Analysis of network structure of TWLZ before and after the Covid pandemic. Paper for Networks21
The dataset used in this analysis is a collection of tweets with the hashtag #twitterlehrerzimmer from 1 April 2019 - 7. October 2020. In total, in 1,5 years 207984 tweets have been collected with the TAGS tool (https://tags.hawksey.info). The archive of tweets can be browsed here https://hawksey.info/tagsexplorer/arc.html?key=1FCQcodCvu0e2pzGpjdqoM6DnwstYK-m0WxinBmiyPP4&gid=400689247 (long loading times) and the data is available in an OSF Project over here https://osf.io/c7eqz/.
The analysis consists of three parts: A.) Covering data preparation and frequency statistics, B.) Transfer of data to nodes and edges for further analysis and visualization and part C.) Calculation of some basic network statistics.
A. Data preparation and cleaning
1. Installation of packages
In a first step we install all required packages.
#install.packages("dplyr")
#install.packages("ggplot2")
#install.packages("network")
#install.packages("igraph")
#install.packages("tidyverse")
library(dplyr)##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionlibrary(ggplot2)
library(network)## network: Classes for Relational Data
## Version 1.16.1 created on 2020-10-06.
## copyright (c) 2005, Carter T. Butts, University of California-Irvine
## Mark S. Handcock, University of California -- Los Angeles
## David R. Hunter, Penn State University
## Martina Morris, University of Washington
## Skye Bender-deMoll, University of Washington
## For citation information, type citation("network").
## Type help("network-package") to get started.library(igraph)##
## Attaching package: 'igraph'## The following objects are masked from 'package:network':
##
## %c%, %s%, add.edges, add.vertices, delete.edges, delete.vertices,
## get.edge.attribute, get.edges, get.vertex.attribute, is.bipartite,
## is.directed, list.edge.attributes, list.vertex.attributes,
## set.edge.attribute, set.vertex.attribute## The following objects are masked from 'package:dplyr':
##
## as_data_frame, groups, union## The following objects are masked from 'package:stats':
##
## decompose, spectrum## The following object is masked from 'package:base':
##
## unionlibrary(tidyverse)## ── Attaching packages ─────────────────────────────────────── tidyverse 1.3.0 ──## ✓ tibble 3.0.5 ✓ purrr 0.3.4
## ✓ tidyr 1.1.2 ✓ stringr 1.4.0
## ✓ readr 1.4.0 ✓ forcats 0.5.0## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## x tibble::as_data_frame() masks igraph::as_data_frame(), dplyr::as_data_frame()
## x purrr::compose() masks igraph::compose()
## x tidyr::crossing() masks igraph::crossing()
## x dplyr::filter() masks stats::filter()
## x igraph::groups() masks dplyr::groups()
## x dplyr::lag() masks stats::lag()
## x purrr::simplify() masks igraph::simplify()2. Import of data
We import the data. The data is a direct export from the TAGS archive as a CSV.
twlz <- read.csv("~/Publications/TwittLZ19/Data/final/twlz21.csv")3. Cleaning of empty rows
In case there are empty rows we need to exclude those before we can continue our analysis
library(dplyr)
twlz <- twlz %>% filter(!is.na(twlz$id_str))4. Reduction of data to full months
Since we want to produce statistics for full months only, we reduce the matrix to the timeframe April 2019 - September 2020.
twlz <- twlz[2054:210037,]5. We transpose the time columns into the POSIX format
twlz$time <- as.POSIXct(twlz$time, format = "%d/%m/%Y %H:%M:%S")
twlzdec19 <- twlz[format.Date(twlz$time, "%m")=="12" &
!is.na(twlz$time),]
twlzjan20 <- twlz[format.Date(twlz$time, "%m")=="01" &
!is.na(twlz$time),]
twlzfeb20 <- twlz[format.Date(twlz$time, "%m")=="02" &
!is.na(twlz$time),]
twlzmar20 <- twlz[format.Date(twlz$time, "%m")=="03" &
!is.na(twlz$time),]
twlzapr20 <- twlz[format.Date(twlz$time, "%m")=="04" &
!is.na(twlz$time),]
twlzmay20 <- twlz[format.Date(twlz$time, "%m")=="05" &
!is.na(twlz$time),]6. We produce a matrix with monthly statistics
tab <- table(cut(twlz$time, 'month'))
nrtweets <- data.frame(Date=format(as.Date(names(tab)), '%m/%Y'),
Frequency=as.vector(tab))
nrtweets$Date <- factor(nrtweets$Date, levels = nrtweets$Date)7. Now we plot a basic barplot and lables and titles
library(ggplot2)
p<-ggplot(data=nrtweets, aes(x=Date, y=Frequency)) +
geom_bar(stat="identity", width=0.8, fill="steelblue")+
theme_minimal()
p
B. Preparation of network objects
After having organized and cleaned our data in a previous step, we prepare the data now for SNA. We follow a tutorial by Jesse Sadler https://www.jessesadler.com/post/network-analysis-with-r/ As a first step, we need to produce a list of edges and nodes from the data for each month variable that we need for comparison.
1. Creation of list of nodes 1.1 December 19
library(tidyverse)
sourcesdec19 <- twlzdec19 %>%
distinct(from_user) %>%
rename(label = from_user)
destinationsdec19 <- twlzdec19 %>%
distinct(in_reply_to_screen_name) %>%
rename(label = in_reply_to_screen_name)
nodesdec19 <- full_join(sourcesdec19, destinationsdec19, by = "label")
nodesdec19 <- nodesdec19 %>% rowid_to_column("id")1.2 January 20
sourcesjan20 <- twlzjan20 %>%
distinct(from_user) %>%
rename(label = from_user)
destinationsjan20 <- twlzjan20 %>%
distinct(in_reply_to_screen_name) %>%
rename(label = in_reply_to_screen_name)
nodesjan20 <- full_join(sourcesjan20, destinationsjan20, by = "label")
nodesjan20 <- nodesjan20 %>% rowid_to_column("id")1.3 February 20
sourcesfeb20 <- twlzfeb20 %>%
distinct(from_user) %>%
rename(label = from_user)
destinationsfeb20 <- twlzfeb20 %>%
distinct(in_reply_to_screen_name) %>%
rename(label = in_reply_to_screen_name)
nodesfeb20 <- full_join(sourcesfeb20, destinationsfeb20, by = "label")
nodesfeb20 <- nodesfeb20 %>% rowid_to_column("id")1.4 March 20
sourcesmar20 <- twlzmar20 %>%
distinct(from_user) %>%
rename(label = from_user)
destinationsmar20 <- twlzmar20 %>%
distinct(in_reply_to_screen_name) %>%
rename(label = in_reply_to_screen_name)
nodesmar20 <- full_join(sourcesmar20, destinationsmar20, by = "label")
nodesmar20 <- nodesmar20 %>% rowid_to_column("id")1.5 April 20
sourcesapr20 <- twlzapr20 %>%
distinct(from_user) %>%
rename(label = from_user)
destinationsapr20 <- twlzapr20 %>%
distinct(in_reply_to_screen_name) %>%
rename(label = in_reply_to_screen_name)
nodesapr20 <- full_join(sourcesapr20, destinationsapr20, by = "label")
nodesapr20 <- nodesapr20 %>% rowid_to_column("id")1.6 May 20
sourcesmay20 <- twlzmay20 %>%
distinct(from_user) %>%
rename(label = from_user)
destinationsmay20 <- twlzmay20 %>%
distinct(in_reply_to_screen_name) %>%
rename(label = in_reply_to_screen_name)
nodesmay20 <- full_join(sourcesmay20, destinationsmay20, by = "label")
nodesmay20 <- nodesmay20 %>% rowid_to_column("id")2. Creation of edges 2.1 Dec 19
per_routedec19 <- twlzdec19 %>%
group_by(from_user, in_reply_to_screen_name) %>%
summarise(weight = n()) %>%
ungroup()## `summarise()` has grouped output by 'from_user'. You can override using the `.groups` argument.edgesdec19 <- per_routedec19 %>%
left_join(nodesdec19, by = c("from_user" = "label")) %>%
rename(from = id)
edgesdec19 <- edgesdec19 %>%
left_join(nodesdec19, by = c("in_reply_to_screen_name" = "label")) %>%
rename(to = id)
edgesdec19 <- select(edgesdec19, from, to, weight)2.1 Jan 20
per_routejan20 <- twlzjan20 %>%
group_by(from_user, in_reply_to_screen_name) %>%
summarise(weight = n()) %>%
ungroup()## `summarise()` has grouped output by 'from_user'. You can override using the `.groups` argument.edgesjan20 <- per_routejan20 %>%
left_join(nodesjan20, by = c("from_user" = "label")) %>%
rename(from = id)
edgesjan20 <- edgesjan20 %>%
left_join(nodesjan20, by = c("in_reply_to_screen_name" = "label")) %>%
rename(to = id)
edgesjan20 <- select(edgesjan20, from, to, weight)2.2 Feb 20
per_routefeb20 <- twlzfeb20 %>%
group_by(from_user, in_reply_to_screen_name) %>%
summarise(weight = n()) %>%
ungroup()## `summarise()` has grouped output by 'from_user'. You can override using the `.groups` argument.edgesfeb20 <- per_routefeb20 %>%
left_join(nodesfeb20, by = c("from_user" = "label")) %>%
rename(from = id)
edgesfeb20 <- edgesfeb20 %>%
left_join(nodesfeb20, by = c("in_reply_to_screen_name" = "label")) %>%
rename(to = id)
edgesfeb20 <- select(edgesfeb20, from, to, weight)2.3 Mar 20
per_routemar20 <- twlzmar20 %>%
group_by(from_user, in_reply_to_screen_name) %>%
summarise(weight = n()) %>%
ungroup()## `summarise()` has grouped output by 'from_user'. You can override using the `.groups` argument.edgesmar20 <- per_routemar20 %>%
left_join(nodesmar20, by = c("from_user" = "label")) %>%
rename(from = id)
edgesmar20 <- edgesmar20 %>%
left_join(nodesmar20, by = c("in_reply_to_screen_name" = "label")) %>%
rename(to = id)
edgesmar20 <- select(edgesmar20, from, to, weight)2.4 Apr 20
per_routeapr20 <- twlzapr20 %>%
group_by(from_user, in_reply_to_screen_name) %>%
summarise(weight = n()) %>%
ungroup()## `summarise()` has grouped output by 'from_user'. You can override using the `.groups` argument.edgesapr20 <- per_routeapr20 %>%
left_join(nodesapr20, by = c("from_user" = "label")) %>%
rename(from = id)
edgesapr20 <- edgesapr20 %>%
left_join(nodesapr20, by = c("in_reply_to_screen_name" = "label")) %>%
rename(to = id)
edgesapr20 <- select(edgesapr20, from, to, weight)2.5 May 20
per_routemay20 <- twlzmay20 %>%
group_by(from_user, in_reply_to_screen_name) %>%
summarise(weight = n()) %>%
ungroup()## `summarise()` has grouped output by 'from_user'. You can override using the `.groups` argument.edgesmay20 <- per_routemay20 %>%
left_join(nodesmay20, by = c("from_user" = "label")) %>%
rename(from = id)
edgesmay20 <- edgesmay20 %>%
left_join(nodesmay20, by = c("in_reply_to_screen_name" = "label")) %>%
rename(to = id)
edgesmay20 <- select(edgesmay20, from, to, weight)3. Creation of network object for network package and basic visulization This needs to be done for all month-variables.
library(network)
nodesmay20$label <- as.character(nodesmay20$label)
routes_network_may20 <- network(edgesmay20, vertex.attr = nodesmay20, matrix.type = "edgelist", ignore.eval = FALSE)
class(routes_network_may20)## [1] "network"plot(routes_network_may20, vertex.cex = 3)
4. Creation of network object for iGraph and basic visualization This needs to be done for all month-variables.
detach(package:network)
rm(routes_network_may20)
library(igraph)
gmay20 <- graph_from_data_frame(d = edgesmay20, vertices = nodesmay20, directed = TRUE)
plot(gmay20, edge.arrow.size = 0.2)
C. Descriptive statistics We calculate now for each month basic descriptive statistics. This needs to be done for all month-variables.
size_may20 <- vcount(gmay20)
vcount(gmay20)## [1] 6616mean_distance(gmay20)## [1] 1.139674centralization.degree(gmay20,normalized = TRUE)## $res
## [1] 1 1 1 1 1 1 3 1 1 1 1 3 1 2
## [15] 1 1 3 1 1 1 1 1 1 1 1 1 3 1
## [29] 1 1 1 5 10 1 2 1 3 1 2 1 1 1
## [43] 1 2 2 1 4 8 1 1 1 2 6 3 1 1
## [57] 1 1 7 1 2 1 1 1 1 9 1 1 1 4
## [71] 2 1 4 1 1 3 1 1 2 1 1 2 1 1
## [85] 3 2 1 1 5 1 1 4 1 1 2 1 3 1
## [99] 1 3 4 2 5 1 1 1 1 1 1 4 3 1
## [113] 1 2 1 2 2 3 1 3 1 1 1 1 2 1
## [127] 1 2 2 4 1 1 1 1 1 1 1 1 1 1
## [141] 1 5 1 1 6 2 1 1 1 5 3 1 1 1
## [155] 1 1 1 4 1 1 1 1 1 1 1 1 1 1
## [169] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [183] 1 1 1 1 1 1 1 1 1 1 3 1 3 1
## [197] 1 1 1 1 2 1 1 3 1 1 1 1 1 1
## [211] 1 1 1 1 1 1 1 3 6 1 1 1 1 1
## [225] 1 1 1 1 3 2 1 1 1 1 1 1 1 1
## [239] 1 22 1 1 1 1 1 1 1 1 1 1 1 1
## [253] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [267] 1 1 1 3 1 1 1 2 1 1 1 1 1 1
## [281] 1 1 1 1 1 1 1 1 1 1 1 1 3 3
## [295] 1 1 1 3 1 1 1 1 1 1 3 1 1 4
## [309] 1 4 6 1 1 1 2 1 2 1 1 6 1 3
## [323] 1 3 1 1 1 3 1 4 1 1 3 1 1 1
## [337] 1 1 1 1 1 1 4 1 1 1 1 2 1 1
## [351] 1 1 1 1 1 4 1 1 1 5 1 1 7 1
## [365] 1 1 1 3 1 1 1 1 1 2 1 1 2 3
## [379] 1 1 1 3 1 1 1 4 1 1 2 1 1 1
## [393] 1 1 1 1 1 1 3 1 1 1 1 1 2 1
## [407] 1 1 1 1 1 1 1 1 1 1 9 1 1 1
## [421] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [435] 1 1 2 1 3 1 2 1 6 2 9 1 1 1
## [449] 1 1 1 1 1 1 5 1 1 1 1 1 2 1
## [463] 7 1 2 1 2 1 1 3 1 1 1 1 1 1
## [477] 1 1 1 1 1 1 1 3 1 1 1 1 1 1
## [491] 1 1 1 1 1 1 1 3 1 3 1 1 1 1
## [505] 1 2 1 1 1 2 1 1 1 1 1 2 2 1
## [519] 2 1 1 3 1 1 1 1 1 1 1 1 1 1
## [533] 1 1 1 1 3 1 1 2 1 1 1 1 1 2
## [547] 1 1 1 1 1 1 14 1 1 1 1 1 2 1
## [561] 1 1 12 1 1 1 1 1 1 1 1 1 1 16
## [575] 1 1 1 1 1 1 1 1 1 1 4 1 1 6
## [589] 1 1 1 4 1 1 1 1 1 1 1 7 1 1
## [603] 2 1 1 1 1 1 1 1 1 1 1 1 2 1
## [617] 1 1 1 2 1 1 3 1 1 2 1 1 1 1
## [631] 1 1 1 1 1 1 1 1 1 2 2 1 1 1
## [645] 1 1 3 1 1 1 2 2 1 1 1 1 1 1
## [659] 2 2 1 1 1 1 1 1 1 1 1 2 1 1
## [673] 1 1 5 1 1 1 1 1 1 1 1 1 1 1
## [687] 1 1 1 1 1 1 1 1 1 1 1 3 4 1
## [701] 1 1 1 1 1 3 2 1 1 1 1 1 1 5
## [715] 1 1 1 2 1 1 2 1 4 1 2 1 1 1
## [729] 2 1 1 1 1 2 5 1 1 1 1 1 1 4
## [743] 1 1 4 1 1 1 1 1 1 1 1 1 1 1
## [757] 1 1 1 3 1 1 1 1 1 1 1 1 1 1
## [771] 1 1 1 1 1 2 1 1 1 1 1 3 1 1
## [785] 1 2 1 1 1 1 1 2 1 2 1 1 1 1
## [799] 1 1 1 1 2 1 1 1 3 1 1 2 6 1
## [813] 1 1 4 2 1 1 2 2 1 1 1 1 3 3
## [827] 1 4 1 1 1 1 1 1 1 3 1 2 1 1
## [841] 1 1 1 1 1 1 1 3 1 1 1 3 1 1
## [855] 1 1 1 2 1 1 1 1 1 2 3 1 1 3
## [869] 1 1 4 1 1 1 1 2 1 1 1 1 1 1
## [883] 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [897] 2 2 1 1 1 1 2 1 1 1 1 4 1 1
## [911] 1 1 1 1 1 1 1 1 1 1 1 2 2 1
## [925] 1 3 1 1 1 1 1 5 1 1 1 1 12 2
## [939] 2 1 1 1 1 4 1 1 1 3 1 1 1 1
## [953] 3 2 5 1 1 1 1 1 1 3 2 4 1 3
## [967] 1 2 3 1 1 1 1 1 1 1 1 1 3 1
## [981] 1 1 1 1 1 1 1 1 1 1 1 2 3 1
## [995] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1009] 7 1 2 1 1 1 3 1 4 1 1 2 1 2
## [1023] 1 9 1 1 1 3 1 1 1 1 1 1 1 1
## [1037] 1 2 1 1 5 1 1 1 1 1 1 1 1 1
## [1051] 1 3 1 3 2 1 3 1 1 1 1 1 1 1
## [1065] 1 8 1 1 1 1 1 1 1 1 2 2 3 1
## [1079] 1 1 1 2 1 1 1 1 3 1 1 1 1 1
## [1093] 3 1 2 1 1 1 1 1 1 1 1 1 1 2
## [1107] 1 1 1 1 2 1 1 1 1 3 1 1 1 2
## [1121] 3 2 1 1 1 2 1 1 1 1 1 1 1 1
## [1135] 1 1 7 1 2 1 1 2 1 1 1 1 1 1
## [1149] 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [1163] 4 1 1 1 2 3 1 1 1 1 1 1 1 1
## [1177] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1191] 1 3 1 1 1 3 1 1 2 1 2 1 1 1
## [1205] 1 1 1 1 1 1 1 1 1 1 1 1 2 1
## [1219] 1 5 1 2 1 1 1 1 1 1 1 1 1 1
## [1233] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1247] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1261] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1275] 1 1 1 1 1 1 1 1 2 3 1 2 2 1
## [1289] 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1303] 9 1 1 3 1 1 1 1 1 4 1 1 1 1
## [1317] 1 1 1 1 1 1 3 1 1 1 1 1 1 1
## [1331] 1 1 3 1 1 2 1 1 1 1 1 1 1 1
## [1345] 1 1 1 3 1 1 3 1 1 1 1 1 1 1
## [1359] 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1373] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1387] 1 1 1 1 1 1 1 1 1 5 1 1 1 1
## [1401] 2 1 1 1 5 1 1 1 1 1 1 1 1 1
## [1415] 1 1 1 1 1 1 1 1 3 1 1 1 2 2
## [1429] 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1443] 1 1 1 1 1 1 1 1 1 1 3 1 1 1
## [1457] 1 1 1 1 1 1 1 2 1 1 1 2 3 1
## [1471] 1 1 1 1 2 1 1 1 1 1 1 1 2 1
## [1485] 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [1499] 1 1 1 1 1 1 1 2 1 1 1 3 1 1
## [1513] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1527] 2 4 1 1 1 1 1 1 2 1 1 2 1 1
## [1541] 1 1 1 1 1 1 1 1 1 1 1 1 1 3
## [1555] 3 1 1 1 1 1 1 3 1 1 1 1 1 3
## [1569] 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [1583] 1 2 1 1 1 1 1 1 1 3 1 2 1 1
## [1597] 1 1 2 1 1 1 1 2 1 1 1 1 1 1
## [1611] 1 1 1 1 1 3 1 1 1 1 1 1 1 1
## [1625] 1 1 1 1 1 1 1 1 1 1 1 2 1 1
## [1639] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1653] 1 1 1 1 2 1 3 1 1 1 1 1 1 4
## [1667] 1 1 1 3 1 1 1 1 1 1 1 1 1 1
## [1681] 1 1 1 1 1 1 1 2 1 1 1 1 1 1
## [1695] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1709] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1723] 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [1737] 1 1 1 1 1 1 2 1 1 1 1 1 1 2
## [1751] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1765] 3 3 1 2 1 1 1 1 1 1 1 1 1 1
## [1779] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1793] 1 1 1 1 1 1 1 1 1 1 1 1 1 3
## [1807] 3 1 1 1 1 1 1 1 1 1 1 1 1 3
## [1821] 1 1 1 1 1 1 1 1 1 1 1 4 1 1
## [1835] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1849] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1863] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1877] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1891] 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [1905] 1 1 1 1 1 1 1 2 1 3 1 1 1 2
## [1919] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1933] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1947] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1961] 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [1975] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1989] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2003] 1 1 1 1 1 1 1 1 1 1 1 1 1 4
## [2017] 1 1 1 1 1 1 3 1 1 1 1 1 1 1
## [2031] 1 1 1 2 1 1 1 1 1 1 1 1 1 1
## [2045] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2059] 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [2073] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2087] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2101] 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [2115] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2129] 1 1 1 1 3 1 1 1 1 1 1 1 1 1
## [2143] 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [2157] 1 1 4 1 1 1 1 1 1 1 1 1 3 1
## [2171] 1 1 1 1 1 1 1 1 1 1 1 1 2 1
## [2185] 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [2199] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2213] 1 1 2 1 1 1 1 2 1 1 1 1 1 1
## [2227] 1 1 1 1 1 2 1 1 1 1 1 1 1 1
## [2241] 1 1 1 1 1 1 1 3 1 1 1 1 1 1
## [2255] 1 1 1 1 1 1 1 1 1 1 1 1 2 1
## [2269] 1 1 1 1 1 1 1 1 1 1 3 1 1 1
## [2283] 1 1 1 1 1 1 1 1 1 1 1 5 1 3
## [2297] 1 1 3 1 3 1 1 2 1 14 1 2 1 1
## [2311] 1 2 1 1 3 1 1 2 1 1 5 1 1 1
## [2325] 1 1 1 2 1 1 3 1 1 2 1 1 1 1
## [2339] 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [2353] 1 1 1 1 1 4 1 1 3 1 1 1 1 1
## [2367] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2381] 3 1 1 1 1 1 1 1 1 1 1 2 1 1
## [2395] 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [2409] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2423] 1 1 1 1 4 1 1 1 1 1 1 1 2 1
## [2437] 1 1 1 1 2 1 1 1 1 1 1 1 1 1
## [2451] 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [2465] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2479] 1 1 1 1 1 1 4 1 1 1 1 1 1 1
## [2493] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2507] 1 1 1 1 1 1 1 4 2 1 1 1 1 1
## [2521] 2 1 1 1 1 1 1 1 4 1 1 1 1 1
## [2535] 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [2549] 2 1 1 1 1 1 2 1 1 1 1 1 1 1
## [2563] 1 1 1 1 1 3 1 2 1 1 1 1 1 3
## [2577] 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [2591] 1 1 1 1 1 1 2 1 1 1 1 3 1 2
## [2605] 1 1 1 1 1 1 4 1 1 3 1 1 1 1
## [2619] 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2633] 1 2 1 1 1 1 1 1 2 1 1 3 1 1
## [2647] 1 1 1 1 1 2 1 1 1 1 1 1 1 1
## [2661] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2675] 1 2 4 1 1 1 1 1 1 1 2 1 1 1
## [2689] 1 1 1 1 1 1 1 2 1 1 1 1 1 1
## [2703] 1 3 1 1 1 1 1 1 1 2 1 1 1 1
## [2717] 1 1 1 1 1 1 1 1 1 1 1 1 1 3
## [2731] 1 2 2 1 1 1 1 1 1 1 1 1 1 1
## [2745] 2 1 1 1 3 1 1 1 1 1 1 1 1 1
## [2759] 1 1 1 1 1 1 1 1 2 1 1 2 9 1
## [2773] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2787] 3 1 1 1 1 1 1 1 1 1 1 1 3 1
## [2801] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2815] 1 1 1 1 1 1 1 1 1 1 3 1 2 1
## [2829] 1 1 1 1 1 1 1 1 1 1 2 1 4 1
## [2843] 1 1 1 1 1 1 3 1 1 1 1 1 1 1
## [2857] 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [2871] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2885] 1 1 1 1 1 1 1 1 3 1 1 1 1 1
## [2899] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2913] 1 1 1 1 1 2 1 1 1 2 1 1 1 1
## [2927] 1 1 1 1 1 1 1 1 1 1 1 1 2 1
## [2941] 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [2955] 1 1 1 2 1 1 1 1 3 1 1 1 1 1
## [2969] 1 1 1 1 1 2 1 1 1 1 3 1 1 1
## [2983] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2997] 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3011] 3 2 1 1 1 1 1 1 1 1 1 1 1 1
## [3025] 1 1 1 1 2 1 1 4 1 1 1 3 2 1
## [3039] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3053] 1 1 1 2 1 1 1 1 1 1 1 1 1 1
## [3067] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3081] 1 1 1 1 3 1 1 1 1 1 1 1 1 1
## [3095] 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [3109] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3123] 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [3137] 3 2 1 1 1 1 1 1 1 1 1 1 1 1
## [3151] 1 1 1 1 1 1 1 1 5 1 1 1 1 2
## [3165] 1 3 1 1 1 2 1 1 1 1 1 1 2 1
## [3179] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3193] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3207] 1 1 1 1 1 1 1 1 2 1 1 1 1 1
## [3221] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3235] 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [3249] 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [3263] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3277] 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3291] 1 2 1 1 2 1 1 1 1 1 1 1 1 1
## [3305] 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [3319] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3333] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3347] 1 1 1 1 1 1 1 1 2 1 1 1 2 1
## [3361] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3375] 1 1 3 1 1 1 1 1 1 1 1 1 1 1
## [3389] 1 1 1 1 1 1 1 1 1 3 1 1 1 1
## [3403] 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [3417] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3431] 1 1 1 1 1 1 1 1 1 1 1 1 1 3
## [3445] 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [3459] 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3473] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3487] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3501] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3515] 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [3529] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3543] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3557] 1 1 1 1 1 1 1 1 2 1 1 1 1 1
## [3571] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3585] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3599] 1 1 1 1 1 3 1 1 1 1 2 1 1 1
## [3613] 1 1 1 1 3 1 1 1 1 1 1 1 1 1
## [3627] 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [3641] 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [3655] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3669] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3683] 1 1 1 3 1 3 1 1 1 1 1 1 1 1
## [3697] 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [3711] 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [3725] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3739] 1 1 1 1 1 1 1 1 1 1 1 2 1 1
## [3753] 1 1 1 1 1 1 1 1 1 1 1 2 1 1
## [3767] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3781] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3795] 1 1 1 1 1 3 1 1 1 1 1 1 1 1
## [3809] 1 1 3 1 1 1 1 1 1 1 1 1 1 1
## [3823] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3837] 1 1 2 1 1 1 1 2 1 1 1 1 1 1
## [3851] 1 1 1 3 1 1 1 1 1 1 1 1 1 1
## [3865] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3879] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3893] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3907] 1 1 1 1 3 1 1 1 1 1 1 2 1 1
## [3921] 1 1 3 1 1 1 1 1 1 1 1 1 1 1
## [3935] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3949] 1 1 1 1 1 1 2 1 3 1 1 1 1 1
## [3963] 1 1 2 1 1 1 1 2 1 1 1 1 1 1
## [3977] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3991] 1 1 1 1 1 1 1 1 1 2 3 1 1 2
## [4005] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4019] 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [4033] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4047] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4061] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4075] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4089] 1 1 1 1 1 1 1 1 1 4 1 1 1 1
## [4103] 1 1 1 1 1 1 1 1 1 1 1 2 1 1
## [4117] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4131] 1 1 1 2 3 1 1 1 1 1 1 1 1 1
## [4145] 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [4159] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4173] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4187] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4201] 1 1 1 1 1 1 1 1 2 1 1 1 1 1
## [4215] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4229] 2 1 1 1 1 1 1 1 1 2 1 1 2 1
## [4243] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4257] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4271] 1 1 1 1 1 1 5 1 1 1 1 1 1 1
## [4285] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4299] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4313] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4327] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4341] 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4355] 1 1 1 1 1 1 4 1 1 1 1 1 1 1
## [4369] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4383] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4397] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4411] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4425] 3 1 1 1 1 1 1 1 1 1 2 1 1 1
## [4439] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4453] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4467] 2 1 2 1 1 1 1 1 1 1 3 1 1 1
## [4481] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4495] 1 1 1 1 1 1 3 1 1 1 2 1 1 1
## [4509] 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [4523] 1 1 1 1 1 1 1 3 1 1 1 1 1 1
## [4537] 1 1 1 2 1 1 1 1 1 1 1 1 1 1
## [4551] 1 1 1 1 1 2 2 1 1 1 1 2 1 1
## [4565] 1 1 1 1 1 1 1 3 1 1 1 1 1 1
## [4579] 2 1 1 1 1 1 1 1 1 1 1 2 1 1
## [4593] 1 1 1 3 1 1 2 1 1 1 1 1 1 1
## [4607] 1 1 1 1 1 1 1 1 1 1 1 2 1 1
## [4621] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4635] 1 1 1 2 1 1 1 1 1 1 1 1 1 1
## [4649] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4663] 1 2 1 1 1 1 1 1 1 1 1 1 1 2
## [4677] 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [4691] 1 1 1 1 1 2 1 1 1 1 1 1 1 1
## [4705] 1 1 1 1 1 1 1 1 1 1 3 1 1 1
## [4719] 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [4733] 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [4747] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4761] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4775] 1 1 1 1 2 1 3 1 1 1 1 1 1 1
## [4789] 1 1 1 1 1 1 1 1 1 3 1 1 4 6
## [4803] 1 2 1 2 1 1 1 1 1 1 1 1 1 2
## [4817] 1 1 1 2 1 1 1 1 1 1 1 1 1 1
## [4831] 1 1 3 1 6 3 1 1 1 1 1 2 1 1
## [4845] 7 1 1 1 1 1 1 2 3 1 4 1 1 4
## [4859] 1 1 1 3 1 1 1 1 1 1 1 1 2 1
## [4873] 1 1 1 2 3 1 1 2 2 1 6 1 3 1
## [4887] 1 1 2 3 1 1 1 1 1 6 1 1 1 1
## [4901] 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [4915] 1 3 2 2 2 1 2 1 1 2 1 1 1 2
## [4929] 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [4943] 2 1 1 1 1 1 1 2 1 1 1 1 1 1
## [4957] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4971] 1 1 1 1 1 2 1 1 1 1 1 1 1 1
## [4985] 1 4 1 1 5 9 4 2 1 1 1 1 1 2
## [4999] 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [5013] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5027] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5041] 1 1 1 1 1 1 1 3 2 1 2 1 1 1
## [5055] 1 1 1 1 1 2 1 1 1 1 1 2 1 1
## [5069] 1 3 3 1 1 1 1 3 1 1 1 1 1 1
## [5083] 1 1 5 1 1 1 1 3 1 1 1 1 3 1
## [5097] 1 1 1 1 1 1 1 1 1 1 2 3 1 1
## [5111] 1 2 1 1 1 1 2 2 1 1 1 1 1 1
## [5125] 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [5139] 1 1 4 1 1 1 1 1 1 1 1 1 1 1
## [5153] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5167] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5181] 2 2 1 1 1 1 1 2 1 1 1 1 1 1
## [5195] 1 2 1 1 1 1 1 1 1 1 1 1 3 1
## [5209] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5223] 1 1 1 1 1 5 1 1 1 1 1 1 1 1
## [5237] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5251] 1 1 2 1 1 1 1 1 1 1 1 1 1 3
## [5265] 1 1 1 1 2 1 1 1 1 1 1 1 2 1
## [5279] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5293] 1 1 1 1 2 1 1 2 1 1 1 1 1 1
## [5307] 4 1 2 1 1 1 1 1 1 1 1 1 1 1
## [5321] 2 1 1 1 1 1 1 1 1 1 1 3 1 1
## [5335] 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [5349] 1 1 1 1 1 1 1 1 1 1 1 1 2 1
## [5363] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5377] 1 1 1 1 1 1 1 2 1 1 1 1 2 1
## [5391] 1 1 1 1 1 3 1 1 1 1 1 1 1 1
## [5405] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5419] 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [5433] 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [5447] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5461] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5475] 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [5489] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5503] 1 1 1 1 1 1 5 1 1 1 1 1 1 1
## [5517] 1 1 1 1 2 1 1 1 2 1 1 1 1 1
## [5531] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5545] 1 3 1 1 1 1 1 1 1 1 2 1 1 1
## [5559] 1 1 1 1 3 1 1 1 1 1 1 1 3 1
## [5573] 1 1 4 1 1 1 1 1 1 1 3 1 1 1
## [5587] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5601] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5615] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5629] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5643] 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [5657] 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [5671] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5685] 1 1 1 1 1 2 1 1 1 1 1 1 1 1
## [5699] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5713] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5727] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5741] 1 1 1 1 1 1 1 1 1 2 1 1 1 2
## [5755] 1 1 1 2 1 1 1 1 3 1 1 1 1 1
## [5769] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5783] 1 1 1 2 1 1 1 1 1 1 2 1 1 1
## [5797] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5811] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5825] 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5839] 1 1 1 1 1 1 1 2 1 1 1 2 1 1
## [5853] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5867] 1 1 1 2 1 1 1 1 1 1 1 1 3 1
## [5881] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5895] 1 1 1 1 1 1 1 3 1 1 1 1 2 1
## [5909] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5923] 1 1 1 1 1 2 1 1 1 1 1 1 1 1
## [5937] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5951] 3 1 1 1 1 1 1 1 3 1 1 1 1 1
## [5965] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5979] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5993] 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [6007] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6021] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6035] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6049] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6063] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6077] 1 1 1 1 1 1 1 1 1 1 1 1 3 1
## [6091] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6105] 1 1 1 1 1 1 1 1 1 1 1 1 2 1
## [6119] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6133] 1 1 1 1 1 1 1 1 1 1 1 1 3 1
## [6147] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6161] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6175] 2 1 1 2 1 1 1 1 1 1 1 1 1 1
## [6189] 1 1 2 1 2 1 1 1 1 1 1 1 1 1
## [6203] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6217] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6231] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6245] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6259] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6273] 1 1 1 1 1 1 1 2 1 1 1 1 1 1
## [6287] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6301] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6315] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6329] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6343] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6357] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6371] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6385] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6399] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6413] 1 1 1 2 1 1 1 1 1 1 1 1 1 1
## [6427] 2 1 1 1 1 2 1 1 1 1 1 1 1 1
## [6441] 1 1 1 1 1 1 1 1 1 1 1 1 6339 1
## [6455] 1 1 1 1 2 1 1 1 1 1 1 1 1 1
## [6469] 1 1 1 1 3 1 1 1 1 1 1 1 1 1
## [6483] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6497] 1 1 1 1 1 1 1 1 2 2 1 1 2 1
## [6511] 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6525] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6539] 1 1 1 1 1 1 1 1 1 1 3 1 1 1
## [6553] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6567] 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [6581] 2 1 1 1 1 1 1 1 2 1 1 1 1 2
## [6595] 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6609] 1 1 1 1 1 1 1 1
##
## $centralization
## [1] 0.4790484
##
## $theoretical_max
## [1] 87516450centralization.betweenness(gmay20,normalized = TRUE)## $res
## [1] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [7] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [13] 0.0000000 0.3333333 0.0000000 0.0000000 1.0000000 0.0000000
## [19] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [25] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [31] 0.0000000 2.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [37] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [43] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 6.0000000
## [49] 0.0000000 0.0000000 0.0000000 0.0000000 8.0000000 0.0000000
## [55] 0.0000000 0.0000000 0.0000000 0.0000000 24.0000000 0.0000000
## [61] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [67] 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000
## [73] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [79] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [85] 0.0000000 0.0000000 0.0000000 0.0000000 2.0000000 0.0000000
## [91] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [97] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [103] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [109] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [115] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [121] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [127] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [133] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [139] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [145] 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [151] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [157] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [163] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [169] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [175] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [181] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [187] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [193] 8.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [199] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [205] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [211] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [217] 0.0000000 0.0000000 8.0000000 0.0000000 0.0000000 0.0000000
## [223] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [229] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [235] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 91.0000000
## [241] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [247] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [253] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [259] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [265] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
## [271] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [277] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [283] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [289] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
## [295] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [301] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [307] 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000
## [313] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [319] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [325] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [331] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [337] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [343] 2.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [349] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [355] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [361] 0.0000000 0.0000000 6.0000000 0.0000000 0.0000000 0.0000000
## [367] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [373] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [379] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [385] 0.0000000 36.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [391] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [397] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [403] 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000
## [409] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [415] 0.0000000 0.0000000 37.0000000 0.0000000 0.0000000 0.0000000
## [421] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [427] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [433] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [439] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [445] 9.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [451] 0.0000000 0.0000000 0.0000000 0.0000000 91.0000000 0.0000000
## [457] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [463] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [469] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [475] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [481] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [487] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [493] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [499] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [505] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [511] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
## [517] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [523] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [529] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [535] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [541] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [547] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [553] 152.3333333 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [559] 1.0000000 0.0000000 0.0000000 0.0000000 103.0000000 0.0000000
## [565] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [571] 0.0000000 0.0000000 0.0000000 77.0000000 0.0000000 0.0000000
## [577] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [583] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [589] 0.0000000 0.0000000 0.0000000 4.0000000 0.0000000 0.0000000
## [595] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 42.0000000
## [601] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [607] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [613] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [619] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [625] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [631] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [637] 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000
## [643] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [649] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [655] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [661] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [667] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [673] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [679] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [685] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [691] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [697] 0.0000000 0.0000000 3.0000000 0.0000000 0.0000000 0.0000000
## [703] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [709] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
## [715] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [721] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [727] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [733] 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000
## [739] 0.0000000 0.0000000 0.0000000 2.0000000 0.0000000 0.0000000
## [745] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [751] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [757] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [763] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [769] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [775] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [781] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [787] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [793] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [799] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [805] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [811] 0.0000000 0.0000000 0.0000000 0.0000000 13.0000000 0.0000000
## [817] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [823] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [829] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [835] 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [841] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [847] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [853] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [859] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [865] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [871] 9.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [877] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [883] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [889] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [895] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [901] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [907] 0.0000000 4.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [913] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [919] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [925] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [931] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [937] 31.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [943] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [949] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [955] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [961] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 2.0000000
## [967] 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [973] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [979] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [985] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [991] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [997] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1003] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1009] 4.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1015] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1021] 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1027] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1033] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1039] 0.0000000 0.0000000 4.0000000 0.0000000 0.0000000 0.0000000
## [1045] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1051] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1057] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1063] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1069] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1075] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1081] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1087] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1093] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1099] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1105] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1111] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1117] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1123] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1129] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1135] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1141] 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1147] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1153] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1159] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1165] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1171] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1177] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1183] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1189] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1195] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1201] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1207] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1213] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1219] 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1225] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1231] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1237] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1243] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1249] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1255] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1261] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1267] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1273] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1279] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1285] 0.0000000 0.0000000 0.0000000 0.0000000 10.0000000 0.0000000
## [1291] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1297] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1303] 15.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1309] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1315] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1321] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1327] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1333] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1339] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1345] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1351] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1357] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1363] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1369] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1375] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1381] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1387] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1393] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1399] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1405] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1411] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1417] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1423] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1429] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1435] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1441] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1447] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1453] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1459] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1465] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1471] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1477] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1483] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1489] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1495] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1501] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1507] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1513] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1519] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1525] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1531] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1537] 0.0000000 2.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1543] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1549] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1555] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1561] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1567] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1573] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1579] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1585] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1591] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1597] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1603] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1609] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1615] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1621] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1627] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1633] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1639] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1645] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1651] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1657] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1663] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1669] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1675] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1681] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1687] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1693] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1699] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1705] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1711] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1717] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1723] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1729] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1735] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1741] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1747] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1753] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1759] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1765] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1771] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1777] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1783] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1789] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1795] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1801] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1807] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1813] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1819] 0.0000000 3.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1825] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1831] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1837] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1843] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1849] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1855] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1861] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1867] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1873] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1879] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1885] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1891] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1897] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1903] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1909] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1915] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1921] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1927] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1933] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1939] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1945] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1951] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1957] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1963] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1969] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1975] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1981] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1987] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1993] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [1999] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2005] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2011] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2017] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2023] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2029] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2035] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2041] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2047] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2053] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2059] 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2065] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2071] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2077] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2083] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2089] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2095] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2101] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2107] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2113] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2119] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2125] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2131] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2137] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2143] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2149] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2155] 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000
## [2161] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2167] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2173] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2179] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2185] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2191] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2197] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2203] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2209] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2215] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2221] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2227] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2233] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2239] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2245] 0.0000000 0.0000000 0.0000000 4.0000000 0.0000000 0.0000000
## [2251] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2257] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2263] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2269] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2275] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2281] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2287] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2293] 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000
## [2299] 0.0000000 0.0000000 8.0000000 0.0000000 0.0000000 1.0000000
## [2305] 0.0000000 68.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2311] 0.0000000 6.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2317] 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000
## [2323] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2329] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2335] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2341] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2347] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2353] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 3.0000000
## [2359] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2365] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2371] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2377] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2383] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2389] 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000
## [2395] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2401] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2407] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2413] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2419] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2425] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2431] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2437] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2443] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2449] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2455] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2461] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2467] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2473] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2479] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2485] 3.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2491] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2497] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2503] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2509] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2515] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2521] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2527] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2533] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2539] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2545] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2551] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2557] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2563] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2569] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2575] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2581] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [2593] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2599] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2605] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2611] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2617] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2623] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2629] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2635] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2641] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2647] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2653] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2659] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2665] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2671] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2677] 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2683] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2689] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2695] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2701] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2707] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2713] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2719] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2725] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2731] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2737] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2743] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2749] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2755] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2761] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2767] 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000
## [2773] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2779] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2785] 0.0000000 0.0000000 18.0000000 0.0000000 0.0000000 0.0000000
## [2791] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2797] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2803] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2809] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2815] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2821] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2827] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2833] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2839] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2845] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2851] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2857] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2863] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2869] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2875] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2881] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2887] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2893] 2.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2899] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2905] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2911] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2917] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2923] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2929] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2935] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2941] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2947] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2953] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2959] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2965] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2971] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2977] 0.0000000 0.0000000 6.0000000 0.0000000 0.0000000 0.0000000
## [2983] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2989] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [2995] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3001] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3007] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3013] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3019] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3025] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3031] 0.0000000 14.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3037] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3043] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3049] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3055] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3061] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3067] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3073] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3079] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3085] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3091] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3097] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3103] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3109] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3115] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3121] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3127] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3133] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3139] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3145] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3151] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3157] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3163] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3169] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3175] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3181] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3187] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3193] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3199] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3205] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3211] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3217] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3223] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3229] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3235] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3241] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3247] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3253] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3259] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3265] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3271] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3277] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3283] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3289] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3295] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3301] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3307] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3313] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3319] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3325] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3331] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3337] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3343] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3349] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3355] 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000
## [3361] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3367] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3373] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3379] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3385] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3391] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3397] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3403] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3409] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3415] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3421] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3427] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3433] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3439] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
## [3445] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3451] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3457] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3463] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3469] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3475] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3481] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3487] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3493] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3499] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3505] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3511] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3517] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3523] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3529] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3535] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3541] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3547] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3553] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3559] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3565] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3571] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3577] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3583] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3589] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3595] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3601] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3607] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3613] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3619] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3625] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3631] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3637] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3643] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3649] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3655] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3661] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3667] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3673] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3679] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3685] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3691] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3697] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3703] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3709] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3715] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3721] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3727] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3733] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3739] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3745] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3751] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3757] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3763] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3769] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3775] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3781] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3787] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3793] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3799] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3805] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3811] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3817] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3823] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3829] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3835] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3841] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3847] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3853] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3859] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3865] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3871] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3877] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3883] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3889] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3895] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3901] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3907] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3913] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3919] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3925] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3931] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3937] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3943] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3949] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3955] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3961] 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000
## [3967] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3973] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3979] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3985] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3991] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [3997] 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000
## [4003] 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4009] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4015] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4021] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4027] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4033] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4039] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4045] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4051] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4057] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4063] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4069] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4075] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4081] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4087] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4093] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 2.0000000
## [4099] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4105] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4111] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4117] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4123] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4129] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4135] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4141] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4147] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4153] 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000
## [4159] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4165] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4171] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4177] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4183] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4189] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4195] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4201] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4207] 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000
## [4213] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4219] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4225] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4231] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4237] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4243] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4249] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4255] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4261] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4267] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4273] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4279] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4285] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4291] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4297] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4303] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4309] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4315] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4321] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4327] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4333] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4339] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4345] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4351] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4357] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4363] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4369] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4375] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4381] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4387] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4393] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4399] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4405] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4411] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4417] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4423] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4429] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4435] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4441] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4447] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4453] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4459] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4465] 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000
## [4471] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4477] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4483] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4489] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4495] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4501] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4507] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4513] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4519] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4525] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4531] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [4567] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4573] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4579] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4585] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4591] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4597] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4603] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4609] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4615] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4621] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4627] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4633] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4639] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4645] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4651] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4657] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4663] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4669] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4675] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4681] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4687] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4693] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4699] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4705] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4711] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4717] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4723] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4729] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4735] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4741] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4747] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4753] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4759] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [4771] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4777] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4783] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4789] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4795] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4801] 0.0000000 6.0000000 0.0000000 0.0000000 0.0000000 1.0000000
## [4807] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4813] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4819] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4825] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4831] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4837] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4843] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4849] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4855] 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4861] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4867] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4873] 0.0000000 0.0000000 0.0000000 0.0000000 4.0000000 0.0000000
## [4879] 0.0000000 0.0000000 0.0000000 0.0000000 32.0000000 0.0000000
## [4885] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4891] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 5.0000000
## [4897] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4903] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4909] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4915] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4921] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4927] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4933] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4939] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [4957] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4963] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [4975] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4981] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
## [4987] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [4993] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5011] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5017] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5023] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5029] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5041] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5053] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5071] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5077] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5083] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5089] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5095] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5101] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5107] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5113] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5119] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5125] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5131] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5137] 0.0000000 0.0000000 0.0000000 0.0000000 0.3333333 0.0000000
## [5143] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5197] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5203] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5209] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5221] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5227] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5293] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5305] 0.0000000 0.0000000 18.0000000 0.0000000 0.0000000 0.0000000
## [5311] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5473] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5479] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5497] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5593] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5623] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5737] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5743] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5779] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5785] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5791] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5809] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5821] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5827] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5833] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5839] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5845] 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5851] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5857] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5863] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5869] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5875] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5881] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5887] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5893] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5899] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5905] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5911] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5917] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5923] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5929] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5935] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5941] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5947] 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000
## [5953] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5965] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [5977] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5983] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5989] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [5995] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [6007] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6013] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [6037] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [6049] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6055] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
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## [6475] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6481] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6487] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6493] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6499] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6505] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6511] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6517] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6523] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6529] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6535] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6541] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6547] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6553] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6559] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6565] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6571] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6577] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6583] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6589] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6595] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6601] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6607] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## [6613] 0.0000000 0.0000000 0.0000000 0.0000000
##
## $centralization
## [1] 3.478665e-06
##
## $theoretical_max
## [1] 289416900150edge_density(gmay20)## [1] 0.0001623678reciprocity(gmay20)## [1] 0.003487358