AST 501 Bayesian Statistics
Md Monowar Hossain
2025-08-20
Chapter 01
Fig 1.1 (left)
n<-20
x<-0:n
del<-0.25
plot(range(x-del), c(0,0.4), xlab = "number infected in the sample", ylab = "probability", type = "n")
points(x-del, dbinom(x, n, 0.05), type = "h", col = gray(0.75), lwd=2)
points(x, dbinom(x, n, 0.1), type = "h", col = gray(0.5), lwd=2)
points(x+del, dbinom(x, n, 0.05), type = "h", col = gray(0), lwd=2)
legend(10, 0.4, legend = c(
expression(paste(theta," = 0.05", sep = "")),
expression(paste(theta," = 0.1", sep = "")),
expression(paste(theta," = 0.2", sep = ""))),
lwd = c(2,2,2),
col = gray(c(0.75,0.5,0)),
bty = "n"
)
library(ggplot2)
n<-20
x<- 0:20
del<-0.2
y1<-dbinom(x = x,size = 20,prob = .05)
y2<-dbinom(x = x,size = 20,prob = .1)
y3<-dbinom(x = x,size = 20,prob = .2)
ggplot()+
geom_linerange(mapping = aes(x = x-del,y = y1,ymin = 0,ymax = y1,colour = "Y1"))+
geom_linerange(mapping = aes(x = x,y = y2,ymin = 0,ymax = y2,colour = "Y2"))+
geom_linerange(mapping = aes(x = x+del,y = y3,ymin = 0,ymax = y3,colour = "Y3"))
plot(x-del, y1,type = "h" ,col="red1")
points(x,y2,type= "h",col="yellow")
points(x,y3,type= "h",col="blue")
Figure 1.1 (Right)
We plot the prior and posterior on the same axis where p(θ) ~ beta(2,20) and p(θ|y) ~ beta(2,40). If the prior p(θ) ~ beta(a,b) and the sampling model p(y|θ) ~binomial(n,θ) then the posterior is p(θ|y)~beta(a+y,b+n-y)
We set the prior parameters, observed data, and generate theta for the x axis for plotting the prior.
a<-2
b<-20
y<-0
theta<-seq(0, 1, length.out=500)
plot(theta, dbeta(theta, a, b),
type="l",
xlab=expression(paste("percentage infected in the population", theta,
sep = " ")),
ylab = "probability",
lwd = 2,
col = "gray",
ylim = c(0,16))
lines(theta, dbeta(theta, a+y, b+n-y), lwd = 2)
legend(0.6, 14, legend = c(
expression(paste(italic("p"),"(",theta,")", sep = "")),
expression(paste(italic("p"),"(",theta,"|",italic("y"),")", sep = ""))),
lwd = c(2,2),
col = c("grey", "black"),
bty="n")
## Lecture 2
pbeta(0.2,2,20)-pbeta(0.05,2,20)## [1] 0.6593258pbeta(0.1,2,40)## [1] 0.9260956mean<- 2/(2+40)
mean## [1] 0.04761905x<-seq(0,1,length=10000)
y<-dbeta(x,2,20) # prior
plot(x,y)
z<-dbeta(x,2,40) # posterior
plot(x,z)
ggplot()+
geom_line(aes(x = x,y = y,colour="prior"))+
geom_line(aes(x = x,y = z,colour="posterior"))
Figure 1.2 (Left)
library("graphics")
w<- seq(0, 25, length.out = 20)
theta_0<- seq(0, 0.5, length.out = 20)
y<-0
a<-2
b<-20
z <- matrix(0, nrow = length(w), ncol = length(theta_0))
for (i in 1: length(w)){
for( j in 1: length(theta_0)){
z[i,j]<- (w[i]*theta_0[j])/(w[i]+20)
}
}
contour(x = w,
y = theta_0,
z)
Figure 1.2 (Right)
library("graphics")
w<- seq(0, 25, length.out = 20)
theta_0<- seq(0, 0.5, length.out = 20)
y<-0
a<-2
b<-20
z <- matrix(0, nrow = length(w), ncol = length(theta_0))
for (i in 1: length(w)){
for( j in 1: length(theta_0)){
z[i,j]<- pbeta(q = 0.1,shape1 = (w[i]*theta_0[j]),shape2 = (w[i]*(1-theta_0[j])+20))
}
}
contour(x = w,
y = theta_0,
z)
Chapter 02
Figure 2.1 (Left)
x<-0:10
plot(x,dpois(x,2.1), type="h",lwd=1, xlab=expression(italic(y)), ylab= expression(paste(italic("p"),"(",italic("y"),"|",theta==2.1,")"))) 
Figure 2.1 (Right)
x<-0:100
plot(x,dpois(x,21), type="h",lwd=1, xlab=expression(italic(y)),ylab=
expression(paste(italic("p"),"(",italic("y"),"|",theta==21,")")) )
Figure 2.2 (Left)
mu<-10.75
sig<- .8
x<- seq(7.9,13.9,length=500)
plot(x,pnorm(x,mu,sig),type="l",ylab=expression(paste(italic("F"),"(",italic("y"),")")),xlab=
expression(italic(y)),lwd=1)
abline(h=c(0,.5,1),col="gray")
Figure 2.2 (Right)
plot(x,dnorm(x,mu,sig),type="l",ylab=expression(paste(italic("p"),"(",italic("y"),")")),
xlab=expression(italic(y)),lwd=1)
abline(v=mu,col="gray")
Chapter 03
Figure 3.4 (Top Left)
a<-1
b<-1
n<-5
y<-1
theta<-seq(0,1,length.out=500)
plot(theta, dbeta(theta, a, b),
type="l",
xlab=expression(theta),
ylab = "probability",
lwd = 2,
col = "gray",
ylim = c(0,3))
lines(theta, dbeta(theta, a+y, b+n-y), lwd = 2)
legend(0.6, 2.5, legend = c(
expression(paste(italic("p"),"(",theta,")")),
expression(paste(italic("p"),"(",theta,"|",italic("y"),")"))),
lwd = c(2,2),
col = c("gray", "black"),
bty = "n"
)
a=1
b=1
n=5
y=1
x<-seq(0,1,length=100)
plot(x = x,y=dbeta(x = x,shape1 = a,shape2 = b),type = "l",ylim = c(0,3))+
points(x = x,y=dbeta(x = x,shape1 = a+y,shape2 = b+n-y),type = "l")
## integer(0)Figure 3.4 (Top Right)
a<-3
b<-2
n<-5
y<-1
theta<-seq(0,1,length.out=500)
plot(theta, dbeta(theta, a, b),
type="l",
xlab=expression(theta),
ylab = "probability",
lwd = 2,
col = "gray",
ylim = c(0,3))
lines(theta, dbeta(theta, a+y, b+n-y), lwd = 2)
legend(0.6, 2.5, legend = c(
expression(paste(italic("p"),"(",theta,")")),
expression(paste(italic("p"),"(",theta,"|",italic("y"),")"))),
lwd = c(2,2),
col = c("gray", "black"),
bty = "n"
)
a=3
b=2
n=5
y=1
x<-seq(0,1,length=100)
plot(x = x,y=dbeta(x = x,shape1 = a,shape2 = b),type = "l",ylim = c(0,3))+
points(x = x,y=dbeta(x = x,shape1 = a+y,shape2 = b+n-y),type = "l")
## integer(0)Figure 3.4 (Bottom Left)
a<-1
b<-1
n<-100
y<-20
theta<-seq(0,1,length.out=500)
plot(theta, dbeta(theta, a, b),
type="l",
xlab=expression(theta),
ylab = "probability",
lwd = 2,
col = "gray",
ylim = c(0,10))
lines(theta, dbeta(theta, a+y, b+n-y), lwd = 2)
legend(0.6, 10, legend = c(
expression(paste(italic("p"),"(",theta,")")),
expression(paste(italic("p"),"(",theta,"|",italic("y"),")"))),
lwd = c(2,2),
col = c("gray", "black"),
bty = "n"
)
a=1
b=1
n=100
y=20
x<-seq(0,1,length=100)
plot(x = x,y=dbeta(x = x,shape1 = a,shape2 = b),type = "l",ylim = c(0,10))+
points(x = x,y=dbeta(x = x,shape1 = a+y,shape2 = b+n-y),type = "l")
## integer(0)Figure 3.4 (Bottom Right)
a<-3
b<-2
n<-100
y<-20
theta<-seq(0,1,length.out=500)
plot(theta, dbeta(theta, a, b),
type="l",
xlab=expression(theta),
ylab = "probability",
lwd = 2,
col = "gray",
ylim = c(0,10))
lines(theta, dbeta(theta, a+y, b+n-y), lwd = 2)
legend(0.6, 10, legend = c(
expression(paste(italic("p"),"(",theta,")")),
expression(paste(italic("p"),"(",theta,"|",italic("y"),")"))),
lwd = c(2,2),
col = c("gray", "black"),
bty = "n"
)
a=3
b=2
n=100
y=20
x<-seq(0,1,length=100)
plot(x = x,y=dbeta(x = x,shape1 = a,shape2 = b),type = "l",ylim = c(0,10))+
points(x = x,y=dbeta(x = x,shape1 = a+y,shape2 = b+n-y),type = "l")
## integer(0)Figure 3.10
If the sampling model is p(y|θ)~pois(θ), and the prior p(θ)~gamma(a,b), then the posterior distribution p(θ|y)~gamma(a+∑y,b+n)
a<-2
b<-1
n1<-111
sy1<-217
n2<-44
sy2<-66
theta<-seq(0,5, length.out=500)
plot(theta, dgamma(theta,a+sy1,b+n1), type = "l", xlab = expression(theta), ylab = "probability",
lwd=2, col="gray", ylim = c(0,3.5))
lines(theta, dgamma(theta, a+sy2, b+n2), lwd = 2)
lines(theta, dgamma(theta, a, b), lty= 2, lwd = 2)
legend(3.5, 3, legend = c(expression(paste(italic("p"),"(",theta[1],"|",italic("y"),")")),
expression(paste(italic("p"),"(",theta[2],"|",italic("y"),")")),
expression(paste(italic("p"),"(",theta,")"))),
lty = c(1,1,2), lwd = c(2,2,2), col = c("grey", "black", "black"), bty="n")
Chapter 04
Figure 4.1
sum_y<-66
n<-44
#True parameters for Gamma(68, 45) distribution.
a <- 68
b <- 45
(true_mean <- a / b)## [1] 1.511111(true_prob <- pgamma(1.75, shape = a, rate = b))## [1] 0.8998286qgamma(c(0.025,0.975), shape = a, rate = b)## [1] 1.173437 1.890836(true_quantile <- qgamma(0.975, shape = a, rate = b))## [1] 1.890836set.seed(1)
mc10<-rgamma(10,a+sum_y,b+n)
mc100<-rgamma(100,a+sum_y,b+n)
mc10000<-rgamma(10000,a+sum_y,b+n)
library(tidyverse)## Warning: package 'tidyverse' was built under R version 4.4.3## Warning: package 'lubridate' was built under R version 4.4.2## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr 1.1.4 ✔ readr 2.1.5
## ✔ forcats 1.0.0 ✔ stringr 1.5.1
## ✔ lubridate 1.9.3 ✔ tibble 3.2.1
## ✔ purrr 1.0.2 ✔ tidyr 1.3.1
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag() masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errorshist(mc10, freq = F)
curve(dgamma(x, a+sum_y, b+n), from = 0, to = 2, add = T)
hist(mc100, freq = F)
curve(dgamma(x, a+sum_y, b+n), from = 0, to = 2, add = T)
hist(mc10000, freq = F)
curve(dgamma(x, a+sum_y, b+n), from = 0, to = 2, add = T)
x<- seq(0.5,2.5,length=100)
theta<-dgamma(x = x,shape = 68,rate = 45)Figure 4.2
Estimates of the posterior mean, P r(θ < 1.75|y1, …, yn) and the 97.5% posterior quantile as a function of the number of Monte Carlo samples. Horizontal gray lines are the true values.
par(mfrow = c(1, 3), mar = c(4, 4, 3, 1))
set.seed(013)
sam = rgamma(n = 1000,68,45)
post_mean = NULL
cdf1.75 = NULL
quant97.5 = NULL
for (i in 1:1000){
post_mean[i] = mean(sam[1:i])
cdf1.75[i] = mean(sam[1:i] < 1.75)
quant97.5[i] = quantile(sam[1:i], 0.975)
}
create_plot_2 <- function(yaxes,ylab,h){
xaxes <- seq(1:1000)
plot(xaxes, yaxes, type = "l",col = "black", lwd = 1,xlab = "# of Monte Carlo samples",
ylab = ylab,
panel.first = grid())
# true value
abline(h = h, col = "gray", lwd = 2, lty = 2)
legend("topright",
legend = c("Monte Carlo estimate", "True value"),
col = c("black", "gray"),
lwd = c(2, 3),
lty = c(1, 2),
bty = "n")
}
create_plot_2(yaxes = post_mean,
ylab = "cumulative mean",
h = true_mean)
create_plot_2(yaxes = cdf1.75,
ylab = "cumulative cdf at 1.75",
h = true_prob)
create_plot_2(yaxes = quant97.5,
ylab = "cumulative 97.5% quantile",
h = true_quantile)
set.seed(13)
sam = rgamma(n = 1000,68,45)
post_mean = NULL
cdf1.75 = NULL
quant97.5 = NULL
for (i in 1:1000){
post_mean[i] = mean(sam[1:i])
cdf1.75[i] = mean(sam[1:i] < 1.75)
quant97.5[i] = quantile(sam[1:i], 0.975)
}
par(mfrow=c(1,3))
x<-seq(1:1000)
plot(x,post_mean,type = "l")
abline(h = true_mean,col="gray")
legend("topright",legend = c("Monte Carlo estimate", "True value"),col = c("black","gray"),lwd=c(1,2))
plot(x,cdf1.75,type = "l")
abline(h = true_prob,col="gray")
plot(x,quant97.5,type = "l")
abline(h = true_quantile,col="gray")
Figure 4.3
Monte Carlo approximations to the prior and posterior distributions of the log-odds.
par(mfrow = c(1, 2))
a <- 1 ; b <- 1 ; n0 <- 860 - 441 ; n1 <- 441
set.seed(006)
theta_prior_mc <- rbeta(10000, a, b)
gamma_prior_mc <- log(theta_prior_mc / (1 - theta_prior_mc))
theta_post_mc <- rbeta(10000, a + n1, b + n0)
gamma_post_mc <- log(theta_post_mc / (1 - theta_post_mc))
create_plot_3 <- function(dens){
plot(density(dens),
type = "l",
col = "gray",
lwd = 1,
ylab = expression(paste("p(", gamma, ")")),
xlab = expression(gamma),
main = "Prior distribution",
xlim = c(-4, 4))
}
create_plot_3.2 <- function(prio,post){
plot(density(prio, adjust = 1.5),
type = "l",
col = "gray",
lwd = 1,
xlab = expression(gamma),
ylab = "Density",
xlim = c(-4, 4),
main = "Prior and Posterior distribution",
ylim = c(0,6))
lines(density(post, adjust = 1.5),
col = "black",
lwd = 1)
legend("topright",
legend = c("Prior", "Posterior"),
col = c("gray", "black"),
lwd = 1,
bty = "n")
}
create_plot_3(dens = gamma_prior_mc)
create_plot_3.2(prio = gamma_prior_mc,
post = gamma_post_mc)
a<-1 ; b<-1
theta.prior.mc<-rbeta(10000,a,b)
head(theta.prior.mc)## [1] 0.2702112 0.4760028 0.4568286 0.2266642 0.5141220 0.3188352 gamma.prior.mc<- log( theta.prior.mc/(1-theta.prior.mc) )
head(gamma.prior.mc)## [1] -0.99355116 -0.09606266 -0.17311654 -1.22724399 0.05650300 -0.75912970 n0<- 860-441 ; n1<-441
theta.post.mc<-rbeta(10000,a+n1,b+n0)
gamma.post.mc<- log( theta.post.mc/(1-theta.post.mc) )Figure 4.6
#load("~/AST 501/gss.RData")
load("D:/Masters/AST 501 Bayesian Statistics/DATA_501/gss.RData")
head(gss)## YEAR WRKSTAT MARITAL AGEWED CHILDS AGE EDUC PAEDUC MAEDUC DEGREE PADEG MADEG
## 1 1972 1 5 NA 0 23 16 10 NA 3 0 NA
## 2 1972 5 1 21 5 70 10 8 8 0 0 0
## 3 1972 2 1 20 4 48 12 8 8 1 0 0
## 4 1972 1 1 24 0 27 17 16 12 3 3 1
## 5 1972 7 1 22 2 61 12 8 8 1 0 0
## 6 1972 1 5 NA 0 26 14 18 19 1 3 4
## FEMALE RACE INCOME INCOME98 RELIG FUND ATTEND RELITEN PRAY PRAYER BIBLE HAPPY
## 1 1 1 NA NA 3 1 2 NA NA NA NA 3
## 2 0 1 NA NA 2 2 7 NA NA NA NA 3
## 3 1 1 NA NA 1 2 4 NA NA NA NA 2
## 4 1 1 NA NA 5 NA 0 NA NA NA NA 3
## 5 1 1 NA NA 1 2 0 NA NA NA NA 2
## 6 0 1 NA NA 1 1 2 NA NA NA NA 2
## ALIKE1 ALIKE2 ALIKE3 ALIKE4 ALIKE5 ALIKE6 ALIKE7 ALIKE8 AGEWEDCR HAPUNHAP
## 1 NA NA NA NA NA NA NA NA NA NA
## 2 NA NA NA NA NA NA NA NA NA NA
## 3 NA NA NA NA NA NA NA NA NA NA
## 4 NA NA NA NA NA NA NA NA NA NA
## 5 NA NA NA NA NA NA NA NA NA NA
## 6 NA NA NA NA NA NA NA NA NA NA
## REALINC WORDSUM
## 1 18951 NA
## 2 24366 NA
## 3 24366 NA
## 4 30458 NA
## 5 50763 NA
## 6 43994 NAy1 <- gss$CHILDS[gss$FEMALE == 1 & gss$YEAR >= 1990 & gss$AGE == 40 & gss$DEGREE < 3 ]
y1 <- y1[!is.na(y1)]
table(c(y1,0:9))-1##
## 0 1 2 3 4 5 6 7 8 9
## 20 19 38 20 10 2 2 0 0 0prob<- as.numeric((table(c(y1,0:9))-1)/sum(y1))
prob## [1] 0.09216590 0.08755760 0.17511521 0.09216590 0.04608295 0.00921659
## [7] 0.00921659 0.00000000 0.00000000 0.00000000a<-2; b<-1
sy<-217 ;n1<-111
d<-dnbinom(x = c(0:9),size = a+sy,mu = (a+sy)/(b+n1))
x<- c(0:9)
x1<- x+0.1
plot(x,prob,ylim = c(0,0.35),type= "h",lwd=3)
lines(x1,d,type= "h",col="gray",lwd=3)
a <- 2; b <- 1
n <- as.numeric(length(y)); s = as.numeric(sum(y))
t.mc <- NULL
for (s in 1:10000) {
theta1 <- rgamma(1, a + s, b + n)
y1.mc <- rpois(n, theta1)
t.mc <- c(t.mc, sum(y1.mc == 2) / sum(y1.mc == 1))
}
obs_odds <- sum(y == 2) / sum(y == 1)
hist(t.mc,
freq = FALSE,
breaks = 20,
border = "black",
col = "white",
main = "",
xlab = expression(t(tilde(Y))),
ylab = "",
axes = TRUE,
xlim = c(0,4),
ylim = c(0, 1.6)
)
lines(c(obs_odds, obs_odds),
c(0, 0.15),
lwd = 5,
col = "black")
Chapter 05
Figure 5.3
y<- c(1.64, 1.70, 1.72,1.74, 1.82, 1.82, 1.82, 1.90, 2.08)
y_bar<-mean(y)
n<- length(y)
sigma2<-var(y)
x<-seq(0,4,length=500)
prior<- dnorm(x = x,mean = 1.9,sd = 0.95)
a<-1.9/(0.95)^2 + n* y_bar/sigma2
b<- 1/(0.95)^2 + n/sigma2
posterior<- dnorm(x = x,mean = a/b,sd = sqrt(1/b))
plot(x,prior,type="l",ylim=c(0,9))
lines(x,posterior,type="l",col="red")
Figure 5.3
Joint Inference for the Mean and Variance
Prior Distributions \[ \frac{1}{\sigma^2} \sim \text{Gamma}\left(\frac{\nu_0}{2}, \frac{\nu_0 \sigma_0^2}{2}\right) \]
\[ \sigma^2 \sim \text{Inverse-Gamma}\left(\frac{\nu_0}{2}, \frac{\nu_0 \sigma_0^2}{2}\right) \]
\[ \theta \mid \sigma^2 \sim N\left(\mu_0, \frac{\sigma^2}{\kappa_0}\right) \]
Sampling Model \[ Y_1, Y_2, \dots, Y_n \mid \theta, \sigma^2 \sim \text{i.i.d. } N(\theta, \sigma^2) \]
Posterior Distribution We want: \[ p(\theta, \sigma^2 \mid y_1, \dots, y_n) = p(\theta \mid \sigma^2, y_1, \dots, y_n) \cdot p(\sigma^2 \mid y_1, \dots, y_n) \]
\[ \sigma^2 \mid y_1, \dots, y_n \quad \Rightarrow \quad \frac{1}{\sigma^2} \mid y_1, \dots, y_n \sim \text{Gamma}\left(\frac{\nu_n}{2}, \frac{\nu_n \sigma_n^2}{2}\right) \]
where: \[ \nu_n = \nu_0 + n \]
\[ \sigma_n^2 = \frac{1}{\nu_n} \Big[ \nu_0 \sigma_0^2 + (n-1)s^2 + \frac{\kappa_0 n}{\kappa_n}(\bar{y} - \mu_0)^2 \Big] \]
Example: Midge Wing Length
Prior mean:
\(\mu_0 = 1.9\)Prior variance:
\(\sigma_0^2 = 0.01\)Hyperparameters:
\(\kappa_0 = 1, \quad \nu_0 = 1\)
So the priors are: \[ \frac{1}{\sigma^2} \sim \text{Gamma}(0.5, 0.005) \] \[ \theta \mid \sigma^2 \sim N(1.9, \sigma^2 / \kappa_0) \]
# prior
mu0<-1.9 ; k0<-1
s20<-.010 ; nu0<-1
# data
y<-c (1.64 ,1.70 ,1.72 ,1.74 ,1.82 ,1.82 ,1.82 ,1.90 ,2.08)
n<-length(y) ; ybar<-mean(y) ; s2<-var(y)
# posterior inference
k_n<-k0+n ; nu_n<-nu0+n
mu_n<- (k0*mu0 + n*ybar)/k_n
s2_n<- (nu0*s20 +(n-1)*s2 +k0*n*(ybar-mu0)^2/(k_n))/(nu_n)
mu_n## [1] 1.814 s2_n## [1] 0.015324 sqrt(s2_n)## [1] 0.1237901Hyperparameter updates
Kappa update:
\[ \kappa_n=\kappa_0+n=1+9=10 \]
Nu update:
\[ \nu_n=\nu_0+n=1+9=10 \]
Posterior mean of θ:
\[ \mu_n=\frac{\kappa_0\mu_0+n\bar{y}}{\kappa_n}=\frac{1\cdot1.9+9\cdot1.804}{10}=1.814 \]
Posterior scale for σ²:
\[ \sigma_n^2=\frac{1}{\nu_n}\left[\nu_0\sigma_0^2+(n-1)s^2+\frac{\kappa_0 n}{\kappa_n}(\bar{y}-\mu_0)^2\right] \]
Using \(\nu_0=1,\ \sigma_0^2=0.01,\ n=9,\ \bar{y}=1.804,\ s^2\approx 0.0169,\ \kappa_0=1,\ \kappa_n=10\):
\[ \sigma_n^2=\frac{1}{10}\left[0.01+8\cdot 0.0169+\frac{9}{10}(1.804-1.9)^2\right] \approx \frac{1}{10}(0.01+0.1352+0.0083)\approx 0.015 \]
These formulas and the midge example structure are standard for the normal–inverse-gamma conjugate model.
Joint posterior distribution
Precision posterior:
\[ \frac{1}{\sigma^2}\ \Big|\ y_1,\dots,y_n\ \sim\ \text{Gamma}\!\left(\frac{\nu_n}{2},\ \frac{\nu_n\sigma_n^2}{2}\right) = \text{Gamma}\!\left(5,\ 10\cdot\frac{0.015}{2}\right) = \text{Gamma}(5,\ 0.075) \]
Conditional mean posterior:
\[ \theta\ \Big|\ \sigma^2,\ y_1,\dots,y_n\ \sim\ N\!\left(\mu_n,\ \frac{\sigma^2}{\kappa_n}\right) = N\!\left(1.814,\ \frac{\sigma^2}{10}\right) \]
These posterior forms follow directly from decomposing \(p(\theta,\sigma^2\mid y)\) into \(p(\theta\mid \sigma^2,y)\cdot p(\sigma^2\mid y)\) under the conjugate normal–inverse-gamma prior.
theta<-seq(1.6,2,length.out=1000)
sigma<-seq(0,0.05,length.out=1000)
precision<-seq(0,140,length.out=1000)
fun_pre <- function(theta,precision) {
a <- dnorm(x = theta,
mean = mu_n,
sd = sqrt(s2_n / k_n))
b <- dgamma(x = precision,
shape = nu_n / 2,
rate = nu_n * s2_n / 2)
return(a*b)
}
z_pre<-outer(X = theta,Y = precision,FUN = fun_pre)
library(extraDistr) # package providing dinvgamma## Warning: package 'extraDistr' was built under R version 4.4.3##
## Attaching package: 'extraDistr'## The following object is masked from 'package:purrr':
##
## rdunif fun_sigma <- function(theta,sigma) {
a <- dnorm(x = theta,
mean = mu_n,
sd = sqrt(s2_n / k_n))
b <- dinvgamma(sigma, nu_n / 2,nu_n * s2_n / 2)
return(a*b)
}
z_sigma<-outer(X = theta,Y = sigma,FUN = fun_sigma)
contour(x = theta,y = precision,z = z_pre)
contour(x = theta,y = sigma,z = z_sigma)
image(x = theta,y = precision,z = z_pre, col = gray((10:0)/10))
image(x = theta,y = sigma,z = z_sigma, col = gray((10:0)/10))
fun_sigma2 <- function(theta,precision) {
a <- dnorm(x = theta,
mean = mu_n,
sd = sqrt(s2_n / k_n))
b <- dgamma(x = 1/precision,
shape = nu_n / 2,
rate = nu_n * s2_n / 2)
return(a*b)
}
z_sigma2<-outer(X = theta,Y = sigma,FUN = fun_sigma)
contour(x = theta,y = sigma,z = z_sigma2)
image(x = theta,y = sigma,z = z_sigma2, col = gray((10:0)/10))
Figure 5.6
n<- seq(1,50)
k<-seq(0,3)
r<-c()
for( k in 0:4){
w<-n/(k+n)
MSEe<-13^2/n
MSEb<-w^2*169/n +(1-w)^2*144
r<-cbind(r,MSEb/MSEe)
}
plot(n,r[,1],type="l",ylim = c(0.4,1.1),lwd= 2,lty=2)
lines(n,r[,2],lwd= 2,lty=1,col="green4")
lines(n,r[,3],lwd= 2,lty=1,col="blue4")
lines(n,r[,4],lwd= 2,lty=1,col="red4")
IQ<-seq(95,130,length=500)
n<-10; sigma<-sqrt(169)
theta0<-112;mu0<-100
f_mean<- dnorm(IQ,theta0,sigma/sqrt(n))
f_bayes<-function(k){
w=n/(n+k)
dnorm(x = IQ,mean = w*theta0 + (1-w)*mu0,sd = w*sigma/sqrt(n))
}
plot(IQ,f_mean,type="l",ylim = c(0,0.13),lty=2)
lines(IQ,f_bayes(1),col="red")
lines(IQ,f_bayes(2),col="green")
lines(IQ,f_bayes(3),col="blue")
abline(v = theta0)
## Nijam Uddin Sarkar
par(mfrow=c(1,2))
### LEFT PLOT ###
theta0 <- 112; sigma2 <- 169; mu0 <- 100
n <- 1:50
kappa <- c(0,1,2,3)
rel_mse <- function(n,k){
w <- n/(n+k)
(w^2*(sigma2/n) + (1-w)^2*(mu0-theta0)^2) / (sigma2/n)
}
m <- sapply(kappa, function(k) rel_mse(n,k))
plot(n, m[,1], type="l", lty=2, ylim=c(0.4,1.1),
xlab="sample size", ylab="relative MSE")
lines(n, m[,2], lwd=2)
lines(n, m[,3], col="gray40", lwd=2)
lines(n, m[,4], col="gray70", lwd=2)
### RIGHT PLOT ###
x <- seq(95,125,len=300)
n <- 10; sigma <- sqrt(sigma2)
f_mean <- dnorm(x, theta0, sigma/sqrt(n))
f_bayes <- function(k){
w <- n/(n+k)
dnorm(x, w*theta0 + (1-w)*mu0, w*sigma/sqrt(n))
}
plot(x, f_mean, type="l", lty=2, ylim=c(0,0.12),
xlab="IQ", ylab="")
lines(x, f_bayes(1), lwd=2)
lines(x, f_bayes(2), col="gray40", lwd=2)
lines(x, f_bayes(3), col="gray70", lwd=2)
abline(v=theta0)
Chapter 06
Figure 6.1
mu0 <- 1.9
t20 <- (0.95)^2
s20 <- 0.01
nu0 <- 1
y <- c(1.64, 1.70, 1.72, 1.74, 1.82, 1.82, 1.82, 1.90, 2.08)
G <- 100
H <- 100
mean.grid <- seq(1.505, 2.00, length = G)
prec.grid <- seq(1.75, 175, length = H)
post.grid <- matrix(0, nrow = G, ncol = H)
for (g in 1:G) {
for (h in 1:H) {
post.grid[g, h] <-dnorm(mean.grid[g], mu0, sqrt(t20)) *
dgamma(prec.grid[h], nu0 / 2, s20 * nu0 / 2) *
prod(dnorm(y, mean.grid[g], 1 / sqrt(prec.grid[h])))
}
}
post.grid <- post.grid / sum(post.grid)
post.grid## [,1] [,2] [,3] [,4] [,5]
## [1,] 2.530024e-08 1.759818e-07 3.873076e-07 5.321502e-07 5.648036e-07
## [2,] 2.595522e-08 1.848092e-07 4.163586e-07 5.856004e-07 6.362391e-07
## [3,] 2.661594e-08 1.939212e-07 4.470478e-07 6.433874e-07 7.152802e-07
## [4,] 2.728197e-08 2.033167e-07 4.794192e-07 7.057448e-07 8.025369e-07
## [5,] 2.795289e-08 2.129937e-07 5.135134e-07 7.729061e-07 8.986421e-07
## [6,] 2.862824e-08 2.229494e-07 5.493677e-07 8.451032e-07 1.004249e-06
## [7,] 2.930756e-08 2.331804e-07 5.870153e-07 9.225645e-07 1.120029e-06
## [8,] 2.999035e-08 2.436821e-07 6.264850e-07 1.005513e-06 1.246665e-06
## [9,] 3.067612e-08 2.544492e-07 6.678007e-07 1.094164e-06 1.384852e-06
## [10,] 3.136434e-08 2.654756e-07 7.109811e-07 1.188725e-06 1.535288e-06
## [11,] 3.205450e-08 2.767541e-07 7.560389e-07 1.289390e-06 1.698671e-06
## [12,] 3.274603e-08 2.882766e-07 8.029810e-07 1.396339e-06 1.875693e-06
## [13,] 3.343840e-08 3.000343e-07 8.518072e-07 1.509738e-06 2.067032e-06
## [14,] 3.413101e-08 3.120169e-07 9.025106e-07 1.629733e-06 2.273346e-06
## [15,] 3.482329e-08 3.242138e-07 9.550768e-07 1.756447e-06 2.495266e-06
## [16,] 3.551464e-08 3.366129e-07 1.009483e-06 1.889982e-06 2.733386e-06
## [17,] 3.620445e-08 3.492014e-07 1.065700e-06 2.030412e-06 2.988259e-06
## [18,] 3.689211e-08 3.619655e-07 1.123688e-06 2.177783e-06 3.260381e-06
## [19,] 3.757699e-08 3.748904e-07 1.183400e-06 2.332110e-06 3.550189e-06
## [20,] 3.825846e-08 3.879605e-07 1.244780e-06 2.493374e-06 3.858047e-06
## [21,] 3.893587e-08 4.011590e-07 1.307761e-06 2.661520e-06 4.184239e-06
## [22,] 3.960858e-08 4.144686e-07 1.372268e-06 2.836456e-06 4.528960e-06
## [23,] 4.027594e-08 4.278707e-07 1.438217e-06 3.018050e-06 4.892303e-06
## [24,] 4.093729e-08 4.413464e-07 1.505515e-06 3.206126e-06 5.274256e-06
## [25,] 4.159196e-08 4.548755e-07 1.574058e-06 3.400469e-06 5.674689e-06
## [26,] 4.223929e-08 4.684372e-07 1.643733e-06 3.600816e-06 6.093345e-06
## [27,] 4.287863e-08 4.820102e-07 1.714418e-06 3.806861e-06 6.529839e-06
## [28,] 4.350930e-08 4.955724e-07 1.785982e-06 4.018251e-06 6.983645e-06
## [29,] 4.413064e-08 5.091009e-07 1.858286e-06 4.234587e-06 7.454093e-06
## [30,] 4.474200e-08 5.225726e-07 1.931181e-06 4.455424e-06 7.940363e-06
## [31,] 4.534271e-08 5.359636e-07 2.004510e-06 4.680271e-06 8.441486e-06
## [32,] 4.593213e-08 5.492499e-07 2.078110e-06 4.908591e-06 8.956336e-06
## [33,] 4.650960e-08 5.624069e-07 2.151809e-06 5.139806e-06 9.483634e-06
## [34,] 4.707449e-08 5.754098e-07 2.225430e-06 5.373293e-06 1.002195e-05
## [35,] 4.762616e-08 5.882336e-07 2.298789e-06 5.608390e-06 1.056970e-05
## [36,] 4.816400e-08 6.008531e-07 2.371697e-06 5.844400e-06 1.112515e-05
## [37,] 4.868738e-08 6.132433e-07 2.443961e-06 6.080588e-06 1.168643e-05
## [38,] 4.919572e-08 6.253789e-07 2.515384e-06 6.316190e-06 1.225156e-05
## [39,] 4.968841e-08 6.372351e-07 2.585766e-06 6.550414e-06 1.281839e-05
## [40,] 5.016490e-08 6.487869e-07 2.654906e-06 6.782445e-06 1.338470e-05
## [41,] 5.062461e-08 6.600098e-07 2.722602e-06 7.011449e-06 1.394815e-05
## [42,] 5.106701e-08 6.708797e-07 2.788650e-06 7.236577e-06 1.450633e-05
## [43,] 5.149157e-08 6.813730e-07 2.852849e-06 7.456973e-06 1.505676e-05
## [44,] 5.189778e-08 6.914665e-07 2.915000e-06 7.671777e-06 1.559690e-05
## [45,] 5.228516e-08 7.011378e-07 2.974907e-06 7.880128e-06 1.612420e-05
## [46,] 5.265323e-08 7.103649e-07 3.032376e-06 8.081175e-06 1.663608e-05
## [47,] 5.300155e-08 7.191271e-07 3.087221e-06 8.274080e-06 1.712998e-05
## [48,] 5.332970e-08 7.274040e-07 3.139260e-06 8.458024e-06 1.760336e-05
## [49,] 5.363726e-08 7.351767e-07 3.188320e-06 8.632210e-06 1.805374e-05
## [50,] 5.392387e-08 7.424270e-07 3.234234e-06 8.795876e-06 1.847872e-05
## [51,] 5.418917e-08 7.491378e-07 3.276846e-06 8.948292e-06 1.887598e-05
## [52,] 5.443283e-08 7.552933e-07 3.316007e-06 9.088770e-06 1.924332e-05
## [53,] 5.465454e-08 7.608789e-07 3.351582e-06 9.216671e-06 1.957868e-05
## [54,] 5.485404e-08 7.658812e-07 3.383446e-06 9.331404e-06 1.988016e-05
## [55,] 5.503106e-08 7.702881e-07 3.411486e-06 9.432436e-06 2.014602e-05
## [56,] 5.518540e-08 7.740892e-07 3.435602e-06 9.519292e-06 2.037472e-05
## [57,] 5.531684e-08 7.772751e-07 3.455709e-06 9.591564e-06 2.056491e-05
## [58,] 5.542524e-08 7.798381e-07 3.471733e-06 9.648908e-06 2.071548e-05
## [59,] 5.551045e-08 7.817720e-07 3.483618e-06 9.691050e-06 2.082554e-05
## [60,] 5.557236e-08 7.830721e-07 3.491320e-06 9.717790e-06 2.089443e-05
## [61,] 5.561090e-08 7.837352e-07 3.494811e-06 9.728997e-06 2.092173e-05
## [62,] 5.562602e-08 7.837596e-07 3.494080e-06 9.724620e-06 2.090728e-05
## [63,] 5.561770e-08 7.831454e-07 3.489127e-06 9.704678e-06 2.085118e-05
## [64,] 5.558595e-08 7.818940e-07 3.479972e-06 9.669268e-06 2.075375e-05
## [65,] 5.553081e-08 7.800085e-07 3.466648e-06 9.618559e-06 2.061557e-05
## [66,] 5.545235e-08 7.774935e-07 3.449202e-06 9.552794e-06 2.043748e-05
## [67,] 5.535066e-08 7.743550e-07 3.427697e-06 9.472285e-06 2.022051e-05
## [68,] 5.522588e-08 7.706008e-07 3.402211e-06 9.377413e-06 1.996595e-05
## [69,] 5.507817e-08 7.662399e-07 3.372835e-06 9.268624e-06 1.967527e-05
## [70,] 5.490770e-08 7.612828e-07 3.339672e-06 9.146427e-06 1.935015e-05
## [71,] 5.471470e-08 7.557414e-07 3.302839e-06 9.011387e-06 1.899245e-05
## [72,] 5.449940e-08 7.496290e-07 3.262467e-06 8.864122e-06 1.860418e-05
## [73,] 5.426208e-08 7.429602e-07 3.218694e-06 8.705301e-06 1.818750e-05
## [74,] 5.400303e-08 7.357507e-07 3.171672e-06 8.535635e-06 1.774469e-05
## [75,] 5.372256e-08 7.280174e-07 3.121561e-06 8.355873e-06 1.727814e-05
## [76,] 5.342103e-08 7.197783e-07 3.068529e-06 8.166797e-06 1.679029e-05
## [77,] 5.309882e-08 7.110527e-07 3.012755e-06 7.969217e-06 1.628368e-05
## [78,] 5.275630e-08 7.018604e-07 2.954419e-06 7.763963e-06 1.576086e-05
## [79,] 5.239392e-08 6.922224e-07 2.893713e-06 7.551883e-06 1.522440e-05
## [80,] 5.201209e-08 6.821605e-07 2.830830e-06 7.333833e-06 1.467687e-05
## [81,] 5.161129e-08 6.716970e-07 2.765968e-06 7.110674e-06 1.412081e-05
## [82,] 5.119200e-08 6.608550e-07 2.699326e-06 6.883264e-06 1.355872e-05
## [83,] 5.075472e-08 6.496583e-07 2.631107e-06 6.652457e-06 1.299304e-05
## [84,] 5.029997e-08 6.381308e-07 2.561514e-06 6.419092e-06 1.242612e-05
## [85,] 4.982830e-08 6.262971e-07 2.490748e-06 6.183996e-06 1.186024e-05
## [86,] 4.934024e-08 6.141820e-07 2.419011e-06 5.947969e-06 1.129756e-05
## [87,] 4.883639e-08 6.018104e-07 2.346502e-06 5.711788e-06 1.074010e-05
## [88,] 4.831730e-08 5.892075e-07 2.273416e-06 5.476203e-06 1.018979e-05
## [89,] 4.778360e-08 5.763985e-07 2.199945e-06 5.241926e-06 9.648392e-06
## [90,] 4.723587e-08 5.634085e-07 2.126277e-06 5.009636e-06 9.117540e-06
## [91,] 4.667475e-08 5.502624e-07 2.052592e-06 4.779973e-06 8.598711e-06
## [92,] 4.610087e-08 5.369852e-07 1.979067e-06 4.553535e-06 8.093232e-06
## [93,] 4.551485e-08 5.236013e-07 1.905870e-06 4.330877e-06 7.602274e-06
## [94,] 4.491734e-08 5.101349e-07 1.833163e-06 4.112511e-06 7.126857e-06
## [95,] 4.430901e-08 4.966099e-07 1.761099e-06 3.898900e-06 6.667846e-06
## [96,] 4.369049e-08 4.830495e-07 1.689824e-06 3.690466e-06 6.225955e-06
## [97,] 4.306246e-08 4.694766e-07 1.619474e-06 3.487580e-06 5.801755e-06
## [98,] 4.242557e-08 4.559132e-07 1.550178e-06 3.290570e-06 5.395674e-06
## [99,] 4.178048e-08 4.423808e-07 1.482055e-06 3.099717e-06 5.008008e-06
## [100,] 4.112787e-08 4.289004e-07 1.415213e-06 2.915258e-06 4.638924e-06
## [,6] [,7] [,8] [,9] [,10]
## [1,] 5.091498e-07 4.100681e-07 3.041214e-07 2.117777e-07 1.403245e-07
## [2,] 5.871164e-07 4.840501e-07 3.674828e-07 2.619546e-07 1.776785e-07
## [3,] 6.754058e-07 5.697910e-07 4.426362e-07 3.228648e-07 2.240857e-07
## [4,] 7.751171e-07 6.688547e-07 5.314677e-07 3.965192e-07 2.814955e-07
## [5,] 8.874252e-07 7.829588e-07 6.361019e-07 4.852402e-07 3.522141e-07
## [6,] 1.013580e-06 9.139807e-07 7.589208e-07 5.916955e-07 4.389549e-07
## [7,] 1.154906e-06 1.063962e-06 9.025810e-07 7.189334e-07 5.448927e-07
## [8,] 1.312795e-06 1.235111e-06 1.070030e-06 8.704183e-07 6.737209e-07
## [9,] 1.488706e-06 1.429806e-06 1.264519e-06 1.050065e-06 8.297113e-07
## [10,] 1.684160e-06 1.650589e-06 1.489618e-06 1.262274e-06 1.017775e-06
## [11,] 1.900726e-06 1.900167e-06 1.749220e-06 1.511958e-06 1.243526e-06
## [12,] 2.140018e-06 2.181401e-06 2.047548e-06 1.804575e-06 1.513337e-06
## [13,] 2.403685e-06 2.497297e-06 2.389150e-06 2.146144e-06 1.834401e-06
## [14,] 2.693392e-06 2.850991e-06 2.778899e-06 2.543267e-06 2.214782e-06
## [15,] 3.010811e-06 3.245730e-06 3.221974e-06 3.003128e-06 2.663456e-06
## [16,] 3.357604e-06 3.684851e-06 3.723841e-06 3.533497e-06 3.190348e-06
## [17,] 3.735401e-06 4.171752e-06 4.290228e-06 4.142709e-06 3.806348e-06
## [18,] 4.145788e-06 4.709859e-06 4.927078e-06 4.839642e-06 4.523316e-06
## [19,] 4.590276e-06 5.302593e-06 5.640511e-06 5.633664e-06 5.354060e-06
## [20,] 5.070286e-06 5.953326e-06 6.436762e-06 6.534578e-06 6.312298e-06
## [21,] 5.587122e-06 6.665334e-06 7.322112e-06 7.552541e-06 7.412585e-06
## [22,] 6.141942e-06 7.441751e-06 8.302812e-06 8.697964e-06 8.670214e-06
## [23,] 6.735739e-06 8.285511e-06 9.384994e-06 9.981390e-06 1.010108e-05
## [24,] 7.369309e-06 9.199293e-06 1.057457e-05 1.141336e-05 1.172152e-05
## [25,] 8.043224e-06 1.018546e-05 1.187713e-05 1.300423e-05 1.354808e-05
## [26,] 8.757811e-06 1.124599e-05 1.329781e-05 1.476403e-05 1.559731e-05
## [27,] 9.513118e-06 1.238242e-05 1.484119e-05 1.670222e-05 1.788544e-05
## [28,] 1.030890e-05 1.359579e-05 1.651114e-05 1.882748e-05 2.042807e-05
## [29,] 1.114457e-05 1.488655e-05 1.831073e-05 2.114752e-05 2.323983e-05
## [30,] 1.201923e-05 1.625455e-05 2.024203e-05 2.366875e-05 2.633398e-05
## [31,] 1.293158e-05 1.769892e-05 2.230603e-05 2.639613e-05 2.972201e-05
## [32,] 1.387998e-05 1.921805e-05 2.450251e-05 2.933284e-05 3.341316e-05
## [33,] 1.486236e-05 2.080957e-05 2.682989e-05 3.248007e-05 3.741407e-05
## [34,] 1.587628e-05 2.247023e-05 2.928512e-05 3.583676e-05 4.172827e-05
## [35,] 1.691888e-05 2.419597e-05 3.186362e-05 3.939939e-05 4.635575e-05
## [36,] 1.798691e-05 2.598182e-05 3.455916e-05 4.316176e-05 5.129262e-05
## [37,] 1.907671e-05 2.782191e-05 3.736381e-05 4.711484e-05 5.653066e-05
## [38,] 2.018423e-05 2.970950e-05 4.026791e-05 5.124662e-05 6.205705e-05
## [39,] 2.130507e-05 3.163695e-05 4.326005e-05 5.554202e-05 6.785411e-05
## [40,] 2.243446e-05 3.359579e-05 4.632707e-05 5.998284e-05 7.389910e-05
## [41,] 2.356732e-05 3.557673e-05 4.945413e-05 6.454779e-05 8.016412e-05
## [42,] 2.469828e-05 3.756974e-05 5.262478e-05 6.921252e-05 8.661615e-05
## [43,] 2.582173e-05 3.956410e-05 5.582104e-05 7.394977e-05 9.321711e-05
## [44,] 2.693182e-05 4.154850e-05 5.902357e-05 7.872959e-05 9.992412e-05
## [45,] 2.802258e-05 4.351112e-05 6.221184e-05 8.351954e-05 1.066898e-04
## [46,] 2.908791e-05 4.543978e-05 6.536428e-05 8.828504e-05 1.134628e-04
## [47,] 3.012166e-05 4.732200e-05 6.845859e-05 9.298975e-05 1.201883e-04
## [48,] 3.111767e-05 4.914518e-05 7.147189e-05 9.759599e-05 1.268085e-04
## [49,] 3.206988e-05 5.089670e-05 7.438110e-05 1.020652e-04 1.332640e-04
## [50,] 3.297232e-05 5.256411e-05 7.716313e-05 1.063586e-04 1.394939e-04
## [51,] 3.381922e-05 5.413523e-05 7.979524e-05 1.104374e-04 1.454372e-04
## [52,] 3.460506e-05 5.559831e-05 8.225534e-05 1.142639e-04 1.510336e-04
## [53,] 3.532463e-05 5.694218e-05 8.452228e-05 1.178014e-04 1.562247e-04
## [54,] 3.597308e-05 5.815641e-05 8.657613e-05 1.210155e-04 1.609548e-04
## [55,] 3.654597e-05 5.923140e-05 8.839855e-05 1.238741e-04 1.651718e-04
## [56,] 3.703935e-05 6.015856e-05 8.997296e-05 1.263482e-04 1.688285e-04
## [57,] 3.744977e-05 6.093036e-05 9.128488e-05 1.284122e-04 1.718833e-04
## [58,] 3.777435e-05 6.154049e-05 9.232209e-05 1.300447e-04 1.743008e-04
## [59,] 3.801077e-05 6.198394e-05 9.307485e-05 1.312284e-04 1.760529e-04
## [60,] 3.815736e-05 6.225702e-05 9.353605e-05 1.319508e-04 1.771189e-04
## [61,] 3.821307e-05 6.235746e-05 9.370130e-05 1.322042e-04 1.774861e-04
## [62,] 3.817750e-05 6.228443e-05 9.356904e-05 1.319858e-04 1.771503e-04
## [63,] 3.805090e-05 6.203853e-05 9.314052e-05 1.312980e-04 1.761155e-04
## [64,] 3.783419e-05 6.162181e-05 9.241981e-05 1.301482e-04 1.743937e-04
## [65,] 3.752890e-05 6.103772e-05 9.141373e-05 1.285485e-04 1.720055e-04
## [66,] 3.713720e-05 6.029109e-05 9.013174e-05 1.265158e-04 1.689785e-04
## [67,] 3.666185e-05 5.938803e-05 8.858578e-05 1.240713e-04 1.653479e-04
## [68,] 3.610619e-05 5.833586e-05 8.679010e-05 1.212403e-04 1.611550e-04
## [69,] 3.547406e-05 5.714303e-05 8.476105e-05 1.180516e-04 1.564469e-04
## [70,] 3.476978e-05 5.581898e-05 8.251681e-05 1.145369e-04 1.512753e-04
## [71,] 3.399813e-05 5.437402e-05 8.007712e-05 1.107306e-04 1.456958e-04
## [72,] 3.316425e-05 5.281922e-05 7.746302e-05 1.066692e-04 1.397667e-04
## [73,] 3.227358e-05 5.116623e-05 7.469651e-05 1.023905e-04 1.335484e-04
## [74,] 3.133185e-05 4.942718e-05 7.180029e-05 9.793295e-05 1.271017e-04
## [75,] 3.034499e-05 4.761449e-05 6.879739e-05 9.333555e-05 1.204875e-04
## [76,] 2.931904e-05 4.574076e-05 6.571094e-05 8.863684e-05 1.137655e-04
## [77,] 2.826016e-05 4.381861e-05 6.256384e-05 8.387459e-05 1.069935e-04
## [78,] 2.717448e-05 4.186054e-05 5.937847e-05 7.908524e-05 1.002263e-04
## [79,] 2.606813e-05 3.987879e-05 5.617648e-05 7.430353e-05 9.351564e-05
## [80,] 2.494713e-05 3.788524e-05 5.297855e-05 6.956205e-05 8.690897e-05
## [81,] 2.381734e-05 3.589129e-05 4.980415e-05 6.489097e-05 8.044942e-05
## [82,] 2.268442e-05 3.390775e-05 4.667141e-05 6.031774e-05 7.417528e-05
## [83,] 2.155382e-05 3.194478e-05 4.359696e-05 5.586693e-05 6.811980e-05
## [84,] 2.043067e-05 3.001178e-05 4.059583e-05 5.156007e-05 6.231111e-05
## [85,] 1.931982e-05 2.811736e-05 3.768137e-05 4.741559e-05 5.677217e-05
## [86,] 1.822575e-05 2.626929e-05 3.486517e-05 4.344879e-05 5.152091e-05
## [87,] 1.715258e-05 2.447445e-05 3.215710e-05 3.967192e-05 4.657034e-05
## [88,] 1.610408e-05 2.273885e-05 2.956528e-05 3.609422e-05 4.192888e-05
## [89,] 1.508356e-05 2.106760e-05 2.709611e-05 3.272209e-05 3.760062e-05
## [90,] 1.409399e-05 1.946492e-05 2.475437e-05 2.955925e-05 3.358573e-05
## [91,] 1.313791e-05 1.793416e-05 2.254326e-05 2.660692e-05 2.988081e-05
## [92,] 1.221744e-05 1.647785e-05 2.046452e-05 2.386409e-05 2.647939e-05
## [93,] 1.133434e-05 1.509770e-05 1.851852e-05 2.132770e-05 2.337231e-05
## [94,] 1.048997e-05 1.379470e-05 1.670440e-05 1.899293e-05 2.054816e-05
## [95,] 9.685319e-06 1.256911e-05 1.502020e-05 1.685346e-05 1.799378e-05
## [96,] 8.921045e-06 1.142057e-05 1.346295e-05 1.490167e-05 1.569458e-05
## [97,] 8.197463e-06 1.034813e-05 1.202887e-05 1.312895e-05 1.363500e-05
## [98,] 7.514588e-06 9.350328e-06 1.071345e-05 1.152587e-05 1.179881e-05
## [99,] 6.872154e-06 8.425252e-06 9.511600e-06 1.008246e-05 1.016949e-05
## [100,] 6.269638e-06 7.570593e-06 8.417786e-06 8.788368e-06 8.730487e-06
## [,11] [,12] [,13] [,14] [,15]
## [1,] 8.931560e-08 5.499267e-08 3.292884e-08 1.925477e-08 1.103099e-08
## [2,] 1.157669e-07 7.296551e-08 4.472444e-08 2.677088e-08 1.569981e-08
## [3,] 1.493993e-07 9.635325e-08 6.043359e-08 3.701526e-08 2.221249e-08
## [4,] 1.919639e-07 1.266342e-07 8.124129e-08 5.089708e-08 3.124086e-08
## [5,] 2.455825e-07 1.656425e-07 1.086526e-07 6.959834e-08 4.367891e-08
## [6,] 3.128112e-07 2.156395e-07 1.445667e-07 9.464524e-08 6.070764e-08
## [7,] 3.967109e-07 2.793964e-07 1.913646e-07 1.279949e-07 8.387604e-08
## [8,] 5.009252e-07 3.602875e-07 2.520111e-07 1.721395e-07 1.152008e-07
## [9,] 6.297650e-07 4.623954e-07 3.301738e-07 2.302301e-07 1.572881e-07
## [10,] 7.882992e-07 5.906276e-07 4.303587e-07 3.062230e-07 2.134809e-07
## [11,] 9.824504e-07 7.508444e-07 5.580633e-07 4.050487e-07 2.880350e-07
## [12,] 1.219094e-06 9.499967e-07 7.199482e-07 5.328080e-07 3.863264e-07
## [13,] 1.506158e-06 1.196273e-06 9.240256e-07 6.969926e-07 5.150940e-07
## [14,] 1.852724e-06 1.499250e-06 1.179863e-06 9.067331e-07 6.827181e-07
## [15,] 2.269123e-06 1.870053e-06 1.498802e-06 1.173072e-06 8.995376e-07
## [16,] 2.767019e-06 2.321506e-06 1.894182e-06 1.509259e-06 1.178203e-06
## [17,] 3.359490e-06 2.868280e-06 2.381574e-06 1.931065e-06 1.534065e-06
## [18,] 4.061078e-06 3.527031e-06 2.979006e-06 2.457106e-06 1.985594e-06
## [19,] 4.887833e-06 4.316512e-06 3.707180e-06 3.109172e-06 2.554819e-06
## [20,] 5.857310e-06 5.257660e-06 4.589664e-06 3.912548e-06 3.267778e-06
## [21,] 6.988550e-06 6.373646e-06 5.653053e-06 4.896304e-06 4.154970e-06
## [22,] 8.302002e-06 7.689876e-06 6.927078e-06 6.093560e-06 5.251777e-06
## [23,] 9.819413e-06 9.233932e-06 8.444657e-06 7.541673e-06 6.598838e-06
## [24,] 1.156366e-05 1.103545e-05 1.024186e-05 9.282355e-06 8.242361e-06
## [25,] 1.355850e-05 1.312590e-05 1.235779e-05 1.136168e-05 1.023431e-05
## [26,] 1.582833e-05 1.553833e-05 1.483431e-05 1.382996e-05 1.263248e-05
## [27,] 1.839779e-05 1.830692e-05 1.771573e-05 1.674146e-05 1.550035e-05
## [28,] 2.129134e-05 2.146655e-05 2.104824e-05 2.015392e-05 1.890677e-05
## [29,] 2.453281e-05 2.505216e-05 2.487925e-05 2.412790e-05 2.292536e-05
## [30,] 2.814482e-05 2.909806e-05 2.925659e-05 2.872590e-05 2.763362e-05
## [31,] 3.214820e-05 3.363712e-05 3.422749e-05 3.401117e-05 3.311177e-05
## [32,] 3.656131e-05 3.869987e-05 3.983743e-05 4.004640e-05 3.944118e-05
## [33,] 4.139938e-05 4.431350e-05 4.612884e-05 4.689206e-05 4.670252e-05
## [34,] 4.667376e-05 5.050084e-05 5.313965e-05 5.460458e-05 5.497353e-05
## [35,] 5.239123e-05 5.727922e-05 6.090175e-05 6.323430e-05 6.432649e-05
## [36,] 5.855331e-05 6.465937e-05 6.943937e-05 7.282329e-05 7.482539e-05
## [37,] 6.515552e-05 7.264435e-05 7.876743e-05 8.340302e-05 8.652290e-05
## [38,] 7.218681e-05 8.122844e-05 8.888992e-05 9.499204e-05 9.945717e-05
## [39,] 7.962904e-05 9.039622e-05 9.979833e-05 1.075936e-04 1.136486e-04
## [40,] 8.745648e-05 1.001217e-04 1.114702e-04 1.211936e-04 1.290966e-04
## [41,] 9.563558e-05 1.103678e-04 1.238681e-04 1.357585e-04 1.457769e-04
## [42,] 1.041247e-04 1.210856e-04 1.369384e-04 1.512335e-04 1.636384e-04
## [43,] 1.128743e-04 1.322143e-04 1.506106e-04 1.675418e-04 1.826017e-04
## [44,] 1.218270e-04 1.436813e-04 1.647976e-04 1.845832e-04 2.025570e-04
## [45,] 1.309178e-04 1.554025e-04 1.793954e-04 2.022344e-04 2.233638e-04
## [46,] 1.400751e-04 1.672829e-04 1.942838e-04 2.203493e-04 2.448506e-04
## [47,] 1.492210e-04 1.792178e-04 2.093277e-04 2.387605e-04 2.668163e-04
## [48,] 1.582726e-04 1.910939e-04 2.243788e-04 2.572806e-04 2.890324e-04
## [49,] 1.671432e-04 2.027908e-04 2.392774e-04 2.757056e-04 3.112459e-04
## [50,] 1.757433e-04 2.141833e-04 2.538556e-04 2.938178e-04 3.331836e-04
## [51,] 1.839820e-04 2.251432e-04 2.679394e-04 3.113899e-04 3.545574e-04
## [52,] 1.917693e-04 2.355419e-04 2.813529e-04 3.281896e-04 3.750701e-04
## [53,] 1.990168e-04 2.452524e-04 2.939213e-04 3.439846e-04 3.944221e-04
## [54,] 2.056399e-04 2.541525e-04 3.054750e-04 3.585479e-04 4.123186e-04
## [55,] 2.115592e-04 2.621268e-04 3.158532e-04 3.716630e-04 4.284770e-04
## [56,] 2.167022e-04 2.690695e-04 3.249075e-04 3.831292e-04 4.426343e-04
## [57,] 2.210048e-04 2.748865e-04 3.325057e-04 3.927672e-04 4.545540e-04
## [58,] 2.244125e-04 2.794977e-04 3.385349e-04 4.004231e-04 4.640330e-04
## [59,] 2.268816e-04 2.828388e-04 3.429041e-04 4.059727e-04 4.709070e-04
## [60,] 2.283802e-04 2.848627e-04 3.455468e-04 4.093252e-04 4.750555e-04
## [61,] 2.288888e-04 2.855408e-04 3.464224e-04 4.104253e-04 4.764051e-04
## [62,] 2.284008e-04 2.848635e-04 3.455175e-04 4.092547e-04 4.749320e-04
## [63,] 2.269225e-04 2.828402e-04 3.428459e-04 4.058328e-04 4.706623e-04
## [64,] 2.244732e-04 2.794999e-04 3.384487e-04 4.002160e-04 4.636714e-04
## [65,] 2.210845e-04 2.748894e-04 3.323929e-04 3.924965e-04 4.540817e-04
## [66,] 2.167999e-04 2.690730e-04 3.247696e-04 3.827992e-04 4.420595e-04
## [67,] 2.116736e-04 2.621310e-04 3.156924e-04 3.712788e-04 4.278094e-04
## [68,] 2.057697e-04 2.541572e-04 3.052936e-04 3.581156e-04 4.115692e-04
## [69,] 1.991604e-04 2.452576e-04 2.937218e-04 3.435106e-04 3.936030e-04
## [70,] 1.919250e-04 2.355475e-04 2.811380e-04 3.276809e-04 3.741939e-04
## [71,] 1.841479e-04 2.251492e-04 2.677121e-04 3.108536e-04 3.536373e-04
## [72,] 1.759176e-04 2.141895e-04 2.536187e-04 2.932612e-04 3.322326e-04
## [73,] 1.673241e-04 2.027972e-04 2.390339e-04 2.751359e-04 3.102768e-04
## [74,] 1.584582e-04 1.911004e-04 2.241313e-04 2.567048e-04 2.880576e-04
## [75,] 1.494094e-04 1.792244e-04 2.090791e-04 2.381850e-04 2.658474e-04
## [76,] 1.402646e-04 1.672895e-04 1.940366e-04 2.197803e-04 2.438980e-04
## [77,] 1.311067e-04 1.554090e-04 1.791519e-04 2.016774e-04 2.224370e-04
## [78,] 1.220138e-04 1.436877e-04 1.645600e-04 1.840431e-04 2.016642e-04
## [79,] 1.130576e-04 1.322205e-04 1.503807e-04 1.670228e-04 1.817496e-04
## [80,] 1.043032e-04 1.210916e-04 1.367177e-04 1.507391e-04 1.628324e-04
## [81,] 9.580813e-05 1.103736e-04 1.236581e-04 1.352913e-04 1.450212e-04
## [82,] 8.762217e-05 1.001273e-04 1.112718e-04 1.207557e-04 1.283940e-04
## [83,] 7.978709e-05 9.040145e-05 9.961217e-05 1.071864e-04 1.130007e-04
## [84,] 7.233661e-05 8.123335e-05 8.871657e-05 9.461619e-05 9.886449e-05
## [85,] 6.529661e-05 7.264894e-05 7.860715e-05 8.305871e-05 8.598495e-05
## [86,] 5.868539e-05 6.466363e-05 6.929219e-05 7.251015e-05 7.434085e-05
## [87,] 5.251415e-05 5.728314e-05 6.076751e-05 6.295155e-05 6.389333e-05
## [88,] 4.678748e-05 5.050443e-05 5.301802e-05 5.435104e-05 5.458916e-05
## [89,] 4.150399e-05 4.431677e-05 4.601936e-05 4.666629e-05 4.636393e-05
## [90,] 3.665700e-05 3.870282e-05 3.973951e-05 3.984672e-05 3.914506e-05
## [91,] 3.223525e-05 3.363977e-05 3.414046e-05 3.383575e-05 3.285463e-05
## [92,] 2.822357e-05 2.910043e-05 2.917972e-05 2.857282e-05 2.741190e-05
## [93,] 2.460367e-05 2.505427e-05 2.481177e-05 2.399519e-05 2.273551e-05
## [94,] 2.135476e-05 2.146842e-05 2.098937e-05 2.003960e-05 1.874533e-05
## [95,] 1.845426e-05 1.830856e-05 1.766469e-05 1.664363e-05 1.536400e-05
## [96,] 1.587835e-05 1.553976e-05 1.479032e-05 1.374678e-05 1.251811e-05
## [97,] 1.360257e-05 1.312715e-05 1.232009e-05 1.129140e-05 1.013901e-05
## [98,] 1.160228e-05 1.103652e-05 1.020975e-05 9.223344e-06 8.163489e-06
## [99,] 9.853102e-06 9.234856e-06 8.417467e-06 7.492436e-06 6.533995e-06
## [100,] 8.331236e-06 7.690666e-06 6.904188e-06 6.052734e-06 5.198819e-06
## [,16] [,17] [,18] [,19] [,20]
## [1,] 6.208011e-09 3.439469e-09 1.879356e-09 1.014277e-09 5.413590e-10
## [2,] 9.044575e-09 5.129592e-09 2.869169e-09 1.585110e-09 8.660517e-10
## [3,] 1.309410e-08 7.598977e-09 4.349237e-09 2.458674e-09 1.374581e-09
## [4,] 1.883715e-08 1.118171e-08 6.546059e-09 3.785137e-09 2.164534e-09
## [5,] 2.692816e-08 1.634340e-08 9.782655e-09 5.783638e-09 3.381635e-09
## [6,] 3.825163e-08 2.372780e-08 1.451588e-08 8.771210e-09 5.241514e-09
## [7,] 5.399396e-08 3.421790e-08 2.138652e-08 1.320252e-08 8.060366e-09
## [8,] 7.573425e-08 4.901513e-08 3.128575e-08 1.972391e-08 1.229761e-08
## [9,] 1.055581e-07 6.974096e-08 4.544258e-08 2.924611e-08 1.861463e-08
## [10,] 1.461983e-07 9.856587e-08 6.553741e-08 4.304097e-08 2.795478e-08
## [11,] 2.012080e-07 1.383713e-07 9.384811e-08 6.286878e-08 4.165102e-08
## [12,] 2.751694e-07 1.929508e-07 1.334356e-07 9.114374e-08 6.156915e-08
## [13,] 3.739442e-07 2.672563e-07 1.883769e-07 1.311468e-07 9.029601e-08
## [14,] 5.049698e-07 3.676972e-07 2.640546e-07 1.872954e-07 1.313838e-07
## [15,] 6.776040e-07 5.024970e-07 3.675103e-07 2.654824e-07 1.896632e-07
## [16,] 9.035214e-07 6.821150e-07 5.078733e-07 3.734936e-07 2.716390e-07
## [17,] 1.197162e-06 9.197348e-07 6.968688e-07 5.215182e-07 3.859838e-07
## [18,] 1.576228e-06 1.231824e-06 9.494162e-07 7.227610e-07 5.441442e-07
## [19,] 2.062231e-06 1.638760e-06 1.284317e-06 9.941659e-07 7.610738e-07
## [20,] 2.681066e-06 2.165525e-06 1.725033e-06 1.357256e-06 1.056106e-06
## [21,] 3.463614e-06 2.842444e-06 2.300556e-06 1.839094e-06 1.453972e-06
## [22,] 4.446348e-06 3.705966e-06 3.046338e-06 2.473345e-06 1.985969e-06
## [23,] 5.671909e-06 4.799455e-06 4.005283e-06 3.301448e-06 2.691268e-06
## [24,] 7.189638e-06 6.173953e-06 5.228754e-06 4.373843e-06 3.618339e-06
## [25,] 9.056007e-06 7.888886e-06 6.777557e-06 5.751230e-06 4.826468e-06
## [26,] 1.133492e-05 1.001265e-05 8.722842e-06 7.505803e-06 6.387303e-06
## [27,] 1.409782e-05 1.262301e-05 1.114687e-05 9.722379e-06 8.386361e-06
## [28,] 1.742358e-05 1.580731e-05 1.414352e-05 1.249933e-05 1.092440e-05
## [29,] 2.139807e-05 1.966229e-05 1.781854e-05 1.594924e-05 1.411852e-05
## [30,] 2.611343e-05 2.429355e-05 2.228930e-05 2.019910e-05 1.810293e-05
## [31,] 3.166687e-05 2.981458e-05 2.768413e-05 2.539002e-05 2.302908e-05
## [32,] 3.815911e-05 3.634523e-05 3.414092e-05 3.167620e-05 2.906511e-05
## [33,] 4.569232e-05 4.400956e-05 4.180511e-05 3.922309e-05 3.639447e-05
## [34,] 5.436760e-05 5.293312e-05 5.082689e-05 4.820472e-05 4.521336e-05
## [35,] 6.428194e-05 6.323958e-05 6.135748e-05 5.879984e-05 5.572704e-05
## [36,] 7.552482e-05 7.504665e-05 7.354471e-05 7.118716e-05 6.814485e-05
## [37,] 8.817437e-05 8.846155e-05 8.752765e-05 8.553937e-05 8.267383e-05
## [38,] 1.022932e-04 1.035759e-04 1.034306e-04 1.020163e-04 9.951097e-05
## [39,] 1.179243e-04 1.204603e-04 1.213564e-04 1.207568e-04 1.188343e-04
## [40,] 1.350865e-04 1.391585e-04 1.413794e-04 1.418707e-04 1.407928e-04
## [41,] 1.537702e-04 1.596823e-04 1.635384e-04 1.654294e-04 1.654958e-04
## [42,] 1.739340e-04 1.820055e-04 1.878292e-04 1.914572e-04 1.930019e-04
## [43,] 1.955008e-04 2.060598e-04 2.141985e-04 2.199224e-04 2.233078e-04
## [44,] 2.183558e-04 2.317303e-04 2.425379e-04 2.507300e-04 2.563388e-04
## [45,] 2.423442e-04 2.588531e-04 2.726796e-04 2.837148e-04 2.919393e-04
## [46,] 2.672714e-04 2.872135e-04 3.043937e-04 3.186372e-04 3.298668e-04
## [47,] 2.929034e-04 3.165462e-04 3.373872e-04 3.551812e-04 3.697878e-04
## [48,] 3.189687e-04 3.465376e-04 3.713055e-04 3.929546e-04 4.112771e-04
## [49,] 3.451626e-04 3.768292e-04 4.057365e-04 4.314929e-04 4.538207e-04
## [50,] 3.711515e-04 4.070237e-04 4.402169e-04 4.702662e-04 4.968234e-04
## [51,] 3.965799e-04 4.366925e-04 4.742412e-04 5.086896e-04 5.396195e-04
## [52,] 4.210776e-04 4.653852e-04 5.072729e-04 5.461360e-04 5.814885e-04
## [53,] 4.442684e-04 4.926409e-04 5.387584e-04 5.819527e-04 6.216738e-04
## [54,] 4.657798e-04 5.179993e-04 5.681412e-04 6.154794e-04 6.594045e-04
## [55,] 4.852525e-04 5.410144e-04 5.948788e-04 6.460680e-04 6.939195e-04
## [56,] 5.023504e-04 5.612668e-04 6.184585e-04 6.731034e-04 7.244930e-04
## [57,] 5.167705e-04 5.783768e-04 6.384142e-04 6.960241e-04 7.504595e-04
## [58,] 5.282513e-04 5.920157e-04 6.543415e-04 7.143412e-04 7.712375e-04
## [59,] 5.365811e-04 6.019169e-04 6.659111e-04 7.276558e-04 7.863520e-04
## [60,] 5.416043e-04 6.078840e-04 6.728805e-04 7.356737e-04 7.954515e-04
## [61,] 5.432262e-04 6.097978e-04 6.751023e-04 7.382158e-04 7.983224e-04
## [62,] 5.414162e-04 6.076197e-04 6.725291e-04 7.352252e-04 7.948969e-04
## [63,] 5.362085e-04 6.013936e-04 6.652157e-04 7.267688e-04 7.852560e-04
## [64,] 5.277011e-04 5.912439e-04 6.533168e-04 7.130354e-04 7.696257e-04
## [65,] 5.160530e-04 5.773716e-04 6.370817e-04 6.943283e-04 7.483690e-04
## [66,] 5.014787e-04 5.600478e-04 6.168453e-04 6.710540e-04 7.219713e-04
## [67,] 4.842421e-04 5.396046e-04 5.930172e-04 6.437082e-04 6.910221e-04
## [68,] 4.646486e-04 5.164249e-04 5.660676e-04 6.128574e-04 6.561934e-04
## [69,] 4.430355e-04 4.909300e-04 5.365117e-04 5.791203e-04 6.182152e-04
## [70,] 4.197632e-04 4.635674e-04 5.048937e-04 5.431466e-04 5.778504e-04
## [71,] 3.952047e-04 4.347976e-04 4.717703e-04 5.055967e-04 5.358695e-04
## [72,] 3.697360e-04 4.050813e-04 4.376946e-04 4.671220e-04 4.930268e-04
## [73,] 3.437268e-04 3.748679e-04 4.032011e-04 4.283465e-04 4.500388e-04
## [74,] 3.175315e-04 3.445841e-04 3.687926e-04 3.898514e-04 4.075654e-04
## [75,] 2.914824e-04 3.146249e-04 3.349288e-04 3.521615e-04 3.661951e-04
## [76,] 2.658824e-04 2.853461e-04 3.020179e-04 3.157356e-04 3.264342e-04
## [77,] 2.410010e-04 2.570583e-04 2.704101e-04 2.809598e-04 2.886999e-04
## [78,] 2.170701e-04 2.300235e-04 2.403936e-04 2.481439e-04 2.533177e-04
## [79,] 1.942822e-04 2.044531e-04 2.121939e-04 2.175214e-04 2.205223e-04
## [80,] 1.727898e-04 1.805079e-04 1.859742e-04 1.892515e-04 1.904615e-04
## [81,] 1.527056e-04 1.582995e-04 1.618387e-04 1.634239e-04 1.632036e-04
## [82,] 1.341046e-04 1.378935e-04 1.398370e-04 1.400653e-04 1.387460e-04
## [83,] 1.170266e-04 1.193133e-04 1.199697e-04 1.191474e-04 1.170250e-04
## [84,] 1.014792e-04 1.025451e-04 1.021954e-04 1.005953e-04 9.792760e-05
## [85,] 8.744233e-05 8.754309e-05 8.643718e-05 8.429647e-05 8.130164e-05
## [86,] 7.487179e-05 7.423518e-05 7.259052e-05 7.011002e-05 6.696710e-05
## [87,] 6.370399e-05 6.252858e-05 6.052978e-05 5.787483e-05 5.472572e-05
## [88,] 5.386007e-05 5.231525e-05 5.011506e-05 4.741745e-05 4.437000e-05
## [89,] 4.525006e-05 4.347693e-05 4.119811e-05 3.855899e-05 3.569072e-05
## [90,] 3.777663e-05 3.588975e-05 3.362762e-05 3.112089e-05 2.848321e-05
## [91,] 3.133858e-05 2.942814e-05 2.725367e-05 2.492971e-05 2.255229e-05
## [92,] 2.583374e-05 2.396824e-05 2.193127e-05 1.982081e-05 1.771578e-05
## [93,] 2.116153e-05 1.939057e-05 1.752316e-05 1.564100e-05 1.380695e-05
## [94,] 1.722499e-05 1.558209e-05 1.390180e-05 1.225029e-05 1.067586e-05
## [95,] 1.393229e-05 1.243775e-05 1.095064e-05 9.522856e-06 8.189855e-06
## [96,] 1.119794e-05 9.861404e-06 8.564812e-06 7.347287e-06 6.233290e-06
## [97,] 8.943464e-06 7.766345e-06 6.651294e-06 5.626336e-06 4.706807e-06
## [98,] 7.097824e-06 6.075409e-06 5.128665e-06 4.276251e-06 3.526171e-06
## [99,] 5.597532e-06 4.720796e-06 3.926562e-06 3.225817e-06 2.620886e-06
## [100,] 4.386517e-06 3.643643e-06 2.984905e-06 2.415211e-06 1.932684e-06
## [,21] [,22] [,23] [,24] [,25]
## [1,] 2.860657e-10 1.497968e-10 7.779404e-11 4.009619e-11 2.052303e-11
## [2,] 4.684680e-10 2.511148e-10 1.334971e-10 7.043434e-11 3.690442e-11
## [3,] 7.608359e-10 4.173190e-10 2.270139e-10 1.225602e-10 6.570952e-11
## [4,] 1.225460e-09 6.875271e-10 3.825496e-10 2.112510e-10 1.158487e-10
## [5,] 1.957509e-09 1.122890e-09 6.388193e-10 3.606880e-10 2.022398e-10
## [6,] 3.101028e-09 1.818071e-09 1.057117e-09 6.100262e-10 3.495870e-10
## [7,] 4.871967e-09 2.918168e-09 1.733498e-09 1.021996e-09 5.983519e-10
## [8,] 7.591016e-09 4.643393e-09 2.816944e-09 1.696031e-09 1.014077e-09
## [9,] 1.172985e-08 7.324646e-09 4.536156e-09 2.788062e-09 1.701759e-09
## [10,] 1.797553e-08 1.145417e-08 7.238569e-09 4.539988e-09 2.827732e-09
## [11,] 2.731920e-08 1.775688e-08 1.144649e-08 7.323034e-09 4.652552e-09
## [12,] 4.117666e-08 2.728949e-08 1.793688e-08 1.170068e-08 7.579787e-09
## [13,] 6.155044e-08 4.157671e-08 2.785327e-08 1.851890e-08 1.222745e-08
## [14,] 9.124480e-08 6.279582e-08 4.286082e-08 2.903375e-08 1.953113e-08
## [15,] 1.341473e-07 9.402369e-08 6.535814e-08 4.508946e-08 3.089099e-08
## [16,] 1.955927e-07 1.395628e-07 9.876287e-08 6.936346e-08 4.837815e-08
## [17,] 2.828267e-07 2.053657e-07 1.478913e-07 1.056989e-07 7.502042e-08
## [18,] 4.055878e-07 2.995796e-07 2.194555e-07 1.595489e-07 1.151921e-07
## [19,] 5.768280e-07 4.332337e-07 3.227047e-07 2.385620e-07 1.751373e-07
## [20,] 8.135883e-07 6.210953e-07 4.702392e-07 3.533397e-07 2.636620e-07
## [21,] 1.138046e-06 8.827142e-07 6.790275e-07 5.184031e-07 3.930333e-07
## [22,] 1.578745e-06 1.243678e-06 9.716520e-07 7.534018e-07 5.801282e-07
## [23,] 2.172006e-06 1.737087e-06 1.377809e-06 1.084600e-06 8.478745e-07
## [24,] 2.963514e-06 2.405255e-06 1.936075e-06 1.546666e-06 1.227021e-06
## [25,] 4.010050e-06 3.301616e-06 2.695941e-06 2.184777e-06 1.758269e-06
## [26,] 5.381329e-06 4.492808e-06 3.720089e-06 3.057044e-06 2.494776e-06
## [27,] 7.161865e-06 6.060872e-06 5.086876e-06 4.237212e-06 3.505021e-06
## [28,] 9.452782e-06 8.105470e-06 6.892930e-06 5.817582e-06 4.875988e-06
## [29,] 1.237343e-05 1.074601e-05 9.255748e-06 7.912045e-06 6.716569e-06
## [30,] 1.606266e-05 1.412349e-05 1.231612e-05 1.065906e-05 9.161049e-06
## [31,] 2.067957e-05 1.840191e-05 1.624020e-05 1.422437e-05 1.237245e-05
## [32,] 2.640357e-05 2.376893e-05 2.122090e-05 1.880316e-05 1.654548e-05
## [33,] 3.343341e-05 3.043563e-05 2.747837e-05 2.462139e-05 2.190865e-05
## [34,] 4.198514e-05 3.863499e-05 3.525925e-05 3.193584e-05 2.872533e-05
## [35,] 5.228864e-05 4.861890e-05 4.483426e-05 4.103249e-05 3.729299e-05
## [36,] 6.458268e-05 6.065344e-05 5.649394e-05 5.222294e-05 4.794046e-05
## [37,] 7.910823e-05 7.501215e-05 7.054214e-05 6.583830e-05 6.102252e-05
## [38,] 9.610016e-05 9.196735e-05 8.728714e-05 8.222045e-05 7.691144e-05
## [39,] 1.157773e-04 1.117794e-04 1.070303e-04 1.017103e-04 9.598527e-05
## [40,] 1.383311e-04 1.346838e-04 1.300524e-04 1.246333e-04 1.186127e-04
## [41,] 1.639128e-04 1.608775e-04 1.565974e-04 1.512819e-04 1.451345e-04
## [42,] 1.926207e-04 1.905026e-04 1.868554e-04 1.818962e-04 1.758421e-04
## [43,] 2.244864e-04 2.236312e-04 2.209438e-04 2.166428e-04 2.109542e-04
## [44,] 2.594621e-04 2.602494e-04 2.588885e-04 2.555929e-04 2.505915e-04
## [45,] 2.974094e-04 3.002432e-04 3.006067e-04 2.987014e-04 2.947524e-04
## [46,] 3.380900e-04 3.433858e-04 3.458912e-04 3.457877e-04 3.432900e-04
## [47,] 3.811596e-04 3.893296e-04 3.943984e-04 3.965207e-04 3.958931e-04
## [48,] 4.261655e-04 4.376012e-04 4.456416e-04 4.504078e-04 4.520720e-04
## [49,] 4.725488e-04 4.876019e-04 4.989892e-04 5.067922e-04 5.111520e-04
## [50,] 5.196512e-04 5.386146e-04 5.536706e-04 5.648560e-04 5.722760e-04
## [51,] 5.667272e-04 5.898164e-04 6.087888e-04 6.236336e-04 6.344155e-04
## [52,] 6.129614e-04 6.402969e-04 6.633409e-04 6.820326e-04 6.963939e-04
## [53,] 6.574899e-04 6.890835e-04 7.162453e-04 7.388643e-04 7.569183e-04
## [54,] 6.994262e-04 7.351708e-04 7.663756e-04 7.928812e-04 8.146217e-04
## [55,] 7.378900e-04 7.775539e-04 8.125993e-04 8.428211e-04 8.681121e-04
## [56,] 7.720373e-04 8.152647e-04 8.538196e-04 8.874555e-04 9.160275e-04
## [57,] 8.010909e-04 8.474083e-04 8.890183e-04 9.256390e-04 9.570929e-04
## [58,] 8.243701e-04 8.731978e-04 9.172973e-04 9.563583e-04 9.901764e-04
## [59,] 8.413168e-04 8.919869e-04 9.379171e-04 9.787764e-04 1.014341e-03
## [60,] 8.515179e-04 9.032962e-04 9.503284e-04 9.922708e-04 1.028888e-03
## [61,] 8.547220e-04 9.068341e-04 9.541965e-04 9.964622e-04 1.033392e-03
## [62,] 8.508498e-04 9.025086e-04 9.494166e-04 9.912321e-04 1.027721e-03
## [63,] 8.399972e-04 8.904320e-04 9.361183e-04 9.767282e-04 1.012041e-03
## [64,] 8.224313e-04 8.709155e-04 9.146597e-04 9.533580e-04 9.868110e-04
## [65,] 7.985798e-04 8.444564e-04 8.856114e-04 9.217692e-04 9.527580e-04
## [66,] 7.690135e-04 8.117164e-04 8.497316e-04 8.828202e-04 9.108443e-04
## [67,] 7.344233e-04 7.734946e-04 8.079328e-04 8.375412e-04 8.622210e-04
## [68,] 6.955940e-04 7.306951e-04 7.612435e-04 7.870893e-04 8.081759e-04
## [69,] 6.533744e-04 6.842912e-04 7.107663e-04 7.326993e-04 7.500774e-04
## [70,] 6.086468e-04 6.352894e-04 6.576351e-04 6.756338e-04 6.893173e-04
## [71,] 5.622966e-04 5.846934e-04 6.029732e-04 6.171360e-04 6.272564e-04
## [72,] 5.151841e-04 5.334708e-04 5.478554e-04 5.583856e-04 5.651763e-04
## [73,] 4.681190e-04 4.825241e-04 4.932746e-04 5.004624e-04 5.042381e-04
## [74,] 4.218393e-04 4.326664e-04 4.401153e-04 4.443167e-04 4.454514e-04
## [75,] 3.769943e-04 3.846036e-04 3.891339e-04 3.907488e-04 3.896528e-04
## [76,] 3.341330e-04 3.389217e-04 3.409467e-04 3.403977e-04 3.374956e-04
## [77,] 2.936979e-04 2.960815e-04 2.960253e-04 2.937375e-04 2.894486e-04
## [78,] 2.560231e-04 2.564184e-04 2.546983e-04 2.510823e-04 2.458032e-04
## [79,] 2.213372e-04 2.201470e-04 2.171592e-04 2.125968e-04 2.066886e-04
## [80,] 1.897696e-04 1.873710e-04 1.834786e-04 1.783123e-04 1.720911e-04
## [81,] 1.613599e-04 1.580949e-04 1.536198e-04 1.481459e-04 1.418774e-04
## [82,] 1.360698e-04 1.322389e-04 1.274571e-04 1.219219e-04 1.158193e-04
## [83,] 1.137953e-04 1.096545e-04 1.047938e-04 9.939349e-05 9.361847e-05
## [84,] 9.438093e-05 9.014046e-05 8.538122e-05 8.026347e-05 7.492987e-05
## [85,] 7.763202e-05 7.345796e-05 6.893564e-05 6.420396e-05 5.938289e-05
## [86,] 6.332781e-05 5.934495e-05 5.515441e-05 5.087327e-05 4.659942e-05
## [87,] 5.123242e-05 4.752856e-05 4.372920e-05 3.993019e-05 3.620867e-05
## [88,] 4.110477e-05 3.773561e-05 3.435719e-05 3.104537e-05 2.785849e-05
## [89,] 3.270668e-05 2.970120e-05 2.674969e-05 2.390982e-05 2.122342e-05
## [90,] 2.580938e-05 2.317515e-05 2.063833e-05 1.824062e-05 1.600981e-05
## [91,] 2.019834e-05 1.792656e-05 1.577922e-05 1.378437e-05 1.195831e-05
## [92,] 1.567655e-05 1.374667e-05 1.195504e-05 1.031853e-05 8.844358e-06
## [93,] 1.206653e-05 1.045018e-05 8.975772e-06 7.651261e-06 6.477027e-06
## [94,] 9.211093e-06 7.875456e-06 6.678014e-06 5.619943e-06 4.696756e-06
## [95,] 6.973275e-06 5.883743e-06 4.923543e-06 4.088977e-06 3.372354e-06
## [96,] 5.235514e-06 4.357703e-06 3.597187e-06 2.947008e-06 2.397625e-06
## [97,] 3.898331e-06 3.199539e-06 2.604373e-06 2.103933e-06 1.687882e-06
## [98,] 2.878691e-06 2.328858e-06 1.868522e-06 1.487875e-06 1.176565e-06
## [99,] 2.108183e-06 1.680446e-06 1.328459e-06 1.042281e-06 8.120871e-07
## [100,] 1.531152e-06 1.202077e-06 9.359508e-07 7.232474e-07 5.550118e-07
## [,26] [,27] [,28] [,29] [,30]
## [1,] 1.043753e-11 5.276948e-12 2.653280e-12 1.327291e-12 6.608187e-13
## [2,] 1.921280e-11 9.943315e-12 5.117846e-12 2.620752e-12 1.335666e-12
## [3,] 3.500461e-11 1.853747e-11 9.763177e-12 5.115813e-12 2.667911e-12
## [4,] 6.312505e-11 3.419327e-11 1.842023e-11 9.872615e-12 5.266263e-12
## [5,] 1.126731e-10 6.240246e-11 3.437152e-11 1.883556e-11 1.027287e-11
## [6,] 1.990583e-10 1.126766e-10 6.343112e-11 3.552662e-11 1.980335e-11
## [7,] 3.480827e-10 2.012966e-10 1.157726e-10 6.624577e-11 3.772624e-11
## [8,] 6.024575e-10 3.558034e-10 2.089822e-10 1.221212e-10 7.102418e-11
## [9,] 1.032077e-09 6.222353e-10 3.730890e-10 2.225631e-10 1.321377e-10
## [10,] 1.750008e-09 1.076639e-09 6.587423e-10 4.009995e-10 2.429435e-10
## [11,] 2.937038e-09 1.843132e-09 1.150320e-09 7.142718e-10 4.414095e-10
## [12,] 4.878891e-09 3.121861e-09 1.986650e-09 1.257801e-09 7.925667e-10
## [13,] 8.021850e-09 5.231686e-09 3.393315e-09 2.189724e-09 1.406332e-09
## [14,] 1.305479e-08 8.674422e-09 5.732271e-09 3.768736e-09 2.466027e-09
## [15,] 2.102844e-08 1.423018e-08 9.576994e-09 6.412551e-09 4.273322e-09
## [16,] 3.352633e-08 2.309676e-08 1.582456e-08 1.078685e-08 7.317981e-09
## [17,] 5.290624e-08 3.709049e-08 2.586031e-08 1.793856e-08 1.238439e-08
## [18,] 8.263608e-08 5.893117e-08 4.179611e-08 2.949235e-08 2.071172e-08
## [19,] 1.277540e-07 9.263996e-08 6.680944e-08 4.793581e-08 3.423067e-08
## [20,] 1.954884e-07 1.440863e-07 1.056184e-07 7.702638e-08 5.590782e-08
## [21,] 2.960802e-07 2.217265e-07 1.651358e-07 1.223624e-07 9.023760e-08
## [22,] 4.438535e-07 3.375853e-07 2.553542e-07 1.921698e-07 1.439330e-07
## [23,] 6.585850e-07 5.085345e-07 3.905210e-07 2.983673e-07 2.268773e-07
## [24,] 9.672214e-07 7.579283e-07 5.906711e-07 4.579796e-07 3.534107e-07
## [25,] 1.405989e-06 1.117652e-06 8.835821e-07 6.949762e-07 5.440341e-07
## [26,] 2.022925e-06 1.630633e-06 1.307218e-06 1.042612e-06 8.276190e-07
## [27,] 2.880842e-06 2.353837e-06 1.912709e-06 1.546337e-06 1.244207e-06
## [28,] 4.060701e-06 3.361767e-06 2.767896e-06 2.267329e-06 1.848471e-06
## [29,] 5.665320e-06 4.750395e-06 3.961416e-06 3.286654e-06 2.713880e-06
## [30,] 7.823297e-06 6.641447e-06 5.607264e-06 4.710013e-06 3.937553e-06
## [31,] 1.069294e-05 9.186848e-06 7.849671e-06 6.672970e-06 5.645729e-06
## [32,] 1.446592e-05 1.257307e-05 1.086805e-05 9.346415e-06 7.999660e-06
## [33,] 1.937033e-05 1.702499e-05 1.488168e-05 1.294195e-05 1.120162e-05
## [34,] 2.567261e-05 2.280884e-05 2.015357e-05 1.771673e-05 1.550059e-05
## [35,] 3.367788e-05 3.023365e-05 2.699305e-05 2.397707e-05 2.119695e-05
## [36,] 4.372818e-05 3.965052e-05 3.575623e-05 3.208023e-05 2.864549e-05
## [37,] 5.619787e-05 5.144912e-05 4.684372e-05 4.243338e-05 3.825578e-05
## [38,] 7.148588e-05 6.605077e-05 6.069473e-05 5.548899e-05 5.048889e-05
## [39,] 9.000415e-05 8.389745e-05 7.777686e-05 7.173561e-05 6.584949e-05
## [40,] 1.121622e-04 1.054364e-04 9.857112e-05 9.168360e-05 8.487247e-05
## [41,] 1.383479e-04 1.311001e-04 1.235517e-04 1.158450e-04 1.081033e-04
## [42,] 1.689043e-04 1.612822e-04 1.531609e-04 1.447078e-04 1.360722e-04
## [43,] 2.041035e-04 1.963093e-04 1.877789e-04 1.787045e-04 1.692612e-04
## [44,] 2.441193e-04 2.364102e-04 2.276909e-04 2.181764e-04 2.080670e-04
## [45,] 2.889985e-04 2.816840e-04 2.730513e-04 2.633353e-04 2.527592e-04
## [46,] 3.386344e-04 3.320697e-04 3.238492e-04 3.142239e-04 3.034371e-04
## [47,] 3.927429e-04 3.873175e-04 3.798754e-04 3.706791e-04 3.599881e-04
## [48,] 4.508453e-04 4.469673e-04 4.406964e-04 4.323007e-04 4.220516e-04
## [49,] 5.122578e-04 5.103351e-04 5.056356e-04 4.984282e-04 4.889909e-04
## [50,] 5.760916e-04 5.765087e-04 5.737671e-04 5.681306e-04 5.598786e-04
## [51,] 6.412633e-04 6.443580e-04 6.439224e-04 6.402103e-04 6.334975e-04
## [52,] 7.065178e-04 7.125568e-04 7.147124e-04 7.132240e-04 7.083595e-04
## [53,] 7.704628e-04 7.796194e-04 7.845651e-04 7.855216e-04 7.827452e-04
## [54,] 8.316147e-04 8.439498e-04 8.517781e-04 8.553013e-04 8.547616e-04
## [55,] 8.884530e-04 9.039023e-04 9.145846e-04 9.206807e-04 9.224173e-04
## [56,] 9.394825e-04 9.578494e-04 9.712279e-04 9.797784e-04 9.837114e-04
## [57,] 9.832972e-04 1.004255e-03 1.020043e-03 1.030803e-03 1.036731e-03
## [58,] 1.018645e-03 1.041745e-03 1.059535e-03 1.072141e-03 1.079747e-03
## [59,] 1.044486e-03 1.069177e-03 1.088459e-03 1.102446e-03 1.111312e-03
## [60,] 1.060045e-03 1.085698e-03 1.105882e-03 1.120706e-03 1.130336e-03
## [61,] 1.064849e-03 1.090785e-03 1.111234e-03 1.126302e-03 1.136154e-03
## [62,] 1.058750e-03 1.084277e-03 1.104338e-03 1.119043e-03 1.128560e-03
## [63,] 1.041936e-03 1.066380e-03 1.085422e-03 1.099177e-03 1.107822e-03
## [64,] 1.014916e-03 1.037659e-03 1.055103e-03 1.067376e-03 1.074665e-03
## [65,] 9.785012e-04 9.990066e-04 1.014357e-03 1.024698e-03 1.030230e-03
## [66,] 9.337581e-04 9.515966e-04 9.644657e-04 9.725311e-04 9.760080e-04
## [67,] 8.819608e-04 8.968261e-04 9.069486e-04 9.125146e-04 9.137559e-04
## [68,] 8.245292e-04 8.362469e-04 8.434870e-04 8.464573e-04 8.454051e-04
## [69,] 7.629652e-04 7.714924e-04 7.758433e-04 7.762456e-04 7.729608e-04
## [70,] 6.987877e-04 7.042059e-04 7.057802e-04 7.037560e-04 6.984059e-04
## [71,] 6.334724e-04 6.359728e-04 6.349870e-04 6.307742e-04 6.236144e-04
## [72,] 5.683973e-04 5.682616e-04 5.650151e-04 5.589264e-04 5.502782e-04
## [73,] 5.047987e-04 5.023761e-04 4.972276e-04 4.896257e-04 4.798509e-04
## [74,] 4.437376e-04 4.394207e-04 4.327630e-04 4.240359e-04 4.135121e-04
## [75,] 3.860790e-04 3.802795e-04 3.725161e-04 3.630529e-04 3.521502e-04
## [76,] 3.324819e-04 3.256088e-04 3.171318e-04 3.073025e-04 2.963641e-04
## [77,] 2.834012e-04 2.758420e-04 2.670142e-04 2.571527e-04 2.464797e-04
## [78,] 2.390988e-04 2.312040e-04 2.223457e-04 2.127380e-04 2.025790e-04
## [79,] 1.996617e-04 1.917349e-04 1.831147e-04 1.739914e-04 1.645378e-04
## [80,] 1.650267e-04 1.573179e-04 1.491480e-04 1.406823e-04 1.320671e-04
## [81,] 1.350067e-04 1.277102e-04 1.201466e-04 1.124553e-04 1.047567e-04
## [82,] 1.093197e-04 1.025756e-04 9.572060e-05 8.886882e-05 8.211577e-05
## [83,] 8.761600e-05 8.151427e-05 7.542221e-05 6.943008e-05 6.361056e-05
## [84,] 6.950408e-05 6.409054e-05 5.877504e-05 5.362592e-05 4.869561e-05
## [85,] 5.457315e-05 4.985688e-05 4.529878e-05 4.094782e-05 3.683903e-05
## [86,] 4.241209e-05 3.837312e-05 3.452868e-05 3.091119e-05 2.754130e-05
## [87,] 3.262437e-05 2.922133e-05 2.602995e-05 2.306903e-05 2.034786e-05
## [88,] 2.483914e-05 2.201627e-05 1.940736e-05 1.702049e-05 1.485630e-05
## [89,] 1.871858e-05 1.641189e-05 1.431066e-05 1.241491e-05 1.071915e-05
## [90,] 1.396211e-05 1.210442e-05 1.043644e-05 8.952490e-06 7.643078e-06
## [91,] 1.030792e-05 8.832842e-06 7.527406e-06 6.382239e-06 5.385598e-06
## [92,] 7.532392e-06 6.377167e-06 5.369552e-06 4.498121e-06 3.750226e-06
## [93,] 5.447995e-06 4.555394e-06 3.788180e-06 3.134138e-06 2.580707e-06
## [94,] 3.900159e-06 3.219549e-06 2.643158e-06 2.158907e-06 1.755003e-06
## [95,] 2.763566e-06 2.251308e-06 1.823960e-06 1.470207e-06 1.179438e-06
## [96,] 1.938203e-06 1.557563e-06 1.244823e-06 9.898108e-07 7.833033e-07
## [97,] 1.345459e-06 1.066172e-06 8.402328e-07 6.588016e-07 5.140943e-07
## [98,] 9.244508e-07 7.220711e-07 5.609079e-07 4.334968e-07 3.334367e-07
## [99,] 6.286933e-07 4.838418e-07 3.703253e-07 2.819980e-07 2.137184e-07
## [100,] 4.231904e-07 3.207729e-07 2.418104e-07 1.813573e-07 1.353719e-07
## [,31] [,32] [,33] [,34] [,35]
## [1,] 3.275422e-13 1.616753e-13 7.949186e-14 3.894088e-14 1.901015e-14
## [2,] 6.777016e-13 3.424290e-13 1.723476e-13 8.642594e-14 4.318964e-14
## [3,] 1.385149e-12 7.161655e-13 3.688356e-13 1.892589e-13 9.677796e-14
## [4,] 2.796672e-12 1.479013e-12 7.791215e-13 4.089238e-13 2.138830e-13
## [5,] 5.577935e-12 3.016106e-12 1.624510e-12 8.717708e-13 4.662070e-13
## [6,] 1.098986e-11 6.073471e-12 3.343370e-12 1.833733e-12 1.002269e-12
## [7,] 2.138935e-11 1.207656e-11 6.791902e-12 3.805780e-12 2.125165e-12
## [8,] 4.112350e-11 2.371184e-11 1.361894e-11 7.793367e-12 4.444303e-12
## [9,] 7.810329e-11 4.597304e-11 2.695503e-11 1.574637e-11 9.166799e-12
## [10,] 1.465330e-10 8.801507e-11 5.266005e-11 3.139132e-11 1.864810e-11
## [11,] 2.715742e-10 1.663898e-10 1.015471e-10 6.174654e-11 3.741573e-11
## [12,] 4.971968e-10 3.106077e-10 1.932853e-10 1.198366e-10 7.404177e-11
## [13,] 8.991974e-10 5.725503e-10 3.631407e-10 2.294776e-10 1.445114e-10
## [14,] 1.606455e-09 1.042152e-09 6.734352e-10 4.335756e-10 2.781829e-10
## [15,] 2.835105e-09 1.873113e-09 1.232712e-09 8.082826e-10 5.281551e-10
## [16,] 4.942611e-09 3.324398e-09 2.227267e-09 1.486742e-09 9.889981e-10
## [17,] 8.511980e-09 5.826098e-09 3.972169e-09 2.698247e-09 1.826553e-09
## [18,] 1.448077e-08 1.008227e-08 6.992429e-09 4.831719e-09 3.327146e-09
## [19,] 2.433546e-08 1.722880e-08 1.214991e-08 8.536808e-09 5.977428e-09
## [20,] 4.039934e-08 2.907150e-08 2.083835e-08 1.488206e-08 1.059155e-08
## [21,] 6.625153e-08 4.843906e-08 3.527753e-08 2.559792e-08 1.851006e-08
## [22,] 1.073259e-07 7.969661e-08 5.894920e-08 4.344303e-08 3.190501e-08
## [23,] 1.717512e-07 1.294791e-07 9.723051e-08 7.274604e-08 5.423914e-08
## [24,] 2.715076e-07 2.077187e-07 1.582968e-07 1.201911e-07 9.094305e-08
## [25,] 4.239855e-07 3.290541e-07 2.543820e-07 1.959338e-07 1.503935e-07
## [26,] 6.540440e-07 5.147246e-07 4.035019e-07 3.151521e-07 2.452966e-07
## [27,] 9.966664e-07 7.950571e-07 6.317563e-07 5.001553e-07 3.945998e-07
## [28,] 1.500305e-06 1.212656e-06 9.763342e-07 7.831833e-07 6.260730e-07
## [29,] 2.230982e-06 1.826387e-06 1.489334e-06 1.210029e-06 9.797063e-07
## [30,] 3.277173e-06 2.716213e-06 2.242492e-06 1.844599e-06 1.512063e-06
## [31,] 4.755428e-06 3.988877e-06 3.332839e-06 2.774483e-06 2.301688e-06
## [32,] 6.816583e-06 5.784334e-06 4.889254e-06 4.117522e-06 3.455620e-06
## [33,] 9.652298e-06 8.282700e-06 7.079715e-06 6.029256e-06 5.116916e-06
## [34,] 1.350149e-05 1.171133e-05 1.011891e-05 8.710947e-06 7.472975e-06
## [35,] 1.865603e-05 1.635146e-05 1.427568e-05 1.241769e-05 1.076420e-05
## [36,] 2.546501e-05 2.254358e-05 1.987945e-05 1.746587e-05 1.529229e-05
## [37,] 3.433644e-05 3.069056e-05 2.732480e-05 2.423893e-05 2.142724e-05
## [38,] 4.573551e-05 4.125748e-05 3.707272e-05 3.319024e-05 2.961167e-05
## [39,] 6.017813e-05 5.476668e-05 4.964744e-05 4.484162e-05 4.036104e-05
## [40,] 7.821872e-05 7.178703e-05 6.562722e-05 5.977589e-05 5.425811e-05
## [41,] 1.004314e-04 9.291620e-05 8.562804e-05 7.862210e-05 7.193990e-05
## [42,] 1.273841e-04 1.187552e-04 1.102790e-04 1.020322e-04 9.407578e-05
## [43,] 1.596055e-04 1.498753e-04 1.401892e-04 1.306482e-04 1.213357e-04
## [44,] 1.975456e-04 1.867768e-04 1.759062e-04 1.650606e-04 1.543485e-04
## [45,] 2.415315e-04 2.298433e-04 2.178676e-04 2.057584e-04 1.936507e-04
## [46,] 2.917205e-04 2.792908e-04 2.663477e-04 2.530727e-04 2.396284e-04
## [47,] 3.480543e-04 3.351176e-04 3.214031e-04 3.071193e-04 2.924561e-04
## [48,] 4.102173e-04 3.970577e-04 3.828213e-04 3.677415e-04 3.520349e-04
## [49,] 4.776037e-04 4.645431e-04 4.500772e-04 4.344622e-04 4.179397e-04
## [50,] 5.492984e-04 5.366785e-04 5.223032e-04 5.064485e-04 4.893780e-04
## [51,] 6.240737e-04 6.122351e-04 5.982783e-04 5.824953e-04 5.651687e-04
## [52,] 7.004066e-04 6.896649e-04 6.764391e-04 6.610333e-04 6.437461e-04
## [53,] 7.765179e-04 7.671387e-04 7.549166e-04 7.401644e-04 7.231926e-04
## [54,] 8.504319e-04 8.426078e-04 8.315993e-04 8.177242e-04 8.013019e-04
## [55,] 9.200565e-04 9.138880e-04 9.042201e-04 8.913728e-04 8.756715e-04
## [56,] 9.832780e-04 9.787602e-04 9.704630e-04 9.587067e-04 9.438199e-04
## [57,] 1.038066e-03 1.035084e-03 1.028084e-03 1.017387e-03 1.003321e-03
## [58,] 1.082581e-03 1.080913e-03 1.075037e-03 1.065271e-03 1.051946e-03
## [59,] 1.115278e-03 1.114606e-03 1.109590e-03 1.100545e-03 1.087802e-03
## [60,] 1.134990e-03 1.134928e-03 1.130439e-03 1.121837e-03 1.109454e-03
## [61,] 1.141007e-03 1.141119e-03 1.136779e-03 1.128302e-03 1.116018e-03
## [62,] 1.133108e-03 1.132946e-03 1.128366e-03 1.119683e-03 1.107226e-03
## [63,] 1.111581e-03 1.110718e-03 1.105526e-03 1.096322e-03 1.083438e-03
## [64,] 1.077204e-03 1.075261e-03 1.069135e-03 1.059145e-03 1.045622e-03
## [65,] 1.031197e-03 1.027874e-03 1.020566e-03 1.009593e-03 9.952870e-04
## [66,] 9.751512e-04 9.702462e-04 9.616004e-04 9.495359e-04 9.343826e-04
## [67,] 9.109389e-04 9.043566e-04 8.943199e-04 8.811506e-04 8.651750e-04
## [68,] 8.406079e-04 8.323642e-04 8.209865e-04 8.067941e-04 7.901072e-04
## [69,] 7.662747e-04 7.564895e-04 7.439162e-04 7.288685e-04 7.116574e-04
## [70,] 6.900211e-04 6.789038e-04 6.653602e-04 6.496950e-04 6.322062e-04
## [71,] 6.138004e-04 6.016300e-04 5.874008e-04 5.714045e-04 5.539230e-04
## [72,] 5.393600e-04 5.264614e-04 5.118669e-04 4.958515e-04 4.786773e-04
## [73,] 4.681847e-04 4.549037e-04 4.402755e-04 4.245546e-04 4.079803e-04
## [74,] 4.014603e-04 3.881399e-04 3.737978e-04 3.586652e-04 3.429560e-04
## [75,] 3.400594e-04 3.270190e-04 3.132520e-04 2.989639e-04 2.843416e-04
## [76,] 2.845469e-04 2.720655e-04 2.591170e-04 2.458795e-04 2.325119e-04
## [77,] 2.352013e-04 2.235064e-04 2.115644e-04 1.995260e-04 1.875223e-04
## [78,] 1.920492e-04 1.813102e-04 1.705039e-04 1.597536e-04 1.491638e-04
## [79,] 1.549074e-04 1.452346e-04 1.356347e-04 1.262047e-04 1.170245e-04
## [80,] 1.234294e-04 1.148773e-04 1.065007e-04 9.837267e-05 9.055099e-05
## [81,] 9.715210e-05 8.972511e-05 8.254267e-05 7.565665e-05 6.910546e-05
## [82,] 7.553921e-05 6.920057e-05 6.314655e-05 5.741081e-05 5.201568e-05
## [83,] 5.802024e-05 5.270129e-05 4.768322e-05 4.298472e-05 3.861527e-05
## [84,] 4.402238e-05 3.963224e-05 3.554074e-05 3.175472e-05 2.827397e-05
## [85,] 3.299547e-05 2.943011e-05 2.614762e-05 2.314602e-05 2.041819e-05
## [86,] 2.442992e-05 2.157998e-05 1.898815e-05 1.664632e-05 1.454289e-05
## [87,] 1.786803e-05 1.562521e-05 1.361062e-05 1.181229e-05 1.021614e-05
## [88,] 1.290976e-05 1.117164e-05 9.629822e-06 8.270348e-06 7.078250e-06
## [89,] 9.213960e-06 7.887211e-06 6.725171e-06 5.713303e-06 4.836908e-06
## [90,] 6.496231e-06 5.498523e-06 4.635892e-06 3.894257e-06 3.259962e-06
## [91,] 4.524426e-06 3.785162e-06 3.154337e-06 2.619002e-06 2.167006e-06
## [92,] 3.112808e-06 2.572994e-06 2.118497e-06 1.737884e-06 1.420727e-06
## [93,] 2.115573e-06 1.727066e-06 1.404405e-06 1.137836e-06 9.186793e-07
## [94,] 1.420335e-06 1.144708e-06 9.189707e-07 7.350427e-07 5.858954e-07
## [95,] 9.419767e-07 7.491981e-07 5.935481e-07 4.685103e-07 3.685353e-07
## [96,] 6.171298e-07 4.841884e-07 3.784034e-07 2.946454e-07 2.286341e-07
## [97,] 3.993923e-07 3.089925e-07 2.381217e-07 1.828327e-07 1.398961e-07
## [98,] 2.553346e-07 1.947141e-07 1.479067e-07 1.119392e-07 8.442541e-08
## [99,] 1.612526e-07 1.211609e-07 9.068206e-08 6.762140e-08 5.025087e-08
## [100,] 1.005982e-07 7.444642e-08 5.487820e-08 4.030510e-08 2.949965e-08
## [,36] [,37] [,38] [,39] [,40]
## [1,] 9.250102e-15 4.487109e-15 2.170288e-15 1.046802e-15 5.035809e-16
## [2,] 2.151277e-14 1.068248e-14 5.289060e-15 2.611448e-15 1.286003e-15
## [3,] 4.932622e-14 2.506331e-14 1.269783e-14 6.415302e-15 3.232677e-15
## [4,] 1.115042e-13 5.795161e-14 3.003104e-14 1.551928e-14 7.998904e-15
## [5,] 2.485059e-13 1.320546e-13 6.996825e-14 3.696962e-14 1.948258e-14
## [6,] 5.460266e-13 2.965530e-13 1.605911e-13 8.672359e-14 4.671007e-14
## [7,] 1.182831e-12 6.563145e-13 3.631047e-13 2.003311e-13 1.102357e-13
## [8,] 2.526176e-12 1.431471e-12 8.087831e-13 4.556991e-13 2.560836e-13
## [9,] 5.319077e-12 3.076904e-12 1.774688e-12 1.020768e-12 5.855840e-13
## [10,] 1.104182e-11 6.517876e-12 3.836207e-12 2.251617e-12 1.318088e-12
## [11,] 2.259837e-11 1.360690e-11 8.169053e-12 4.890811e-12 2.920435e-12
## [12,] 4.559796e-11 2.799452e-11 1.713686e-11 1.046131e-11 6.369398e-12
## [13,] 9.070797e-11 5.676070e-11 3.541446e-11 2.203485e-11 1.367405e-11
## [14,] 1.779006e-10 1.134184e-10 7.209745e-11 4.570388e-11 2.889640e-11
## [15,] 3.439863e-10 2.233468e-10 1.445936e-10 9.335010e-11 6.010880e-11
## [16,] 6.557476e-10 4.334480e-10 2.856721e-10 1.877567e-10 1.230780e-10
## [17,] 1.232435e-09 8.290011e-10 5.560024e-10 3.718731e-10 2.480678e-10
## [18,] 2.283618e-09 1.562550e-09 1.066044e-09 7.252922e-10 4.921622e-10
## [19,] 4.171714e-09 2.902511e-09 2.013556e-09 1.392997e-09 9.611562e-10
## [20,] 7.513418e-09 5.313423e-09 3.746640e-09 2.634547e-09 1.847683e-09
## [21,] 1.334112e-08 9.585966e-09 6.867680e-09 4.906601e-09 3.496302e-09
## [22,] 2.335495e-08 1.704348e-08 1.240132e-08 8.998586e-09 6.512355e-09
## [23,] 4.030858e-08 2.986354e-08 2.206052e-08 1.625125e-08 1.194030e-08
## [24,] 6.858796e-08 5.156860e-08 3.865924e-08 2.890134e-08 2.154964e-08
## [25,] 1.150615e-07 8.775870e-08 6.673917e-08 5.061369e-08 3.828360e-08
## [26,] 1.903024e-07 1.471824e-07 1.135006e-07 8.728446e-08 6.694733e-08
## [27,] 3.103059e-07 2.432665e-07 1.901539e-07 1.482261e-07 1.152396e-07
## [28,] 4.988475e-07 3.962504e-07 3.138356e-07 2.478742e-07 1.952620e-07
## [29,] 7.906374e-07 6.360890e-07 5.102571e-07 4.081847e-07 3.256731e-07
## [30,] 1.235432e-06 1.006299e-06 8.172702e-07 6.619131e-07 5.346797e-07
## [31,] 1.903234e-06 1.568906e-06 1.289532e-06 1.056973e-06 8.640790e-07
## [32,] 2.890661e-06 2.410613e-06 2.004419e-06 1.662057e-06 1.374551e-06
## [33,] 4.328468e-06 3.650221e-06 3.069267e-06 2.573634e-06 2.152367e-06
## [34,] 6.390031e-06 5.447177e-06 4.629890e-06 3.924337e-06 3.317566e-06
## [35,] 9.300443e-06 8.010964e-06 6.880128e-06 5.892570e-06 5.033505e-06
## [36,] 1.334554e-05 1.161071e-05 1.007192e-05 8.712886e-06 7.517430e-06
## [37,] 1.887994e-05 1.658417e-05 1.452505e-05 1.268639e-05 1.105137e-05
## [38,] 2.633278e-05 2.334477e-05 2.063541e-05 1.819002e-05 1.599229e-05
## [39,] 3.620968e-05 3.238517e-05 2.888007e-05 2.568306e-05 2.277996e-05
## [40,] 4.908905e-05 4.427552e-05 3.981743e-05 3.570915e-05 3.194060e-05
## [41,] 6.561095e-05 5.965433e-05 5.408018e-05 4.889122e-05 4.408401e-05
## [42,] 8.645696e-05 7.921020e-05 7.235905e-05 6.591757e-05 5.989175e-05
## [43,] 1.123196e-04 1.036528e-04 9.537563e-05 8.751657e-05 8.009412e-05
## [44,] 1.438609e-04 1.336725e-04 1.238431e-04 1.144190e-04 1.054344e-04
## [45,] 1.816610e-04 1.698883e-04 1.584149e-04 1.473076e-04 1.366191e-04
## [46,] 2.261584e-04 2.127875e-04 1.996228e-04 1.867543e-04 1.742564e-04
## [47,] 2.775847e-04 2.626573e-04 2.478072e-04 2.331498e-04 2.187831e-04
## [48,] 3.359001e-04 3.195168e-04 3.030454e-04 2.866278e-04 2.703874e-04
## [49,] 4.007344e-04 3.830528e-04 3.650828e-04 3.469928e-04 3.289328e-04
## [50,] 4.713407e-04 4.525687e-04 4.332761e-04 4.136580e-04 3.938907e-04
## [51,] 5.465692e-04 5.269523e-04 5.065566e-04 4.856029e-04 4.642929e-04
## [52,] 6.248664e-04 6.046706e-04 5.834197e-04 5.613580e-04 5.387114e-04
## [53,] 7.043055e-04 6.837971e-04 6.619482e-04 6.390243e-04 6.152734e-04
## [54,] 7.826486e-04 7.620729e-04 7.398723e-04 7.163308e-04 6.917163e-04
## [55,] 8.574412e-04 8.370022e-04 8.146657e-04 7.907310e-04 7.654832e-04
## [56,] 9.261339e-04 9.059777e-04 8.836735e-04 8.595334e-04 8.338561e-04
## [57,] 9.862228e-04 9.664275e-04 9.442655e-04 9.200587e-04 8.941172e-04
## [58,] 1.035400e-03 1.015972e-03 9.939997e-04 9.698112e-04 9.437253e-04
## [59,] 1.071700e-03 1.052581e-03 1.030785e-03 1.006648e-03 9.804932e-04
## [60,] 1.093629e-03 1.074706e-03 1.053028e-03 1.028933e-03 1.002747e-03
## [61,] 1.100268e-03 1.081396e-03 1.059746e-03 1.035655e-03 1.009453e-03
## [62,] 1.091337e-03 1.072360e-03 1.050638e-03 1.026507e-03 1.000296e-03
## [63,] 1.067214e-03 1.047991e-03 1.026111e-03 1.001908e-03 9.757056e-04
## [64,] 1.028906e-03 1.009335e-03 9.872466e-04 9.629695e-04 9.368217e-04
## [65,] 9.779835e-04 9.580183e-04 9.357216e-04 9.114147e-04 8.854070e-04
## [66,] 9.164724e-04 8.961344e-04 8.736902e-04 8.494510e-04 8.237145e-04
## [67,] 8.467186e-04 8.261013e-04 8.036337e-04 7.796138e-04 7.543248e-04
## [68,] 7.712420e-04 7.505063e-04 7.281966e-04 7.045949e-04 6.799670e-04
## [69,] 6.925866e-04 6.719489e-04 6.500234e-04 6.270733e-04 6.033442e-04
## [70,] 6.131819e-04 5.928966e-04 5.716092e-04 5.495611e-04 5.269753e-04
## [71,] 5.352250e-04 5.155639e-04 4.951756e-04 4.742774e-04 4.530678e-04
## [72,] 4.605909e-04 4.418216e-04 4.225801e-04 4.030582e-04 3.834282e-04
## [73,] 3.907744e-04 3.731403e-04 3.552620e-04 3.373044e-04 3.194130e-04
## [74,] 3.268653e-04 3.105691e-04 2.942242e-04 2.779681e-04 2.619203e-04
## [75,] 2.695524e-04 2.547447e-04 2.400478e-04 2.255728e-04 2.114138e-04
## [76,] 2.191541e-04 2.059268e-04 1.929332e-04 1.802592e-04 1.679753e-04
## [77,] 1.756660e-04 1.640520e-04 1.527587e-04 1.418492e-04 1.313728e-04
## [78,] 1.388218e-04 1.287986e-04 1.191502e-04 1.099196e-04 1.011377e-04
## [79,] 1.081582e-04 9.965551e-05 9.155322e-05 8.387692e-05 7.664236e-05
## [80,] 8.307939e-05 7.598930e-05 6.930143e-05 6.302727e-05 5.717054e-05
## [81,] 6.291567e-05 5.710372e-05 5.167739e-05 4.663729e-05 4.197818e-05
## [82,] 4.697386e-05 4.228996e-05 3.796198e-05 3.398263e-05 3.034050e-05
## [83,] 3.457685e-05 3.086533e-05 2.747179e-05 2.438370e-05 2.158587e-05
## [84,] 2.509265e-05 2.220064e-05 1.958461e-05 1.722903e-05 1.511696e-05
## [85,] 1.795310e-05 1.573696e-05 1.375411e-05 1.198784e-05 1.042094e-05
## [86,] 1.266381e-05 1.099352e-05 9.515689e-06 8.213724e-06 7.071270e-06
## [87,] 8.806856e-06 7.568573e-06 6.485414e-06 5.541891e-06 4.723193e-06
## [88,] 6.038226e-06 5.135135e-06 4.354366e-06 3.682092e-06 3.105430e-06
## [89,] 4.081593e-06 3.433607e-06 2.880064e-06 2.409074e-06 2.009813e-06
## [90,] 2.720081e-06 2.262612e-06 1.876589e-06 1.552117e-06 1.280376e-06
## [91,] 1.787170e-06 1.469368e-06 1.204553e-06 9.847312e-07 8.029104e-07
## [92,] 1.157662e-06 9.403982e-07 7.616799e-07 6.152190e-07 4.956151e-07
## [93,] 7.393147e-07 5.931354e-07 4.744702e-07 3.784954e-07 3.011409e-07
## [94,] 4.654884e-07 3.686861e-07 2.911624e-07 2.293033e-07 1.801121e-07
## [95,] 2.889484e-07 2.258502e-07 1.760157e-07 1.367977e-07 1.060385e-07
## [96,] 1.768331e-07 1.363469e-07 1.048232e-07 8.036486e-08 6.145150e-08
## [97,] 1.066937e-07 8.112050e-08 6.149690e-08 4.649138e-08 3.505493e-08
## [98,] 6.346664e-08 4.756384e-08 3.554176e-08 2.648485e-08 1.968401e-08
## [99,] 3.722068e-08 2.748426e-08 2.023552e-08 1.485735e-08 1.087992e-08
## [100,] 2.152062e-08 1.565136e-08 1.134958e-08 8.207371e-09 5.919511e-09
## [,41] [,42] [,43] [,44] [,45]
## [1,] 2.416506e-16 1.156839e-16 5.525514e-17 2.633497e-17 1.252551e-17
## [2,] 6.317077e-16 3.095686e-16 1.513604e-16 7.384621e-17 3.595394e-17
## [3,] 1.624880e-15 8.147918e-16 4.076495e-16 2.035108e-16 1.013889e-16
## [4,] 4.112475e-15 2.109319e-15 1.079434e-15 5.512016e-16 2.808841e-16
## [5,] 1.024146e-14 5.370859e-15 2.810221e-15 1.467227e-15 7.644633e-16
## [6,] 2.509560e-14 1.345089e-14 7.193155e-15 3.838380e-15 2.043991e-15
## [7,] 6.050762e-14 3.313326e-14 1.810228e-14 9.868757e-15 5.369010e-15
## [8,] 1.435487e-13 8.027552e-14 4.479008e-14 2.493680e-14 1.385486e-14
## [9,] 3.350930e-13 1.912969e-13 1.089595e-13 6.192741e-14 3.512392e-14
## [10,] 7.696766e-13 4.483720e-13 2.606055e-13 1.511433e-13 8.747755e-14
## [11,] 1.739514e-12 1.033653e-12 6.128252e-13 3.625422e-13 2.140341e-13
## [12,] 3.868340e-12 2.343781e-12 1.416852e-12 8.546576e-13 5.144726e-13
## [13,] 8.464436e-12 5.227152e-12 3.220678e-12 1.980111e-12 1.214883e-12
## [14,] 1.822419e-11 1.146619e-11 7.197883e-12 4.508694e-12 2.818378e-12
## [15,] 3.860782e-11 2.473881e-11 1.581602e-11 1.008964e-11 6.423281e-12
## [16,] 8.047837e-11 5.249819e-11 3.416838e-11 2.219038e-11 1.438161e-11
## [17,] 1.650669e-10 1.095761e-10 7.257489e-11 4.796421e-11 3.163376e-11
## [18,] 3.331328e-10 2.249536e-10 1.515595e-10 1.018905e-10 6.835761e-11
## [19,] 6.615334e-10 4.542301e-10 3.111823e-10 2.127228e-10 1.451162e-10
## [20,] 1.292596e-09 9.021208e-10 6.281760e-10 4.364739e-10 3.026479e-10
## [21,] 2.485141e-09 1.762217e-09 1.246759e-09 8.801692e-10 6.200864e-10
## [22,] 4.701277e-09 3.385789e-09 2.432869e-09 1.744367e-09 1.248129e-09
## [23,] 8.750996e-09 6.398323e-09 4.667558e-09 3.397610e-09 2.468083e-09
## [24,] 1.602788e-08 1.189264e-08 8.804313e-09 6.503886e-09 4.794605e-09
## [25,] 2.888493e-08 2.174184e-08 1.632812e-08 1.223591e-08 9.150370e-09
## [26,] 5.122046e-08 3.909489e-08 2.977224e-08 2.262367e-08 1.715605e-08
## [27,] 8.937015e-08 6.914323e-08 5.337301e-08 4.111062e-08 3.160012e-08
## [28,] 1.534328e-07 1.202777e-07 9.407338e-08 7.341903e-08 5.718117e-08
## [29,] 2.591916e-07 2.057910e-07 1.630222e-07 1.288627e-07 1.016506e-07
## [30,] 4.308245e-07 3.463167e-07 2.777546e-07 2.222846e-07 1.775252e-07
## [31,] 7.046229e-07 5.732266e-07 4.652762e-07 3.768387e-07 3.045810e-07
## [32,] 1.133939e-06 9.332222e-07 7.662935e-07 6.278639e-07 5.133792e-07
## [33,] 1.795560e-06 1.494341e-06 1.240836e-06 1.028109e-06 8.500934e-07
## [34,] 2.797606e-06 2.353531e-06 1.975460e-06 1.654538e-06 1.382891e-06
## [35,] 4.288943e-06 3.645828e-06 3.092125e-06 2.616846e-06 2.210048e-06
## [36,] 6.469797e-06 5.554925e-06 4.758616e-06 4.067648e-06 3.469833e-06
## [37,] 9.603022e-06 8.324652e-06 7.200110e-06 6.214017e-06 5.351902e-06
## [38,] 1.402497e-05 1.227043e-05 1.071106e-05 9.329648e-06 8.109622e-06
## [39,] 2.015454e-05 1.778932e-05 1.566609e-05 1.376645e-05 1.207218e-05
## [40,] 2.849842e-05 2.536674e-05 2.252804e-05 1.996376e-05 1.765484e-05
## [41,] 3.965019e-05 3.557753e-05 3.185086e-05 2.845291e-05 2.536499e-05
## [42,] 5.428086e-05 4.907866e-05 4.427450e-05 3.985427e-05 3.580127e-05
## [43,] 7.311811e-05 6.659100e-05 6.050915e-05 5.486391e-05 4.964265e-05
## [44,] 9.691255e-05 8.886774e-05 8.130612e-05 7.422710e-05 6.762453e-05
## [45,] 1.263898e-04 1.166484e-04 1.074138e-04 9.869657e-05 9.049954e-05
## [46,] 1.621887e-04 1.505979e-04 1.395186e-04 1.289750e-04 1.189820e-04
## [47,] 2.047888e-04 1.912339e-04 1.781717e-04 1.656428e-04 1.536771e-04
## [48,] 2.544302e-04 2.388454e-04 2.237073e-04 2.090757e-04 1.949978e-04
## [49,] 3.110339e-04 2.934098e-04 2.761573e-04 2.593573e-04 2.430765e-04
## [50,] 3.741311e-04 3.545180e-04 3.351719e-04 3.161966e-04 2.976797e-04
## [51,] 4.428093e-04 4.213157e-04 3.999572e-04 3.788608e-04 3.581362e-04
## [52,] 5.156872e-04 4.924735e-04 4.692392e-04 4.461346e-04 4.232920e-04
## [53,] 5.909257e-04 5.661922e-04 5.412649e-04 5.163165e-04 4.915013e-04
## [54,] 6.662792e-04 6.402518e-04 6.138472e-04 5.872594e-04 5.606633e-04
## [55,] 7.391906e-04 7.121041e-04 6.844559e-04 6.564591e-04 6.283077e-04
## [56,] 8.069255e-04 7.790082e-04 7.503528e-04 7.211893e-04 6.917281e-04
## [57,] 8.667369e-04 8.381975e-04 8.087613e-04 7.786721e-04 7.481546e-04
## [58,] 9.160474e-04 8.870672e-04 8.570577e-04 8.262735e-04 7.949504e-04
## [59,] 9.526326e-04 9.233631e-04 8.929653e-04 8.617015e-04 8.298156e-04
## [60,] 9.747870e-04 9.453538e-04 9.147321e-04 8.831890e-04 8.509733e-04
## [61,] 9.814561e-04 9.519672e-04 9.212724e-04 8.896400e-04 8.573202e-04
## [62,] 9.723192e-04 9.428779e-04 9.122566e-04 8.807219e-04 8.485218e-04
## [63,] 9.478152e-04 9.185330e-04 8.881387e-04 8.568940e-04 8.250415e-04
## [64,] 9.091076e-04 8.801160e-04 8.501184e-04 8.193683e-04 7.881001e-04
## [65,] 8.579930e-04 8.294512e-04 8.000421e-04 7.700078e-04 7.395709e-04
## [66,] 7.967628e-04 7.688606e-04 7.402546e-04 7.111723e-04 6.818220e-04
## [67,] 7.280331e-04 7.009874e-04 6.734172e-04 6.455329e-04 6.175258e-04
## [68,] 6.545610e-04 6.286062e-04 6.023128e-04 5.758718e-04 5.494547e-04
## [69,] 5.790631e-04 5.544379e-04 5.296571e-04 5.048902e-04 4.802878e-04
## [70,] 5.040556e-04 4.809866e-04 4.579334e-04 4.350428e-04 4.124431e-04
## [71,] 4.317257e-04 4.104109e-04 3.892644e-04 3.684095e-04 3.479520e-04
## [72,] 3.638431e-04 3.444376e-04 3.253283e-04 3.066150e-04 2.883816e-04
## [73,] 3.017152e-04 2.843205e-04 2.673215e-04 2.507956e-04 2.348056e-04
## [74,] 2.461825e-04 2.308402e-04 2.159637e-04 2.016091e-04 1.878201e-04
## [75,] 1.976487e-04 1.843405e-04 1.715388e-04 1.592811e-04 1.475940e-04
## [76,] 1.561376e-04 1.447890e-04 1.339611e-04 1.236751e-04 1.139431e-04
## [77,] 1.213662e-04 1.118553e-04 1.028561e-04 9.437652e-05 8.641721e-05
## [78,] 9.282503e-05 8.499301e-05 7.764549e-05 7.077983e-05 6.438804e-05
## [79,] 6.985687e-05 6.352076e-05 5.762848e-05 5.216976e-05 4.713061e-05
## [80,] 5.172851e-05 4.669324e-05 4.205261e-05 3.779132e-05 3.389172e-05
## [81,] 3.769014e-05 3.375967e-05 3.017057e-05 2.690476e-05 2.394292e-05
## [82,] 2.702105e-05 2.400756e-05 2.128183e-05 1.882478e-05 1.661703e-05
## [83,] 1.906135e-05 1.679206e-05 1.475941e-05 1.294478e-05 1.132980e-05
## [84,] 1.323067e-05 1.155222e-05 1.006385e-05 8.748286e-06 7.588996e-06
## [85,] 9.036221e-06 7.816871e-06 6.746740e-06 5.810524e-06 4.993890e-06
## [86,] 6.072516e-06 5.202430e-06 4.446913e-06 3.792900e-06 3.228394e-06
## [87,] 4.015387e-06 3.405535e-06 2.881762e-06 2.433275e-06 2.050344e-06
## [88,] 2.612540e-06 2.192655e-06 1.836084e-06 1.534175e-06 1.279263e-06
## [89,] 1.672535e-06 1.388548e-06 1.150169e-06 9.506542e-07 7.841261e-07
## [90,] 1.053572e-06 8.648833e-07 7.083789e-07 5.789405e-07 4.721769e-07
## [91,] 6.530258e-07 5.298585e-07 4.289478e-07 3.465047e-07 2.793292e-07
## [92,] 3.982659e-07 3.192774e-07 2.553748e-07 2.038206e-07 1.623382e-07
## [93,] 2.389972e-07 1.892266e-07 1.494812e-07 1.178287e-07 9.268680e-08
## [94,] 1.411202e-07 1.103067e-07 8.602599e-08 6.694491e-08 5.198857e-08
## [95,] 8.199032e-08 6.324522e-08 4.867520e-08 3.738075e-08 2.864776e-08
## [96,] 4.687192e-08 3.566640e-08 2.707825e-08 2.051362e-08 1.550838e-08
## [97,] 2.636572e-08 1.978320e-08 1.481045e-08 1.106370e-08 8.247738e-09
## [98,] 1.459296e-08 1.079294e-08 7.964360e-09 5.864382e-09 4.309195e-09
## [99,] 7.947382e-09 5.791469e-09 4.210835e-09 3.054977e-09 2.211822e-09
## [100,] 4.258744e-09 3.056635e-09 2.188872e-09 1.564075e-09 1.115314e-09
## [,46] [,47] [,48] [,49] [,50]
## [1,] 5.945656e-18 2.816976e-18 1.332232e-18 6.289591e-19 2.964431e-19
## [2,] 1.747055e-17 8.473164e-18 4.102022e-18 1.982423e-18 9.564690e-19
## [3,] 5.041215e-17 2.501837e-17 1.239356e-17 6.128851e-18 3.025787e-18
## [4,] 1.428518e-16 7.251420e-17 3.674294e-17 1.858534e-17 9.385201e-18
## [5,] 3.975190e-16 2.063184e-16 1.068886e-16 5.528036e-17 2.854214e-17
## [6,] 1.086305e-15 5.762405e-16 3.051188e-16 1.612798e-16 8.510742e-17
## [7,] 2.915196e-15 1.579866e-15 8.546459e-16 4.615279e-16 2.488204e-16
## [8,] 7.682552e-15 4.251945e-15 2.349001e-15 1.295462e-15 7.132511e-16
## [9,] 1.988223e-14 1.123326e-14 6.335197e-15 3.566648e-15 2.004641e-15
## [10,] 5.052965e-14 2.913230e-14 1.676551e-14 9.631735e-15 5.524191e-15
## [11,] 1.261100e-13 7.416425e-14 4.353647e-14 2.551277e-14 1.492583e-14
## [12,] 3.090824e-13 1.853383e-13 1.109352e-13 6.628566e-14 3.954086e-14
## [13,] 7.439111e-13 4.546598e-13 2.773739e-13 1.689236e-13 1.027050e-13
## [14,] 1.758286e-12 1.094861e-12 6.805208e-13 4.222502e-13 2.615620e-13
## [15,] 4.081125e-12 2.588104e-12 1.638314e-12 1.035281e-12 6.531240e-13
## [16,] 9.302338e-12 6.005589e-12 3.870192e-12 2.489748e-12 1.599022e-12
## [17,] 2.082217e-11 1.367982e-11 8.971144e-12 5.873017e-12 3.838407e-12
## [18,] 4.577010e-11 3.058832e-11 2.040530e-11 1.358864e-11 9.034111e-12
## [19,] 9.880057e-11 6.714009e-11 4.554260e-11 3.083895e-11 2.084767e-11
## [20,] 2.094396e-10 1.446635e-10 9.974072e-11 6.864863e-11 4.717018e-11
## [21,] 4.359936e-10 3.059756e-10 2.143419e-10 1.498901e-10 1.046442e-10
## [22,] 8.912984e-10 6.352805e-10 4.519822e-10 3.210132e-10 2.276150e-10
## [23,] 1.789320e-09 1.294777e-09 9.352235e-10 6.743443e-10 4.854274e-10
## [24,] 3.527562e-09 2.590450e-09 1.898844e-09 1.389470e-09 1.015045e-09
## [25,] 6.829408e-09 5.087522e-09 3.783058e-09 2.808184e-09 2.081059e-09
## [26,] 1.298414e-08 9.808176e-09 7.395653e-09 5.566865e-09 4.183321e-09
## [27,] 2.424183e-08 1.856184e-08 1.418698e-08 1.082442e-08 8.245096e-09
## [28,] 4.444668e-08 3.448295e-08 2.670441e-08 2.064464e-08 1.593339e-08
## [29,] 8.002672e-08 6.288380e-08 4.932373e-08 3.862059e-08 3.018966e-08
## [30,] 1.414987e-07 1.125703e-07 8.939406e-08 7.086622e-08 5.608493e-08
## [31,] 2.456925e-07 1.978153e-07 1.589795e-07 1.275465e-07 1.021579e-07
## [32,] 4.189411e-07 3.412295e-07 2.774301e-07 2.251678e-07 1.824465e-07
## [33,] 7.015134e-07 5.778087e-07 4.750569e-07 3.898999e-07 3.194750e-07
## [34,] 1.153561e-06 9.604449e-07 7.982108e-07 6.622296e-07 5.484991e-07
## [35,] 1.862805e-06 1.567154e-06 1.316041e-06 1.103248e-06 9.233214e-07
## [36,] 2.954035e-06 2.510161e-06 2.129124e-06 1.802794e-06 1.523939e-06
## [37,] 4.600297e-06 3.946775e-06 3.379966e-06 2.889536e-06 2.466154e-06
## [38,] 7.035223e-06 6.091636e-06 5.265061e-06 4.542750e-06 3.913006e-06
## [39,] 1.056554e-05 9.229461e-06 8.047749e-06 7.005165e-06 6.087495e-06
## [40,] 1.558215e-05 1.372681e-05 1.207050e-05 1.059563e-05 9.285483e-06
## [41,] 2.256757e-05 2.004073e-05 1.776461e-05 1.571968e-05 1.388699e-05
## [42,] 3.209697e-05 2.872158e-05 2.565465e-05 2.287546e-05 2.036337e-05
## [43,] 4.482962e-05 4.040675e-05 3.635435e-05 3.265160e-05 2.927717e-05
## [44,] 6.148765e-05 5.580208e-05 5.055060e-05 4.571388e-05 4.127111e-05
## [45,] 8.281950e-05 7.564803e-05 6.897252e-05 6.277698e-05 5.704283e-05
## [46,] 1.095466e-04 1.006690e-04 9.234337e-05 8.455934e-05 7.730254e-05
## [47,] 1.422943e-04 1.315057e-04 1.213152e-04 1.117202e-04 1.027127e-04
## [48,] 1.815087e-04 1.686336e-04 1.563883e-04 1.447806e-04 1.338112e-04
## [49,] 2.273680e-04 2.122729e-04 1.978214e-04 1.840339e-04 1.709223e-04
## [50,] 2.796940e-04 2.622986e-04 2.455399e-04 2.294532e-04 2.140635e-04
## [51,] 3.378770e-04 3.181618e-04 2.990548e-04 2.806075e-04 2.628598e-04
## [52,] 4.008261e-04 3.788357e-04 3.574038e-04 3.365994e-04 3.164781e-04
## [53,] 4.669552e-04 4.427969e-04 4.191287e-04 3.960372e-04 3.735950e-04
## [54,] 5.342151e-04 5.080531e-04 4.822979e-04 4.570541e-04 4.324104e-04
## [55,] 6.001765e-04 5.722218e-04 5.445820e-04 5.173780e-04 4.907146e-04
## [56,] 6.621609e-04 6.326602e-04 6.033800e-04 5.744564e-04 5.460088e-04
## [57,] 7.174142e-04 6.866374e-04 6.559917e-04 6.256264e-04 5.956733e-04
## [58,] 7.633052e-04 7.315351e-04 6.998187e-04 6.683159e-04 6.371686e-04
## [59,] 7.975322e-04 7.650569e-04 7.325759e-04 7.002568e-04 6.682492e-04
## [60,] 8.183142e-04 7.854220e-04 7.524878e-04 7.196838e-04 6.871638e-04
## [61,] 8.245438e-04 7.915224e-04 7.584485e-04 7.254958e-04 6.928193e-04
## [62,] 8.158854e-04 7.830224e-04 7.501232e-04 7.173595e-04 6.848846e-04
## [63,] 7.928051e-04 7.603892e-04 7.279790e-04 6.957410e-04 6.638236e-04
## [64,] 7.565289e-04 7.248506e-04 6.932421e-04 6.618615e-04 6.308494e-04
## [65,] 7.089350e-04 6.782845e-04 6.477848e-04 6.175833e-04 5.878095e-04
## [66,] 6.523928e-04 6.230546e-04 5.939590e-04 5.652397e-04 5.370135e-04
## [67,] 5.895677e-04 5.618121e-04 5.343944e-04 5.074329e-04 4.810294e-04
## [68,] 5.232148e-04 4.972868e-04 4.717884e-04 4.468208e-04 4.224700e-04
## [69,] 4.559825e-04 4.320893e-04 4.087072e-04 3.859197e-04 3.637960e-04
## [70,] 3.902457e-04 3.685454e-04 3.474219e-04 3.269409e-04 3.071551e-04
## [71,] 3.279819e-04 3.085739e-04 2.897890e-04 2.716755e-04 2.542702e-04
## [72,] 2.706970e-04 2.536169e-04 2.371845e-04 2.214320e-04 2.063815e-04
## [73,] 2.194011e-04 2.046200e-04 1.904893e-04 1.770269e-04 1.642419e-04
## [74,] 1.746289e-04 1.620573e-04 1.501187e-04 1.388183e-04 1.281549e-04
## [75,] 1.364945e-04 1.259912e-04 1.160857e-04 1.067734e-04 9.804464e-05
## [76,] 1.047697e-04 9.615291e-05 8.808510e-05 8.055422e-05 7.354455e-05
## [77,] 7.897297e-05 7.203366e-05 6.558522e-05 5.961043e-05 5.408974e-05
## [78,] 5.845786e-05 5.297359e-05 4.791696e-05 4.326782e-05 3.900471e-05
## [79,] 4.249415e-05 3.824142e-05 3.435203e-05 3.080467e-05 2.757764e-05
## [80,] 3.033452e-05 2.709939e-05 2.416547e-05 2.151181e-05 1.911767e-05
## [81,] 2.126508e-05 1.885106e-05 1.668085e-05 1.473486e-05 1.299423e-05
## [82,] 1.463925e-05 1.287250e-05 1.129850e-05 9.899747e-06 8.659721e-06
## [83,] 9.896742e-06 8.628611e-06 7.509360e-06 6.523954e-06 5.658419e-06
## [84,] 6.570335e-06 5.677663e-06 4.897395e-06 4.217027e-06 3.625134e-06
## [85,] 4.283558e-06 3.667323e-06 3.134058e-06 2.673688e-06 2.277146e-06
## [86,] 2.742481e-06 2.325303e-06 1.968017e-06 1.662739e-06 1.402476e-06
## [87,] 1.724266e-06 1.447307e-06 1.212636e-06 1.014252e-06 8.469111e-07
## [88,] 1.064601e-06 8.842857e-07 7.331819e-07 6.068435e-07 5.014389e-07
## [89,] 6.454925e-07 5.303656e-07 4.349836e-07 3.561363e-07 2.910958e-07
## [90,] 3.843416e-07 3.122547e-07 2.532292e-07 2.050051e-07 1.656883e-07
## [91,] 2.247322e-07 1.804651e-07 1.446554e-07 1.157502e-07 9.246670e-08
## [92,] 1.290432e-07 1.023831e-07 8.108401e-08 6.410439e-08 5.059606e-08
## [93,] 7.276571e-08 5.701833e-08 4.459802e-08 3.482271e-08 2.714475e-08
## [94,] 4.029398e-08 3.117104e-08 2.406998e-08 1.855437e-08 1.427884e-08
## [95,] 2.191167e-08 1.672780e-08 1.274723e-08 9.697025e-09 7.364404e-09
## [96,] 1.170125e-08 8.812057e-09 6.624233e-09 4.970953e-09 3.724090e-09
## [97,] 6.136366e-09 4.556869e-09 3.377810e-09 2.499480e-09 1.846463e-09
## [98,] 3.160181e-09 2.313165e-09 1.690108e-09 1.232731e-09 8.976327e-10
## [99,] 1.598212e-09 1.152650e-09 8.298007e-10 5.963429e-10 4.278530e-10
## [100,] 7.937407e-10 5.638181e-10 3.997724e-10 2.829648e-10 1.999532e-10
## [,51] [,52] [,53] [,54] [,55]
## [1,] 1.394971e-19 6.554220e-20 3.074924e-20 1.440552e-20 6.739505e-21
## [2,] 4.607342e-19 2.215961e-19 1.064219e-19 5.103658e-20 2.444197e-20
## [3,] 1.491429e-18 7.340048e-19 3.607054e-19 1.770059e-19 8.674153e-20
## [4,] 4.731747e-18 2.381944e-18 1.197289e-18 6.009631e-19 3.012318e-19
## [5,] 1.471320e-17 7.572860e-18 3.891975e-18 1.997384e-18 1.023664e-18
## [6,] 4.483940e-17 2.358762e-17 1.238985e-17 6.498740e-18 3.404055e-18
## [7,] 1.339304e-16 7.197872e-17 3.862661e-17 2.069906e-17 1.107691e-17
## [8,] 3.920714e-16 2.151889e-16 1.179321e-16 6.453951e-17 3.527146e-17
## [9,] 1.124911e-15 6.302770e-16 3.526163e-16 1.969947e-16 1.099034e-16
## [10,] 3.163281e-15 1.808585e-15 1.032517e-15 5.886232e-16 3.351054e-16
## [11,] 8.718148e-15 5.084427e-15 2.960855e-15 1.721765e-15 9.998495e-16
## [12,] 2.354927e-14 1.400364e-14 8.314991e-15 4.930195e-15 2.919245e-15
## [13,] 6.234442e-14 3.778641e-14 2.286816e-14 1.382000e-14 8.340447e-15
## [14,] 1.617650e-13 9.989096e-14 6.159215e-14 3.792329e-14 2.331798e-14
## [15,] 4.113752e-13 2.587096e-13 1.624592e-13 1.018727e-13 6.379331e-14
## [16,] 1.025318e-12 6.564394e-13 4.196509e-13 2.678941e-13 1.707821e-13
## [17,] 2.504643e-12 1.631821e-12 1.061590e-12 6.896398e-13 4.473960e-13
## [18,] 5.996527e-12 3.974168e-12 2.629965e-12 1.737942e-12 1.146898e-12
## [19,] 1.407086e-11 9.482343e-12 6.380697e-12 4.287479e-12 2.877002e-12
## [20,] 3.235998e-11 2.216567e-11 1.516041e-11 1.035434e-11 7.062172e-12
## [21,] 7.293948e-11 5.076238e-11 3.527595e-11 2.447918e-11 1.696365e-11
## [22,] 1.611328e-10 1.138935e-10 8.038429e-11 5.665328e-11 3.987338e-11
## [23,] 3.488766e-10 2.503522e-10 1.793860e-10 1.283533e-10 9.171272e-11
## [24,] 7.403323e-10 5.391379e-10 3.920401e-10 2.846706e-10 2.064234e-10
## [25,] 1.539743e-09 1.137481e-09 8.390684e-10 6.180621e-10 4.546435e-10
## [26,] 3.138605e-09 2.351170e-09 1.758689e-09 1.313637e-09 9.798641e-10
## [27,] 6.270351e-09 4.761238e-09 3.609985e-09 2.733206e-09 2.066538e-09
## [28,] 1.227761e-08 9.446077e-09 7.256824e-09 5.567025e-09 4.264852e-09
## [29,] 2.356148e-08 1.836026e-08 1.428606e-08 1.110012e-08 8.612855e-09
## [30,] 4.431575e-08 3.496246e-08 2.754250e-08 2.166637e-08 1.702053e-08
## [31,] 8.169218e-08 6.522604e-08 5.200187e-08 4.139981e-08 3.291409e-08
## [32,] 1.475943e-07 1.192163e-07 9.615221e-08 7.743981e-08 6.228356e-08
## [33,] 2.613518e-07 2.134746e-07 1.741103e-07 1.418025e-07 1.153315e-07
## [34,] 4.535741e-07 3.745007e-07 3.087552e-07 2.541895e-07 2.089801e-07
## [35,] 7.715033e-07 6.436573e-07 5.362028e-07 4.460513e-07 3.705483e-07
## [36,] 1.286157e-06 1.083809e-06 9.119448e-07 7.662419e-07 6.429356e-07
## [37,] 2.101441e-06 1.787913e-06 1.518913e-06 1.288549e-06 1.091624e-06
## [38,] 3.365171e-06 2.889587e-06 2.477547e-06 2.121238e-06 1.813682e-06
## [39,] 5.281580e-06 4.575316e-06 3.957635e-06 3.418471e-06 2.948711e-06
## [40,] 8.124326e-06 7.097447e-06 6.191194e-06 5.392971e-06 4.691221e-06
## [41,] 1.224835e-05 1.078646e-05 9.485010e-06 8.328716e-06 7.303357e-06
## [42,] 1.809817e-05 1.606023e-05 1.423069e-05 1.259163e-05 1.112607e-05
## [43,] 2.620949e-05 2.342718e-05 2.090928e-05 1.863543e-05 1.658609e-05
## [44,] 3.720054e-05 3.347991e-05 3.008686e-05 2.699919e-05 2.419518e-05
## [45,] 5.174957e-05 4.687533e-05 4.239742e-05 3.829269e-05 3.453795e-05
## [46,] 7.055552e-05 6.429840e-05 5.850955e-05 5.316610e-05 4.824441e-05
## [47,] 9.428053e-05 8.640756e-05 7.907495e-05 7.226159e-05 6.594476e-05
## [48,] 1.234752e-04 1.137625e-04 1.046588e-04 9.614662e-05 8.820563e-05
## [49,] 1.584910e-04 1.467379e-04 1.356555e-04 1.252317e-04 1.154503e-04
## [50,] 1.993866e-04 1.854305e-04 1.721964e-04 1.596792e-04 1.478689e-04
## [51,] 2.458409e-04 2.295705e-04 2.140599e-04 1.993132e-04 1.853280e-04
## [52,] 2.970839e-04 2.784496e-04 2.605982e-04 2.435442e-04 2.272941e-04
## [53,] 3.518609e-04 3.308818e-04 3.106936e-04 2.913219e-04 2.727835e-04
## [54,] 4.084412e-04 3.852078e-04 3.627588e-04 3.411319e-04 3.203545e-04
## [55,] 4.646811e-04 4.393524e-04 4.147901e-04 3.910437e-04 3.681513e-04
## [56,] 5.181401e-04 4.909380e-04 4.644764e-04 4.388156e-04 4.140041e-04
## [57,] 5.662473e-04 5.374477e-04 5.093586e-04 4.820505e-04 4.555811e-04
## [58,] 6.065016e-04 5.764232e-04 5.470266e-04 5.183903e-04 4.905796e-04
## [59,] 6.366848e-04 6.056791e-04 5.753314e-04 5.457264e-04 5.169352e-04
## [60,] 6.550642e-04 6.235043e-04 5.925874e-04 5.624020e-04 5.330224e-04
## [61,] 6.605566e-04 6.288283e-04 5.977390e-04 5.673781e-04 5.378209e-04
## [62,] 6.528343e-04 6.213275e-04 5.904669e-04 5.603405e-04 5.310221e-04
## [63,] 6.323576e-04 6.014573e-04 5.712211e-04 5.417329e-04 5.130625e-04
## [64,] 6.003289e-04 5.704070e-04 5.411751e-04 5.127105e-04 4.850771e-04
## [65,] 5.585764e-04 5.299814e-04 5.021068e-04 4.750212e-04 4.487806e-04
## [66,] 5.093810e-04 4.824277e-04 4.562251e-04 4.308317e-04 4.062938e-04
## [67,] 4.552707e-04 4.302290e-04 4.059636e-04 3.825216e-04 3.599391e-04
## [68,] 3.988076e-04 3.758918e-04 3.537690e-04 3.324743e-04 3.120331e-04
## [69,] 3.423922e-04 3.217524e-04 3.019098e-04 2.828877e-04 2.647007e-04
## [70,] 2.881053e-04 2.698215e-04 2.523245e-04 2.356263e-04 2.197314e-04
## [71,] 2.375994e-04 2.216803e-04 2.065221e-04 1.921265e-04 1.784893e-04
## [72,] 1.920464e-04 1.784323e-04 1.655382e-04 1.533573e-04 1.418780e-04
## [73,] 1.521367e-04 1.407070e-04 1.299436e-04 1.198328e-04 1.103571e-04
## [74,] 1.181213e-04 1.087060e-04 9.989328e-05 9.166434e-05 8.399796e-05
## [75,] 8.988549e-05 8.227868e-05 7.520426e-05 6.864028e-05 6.256333e-05
## [76,] 6.703748e-05 6.101222e-05 5.544641e-05 5.031662e-05 4.559883e-05
## [77,] 4.900186e-05 4.432433e-05 4.003402e-05 3.610752e-05 3.252148e-05
## [78,] 3.510542e-05 3.154737e-05 2.830803e-05 2.536516e-05 2.269707e-05
## [79,] 2.464919e-05 2.199784e-05 1.960266e-05 1.744341e-05 1.550072e-05
## [80,] 1.696281e-05 1.502771e-05 1.329368e-05 1.174300e-05 1.035898e-05
## [81,] 1.144089e-05 1.005776e-05 8.828767e-06 7.738919e-06 6.774304e-06
## [82,] 7.562906e-06 6.594859e-06 5.742219e-06 4.992699e-06 4.335061e-06
## [83,] 4.899867e-06 4.236484e-06 3.657499e-06 3.153148e-06 2.714617e-06
## [84,] 3.111335e-06 2.666253e-06 2.281463e-06 1.949427e-06 1.663431e-06
## [85,] 1.936315e-06 1.643967e-06 1.393694e-06 1.179841e-06 9.974326e-07
## [86,] 1.181060e-06 9.930713e-07 8.337701e-07 6.990266e-07 5.852551e-07
## [87,] 7.060488e-07 5.877107e-07 4.884835e-07 4.054317e-07 3.360390e-07
## [88,] 4.136798e-07 3.407553e-07 2.802711e-07 2.301948e-07 1.888065e-07
## [89,] 2.375531e-07 1.935608e-07 1.574822e-07 1.279461e-07 1.038071e-07
## [90,] 1.336977e-07 1.077179e-07 8.665817e-08 6.961655e-08 5.584955e-08
## [91,] 7.374861e-08 5.872924e-08 4.669950e-08 3.708102e-08 2.940324e-08
## [92,] 3.987040e-08 3.137014e-08 2.464562e-08 1.933502e-08 1.514794e-08
## [93,] 2.112585e-08 1.641627e-08 1.273773e-08 9.869413e-09 7.636505e-09
## [94,] 1.097096e-08 8.416435e-09 6.447172e-09 4.931645e-09 3.767199e-09
## [95,] 5.583952e-09 4.227443e-09 3.195738e-09 2.412382e-09 1.818550e-09
## [96,] 2.785516e-09 2.080286e-09 1.551308e-09 1.155192e-09 8.590426e-10
## [97,] 1.361872e-09 1.002915e-09 7.374785e-10 5.415220e-10 3.970882e-10
## [98,] 6.525801e-10 4.736974e-10 3.433410e-10 2.485030e-10 1.796147e-10
## [99,] 3.064772e-10 2.191966e-10 1.565405e-10 1.116352e-10 7.950231e-11
## [100,] 1.410683e-10 9.937158e-11 6.989604e-11 4.909354e-11 3.443502e-11
## [,56] [,57] [,58] [,59] [,60]
## [1,] 3.148854e-21 1.469343e-21 6.847922e-22 3.187705e-22 1.482171e-22
## [2,] 1.169005e-20 5.583964e-21 2.663999e-21 1.269431e-21 6.042058e-22
## [3,] 4.245140e-20 2.074928e-20 1.012929e-20 4.938997e-21 2.405467e-21
## [4,] 1.507924e-19 7.538832e-20 3.764384e-20 1.877445e-20 9.352798e-21
## [5,] 5.239365e-19 2.678218e-19 1.367346e-19 6.972597e-20 3.551498e-20
## [6,] 1.780695e-18 9.303120e-19 4.854370e-19 2.530001e-19 1.317071e-19
## [7,] 5.919873e-18 3.159745e-18 1.684446e-18 8.969029e-19 4.770180e-19
## [8,] 1.925072e-17 1.049340e-17 5.712824e-18 3.106483e-18 1.687283e-18
## [9,] 6.123408e-17 3.407385e-17 1.893715e-17 1.051214e-17 5.828664e-18
## [10,] 1.905247e-16 1.081850e-16 6.135472e-17 3.475461e-17 1.966427e-17
## [11,] 5.798573e-16 3.358563e-16 1.942903e-16 1.122619e-16 6.479095e-17
## [12,] 1.726246e-15 1.019485e-15 6.013456e-16 3.542835e-16 2.084868e-16
## [13,] 5.026852e-15 3.025860e-15 1.819143e-15 1.092366e-15 6.551952e-16
## [14,] 1.431862e-14 8.781278e-15 5.378725e-15 3.290671e-15 2.010900e-15
## [15,] 3.989498e-14 2.491766e-14 1.554396e-14 9.684996e-15 6.027513e-15
## [16,] 1.087294e-13 6.913496e-14 4.390497e-14 2.784923e-14 1.764467e-14
## [17,] 2.898595e-13 1.875551e-13 1.212092e-13 7.823942e-14 5.044483e-14
## [18,] 7.558572e-13 4.975088e-13 3.270597e-13 2.147518e-13 1.408470e-13
## [19,] 1.927986e-12 1.290368e-12 8.625582e-13 5.758997e-13 3.840663e-13
## [20,] 4.810383e-12 3.272405e-12 2.223410e-12 1.508883e-12 1.022804e-12
## [21,] 1.173998e-11 8.114490e-12 5.601707e-12 3.862452e-12 2.660154e-12
## [22,] 2.802636e-11 1.967416e-11 1.379403e-11 9.659829e-12 6.756918e-12
## [23,] 6.544520e-11 4.664145e-11 3.319950e-11 2.360340e-11 1.676171e-11
## [24,] 1.494861e-10 1.081157e-10 7.809832e-11 5.634798e-11 4.060839e-11
## [25,] 3.339916e-10 2.450451e-10 1.795650e-10 1.314259e-10 9.608178e-11
## [26,] 7.299313e-10 5.430553e-10 4.035259e-10 2.994900e-10 2.220210e-10
## [27,] 1.560415e-09 1.176747e-09 8.863208e-10 6.667798e-10 5.010427e-10
## [28,] 3.262949e-09 2.493232e-09 1.902743e-09 1.450378e-09 1.104290e-09
## [29,] 6.674091e-09 5.165152e-09 3.992448e-09 3.082329e-09 2.376947e-09
## [30,] 1.335321e-08 1.046271e-08 8.187816e-09 6.399932e-09 4.996704e-09
## [31,] 2.613311e-08 2.072270e-08 1.641219e-08 1.298287e-08 1.025830e-08
## [32,] 5.002744e-08 4.013183e-08 3.215400e-08 2.573147e-08 2.056814e-08
## [33,] 9.367791e-08 7.599282e-08 6.157056e-08 4.982614e-08 4.027562e-08
## [34,] 1.715844e-07 1.407009e-07 1.152341e-07 9.426462e-08 7.702245e-08
## [35,] 3.074188e-07 2.547193e-07 2.107942e-07 1.742364e-07 1.438534e-07
## [36,] 5.387591e-07 4.508870e-07 3.768826e-07 3.146502e-07 2.623921e-07
## [37,] 9.235718e-07 7.803948e-07 6.586024e-07 5.551570e-07 4.674220e-07
## [38,] 1.548669e-06 1.320693e-06 1.124891e-06 9.569789e-07 8.131961e-07
## [39,] 2.540142e-06 2.185395e-06 1.877877e-06 1.611713e-06 1.381685e-06
## [40,] 4.075392e-06 3.535891e-06 3.064034e-06 2.651989e-06 2.292719e-06
## [41,] 6.395766e-06 5.593821e-06 4.886409e-06 4.263386e-06 3.715526e-06
## [42,] 9.818100e-06 8.652848e-06 7.616508e-06 6.696320e-06 5.880543e-06
## [43,] 1.474260e-05 1.308731e-05 1.160357e-05 1.027582e-05 9.089550e-06
## [44,] 2.165373e-05 1.935452e-05 1.727815e-05 1.540621e-05 1.372130e-05
## [45,] 3.111021e-05 2.798692e-05 2.514622e-05 2.256699e-05 2.022905e-05
## [46,] 4.372048e-05 3.957024e-05 3.576990e-05 3.229612e-05 2.912620e-05
## [47,] 6.010058e-05 5.470450e-05 4.973163e-05 4.515707e-05 4.095621e-05
## [48,] 8.081357e-05 7.394660e-05 6.757987e-05 6.168790e-05 5.624495e-05
## [49,] 1.062923e-04 9.773589e-05 8.975771e-05 8.233282e-05 7.543538e-05
## [50,] 1.367511e-04 1.263080e-04 1.165188e-04 1.073606e-04 9.880851e-05
## [51,] 1.720963e-04 1.596056e-04 1.478393e-04 1.367777e-04 1.263984e-04
## [52,] 2.118480e-04 1.971998e-04 1.833385e-04 1.702490e-04 1.579124e-04
## [53,] 2.550873e-04 2.382349e-04 2.222221e-04 2.070392e-04 1.926721e-04
## [54,] 3.004450e-04 2.814136e-04 2.632634e-04 2.459911e-04 2.295880e-04
## [55,] 3.461410e-04 3.250317e-04 3.048341e-04 2.855518e-04 2.671820e-04
## [56,] 3.900792e-04 3.670684e-04 3.449899e-04 3.238540e-04 3.036638e-04
## [57,] 4.299960e-04 4.053303e-04 3.816093e-04 3.588495e-04 3.370596e-04
## [58,] 4.636473e-04 4.376348e-04 4.125735e-04 3.884850e-04 3.653828e-04
## [59,] 4.890157e-04 4.620144e-04 4.359668e-04 4.108988e-04 3.868274e-04
## [60,] 5.045099e-04 4.769138e-04 4.502724e-04 4.246140e-04 3.999578e-04
## [61,] 5.091296e-04 4.813545e-04 4.545347e-04 4.286990e-04 4.038674e-04
## [62,] 5.025726e-04 4.750409e-04 4.484649e-04 4.228725e-04 3.982825e-04
## [63,] 4.852673e-04 4.583927e-04 4.324737e-04 4.075352e-04 3.835937e-04
## [64,] 4.583266e-04 4.324991e-04 4.076248e-04 3.837245e-04 3.608107e-04
## [65,] 4.234292e-04 3.990005e-04 3.755185e-04 3.529985e-04 3.314478e-04
## [66,] 3.826470e-04 3.599171e-04 3.381208e-04 3.172669e-04 2.973573e-04
## [67,] 3.382421e-04 3.174478e-04 2.975652e-04 2.785965e-04 2.605373e-04
## [68,] 2.924616e-04 2.737681e-04 2.559542e-04 2.390150e-04 2.229404e-04
## [69,] 2.473555e-04 2.308523e-04 2.151850e-04 2.003427e-04 1.863098e-04
## [70,] 2.046380e-04 1.903384e-04 1.768201e-04 1.640667e-04 1.520583e-04
## [71,] 1.656009e-04 1.534473e-04 1.420107e-04 1.312702e-04 1.212028e-04
## [72,] 1.310844e-04 1.209575e-04 1.114757e-04 1.026150e-04 9.435014e-05
## [73,] 1.014965e-04 9.322822e-05 8.552815e-05 7.837080e-05 7.172992e-05
## [74,] 7.687103e-05 7.025910e-05 6.413687e-05 5.847852e-05 5.325813e-05
## [75,] 5.694902e-05 5.177243e-05 4.700848e-05 4.263216e-05 3.861885e-05
## [76,] 4.126877e-05 3.730228e-05 3.367553e-05 3.036526e-05 2.734893e-05
## [77,] 2.925288e-05 2.627924e-05 2.357884e-05 2.113077e-05 1.891513e-05
## [78,] 2.028278e-05 1.810219e-05 1.613616e-05 1.436655e-05 1.277632e-05
## [79,] 1.375619e-05 1.219243e-05 1.079314e-05 9.543079e-06 8.428112e-06
## [80,] 9.126002e-06 8.029530e-06 7.056103e-06 6.193316e-06 5.429783e-06
## [81,] 5.922086e-06 5.170479e-06 4.508707e-06 3.926962e-06 3.416350e-06
## [82,] 3.759073e-06 3.255458e-06 2.815845e-06 2.432703e-06 2.099279e-06
## [83,] 2.333987e-06 2.004169e-06 1.718840e-06 1.472380e-06 1.259811e-06
## [84,] 1.417516e-06 1.206416e-06 1.025491e-06 8.706624e-07 7.383610e-07
## [85,] 8.421109e-07 7.100697e-07 5.979955e-07 5.030120e-07 4.226294e-07
## [86,] 4.893531e-07 4.086443e-07 3.408269e-07 2.839263e-07 2.362536e-07
## [87,] 2.781552e-07 2.299486e-07 1.898626e-07 1.565784e-07 1.289808e-07
## [88,] 1.546550e-07 1.265193e-07 1.033749e-07 8.436390e-08 6.877003e-08
## [89,] 8.411089e-08 6.806496e-08 5.501234e-08 4.440995e-08 3.580974e-08
## [90,] 4.474581e-08 3.580397e-08 2.861377e-08 2.284034e-08 1.821088e-08
## [91,] 2.328436e-08 1.841533e-08 1.454655e-08 1.147688e-08 9.044583e-09
## [92,] 1.185190e-08 9.261229e-09 7.227938e-09 5.634348e-09 4.387063e-09
## [93,] 5.900973e-09 4.554058e-09 3.510255e-09 2.702479e-09 2.078198e-09
## [94,] 2.873895e-09 2.189622e-09 1.666222e-09 1.266426e-09 9.614524e-10
## [95,] 1.369084e-09 1.029392e-09 7.730304e-10 5.798238e-10 4.344066e-10
## [96,] 6.379708e-10 4.731871e-10 3.505340e-10 2.593648e-10 1.916870e-10
## [97,] 2.907926e-10 2.126796e-10 1.553580e-10 1.133508e-10 8.260700e-11
## [98,] 1.296516e-10 9.346729e-11 6.729870e-11 4.839910e-11 3.476712e-11
## [99,] 5.654367e-11 4.016374e-11 2.849375e-11 2.019057e-11 1.429053e-11
## [100,] 2.412137e-11 1.687522e-11 1.179132e-11 8.229219e-12 5.736616e-12
## [,61] [,62] [,63] [,64] [,65]
## [1,] 6.883919e-23 3.193790e-23 1.480216e-23 6.853397e-24 3.170025e-24
## [2,] 2.872620e-22 1.364283e-22 6.472601e-23 3.067718e-23 1.452539e-23
## [3,] 1.170246e-21 5.687067e-22 2.760879e-22 1.338963e-22 6.487327e-23
## [4,] 4.654073e-21 2.313438e-21 1.148764e-21 5.698567e-22 2.824077e-22
## [5,] 1.806949e-20 9.183607e-21 4.662606e-21 2.364865e-21 1.198284e-21
## [6,] 6.848813e-20 3.557578e-20 1.846042e-20 9.569536e-21 4.955827e-21
## [7,] 2.534203e-19 1.344873e-19 7.129664e-20 3.775888e-20 1.997768e-20
## [8,] 9.154284e-19 4.961282e-19 2.686033e-19 1.452751e-19 7.849586e-20
## [9,] 3.228227e-18 1.786044e-18 9.871166e-19 5.450130e-19 3.006223e-19
## [10,] 1.111375e-17 6.274461e-18 3.538672e-18 1.993730e-18 1.122195e-18
## [11,] 3.735199e-17 2.151029e-17 1.237448e-17 7.111638e-18 4.083083e-18
## [12,] 1.225529e-16 7.196179e-17 4.221124e-17 2.473527e-17 1.448041e-17
## [13,] 3.925459e-16 2.349326e-16 1.404573e-16 8.388945e-17 5.005487e-17
## [14,] 1.227479e-15 7.484633e-16 4.559057e-16 2.774226e-16 1.686493e-16
## [15,] 3.747091e-15 2.326931e-15 1.443513e-15 8.945818e-16 5.538541e-16
## [16,] 1.116686e-14 7.059632e-15 4.458420e-15 2.812821e-15 1.772879e-15
## [17,] 3.248815e-14 2.090097e-14 1.343247e-14 8.623981e-15 5.531404e-15
## [18,] 9.227320e-14 6.038606e-14 3.947716e-14 2.578204e-14 1.682149e-14
## [19,] 2.558485e-13 1.702522e-13 1.131750e-13 7.515718e-14 4.986162e-14
## [20,] 6.925433e-13 4.684188e-13 3.164971e-13 2.136326e-13 1.440592e-13
## [21,] 1.830070e-12 1.257656e-12 8.633837e-13 5.921179e-13 4.056845e-13
## [22,] 4.721123e-12 3.295148e-12 2.297485e-12 1.600268e-12 1.113547e-12
## [23,] 1.188994e-11 8.425078e-12 5.963707e-12 4.217168e-12 2.979212e-12
## [24,] 2.923282e-11 2.102126e-11 1.510061e-11 1.083660e-11 7.769033e-12
## [25,] 7.016468e-11 5.118340e-11 3.729819e-11 2.715242e-11 1.974719e-11
## [26,] 1.644081e-10 1.216145e-10 8.986603e-11 6.633887e-11 4.892337e-11
## [27,] 3.760837e-10 2.819859e-10 2.112118e-10 1.580416e-10 1.181409e-10
## [28,] 8.398518e-10 6.380505e-10 4.842343e-10 3.671286e-10 2.780717e-10
## [29,] 1.830954e-09 1.408862e-09 1.082948e-09 8.315894e-10 6.379493e-10
## [30,] 3.896809e-09 3.035763e-09 2.362515e-09 1.836722e-09 1.426554e-09
## [31,] 8.096504e-09 6.383411e-09 5.027547e-09 3.955685e-09 3.109303e-09
## [32,] 1.642263e-08 1.309856e-08 1.043644e-08 8.306989e-09 6.605574e-09
## [33,] 3.251956e-08 2.622890e-08 2.113312e-08 1.701020e-08 1.367826e-08
## [34,] 6.286419e-08 5.125336e-08 4.174356e-08 3.396400e-08 2.760730e-08
## [35,] 1.186366e-07 9.773506e-08 8.043222e-08 6.612596e-08 5.431125e-08
## [36,] 2.185702e-07 1.818713e-07 1.511769e-07 1.255362e-07 1.041426e-07
## [37,] 3.931153e-07 3.302659e-07 2.771760e-07 2.323858e-07 1.946434e-07
## [38,] 6.902487e-07 5.852602e-07 4.957246e-07 4.194634e-07 3.545877e-07
## [39,] 1.183173e-06 1.012092e-06 8.648486e-07 7.382821e-07 6.296228e-07
## [40,] 1.979919e-06 1.707957e-06 1.471819e-06 1.267052e-06 1.089708e-06
## [41,] 3.234471e-06 2.812674e-06 2.443338e-06 2.120362e-06 1.838282e-06
## [42,] 5.158412e-06 4.520097e-06 3.956648e-06 3.459947e-06 3.022646e-06
## [43,] 8.031295e-06 7.088622e-06 6.250088e-06 5.505194e-06 4.844344e-06
## [44,] 1.220708e-05 1.084830e-05 9.630736e-06 8.541214e-06 7.567554e-06
## [45,] 1.811319e-05 1.620120e-05 1.447597e-05 1.292142e-05 1.152255e-05
## [46,] 2.623824e-05 2.361123e-05 2.122514e-05 1.906096e-05 1.710073e-05
## [47,] 3.710489e-05 3.357961e-05 3.035765e-05 2.741719e-05 2.473737e-05
## [48,] 5.122530e-05 4.660350e-05 4.235460e-05 3.845430e-05 3.487908e-05
## [49,] 6.903901e-05 6.311711e-05 5.764315e-05 5.259089e-05 4.793461e-05
## [50,] 9.083671e-05 8.341833e-05 7.652611e-05 7.013261e-05 6.421052e-05
## [51,] 1.166769e-04 1.075874e-04 9.910288e-05 9.119545e-05 8.383704e-05
## [52,] 1.463071e-04 1.354090e-04 1.251923e-04 1.156299e-04 1.066936e-04
## [53,] 1.791028e-04 1.663103e-04 1.542708e-04 1.429588e-04 1.323469e-04
## [54,] 2.140407e-04 1.993318e-04 1.854406e-04 1.723436e-04 1.600153e-04
## [55,] 2.497163e-04 2.331415e-04 2.174405e-04 2.025925e-04 1.885742e-04
## [56,] 2.844162e-04 2.661022e-04 2.487086e-04 2.322177e-04 2.166086e-04
## [57,] 3.162412e-04 2.963898e-04 2.774955e-04 2.595440e-04 2.425169e-04
## [58,] 3.432727e-04 3.221540e-04 3.020201e-04 2.828593e-04 2.646555e-04
## [59,] 3.637617e-04 3.417038e-04 3.206495e-04 3.005894e-04 2.815092e-04
## [60,] 3.763149e-04 3.536891e-04 3.320779e-04 3.114731e-04 2.918616e-04
## [61,] 3.800516e-04 3.572559e-04 3.354781e-04 3.147105e-04 2.949403e-04
## [62,] 3.747059e-04 3.521460e-04 3.306002e-04 3.100600e-04 2.905120e-04
## [63,] 3.606577e-04 3.387287e-04 3.178021e-04 2.978680e-04 2.789117e-04
## [64,] 3.388883e-04 3.179559e-04 2.980061e-04 2.790267e-04 2.610010e-04
## [65,] 3.108671e-04 2.912511e-04 2.725890e-04 2.548657e-04 2.380621e-04
## [66,] 2.783875e-04 2.603479e-04 2.432240e-04 2.269974e-04 2.116466e-04
## [67,] 2.433781e-04 2.271048e-04 2.116991e-04 1.971397e-04 1.834024e-04
## [68,] 2.077160e-04 1.933233e-04 1.797407e-04 1.669441e-04 1.549071e-04
## [69,] 1.730674e-04 1.605935e-04 1.488637e-04 1.378515e-04 1.275294e-04
## [70,] 1.407723e-04 1.301839e-04 1.202668e-04 1.109931e-04 1.023346e-04
## [71,] 1.117831e-04 1.029847e-04 9.478013e-05 8.714134e-05 8.003998e-05
## [72,] 8.665459e-05 7.950119e-05 7.286245e-05 6.671080e-05 6.101889e-05
## [73,] 6.557886e-05 5.989084e-05 5.463928e-05 4.979799e-05 4.534135e-05
## [74,] 4.844990e-05 4.402840e-05 3.996878e-05 3.624693e-05 3.283956e-05
## [75,] 3.494449e-05 3.158575e-05 2.852014e-05 2.572612e-05 2.318318e-05
## [76,] 2.460488e-05 2.211236e-05 1.985167e-05 1.780415e-05 1.595223e-05
## [77,] 1.691300e-05 1.510654e-05 1.347899e-05 1.201467e-05 1.069898e-05
## [78,] 1.134950e-05 1.007118e-05 8.927549e-06 7.905809e-06 6.994171e-06
## [79,] 7.435145e-06 6.552118e-06 5.767956e-06 5.072528e-06 4.456592e-06
## [80,] 4.755094e-06 4.159764e-06 3.635184e-06 3.173558e-06 2.767848e-06
## [81,] 2.968831e-06 2.577161e-06 2.234836e-06 1.936030e-06 1.675538e-06
## [82,] 1.809541e-06 1.558117e-06 1.340231e-06 1.151652e-06 9.886421e-07
## [83,] 1.076734e-06 9.192727e-07 7.840222e-07 6.679971e-07 5.685867e-07
## [84,] 6.254679e-07 5.292665e-07 4.473957e-07 3.778083e-07 3.187330e-07
## [85,] 3.546977e-07 2.973653e-07 2.490405e-07 2.083589e-07 1.741526e-07
## [86,] 1.963670e-07 1.630391e-07 1.352269e-07 1.120460e-07 9.274828e-08
## [87,] 1.061293e-07 8.723266e-08 7.162601e-08 5.875227e-08 4.814536e-08
## [88,] 5.599628e-08 4.554620e-08 3.700780e-08 3.003977e-08 2.435991e-08
## [89,] 2.884294e-08 2.320657e-08 1.865222e-08 1.497656e-08 1.201351e-08
## [90,] 1.450363e-08 1.153867e-08 9.170278e-09 7.280674e-09 5.774795e-09
## [91,] 7.119848e-09 5.598684e-09 4.397939e-09 3.451237e-09 2.705678e-09
## [92,] 3.412097e-09 2.650953e-09 2.057457e-09 1.595224e-09 1.235630e-09
## [93,] 1.596353e-09 1.224909e-09 9.389165e-10 7.189725e-10 5.500136e-10
## [94,] 7.291101e-10 5.523210e-10 4.179631e-10 3.159706e-10 2.386334e-10
## [95,] 3.250978e-10 2.430328e-10 1.814946e-10 1.354019e-10 1.009164e-10
## [96,] 1.415115e-10 1.043576e-10 7.687838e-11 5.657788e-11 4.159728e-11
## [97,] 6.013486e-11 4.372893e-11 3.176578e-11 2.305220e-11 1.671248e-11
## [98,] 2.494696e-11 1.788132e-11 1.280352e-11 9.158444e-12 6.544700e-12
## [99,] 1.010335e-11 7.135360e-12 5.034012e-12 3.547928e-12 2.498108e-12
## [100,] 3.994573e-12 2.778549e-12 1.930695e-12 1.340206e-12 9.294060e-13
## [,66] [,67] [,68] [,69] [,70]
## [1,] 1.464901e-24 6.763240e-25 3.119712e-25 1.437800e-25 6.620905e-26
## [2,] 6.871144e-24 3.247367e-24 1.533369e-24 7.234131e-25 3.410053e-25
## [3,] 3.140159e-23 1.518584e-23 7.337343e-24 3.542119e-24 1.708530e-24
## [4,] 1.398222e-22 6.916349e-23 3.418146e-23 1.687830e-23 8.327252e-24
## [5,] 6.065998e-22 3.067932e-22 1.550251e-22 7.826775e-23 3.948195e-23
## [6,] 2.564071e-21 1.325395e-21 6.844999e-22 3.532042e-22 1.821014e-22
## [7,] 1.055990e-20 5.576678e-21 2.942418e-21 1.551163e-21 8.170444e-22
## [8,] 4.237318e-20 2.285265e-20 1.231389e-20 6.629456e-21 3.566118e-21
## [9,] 1.656625e-19 9.120705e-20 5.017017e-20 2.757319e-20 1.514131e-20
## [10,] 6.310431e-19 3.545283e-19 1.990012e-19 1.116053e-19 6.253874e-20
## [11,] 2.342047e-18 1.342160e-18 7.684679e-19 4.396140e-19 2.512768e-19
## [12,] 8.469036e-18 4.948667e-18 2.889052e-18 1.685182e-18 9.821401e-19
## [13,] 2.983830e-17 1.777063e-17 1.057413e-17 6.286529e-18 3.734326e-18
## [14,] 1.024273e-16 6.215104e-17 3.767853e-17 2.282253e-17 1.381238e-17
## [15,] 3.425780e-16 2.117018e-16 1.307082e-16 8.063160e-17 4.969845e-17
## [16,] 1.116361e-15 7.023144e-16 4.414397e-16 2.772270e-16 1.739541e-16
## [17,] 3.544474e-15 2.269182e-15 1.451442e-15 9.275868e-16 5.923037e-16
## [18,] 1.096480e-14 7.140649e-15 4.646093e-15 3.020385e-15 1.961877e-15
## [19,] 3.304845e-14 2.188451e-14 1.447890e-14 9.571032e-15 6.321453e-15
## [20,] 9.705174e-14 6.532310e-14 4.392818e-14 2.951508e-14 1.981435e-14
## [21,] 2.776881e-13 1.899011e-13 1.297509e-13 8.857637e-14 6.041716e-14
## [22,] 7.741285e-13 5.376737e-13 3.731106e-13 2.586905e-13 1.792085e-13
## [23,] 2.102667e-12 1.482658e-12 1.044538e-12 7.352447e-13 5.171001e-13
## [24,] 5.564547e-12 3.981932e-12 2.846891e-12 2.033630e-12 1.451471e-12
## [25,] 1.434798e-11 1.041543e-11 7.554000e-12 5.473951e-12 3.963326e-12
## [26,] 3.604570e-11 2.653333e-11 1.951385e-11 1.433899e-11 1.052759e-11
## [27,] 8.823034e-11 6.583196e-11 4.907594e-11 3.655315e-11 2.720295e-11
## [28,] 2.104186e-10 1.590789e-10 1.201584e-10 9.068174e-11 6.837867e-11
## [29,] 4.889361e-10 3.743856e-10 2.864173e-10 2.189292e-10 1.672026e-10
## [30,] 1.106934e-09 8.581367e-10 6.646671e-10 5.143706e-10 3.977252e-10
## [31,] 2.441705e-09 1.915687e-09 1.501650e-09 1.176081e-09 9.203245e-10
## [32,] 5.247668e-09 4.165079e-09 3.302883e-09 2.616901e-09 2.071651e-09
## [33,] 1.098857e-08 8.819679e-09 7.072570e-09 5.666645e-09 4.536385e-09
## [34,] 2.241909e-08 1.818918e-08 1.474420e-08 1.194135e-08 9.663198e-09
## [35,] 4.456525e-08 3.653457e-08 2.992435e-08 2.448892e-08 2.002395e-08
## [36,] 8.631305e-08 7.147032e-08 5.912729e-08 4.887362e-08 4.036418e-08
## [37,] 1.628765e-07 1.361690e-07 1.137394e-07 9.492228e-08 7.915172e-08
## [38,] 2.994621e-07 2.526745e-07 2.130070e-07 1.794116e-07 1.509879e-07
## [39,] 5.364476e-07 4.566414e-07 3.883616e-07 3.300058e-07 2.801831e-07
## [40,] 9.362986e-07 8.037482e-07 6.893481e-07 5.907196e-07 5.057773e-07
## [41,] 1.592221e-06 1.377829e-06 1.191244e-06 1.029035e-06 8.881667e-07
## [42,] 2.638116e-06 2.300390e-06 2.004113e-06 1.744485e-06 1.517216e-06
## [43,] 4.258789e-06 3.740576e-06 3.282492e-06 2.878016e-06 2.521262e-06
## [44,] 6.698541e-06 5.923878e-06 5.234135e-06 4.620703e-06 4.075738e-06
## [45,] 1.026540e-05 9.137017e-06 8.125420e-06 7.219573e-06 6.409324e-06
## [46,] 1.532758e-05 1.372567e-05 1.228023e-05 1.097751e-05 9.804739e-06
## [47,] 2.229836e-05 2.008137e-05 1.806870e-05 1.624369e-05 1.459075e-05
## [48,] 3.160632e-05 2.861436e-05 2.588255e-05 2.339130e-05 2.112208e-05
## [49,] 4.364924e-05 3.971049e-05 3.609499e-05 3.278029e-05 2.974498e-05
## [50,] 5.873287e-05 5.367318e-05 4.900569e-05 4.470539e-05 4.074819e-05
## [51,] 7.699942e-05 7.065455e-05 6.477476e-05 5.933292e-05 5.430262e-05
## [52,] 9.835478e-05 9.058446e-05 8.335370e-05 7.663380e-05 7.039647e-05
## [53,] 1.224067e-04 1.131092e-04 1.044248e-04 9.632382e-05 8.877665e-05
## [54,] 1.484283e-04 1.375539e-04 1.273627e-04 1.178245e-04 1.089091e-04
## [55,] 1.753598e-04 1.629216e-04 1.512309e-04 1.402576e-04 1.299714e-04
## [56,] 2.018575e-04 1.879383e-04 1.748230e-04 1.624823e-04 1.508859e-04
## [57,] 2.263923e-04 2.111458e-04 1.967507e-04 1.831784e-04 1.703992e-04
## [58,] 2.473888e-04 2.310364e-04 2.155727e-04 2.009700e-04 1.871992e-04
## [59,] 2.633906e-04 2.462119e-04 2.299487e-04 2.145740e-04 2.000591e-04
## [60,] 2.732261e-04 2.555457e-04 2.387965e-04 2.229521e-04 2.079841e-04
## [61,] 2.761505e-04 2.583204e-04 2.414263e-04 2.254419e-04 2.103390e-04
## [62,] 2.719389e-04 2.543195e-04 2.376298e-04 2.218434e-04 2.069318e-04
## [63,] 2.609147e-04 2.438548e-04 2.277074e-04 2.124454e-04 1.980398e-04
## [64,] 2.439087e-04 2.277266e-04 2.124286e-04 1.979870e-04 1.843721e-04
## [65,] 2.221560e-04 2.071223e-04 1.929339e-04 1.795621e-04 1.669767e-04
## [66,] 1.971471e-04 1.834724e-04 1.705941e-04 1.584826e-04 1.471073e-04
## [67,] 1.704608e-04 1.582870e-04 1.468517e-04 1.361248e-04 1.260754e-04
## [68,] 1.436020e-04 1.329997e-04 1.230705e-04 1.137841e-04 1.051100e-04
## [69,] 1.178686e-04 1.088396e-04 1.004127e-04 9.255811e-05 8.524630e-05
## [70,] 9.426216e-05 8.674683e-05 7.975957e-05 7.327170e-05 6.725503e-05
## [71,] 7.344775e-05 6.733660e-05 6.167893e-05 5.644776e-05 5.161688e-05
## [72,] 5.575981e-05 5.090723e-05 4.643555e-05 4.232003e-05 3.853687e-05
## [73,] 4.124449e-05 3.748336e-05 3.403487e-05 3.087692e-05 2.798845e-05
## [74,] 2.972434e-05 2.687994e-05 2.428607e-05 2.192354e-05 1.977420e-05
## [75,] 2.087182e-05 1.877365e-05 1.687137e-05 1.514872e-05 1.359055e-05
## [76,] 1.427940e-05 1.277027e-05 1.141046e-05 1.018662e-05 9.086413e-06
## [77,] 9.518350e-06 8.460228e-06 7.513035e-06 6.666119e-06 5.909705e-06
## [78,] 6.181800e-06 5.458770e-06 4.816013e-06 4.245264e-06 3.739012e-06
## [79,] 3.911740e-06 3.430349e-06 3.005519e-06 2.631026e-06 2.301260e-06
## [80,] 2.411719e-06 2.099484e-06 1.826044e-06 1.586844e-06 1.377819e-06
## [81,] 1.448723e-06 1.251461e-06 1.080096e-06 9.313908e-07 8.024841e-07
## [82,] 8.479017e-07 7.265293e-07 6.219761e-07 5.320084e-07 4.546722e-07
## [83,] 4.835123e-07 4.107897e-07 3.486940e-07 2.957289e-07 2.505983e-07
## [84,] 2.686404e-07 2.262126e-07 1.903159e-07 1.599771e-07 1.343617e-07
## [85,] 1.454242e-07 1.213234e-07 1.011266e-07 8.421909e-08 7.007945e-08
## [86,] 7.670152e-08 6.337285e-08 5.231371e-08 4.314714e-08 3.555688e-08
## [87,] 3.941604e-08 3.223982e-08 2.634664e-08 2.151207e-08 1.754988e-08
## [88,] 1.973530e-08 1.597397e-08 1.291799e-08 1.043761e-08 8.426409e-09
## [89,] 9.627557e-09 7.708389e-09 6.166292e-09 4.928432e-09 3.935760e-09
## [90,] 4.576045e-09 3.622807e-09 2.865583e-09 2.264671e-09 1.788267e-09
## [91,] 2.119172e-09 1.658279e-09 1.296468e-09 1.012722e-09 7.904128e-10
## [92,] 9.561894e-10 7.392658e-10 5.710449e-10 4.407214e-10 3.398546e-10
## [93,] 4.203619e-10 3.209774e-10 2.448716e-10 1.866495e-10 1.421511e-10
## [94,] 1.800547e-10 1.357310e-10 1.022272e-10 7.692688e-11 5.783955e-11
## [95,] 7.514280e-11 5.590031e-11 4.154838e-11 3.085447e-11 2.289377e-11
## [96,] 3.055428e-11 2.242231e-11 1.643999e-11 1.204334e-11 8.815105e-12
## [97,] 1.210482e-11 8.759454e-12 6.332987e-12 4.574719e-12 3.301835e-12
## [98,] 4.672470e-12 3.332764e-12 2.375065e-12 1.691105e-12 1.203098e-12
## [99,] 1.757262e-12 1.234988e-12 8.671657e-13 6.083670e-13 4.264463e-13
## [100,] 6.439142e-13 4.457093e-13 3.082396e-13 2.129852e-13 1.470434e-13
## [,71] [,72] [,73] [,74] [,75]
## [1,] 3.046364e-26 1.400559e-26 6.434076e-27 2.953554e-27 1.354834e-27
## [2,] 1.606132e-25 7.558867e-26 3.554652e-26 1.670365e-26 7.843474e-27
## [3,] 8.234313e-25 3.965405e-25 1.908151e-25 9.175118e-26 4.408526e-26
## [4,] 4.105067e-24 2.022061e-24 9.952517e-25 4.894921e-25 2.405698e-25
## [5,] 1.990031e-23 1.002251e-23 5.043801e-24 2.536374e-24 1.274534e-24
## [6,] 9.380937e-23 4.828747e-23 2.483634e-23 1.276482e-23 6.555784e-24
## [7,] 4.300107e-22 2.261352e-22 1.188289e-22 6.239501e-23 3.273862e-23
## [8,] 1.916722e-21 1.029385e-21 5.524096e-22 2.962230e-22 1.587300e-22
## [9,] 8.307791e-21 4.554733e-21 2.495198e-21 1.365907e-21 7.471713e-22
## [10,] 3.501538e-20 1.958952e-20 1.095100e-20 6.117268e-21 3.414634e-21
## [11,] 1.435089e-19 8.189557e-20 4.669894e-20 2.660894e-20 1.515063e-20
## [12,] 5.719334e-19 3.327919e-19 1.934929e-19 1.124168e-19 6.526497e-20
## [13,] 2.216455e-18 1.314501e-18 7.789826e-19 4.612842e-19 2.729557e-19
## [14,] 8.352548e-18 5.046899e-18 3.047160e-18 1.838399e-18 1.108325e-18
## [15,] 3.060736e-17 1.883494e-17 1.158157e-17 7.116141e-18 4.369226e-18
## [16,] 1.090635e-16 6.832496e-17 4.277049e-17 2.675365e-17 1.672263e-17
## [17,] 3.779025e-16 2.409186e-16 1.534708e-16 9.769119e-17 6.213948e-17
## [18,] 1.273288e-15 8.257281e-16 5.350720e-16 3.464666e-16 2.241781e-16
## [19,] 4.171771e-15 2.750929e-15 1.812605e-15 1.193441e-15 7.852024e-16
## [20,] 1.329110e-14 8.908356e-15 5.966217e-15 3.992772e-15 2.670131e-15
## [21,] 4.117638e-14 2.804087e-14 1.908093e-14 1.297423e-14 8.815489e-15
## [22,] 1.240458e-13 8.579480e-14 5.929318e-14 4.094703e-14 2.825679e-14
## [23,] 3.633815e-13 2.551563e-13 1.790254e-13 1.255154e-13 8.793506e-14
## [24,] 1.035119e-12 7.376108e-13 5.252055e-13 3.736846e-13 2.656831e-13
## [25,] 2.867241e-12 2.072641e-12 1.497092e-12 1.080556e-12 7.793429e-13
## [26,] 7.722983e-12 5.661043e-12 4.146414e-12 3.034750e-12 2.219504e-12
## [27,] 2.022798e-11 1.502950e-11 1.115839e-11 8.278131e-12 6.136855e-12
## [28,] 5.151894e-11 3.878542e-11 2.917662e-11 2.193186e-11 1.647398e-11
## [29,] 1.275933e-10 9.728998e-11 7.412645e-11 5.643549e-11 4.293526e-11
## [30,] 3.072809e-10 2.372157e-10 1.829853e-10 1.410467e-10 1.086406e-10
## [31,] 7.195982e-10 5.622047e-10 4.388982e-10 3.423790e-10 2.668905e-10
## [32,] 1.638669e-09 1.295154e-09 1.022860e-09 8.072073e-10 6.365561e-10
## [33,] 3.628600e-09 2.900172e-09 2.316185e-09 1.848403e-09 1.474019e-09
## [34,] 7.813287e-09 6.312509e-09 5.096067e-09 4.110950e-09 3.313843e-09
## [35,] 1.635969e-08 1.335537e-08 1.089436e-08 8.880170e-09 7.233087e-09
## [36,] 3.330912e-08 2.746538e-08 2.262939e-08 1.863091e-08 1.532774e-08
## [37,] 6.594745e-08 5.490235e-08 4.567187e-08 3.796476e-08 3.153518e-08
## [38,] 1.269637e-07 1.066773e-07 8.956318e-08 7.513823e-08 6.299051e-08
## [39,] 2.376883e-07 2.014786e-07 1.706534e-07 1.444358e-07 1.221568e-07
## [40,] 4.326958e-07 3.698805e-07 3.159403e-07 2.696638e-07 2.299974e-07
## [41,] 7.659570e-07 6.600392e-07 5.683291e-07 4.889945e-07 4.204273e-07
## [42,] 1.318478e-06 1.144863e-06 9.933434e-07 8.612300e-07 7.461422e-07
## [43,] 2.206927e-06 1.930249e-06 1.686956e-06 1.473221e-06 1.285627e-06
## [44,] 3.592112e-06 3.163362e-06 2.783638e-06 2.447657e-06 2.150657e-06
## [45,] 5.685366e-06 5.039181e-06 4.462995e-06 3.949724e-06 3.492930e-06
## [46,] 8.750115e-06 7.802735e-06 6.952561e-06 6.190372e-06 5.507715e-06
## [47,] 1.309531e-05 1.174382e-05 1.052369e-05 9.423244e-06 8.431710e-06
## [48,] 1.905744e-05 1.718097e-05 1.547732e-05 1.393214e-05 1.253206e-05
## [49,] 2.696870e-05 2.443216e-05 2.211711e-05 2.000640e-05 1.808391e-05
## [50,] 3.711097e-05 3.377159e-05 3.070900e-05 2.790319e-05 2.533522e-05
## [51,] 4.965823e-05 4.537504e-05 4.142931e-05 3.779831e-05 3.446036e-05
## [52,] 6.461404e-05 5.925953e-05 5.430683e-05 4.973071e-05 4.550693e-05
## [53,] 8.175405e-05 7.522724e-05 6.916810e-05 6.354927e-05 5.834425e-05
## [54,] 1.005862e-04 9.282560e-05 8.559769e-05 7.887335e-05 7.262418e-05
## [55,] 1.203412e-04 1.113361e-04 1.029255e-04 9.507880e-05 8.776618e-05
## [56,] 1.400028e-04 1.298017e-04 1.202510e-04 1.113194e-04 1.029760e-04
## [57,] 1.583821e-04 1.470957e-04 1.365082e-04 1.265877e-04 1.173025e-04
## [58,] 1.742297e-04 1.620300e-04 1.505684e-04 1.398126e-04 1.297302e-04
## [59,] 1.863738e-04 1.734869e-04 1.613666e-04 1.499804e-04 1.392958e-04
## [60,] 1.938627e-04 1.805568e-04 1.680344e-04 1.562631e-04 1.452103e-04
## [61,] 1.960878e-04 1.826571e-04 1.700150e-04 1.581292e-04 1.469670e-04
## [62,] 1.928650e-04 1.796118e-04 1.671403e-04 1.554181e-04 1.444124e-04
## [63,] 1.844603e-04 1.716758e-04 1.596540e-04 1.483627e-04 1.377692e-04
## [64,] 1.715534e-04 1.594993e-04 1.481778e-04 1.375566e-04 1.276035e-04
## [65,] 1.551467e-04 1.440404e-04 1.336261e-04 1.238717e-04 1.147455e-04
## [66,] 1.364370e-04 1.264404e-04 1.170857e-04 1.083419e-04 1.001778e-04
## [67,] 1.166726e-04 1.078854e-04 9.968309e-05 9.203526e-05 8.491213e-05
## [68,] 9.701794e-05 8.947783e-05 8.246007e-05 7.593569e-05 6.987647e-05
## [69,] 7.844803e-05 7.213465e-05 6.627819e-05 6.085151e-05 5.582835e-05
## [70,] 6.168204e-05 5.652598e-05 5.176096e-05 4.736205e-05 4.330533e-05
## [71,] 4.716091e-05 4.305544e-05 3.927703e-05 3.580332e-05 3.261300e-05
## [72,] 3.506326e-05 3.187745e-05 2.895875e-05 2.628753e-05 2.384530e-05
## [73,] 2.534949e-05 2.294114e-05 2.074558e-05 1.874606e-05 1.692690e-05
## [74,] 1.782103e-05 1.604804e-05 1.444029e-05 1.298387e-05 1.166581e-05
## [75,] 1.218269e-05 1.091201e-05 9.766328e-06 8.734374e-06 7.805757e-06
## [76,] 8.098419e-06 7.212126e-06 6.417875e-06 5.706807e-06 5.070816e-06
## [77,] 5.234847e-06 4.633376e-06 4.097849e-06 3.621498e-06 3.198184e-06
## [78,] 3.290444e-06 2.893393e-06 2.542291e-06 2.232118e-06 1.958356e-06
## [79,] 2.011184e-06 1.756278e-06 1.532496e-06 1.336225e-06 1.164240e-06
## [80,] 1.195352e-06 1.036226e-06 8.975905e-07 7.769194e-07 6.719800e-07
## [81,] 6.908541e-07 5.942807e-07 5.108128e-07 4.387387e-07 3.765588e-07
## [82,] 3.882610e-07 3.312871e-07 2.824555e-07 2.406410e-07 2.048669e-07
## [83,] 2.121817e-07 1.795118e-07 1.517550e-07 1.281938e-07 1.082116e-07
## [84,] 1.127558e-07 9.454908e-08 7.922107e-08 6.632819e-08 5.549301e-08
## [85,] 5.826615e-08 4.840579e-08 4.018307e-08 3.333212e-08 2.762902e-08
## [86,] 2.927795e-08 2.408868e-08 1.980388e-08 1.626902e-08 1.335536e-08
## [87,] 1.430578e-08 1.165211e-08 9.483357e-09 7.712475e-09 6.267699e-09
## [88,] 6.797190e-09 5.478625e-09 4.412439e-09 3.551074e-09 2.855772e-09
## [89,] 3.140464e-09 2.503886e-09 1.994803e-09 1.588033e-09 1.263286e-09
## [90,] 1.410929e-09 1.112329e-09 8.762458e-10 6.897518e-10 5.425533e-10
## [91,] 6.164005e-10 4.803164e-10 3.739872e-10 2.909779e-10 2.262278e-10
## [92,] 2.618591e-10 2.016032e-10 1.550930e-10 1.192232e-10 9.158243e-11
## [93,] 1.081730e-10 8.225138e-11 6.249313e-11 4.744553e-11 3.599491e-11
## [94,] 4.345273e-11 3.261855e-11 2.446680e-11 1.833849e-11 1.373513e-11
## [95,] 1.697313e-11 1.257367e-11 9.307365e-12 6.884391e-12 5.088469e-12
## [96,] 6.446938e-12 4.711236e-12 3.440179e-12 2.510159e-12 1.830224e-12
## [97,] 2.381177e-12 1.715866e-12 1.235492e-12 8.889363e-13 6.391223e-13
## [98,] 8.552178e-13 6.074462e-13 4.311256e-13 3.057551e-13 2.166838e-13
## [99,] 2.986816e-13 2.090297e-13 1.461747e-13 1.021435e-13 7.132334e-14
## [100,] 1.014348e-13 6.991716e-14 4.815545e-14 3.314219e-14 2.279290e-14
## [,76] [,77] [,78] [,79] [,80]
## [1,] 6.210388e-28 2.844792e-28 1.302234e-28 5.957202e-29 2.723436e-29
## [2,] 3.680414e-27 1.725775e-27 8.086834e-28 3.786931e-28 1.772221e-28
## [3,] 2.116734e-26 1.015637e-26 4.869873e-27 2.333518e-27 1.117446e-27
## [4,] 1.181484e-25 5.798472e-26 2.843848e-26 1.393842e-26 6.827198e-27
## [5,] 6.400013e-25 3.211511e-25 1.610441e-25 8.070395e-26 4.041722e-26
## [6,] 3.364539e-24 1.725543e-24 8.843680e-25 4.529546e-25 2.318451e-25
## [7,] 1.716572e-23 8.994210e-24 4.709458e-24 2.464298e-24 1.288657e-24
## [8,] 8.499440e-23 4.548005e-23 2.431971e-23 1.299602e-23 6.940394e-24
## [9,] 4.084230e-22 2.231000e-22 1.217855e-22 6.643645e-23 3.621919e-23
## [10,] 1.904679e-21 1.061693e-21 5.914019e-22 3.292161e-22 1.831475e-22
## [11,] 8.620356e-21 4.901385e-21 2.784963e-21 1.581373e-21 8.973691e-22
## [12,] 3.786345e-20 2.195126e-20 1.271762e-20 7.363198e-21 4.260385e-21
## [13,] 1.614013e-19 9.537201e-20 5.631730e-20 3.323359e-20 1.959902e-20
## [14,] 6.677062e-19 4.019787e-19 2.418397e-19 1.454008e-19 8.736296e-20
## [15,] 2.680745e-18 1.643637e-18 1.007078e-18 6.166444e-19 3.773359e-19
## [16,] 1.044522e-17 6.519726e-18 4.066758e-18 2.535022e-18 1.579198e-18
## [17,] 3.949763e-17 2.508844e-17 1.592514e-17 1.010200e-17 6.404022e-18
## [18,] 1.449494e-16 9.365663e-17 6.047387e-17 3.902217e-17 2.516383e-17
## [19,] 5.162419e-16 3.391753e-16 2.226907e-16 1.461148e-16 9.580943e-17
## [20,] 1.784358e-15 1.191600e-15 7.952176e-16 5.303419e-16 3.534659e-16
## [21,] 5.985527e-15 4.061229e-15 2.753719e-15 1.865934e-15 1.263556e-15
## [22,] 1.948563e-14 1.342781e-14 9.247047e-15 6.363782e-15 4.376724e-15
## [23,] 6.156279e-14 4.306989e-14 3.011176e-14 2.103841e-14 1.468965e-14
## [24,] 1.887617e-13 1.340179e-13 9.508651e-14 6.742010e-14 4.777289e-14
## [25,] 5.616956e-13 4.045505e-13 2.911732e-13 2.094327e-13 1.505426e-13
## [26,] 1.622109e-12 1.184686e-12 8.646365e-13 6.306354e-13 4.596685e-13
## [27,] 4.546222e-12 3.365538e-12 2.489806e-12 1.840733e-12 1.359997e-12
## [28,] 1.236554e-11 9.275269e-12 6.952597e-12 5.208133e-12 3.898869e-12
## [29,] 3.264127e-11 2.479814e-11 1.882688e-11 1.428407e-11 1.083047e-11
## [30,] 8.362051e-11 6.431801e-11 4.943782e-11 3.797524e-11 2.915166e-11
## [31,] 2.078980e-10 1.618328e-10 1.258896e-10 9.786509e-11 7.603039e-11
## [32,] 5.016253e-10 3.950221e-10 3.108640e-10 2.444746e-10 1.921405e-10
## [33,] 1.174628e-09 9.353990e-10 7.443899e-10 5.919956e-10 4.704983e-10
## [34,] 2.669396e-09 2.148786e-09 1.728543e-09 1.389575e-09 1.116362e-09
## [35,] 5.887315e-09 4.788616e-09 3.892331e-09 3.161724e-09 2.566609e-09
## [36,] 1.260124e-08 1.035256e-08 8.499413e-09 6.973402e-09 5.717710e-09
## [37,] 2.617586e-08 2.171230e-08 1.799773e-08 1.490885e-08 1.234219e-08
## [38,] 5.276919e-08 4.417585e-08 3.695697e-08 3.089743e-08 2.581487e-08
## [39,] 1.032408e-07 8.719360e-08 7.359100e-08 6.206964e-08 5.231851e-08
## [40,] 1.960263e-07 1.669572e-07 1.421028e-07 1.208690e-07 1.027421e-07
## [41,] 3.612176e-07 3.101317e-07 2.660911e-07 2.281545e-07 1.955011e-07
## [42,] 6.459742e-07 5.588664e-07 4.831787e-07 4.174668e-07 3.604606e-07
## [43,] 1.121123e-06 9.769908e-07 8.508144e-07 7.404464e-07 6.439825e-07
## [44,] 1.888351e-06 1.656890e-06 1.452819e-06 1.273046e-06 1.114803e-06
## [45,] 3.086769e-06 2.725949e-06 2.405681e-06 2.121646e-06 1.869948e-06
## [46,] 4.896855e-06 4.350732e-06 3.862907e-06 3.427526e-06 3.039267e-06
## [47,] 7.539144e-06 6.736396e-06 6.015063e-06 5.367440e-06 4.786476e-06
## [48,] 1.126467e-05 1.011844e-05 9.082717e-06 8.147650e-06 7.304164e-06
## [49,] 1.633453e-05 1.474417e-05 1.329968e-05 1.198881e-05 1.080023e-05
## [50,] 2.298723e-05 2.084241e-05 1.888496e-05 1.710010e-05 1.547401e-05
## [51,] 3.139484e-05 2.858222e-05 2.600404e-05 2.364286e-05 2.148230e-05
## [52,] 4.161229e-05 3.802462e-05 3.472283e-05 3.168691e-05 2.889789e-05
## [53,] 5.352746e-05 4.907434e-05 4.496134e-05 4.116598e-05 3.766685e-05
## [54,] 6.682260e-05 6.144191e-05 5.645638e-05 5.184129e-05 4.757296e-05
## [55,] 8.095839e-05 7.462695e-05 6.874427e-05 6.328369e-05 5.821953e-05
## [56,] 9.519015e-05 8.793208e-05 8.117265e-05 7.488357e-05 6.903748e-05
## [57,] 1.086210e-04 1.005124e-04 9.294641e-05 8.589343e-05 7.932478e-05
## [58,] 1.202894e-04 1.114584e-04 1.032061e-04 9.550191e-05 8.831623e-05
## [59,] 1.292804e-04 1.199021e-04 1.111290e-04 1.029302e-04 9.527519e-05
## [60,] 1.348434e-04 1.251299e-04 1.160378e-04 1.075356e-04 9.959254e-05
## [61,] 1.364955e-04 1.266824e-04 1.174955e-04 1.089032e-04 1.008745e-04
## [62,] 1.340907e-04 1.244206e-04 1.153699e-04 1.069073e-04 9.900199e-05
## [63,] 1.278412e-04 1.185465e-04 1.098534e-04 1.017309e-04 9.414863e-05
## [64,] 1.182864e-04 1.095736e-04 1.014342e-04 9.383769e-05 8.675445e-05
## [65,] 1.062161e-04 9.825262e-05 9.082491e-05 8.390354e-05 7.745996e-05
## [66,] 9.256301e-05 8.546786e-05 7.886334e-05 7.272136e-05 6.701475e-05
## [67,] 7.828461e-05 7.212441e-05 6.640413e-05 6.109735e-05 5.617865e-05
## [68,] 6.425502e-05 5.904490e-05 5.422065e-05 4.975783e-05 4.563308e-05
## [69,] 5.118343e-05 4.689248e-05 4.293228e-05 3.928070e-05 3.591667e-05
## [70,] 3.956794e-05 3.612807e-05 3.296499e-05 3.005908e-05 2.739176e-05
## [71,] 2.968583e-05 2.700269e-05 2.454549e-05 2.229723e-05 2.024192e-05
## [72,] 2.161457e-05 1.957897e-05 1.772312e-05 1.603263e-05 1.449409e-05
## [73,] 1.527341e-05 1.377189e-05 1.240961e-05 1.117474e-05 1.005629e-05
## [74,] 1.047410e-05 9.397620e-06 8.426088e-06 7.550027e-06 6.760716e-06
## [75,] 6.970908e-06 6.221039e-06 5.548090e-06 4.944683e-06 4.404079e-06
## [76,] 4.502499e-06 3.995109e-06 3.542507e-06 3.139114e-06 2.779875e-06
## [77,] 2.822342e-06 2.488944e-06 2.193449e-06 1.931766e-06 1.700212e-06
## [78,] 1.716949e-06 1.504258e-06 1.317026e-06 1.152340e-06 1.007601e-06
## [79,] 1.013671e-06 8.819626e-07 7.668501e-07 6.663237e-07 5.786043e-07
## [80,] 5.808018e-07 5.016476e-07 4.329886e-07 3.734812e-07 3.219456e-07
## [81,] 3.229615e-07 2.768012e-07 2.370785e-07 2.029228e-07 1.735766e-07
## [82,] 1.742871e-07 1.481692e-07 1.258803e-07 1.068739e-07 9.067914e-08
## [83,] 9.127915e-08 7.694292e-08 6.481458e-08 5.456212e-08 4.590197e-08
## [84,] 4.639483e-08 3.876145e-08 3.236216e-08 2.700160e-08 2.251454e-08
## [85,] 2.288544e-08 1.894315e-08 1.566939e-08 1.295288e-08 1.070046e-08
## [86,] 1.095571e-08 8.981005e-09 7.357262e-09 6.023127e-09 4.927758e-09
## [87,] 5.089952e-09 4.130650e-09 3.349887e-09 2.714915e-09 2.198893e-09
## [88,] 2.294978e-09 1.843031e-09 1.479087e-09 1.186231e-09 9.507504e-10
## [89,] 1.004234e-09 7.977513e-10 6.332964e-10 5.024132e-10 3.983241e-10
## [90,] 4.264648e-10 3.349833e-10 2.629481e-10 2.062678e-10 1.617016e-10
## [91,] 1.757612e-10 1.364581e-10 1.058724e-10 8.208816e-11 6.360627e-11
## [92,] 7.029990e-11 5.392578e-11 4.133759e-11 3.166710e-11 2.424338e-11
## [93,] 2.728840e-11 2.067351e-11 1.565155e-11 1.184172e-11 8.953525e-12
## [94,] 1.028000e-11 7.688694e-12 5.746708e-12 4.292399e-12 3.204075e-12
## [95,] 3.758372e-12 2.774034e-12 2.046118e-12 1.508217e-12 1.111012e-12
## [96,] 1.333516e-12 9.709381e-13 7.064669e-13 5.136964e-13 3.732870e-13
## [97,] 4.591858e-13 3.296796e-13 2.365390e-13 1.696008e-13 1.215275e-13
## [98,] 1.534512e-13 1.085959e-13 7.680037e-14 5.427850e-14 3.833663e-14
## [99,] 4.976727e-14 3.470206e-14 2.418097e-14 1.683862e-14 1.171820e-14
## [100,] 1.566423e-14 1.075766e-14 7.383013e-15 5.063652e-15 3.470689e-15
## [,81] [,82] [,83] [,84] [,85]
## [1,] 1.244287e-29 5.681447e-30 2.592621e-30 1.182407e-30 5.389504e-31
## [2,] 8.288518e-29 3.874103e-29 1.809702e-29 8.448715e-30 3.942105e-30
## [3,] 5.347738e-28 2.557697e-28 1.222558e-28 5.840338e-29 2.788432e-29
## [4,] 3.341950e-27 1.634905e-27 7.993314e-28 3.905790e-28 1.907413e-28
## [5,] 2.022863e-26 1.011817e-26 5.058000e-27 2.526990e-27 1.261776e-27
## [6,] 1.185959e-25 6.062849e-26 3.097601e-26 1.581692e-26 8.071832e-27
## [7,] 6.734567e-25 3.517365e-25 1.835975e-25 9.577759e-26 4.993612e-26
## [8,] 3.704131e-24 1.975712e-24 1.053180e-24 5.610862e-25 2.987516e-25
## [9,] 1.973330e-23 1.074474e-23 5.847004e-24 3.179940e-24 1.728456e-24
## [10,] 1.018239e-22 5.657615e-23 3.141657e-23 1.743540e-23 9.670723e-24
## [11,] 5.089046e-22 2.884276e-22 1.633724e-22 9.248444e-23 5.232537e-23
## [12,] 2.463541e-21 1.423659e-21 8.222304e-22 4.746015e-22 2.737905e-22
## [13,] 1.155101e-20 6.803628e-21 4.005004e-21 2.356205e-21 1.385406e-21
## [14,] 5.245859e-20 3.148046e-20 1.888022e-20 1.131673e-20 6.779358e-21
## [15,] 2.307544e-19 1.410286e-19 8.614019e-20 5.258385e-20 3.208135e-20
## [16,] 9.831509e-19 6.117006e-19 3.803639e-19 2.363782e-19 1.468147e-19
## [17,] 4.057206e-18 2.568836e-18 1.625502e-18 1.027984e-18 6.497389e-19
## [18,] 1.621700e-17 1.044479e-17 6.723111e-18 4.325026e-18 2.780744e-18
## [19,] 6.278426e-17 4.111767e-17 2.691211e-17 1.760414e-17 1.150895e-17
## [20,] 2.354332e-16 1.567195e-16 1.042605e-16 6.932099e-17 4.606418e-17
## [21,] 8.551086e-16 5.783400e-16 3.909191e-16 2.640817e-16 1.782968e-16
## [22,] 3.008234e-15 2.066375e-15 1.418562e-15 9.732748e-16 6.673848e-16
## [23,] 1.025035e-14 7.148267e-15 4.982011e-15 3.470215e-15 2.415805e-15
## [24,] 3.383002e-14 2.394187e-14 1.693384e-14 1.197019e-14 8.456682e-15
## [25,] 1.081440e-13 7.763920e-14 5.570590e-14 3.994562e-14 2.862799e-14
## [26,] 3.348418e-13 2.437641e-13 1.773542e-13 1.289618e-13 9.372045e-14
## [27,] 1.004184e-12 7.410100e-13 5.464827e-13 4.027881e-13 2.967089e-13
## [28,] 2.916915e-12 2.180942e-12 1.629694e-12 1.217071e-12 9.084049e-13
## [29,] 8.206744e-12 6.214839e-12 4.703601e-12 3.557778e-12 2.689559e-12
## [30,] 2.236427e-11 1.714673e-11 1.313861e-11 1.006156e-11 7.700790e-12
## [31,] 5.903033e-11 4.580347e-11 3.551920e-11 2.752807e-11 2.132270e-11
## [32,] 1.509150e-10 1.184626e-10 9.293335e-11 7.286346e-11 5.709549e-11
## [33,] 3.737027e-10 2.966400e-10 2.353286e-10 1.865810e-10 1.478475e-10
## [34,] 8.963071e-10 7.191903e-10 5.767298e-10 4.622201e-10 3.702363e-10
## [35,] 2.082208e-09 1.688199e-09 1.367933e-09 1.107781e-09 8.965957e-10
## [36,] 4.685199e-09 3.836800e-09 3.140161e-09 2.568518e-09 2.099747e-09
## [37,] 1.021101e-08 8.442682e-09 6.976439e-09 5.761492e-09 4.755431e-09
## [38,] 2.155490e-08 1.798694e-08 1.500066e-08 1.250291e-08 1.041515e-08
## [39,] 4.407172e-08 3.710222e-08 3.121630e-08 2.624888e-08 2.205941e-08
## [40,] 8.727920e-08 7.409829e-08 6.287056e-08 5.331313e-08 4.518298e-08
## [41,] 1.674165e-07 1.432789e-07 1.225485e-07 1.047566e-07 8.949702e-08
## [42,] 3.110443e-07 2.682389e-07 2.311868e-07 1.991371e-07 1.714332e-07
## [43,] 5.597357e-07 4.862137e-07 4.220977e-07 3.662238e-07 3.175660e-07
## [44,] 9.756195e-07 8.532930e-07 7.458604e-07 6.515755e-07 5.688866e-07
## [45,] 1.647080e-06 1.449890e-06 1.275548e-06 1.121519e-06 9.855305e-07
## [46,] 2.693305e-06 2.385269e-06 2.111207e-06 1.867549e-06 1.651076e-06
## [47,] 4.265727e-06 3.799316e-06 3.381890e-06 3.008578e-06 2.674957e-06
## [48,] 6.543909e-06 5.859212e-06 5.243035e-06 4.688934e-06 4.191016e-06
## [49,] 9.723400e-06 8.748602e-06 7.866848e-06 7.069858e-06 6.350009e-06
## [50,] 1.399380e-05 1.264747e-05 1.142387e-05 1.031266e-05 9.304266e-06
## [51,] 1.950698e-05 1.770250e-05 1.605539e-05 1.455308e-05 1.318386e-05
## [52,] 2.633790e-05 2.399005e-05 2.183850e-05 1.986838e-05 1.806574e-05
## [53,] 3.444362e-05 3.147700e-05 2.874879e-05 2.624180e-05 2.393985e-05
## [54,] 4.362879e-05 3.998722e-05 3.662782e-05 3.353116e-05 3.067891e-05
## [55,] 5.352716e-05 4.918298e-05 4.516449e-05 4.145026e-05 3.801991e-05
## [56,] 6.360803e-05 5.856985e-05 5.389865e-05 4.957121e-05 4.556537e-05
## [57,] 7.321269e-05 6.753036e-05 6.225201e-05 5.735292e-05 5.280943e-05
## [58,] 8.162017e-05 7.538583e-05 6.958627e-05 6.419559e-05 5.918895e-05
## [59,] 8.813437e-05 8.147906e-05 7.528152e-05 6.951500e-05 6.415381e-05
## [60,] 9.217854e-05 8.526446e-05 7.882208e-05 7.282417e-05 6.724454e-05
## [61,] 9.337939e-05 8.638846e-05 7.987339e-05 7.380678e-05 6.816230e-05
## [62,] 9.162393e-05 8.474404e-05 7.833412e-05 7.236701e-05 6.681656e-05
## [63,] 8.707701e-05 8.048746e-05 7.435232e-05 6.864497e-05 6.333979e-05
## [64,] 8.015577e-05 7.401385e-05 6.830190e-05 6.299418e-05 5.806600e-05
## [65,] 7.146654e-05 6.589666e-05 6.072475e-05 5.592627e-05 5.147778e-05
## [66,] 6.171737e-05 5.680408e-05 5.225085e-05 4.803469e-05 4.413370e-05
## [67,] 5.162365e-05 4.740906e-05 4.351266e-05 3.991331e-05 3.659095e-05
## [68,] 4.182411e-05 3.830971e-05 3.506975e-05 3.208516e-05 2.933794e-05
## [69,] 3.282022e-05 2.997244e-05 2.735548e-05 2.495252e-05 2.274774e-05
## [70,] 2.494554e-05 2.270393e-05 2.065146e-05 1.877363e-05 1.705688e-05
## [71,] 1.836458e-05 1.665120e-05 1.508870e-05 1.366488e-05 1.236840e-05
## [72,] 1.309501e-05 1.182376e-05 1.066958e-05 9.622477e-06 8.673215e-06
## [73,] 9.044140e-06 8.128899e-06 7.301933e-06 6.555287e-06 5.881653e-06
## [74,] 6.050140e-06 5.410948e-06 4.836408e-06 4.320363e-06 3.857193e-06
## [75,] 3.920128e-06 3.487231e-06 3.100292e-06 2.754688e-06 2.446223e-06
## [76,] 2.460208e-06 2.175974e-06 1.923433e-06 1.699215e-06 1.500284e-06
## [77,] 1.495478e-06 1.314596e-06 1.154905e-06 1.014023e-06 8.898227e-07
## [78,] 8.804912e-07 7.689476e-07 6.711353e-07 5.854249e-07 5.103712e-07
## [79,] 5.021190e-07 4.354786e-07 3.774579e-07 3.269777e-07 2.830881e-07
## [80,] 2.773479e-07 2.387825e-07 2.054574e-07 1.766806e-07 1.518482e-07
## [81,] 1.483816e-07 1.267663e-07 1.082355e-07 9.235982e-08 7.876809e-08
## [82,] 7.689031e-08 6.515850e-08 5.518387e-08 4.670905e-08 3.951334e-08
## [83,] 3.859224e-08 3.242678e-08 2.723011e-08 2.285297e-08 1.916857e-08
## [84,] 1.876139e-08 1.562437e-08 1.300413e-08 1.081703e-08 8.992668e-09
## [85,] 8.834192e-09 7.288977e-09 6.010463e-09 4.953328e-09 4.079811e-09
## [86,] 4.029074e-09 3.292277e-09 2.688619e-09 2.194370e-09 1.789963e-09
## [87,] 1.779838e-09 1.439766e-09 1.163979e-09 9.404726e-10 7.594530e-10
## [88,] 7.615392e-10 6.096116e-10 4.877034e-10 3.899475e-10 3.116093e-10
## [89,] 3.156028e-10 2.499080e-10 1.977703e-10 1.564192e-10 1.236438e-10
## [90,] 1.266852e-10 9.919111e-11 7.761777e-11 6.070121e-11 4.744466e-11
## [91,] 4.925473e-11 3.811808e-11 2.948193e-11 2.278917e-11 1.760576e-11
## [92,] 1.854840e-11 1.418257e-11 1.083790e-11 8.277195e-12 6.317933e-12
## [93,] 6.765529e-12 5.109104e-12 3.855931e-12 2.908450e-12 2.192542e-12
## [94,] 2.390197e-12 1.781969e-12 1.327725e-12 9.886983e-13 7.358230e-13
## [95,] 8.179041e-13 6.017570e-13 4.424676e-13 3.251544e-13 2.388095e-13
## [96,] 2.710864e-13 1.967469e-13 1.427084e-13 1.034521e-13 7.495186e-14
## [97,] 8.702616e-14 6.228167e-14 4.454637e-14 3.184288e-14 2.274919e-14
## [98,] 2.706005e-14 1.908879e-14 1.345767e-14 9.482200e-15 6.677320e-15
## [99,] 8.149744e-15 5.664508e-15 3.934794e-15 2.731679e-15 1.895357e-15
## [100,] 2.377366e-15 1.627465e-15 1.113445e-15 7.613316e-16 5.202747e-16
## [,86] [,87] [,88] [,89] [,90]
## [1,] 2.455218e-31 1.117883e-31 5.087137e-32 2.313801e-32 1.051863e-32
## [2,] 1.838337e-30 8.568154e-31 3.991350e-31 1.858352e-31 8.648026e-32
## [3,] 1.330583e-29 6.345833e-30 3.024864e-30 1.441116e-30 6.862344e-31
## [4,] 9.309796e-29 4.541514e-29 2.214276e-29 1.079042e-29 5.255640e-30
## [5,] 6.296805e-28 3.140678e-28 1.565659e-28 7.800931e-29 3.884869e-29
## [6,] 4.117010e-27 2.098731e-27 1.069306e-27 5.445317e-28 2.771564e-28
## [7,] 2.602108e-26 1.355192e-26 7.054186e-27 3.670022e-27 1.908407e-27
## [8,] 1.589829e-25 8.455818e-26 4.495017e-26 2.388266e-26 1.268279e-26
## [9,] 9.389816e-25 5.098249e-25 2.766658e-25 1.500602e-25 8.134976e-26
## [10,] 5.360996e-24 2.970278e-24 1.644823e-24 9.103679e-25 5.036112e-25
## [11,] 2.958799e-23 1.672183e-23 9.445449e-24 5.332576e-24 3.009069e-24
## [12,] 1.578582e-22 9.096645e-23 5.239208e-23 3.015961e-23 1.735268e-23
## [13,] 8.141430e-22 4.781777e-22 2.807039e-22 1.646961e-22 9.658254e-23
## [14,] 4.058969e-21 2.428891e-21 1.452683e-21 8.683789e-22 5.188339e-22
## [15,] 1.956197e-20 1.192168e-20 7.261610e-21 4.420832e-21 2.690022e-21
## [16,] 9.113621e-20 5.654283e-20 3.506184e-20 2.173038e-20 1.346111e-20
## [17,] 4.104413e-19 2.591363e-19 1.635220e-19 1.031334e-19 6.501350e-20
## [18,] 1.786870e-18 1.147598e-18 7.366431e-19 4.726071e-19 3.030567e-19
## [19,] 7.519973e-18 4.910909e-18 3.205368e-18 2.091075e-18 1.363459e-18
## [20,] 3.059295e-17 2.030695e-17 1.347219e-17 8.933212e-18 5.920490e-18
## [21,] 1.203118e-16 8.114057e-17 5.469383e-17 3.684804e-17 2.481253e-17
## [22,] 4.573795e-16 3.132868e-16 2.144757e-16 1.467539e-16 1.003649e-16
## [23,] 1.680842e-15 1.168845e-15 8.123768e-16 5.643308e-16 3.918237e-16
## [24,] 5.971159e-15 4.213882e-15 2.972190e-15 2.095301e-15 1.476376e-15
## [25,] 2.050558e-14 1.467974e-14 1.050353e-14 7.511520e-15 5.369094e-15
## [26,] 6.807181e-14 4.941574e-14 3.585368e-14 2.600027e-14 1.884528e-14
## [27,] 2.184460e-13 1.607395e-13 1.182148e-13 8.689535e-14 6.384133e-14
## [28,] 6.776456e-13 5.052320e-13 3.764866e-13 2.804038e-13 2.087368e-13
## [29,] 2.032089e-12 1.534510e-12 1.158156e-12 8.736549e-13 6.587089e-13
## [30,] 5.890669e-12 4.503592e-12 3.441312e-12 2.628237e-12 2.006254e-12
## [31,] 1.650700e-11 1.277201e-11 9.876902e-12 7.634101e-12 5.897606e-12
## [32,] 4.471501e-11 3.500016e-11 2.738149e-11 2.141016e-11 1.673260e-11
## [33,] 1.170901e-10 9.268116e-11 7.332181e-11 5.797631e-11 4.581932e-11
## [34,] 2.963936e-10 2.371503e-10 1.896483e-10 1.515828e-10 1.210965e-10
## [35,] 7.252688e-10 5.863628e-10 4.738101e-10 3.826643e-10 3.088959e-10
## [36,] 1.715580e-09 1.400941e-09 1.143403e-09 9.327270e-10 7.604845e-10
## [37,] 3.922875e-09 3.234328e-09 2.665226e-09 2.195128e-09 1.807034e-09
## [38,] 8.671209e-09 7.215374e-09 6.000791e-09 4.988085e-09 4.144192e-09
## [39,] 1.852834e-08 1.555408e-08 1.305036e-08 1.094401e-08 9.172992e-09
## [40,] 3.827147e-08 3.239966e-08 2.741425e-08 2.318397e-08 1.959656e-08
## [41,] 7.641795e-08 6.521497e-08 5.562496e-08 4.742067e-08 4.040605e-08
## [42,] 1.475018e-07 1.268425e-07 1.090191e-07 9.365185e-08 8.041011e-08
## [43,] 2.752206e-07 2.383927e-07 2.063837e-07 1.785803e-07 1.544445e-07
## [44,] 4.964165e-07 4.329441e-07 3.773878e-07 3.287907e-07 2.863070e-07
## [45,] 8.655519e-07 7.597685e-07 6.665610e-07 5.844861e-07 5.122585e-07
## [46,] 1.458887e-06 1.288373e-06 1.137186e-06 1.003223e-06 8.845940e-07
## [47,] 2.377016e-06 2.111117e-06 1.873972e-06 1.662606e-06 1.474336e-06
## [48,] 3.743898e-06 3.342672e-06 2.982868e-06 2.660419e-06 2.371628e-06
## [49,] 5.700299e-06 5.114297e-06 4.586113e-06 4.110354e-06 3.682090e-06
## [50,] 8.389825e-06 7.561167e-06 6.810754e-06 6.131648e-06 5.517469e-06
## [51,] 1.193685e-05 1.080195e-05 9.769790e-06 8.831689e-06 7.979635e-06
## [52,] 1.641756e-05 1.491168e-05 1.353677e-05 1.228228e-05 1.113843e-05
## [53,] 2.182775e-05 1.989122e-05 1.811692e-05 1.649237e-05 1.500591e-05
## [54,] 2.805375e-05 2.563934e-05 2.342035e-05 2.138235e-05 1.951184e-05
## [55,] 3.485415e-05 3.193472e-05 2.924436e-05 2.676682e-05 2.448680e-05
## [56,] 4.186006e-05 3.843527e-05 3.527203e-05 3.235241e-05 2.965948e-05
## [57,] 4.859895e-05 4.469999e-05 4.109212e-05 3.775593e-05 3.467309e-05
## [58,] 5.454257e-05 5.023376e-05 4.624089e-05 4.254342e-05 3.912184e-05
## [59,] 5.917332e-05 5.454997e-05 5.026129e-05 4.628586e-05 4.260335e-05
## [60,] 6.205803e-05 5.724059e-05 5.276922e-05 4.862201e-05 4.477811e-05
## [61,] 6.291464e-05 5.803958e-05 5.351399e-05 4.931580e-05 4.542401e-05
## [62,] 6.165767e-05 5.686633e-05 5.241960e-05 4.829564e-05 4.447366e-05
## [63,] 5.841228e-05 5.383897e-05 4.959750e-05 4.566658e-05 4.202598e-05
## [64,] 5.349373e-05 4.925484e-05 4.532789e-05 4.169248e-05 3.832927e-05
## [65,] 4.735690e-05 4.354234e-05 4.001390e-05 3.675239e-05 3.373968e-05
## [66,] 4.052708e-05 3.719507e-05 3.411897e-05 3.128110e-05 2.866480e-05
## [67,] 3.352657e-05 3.070221e-05 2.810092e-05 2.570675e-05 2.350469e-05
## [68,] 2.681109e-05 2.448863e-05 2.235553e-05 2.039770e-05 1.860193e-05
## [69,] 2.072629e-05 1.887427e-05 1.717865e-05 1.562729e-05 1.420885e-05
## [70,] 1.548853e-05 1.405679e-05 1.275066e-05 1.155992e-05 1.047508e-05
## [71,] 1.118873e-05 1.011610e-05 9.141471e-06 8.256474e-06 7.453390e-06
## [72,] 7.813271e-06 7.034784e-06 6.330516e-06 5.693812e-06 5.118560e-06
## [73,] 5.274322e-06 4.727146e-06 4.234497e-06 3.791231e-06 3.392653e-06
## [74,] 3.441772e-06 3.069431e-06 2.735925e-06 2.437396e-06 2.170345e-06
## [75,] 2.171097e-06 1.925872e-06 1.707443e-06 1.513006e-06 1.340033e-06
## [76,] 1.323909e-06 1.167637e-06 1.029267e-06 9.068255e-07 7.985465e-07
## [77,] 7.804022e-07 6.840670e-07 5.993069e-07 5.247779e-07 4.592852e-07
## [78,] 4.446934e-07 3.872579e-07 3.370624e-07 2.932216e-07 2.549543e-07
## [79,] 2.449540e-07 2.118422e-07 1.831095e-07 1.581922e-07 1.365966e-07
## [80,] 1.304337e-07 1.119787e-07 9.608406e-08 8.240299e-08 7.063423e-08
## [81,] 6.713935e-08 5.719644e-08 4.870027e-08 4.144474e-08 3.525235e-08
## [82,] 3.340765e-08 2.823016e-08 2.384246e-08 2.012633e-08 1.698082e-08
## [83,] 1.606928e-08 1.346382e-08 1.127484e-08 9.436877e-09 7.894541e-09
## [84,] 7.471859e-09 6.204886e-09 5.150026e-09 4.272290e-09 3.542360e-09
## [85,] 3.358478e-09 2.763186e-09 2.272208e-09 1.867505e-09 1.534109e-09
## [86,] 1.459278e-09 1.189042e-09 9.683369e-10 7.881913e-10 6.412353e-10
## [87,] 6.129361e-10 4.944184e-10 3.986066e-10 3.211960e-10 2.586880e-10
## [88,] 2.488709e-10 1.986566e-10 1.584901e-10 1.263797e-10 1.007240e-10
## [89,] 9.768202e-11 7.712974e-11 6.086948e-11 4.801235e-11 3.785184e-11
## [90,] 3.706268e-11 2.893687e-11 2.258066e-11 1.761154e-11 1.372900e-11
## [91,] 1.359380e-11 1.049039e-11 8.091206e-12 6.237498e-12 4.806050e-12
## [92,] 4.819770e-12 3.674876e-12 2.800462e-12 2.133006e-12 1.623811e-12
## [93,] 1.651937e-12 1.243954e-12 9.362367e-13 7.042755e-13 5.295174e-13
## [94,] 5.473214e-13 4.068897e-13 3.023301e-13 2.245234e-13 1.666567e-13
## [95,] 1.752964e-13 1.286055e-13 9.430108e-14 6.911135e-14 5.062474e-14
## [96,] 5.427318e-14 3.927835e-14 2.841134e-14 2.054025e-14 1.484228e-14
## [97,] 1.624349e-14 1.159198e-14 8.268112e-15 5.894281e-15 4.199871e-15
## [98,] 4.699534e-15 3.305769e-15 2.324132e-15 1.633144e-15 1.147015e-15
## [99,] 1.314353e-15 9.109576e-16 6.310369e-16 4.369049e-16 3.023429e-16
## [100,] 3.553457e-16 2.425685e-16 1.654963e-16 1.128543e-16 7.691805e-17
## [,91] [,92] [,93] [,94] [,95]
## [1,] 4.779450e-33 2.170635e-33 9.853499e-34 4.470883e-34 2.027680e-34
## [2,] 4.022457e-32 1.870062e-32 8.689913e-33 4.036212e-33 1.873855e-33
## [3,] 3.266116e-31 1.553749e-31 7.387969e-32 3.511303e-32 1.668072e-32
## [4,] 2.558577e-30 1.244977e-30 6.055072e-31 2.943582e-31 1.430331e-31
## [5,] 1.933713e-29 9.620501e-30 4.784077e-30 2.377923e-30 1.181410e-30
## [6,] 1.409977e-28 7.169511e-29 3.643860e-29 1.851113e-29 9.399564e-30
## [7,] 9.918795e-28 5.152726e-28 2.675531e-28 1.388615e-28 7.203728e-29
## [8,] 6.731819e-27 3.571414e-27 1.893838e-27 1.003794e-27 5.318014e-28
## [9,] 4.407908e-26 2.387256e-26 1.292291e-26 6.992309e-27 3.781676e-27
## [10,] 2.784578e-25 1.538911e-25 8.500850e-26 4.693647e-26 2.590370e-26
## [11,] 1.697121e-24 9.567172e-25 5.390750e-25 3.036085e-25 1.709157e-25
## [12,] 9.979134e-24 5.736003e-24 3.295494e-24 1.892479e-24 1.086287e-24
## [13,] 5.661084e-23 3.316582e-23 1.942123e-23 1.136742e-23 6.650437e-24
## [14,] 3.098368e-22 1.849387e-22 1.103360e-22 6.579700e-23 3.921915e-23
## [15,] 1.636037e-21 9.945361e-22 6.042863e-22 3.669984e-22 2.227865e-22
## [16,] 8.334504e-21 5.157852e-21 3.190456e-21 1.972586e-21 1.219052e-21
## [17,] 4.096313e-20 2.579722e-20 1.623856e-20 1.021695e-20 6.425371e-21
## [18,] 1.942375e-19 1.244322e-19 7.967587e-20 5.099413e-20 3.262247e-20
## [19,] 8.885868e-19 5.788259e-19 3.768693e-19 2.452634e-19 1.595431e-19
## [20,] 3.921870e-18 2.596683e-18 1.718460e-18 1.136734e-18 7.515918e-19
## [21,] 1.669987e-17 1.123429e-17 7.553925e-18 5.076904e-18 3.410583e-18
## [22,] 6.860564e-17 4.687355e-17 3.201036e-17 2.185005e-17 1.490794e-17
## [23,] 2.719150e-16 1.886105e-16 1.307655e-16 9.061909e-17 6.276964e-17
## [24,] 1.039760e-15 7.319128e-16 5.149682e-16 3.621601e-16 2.545799e-16
## [25,] 3.835833e-15 2.739105e-15 1.955025e-15 1.394746e-15 9.945834e-16
## [26,] 1.365252e-14 9.885838e-15 7.154986e-15 5.176106e-15 3.742837e-15
## [27,] 4.688057e-14 3.440916e-14 2.524352e-14 1.851079e-14 1.356761e-14
## [28,] 1.553100e-13 1.155022e-13 8.585701e-14 6.379114e-14 4.737491e-14
## [29,] 4.964011e-13 3.739057e-13 2.815051e-13 2.118407e-13 1.593441e-13
## [30,] 1.530709e-12 1.167319e-12 8.897773e-13 6.779102e-13 5.162576e-13
## [31,] 4.553855e-12 3.514574e-12 2.711197e-12 2.090492e-12 1.611163e-12
## [32,] 1.307050e-11 1.020497e-11 7.963894e-12 6.212101e-12 4.843452e-12
## [33,] 3.619364e-11 2.857630e-11 2.255145e-11 1.778862e-11 1.402534e-11
## [34,] 9.669382e-11 7.717135e-11 6.156136e-11 4.908621e-11 3.912138e-11
## [35,] 2.492252e-10 2.009842e-10 1.620043e-10 1.305240e-10 1.051133e-10
## [36,] 6.197431e-10 5.048046e-10 4.109884e-10 3.344529e-10 2.720469e-10
## [37,] 1.486819e-09 1.222758e-09 1.005118e-09 8.258349e-10 6.782232e-10
## [38,] 3.441370e-09 2.856361e-09 2.369679e-09 1.965012e-09 1.628711e-09
## [39,] 7.684775e-09 6.434894e-09 5.385754e-09 4.505579e-09 3.767543e-09
## [40,] 1.655608e-08 1.398059e-08 1.180016e-08 9.955196e-09 8.394889e-09
## [41,] 3.441206e-08 2.929309e-08 2.492380e-08 2.119643e-08 1.801832e-08
## [42,] 6.900657e-08 5.919165e-08 5.074873e-08 4.348997e-08 3.725258e-08
## [43,] 1.335048e-07 1.153484e-07 9.961408e-08 8.598629e-08 7.418926e-08
## [44,] 2.491896e-07 2.167794e-07 1.884955e-07 1.638260e-07 1.423208e-07
## [45,] 4.487347e-07 3.928985e-07 3.438474e-07 3.007810e-07 2.629894e-07
## [46,] 7.796075e-07 6.867494e-07 6.046656e-07 5.321467e-07 4.681132e-07
## [47,] 1.306740e-06 1.157636e-06 1.025060e-06 9.072481e-07 8.026129e-07
## [48,] 2.113142e-06 1.881920e-06 1.675206e-06 1.490508e-06 1.325574e-06
## [49,] 3.296819e-06 2.950435e-06 2.639196e-06 2.359698e-06 2.108844e-06
## [50,] 4.962358e-06 4.460941e-06 4.008295e-06 3.599913e-06 3.231675e-06
## [51,] 7.206224e-06 6.504632e-06 5.868572e-06 5.292261e-06 4.770386e-06
## [52,] 1.009611e-05 9.146913e-06 8.283041e-06 7.497288e-06 6.783002e-06
## [53,] 1.364668e-05 1.240458e-05 1.127021e-05 1.023483e-05 9.290370e-06
## [54,] 1.779618e-05 1.622352e-05 1.478286e-05 1.346390e-05 1.225707e-05
## [55,] 2.238994e-05 2.046275e-05 1.869261e-05 1.706769e-05 1.557697e-05
## [56,] 2.717727e-05 2.489078e-05 2.278588e-05 2.084934e-05 1.906875e-05
## [57,] 3.182625e-05 2.919904e-05 2.677604e-05 2.454276e-05 2.248556e-05
## [58,] 3.595769e-05 3.303348e-05 3.033274e-05 2.783993e-05 2.554042e-05
## [59,] 3.919445e-05 3.604091e-05 3.312544e-05 3.043173e-05 2.794441e-05
## [60,] 4.121774e-05 3.792214e-05 3.487355e-05 3.205521e-05 2.945131e-05
## [61,] 4.181869e-05 3.848093e-05 3.539284e-05 3.253752e-05 2.989901e-05
## [62,] 4.093391e-05 3.765771e-05 3.462735e-05 3.182613e-05 2.923827e-05
## [63,] 3.865652e-05 3.554004e-05 3.265937e-05 2.999831e-05 2.754160e-05
## [64,] 3.521997e-05 3.234727e-05 2.969484e-05 2.724730e-05 2.499018e-05
## [65,] 3.095864e-05 2.839311e-05 2.602788e-05 2.384865e-05 2.184198e-05
## [66,] 2.625435e-05 2.403499e-05 2.199283e-05 2.011489e-05 1.838897e-05
## [67,] 2.148065e-05 1.962142e-05 1.791465e-05 1.634878e-05 1.491302e-05
## [68,] 1.695588e-05 1.544802e-05 1.406760e-05 1.280461e-05 1.164974e-05
## [69,] 1.291278e-05 1.172926e-05 1.064919e-05 9.664099e-06 8.766165e-06
## [70,] 9.487370e-06 8.588638e-06 7.771369e-06 7.028617e-06 6.353977e-06
## [71,] 6.725098e-06 6.065038e-06 5.467178e-06 4.925973e-06 4.436334e-06
## [72,] 4.599155e-06 4.130460e-06 3.707777e-06 3.326809e-06 2.983634e-06
## [73,] 3.034479e-06 2.712807e-06 2.424089e-06 2.165097e-06 1.932900e-06
## [74,] 1.931598e-06 1.718285e-06 1.527806e-06 1.357814e-06 1.206191e-06
## [75,] 1.186250e-06 1.049608e-06 9.282662e-07 8.205729e-07 7.250455e-07
## [76,] 7.028494e-07 6.183217e-07 5.437027e-07 4.778676e-07 4.198142e-07
## [77,] 4.017676e-07 3.512834e-07 3.069977e-07 2.681709e-07 2.341486e-07
## [78,] 2.215717e-07 1.924671e-07 1.671065e-07 1.450205e-07 1.257965e-07
## [79,] 1.178909e-07 1.016976e-07 8.768720e-08 7.557195e-08 6.510112e-08
## [80,] 6.051639e-08 5.182281e-08 4.435716e-08 3.794946e-08 3.245270e-08
## [81,] 2.997039e-08 2.546753e-08 2.163097e-08 1.836387e-08 1.558317e-08
## [82,] 1.431984e-08 1.207002e-08 1.016887e-08 8.563208e-09 7.207815e-09
## [83,] 6.601018e-09 5.516774e-09 4.608443e-09 3.847888e-09 3.211397e-09
## [84,] 2.935690e-09 2.431744e-09 2.013355e-09 1.666180e-09 1.378247e-09
## [85,] 1.259610e-09 1.033728e-09 8.479518e-10 6.952407e-10 5.697739e-10
## [86,] 5.214213e-10 4.237896e-10 3.442759e-10 2.795516e-10 2.268929e-10
## [87,] 2.082419e-10 1.675521e-10 1.347494e-10 1.083185e-10 8.703255e-11
## [88,] 8.023686e-11 6.388594e-11 5.084303e-11 4.044424e-11 3.215772e-11
## [89,] 2.982679e-11 2.349180e-11 1.849357e-11 1.455206e-11 1.144541e-11
## [90,] 1.069709e-11 8.330727e-12 6.484774e-12 5.045519e-12 3.923921e-12
## [91,] 3.701277e-12 2.849084e-12 2.192065e-12 1.685780e-12 1.295841e-12
## [92,] 1.235561e-12 9.396868e-13 7.143266e-13 5.427623e-13 4.122170e-13
## [93,] 3.979269e-13 2.988937e-13 2.244010e-13 1.683961e-13 1.263114e-13
## [94,] 1.236429e-13 9.168661e-14 6.795750e-14 5.034635e-14 3.728224e-14
## [95,] 3.706480e-14 2.712382e-14 1.983968e-14 1.450500e-14 1.059996e-14
## [96,] 1.071966e-14 7.738403e-15 5.583629e-15 4.026994e-15 2.903011e-15
## [97,] 2.991071e-15 2.129156e-15 1.514897e-15 1.077353e-15 7.658365e-16
## [98,] 8.051914e-16 5.649622e-16 3.962182e-16 2.777464e-16 1.946104e-16
## [99,] 2.091213e-16 1.445729e-16 9.990109e-17 6.900058e-17 4.763637e-17
## [100,] 5.239912e-17 3.567878e-17 2.428235e-17 1.651850e-17 1.123192e-17
## [,96] [,97] [,98] [,99] [,100]
## [1,] 9.192068e-35 4.165225e-35 1.886596e-35 8.541589e-36 3.865637e-36
## [2,] 8.695715e-34 4.033538e-34 1.870176e-34 8.667580e-35 4.015466e-35
## [3,] 7.920799e-33 3.759539e-33 1.783674e-33 8.458934e-34 4.009945e-34
## [4,] 6.947112e-32 3.372746e-32 1.636735e-32 7.939480e-33 3.849715e-33
## [5,] 5.866935e-31 2.912281e-31 1.445009e-31 7.166831e-32 3.553091e-32
## [6,] 4.770786e-30 2.420380e-30 1.227418e-30 6.221868e-31 3.152621e-31
## [7,] 3.735426e-29 1.936130e-29 1.003100e-29 5.194852e-30 2.689210e-30
## [8,] 2.816191e-28 1.490686e-28 7.887249e-29 4.171422e-29 2.205288e-29
## [9,] 2.044352e-27 1.104685e-27 5.966731e-28 3.221467e-28 1.738576e-28
## [10,] 1.428962e-26 7.879364e-27 4.342871e-27 2.392665e-27 1.317679e-27
## [11,] 9.617398e-26 5.409345e-26 3.041215e-26 1.709105e-26 9.600923e-27
## [12,] 6.232553e-25 3.574364e-25 2.049023e-25 1.174124e-25 6.725183e-26
## [13,] 3.889073e-24 2.273283e-24 1.328239e-24 7.757437e-25 4.528797e-25
## [14,] 2.336672e-23 1.391582e-23 8.283910e-24 4.929251e-24 2.931901e-24
## [15,] 1.351827e-22 8.199076e-23 4.970774e-23 3.012328e-23 1.824750e-23
## [16,] 7.530368e-22 4.649664e-22 2.869739e-22 1.770444e-22 1.091805e-22
## [17,] 4.039083e-21 2.537926e-21 1.594007e-21 1.000739e-21 6.280209e-22
## [18,] 2.086033e-20 1.333327e-20 8.518593e-21 5.440240e-21 3.472890e-21
## [19,] 1.037364e-19 6.742103e-20 4.380010e-20 2.844290e-20 1.846271e-20
## [20,] 4.967210e-19 3.281365e-19 2.166766e-19 1.430172e-19 9.435993e-20
## [21,] 2.290160e-18 1.537143e-18 1.031284e-18 6.916104e-19 4.636256e-19
## [22,] 1.016695e-17 6.930664e-18 4.722527e-18 3.216572e-18 2.189953e-18
## [23,] 4.345973e-17 3.007710e-17 2.080656e-17 1.438744e-17 9.944655e-18
## [24,] 1.788773e-16 1.256313e-16 8.819736e-17 6.189173e-17 4.341426e-17
## [25,] 7.089162e-16 5.050799e-16 3.597001e-16 2.560591e-16 1.822060e-16
## [26,] 2.705243e-15 1.954443e-15 1.411417e-15 1.018841e-15 7.351576e-16
## [27,] 9.940066e-15 7.279251e-15 5.328432e-15 3.898803e-15 2.851583e-15
## [28,] 3.516770e-14 2.609462e-14 1.935412e-14 1.434878e-14 1.063357e-14
## [29,] 1.198037e-13 9.003593e-14 6.763584e-14 5.078752e-14 3.812061e-14
## [30,] 3.929779e-13 2.990070e-13 2.274102e-13 1.728852e-13 1.313797e-13
## [31,] 1.241188e-12 9.557572e-13 7.356526e-13 5.660009e-13 4.352955e-13
## [32,] 3.774670e-12 2.940454e-12 2.289630e-12 1.782113e-12 1.386525e-12
## [33,] 1.105330e-11 8.707267e-12 6.856260e-12 5.396495e-12 4.245795e-12
## [34,] 3.116566e-11 2.481704e-11 1.975327e-11 1.571618e-11 1.249908e-11
## [35,] 8.461209e-11 6.807986e-11 5.475455e-11 4.401908e-11 3.537402e-11
## [36,] 2.211873e-10 1.797579e-10 1.460263e-10 1.185751e-10 9.624508e-11
## [37,] 5.567492e-10 4.568335e-10 3.746897e-10 3.071883e-10 2.517447e-10
## [38,] 1.349369e-09 1.117451e-09 9.250005e-10 7.653752e-10 6.330378e-10
## [39,] 3.149005e-09 2.630873e-09 2.197059e-09 1.834015e-09 1.530335e-09
## [40,] 7.075997e-09 5.961722e-09 5.020781e-09 4.226587e-09 3.556569e-09
## [41,] 1.530994e-08 1.300302e-08 1.103902e-08 9.367755e-09 7.946272e-09
## [42,] 3.189563e-08 2.729716e-08 2.335173e-08 1.996824e-08 1.706803e-08
## [43,] 6.398238e-08 5.515581e-08 4.752667e-08 4.093575e-08 3.524445e-08
## [44,] 1.235837e-07 1.072669e-07 9.306479e-08 8.070943e-08 6.996582e-08
## [45,] 2.298443e-07 2.007894e-07 1.753327e-07 1.530398e-07 1.335269e-07
## [46,] 4.116024e-07 3.617566e-07 3.178120e-07 2.790894e-07 2.449847e-07
## [47,] 7.097309e-07 6.273252e-07 5.542519e-07 4.894865e-07 4.321127e-07
## [48,] 1.178368e-06 1.047056e-06 9.299802e-07 8.256515e-07 7.327277e-07
## [49,] 1.883823e-06 1.682083e-06 1.501308e-06 1.339404e-06 1.194472e-06
## [50,] 2.899819e-06 2.600911e-06 2.331823e-06 2.089704e-06 1.871960e-06
## [51,] 4.298067e-06 3.870833e-06 3.484585e-06 3.135572e-06 2.820364e-06
## [52,] 6.134048e-06 5.544775e-06 5.009981e-06 4.524882e-06 4.085087e-06
## [53,] 8.429325e-06 7.644764e-06 6.930279e-06 6.279954e-06 5.688333e-06
## [54,] 1.115347e-05 1.014483e-05 9.223485e-06 8.382322e-06 7.614762e-06
## [55,] 1.421016e-05 1.295765e-05 1.181052e-05 1.076046e-05 9.799758e-06
## [56,] 1.743249e-05 1.592973e-05 1.455032e-05 1.328483e-05 1.212445e-05
## [57,] 2.059167e-05 1.884912e-05 1.724669e-05 1.577392e-05 1.442103e-05
## [58,] 2.342046e-05 2.146715e-05 1.966838e-05 1.801283e-05 1.648990e-05
## [59,] 2.564903e-05 2.353197e-05 2.158048e-05 1.978258e-05 1.812706e-05
## [60,] 2.704693e-05 2.482806e-05 2.278154e-05 2.089501e-05 1.915687e-05
## [61,] 2.746229e-05 2.521321e-05 2.313848e-05 2.122564e-05 1.946298e-05
## [62,] 2.684893e-05 2.464416e-05 2.261081e-05 2.073660e-05 1.900998e-05
## [63,] 2.527488e-05 2.318464e-05 2.125823e-05 1.948377e-05 1.785014e-05
## [64,] 2.290987e-05 2.099363e-05 1.922949e-05 1.760626e-05 1.611348e-05
## [65,] 1.999530e-05 1.829681e-05 1.673548e-05 1.530100e-05 1.398378e-05
## [66,] 1.680370e-05 1.534842e-05 1.401322e-05 1.278884e-05 1.166668e-05
## [67,] 1.359732e-05 1.239232e-05 1.128931e-05 1.028019e-05 9.357456e-06
## [68,] 1.059433e-05 9.630358e-06 8.750373e-06 7.947488e-06 7.215325e-06
## [69,] 7.948139e-06 7.203320e-06 6.525523e-06 5.909042e-06 5.348618e-06
## [70,] 5.741547e-06 5.185894e-06 4.682025e-06 4.225353e-06 3.811667e-06
## [71,] 3.993595e-06 3.593480e-06 3.232078e-06 2.905812e-06 2.611415e-06
## [72,] 2.674673e-06 2.396665e-06 2.146641e-06 1.921899e-06 1.719984e-06
## [73,] 1.724841e-06 1.538510e-06 1.371724e-06 1.222510e-06 1.089082e-06
## [74,] 1.071024e-06 9.505911e-07 8.433419e-07 7.478814e-07 6.629558e-07
## [75,] 6.403550e-07 5.653115e-07 4.988503e-07 4.400193e-07 3.879681e-07
## [76,] 3.686499e-07 3.235807e-07 2.839007e-07 2.489828e-07 2.182705e-07
## [77,] 2.043521e-07 1.782699e-07 1.554506e-07 1.354958e-07 1.180543e-07
## [78,] 1.090726e-07 9.453094e-08 8.189318e-08 7.091540e-08 6.138414e-08
## [79,] 5.605622e-08 4.824703e-08 4.150810e-08 3.569555e-08 3.068444e-08
## [80,] 2.773982e-08 2.370107e-08 2.024173e-08 1.728010e-08 1.474578e-08
## [81,] 1.321768e-08 1.120639e-08 9.497119e-09 8.045204e-09 6.812476e-09
## [82,] 6.064266e-09 5.099932e-09 4.287122e-09 3.602355e-09 3.025727e-09
## [83,] 2.679002e-09 2.233899e-09 1.861956e-09 1.551295e-09 1.291940e-09
## [84,] 1.139566e-09 9.418102e-10 7.780414e-10 6.424823e-10 5.303253e-10
## [85,] 4.667426e-10 3.821764e-10 3.127992e-10 2.559095e-10 2.092811e-10
## [86,] 1.840717e-10 1.492674e-10 1.209924e-10 9.803257e-11 7.939724e-11
## [87,] 6.989860e-11 5.611341e-11 4.502775e-11 3.611710e-11 2.895799e-11
## [88,] 2.555768e-11 2.030341e-11 1.612249e-11 1.279717e-11 1.015357e-11
## [89,] 8.998000e-12 7.070857e-12 5.554096e-12 4.360878e-12 3.422608e-12
## [90,] 3.050298e-12 2.370149e-12 1.840876e-12 1.429198e-12 1.109131e-12
## [91,] 9.956578e-13 7.646803e-13 5.870365e-13 4.504737e-13 3.455385e-13
## [92,] 3.129317e-13 2.374569e-13 1.801090e-13 1.365542e-13 1.034898e-13
## [93,] 9.470235e-14 7.097254e-14 5.316616e-14 3.981066e-14 2.979794e-14
## [94,] 2.759583e-14 2.041722e-14 1.509958e-14 1.116227e-14 8.248264e-15
## [95,] 7.742798e-15 5.653317e-15 4.125951e-15 3.009982e-15 2.194960e-15
## [96,] 2.091819e-15 1.506644e-15 1.084708e-15 7.806100e-16 5.615367e-16
## [97,] 5.441538e-16 3.864727e-16 2.743667e-16 1.946987e-16 1.381075e-16
## [98,] 1.362985e-16 9.541740e-17 6.676970e-17 4.670361e-17 3.265458e-17
## [99,] 3.287245e-17 2.267446e-17 1.563353e-17 1.077448e-17 7.422644e-18
## [100,] 7.633868e-18 5.186172e-18 3.521798e-18 2.390569e-18 1.622037e-18contour(x = mean.grid,y = prec.grid,z = post.grid)
image(x = mean.grid,y = prec.grid,z = post.grid)
plot(x =mean.grid,y = rowMeans(post.grid),type ="l" )
plot(x =mean.grid,y = colMeans(post.grid),type ="l" )
### Data summaries
mean.y <- mean(y)
var.y <- var(y)
n <- length(y)
### Starting values
S <- 1000
PHI <- matrix(NA, nrow = S, ncol = 2)
# Initial values: (mu, precision = 1/sigma^2)
phi <- c(mean.y, 1 / var.y)
PHI[1, ] <- phi
### Gibbs sampling
set.seed(1)
for (s in 2:S) {
# --- Sample mu | phi, y ---
mu_n <- (mu0 / t20 + n * mean.y * phi[2]) / (1 / t20 + n * phi[2])
t2_n <- 1 / (1 / t20 + n * phi[2])
phi[1] <- rnorm(1, mean = mu_n, sd = sqrt(t2_n))
# --- Sample precision (1/sigma^2) | mu, y ---
nu_n <- nu0 + n
s2_n <- (nu0 * s20 +(n - 1) * var.y + n * (mean.y - phi[1])^2) / nu_n
phi[2] <- rgamma(1,shape = nu_n / 2,rate = nu_n * s2_n / 2)
# Store results
PHI[s, ] <- phi
}
PHI## [,1] [,2]
## [1,] 1.804444 59.249506
## [2,] 1.777542 64.644769
## [3,] 1.770015 109.452135
## [4,] 1.815045 40.097871
## [5,] 1.789247 61.016227
## [6,] 1.791618 113.012706
## [7,] 1.816766 44.793608
## [8,] 1.789824 49.942034
## [9,] 1.803917 92.741227
## [10,] 1.832977 76.771355
## [11,] 1.839530 80.871704
## [12,] 1.807351 17.496111
## [13,] 1.845105 88.779541
## [14,] 1.780150 29.101835
## [15,] 1.830617 103.761306
## [16,] 1.801196 73.870615
## [17,] 1.802518 28.304853
## [18,] 1.866886 40.363377
## [19,] 1.862362 71.508111
## [20,] 1.798129 54.733171
## [21,] 1.767212 30.039086
## [22,] 1.761894 65.791117
## [23,] 1.836177 55.357012
## [24,] 1.816567 51.062567
## [25,] 1.820567 32.886738
## [26,] 1.819313 80.361456
## [27,] 1.798177 76.554919
## [28,] 1.803104 83.868736
## [29,] 1.805603 42.216126
## [30,] 1.731717 55.130435
## [31,] 1.815797 63.476460
## [32,] 1.805430 69.812027
## [33,] 1.778743 56.313673
## [34,] 1.749028 59.532705
## [35,] 1.785510 60.740438
## [36,] 1.807814 45.978769
## [37,] 1.866266 70.081621
## [38,] 1.795879 50.026007
## [39,] 1.820351 95.556665
## [40,] 1.794202 72.881899
## [41,] 1.815026 46.877020
## [42,] 1.805102 38.963641
## [43,] 1.889350 54.908211
## [44,] 1.747296 38.598340
## [45,] 1.858131 73.833835
## [46,] 1.774495 42.955724
## [47,] 1.812743 44.197902
## [48,] 1.740583 94.742565
## [49,] 1.787433 118.736957
## [50,] 1.791931 36.519502
## [51,] 1.883636 32.020797
## [52,] 1.866764 27.096370
## [53,] 1.787044 75.932207
## [54,] 1.797821 48.009513
## [55,] 1.753342 35.097617
## [56,] 1.799151 84.512713
## [57,] 1.801918 60.939207
## [58,] 1.804478 114.162212
## [59,] 1.789715 86.433879
## [60,] 1.769683 78.015370
## [61,] 1.768551 28.942297
## [62,] 1.772186 41.752147
## [63,] 1.842909 58.690969
## [64,] 1.790573 33.938432
## [65,] 1.741055 33.647114
## [66,] 1.779085 73.686615
## [67,] 1.758802 99.642514
## [68,] 1.760797 53.001412
## [69,] 1.762163 92.571458
## [70,] 1.804138 51.577201
## [71,] 1.824379 53.943808
## [72,] 1.880834 63.842031
## [73,] 1.834355 44.711134
## [74,] 1.733792 44.211085
## [75,] 1.898986 24.350573
## [76,] 1.835718 56.399698
## [77,] 1.831209 24.404591
## [78,] 1.944599 43.151236
## [79,] 1.865923 25.324250
## [80,] 1.765774 86.091132
## [81,] 1.823694 58.105161
## [82,] 1.868624 33.187548
## [83,] 1.868453 49.088784
## [84,] 1.823786 41.533972
## [85,] 1.854348 108.694604
## [86,] 1.770548 58.411475
## [87,] 1.787658 47.696590
## [88,] 1.824425 118.368981
## [89,] 1.853128 45.991442
## [90,] 1.881145 37.968018
## [91,] 1.833990 58.498961
## [92,] 1.844962 57.306291
## [93,] 1.757752 48.691362
## [94,] 1.851815 100.488919
## [95,] 1.794301 30.614360
## [96,] 1.707165 69.368256
## [97,] 1.782951 68.515191
## [98,] 1.796812 116.314724
## [99,] 1.758964 51.314041
## [100,] 1.730053 50.588392
## [101,] 1.816995 160.836933
## [102,] 1.778721 74.382519
## [103,] 1.870134 43.118914
## [104,] 1.860313 51.858140
## [105,] 1.757811 104.223298
## [106,] 1.804741 86.468648
## [107,] 1.795422 57.006709
## [108,] 1.734234 59.156400
## [109,] 1.822896 126.318653
## [110,] 1.835204 60.899913
## [111,] 1.801116 81.000947
## [112,] 1.771747 61.126256
## [113,] 1.819666 78.082939
## [114,] 1.761839 100.852289
## [115,] 1.827852 151.911182
## [116,] 1.753427 39.606346
## [117,] 1.787234 36.931125
## [118,] 1.897994 32.250367
## [119,] 1.960008 26.663292
## [120,] 1.877675 9.871941
## [121,] 1.774106 21.952845
## [122,] 1.833223 48.230879
## [123,] 1.829303 70.630092
## [124,] 1.872926 43.511593
## [125,] 1.852410 65.976010
## [126,] 1.845834 46.253868
## [127,] 1.716186 37.723595
## [128,] 1.901116 41.807708
## [129,] 1.844136 84.851644
## [130,] 1.802754 53.425765
## [131,] 1.871477 65.168712
## [132,] 1.885332 38.717349
## [133,] 1.885629 45.783576
## [134,] 1.832606 34.030334
## [135,] 1.714828 27.313457
## [136,] 1.775973 42.232607
## [137,] 1.883580 38.018308
## [138,] 1.798222 29.901671
## [139,] 1.831270 45.747865
## [140,] 1.844798 17.630603
## [141,] 1.929503 48.223534
## [142,] 1.791593 29.357502
## [143,] 1.846543 47.621308
## [144,] 1.819863 67.731382
## [145,] 1.770480 70.663310
## [146,] 1.806821 64.041471
## [147,] 1.796224 32.668005
## [148,] 1.847855 31.198450
## [149,] 1.805692 56.722934
## [150,] 1.742365 74.042121
## [151,] 1.797199 87.499267
## [152,] 1.871792 87.920008
## [153,] 1.828638 71.090711
## [154,] 1.796994 116.403868
## [155,] 1.822957 31.798573
## [156,] 1.794626 34.905426
## [157,] 1.658779 45.948374
## [158,] 1.773489 47.304662
## [159,] 1.725818 47.447335
## [160,] 1.725556 34.263062
## [161,] 1.727291 37.394271
## [162,] 1.771634 50.206456
## [163,] 1.749815 52.156602
## [164,] 1.752428 33.589394
## [165,] 1.906038 52.650056
## [166,] 1.855666 32.670158
## [167,] 1.839979 73.400721
## [168,] 1.840230 152.247601
## [169,] 1.799654 83.598416
## [170,] 1.923581 42.291480
## [171,] 1.801189 36.846649
## [172,] 1.798724 37.887228
## [173,] 1.782858 69.735032
## [174,] 1.806225 51.164043
## [175,] 1.892907 30.742154
## [176,] 1.901821 12.361249
## [177,] 1.770799 50.185142
## [178,] 1.869732 63.260828
## [179,] 1.810345 91.488875
## [180,] 1.741857 42.244945
## [181,] 1.831537 91.248655
## [182,] 1.795815 27.149598
## [183,] 1.805761 33.932080
## [184,] 1.801073 21.244320
## [185,] 1.777533 79.077521
## [186,] 1.881801 15.041542
## [187,] 1.746917 13.961826
## [188,] 1.643968 21.055224
## [189,] 1.847951 50.468225
## [190,] 1.769082 132.901767
## [191,] 1.791995 123.562184
## [192,] 1.803992 89.515037
## [193,] 1.811799 98.773338
## [194,] 1.774910 116.913180
## [195,] 1.820240 138.974036
## [196,] 1.838488 121.121215
## [197,] 1.751255 78.305857
## [198,] 1.783647 55.401691
## [199,] 1.773078 77.085482
## [200,] 1.860749 81.723670
## [201,] 1.774624 22.493441
## [202,] 1.790070 83.039299
## [203,] 1.838038 35.499433
## [204,] 1.817815 100.785372
## [205,] 1.803635 52.044669
## [206,] 1.819298 42.505991
## [207,] 1.924724 81.287257
## [208,] 1.798430 130.989531
## [209,] 1.829154 35.029067
## [210,] 1.754988 56.739819
## [211,] 1.973082 12.245663
## [212,] 1.726609 62.746511
## [213,] 1.780395 43.525436
## [214,] 1.789736 31.843106
## [215,] 1.816487 73.566234
## [216,] 1.805739 159.543920
## [217,] 1.837681 44.365186
## [218,] 1.678346 18.975025
## [219,] 1.859925 38.311068
## [220,] 1.817198 49.815174
## [221,] 1.764354 57.302436
## [222,] 1.759560 32.577078
## [223,] 1.753225 58.731887
## [224,] 1.802570 22.557068
## [225,] 1.897263 23.896554
## [226,] 1.814677 31.872385
## [227,] 1.746981 93.517897
## [228,] 1.770427 55.350681
## [229,] 1.818233 103.993891
## [230,] 1.824231 52.135794
## [231,] 1.788686 19.607394
## [232,] 1.806437 106.597801
## [233,] 1.802431 43.252156
## [234,] 1.842390 60.485303
## [235,] 1.868361 35.249630
## [236,] 1.742166 41.139266
## [237,] 1.789407 76.367402
## [238,] 1.823080 61.289319
## [239,] 1.831636 82.315980
## [240,] 1.835190 88.345818
## [241,] 1.850431 51.384981
## [242,] 1.855607 47.339683
## [243,] 1.759847 66.468922
## [244,] 1.796498 46.639818
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## [741,] 1.833196 78.232328
## [742,] 1.758436 82.589481
## [743,] 1.829994 46.379026
## [744,] 1.763922 43.531089
## [745,] 1.862166 93.639813
## [746,] 1.838163 62.094215
## [747,] 1.837972 74.262718
## [748,] 1.803544 39.050783
## [749,] 1.813837 42.184137
## [750,] 1.817695 61.723714
## [751,] 1.720890 35.034643
## [752,] 1.841768 43.916205
## [753,] 1.772035 10.480953
## [754,] 1.773492 47.207226
## [755,] 1.777405 65.500688
## [756,] 1.844829 50.306483
## [757,] 1.829950 20.799789
## [758,] 1.827555 99.990108
## [759,] 1.837328 35.921512
## [760,] 1.771612 53.937416
## [761,] 1.839744 88.774167
## [762,] 1.834597 64.397962
## [763,] 1.749171 61.415270
## [764,] 1.810546 50.672042
## [765,] 1.773442 67.469318
## [766,] 1.810398 51.486117
## [767,] 1.825911 128.145292
## [768,] 1.861528 22.271448
## [769,] 1.725692 45.878704
## [770,] 1.795673 68.870213
## [771,] 1.781711 80.913572
## [772,] 1.750330 28.127145
## [773,] 1.729871 79.092187
## [774,] 1.784968 71.180047
## [775,] 1.801780 58.199783
## [776,] 1.853224 102.781636
## [777,] 1.763408 134.252439
## [778,] 1.798154 114.035129
## [779,] 1.800214 25.184271
## [780,] 1.870701 69.278620
## [781,] 1.844466 111.972090
## [782,] 1.815790 66.170226
## [783,] 1.868192 48.074862
## [784,] 1.876208 35.719280
## [785,] 1.724943 79.355949
## [786,] 1.782387 96.207209
## [787,] 1.885535 36.092921
## [788,] 1.774772 22.884342
## [789,] 1.729978 75.382914
## [790,] 1.837959 86.276253
## [791,] 1.841327 74.959482
## [792,] 1.827997 37.399003
## [793,] 1.854715 48.363405
## [794,] 1.839747 82.689194
## [795,] 1.723282 20.797584
## [796,] 1.757287 36.337876
## [797,] 1.840298 51.224634
## [798,] 1.837930 46.713154
## [799,] 1.801126 89.827195
## [800,] 1.842347 51.584314
## [801,] 1.755722 40.885071
## [802,] 1.782629 27.947045
## [803,] 1.687352 31.200545
## [804,] 1.738512 18.524924
## [805,] 1.894984 32.918833
## [806,] 1.767881 157.069971
## [807,] 1.752483 56.784246
## [808,] 1.834013 46.332957
## [809,] 1.756337 96.566847
## [810,] 1.735199 32.020900
## [811,] 1.785951 38.039622
## [812,] 1.894573 46.929616
## [813,] 1.710230 32.126133
## [814,] 1.848156 41.551949
## [815,] 1.806384 14.131443
## [816,] 1.813121 127.961871
## [817,] 1.779465 25.679294
## [818,] 1.943414 44.594723
## [819,] 1.825216 47.551245
## [820,] 1.796827 89.453154
## [821,] 1.805213 66.137616
## [822,] 1.870096 46.427478
## [823,] 1.813183 101.353380
## [824,] 1.819184 30.138932
## [825,] 1.865571 49.867594
## [826,] 1.755139 48.124488
## [827,] 1.812507 92.347806
## [828,] 1.892777 61.127986
## [829,] 1.849802 40.218032
## [830,] 1.736679 52.746492
## [831,] 1.841851 39.030148
## [832,] 1.726986 46.202622
## [833,] 1.826857 61.827558
## [834,] 1.777586 52.904687
## [835,] 1.845165 62.427195
## [836,] 1.780984 45.506452
## [837,] 1.839452 104.965793
## [838,] 1.848547 47.096851
## [839,] 1.791144 67.676164
## [840,] 1.811993 31.650248
## [841,] 1.694163 57.073772
## [842,] 1.782481 107.563966
## [843,] 1.803932 44.795520
## [844,] 1.751059 79.436149
## [845,] 1.832852 51.589865
## [846,] 1.760653 71.040745
## [847,] 1.796256 35.705391
## [848,] 1.807439 90.426429
## [849,] 1.768970 53.344407
## [850,] 1.793871 133.398285
## [851,] 1.822800 117.193278
## [852,] 1.820016 87.934983
## [853,] 1.821175 49.986245
## [854,] 1.804783 52.327439
## [855,] 1.767888 87.646500
## [856,] 1.793478 38.554708
## [857,] 1.804251 53.528478
## [858,] 1.802122 84.077234
## [859,] 1.806528 50.102116
## [860,] 1.766011 24.996133
## [861,] 1.832662 50.670243
## [862,] 1.847811 124.537938
## [863,] 1.828315 118.344390
## [864,] 1.778898 41.216988
## [865,] 1.845181 82.813627
## [866,] 1.757260 14.193477
## [867,] 1.713514 57.223299
## [868,] 1.771842 45.633506
## [869,] 1.761668 39.255466
## [870,] 1.870941 105.720040
## [871,] 1.744472 40.271860
## [872,] 1.802976 56.132547
## [873,] 1.775822 56.730743
## [874,] 1.883694 64.777767
## [875,] 1.833696 112.661347
## [876,] 1.754638 39.427152
## [877,] 1.773067 56.641249
## [878,] 1.712501 18.053355
## [879,] 1.690106 16.082932
## [880,] 1.777471 49.102392
## [881,] 1.788983 73.645447
## [882,] 1.762410 57.204000
## [883,] 1.776332 104.556136
## [884,] 1.811337 80.082610
## [885,] 1.917129 54.861094
## [886,] 1.794379 48.858487
## [887,] 1.801652 90.036103
## [888,] 1.817858 109.166509
## [889,] 1.797887 158.150392
## [890,] 1.810426 86.741573
## [891,] 1.795790 44.176506
## [892,] 1.821846 93.268694
## [893,] 1.771855 52.220019
## [894,] 1.775246 117.312353
## [895,] 1.747043 52.283954
## [896,] 1.748995 24.376145
## [897,] 1.835849 31.277531
## [898,] 1.815720 44.079911
## [899,] 1.820675 85.367768
## [900,] 1.781883 40.348019
## [901,] 1.892138 66.263227
## [902,] 1.827431 22.667737
## [903,] 1.838476 22.682250
## [904,] 1.757355 55.899808
## [905,] 1.773066 49.115136
## [906,] 1.815327 126.143063
## [907,] 1.793491 63.927005
## [908,] 1.779568 64.466364
## [909,] 1.796567 53.592189
## [910,] 1.667206 18.091691
## [911,] 1.664914 36.437223
## [912,] 1.718073 65.346245
## [913,] 1.807752 58.801614
## [914,] 1.775623 18.673231
## [915,] 1.889730 21.291803
## [916,] 1.722055 74.407222
## [917,] 1.824762 36.697224
## [918,] 1.787891 42.974146
## [919,] 1.796408 97.477771
## [920,] 1.829190 51.652762
## [921,] 1.761696 35.104951
## [922,] 1.726382 36.472370
## [923,] 1.783973 39.955564
## [924,] 1.812382 26.253057
## [925,] 1.802881 23.931428
## [926,] 1.808588 117.841129
## [927,] 1.804015 47.199166
## [928,] 1.773032 127.222268
## [929,] 1.811139 30.075184
## [930,] 1.831582 47.949560
## [931,] 1.774519 94.964256
## [932,] 1.771657 147.643694
## [933,] 1.829812 110.307714
## [934,] 1.767701 41.247029
## [935,] 1.838090 20.769761
## [936,] 1.736955 55.719911
## [937,] 1.875281 69.696317
## [938,] 1.820616 63.267003
## [939,] 1.848987 81.721054
## [940,] 1.834406 94.095007
## [941,] 1.790441 99.534124
## [942,] 1.834682 64.760867
## [943,] 1.793723 39.828698
## [944,] 1.772740 60.833121
## [945,] 1.794634 103.870067
## [946,] 1.753442 112.299293
## [947,] 1.781953 121.567052
## [948,] 1.838975 50.484393
## [949,] 1.785067 59.574898
## [950,] 1.802616 18.681590
## [951,] 1.865058 38.446242
## [952,] 1.804990 38.899761
## [953,] 1.795478 82.593317
## [954,] 1.784508 37.203877
## [955,] 1.784734 69.922020
## [956,] 1.776364 71.748531
## [957,] 1.775891 59.818209
## [958,] 1.828967 28.700756
## [959,] 1.774859 50.414676
## [960,] 1.767101 43.694184
## [961,] 1.791910 29.639230
## [962,] 1.906183 78.504059
## [963,] 1.720946 20.118740
## [964,] 1.865135 24.776782
## [965,] 1.696723 29.114651
## [966,] 1.887703 55.185018
## [967,] 1.797752 46.064397
## [968,] 1.796625 134.399697
## [969,] 1.776016 24.272849
## [970,] 1.819951 57.515755
## [971,] 1.793917 27.787952
## [972,] 1.845428 64.270804
## [973,] 1.834500 64.218918
## [974,] 1.819897 57.927932
## [975,] 1.804183 65.269398
## [976,] 1.850214 34.075966
## [977,] 1.805458 129.154315
## [978,] 1.849993 111.471523
## [979,] 1.777007 61.157295
## [980,] 1.779715 62.389159
## [981,] 1.797494 90.180639
## [982,] 1.809412 77.904016
## [983,] 1.819485 24.022390
## [984,] 1.817253 59.443393
## [985,] 1.735943 31.181431
## [986,] 1.888490 56.750413
## [987,] 1.816760 76.814374
## [988,] 1.814605 31.712427
## [989,] 1.788879 115.610998
## [990,] 1.816923 56.243893
## [991,] 1.773179 30.138854
## [992,] 1.782377 40.493689
## [993,] 1.910251 50.457774
## [994,] 1.725394 55.354858
## [995,] 1.807999 131.790656
## [996,] 1.819194 53.999383
## [997,] 1.804487 43.159029
## [998,] 1.759418 37.030950
## [999,] 1.895495 28.599660
## [1000,] 1.774533 51.502036plot(x =PHI[,1],y = PHI[,2] )