226
## [7250,] 0.4743635
## [7251,] 2.8931499
## [7252,] 0.7672078
## [7253,] 0.5024523
## [7254,] 0.8966040
## [7255,] 1.4870965
## [7256,] 0.8077721
## [7257,] 0.7999683
## [7258,] 0.3696320
## [7259,] 1.5290254
## [7260,] 1.0630800
## [7261,] 0.8654639
## [7262,] 0.7253690
## [7263,] 0.5990139
## [7264,] 0.6516797
## [7265,] 0.9760414
## [7266,] 0.3741389
## [7267,] 0.7394488
## [7268,] 0.5840036
## [7269,] 0.5273118
## [7270,] 3.0628238
## [7271,] 0.3975522
## [7272,] 0.9160163
## [7273,] 0.6851310
## [7274,] 0.5288580
## [7275,] 0.3759659
## [7276,] 0.6401021
## [7277,] 0.5120156
## [7278,] 0.7631203
## [7279,] 2.1270010
## [7280,] 2.0210489
## [7281,] 2.7443515
## [7282,] 0.9360943
## [7283,] 1.1118240
## [7284,] 1.6122259
## [7285,] 1.0843076
## [7286,] 2.2462134
## [7287,] 1.0234924
## [7288,] 0.4548422
## [7289,] 0.5874429
## [7290,] 0.5620703
## [7291,] 0.9542522
## [7292,] 0.8973442
## [7293,] 0.3743814
## [7294,] 1.7423356
## [7295,] 0.3700998
## [7296,] 1.3634653
## [7297,] 0.9724312
## [7298,] 0.8203041
## [7299,] 0.7466067
## [7300,] 1.2765560
## [7301,] 3.1417207
## [7302,] 0.5117110
## [7303,] 2.4896026
## [7304,] 1.0607697
## [7305,] 1.4923854
## [7306,] 0.6176620
## [7307,] 0.6513126
## [7308,] 0.8433422
## [7309,] 0.7096605
## [7310,] 3.5443602
## [7311,] 0.7062534
## [7312,] 3.7333073
## [7313,] 1.1785104
## [7314,] 0.4685784
## [7315,] 0.7940794
## [7316,] 0.3258990
## [7317,] 0.7913111
## [7318,] 1.0019355
## [7319,] 2.0571670
## [7320,] 0.7647198
## [7321,] 2.2385428
## [7322,] 0.9850593
## [7323,] 0.4908648
## [7324,] 1.6604829
## [7325,] 3.3358990
## [7326,] 0.9560044
## [7327,] 0.7462280
## [7328,] 1.1276676
## [7329,] 0.3497739
## [7330,] 1.7477482
## [7331,] 0.7961091
## [7332,] 0.3762725
## [7333,] 1.5052256
## [7334,] 1.6369216
## [7335,] 1.1022778
## [7336,] 1.3017637
## [7337,] 0.7925240
## [7338,] 0.5807328
## [7339,] 0.5137422
## [7340,] 1.1165812
## [7341,] 1.4586017
## [7342,] 0.5093506
## [7343,] 4.6413871
## [7344,] 1.6220067
## [7345,] 0.4845997
## [7346,] 0.7661001
## [7347,] 1.1109698
## [7348,] 1.2584108
## [7349,] 2.0515927
## [7350,] 1.4545912
## [7351,] 1.1114155
## [7352,] 0.6623563
## [7353,] 0.5579520
## [7354,] 0.6493853
## [7355,] 0.9944946
## [7356,] 1.0647698
## [7357,] 0.7048790
## [7358,] 0.4996356
## [7359,] 0.6415359
## [7360,] 1.3641910
## [7361,] 0.8824885
## [7362,] 0.7487740
## [7363,] 2.2109723
## [7364,] 1.3403156
## [7365,] 2.2433262
## [7366,] 1.4951306
## [7367,] 1.0243386
## [7368,] 0.7139062
## [7369,] 2.1205597
## [7370,] 0.4568897
## [7371,] 0.6231828
## [7372,] 0.9971933
## [7373,] 7.2184480
## [7374,] 0.4223910
## [7375,] 0.5211330
## [7376,] 1.4776695
## [7377,] 0.6168682
## [7378,] 0.8210252
## [7379,] 0.6659263
## [7380,] 0.8351603
## [7381,] 0.9406336
## [7382,] 1.0967770
## [7383,] 0.8898230
## [7384,] 0.7937607
## [7385,] 0.5428889
## [7386,] 0.4438780
## [7387,] 0.5638576
## [7388,] 1.3383590
## [7389,] 0.2650031
## [7390,] 0.5506088
## [7391,] 0.8005815
## [7392,] 0.8351814
## [7393,] 1.2168476
## [7394,] 0.5617238
## [7395,] 0.5038987
## [7396,] 0.6364341
## [7397,] 0.7703357
## [7398,] 0.8841967
## [7399,] 1.6323033
## [7400,] 1.1635629
## [7401,] 0.9364846
## [7402,] 3.5323898
## [7403,] 1.4921987
## [7404,] 0.5857938
## [7405,] 0.2733629
## [7406,] 0.6206580
## [7407,] 0.6856430
## [7408,] 0.7048573
## [7409,] 0.4949244
## [7410,] 1.3655225
## [7411,] 0.6074952
## [7412,] 0.5242991
## [7413,] 1.3299599
## [7414,] 1.0222083
## [7415,] 0.4532671
## [7416,] 1.0412256
## [7417,] 0.6805178
## [7418,] 0.5432218
## [7419,] 0.7297085
## [7420,] 0.7723825
## [7421,] 1.3427543
## [7422,] 1.9834674
## [7423,] 0.9211523
## [7424,] 1.3902131
## [7425,] 0.7577924
## [7426,] 1.5992756
## [7427,] 0.6769817
## [7428,] 0.4882143
## [7429,] 0.5552941
## [7430,] 0.5880450
## [7431,] 0.4406424
## [7432,] 0.7617251
## [7433,] 0.9648808
## [7434,] 2.0435958
## [7435,] 0.7152615
## [7436,] 1.7492687
## [7437,] 0.5217363
## [7438,] 3.8353163
## [7439,] 1.1789950
## [7440,] 0.3452085
## [7441,] 0.7998093
## [7442,] 0.8851809
## [7443,] 0.8317653
## [7444,] 0.3597985
## [7445,] 3.6153714
## [7446,] 0.3573143
## [7447,] 1.7114342
## [7448,] 0.5698994
## [7449,] 0.4243822
## [7450,] 0.9051628
## [7451,] 1.6363825
## [7452,] 1.5945662
## [7453,] 0.4629658
## [7454,] 0.5023381
## [7455,] 1.6314054
## [7456,] 1.3874244
## [7457,] 1.8783406
## [7458,] 1.8397812
## [7459,] 0.3770432
## [7460,] 1.2974472
## [7461,] 2.6731891
## [7462,] 0.4536585
## [7463,] 1.0299606
## [7464,] 2.5707246
## [7465,] 0.6188657
## [7466,] 0.5400594
## [7467,] 0.6399545
## [7468,] 0.9041514
## [7469,] 1.1264551
## [7470,] 0.6631221
## [7471,] 0.8105786
## [7472,] 1.0514611
## [7473,] 1.5388898
## [7474,] 0.4280778
## [7475,] 1.3983275
## [7476,] 1.0587271
## [7477,] 1.1428208
## [7478,] 2.3469698
## [7479,] 0.5241871
## [7480,] 0.4886551
## [7481,] 0.8923019
## [7482,] 1.0354103
## [7483,] 1.6203011
## [7484,] 0.7820670
## [7485,] 3.0622310
## [7486,] 0.7851023
## [7487,] 0.9451064
## [7488,] 0.6898805
## [7489,] 1.4447888
## [7490,] 0.5496614
## [7491,] 0.8150806
## [7492,] 0.6354982
## [7493,] 2.0919255
## [7494,] 0.6346278
## [7495,] 0.3332864
## [7496,] 0.3567767
## [7497,] 4.1372322
## [7498,] 1.2654502
## [7499,] 1.0506812
## [7500,] 0.4609325
## [7501,] 2.4009867
## [7502,] 0.7637462
## [7503,] 1.2782394
## [7504,] 1.0067090
## [7505,] 0.5629201
## [7506,] 0.4023565
## [7507,] 0.7638089
## [7508,] 1.8704215
## [7509,] 1.1856693
## [7510,] 0.9205895
## [7511,] 1.2133642
## [7512,] 1.1544391
## [7513,] 0.4386027
## [7514,] 0.7513940
## [7515,] 2.4314886
## [7516,] 0.2842526
## [7517,] 0.7777632
## [7518,] 0.4213421
## [7519,] 1.3712087
## [7520,] 0.6389867
## [7521,] 1.3971541
## [7522,] 1.0805547
## [7523,] 0.3473618
## [7524,] 1.4190989
## [7525,] 0.8131389
## [7526,] 0.3746522
## [7527,] 0.7368617
## [7528,] 0.6230522
## [7529,] 1.3365620
## [7530,] 1.2188824
## [7531,] 1.3258753
## [7532,] 0.4353635
## [7533,] 0.5059111
## [7534,] 0.5991800
## [7535,] 0.9169679
## [7536,] 0.3272261
## [7537,] 1.4726259
## [7538,] 0.4303230
## [7539,] 0.8468518
## [7540,] 1.5835309
## [7541,] 0.4020698
## [7542,] 2.1789178
## [7543,] 1.0247803
## [7544,] 0.4489383
## [7545,] 2.1304058
## [7546,] 0.7782523
## [7547,] 0.4054561
## [7548,] 2.5932766
## [7549,] 0.4576362
## [7550,] 2.1530258
## [7551,] 0.9116406
## [7552,] 1.7004933
## [7553,] 1.3854346
## [7554,] 2.7044948
## [7555,] 1.9029199
## [7556,] 0.6486167
## [7557,] 0.9954910
## [7558,] 1.1059864
## [7559,] 2.1158375
## [7560,] 1.1330041
## [7561,] 0.5858847
## [7562,] 0.3766784
## [7563,] 1.2769800
## [7564,] 1.5662105
## [7565,] 0.7781926
## [7566,] 0.8786331
## [7567,] 1.9053820
## [7568,] 1.1018107
## [7569,] 1.4805576
## [7570,] 0.6870255
## [7571,] 1.7640419
## [7572,] 0.5121207
## [7573,] 1.7444794
## [7574,] 0.9741720
## [7575,] 1.0257382
## [7576,] 0.8633089
## [7577,] 0.5157615
## [7578,] 2.3674870
## [7579,] 0.7428037
## [7580,] 1.7826358
## [7581,] 0.3610811
## [7582,] 0.6493755
## [7583,] 0.8136369
## [7584,] 0.7558181
## [7585,] 0.7647805
## [7586,] 0.5217407
## [7587,] 0.4183871
## [7588,] 0.8197078
## [7589,] 1.2251607
## [7590,] 0.8768988
## [7591,] 0.4807701
## [7592,] 0.8524914
## [7593,] 1.6842861
## [7594,] 0.6711554
## [7595,] 0.9412788
## [7596,] 0.5003774
## [7597,] 0.8945342
## [7598,] 0.6430851
## [7599,] 0.5582367
## [7600,] 0.4907365
## [7601,] 0.4627873
## [7602,] 0.8293301
## [7603,] 0.9893136
## [7604,] 0.4149711
## [7605,] 1.5078383
## [7606,] 2.6165599
## [7607,] 4.0496586
## [7608,] 1.1397037
## [7609,] 0.8133506
## [7610,] 0.4692115
## [7611,] 0.7254555
## [7612,] 1.2289008
## [7613,] 2.2093437
## [7614,] 0.5745390
## [7615,] 1.8629786
## [7616,] 1.8919083
## [7617,] 1.4161112
## [7618,] 0.8340485
## [7619,] 2.5014386
## [7620,] 0.6040985
## [7621,] 0.6252092
## [7622,] 0.4946631
## [7623,] 0.6531411
## [7624,] 2.6556488
## [7625,] 0.9438305
## [7626,] 0.8316860
## [7627,] 0.6038110
## [7628,] 3.1676972
## [7629,] 1.0671498
## [7630,] 0.7258306
## [7631,] 0.4013582
## [7632,] 0.9353852
## [7633,] 0.8501651
## [7634,] 0.5205529
## [7635,] 0.3120962
## [7636,] 0.7086299
## [7637,] 0.3682077
## [7638,] 0.5422656
## [7639,] 0.8009317
## [7640,] 0.5369968
## [7641,] 0.8824605
## [7642,] 1.1633658
## [7643,] 0.8237631
## [7644,] 0.9353605
## [7645,] 0.4577277
## [7646,] 0.8088645
## [7647,] 0.7255968
## [7648,] 0.9195901
## [7649,] 0.9686319
## [7650,] 0.8269961
## [7651,] 0.5698346
## [7652,] 1.3547237
## [7653,] 0.5097068
## [7654,] 1.5674483
## [7655,] 0.7180008
## [7656,] 0.5600451
## [7657,] 0.7790205
## [7658,] 0.5450399
## [7659,] 0.6845555
## [7660,] 1.2027211
## [7661,] 0.4228985
## [7662,] 1.6960932
## [7663,] 0.4206004
## [7664,] 0.3821337
## [7665,] 0.4984134
## [7666,] 1.0296793
## [7667,] 1.1299168
## [7668,] 1.3003176
## [7669,] 0.8489584
## [7670,] 2.8228516
## [7671,] 0.6082340
## [7672,] 0.5962318
## [7673,] 0.8203213
## [7674,] 0.3555438
## [7675,] 1.3739261
## [7676,] 0.5313143
## [7677,] 0.5997608
## [7678,] 0.8422369
## [7679,] 0.9852759
## [7680,] 0.6816251
## [7681,] 1.1230784
## [7682,] 1.4873769
## [7683,] 1.0747082
## [7684,] 0.6808376
## [7685,] 1.1376939
## [7686,] 0.4293191
## [7687,] 0.5602583
## [7688,] 1.8684147
## [7689,] 3.4376644
## [7690,] 1.0168030
## [7691,] 1.3355659
## [7692,] 0.4559094
## [7693,] 0.4521963
## [7694,] 0.9280972
## [7695,] 0.2539241
## [7696,] 0.9063976
## [7697,] 0.6962128
## [7698,] 0.5750407
## [7699,] 0.4696898
## [7700,] 0.7600506
## [7701,] 1.4982731
## [7702,] 1.3128619
## [7703,] 0.7357828
## [7704,] 0.4741390
## [7705,] 0.4144728
## [7706,] 1.0461071
## [7707,] 0.7015345
## [7708,] 0.8693503
## [7709,] 0.6983760
## [7710,] 0.5652189
## [7711,] 1.0225548
## [7712,] 0.7455664
## [7713,] 0.5951037
## [7714,] 0.6034505
## [7715,] 0.5275278
## [7716,] 1.0904082
## [7717,] 2.2781793
## [7718,] 0.3713960
## [7719,] 0.7259696
## [7720,] 0.7517380
## [7721,] 0.3903973
## [7722,] 0.6299256
## [7723,] 0.7006248
## [7724,] 0.8745746
## [7725,] 0.5754568
## [7726,] 1.4435010
## [7727,] 0.9260270
## [7728,] 1.7781668
## [7729,] 0.6479009
## [7730,] 0.6100318
## [7731,] 0.7441326
## [7732,] 1.1279408
## [7733,] 0.9497748
## [7734,] 2.1441779
## [7735,] 1.7595851
## [7736,] 0.7441299
## [7737,] 1.1244570
## [7738,] 1.4128524
## [7739,] 0.5363206
## [7740,] 0.7038931
## [7741,] 0.4119327
## [7742,] 0.7164861
## [7743,] 0.7123403
## [7744,] 0.6991363
## [7745,] 1.6082516
## [7746,] 0.3994947
## [7747,] 0.5551191
## [7748,] 1.1040364
## [7749,] 1.3646956
## [7750,] 2.8005329
## [7751,] 2.4122471
## [7752,] 0.4729815
## [7753,] 1.3093673
## [7754,] 1.1953266
## [7755,] 1.6220067
## [7756,] 0.4135449
## [7757,] 1.3415134
## [7758,] 0.5312774
## [7759,] 1.6078331
## [7760,] 0.9055744
## [7761,] 3.4136962
## [7762,] 1.6147729
## [7763,] 0.6143087
## [7764,] 0.8376909
## [7765,] 1.0232754
## [7766,] 0.4504798
## [7767,] 1.9877758
## [7768,] 1.8139077
## [7769,] 0.5960993
## [7770,] 1.2275336
## [7771,] 0.9652797
## [7772,] 0.8569148
## [7773,] 1.1644996
## [7774,] 0.5943313
## [7775,] 0.5441845
## [7776,] 1.7376399
## [7777,] 0.4597929
## [7778,] 0.9249586
## [7779,] 1.5453700
## [7780,] 0.7421615
## [7781,] 0.6503357
## [7782,] 0.4190097
## [7783,] 0.1981741
## [7784,] 0.4650240
## [7785,] 2.4339309
## [7786,] 2.1527716
## [7787,] 0.9747915
## [7788,] 0.8266889
## [7789,] 0.4876738
## [7790,] 0.3389162
## [7791,] 0.4036663
## [7792,] 1.7446843
## [7793,] 3.1273622
## [7794,] 0.6844713
## [7795,] 0.6477518
## [7796,] 0.7555317
## [7797,] 1.0727869
## [7798,] 1.2870190
## [7799,] 0.8638857
## [7800,] 1.8323488
## [7801,] 0.5807677
## [7802,] 0.7675693
## [7803,] 0.4980370
## [7804,] 1.0474424
## [7805,] 0.6951121
## [7806,] 0.6195064
## [7807,] 0.4778586
## [7808,] 1.5124846
## [7809,] 0.7309394
## [7810,] 0.8800657
## [7811,] 0.6801065
## [7812,] 0.7695932
## [7813,] 2.3427390
## [7814,] 1.5555454
## [7815,] 0.4514449
## [7816,] 0.9923855
## [7817,] 1.2821074
## [7818,] 0.7481568
## [7819,] 0.5823402
## [7820,] 2.9970827
## [7821,] 0.5989844
## [7822,] 1.3946924
## [7823,] 1.2376935
## [7824,] 1.2058889
## [7825,] 1.8114041
## [7826,] 0.7589329
## [7827,] 1.0681393
## [7828,] 1.0400813
## [7829,] 0.6120269
## [7830,] 1.2240102
## [7831,] 1.2311628
## [7832,] 1.8326864
## [7833,] 2.5140143
## [7834,] 0.4851150
## [7835,] 0.7169398
## [7836,] 1.5535855
## [7837,] 0.8676553
## [7838,] 1.0009281
## [7839,] 1.8618778
## [7840,] 1.1712090
## [7841,] 0.5553298
## [7842,] 0.5797453
## [7843,] 0.8275497
## [7844,] 1.3099132
## [7845,] 0.5377110
## [7846,] 0.5414603
## [7847,] 0.8133875
## [7848,] 0.7358344
## [7849,] 2.5406776
## [7850,] 1.4258207
## [7851,] 1.8227951
## [7852,] 0.7267201
## [7853,] 0.4442802
## [7854,] 0.5796054
## [7855,] 0.3348246
## [7856,] 1.1747601
## [7857,] 0.7889711
## [7858,] 2.1762242
## [7859,] 1.8637748
## [7860,] 0.7341088
## [7861,] 1.7169547
## [7862,] 0.7165600
## [7863,] 0.9993569
## [7864,] 0.2786337
## [7865,] 0.3997355
## [7866,] 1.2304101
## [7867,] 0.6297762
## [7868,] 1.0270119
## [7869,] 0.6952676
## [7870,] 0.5450400
## [7871,] 0.6749557
## [7872,] 2.0201572
## [7873,] 0.7366844
## [7874,] 1.4992797
## [7875,] 1.2456490
## [7876,] 1.6713240
## [7877,] 0.5158778
## [7878,] 1.0828030
## [7879,] 0.4643178
## [7880,] 0.6320240
## [7881,] 2.6771063
## [7882,] 4.0463383
## [7883,] 0.5472201
## [7884,] 0.8108901
## [7885,] 1.2388766
## [7886,] 1.1466659
## [7887,] 1.8759908
## [7888,] 0.3870499
## [7889,] 1.2716240
## [7890,] 2.0076212
## [7891,] 1.5468133
## [7892,] 0.3724148
## [7893,] 0.4224263
## [7894,] 0.6877042
## [7895,] 0.6535002
## [7896,] 1.2797911
## [7897,] 0.9115639
## [7898,] 0.7161009
## [7899,] 0.7115512
## [7900,] 1.2284826
## [7901,] 0.5769646
## [7902,] 0.7699372
## [7903,] 0.3883797
## [7904,] 0.4797050
## [7905,] 0.9245130
## [7906,] 0.4399056
## [7907,] 0.7173992
## [7908,] 0.4654049
## [7909,] 0.7592086
## [7910,] 0.5123227
## [7911,] 1.8022572
## [7912,] 0.5705704
## [7913,] 0.2926799
## [7914,] 2.4231788
## [7915,] 0.7844433
## [7916,] 2.1757373
## [7917,] 1.7807097
## [7918,] 0.6080068
## [7919,] 1.3608753
## [7920,] 0.4306248
## [7921,] 0.7374203
## [7922,] 0.5841215
## [7923,] 0.5475776
## [7924,] 0.5873773
## [7925,] 1.2330251
## [7926,] 0.6922708
## [7927,] 0.6970931
## [7928,] 0.7758428
## [7929,] 0.5201719
## [7930,] 0.5403049
## [7931,] 0.5998704
## [7932,] 1.2152992
## [7933,] 0.5247130
## [7934,] 1.0935815
## [7935,] 0.7338387
## [7936,] 1.3814175
## [7937,] 0.6815168
## [7938,] 0.4358229
## [7939,] 0.9782848
## [7940,] 0.4027612
## [7941,] 0.5607540
## [7942,] 1.6659912
## [7943,] 0.8142564
## [7944,] 0.7077441
## [7945,] 0.3681042
## [7946,] 1.2425336
## [7947,] 0.2890613
## [7948,] 0.8223013
## [7949,] 0.6014344
## [7950,] 0.5071019
## [7951,] 0.7024108
## [7952,] 1.2505798
## [7953,] 0.8572954
## [7954,] 0.8287692
## [7955,] 1.5963535
## [7956,] 1.4203837
## [7957,] 0.9663784
## [7958,] 0.4853099
## [7959,] 0.8108678
## [7960,] 2.0387929
## [7961,] 2.6236228
## [7962,] 1.8532913
## [7963,] 0.7226167
## [7964,] 0.6113384
## [7965,] 0.6171655
## [7966,] 0.3575325
## [7967,] 0.4490155
## [7968,] 0.7747730
## [7969,] 1.0493841
## [7970,] 0.7009037
## [7971,] 0.4233947
## [7972,] 1.1387939
## [7973,] 0.9222813
## [7974,] 0.9705671
## [7975,] 0.5428133
## [7976,] 0.8846786
## [7977,] 1.3251494
## [7978,] 1.4681147
## [7979,] 1.3328409
## [7980,] 2.1891824
## [7981,] 0.3657630
## [7982,] 1.1617268
## [7983,] 0.7623076
## [7984,] 1.7839400
## [7985,] 0.6161429
## [7986,] 1.7262060
## [7987,] 1.0231388
## [7988,] 0.6638313
## [7989,] 0.6658365
## [7990,] 1.3970798
## [7991,] 0.9796100
## [7992,] 0.9764928
## [7993,] 1.1232716
## [7994,] 4.0099401
## [7995,] 0.4904693
## [7996,] 0.5395126
## [7997,] 1.3577605
## [7998,] 0.4048834
## [7999,] 0.4809888
## [8000,] 3.1273070
## [8001,] 2.5352364
## [8002,] 1.1687251
## [8003,] 0.8672328
## [8004,] 1.6219911
## [8005,] 0.4801431
## [8006,] 1.6496254
## [8007,] 0.7334231
## [8008,] 0.7900769
## [8009,] 1.4007866
## [8010,] 1.1573293
## [8011,] 0.8299773
## [8012,] 0.9882069
## [8013,] 0.3990399
## [8014,] 0.4296284
## [8015,] 1.2197623
## [8016,] 0.9531337
## [8017,] 0.8279194
## [8018,] 0.3579080
## [8019,] 0.4170088
## [8020,] 0.5024534
## [8021,] 0.4438395
## [8022,] 0.8529241
## [8023,] 0.5905948
## [8024,] 1.0211318
## [8025,] 2.3130426
## [8026,] 0.9349563
## [8027,] 0.8188274
## [8028,] 1.0999250
## [8029,] 0.8768988
## [8030,] 0.5896230
## [8031,] 0.5252928
## [8032,] 0.4859983
## [8033,] 0.7989517
## [8034,] 0.8487992
## [8035,] 1.2091649
## [8036,] 0.4378507
## [8037,] 0.6140534
## [8038,] 0.7402068
## [8039,] 0.6947116
## [8040,] 1.1228255
## [8041,] 0.6007067
## [8042,] 0.6582262
## [8043,] 0.7357633
## [8044,] 0.7447494
## [8045,] 0.7064858
## [8046,] 1.0849326
## [8047,] 0.5870911
## [8048,] 0.7191829
## [8049,] 1.3220734
## [8050,] 0.5064913
## [8051,] 2.6345614
## [8052,] 0.3187990
## [8053,] 0.6858105
## [8054,] 0.7255911
## [8055,] 0.9939035
## [8056,] 1.1266013
## [8057,] 0.6049601
## [8058,] 0.7197421
## [8059,] 0.4562260
## [8060,] 0.7163366
## [8061,] 0.3729214
## [8062,] 1.2234946
## [8063,] 0.4197305
## [8064,] 0.9935007
## [8065,] 0.7890804
## [8066,] 0.3846736
## [8067,] 0.3737526
## [8068,] 0.5388199
## [8069,] 0.4356834
## [8070,] 0.7781926
## [8071,] 0.7973247
## [8072,] 1.6600738
## [8073,] 1.0999250
## [8074,] 0.7885979
## [8075,] 2.0451658
## [8076,] 0.9133146
## [8077,] 1.5867532
## [8078,] 1.3421804
## [8079,] 0.4701577
## [8080,] 0.5118260
## [8081,] 3.5074427
## [8082,] 1.3713695
## [8083,] 0.7905840
## [8084,] 0.6542698
## [8085,] 0.7325919
## [8086,] 1.8867788
## [8087,] 0.3169869
## [8088,] 0.4187572
## [8089,] 0.9846713
## [8090,] 0.4928960
## [8091,] 0.8644340
## [8092,] 0.3624371
## [8093,] 0.5801969
## [8094,] 0.5687612
## [8095,] 0.6136174
## [8096,] 0.6420241
## [8097,] 0.6662884
## [8098,] 2.7507999
## [8099,] 2.1284658
## [8100,] 0.6119619
## [8101,] 0.5248522
## [8102,] 0.6020661
## [8103,] 2.3490209
## [8104,] 0.3836427
## [8105,] 1.1031236
## [8106,] 1.9910065
## [8107,] 2.0372285
## [8108,] 0.6015212
## [8109,] 0.7794103
## [8110,] 1.2282429
## [8111,] 1.0609191
## [8112,] 0.7655157
## [8113,] 0.3931936
## [8114,] 0.3969525
## [8115,] 0.2829738
## [8116,] 0.6558006
## [8117,] 0.3543684
## [8118,] 0.3497316
## [8119,] 0.8746278
## [8120,] 0.6291893
## [8121,] 1.2311000
## [8122,] 1.7182909
## [8123,] 1.2367244
## [8124,] 0.4624334
## [8125,] 0.5956142
## [8126,] 0.8110190
## [8127,] 1.1228460
## [8128,] 1.2675907
## [8129,] 0.5991397
## [8130,] 0.8547462
## [8131,] 0.8996265
## [8132,] 1.4376079
## [8133,] 0.5111841
## [8134,] 0.4135449
## [8135,] 1.9406726
## [8136,] 0.6461191
## [8137,] 0.7014605
## [8138,] 0.7516275
## [8139,] 0.5987981
## [8140,] 1.0354103
## [8141,] 1.1829940
## [8142,] 0.5901204
## [8143,] 1.2520161
## [8144,] 0.7716112
## [8145,] 0.8736688
## [8146,] 3.1716136
## [8147,] 2.5843511
## [8148,] 0.7051533
## [8149,] 1.0905705
## [8150,] 0.3739164
## [8151,] 0.7210346
## [8152,] 0.4828704
## [8153,] 0.7738827
## [8154,] 0.9007699
## [8155,] 1.2377904
## [8156,] 1.2022801
## [8157,] 0.6898762
## [8158,] 0.6077622
## [8159,] 0.6870449
## [8160,] 1.1712935
## [8161,] 1.0075998
## [8162,] 0.8719310
## [8163,] 0.4283890
## [8164,] 0.5528868
## [8165,] 0.7742739
## [8166,] 0.5817896
## [8167,] 0.9767276
## [8168,] 0.8196204
## [8169,] 0.6826390
## [8170,] 0.7720495
## [8171,] 0.4744949
## [8172,] 0.4044748
## [8173,] 1.6831524
## [8174,] 0.4449165
## [8175,] 1.0535113
## [8176,] 0.4651486
## [8177,] 1.8018272
## [8178,] 0.6125188
## [8179,] 0.8084848
## [8180,] 0.7237287
## [8181,] 0.4767439
## [8182,] 0.4982568
## [8183,] 0.9022758
## [8184,] 0.6338214
## [8185,] 0.4172082
## [8186,] 0.8593998
## [8187,] 1.6271547
## [8188,] 0.4906981
## [8189,] 0.6758525
## [8190,] 0.7665038
## [8191,] 1.1209297
## [8192,] 0.5065582
## [8193,] 3.2210289
## [8194,] 1.2391770
## [8195,] 0.9908774
## [8196,] 0.8627460
## [8197,] 1.7100376
## [8198,] 0.9469602
## [8199,] 3.1487458
## [8200,] 0.9184287
## [8201,] 1.3388212
## [8202,] 0.6034373
## [8203,] 0.5369588
## [8204,] 1.0777850
## [8205,] 0.4664070
## [8206,] 0.8133875
## [8207,] 0.5154503
## [8208,] 0.9894141
## [8209,] 1.1412032
## [8210,] 0.9520091
## [8211,] 0.4955823
## [8212,] 1.1304410
## [8213,] 0.3957017
## [8214,] 0.4680903
## [8215,] 1.1832380
## [8216,] 0.4678808
## [8217,] 0.9872853
## [8218,] 0.3096803
## [8219,] 0.8400232
## [8220,] 0.3048565
## [8221,] 0.6283598
## [8222,] 0.6218673
## [8223,] 1.7444581
## [8224,] 1.3750883
## [8225,] 1.2722838
## [8226,] 0.4467570
## [8227,] 0.4617243
## [8228,] 1.1551779
## [8229,] 1.3296882
## [8230,] 3.5417995
## [8231,] 0.8836414
## [8232,] 1.2118948
## [8233,] 0.5531192
## [8234,] 0.4938341
## [8235,] 0.5476855
## [8236,] 0.3140693
## [8237,] 1.1722672
## [8238,] 0.8504001
## [8239,] 1.4998244
## [8240,] 0.7867073
## [8241,] 0.7980383
## [8242,] 0.9027007
## [8243,] 1.6294977
## [8244,] 0.7858294
## [8245,] 2.5286545
## [8246,] 0.6465524
## [8247,] 0.6235414
## [8248,] 1.0542076
## [8249,] 0.4954699
## [8250,] 2.4114288
## [8251,] 0.5222283
## [8252,] 1.0223610
## [8253,] 0.7422835
## [8254,] 0.7986334
## [8255,] 1.3561826
## [8256,] 1.6269608
## [8257,] 0.7143077
## [8258,] 1.3255465
## [8259,] 0.9532358
## [8260,] 2.2227846
## [8261,] 1.8648410
## [8262,] 0.6241514
## [8263,] 1.2283896
## [8264,] 1.4262769
## [8265,] 0.6209182
## [8266,] 0.3557027
## [8267,] 1.9382401
## [8268,] 1.8233567
## [8269,] 0.3174948
## [8270,] 0.4962252
## [8271,] 1.0063420
## [8272,] 1.1594275
## [8273,] 1.5200652
## [8274,] 3.5749834
## [8275,] 4.1159162
## [8276,] 0.4668381
## [8277,] 0.5088190
## [8278,] 1.8996179
## [8279,] 1.1516422
## [8280,] 1.8145225
## [8281,] 3.3044835
## [8282,] 4.7192921
## [8283,] 1.6011892
## [8284,] 0.4820345
## [8285,] 0.3774904
## [8286,] 0.9814520
## [8287,] 0.5504622
## [8288,] 0.4648266
## [8289,] 0.7159970
## [8290,] 1.1446028
## [8291,] 0.6463323
## [8292,] 0.7820509
## [8293,] 0.5526380
## [8294,] 0.9104653
## [8295,] 1.3871880
## [8296,] 4.8216988
## [8297,] 2.0836164
## [8298,] 0.7514543
## [8299,] 0.4512610
## [8300,] 0.6328420
## [8301,] 0.8128670
## [8302,] 0.4790208
## [8303,] 0.6416590
## [8304,] 0.5249600
## [8305,] 0.9241722
## [8306,] 1.1061896
## [8307,] 0.8807022
## [8308,] 0.5760171
## [8309,] 2.5102899
## [8310,] 0.7251881
## [8311,] 0.5161710
## [8312,] 1.0395209
## [8313,] 0.2200353
## [8314,] 0.6828349
## [8315,] 6.1412306
## [8316,] 0.6477936
## [8317,] 2.5685940
## [8318,] 1.5753357
## [8319,] 0.6692203
## [8320,] 2.1210145
## [8321,] 0.6197468
## [8322,] 1.4311224
## [8323,] 0.8266281
## [8324,] 1.2766831
## [8325,] 0.6054662
## [8326,] 0.8541628
## [8327,] 0.6111072
## [8328,] 1.3233236
## [8329,] 0.8761361
## [8330,] 0.5439381
## [8331,] 0.4346267
## [8332,] 3.8108976
## [8333,] 2.1744593
## [8334,] 2.1000921
## [8335,] 0.7658148
## [8336,] 0.6493066
## [8337,] 0.6350518
## [8338,] 0.8066750
## [8339,] 0.8153492
## [8340,] 2.1102367
## [8341,] 1.0378156
## [8342,] 2.0178453
## [8343,] 1.4495351
## [8344,] 0.3954229
## [8345,] 2.5706247
## [8346,] 0.7476872
## [8347,] 2.1594911
## [8348,] 1.2408876
## [8349,] 0.8504051
## [8350,] 0.4748251
## [8351,] 1.7209664
## [8352,] 1.4545516
## [8353,] 1.0276414
## [8354,] 1.2340019
## [8355,] 1.0345294
## [8356,] 0.6162103
## [8357,] 1.2447263
## [8358,] 0.6081086
## [8359,] 0.8381742
## [8360,] 0.4047461
## [8361,] 1.3659017
## [8362,] 0.5091794
## [8363,] 2.6092535
## [8364,] 0.9463288
## [8365,] 0.7118118
## [8366,] 1.1902289
## [8367,] 0.8895272
## [8368,] 1.5361947
## [8369,] 0.5078768
## [8370,] 0.6156547
## [8371,] 1.2243004
## [8372,] 1.5479740
## [8373,] 0.9171534
## [8374,] 0.6038026
## [8375,] 5.2193814
## [8376,] 4.8810234
## [8377,] 1.3220339
## [8378,] 0.6266753
## [8379,] 1.3701602
## [8380,] 0.8886941
## [8381,] 0.5308881
## [8382,] 0.6964047
## [8383,] 0.6776986
## [8384,] 1.1760145
## [8385,] 0.5234099
## [8386,] 0.8554668
## [8387,] 1.8510242
## [8388,] 0.5839555
## [8389,] 0.9170337
## [8390,] 0.7691844
## [8391,] 0.6444603
## [8392,] 2.1803137
## [8393,] 2.5166556
## [8394,] 1.9299927
## [8395,] 1.1656721
## [8396,] 0.7142447
## [8397,] 0.5720336
## [8398,] 0.6585345
## [8399,] 0.7665866
## [8400,] 0.7527046
## [8401,] 1.3165770
## [8402,] 0.6410699
## [8403,] 2.9707478
## [8404,] 0.9463009
## [8405,] 1.0904369
## [8406,] 0.8514884
## [8407,] 0.6924090
## [8408,] 1.0361795
## [8409,] 0.3899501
## [8410,] 0.6491184
## [8411,] 0.5323929
## [8412,] 1.4338371
## [8413,] 0.4227243
## [8414,] 0.6147976
## [8415,] 0.9515810
## [8416,] 0.8937268
## [8417,] 0.8719424
## [8418,] 1.0230532
## [8419,] 0.4166997
## [8420,] 0.4191767
## [8421,] 0.6043944
## [8422,] 0.8004603
## [8423,] 0.5199028
## [8424,] 0.2441313
## [8425,] 1.0291469
## [8426,] 1.2304406
## [8427,] 1.0319863
## [8428,] 0.5196737
## [8429,] 0.8107851
## [8430,] 0.7873750
## [8431,] 0.5415857
## [8432,] 0.6795481
## [8433,] 0.2852179
## [8434,] 0.3867129
## [8435,] 2.1058189
## [8436,] 1.1569390
## [8437,] 1.1834216
## [8438,] 0.7393915
## [8439,] 0.9138177
## [8440,] 0.6487390
## [8441,] 0.6698707
## [8442,] 1.1905311
## [8443,] 1.6823434
## [8444,] 1.4036203
## [8445,] 0.6179090
## [8446,] 0.6044254
## [8447,] 1.3706768
## [8448,] 1.2274903
## [8449,] 0.5790485
## [8450,] 0.6424456
## [8451,] 0.4730473
## [8452,] 0.8523704
## [8453,] 0.6855492
## [8454,] 1.7176985
## [8455,] 0.3736084
## [8456,] 0.6958179
## [8457,] 0.7055694
## [8458,] 1.0726792
## [8459,] 0.9455899
## [8460,] 1.2604626
## [8461,] 0.6489115
## [8462,] 1.3320379
## [8463,] 0.9325306
## [8464,] 0.9607096
## [8465,] 0.6241249
## [8466,] 1.0955756
## [8467,] 0.3634130
## [8468,] 0.8278785
## [8469,] 1.9016633
## [8470,] 0.6180781
## [8471,] 0.5360650
## [8472,] 1.3378623
## [8473,] 0.9039775
## [8474,] 0.4746481
## [8475,] 1.6221351
## [8476,] 1.2823635
## [8477,] 1.0465976
## [8478,] 0.7503745
## [8479,] 0.6555912
## [8480,] 0.9386645
## [8481,] 0.4416127
## [8482,] 0.5109877
## [8483,] 1.0498003
## [8484,] 0.4102984
## [8485,] 1.5906239
## [8486,] 0.8283237
## [8487,] 0.8818331
## [8488,] 1.6868595
## [8489,] 0.6164339
## [8490,] 1.2591494
## [8491,] 0.3584832
## [8492,] 0.5246217
## [8493,] 0.5012726
## [8494,] 1.3022750
## [8495,] 0.8730017
## [8496,] 0.4685170
## [8497,] 0.9944514
## [8498,] 2.9949895
## [8499,] 0.4980370
## [8500,] 0.4041014
## [8501,] 2.1684587
## [8502,] 0.4819186
## [8503,] 0.8402336
## [8504,] 1.2616403
## [8505,] 0.4844050
## [8506,] 0.4701341
## [8507,] 0.4391174
## [8508,] 0.6077190
## [8509,] 0.4030207
## [8510,] 0.6832107
## [8511,] 1.6837667
## [8512,] 1.0419003
## [8513,] 1.3565209
## [8514,] 0.7816906
## [8515,] 2.5418548
## [8516,] 1.7691536
## [8517,] 0.9935764
## [8518,] 1.0691713
## [8519,] 1.1777863
## [8520,] 0.9863598
## [8521,] 0.9295568
## [8522,] 0.7200102
## [8523,] 0.7330680
## [8524,] 0.6418776
## [8525,] 2.0908520
## [8526,] 0.8475036
## [8527,] 0.4609040
## [8528,] 0.4968403
## [8529,] 3.1136853
## [8530,] 2.3904348
## [8531,] 0.6660779
## [8532,] 0.7887182
## [8533,] 0.8306652
## [8534,] 0.9364052
## [8535,] 0.8058045
## [8536,] 0.5906160
## [8537,] 0.8570256
## [8538,] 3.7688216
## [8539,] 0.8197083
## [8540,] 0.5624681
## [8541,] 0.5927908
## [8542,] 0.6420181
## [8543,] 0.4401150
## [8544,] 0.7627046
## [8545,] 1.1143222
## [8546,] 1.5560627
## [8547,] 0.6772169
## [8548,] 1.0240304
## [8549,] 0.5187594
## [8550,] 0.3960971
## [8551,] 0.8693403
## [8552,] 0.9517964
## [8553,] 0.3233347
## [8554,] 0.9929116
## [8555,] 0.4174244
## [8556,] 0.3725256
## [8557,] 1.8039254
## [8558,] 0.7000309
## [8559,] 3.4920951
## [8560,] 1.6719594
## [8561,] 0.6132406
## [8562,] 0.5225939
## [8563,] 0.6829346
## [8564,] 0.6820892
## [8565,] 0.4464091
## [8566,] 0.4507284
## [8567,] 0.8018143
## [8568,] 1.0950695
## [8569,] 1.8507589
## [8570,] 0.9982448
## [8571,] 0.7195043
## [8572,] 0.9753766
## [8573,] 1.1263687
## [8574,] 1.2359760
## [8575,] 0.8525077
## [8576,] 0.9273560
## [8577,] 0.7628847
## [8578,] 0.6293241
## [8579,] 0.8277925
## [8580,] 0.7753802
## [8581,] 1.0239699
## [8582,] 0.9127412
## [8583,] 0.3775458
## [8584,] 0.6712812
## [8585,] 0.5123702
## [8586,] 0.5569706
## [8587,] 0.6513627
## [8588,] 1.1143189
## [8589,] 0.3722986
## [8590,] 0.4879935
## [8591,] 0.3817201
## [8592,] 0.7677976
## [8593,] 0.4181159
## [8594,] 1.6179107
## [8595,] 0.5569273
## [8596,] 0.3214915
## [8597,] 0.5051379
## [8598,] 0.7144701
## [8599,] 1.1938507
## [8600,] 0.5052291
## [8601,] 2.1539164
## [8602,] 0.6200928
## [8603,] 0.5366892
## [8604,] 1.4833150
## [8605,] 0.3523668
## [8606,] 1.7470938
## [8607,] 1.3109829
## [8608,] 0.6677746
## [8609,] 1.0364999
## [8610,] 0.5269243
## [8611,] 0.4243222
## [8612,] 1.9855715
## [8613,] 0.2521190
## [8614,] 0.4891154
## [8615,] 0.9922442
## [8616,] 0.7597092
## [8617,] 0.8573554
## [8618,] 1.1739477
## [8619,] 0.9298502
## [8620,] 0.6401071
## [8621,] 1.2689198
## [8622,] 0.4311322
## [8623,] 0.3974165
## [8624,] 0.7672877
## [8625,] 0.8508771
## [8626,] 0.5912609
## [8627,] 0.7838397
## [8628,] 0.9161063
## [8629,] 0.4213165
## [8630,] 0.8895398
## [8631,] 0.5736446
## [8632,] 0.3278591
## [8633,] 0.5090008
## [8634,] 0.9327395
## [8635,] 1.3817024
## [8636,] 1.4049790
## [8637,] 1.1906362
## [8638,] 0.5345734
## [8639,] 0.3401423
## [8640,] 0.2076928
## [8641,] 0.7473088
## [8642,] 0.7202502
## [8643,] 0.4315085
## [8644,] 0.4366007
## [8645,] 0.7812796
## [8646,] 1.1748476
## [8647,] 0.7414607
## [8648,] 1.1698472
## [8649,] 0.7784444
## [8650,] 1.2578927
## [8651,] 1.2357840
## [8652,] 0.4635149
## [8653,] 0.4602629
## [8654,] 0.6807202
## [8655,] 0.7010287
## [8656,] 0.6391540
## [8657,] 0.8029146
## [8658,] 0.7676703
## [8659,] 0.9201995
## [8660,] 0.3434921
## [8661,] 0.7659717
## [8662,] 0.3766397
## [8663,] 0.4444357
## [8664,] 1.0433525
## [8665,] 0.5534295
## [8666,] 0.6068937
## [8667,] 0.7489908
## [8668,] 0.4487832
## [8669,] 0.5985617
## [8670,] 1.0622981
## [8671,] 0.7684592
## [8672,] 1.4273811
## [8673,] 0.6544980
## [8674,] 1.6848515
## [8675,] 0.6730458
## [8676,] 0.9355707
## [8677,] 1.7970353
## [8678,] 1.2353788
## [8679,] 0.7791109
## [8680,] 0.9537553
## [8681,] 1.4924636
## [8682,] 1.2669618
## [8683,] 2.3484018
## [8684,] 0.3497417
## [8685,] 0.5841215
## [8686,] 0.8494745
## [8687,] 0.3971801
## [8688,] 0.6394694
## [8689,] 1.1423009
## [8690,] 0.9883013
## [8691,] 0.4713579
## [8692,] 0.3870456
## [8693,] 1.0408938
## [8694,] 4.8216988
## [8695,] 1.7770528
## [8696,] 0.9890027
## [8697,] 1.2788610
## [8698,] 0.9045665
## [8699,] 0.8840030
## [8700,] 1.0958432
## [8701,] 0.6938537
## [8702,] 1.3375211
## [8703,] 0.7486396
## [8704,] 1.2283030
## [8705,] 0.7722787
## [8706,] 0.4560182
## [8707,] 0.8551223
## [8708,] 0.8474948
## [8709,] 0.6199470
## [8710,] 0.8050564
## [8711,] 0.9358202
## [8712,] 1.0387360
## [8713,] 2.3429692
## [8714,] 1.1611440
## [8715,] 0.6665192
## [8716,] 1.1614084
## [8717,] 1.2898840
## [8718,] 0.6406867
## [8719,] 1.4703316
## [8720,] 0.7136541
## [8721,] 0.5948607
## [8722,] 0.7101524
## [8723,] 0.3534509
## [8724,] 0.9809278
## [8725,] 1.5922890
## [8726,] 1.0020222
## [8727,] 2.6199807
## [8728,] 0.6326733
## [8729,] 0.4040994
## [8730,] 0.6000271
## [8731,] 3.8094698
## [8732,] 0.4574813
## [8733,] 0.6685005
## [8734,] 5.4861825
## [8735,] 0.5450922
## [8736,] 0.6230339
## [8737,] 0.5900004
## [8738,] 0.6870255
## [8739,] 0.4558549
## [8740,] 1.6513514
## [8741,] 0.8048535
## [8742,] 1.1885760
## [8743,] 1.0383457
## [8744,] 0.6746723
## [8745,] 0.5769598
## [8746,] 1.1788605
## [8747,] 1.2000867
## [8748,] 1.2272957
## [8749,] 0.6014344
## [8750,] 0.9035563
## [8751,] 0.7799020
## [8752,] 2.3586813
## [8753,] 0.4241044
## [8754,] 2.3600710
## [8755,] 0.7882346
## [8756,] 0.8467975
## [8757,] 1.4109505
## [8758,] 0.3822112
## [8759,] 0.5150202
## [8760,] 0.8637876
## [8761,] 0.2916324
## [8762,] 0.8082858
## [8763,] 0.3770281
## [8764,] 0.8126693
## [8765,] 0.5392440
## [8766,] 0.6892620
## [8767,] 1.7129942
## [8768,] 0.6014297
## [8769,] 0.9234408
## [8770,] 1.1542737
## [8771,] 1.0270679
## [8772,] 1.6615418
## [8773,] 0.5473321
## [8774,] 0.4491024
## [8775,] 0.9610647
## [8776,] 1.2430471
## [8777,] 0.3910820
## [8778,] 1.3823039
## [8779,] 2.9069824
## [8780,] 0.5680249
## [8781,] 0.5815915
## [8782,] 0.5780519
## [8783,] 0.6687420
## [8784,] 0.8999384
## [8785,] 0.4795772
## [8786,] 1.1679613
## [8787,] 1.9062293
## [8788,] 0.4989389
## [8789,] 1.3986039
## [8790,] 0.8249448
## [8791,] 0.9710947
## [8792,] 0.5711269
## [8793,] 0.6475460
## [8794,] 0.6051381
## [8795,] 0.6269551
## [8796,] 1.1622678
## [8797,] 1.0852556
## [8798,] 1.1986344
## [8799,] 1.2928134
## [8800,] 0.4392441
## [8801,] 0.9346252
## [8802,] 0.8451885
## [8803,] 0.7762691
## [8804,] 0.3629800
## [8805,] 0.4680605
## [8806,] 0.4079741
## [8807,] 1.6134858
## [8808,] 0.6678809
## [8809,] 0.7994981
## [8810,] 1.0697676
## [8811,] 0.7198204
## [8812,] 2.3396141
## [8813,] 0.6873340
## [8814,] 0.3845153
## [8815,] 0.2515911
## [8816,] 3.3408330
## [8817,] 0.7888782
## [8818,] 0.7138878
## [8819,] 1.4656484
## [8820,] 1.9441596
## [8821,] 0.4170706
## [8822,] 0.5890510
## [8823,] 1.7258537
## [8824,] 0.5251691
## [8825,] 1.0471350
## [8826,] 0.6344940
## [8827,] 1.7552059
## [8828,] 1.8224375
## [8829,] 0.2988947
## [8830,] 1.5181883
## [8831,] 0.9968041
## [8832,] 0.5254816
## [8833,] 0.5248726
## [8834,] 1.9626762
## [8835,] 0.6531902
## [8836,] 0.8013065
## [8837,] 1.2510029
## [8838,] 2.3027644
## [8839,] 0.3599745
## [8840,] 0.8042251
## [8841,] 1.6953240
## [8842,] 0.6709550
## [8843,] 0.6433876
## [8844,] 0.4237727
## [8845,] 0.7047952
## [8846,] 0.4125728
## [8847,] 0.7733541
## [8848,] 1.5261631
## [8849,] 1.9476036
## [8850,] 1.1490080
## [8851,] 0.8252018
## [8852,] 0.4912714
## [8853,] 0.7829154
## [8854,] 0.8219481
## [8855,] 0.8564628
## [8856,] 0.8248661
## [8857,] 0.9614134
## [8858,] 1.7276706
## [8859,] 1.4364743
## [8860,] 0.7682821
## [8861,] 0.3974291
## [8862,] 0.9730907
## [8863,] 0.5487857
## [8864,] 1.9682116
## [8865,] 0.4540889
## [8866,] 0.6903175
## [8867,] 0.5634554
## [8868,] 4.3670629
## [8869,] 0.8076979
## [8870,] 0.8249370
## [8871,] 1.8187150
## [8872,] 0.3804593
## [8873,] 2.1127376
## [8874,] 0.6287065
## [8875,] 1.1493861
## [8876,] 2.5468437
## [8877,] 1.1523640
## [8878,] 0.7423847
## [8879,] 0.6438052
## [8880,] 1.8520543
## [8881,] 0.6835143
## [8882,] 0.4253242
## [8883,] 0.6121742
## [8884,] 0.6571708
## [8885,] 0.9877399
## [8886,] 0.8781852
## [8887,] 2.9136848
## [8888,] 0.4289798
## [8889,] 0.9143141
## [8890,] 2.5379784
## [8891,] 0.8104773
## [8892,] 1.5337435
## [8893,] 0.4265425
## [8894,] 0.7743336
## [8895,] 3.9138621
## [8896,] 0.6918331
## [8897,] 0.4296289
## [8898,] 0.6508781
## [8899,] 0.4471750
## [8900,] 2.0197738
## [8901,] 0.6882419
## [8902,] 0.3765669
## [8903,] 0.6734398
## [8904,] 0.9169670
## [8905,] 2.6128152
## [8906,] 1.0727845
## [8907,] 0.5711881
## [8908,] 0.8350080
## [8909,] 0.6500400
## [8910,] 0.6188157
## [8911,] 0.6618072
## [8912,] 1.2444634
## [8913,] 3.0352220
## [8914,] 0.3846736
## [8915,] 0.6170141
## [8916,] 0.8561121
## [8917,] 0.4529777
## [8918,] 0.2881904
## [8919,] 1.6212174
## [8920,] 3.2334045
## [8921,] 1.2630902
## [8922,] 1.1747474
## [8923,] 1.0636512
## [8924,] 4.4773909
## [8925,] 1.0657395
## [8926,] 1.1471883
## [8927,] 0.9219579
## [8928,] 0.8399832
## [8929,] 0.4624428
## [8930,] 0.3618967
## [8931,] 1.5089727
## [8932,] 0.8524644
## [8933,] 0.4556936
## [8934,] 0.5359490
## [8935,] 1.0775447
## [8936,] 1.0277313
## [8937,] 1.4684118
## [8938,] 0.7407348
## [8939,] 0.7239987
## [8940,] 0.7110732
## [8941,] 2.0995127
## [8942,] 1.8846329
## [8943,] 0.7264708
## [8944,] 0.4719096
## [8945,] 0.3895890
## [8946,] 0.9437426
## [8947,] 1.1919608
## [8948,] 0.7366142
## [8949,] 0.7119710
## [8950,] 1.2063843
## [8951,] 0.7331261
## [8952,] 0.4574703
## [8953,] 1.0838879
## [8954,] 0.4547444
## [8955,] 1.5271544
## [8956,] 0.7878819
## [8957,] 0.6525419
## [8958,] 1.2834277
## [8959,] 0.5251691
## [8960,] 0.6240300
## [8961,] 1.2352686
## [8962,] 1.8074389
## [8963,] 0.9312385
## [8964,] 0.6564045
## [8965,] 1.0448604
## [8966,] 0.8606095
## [8967,] 0.9699728
## [8968,] 0.5923201
## [8969,] 0.7518804
## [8970,] 1.3082814
## [8971,] 0.3856501
## [8972,] 0.4603964
## [8973,] 1.1431589
## [8974,] 0.7657687
## [8975,] 1.2419949
## [8976,] 1.1779789
## [8977,] 1.1829940
## [8978,] 0.8531984
## [8979,] 0.7905645
## [8980,] 0.5075808
## [8981,] 1.2720344
## [8982,] 0.5608646
## [8983,] 0.6255722
## [8984,] 0.5207021
## [8985,] 1.0224100
## [8986,] 0.8003225
## [8987,] 2.4252557
## [8988,] 0.7969744
## [8989,] 0.3471269
## [8990,] 1.9027436
## [8991,] 1.7129942
## [8992,] 0.9808112
## [8993,] 0.7852744
## [8994,] 0.4200811
## [8995,] 0.8354777
## [8996,] 1.4131998
## [8997,] 0.5610121
## [8998,] 3.1518666
## [8999,] 1.4671273
## [9000,] 1.0906900
## [9001,] 0.7973683
## [9002,] 0.3253205
## [9003,] 0.6823041
## [9004,] 0.5174445
## [9005,] 0.8731128
## [9006,] 0.6118722
## [9007,] 0.4016427
## [9008,] 1.0022183
## [9009,] 0.9560611
## [9010,] 3.6977977
## [9011,] 0.8883352
## [9012,] 1.1653802
## [9013,] 0.8198953
## [9014,] 0.9068771
## [9015,] 2.0092498
## [9016,] 0.6139248
## [9017,] 0.7199852
## [9018,] 0.6101476
## [9019,] 0.6940783
## [9020,] 3.6382093
## [9021,] 1.0242767
## [9022,] 3.0454811
## [9023,] 0.9584945
## [9024,] 1.2630444
## [9025,] 0.9851941
## [9026,] 0.6964344
## [9027,] 0.5940260
## [9028,] 1.2306337
## [9029,] 0.7331132
## [9030,] 5.0767883
## [9031,] 1.8780396
## [9032,] 1.8416853
## [9033,] 0.4847285
## [9034,] 0.5011377
## [9035,] 0.7082738
## [9036,] 0.5904052
## [9037,] 1.9668748
## [9038,] 1.9624258
## [9039,] 0.7602479
## [9040,] 0.9011393
## [9041,] 1.7328839
## [9042,] 1.2879538
## [9043,] 0.6554449
## [9044,] 0.4695502
## [9045,] 0.4640376
## [9046,] 0.7480919
## [9047,] 1.4420781
## [9048,] 1.2105928
## [9049,] 0.4887060
## [9050,] 2.1688348
## [9051,] 1.5401869
## [9052,] 0.5711269
## [9053,] 1.5272482
## [9054,] 0.6466197
## [9055,] 0.2565833
## [9056,] 0.4456603
## [9057,] 0.6184666
## [9058,] 1.0669545
## [9059,] 1.2320003
## [9060,] 0.8902169
## [9061,] 1.9955565
## [9062,] 4.2820413
## [9063,] 0.7797812
## [9064,] 0.9232315
## [9065,] 1.0812508
## [9066,] 0.3736171
## [9067,] 0.9700199
## [9068,] 1.2423199
## [9069,] 0.9410713
## [9070,] 0.4078612
## [9071,] 1.1912901
## [9072,] 1.5850726
## [9073,] 0.7023376
## [9074,] 0.6247659
## [9075,] 0.6202819
## [9076,] 0.7248565
## [9077,] 0.4963473
## [9078,] 0.4630567
## [9079,] 0.5717711
## [9080,] 0.9055686
## [9081,] 1.4523347
## [9082,] 1.9917753
## [9083,] 0.8779338
## [9084,] 0.8249448
## [9085,] 0.4638000
## [9086,] 0.3214283
## [9087,] 0.6576098
## [9088,] 0.8916524
## [9089,] 5.4648506
## [9090,] 0.8415306
## [9091,] 1.5270349
## [9092,] 0.7964171
## [9093,] 0.6492618
## [9094,] 0.7162001
## [9095,] 0.5322534
## [9096,] 0.4643324
## [9097,] 0.4014670
## [9098,] 0.8710575
## [9099,] 1.3068906
## [9100,] 0.5968404
## [9101,] 1.9894964
## [9102,] 0.9221973
## [9103,] 0.8759358
## [9104,] 2.1989791
## [9105,] 0.5242837
## [9106,] 0.7488817
## [9107,] 0.2382446
## [9108,] 1.7263091
## [9109,] 0.6324881
## [9110,] 0.6441541
## [9111,] 0.5333779
## [9112,] 0.9331429
## [9113,] 0.6360675
## [9114,] 0.8318808
## [9115,] 0.6587984
## [9116,] 2.3707325
## [9117,] 2.9087416
## [9118,] 0.8318950
## [9119,] 0.5181072
## [9120,] 0.7962161
## [9121,] 0.7474986
## [9122,] 1.6492834
## [9123,] 0.4351778
## [9124,] 2.0177468
## [9125,] 0.7672912
## [9126,] 0.5581302
## [9127,] 0.5148203
## [9128,] 0.4521341
## [9129,] 1.9916421
## [9130,] 1.0945505
## [9131,] 0.8778502
## [9132,] 0.3998911
## [9133,] 0.8078629
## [9134,] 0.9328562
## [9135,] 0.6436009
## [9136,] 0.7981547
## [9137,] 0.8233775
## [9138,] 1.3186373
## [9139,] 0.6920081
## [9140,] 1.5828560
## [9141,] 0.8758012
## [9142,] 1.0799782
## [9143,] 0.6610041
## [9144,] 1.3324326
## [9145,] 0.6626090
## [9146,] 0.7141087
## [9147,] 0.3682077
## [9148,] 0.5764756
## [9149,] 0.9801315
## [9150,] 0.5789080
## [9151,] 0.6259467
## [9152,] 0.8199736
## [9153,] 1.4583752
## [9154,] 1.2633569
## [9155,] 0.4742760
## [9156,] 1.1058513
## [9157,] 0.5045818
## [9158,] 0.4898641
## [9159,] 1.9211281
## [9160,] 1.4916273
## [9161,] 1.6538992
## [9162,] 0.9209567
## [9163,] 1.5702601
## [9164,] 2.4571740
## [9165,] 0.9264934
## [9166,] 1.2146193
## [9167,] 0.3872548
## [9168,] 0.8818785
## [9169,] 1.4560985
## [9170,] 0.4781226
## [9171,] 0.7542047
## [9172,] 0.9311094
## [9173,] 0.6612282
## [9174,] 1.7084598
## [9175,] 1.0876249
## [9176,] 0.5122748
## [9177,] 1.0136477
## [9178,] 2.9625343
## [9179,] 0.8025099
## [9180,] 0.9610537
## [9181,] 0.5927281
## [9182,] 0.5573503
## [9183,] 0.7876836
## [9184,] 3.7874948
## [9185,] 1.0256705
## [9186,] 0.5073068
## [9187,] 2.1086007
## [9188,] 0.5092874
## [9189,] 0.3321275
## [9190,] 0.7042504
## [9191,] 0.8963053
## [9192,] 1.2951019
## [9193,] 1.2158198
## [9194,] 0.5128260
## [9195,] 0.5156529
## [9196,] 0.6781774
## [9197,] 1.3806337
## [9198,] 0.9979495
## [9199,] 0.4739544
## [9200,] 1.4467997
## [9201,] 1.2274124
## [9202,] 2.0056280
## [9203,] 1.0447978
## [9204,] 0.8170067
## [9205,] 0.4687411
## [9206,] 0.9318104
## [9207,] 0.4523762
## [9208,] 2.5781516
## [9209,] 0.7918843
## [9210,] 0.3864091
## [9211,] 0.6206922
## [9212,] 0.9138079
## [9213,] 0.4091345
## [9214,] 0.9726022
## [9215,] 2.3254405
## [9216,] 0.7125992
## [9217,] 0.5564324
## [9218,] 1.1707108
## [9219,] 0.4754190
## [9220,] 0.6203028
## [9221,] 0.6559746
## [9222,] 0.5937145
## [9223,] 0.9360555
## [9224,] 0.8850126
## [9225,] 1.3499930
## [9226,] 0.9051176
## [9227,] 1.6348794
## [9228,] 1.6504356
## [9229,] 1.1124184
## [9230,] 0.7334244
## [9231,] 1.5056237
## [9232,] 0.7201509
## [9233,] 1.1571225
## [9234,] 1.0090770
## [9235,] 1.0068643
## [9236,] 1.0135786
## [9237,] 0.9298692
## [9238,] 0.3936618
## [9239,] 0.3830554
## [9240,] 1.0337225
## [9241,] 0.3620295
## [9242,] 0.6531437
## [9243,] 0.5288655
## [9244,] 1.1683217
## [9245,] 1.2629724
## [9246,] 0.4942682
## [9247,] 2.8359202
## [9248,] 0.5385183
## [9249,] 1.1206499
## [9250,] 0.8994071
## [9251,] 0.7507453
## [9252,] 0.4637668
## [9253,] 0.7844809
## [9254,] 0.4501519
## [9255,] 0.4518300
## [9256,] 0.6970981
## [9257,] 0.4946584
## [9258,] 0.8239273
## [9259,] 1.1942855
## [9260,] 0.7800759
## [9261,] 0.8836230
## [9262,] 0.6424045
## [9263,] 0.9276443
## [9264,] 0.9834775
## [9265,] 1.3253223
## [9266,] 2.4619540
## [9267,] 1.8773585
## [9268,] 0.6806885
## [9269,] 0.4449786
## [9270,] 1.3907068
## [9271,] 1.0979449
## [9272,] 0.5540112
## [9273,] 0.8590978
## [9274,] 0.6227031
## [9275,] 2.7595430
## [9276,] 1.9144169
## [9277,] 1.9550202
## [9278,] 0.4797356
## [9279,] 0.7690734
## [9280,] 0.3423711
## [9281,] 0.4292005
## [9282,] 0.5991288
## [9283,] 0.9495549
## [9284,] 2.0408928
## [9285,] 1.0164606
## [9286,] 0.5970480
## [9287,] 0.6889762
## [9288,] 0.9068993
## [9289,] 2.7935304
## [9290,] 1.2574097
## [9291,] 1.8201230
## [9292,] 0.8492165
## [9293,] 2.6599346
## [9294,] 0.9115823
## [9295,] 0.6433029
## [9296,] 0.5446871
## [9297,] 0.6822837
## [9298,] 0.8979736
## [9299,] 0.7601762
## [9300,] 0.5513387
## [9301,] 0.7810674
## [9302,] 1.0509341
## [9303,] 0.5754313
## [9304,] 0.5258405
## [9305,] 0.7562338
## [9306,] 0.6119308
## [9307,] 1.3437968
## [9308,] 0.9186360
## [9309,] 0.7512535
## [9310,] 1.2468857
## [9311,] 0.7461839
## [9312,] 0.9490740
## [9313,] 0.6120676
## [9314,] 1.6131906
## [9315,] 0.6307760
## [9316,] 0.5817926
## [9317,] 0.8394908
## [9318,] 1.1891222
## [9319,] 0.7599775
## [9320,] 0.7063296
## [9321,] 1.1230531
## [9322,] 0.3804968
## [9323,] 0.8645760
## [9324,] 0.6519282
## [9325,] 0.8210611
## [9326,] 0.4511877
## [9327,] 0.8472970
## [9328,] 0.6365080
## [9329,] 2.7738727
## [9330,] 0.9876934
## [9331,] 1.4408437
## [9332,] 0.4894205
## [9333,] 0.4910833
## [9334,] 1.0103956
## [9335,] 0.8076734
## [9336,] 0.5249130
## [9337,] 0.5937145
## [9338,] 0.4755492
## [9339,] 0.3989335
## [9340,] 0.9097714
## [9341,] 0.7603794
## [9342,] 1.3552716
## [9343,] 2.2340195
## [9344,] 0.5413585
## [9345,] 1.3526881
## [9346,] 1.1533889
## [9347,] 0.8383899
## [9348,] 0.5773756
## [9349,] 0.5852949
## [9350,] 0.9216103
## [9351,] 0.5821387
## [9352,] 0.4556142
## [9353,] 0.5809413
## [9354,] 0.6272937
## [9355,] 0.4672851
## [9356,] 0.7632228
## [9357,] 0.3976678
## [9358,] 0.5936941
## [9359,] 0.9007052
## [9360,] 0.5441195
## [9361,] 0.7529782
## [9362,] 0.6369882
## [9363,] 0.5587419
## [9364,] 1.0216582
## [9365,] 0.8523900
## [9366,] 0.6613930
## [9367,] 0.8734381
## [9368,] 0.7569647
## [9369,] 0.4057328
## [9370,] 0.3913625
## [9371,] 0.6039119
## [9372,] 0.6057994
## [9373,] 1.4160460
## [9374,] 0.8659980
## [9375,] 0.4232522
## [9376,] 0.6415359
## [9377,] 0.3936789
## [9378,] 0.7451168
## [9379,] 0.5469293
## [9380,] 0.6549077
## [9381,] 1.2465274
## [9382,] 4.8472383
## [9383,] 0.5831153
## [9384,] 0.9434964
## [9385,] 1.4988856
## [9386,] 0.5190912
## [9387,] 0.9980062
## [9388,] 1.6922413
## [9389,] 1.3714280
## [9390,] 0.5892077
## [9391,] 0.5968715
## [9392,] 1.1641946
## [9393,] 0.8822510
## [9394,] 0.5506076
## [9395,] 0.8536467
## [9396,] 0.4052292
## [9397,] 1.9136129
## [9398,] 1.9317162
## [9399,] 0.8002849
## [9400,] 0.5045818
## [9401,] 2.2457504
## [9402,] 0.4737736
## [9403,] 1.4385996
## [9404,] 1.4253540
## [9405,] 1.4779418
## [9406,] 0.3221458
## [9407,] 0.7177400
## [9408,] 0.9140512
## [9409,] 0.7899448
## [9410,] 4.8315155
## [9411,] 0.5260481
## [9412,] 0.5256684
## [9413,] 0.5252229
## [9414,] 2.0720234
## [9415,] 0.4774297
## [9416,] 0.2065553
## [9417,] 1.0692137
## [9418,] 0.4451213
## [9419,] 0.8314987
## [9420,] 0.7567221
## [9421,] 0.5447624
## [9422,] 0.7010795
## [9423,] 0.7799512
## [9424,] 1.2566821
## [9425,] 0.6930010
## [9426,] 1.5709766
## [9427,] 0.5217837
## [9428,] 1.1664383
## [9429,] 1.8151995
## [9430,] 0.6377065
## [9431,] 1.3009030
## [9432,] 1.8976174
## [9433,] 1.7674151
## [9434,] 1.2032262
## [9435,] 0.9534300
## [9436,] 0.6154526
## [9437,] 0.4842266
## [9438,] 0.6979866
## [9439,] 0.6465220
## [9440,] 0.8882011
## [9441,] 1.3240091
## [9442,] 0.6429149
## [9443,] 6.6747479
## [9444,] 0.9858426
## [9445,] 2.3206713
## [9446,] 0.8406898
## [9447,] 1.5546046
## [9448,] 1.0944802
## [9449,] 0.9392996
## [9450,] 0.5401297
## [9451,] 1.0452876
## [9452,] 1.3327552
## [9453,] 1.3649632
## [9454,] 0.3670661
## [9455,] 0.8778282
## [9456,] 0.6636873
## [9457,] 0.5990034
## [9458,] 0.6336556
## [9459,] 0.8089534
## [9460,] 0.5648140
## [9461,] 1.0705829
## [9462,] 1.0652352
## [9463,] 3.2690295
## [9464,] 0.5194743
## [9465,] 1.2636702
## [9466,] 1.3002839
## [9467,] 1.2032134
## [9468,] 2.9346307
## [9469,] 0.7869003
## [9470,] 2.2336924
## [9471,] 0.4668878
## [9472,] 1.5439658
## [9473,] 0.6806783
## [9474,] 1.2630444
## [9475,] 0.6953167
## [9476,] 0.7679984
## [9477,] 0.6164826
## [9478,] 1.7408472
## [9479,] 0.2551485
## [9480,] 1.1388864
## [9481,] 0.9027863
## [9482,] 0.8742250
## [9483,] 0.4461709
## [9484,] 2.4192522
## [9485,] 0.4523762
## [9486,] 2.0163394
## [9487,] 0.5193962
## [9488,] 0.3810767
## [9489,] 0.6394706
## [9490,] 0.4314932
## [9491,] 1.0633883
## [9492,] 0.5575864
## [9493,] 1.1163544
## [9494,] 2.0081151
## [9495,] 0.7719641
## [9496,] 1.5615750
## [9497,] 0.7335207
## [9498,] 0.4680332
## [9499,] 0.3595463
## [9500,] 0.3658182
## [9501,] 0.7936078
## [9502,] 0.4840875
## [9503,] 1.1586597
## [9504,] 2.6477989
## [9505,] 0.6031909
## [9506,] 0.8308915
## [9507,] 0.7054376
## [9508,] 0.5262219
## [9509,] 0.5530639
## [9510,] 0.3506332
## [9511,] 1.2556046
## [9512,] 1.1894599
## [9513,] 0.1712931
## [9514,] 0.8861051
## [9515,] 0.7700468
## [9516,] 0.7309329
## [9517,] 0.4917679
## [9518,] 1.4673678
## [9519,] 0.3400653
## [9520,] 0.6942149
## [9521,] 0.7136052
## [9522,] 0.5023585
## [9523,] 2.6535328
## [9524,] 0.7241396
## [9525,] 0.7589135
## [9526,] 0.7548055
## [9527,] 0.9247395
## [9528,] 2.7236294
## [9529,] 0.8951075
## [9530,] 0.5980113
## [9531,] 1.0893018
## [9532,] 0.9951381
## [9533,] 0.6950703
## [9534,] 0.6142586
## [9535,] 0.6499452
## [9536,] 1.2334596
## [9537,] 0.7657900
## [9538,] 4.7192921
## [9539,] 1.3942108
## [9540,] 0.4009062
## [9541,] 1.1929115
## [9542,] 0.6722172
## [9543,] 1.5819508
## [9544,] 1.1057216
## [9545,] 1.0599302
## [9546,] 2.3802802
## [9547,] 0.7557808
## [9548,] 2.9269863
## [9549,] 1.5558906
## [9550,] 0.2867003
## [9551,] 0.5402051
## [9552,] 0.7401467
## [9553,] 0.5327053
## [9554,] 0.6998553
## [9555,] 0.6494875
## [9556,] 1.1380736
## [9557,] 0.7433347
## [9558,] 2.1612608
## [9559,] 1.3282096
## [9560,] 0.7551576
## [9561,] 3.2791729
## [9562,] 0.6747347
## [9563,] 0.7392794
## [9564,] 0.3294540
## [9565,] 1.6951000
## [9566,] 0.4105692
## [9567,] 0.8827743
## [9568,] 1.3561068
## [9569,] 1.6314372
## [9570,] 1.0717527
## [9571,] 1.3106158
## [9572,] 0.6578412
## [9573,] 0.5074745
## [9574,] 1.0395209
## [9575,] 1.3134664
## [9576,] 1.1468485
## [9577,] 0.9753588
## [9578,] 1.4245424
## [9579,] 0.6326249
## [9580,] 0.5545358
## [9581,] 1.4000533
## [9582,] 0.7074087
## [9583,] 0.6729848
## [9584,] 0.5692295
## [9585,] 0.3477670
## [9586,] 1.1338165
## [9587,] 0.8061708
## [9588,] 1.3306416
## [9589,] 1.0843025
## [9590,] 0.3907185
## [9591,] 1.0557695
## [9592,] 0.4055385
## [9593,] 0.5532315
## [9594,] 3.4957745
## [9595,] 2.0176467
## [9596,] 1.3459466
## [9597,] 2.3187060
## [9598,] 1.2979003
## [9599,] 0.3055980
## [9600,] 0.5625550
## [9601,] 0.9894141
## [9602,] 3.1138740
## [9603,] 1.6920192
## [9604,] 0.9757019
## [9605,] 1.0330406
## [9606,] 0.5923600
## [9607,] 1.6803110
## [9608,] 0.7045389
## [9609,] 0.7395455
## [9610,] 1.1171626
## [9611,] 0.6191362
## [9612,] 0.3780165
## [9613,] 0.5485740
## [9614,] 1.7964813
## [9615,] 1.1345107
## [9616,] 0.5356102
## [9617,] 0.4451618
## [9618,] 0.4557810
## [9619,] 0.3611386
## [9620,] 2.7019953
## [9621,] 0.7008662
## [9622,] 0.6834317
## [9623,] 0.8686812
## [9624,] 0.7090715
## [9625,] 0.6661684
## [9626,] 1.1640250
## [9627,] 3.5774902
## [9628,] 1.0914284
## [9629,] 0.6944515
## [9630,] 0.8944607
## [9631,] 1.1919692
## [9632,] 0.6302594
## [9633,] 0.7132636
## [9634,] 0.6599916
## [9635,] 0.8751506
## [9636,] 0.5024830
## [9637,] 1.1850374
## [9638,] 1.0037946
## [9639,] 0.3562631
## [9640,] 3.8896881
## [9641,] 1.4827162
## [9642,] 0.5872736
## [9643,] 0.8919528
## [9644,] 1.9480781
## [9645,] 3.5441863
## [9646,] 0.5519703
## [9647,] 1.2766219
## [9648,] 0.6569087
## [9649,] 1.6168397
## [9650,] 0.7192364
## [9651,] 0.7121629
## [9652,] 0.7330997
## [9653,] 0.7300608
## [9654,] 1.4777497
## [9655,] 0.8915161
## [9656,] 1.3140632
## [9657,] 0.9421344
## [9658,] 0.6512320
## [9659,] 0.5274494
## [9660,] 0.6689144
## [9661,] 1.2338024
## [9662,] 1.0805527
## [9663,] 0.8652884
## [9664,] 0.7948840
## [9665,] 0.7058212
## [9666,] 4.4011986
## [9667,] 0.5010846
## [9668,] 1.5460971
## [9669,] 1.7989604
## [9670,] 0.4327950
## [9671,] 0.5818750
## [9672,] 1.4175971
## [9673,] 0.8635903
## [9674,] 0.7090250
## [9675,] 1.7724134
## [9676,] 0.4845574
## [9677,] 0.8626595
## [9678,] 0.4858793
## [9679,] 0.4181159
## [9680,] 0.9264306
## [9681,] 0.3205164
## [9682,] 0.5458300
## [9683,] 1.1824269
## [9684,] 1.8233699
## [9685,] 1.1072920
## [9686,] 1.9163702
## [9687,] 0.5514638
## [9688,] 0.4297080
## [9689,] 0.5058742
## [9690,] 0.2956087
## [9691,] 0.8947366
## [9692,] 1.1248567
## [9693,] 0.7763606
## [9694,] 0.5099194
## [9695,] 0.5467281
## [9696,] 0.5872659
## [9697,] 3.4498465
## [9698,] 0.3840225
## [9699,] 0.4805125
## [9700,] 1.2682757
## [9701,] 1.9629357
## [9702,] 0.7974131
## [9703,] 0.4426308
## [9704,] 0.7654008
## [9705,] 0.5146731
## [9706,] 1.6427667
## [9707,] 0.6671996
## [9708,] 0.7434158
## [9709,] 0.6902742
## [9710,] 0.6430864
## [9711,] 0.5490213
## [9712,] 0.9482959
## [9713,] 0.7827697
## [9714,] 0.5232505
## [9715,] 0.7258895
## [9716,] 0.6491793
## [9717,] 2.1225870
## [9718,] 0.5895900
## [9719,] 0.3875541
## [9720,] 3.0820925
## [9721,] 0.5448780
## [9722,] 1.7674067
## [9723,] 0.6526309
## [9724,] 1.9299445
## [9725,] 0.5739960
## [9726,] 0.7290892
## [9727,] 0.4584150
## [9728,] 2.7968119
## [9729,] 0.7035060
## [9730,] 0.6698089
## [9731,] 0.9734855
## [9732,] 1.5474392
## [9733,] 0.7938350
## [9734,] 0.3651894
## [9735,] 0.9379550
## [9736,] 0.8048777
## [9737,] 0.7180195
## [9738,] 0.9008868
## [9739,] 0.7092422
## [9740,] 1.7023876
## [9741,] 0.3779120
## [9742,] 0.4959249
## [9743,] 0.7138271
## [9744,] 0.5693605
## [9745,] 0.4516122
## [9746,] 1.0920006
## [9747,] 1.8594430
## [9748,] 0.8168591
## [9749,] 0.7598588
## [9750,] 0.6515721
## [9751,] 0.5498394
## [9752,] 1.1964426
## [9753,] 0.4498434
## [9754,] 1.1601838
## [9755,] 0.5793304
## [9756,] 2.2175378
## [9757,] 0.6240375
## [9758,] 0.7226070
## [9759,] 0.9623028
## [9760,] 0.6101695
## [9761,] 0.9026919
## [9762,] 1.2918000
## [9763,] 1.1225080
## [9764,] 1.2022269
## [9765,] 1.0645140
## [9766,] 0.5934524
## [9767,] 0.4786648
## [9768,] 0.5377079
## [9769,] 2.6612685
## [9770,] 0.6708293
## [9771,] 1.0931193
## [9772,] 0.4359259
## [9773,] 0.6891412
## [9774,] 1.0033567
## [9775,] 0.6711543
## [9776,] 0.6693016
## [9777,] 1.9896045
## [9778,] 0.8655969
## [9779,] 0.5013378
## [9780,] 0.6808702
## [9781,] 0.4726365
## [9782,] 0.8219782
## [9783,] 2.7475538
## [9784,] 0.5607169
## [9785,] 2.4499606
## [9786,] 0.2554320
## [9787,] 1.3589679
## [9788,] 0.6669570
## [9789,] 0.6665264
## [9790,] 2.0414534
## [9791,] 0.4865144
## [9792,] 0.3924722
## [9793,] 2.9894999
## [9794,] 0.4001221
## [9795,] 1.6567648
## [9796,] 0.9702727
## [9797,] 0.6999024
## [9798,] 2.1228039
## [9799,] 0.5909834
## [9800,] 0.3421649
## [9801,] 3.2002701
## [9802,] 1.5567538
## [9803,] 0.5171856
## [9804,] 0.4178717
## [9805,] 0.9127506
## [9806,] 0.4726631
## [9807,] 1.1257089
## [9808,] 0.9130350
## [9809,] 2.5166405
## [9810,] 0.9895038
## [9811,] 0.8789203
## [9812,] 0.4306634
## [9813,] 0.9405082
## [9814,] 0.5144800
## [9815,] 0.6574754
## [9816,] 0.4660097
## [9817,] 0.8383365
## [9818,] 1.4184737
## [9819,] 2.6339932
## [9820,] 0.4445399
## [9821,] 0.6300758
## [9822,] 0.4473119
## [9823,] 0.7589753
## [9824,] 0.7511211
## [9825,] 1.6034018
## [9826,] 0.2962202
## [9827,] 0.7075517
## [9828,] 4.0694533
## [9829,] 0.8652367
## [9830,] 0.3984300
## [9831,] 0.8973331
## [9832,] 1.2992381
## [9833,] 0.8212573
## [9834,] 1.7023828
## [9835,] 0.7999462
## [9836,] 1.7725933
## [9837,] 1.3939778
## [9838,] 0.6644860
## [9839,] 0.9370527
## [9840,] 0.3625376
## [9841,] 0.5403783
## [9842,] 0.5205187
## [9843,] 0.2343534
## [9844,] 0.5739653
## [9845,] 0.6762222
## [9846,] 1.4534403
## [9847,] 0.8601272
## [9848,] 3.6488318
## [9849,] 1.4354347
## [9850,] 0.7222913
## [9851,] 0.7284917
## [9852,] 2.3898420
## [9853,] 0.6227414
## [9854,] 1.6656178
## [9855,] 0.7605896
## [9856,] 0.8121045
## [9857,] 0.8134493
## [9858,] 2.0359600
## [9859,] 0.3493977
## [9860,] 0.8298585
## [9861,] 0.9382270
## [9862,] 0.6661581
## [9863,] 0.2675315
## [9864,] 0.7757423
## [9865,] 1.2195767
## [9866,] 1.0391261
## [9867,] 0.8389762
## [9868,] 2.5227202
## [9869,] 0.6890831
## [9870,] 0.5348559
## [9871,] 0.7061532
## [9872,] 1.4023390
## [9873,] 0.3275009
## [9874,] 1.4319635
## [9875,] 0.5138143
## [9876,] 0.6739785
## [9877,] 0.6280783
## [9878,] 0.8706470
## [9879,] 1.1824755
## [9880,] 0.5576060
## [9881,] 0.6975240
## [9882,] 0.7452005
## [9883,] 0.6127485
## [9884,] 1.1688947
## [9885,] 0.7914000
## [9886,] 2.9136848
## [9887,] 0.6513975
## [9888,] 0.5878647
## [9889,] 0.6585984
## [9890,] 0.8044089
## [9891,] 0.6095254
## [9892,] 0.4507284
## [9893,] 1.2141450
## [9894,] 0.7902732
## [9895,] 0.6195858
## [9896,] 1.1217036
## [9897,] 2.4044731
## [9898,] 0.6382809
## [9899,] 1.3231431
## [9900,] 0.5259455
## [9901,] 0.5929129
## [9902,] 0.4812390
## [9903,] 0.6104665
## [9904,] 1.2827431
## [9905,] 0.5630117
## [9906,] 0.6348878
## [9907,] 1.2011460
## [9908,] 1.0986237
## [9909,] 1.0460568
## [9910,] 0.5684733
## [9911,] 0.3824393
## [9912,] 0.3987497
## [9913,] 0.8388959
## [9914,] 0.6425405
## [9915,] 0.6037967
## [9916,] 1.5649305
## [9917,] 0.7138102
## [9918,] 1.7516988
## [9919,] 1.3903157
## [9920,] 2.1074538
## [9921,] 0.9757266
## [9922,] 1.3859029
## [9923,] 1.3954380
## [9924,] 0.4518116
## [9925,] 0.3611818
## [9926,] 1.7021668
## [9927,] 0.8503200
## [9928,] 0.5649880
## [9929,] 0.8780357
## [9930,] 1.4123529
## [9931,] 0.3870041
## [9932,] 0.7436146
## [9933,] 0.5264119
## [9934,] 1.2578323
## [9935,] 1.0132454
## [9936,] 0.6218231
## [9937,] 0.6731473
## [9938,] 0.8399129
## [9939,] 1.2979003
## [9940,] 1.4522163
## [9941,] 1.2640327
## [9942,] 0.3936387
## [9943,] 0.3372335
## [9944,] 2.2785172
## [9945,] 0.7593081
## [9946,] 0.5842077
## [9947,] 1.0183641
## [9948,] 0.9071976
## [9949,] 2.6177855
## [9950,] 0.4548980
## [9951,] 0.6279348
## [9952,] 0.4637786
## [9953,] 0.8323929
## [9954,] 1.5687255
## [9955,] 1.3236007
## [9956,] 0.2662680
## [9957,] 0.8382577
## [9958,] 1.5837032
## [9959,] 0.8457837
## [9960,] 1.0801028
## [9961,] 1.0889198
## [9962,] 0.4269661
## [9963,] 0.7584002
## [9964,] 0.7502545
## [9965,] 0.3833835
## [9966,] 1.0257807
## [9967,] 2.1828836
## [9968,] 5.0403154
## [9969,] 0.7297085
## [9970,] 0.9415211
## [9971,] 0.8026665
## [9972,] 0.4456775
## [9973,] 2.9109123
## [9974,] 0.9314547
## [9975,] 1.7101927
## [9976,] 0.4455129
## [9977,] 2.1694456
## [9978,] 2.6350412
## [9979,] 0.9870145
## [9980,] 0.5185403
## [9981,] 0.8209138
## [9982,] 4.1520109
## [9983,] 0.9883722
## [9984,] 1.7820628
## [9985,] 1.8216801
## [9986,] 0.8453918
## [9987,] 0.7906965
## [9988,] 0.6768393
## [9989,] 1.3748453
## [9990,] 1.0028583
## [9991,] 0.8851006
## [9992,] 0.7259633
## [9993,] 0.5711847
## [9994,] 0.5995741
## [9995,] 0.9491925
## [9996,] 0.5780483
## [9997,] 0.2952168
## [9998,] 0.7241158
## [9999,] 2.2252686
##
## $model.matrix
## (Intercept) time1
## F3D0 1 1
## F3D1 1 1
## F3D141 1 -1
## F3D142 1 -1
## F3D143 1 -1
## F3D144 1 -1
## F3D145 1 -1
## F3D146 1 -1
## F3D147 1 -1
## F3D148 1 -1
## F3D149 1 -1
## F3D150 1 -1
## F3D2 1 1
## F3D3 1 1
## F3D5 1 1
## F3D6 1 1
## F3D7 1 1
## F3D8 1 1
## F3D9 1 1
##
## $terms
## x ~ time
## attr(,"variables")
## list(x, time)
## attr(,"factors")
## time
## x 0
## time 1
## attr(,"term.labels")
## [1] "time"
## attr(,"order")
## [1] 1
## attr(,"intercept")
## [1] 1
## attr(,"response")
## [1] 1
## attr(,".Environment")
## <environment: 0x5641acca0260>
##
## attr(,"class")
## [1] "adonis"library(ggplot2)
p1 <- mouse.time.mpse %>%
mp_plot_ord(
.ord = pcoa,
.group = time,
.color = time,
.size = 1.2,
.alpha = 1,
ellipse = TRUE,
show.legend = FALSE # don't display the legend of stat_ellipse
) +
scale_fill_manual(values=c("#00A087FF", "#3C5488FF")) +
scale_color_manual(values=c("#00A087FF", "#3C5488FF"))
# The size of point also can be mapped to other variables such as Observe, or Shannon
# Then the alpha diversity and beta diversity will be displayed simultaneously.
p2 <- mouse.time.mpse %>%
mp_plot_ord(
.ord = pcoa,
.group = time,
.color = time,
.size = Observe,
.alpha = Shannon,
ellipse = TRUE,
show.legend = FALSE # don't display the legend of stat_ellipse
) +
scale_fill_manual(
values = c("#00A087FF", "#3C5488FF"),
guide = guide_legend(keywidth=0.6, keyheight=0.6, label.theme=element_text(size=6.5))
) +
scale_color_manual(
values=c("#00A087FF", "#3C5488FF"),
guide = guide_legend(keywidth=0.6, keyheight=0.6, label.theme=element_text(size=6.5))
) +
scale_size_continuous(
range=c(0.5, 3),
guide = guide_legend(keywidth=0.6, keyheight=0.6, label.theme=element_text(size=6.5))
)
p1 + p2
The PCoA result
3.5.3 Hierarchical cluster analysis
The distance of samples can also be used to perform the hierarchical cluster analysis to estimated the dissimilarities of samples. MicrobiotaProcess presents mp_cal_clust to perform this analysis. It also is implemented with the tidy-like framework.
mouse.time.mpse %<>%
mp_cal_clust(
.abundance = hellinger,
distmethod = "bray",
hclustmethod = "average", # (UPGAE)
action = "add" # action is used to control which result will be returned
)
mouse.time.mpse## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 25
## # OTU=218 | Samples=19 | Assays=Abundance, RareAbundance,
## # RelRareAbundanceBySample, hellinger | Taxonomy=Kingdom, Phylum, Class,
## # Order, Family, Genus, Species
## OTU Sample Abundance RareAbundance RelRareAbundanceBySamp… hellinger time
## <chr> <chr> <int> <int> <dbl> <dbl> <chr>
## 1 OTU_1 F3D0 579 214 8.50 0.298 Early
## 2 OTU_2 F3D0 345 116 4.61 0.230 Early
## 3 OTU_3 F3D0 449 179 7.11 0.262 Early
## 4 OTU_4 F3D0 430 167 6.63 0.257 Early
## 5 OTU_5 F3D0 154 54 2.14 0.154 Early
## 6 OTU_6 F3D0 470 174 6.91 0.268 Early
## 7 OTU_7 F3D0 282 115 4.57 0.208 Early
## 8 OTU_8 F3D0 184 74 2.94 0.168 Early
## 9 OTU_9 F3D0 45 16 0.635 0.0830 Early
## 10 OTU_10 F3D0 158 59 2.34 0.156 Early
## # … with 4,132 more rows, and 18 more variables: RareAbundanceRarecurve <list>,
## # Observe <dbl>, Chao1 <dbl>, ACE <dbl>, Shannon <dbl>, Simpson <dbl>,
## # Pielou <dbl>, bray <list>, `PCo1 (46.6%)` <dbl>, `PCo2 (13.31%)` <dbl>,
## # `PCo3 (8.22%)` <dbl>, Kingdom <chr>, Phylum <chr>, Class <chr>,
## # Order <chr>, Family <chr>, Genus <chr>, Species <chr># if action = 'add', the result of hierarchical cluster will be added to the MPSE object
# mp_extract_internal_attr can extract it. It is a treedata object, so it can be visualized
# by ggtree.
sample.clust <- mouse.time.mpse %>% mp_extract_internal_attr(name='SampleClust')
sample.clust## 'treedata' S4 object'.
##
## ...@ phylo:
##
## Phylogenetic tree with 19 tips and 18 internal nodes.
##
## Tip labels:
## F3D0, F3D1, F3D141, F3D142, F3D143, F3D144, ...
##
## Rooted; includes branch lengths.
##
## with the following features available:
## '', 'time', 'RareAbundanceRarecurve', 'Observe', 'Chao1', 'ACE', 'Shannon',
## 'Simpson', 'Pielou', 'bray', 'PCo1 (46.6%)', 'PCo2 (13.31%)', 'PCo3 (8.22%)'.
##
## # The associated data tibble abstraction: 37 × 15
## # The 'node', 'label' and 'isTip' are from the phylo tree.
## node label isTip time RareAbundanceRa… Observe Chao1 ACE Shannon Simpson
## <int> <chr> <lgl> <chr> <list> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 1 F3D0 TRUE Early <tibble> 104 104. 105. 3.88 0.965
## 2 2 F3D1 TRUE Early <tibble> 99 102 101. 3.97 0.971
## 3 3 F3D141 TRUE Late <tibble> 74 74 74.2 3.41 0.950
## 4 4 F3D142 TRUE Late <tibble> 48 48 48 3.12 0.939
## 5 5 F3D143 TRUE Late <tibble> 56 56 56 3.29 0.946
## 6 6 F3D144 TRUE Late <tibble> 47 47 47.2 2.98 0.930
## 7 7 F3D145 TRUE Late <tibble> 71 73.1 74.0 3.12 0.937
## 8 8 F3D146 TRUE Late <tibble> 83 84.5 83.8 3.60 0.956
## 9 9 F3D147 TRUE Late <tibble> 97 107 106. 3.31 0.940
## 10 10 F3D148 TRUE Late <tibble> 92 93.3 94.7 3.44 0.952
## # … with 27 more rows, and 5 more variables: Pielou <dbl>, bray <list>,
## # `PCo1 (46.6%)` <dbl>, `PCo2 (13.31%)` <dbl>, `PCo3 (8.22%)` <dbl>library(ggtree)
p <- ggtree(sample.clust) +
geom_tippoint(aes(color=time)) +
geom_tiplab(as_ylab = TRUE) +
ggplot2::scale_x_continuous(expand=c(0, 0.01))
p
The hierarchical cluster result of samples
Since the result of hierarchical cluster is treedata object, so it is very easy to display the result with associated data. For example, we can display the result of hierarchical cluster and the abundance of specific taxonomy level to check whether some biological pattern can be found.
library(ggtreeExtra)
library(ggplot2)
phyla.tb <- mouse.time.mpse %>%
mp_extract_abundance(taxa.class=Phylum, topn=30)
# The abundance of each samples is nested, it can be flatted using the unnest of tidyr.
phyla.tb %<>% tidyr::unnest(cols=RareAbundanceBySample) %>% dplyr::rename(Phyla="label")
phyla.tb## # A tibble: 171 × 7
## Phyla nodeClass Sample RareAbundance RelRareAbundanc… time RareAbundanceBy…
## <fct> <chr> <chr> <int> <dbl> <chr> <list>
## 1 p__Ac… Phylum F3D0 15 0.596 Early <tibble [2 × 3]>
## 2 p__Ac… Phylum F3D1 0 0 Early <tibble [2 × 3]>
## 3 p__Ac… Phylum F3D141 11 0.437 Late <tibble [2 × 3]>
## 4 p__Ac… Phylum F3D142 28 1.11 Late <tibble [2 × 3]>
## 5 p__Ac… Phylum F3D143 10 0.397 Late <tibble [2 × 3]>
## 6 p__Ac… Phylum F3D144 18 0.715 Late <tibble [2 × 3]>
## 7 p__Ac… Phylum F3D145 6 0.238 Late <tibble [2 × 3]>
## 8 p__Ac… Phylum F3D146 4 0.159 Late <tibble [2 × 3]>
## 9 p__Ac… Phylum F3D147 15 0.596 Late <tibble [2 × 3]>
## 10 p__Ac… Phylum F3D148 19 0.755 Late <tibble [2 × 3]>
## # … with 161 more rowsp1 <- p +
geom_fruit(
data=phyla.tb,
geom=geom_col,
mapping = aes(x = RelRareAbundanceBySample,
y = Sample,
fill = Phyla
),
orientation = "y",
#offset = 0.4,
pwidth = 3,
axis.params = list(axis = "x",
title = "The relative abundance of phyla (%)",
title.size = 4,
text.size = 2,
vjust = 1),
grid.params = list()
)
p1
The hierarchical cluster result of samples and the abundance of Phylum
3.6 Biomarker discovery
The MicrobiotaProcess presents mp_diff_analysis for the biomarker discovery based on tidy-like framework. The rule of mp_diff_analysis is similar with the LEfSe(Nicola Segata and Huttenhower 2011). First, all features are tested whether values in different classes are differentially distributed. Second, the significantly different features are tested whether all pairwise comparisons between subclass in different classes distinctly consistent with the class trend. Finally, the significantly discriminative features are assessed by LDA (linear discriminant analysis) or rf(randomForest). However, mp_diff_analysis is more flexible. The test method of two step can be set by user, and we used the general fold change(Wirbel et al. 2019) and wilcox.test(default) to test whether all pairwise comparisons between subclass in different classes distinctly consistent with the class trend. And the result is stored to the treedata object, which can be processed and displayed via treeio(Wang et al. 2020), tidytree(Yu 2021), ggtree(Yu et al. 2017) and ggtreeExtra(Xu et al. 2021).
library(ggtree)
library(ggtreeExtra)
library(ggplot2)
library(MicrobiotaProcess)
library(tidytree)
library(ggstar)
library(forcats)
mouse.time.mpse %>% print(width=150)## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 25
## # OTU=218 | Samples=19 | Assays=Abundance, RareAbundance,
## # RelRareAbundanceBySample, hellinger | Taxonomy=Kingdom, Phylum, Class,
## # Order, Family, Genus, Species
## OTU Sample Abundance RareAbundance RelRareAbundanceBySample hellinger
## <chr> <chr> <int> <int> <dbl> <dbl>
## 1 OTU_1 F3D0 579 214 8.50 0.298
## 2 OTU_2 F3D0 345 116 4.61 0.230
## 3 OTU_3 F3D0 449 179 7.11 0.262
## 4 OTU_4 F3D0 430 167 6.63 0.257
## 5 OTU_5 F3D0 154 54 2.14 0.154
## 6 OTU_6 F3D0 470 174 6.91 0.268
## 7 OTU_7 F3D0 282 115 4.57 0.208
## 8 OTU_8 F3D0 184 74 2.94 0.168
## 9 OTU_9 F3D0 45 16 0.635 0.0830
## 10 OTU_10 F3D0 158 59 2.34 0.156
## time RareAbundanceRarec… Observe Chao1 ACE Shannon Simpson Pielou bray
## <chr> <list> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <list>
## 1 Early <tibble> 104 104. 105. 3.88 0.965 0.835 <tibble>
## 2 Early <tibble> 104 104. 105. 3.88 0.965 0.835 <tibble>
## 3 Early <tibble> 104 104. 105. 3.88 0.965 0.835 <tibble>
## 4 Early <tibble> 104 104. 105. 3.88 0.965 0.835 <tibble>
## 5 Early <tibble> 104 104. 105. 3.88 0.965 0.835 <tibble>
## 6 Early <tibble> 104 104. 105. 3.88 0.965 0.835 <tibble>
## 7 Early <tibble> 104 104. 105. 3.88 0.965 0.835 <tibble>
## 8 Early <tibble> 104 104. 105. 3.88 0.965 0.835 <tibble>
## 9 Early <tibble> 104 104. 105. 3.88 0.965 0.835 <tibble>
## 10 Early <tibble> 104 104. 105. 3.88 0.965 0.835 <tibble>
## # … with 4,132 more rows, and 10 more variables: `PCo1 (46.6%)` <dbl>, `PCo2 (13.31%)` <dbl>, `PCo3 (8.22%)` <dbl>, Kingdom <chr>, Phylum <chr>,
## # Class <chr>, Order <chr>, Family <chr>, Genus <chr>, Species <chr>mouse.time.mpse %<>%
mp_diff_analysis(
.abundance = RelRareAbundanceBySample,
.group = time,
first.test.alpha = 0.01
)
# The result is stored to the taxatree or otutree slot, you can use mp_extract_tree to extract the specific slot.
taxa.tree <- mouse.time.mpse %>%
mp_extract_tree(type="taxatree")
taxa.tree## 'treedata' S4 object'.
##
## ...@ phylo:
##
## Phylogenetic tree with 218 tips and 186 internal nodes.
##
## Tip labels:
## OTU_67, OTU_231, OTU_188, OTU_150, OTU_207, OTU_5, ...
## Node labels:
## r__root, k__Bacteria, p__Actinobacteria, p__Bacteroidetes, p__Cyanobacteria,
## p__Deinococcus-Thermus, ...
##
## Rooted; no branch lengths.
##
## with the following features available:
## 'nodeClass', 'nodeDepth', 'RareAbundanceBySample', 'RareAbundanceBytime',
## 'LDAupper', 'LDAmean', 'LDAlower', 'Sign_time', 'pvalue', 'fdr'.
##
## # The associated data tibble abstraction: 404 × 13
## # The 'node', 'label' and 'isTip' are from the phylo tree.
## node label isTip nodeClass nodeDepth RareAbundanceBySamp… RareAbundanceBy…
## <int> <chr> <lgl> <chr> <dbl> <list> <list>
## 1 1 OTU_67 TRUE OTU 8 <tibble [19 × 4]> <tibble [2 × 3]>
## 2 2 OTU_231 TRUE OTU 8 <tibble [19 × 4]> <tibble [2 × 3]>
## 3 3 OTU_188 TRUE OTU 8 <tibble [19 × 4]> <tibble [2 × 3]>
## 4 4 OTU_150 TRUE OTU 8 <tibble [19 × 4]> <tibble [2 × 3]>
## 5 5 OTU_207 TRUE OTU 8 <tibble [19 × 4]> <tibble [2 × 3]>
## 6 6 OTU_5 TRUE OTU 8 <tibble [19 × 4]> <tibble [2 × 3]>
## 7 7 OTU_1 TRUE OTU 8 <tibble [19 × 4]> <tibble [2 × 3]>
## 8 8 OTU_2 TRUE OTU 8 <tibble [19 × 4]> <tibble [2 × 3]>
## 9 9 OTU_3 TRUE OTU 8 <tibble [19 × 4]> <tibble [2 × 3]>
## 10 10 OTU_4 TRUE OTU 8 <tibble [19 × 4]> <tibble [2 × 3]>
## # … with 394 more rows, and 6 more variables: LDAupper <dbl>, LDAmean <dbl>,
## # LDAlower <dbl>, Sign_time <chr>, pvalue <dbl>, fdr <dbl># And the result tibble of different analysis can also be extracted
# with tidytree (>=0.3.5)
taxa.tree %>% select(label, nodeClass, LDAupper, LDAmean, LDAlower, Sign_time, pvalue, fdr) %>% dplyr::filter(!is.na(fdr))## # A tibble: 399 × 8
## label nodeClass LDAupper LDAmean LDAlower Sign_time pvalue fdr
## <chr> <chr> <dbl> <dbl> <dbl> <chr> <dbl> <dbl>
## 1 OTU_67 OTU NA NA NA <NA> 0.00335 0.0194
## 2 OTU_231 OTU NA NA NA <NA> 0.343 0.408
## 3 OTU_188 OTU NA NA NA <NA> 0.563 0.634
## 4 OTU_150 OTU NA NA NA <NA> 0.235 0.355
## 5 OTU_207 OTU NA NA NA <NA> 0.878 0.894
## 6 OTU_5 OTU NA NA NA <NA> 0.568 0.634
## 7 OTU_1 OTU NA NA NA <NA> 0.744 0.773
## 8 OTU_2 OTU NA NA NA <NA> 0.437 0.515
## 9 OTU_3 OTU NA NA NA <NA> 0.437 0.515
## 10 OTU_4 OTU 4.41 4.38 4.36 Late 0.000444 0.00732
## # … with 389 more rows# Since taxa.tree is treedata object, it can be visualized by ggtree and ggtreeExtra
p1 <- ggtree(
taxa.tree,
layout="radial",
size = 0.3
) +
geom_point(
data = td_filter(!isTip),
fill="white",
size=1,
shape=21
)
# display the high light of phylum clade.
p2 <- p1 +
geom_hilight(
data = td_filter(nodeClass == "Phylum"),
mapping = aes(node = node, fill = label)
)
# display the relative abundance of features(OTU)
p3 <- p2 +
ggnewscale::new_scale("fill") +
geom_fruit(
data = td_unnest(RareAbundanceBySample),
geom = geom_star,
mapping = aes(
x = fct_reorder(Sample, time, .fun=min),
size = RelRareAbundanceBySample,
fill = time,
subset = RelRareAbundanceBySample > 0
),
starshape = 13,
starstroke = 0.25,
offset = 0.04,
pwidth = 0.8,
grid.params = list(linetype=2)
) +
scale_size_continuous(
name="Relative Abundance (%)",
range = c(.5, 3)
) +
scale_fill_manual(values=c("#1B9E77", "#D95F02"))
# display the tip labels of taxa tree
p4 <- p3 + geom_tiplab(size=2, offset=7.2)
# display the LDA of significant OTU.
p5 <- p4 +
ggnewscale::new_scale("fill") +
geom_fruit(
geom = geom_col,
mapping = aes(
x = LDAmean,
fill = Sign_time,
subset = !is.na(LDAmean)
),
orientation = "y",
offset = 0.3,
pwidth = 0.5,
axis.params = list(axis = "x",
title = "Log10(LDA)",
title.height = 0.01,
title.size = 2,
text.size = 1.8,
vjust = 1),
grid.params = list(linetype = 2)
)
# display the significant (FDR) taxonomy after kruskal.test (default)
p6 <- p5 +
ggnewscale::new_scale("size") +
geom_point(
data=td_filter(!is.na(Sign_time)),
mapping = aes(size = -log10(fdr),
fill = Sign_time,
),
shape = 21,
) +
scale_size_continuous(range=c(1, 3)) +
scale_fill_manual(values=c("#1B9E77", "#D95F02"))
p6 + theme(
legend.key.height = unit(0.3, "cm"),
legend.key.width = unit(0.3, "cm"),
legend.spacing.y = unit(0.02, "cm"),
legend.text = element_text(size = 7),
legend.title = element_text(size = 9),
)
The different species and the abundance of sample
The visualization methods of result can be various, you can refer to the article or book of ggtree(Yu et al. 2017, 2018) and the article of ggtreeExtra(Xu et al. 2021). In addition, we also developed mp_plot_diff_res to display the result of mp_diff_analysis, it can decreases coding burden.
## # A MPSE-tibble (MPSE object) abstraction: 4,142 × 31
## # OTU=218 | Samples=19 | Assays=Abundance, RareAbundance,
## # RelRareAbundanceBySample, hellinger | Taxonomy=Kingdom, Phylum, Class,
## # Order, Family, Genus, Species
## OTU Sample Abundance RareAbundance RelRareAbundanceBySamp… hellinger time
## <chr> <chr> <int> <int> <dbl> <dbl> <chr>
## 1 OTU_1 F3D0 579 214 8.50 0.298 Early
## 2 OTU_2 F3D0 345 116 4.61 0.230 Early
## 3 OTU_3 F3D0 449 179 7.11 0.262 Early
## 4 OTU_4 F3D0 430 167 6.63 0.257 Early
## 5 OTU_5 F3D0 154 54 2.14 0.154 Early
## 6 OTU_6 F3D0 470 174 6.91 0.268 Early
## 7 OTU_7 F3D0 282 115 4.57 0.208 Early
## 8 OTU_8 F3D0 184 74 2.94 0.168 Early
## 9 OTU_9 F3D0 45 16 0.635 0.0830 Early
## 10 OTU_10 F3D0 158 59 2.34 0.156 Early
## # … with 4,132 more rows, and 24 more variables: RareAbundanceRarecurve <list>,
## # Observe <dbl>, Chao1 <dbl>, ACE <dbl>, Shannon <dbl>, Simpson <dbl>,
## # Pielou <dbl>, bray <list>, `PCo1 (46.6%)` <dbl>, `PCo2 (13.31%)` <dbl>,
## # `PCo3 (8.22%)` <dbl>, Kingdom <chr>, Phylum <chr>, Class <chr>,
## # Order <chr>, Family <chr>, Genus <chr>, Species <chr>, LDAupper <dbl>,
## # LDAmean <dbl>, LDAlower <dbl>, Sign_time <chr>, pvalue <dbl>, fdr <dbl>p <- mouse.time.mpse %>%
mp_plot_diff_res(
group.abun = TRUE,
pwidth.abun=0.1
) +
scale_fill_manual(values=c("deepskyblue", "orange")) +
scale_fill_manual(
aesthetics = "fill_new", # The fill aes was renamed to "fill_new" for the abundance dotplot layer
values = c("deepskyblue", "orange")
) +
scale_fill_manual(
aesthetics = "fill_new_new", # The fill aes for hight light layer of tree was renamed to 'fill_new_new'
values = c("#E41A1C", "#377EB8", "#4DAF4A",
"#984EA3", "#FF7F00", "#FFFF33",
"#A65628", "#F781BF", "#999999"
)
)
p
The different species and the abundance of group
4. Need helps?
If you have questions/issues, please visit github issue tracker.
5. Session information
Here is the output of sessionInfo() on the system on which this document was compiled:
## R version 4.2.0 RC (2022-04-19 r82224)
## Platform: x86_64-pc-linux-gnu (64-bit)
## Running under: Ubuntu 20.04.4 LTS
##
## Matrix products: default
## BLAS: /home/biocbuild/bbs-3.15-bioc/R/lib/libRblas.so
## LAPACK: /home/biocbuild/bbs-3.15-bioc/R/lib/libRlapack.so
##
## locale:
## [1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C
## [3] LC_TIME=en_GB LC_COLLATE=C
## [5] LC_MONETARY=en_US.UTF-8 LC_MESSAGES=en_US.UTF-8
## [7] LC_PAPER=en_US.UTF-8 LC_NAME=C
## [9] LC_ADDRESS=C LC_TELEPHONE=C
## [11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C
##
## attached base packages:
## [1] stats graphics grDevices utils datasets methods base
##
## other attached packages:
## [1] forcats_0.5.1 ggstar_1.0.3 MicrobiotaProcess_1.8.0
## [4] tidytree_0.3.9 treeio_1.20.0 ggtreeExtra_1.6.0
## [7] ggtree_3.4.0 phyloseq_1.40.0 ggplot2_3.3.5
## [10] knitr_1.38
##
## loaded via a namespace (and not attached):
## [1] TH.data_1.1-1 ggnewscale_0.4.7
## [3] colorspace_2.0-3 ggsignif_0.6.3
## [5] ellipsis_0.3.2 modeltools_0.2-23
## [7] XVector_0.36.0 GenomicRanges_1.48.0
## [9] aplot_0.1.3 farver_2.1.0
## [11] ggrepel_0.9.1 fansi_1.0.3
## [13] mvtnorm_1.1-3 coin_1.4-2
## [15] codetools_0.2-18 splines_4.2.0
## [17] ggh4x_0.2.1 libcoin_1.0-9
## [19] ade4_1.7-19 jsonlite_1.8.0
## [21] cluster_2.1.3 png_0.1-7
## [23] compiler_4.2.0 assertthat_0.2.1
## [25] Matrix_1.4-1 fastmap_1.1.0
## [27] lazyeval_0.2.2 cli_3.3.0
## [29] htmltools_0.5.2 tools_4.2.0
## [31] igraph_1.3.1 gtable_0.3.0
## [33] glue_1.6.2 GenomeInfoDbData_1.2.8
## [35] corrr_0.4.3 reshape2_1.4.4
## [37] dplyr_1.0.8 Rcpp_1.0.8.3
## [39] Biobase_2.56.0 jquerylib_0.1.4
## [41] vctrs_0.4.1 Biostrings_2.64.0
## [43] rhdf5filters_1.8.0 multtest_2.52.0
## [45] ape_5.6-2 nlme_3.1-157
## [47] gghalves_0.1.1 iterators_1.0.14
## [49] ggalluvial_0.12.3 xfun_0.30
## [51] stringr_1.4.0 lifecycle_1.0.1
## [53] zlibbioc_1.42.0 MASS_7.3-57
## [55] zoo_1.8-10 scales_1.2.0
## [57] MatrixGenerics_1.8.0 parallel_4.2.0
## [59] SummarizedExperiment_1.26.0 biomformat_1.24.0
## [61] sandwich_3.0-1 rhdf5_2.40.0
## [63] yaml_2.3.5 gridExtra_2.3
## [65] dtplyr_1.2.1 ggfun_0.0.6
## [67] yulab.utils_0.0.4 sass_0.4.1
## [69] stringi_1.7.6 highr_0.9
## [71] S4Vectors_0.34.0 foreach_1.5.2
## [73] permute_0.9-7 BiocGenerics_0.42.0
## [75] ggside_0.2.0 GenomeInfoDb_1.32.0
## [77] rlang_1.0.2 pkgconfig_2.0.3
## [79] bitops_1.0-7 matrixStats_0.62.0
## [81] evaluate_0.15 lattice_0.20-45
## [83] purrr_0.3.4 Rhdf5lib_1.18.0
## [85] patchwork_1.1.1 labeling_0.4.2
## [87] tidyselect_1.1.2 plyr_1.8.7
## [89] magrittr_2.0.3 R6_2.5.1
## [91] IRanges_2.30.0 magick_2.7.3
## [93] generics_0.1.2 multcomp_1.4-19
## [95] DelayedArray_0.22.0 DBI_1.1.2
## [97] pillar_1.7.0 withr_2.5.0
## [99] mgcv_1.8-40 prettydoc_0.4.1
## [101] survival_3.3-1 RCurl_1.98-1.6
## [103] tibble_3.1.6 crayon_1.5.1
## [105] utf8_1.2.2 rmarkdown_2.14
## [107] grid_4.2.0 data.table_1.14.2
## [109] vegan_2.6-2 digest_0.6.29
## [111] tidyr_1.2.0 gridGraphics_0.5-1
## [113] stats4_4.2.0 munsell_0.5.0
## [115] viridisLite_0.4.0 ggplotify_0.1.0
## [117] bslib_0.3.16. References
Beghini, Francesco, Lauren J McIver, Aitor Blanco-Mı́guez, Leonard Dubois, Francesco Asnicar, Sagun Maharjan, Ana Mailyan, et al. 2021. “Integrating Taxonomic, Functional, and Strain-Level Profiling of Diverse Microbial Communities with bioBakery 3.” Elife 10: e65088.
Bolyen, Evan, Jai Ram Rideout, Matthew R Dillon, Nicholas A Bokulich, Christian C Abnet, Gabriel A Al-Ghalith, Harriet Alexander, et al. 2019. “Reproducible, Interactive, Scalable and Extensible Microbiome Data Science Using Qiime 2.” Nature Biotechnology 37 (8): 852–57.
Callahan, Benjamin J, Paul J McMurdie, Michael J Rosen, Andrew W Han, Amy Jo A Johnson, and Susan P Holmes. 2016. “DADA2: High-Resolution Sample Inference from Illumina Amplicon Data.” Nature Methods 13 (7): 581–83.
Huang, Ruizhu, Charlotte Soneson, Felix G.M. Ernst, Kevin C. Rue-Albrecht, Guangchuang Yu, Stephanie C. Hicks, and Mark D. Robinson. 2021. “TreeSummarizedExperiment: A S4 Class for Data with Hierarchical Structure.” F1000Research 9: 1246. https://f1000research.com/articles/9-1246.
McMurdie, Paul J., and Susan Holmes. 2013. “Phyloseq: An R Package for Reproducible Interactive Analysis and Graphics of Microbiome Census Data.” PLoS ONE 8 (4): e61217. https://doi.org/10.1371/journal.pone.0061217.
Morgan, Martin, Valerie Obenchain, Jim Hester, and Hervé Pagès. 2021. SummarizedExperiment: SummarizedExperiment Container. https://bioconductor.org/packages/SummarizedExperiment.
Nicola Segata, Levi Waldron, Jacques Izard, and Curtis Huttenhower. 2011. “Metagenomic Biomarker Discovery and Explanation.” Genome Biology 12 (6): R60. https://doi.org/10.1186/gb-2011-12-6-r60.
Oksanen, Jari, F. Guillaume Blanchet, Michael Friendly, Roeland Kindt, Pierre Legendre, Dan McGlinn, Peter R. Minchin, et al. 2019. “Vegan: Community Ecology Package.” https://CRAN.R-project.org/package=vegan.
Pagès, H., P. Aboyoun, R. Gentleman, and S. DebRoy. 2021. Biostrings: Efficient Manipulation of Biological Strings. https://bioconductor.org/packages/Biostrings.
Siegel, Andrew F. 2004. “Rarefaction Curves.” Encyclopedia of Statistical Sciences 10. https://doi.org/10.1002/0471667196.ess2195.pub2.
Wang, Li-Gen, Tommy Tsan-Yuk Lam, Shuangbin Xu, Zehan Dai, Lang Zhou, Tingze Feng, Pingfan Guo, et al. 2020. “Treeio: An R Package for Phylogenetic Tree Input and Output with Richly Annotated and Associated Data.” Molecular Biology and Evolution 37 (2): 599–603. https://doi.org/10.1093/molbev/msz240.
Wickham, Hadley, Mara Averick, Jennifer Bryan, Winston Chang, Lucy D’Agostino McGowan, Romain François, Garrett Grolemund, et al. 2019. “Welcome to the tidyverse.” Journal of Open Source Software 4 (43): 1686. https://doi.org/10.21105/joss.01686.
Wirbel, Jakob, Paul Theodor Pyl, Ece Kartal, Konrad Zych, Alireza Kashani, Alessio Milanese, Jonas S Fleck, et al. 2019. “Meta-Analysis of Fecal Metagenomes Reveals Global Microbial Signatures That Are Specific for Colorectal Cancer.” Nature Medicine 25 (4): 679. https://doi.org/10.1038/s41591-019-0406-6.
Xu, Shuangbin, Zehan Dai, Pingfan Guo, Xiaocong Fu, Shanshan Liu, Lang Zhou, Wenli Tang, et al. 2021. “GgtreeExtra: Compact Visualization of Richly Annotated Phylogenetic Data.” Molecular Biology and Evolution 38 (9): 4039–42. https://doi.org/10.1093/molbev/msab166.
Yu, Guangchuang. 2021. Tidytree: A Tidy Tool for Phylogenetic Tree Data Manipulation. https://yulab-smu.top/treedata-book/.
Yu, Guangchuang, Tommy Tsan-Yuk Lam, Huachen Zhu, and Yi Guan. 2018. “Two Methods for Mapping and Visualizing Associated Data on Phylogeny Using Ggtree.” Molecular Biology and Evolution 35 (2): 3041–3. https://doi.org/10.1093/molbev/msy194.
Yu, Guangchuang, David Smith, Huachen Zhu, Yi Guan, and Tommy Tsan-Yuk Lam. 2017. “Ggtree: An R Package for Visualization and Annotation of Phylogenetic Trees with Their Covariates and Other Associated Data.” Methods in Ecology and Evolution 8 (1): 28–36. https://doi.org/10.1111/2041-210X.12628.