ECUACIONES DIFERENCIALES ORDINARIAS CON deSolve EN R
Mariano Iriarte
2024-07-13
Entender las Ecuaciones Diferenciales Ordinarias
Para entender las ecuaciones diferenciales hay que comprender que estas reproducen en el mundo de la abstracción muchos de los fenómenos del mundo real relacionados con el tiempo, el espacio, la materia o la energía.
¿Pero que es una ecuación diferencial odinaria?
Imaginemos un sistema o un fenomeno fisico economico o social. Todo
cambio, incremento o disminución en un sistema particular (materia,
espacio, energía), que está, de alguna manera, causado o relacionado con
el nivel del sistema, decimos que puede ser descrito por una posible
ecuación diferencial. Una ecuación diferencial ordinaria, tiene una o
varias derivadas de una función desconocida. La solución consiste en
encontrar dicha función a partir de la ecuación establecida. Cojamos el
ejemplo mas sencillo: Una ecuación donde la evolución de la derivada
\(y'\) es igual a la evolución de
la función \(y(x)\) \[
y'=y
\]
Es decir que todo cambio en la evolución en \(y(x)\) corresponde a una misma evolución en su derivada \(y'\). Se trata entonces, y en este caso, de encontrar esta función \(y(x)\) que sea igual a su derivada.
Dicho en lenguaje matemático: en una ecuación diferencial ordinaria la tasa de cambio o la derivada de una función esta relacionada con dicha función y la solución es la identificación de la función o una familia de funciones.
Para la utilización de Ecuaciones Diferenciales en la
conceptualización de leyes o de fenómenos, se deben recorrer varios
pasos: 1) Establecer la ecuación que define el modelo,
2) Encontrar la solución general: encontrar la función que da la
solución,
3) Encontrar la solución particular estableciendo las condiciones
iniciales, los limites y los valores de las constantes,
4) Verificar por la experiencia que el modelo reproduce
matematicamente los datos de la realidad.
Si se llega a establecer matemáticamente la función que relaciona las tasas de cambio (derivadas) y el sistema que lo origina, habremos encontrado la solución que explica el modelo.
Un ejemplo sencillo
En el caso de una propagación de una plaga, o la multiplicación de
bacterias, o la propagación de una información (sin ninguna restricción
en este ejemplo), en primer lugar se debe establecer el modelo, el cual
relaciona la derivada con su función.
En este caso: “toda tasa de cambio en el sistema (es decir la derivada)
es proporcional al nivel en que el sistema se encuentra”.
Matemáticamente se enuncia de la manera siguiente en el caso en que la
dependencia es de proporcionalidad:
\[ y'=\frac{dy}{dx}\\ \mathbf {\frac{dy}{dx}= k y } \]
Siendo \(y\) el nivel del sistema y
\(k\) la tasa de crecimiento o de
decrecimiento. La solución consiste en encontrar la función \(y\), o la familia de funciones \(y\), por distintos valores de \(k\). En este ejemplo su solución es
separando las variables e integrando los dos lados. \[
Separamos\ las\ variables:\frac{dy}{y}=k\ dx\\ Resolvemos\ las\
integrales :\int\frac{dy}{y}=k\int dx\ =>\ ln\ y=k\ x+C\ =>\
e^{ln\ y} =\ e^{kx+C}=>\\
y=\ e^{kx}e^{C}\\
Solucion:\ \mathbf{\\y=C_1\ e^{kx}}\\
\] Siendo \(C\) la constante de
integración, \(C_1\) la cantidad
inicial, \(x\) es el tiempo y la
variable independiente y \(k\) es la
tasa de crecimiento o decrecimiento. En función de diferentes valores de
\(k\) la solución puede ser una familia
de curvas.
Para ejemplarizar lo dicho, atribuimos a \(k\) los valores de -0.1, y 0.05, sobre un
tiempo \(x\) de 100 meses o años y con
una cantidad inicial \(C_1\)=50
x<-seq(0,100,1)
k<-c(-0.1, 0.05)
k<- data.frame(k)
C<-50
y1 <- (C*exp((k[1,])*x))
y2<-(C*exp((k[2,])*x))
library(patchwork)
plot(y1,col='blue',line=TRUE,size=0.5, add = TRUE, xlab=" ",
axes=FALSE)
axis(1, at = c(0, 100))
axis(2, at = c( 0, 50))
mtext("con k=-0.1",side=2)
par(new=TRUE)
plot(y2,col='green',size=0.5, line=TRUE, add = TRUE, axes=FALSE,xlab="tiempo", ylab=" ")
#axis(2, at = c( 50, 8000))
axis(4, at=c(50, 10000))
# Etiqueta del eje
mtext("y2 con k=0,05", side = 4)
Otro ejemplo
Tenemos un deposito que contiene inicialmente 50 litros de agua, con un grifo de entrada que permite vertir de manera continua 2 litros de agua por minuto y un grifo de salida que permite sacar 3 litros de agua por minuto.
Si definimos el modelo, podemos decir que el cambio de volumen de agua en el deposito depende del tiempo (y’).
\[ y'=\frac{dy}{dt} \]
La tasa de cambio en un intervalo de tiempo dado sera la diferencia entre el volumen de entrada y volumen de salida en ese intervalo: \[ \frac{dy}{dt}= volumen\ de\ entrada - volumen\ de\ salida = 2-3\\ \frac{dy}{dt}= -1\\ dy=-1dt \]
La solución de esta ecuación diferencial es la integración de los dos lados, sin olvidar que el deposito contaba inicalment con 50 litros. \[ \int\ dy = \int\ -dt;\\ y = -t +C\\ La\ solucion\ es\ una\ recta: y=50-t \]
La solucion es lineal y muestra que el deposito estará vacio al cabo de 50 minutos
x=c(0:50)
plot(-x+50, type="l",xlim=c(0,50),ylim=c(0,50))
Ecuaciones diferenciales lineales de primer orden
Cojamos el ejemplo anterior con los mismos parámetros pero en lugar de entrar agua pura al deposito entra una solución salina de 2 kilos de sal por un litro de agua. La pregunta que nos hacemos es: ¿Cuanta sal hay en el deposito en función del tiempo?
Establezcamos el modelo: La tasa de cambio de sal en el deposito (derivada) dependerá de la sustracción entre cantidad de entrada de sal y la cantidad de salida de sal.
\[ \frac{dy}{dt}= Sal.entrante - sal.saliente\\ Sal.entrante =\frac{2kg}{l}\ *\frac{2l}{min}=\frac{4kg}{min};\\ Volumen.entrante.de.sal.por.tiempo = 4t\\ \]
El problema reside en que la cantidad de sal saliente no se conoce y depende del porcentaje de sal en el deposito y del volumen entrante y saliente.
\[ Sal.saliente= \frac{Cantidad.de.sal.en.el.deposito}{Cantidad.total.liquido}*\frac{3l}{min}= \frac{y}{50+2t-3t}*3= 3 \frac{y}{50-t}\\ Volumen.saliente.de.sal= 3\frac{y}{50-t}*t\\ \]
\[ La\ derivada\ sera:\\ y'=\frac{dy}{dt}=4-3\frac{y}{50-t}=>(4-3\frac{y}{50-t})\\ y'+3\frac{y}{50-t}=4\\ y'+\frac{3}{50-t}y-4=0\\ \frac{dy}{dt}+\frac{3}{50-t}y-4=0\\ \] Esta ecuacion a la que hemos llegado es una ecuacion lineal de primer orden donde \(P\) y \(Q\) son funciones de \(t\): \[ y'+ P(t)y=Q(t)\\ P(t)= \frac{3}{50-t}\\ Q(t)= 4 \] El camino mas facil de resolucion es del de aplicar la formula siguiente: \[ y = \frac {\int Q(t) e^{\int P(t)}dt}{e^{\int P(t)}} \]
\[ Resolvemos\ la\ integral:\\ e^{ \int P(t)}dt \\ \int P(t)dt = 3 \int \frac {1}{50-t}dt\\ Cambio\ de\ variable:\ u=(50-x);\ u'=-dt\\ 3\int\frac {1}{50-x}dt=> -3\int \frac {1}{u}du = -3\ ln|u| \\ y = \frac {\int Q(t) e^{\int P(t)}}{e^{\int P(t)}}dt= 4\frac {\int e^{-3 ln(50-t)}}{e^{-3 ln(50-t)}}dt=4\frac {\int e^{ln(50-t)^{-3}}}{e^{ ln(50-t)^{-3}}}dt= 4\frac {\int (50-t)^{-3}}{(50-t)^{-3}}dt = \frac {2 (50-t)^{2}+k}{(50-t)^{-3}}\\ y =2 (50-t)+(50-t)^{3}k\\ Por\ t=0;\ y=0 \\ k=2(50-0)(50-0)^{-3}=2 *50*50^{-3}=2*50^{-2} =0.0008 \]
\[ y =2 (50-t)+\frac {8*10^{-4}} {(50-t)^{-3}}= 8*10^{-4}*(50-t)^{3}+100-2t\\ \]
t<-c(0:60)
y<- -(8*10^-4)*(50-t)^3+100-2*t
plot(y,xlim=c(0,60), ylim=c(0,50),type ='l',col='blue',lty=6,lwd=2,
xaxt = "n")
axis(1, at = seq(round(min(x)),
round(max(x)), by = 1))
Solucion de la ecuacion diferencial lineal de primer orden con deSolve
\[ \frac{dy}{dt}+\frac{3}{50-t}y-4=0\\ \]
t<-seq(0,80,0.5) #tiempo
k<-0.0008library(deSolve)
library(tidyverse)
library(GGally)
library(fda)
theme_set(theme_bw())library(deSolve)
model <-function(t,Y,k) {
with(as.list(k),{
dy=-3*Y/(50-t)+4
list(dy)
})
}
jaco<- function(t,Y,k) {
with(as.list(k), {
PD[1, 1] <-k
#PD[1,2]<-P
retourn(PD)
})
}
times <-seq(0, 70, by=1)
params <-c(k=0.0008)
Y0 <-c(0)
PD <-matrix(0, nrow=1,ncol=1)
salida_atome<-ode(Y0, times = times,func = model, parms =params,jacfun=jaco)
#salida_atome<- ode(Y0,times, model, parms = params, jacfun=jaco)salida_atome[0:51,]## time 1
## [1,] 0 0.000000e+00
## [2,] 1 3.880801e+00
## [3,] 2 7.526401e+00
## [4,] 3 1.094160e+01
## [5,] 4 1.413120e+01
## [6,] 5 1.710000e+01
## [7,] 6 1.985280e+01
## [8,] 7 2.239440e+01
## [9,] 8 2.472960e+01
## [10,] 9 2.686320e+01
## [11,] 10 2.880000e+01
## [12,] 11 3.054480e+01
## [13,] 12 3.210240e+01
## [14,] 13 3.347760e+01
## [15,] 14 3.467520e+01
## [16,] 15 3.570000e+01
## [17,] 16 3.655680e+01
## [18,] 17 3.725040e+01
## [19,] 18 3.778560e+01
## [20,] 19 3.816720e+01
## [21,] 20 3.840000e+01
## [22,] 21 3.848880e+01
## [23,] 22 3.843840e+01
## [24,] 23 3.825360e+01
## [25,] 24 3.793920e+01
## [26,] 25 3.750000e+01
## [27,] 26 3.694080e+01
## [28,] 27 3.626640e+01
## [29,] 28 3.548160e+01
## [30,] 29 3.459120e+01
## [31,] 30 3.360000e+01
## [32,] 31 3.251280e+01
## [33,] 32 3.133440e+01
## [34,] 33 3.006960e+01
## [35,] 34 2.872320e+01
## [36,] 35 2.730000e+01
## [37,] 36 2.580480e+01
## [38,] 37 2.424240e+01
## [39,] 38 2.261760e+01
## [40,] 39 2.093520e+01
## [41,] 40 1.920000e+01
## [42,] 41 1.741680e+01
## [43,] 42 1.559040e+01
## [44,] 43 1.372560e+01
## [45,] 44 1.182720e+01
## [46,] 45 9.900000e+00
## [47,] 46 7.948800e+00
## [48,] 47 5.978400e+00
## [49,] 48 3.993600e+00
## [50,] 49 1.999200e+00
## [51,] 50 1.554090e-12plot_data <- data.frame(salida_atome) %>%
rename(numerico=X1) %>%
mutate(analitico= -(0.0008*(50-time)^(3))+100-2*time) %>%
pivot_longer(cols=time,
names_to = "type",
values_to = "y")
plot_data## # A tibble: 71 × 4
## numerico analitico type y
## <dbl> <dbl> <chr> <dbl>
## 1 0 0 time 0
## 2 3.88 3.88 time 1
## 3 7.53 7.53 time 2
## 4 10.9 10.9 time 3
## 5 14.1 14.1 time 4
## 6 17.1 17.1 time 5
## 7 19.9 19.9 time 6
## 8 22.4 22.4 time 7
## 9 24.7 24.7 time 8
## 10 26.9 26.9 time 9
## # ℹ 61 more rowsggplot(plot_data,aes(x=y,y=numerico),color=analitico)+
geom_line(color ='blue')+
ylim(0,70)## Warning: Removed 20 rows containing missing values or values outside the scale range
## (`geom_line()`).
Vemos que la solucion numerica encontrada por deSolve se sobrepone a la
solucion analitica encontrada precedentemente.
ECUACION DIFERENCIAL ORDINARIA DE LA FUNCION LOGISTICA
La funcion logistica es de gran utilidad para modelizar ciertos
fenomenos como por ejemplo el aprendizaje, o crecimientos en mercados o
en poblaciones con limites de saturacion.
La ecuación diferencial para la curva del aprendizaje no sigue una forma
estándar como las ecuaciones diferenciales tradicionales. La curva del
aprendizaje generalmente se describe mediante una función matemática
específica que relaciona el rendimiento (generalmente en términos de
errores o precisión) con la cantidad de experiencia o datos de
entrenamiento.
Una función comúnmente utilizada para modelar la curva de aprendizaje en el contexto del aprendizaje automático es la función sigmoidal, que se asemeja a la forma de una “S”. Esta función puede expresarse de varias maneras, pero una de las más comunes es la función logística:
\[ f(x) = \frac{1}{1 + e^{-k(x - x_0)}} \]
Donde:
\((f(x))\) es el rendimiento o la precisión. \((x)\) es la cantidad de experiencia o datos de entrenamiento.
\((k)\) controla la pendiente de la curva o la tasa de cambio.
\((x_0)\) es el punto en el que la curva alcanza su valor medio.
Esta ecuación no es una ecuación diferencial en el sentido tradicional, pero es una forma de modelar cómo mejora el rendimiento a medida que se acumula más experiencia o datos de entrenamiento en un proceso de aprendizaje.
Para un problema particular de aprendizaje automático, se necesitará adaptarla a tu situación específica y a los datos disponibles.
Estudio de la curva de aprendizaje
El modelo es como el primer ejemplo con la diferencia de que se establece un parametro limitador o tambien llamado ‘capacidad de carga’. Sea ‘m’ la capacidad de carga de un organismo o sistema particular en un entorno dado ‘r’ es el numero real que representa la tasa de crecimiento. La funcion ‘P(t)’ representa la poblacion del organismo en funcion del tiempo ‘t’ y la constante ‘P(0)’ representa la poblacion inicial en el tiempo t=0 La ecuacion diferencial logistica es entonces:
\[ \frac{dP}{dt}=rP(1-\frac{P}{m}) \]
\[ \frac{dP}{dt}=rP(1-\frac{P}{m}) =>\frac{dP}{P(1-\frac{P}{m})}=r\ dt \ =>\ \int\frac{1}{P(1-\frac{P}{m})}dP =\int r\ dt\\ \int\frac{1}{P(\frac{m}{m}-\frac{P}{m})}dP =\int r\ dt\\ =>\frac{1}{m}\int\frac{1}{P(m-P)}dP =\int r\ dt\\=>\frac{1}{m}\int\frac{1}{P}+\frac{1}{(m-P)}dP =\int r\ dt\\ m\ln|P|+m\ ln({m}-{P})|=r\ t +C\\ e^{ln|P(m-P)|} = \frac{e^{r\ t +C}}{m}=>\\ \]
\[ P(m-P) = C_1 \frac{e^{r\ t}}{m}\\ => P = C_1(m-P) \frac{e^{r\ t}}{m}=>P => C_1m \frac{e^{r\ t}}{m}-C_1P \frac{e^{r\ t}}{m}=>\\ P+C_1P \frac{e^{r\ t}}{m}= C_1 e^{r\ t}=>\\ P(1+C_1 \frac{e^{r\ t}}{m})= C_1 e^{r\ t}=>\\ \mathbf{P=\frac{ C_1 e^{r\ t}}{(1+C_1 \frac{e^{r\ t}}{m})}} \]
t<-c(0:100)
m<-500
r<-0.1
C<-30
y<-(C*exp(r*t))/(1+C*(exp(r*t)/m))
plot(y,type = "l",xlab="tiempo",col='blue',ylim=c(0,520))
Resolución de la ecuación logistica con deSolve
\[ \frac{dP}{dt}=rP(1-\frac{P}{m}) \]
#t: temps, Y: Poblacion, K: tasa de crecimiento, m:capacidad de carga
library(deSolve)
model <-function(t,Y,k,m) {
with(as.list(k),{
dy=k*Y*(1-(Y/m))
list(dy)
})
}
jaco<- function(t,Y,k,m) {
with(as.list(k), {
PD[1, 1] <-k
PD[1,2]<-m
retourn(PD)
})
}
m<-500
k<-0.1
times <-seq(0, 100, by=1)
params <-c(k=0.1,m=500)
Y0 <-c(30)
PD <-matrix(0, nrow=1,ncol=1)
salida_atome<-ode(Y0, times = times,func = model, parms =params,jacfun=jaco)
#'ode' es la funcion par la solucion de la ecuacion diferencialplot_data <- data.frame(salida_atome)
plot_data## time X1
## 1 0 30.00000
## 2 1 32.94722
## 3 2 36.16170
## 4 3 39.66317
## 5 4 43.47190
## 6 5 47.60854
## 7 6 52.09389
## 8 7 56.94863
## 9 8 62.19297
## 10 9 67.84631
## 11 10 73.92677
## 12 11 80.45072
## 13 12 87.43225
## 14 13 94.88262
## 15 14 102.80966
## 16 15 111.21716
## 17 16 120.10430
## 18 17 129.46511
## 19 18 139.28799
## 20 19 149.55535
## 21 20 160.24334
## 22 21 171.32173
## 23 22 182.75404
## 24 23 194.49779
## 25 24 206.50498
## 26 25 218.72272
## 27 26 231.09414
## 28 27 243.55940
## 29 28 256.05679
## 30 29 268.52396
## 31 30 280.89918
## 32 31 293.12250
## 33 32 305.13696
## 34 33 316.88955
## 35 34 328.33210
## 36 35 339.42194
## 37 36 350.12239
## 38 37 360.40306
## 39 38 370.23990
## 40 39 379.61510
## 41 40 388.51691
## 42 41 396.93918
## 43 42 404.88095
## 44 43 412.34587
## 45 44 419.34166
## 46 45 425.87947
## 47 46 431.97332
## 48 47 437.63952
## 49 48 442.89615
## 50 49 447.76257
## 51 50 452.25897
## 52 51 456.40602
## 53 52 460.22452
## 54 53 463.73512
## 55 54 466.95812
## 56 55 469.91327
## 57 56 472.61961
## 58 57 475.09542
## 59 58 477.35808
## 60 59 479.42407
## 61 60 481.30894
## 62 61 483.02725
## 63 62 484.59265
## 64 63 486.01785
## 65 64 487.31467
## 66 65 488.49406
## 67 66 489.56614
## 68 67 490.54027
## 69 68 491.42505
## 70 69 492.22838
## 71 70 492.95753
## 72 71 493.61916
## 73 72 494.21935
## 74 73 494.76369
## 75 74 495.25727
## 76 75 495.70472
## 77 76 496.11029
## 78 77 496.47784
## 79 78 496.81088
## 80 79 497.11261
## 81 80 497.38595
## 82 81 497.63353
## 83 82 497.85776
## 84 83 498.06083
## 85 84 498.24472
## 86 85 498.41123
## 87 86 498.56198
## 88 87 498.69847
## 89 88 498.82204
## 90 89 498.93390
## 91 90 499.03515
## 92 91 499.12681
## 93 92 499.20977
## 94 93 499.28487
## 95 94 499.35283
## 96 95 499.41435
## 97 96 499.47002
## 98 97 499.52041
## 99 98 499.56601
## 100 99 499.60727
## 101 100 499.64462plot_data <- data.frame(salida_atome) %>%
rename(numerico=X1) %>%
mutate(analitico= (Y0*exp(k*times))/(1+(Y0*exp(k*times)/m))) %>%
pivot_longer(cols=time,
names_to = "type",
values_to = "x")
plot_data## # A tibble: 101 × 4
## numerico analitico type x
## <dbl> <dbl> <chr> <dbl>
## 1 30 28.3 time 0
## 2 32.9 31.1 time 1
## 3 36.2 34.1 time 2
## 4 39.7 37.5 time 3
## 5 43.5 41.1 time 4
## 6 47.6 45.0 time 5
## 7 52.1 49.3 time 6
## 8 56.9 53.9 time 7
## 9 62.2 58.9 time 8
## 10 67.8 64.3 time 9
## # ℹ 91 more rowsggplot(plot_data,aes(x=x,y=numerico),color=analitico)+
geom_line(color ='blue')+
ylim(0,500)
RESOLUCION DE ECUACIONES DIFERENCIALES ORDINARIAS CON R
Para resolver EDO con r se instala la libreria ‘deSolve’
Vamos a resolver la ecuacion diferencial : \[ y'=ay \] con la condicion inicial y(0)=y_0
Preparamos la funcion: el modelo contiene la ecuacion base ‘parametros guarda los parametros del modelo, en este caso ’a’
modelo <-function(t,Y, a) {
with(as.list(a),{
dy=a*Y
list(dy)
})
}se informa el jacobino \[ \frac{\partial y'}{\partial y} \]
jac<- function(t, Y, a) {
with(as.list(a), {
PD[1, 1] <-a
retourn(PD)
})
}Ya podemos resolver la EDO con ‘a=1’ e y_0=1 en el intervalo [0,1 y con un pqso de longitud ‘o.o1’
params <-c(a=0.2)
y0 <-c(10)
times <-seq(0, 8, by=0.01)
PD <-matrix(0, nrow=1,ncol=1)
out_atome<- ode(y0,times, modelo, parms = params, jacfun=jac)plot_data <- data.frame(out_atome) %>%
rename(numeric=X1) %>%
mutate(analityc=y0*exp(0.196*time)) %>% #modifico un poco 'a' para que se vean las dos lineas
pivot_longer(cols=-time,
names_to = "type",
values_to = "y")
ggplot(plot_data,aes(x=time,y=y,color=type))+
geom_line()+
ylim(0,75)+
theme(legend.position =c(0.95, 0.95),
legend.justification =c(1,1),
legend.background=element_rect((fill =NA)))## Warning: A numeric `legend.position` argument in `theme()` was deprecated in ggplot2
## 3.5.0.
## ℹ Please use the `legend.position.inside` argument of `theme()` instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.
diagnostics(out_atome)##
## --------------------
## lsoda return code
## --------------------
##
## return code (idid) = 2
## Integration was successful.
##
## --------------------
## INTEGER values
## --------------------
##
## 1 The return code : 2
## 2 The number of steps taken for the problem so far: 802
## 3 The number of function evaluations for the problem so far: 822
## 5 The method order last used (successfully): 5
## 6 The order of the method to be attempted on the next step: 5
## 7 If return flag =-4,-5: the largest component in error vector 0
## 8 The length of the real work array actually required: 36
## 9 The length of the integer work array actually required: 21
## 14 The number of Jacobian evaluations and LU decompositions so far: 0
## 15 The method indicator for the last succesful step,
## 1=adams (nonstiff), 2= bdf (stiff): 1
## 16 The current method indicator to be attempted on the next step,
## 1=adams (nonstiff), 2= bdf (stiff): 1
##
## --------------------
## RSTATE values
## --------------------
##
## 1 The step size in t last used (successfully): 0.01
## 2 The step size to be attempted on the next step: 0.01
## 3 The current value of the independent variable which the solver has reached: 8.00002
## 4 Tolerance scale factor > 1.0 computed when requesting too much accuracy: 0
## 5 The value of t at the time of the last method switch, if any: 0
## Otro ejemplo con le mismo tipo de EDO:
\[ y'(t)=3y(t)\\ Con: \ y(0)=1, sobre\ [0,8] \]
modelo <- function(t, y, a){
with(as.list(a),{
dy=a*y
list(dy)
})
}La funcion ode resuelve la EDO con cuatro elementos: el modelo conteniendo el algoritmo, el tiempo, la condicion inicial y la tasa.
tiempo<-seq(0, 80, 0.2) # el tiempo va de 0 a 80 y no un paso de 0.2
y0<-c(10) # las condiciones iniciales o la poblacion de inicio
a<-0.1 #a tasa de crecimiento
solucion <-ode(y=y0, times = tiempo,func = modelo, parms =a)
print(solucion[1:5,])## time 1
## [1,] 0.0 10.00000
## [2,] 0.2 10.20202
## [3,] 0.4 10.40812
## [4,] 0.6 10.61838
## [5,] 0.8 10.83288plot(solucion,lty=2,col='blue',lwd=3)
curve(y0*exp(a*x),0,100,add=T,col='red',lty=1)
Solucion de la funcion logistica inicial con deSolve
\[ \frac{dP}{dt}=rP(1-\frac{P}{m})\\ \mathbf{P=\frac{ C_1 e^{r\ t}}{(1+C_1 \frac{e^{r\ t}}{m})}} \]
t<-seq(0,100,0.5) #tiempo
m<-500
r<-0.1
C<-30
y<-(C*exp(r*t))/(1+C*(exp(r*t)/m))
plot(y,type = "l",xlab="tiempo",col='blue',ylim=c(0,520))
model <-function(t,Y,r,m) {
with(as.list(r),{
dy=r*Y*(1-(Y/m))
list(dy)
})
}
jaco<- function(t,Y,r,m) {
with(as.list(r), {
PD[1, 1] <-r
#PD[1,2]<-P
retourn(PD)
})
}
times <-seq(0, 100, by=0.5)
params <-c(r=0.1,m=500)
Y0 <-c(10)
PD <-matrix(0, nrow=1,ncol=1)
salida_atome<-ode(Y0, times = times,func = model, parms =params,jacfun=jaco)
#salida_atome<- ode(Y0,times, model, parms = params, jacfun=jaco)salida_atome[0:5,]## time 1
## [1,] 0.0 10.00000
## [2,] 0.5 10.50195
## [3,] 1.0 11.02851
## [4,] 1.5 11.58086
## [5,] 2.0 12.16018#P=P*(exp(r*t))/(1+P*(exp(r*t)/m))
P<-c(0,8000)
plot_data <- data.frame(salida_atome) %>%
rename(numerico=X1) %>%
mutate(analitico=(P*exp(r*t))/(1+P*(exp(r*t)/m))) %>%
pivot_longer(cols=-time,
names_to = "type",
values_to = "y")## Warning: There were 2 warnings in `mutate()`.
## The first warning was:
## ℹ In argument: `analitico = (P * exp(r * t))/(1 + P * (exp(r * t)/m))`.
## Caused by warning in `P * exp(r * t)`:
## ! longer object length is not a multiple of shorter object length
## ℹ Run `dplyr::last_dplyr_warnings()` to see the 1 remaining warning.ggplot(plot_data,aes(x=time,y=y,color=type))+
geom_line()+
ylim(0,500)+
theme(legend.position =c(0.95, 0.95),
legend.justification =c(1,1),
legend.background=element_rect((fill =NA)))
Vemos que la solucion numerica encontrada por deSolve en verde se
sobrepone a la solucion analitica encontrada precedentemente.
RESOLUCION DE UN SISTEMA DINAMICO ADMOSFERICO. MODELO LORENZ
Se modelisan las variaciones atmosfericas. con los ejes X, Y y Z que representan las variaciones verticales y horizontales y el flujo de cenveccion.
\[ \left\{ \begin{align} X' &= aX + YZ \\ Y' &= b(Y-Z) \\ Z' &= -XY + cY -Z \\ \end{align} \right. \]
times <- seq(0, 100, by = 0.01)
a <- -8/3
b <- -10
c <- 29
lorenz <- function(t, y, parms) {
with(as.list(y), {
dX <- a * X + Y * Z
dY <- b * (Y - Z)
dZ <- -X * Y + c * Y - Z
list(c(dX, dY, dZ))
})
}
out_lorenz <- ode(y = c(X = 1, Y = 1, Z = 1), times = times, func = lorenz, parms = NULL)
df_lorenz <-
out_lorenz %>%
as_tibble() %>%
mutate_all(as.numeric)
df_lorenz[0:5,]## # A tibble: 5 × 4
## time X Y Z
## <dbl> <dbl> <dbl> <dbl>
## 1 0 1 1 1
## 2 0.01 0.985 1.01 1.27
## 3 0.02 0.973 1.05 1.54
## 4 0.03 0.966 1.11 1.83
## 5 0.04 0.963 1.19 2.13ggpairs(df_lorenz,
lower = list(continuous = wrap("points", size = 0.01)))
ggplot(df_lorenz,aes(x=Y,y=Z))+
geom_point(shape = 18, color = "blue", size = 0.5)+
ylim(-25,30)
# theme(legend.position =c(0.95, 0.95),
# legend.justification =c(1,1),
# legend.background=element_rect((fill =NA)))Otras formulaciones de la ecuacion de Lorenz
solveLorenz <- function(pars, times=tout) {
derivs <- function(t, state, pars) { # returns rate of change
with(as.list(c(state, pars)), {
dX <- A*X + Y*Z
dY <- B * (Y-Z)
dZ <- -X*Y +C*Y -Z
return( list(c(dX, dY, dZ)))
}
)
}
state <- c(X = 34.848292, Y = 14.331027983, Z = 14.327178391) # originally X = 1, Y = 1, Z = 1
## ode solves the model by integration...
return(ode(y = state, times = times, func = derivs, parms = pars))
}
tout<-seq(0, 100, by = .01)
guess_pars<-c(A = -8/3, B = -10, C = 28)
alpha<-0.3
guess <- as.data.frame(solveLorenz(guess_pars, tout))
a<- ggplot(guess,aes(X, Y, col=Z))
a+ geom_path(lineend = "butt", linejoin = "round", linemitre = 1)
tout<-seq(0, 100, by = .01)
guess_pars1<-c(A = -8/3, B = -10, C = 23)
alpha<-0.3
guess1 <- as.data.frame(solveLorenz(guess_pars1, tout))
print(guess1)## time X Y Z
## 1 0.00 34.848292 14.331027983 1.432718e+01
## 2 0.01 35.819710 14.239551697 1.242589e+01
## 3 0.02 36.471123 13.971748740 1.045165e+01
## 4 0.03 36.796926 13.540934344 8.476164e+00
## 5 0.04 36.812327 12.965817038 6.566636e+00
## 6 0.05 36.549427 12.269252566 4.779733e+00
## 7 0.06 36.051702 11.476630691 3.157696e+00
## 8 0.07 35.368155 10.614187992 1.727003e+00
## 9 0.08 34.548014 9.707443466 4.991087e-01
## 10 0.09 33.636700 8.779939055 -5.272667e-01
## 11 0.10 32.673276 7.852361351 -1.363076e+00
## 12 0.11 31.689287 6.942047737 -2.025756e+00
## 13 0.12 30.708700 6.062831205 -2.536358e+00
## 14 0.13 29.748575 5.225145632 -2.917244e+00
## 15 0.14 28.820136 4.436311216 -3.190402e+00
## 16 0.15 27.929971 3.700923290 -3.376357e+00
## 17 0.16 27.081188 3.021284197 -3.493547e+00
## 18 0.17 26.274435 2.397835603 -3.558056e+00
## 19 0.18 25.508722 1.829561749 -3.583600e+00
## 20 0.19 24.782069 1.314347967 -3.581650e+00
## 21 0.20 24.091979 0.849289650 -3.561645e+00
## 22 0.21 23.435765 0.430948243 -3.531247e+00
## 23 0.22 22.810772 0.055559254 -3.496592e+00
## 24 0.23 22.214513 -0.280803678 -3.462532e+00
## 25 0.24 21.644741 -0.582102137 -3.432860e+00
## 26 0.25 21.099483 -0.852238189 -3.410501e+00
## 27 0.26 20.577049 -1.094986063 -3.397686e+00
## 28 0.27 20.076019 -1.313945166 -3.396089e+00
## 29 0.28 19.595224 -1.512510156 -3.406957e+00
## 30 0.29 19.133724 -1.693854462 -3.431204e+00
## 31 0.30 18.690785 -1.860924111 -3.469500e+00
## 32 0.31 18.265857 -2.016439387 -3.522337e+00
## 33 0.32 17.858555 -2.162902195 -3.590084e+00
## 34 0.33 17.468647 -2.302607461 -3.673032e+00
## 35 0.34 17.096036 -2.437657208 -3.771433e+00
## 36 0.35 16.740761 -2.569976205 -3.885518e+00
## 37 0.36 16.402985 -2.701328330 -4.015526e+00
## 38 0.37 16.082998 -2.833332955 -4.161710e+00
## 39 0.38 15.781216 -2.967480802 -4.324353e+00
## 40 0.39 15.498186 -3.105148839 -4.503764e+00
## 41 0.40 15.234595 -3.247613872 -4.700280e+00
## 42 0.41 14.991270 -3.396064506 -4.914262e+00
## 43 0.42 14.769198 -3.551611241 -5.146083e+00
## 44 0.43 14.569530 -3.715294429 -5.396114e+00
## 45 0.44 14.393594 -3.888089884 -5.664705e+00
## 46 0.45 14.242908 -4.070911874 -5.952160e+00
## 47 0.46 14.119194 -4.264613220 -6.258708e+00
## 48 0.47 14.024384 -4.469982210 -6.584465e+00
## 49 0.48 13.960631 -4.687735972 -6.929391e+00
## 50 0.49 13.930310 -4.918509965 -7.293238e+00
## 51 0.50 13.936020 -5.162843204 -7.675491e+00
## 52 0.51 13.980573 -5.421158813 -8.075299e+00
## 53 0.52 14.066969 -5.693739367 -8.491402e+00
## 54 0.53 14.198365 -5.980697155 -8.922041e+00
## 55 0.54 14.378019 -6.281938893 -9.364871e+00
## 56 0.55 14.609218 -6.597124891 -9.816867e+00
## 57 0.56 14.895167 -6.925623144 -1.027423e+01
## 58 0.57 15.238866 -7.266459184 -1.073230e+01
## 59 0.58 15.642936 -7.618263062 -1.118548e+01
## 60 0.59 16.109416 -7.979215616 -1.162719e+01
## 61 0.60 16.639530 -8.346997116 -1.204988e+01
## 62 0.61 17.233418 -8.718742346 -1.244503e+01
## 63 0.62 17.889845 -9.091007283 -1.280329e+01
## 64 0.63 18.605918 -9.459753445 -1.311468e+01
## 65 0.64 19.376807 -9.820356727 -1.336886e+01
## 66 0.65 20.195524 -10.167647681 -1.355554e+01
## 67 0.66 21.052790 -10.495989636 -1.366493e+01
## 68 0.67 21.937007 -10.799399447 -1.368834e+01
## 69 0.68 22.834407 -11.071712850 -1.361877e+01
## 70 0.69 23.729360 -11.306792411 -1.345151e+01
## 71 0.70 24.604887 -11.498771084 -1.318471e+01
## 72 0.71 25.443342 -11.642318981 -1.281977e+01
## 73 0.72 26.227227 -11.732915852 -1.236161e+01
## 74 0.73 26.940089 -11.767107303 -1.181860e+01
## 75 0.74 27.567396 -11.742723011 -1.120232e+01
## 76 0.75 28.097316 -11.659034754 -1.052700e+01
## 77 0.76 28.521314 -11.516837545 -9.808794e+00
## 78 0.77 28.834498 -11.318443427 -9.064856e+00
## 79 0.78 29.035690 -11.067587766 -8.312408e+00
## 80 0.79 29.127220 -10.769255771 -7.567839e+00
## 81 0.80 29.114498 -10.429445816 -6.845934e+00
## 82 0.81 29.005406 -10.054890599 -6.159296e+00
## 83 0.82 28.809612 -9.652760167 -5.517983e+00
## 84 0.83 28.537863 -9.230370139 -4.929375e+00
## 85 0.84 28.201327 -8.794914511 -4.398234e+00
## 86 0.85 27.811044 -8.353237618 -3.926922e+00
## 87 0.86 27.377484 -7.911653691 -3.515726e+00
## 88 0.87 26.910250 -7.475818135 -3.163232e+00
## 89 0.88 26.417890 -7.050648076 -2.866734e+00
## 90 0.89 25.907826 -6.640287465 -2.622604e+00
## 91 0.90 25.386353 -6.248110552 -2.426639e+00
## 92 0.91 24.858702 -5.876754411 -2.274347e+00
## 93 0.92 24.329146 -5.528173544 -2.161184e+00
## 94 0.93 23.801111 -5.203708886 -2.082729e+00
## 95 0.94 23.277308 -4.904164217 -2.034817e+00
## 96 0.95 22.759853 -4.629886634 -2.013620e+00
## 97 0.96 22.250380 -4.380844625 -2.015703e+00
## 98 0.97 21.750137 -4.156702719 -2.038047e+00
## 99 0.98 21.260078 -3.956890233 -2.078049e+00
## 100 0.99 20.780929 -3.780662911 -2.133513e+00
## 101 1.00 20.313247 -3.627157165 -2.202628e+00
## 102 1.01 19.857471 -3.495436679 -2.283938e+00
## 103 1.02 19.413957 -3.384531787 -2.376314e+00
## 104 1.03 18.983009 -3.293472065 -2.478920e+00
## 105 1.04 18.564904 -3.221312758 -2.591181e+00
## 106 1.05 18.159911 -3.167155717 -2.712754e+00
## 107 1.06 17.768305 -3.130165552 -2.843496e+00
## 108 1.07 17.390384 -3.109581649 -2.983444e+00
## 109 1.08 17.026480 -3.104726687 -3.132785e+00
## 110 1.09 16.676968 -3.115012212 -3.291838e+00
## 111 1.10 16.342278 -3.139941754 -3.461035e+00
## 112 1.11 16.022906 -3.179111917 -3.640904e+00
## 113 1.12 15.719424 -3.232211774 -3.832050e+00
## 114 1.13 15.432492 -3.299020844 -4.035143e+00
## 115 1.14 15.162869 -3.379405834 -4.250901e+00
## 116 1.15 14.911427 -3.473316283 -4.480077e+00
## 117 1.16 14.679162 -3.580779147 -4.723441e+00
## 118 1.17 14.467214 -3.701892319 -4.981765e+00
## 119 1.18 14.276875 -3.836816998 -5.255800e+00
## 120 1.19 14.109610 -3.985768753 -5.546256e+00
## 121 1.20 13.967067 -4.149007069 -5.853774e+00
## 122 1.21 13.851098 -4.326823091 -6.178894e+00
## 123 1.22 13.763766 -4.519525238 -6.522016e+00
## 124 1.23 13.707359 -4.727422294 -6.883358e+00
## 125 1.24 13.684396 -4.950803344 -7.262903e+00
## 126 1.25 13.697623 -5.189914394 -7.660334e+00
## 127 1.26 13.750010 -5.444930966 -8.074971e+00
## 128 1.27 13.844730 -5.715926177 -8.505687e+00
## 129 1.28 13.985118 -6.002833901 -8.950823e+00
## 130 1.29 14.174624 -6.305406775 -9.408091e+00
## 131 1.30 14.416731 -6.623168973 -9.874477e+00
## 132 1.31 14.714850 -6.955364009 -1.034614e+01
## 133 1.32 15.072177 -7.300898351 -1.081833e+01
## 134 1.33 15.491523 -7.658282250 -1.128529e+01
## 135 1.34 15.975093 -8.025569997 -1.174022e+01
## 136 1.35 16.524238 -8.400302828 -1.217527e+01
## 137 1.36 17.139170 -8.779458797 -1.258157e+01
## 138 1.37 17.818653 -9.159415103 -1.294936e+01
## 139 1.38 18.559691 -9.535929426 -1.326818e+01
## 140 1.39 19.357242 -9.904147601 -1.352721e+01
## 141 1.40 20.203971 -10.258645190 -1.371566e+01
## 142 1.41 21.090111 -10.593509879 -1.382330e+01
## 143 1.42 22.003440 -10.902469864 -1.384108e+01
## 144 1.43 22.929439 -11.179070328 -1.376174e+01
## 145 1.44 23.851639 -11.416895689 -1.358050e+01
## 146 1.45 24.752175 -11.609829819 -1.329564e+01
## 147 1.46 25.612529 -11.752340467 -1.290894e+01
## 148 1.47 26.414415 -11.839768587 -1.242585e+01
## 149 1.48 27.140738 -11.868599184 -1.185554e+01
## 150 1.49 27.776533 -11.836688826 -1.121052e+01
## 151 1.50 28.309783 -11.743426738 -1.050603e+01
## 152 1.51 28.732028 -11.589811628 -9.759246e+00
## 153 1.52 29.038704 -11.378434583 -8.988278e+00
## 154 1.53 29.229173 -11.113368167 -8.211167e+00
## 155 1.54 29.306469 -10.799971581 -7.444931e+00
## 156 1.55 29.276797 -10.444631226 -6.704770e+00
## 157 1.56 29.148864 -10.054459638 -6.003478e+00
## 158 1.57 28.933127 -9.636978955 -5.351102e+00
## 159 1.58 28.641046 -9.199813317 -4.754834e+00
## 160 1.59 28.284390 -8.750411402 -4.219118e+00
## 161 1.60 27.874670 -8.295812955 -3.745911e+00
## 162 1.61 27.422703 -7.842468084 -3.335044e+00
## 163 1.62 26.938316 -7.396111303 -2.984646e+00
## 164 1.63 26.430178 -6.961687860 -2.691564e+00
## 165 1.64 25.905746 -6.543326865 -2.451764e+00
## 166 1.65 25.371289 -6.144352605 -2.260687e+00
## 167 1.66 24.831966 -5.767325687 -2.113539e+00
## 168 1.67 24.291944 -5.414105355 -2.005528e+00
## 169 1.68 23.754532 -5.085925268 -1.932039e+00
## 170 1.69 23.222314 -4.783476319 -1.888758e+00
## 171 1.70 22.697281 -4.506991026 -1.871752e+00
## 172 1.71 22.180947 -4.256325838 -1.877514e+00
## 173 1.72 21.674449 -4.031038462 -1.902977e+00
## 174 1.73 21.178638 -3.830458370 -1.945518e+00
## 175 1.74 20.694147 -3.653749695 -2.002934e+00
## 176 1.75 20.221452 -3.499965991 -2.073421e+00
## 177 1.76 19.760914 -3.368097186 -2.155540e+00
## 178 1.77 19.312824 -3.257108720 -2.248184e+00
## 179 1.78 18.877424 -3.165973747 -2.350543e+00
## 180 1.79 18.454935 -3.093699092 -2.462071e+00
## 181 1.80 18.045572 -3.039345578 -2.582454e+00
## 182 1.81 17.649562 -3.002043604 -2.711580e+00
## 183 1.82 17.267156 -2.981004420 -2.849516e+00
## 184 1.83 16.898637 -2.975528069 -2.996479e+00
## 185 1.84 16.544336 -2.985008552 -3.152818e+00
## 186 1.85 16.204635 -3.008936450 -3.318998e+00
## 187 1.86 15.879983 -3.046899608 -3.495575e+00
## 188 1.87 15.570904 -3.098582271 -3.683191e+00
## 189 1.88 15.278007 -3.163762910 -3.882550e+00
## 190 1.89 15.001999 -3.242310904 -4.094411e+00
## 191 1.90 14.743700 -3.334182271 -4.319573e+00
## 192 1.91 14.504050 -3.439414451 -4.558857e+00
## 193 1.92 14.284131 -3.558120126 -4.813094e+00
## 194 1.93 14.085180 -3.690480058 -5.083107e+00
## 195 1.94 13.908603 -3.836734753 -5.369688e+00
## 196 1.95 13.755994 -3.997174738 -5.673573e+00
## 197 1.96 13.629150 -4.172129197 -5.995415e+00
## 198 1.97 13.530089 -4.361952592 -6.335746e+00
## 199 1.98 13.461059 -4.567008865 -6.694937e+00
## 200 1.99 13.424554 -4.787652759 -7.073147e+00
## 201 2.00 13.423313 -5.024207770 -7.470263e+00
## 202 2.01 13.460322 -5.276940003 -7.885832e+00
## 203 2.02 13.538800 -5.546027565 -8.318984e+00
## 204 2.03 13.662172 -5.831524984 -8.768341e+00
## 205 2.04 13.834024 -6.133322115 -9.231921e+00
## 206 2.05 14.058038 -6.451097282 -9.707035e+00
## 207 2.06 14.337898 -6.784264751 -1.019017e+01
## 208 2.07 14.677155 -7.131917025 -1.067691e+01
## 209 2.08 15.079071 -7.492762992 -1.116180e+01
## 210 2.09 15.546405 -7.865063809 -1.163830e+01
## 211 2.10 16.081167 -8.246569350 -1.209875e+01
## 212 2.11 16.684326 -8.634459242 -1.253435e+01
## 213 2.12 17.355493 -9.025293762 -1.293527e+01
## 214 2.13 18.092580 -9.414981165 -1.329082e+01
## 215 2.14 18.891470 -9.798769106 -1.358969e+01
## 216 2.15 19.745721 -10.171268413 -1.382037e+01
## 217 2.16 20.646348 -10.526517404 -1.397166e+01
## 218 2.17 21.581728 -10.858093636 -1.403324e+01
## 219 2.18 22.537670 -11.159277365 -1.399642e+01
## 220 2.19 23.497682 -11.423266844 -1.385482e+01
## 221 2.20 24.443474 -11.643439980 -1.360505e+01
## 222 2.21 25.355666 -11.813650576 -1.324727e+01
## 223 2.22 26.214690 -11.928540149 -1.278556e+01
## 224 2.23 27.001806 -11.983841740 -1.222798e+01
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## 822 8.21 21.710518 2.498394096 -2.893702e-01
## 823 8.22 21.132914 2.234962282 -2.494489e-01
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## 826 8.25 19.498413 1.611535763 -9.277354e-02
## 827 8.26 18.984357 1.452149401 -3.467679e-02
## 828 8.27 18.484722 1.313506445 2.424800e-02
## 829 8.28 17.998970 1.193673236 8.325287e-02
## 830 8.29 17.526605 1.090841991 1.418509e-01
## 831 8.30 17.067166 1.003341253 1.997675e-01
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## 833 8.32 16.185405 0.868354020 3.132781e-01
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## 845 8.44 11.803860 0.770318148 1.040429e+00
## 846 8.45 11.501610 0.799769087 1.118686e+00
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## 887 8.86 20.310932 12.420954331 1.809198e+01
## 888 8.87 22.048806 12.964698990 1.814157e+01
## 889 8.88 23.825352 13.450822541 1.796861e+01
## 890 8.89 25.595968 13.862732787 1.755608e+01
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## 896 8.95 33.332189 14.040063674 1.060757e+01
## 897 8.96 33.797804 13.637795477 9.043267e+00
## 898 8.97 34.000908 13.125485496 7.498393e+00
## 899 8.98 33.961169 12.517776509 6.019655e+00
## 900 8.99 33.707546 11.831937155 4.644596e+00
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## 903 9.02 32.016378 9.492707441 1.356354e+00
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## 915 9.14 22.814213 1.882457915 -1.891907e+00
## 916 9.15 22.182355 1.524525109 -1.864740e+00
## 917 9.16 21.573823 1.203585602 -1.831124e+00
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## 1103 11.02 18.997269 0.165777336 1.987237e+00
## 1104 11.03 18.502338 0.338609731 1.978275e+00
## 1105 11.04 18.023625 0.494574355 1.978363e+00
## 1106 11.05 17.560435 0.636168158 1.988102e+00
## 1107 11.06 17.112185 0.765699706 2.007938e+00
## 1108 11.07 16.678387 0.885294733 2.038209e+00
## 1109 11.08 16.258639 0.996905413 2.079187e+00
## 1110 11.09 15.852620 1.102322240 2.131112e+00
## 1111 11.10 15.460078 1.203187645 2.194218e+00
## 1112 11.11 15.080834 1.301010601 2.268754e+00
## 1113 11.12 14.714774 1.397181677 2.355003e+00
## 1114 11.13 14.361849 1.492988135 2.453292e+00
## 1115 11.14 14.022082 1.589628744 2.564009e+00
## 1116 11.15 13.695565 1.688228059 2.687605e+00
## 1117 11.16 13.382468 1.789850034 2.824604e+00
## 1118 11.17 13.083045 1.895510827 2.975605e+00
## 1119 11.18 12.797643 2.006190702 3.141285e+00
## 1120 11.19 12.526713 2.122844972 3.322402e+00
## 1121 11.20 12.270820 2.246413920 3.519792e+00
## 1122 11.21 12.030663 2.377831604 3.734366e+00
## 1123 11.22 11.807087 2.518033468 3.967108e+00
## 1124 11.23 11.601106 2.667962667 4.219065e+00
## 1125 11.24 11.413923 2.828574927 4.491337e+00
## 1126 11.25 11.246957 3.000841745 4.785064e+00
## 1127 11.26 11.101867 3.185751648 5.101403e+00
## 1128 11.27 10.980586 3.384309171 5.441505e+00
## 1129 11.28 10.885349 3.597531099 5.806480e+00
## 1130 11.29 10.818731 3.826439431 6.197355e+00
## 1131 11.30 10.783673 4.072050461 6.615017e+00
## 1132 11.31 10.783520 4.335358829 7.060150e+00
## 1133 11.32 10.822050 4.617316097 7.533144e+00
## 1134 11.33 10.903488 4.918802505 8.033999e+00
## 1135 11.34 11.032522 5.240590646 8.562199e+00
## 1136 11.35 11.214292 5.583299832 9.116570e+00
## 1137 11.36 11.454354 5.947339925 9.695107e+00
## 1138 11.37 11.758611 6.332843476 1.029479e+01
## 1139 11.38 12.133202 6.739585332 1.091137e+01
## 1140 11.39 12.584321 7.166889517 1.153916e+01
## 1141 11.40 13.117976 7.613524110 1.217080e+01
## 1142 11.41 13.739652 8.077586296 1.279708e+01
## 1143 11.42 14.453893 8.556381711 1.340680e+01
## 1144 11.43 15.263774 9.046304734 1.398665e+01
## 1145 11.44 16.170296 9.542729296 1.452133e+01
## 1146 11.45 17.171710 10.039923928 1.499374e+01
## 1147 11.46 18.262821 10.531006514 1.538546e+01
## 1148 11.47 19.434349 11.007958258 1.567740e+01
## 1149 11.48 20.672423 11.461716120 1.585085e+01
## 1150 11.49 21.958332 11.882362033 1.588862e+01
## 1151 11.50 23.268641 12.259420494 1.577654e+01
## 1152 11.51 24.575769 12.582266657 1.550487e+01
## 1153 11.52 25.849082 12.840632518 1.506970e+01
## 1154 11.53 27.056480 13.025181900 1.447401e+01
## 1155 11.54 28.166364 13.128108136 1.372821e+01
## 1156 11.55 29.149790 13.143695259 1.285001e+01
## 1157 11.56 29.982546 13.068778561 1.186359e+01
## 1158 11.57 30.646857 12.903045705 1.079799e+01
## 1159 11.58 31.132502 12.649136342 9.685168e+00
## 1160 11.59 31.437173 12.312523381 8.557608e+00
## 1161 11.60 31.566068 11.901188229 7.446157e+00
## 1162 11.61 31.530826 11.425129012 6.378103e+00
## 1163 11.62 31.348005 10.895759914 5.375819e+00
## 1164 11.63 31.037337 10.325268031 4.456025e+00
## 1165 11.64 30.620024 9.725990264 3.629645e+00
## 1166 11.65 30.117226 9.109862127 2.902181e+00
## 1167 11.66 29.548898 8.487972829 2.274435e+00
## 1168 11.67 28.932981 7.870242106 1.743430e+00
## 1169 11.68 28.284956 7.265219258 1.303389e+00
## 1170 11.69 27.617694 6.679992670 9.466586e-01
## 1171 11.70 26.941525 6.120190362 6.645220e-01
## 1172 11.71 26.264467 5.590051177 4.478582e-01
## 1173 11.72 25.592525 5.092543905 2.876418e-01
## 1174 11.73 24.930027 4.629515427 1.752979e-01
## 1175 11.74 24.279955 4.201852410 1.029314e-01
## 1176 11.75 23.644244 3.809644171 6.345555e-02
## 1177 11.76 23.024037 3.452338676 5.064520e-02
## 1178 11.77 22.419904 3.128885781 5.913476e-02
## 1179 11.78 21.832011 2.837864834 8.438008e-02
## 1180 11.79 21.260249 2.577595257 1.225974e-01
## 1181 11.80 20.704336 2.346230193 1.706902e-01
## 1182 11.81 20.163888 2.141833956 2.261713e-01
## 1183 11.82 19.638467 1.962444729 2.870857e-01
## 1184 11.83 19.127618 1.806124059 3.519364e-01
## 1185 11.84 18.630892 1.670994897 4.196168e-01
## 1186 11.85 18.147854 1.555269881 4.893492e-01
## 1187 11.86 17.678097 1.457271442 5.606312e-01
## 1188 11.87 17.221241 1.375445210 6.331881e-01
## 1189 11.88 16.776937 1.308368008 7.069337e-01
## 1190 11.89 16.344868 1.254751578 7.819359e-01
## 1191 11.90 15.924742 1.213443035 8.583891e-01
## 1192 11.91 15.516298 1.183422877 9.365912e-01
## 1193 11.92 15.119300 1.163801225 1.016925e+00
## 1194 11.93 14.733540 1.153812897 1.099846e+00
## 1195 11.94 14.358835 1.152811759 1.185868e+00
## 1196 11.95 13.995029 1.160264742 1.275559e+00
## 1197 11.96 13.641995 1.175745803 1.369532e+00
## 1198 11.97 13.299633 1.198930069 1.468448e+00
## 1199 11.98 12.967876 1.229588324 1.573006e+00
## 1200 11.99 12.646691 1.267581957 1.683950e+00
## 1201 12.00 12.336086 1.312858468 1.802070e+00
## 1202 12.01 12.036108 1.365447574 1.928199e+00
## 1203 12.02 11.746859 1.425457933 2.063222e+00
## 1204 12.03 11.468492 1.493074491 2.208074e+00
## 1205 12.04 11.201227 1.568556438 2.363749e+00
## 1206 12.05 10.945358 1.652235725 2.531302e+00
## 1207 12.06 10.701262 1.744516095 2.711849e+00
## 1208 12.07 10.469418 1.845872545 2.906578e+00
## 1209 12.08 10.250414 1.956851133 3.116746e+00
## 1210 12.09 10.044974 2.078068999 3.343679e+00
## 1211 12.10 9.853969 2.210214447 3.588779e+00
## 1212 12.11 9.678450 2.354046907 3.853515e+00
## 1213 12.12 9.519666 2.510396526 4.139421e+00
## 1214 12.13 9.379103 2.680163094 4.448083e+00
## 1215 12.14 9.258512 2.864313932 4.781131e+00
## 1216 12.15 9.159950 3.063880267 5.140208e+00
## 1217 12.16 9.085826 3.279951522 5.526950e+00
## 1218 12.17 9.038940 3.513666797 5.942939e+00
## 1219 12.18 9.022540 3.766202660 6.389649e+00
## 1220 12.19 9.040367 4.038756234 6.868379e+00
## 1221 12.20 9.096705 4.332522171 7.380161e+00
## 1222 12.21 9.196430 4.648661972 7.925642e+00
## 1223 12.22 9.345041 4.988264254 8.504949e+00
## 1224 12.23 9.548682 5.352293745 9.117507e+00
## 1225 12.24 9.814133 5.741526845 9.761839e+00
## 1226 12.25 10.148767 6.156471757 1.043532e+01
## 1227 12.26 10.560449 6.597271293 1.113388e+01
## 1228 12.27 11.057366 7.063586843 1.185173e+01
## 1229 12.28 11.647759 7.554463149 1.258100e+01
## 1230 12.29 12.339544 8.068175145 1.331147e+01
## 1231 12.30 13.139790 8.602060520 1.403021e+01
## 1232 12.31 14.054053 9.152345278 1.472148e+01
## 1233 12.32 15.085557 9.713973974 1.536662e+01
## 1234 12.33 16.234240 10.280461830 1.594422e+01
## 1235 12.34 17.495730 10.843791659 1.643065e+01
## 1236 12.35 18.860333 11.394383808 1.680088e+01
## 1237 12.36 20.312169 11.921170567 1.702977e+01
## 1238 12.37 21.828637 12.411805785 1.709373e+01
## 1239 12.38 23.380395 12.853033716 1.697284e+01
## 1240 12.39 24.932039 13.231226777 1.665298e+01
## 1241 12.40 26.443580 13.533079733 1.612797e+01
## 1242 12.41 27.872726 13.746419807 1.540124e+01
## 1243 12.42 29.177795 13.861063021 1.448670e+01
## 1244 12.43 30.320941 13.869623760 1.340859e+01
## 1245 12.44 31.271243 13.768174569 1.220011e+01
## 1246 12.45 32.007194 13.556662208 1.090105e+01
## 1247 12.46 32.518179 13.239014738 9.554561e+00
## 1248 12.47 32.804741 12.822918583 8.203754e+00
## 1249 12.48 32.877648 12.319293405 6.888406e+00
## 1250 12.49 32.755991 11.741536093 5.642380e+00
## 1251 12.50 32.464683 11.104633092 4.491948e+00
## 1252 12.51 32.031809 10.424246904 3.455129e+00
## 1253 12.52 31.486167 9.715870668 2.541914e+00
## 1254 12.53 30.855287 8.994122101 1.755175e+00
## 1255 12.54 30.164012 8.272208121 1.091988e+00
## 1256 12.55 29.433690 7.561579649 5.451030e-01
## 1257 12.56 28.681863 6.871757562 1.043798e-01
## 1258 12.57 27.922349 6.210303240 -2.419606e-01
## 1259 12.58 27.165575 5.582900524 -5.063193e-01
## 1260 12.59 26.419055 4.993513621 -7.009595e-01
## 1261 12.60 25.687916 4.444591747 -8.374807e-01
## 1262 12.61 24.975405 3.937292741 -9.264951e-01
## 1263 12.62 24.283351 3.471709722 -9.774548e-01
## 1264 12.63 23.612553 3.047086285 -9.985973e-01
## 1265 12.64 22.963094 2.662011999 -9.969678e-01
## 1266 12.65 22.334589 2.314595182 -9.784906e-01
## 1267 12.66 21.726362 2.002610610 -9.480715e-01
## 1268 12.67 21.137585 1.723622607 -9.097120e-01
## 1269 12.68 20.567363 1.475085469 -8.666270e-01
## 1270 12.69 20.014796 1.254423235 -8.213581e-01
## 1271 12.70 19.479020 1.059091508 -7.758788e-01
## 1272 12.71 18.959220 0.886623786 -7.316903e-01
## 1273 12.72 18.454648 0.734664789 -6.899063e-01
## 1274 12.73 17.964618 0.600993106 -6.513271e-01
## 1275 12.74 17.488509 0.483535138 -6.165026e-01
## 1276 12.75 17.025756 0.380372129 -5.857873e-01
## 1277 12.76 16.575849 0.289741797 -5.593852e-01
## 1278 12.77 16.138321 0.210035856 -5.373879e-01
## 1279 12.78 15.712745 0.139794481 -5.198063e-01
## 1280 12.79 15.298729 0.077698612 -5.065956e-01
## 1281 12.80 14.895909 0.022560788 -4.976764e-01
## 1282 12.81 14.503947 -0.026684896 -4.929513e-01
## 1283 12.82 14.122526 -0.070993320 -4.923178e-01
## 1284 12.83 13.751348 -0.111218930 -4.956792e-01
## 1285 12.84 13.390132 -0.148126232 -5.029518e-01
## 1286 12.85 13.038611 -0.182399963 -5.140721e-01
## 1287 12.86 12.696533 -0.214654789 -5.290009e-01
## 1288 12.87 12.363656 -0.245444493 -5.477272e-01
## 1289 12.88 12.039752 -0.275270596 -5.702711e-01
## 1290 12.89 11.724605 -0.304590402 -5.966860e-01
## 1291 12.90 11.418008 -0.333824465 -6.270605e-01
## 1292 12.91 11.119768 -0.363363515 -6.615199e-01
## 1293 12.92 10.829703 -0.393574876 -7.002280e-01
## 1294 12.93 10.547641 -0.424808413 -7.433885e-01
## 1295 12.94 10.273428 -0.457402070 -7.912464e-01
## 1296 12.95 10.006918 -0.491687046 -8.440904e-01
## 1297 12.96 9.747986 -0.527992660 -9.022544e-01
## 1298 12.97 9.496520 -0.566650968 -9.661201e-01
## 1299 12.98 9.252427 -0.608001180 -1.036120e+00
## 1300 12.99 9.015636 -0.652393925 -1.112740e+00
## 1301 13.00 8.786100 -0.700195432 -1.196522e+00
## 1302 13.01 8.563798 -0.751791642 -1.288071e+00
## 1303 13.02 8.348740 -0.807592334 -1.388055e+00
## 1304 13.03 8.140973 -0.868035268 -1.497213e+00
## 1305 13.04 7.940585 -0.933590410 -1.616359e+00
## 1306 13.05 7.747710 -1.004764251 -1.746385e+00
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## 1308 13.07 7.385339 -1.166203443 -2.043091e+00
## 1309 13.08 7.216437 -1.257705128 -2.212014e+00
## 1310 13.09 7.056263 -1.357307786 -2.396315e+00
## 1311 13.10 6.905352 -1.465770044 -2.597380e+00
## 1312 13.11 6.764364 -1.583915729 -2.816709e+00
## 1313 13.12 6.634112 -1.712638913 -3.055924e+00
## 1314 13.13 6.515580 -1.852908826 -3.316770e+00
## 1315 13.14 6.409964 -2.005774476 -3.601114e+00
## 1316 13.15 6.318700 -2.172368745 -3.910948e+00
## 1317 13.16 6.243515 -2.353911641 -4.248373e+00
## 1318 13.17 6.186468 -2.551712279 -4.615595e+00
## 1319 13.18 6.150013 -2.767169034 -5.014898e+00
## 1320 13.19 6.137062 -3.001767114 -5.448613e+00
## 1321 13.20 6.151055 -3.257072606 -5.919069e+00
## 1322 13.21 6.196043 -3.534721761 -6.428531e+00
## 1323 13.22 6.276767 -3.836403967 -6.979110e+00
## 1324 13.23 6.398757 -4.163836621 -7.572642e+00
## 1325 13.24 6.568412 -4.518728920 -8.210533e+00
## 1326 13.25 6.793081 -4.902732444 -8.893560e+00
## 1327 13.26 7.081130 -5.317374986 -9.621613e+00
## 1328 13.27 7.441964 -5.763973547 -1.039339e+01
## 1329 13.28 7.886005 -6.243522428 -1.120600e+01
## 1330 13.29 8.424585 -6.756552449 -1.205453e+01
## 1331 13.30 9.069723 -7.302957749 -1.293154e+01
## 1332 13.31 9.833745 -7.881787777 -1.382646e+01
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## 1334 13.33 11.765523 -9.127215779 -1.560900e+01
## 1335 13.34 12.952943 -9.785377506 -1.645525e+01
## 1336 13.35 14.296053 -10.458516710 -1.723619e+01
## 1337 13.36 15.794667 -11.137475468 -1.791979e+01
## 1338 13.37 17.441506 -11.810738601 -1.847047e+01
## 1339 13.38 19.220442 -12.464394054 -1.885078e+01
## 1340 13.39 21.105073 -13.082288554 -1.902371e+01
## 1341 13.40 23.058019 -13.646437384 -1.895598e+01
## 1342 13.41 25.031334 -14.137729489 -1.862178e+01
## 1343 13.42 26.968356 -14.536933636 -1.800660e+01
## 1344 13.43 28.807143 -14.825958773 -1.711067e+01
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## 1346 13.45 31.945487 -15.015223997 -1.456176e+01
## 1347 13.46 33.141259 -14.897338562 -1.299197e+01
## 1348 13.47 34.041334 -14.634951961 -1.130168e+01
## 1349 13.48 34.632358 -14.233489644 -9.556184e+00
## 1350 13.49 34.919144 -13.704079440 -7.819896e+00
## 1351 13.50 34.922651 -13.062643153 -6.150685e+00
## 1352 13.51 34.676219 -12.328600225 -4.595649e+00
## 1353 13.52 34.220901 -11.523380832 -3.188766e+00
## 1354 13.53 33.600770 -10.668948786 -1.950420e+00
## 1355 13.54 32.858891 -9.786500333 -8.885315e-01
## 1356 13.55 32.034369 -8.895449578 -7.050011e-04
## 1357 13.56 31.160585 -8.012740944 7.231639e-01
## 1358 13.57 30.264472 -7.152478442 1.298279e+00
## 1359 13.58 29.366613 -6.325825001 1.742647e+00
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## 1373 13.72 19.637519 0.343232433 2.472536e+00
## 1374 13.73 19.131643 0.545376808 2.464080e+00
## 1375 13.74 18.643736 0.727963063 2.465767e+00
## 1376 13.75 18.172956 0.893859535 2.478425e+00
## 1377 13.76 17.718611 1.045729723 2.502669e+00
## 1378 13.77 17.280140 1.186034457 2.538965e+00
## 1379 13.78 16.857101 1.317039532 2.587678e+00
## 1380 13.79 16.449162 1.440826785 2.649116e+00
## 1381 13.80 16.056089 1.559307703 2.723561e+00
## 1382 13.81 15.677744 1.674238605 2.811296e+00
## 1383 13.82 15.314077 1.787236583 2.912626e+00
## 1384 13.83 14.965133 1.899795671 3.027897e+00
## 1385 13.84 14.631045 2.013302811 3.157501e+00
## 1386 13.85 14.312044 2.129053289 3.301893e+00
## 1387 13.86 14.008463 2.248265317 3.461589e+00
## 1388 13.87 13.720745 2.372093632 3.637174e+00
## 1389 13.88 13.449454 2.501641910 3.829299e+00
## 1390 13.89 13.195288 2.637973852 4.038677e+00
## 1391 13.90 12.959092 2.782122808 4.266083e+00
## 1392 13.91 12.741878 2.935099792 4.512337e+00
## 1393 13.92 12.544839 3.097899700 4.778299e+00
## 1394 13.93 12.369376 3.271505545 5.064846e+00
## 1395 13.94 12.217115 3.456890432 5.372854e+00
## 1396 13.95 12.089935 3.655016985 5.703167e+00
## 1397 13.96 11.989989 3.866833646 6.056564e+00
## 1398 13.97 11.919734 4.093267671 6.433712e+00
## 1399 13.98 11.881951 4.335214073 6.835113e+00
## 1400 13.99 11.879765 4.593519779 7.261036e+00
## 1401 14.00 11.916660 4.868962301 7.711437e+00
## 1402 14.01 11.996487 5.162222098 8.185865e+00
## 1403 14.02 12.123452 5.473847702 8.683348e+00
## 1404 14.03 12.302093 5.804212723 9.202268e+00
## 1405 14.04 12.537223 6.153463960 9.740210e+00
## 1406 14.05 12.833851 6.521460031 1.029381e+01
## 1407 14.06 13.197050 6.907700377 1.085860e+01
## 1408 14.07 13.631780 7.311245108 1.142881e+01
## 1409 14.08 14.142647 7.730627120 1.199724e+01
## 1410 14.09 14.733600 8.163759182 1.255513e+01
## 1411 14.10 15.407553 8.607840394 1.309210e+01
## 1412 14.11 16.165942 9.059268415 1.359612e+01
## 1413 14.12 17.008226 9.513566195 1.405367e+01
## 1414 14.13 17.931365 9.965334206 1.445002e+01
## 1415 14.14 18.929307 10.408241203 1.476964e+01
## 1416 14.15 19.992542 10.835067600 1.499683e+01
## 1417 14.16 21.107813 11.237815166 1.511663e+01
## 1418 14.17 22.258031 11.607894045 1.511574e+01
## 1419 14.18 23.422506 11.936392736 1.498365e+01
## 1420 14.19 24.577519 12.214428281 1.471375e+01
## 1421 14.20 25.697283 12.433563135 1.430431e+01
## 1422 14.21 26.755230 12.586263198 1.375918e+01
## 1423 14.22 27.725554 12.666360396 1.308805e+01
## 1424 14.23 28.584846 12.669476293 1.230632e+01
## 1425 14.24 29.313618 12.593357468 1.143427e+01
## 1426 14.25 29.897559 12.438087563 1.049591e+01
## 1427 14.26 30.328323 12.206143235 9.517405e+00
## 1428 14.27 30.603781 11.902288628 8.525307e+00
## 1429 14.28 30.727719 11.533313590 7.544920e+00
## 1430 14.29 30.709053 11.107649386 6.598847e+00
## 1431 14.30 30.560707 10.634900356 5.705930e+00
## 1432 14.31 30.298323 10.125342055 4.880645e+00
## 1433 14.32 29.938961 9.589429334 4.132921e+00
## 1434 14.33 29.499937 9.037354773 3.468359e+00
## 1435 14.34 28.997877 8.478683302 2.888717e+00
## 1436 14.35 28.448041 7.922077281 2.392570e+00
## 1437 14.36 27.863896 7.375114740 1.976042e+00
## 1438 14.37 27.256930 6.844194586 1.633522e+00
## 1439 14.38 26.636637 6.334515213 1.358312e+00
## 1440 14.39 26.010640 5.850112833 1.143175e+00
## 1441 14.40 25.384883 5.393942983 9.807684e-01
## 1442 14.41 24.763871 4.967989578 8.639687e-01
## 1443 14.42 24.150916 4.573389829 7.860947e-01
## 1444 14.43 23.548370 4.210564383 7.410496e-01
## 1445 14.44 22.957836 3.879345173 7.233963e-01
## 1446 14.45 22.380343 3.579095865 7.283836e-01
## 1447 14.46 21.816502 3.308821440 7.519365e-01
## 1448 14.47 21.266618 3.067265232 7.906233e-01
## 1449 14.48 20.730788 2.852992782 8.416070e-01
## 1450 14.49 20.208966 2.664462728 9.025902e-01
## 1451 14.50 19.701020 2.500085460 9.717558e-01
## 1452 14.51 19.206768 2.358270632 1.047710e+00
## 1453 14.52 18.726005 2.237464740 1.129425e+00
## 1454 14.53 18.258520 2.136180093 1.216191e+00
## 1455 14.54 17.804112 2.053016436 1.307569e+00
## 1456 14.55 17.362599 1.986676419 1.403349e+00
## 1457 14.56 16.933818 1.935976021 1.503521e+00
## 1458 14.57 16.517638 1.899850909 1.608235e+00
## 1459 14.58 16.113957 1.877359551 1.717785e+00
## 1460 14.59 15.722709 1.867683936 1.832587e+00
## 1461 14.60 15.343864 1.870128383 1.953155e+00
## 1462 14.61 14.977434 1.884117073 2.080099e+00
## 1463 14.62 14.623477 1.909190684 2.214104e+00
## 1464 14.63 14.282103 1.945002469 2.355928e+00
## 1465 14.64 13.953476 1.991314073 2.506397e+00
## 1466 14.65 13.637826 2.047991240 2.666395e+00
## 1467 14.66 13.335454 2.114999607 2.836866e+00
## 1468 14.67 13.046744 2.192400611 3.018810e+00
## 1469 14.68 12.772172 2.280347576 3.213280e+00
## 1470 14.69 12.512323 2.379081974 3.421381e+00
## 1471 14.70 12.267900 2.488929779 3.644265e+00
## 1472 14.71 12.039747 2.610297823 3.883130e+00
## 1473 14.72 11.828865 2.743670012 4.139210e+00
## 1474 14.73 11.636433 2.889603177 4.413769e+00
## 1475 14.74 11.463834 3.048722321 4.708087e+00
## 1476 14.75 11.312680 3.221714929 5.023443e+00
## 1477 14.76 11.184842 3.409323950 5.361094e+00
## 1478 14.77 11.082480 3.612338857 5.722244e+00
## 1479 14.78 11.008074 3.831584368 6.108002e+00
## 1480 14.79 10.964456 4.067906023 6.519339e+00
## 1481 14.80 10.954843 4.322151799 6.957018e+00
## 1482 14.81 10.982863 4.595148785 7.421523e+00
## 1483 14.82 11.052577 4.887673905 7.912960e+00
## 1484 14.83 11.168486 5.200417458 8.430943e+00
## 1485 14.84 11.335529 5.533938238 8.974461e+00
## 1486 14.85 11.559051 5.888608976 9.541717e+00
## 1487 14.86 11.844740 6.264550966 1.012995e+01
## 1488 14.87 12.198526 6.661557035 1.073525e+01
## 1489 14.88 12.626418 7.079002511 1.135233e+01
## 1490 14.89 13.134283 7.515744759 1.197433e+01
## 1491 14.90 13.727537 7.970013091 1.259262e+01
## 1492 14.91 14.410754 8.439292647 1.319667e+01
## 1493 14.92 15.187181 8.920208176 1.377392e+01
## 1494 14.93 16.058167 9.408416444 1.430988e+01
## 1495 14.94 17.022528 9.898519167 1.478826e+01
## 1496 14.95 18.075879 10.384011496 1.519141e+01
## 1497 14.96 19.210006 10.857283624 1.550089e+01
## 1498 14.97 20.412351 11.309694236 1.569840e+01
## 1499 14.98 21.665717 11.731733215 1.576688e+01
## 1500 14.99 22.948301 12.113286379 1.569187e+01
## 1501 15.00 24.234147 12.444006322 1.546288e+01
## 1502 15.01 25.494085 12.713780672 1.507475e+01
## 1503 15.02 26.697152 12.913273470 1.452877e+01
## 1504 15.03 27.812402 13.034499149 1.383332e+01
## 1505 15.04 28.810946 13.071375239 1.300387e+01
## 1506 15.05 29.667980 13.020193114 1.206238e+01
## 1507 15.06 30.364527 12.879948809 1.103598e+01
## 1508 15.07 30.888669 12.652489233 9.955049e+00
## 1509 15.08 31.236080 12.342451304 8.851141e+00
## 1510 15.09 31.409832 11.956998624 7.754759e+00
## 1511 15.10 31.419535 11.505386668 6.693454e+00
## 1512 15.11 31.279981 10.998407750 5.690364e+00
## 1513 15.12 31.009515 10.447777593 4.763335e+00
## 1514 15.13 30.628374 9.865525256 3.924626e+00
## 1515 15.14 30.157180 9.263438838 3.181134e+00
## 1516 15.15 29.615712 8.652604942 2.534993e+00
## 1517 15.16 29.022032 8.043060902 1.984409e+00
## 1518 15.17 28.391947 7.443565957 1.524590e+00
## 1519 15.18 27.738785 6.861481481 1.148656e+00
## 1520 15.19 27.073392 6.302746412 8.484600e-01
## 1521 15.20 26.404311 5.771925742 6.152627e-01
## 1522 15.21 25.738046 5.272312017 4.402666e-01
## 1523 15.22 25.079377 4.806060539 3.150009e-01
## 1524 15.23 24.431678 4.374342047 2.315826e-01
## 1525 15.24 23.797212 3.977501033 1.828701e-01
## 1526 15.25 23.177395 3.615208694 1.625394e-01
## 1527 15.26 22.573013 3.286605921 1.651010e-01
## 1528 15.27 21.984406 2.990432628 1.858745e-01
## 1529 15.28 21.411597 2.725140297 2.209376e-01
## 1530 15.29 20.854410 2.488988576 2.670595e-01
## 1531 15.30 20.312540 2.280125784 3.216282e-01
## 1532 15.31 19.785609 2.096654775 3.825756e-01
## 1533 15.32 19.273211 1.936685562 4.483055e-01
## 1534 15.33 18.774932 1.798376134 5.176255e-01
## 1535 15.34 18.290368 1.679963368 5.896866e-01
## 1536 15.35 17.819135 1.579785491 6.639282e-01
## 1537 15.36 17.360877 1.496297510 7.400304e-01
## 1538 15.37 16.915263 1.428081000 8.178734e-01
## 1539 15.38 16.481994 1.373849349 8.975024e-01
## 1540 15.39 16.060798 1.332449498 9.790992e-01
## 1541 15.40 15.651434 1.302861016 1.062958e+00
## 1542 15.41 15.253686 1.284193240 1.149466e+00
## 1543 15.42 14.867369 1.275681077 1.239091e+00
## 1544 15.43 14.492326 1.276679950 1.332366e+00
## 1545 15.44 14.128428 1.286660290 1.429882e+00
## 1546 15.45 13.775578 1.305201875 1.532285e+00
## 1547 15.46 13.433714 1.331988278 1.640270e+00
## 1548 15.47 13.102807 1.366801567 1.754579e+00
## 1549 15.48 12.782872 1.409517433 1.876000e+00
## 1550 15.49 12.473967 1.460100806 2.005370e+00
## 1551 15.50 12.176200 1.518602020 2.143578e+00
## 1552 15.51 11.889740 1.585153556 2.291562e+00
## 1553 15.52 11.614820 1.659967352 2.450317e+00
## 1554 15.53 11.351749 1.743332663 2.620897e+00
## 1555 15.54 11.100924 1.835614406 2.804417e+00
## 1556 15.55 10.862840 1.937251947 3.002055e+00
## 1557 15.56 10.638112 2.048758203 3.215057e+00
## 1558 15.57 10.427485 2.170718951 3.444732e+00
## 1559 15.58 10.231858 2.303792177 3.692459e+00
## 1560 15.59 10.052310 2.448707266 3.959675e+00
## 1561 15.60 9.890121 2.606263791 4.247874e+00
## 1562 15.61 9.746806 2.777329585 4.558592e+00
## 1563 15.62 9.624148 2.962837708 4.893396e+00
## 1564 15.63 9.524236 3.163781832 5.253855e+00
## 1565 15.64 9.449504 3.381209495 5.641512e+00
## 1566 15.65 9.402776 3.616212315 6.057840e+00
## 1567 15.66 9.387315 3.869912555 6.504185e+00
## 1568 15.67 9.406865 4.143444849 6.981695e+00
## 1569 15.68 9.465697 4.437931778 7.491225e+00
## 1570 15.69 9.568649 4.754451873 8.033225e+00
## 1571 15.70 9.721152 5.093998400 8.607593e+00
## 1572 15.71 9.929240 5.457427076 9.213508e+00
## 1573 15.72 10.199532 5.845390758 9.849217e+00
## 1574 15.73 10.539175 6.258259254 1.051181e+01
## 1575 15.74 10.955728 6.696022596 1.119693e+01
## 1576 15.75 11.456975 7.158176774 1.189850e+01
## 1577 15.76 12.050654 7.643591988 1.260843e+01
## 1578 15.77 12.744057 8.150365207 1.331629e+01
## 1579 15.78 13.543512 8.675661341 1.400913e+01
## 1580 15.79 14.453728 9.215550781 1.467126e+01
## 1581 15.80 15.476995 9.764855369 1.528432e+01
## 1582 15.81 16.612281 10.317019919 1.582748e+01
## 1583 15.82 17.854282 10.864031587 1.627798e+01
## 1584 15.83 19.192500 11.396413772 1.661199e+01
## 1585 15.84 20.610509 11.903323435 1.680590e+01
## 1586 15.85 22.085546 12.372778885 1.683798e+01
## 1587 15.86 23.588620 12.792037586 1.669028e+01
## 1588 15.87 25.085275 13.148128964 1.635071e+01
## 1589 15.88 26.537105 13.428525957 1.581491e+01
## 1590 15.89 27.903974 13.621913129 1.508767e+01
## 1591 15.90 29.146780 13.718983391 1.418364e+01
## 1592 15.91 30.230439 13.713176005 1.312697e+01
## 1593 15.92 31.126689 13.601262229 1.194996e+01
## 1594 15.93 31.816274 13.383694618 1.069069e+01
## 1595 15.94 32.290191 13.064668234 9.390056e+00
## 1596 15.95 32.549811 12.651877107 8.088570e+00
## 1597 15.96 32.605923 12.155998555 6.823414e+00
## 1598 15.97 32.476922 11.589972764 5.626100e+00
## 1599 15.98 32.186484 10.968169345 4.520997e+00
## 1600 15.99 31.761133 10.305538156 3.524773e+00
## 1601 16.00 31.227993 9.616828293 2.646632e+00
## 1602 16.01 30.612970 8.915932459 1.889176e+00
## 1603 16.02 29.939471 8.215397759 1.249624e+00
## 1604 16.03 29.227659 7.526107102 7.211698e-01
## 1605 16.04 28.494168 6.857119316 2.943009e-01
## 1606 16.05 27.752170 6.215642599 -4.204220e-02
## 1607 16.06 27.011679 5.607111186 -2.995270e-01
## 1608 16.07 26.279979 5.035330667 -4.897119e-01
## 1609 16.08 25.562114 4.502672623 -6.235652e-01
## 1610 16.09 24.861346 4.010280334 -7.111462e-01
## 1611 16.10 24.179586 3.558281466 -7.614380e-01
## 1612 16.11 23.517753 3.145992051 -7.822893e-01
## 1613 16.12 22.876068 2.772100575 -7.804299e-01
## 1614 16.13 22.254287 2.434831759 -7.615326e-01
## 1615 16.14 21.651875 2.132086870 -7.303040e-01
## 1616 16.15 21.068127 1.861561552 -6.905898e-01
## 1617 16.16 20.502263 1.620842080 -6.454828e-01
## 1618 16.17 19.953483 1.407482205 -5.974291e-01
## 1619 16.18 19.421005 1.219062980 -5.483264e-01
## 1620 16.19 18.904088 1.053237873 -4.996139e-01
## 1621 16.20 18.402042 0.907765610 -4.523527e-01
## 1622 16.21 17.914231 0.780532649 -4.072954e-01
## 1623 16.22 17.440073 0.669567384 -3.649471e-01
## 1624 16.23 16.979037 0.573047647 -3.256163e-01
## 1625 16.24 16.530637 0.489303001 -2.894591e-01
## 1626 16.25 16.094428 0.416813052 -2.565143e-01
## 1627 16.26 15.669998 0.354202792 -2.267343e-01
## 1628 16.27 15.256966 0.300235821 -2.000083e-01
## 1629 16.28 14.854977 0.253806152 -1.761826e-01
## 1630 16.29 14.463698 0.213929127 -1.550757e-01
## 1631 16.30 14.082815 0.179731906 -1.364905e-01
## 1632 16.31 13.712027 0.150443826 -1.202238e-01
## 1633 16.32 13.351052 0.125386919 -1.060729e-01
## 1634 16.33 12.999616 0.103966765 -9.384114e-02
## 1635 16.34 12.657458 0.085663788 -8.334140e-02
## 1636 16.35 12.324326 0.070025106 -7.439845e-02
## 1637 16.36 11.999977 0.056656964 -6.685054e-02
## 1638 16.37 11.684175 0.045217789 -6.055011e-02
## 1639 16.38 11.376691 0.035411856 -5.536404e-02
## 1640 16.39 11.077306 0.026983556 -5.117351e-02
## 1641 16.40 10.785804 0.019712241 -4.787349e-02
## 1642 16.41 10.501976 0.013407606 -4.537218e-02
## 1643 16.42 10.225619 0.007905588 -4.359021e-02
## 1644 16.43 9.956538 0.003064719 -4.245988e-02
## 1645 16.44 9.694538 -0.001237096 -4.192429e-02
## 1646 16.45 9.439435 -0.005105408 -4.193657e-02
## 1647 16.46 9.191046 -0.008631717 -4.245914e-02
## 1648 16.47 8.949195 -0.011895661 -4.346298e-02
## 1649 16.48 8.713710 -0.014966926 -4.492699e-02
## 1650 16.49 8.484423 -0.017906919 -4.683749e-02
## 1651 16.50 8.261170 -0.020770240 -4.918768e-02
## 1652 16.51 8.043795 -0.023605960 -5.197728e-02
## 1653 16.52 7.832142 -0.026458765 -5.521223e-02
## 1654 16.53 7.626061 -0.029369937 -5.890444e-02
## 1655 16.54 7.425405 -0.032378250 -6.307165e-02
## 1656 16.55 7.230033 -0.035520752 -6.773737e-02
## 1657 16.56 7.039806 -0.038833482 -7.293085e-02
## 1658 16.57 6.854589 -0.042352118 -7.868725e-02
## 1659 16.58 6.674251 -0.046112576 -8.504770e-02
## 1660 16.59 6.498666 -0.050151568 -9.205962e-02
## 1661 16.60 6.327708 -0.054507146 -9.977700e-02
## 1662 16.61 6.161257 -0.059219198 -1.082608e-01
## 1663 16.62 5.999197 -0.064329996 -1.175794e-01
## 1664 16.63 5.841414 -0.069884674 -1.278093e-01
## 1665 16.64 5.687797 -0.075931747 -1.390356e-01
## 1666 16.65 5.538241 -0.082523662 -1.513527e-01
## 1667 16.66 5.392640 -0.089717376 -1.648655e-01
## 1668 16.67 5.250896 -0.097574883 -1.796898e-01
## 1669 16.68 5.112912 -0.106163948 -1.959539e-01
## 1670 16.69 4.978593 -0.115558724 -2.137996e-01
## 1671 16.70 4.847852 -0.125840484 -2.333833e-01
## 1672 16.71 4.720601 -0.137098440 -2.548779e-01
## 1673 16.72 4.596758 -0.149430614 -2.784741e-01
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## 1675 16.74 4.358993 -0.177759547 -3.328346e-01
## 1676 16.75 4.244929 -0.194005439 -3.640875e-01
## 1677 16.76 4.133990 -0.211826225 -3.984235e-01
## 1678 16.77 4.026119 -0.231380273 -4.361545e-01
## 1679 16.78 3.921266 -0.252842091 -4.776244e-01
## 1680 16.79 3.819387 -0.276404003 -5.232129e-01
## 1681 16.80 3.720448 -0.302278018 -5.733386e-01
## 1682 16.81 3.624423 -0.330697870 -6.284634e-01
## 1683 16.82 3.531299 -0.361921268 -6.890968e-01
## 1684 16.83 3.441077 -0.396232379 -7.558008e-01
## 1685 16.84 3.353773 -0.433944563 -8.291952e-01
## 1686 16.85 3.269421 -0.475403374 -9.099634e-01
## 1687 16.86 3.188079 -0.520989861 -9.988591e-01
## 1688 16.87 3.109831 -0.571124192 -1.096713e+00
## 1689 16.88 3.034793 -0.626269629 -1.204440e+00
## 1690 16.89 2.963120 -0.686936867 -1.323049e+00
## 1691 16.90 2.895013 -0.753688786 -1.453648e+00
## 1692 16.91 2.830727 -0.827145605 -1.597460e+00
## 1693 16.92 2.770588 -0.907990488 -1.755826e+00
## 1694 16.93 2.714998 -0.996975587 -1.930220e+00
## 1695 16.94 2.664461 -1.094928533 -2.122258e+00
## 1696 16.95 2.619597 -1.202759355 -2.333711e+00
## 1697 16.96 2.581168 -1.321467777 -2.566512e+00
## 1698 16.97 2.550109 -1.452150832 -2.822770e+00
## 1699 16.98 2.527563 -1.596010659 -3.104778e+00
## 1700 16.99 2.514922 -1.754362298 -3.415019e+00
## 1701 17.00 2.513878 -1.928641221 -3.756167e+00
## 1702 17.01 2.526486 -2.120410195 -4.131090e+00
## 1703 17.02 2.555233 -2.331364948 -4.542835e+00
## 1704 17.03 2.603124 -2.563337871 -4.994611e+00
## 1705 17.04 2.673777 -2.818298746 -5.489752e+00
## 1706 17.05 2.771540 -3.098351121 -6.031662e+00
## 1707 17.06 2.901617 -3.405722507 -6.623734e+00
## 1708 17.07 3.070208 -3.742746013 -7.269228e+00
## 1709 17.08 3.284669 -4.111830317 -7.971111e+00
## 1710 17.09 3.553666 -4.515414047 -8.731829e+00
## 1711 17.10 3.887333 -4.955899655 -9.553009e+00
## 1712 17.11 4.297406 -5.435560800 -1.043507e+01
## 1713 17.12 4.797306 -5.956416202 -1.137672e+01
## 1714 17.13 5.402149 -6.520062025 -1.237432e+01
## 1715 17.14 6.128609 -7.127454507 -1.342117e+01
## 1716 17.15 6.994583 -7.778635144 -1.450658e+01
## 1717 17.16 8.018571 -8.472393094 -1.561491e+01
## 1718 17.17 9.218671 -9.205864535 -1.672457e+01
## 1719 17.18 10.611094 -9.974077555 -1.780709e+01
## 1720 17.19 12.208134 -10.769465075 -1.882652e+01
## 1721 17.20 14.015573 -11.581387779 -1.973928e+01
## 1722 17.21 16.029627 -12.395733552 -2.049502e+01
## 1723 17.22 18.233708 -13.194686477 -2.103856e+01
## 1724 17.23 20.595486 -13.956780692 -2.131348e+01
## 1725 17.24 23.064968 -14.657361977 -2.126720e+01
## 1726 17.25 25.574430 -15.269560052 -2.085739e+01
## 1727 17.26 28.040988 -15.765815636 -2.005901e+01
## 1728 17.27 30.372217 -16.119905316 -1.887059e+01
## 1729 17.28 32.474593 -16.309283413 -1.731828e+01
## 1730 17.29 34.263549 -16.317399580 -1.545624e+01
## 1731 17.30 35.673444 -16.135651831 -1.336276e+01
## 1732 17.31 36.665208 -15.764565077 -1.113226e+01
## 1733 17.32 37.230009 -15.213955694 -8.864730e+00
## 1734 17.33 37.388211 -14.502038964 -6.654674e+00
## 1735 17.34 37.184147 -13.653641744 -4.581927e+00
## 1736 17.35 36.678199 -12.697859654 -2.705711e+00
## 1737 17.36 35.938088 -11.665558441 -1.062569e+00
## 1738 17.37 35.031104 -10.587092524 3.323461e-01
## 1739 17.38 34.018262 -9.490473672 1.481646e+00
## 1740 17.39 32.950841 -8.400128727 2.400987e+00
## 1741 17.40 31.869051 -7.336233155 3.114312e+00
## 1742 17.41 30.802324 -6.314538953 3.649716e+00
## 1743 17.42 29.770558 -5.346548882 4.036286e+00
## 1744 17.43 28.785898 -4.439950499 4.301917e+00
## 1745 17.44 27.854561 -3.599159844 4.471999e+00
## 1746 17.45 26.978505 -2.825904152 4.568794e+00
## 1747 17.46 26.156830 -2.119787554 4.611256e+00
## 1748 17.47 25.386885 -1.478804162 4.615161e+00
## 1749 17.48 24.665068 -0.899780017 4.593398e+00
## 1750 17.49 23.987407 -0.378741892 4.556329e+00
## 1751 17.50 23.349928 0.088784595 4.512168e+00
## 1752 17.51 22.748898 0.507540682 4.467341e+00
## 1753 17.52 22.180948 0.882353309 4.426808e+00
## 1754 17.53 21.643128 1.218005702 4.394345e+00
## 1755 17.54 21.132931 1.519135577 4.372782e+00
## 1756 17.55 20.648267 1.790171264 4.364205e+00
## 1757 17.56 20.187439 2.035289253 4.370118e+00
## 1758 17.57 19.749099 2.258389197 4.391581e+00
## 1759 17.58 19.332216 2.463083343 4.429317e+00
## 1760 17.59 18.936035 2.652696614 4.483799e+00
## 1761 17.60 18.560046 2.830273143 4.555324e+00
## 1762 17.61 18.203959 2.998588979 4.644058e+00
## 1763 17.62 17.867680 3.160167795 4.750086e+00
## 1764 17.63 17.551295 3.317298240 4.873439e+00
## 1765 17.64 17.255055 3.472052255 5.014112e+00
## 1766 17.65 16.979373 3.626303200 5.172081e+00
## 1767 17.66 16.724813 3.781743126 5.347307e+00
## 1768 17.67 16.492090 3.939898646 5.539736e+00
## 1769 17.68 16.282068 4.102144940 5.749292e+00
## 1770 17.69 16.095765 4.269717564 5.975865e+00
## 1771 17.70 15.934347 4.443721737 6.219293e+00
## 1772 17.71 15.799135 4.625138724 6.479342e+00
## 1773 17.72 15.691599 4.814829357 6.755674e+00
## 1774 17.73 15.613362 5.013534324 7.047819e+00
## 1775 17.74 15.566187 5.221870988 7.355133e+00
## 1776 17.75 15.551969 5.440326644 7.676758e+00
## 1777 17.76 15.572716 5.669248109 8.011570e+00
## 1778 17.77 15.630525 5.908827570 8.358132e+00
## 1779 17.78 15.727543 6.159084689 8.714637e+00
## 1780 17.79 15.865917 6.419845142 9.078852e+00
## 1781 17.80 16.047735 6.690715901 9.448064e+00
## 1782 17.81 16.274939 6.971057816 9.819029e+00
## 1783 17.82 16.549235 7.259956340 1.018793e+01
## 1784 17.83 16.871968 7.556191628 1.055034e+01
## 1785 17.84 17.243993 7.858209630 1.090123e+01
## 1786 17.85 17.665519 8.164096317 1.123498e+01
## 1787 17.86 18.135952 8.471557641 1.154542e+01
## 1788 17.87 18.653720 8.777908297 1.182593e+01
## 1789 17.88 19.216119 9.080072738 1.206959e+01
## 1790 17.89 19.819161 9.374602026 1.226935e+01
## 1791 17.90 20.457473 9.657710023 1.241833e+01
## 1792 17.91 21.124233 9.925331846 1.251003e+01
## 1793 17.92 21.811188 10.173206563 1.253873e+01
## 1794 17.93 22.508750 10.396984500 1.249981e+01
## 1795 17.94 23.206189 10.592357523 1.239010e+01
## 1796 17.95 23.891930 10.755208196 1.220818e+01
## 1797 17.96 24.553937 10.881771162 1.195462e+01
## 1798 17.97 25.180172 10.968797667 1.163216e+01
## 1799 17.98 25.759100 11.013712363 1.124569e+01
## 1800 17.99 26.280196 11.014750620 1.080212e+01
## 1801 18.00 26.734417 10.971065030 1.031021e+01
## 1802 18.01 27.114593 10.882791496 9.780083e+00
## 1803 18.02 27.415700 10.751068413 9.222846e+00
## 1804 18.03 27.635004 10.578006429 8.650015e+00
## 1805 18.04 27.772049 10.366610186 8.073000e+00
## 1806 18.05 27.828515 10.120659485 7.502616e+00
## 1807 18.06 27.807956 9.844556372 6.948656e+00
## 1808 18.07 27.715467 9.543154099 6.419576e+00
## 1809 18.08 27.557290 9.221575603 5.922299e+00
## 1810 18.09 27.340424 8.885036504 5.462121e+00
## 1811 18.10 27.072248 8.538681878 5.042735e+00
## 1812 18.11 26.760196 8.187444423 4.666330e+00
## 1813 18.12 26.411493 7.835930224 4.333760e+00
## 1814 18.13 26.032949 7.488331973 4.044748e+00
## 1815 18.14 25.630823 7.148371007 3.798103e+00
## 1816 18.15 25.210744 6.819265773 3.591943e+00
## 1817 18.16 24.777684 6.503724443 3.423901e+00
## 1818 18.17 24.335964 6.203956428 3.291311e+00
## 1819 18.18 23.889286 5.921699028 3.191362e+00
## 1820 18.19 23.440793 5.658255051 3.121227e+00
## 1821 18.20 22.993128 5.414537590 3.078162e+00
## 1822 18.21 22.548501 5.191118698 3.059577e+00
## 1823 18.22 22.108754 4.988279305 3.063090e+00
## 1824 18.23 21.675426 4.806058268 3.086558e+00
## 1825 18.24 21.249809 4.644299015 3.128093e+00
## 1826 18.25 20.832995 4.502692758 3.186065e+00
## 1827 18.26 20.425925 4.380817544 3.259103e+00
## 1828 18.27 20.029422 4.278172919 3.346078e+00
## 1829 18.28 19.644227 4.194209955 3.446091e+00
## 1830 18.29 19.271023 4.128356835 3.558456e+00
## 1831 18.30 18.910464 4.080040183 3.682678e+00
## 1832 18.31 18.563187 4.048702468 3.818430e+00
## 1833 18.32 18.229838 4.033815763 3.965541e+00
## 1834 18.33 17.911081 4.034892236 4.123963e+00
## 1835 18.34 17.607616 4.051491689 4.293764e+00
## 1836 18.35 17.320189 4.083226477 4.475097e+00
## 1837 18.36 17.049609 4.129764085 4.668185e+00
## 1838 18.37 16.796753 4.190827571 4.873305e+00
## 1839 18.38 16.562581 4.266193975 5.090758e+00
## 1840 18.39 16.348146 4.355691063 5.320859e+00
## 1841 18.40 16.154603 4.459192290 5.563905e+00
## 1842 18.41 15.983219 4.576609979 5.820158e+00
## 1843 18.42 15.835379 4.707886795 6.089815e+00
## 1844 18.43 15.712593 4.852985399 6.372982e+00
## 1845 18.44 15.616502 5.011876203 6.669638e+00
## 1846 18.45 15.548872 5.184523000 6.979602e+00
## 1847 18.46 15.511598 5.370866450 7.302492e+00
## 1848 18.47 15.506688 5.570805080 7.637682e+00
## 1849 18.48 15.536252 5.784173739 7.984254e+00
## 1850 18.49 15.602470 6.010719433 8.340946e+00
## 1851 18.50 15.707563 6.250074450 8.706100e+00
## 1852 18.51 15.853737 6.501726762 9.077606e+00
## 1853 18.52 16.043123 6.764988266 9.452848e+00
## 1854 18.53 16.277694 7.038961141 9.828660e+00
## 1855 18.54 16.559169 7.322503158 1.020128e+01
## 1856 18.55 16.888889 7.614193121 1.056633e+01
## 1857 18.56 17.267687 7.912298118 1.091881e+01
## 1858 18.57 17.695733 8.214744606 1.125311e+01
## 1859 18.58 18.172369 8.519096094 1.156308e+01
## 1860 18.59 18.695947 8.822540232 1.184213e+01
## 1861 18.60 19.263663 9.121888914 1.208336e+01
## 1862 18.61 19.871420 9.413594837 1.227978e+01
## 1863 18.62 20.513720 9.693788042 1.242456e+01
## 1864 18.63 21.183618 9.958335177 1.251130e+01
## 1865 18.64 21.872739 10.202923320 1.253439e+01
## 1866 18.65 22.571386 10.423168529 1.248937e+01
## 1867 18.66 23.268744 10.614747233 1.237324e+01
## 1868 18.67 23.953186 10.773546101 1.218477e+01
## 1869 18.68 24.612663 10.895823466 1.192478e+01
## 1870 18.69 25.235172 10.978373011 1.159620e+01
## 1871 18.70 25.809260 11.018678692 1.120413e+01
## 1872 18.71 26.324533 11.015049132 1.075572e+01
## 1873 18.72 26.772118 10.966720237 1.025984e+01
## 1874 18.73 27.145049 10.873916706 9.726773e+00
## 1875 18.74 27.438524 10.737866158 9.167670e+00
## 1876 18.75 27.650034 10.560763925 8.594069e+00
## 1877 18.76 27.779342 10.345690615 8.017347e+00
## 1878 18.77 27.828323 10.096488745 7.448237e+00
## 1879 18.78 27.800702 9.817608312 6.896417e+00
## 1880 18.79 27.701699 9.513932981 6.370204e+00
## 1881 18.80 27.537650 9.190599264 5.876366e+00
## 1882 18.81 27.315604 8.852820403 5.420044e+00
## 1883 18.82 27.042962 8.505724918 5.004782e+00
## 1884 18.83 26.727151 8.154217283 4.632634e+00
## 1885 18.84 26.375361 7.802865430 4.304334e+00
## 1886 18.85 25.994355 7.455817053 4.019508e+00
## 1887 18.86 25.590334 7.116744663 3.776888e+00
## 1888 18.87 25.168866 6.788816487 3.574539e+00
## 1889 18.88 24.734858 6.474691047 3.410057e+00
## 1890 18.89 24.292570 6.176530030 3.280757e+00
## 1891 18.90 23.845648 5.896026395 3.183822e+00
## 1892 18.91 23.397184 5.634442830 3.116430e+00
## 1893 18.92 22.949776 5.392656984 3.075847e+00
## 1894 18.93 22.505595 5.171210273 3.059505e+00
## 1895 18.94 22.066454 4.970358169 3.065043e+00
## 1896 18.95 21.633865 4.790118384 3.090342e+00
## 1897 18.96 21.209098 4.630317659 3.133538e+00
## 1898 18.97 20.793230 4.490634579 3.193029e+00
## 1899 18.98 20.387188 4.370638094 3.267465e+00
## 1900 18.99 19.991788 4.269821764 3.355743e+00
## 1901 19.00 19.607762 4.187633340 3.456985e+00
## 1902 19.01 19.235792 4.123499933 3.570523e+00
## 1903 19.02 18.876528 4.076848968 3.695879e+00
## 1904 19.03 18.530608 4.047125198 3.832744e+00
## 1905 19.04 18.198679 4.033804129 3.980957e+00
## 1906 19.05 17.881408 4.036402212 4.140485e+00
## 1907 19.06 17.579499 4.054484116 4.311402e+00
## 1908 19.07 17.293705 4.087667402 4.493870e+00
## 1909 19.08 17.024839 4.135624873 4.688119e+00
## 1910 19.09 16.773788 4.198084807 4.894427e+00
## 1911 19.10 16.541519 4.274829271 5.113098e+00
## 1912 19.11 16.329097 4.365690624 5.344446e+00
## 1913 19.12 16.137685 4.470546272 5.588765e+00
## 1914 19.13 15.968562 4.589311733 5.846312e+00
## 1915 19.14 15.823126 4.721931908 6.117277e+00
## 1916 19.15 15.702898 4.868370610 6.401753e+00
## 1917 19.16 15.609532 5.028598073 6.699705e+00
## 1918 19.17 15.544807 5.202576391 7.010935e+00
## 1919 19.18 15.510629 5.390242749 7.335038e+00
## 1920 19.19 15.509017 5.591490228 7.671361e+00
## 1921 19.20 15.542087 5.806145919 8.018955e+00
## 1922 19.21 15.612027 6.033946532 8.376520e+00
## 1923 19.22 15.721056 6.274511268 8.742357e+00
## 1924 19.23 15.871376 6.527312084 9.114309e+00
## 1925 19.24 16.065106 6.791641637 9.489708e+00
## 1926 19.25 16.304198 7.066579495 9.865329e+00
## 1927 19.26 16.590337 7.350957415 1.023735e+01
## 1928 19.27 16.924822 7.643324921 1.060134e+01
## 1929 19.28 17.308425 7.941916839 1.095223e+01
## 1930 19.29 17.741242 8.244624945 1.128436e+01
## 1931 19.30 18.222525 8.548976381 1.159152e+01
## 1932 19.31 18.750518 8.852121915 1.186711e+01
## 1933 19.32 19.322295 9.150837508 1.210419e+01
## 1934 19.33 19.933626 9.441542724 1.229579e+01
## 1935 19.34 20.578873 9.720339377 1.243509e+01
## 1936 19.35 21.250948 9.983073145 1.251577e+01
## 1937 19.36 21.941342 10.225419836 1.253233e+01
## 1938 19.37 22.640238 10.442996280 1.248041e+01
## 1939 19.38 23.336731 10.631493743 1.235720e+01
## 1940 19.39 24.019134 10.786829240 1.216165e+01
## 1941 19.40 24.675385 10.905307573 1.189479e+01
## 1942 19.41 25.293515 10.983784617 1.155976e+01
## 1943 19.42 25.862157 11.019820691 1.116188e+01
## 1944 19.43 26.371049 11.011812245 1.070846e+01
## 1945 19.44 26.811494 10.959090755 1.020855e+01
## 1946 19.45 27.176728 10.861979740 9.672516e+00
## 1947 19.46 27.462175 10.721804096 9.111580e+00
## 1948 19.47 27.665553 10.540850030 8.537281e+00
## 1949 19.48 27.786840 10.322278268 7.960950e+00
## 1950 19.49 27.828106 10.069997293 7.393230e+00
## 1951 19.50 27.793235 9.788506343 6.843675e+00
## 1952 19.51 27.687575 9.482720818 6.320455e+00
## 1953 19.52 27.517545 9.157791240 5.830178e+00
## 1954 19.53 27.290245 8.818928348 5.377826e+00
## 1955 19.54 27.013089 8.471243281 4.966789e+00
## 1956 19.55 26.693487 8.119610995 4.598982e+00
## 1957 19.56 26.338596 7.768560458 4.275025e+00
## 1958 19.57 25.955126 7.422193970 3.994443e+00
## 1959 19.58 25.549216 7.084134685 3.755896e+00
## 1960 19.59 25.126370 6.757500254 3.557395e+00
## 1961 19.60 24.691430 6.444899177 3.396502e+00
## 1962 19.61 24.248591 6.148445592 3.270513e+00
## 1963 19.62 23.801444 5.869788325 3.176607e+00
## 1964 19.63 23.353028 5.610150285 3.111966e+00
## 1965 19.64 22.905898 5.370373911 3.073874e+00
## 1966 19.65 22.462185 5.150970497 3.059778e+00
## 1967 19.66 22.023671 4.952170074 3.067343e+00
## 1968 19.67 21.591842 4.773969970 3.094474e+00
## 1969 19.68 21.167947 4.616180858 3.139334e+00
## 1970 19.69 20.753046 4.478469172 3.200346e+00
## 1971 19.70 20.348055 4.360395311 3.276185e+00
## 1972 19.71 19.953779 4.261447353 3.365771e+00
## 1973 19.72 19.570947 4.181070221 3.468247e+00
## 1974 19.73 19.200234 4.118690424 3.582965e+00
## 1975 19.74 18.842290 4.073736598 3.709464e+00
## 1976 19.75 18.497753 4.045656153 3.847451e+00
## 1977 19.76 18.167271 4.033928372 3.996779e+00
## 1978 19.77 17.851515 4.038074291 4.157425e+00
## 1979 19.78 17.551194 4.057663706 4.329473e+00
## 1980 19.79 17.267065 4.092319623 4.513093e+00
## 1981 19.80 16.999949 4.141720400 4.708519e+00
## 1982 19.81 16.750739 4.205599695 4.916033e+00
## 1983 19.82 16.520414 4.283744669 5.135940e+00
## 1984 19.83 16.310046 4.375992348 5.368554e+00
## 1985 19.84 16.120811 4.482224173 5.614165e+00
## 1986 19.85 15.953998 4.602358880 5.873026e+00
## 1987 19.86 15.811017 4.736343619 6.145315e+00
## 1988 19.87 15.693403 4.884143260 6.431117e+00
## 1989 19.88 15.602821 5.045727705 6.730380e+00
## 1990 19.89 15.541065 5.221057176 7.042887e+00
## 1991 19.90 15.510050 5.410065156 7.368211e+00
## 1992 19.91 15.511806 5.612638917 7.705672e+00
## 1993 19.92 15.548457 5.828597497 8.054285e+00
## 1994 19.93 15.622196 6.057667003 8.412717e+00
## 1995 19.94 15.735242 6.299453094 8.779222e+00
## 1996 19.95 15.889791 6.553411079 9.151595e+00
## 1997 19.96 16.087949 6.818813713 9.527115e+00
## 1998 19.97 16.331644 7.094717275 9.902501e+00
## 1999 19.98 16.622529 7.379926794 1.027387e+01
## 2000 19.99 16.961855 7.672961761 1.063672e+01
## 2001 20.00 17.350333 7.972023960 1.098594e+01
## 2002 20.01 17.787980 8.274969741 1.131579e+01
## 2003 20.02 18.273957 8.579289259 1.162005e+01
## 2004 20.03 18.806395 8.882095926 1.189204e+01
## 2005 20.04 19.382245 9.180129487 1.212483e+01
## 2006 20.05 19.997139 9.469776342 1.231146e+01
## 2007 20.06 20.645297 9.747110358 1.244514e+01
## 2008 20.07 21.319488 10.007956903 1.251962e+01
## 2009 20.08 22.011066 10.247981551 1.252949e+01
## 2010 20.09 22.710097 10.462803363 1.247055e+01
## 2011 20.10 23.405585 10.648130273 1.234014e+01
## 2012 20.11 24.085790 10.799911788 1.213743e+01
## 2013 20.12 24.738639 10.914501570 1.186363e+01
## 2014 20.13 25.352204 10.988820184 1.152212e+01
## 2015 20.14 25.915210 11.020506771 1.111841e+01
## 2016 20.15 26.417535 11.008047881 1.066001e+01
## 2017 20.16 26.850660 10.950872505 1.015611e+01
## 2018 20.17 27.208036 10.849404506 9.617187e+00
## 2019 20.18 27.485311 10.705067020 9.054512e+00
## 2020 20.19 27.680434 10.520237551 8.479624e+00
## 2021 20.20 27.793600 10.298156863 7.903803e+00
## 2022 20.21 27.827075 10.042798773 7.337596e+00
## 2023 20.22 27.784902 9.758711023 6.790427e+00
## 2024 20.23 27.672553 9.450839214 6.270316e+00
## 2025 20.24 27.496529 9.124346152 5.783708e+00
## 2026 20.25 27.263974 8.784438001 5.335421e+00
## 2027 20.26 26.982313 8.436207075 4.928693e+00
## 2028 20.27 26.658940 8.084497130 4.565302e+00
## 2029 20.28 26.300972 7.733796735 4.245747e+00
## 2030 20.29 25.915066 7.388161458 3.969461e+00
## 2031 20.30 25.507298 7.051164248 3.735028e+00
## 2032 20.31 25.083105 6.725871391 3.540408e+00
## 2033 20.32 24.647262 6.414840857 3.383130e+00
## 2034 20.33 24.203904 6.120138722 3.260473e+00
## 2035 20.34 23.756561 5.843369451 3.169613e+00
## 2036 20.35 23.308223 5.585715966 3.107739e+00
## 2037 20.36 22.861398 5.347985516 3.072148e+00
## 2038 20.37 22.418181 5.130659448 3.060310e+00
## 2039 20.38 21.980321 4.933942661 3.069912e+00
## 2040 20.39 21.549277 4.757812121 3.098885e+00
## 2041 20.40 21.126280 4.602062581 3.145419e+00
## 2042 20.41 20.712373 4.466348621 3.207962e+00
## 2043 20.42 20.308459 4.350222248 3.285215e+00
## 2044 20.43 19.915334 4.253166223 3.376119e+00
## 2045 20.44 19.533722 4.174622824 3.479842e+00
## 2046 20.45 19.164295 4.114018166 3.595753e+00
## 2047 20.46 18.807700 4.070782287 3.723411e+00
## 2048 20.47 18.464575 4.044365434 3.862537e+00
## 2049 20.48 18.135572 4.034250824 4.012996e+00
## 2050 20.49 17.821364 4.039964224 4.174778e+00
## 2051 20.50 17.522664 4.061080692 4.347977e+00
## 2052 20.51 17.240236 4.097228766 4.532768e+00
## 2053 20.52 16.974908 4.148092378 4.729391e+00
## 2054 20.53 16.727581 4.213410699 4.938133e+00
## 2055 20.54 16.499242 4.292976073 5.159299e+00
## 2056 20.55 16.290974 4.386630183 5.393200e+00
## 2057 20.56 16.103964 4.494258448 5.640126e+00
## 2058 20.57 15.939513 4.615782776 5.900320e+00
## 2059 20.58 15.799043 4.751152480 6.173955e+00
## 2060 20.59 15.684103 4.900333369 6.461101e+00
## 2061 20.60 15.596369 5.063294892 6.761692e+00
## 2062 20.61 15.537648 5.239995157 7.075490e+00
## 2063 20.62 15.509867 5.430363666 7.402045e+00
## 2064 20.63 15.515067 5.634281595 7.740648e+00
## 2065 20.64 15.555380 5.851559489 8.090282e+00
## 2066 20.65 15.633001 6.081912270 8.449571e+00
## 2067 20.66 15.750149 6.324931575 8.816729e+00
## 2068 20.67 15.909015 6.580055574 9.189498e+00
## 2069 20.68 16.111689 6.846536434 9.565104e+00
## 2070 20.69 16.360076 7.123406361 9.940205e+00
## 2071 20.70 16.655793 7.409442869 1.031086e+01
## 2072 20.71 17.000040 7.703134627 1.067250e+01
## 2073 20.72 17.393467 8.002649641 1.101995e+01
## 2074 20.73 17.836009 8.305808071 1.134743e+01
## 2075 20.74 18.326729 8.610062361 1.164865e+01
## 2076 20.75 18.863646 8.912488030 1.191691e+01
## 2077 20.76 19.443582 9.209788299 1.214528e+01
## 2078 20.77 20.062030 9.498316363 1.232678e+01
## 2079 20.78 20.713064 9.774118413 1.245469e+01
## 2080 20.79 21.389306 10.033000155 1.252281e+01
## 2081 20.80 22.081976 10.270618034 1.252585e+01
## 2082 20.81 22.781023 10.482594860 1.245975e+01
## 2083 20.82 23.475361 10.664657175 1.232203e+01
## 2084 20.83 24.153200 10.812789274 1.211204e+01
## 2085 20.84 24.802463 10.923396201 1.183124e+01
## 2086 20.85 25.411269 10.993465827 1.148320e+01
## 2087 20.86 25.968441 11.020718683 1.107366e+01
## 2088 20.87 26.464001 11.003733781 1.061030e+01
## 2089 20.88 26.889622 10.942039643 1.010247e+01
## 2090 20.89 27.238967 10.836162027 9.560729e+00
## 2091 20.90 27.507920 10.687623372 8.996413e+00
## 2092 20.91 27.694659 10.498892908 8.421048e+00
## 2093 20.92 27.799601 10.273291312 7.845858e+00
## 2094 20.93 27.825203 10.014857103 7.281290e+00
## 2095 20.94 27.775671 9.728185251 6.736632e+00
## 2096 20.95 27.656595 9.418250169 6.219749e+00
## 2097 20.96 27.474557 9.090225341 5.736919e+00
## 2098 20.97 27.236742 8.749310831 5.292798e+00
## 2099 20.98 26.950584 8.400578159 4.890468e+00
## 2100 20.99 26.623456 8.048838304 4.531570e+00
## 2101 21.00 26.262434 7.698538009 4.216484e+00
## 2102 21.01 25.874117 7.353684972 3.944548e+00
## 2103 21.02 25.464520 7.017800834 3.714275e+00
## 2104 21.03 25.039010 6.693899649 3.523573e+00
## 2105 21.04 24.602296 6.384488232 3.369941e+00
## 2106 21.05 24.158449 6.091584164 3.250641e+00
## 2107 21.06 23.710941 5.816747235 3.162847e+00
## 2108 21.07 23.262711 5.561120191 3.103756e+00
## 2109 21.08 22.816220 5.325475149 3.070682e+00
## 2110 21.09 22.373527 5.110263408 3.061114e+00
## 2111 21.10 21.936348 4.915664870 3.072765e+00
## 2112 21.11 21.506119 4.741636306 3.103591e+00
## 2113 21.12 21.084047 4.587956726 3.151810e+00
## 2114 21.13 20.671161 4.454268992 3.215896e+00
## 2115 21.14 20.268352 4.340116964 3.294574e+00
## 2116 21.15 19.876408 4.244978360 3.386811e+00
## 2117 21.16 19.496045 4.168293062 3.491794e+00
## 2118 21.17 19.127933 4.109486990 3.608914e+00
## 2119 21.18 18.772718 4.067991777 3.737747e+00
## 2120 21.19 18.431038 4.043260691 3.878028e+00
## 2121 21.20 18.103547 4.034781049 4.029637e+00
## 2122 21.21 17.790922 4.042083496 4.192576e+00
## 2123 21.22 17.493880 4.064748474 4.366946e+00
## 2124 21.23 17.213192 4.102410170 4.552930e+00
## 2125 21.24 16.949693 4.154758210 4.750774e+00
## 2126 21.25 16.704292 4.221537299 4.960766e+00
## 2127 21.26 16.477986 4.302544984 5.183215e+00
## 2128 21.27 16.271868 4.397627619 5.418428e+00
## 2129 21.28 16.087136 4.506674610 5.666691e+00
## 2130 21.29 15.925103 4.629610977 5.928243e+00
## 2131 21.30 15.787205 4.766388090 6.203246e+00
## 2132 21.31 15.675002 4.916972562 6.491756e+00
## 2133 21.32 15.590186 5.081333191 6.793692e+00
## 2134 21.33 15.534573 5.259425747 7.108797e+00
## 2135 21.34 15.510105 5.451175463 7.436594e+00
## 2136 21.35 15.518831 5.656457065 7.776345e+00
## 2137 21.36 15.562890 5.875072188 8.126998e+00
## 2138 21.37 15.644483 6.106724117 8.487138e+00
## 2139 21.38 15.765827 6.350989859 8.854931e+00
## 2140 21.39 15.929105 6.607289717 9.228070e+00
## 2141 21.40 16.136391 6.874854571 9.603723e+00
## 2142 21.41 16.389565 7.152691812 9.978489e+00
## 2143 21.42 16.690206 7.439550616 1.034836e+01
## 2144 21.43 17.039463 7.733887962 1.070872e+01
## 2145 21.44 17.437918 8.033837193 1.105430e+01
## 2146 21.45 17.885424 8.337181475 1.137929e+01
## 2147 21.46 18.380941 8.641334885 1.167735e+01
## 2148 21.47 18.922373 8.943334492 1.194175e+01
## 2149 21.48 19.506410 9.239846653 1.216553e+01
## 2150 21.49 20.128401 9.527191289 1.234175e+01
## 2151 21.50 20.782272 9.801387228 1.246371e+01
## 2152 21.51 21.460500 10.058221229 1.252531e+01
## 2153 21.52 22.154165 10.293341754 1.252136e+01
## 2154 21.53 22.853100 10.502376961 1.244795e+01
## 2155 21.54 23.546134 10.681074023 1.230278e+01
## 2156 21.55 24.221429 10.825454411 1.208543e+01
## 2157 21.56 24.866910 10.931977213 1.179753e+01
## 2158 21.57 25.470750 10.997700418 1.144293e+01
## 2159 21.58 26.021874 11.020428738 1.102754e+01
## 2160 21.59 26.510462 10.998836244 1.055925e+01
## 2161 21.60 26.928379 10.932553227 1.004753e+01
## 2162 21.61 27.269511 10.822209076 9.503062e+00
## 2163 21.62 27.529977 10.669426604 8.937208e+00
## 2164 21.63 27.708195 10.476767249 8.361486e+00
## 2165 21.64 27.804800 10.247631417 7.787057e+00
## 2166 21.65 27.822443 9.986121561 7.224259e+00
## 2167 21.66 27.765488 9.696878678 6.682245e+00
## 2168 21.67 27.639644 9.384904463 6.168716e+00
## 2169 21.68 27.451570 9.055381344 5.689783e+00
## 2170 21.69 27.208490 8.713501456 5.249935e+00
## 2171 21.70 26.917840 8.364313704 4.852098e+00
## 2172 21.71 26.586973 8.012594585 4.497774e+00
## 2173 21.72 26.222918 7.662747499 4.187227e+00
## 2174 21.73 25.832218 7.318730917 3.919701e+00
## 2175 21.74 25.420821 6.984014059 3.693638e+00
## 2176 21.75 24.994026 6.661557862 3.506895e+00
## 2177 21.76 24.556473 6.353817312 3.356942e+00
## 2178 21.77 24.112169 6.062761030 3.241027e+00
## 2179 21.78 23.664528 5.789903793 3.156321e+00
## 2180 21.79 23.216436 5.536348008 3.100033e+00
## 2181 21.80 22.770311 5.302830600 3.069491e+00
## 2182 21.81 22.328173 5.089772861 3.062209e+00
## 2183 21.82 21.891706 4.897329794 3.075921e+00
## 2184 21.83 21.462321 4.725438136 3.108614e+00
## 2185 21.84 21.041204 4.573861343 3.158530e+00
## 2186 21.85 20.629369 4.442230769 3.224172e+00
## 2187 21.86 20.227696 4.330082353 3.304290e+00
## 2188 21.87 19.836962 4.236888998 3.397873e+00
## 2189 21.88 19.457880 4.162088415 3.504132e+00
## 2190 21.89 19.091116 4.105106541 3.622478e+00
## 2191 21.90 18.737314 4.065376817 3.752503e+00
## 2192 21.91 18.397114 4.042355716 3.893959e+00
## 2193 21.92 18.071171 4.035534831 4.046739e+00
## 2194 21.93 17.760167 4.044449842 4.210855e+00
## 2195 21.94 17.464823 4.068686710 4.386418e+00
## 2196 21.95 17.185918 4.107885384 4.573620e+00
## 2197 21.96 16.924292 4.161741275 4.772709e+00
## 2198 21.97 16.680865 4.230004693 4.983977e+00
## 2199 21.98 16.456642 4.312478421 5.207733e+00
## 2200 21.99 16.252727 4.409013500 5.444284e+00
## 2201 22.00 16.070330 4.519503297 5.693911e+00
## 2202 22.01 15.910777 4.643875888 5.956845e+00
## 2203 22.02 15.775516 4.782084596 6.233238e+00
## 2204 22.03 15.666120 4.934096699 6.523135e+00
## 2205 22.04 15.584294 5.099880143 6.826436e+00
## 2206 22.05 15.531869 5.279388109 7.142863e+00
## 2207 22.06 15.510796 5.472541249 7.471914e+00
## 2208 22.07 15.523136 5.679207452 7.812818e+00
## 2209 22.08 15.571035 5.899178987 8.164490e+00
## 2210 22.09 15.656696 6.132146967 8.525471e+00
## 2211 22.10 15.782336 6.377673152 8.893882e+00
## 2212 22.11 15.950127 6.635159279 9.267360e+00
## 2213 22.12 16.162129 6.903814172 9.643019e+00
## 2214 22.13 16.420192 7.182619565 1.001739e+01
## 2215 22.14 16.725856 7.470295411 1.038642e+01
## 2216 22.15 17.080217 7.765266082 1.074539e+01
## 2217 22.16 17.483785 8.065629352 1.108901e+01
## 2218 22.17 17.936327 8.369130540 1.141140e+01
## 2219 22.18 18.436701 8.673144608 1.170616e+01
## 2220 22.19 18.982686 8.974669595 1.196654e+01
## 2221 22.20 19.570838 9.270334653 1.218557e+01
## 2222 22.21 20.196361 9.556426399 1.235633e+01
## 2223 22.22 20.853028 9.828936647 1.247217e+01
## 2224 22.23 21.533168 10.083633996 1.252706e+01
## 2225 22.24 22.227723 10.316160177 1.251596e+01
## 2226 22.25 22.926411 10.522150434 1.243509e+01
## 2227 22.26 23.617975 10.697374757 1.228234e+01
## 2228 22.27 24.290538 10.837894360 1.205749e+01
## 2229 22.28 24.932029 10.940225210 1.176244e+01
## 2230 22.29 25.530681 11.001498372 1.140122e+01
## 2231 22.30 26.075534 11.019605645 1.097997e+01
## 2232 22.31 26.556928 10.993318850 1.050677e+01
## 2233 22.32 26.966929 10.922372338 9.991221e+00
## 2234 22.33 27.299653 10.807500893 9.444106e+00
## 2235 22.34 27.551462 10.650428846 8.876821e+00
## 2236 22.35 27.721011 10.453810318 8.300867e+00
## 2237 22.36 27.809158 10.221125280 7.727334e+00
## 2238 22.37 27.818749 9.956539367 7.166448e+00
## 2239 22.38 27.754303 9.664738365 6.627214e+00
## 2240 22.39 27.621646 9.350749665 6.117173e+00
## 2241 22.40 27.427510 9.019762822 5.642262e+00
## 2242 22.41 27.179154 8.676960139 5.206800e+00
## 2243 22.42 26.884017 8.327366007 4.813556e+00
## 2244 22.43 26.549424 7.975720655 4.463894e+00
## 2245 22.44 26.182358 7.626382567 4.157963e+00
## 2246 22.45 25.789302 7.283259535 3.894910e+00
## 2247 22.46 25.376135 6.949767202 3.673110e+00
## 2248 22.47 24.948086 6.628812450 3.490372e+00
## 2249 22.48 24.509727 6.322797725 3.344135e+00
## 2250 22.49 24.064999 6.033642166 3.231635e+00
## 2251 22.50 23.617259 5.762815182 3.150044e+00
## 2252 22.51 23.169338 5.511378643 3.096579e+00
## 2253 22.52 22.723611 5.280034215 3.068589e+00
## 2254 22.53 22.282059 5.069173197 3.063608e+00
## 2255 22.54 21.846336 4.878925793 3.079398e+00
## 2256 22.55 21.417826 4.709208850 3.113972e+00
## 2257 22.56 20.997697 4.559770465 3.165601e+00
## 2258 22.57 20.586945 4.430230693 3.232813e+00
## 2259 22.58 20.186439 4.320117778 3.314386e+00
## 2260 22.59 19.796950 4.228900042 3.409333e+00
## 2261 22.60 19.419183 4.156013255 3.516885e+00
## 2262 22.61 19.053802 4.100883600 3.636475e+00
## 2263 22.62 18.701449 4.062946532 3.767712e+00
## 2264 22.63 18.362767 4.041661932 3.910363e+00
## 2265 22.64 18.038411 4.036525850 4.064336e+00
## 2266 22.65 17.729069 4.047079162 4.229654e+00
## 2267 22.66 17.435467 4.072913494 4.406435e+00
## 2268 22.67 17.158389 4.113674678 4.594879e+00
## 2269 22.68 16.898685 4.169064004 4.795240e+00
## 2270 22.69 16.657282 4.238837461 5.007811e+00
## 2271 22.70 16.435197 4.322803107 5.232903e+00
## 2272 22.71 16.233544 4.420816681 5.470819e+00
## 2273 22.72 16.053544 4.532775488 5.721837e+00
## 2274 22.73 15.896537 4.658610593 5.986179e+00
## 2275 22.74 15.763982 4.798277170 6.263989e+00
## 2276 22.75 15.657469 4.951743000 6.555296e+00
## 2277 22.76 15.578714 5.118974972 6.859983e+00
## 2278 22.77 15.529561 5.299923402 7.177748e+00
## 2279 22.78 15.511974 5.494504024 7.508064e+00
## 2280 22.79 15.528023 5.702577474 7.850129e+00
## 2281 22.80 15.579861 5.923926167 8.202818e+00
## 2282 22.81 15.669694 6.158228463 8.564632e+00
## 2283 22.82 15.799737 6.405030218 8.933639e+00
## 2284 22.83 15.972152 6.663713852 9.307426e+00
## 2285 22.84 16.188979 6.933465300 9.683045e+00
## 2286 22.85 16.452042 7.213239747 1.005697e+01
## 2287 22.86 16.762836 7.501726967 1.042506e+01
## 2288 22.87 17.122400 7.797317749 1.078257e+01
## 2289 22.88 17.531173 8.098073332 1.112411e+01
## 2290 22.89 17.988831 8.401700277 1.144376e+01
## 2291 22.90 18.494121 8.705533643 1.173507e+01
## 2292 22.91 19.044700 9.006531830 1.199127e+01
## 2293 22.92 19.636984 9.301286434 1.220539e+01
## 2294 22.93 20.266026 9.586050751 1.237050e+01
## 2295 22.94 20.925445 9.856789974 1.248003e+01
## 2296 22.95 21.607418 10.109255391 1.252803e+01
## 2297 22.96 22.302751 10.339083367 1.250958e+01
## 2298 22.97 23.001046 10.541918094 1.242108e+01
## 2299 22.98 23.690966 10.713554720 1.226060e+01
## 2300 22.99 24.360594 10.850096939 1.202816e+01
## 2301 23.00 24.997874 10.948120614 1.172585e+01
## 2302 23.01 25.591105 11.004833021 1.135796e+01
## 2303 23.02 26.129447 11.018216133 1.093085e+01
## 2304 23.03 26.603410 10.987142347 1.045276e+01
## 2305 23.04 27.005272 10.911452491 9.933445e+00
## 2306 23.05 27.329382 10.791988601 9.383772e+00
## 2307 23.06 27.572350 10.630577713 8.815171e+00
## 2308 23.07 27.733073 10.429967134 8.239116e+00
## 2309 23.08 27.812633 10.193716218 7.666620e+00
## 2310 23.09 27.814070 9.926052989 7.107792e+00
## 2311 23.10 27.742058 9.631706726 6.571487e+00
## 2312 23.11 27.602537 9.315728851 6.065073e+00
## 2313 23.12 27.402309 8.983314150 5.594315e+00
## 2314 23.13 27.148666 8.639633099 5.163359e+00
## 2315 23.14 26.849044 8.289683586 4.774816e+00
## 2316 23.15 26.510737 7.938167729 4.429911e+00
## 2317 23.16 26.140680 7.589397383 4.128675e+00
## 2318 23.17 25.745294 7.247228186 3.870166e+00
## 2319 23.18 25.330387 6.915020972 3.652687e+00
## 2320 23.19 24.901118 6.595627573 3.474002e+00
## 2321 23.20 24.461986 6.291397140 3.331522e+00
## 2322 23.21 24.016869 6.004198749 3.222471e+00
## 2323 23.22 23.569063 5.735456069 3.144023e+00
## 2324 23.23 23.121347 5.486190212 3.093407e+00
## 2325 23.24 22.676052 5.257067488 3.067990e+00
## 2326 23.25 22.235121 5.048449209 3.065330e+00
## 2327 23.26 21.800175 4.860440865 3.083216e+00
## 2328 23.27 21.372575 4.692939559 3.119688e+00
## 2329 23.28 20.953467 4.545678216 3.173046e+00
## 2330 23.29 20.543833 4.418265805 3.241846e+00
## 2331 23.30 20.144530 4.310223106 3.324891e+00
## 2332 23.31 19.756321 4.221014101 3.421219e+00
## 2333 23.32 19.379905 4.150072857 3.530084e+00
## 2334 23.33 19.015944 4.096826031 3.650938e+00
## 2335 23.34 18.665080 4.060711316 3.783409e+00
## 2336 23.35 18.327956 4.041192211 3.927279e+00
## 2337 23.36 18.005231 4.037769411 4.082469e+00
## 2338 23.37 17.697595 4.049989163 4.249013e+00
## 2339 23.38 17.405781 4.077448905 4.427040e+00
## 2340 23.39 17.130581 4.119800482 4.616754e+00
## 2341 23.40 16.872851 4.176751167 4.818415e+00
## 2342 23.41 16.633528 4.248062697 5.032319e+00
## 2343 23.42 16.413640 4.333548455 5.258776e+00
## 2344 23.43 16.214310 4.433068883 5.498087e+00
## 2345 23.44 16.036775 4.546525202 5.750525e+00
## 2346 23.45 15.882384 4.673851396 6.016306e+00
## 2347 23.46 15.752613 4.815004370 6.295559e+00
## 2348 23.47 15.649063 4.969952244 6.588301e+00
## 2349 23.48 15.573465 5.138660618 6.894395e+00
## 2350 23.49 15.527677 5.321076653 7.213518e+00
## 2351 23.50 15.513673 5.517110794 7.545112e+00
## 2352 23.51 15.533534 5.726615985 7.888344e+00
## 2353 23.52 15.589419 5.949364249 8.242049e+00
## 2354 23.53 15.683536 6.185020578 8.604684e+00
## 2355 23.54 15.818098 6.433114207 8.974267e+00
## 2356 23.55 15.995255 6.693007432 9.348328e+00
## 2357 23.56 16.217028 6.963862412 9.723859e+00
## 2358 23.57 16.485208 7.244606813 1.009727e+01
## 2359 23.58 16.801246 7.533899213 1.046435e+01
## 2360 23.59 17.166123 7.830095772 1.082028e+01
## 2361 23.60 17.580198 8.131220164 1.115963e+01
## 2362 23.61 18.043055 8.434939239 1.147640e+01
## 2363 23.62 18.553328 8.738547339 1.176411e+01
## 2364 23.63 19.108544 9.038962577 1.201595e+01
## 2365 23.64 19.704976 9.332738608 1.222496e+01
## 2366 23.65 20.337522 9.616095388 1.238423e+01
## 2367 23.66 20.999646 9.884971914 1.248724e+01
## 2368 23.67 21.683369 10.135103089 1.252816e+01
## 2369 23.68 22.379360 10.362121362 1.250217e+01
## 2370 23.69 23.077107 10.561681872 1.240586e+01
## 2371 23.70 23.765194 10.729607428 1.223750e+01
## 2372 23.71 24.431671 10.862047133 1.199732e+01
## 2373 23.72 25.064503 10.955639978 1.168768e+01
## 2374 23.73 25.652061 11.007672820 1.131307e+01
## 2375 23.74 26.183636 11.016221111 1.088008e+01
## 2376 23.75 26.649918 10.980260880 1.039712e+01
## 2377 23.76 27.043399 10.899742028 9.874100e+00
## 2378 23.77 27.358675 10.775615816 9.321964e+00
## 2379 23.78 27.592605 10.609813212 8.752166e+00
## 2380 23.79 27.744333 10.405175086 8.176150e+00
## 2381 23.80 27.815166 10.165339871 7.604845e+00
## 2382 23.81 27.808339 9.894597462 7.048233e+00
## 2383 23.82 27.728680 9.597719549 6.515013e+00
## 2384 23.83 27.582239 9.279779877 6.012380e+00
## 2385 23.84 27.375888 8.945976285 5.545916e+00
## 2386 23.85 27.116944 8.601464796 5.119593e+00
## 2387 23.86 26.812837 8.251214428 4.735864e+00
## 2388 23.87 26.470828 7.899887446 4.395816e+00
## 2389 23.88 26.097802 7.551747437 4.099363e+00
## 2390 23.89 25.700112 7.210596350 3.845471e+00
## 2391 23.90 25.283497 6.879738958 3.632377e+00
## 2392 23.91 24.853039 6.561971039 3.457798e+00
## 2393 23.92 24.413171 6.259587620 3.319119e+00
## 2394 23.93 23.967700 5.974407088 3.213555e+00
## 2395 23.94 23.519865 5.707806945 3.138283e+00
## 2396 23.95 23.072392 5.460767367 3.090544e+00
## 2397 23.96 22.627566 5.233919222 3.067724e+00
## 2398 23.97 22.187292 5.027593769 3.067407e+00
## 2399 23.98 21.753161 4.841871839 3.087409e+00
## 2400 23.99 21.326507 4.676630900 3.125799e+00
## 2401 24.00 20.908457 4.531588836 3.180905e+00
## 2402 24.01 20.499979 4.406343705 3.251311e+00
## 2403 24.02 20.101917 4.300409116 3.335847e+00
## 2404 24.03 19.715027 4.213245017 3.433577e+00
## 2405 24.04 19.340003 4.144284033 3.543776e+00
## 2406 24.05 18.977504 4.092953534 3.665917e+00
## 2407 24.06 18.628171 4.058693688 3.799645e+00
## 2408 24.07 18.292650 4.040971829 3.944759e+00
## 2409 24.08 17.971602 4.039293502 4.101193e+00
## 2410 24.09 17.665721 4.053210506 4.268991e+00
## 2411 24.10 17.375748 4.082326271 4.448292e+00
## 2412 24.11 17.102478 4.126298800 4.639306e+00
## 2413 24.12 16.846780 4.184841419 4.842299e+00
## 2414 24.13 16.609599 4.257721681 5.057568e+00
## 2415 24.14 16.391971 4.344758346 5.285422e+00
## 2416 24.15 16.195035 4.445816590 5.526161e+00
## 2417 24.16 16.020036 4.560801517 5.780052e+00
## 2418 24.17 15.868341 4.689649943 6.047301e+00
## 2419 24.18 15.741437 4.832320365 6.328027e+00
## 2420 24.19 15.640939 4.988781045 6.622231e+00
## 2421 24.20 15.568593 5.158996053 6.929756e+00
## 2422 24.21 15.526269 5.342909078 7.250255e+00
## 2423 24.22 15.515955 5.540424877 7.583141e+00
## 2424 24.23 15.539739 5.751388229 7.927546e+00
## 2425 24.24 15.599789 5.975560213 8.282265e+00
## 2426 24.25 15.698314 6.212591739 8.645708e+00
## 2427 24.26 15.837520 6.461994596 9.015842e+00
## 2428 24.27 16.019548 6.723110066 9.390140e+00
## 2429 24.28 16.246395 6.995075600 9.765527e+00
## 2430 24.29 16.519821 7.276790320 1.013835e+01
## 2431 24.30 16.841227 7.566880503 1.050433e+01
## 2432 24.31 17.211532 7.863666545 1.085858e+01
## 2433 24.32 17.631016 8.165133442 1.119560e+01
## 2434 24.33 18.099161 8.468907292 1.150934e+01
## 2435 24.34 18.614487 8.772240799 1.179327e+01
## 2436 24.35 19.174386 9.072011127 1.204057e+01
## 2437 24.36 19.774981 9.364733657 1.224426e+01
## 2438 24.37 20.411014 9.646595057 1.239747e+01
## 2439 24.38 21.075787 9.913508649 1.249375e+01
## 2440 24.39 21.761168 10.161194008 1.252735e+01
## 2441 24.40 22.457684 10.385281310 1.249362e+01
## 2442 24.41 23.154712 10.581438854 1.238931e+01
## 2443 24.42 23.840762 10.745519853 1.221291e+01
## 2444 24.43 24.503855 10.873721991 1.196487e+01
## 2445 24.44 25.131981 10.962750842 1.164778e+01
## 2446 24.45 25.713597 11.009976402 1.126640e+01
## 2447 24.46 26.238132 11.013571057 1.082751e+01
## 2448 24.47 26.696462 10.972617612 1.033971e+01
## 2449 24.48 27.081306 10.887177697 9.813060e+00
## 2450 24.49 27.387510 10.758313822 9.258561e+00
## 2451 24.50 27.612192 10.588062245 8.687694e+00
## 2452 24.51 27.754745 10.379358201 8.111864e+00
## 2453 24.52 27.816705 10.135919076 7.541908e+00
## 2454 24.53 27.801496 9.862095017 6.987677e+00
## 2455 24.54 27.714102 9.562698419 6.457705e+00
## 2456 24.55 27.560679 9.242823574 5.959009e+00
## 2457 24.56 27.348164 8.907669591 5.496987e+00
## 2458 24.57 27.083899 8.562376455 5.075437e+00
## 2459 24.58 26.775303 8.211882204 4.696648e+00
## 2460 24.59 26.429603 7.860806718 4.361565e+00
## 2461 24.60 26.053625 7.513363363 4.069990e+00
## 2462 24.61 25.653658 7.173298913 3.820798e+00
## 2463 24.62 25.235364 6.843860563 3.612158e+00
## 2464 24.63 24.803753 6.527786830 3.441745e+00
## 2465 24.64 24.363184 6.227317725 3.306918e+00
## 2466 24.65 23.917397 5.944220305 3.204884e+00
## 2467 24.66 23.469571 5.679825463 3.132823e+00
## 2468 24.67 23.022379 5.435072109 3.087992e+00
## 2469 24.68 22.578059 5.210555466 3.067797e+00
## 2470 24.69 22.138481 5.006576782 3.069848e+00
## 2471 24.70 21.705203 4.823192333 3.091989e+00
## 2472 24.71 21.279535 4.660260124 3.132318e+00
## 2473 24.72 20.862584 4.517483225 3.189194e+00
## 2474 24.73 20.455301 4.394449055 3.261229e+00
## 2475 24.74 20.058522 4.290664231 3.347279e+00
## 2476 24.75 19.672992 4.205584869 3.446433e+00
## 2477 24.76 19.299404 4.138642402 3.557991e+00
## 2478 24.77 18.938411 4.089265172 3.681443e+00
## 2479 24.78 18.590656 4.056896064 3.816455e+00
## 2480 24.79 18.256786 4.041006478 3.962840e+00
## 2481 24.80 17.937465 4.041107023 4.120547e+00
## 2482 24.81 17.633392 4.056755244 4.289630e+00
## 2483 24.82 17.345314 4.087560697 4.470236e+00
## 2484 24.83 17.074035 4.133187678 4.662585e+00
## 2485 24.84 16.820430 4.193355774 4.866943e+00
## 2486 24.85 16.585456 4.267838427 5.083611e+00
## 2487 24.86 16.370159 4.356459793 5.312898e+00
## 2488 24.87 16.175690 4.459089780 5.555101e+00
## 2489 24.88 16.003309 4.575637339 5.810479e+00
## 2490 24.89 15.854393 4.706042050 6.079230e+00
## 2491 24.90 15.730445 4.850263883 6.361462e+00
## 2492 24.91 15.633096 5.008271048 6.657157e+00
## 2493 24.92 15.564104 5.180025790 6.966139e+00
## 2494 24.93 15.525354 5.365467974 7.288034e+00
## 2495 24.94 15.518844 5.564496244 7.622227e+00
## 2496 24.95 15.546673 5.776946652 7.967812e+00
## 2497 24.96 15.611014 6.002568676 8.323543e+00
## 2498 24.97 15.714077 6.240998502 8.687782e+00
## 2499 24.98 15.858064 6.491729671 9.058441e+00
## 2500 24.99 16.045102 6.754081509 9.432932e+00
## 2501 25.00 16.277164 7.027165670 9.808119e+00
## 2502 25.01 16.555973 7.309851594 1.018028e+01
## 2503 25.02 16.882882 7.600732069 1.054506e+01
## 2504 25.03 17.258741 7.898090516 1.089751e+01
## 2505 25.04 17.683747 8.199872050 1.123206e+01
## 2506 25.05 18.157278 8.503660916 1.154260e+01
## 2507 25.06 18.677731 8.806667242 1.182258e+01
## 2508 25.07 19.242361 9.105726559 1.206513e+01
## 2509 25.08 19.847137 9.397315595 1.226328e+01
## 2510 25.09 20.486639 9.677587799 1.241020e+01
## 2511 25.10 21.154004 9.942431383 1.249951e+01
## 2512 25.11 21.840943 10.187551746 1.252557e+01
## 2513 25.12 22.537844 10.408578529 1.248388e+01
## 2514 25.13 23.233973 10.601195550 1.237136e+01
## 2515 25.14 23.917767 10.761289339 1.218673e+01
## 2516 25.15 24.577228 10.885109532 1.193068e+01
## 2517 25.16 25.200377 10.969431969 1.160605e+01
## 2518 25.17 25.775764 11.011713585 1.121783e+01
## 2519 25.18 26.292966 11.010227398 1.077303e+01
## 2520 25.19 26.743058 10.964166362 1.028043e+01
## 2521 25.20 27.118993 10.873706685 9.750212e+00
## 2522 25.21 27.415873 10.740024288 9.193456e+00
## 2523 25.22 27.631082 10.565262074 8.621655e+00
## 2524 25.23 27.764266 10.352450031 8.046166e+00
## 2525 25.24 27.817190 10.105384260 7.477728e+00
## 2526 25.25 27.793472 9.828474530 6.926050e+00
## 2527 25.26 27.698247 9.526572068 6.399499e+00
## 2528 25.27 27.537774 9.204789544 5.904905e+00
## 2529 25.28 27.319050 8.868325104 5.447482e+00
## 2530 25.29 27.049440 8.522300539 5.030848e+00
## 2531 25.30 26.736349 8.171621304 4.657130e+00
## 2532 25.31 26.386964 7.820862944 4.327132e+00
## 2533 25.32 26.008053 7.474186252 4.040538e+00
## 2534 25.33 25.605833 7.135280734 3.796134e+00
## 2535 25.34 25.185892 6.807334644 3.592025e+00
## 2536 25.35 24.753162 6.493028030 3.425841e+00
## 2537 25.36 24.311928 6.194544907 3.294921e+00
## 2538 25.37 23.865864 5.913600279 3.196464e+00
## 2539 25.38 23.418086 5.651477955 3.127655e+00
## 2540 25.39 22.971215 5.409075192 3.085767e+00
## 2541 25.40 22.527444 5.186951398 3.068228e+00
## 2542 25.41 22.088602 4.985377784 3.072675e+00
## 2543 25.42 21.656219 4.804386080 3.096980e+00
## 2544 25.43 21.231578 4.643814979 3.139275e+00
## 2545 25.44 20.815767 4.503352982 3.197945e+00
## 2546 25.45 20.409724 4.382577117 3.271632e+00
## 2547 25.46 20.014270 4.280987266 3.359221e+00
## 2548 25.47 19.630147 4.198035951 3.459825e+00
## 2549 25.48 19.258040 4.133153662 3.572767e+00
## 2550 25.49 18.898602 4.085769980 3.697559e+00
## 2551 25.50 18.552476 4.055330756 3.833883e+00
## 2552 25.51 18.220309 4.041311701 3.981571e+00
## 2553 25.52 17.902769 4.043228708 4.140582e+00
## 2554 25.53 17.600562 4.060645275 4.310983e+00
## 2555 25.54 17.314440 4.093177326 4.492931e+00
## 2556 25.55 17.045215 4.140495544 4.686649e+00
## 2557 25.56 16.793771 4.202325802 4.892410e+00
## 2558 25.57 16.561074 4.278447592 5.110516e+00
## 2559 25.58 16.348185 4.368690558 5.341274e+00
## 2560 25.59 16.156264 4.472929336 5.584978e+00
## 2561 25.60 15.986585 4.591076677 5.841881e+00
## 2562 25.61 15.840541 4.723074826 6.112171e+00
## 2563 25.62 15.719648 4.868885053 6.395943e+00
## 2564 25.63 15.625552 5.028475318 6.693160e+00
## 2565 25.64 15.560025 5.201805784 7.003627e+00
## 2566 25.65 15.524966 5.388812101 7.326942e+00
## 2567 25.66 15.522385 5.589386320 7.662457e+00
## 2568 25.67 15.554390 5.803355265 8.009230e+00
## 2569 25.68 15.623160 6.030456091 8.365970e+00
## 2570 25.69 15.730906 6.270309357 8.730990e+00
## 2571 25.70 15.879821 6.522389482 9.102145e+00
## 2572 25.71 16.072019 6.785992871 9.476786e+00
## 2573 25.72 16.309447 7.060204265 9.851709e+00
## 2574 25.73 16.593789 7.343862188 1.022312e+01
## 2575 25.74 16.926345 7.635524666 1.058660e+01
## 2576 25.75 17.307894 7.933436866 1.093712e+01
## 2577 25.76 17.738543 8.235502788 1.126904e+01
## 2578 25.77 18.217564 8.539263637 1.157622e+01
## 2579 25.78 18.743227 8.841885938 1.185203e+01
## 2580 25.79 19.312641 9.140162814 1.208961e+01
## 2581 25.80 19.921616 9.430531957 1.228199e+01
## 2582 25.81 20.564567 9.709113650 1.242238e+01
## 2583 25.82 21.234461 9.971771605 1.250447e+01
## 2584 25.83 21.922852 10.214198271 1.252273e+01
## 2585 25.84 22.619987 10.432024677 1.247283e+01
## 2586 25.85 23.315021 10.620952730 1.235189e+01
## 2587 25.86 23.996326 10.776905454 1.215884e+01
## 2588 25.87 24.651885 10.896188102 1.189463e+01
## 2589 25.88 25.269766 10.975650750 1.156235e+01
## 2590 25.89 25.838616 11.012841344 1.116723e+01
## 2591 25.90 26.348172 11.006137479 1.071651e+01
## 2592 25.91 26.789718 10.954845846 1.021914e+01
## 2593 25.92 27.156449 10.859260244 9.685420e+00
## 2594 25.93 27.443737 10.720672319 9.126520e+00
## 2595 25.94 27.649231 10.541332961 8.553927e+00
## 2596 25.95 27.772839 10.324367621 7.978947e+00
## 2597 25.96 27.816553 10.073650555 7.412210e+00
## 2598 25.97 27.784188 9.793650688 6.863276e+00
## 2599 25.98 27.681025 9.489257029 6.340336e+00
## 2600 25.99 27.513429 9.165598587 5.850030e+00
## 2601 26.00 27.288452 8.827869821 5.397378e+00
## 2602 26.01 27.013473 8.481170987 4.985816e+00
## 2603 26.02 26.695882 8.130371844 4.617306e+00
## 2604 26.03 26.342820 7.780001398 4.292514e+00
## 2605 26.04 25.960994 7.434166256 4.011008e+00
## 2606 26.05 25.556549 7.096496977 3.771485e+00
## 2607 26.06 25.134992 6.770121286 3.571986e+00
## 2608 26.07 24.701180 6.457659533 3.410102e+00
## 2609 26.08 24.259321 6.161238779 3.283147e+00
## 2610 26.09 23.813020 5.882521253 3.188316e+00
## 2611 26.10 23.365332 5.622743104 3.122804e+00
## 2612 26.11 22.918824 5.382759727 3.083897e+00
## 2613 26.12 22.475644 5.163094539 3.069048e+00
## 2614 26.13 22.037583 4.963988630 3.075922e+00
## 2615 26.14 21.606139 4.785449294 3.102422e+00
## 2616 26.15 21.182570 4.627295980 3.146708e+00
## 2617 26.16 20.767946 4.489202715 3.207199e+00
## 2618 26.17 20.363188 4.370736341 3.282565e+00
## 2619 26.18 19.969109 4.271390281 3.371720e+00
## 2620 26.19 19.586442 4.190613764 3.473802e+00
## 2621 26.20 19.215867 4.127836629 3.588157e+00
## 2622 26.21 18.858036 4.082489974 3.714318e+00
## 2623 26.22 18.513592 4.054022894 3.851987e+00
## 2624 26.23 18.183185 4.041915662 4.001010e+00
## 2625 26.24 17.867487 4.045689702 4.161360e+00
## 2626 26.25 17.567208 4.064914669 4.333115e+00
## 2627 26.26 17.283106 4.099212965 4.516441e+00
## 2628 26.27 17.016004 4.148261956 4.711568e+00
## 2629 26.28 16.766794 4.211793970 4.918771e+00
## 2630 26.29 16.536453 4.289594552 5.138355e+00
## 2631 26.30 16.326052 4.381498869 5.370625e+00
## 2632 26.31 16.136767 4.487386306 5.615871e+00
## 2633 26.32 15.969885 4.607173376 5.874340e+00
## 2634 26.33 15.826812 4.740804889 6.146208e+00
## 2635 26.34 15.709080 4.888243280 6.431556e+00
## 2636 26.35 15.618349 5.049455970 6.730330e+00
## 2637 26.36 15.556408 5.224400696 7.042310e+00
## 2638 26.37 15.525168 5.413008501 7.367068e+00
## 2639 26.38 15.526650 5.615164326 7.703921e+00
## 2640 26.39 15.562974 5.830685051 8.051888e+00
## 2641 26.40 15.636321 6.059294892 8.409634e+00
## 2642 26.41 15.748903 6.300597979 8.775416e+00
## 2643 26.42 15.902906 6.554048572 9.147035e+00
## 2644 26.43 16.100425 6.818919001 9.521775e+00
## 2645 26.44 16.343381 7.094265885 9.896364e+00
## 2646 26.45 16.633416 7.378895537 1.026693e+01
## 2647 26.46 16.971773 7.671329847 1.062899e+01
## 2648 26.47 17.359156 7.969774296 1.097744e+01
## 2649 26.48 17.795578 8.272090403 1.130658e+01
## 2650 26.49 18.280199 8.575775098 1.161018e+01
## 2651 26.50 18.811154 8.877950281 1.188162e+01
## 2652 26.51 19.385402 9.175365931 1.211400e+01
## 2653 26.52 19.998592 9.464420359 1.230035e+01
## 2654 26.53 20.644964 9.741200857 1.243394e+01
## 2655 26.54 21.317316 10.001547404 1.250853e+01
## 2656 26.55 22.007038 10.241140923 1.251873e+01
## 2657 26.56 22.704238 10.455615947 1.246037e+01
## 2658 26.57 23.397964 10.640695273 1.233077e+01
## 2659 26.58 24.076524 10.792341828 1.212911e+01
## 2660 26.59 24.727894 10.906920395 1.185658e+01
## 2661 26.60 25.340190 10.981359527 1.151654e+01
## 2662 26.61 25.902173 11.013302518 1.111445e+01
## 2663 26.62 26.403750 11.001235723 1.065779e+01
## 2664 26.63 26.836420 10.944583345 1.015568e+01
## 2665 26.64 27.193637 10.843759926 9.618555e+00
## 2666 26.65 27.471045 10.700175119 9.057634e+00
## 2667 26.66 27.666571 10.516189446 8.484406e+00
## 2668 26.67 27.780382 10.295024077 7.910111e+00
## 2669 26.68 27.814707 10.040631648 7.345265e+00
## 2670 26.69 27.773551 9.757538216 6.799270e+00
## 2671 26.70 27.662343 9.450668224 6.280133e+00
## 2672 26.71 27.487543 9.125164748 5.794300e+00
## 2673 26.72 27.256259 8.786216395 5.346596e+00
## 2674 26.73 26.975883 8.438900571 4.940271e+00
## 2675 26.74 26.653780 8.088049088 4.577123e+00
## 2676 26.75 26.297048 7.738141617 4.257671e+00
## 2677 26.76 25.912325 7.393227809 3.981371e+00
## 2678 26.77 25.505680 7.056877413 3.746832e+00
## 2679 26.78 25.082542 6.732155924 3.552031e+00
## 2680 26.79 24.647684 6.421622574 3.394521e+00
## 2681 26.80 24.205241 6.127346360 3.271597e+00
## 2682 26.81 23.758746 5.850935938 3.180449e+00
## 2683 26.82 23.311193 5.593579307 3.118279e+00
## 2684 26.83 22.865094 5.356089391 3.082395e+00
## 2685 26.84 22.422551 5.138953506 3.070274e+00
## 2686 26.85 21.985318 4.942382592 3.079609e+00
## 2687 26.86 21.554860 4.766359546 3.108335e+00
## 2688 26.87 21.132411 4.610684791 3.154643e+00
## 2689 26.88 20.719022 4.475018217 3.216985e+00
## 2690 26.89 20.315601 4.358916705 3.294060e+00
## 2691 26.90 19.922947 4.261867412 3.384811e+00
## 2692 26.91 19.541788 4.183316507 3.488401e+00
## 2693 26.92 19.172800 4.122693480 3.604201e+00
## 2694 26.93 18.816633 4.079431236 3.731765e+00
## 2695 26.94 18.473931 4.052982393 3.870812e+00
## 2696 26.95 18.145344 4.042832057 4.021206e+00
## 2697 26.96 17.831551 4.048507429 4.182933e+00
## 2698 26.97 17.533267 4.069584558 4.356083e+00
## 2699 26.98 17.251258 4.105692559 4.540828e+00
## 2700 26.99 16.986353 4.156515538 4.737405e+00
## 2701 27.00 16.739456 4.221792454 4.946095e+00
## 2702 27.01 16.511554 4.301315068 5.167201e+00
## 2703 27.02 16.303732 4.394924109 5.401028e+00
## 2704 27.03 16.117178 4.502503680 5.647861e+00
## 2705 27.04 15.953193 4.623974013 5.907938e+00
## 2706 27.05 15.813199 4.759282380 6.181427e+00
## 2707 27.06 15.698743 4.908392176 6.468391e+00
## 2708 27.07 15.611501 5.071270069 6.768758e+00
## 2709 27.08 15.553275 5.247871009 7.082283e+00
## 2710 27.09 15.525991 5.438120963 7.408508e+00
## 2711 27.10 15.531684 5.641897207 7.746717e+00
## 2712 27.11 15.572479 5.859006036 8.095886e+00
## 2713 27.12 15.650564 6.089157803 8.454631e+00
## 2714 27.13 15.768149 6.331939307 8.821158e+00
## 2715 27.14 15.927411 6.586783686 9.193204e+00
## 2716 27.15 16.130427 6.852937986 9.567988e+00
## 2717 27.16 16.379087 7.129429344 9.942166e+00
## 2718 27.17 16.674988 7.415030439 1.031179e+01
## 2719 27.18 17.019311 7.708225563 1.067231e+01
## 2720 27.19 17.412683 8.007179079 1.101853e+01
## 2721 27.20 17.855018 8.309708564 1.134470e+01
## 2722 27.21 18.345355 8.613265291 1.164454e+01
## 2723 27.22 18.881692 8.914925413 1.191136e+01
## 2724 27.23 19.460831 9.211394984 1.213827e+01
## 2725 27.24 20.078251 9.499032596 1.231832e+01
## 2726 27.25 20.728015 9.773892720 1.244482e+01
## 2727 27.26 21.402745 10.031792433 1.251163e+01
## 2728 27.27 22.093669 10.268402706 1.251349e+01
## 2729 27.28 22.790753 10.479363895 1.244639e+01
## 2730 27.29 23.482941 10.660422752 1.230789e+01
## 2731 27.30 24.158483 10.807585852 1.209740e+01
## 2732 27.31 24.805353 10.917281739 1.181638e+01
## 2733 27.32 25.411728 10.986521977 1.146845e+01
## 2734 27.33 25.966491 11.013049799 1.105933e+01
## 2735 27.34 26.459731 10.995464717 1.059671e+01
## 2736 27.35 26.883177 10.933312390 1.008991e+01
## 2737 27.36 27.230549 10.827131373 9.549468e+00
## 2738 27.37 27.497771 10.678451847 8.986657e+00
## 2739 27.38 27.683057 10.489745360 8.412959e+00
## 2740 27.39 27.786838 10.264329476 7.839539e+00
## 2741 27.40 27.811577 10.006234524 7.276789e+00
## 2742 27.41 27.761474 9.720042870 6.733945e+00
## 2743 27.42 27.642099 9.410712796 6.218825e+00
## 2744 27.43 27.460011 9.083399155 5.737670e+00
## 2745 27.44 27.222365 8.743281958 5.295105e+00
## 2746 27.45 26.936559 8.395412228 4.894193e+00
## 2747 27.46 26.609936 8.044580939 4.536562e+00
## 2748 27.47 26.249537 7.695216057 4.222592e+00
## 2749 27.48 25.861935 7.351308293 3.951621e+00
## 2750 27.49 25.453118 7.016364428 3.722173e+00
## 2751 27.50 25.028431 6.693386018 3.532164e+00
## 2752 27.51 24.592567 6.384869784 3.379109e+00
## 2753 27.52 24.149581 6.092825563 3.260284e+00
## 2754 27.53 23.702938 5.818807578 3.172879e+00
## 2755 27.54 23.255566 5.563954977 3.114106e+00
## 2756 27.55 22.809924 5.329038016 3.081291e+00
## 2757 27.56 22.368067 5.114507588 3.071940e+00
## 2758 27.57 21.931711 4.920544388 3.083773e+00
## 2759 27.58 21.502290 4.747106939 3.114760e+00
## 2760 27.59 21.081014 4.593976720 3.163125e+00
## 2761 27.60 20.668914 4.460799583 3.227349e+00
## 2762 27.61 20.266882 4.347122717 3.306166e+00
## 2763 27.62 19.875709 4.252427356 3.398545e+00
## 2764 27.63 19.496116 4.176156955 3.503677e+00
## 2765 27.64 19.128774 4.117740954 3.620956e+00
## 2766 27.65 18.774332 4.076614373 3.749959e+00
## 2767 27.66 18.433434 4.052233654 3.890423e+00
## 2768 27.67 18.106735 4.044089024 4.042228e+00
## 2769 27.68 17.794917 4.051713723 4.205373e+00
## 2770 27.69 17.498701 4.074690436 4.379959e+00
## 2771 27.70 17.218861 4.112655205 4.566167e+00
## 2772 27.71 16.956234 4.165299090 4.764241e+00
## 2773 27.72 16.711736 4.232367788 4.974464e+00
## 2774 27.73 16.486366 4.313659349 5.197139e+00
## 2775 27.74 16.281219 4.409020126 5.432572e+00
## 2776 27.75 16.097499 4.518338970 5.681039e+00
## 2777 27.76 15.936522 4.641539760 5.942774e+00
## 2778 27.77 15.799724 4.778572085 6.217928e+00
## 2779 27.78 15.688669 4.929400101 6.506551e+00
## 2780 27.79 15.605048 5.093989408 6.808549e+00
## 2781 27.80 15.550679 5.272291789 7.123652e+00
## 2782 27.81 15.527503 5.464227647 7.451371e+00
## 2783 27.82 15.537564 5.669665982 7.790953e+00
## 2784 27.83 15.582998 5.888401767 8.141329e+00
## 2785 27.84 15.665995 6.120130662 8.501068e+00
## 2786 27.85 15.788764 6.364421084 8.868316e+00
## 2787 27.86 15.953471 6.620683805 9.240749e+00
## 2788 27.87 16.162172 6.888139313 9.615516e+00
## 2789 27.88 16.416724 7.165783878 9.989199e+00
## 2790 27.89 16.718676 7.452355027 1.035778e+01
## 2791 27.90 17.069144 7.746297852 1.071661e+01
## 2792 27.91 17.468671 8.045733963 1.106044e+01
## 2793 27.92 17.917067 8.348435450 1.138344e+01
## 2794 27.93 18.413244 8.651806580 1.167928e+01
## 2795 27.94 18.955055 8.952876592 1.194124e+01
## 2796 27.95 19.539141 9.248306805 1.216240e+01
## 2797 27.96 20.160802 9.534415746 1.233586e+01
## 2798 27.97 20.813921 9.807225347 1.245495e+01
## 2799 27.98 21.490941 10.062530757 1.251366e+01
## 2800 27.99 22.182921 10.295994730 1.250687e+01
## 2801 28.00 22.879689 10.503265992 1.243075e+01
## 2802 28.01 23.570087 10.680118585 1.228308e+01
## 2803 28.02 24.242313 10.822606745 1.206354e+01
## 2804 28.03 24.884347 10.927227361 1.177385e+01
## 2805 28.04 25.484435 10.991079925 1.141790e+01
## 2806 28.05 26.031597 11.012012608 1.100169e+01
## 2807 28.06 26.516115 10.988742856 1.053311e+01
## 2808 28.07 26.929961 10.920942066 1.002167e+01
## 2809 28.08 27.267131 10.809276337 9.478002e+00
## 2810 28.09 27.523843 10.655398903 8.913446e+00
## 2811 28.10 27.698598 10.461893868 8.339457e+00
## 2812 28.11 27.792100 10.232175626 7.767117e+00
## 2813 28.12 27.807048 9.970351616 7.206684e+00
## 2814 28.13 27.747831 9.681059093 6.667219e+00
## 2815 28.14 27.620166 9.369288095 6.156339e+00
## 2816 28.15 27.430700 9.040202682 5.680079e+00
## 2817 28.16 27.186633 8.698971406 5.242857e+00
## 2818 28.17 26.895366 8.350615936 4.847545e+00
## 2819 28.18 26.564210 7.999883496 4.495602e+00
## 2820 28.19 26.200151 7.651147623 4.187264e+00
## 2821 28.20 25.809689 7.308337570 3.921756e+00
## 2822 28.21 25.398729 6.974894990 3.697514e+00
## 2823 28.22 24.972531 6.653755651 3.512398e+00
## 2824 28.23 24.535702 6.347352258 3.363884e+00
## 2825 28.24 24.092220 6.057634304 3.249234e+00
## 2826 28.25 23.645476 5.786100666 3.165636e+00
## 2827 28.26 23.198335 5.533841007 3.110315e+00
## 2828 28.27 22.753202 5.301582494 3.080620e+00
## 2829 28.28 22.312085 5.089739370 3.074082e+00
## 2830 28.29 21.876659 4.898462008 3.088456e+00
## 2831 28.30 21.448331 4.727684602 3.121742e+00
## 2832 28.31 21.028284 4.577169835 3.172199e+00
## 2833 28.32 20.617529 4.446549730 3.238343e+00
## 2834 28.33 20.216946 4.335362050 3.318936e+00
## 2835 28.34 19.827315 4.243082408 3.412979e+00
## 2836 28.35 19.449349 4.169151865 3.519690e+00
## 2837 28.36 19.083717 4.113000141 3.638487e+00
## 2838 28.37 18.731067 4.074064699 3.768968e+00
## 2839 28.38 18.392043 4.051806124 3.910889e+00
## 2840 28.39 18.067304 4.045720066 4.064147e+00
## 2841 28.40 17.757536 4.055346089 4.228755e+00
## 2842 28.41 17.463468 4.080273767 4.404824e+00
## 2843 28.42 17.185880 4.120146295 4.592544e+00
## 2844 28.43 16.925621 4.174661877 4.792164e+00
## 2845 28.44 16.683616 4.243573093 5.003970e+00
## 2846 28.45 16.460876 4.326684389 5.228268e+00
## 2847 28.46 16.258511 4.423847791 5.465357e+00
## 2848 28.47 16.077737 4.534956887 5.715511e+00
## 2849 28.48 15.919887 4.659939131 5.978952e+00
## 2850 28.49 15.786413 4.798746285 6.255821e+00
## 2851 28.50 15.678895 4.951343029 6.546147e+00
## 2852 28.51 15.599040 5.117693570 6.849818e+00
## 2853 28.52 15.548683 5.297746095 7.166534e+00
## 2854 28.53 15.529776 5.491414896 7.495775e+00
## 2855 28.54 15.544378 5.698560016 7.836746e+00
## 2856 28.55 15.594631 5.918964296 8.188336e+00
## 2857 28.56 15.682730 6.152307742 8.549059e+00
## 2858 28.57 15.810878 6.398139271 8.917003e+00
## 2859 28.58 15.981231 6.655846021 9.289777e+00
## 2860 28.59 16.195821 6.924620510 9.664458e+00
## 2861 28.60 16.456468 7.203426590 1.003755e+01
## 2862 28.61 16.764671 7.490964986 1.040495e+01
## 2863 28.62 17.121476 7.785639873 1.076195e+01
## 2864 28.63 17.527335 8.085528387 1.110320e+01
## 2865 28.64 17.981947 8.388355486 1.142282e+01
## 2866 28.65 18.484095 8.691476977 1.171441e+01
## 2867 28.66 19.031477 8.991873961 1.197123e+01
## 2868 28.67 19.620565 9.286162192 1.218635e+01
## 2869 28.68 20.246476 9.570619817 1.235288e+01
## 2870 28.69 20.902905 9.841236601 1.246425e+01
## 2871 28.70 21.582112 10.093786880 1.251452e+01
## 2872 28.71 22.274987 10.323927159 1.249874e+01
## 2873 28.72 22.971219 10.527317364 1.241329e+01
## 2874 28.73 23.659551 10.699762493 1.225618e+01
## 2875 28.74 24.328134 10.837368862 1.202734e+01
## 2876 28.75 24.964964 10.936706682 1.172879e+01
## 2877 28.76 25.558371 10.994968688 1.136471e+01
## 2878 28.77 26.097520 11.010113344 1.094133e+01
## 2879 28.78 26.572902 10.980981129 1.046679e+01
## 2880 28.79 26.976745 10.907373703 9.950751e+00
## 2881 28.80 27.303332 10.790088395 9.403981e+00
## 2882 28.81 27.549184 10.630904085 8.837840e+00
## 2883 28.82 27.713100 10.432518909 8.263756e+00
## 2884 28.83 27.796057 10.198444250 7.692721e+00
## 2885 28.84 27.800992 9.932864324 7.134844e+00
## 2886 28.85 27.732488 9.640470034 6.599003e+00
## 2887 28.86 27.596399 9.326280982 6.092609e+00
## 2888 28.87 27.399461 8.995467529 5.621478e+00
## 2889 28.88 27.148912 8.653183206 5.189817e+00
## 2890 28.89 26.852151 8.304416743 4.800303e+00
## 2891 28.90 26.516452 7.953868687 4.454228e+00
## 2892 28.91 26.148740 7.605855504 4.151682e+00
## 2893 28.92 25.755439 7.264242285 3.891779e+00
## 2894 28.93 25.342367 6.932403300 3.672868e+00
## 2895 28.94 24.914696 6.613206629 3.492752e+00
## 2896 28.95 24.476949 6.309019401 3.348872e+00
## 2897 28.96 24.033019 6.021729482 3.238477e+00
## 2898 28.97 23.586228 5.752779424 3.158757e+00
## 2899 28.98 23.139373 5.503208750 3.106950e+00
## 2900 28.99 22.694805 5.273701191 3.080430e+00
## 2901 29.00 22.254485 5.064634022 3.076755e+00
## 2902 29.01 21.820050 4.876127193 3.093713e+00
## 2903 29.02 21.392874 4.708090586 3.129340e+00
## 2904 29.03 20.974117 4.560268198 3.181930e+00
## 2905 29.04 20.564771 4.432278381 3.250031e+00
## 2906 29.05 20.165700 4.323649803 3.332440e+00
## 2907 29.06 19.777677 4.233852845 3.428186e+00
## 2908 29.07 19.401407 4.162326537 3.536516e+00
## 2909 29.08 19.037555 4.108501220 3.656872e+00
## 2910 29.09 18.686770 4.071817154 3.788873e+00
## 2911 29.10 18.349697 4.051739412 3.932297e+00
## 2912 29.11 18.026997 4.047769388 4.087055e+00
## 2913 29.12 17.719363 4.059453274 4.253174e+00
## 2914 29.13 17.427529 4.086387812 4.430776e+00
## 2915 29.14 17.152286 4.128223616 4.620060e+00
## 2916 29.15 16.894491 4.184666196 4.821280e+00
## 2917 29.16 16.655081 4.255475148 5.034726e+00
## 2918 29.17 16.435081 4.340461426 5.260701e+00
## 2919 29.18 16.235613 4.439482790 5.499503e+00
## 2920 29.19 16.057910 4.552437566 5.751400e+00
## 2921 29.20 15.903318 4.679256677 6.016602e+00
## 2922 29.21 15.773308 4.819893877 6.295237e+00
## 2923 29.22 15.669476 4.974314093 6.587316e+00
## 2924 29.23 15.593546 5.142479784 6.892702e+00
## 2925 29.24 15.547368 5.324335064 7.211069e+00
## 2926 29.25 15.532910 5.519787501 7.541858e+00
## 2927 29.26 15.552241 5.728687447 7.884237e+00
## 2928 29.27 15.607511 5.950804745 8.237044e+00
## 2929 29.28 15.700917 6.185802653 8.598739e+00
## 2930 29.29 15.834658 6.433209318 8.967348e+00
## 2931 29.30 16.010875 6.692386818 9.340409e+00
## 2932 29.31 16.231576 6.962498187 9.714925e+00
## 2933 29.32 16.498539 7.242473196 1.008732e+01
## 2934 29.33 16.813208 7.530973970 1.045341e+01
## 2935 29.34 17.176555 7.826361897 1.080840e+01
## 2936 29.35 17.588935 8.126667778 1.114687e+01
## 2937 29.36 18.049932 8.429567665 1.146287e+01
## 2938 29.37 18.558187 8.732367288 1.174994e+01
## 2939 29.38 19.111240 9.031998359 1.200132e+01
## 2940 29.39 19.705383 9.325030267 1.221007e+01
## 2941 29.40 20.335545 9.607700587 1.236932e+01
## 2942 29.41 20.995228 9.875967419 1.247259e+01
## 2943 29.42 21.676502 10.125585644 1.251406e+01
## 2944 29.43 22.370089 10.352207783 1.248894e+01
## 2945 29.44 23.065538 10.551508166 1.239382e+01
## 2946 29.45 23.751497 10.719326844 1.222697e+01
## 2947 29.46 24.416079 10.851827065 1.198858e+01
## 2948 29.47 25.047306 10.945657777 1.168098e+01
## 2949 29.48 25.633601 10.998110666 1.130862e+01
## 2950 29.49 26.164292 11.007260179 1.087801e+01
## 2951 29.50 26.630091 10.972075171 1.039751e+01
## 2952 29.51 27.023497 10.892492259 9.876955e+00
## 2953 29.52 27.339094 10.769443786 9.327203e+00
## 2954 29.53 27.573714 10.604837073 8.759651e+00
## 2955 29.54 27.726461 10.401485894 8.185686e+00
## 2956 29.55 27.798593 10.162999415 7.616194e+00
## 2957 29.56 27.793284 9.893636971 7.061128e+00
## 2958 29.57 27.715307 9.598141060 6.529173e+00
## 2959 29.58 27.570653 9.281558399 6.027521e+00
## 2960 29.59 27.366141 8.949062865 5.561766e+00
## 2961 29.60 27.109043 8.605790354 5.135902e+00
## 2962 29.61 26.806749 8.256693404 4.752405e+00
## 2963 29.62 26.466493 7.906422200 4.412392e+00
## 2964 29.63 26.095136 7.559232765 4.115814e+00
## 2965 29.64 25.699016 7.218923490 3.861668e+00
## 2966 29.65 25.283866 6.888798691 3.648222e+00
## 2967 29.66 24.854765 6.571656616 3.473222e+00
## 2968 29.67 24.416146 6.269797083 3.334078e+00
## 2969 29.68 23.971823 5.985045002 3.228025e+00
## 2970 29.69 23.525038 5.718785608 3.152258e+00
## 2971 29.70 23.078529 5.472007568 3.104033e+00
## 2972 29.71 22.634586 5.245350591 3.080745e+00
## 2973 29.72 22.195124 5.039154803 3.079986e+00
## 2974 29.73 21.761743 4.853509676 3.099578e+00
## 2975 29.74 21.335784 4.688300885 3.137593e+00
## 2976 29.75 20.918383 4.543253923 3.192359e+00
## 2977 29.76 20.510513 4.417973788 3.262462e+00
## 2978 29.77 20.113025 4.311980300 3.346729e+00
## 2979 29.78 19.726680 4.224738883 3.444222e+00
## 2980 29.79 19.352179 4.155686890 3.554215e+00
## 2981 29.80 18.990185 4.104255665 3.676175e+00
## 2982 29.81 18.641343 4.069888638 3.809745e+00
## 2983 29.82 18.306303 4.052055728 3.954720e+00
## 2984 29.83 17.985728 4.050264422 4.111029e+00
## 2985 29.84 17.680318 4.064067858 4.278713e+00
## 2986 29.85 17.390814 4.093070221 4.457904e+00
## 2987 29.86 17.118015 4.136929746 4.648809e+00
## 2988 29.87 16.862791 4.195359563 4.851688e+00
## 2989 29.88 16.626088 4.268126457 5.066832e+00
## 2990 29.89 16.408946 4.355047957 5.294546e+00
## 2991 29.90 16.212501 4.455987596 5.535122e+00
## 2992 29.91 16.038002 4.570848399 5.788822e+00
## 2993 29.92 15.886813 4.699564673 6.055845e+00
## 2994 29.93 15.760419 4.842091987 6.336302e+00
## 2995 29.94 15.660435 4.998395242 6.630187e+00
## 2996 29.95 15.588603 5.168434708 6.937335e+00
## 2997 29.96 15.546788 5.352149889 7.257391e+00
## 2998 29.97 15.536972 5.549440966 7.589760e+00
## 2999 29.98 15.561236 5.760147754 7.933563e+00
## 3000 29.99 15.621738 5.984026039 8.287591e+00
## 3001 30.00 15.720675 6.220721267 8.650243e+00
## 3002 30.01 15.860241 6.469739517 9.019480e+00
## 3003 30.02 16.042559 6.730416294 9.392769e+00
## 3004 30.03 16.269609 7.001883410 9.767034e+00
## 3005 30.04 16.543127 7.283034698 1.013862e+01
## 3006 30.05 16.864495 7.572491733 1.050325e+01
## 3007 30.06 17.234605 7.868571107 1.085604e+01
## 3008 30.07 17.653710 8.169255265 1.119151e+01
## 3009 30.08 18.121269 8.472169465 1.150362e+01
## 3010 30.09 18.635776 8.774567697 1.178588e+01
## 3011 30.10 19.194603 9.073330984 1.203148e+01
## 3012 30.11 19.793856 9.364981535 1.223349e+01
## 3013 30.12 20.428267 9.645716193 1.238510e+01
## 3014 30.13 21.091137 9.911462034 1.247988e+01
## 3015 30.14 21.774345 10.157956039 1.251215e+01
## 3016 30.15 22.468441 10.380849284 1.247731e+01
## 3017 30.16 23.162836 10.575834051 1.237217e+01
## 3018 30.17 23.846089 10.738789925 1.219525e+01
## 3019 30.18 24.506281 10.865942367 1.194706e+01
## 3020 30.19 25.131472 10.954024917 1.163020e+01
## 3021 30.20 25.710192 11.000434343 1.124943e+01
## 3022 30.21 26.231946 11.003367157 1.081153e+01
## 3023 30.22 26.687684 10.961926269 1.032507e+01
## 3024 30.23 27.070190 10.876188231 9.800069e+00
## 3025 30.24 27.374360 10.747224360 9.247475e+00
## 3026 30.25 27.597351 10.577073183 8.678702e+00
## 3027 30.26 27.738579 10.368665640 8.105086e+00
## 3028 30.27 27.799585 10.125708677 7.537397e+00
## 3029 30.28 27.783785 9.852536523 6.985417e+00
## 3030 30.29 27.696139 9.553940949 6.457625e+00
## 3031 30.30 27.542770 9.234992691 5.960990e+00
## 3032 30.31 27.330576 8.900865766 5.500875e+00
## 3033 30.32 27.066858 8.556674847 5.081053e+00
## 3034 30.33 26.758992 8.207333473 4.703802e+00
## 3035 30.34 26.414166 7.857438191 4.370061e+00
## 3036 30.35 26.039168 7.511181010 4.079635e+00
## 3037 30.36 25.640253 7.172290250 3.831410e+00
## 3038 30.37 25.223059 6.843997908 3.623573e+00
## 3039 30.38 24.792571 6.529030237 3.453813e+00
## 3040 30.39 24.353132 6.229617811 3.319513e+00
## 3041 30.40 23.908470 5.947521150 3.217896e+00
## 3042 30.41 23.461752 5.684067124 3.146165e+00
## 3043 30.42 23.015649 5.440192744 3.101592e+00
## 3044 30.43 22.572395 5.216493209 3.081602e+00
## 3045 30.44 22.133858 5.013271428 3.083818e+00
## 3046 30.45 21.701598 4.830586179 3.106097e+00
## 3047 30.46 21.276925 4.668298954 3.146549e+00
## 3048 30.47 20.860951 4.526116965 3.203541e+00
## 3049 30.48 20.454630 4.403632114 3.275692e+00
## 3050 30.49 20.058799 4.300355699 3.361865e+00
## 3051 30.50 19.674211 4.215748524 3.461152e+00
## 3052 30.51 19.301559 4.149246623 3.572856e+00
## 3053 30.52 18.941504 4.100282739 3.696471e+00
## 3054 30.53 18.594692 4.068303864 3.831661e+00
## 3055 30.54 18.261773 4.052785150 3.978242e+00
## 3056 30.55 17.943418 4.053240541 4.136158e+00
## 3057 30.56 17.640330 4.069230461 4.305464e+00
## 3058 30.57 17.353258 4.100366854 4.486304e+00
## 3059 30.58 17.083013 4.146315860 4.678893e+00
## 3060 30.59 16.830473 4.206798357 4.883495e+00
## 3061 30.60 16.596600 4.281588538 5.100403e+00
## 3062 30.61 16.382445 4.370510663 5.329922e+00
## 3063 30.62 16.189162 4.473434065 5.572339e+00
## 3064 30.63 16.018013 4.590266421 5.827907e+00
## 3065 30.64 15.870381 4.720945281 6.096813e+00
## 3066 30.65 15.747770 4.865427813 6.379154e+00
## 3067 30.66 15.651811 5.023678573 6.674900e+00
## 3068 30.67 15.584265 5.195655226 6.983861e+00
## 3069 30.68 15.547012 5.381292072 7.305647e+00
## 3070 30.69 15.542050 5.580481183 7.639626e+00
## 3071 30.70 15.571470 5.793050909 7.984873e+00
## 3072 30.71 15.637437 6.018741887 8.340122e+00
## 3073 30.72 15.742149 6.257180361 8.703713e+00
## 3074 30.73 15.887789 6.507848903 9.073538e+00
## 3075 30.74 16.076465 6.770054845 9.446988e+00
## 3076 30.75 16.310124 7.042896945 9.820904e+00
## 3077 30.76 16.590454 7.325231085 1.019154e+01
## 3078 30.77 16.918771 7.615636172 1.055455e+01
## 3079 30.78 17.295880 7.912381846 1.090494e+01
## 3080 30.79 17.721928 8.213400106 1.123716e+01
## 3081 30.80 18.196238 8.516263389 1.154510e+01
## 3082 30.81 18.717150 8.818172160 1.182222e+01
## 3083 30.82 19.281857 9.115955357 1.206169e+01
## 3084 30.83 19.886273 9.406087194 1.225657e+01
## 3085 30.84 20.524923 9.684723682 1.240011e+01
## 3086 30.85 21.190902 9.947761629 1.248598e+01
## 3087 30.86 21.875893 10.190921862 1.250864e+01
## 3088 30.87 22.570272 10.409856831 1.246367e+01
## 3089 30.88 23.263314 10.600280668 1.234812e+01
## 3090 30.89 23.943494 10.758117408 1.216081e+01
## 3091 30.90 24.598871 10.879660510 1.190252e+01
## 3092 30.91 25.217553 10.961734510 1.157619e+01
## 3093 30.92 25.788195 11.001847972 1.118686e+01
## 3094 30.93 26.300494 10.998326116 1.074161e+01
## 3095 30.94 26.745654 10.950412094 1.024922e+01
## 3096 30.95 27.116760 10.858327706 9.719863e+00
## 3097 30.96 27.409038 10.723287485 9.164583e+00
## 3098 30.97 27.619977 10.547464032 8.594801e+00
## 3099 30.98 27.749314 10.333906794 8.021789e+00
## 3100 30.99 27.798877 10.086420517 7.456184e+00
## 3101 31.00 27.772324 9.809412845 6.907589e+00
## 3102 31.01 27.674801 9.507722998 6.384266e+00
## 3103 31.02 27.512561 9.186443041 5.892947e+00
## 3104 31.03 27.292574 8.850743704 5.438760e+00
## 3105 31.04 27.022164 8.505714395 5.025249e+00
## 3106 31.05 26.708689 8.156225218 4.654487e+00
## 3107 31.06 26.359280 7.806815197 4.327238e+00
## 3108 31.07 25.980652 7.461609049 4.043161e+00
## 3109 31.08 25.578969 7.124261981 3.801031e+00
## 3110 31.09 25.159770 6.797930673 3.598953e+00
## 3111 31.10 24.727944 6.485267041 3.434567e+00
## 3112 31.11 24.287740 6.188430797 3.305224e+00
## 3113 31.12 23.842799 5.909116599 3.208144e+00
## 3114 31.13 23.396214 5.648591881 3.140536e+00
## 3115 31.14 22.950585 5.407741224 3.099693e+00
## 3116 31.15 22.508091 5.187114772 3.083068e+00
## 3117 31.16 22.070551 4.986977565 3.088320e+00
## 3118 31.17 21.639486 4.807357850 3.113344e+00
## 3119 31.18 21.216175 4.648093045 3.156288e+00
## 3120 31.19 20.801705 4.508872254 3.215556e+00
## 3121 31.20 20.397013 4.389274611 3.289806e+00
## 3122 31.21 20.002921 4.288803245 3.377936e+00
## 3123 31.22 19.620173 4.206914763 3.479069e+00
## 3124 31.23 19.249458 4.143044321 3.592537e+00
## 3125 31.24 18.891432 4.096626493 3.717861e+00
## 3126 31.25 18.546744 4.067112261 3.854727e+00
## 3127 31.26 18.216045 4.053982422 4.002972e+00
## 3128 31.27 17.900011 4.056757768 4.162556e+00
## 3129 31.28 17.599351 4.075006366 4.333548e+00
## 3130 31.29 17.314825 4.108348259 4.516102e+00
## 3131 31.30 17.047253 4.156457787 4.710442e+00
## 3132 31.31 16.797524 4.219063793 4.916836e+00
## 3133 31.32 16.566613 4.295948001 5.135579e+00
## 3134 31.33 16.355587 4.386941500 5.366973e+00
## 3135 31.34 16.165615 4.491919470 5.611302e+00
## 3136 31.35 15.997977 4.610794202 5.868809e+00
## 3137 31.36 15.854074 4.743506367 6.139668e+00
## 3138 31.37 15.735427 4.890014449 6.423957e+00
## 3139 31.38 15.643687 5.050282248 6.721623e+00
## 3140 31.39 15.580632 5.224264307 7.032449e+00
## 3141 31.40 15.548160 5.411889054 7.356009e+00
## 3142 31.41 15.548281 5.613039554 7.691628e+00
## 3143 31.42 15.583100 5.827531728 8.038333e+00
## 3144 31.43 15.654786 6.055089916 8.394801e+00
## 3145 31.44 15.765536 6.295319795 8.759308e+00
## 3146 31.45 15.917524 6.547678774 9.129672e+00
## 3147 31.46 16.112836 6.811444155 9.503204e+00
## 3148 31.47 16.353382 7.085679634 9.876661e+00
## 3149 31.48 16.640801 7.369200985 1.024621e+01
## 3150 31.49 16.976335 7.660542165 1.060740e+01
## 3151 31.50 17.360698 7.957923533 1.095516e+01
## 3152 31.51 17.793918 8.259224326 1.128386e+01
## 3153 31.52 18.275178 8.561962040 1.158732e+01
## 3154 31.53 18.802652 8.863281794 1.185894e+01
## 3155 31.54 19.373346 9.159958932 1.209188e+01
## 3156 31.55 19.982970 9.448418715 1.227921e+01
## 3157 31.56 20.625837 9.724776458 1.241424e+01
## 3158 31.57 21.294828 9.984899878 1.249073e+01
## 3159 31.58 21.981424 10.224495790 1.250332e+01
## 3160 31.59 22.675828 10.439221248 1.244778e+01
## 3161 31.60 23.367182 10.624816663 1.232143e+01
## 3162 31.61 24.043882 10.777256059 1.212335e+01
## 3163 31.62 24.693976 10.892907325 1.185468e+01
## 3164 31.63 25.305635 10.968692928 1.151866e+01
## 3165 31.64 25.867652 11.002240317 1.112064e+01
## 3166 31.65 26.369937 10.992010336 1.066798e+01
## 3167 31.66 26.803965 10.937392751 1.016969e+01
## 3168 31.67 27.163140 10.838760077 9.636086e+00
## 3169 31.68 27.443028 10.697474287 9.078296e+00
## 3170 31.69 27.641466 10.515844929 8.507738e+00
## 3171 31.70 27.758518 10.297041432 7.935606e+00
## 3172 31.71 27.796303 10.044966385 7.372393e+00
## 3173 31.72 27.758722 9.764099757 6.827506e+00
## 3174 31.73 27.651105 9.459325668 6.308978e+00
## 3175 31.74 27.479832 9.135753979 5.823296e+00
## 3176 31.75 27.251938 8.798547990 5.375339e+00
## 3177 31.76 26.974763 8.452767678 4.968423e+00
## 3178 31.77 26.655638 8.103235601 4.604411e+00
## 3179 31.78 26.301637 7.754429260 4.283888e+00
## 3180 31.79 25.919390 7.410402269 4.006369e+00
## 3181 31.80 25.514967 7.074733422 3.770518e+00
## 3182 31.81 25.093805 6.750501384 3.574360e+00
## 3183 31.82 24.660694 6.440281270 3.415487e+00
## 3184 31.83 24.219785 6.146159693 3.291224e+00
## 3185 31.84 23.774631 5.869764003 3.198787e+00
## 3186 31.85 23.328247 5.612300960 3.135394e+00
## 3187 31.86 22.883165 5.374602032 3.098363e+00
## 3188 31.87 22.441505 5.157171869 3.085179e+00
## 3189 31.88 22.005039 4.960237603 3.093535e+00
## 3190 31.89 21.575248 4.783796844 3.121367e+00
## 3191 31.90 21.153381 4.627662978 3.166861e+00
## 3192 31.91 20.740499 4.491507136 3.228464e+00
## 3193 31.92 20.337520 4.374895943 3.304869e+00
## 3194 31.93 19.945256 4.277324730 3.395011e+00
## 3195 31.94 19.564439 4.198246316 3.498046e+00
## 3196 31.95 19.195754 4.137095414 3.613336e+00
## 3197 31.96 18.839856 4.093308885 3.740428e+00
## 3198 31.97 18.497392 4.066342152 3.879032e+00
## 3199 31.98 18.169019 4.055682098 4.029004e+00
## 3200 31.99 17.855417 4.060856778 4.190322e+00
## 3201 32.00 17.557303 4.081442289 4.363068e+00
## 3202 32.01 17.275445 4.117067081 4.547408e+00
## 3203 32.02 17.010674 4.167413971 4.743573e+00
## 3204 32.03 16.763893 4.232220083 4.951833e+00
## 3205 32.04 16.536089 4.311274871 5.172488e+00
## 3206 32.05 16.328346 4.404416338 5.405835e+00
## 3207 32.06 16.141848 4.511525524 5.652153e+00
## 3208 32.07 15.977896 4.632519257 5.911674e+00
## 3209 32.08 15.837906 4.767341145 6.184559e+00
## 3210 32.09 15.723421 4.915950708 6.470865e+00
## 3211 32.10 15.636110 5.078310588 6.770516e+00
## 3212 32.11 15.577770 5.254371620 7.083261e+00
## 3213 32.12 15.550315 5.444055621 7.408639e+00
## 3214 32.13 15.555772 5.647235764 7.745931e+00
## 3215 32.14 15.596253 5.863714397 8.094109e+00
## 3216 32.15 15.673933 6.093198203 8.451792e+00
## 3217 32.16 15.791008 6.335270732 8.817185e+00
## 3218 32.17 15.949639 6.589362450 9.188031e+00
## 3219 32.18 16.151887 6.854718627 9.561557e+00
## 3220 32.19 16.399623 7.130365686 9.934430e+00
## 3221 32.20 16.694429 7.415076907 1.030272e+01
## 3222 32.21 17.037468 7.707338801 1.066188e+01
## 3223 32.22 17.429355 8.005319905 1.100677e+01
## 3224 32.23 17.869990 8.306844217 1.133165e+01
## 3225 32.24 18.358408 8.609372007 1.163027e+01
## 3226 32.25 18.892606 8.909991111 1.189600e+01
## 3227 32.26 19.469393 9.205421947 1.212198e+01
## 3228 32.27 20.084265 9.492040414 1.230130e+01
## 3229 32.28 20.731314 9.765921261 1.242733e+01
## 3230 32.29 21.403199 10.022904206 1.249396e+01
## 3231 32.30 22.091198 10.258684454 1.249599e+01
## 3232 32.31 22.785337 10.468927418 1.242941e+01
## 3233 32.32 23.474630 10.649404729 1.229182e+01
## 3234 32.33 24.147401 10.796146428 1.208262e+01
## 3235 32.34 24.791700 10.905601684 1.180326e+01
## 3236 32.35 25.395775 10.974798437 1.145731e+01
## 3237 32.36 25.948576 11.001490811 1.105048e+01
## 3238 32.37 26.440244 10.984282855 1.059037e+01
## 3239 32.38 26.862546 10.922717812 1.008622e+01
## 3240 32.39 27.209220 10.817324710 9.548495e+00
## 3241 32.40 27.476191 10.669617388 8.988397e+00
## 3242 32.41 27.661653 10.482045180 8.417325e+00
## 3243 32.42 27.766005 10.257898656 7.846378e+00
## 3244 32.43 27.791663 10.001177840 7.285891e+00
## 3245 32.44 27.742769 9.716433116 6.745061e+00
## 3246 32.45 27.624836 9.408590654 6.231678e+00
## 3247 32.46 27.444362 9.082774515 5.751973e+00
## 3248 32.47 27.208445 8.744136457 5.310573e+00
## 3249 32.48 26.924432 8.397702536 4.910554e+00
## 3250 32.49 26.599621 8.048243180 4.553567e+00
## 3251 32.50 26.241019 7.700170023 4.240018e+00
## 3252 32.51 25.855169 7.357461716 3.969278e+00
## 3253 32.52 25.448039 7.023617105 3.739900e+00
## 3254 32.53 25.024963 6.701633756 3.549834e+00
## 3255 32.54 24.590623 6.394007418 3.396622e+00
## 3256 32.55 24.149074 6.102749791 3.277569e+00
## 3257 32.56 23.703779 5.829419237 3.189887e+00
## 3258 32.57 23.257672 5.575160715 3.130809e+00
## 3259 32.58 22.813215 5.340751669 3.097679e+00
## 3260 32.59 22.372472 5.126650704 3.088013e+00
## 3261 32.60 21.937164 4.933046755 3.099544e+00
## 3262 32.61 21.508734 4.759906660 3.130250e+00
## 3263 32.62 21.088398 4.607019918 3.178358e+00
## 3264 32.63 20.677195 4.474040019 3.242356e+00
## 3265 32.64 20.276024 4.360521444 3.320976e+00
## 3266 32.65 19.885682 4.265952151 3.413190e+00
## 3267 32.66 19.506896 4.189781637 3.518188e+00
## 3268 32.67 19.140344 4.131444665 3.635362e+00
## 3269 32.68 18.786680 4.090380875 3.764286e+00
## 3270 32.69 18.446552 4.066050623 3.904695e+00
## 3271 32.70 18.120621 4.057947344 4.056463e+00
## 3272 32.71 17.809572 4.065606801 4.219587e+00
## 3273 32.72 17.514130 4.088613523 4.394163e+00
## 3274 32.73 17.235075 4.126604744 4.580366e+00
## 3275 32.74 16.973246 4.179272075 4.778434e+00
## 3276 32.75 16.729562 4.246361129 4.988643e+00
## 3277 32.76 16.505024 4.327669254 5.211292e+00
## 3278 32.77 16.300732 4.423041475 5.446676e+00
## 3279 32.78 16.117889 4.532364700 5.695065e+00
## 3280 32.79 15.957812 4.655560200 5.956682e+00
## 3281 32.80 15.821939 4.792574306 6.231671e+00
## 3282 32.81 15.711832 4.943367238 6.520068e+00
## 3283 32.82 15.629180 5.107899985 6.821769e+00
## 3284 32.83 15.575799 5.286119025 7.136492e+00
## 3285 32.84 15.553621 5.477938728 7.463735e+00
## 3286 32.85 15.564685 5.683221341 7.802729e+00
## 3287 32.86 15.611116 5.901754386 8.152393e+00
## 3288 32.87 15.695092 6.133225406 8.511280e+00
## 3289 32.88 15.818803 6.377194104 8.877523e+00
## 3290 32.89 15.984398 6.633062034 9.248783e+00
## 3291 32.90 16.193906 6.900040235 9.622200e+00
## 3292 32.91 16.449158 7.177115441 9.994346e+00
## 3293 32.92 16.751671 7.463015856 1.036119e+01
## 3294 32.93 17.102524 7.756177848 1.071810e+01
## 3295 32.94 17.502221 8.054715408 1.105982e+01
## 3296 32.95 17.950530 8.356394667 1.138054e+01
## 3297 32.96 18.446323 8.658616270 1.167395e+01
## 3298 32.97 18.987409 8.958408778 1.193336e+01
## 3299 32.98 19.570392 9.252436300 1.215190e+01
## 3300 32.99 20.190541 9.537024760 1.232271e+01
## 3301 33.00 20.841717 9.808208739 1.243921e+01
## 3302 33.01 21.516354 10.061801535 1.249545e+01
## 3303 33.02 22.205520 10.293489621 1.248638e+01
## 3304 33.03 22.899066 10.498951001 1.240828e+01
## 3305 33.04 23.585880 10.673994077 1.225899e+01
## 3306 33.05 24.254224 10.814711633 1.203827e+01
## 3307 33.06 24.892164 10.917641779 1.174790e+01
## 3308 33.07 25.488041 10.979926145 1.139182e+01
## 3309 33.08 26.030983 10.999453889 1.097603e+01
## 3310 33.09 26.511382 10.974980276 1.050843e+01
## 3311 33.10 26.921317 10.906209237 9.998490e+00
## 3312 33.11 27.254881 10.793832323 9.456806e+00
## 3313 33.12 27.508372 10.639519716 8.894630e+00
## 3314 33.13 27.680354 10.445863316 8.323334e+00
## 3315 33.14 27.771569 10.216275865 7.753908e+00
## 3316 33.15 27.784732 9.954854200 7.196512e+00
## 3317 33.16 27.724227 9.666217037 6.660116e+00
## 3318 33.17 27.595747 9.355329336 6.152257e+00
## 3319 33.18 27.405901 9.027325231 5.678897e+00
## 3320 33.19 27.161842 8.687340294 5.244401e+00
## 3321 33.20 26.870919 8.340361778 4.851601e+00
## 3322 33.21 26.540388 7.991103125 4.501934e+00
## 3323 33.22 26.177181 7.643905537 4.195625e+00
## 3324 33.23 25.787748 7.302668439 3.931898e+00
## 3325 33.24 25.377951 6.970807024 3.709200e+00
## 3326 33.25 24.953013 6.651234561 3.525405e+00
## 3327 33.26 24.517510 6.346364802 3.378012e+00
## 3328 33.27 24.075393 6.058132377 3.264305e+00
## 3329 33.28 23.630035 5.788025024 3.181498e+00
## 3330 33.29 23.184286 5.537124690 3.126840e+00
## 3331 33.30 22.740542 5.306153971 3.097703e+00
## 3332 33.31 22.300804 5.095524924 3.091639e+00
## 3333 33.32 21.866745 4.905388048 3.106423e+00
## 3334 33.33 21.439770 4.735679392 3.140074e+00
## 3335 33.34 21.021062 4.586164736 3.190864e+00
## 3336 33.35 20.611636 4.456480219 3.257323e+00
## 3337 33.36 20.212374 4.346168564 3.338223e+00
## 3338 33.37 19.824061 4.254710814 3.432575e+00
## 3339 33.38 19.447414 4.181553653 3.539602e+00
## 3340 33.39 19.083106 4.126132414 3.658728e+00
## 3341 33.40 18.731792 4.087890054 3.789555e+00
## 3342 33.41 18.394121 4.066292382 3.931840e+00
## 3343 33.42 18.070758 4.060839891 4.085481e+00
## 3344 33.43 17.762394 4.071076520 4.250490e+00
## 3345 33.44 17.469764 4.096595662 4.426976e+00
## 3346 33.45 17.193657 4.137043716 4.615126e+00
## 3347 33.46 16.934926 4.192121406 4.815184e+00
## 3348 33.47 16.694502 4.261583087 5.027431e+00
## 3349 33.48 16.473404 4.345234179 5.252163e+00
## 3350 33.49 16.272747 4.442926812 5.489673e+00
## 3351 33.50 16.093754 4.554553756 5.740224e+00
## 3352 33.51 15.937762 4.680040597 6.004024e+00
## 3353 33.52 15.806228 4.819336138 6.281200e+00
## 3354 33.53 15.700736 4.972400899 6.571766e+00
## 3355 33.54 15.622996 5.139193661 6.875589e+00
## 3356 33.55 15.574841 5.319655799 7.192350e+00
## 3357 33.56 15.558222 5.513693302 7.521504e+00
## 3358 33.57 15.575193 5.721156329 7.862231e+00
## 3359 33.58 15.627888 5.941816178 8.213389e+00
## 3360 33.59 15.718486 6.175339605 8.573464e+00
## 3361 33.60 15.849172 6.421260553 8.940512e+00
## 3362 33.61 16.022077 6.678949496 9.312107e+00
## 3363 33.62 16.239199 6.947580817 9.685296e+00
## 3364 33.63 16.502319 7.226098922 1.005655e+01
## 3365 33.64 16.812883 7.513184112 1.042175e+01
## 3366 33.65 17.171880 7.807219687 1.077613e+01
## 3367 33.66 17.579693 8.106262158 1.111437e+01
## 3368 33.67 18.035947 8.408016981 1.143056e+01
## 3369 33.68 18.539339 8.709822649 1.171833e+01
## 3370 33.69 19.087482 9.008646396 1.197095e+01
## 3371 33.70 19.676757 9.301094687 1.218154e+01
## 3372 33.71 20.302200 9.583442955 1.234328e+01
## 3373 33.72 20.957430 9.851686256 1.244968e+01
## 3374 33.73 21.634647 10.101613426 1.249494e+01
## 3375 33.74 22.324705 10.328905586 1.247422e+01
## 3376 33.75 23.017284 10.529258157 1.238405e+01
## 3377 33.76 23.701151 10.698522553 1.222260e+01
## 3378 33.77 24.364517 10.832861769 1.198994e+01
## 3379 33.78 24.995475 10.928911283 1.168824e+01
## 3380 33.79 25.582484 10.983935363 1.132179e+01
## 3381 33.80 26.114867 10.995967210 1.089693e+01
## 3382 33.81 26.583292 10.963921844 1.042183e+01
## 3383 33.82 26.980173 10.887671490 9.906187e+00
## 3384 33.83 27.299975 10.768076440 9.360721e+00
## 3385 33.84 27.539388 10.606967756 8.796728e+00
## 3386 33.85 27.697358 10.407082568 8.225533e+00
## 3387 33.86 27.774976 10.171956591 7.657999e+00
## 3388 33.87 27.775261 9.905782497 7.104092e+00
## 3389 33.88 27.702836 9.613244838 6.572541e+00
## 3390 33.89 27.563569 9.299343646 6.070613e+00
## 3391 33.90 27.364178 8.969218549 5.603992e+00
## 3392 33.91 27.111860 8.627983828 5.176772e+00
## 3393 33.92 26.813956 8.280582648 4.791537e+00
## 3394 33.93 26.477672 7.931666252 4.449502e+00
## 3395 33.94 26.109862 7.585500488 4.150711e+00
## 3396 33.95 25.716872 7.245901098 3.894247e+00
## 3397 33.96 25.304454 6.916195691 3.678446e+00
## 3398 33.97 24.877714 6.599209872 3.501114e+00
## 3399 33.98 24.441118 6.297272664 3.359705e+00
## 3400 33.99 23.998512 6.012239398 3.251490e+00
## 3401 34.00 23.553176 5.745525505 3.173684e+00
## 3402 34.01 23.107877 5.498148685 3.123557e+00
## 3403 34.02 22.664938 5.270775857 3.098512e+00
## 3404 34.03 22.226302 5.063772044 3.096140e+00
## 3405 34.04 21.793592 4.877249092 3.114258e+00
## 3406 34.05 21.368173 4.711112286 3.150931e+00
## 3407 34.06 20.951199 4.565103887 3.204476e+00
## 3408 34.07 20.543658 4.438843016 3.273467e+00
## 3409 34.08 20.146416 4.331861078 3.356718e+00
## 3410 34.09 19.760245 4.243632710 3.453278e+00
## 3411 34.10 19.385854 4.173602325 3.562407e+00
## 3412 34.11 19.023913 4.121206405 3.683559e+00
## 3413 34.12 18.675075 4.085891795 3.816365e+00
## 3414 34.13 18.339993 4.067130320 3.960607e+00
## 3415 34.14 18.019336 4.064430069 4.116202e+00
## 3416 34.15 17.713802 4.077343659 4.283181e+00
## 3417 34.16 17.424136 4.105473804 4.461666e+00
## 3418 34.17 17.151137 4.148476463 4.651855e+00
## 3419 34.18 16.895672 4.206061809 4.853997e+00
## 3420 34.19 16.658688 4.277993198 5.068376e+00
## 3421 34.20 16.441219 4.364084292 5.295290e+00
## 3422 34.21 16.244400 4.464194405 5.535024e+00
## 3423 34.22 16.069473 4.578222127 5.787832e+00
## 3424 34.23 15.917794 4.706097202 6.053909e+00
## 3425 34.24 15.790843 4.847770600 6.333363e+00
## 3426 34.25 15.690225 5.003202683 6.626182e+00
## 3427 34.26 15.617671 5.172349378 6.932201e+00
## 3428 34.27 15.575036 5.355146121 7.251062e+00
## 3429 34.28 15.564286 5.551489455 7.582173e+00
## 3430 34.29 15.587491 5.761216151 7.924661e+00
## 3431 34.30 15.646790 5.984079762 8.277319e+00
## 3432 34.31 15.744368 6.219724404 8.638559e+00
## 3433 34.32 15.882399 6.467656109 9.006355e+00
## 3434 34.33 16.062991 6.727211846 9.378191e+00
## 3435 34.34 16.288109 6.997526675 9.751014e+00
## 3436 34.35 16.559476 7.277499756 1.012119e+01
## 3437 34.36 16.878462 7.565760400 1.048449e+01
## 3438 34.37 17.245955 7.860635622 1.083607e+01
## 3439 34.38 17.662210 8.160121276 1.117047e+01
## 3440 34.39 18.126693 8.461859134 1.148172e+01
## 3441 34.40 18.637916 8.763122892 1.176337e+01
## 3442 34.41 19.193282 9.060816362 1.200868e+01
## 3443 34.42 19.788938 9.351487354 1.221075e+01
## 3444 34.43 20.419673 9.631360576 1.236281e+01
## 3445 34.44 21.078855 9.896392417 1.245850e+01
## 3446 34.45 21.758443 10.142349520 1.249216e+01
## 3447 34.46 22.449077 10.364911634 1.245918e+01
## 3448 34.47 23.140264 10.559797154 1.235638e+01
## 3449 34.48 23.820657 10.722907531 1.218224e+01
## 3450 34.49 24.478430 10.850484183 1.193723e+01
## 3451 34.50 25.101722 10.939269180 1.162387e+01
## 3452 34.51 25.679127 10.986659187 1.124683e+01
## 3453 34.52 26.200192 10.990841246 1.081278e+01
## 3454 34.53 26.655881 10.950899287 1.033020e+01
## 3455 34.54 27.038967 10.866881845 9.808965e+00
## 3456 34.55 27.344313 10.739824386 9.259933e+00
## 3457 34.56 27.569015 10.571723397 8.694421e+00
## 3458 34.57 27.712410 10.365463677 8.123692e+00
## 3459 34.58 27.775951 10.124704339 7.558459e+00
## 3460 34.59 27.762959 9.853732419 7.008477e+00
## 3461 34.60 27.678297 9.557295261 6.482217e+00
## 3462 34.61 27.528001 9.240423718 5.986661e+00
## 3463 34.62 27.318889 8.908257787 5.527202e+00
## 3464 34.63 27.058196 8.565884988 5.107656e+00
## 3465 34.64 26.753246 8.218198694 4.730351e+00
## 3466 34.65 26.411186 7.869782173 4.396280e+00
## 3467 34.66 26.038780 7.524820634 4.105305e+00
## 3468 34.67 25.642268 7.187041398 3.856363e+00
## 3469 34.68 25.227281 6.859680379 3.647691e+00
## 3470 34.69 24.798808 6.545471868 3.477021e+00
## 3471 34.70 24.361199 6.246657614 3.341772e+00
## 3472 34.71 23.918193 5.965011334 3.239199e+00
## 3473 34.72 23.472973 5.701874478 3.166527e+00
## 3474 34.73 23.028222 5.458199095 3.121048e+00
## 3475 34.74 22.586191 5.234595639 3.100199e+00
## 3476 34.75 22.148763 5.031381653 3.101613e+00
## 3477 34.76 21.717511 4.848630091 3.123153e+00
## 3478 34.77 21.293760 4.686215525 3.162929e+00
## 3479 34.78 20.878633 4.543857094 3.219308e+00
## 3480 34.79 20.473095 4.421157314 3.290907e+00
## 3481 34.80 20.077993 4.317636735 3.376585e+00
## 3482 34.81 19.694088 4.232764116 3.475430e+00
## 3483 34.82 19.322082 4.165982215 3.586739e+00
## 3484 34.83 18.962641 4.116729287 3.709998e+00
## 3485 34.84 18.616419 4.084456686 3.844865e+00
## 3486 34.85 18.284070 4.068642865 3.991150e+00
## 3487 34.86 17.966269 4.068804082 4.148790e+00
## 3488 34.87 17.663724 4.084502165 4.317832e+00
## 3489 34.88 17.377188 4.115349627 4.498412e+00
## 3490 34.89 17.107473 4.161012410 4.690739e+00
## 3491 34.90 16.855460 4.221210476 4.895067e+00
## 3492 34.91 16.622112 4.295716444 5.111684e+00
## 3493 34.92 16.408482 4.384352379 5.340883e+00
## 3494 34.93 16.215722 4.486984817 5.582946e+00
## 3495 34.94 16.045095 4.603518108 5.838115e+00
## 3496 34.95 15.897980 4.733885955 6.106570e+00
## 3497 34.96 15.775880 4.878041136 6.388397e+00
## 3498 34.97 15.680421 5.035943328 6.683556e+00
## 3499 34.98 15.613356 5.207544862 6.991848e+00
## 3500 34.99 15.576560 5.392774267 7.312874e+00
## 3501 35.00 15.572018 5.591517435 7.645990e+00
## 3502 35.01 15.601812 5.803596278 7.990263e+00
## 3503 35.02 15.668091 6.028744769 8.344420e+00
## 3504 35.03 15.773036 6.266582362 8.706792e+00
## 3505 35.04 15.918812 6.516584921 9.075267e+00
## 3506 35.05 16.107501 6.778053268 9.447232e+00
## 3507 35.06 16.341026 7.050080161 9.819529e+00
## 3508 35.07 16.621049 7.331516332 1.018842e+01
## 3509 35.08 16.948855 7.620936759 1.054956e+01
## 3510 35.09 17.325219 7.916608799 1.089798e+01
## 3511 35.10 17.750258 8.216464285 1.122816e+01
## 3512 35.11 18.223266 8.518078141 1.153400e+01
## 3513 35.12 18.742559 8.818656494 1.180902e+01
## 3514 35.13 19.305312 9.115037622 1.204643e+01
## 3515 35.14 19.907427 9.403709186 1.223936e+01
## 3516 35.15 20.543431 9.680845040 1.238110e+01
## 3517 35.16 21.206433 9.942364330 1.246539e+01
## 3518 35.17 21.888143 10.184014558 1.248677e+01
## 3519 35.18 22.578985 10.401478696 1.244089e+01
## 3520 35.19 23.268296 10.590504432 1.232485e+01
## 3521 35.20 23.944625 10.747051200 1.213750e+01
## 3522 35.21 24.596123 10.867448200 1.187968e+01
## 3523 35.22 25.210993 10.948554311 1.155432e+01
## 3524 35.23 25.777991 10.987909177 1.116648e+01
## 3525 35.24 26.286910 10.983864013 1.072316e+01
## 3526 35.25 26.729042 10.935681258 1.023312e+01
## 3527 35.26 27.097543 10.843594044 9.706447e+00
## 3528 35.27 27.387691 10.708819534 9.154101e+00
## 3529 35.28 27.597008 10.533524059 8.587411e+00
## 3530 35.29 27.725237 10.320742121 8.017552e+00
## 3531 35.30 27.774194 10.074256614 7.455073e+00
## 3532 35.31 27.747508 9.798447444 6.909494e+00
## 3533 35.32 27.650280 9.498121414 6.389011e+00
## 3534 35.33 27.488708 9.178335354 5.900304e+00
## 3535 35.34 27.269700 8.844223658 5.448462e+00
## 3536 35.35 27.000519 8.500840344 5.037013e+00
## 3537 35.36 26.688461 8.153022568 4.668025e+00
## 3538 35.37 26.340606 7.805280041 4.342269e+00
## 3539 35.38 25.963620 7.461711898 4.059422e+00
## 3540 35.39 25.563626 7.125952087 3.818281e+00
## 3541 35.40 25.146133 6.801140494 3.616978e+00
## 3542 35.41 24.716004 6.489916543 3.453182e+00
## 3543 35.42 24.277470 6.194431462 3.324276e+00
## 3544 35.43 23.834161 5.916375051 3.227506e+00
## 3545 35.44 23.389160 5.657012918 3.160108e+00
## 3546 35.45 22.945066 5.417230551 3.119402e+00
## 3547 35.46 22.504056 5.197581057 3.102861e+00
## 3548 35.47 22.067951 4.998334023 3.108163e+00
## 3549 35.48 21.638276 4.819523428 3.133217e+00
## 3550 35.49 21.216314 4.660993259 3.176185e+00
## 3551 35.50 20.803159 4.522439619 3.235482e+00
## 3552 35.51 20.399751 4.403448853 3.309772e+00
## 3553 35.52 20.006921 4.303531301 3.397960e+00
## 3554 35.53 19.625418 4.222150542 3.499174e+00
## 3555 35.54 19.255938 4.158748331 3.612747e+00
## 3556 35.55 18.899143 4.112765370 3.738201e+00
## 3557 35.56 18.555688 4.083658197 3.875222e+00
## 3558 35.57 18.226231 4.070912538 4.023644e+00
## 3559 35.58 17.911452 4.074053439 4.183426e+00
## 3560 35.59 17.612069 4.092652506 4.354633e+00
## 3561 35.60 17.328846 4.126332597 4.537414e+00
## 3562 35.61 17.062608 4.174770043 4.731987e+00
## 3563 35.62 16.814251 4.237694918 4.938613e+00
## 3564 35.63 16.584756 4.314889366 5.157579e+00
## 3565 35.64 16.375192 4.406184024 5.389178e+00
## 3566 35.65 16.186735 4.511452715 5.633684e+00
## 3567 35.66 16.020669 4.630605434 5.891326e+00
## 3568 35.67 15.878395 4.763579562 6.162267e+00
## 3569 35.68 15.761439 4.910329229 6.446569e+00
## 3570 35.69 15.671452 5.070812785 6.744161e+00
## 3571 35.70 15.610208 5.244978128 7.054808e+00
## 3572 35.71 15.579604 5.432745792 7.378064e+00
## 3573 35.72 15.581643 5.633989656 7.713230e+00
## 3574 35.73 15.618419 5.848515158 8.059310e+00
## 3575 35.74 15.692086 6.076034746 8.414957e+00
## 3576 35.75 15.804824 6.316140864 8.778418e+00
## 3577 35.76 15.958782 6.568276452 9.147486e+00
## 3578 35.77 16.156014 6.831703262 9.519447e+00
## 3579 35.78 16.398394 7.105468564 9.891034e+00
## 3580 35.79 16.687514 7.388371182 1.025839e+01
## 3581 35.80 17.024566 7.678928076 1.061706e+01
## 3582 35.81 17.410203 7.975343179 1.096196e+01
## 3583 35.82 17.844387 8.275480654 1.128746e+01
## 3584 35.83 18.326231 8.576845216 1.158739e+01
## 3585 35.84 18.853835 8.876572574 1.185519e+01
## 3586 35.85 19.424133 9.171433377 1.208407e+01
## 3587 35.86 20.032766 9.457854082 1.226716e+01
## 3588 35.87 20.673989 9.731957953 1.239785e+01
## 3589 35.88 21.340638 9.989628727 1.247002e+01
## 3590 35.89 22.024171 10.226598335 1.247840e+01
## 3591 35.90 22.714792 10.438558413 1.241891e+01
## 3592 35.91 23.401673 10.621293211 1.228899e+01
## 3593 35.92 24.073273 10.770829084 1.208787e+01
## 3594 35.93 24.717733 10.883593311 1.181679e+01
## 3595 35.94 25.323348 10.956572788 1.147910e+01
## 3596 35.95 25.879056 10.987461663 1.108024e+01
## 3597 35.96 26.374931 10.974786528 1.062758e+01
## 3598 35.97 26.802617 10.917998569 1.013015e+01
## 3599 35.98 27.155681 10.817524188 9.598232e+00
## 3600 35.99 27.429841 10.674768899 9.042871e+00
## 3601 36.00 27.623062 10.492073272 8.475389e+00
## 3602 36.01 27.735506 10.272624010 7.906855e+00
## 3603 36.02 27.769359 10.020326589 7.347627e+00
## 3604 36.03 27.728554 9.739650892 6.806971e+00
## 3605 36.04 27.618425 9.435458841 6.292787e+00
## 3606 36.05 27.445326 9.112827841 5.811438e+00
## 3607 36.06 27.216248 8.776880870 5.367701e+00
## 3608 36.07 26.938469 8.432632035 4.964804e+00
## 3609 36.08 26.619248 8.084855602 4.604549e+00
## 3610 36.09 26.265587 7.737980818 4.287481e+00
## 3611 36.10 25.884045 7.396014899 4.013094e+00
## 3612 36.11 25.480622 7.062493075 3.780045e+00
## 3613 36.12 25.060694 6.740454566 3.586366e+00
## 3614 36.13 24.628998 6.432440139 3.429666e+00
## 3615 36.14 24.189637 6.140507417 3.307295e+00
## 3616 36.15 23.746132 5.866259877 3.216496e+00
## 3617 36.16 23.301464 5.610885588 3.154520e+00
## 3618 36.17 22.858145 5.375202097 3.118716e+00
## 3619 36.18 22.418277 5.159704471 3.106599e+00
## 3620 36.19 21.983621 4.964614002 3.115894e+00
## 3621 36.20 21.555651 4.789925702 3.144562e+00
## 3622 36.21 21.135612 4.635453165 3.190816e+00
## 3623 36.22 20.724564 4.500869922 3.253122e+00
## 3624 36.23 20.323426 4.385746671 3.330194e+00
## 3625 36.24 19.933012 4.289584098 3.420981e+00
## 3626 36.25 19.554060 4.211841263 3.524655e+00
## 3627 36.26 19.187258 4.151959648 3.640586e+00
## 3628 36.27 18.833269 4.109383133 3.768330e+00
## 3629 36.28 18.492746 4.083574169 3.907604e+00
## 3630 36.29 18.166353 4.074026454 4.058267e+00
## 3631 36.30 17.854778 4.080274475 4.220298e+00
## 3632 36.31 17.558747 4.101900218 4.393781e+00
## 3633 36.32 17.279037 4.138537342 4.578878e+00
## 3634 36.33 17.016487 4.189873108 4.775815e+00
## 3635 36.34 16.772010 4.255648107 4.984859e+00
## 3636 36.35 16.546604 4.335654224 5.206298e+00
## 3637 36.36 16.341359 4.429730787 5.440421e+00
## 3638 36.37 16.157473 4.537758898 5.687492e+00
## 3639 36.38 15.996252 4.659654050 5.947727e+00
## 3640 36.39 15.859122 4.795356993 6.221270e+00
## 3641 36.40 15.747634 4.944822723 6.508154e+00
## 3642 36.41 15.663461 5.108007498 6.808279e+00
## 3643 36.42 15.608404 5.284853787 7.121364e+00
## 3644 36.43 15.584377 5.475272883 7.446916e+00
## 3645 36.44 15.593404 5.679125104 7.784177e+00
## 3646 36.45 15.637588 5.896197458 8.132080e+00
## 3647 36.46 15.719091 6.126178729 8.489198e+00
## 3648 36.47 15.840085 6.368631827 8.853691e+00
## 3649 36.48 16.002702 6.622963878 9.223250e+00
## 3650 36.49 16.208959 6.888394242 9.595051e+00
## 3651 36.50 16.460677 7.163921093 9.965711e+00
## 3652 36.51 16.759370 7.448287497 1.033125e+01
## 3653 36.52 17.106124 7.739948402 1.068710e+01
## 3654 36.53 17.501458 8.037040266 1.102805e+01
## 3655 36.54 17.945167 8.337355688 1.134837e+01
## 3656 36.55 18.436165 8.638325638 1.164181e+01
## 3657 36.56 18.972321 8.937012497 1.190176e+01
## 3658 36.57 19.550312 9.230117247 1.212140e+01
## 3659 36.58 20.165501 9.514004306 1.229391e+01
## 3660 36.59 20.811858 9.784747000 1.241276e+01
## 3661 36.60 21.481936 10.038196060 1.247201e+01
## 3662 36.61 22.166935 10.270072191 1.246660e+01
## 3663 36.62 22.856839 10.476082055 1.239277e+01
## 3664 36.63 23.540664 10.652054786 1.224830e+01
## 3665 36.64 24.206787 10.794093728 1.203283e+01
## 3666 36.65 24.843366 10.898735670 1.174803e+01
## 3667 36.66 25.438807 10.963107775 1.139767e+01
## 3668 36.67 25.982266 10.985071130 1.098761e+01
## 3669 36.68 26.464124 10.963339612 1.052558e+01
## 3670 36.69 26.876410 10.897563872 1.002086e+01
## 3671 36.70 27.213130 10.788372468 9.483923e+00
## 3672 36.71 27.470467 10.637365892 8.925896e+00
## 3673 36.72 27.646845 10.447063053 8.358063e+00
## 3674 36.73 27.742856 10.220803986 7.791359e+00
## 3675 36.74 27.761061 9.962616495 7.235930e+00
## 3676 36.75 27.705701 9.677056972 6.700764e+00
## 3677 36.76 27.582334 9.369037146 6.193443e+00
## 3678 36.77 27.397461 9.043648570 5.720000e+00
## 3679 36.78 27.158143 8.705995633 5.284883e+00
## 3680 36.79 26.871664 8.361045833 4.891018e+00
## 3681 36.80 26.545235 8.013503532 4.539934e+00
## 3682 36.81 26.185768 7.667710736 4.231947e+00
## 3683 36.82 25.799705 7.327575958 3.966367e+00
## 3684 36.83 25.392914 6.996530186 3.741714e+00
## 3685 36.84 24.970636 6.677507356 3.555926e+00
## 3686 36.85 24.537469 6.372945564 3.406552e+00
## 3687 36.86 24.097393 6.084805627 3.290917e+00
## 3688 36.87 23.653810 5.814602286 3.206264e+00
## 3689 36.88 23.209599 5.563444303 3.149863e+00
## 3690 36.89 22.767184 5.332080031 3.119098e+00
## 3691 36.90 22.328592 5.120946041 3.111529e+00
## 3692 36.91 21.895521 4.930214979 3.124930e+00
## 3693 36.92 21.469397 4.759842813 3.157317e+00
## 3694 36.93 21.051423 4.609613077 3.206957e+00
## 3695 36.94 20.642630 4.479177198 3.272370e+00
## 3696 36.95 20.243913 4.368090833 3.352319e+00
## 3697 36.96 19.856071 4.275845715 3.445803e+00
## 3698 36.97 19.479831 4.201897114 3.552034e+00
## 3699 36.98 19.115875 4.145687026 3.670425e+00
## 3700 36.99 18.764865 4.106663310 3.800564e+00
## 3701 37.00 18.427455 4.084295104 3.942199e+00
## 3702 37.01 18.104316 4.078084828 4.095215e+00
## 3703 37.02 17.796142 4.087577108 4.259613e+00
## 3704 37.03 17.503672 4.112364943 4.435493e+00
## 3705 37.04 17.227694 4.152093388 4.623031e+00
## 3706 37.05 16.969063 4.206461005 4.822461e+00
## 3707 37.06 16.728711 4.275219278 5.034055e+00
## 3708 37.07 16.507654 4.358170144 5.258100e+00
## 3709 37.08 16.307005 4.455161732 5.494879e+00
## 3710 37.09 16.127983 4.566082366 5.744647e+00
## 3711 37.10 15.971920 4.690852811 6.007605e+00
## 3712 37.11 15.840267 4.829416783 6.283872e+00
## 3713 37.12 15.734600 4.981729524 6.573455e+00
## 3714 37.13 15.656619 5.147744381 6.876213e+00
## 3715 37.14 15.608148 5.327397261 7.191824e+00
## 3716 37.15 15.591123 5.520588808 7.519738e+00
## 3717 37.16 15.607583 5.727164002 7.859133e+00
## 3718 37.17 15.659645 5.946889320 8.208868e+00
## 3719 37.18 15.749471 6.179427278 8.567430e+00
## 3720 37.19 15.879226 6.424308388 8.932880e+00
## 3721 37.20 16.051017 6.680900745 9.302804e+00
## 3722 37.21 16.266823 6.948377722 9.674261e+00
## 3723 37.22 16.528400 7.225684426 1.004375e+01
## 3724 37.23 16.837175 7.511503954 1.040715e+01
## 3725 37.24 17.194118 7.804224891 1.075977e+01
## 3726 37.25 17.599597 8.101911927 1.109630e+01
## 3727 37.26 18.053227 8.402281963 1.141088e+01
## 3728 37.27 18.553704 8.702688517 1.169719e+01
## 3729 37.28 19.098650 9.000117640 1.194857e+01
## 3730 37.29 19.684466 9.291198722 1.215819e+01
## 3731 37.30 20.306221 9.572233568 1.231930e+01
## 3732 37.31 20.957585 9.839246682 1.242546e+01
## 3733 37.32 21.630820 10.088058845 1.247092e+01
## 3734 37.33 22.316859 10.314384728 1.245090e+01
## 3735 37.34 23.005473 10.513953402 1.236193e+01
## 3736 37.35 23.685526 10.682648376 1.220220e+01
## 3737 37.36 24.345335 10.816661312 1.197178e+01
## 3738 37.37 24.973092 10.912651223 1.167278e+01
## 3739 37.38 25.557348 10.967899037 1.130945e+01
## 3740 37.39 26.087507 10.980446329 1.088803e+01
## 3741 37.40 26.554293 10.949207086 1.041661e+01
## 3742 37.41 26.950154 10.874042713 9.904759e+00
## 3743 37.42 27.269563 10.755793128 9.363100e+00
## 3744 37.43 27.509193 10.596260364 8.802816e+00
## 3745 37.44 27.667945 10.398145285 8.235133e+00
## 3746 37.45 27.746852 10.164942096 7.670828e+00
## 3747 37.46 27.748854 9.900798739 7.119805e+00
## 3748 37.47 27.678494 9.610354361 6.590750e+00
## 3749 37.48 27.541551 9.298564943 6.090908e+00
## 3750 37.49 27.344661 8.970529317 5.625963e+00
## 3751 37.50 27.094946 8.631325400 5.200023e+00
## 3752 37.51 26.799680 8.285865557 4.815699e+00
## 3753 37.52 26.466013 7.938776158 4.474246e+00
## 3754 37.53 26.100755 7.594304631 4.175750e+00
## 3755 37.54 25.710223 7.256254372 3.919341e+00
## 3756 37.55 25.300143 6.927946172 3.703401e+00
## 3757 37.56 24.875613 6.612203580 3.525779e+00
## 3758 37.57 24.441089 6.311358169 3.383970e+00
## 3759 37.58 24.000422 6.027270898 3.275279e+00
## 3760 37.59 23.556892 5.761365383 3.196953e+00
## 3761 37.60 23.113277 5.514669462 3.146286e+00
## 3762 37.61 22.671909 5.287861253 3.120701e+00
## 3763 37.62 22.234740 5.081317702 3.117806e+00
## 3764 37.63 21.803405 4.895162752 3.135431e+00
## 3765 37.64 21.379280 4.729313608 3.171647e+00
## 3766 37.65 20.963529 4.583524075 3.224779e+00
## 3767 37.66 20.557152 4.457424086 3.293402e+00
## 3768 37.67 20.161023 4.350554971 3.376332e+00
## 3769 37.68 19.775924 4.262400330 3.472616e+00
## 3770 37.69 19.402572 4.192412528 3.581512e+00
## 3771 37.70 19.041645 4.140034956 3.702471e+00
## 3772 37.71 18.693803 4.104720327 3.835119e+00
## 3773 37.72 18.359705 4.085945314 3.979233e+00
## 3774 37.73 18.040026 4.083221856 4.134724e+00
## 3775 37.74 17.735472 4.096105457 4.301616e+00
## 3776 37.75 17.446790 4.124200790 4.480025e+00
## 3777 37.76 17.174785 4.167164887 4.670140e+00
## 3778 37.77 16.920329 4.224708145 4.872203e+00
## 3779 37.78 16.684371 4.296593236 5.086488e+00
## 3780 37.79 16.467949 4.382632321 5.313282e+00
## 3781 37.80 16.272200 4.482682422 5.552862e+00
## 3782 37.81 16.098366 4.596639005 5.805469e+00
## 3783 37.82 15.947805 4.724427856 6.071287e+00
## 3784 37.83 15.821997 4.865995149 6.350409e+00
## 3785 37.84 15.722542 5.021295597 6.642809e+00
## 3786 37.85 15.651167 5.190278587 6.948308e+00
## 3787 37.86 15.609721 5.372872161 7.266532e+00
## 3788 37.87 15.600162 5.568964600 7.596871e+00
## 3789 37.88 15.624545 5.778383559 7.938434e+00
## 3790 37.89 15.684996 6.000872649 8.289999e+00
## 3791 37.90 15.783679 6.236065408 8.649958e+00
## 3792 37.91 15.922744 6.483456660 9.016270e+00
## 3793 37.92 16.104272 6.742371766 9.386405e+00
## 3794 37.93 16.330192 7.011934060 9.757298e+00
## 3795 37.94 16.602189 7.291031233 1.012531e+01
## 3796 37.95 16.921591 7.578281805 1.048621e+01
## 3797 37.96 17.289238 7.872003264 1.083515e+01
## 3798 37.97 17.705333 8.170183814 1.116671e+01
## 3799 37.98 18.169291 8.470460280 1.147492e+01
## 3800 37.99 18.679574 8.770104933 1.175338e+01
## 3801 38.00 19.233534 9.066024593 1.199540e+01
## 3802 38.01 19.827279 9.354775358 1.219414e+01
## 3803 38.02 20.455568 9.632596325 1.234293e+01
## 3804 38.03 21.111754 9.895464992 1.243548e+01
## 3805 38.04 21.787800 10.139176200 1.246623e+01
## 3806 38.05 22.474372 10.359444945 1.243068e+01
## 3807 38.06 23.161025 10.552031438 1.232575e+01
## 3808 38.07 23.836490 10.712884496 1.215002e+01
## 3809 38.08 24.489039 10.838296874 1.190404e+01
## 3810 38.09 25.106929 10.925063882 1.159039e+01
## 3811 38.10 25.678887 10.970634868 1.121377e+01
## 3812 38.11 26.194602 10.973246328 1.078087e+01
## 3813 38.12 26.645177 10.932025739 1.030012e+01
## 3814 38.13 27.023515 10.847056868 9.781352e+00
## 3815 38.14 27.324589 10.719400086 9.235329e+00
## 3816 38.15 27.545583 10.551065216 8.673266e+00
## 3817 38.16 27.685895 10.344938333 8.106303e+00
## 3818 38.17 27.747006 10.104667976 7.545030e+00
## 3819 38.18 27.732240 9.834519802 6.999080e+00
## 3820 38.19 27.646437 9.539210649 6.476814e+00
## 3821 38.20 27.495588 9.223733836 5.985114e+00
## 3822 38.21 27.286452 8.893187116 5.529297e+00
## 3823 38.22 27.026196 8.552613200 5.113122e+00
## 3824 38.23 26.722070 8.206860470 4.738877e+00
## 3825 38.24 26.381151 7.860468877 4.407539e+00
## 3826 38.25 26.010135 7.517583437 4.118963e+00
## 3827 38.26 25.615200 7.181895448 3.872100e+00
## 3828 38.27 25.201926 6.856609680 3.665202e+00
## 3829 38.28 24.775257 6.544434332 3.496030e+00
## 3830 38.29 24.339505 6.247590183 3.362033e+00
## 3831 38.30 23.898384 5.967835105 3.260499e+00
## 3832 38.31 23.455055 5.706499297 3.188686e+00
## 3833 38.32 23.012187 5.464527893 3.143917e+00
## 3834 38.33 22.572021 5.242527858 3.123661e+00
## 3835 38.34 22.136434 5.040816517 3.125575e+00
## 3836 38.35 21.706999 4.859468786 3.147547e+00
## 3837 38.36 21.285041 4.698363237 3.187709e+00
## 3838 38.37 20.871684 4.557224463 3.244446e+00
## 3839 38.38 20.467899 4.435661522 3.316389e+00
## 3840 38.39 20.074538 4.333202225 3.402411e+00
## 3841 38.40 19.692368 4.249322930 3.501608e+00
## 3842 38.41 19.322097 4.183474028 3.613284e+00
## 3843 38.42 18.964399 4.135101262 3.736931e+00
## 3844 38.43 18.619933 4.103663140 3.872211e+00
## 3845 38.44 18.289364 4.088644781 4.018932e+00
## 3846 38.45 17.973372 4.089568499 4.177033e+00
## 3847 38.46 17.672674 4.106001459 4.346557e+00
## 3848 38.47 17.388032 4.137560709 4.527639e+00
## 3849 38.48 17.120265 4.183915840 4.720478e+00
## 3850 38.49 16.870262 4.244789508 4.925325e+00
## 3851 38.50 16.638994 4.319955992 5.142456e+00
## 3852 38.51 16.427522 4.409237915 5.372154e+00
## 3853 38.52 16.237007 4.512501197 5.614689e+00
## 3854 38.53 16.068716 4.629648271 5.870288e+00
## 3855 38.54 15.924037 4.760609534 6.139111e+00
## 3856 38.55 15.804475 4.905333017 6.421226e+00
## 3857 38.56 15.711661 5.063772050 6.716570e+00
## 3858 38.57 15.647348 5.235870902 7.024918e+00
## 3859 38.58 15.613410 5.421548212 7.345842e+00
## 3860 38.59 15.611826 5.620678067 7.678666e+00
## 3861 38.60 15.644668 5.833068466 8.022423e+00
## 3862 38.61 15.714069 6.058437354 8.375801e+00
## 3863 38.62 15.822189 6.296386034 8.737094e+00
## 3864 38.63 15.971163 6.546370085 9.104146e+00
## 3865 38.64 16.163035 6.807668129 9.474306e+00
## 3866 38.65 16.399680 7.079348996 9.844376e+00
## 3867 38.66 16.682699 7.360238131 1.021058e+01
## 3868 38.67 17.013309 7.648884436 1.056854e+01
## 3869 38.68 17.392204 7.943529200 1.091328e+01
## 3870 38.69 17.819405 8.242079206 1.123925e+01
## 3871 38.70 18.294108 8.542086597 1.154038e+01
## 3872 38.71 18.814519 8.840738480 1.181019e+01
## 3873 38.72 19.377701 9.134859572 1.204196e+01
## 3874 38.73 19.979449 9.420931275 1.222888e+01
## 3875 38.74 20.614190 9.695130375 1.236437e+01
## 3876 38.75 21.274950 9.953389920 1.244228e+01
## 3877 38.76 21.953382 10.191483798 1.245732e+01
## 3878 38.77 22.639882 10.405134890 1.240530e+01
## 3879 38.78 23.323801 10.590144658 1.228353e+01
## 3880 38.79 23.993748 10.742539678 1.209105e+01
## 3881 38.80 24.637975 10.858728152 1.182888e+01
## 3882 38.81 25.244836 10.935657302 1.150013e+01
## 3883 38.82 25.803272 10.970960977 1.110996e+01
## 3884 38.83 26.303296 10.963086228 1.066551e+01
## 3885 38.84 26.736432 10.911388276 1.017554e+01
## 3886 38.85 27.096075 10.816185253 9.650132e+00
## 3887 38.86 27.377728 10.678767167 9.100179e+00
## 3888 38.87 27.579115 10.501357471 8.536893e+00
## 3889 38.88 27.700144 10.287029754 7.971298e+00
## 3890 38.89 27.742755 10.039585926 7.413764e+00
## 3891 38.90 27.710651 9.763405283 6.873622e+00
## 3892 38.91 27.608966 9.463276197 6.358878e+00
## 3893 38.92 27.443890 9.144221467 5.876033e+00
## 3894 38.93 27.222292 8.811328958 5.430021e+00
## 3895 38.94 26.951368 8.469596613 5.024235e+00
## 3896 38.95 26.638332 8.123799318 4.660636e+00
## 3897 38.96 26.290168 7.778381455 4.339920e+00
## 3898 38.97 25.913447 7.437377305 4.061713e+00
## 3899 38.98 25.514199 7.104358654 3.824788e+00
## 3900 38.99 25.097844 6.782407739 3.627271e+00
## 3901 39.00 24.669169 6.474112197 3.466844e+00
## 3902 39.01 24.232336 6.181578126 3.340912e+00
## 3903 39.02 23.790918 5.906457158 3.246755e+00
## 3904 39.03 23.347952 5.649983817 3.181646e+00
## 3905 39.04 22.906000 5.413019064 3.142945e+00
## 3906 39.05 22.467209 5.196097716 3.128166e+00
## 3907 39.06 22.033382 4.999476716 3.135026e+00
## 3908 39.07 21.606026 4.823182309 3.161473e+00
## 3909 39.08 21.186418 4.667054877 3.205704e+00
## 3910 39.09 20.775643 4.530790458 3.266164e+00
## 3911 39.10 20.374642 4.413978126 3.341547e+00
## 3912 39.11 19.984247 4.316133127 3.430779e+00
## 3913 39.12 19.605210 4.236725610 3.533010e+00
## 3914 39.13 19.238231 4.175205058 3.647590e+00
## 3915 39.14 18.883980 4.131020621 3.774055e+00
## 3916 39.15 18.543120 4.103637632 3.912101e+00
## 3917 39.16 18.216316 4.092550630 4.061570e+00
## 3918 39.17 17.904262 4.097293210 4.222425e+00
## 3919 39.18 17.607682 4.117445021 4.394733e+00
## 3920 39.19 17.327355 4.152636208 4.578644e+00
## 3921 39.20 17.064116 4.202549565 4.774368e+00
## 3922 39.21 16.818875 4.266920470 4.982163e+00
## 3923 39.22 16.592625 4.345535071 5.202307e+00
## 3924 39.23 16.386449 4.438226597 5.435078e+00
## 3925 39.24 16.201536 4.544869851 5.680734e+00
## 3926 39.25 16.039183 4.665374000 5.939486e+00
## 3927 39.26 15.900803 4.799673592 6.211471e+00
## 3928 39.27 15.787933 4.947717729 6.496724e+00
## 3929 39.28 15.702233 5.109457258 6.795141e+00
## 3930 39.29 15.645484 5.284829918 7.106449e+00
## 3931 39.30 15.619585 5.473743175 7.430157e+00
## 3932 39.31 15.626538 5.676054665 7.765519e+00
## 3933 39.32 15.668426 5.891550156 8.111483e+00
## 3934 39.33 15.747391 6.119918935 8.466642e+00
## 3935 39.34 15.865584 6.360726493 8.829180e+00
## 3936 39.35 16.025117 6.613385017 9.196820e+00
## 3937 39.36 16.227994 6.877121799 9.566777e+00
## 3938 39.37 16.476022 7.150946206 9.935714e+00
## 3939 39.38 16.770710 7.433616141 1.029971e+01
## 3940 39.39 17.113145 7.723605377 1.065423e+01
## 3941 39.40 17.503860 8.019073435 1.099417e+01
## 3942 39.41 17.942675 8.317840347 1.131385e+01
## 3943 39.42 18.428544 8.617368792 1.160709e+01
## 3944 39.43 18.959393 8.914756822 1.186736e+01
## 3945 39.44 19.531977 9.206744423 1.208790e+01
## 3946 39.45 20.141752 9.489737356 1.226196e+01
## 3947 39.46 20.782799 9.759851255 1.238305e+01
## 3948 39.47 21.447800 10.012978344 1.244524e+01
## 3949 39.48 22.128092 10.244877869 1.244349e+01
## 3950 39.49 22.813804 10.451289730 1.237398e+01
## 3951 39.50 23.494090 10.628068496 1.223446e+01
## 3952 39.51 24.157457 10.771332750 1.202444e+01
## 3953 39.52 24.792169 10.877622253 1.174548e+01
## 3954 39.53 25.386712 10.944053348 1.140120e+01
## 3955 39.54 25.930282 10.968461760 1.099727e+01
## 3956 39.55 26.413261 10.949521641 1.054124e+01
## 3957 39.56 26.827638 10.886830714 1.004224e+01
## 3958 39.57 27.167338 10.780953598 9.510561e+00
## 3959 39.58 27.428430 10.633418755 8.957201e+00
## 3960 39.59 27.609197 10.446668460 8.393338e+00
## 3961 39.60 27.710077 10.223965346 7.829845e+00
## 3962 39.61 27.733471 9.969262739 7.276836e+00
## 3963 39.62 27.683462 9.687048767 6.743308e+00
## 3964 39.63 27.565467 9.382175747 6.236884e+00
## 3965 39.64 27.385862 9.059686555 5.763661e+00
## 3966 39.65 27.151610 8.724648667 5.328172e+00
## 3967 39.66 26.869918 8.382004850 4.933435e+00
## 3968 39.67 26.547944 8.036446043 4.581078e+00
## 3969 39.68 26.192568 7.692311283 4.271512e+00
## 3970 39.69 25.810219 7.353515288 4.004136e+00
## 3971 39.70 25.406769 7.023502752 3.777550e+00
## 3972 39.71 24.987470 6.705227039 3.589762e+00
## 3973 39.72 24.556944 6.401150000 3.438378e+00
## 3974 39.73 24.119195 6.113258822 3.320769e+00
## 3975 39.74 23.677654 5.843095901 3.234213e+00
## 3976 39.75 23.235232 5.591797891 3.176003e+00
## 3977 39.76 22.794380 5.360140164 3.143542e+00
## 3978 39.77 22.357155 5.148584847 3.134397e+00
## 3979 39.78 21.925278 4.957328495 3.146346e+00
## 3980 39.79 21.500198 4.786348795 3.177403e+00
## 3981 39.80 21.083139 4.635448544 3.225832e+00
## 3982 39.81 20.675151 4.504296070 3.290142e+00
## 3983 39.82 20.277145 4.392461381 3.369089e+00
## 3984 39.83 19.889932 4.299448186 3.461660e+00
## 3985 39.84 19.514251 4.224721538 3.567056e+00
## 3986 39.85 19.150794 4.167731182 3.684676e+00
## 3987 39.86 18.800230 4.127930822 3.814098e+00
## 3988 39.87 18.463224 4.104793725 3.955058e+00
## 3989 39.88 18.140447 4.097824896 4.107426e+00
## 3990 39.89 17.832603 4.106570178 4.271195e+00
## 3991 39.90 17.540429 4.130622567 4.446452e+00
## 3992 39.91 17.264719 4.169626042 4.633361e+00
## 3993 39.92 17.006329 4.223277146 4.832146e+00
## 3994 39.93 16.766189 4.291324515 5.043068e+00
## 3995 39.94 16.545315 4.373566504 5.266404e+00
## 3996 39.95 16.344818 4.469847030 5.502427e+00
## 3997 39.96 16.165914 4.580049632 5.751383e+00
## 3998 39.97 16.009930 4.704089858 6.013461e+00
## 3999 39.98 15.878310 4.841905783 6.288772e+00
## 4000 39.99 15.772623 4.993446667 6.577314e+00
## 4001 40.00 15.694557 5.158659645 6.878939e+00
## 4002 40.01 15.645925 5.337474265 7.193316e+00
## 4003 40.02 15.628649 5.529784740 7.519889e+00
## 4004 40.03 15.644752 5.735429777 7.857833e+00
## 4005 40.04 15.696332 5.954169862 8.206003e+00
## 4006 40.05 15.785530 6.185661982 8.562887e+00
## 4007 40.06 15.914487 6.429431823 8.926550e+00
## 4008 40.07 16.085288 6.684843704 9.294586e+00
## 4009 40.08 16.299883 6.951068495 9.664067e+00
## 4010 40.09 16.560002 7.227050543 1.003151e+01
## 4011 40.10 16.867046 7.511474372 1.039282e+01
## 4012 40.11 17.221960 7.802732649 1.074334e+01
## 4013 40.12 17.625092 8.098897247 1.107780e+01
## 4014 40.13 18.076039 8.397695829 1.139038e+01
## 4015 40.14 18.573491 8.696496674 1.167483e+01
## 4016 40.15 19.115072 8.992304897 1.192455e+01
## 4017 40.16 19.697197 9.281773425 1.213277e+01
## 4018 40.17 20.314966 9.561232004 1.229282e+01
## 4019 40.18 20.962094 9.826737148 1.239833e+01
## 4020 40.19 21.630907 10.074145043 1.244361e+01
## 4021 40.20 22.312420 10.299208123 1.242393e+01
## 4022 40.21 22.996497 10.497694177 1.233587e+01
## 4023 40.22 23.672112 10.665524649 1.217764e+01
## 4024 40.23 24.327696 10.798926383 1.194930e+01
## 4025 40.24 24.951556 10.894588727 1.165295e+01
## 4026 40.25 25.532354 10.949816069 1.129275e+01
## 4027 40.26 26.059588 10.962664792 1.087489e+01
## 4028 40.27 26.524057 10.932053695 1.040736e+01
## 4029 40.28 26.918263 10.857838269 9.899601e+00
## 4030 40.29 27.236701 10.740841768 9.362119e+00
## 4031 40.30 27.476037 10.582839389 8.805974e+00
## 4032 40.31 27.635141 10.386496584 8.242281e+00
## 4033 40.32 27.714988 10.155264982 7.681717e+00
## 4034 40.33 27.718446 9.893246217 7.134105e+00
## 4035 40.34 27.649973 9.605030858 6.608075e+00
## 4036 40.35 27.515259 9.295526319 6.110836e+00
## 4037 40.36 27.320849 8.969784941 5.648057e+00
## 4038 40.37 27.073778 8.632842045 5.223852e+00
## 4039 40.38 26.781245 8.289572997 4.840856e+00
## 4040 40.39 26.450337 7.944573768 4.500358e+00
## 4041 40.40 26.087810 7.602068118 4.202488e+00
## 4042 40.41 25.699939 7.265842040 3.946420e+00
## 4043 40.42 25.292425 6.939205196 3.730587e+00
## 4044 40.43 24.870343 6.624975556 3.552883e+00
## 4045 40.44 24.438141 6.325483965 3.410847e+00
## 4046 40.45 23.999665 6.042594695 3.301824e+00
## 4047 40.46 23.558198 5.777737915 3.223094e+00
## 4048 40.47 23.116521 5.531950363 3.171984e+00
## 4049 40.48 22.676974 5.305920915 3.145939e+00
## 4050 40.49 22.241521 5.100038289 3.142587e+00
## 4051 40.50 21.811808 4.914438682 3.159773e+00
## 4052 40.51 21.389219 4.749051646 3.195580e+00
## 4053 40.52 20.974930 4.603643087 3.248341e+00
## 4054 40.53 20.569953 4.477854486 3.316635e+00
## 4055 40.54 20.175171 4.371237996 3.399281e+00
## 4056 40.55 19.791376 4.283287158 3.495327e+00
## 4057 40.56 19.419295 4.213463266 3.604029e+00
## 4058 40.57 19.059614 4.161217592 3.724836e+00
## 4059 40.58 18.713001 4.126009655 3.857369e+00
## 4060 40.59 18.380122 4.107321852 4.001401e+00
## 4061 40.60 18.061659 4.104670773 4.156836e+00
## 4062 40.61 17.758326 4.117615518 4.323691e+00
## 4063 40.62 17.470875 4.145763330 4.502075e+00
## 4064 40.63 17.200117 4.188772825 4.692169e+00
## 4065 40.64 16.946928 4.246354896 4.894204e+00
## 4066 40.65 16.712263 4.318271804 5.108446e+00
## 4067 40.66 16.497164 4.404334346 5.335170e+00
## 4068 40.67 16.302769 4.504397170 5.574640e+00
## 4069 40.68 16.130324 4.618352381 5.827085e+00
## 4070 40.69 15.981188 4.746121401 6.092673e+00
## 4071 40.70 15.856838 4.887645011 6.371482e+00
## 4072 40.71 15.758874 5.042871475 6.663470e+00
## 4073 40.72 15.689019 5.211742687 6.968438e+00
## 4074 40.73 15.649113 5.394178075 7.285993e+00
## 4075 40.74 15.641105 5.590056200 7.615504e+00
## 4076 40.75 15.667036 5.799193916 7.956059e+00
## 4077 40.76 15.729015 6.021322976 8.306413e+00
## 4078 40.77 15.829181 6.256064085 8.664938e+00
## 4079 40.78 15.969659 6.502898481 9.029571e+00
## 4080 40.79 16.152495 6.761137346 9.397763e+00
## 4081 40.80 16.379578 7.029889516 9.766435e+00
## 4082 40.81 16.652550 7.308028280 1.013194e+01
## 4083 40.82 16.972684 7.594158405 1.049003e+01
## 4084 40.83 17.340762 7.886584926 1.083588e+01
## 4085 40.84 17.756930 8.183285696 1.116406e+01
## 4086 40.85 18.220535 8.481890153 1.146865e+01
## 4087 40.86 18.729976 8.779667199 1.174329e+01
## 4088 40.87 19.282546 9.073525338 1.198133e+01
## 4089 40.88 19.874299 9.360028251 1.217603e+01
## 4090 40.89 20.499952 9.635430205 1.232079e+01
## 4091 40.90 21.152835 9.895731991 1.240944e+01
## 4092 40.91 21.824909 10.136760188 1.243653e+01
## 4093 40.92 22.506863 10.354270009 1.239769e+01
## 4094 40.93 23.188306 10.544070086 1.228997e+01
## 4095 40.94 23.858050 10.702164725 1.211206e+01
## 4096 40.95 24.504481 10.824907599 1.186461e+01
## 4097 40.96 25.115991 10.909157756 1.155029e+01
## 4098 40.97 25.681465 10.952428336 1.117385e+01
## 4099 40.98 26.190755 10.953016467 1.074198e+01
## 4100 40.99 26.635133 10.910104011 1.026310e+01
## 4101 41.00 27.007659 10.823819775 9.746966e+00
## 4102 41.01 27.303443 10.695257458 9.204259e+00
## 4103 41.02 27.519781 10.526446717 8.646068e+00
## 4104 41.03 27.656150 10.320279222 8.083397e+00
## 4105 41.04 27.714075 10.080394994 7.526691e+00
## 4106 41.05 27.696889 9.811038178 6.985438e+00
## 4107 41.06 27.609416 9.516892845 6.467863e+00
## 4108 41.07 27.457599 9.202910633 5.980735e+00
## 4109 41.08 27.248135 8.874141373 5.529271e+00
## 4110 41.09 26.988113 8.535576367 5.117156e+00
## 4111 41.10 26.684703 8.192011596 4.746630e+00
## 4112 41.11 26.344897 7.847936031 4.418640e+00
## 4113 41.12 25.975314 7.507446547 4.133033e+00
## 4114 41.13 25.582059 7.174190746 3.888763e+00
## 4115 41.14 25.170648 6.851335091 3.684104e+00
## 4116 41.15 24.745972 6.541555702 3.516844e+00
## 4117 41.16 24.312299 6.247046754 3.384464e+00
## 4118 41.17 23.873307 5.969545770 3.284290e+00
## 4119 41.18 23.432131 5.710367951 3.213616e+00
## 4120 41.19 22.991421 5.470448461 3.169804e+00
## 4121 41.20 22.553405 5.250388615 3.150354e+00
## 4122 41.21 22.119953 5.050503605 3.152959e+00
## 4123 41.22 21.692634 4.870869680 3.175534e+00
## 4124 41.23 21.272771 4.711369031 3.216236e+00
## 4125 41.24 20.861491 4.571731639 3.273471e+00
## 4126 41.25 20.459769 4.451573427 3.345891e+00
## 4127 41.26 20.068463 4.350429986 3.432381e+00
## 4128 41.27 19.688344 4.267786005 3.532050e+00
## 4129 41.28 19.320130 4.203100422 3.644212e+00
## 4130 41.29 18.964501 4.155827455 3.768365e+00
## 4131 41.30 18.622126 4.125433795 3.904176e+00
## 4132 41.31 18.293675 4.111412250 4.051454e+00
## 4133 41.32 17.979842 4.113292177 4.210137e+00
## 4134 41.33 17.681349 4.130647000 4.380269e+00
## 4135 41.34 17.398969 4.163099123 4.561976e+00
## 4136 41.35 17.133531 4.210322493 4.755456e+00
## 4137 41.36 16.885934 4.272043021 4.960948e+00
## 4138 41.37 16.657157 4.348037045 5.178719e+00
## 4139 41.38 16.448270 4.438127958 5.409041e+00
## 4140 41.39 16.260443 4.542181055 5.652166e+00
## 4141 41.40 16.094954 4.660096646 5.908304e+00
## 4142 41.41 15.953195 4.791801386 6.177596e+00
## 4143 41.42 15.836677 4.937237781 6.460084e+00
## 4144 41.43 15.747036 5.096351734 6.755679e+00
## 4145 41.44 15.686027 5.269078075 7.064126e+00
## 4146 41.45 15.655518 5.455323819 7.384962e+00
## 4147 41.46 15.657486 5.654949062 7.717474e+00
## 4148 41.47 15.693989 5.867745442 8.060652e+00
## 4149 41.48 15.767142 6.093412059 8.413142e+00
## 4150 41.49 15.879079 6.331528717 8.773189e+00
## 4151 41.50 16.031900 6.581526972 9.138590e+00
## 4152 41.51 16.227604 6.842659091 9.506644e+00
## 4153 41.52 16.468007 7.113965503 9.874106e+00
## 4154 41.53 16.754644 7.394241636 1.023716e+01
## 4155 41.54 17.088644 7.682005451 1.059139e+01
## 4156 41.55 17.470606 7.975467271 1.093179e+01
## 4157 41.56 17.900443 8.272504149 1.125280e+01
## 4158 41.57 18.377228 8.570641194 1.154836e+01
## 4159 41.58 18.899039 8.867042951 1.181204e+01
## 4160 41.59 19.462809 9.158518036 1.203714e+01
## 4161 41.60 20.064204 9.441540407 1.221699e+01
## 4162 41.61 20.697535 9.712290278 1.234508e+01
## 4163 41.62 21.355728 9.966717098 1.241546e+01
## 4164 41.63 22.030370 10.200625866 1.242299e+01
## 4165 41.64 22.711826 10.409786509 1.236372e+01
## 4166 41.65 23.389463 10.590063844 1.223516e+01
## 4167 41.66 24.051957 10.737563474 1.203660e+01
## 4168 41.67 24.687686 10.848786534 1.176927e+01
## 4169 41.68 25.285176 10.920784094 1.143647e+01
## 4170 41.69 25.833588 10.951300658 1.104353e+01
## 4171 41.70 26.323189 10.938895778 1.059767e+01
## 4172 41.71 26.745778 10.883033551 1.010771e+01
## 4173 41.72 27.095027 10.784131823 9.583718e+00
## 4174 41.73 27.366704 10.643566090 9.036497e+00
## 4175 41.74 27.558764 10.463626880 8.477130e+00
## 4176 41.75 27.671312 10.247433538 7.916461e+00
## 4177 41.76 27.706430 9.998811002 7.364656e+00
## 4178 41.77 27.667912 9.722139058 6.830825e+00
## 4179 41.78 27.560931 9.422185253 6.322752e+00
## 4180 41.79 27.391671 9.103933033 5.846732e+00
## 4181 41.80 27.166953 8.772415871 5.407514e+00
## 4182 41.81 26.893898 8.432566587 5.008334e+00
## 4183 41.82 26.579622 8.089087697 4.651032e+00
## 4184 41.83 26.231004 7.746347992 4.336211e+00
## 4185 41.84 25.854502 7.408306335 4.063442e+00
## 4186 41.85 25.456039 7.078462213 3.831466e+00
## 4187 41.86 25.040934 6.759830709 3.638403e+00
## 4188 41.87 24.613884 6.454939002 3.481947e+00
## 4189 41.88 24.178971 6.165840367 3.359530e+00
## 4190 41.89 23.739703 5.894141726 3.268468e+00
## 4191 41.90 23.299063 5.641040951 3.206076e+00
## 4192 41.91 22.859567 5.407369969 3.169762e+00
## 4193 41.92 22.423332 5.193641996 3.157086e+00
## 4194 41.93 21.992132 5.000098729 3.165811e+00
## 4195 41.94 21.567461 4.826756880 3.193929e+00
## 4196 41.95 21.150581 4.673452236 3.239675e+00
## 4197 41.96 20.742573 4.539880329 3.301534e+00
## 4198 41.97 20.344375 4.425632965 3.378228e+00
## 4199 41.98 19.956819 4.330230705 3.468715e+00
## 4200 41.99 19.580660 4.253150989 3.572166e+00
## 4201 42.00 19.216606 4.193852010 3.687953e+00
## 4202 42.01 18.865333 4.151792494 3.815625e+00
## 4203 42.02 18.527512 4.126447780 3.954894e+00
## 4204 42.03 18.203821 4.117322465 4.105608e+00
## 4205 42.04 17.894963 4.123959918 4.267737e+00
## 4206 42.05 17.601677 4.145948990 4.441350e+00
## 4207 42.06 17.324752 4.182928192 4.626595e+00
## 4208 42.07 17.065039 4.234587593 4.823679e+00
## 4209 42.08 16.823463 4.300668642 5.032850e+00
## 4210 42.09 16.601031 4.380962055 5.254376e+00
## 4211 42.10 16.398843 4.475303914 5.488521e+00
## 4212 42.11 16.218101 4.583569950 5.735522e+00
## 4213 42.12 16.060117 4.705668179 5.995568e+00
## 4214 42.13 15.926320 4.841529643 6.268767e+00
## 4215 42.14 15.818258 4.991097323 6.555120e+00
## 4216 42.15 15.737601 5.154313092 6.854486e+00
## 4217 42.16 15.686138 5.331102541 7.166543e+00
## 4218 42.17 15.665769 5.521357551 7.490752e+00
## 4219 42.18 15.678493 5.724916473 7.826309e+00
## 4220 42.19 15.726383 5.941541807 8.172098e+00
## 4221 42.20 15.811559 6.170895341 8.526639e+00
## 4222 42.21 15.936142 6.412510805 8.888043e+00
## 4223 42.22 16.102198 6.665764241 9.253952e+00
## 4224 42.23 16.311668 6.929842510 9.621501e+00
## 4225 42.24 16.566281 7.203710573 9.987269e+00
## 4226 42.25 16.867445 7.486078572 1.034726e+01
## 4227 42.26 17.216126 7.775370057 1.069687e+01
## 4228 42.27 17.612711 8.069693173 1.103094e+01
## 4229 42.28 18.056855 8.366816984 1.134374e+01
## 4230 42.29 18.547325 8.664156079 1.162911e+01
## 4231 42.30 19.081846 8.958765932 1.188052e+01
## 4232 42.31 19.656960 9.247352502 1.209130e+01
## 4233 42.32 20.267915 9.526299472 1.225480e+01
## 4234 42.33 20.908593 9.791715986 1.236471e+01
## 4235 42.34 21.571502 10.039506832 1.241530e+01
## 4236 42.35 22.247846 10.265465942 1.240183e+01
## 4237 42.36 22.927674 10.465392278 1.232077e+01
## 4238 42.37 23.600131 10.635224957 1.217019e+01
## 4239 42.38 24.253791 10.771192188 1.195000e+01
## 4240 42.39 24.877066 10.869966248 1.166207e+01
## 4241 42.40 25.458676 10.928814871 1.131034e+01
## 4242 42.41 25.988119 10.945738263 1.090075e+01
## 4243 42.42 26.456141 10.919580946 1.044103e+01
## 4244 42.43 26.855129 10.850108777 9.940422e+00
## 4245 42.44 27.179419 10.738043919 9.409224e+00
## 4246 42.45 27.425479 10.585053928 8.858351e+00
## 4247 42.46 27.591958 10.393695066 8.298819e+00
## 4248 42.47 27.679598 10.167313952 7.741265e+00
## 4249 42.48 27.691040 9.909914986 7.195521e+00
## 4250 42.49 27.630533 9.626004239 6.670276e+00
## 4251 42.50 27.503582 9.320420278 6.172833e+00
## 4252 42.51 27.316586 8.998163953 5.708986e+00
## 4253 42.52 27.076467 8.664236858 5.282992e+00
## 4254 42.53 26.790346 8.323497453 4.897628e+00
## 4255 42.54 26.465266 7.980539956 4.554330e+00
## 4256 42.55 26.107965 7.639599727 4.253361e+00
## 4257 42.56 25.724726 7.304485706 3.994016e+00
## 4258 42.57 25.321272 6.978538949 3.774832e+00
## 4259 42.58 24.902715 6.664614876 3.593790e+00
## 4260 42.59 24.473546 6.365085524 3.448497e+00
## 4261 42.60 24.037659 6.081858032 3.336346e+00
## 4262 42.61 23.598384 5.816405493 3.254656e+00
## 4263 42.62 23.158551 5.569806116 3.200773e+00
## 4264 42.63 22.720542 5.342787884 3.172156e+00
## 4265 42.64 22.286362 5.135775541 3.166434e+00
## 4266 42.65 21.857691 4.948937716 3.181447e+00
## 4267 42.66 21.435947 4.782232595 3.215267e+00
## 4268 42.67 21.022334 4.635450855 3.266215e+00
## 4269 42.68 20.617884 4.508254932 3.332852e+00
## 4270 42.69 20.223503 4.400214251 3.413980e+00
## 4271 42.70 19.839998 4.310836217 3.508628e+00
## 4272 42.71 19.468110 4.239592874 3.616032e+00
## 4273 42.72 19.108537 4.185943414 3.735622e+00
## 4274 42.73 18.761954 4.149352756 3.867003e+00
## 4275 42.74 18.429036 4.129306480 4.009927e+00
## 4276 42.75 18.110469 4.125322426 4.164285e+00
## 4277 42.76 17.806969 4.136959282 4.330076e+00
## 4278 42.77 17.519291 4.163822489 4.507395e+00
## 4279 42.78 17.248247 4.205567603 4.696408e+00
## 4280 42.79 16.994710 4.261901514 4.897335e+00
## 4281 42.80 16.759632 4.332581704 5.110428e+00
## 4282 42.81 16.544051 4.417413534 5.335952e+00
## 4283 42.82 16.349100 4.516245730 5.574162e+00
## 4284 42.83 16.176015 4.628964151 5.825276e+00
## 4285 42.84 16.026148 4.755483780 6.089457e+00
## 4286 42.85 15.900962 4.895738906 6.366774e+00
## 4287 42.86 15.802047 5.049671430 6.657183e+00
## 4288 42.87 15.731107 5.217217140 6.960480e+00
## 4289 42.88 15.689967 5.398289803 7.276274e+00
## 4290 42.89 15.680557 5.592762986 7.603936e+00
## 4291 42.90 15.704897 5.800449479 7.942559e+00
## 4292 42.91 15.765074 6.021078118 8.290911e+00
## 4293 42.92 15.863204 6.254268141 8.647377e+00
## 4294 42.93 16.001389 6.499501164 9.009915e+00
## 4295 42.94 16.181650 6.756090993 9.376003e+00
## 4296 42.95 16.405858 7.023151726 9.742596e+00
## 4297 42.96 16.675634 7.299564990 1.010609e+01
## 4298 42.97 16.992240 7.583947404 1.046228e+01
## 4299 42.98 17.356453 7.874619775 1.080640e+01
## 4300 42.99 17.768418 8.169579987 1.113310e+01
## 4301 43.00 18.227501 8.466481993 1.143650e+01
## 4302 43.01 18.732127 8.762623743 1.171034e+01
## 4303 43.02 19.279637 9.054947187 1.194803e+01
## 4304 43.03 19.866148 9.340053648 1.214291e+01
## 4305 43.04 20.486459 9.614237695 1.228845e+01
## 4306 43.05 21.134000 9.873542170 1.237852e+01
## 4307 43.06 21.800849 10.113836040 1.240771e+01
## 4308 43.07 22.477825 10.330915312 1.237168e+01
## 4309 43.08 23.154675 10.520625389 1.226743e+01
## 4310 43.09 23.820347 10.679000959 1.209364e+01
## 4311 43.10 24.463356 10.802417218 1.185086e+01
## 4312 43.11 25.072208 10.887743990 1.154167e+01
## 4313 43.12 25.635874 10.932492704 1.117067e+01
## 4314 43.13 26.144264 10.934945371 1.074441e+01
## 4315 43.14 26.588669 10.894255079 1.027113e+01
## 4316 43.15 26.962130 10.810509105 9.760453e+00
## 4317 43.16 27.259703 10.684748523 9.222887e+00
## 4318 43.17 27.478596 10.518941771 8.669394e+00
## 4319 43.18 27.618174 10.315913695 8.110872e+00
## 4320 43.19 27.679832 10.079235113 7.557692e+00
## 4321 43.20 27.666766 9.813082310 7.019301e+00
## 4322 43.21 27.583664 9.522075805 6.503914e+00
## 4323 43.22 27.436343 9.211110210 6.018318e+00
## 4324 43.23 27.231385 8.885186670 5.567777e+00
## 4325 43.24 26.975785 8.549257142 5.156033e+00
## 4326 43.25 26.676636 8.208088466 4.785401e+00
## 4327 43.26 26.340875 7.866150629 4.456906e+00
## 4328 43.27 25.975081 7.527531419 4.170477e+00
## 4329 43.28 25.585341 7.195877511 3.925144e+00
## 4330 43.29 25.177161 6.874361357 3.719251e+00
## 4331 43.30 24.755436 6.565670546 3.550647e+00
## 4332 43.31 24.324445 6.272015751 3.416867e+00
## 4333 43.32 23.887883 5.995153540 3.315280e+00
## 4334 43.33 23.448904 5.736420166 3.243215e+00
## 4335 43.34 23.010179 5.496772714 3.198061e+00
## 4336 43.35 22.573960 5.276834499 3.177336e+00
## 4337 43.36 22.142137 5.076942103 3.178746e+00
## 4338 43.37 21.716298 4.897192004 3.200214e+00
## 4339 43.38 21.297787 4.737485227 3.239900e+00
## 4340 43.39 20.887748 4.597568977 3.296210e+00
## 4341 43.40 20.487172 4.477074507 3.367789e+00
## 4342 43.41 20.096930 4.375550849 3.453521e+00
## 4343 43.42 19.717807 4.292494251 3.552505e+00
## 4344 43.43 19.350531 4.227373347 3.664047e+00
## 4345 43.44 18.995791 4.179650282 3.787636e+00
## 4346 43.45 18.654266 4.148798008 3.922929e+00
## 4347 43.46 18.326634 4.134314040 4.069725e+00
## 4348 43.47 18.013593 4.135731002 4.227952e+00
## 4349 43.48 17.715873 4.152624257 4.397641e+00
## 4350 43.49 17.434249 4.184616933 4.578910e+00
## 4351 43.50 17.169554 4.231382598 4.771944e+00
## 4352 43.51 16.922691 4.292645724 4.976971e+00
## 4353 43.52 16.694640 4.368180223 5.194246e+00
## 4354 43.53 16.486471 4.457806198 5.424030e+00
## 4355 43.54 16.299353 4.561384828 5.666561e+00
## 4356 43.55 16.134563 4.678811514 5.922039e+00
## 4357 43.56 15.993488 4.810007255 6.190590e+00
## 4358 43.57 15.877635 4.954908199 6.472245e+00
## 4359 43.58 15.788630 5.113453231 6.766899e+00
## 4360 43.59 15.728220 5.285569547 7.074285e+00
## 4361 43.60 15.698261 5.471155991 7.393926e+00
## 4362 43.61 15.700714 5.670064047 7.725098e+00
## 4363 43.62 15.737617 5.882076386 8.066778e+00
## 4364 43.63 15.811065 6.106882945 8.417602e+00
## 4365 43.64 15.923167 6.344054423 8.775808e+00
## 4366 43.65 16.075992 6.593013513 9.139187e+00
## 4367 43.66 16.271507 6.853004194 9.505038e+00
## 4368 43.67 16.511492 7.123059594 9.870122e+00
## 4369 43.68 16.797442 7.401969313 1.023063e+01
## 4370 43.69 17.130449 7.688247487 1.058217e+01
## 4371 43.70 17.511067 7.980103258 1.091976e+01
## 4372 43.71 17.939171 8.275415782 1.123789e+01
## 4373 43.72 18.413800 8.571716305 1.153054e+01
## 4374 43.73 18.933002 8.866180225 1.179134e+01
## 4375 43.74 19.493692 9.155632355 1.201367e+01
## 4376 43.75 20.091528 9.436568668 1.219093e+01
## 4377 43.76 20.720834 9.705197482 1.231671e+01
## 4378 43.77 21.374566 9.957502405 1.238515e+01
## 4379 43.78 22.044361 10.189328234 1.239120e+01
## 4380 43.79 22.720660 10.396489432 1.233100e+01
## 4381 43.80 23.392927 10.574898742 1.220214e+01
## 4382 43.81 24.049953 10.720711255 1.200395e+01
## 4383 43.82 24.680244 10.830476923 1.173769e+01
## 4384 43.83 25.272465 10.901292468 1.140667e+01
## 4385 43.84 25.815915 10.930942339 1.101619e+01
## 4386 43.85 26.300990 10.918017904 1.057341e+01
## 4387 43.86 26.719603 10.862004926 1.008706e+01
## 4388 43.87 27.065514 10.763331304 9.567094e+00
## 4389 43.88 27.334553 10.623370257 9.024192e+00
## 4390 43.89 27.524706 10.444397852 8.469302e+00
## 4391 43.90 27.636077 10.229507664 7.913137e+00
## 4392 43.91 27.670719 9.982489120 7.365740e+00
## 4393 43.92 27.632373 9.707678903 6.836113e+00
## 4394 43.93 27.526141 9.409796345 6.331955e+00
## 4395 43.94 27.358124 9.093774125 5.859497e+00
## 4396 43.95 27.135056 8.764594840 5.423445e+00
## 4397 43.96 26.863970 8.427142283 5.027019e+00
## 4398 43.97 26.551900 8.086073947 4.672057e+00
## 4399 43.98 26.205650 7.745718752 4.359181e+00
## 4400 43.99 25.831615 7.410001592 4.087987e+00
## 4401 44.00 25.435664 7.082394221 3.857252e+00
## 4402 44.01 25.023075 6.765890421 3.665139e+00
## 4403 44.02 24.598511 6.463001916 3.509382e+00
## 4404 44.03 24.166034 6.175772103 3.387458e+00
## 4405 44.04 23.729134 5.905802953 3.296721e+00
## 4406 44.05 23.290786 5.654291497 3.234527e+00
## 4407 44.06 22.853505 5.422072490 3.198315e+00
## 4408 44.07 22.419408 5.209664642 3.185675e+00
## 4409 44.08 21.990272 5.017317209 3.194394e+00
## 4410 44.09 21.567597 4.845055779 3.222486e+00
## 4411 44.10 21.152653 4.692726031 3.268204e+00
## 4412 44.11 20.746528 4.560033822 3.330043e+00
## 4413 44.12 20.350169 4.446581482 3.406739e+00
## 4414 44.13 19.964418 4.351899940 3.497253e+00
## 4415 44.14 19.590040 4.275476546 3.600764e+00
## 4416 44.15 19.227748 4.216778741 3.716644e+00
## 4417 44.16 18.878231 4.175273739 3.844444e+00
## 4418 44.17 18.542168 4.150444491 3.983873e+00
## 4419 44.18 18.220245 4.141802250 4.134776e+00
## 4420 44.19 17.913172 4.148896023 4.297119e+00
## 4421 44.20 17.621698 4.171319237 4.470963e+00
## 4422 44.21 17.346620 4.208713884 4.656450e+00
## 4423 44.22 17.088796 4.260772384 4.853778e+00
## 4424 44.23 16.849158 4.327237373 5.063184e+00
## 4425 44.24 16.628719 4.407899564 5.284923e+00
## 4426 44.25 16.428586 4.502593785 5.519245e+00
## 4427 44.26 16.249966 4.611193250 5.766373e+00
## 4428 44.27 16.094176 4.733602061 6.026477e+00
## 4429 44.28 15.962645 4.869745946 6.299645e+00
## 4430 44.29 15.856924 5.019561113 6.585858e+00
## 4431 44.30 15.778681 5.182981089 6.884947e+00
## 4432 44.31 15.729699 5.359921486 7.196568e+00
## 4433 44.32 15.711872 5.550262536 7.520150e+00
## 4434 44.33 15.727184 5.753829183 7.854858e+00
## 4435 44.34 15.777693 5.970368727 8.199543e+00
## 4436 44.35 15.865494 6.199526027 8.552694e+00
## 4437 44.36 15.992677 6.440816263 8.912385e+00
## 4438 44.37 16.161271 6.693595463 9.276226e+00
## 4439 44.38 16.373169 6.957029274 9.641319e+00
## 4440 44.39 16.630044 7.230060670 1.000422e+01
## 4441 44.40 16.933237 7.511377593 1.036090e+01
## 4442 44.41 17.283639 7.799381935 1.070676e+01
## 4443 44.42 17.681553 8.092161687 1.103663e+01
## 4444 44.43 18.126543 8.387468525 1.134480e+01
## 4445 44.44 18.617282 8.682703538 1.162514e+01
## 4446 44.45 19.151397 8.974914125 1.187119e+01
## 4447 44.46 19.725341 9.260805307 1.207633e+01
## 4448 44.47 20.334277 9.536768587 1.223404e+01
## 4449 44.48 20.972022 9.798931131 1.233812e+01
## 4450 44.49 21.631045 10.043227197 1.238300e+01
## 4451 44.50 22.302537 10.265492415 1.236409e+01
## 4452 44.51 22.976574 10.461579818 1.227805e+01
## 4453 44.52 23.642366 10.627494345 1.212313e+01
## 4454 44.53 24.288596 10.759540248 1.189939e+01
## 4455 44.54 24.903826 10.854473639 1.160886e+01
## 4456 44.55 25.476957 10.909650574 1.125560e+01
## 4457 44.56 25.997699 10.923160123 1.084561e+01
## 4458 44.57 26.457019 10.893931850 1.038665e+01
## 4459 44.58 26.847531 10.821808462 9.887935e+00
## 4460 44.59 27.163783 10.707576751 9.359688e+00
## 4461 44.60 27.402431 10.552953366 8.812704e+00
## 4462 44.61 27.562273 10.360525732 8.257847e+00
## 4463 44.62 27.644163 10.133652974 7.705575e+00
## 4464 44.63 27.650811 9.876333798 7.165535e+00
## 4465 44.64 27.586486 9.593051040 6.646226e+00
## 4466 44.65 27.456679 9.288604804 6.154779e+00
## 4467 44.66 27.267738 8.967945176 5.696833e+00
## 4468 44.67 27.026511 8.636014301 5.276514e+00
## 4469 44.68 26.740031 8.297606131 4.896504e+00
## 4470 44.69 26.415238 7.957248892 4.558168e+00
## 4471 44.70 26.058774 7.619112817 4.261725e+00
## 4472 44.71 25.676823 7.286944892 4.006452e+00
## 4473 44.72 25.275018 6.964029386 3.790888e+00
## 4474 44.73 24.858394 6.653171229 3.613029e+00
## 4475 44.74 24.431373 6.356698987 3.470511e+00
## 4476 44.75 23.997791 6.076483643 3.360766e+00
## 4477 44.76 23.560933 5.813969278 3.281153e+00
## 4478 44.77 23.123592 5.570211999 3.229062e+00
## 4479 44.78 22.688125 5.345923929 3.201996e+00
## 4480 44.79 22.256516 5.141519501 3.197624e+00
## 4481 44.80 21.830433 4.957161890 3.213826e+00
## 4482 44.81 21.411287 4.792807907 3.248712e+00
## 4483 44.82 21.000277 4.648250158 3.300631e+00
## 4484 44.83 20.598437 4.523155661 3.368174e+00
## 4485 44.84 20.206674 4.417100461 3.450166e+00
## 4486 44.85 19.825800 4.329600019 3.545657e+00
## 4487 44.86 19.456564 4.260135390 3.653898e+00
## 4488 44.87 19.099669 4.208175288 3.774333e+00
## 4489 44.88 18.755803 4.173194299 3.906574e+00
## 4490 44.89 18.425647 4.154687488 4.050382e+00
## 4491 44.90 18.109899 4.152181734 4.205650e+00
## 4492 44.91 17.809286 4.165244086 4.372378e+00
## 4493 44.92 17.524575 4.193487430 4.550657e+00
## 4494 44.93 17.256589 4.236573743 4.740650e+00
## 4495 44.94 17.006214 4.294215142 4.942569e+00
## 4496 44.95 16.774415 4.366172907 5.156655e+00
## 4497 44.96 16.562241 4.452254657 5.383158e+00
## 4498 44.97 16.370838 4.552309711 5.622317e+00
## 4499 44.98 16.201454 4.666222656 5.874330e+00
## 4500 44.99 16.055451 4.793905172 6.139333e+00
## 4501 45.00 15.934303 4.935286043 6.417369e+00
## 4502 45.01 15.839603 5.090299242 6.708359e+00
## 4503 45.02 15.773064 5.258869995 7.012063e+00
## 4504 45.03 15.736509 5.440898687 7.328046e+00
## 4505 45.04 15.731864 5.636242468 7.655631e+00
## 4506 45.05 15.761138 5.844694457 7.993861e+00
## 4507 45.06 15.826399 6.065960494 8.341442e+00
## 4508 45.07 15.929736 6.299633363 8.696700e+00
## 4509 45.08 16.073210 6.545164698 9.057530e+00
## 4510 45.09 16.258793 6.801834938 9.421342e+00
## 4511 45.10 16.488286 7.068721747 9.785027e+00
## 4512 45.11 16.763228 7.344667724 1.014491e+01
## 4513 45.12 17.084780 7.628248599 1.049676e+01
## 4514 45.13 17.453598 7.917743479 1.083573e+01
## 4515 45.14 17.869693 8.211109161 1.115646e+01
## 4516 45.15 18.332276 8.505960924 1.145308e+01
## 4517 45.16 18.839608 8.799562617 1.171933e+01
## 4518 45.17 19.388855 9.088829161 1.194869e+01
## 4519 45.18 19.975963 9.370344708 1.213460e+01
## 4520 45.19 20.595566 9.640399449 1.227065e+01
## 4521 45.20 21.240950 9.895047501 1.235090e+01
## 4522 45.21 21.904080 10.130187317 1.237018e+01
## 4523 45.22 22.575709 10.341664562 1.232439e+01
## 4524 45.23 23.245569 10.525395495 1.221081e+01
## 4525 45.24 23.902663 10.677506701 1.202843e+01
## 4526 45.25 24.535626 10.794484698 1.177809e+01
## 4527 45.26 25.133154 10.873326925 1.146263e+01
## 4528 45.27 25.684472 10.911684071 1.108689e+01
## 4529 45.28 26.179795 10.907983150 1.065758e+01
## 4530 45.29 26.610755 10.861521231 1.018305e+01
## 4531 45.30 26.970745 10.772521438 9.672933e+00
## 4532 45.31 27.255171 10.642145736 9.137679e+00
## 4533 45.32 27.461560 10.472462619 8.588117e+00
## 4534 45.33 27.589551 10.266371586 8.034947e+00
## 4535 45.34 27.640758 10.027490131 7.488298e+00
## 4536 45.35 27.618531 9.760011943 6.957347e+00
## 4537 45.36 27.527640 9.468546850 6.450031e+00
## 4538 45.37 27.373929 9.157953637 5.972867e+00
## 4539 45.38 27.163950 8.833176427 5.530869e+00
## 4540 45.39 26.904626 8.499093753 5.127566e+00
## 4541 45.40 26.602946 8.160387293 4.765094e+00
## 4542 45.41 26.265723 7.821434803 4.444342e+00
## 4543 45.42 25.899403 7.486229315 4.165141e+00
## 4544 45.43 25.509937 7.158324593 3.926462e+00
## 4545 45.44 25.102704 6.840805164 3.726621e+00
## 4546 45.45 24.682478 6.536277611 3.563469e+00
## 4547 45.46 24.253435 6.246880330 3.434560e+00
## 4548 45.47 23.819178 5.974307312 3.337299e+00
## 4549 45.48 23.382784 5.719842176 3.269063e+00
## 4550 45.49 22.946864 5.484399137 3.227294e+00
## 4551 45.50 22.513618 5.268568097 3.209566e+00
## 4552 45.51 22.084899 5.072660808 3.213642e+00
## 4553 45.52 21.662269 4.896756381 3.237498e+00
## 4554 45.53 21.247049 4.740745295 3.279347e+00
## 4555 45.54 20.840374 4.604369932 3.337641e+00
## 4556 45.55 20.443224 4.487261453 3.411071e+00
## 4557 45.56 20.056470 4.388972637 3.498555e+00
## 4558 45.57 19.680898 4.309006454 3.599227e+00
## 4559 45.58 19.317241 4.246840506 3.712420e+00
## 4560 45.59 18.966196 4.201947458 3.837646e+00
## 4561 45.60 18.628450 4.173811731 3.974579e+00
## 4562 45.61 18.304694 4.161942727 4.123035e+00
## 4563 45.62 17.995638 4.165884917 4.282947e+00
## 4564 45.63 17.702027 4.185225069 4.454355e+00
## 4565 45.64 17.424652 4.219596906 4.637376e+00
## 4566 45.65 17.164364 4.268683447 4.832190e+00
## 4567 45.66 16.922081 4.332217215 5.039020e+00
## 4568 45.67 16.698803 4.409978497 5.258109e+00
## 4569 45.68 16.495620 4.501791757 5.489699e+00
## 4570 45.69 16.313719 4.607520263 5.734009e+00
## 4571 45.70 16.154396 4.727058949 5.991209e+00
## 4572 45.71 16.019056 4.860325503 6.261392e+00
## 4573 45.72 15.909221 5.007249608 6.544550e+00
## 4574 45.73 15.826534 5.167760184 6.840531e+00
## 4575 45.74 15.772748 5.341770578 7.149013e+00
## 4576 45.75 15.749726 5.529161571 7.469458e+00
## 4577 45.76 15.759425 5.729761999 7.801070e+00
## 4578 45.77 15.803875 5.943326923 8.142750e+00
## 4579 45.78 15.885146 6.169513425 8.493046e+00
## 4580 45.79 16.005312 6.407853972 8.850103e+00
## 4581 45.80 16.166390 6.657727545 9.211614e+00
## 4582 45.81 16.370276 6.918328971 9.574775e+00
## 4583 45.82 16.618655 7.188637113 9.936244e+00
## 4584 45.83 16.912904 7.467382858 1.029212e+01
## 4585 45.84 17.253968 7.753018226 1.063791e+01
## 4586 45.85 17.642229 8.043688356 1.096856e+01
## 4587 45.86 18.077361 8.337208528 1.127852e+01
## 4588 45.87 18.558176 8.631048843 1.156174e+01
## 4589 45.88 19.082476 8.922329490 1.181188e+01
## 4590 45.89 19.646915 9.207829773 1.202239e+01
## 4591 45.90 20.246890 9.484014020 1.218679e+01
## 4592 45.91 20.876474 9.747077158 1.229887e+01
## 4593 45.92 21.528399 9.993011997 1.235303e+01
## 4594 45.93 22.194123 10.217699033 1.234453e+01
## 4595 45.94 22.863974 10.417017946 1.226989e+01
## 4596 45.95 23.527380 10.586977909 1.212709e+01
## 4597 45.96 24.173189 10.723861574 1.191591e+01
## 4598 45.97 24.790068 10.824375401 1.163805e+01
## 4599 45.98 25.366941 10.885797139 1.129719e+01
## 4600 45.99 25.893458 10.906110170 1.089897e+01
## 4601 46.00 26.360442 10.884114242 1.045082e+01
## 4602 46.01 26.760284 10.819503229 9.961623e+00
## 4603 46.02 27.087244 10.712902706 9.441366e+00
## 4604 46.03 27.337647 10.565863370 8.900669e+00
## 4605 46.04 27.509933 10.380810031 8.350302e+00
## 4606 46.05 27.604601 10.160949821 7.800716e+00
## 4607 46.06 27.624019 9.910146516 7.261623e+00
## 4608 46.07 27.572153 9.632770651 6.741660e+00
## 4609 46.08 27.454243 9.333536318 6.248141e+00
## 4610 46.09 27.276438 9.017335348 5.786922e+00
## 4611 46.10 27.045448 8.689079024 5.362367e+00
## 4612 46.11 26.768220 8.353555651 4.977391e+00
## 4613 46.12 26.451659 8.015309949 4.633582e+00
## 4614 46.13 26.102410 7.678547523 4.331364e+00
## 4615 46.14 25.726693 7.347065665 4.070191e+00
## 4616 46.15 25.330201 7.024209571 3.848750e+00
## 4617 46.16 24.918039 6.712851908 3.665155e+00
## 4618 46.17 24.494713 6.415392306 3.517130e+00
## 4619 46.18 24.064141 6.133773183 3.402169e+00
## 4620 46.19 23.629691 5.869507995 3.317671e+00
## 4621 46.20 23.194232 5.623718434 3.261044e+00
## 4622 46.21 22.760191 5.397176933 3.229795e+00
## 4623 46.22 22.329615 5.190352248 3.221585e+00
## 4624 46.23 21.904228 5.003455434 3.234276e+00
## 4625 46.24 21.485487 4.836484560 3.265953e+00
## 4626 46.25 21.074631 4.689266989 3.314936e+00
## 4627 46.26 20.672730 4.561498332 3.379784e+00
## 4628 46.27 20.280716 4.452777425 3.459292e+00
## 4629 46.28 19.899425 4.362637233 3.552473e+00
## 4630 46.29 19.529622 4.290571567 3.658550e+00
## 4631 46.30 19.172025 4.236057711 3.776934e+00
## 4632 46.31 18.827330 4.198575178 3.907209e+00
## 4633 46.32 18.496226 4.177620845 4.049110e+00
## 4634 46.33 18.179414 4.172720779 4.202504e+00
## 4635 46.34 17.877622 4.183439050 4.367369e+00
## 4636 46.35 17.591617 4.209383819 4.543777e+00
## 4637 46.36 17.322215 4.250210988 4.731870e+00
## 4638 46.37 17.070300 4.305625568 4.931847e+00
## 4639 46.38 16.836825 4.375381000 5.143934e+00
## 4640 46.39 16.622831 4.459276672 5.368373e+00
## 4641 46.40 16.429449 4.557153540 5.605390e+00
## 4642 46.41 16.257915 4.668887971 5.855181e+00
## 4643 46.42 16.109570 4.794383830 6.117879e+00
## 4644 46.43 15.985872 4.933562755 6.393528e+00
## 4645 46.44 15.888391 5.086352529 6.682053e+00
## 4646 46.45 15.818818 5.252673462 6.983224e+00
## 4647 46.46 15.778950 5.432422648 7.296620e+00
## 4648 46.47 15.770689 5.625455921 7.621586e+00
## 4649 46.48 15.796018 5.831567465 7.957190e+00
## 4650 46.49 15.856980 6.050467008 8.302174e+00
## 4651 46.50 15.955641 6.281754538 8.654907e+00
## 4652 46.51 16.094043 6.524892695 9.013334e+00
## 4653 46.52 16.274144 6.779177237 9.374928e+00
## 4654 46.53 16.497738 7.043705963 9.736648e+00
## 4655 46.54 16.766367 7.317346862 1.009491e+01
## 4656 46.55 17.081210 7.598706663 1.044554e+01
## 4657 46.56 17.442956 7.886101279 1.078383e+01
## 4658 46.57 17.851668 8.177530096 1.110449e+01
## 4659 46.58 18.306631 8.470656460 1.140175e+01
## 4660 46.59 18.806205 8.762797067 1.166946e+01
## 4661 46.60 19.347680 9.050923344 1.190118e+01
## 4662 46.61 19.927151 9.331677957 1.209042e+01
## 4663 46.62 20.539425 9.601409447 1.223081e+01
## 4664 46.63 21.177978 9.856227434 1.231642e+01
## 4665 46.64 21.834980 10.092079880 1.234206e+01
## 4666 46.65 22.501386 10.304852547 1.230355e+01
## 4667 46.66 23.167127 10.490488894 1.219806e+01
## 4668 46.67 23.821377 10.645126524 1.202441e+01
## 4669 46.68 24.452912 10.765244069 1.178324e+01
## 4670 46.69 25.050520 10.847810316 1.147713e+01
## 4671 46.70 25.603462 10.890425868 1.111067e+01
## 4672 46.71 26.101928 10.891446912 1.069030e+01
## 4673 46.72 26.537460 10.850081109 1.022411e+01
## 4674 46.73 26.903308 10.766447159 9.721491e+00
## 4675 46.74 27.194681 10.641592276 9.192711e+00
## 4676 46.75 27.408878 10.477465287 8.648458e+00
## 4677 46.76 27.545289 10.276846870 8.099348e+00
## 4678 46.77 27.605274 10.043242065 7.555489e+00
## 4679 46.78 27.591939 9.780743368 7.026089e+00
## 4680 46.79 27.509837 9.493874634 6.519167e+00
## 4681 46.80 27.364624 9.187426494 6.041356e+00
## 4682 46.81 27.162705 8.866293938 5.597817e+00
## 4683 46.82 26.910891 8.535325409 5.192234e+00
## 4684 46.83 26.616102 8.199190570 4.826903e+00
## 4685 46.84 26.285113 7.862271394 4.502871e+00
## 4686 46.85 25.924360 7.528578985 4.220109e+00
## 4687 46.86 25.539808 7.201696244 3.977717e+00
## 4688 46.87 25.136868 6.884745114 3.774117e+00
## 4689 46.88 24.720358 6.580375444 3.607248e+00
## 4690 46.89 24.294501 6.290772137 3.474731e+00
## 4691 46.90 23.862954 6.017676768 3.374022e+00
## 4692 46.91 23.428847 5.762419985 3.302530e+00
## 4693 46.92 22.994841 5.525961035 3.257717e+00
## 4694 46.93 22.563182 5.308931798 3.237167e+00
## 4695 46.94 22.135768 5.111682361 3.238641e+00
## 4696 46.95 21.714195 4.934326280 3.260108e+00
## 4697 46.96 21.299822 4.776784146 3.299769e+00
## 4698 46.97 20.893809 4.638824194 3.356058e+00
## 4699 46.98 20.497163 4.520099274 3.427648e+00
## 4700 46.99 20.110773 4.420179882 3.513436e+00
## 4701 47.00 19.735445 4.338583051 3.612536e+00
## 4702 47.01 19.371923 4.274797090 3.724258e+00
## 4703 47.02 19.020917 4.228302363 3.848095e+00
## 4704 47.03 18.683123 4.198588310 3.983701e+00
## 4705 47.04 18.359237 4.185167018 4.130870e+00
## 4706 47.05 18.049974 4.187583608 4.289522e+00
## 4707 47.06 17.756082 4.205423774 4.459675e+00
## 4708 47.07 17.478352 4.238318737 4.641432e+00
## 4709 47.08 17.217634 4.285947713 4.834960e+00
## 4710 47.09 16.974844 4.348038442 5.040466e+00
## 4711 47.10 16.750978 4.424365681 5.258181e+00
## 4712 47.11 16.547118 4.514747763 5.488336e+00
## 4713 47.12 16.364444 4.619041397 5.731140e+00
## 4714 47.13 16.204241 4.737134715 5.986755e+00
## 4715 47.14 16.067903 4.868938523 6.255268e+00
## 4716 47.15 15.956938 5.014375685 6.536663e+00
## 4717 47.16 15.872972 5.173368617 6.830789e+00
## 4718 47.17 15.817741 5.345824664 7.137322e+00
## 4719 47.18 15.793087 5.531619292 7.455727e+00
## 4720 47.19 15.800946 5.730577001 7.785215e+00
## 4721 47.20 15.843323 5.942449838 8.124700e+00
## 4722 47.21 15.922266 6.166893477 8.472744e+00
## 4723 47.22 16.039823 6.403440935 8.827516e+00
## 4724 47.23 16.197988 6.651474135 9.186737e+00
## 4725 47.24 16.398633 6.910193683 9.547641e+00
## 4726 47.25 16.643426 7.178587524 9.906929e+00
## 4727 47.26 16.933730 7.455399378 1.026075e+01
## 4728 47.27 17.270483 7.739098291 1.060468e+01
## 4729 47.28 17.654072 8.027850972 1.093373e+01
## 4730 47.29 18.084185 8.319499074 1.124241e+01
## 4731 47.30 18.559665 8.611543940 1.152478e+01
## 4732 47.31 19.078363 8.901141675 1.177455e+01
## 4733 47.32 19.636999 9.185111469 1.198527e+01
## 4734 47.33 20.231057 9.459961290 1.215052e+01
## 4735 47.34 20.854717 9.721931978 1.226417e+01
## 4736 47.35 21.500838 9.967062716 1.232063e+01
## 4737 47.36 22.161017 10.191278727 1.231521e+01
## 4738 47.37 22.825730 10.390500552 1.224439e+01
## 4739 47.38 23.484557 10.560771743 1.210613e+01
## 4740 47.39 24.126492 10.698400329 1.190012e+01
## 4741 47.40 24.740329 10.800106575 1.162795e+01
## 4742 47.41 25.315097 10.863168585 1.129316e+01
## 4743 47.42 25.840515 10.885555369 1.090124e+01
## 4744 47.43 26.307438 10.866037318 1.045941e+01
## 4745 47.44 26.708246 10.804264519 9.976388e+00
## 4746 47.45 27.037147 10.700805989 9.461992e+00
## 4747 47.46 27.290376 10.557145602 8.926684e+00
## 4748 47.47 27.466255 10.375634367 8.381106e+00
## 4749 47.48 27.565139 10.159402145 7.835619e+00
## 4750 47.49 27.589244 9.912235802 7.299878e+00
## 4751 47.50 27.542383 9.638432742 6.782499e+00
## 4752 47.51 27.429646 9.342640547 6.290810e+00
## 4753 47.52 27.257049 9.029693543 5.830712e+00
## 4754 47.53 27.031190 8.704456204 5.406630e+00
## 4755 47.54 26.758920 8.371681485 5.021562e+00
## 4756 47.55 26.447078 8.035890369 4.677183e+00
## 4757 47.56 26.102257 7.701275358 4.374008e+00
## 4758 47.57 25.730651 7.371630413 4.111581e+00
## 4759 47.58 25.337938 7.050305922 3.888670e+00
## 4760 47.59 24.929226 6.740186974 3.703462e+00
## 4761 47.60 24.509028 6.443690330 3.553746e+00
## 4762 47.61 24.081281 6.162779905 3.437068e+00
## 4763 47.62 23.649376 5.898993075 3.350870e+00
## 4764 47.63 23.216204 5.653476719 3.292594e+00
## 4765 47.64 22.784220 5.427028834 3.259769e+00
## 4766 47.65 22.355496 5.220143184 3.250074e+00
## 4767 47.66 21.931779 5.033054640 3.261380e+00
## 4768 47.67 21.514548 4.865783490 3.291776e+00
## 4769 47.68 21.105066 4.718177388 3.339582e+00
## 4770 47.69 20.704417 4.589950085 3.403354e+00
## 4771 47.70 20.313552 4.480716371 3.481880e+00
## 4772 47.71 19.933323 4.390022960 3.574165e+00
## 4773 47.72 19.564505 4.317375249 3.679422e+00
## 4774 47.73 19.207829 4.262260042 3.797053e+00
## 4775 47.74 18.864000 4.224164415 3.926629e+00
## 4776 47.75 18.533717 4.202590987 4.067874e+00
## 4777 47.76 18.217687 4.197069902 4.220643e+00
## 4778 47.77 17.916643 4.207167797 4.384901e+00
## 4779 47.78 17.631358 4.232493904 4.560708e+00
## 4780 47.79 17.362651 4.272703903 4.748196e+00
## 4781 47.80 17.111408 4.327501473 4.947547e+00
## 4782 47.81 16.878585 4.396637697 5.158978e+00
## 4783 47.82 16.665221 4.479908596 5.382715e+00
## 4784 47.83 16.472448 4.577150838 5.618976e+00
## 4785 47.84 16.301497 4.688235694 5.867940e+00
## 4786 47.85 16.153705 4.813061155 6.129727e+00
## 4787 47.86 16.030523 4.951542333 6.404370e+00
## 4788 47.87 15.933514 5.103599873 6.691780e+00
## 4789 47.88 15.864356 5.269146387 6.991715e+00
## 4790 47.89 15.824835 5.448070812 7.303741e+00
## 4791 47.90 15.816834 5.640220519 7.627191e+00
## 4792 47.91 15.842317 5.845380977 7.961125e+00
## 4793 47.92 15.903306 6.063253147 8.304276e+00
## 4794 47.93 16.001838 6.293428481 8.655008e+00
## 4795 47.94 16.139928 6.535361622 9.011264e+00
## 4796 47.95 16.319499 6.788341142 9.370520e+00
## 4797 47.96 16.542311 7.051458863 9.729745e+00
## 4798 47.97 16.809869 7.323578510 1.008536e+01
## 4799 47.98 17.123312 7.603304822 1.043324e+01
## 4800 47.99 17.483291 7.888954617 1.076869e+01
## 4801 48.00 17.889833 8.178531727 1.108646e+01
## 4802 48.01 18.342195 8.469708125 1.138085e+01
## 4803 48.02 18.838712 8.759813972 1.164576e+01
## 4804 48.03 19.376661 9.045839552 1.187484e+01
## 4805 48.04 19.952139 9.324452186 1.206166e+01
## 4806 48.05 20.559973 9.592031022 1.219996e+01
## 4807 48.06 21.193677 9.844722080 1.228391e+01
## 4808 48.07 21.845479 10.078514994 1.230838e+01
## 4809 48.08 22.506420 10.289341476 1.226930e+01
## 4810 48.09 23.166532 10.473193754 1.216390e+01
## 4811 48.10 23.815112 10.626259115 1.199105e+01
## 4812 48.11 24.441069 10.745064513 1.175139e+01
## 4813 48.12 25.033334 10.826623181 1.144752e+01
## 4814 48.13 25.581307 10.868573733 1.108398e+01
## 4815 48.14 26.075308 10.869301555 1.066715e+01
## 4816 48.15 26.506991 10.828032710 1.020501e+01
## 4817 48.16 26.869693 10.744892183 9.706840e+00
## 4818 48.17 27.158679 10.620920490 9.182768e+00
## 4819 48.18 27.371273 10.458047467 8.643341e+00
## 4820 48.19 27.506855 10.259022855 8.099041e+00
## 4821 48.20 27.566748 10.027311717 7.559847e+00
## 4822 48.21 27.553998 9.766959162 7.034858e+00
## 4823 48.22 27.473079 9.482436539 6.532006e+00
## 4824 48.23 27.329555 9.178479582 6.057860e+00
## 4825 48.24 27.129734 8.859928536 5.617538e+00
## 4826 48.25 26.880332 8.531579735 5.214713e+00
## 4827 48.26 26.588180 8.198055477 4.851685e+00
## 4828 48.27 26.259972 7.863696427 4.529522e+00
## 4829 48.28 25.902078 7.532478741 4.248230e+00
## 4830 48.29 25.520405 7.207957349 4.006949e+00
## 4831 48.30 25.120321 6.893233097 3.804149e+00
## 4832 48.31 24.706609 6.590941256 3.637814e+00
## 4833 48.32 24.283472 6.303258086 3.505615e+00
## 4834 48.33 23.854550 6.031921728 3.405052e+00
## 4835 48.34 23.422969 5.778263761 3.333575e+00
## 4836 48.35 22.991385 5.543248030 3.288681e+00
## 4837 48.36 22.562049 5.327513751 3.267987e+00
## 4838 48.37 22.136861 5.131420384 3.269280e+00
## 4839 48.38 21.717429 4.955092300 3.290552e+00
## 4840 48.39 21.305118 4.798461710 3.330018e+00
## 4841 48.40 20.901098 4.661308798 3.386130e+00
## 4842 48.41 20.506386 4.543298338 3.457567e+00
## 4843 48.42 20.121883 4.444012403 3.543234e+00
## 4844 48.43 19.748402 4.362978991 3.642249e+00
## 4845 48.44 19.386700 4.299696580 3.753924e+00
## 4846 48.45 19.037496 4.253654770 3.877751e+00
## 4847 48.46 18.701493 4.224351200 4.013380e+00
## 4848 48.47 18.379399 4.211305049 4.160603e+00
## 4849 48.48 18.071936 4.214067383 4.319332e+00
## 4850 48.49 17.779860 4.232228646 4.489580e+00
## 4851 48.50 17.503970 4.265423576 4.671440e+00
## 4852 48.51 17.245124 4.313333749 4.865069e+00
## 4853 48.52 17.004244 4.375688033 5.070663e+00
## 4854 48.53 16.782331 4.452260980 5.288441e+00
## 4855 48.54 16.580475 4.542869470 5.518618e+00
## 4856 48.55 16.399858 4.647367451 5.761387e+00
## 4857 48.56 16.241768 4.765638920 6.016893e+00
## 4858 48.57 16.107601 4.897589154 6.285202e+00
## 4859 48.58 15.998864 5.043134045 6.566278e+00
## 4860 48.59 15.917179 5.202187515 6.859945e+00
## 4861 48.60 15.864277 5.374646858 7.165853e+00
## 4862 48.61 15.841990 5.560375916 7.483441e+00
## 4863 48.62 15.852238 5.759185966 7.811889e+00
## 4864 48.63 15.897010 5.970814254 8.150081e+00
## 4865 48.64 15.978326 6.194900166 8.496549e+00
## 4866 48.65 16.098204 6.430958965 8.849429e+00
## 4867 48.66 16.258597 6.678353630 9.206416e+00
## 4868 48.67 16.461332 6.936264968 9.564714e+00
## 4869 48.68 16.708019 7.203660697 9.921004e+00
## 4870 48.69 16.999957 7.479264451 1.027142e+01
## 4871 48.70 17.338012 7.761526086 1.061152e+01
## 4872 48.71 17.722490 8.048594930 1.093635e+01
## 4873 48.72 18.152994 8.338298236 1.124042e+01
## 4874 48.73 18.628280 8.628127173 1.151783e+01
## 4875 48.74 19.146107 8.915233363 1.176235e+01
## 4876 48.75 19.703117 9.196438891 1.196762e+01
## 4877 48.76 20.294723 9.468262870 1.212732e+01
## 4878 48.77 20.915049 9.726967096 1.223543e+01
## 4879 48.78 21.556925 9.968622707 1.228653e+01
## 4880 48.79 22.211948 10.189198507 1.227608e+01
## 4881 48.80 22.870631 10.384670052 1.220072e+01
## 4882 48.81 23.522626 10.551146599 1.205858e+01
## 4883 48.82 24.157042 10.685010883 1.184951e+01
## 4884 48.83 24.762823 10.783064590 1.157522e+01
## 4885 48.84 25.329178 10.842670681 1.123937e+01
## 4886 48.85 25.846034 10.861882661 1.084749e+01
## 4887 48.86 26.304462 10.839550823 1.040683e+01
## 4888 48.87 26.697056 10.775396522 9.926074e+00
## 4889 48.88 27.018229 10.670047604 9.414944e+00
## 4890 48.89 27.264388 10.525031378 8.883786e+00
## 4891 48.90 27.433998 10.342724850 8.343088e+00
## 4892 48.91 27.527516 10.126265592 7.803033e+00
## 4893 48.92 27.547213 9.879430178 7.273095e+00
## 4894 48.93 27.496918 9.606489202 6.761706e+00
## 4895 48.94 27.381699 9.312049291 6.276027e+00
## 4896 48.95 27.207518 9.000892617 5.821809e+00
## 4897 48.96 26.980894 8.677823575 5.403357e+00
## 4898 48.97 26.708591 8.347530521 5.023574e+00
## 4899 48.98 26.397343 8.014468273 4.684070e+00
## 4900 48.99 26.053646 7.682764754 4.385322e+00
## 4901 49.00 25.683596 7.356153124 4.126858e+00
## 4902 49.01 25.292783 7.037928135 3.907450e+00
## 4903 49.02 24.886234 6.730925571 3.725307e+00
## 4904 49.03 24.468399 6.437520483 3.578246e+00
## 4905 49.04 24.043155 6.159641954 3.463854e+00
## 4906 49.05 23.613850 5.898799877 3.379615e+00
## 4907 49.06 23.183341 5.656120396 3.323014e+00
## 4908 49.07 22.754055 5.432386920 3.291627e+00
## 4909 49.08 22.328047 5.228084456 3.283173e+00
## 4910 49.09 21.907051 5.043443487 3.295562e+00
## 4911 49.10 21.492542 4.878483910 3.326919e+00
## 4912 49.11 21.085777 4.733056288 3.375595e+00
## 4913 49.12 20.687843 4.606879762 3.440175e+00
## 4914 49.13 20.299694 4.499576424 3.519469e+00
## 4915 49.14 19.922186 4.410701603 3.612501e+00
## 4916 49.15 19.556103 4.339770135 3.718500e+00
## 4917 49.16 19.202184 4.286278659 3.836879e+00
## 4918 49.17 18.861141 4.249724113 3.967218e+00
## 4919 49.18 18.533685 4.229618696 4.109247e+00
## 4920 49.19 18.220532 4.225501566 4.262821e+00
## 4921 49.20 17.922428 4.236947570 4.427908e+00
## 4922 49.21 17.640154 4.263573266 4.604563e+00
## 4923 49.22 17.374545 4.305040511 4.792910e+00
## 4924 49.23 17.126495 4.361057811 4.993125e+00
## 4925 49.24 16.896974 4.431379638 5.205412e+00
## 4926 49.25 16.687031 4.515803813 5.429983e+00
## 4927 49.26 16.497810 4.614167079 5.667036e+00
## 4928 49.27 16.330552 4.726338880 5.916731e+00
## 4929 49.28 16.186604 4.852213339 6.179161e+00
## 4930 49.29 16.067423 4.991699476 6.454331e+00
## 4931 49.30 15.974578 5.144709446 6.742117e+00
## 4932 49.31 15.909748 5.311144796 7.042240e+00
## 4933 49.32 15.874716 5.490880620 7.354224e+00
## 4934 49.33 15.871359 5.683747530 7.677356e+00
## 4935 49.34 15.901627 5.889511139 8.010642e+00
## 4936 49.35 15.967518 6.107849370 8.352763e+00
## 4937 49.36 16.071041 6.338327397 8.702021e+00
## 4938 49.37 16.214165 6.580370404 9.056302e+00
## 4939 49.38 16.398760 6.833234499 9.413018e+00
## 4940 49.39 16.626517 7.095976376 9.769079e+00
## 4941 49.40 16.898853 7.367422526 1.012086e+01
## 4942 49.41 17.216808 7.646139155 1.046417e+01
## 4943 49.42 17.580914 7.930404351 1.079429e+01
## 4944 49.43 17.991064 8.218184455 1.110596e+01
## 4945 49.44 18.446365 8.507116975 1.139349e+01
## 4946 49.45 18.944997 8.794502755 1.165079e+01
## 4947 49.46 19.484073 9.077310330 1.187159e+01
## 4948 49.47 20.059528 9.352195487 1.204957e+01
## 4949 49.48 20.666042 9.615538756 1.217862e+01
## 4950 49.49 21.297002 9.863503064 1.225307e+01
## 4951 49.50 21.944543 10.092112703 1.226803e+01
## 4952 49.51 22.599656 10.297353401 1.221967e+01
## 4953 49.52 23.252380 10.475291437 1.210551e+01
## 4954 49.53 23.892080 10.622207685 1.192469e+01
## 4955 49.54 24.507798 10.734740354 1.167813e+01
## 4956 49.55 25.088664 10.810028297 1.136867e+01
## 4957 49.56 25.624334 10.845845447 1.100107e+01
## 4958 49.57 26.105427 10.840716416 1.058184e+01
## 4959 49.58 26.523930 10.794003901 1.011905e+01
## 4960 49.59 26.873518 10.705960164 9.621967e+00
## 4961 49.60 27.149789 10.577737578 9.100658e+00
## 4962 49.61 27.350365 10.411356514 8.565525e+00
## 4963 49.62 27.474881 10.209632442 8.026850e+00
## 4964 49.63 27.524860 9.976068753 7.494371e+00
## 4965 49.64 27.503482 9.714721107 6.976924e+00
## 4966 49.65 27.415293 9.430044925 6.482172e+00
## 4967 49.66 27.265873 9.126736250 6.016424e+00
## 4968 49.67 27.061492 8.809575772 5.584564e+00
## 4969 49.68 26.808792 8.483284988 5.190057e+00
## 4970 49.69 26.514495 8.152400832 4.835041e+00
## 4971 49.70 26.185175 7.821172832 4.520455e+00
## 4972 49.71 25.827067 7.493484535 4.246217e+00
## 4973 49.72 25.445950 7.172800434 4.011415e+00
## 4974 49.73 25.047064 6.862136061 3.814496e+00
## 4975 49.74 24.635079 6.564048676 3.653450e+00
## 4976 49.75 24.214094 6.280645262 3.525969e+00
## 4977 49.76 23.787665 6.013604215 3.429590e+00
## 4978 49.77 23.358841 5.764207136 3.361812e+00
## 4979 49.78 22.930220 5.533377463 3.320185e+00
## 4980 49.79 22.504006 5.321723045 3.302381e+00
## 4981 49.80 22.082064 5.129580270 3.306242e+00
## 4982 49.81 21.665974 4.957057836 3.329813e+00
## 4983 49.82 21.257082 4.804078718 3.371363e+00
## 4984 49.83 20.856547 4.670419327 3.429385e+00
## 4985 49.84 20.465382 4.555745177 3.502603e+00
## 4986 49.85 20.084484 4.459642700 3.589957e+00
## 4987 49.86 19.714669 4.381647042 3.690596e+00
## 4988 49.87 19.356699 4.321265878 3.803858e+00
## 4989 49.88 19.011301 4.277999381 3.929257e+00
## 4990 49.89 18.679188 4.251356560 4.066459e+00
## 4991 49.90 18.361078 4.240868242 4.215269e+00
## 4992 49.91 18.057708 4.246096967 4.375606e+00
## 4993 49.92 17.769849 4.266644089 4.547485e+00
## 4994 49.93 17.498314 4.302154331 4.731002e+00
## 4995 49.94 17.243977 4.352318033 4.926305e+00
## 4996 49.95 17.007778 4.416871282 5.133583e+00
## 4997 49.96 16.790736 4.495594051 5.353039e+00
## 4998 49.97 16.593958 4.588306559 5.584872e+00
## 4999 49.98 16.418644 4.694863737 5.829248e+00
## 5000 49.99 16.266100 4.815147935 6.086284e+00
## 5001 50.00 16.137735 4.949059846 6.356011e+00
## 5002 50.01 16.035071 5.096507548 6.638351e+00
## 5003 50.02 15.959741 5.257393588 6.933078e+00
## 5004 50.03 15.913479 5.431599999 7.239788e+00
## 5005 50.04 15.898120 5.618971148 7.557856e+00
## 5006 50.05 15.915576 5.819294308 7.886392e+00
## 5007 50.06 15.967817 6.032277898 8.224200e+00
## 5008 50.07 16.056836 6.257527455 8.569728e+00
## 5009 50.08 16.184607 6.494519235 8.921023e+00
## 5010 50.09 16.353024 6.742572072 9.275682e+00
## 5011 50.10 16.563834 7.000817699 9.630815e+00
## 5012 50.11 16.818546 7.268170310 9.983007e+00
## 5013 50.12 17.118332 7.543296361 1.032830e+01
## 5014 50.13 17.463907 7.824586070 1.066219e+01
## 5015 50.14 17.855399 8.110128322 1.097965e+01
## 5016 50.15 18.292211 8.397691293 1.127516e+01
## 5017 50.16 18.772872 8.684711150 1.154281e+01
## 5018 50.17 19.294904 8.968291834 1.177644e+01
## 5019 50.18 19.854700 9.245218753 1.196976e+01
## 5020 50.19 20.447427 9.511989373 1.211661e+01
## 5021 50.20 21.066984 9.764862985 1.221118e+01
## 5022 50.21 21.706006 9.999931274 1.224832e+01
## 5023 50.22 22.355945 10.213209998 1.222380e+01
## 5024 50.23 23.007235 10.400750417 1.213464e+01
## 5025 50.24 23.649532 10.558767187 1.197938e+01
## 5026 50.25 24.272039 10.683777291 1.175828e+01
## 5027 50.26 24.863888 10.772742647 1.147344e+01
## 5028 50.27 25.414574 10.823207458 1.112887e+01
## 5029 50.28 25.914385 10.833420559 1.073042e+01
## 5030 50.29 26.354823 10.802433193 1.028554e+01
## 5031 50.30 26.728951 10.730163897 9.803023e+00
## 5032 50.31 27.031661 10.617424342 9.292597e+00
## 5033 50.32 27.259827 10.465903392 8.764507e+00
## 5034 50.33 27.412333 10.278109838 8.229044e+00
## 5035 50.34 27.489992 10.057277845 7.696117e+00
## 5036 50.35 27.495355 9.807242370 7.174867e+00
## 5037 50.36 27.432442 9.532293698 6.673367e+00
## 5038 50.37 27.306426 9.237021351 6.198409e+00
## 5039 50.38 27.123296 8.926157495 5.755390e+00
## 5040 50.39 26.889530 8.604428979 5.348292e+00
## 5041 50.40 26.611795 8.276425316 4.979738e+00
## 5042 50.41 26.296691 7.946487748 4.651110e+00
## 5043 50.42 25.950556 7.618622274 4.362711e+00
## 5044 50.43 25.579314 7.296437416 4.113943e+00
## 5045 50.44 25.188384 6.983105814 3.903502e+00
## 5046 50.45 24.782631 6.681347350 3.729559e+00
## 5047 50.46 24.366352 6.393430482 3.589931e+00
## 5048 50.47 23.943292 6.121188955 3.482228e+00
## 5049 50.48 23.516679 5.866049712 3.403978e+00
## 5050 50.49 23.089274 5.629068746 3.352724e+00
## 5051 50.50 22.663424 5.410971962 3.326108e+00
## 5052 50.51 22.241117 5.212198755 3.321920e+00
## 5053 50.52 21.824038 5.032945244 3.338140e+00
## 5054 50.53 21.413623 4.873206846 3.372963e+00
## 5055 50.54 21.011102 4.732818401 3.424806e+00
## 5056 50.55 20.617543 4.611490850 3.492314e+00
## 5057 50.56 20.233892 4.508844341 3.574351e+00
## 5058 50.57 19.860997 4.424437376 3.669991e+00
## 5059 50.58 19.499645 4.357791981 3.778505e+00
## 5060 50.59 19.150578 4.308415011 3.899342e+00
## 5061 50.60 18.814520 4.275815755 4.032112e+00
## 5062 50.61 18.492190 4.259520104 4.176566e+00
## 5063 50.62 18.184321 4.259081545 4.332579e+00
## 5064 50.63 17.891675 4.274089257 4.500129e+00
## 5065 50.64 17.615053 4.304173588 4.679278e+00
## 5066 50.65 17.355308 4.349009133 4.870149e+00
## 5067 50.66 17.113360 4.408315634 5.072912e+00
## 5068 50.67 16.890200 4.481856856 5.287760e+00
## 5069 50.68 16.686902 4.569437570 5.514885e+00
## 5070 50.69 16.504635 4.670898712 5.754460e+00
## 5071 50.70 16.344664 4.786110751 6.006611e+00
## 5072 50.71 16.208361 4.914965250 6.271394e+00
## 5073 50.72 16.097203 5.057364629 6.548761e+00
## 5074 50.73 16.012780 5.213209959 6.838533e+00
## 5075 50.74 15.956784 5.382386738 7.140360e+00
## 5076 50.75 15.931007 5.564748558 7.453688e+00
## 5077 50.76 15.937326 5.760098573 7.777716e+00
## 5078 50.77 15.977679 5.968168573 8.111350e+00
## 5079 50.78 16.054041 6.188595839 8.453159e+00
## 5080 50.79 16.168377 6.420897787 8.801328e+00
## 5081 50.80 16.322596 6.664444581 9.153611e+00
## 5082 50.81 16.518479 6.918430106 9.507291e+00
## 5083 50.82 16.757602 7.181841984 9.859142e+00
## 5084 50.83 17.041239 7.453431520 1.020540e+01
## 5085 50.84 17.370246 7.731684843 1.054177e+01
## 5086 50.85 17.744942 8.014796883 1.086342e+01
## 5087 50.86 18.164965 8.300650199 1.116502e+01
## 5088 50.87 18.629139 8.586801090 1.144082e+01
## 5089 50.88 19.135329 8.870475706 1.168478e+01
## 5090 50.89 19.680315 9.148579053 1.189068e+01
## 5091 50.90 20.259695 9.417719764 1.205235e+01
## 5092 50.91 20.867816 9.674253175 1.216389e+01
## 5093 50.92 21.497766 9.914344543 1.221995e+01
## 5094 50.93 22.141430 10.134053161 1.221603e+01
## 5095 50.94 22.789626 10.329436585 1.214874e+01
## 5096 50.95 23.432314 10.496672366 1.201612e+01
## 5097 50.96 24.058895 10.632192606 1.181784e+01
## 5098 50.97 24.658573 10.732824669 1.155540e+01
## 5099 50.98 25.220763 10.795929680 1.123214e+01
## 5100 50.99 25.735532 10.819529385 1.085328e+01
## 5101 51.00 26.194009 10.802411749 1.042569e+01
## 5102 51.01 26.588764 10.744206586 9.957680e+00
## 5103 51.02 26.914100 10.645424389 9.458631e+00
## 5104 51.03 27.166241 10.507454420 8.938570e+00
## 5105 51.04 27.343404 10.332521445 8.407729e+00
## 5106 51.05 27.445753 10.123603845 7.876102e+00
## 5107 51.06 27.475249 9.884320150 7.353047e+00
## 5108 51.07 27.435402 9.618790851 6.846958e+00
## 5109 51.08 27.330979 9.331486251 6.365025e+00
## 5110 51.09 27.167669 9.027070668 5.913085e+00
## 5111 51.10 26.951756 8.710252175 5.495575e+00
## 5112 51.11 26.689810 8.385646146 5.115559e+00
## 5113 51.12 26.388422 8.057658062 4.774831e+00
## 5114 51.13 26.053987 7.730389101 4.474056e+00
## 5115 51.14 25.692538 7.407565569 4.212942e+00
## 5116 51.15 25.309639 7.092492862 3.990432e+00
## 5117 51.16 24.910316 6.788031590 3.804885e+00
## 5118 51.17 24.499038 6.496592970 3.654253e+00
## 5119 51.18 24.079719 6.220150258 3.536230e+00
## 5120 51.19 23.655750 5.960262692 3.448389e+00
## 5121 51.20 23.230040 5.718108501 3.388285e+00
## 5122 51.21 22.805067 5.494523887 3.353542e+00
## 5123 51.22 22.382937 5.290045262 3.341914e+00
## 5124 51.23 21.965435 5.104952535 3.351332e+00
## 5125 51.24 21.554081 4.939311660 3.379930e+00
## 5126 51.25 21.150176 4.793015236 3.426059e+00
## 5127 51.26 20.754845 4.665820109 3.488296e+00
## 5128 51.27 20.369076 4.557381500 3.565437e+00
## 5129 51.28 19.993756 4.467283312 3.656493e+00
## 5130 51.29 19.629695 4.395064450 3.760670e+00
## 5131 51.30 19.277655 4.340241305 3.877359e+00
## 5132 51.31 18.938369 4.302326498 4.006118e+00
## 5133 51.32 18.612563 4.280844118 4.146650e+00
## 5134 51.33 18.300969 4.275341708 4.298787e+00
## 5135 51.34 18.004344 4.285399286 4.462470e+00
## 5136 51.35 17.723478 4.310635654 4.637728e+00
## 5137 51.36 17.459212 4.350712280 4.824662e+00
## 5138 51.37 17.212445 4.405334818 5.023419e+00
## 5139 51.38 16.984147 4.474252672 5.234178e+00
## 5140 51.39 16.775369 4.557256643 5.457125e+00
## 5141 51.40 16.587246 4.654174652 5.692433e+00
## 5142 51.41 16.421015 4.764865679 5.940234e+00
## 5143 51.42 16.278010 4.889211924 6.200597e+00
## 5144 51.43 16.159674 5.027109137 6.473500e+00
## 5145 51.44 16.067555 5.178455049 6.758796e+00
## 5146 51.45 16.003308 5.343135857 7.056180e+00
## 5147 51.46 15.968687 5.521010587 7.365155e+00
## 5148 51.47 15.965533 5.711893267 7.684989e+00
## 5149 51.48 15.995754 5.915532872 8.014671e+00
## 5150 51.49 16.061300 6.131591003 8.352870e+00
## 5151 51.50 16.164126 6.359617244 8.697886e+00
## 5152 51.51 16.306142 6.599022561 9.047605e+00
## 5153 51.52 16.489149 6.849051008 9.399455e+00
## 5154 51.53 16.714768 7.108750258 9.750371e+00
## 5155 51.54 16.984346 7.376941789 1.009677e+01
## 5156 51.55 17.298848 7.652191925 1.043451e+01
## 5157 51.56 17.658737 7.932785202 1.075896e+01
## 5158 51.57 18.063844 8.216702035 1.106496e+01
## 5159 51.58 18.513225 8.501602869 1.134692e+01
## 5160 51.59 19.005028 8.784821485 1.159890e+01
## 5161 51.60 19.536359 9.063370240 1.181478e+01
## 5162 51.61 20.103176 9.333960158 1.198842e+01
## 5163 51.62 20.700215 9.593038448 1.211387e+01
## 5164 51.63 21.320964 9.836845479 1.218566e+01
## 5165 51.64 21.957698 10.061492291 1.219906e+01
## 5166 51.65 22.601592 10.263058310 1.215039e+01
## 5167 51.66 23.242910 10.437707215 1.203729e+01
## 5168 51.67 23.871269 10.581816930 1.185896e+01
## 5169 51.68 24.475988 10.692117682 1.161634e+01
## 5170 51.69 25.046476 10.765830325 1.131224e+01
## 5171 51.70 25.572661 10.800795855 1.095130e+01
## 5172 51.71 26.045408 10.795586620 1.053987e+01
## 5173 51.72 26.456905 10.749590276 1.008580e+01
## 5174 51.73 26.800977 10.663059123 9.598109e+00
## 5175 51.74 27.073308 10.537120099 9.086585e+00
## 5176 51.75 27.271541 10.373743833 8.561344e+00
## 5177 51.76 27.395271 10.175674541 8.032398e+00
## 5178 51.77 27.445922 9.946325984 7.509241e+00
## 5179 51.78 27.426532 9.689651254 7.000506e+00
## 5180 51.79 27.341472 9.409995775 6.513693e+00
## 5181 51.80 27.196129 9.111943535 6.055007e+00
## 5182 51.81 26.996577 8.800166150 5.629272e+00
## 5183 51.82 26.749266 8.479283031 5.239938e+00
## 5184 51.83 26.460743 8.153739058 4.889166e+00
## 5185 51.84 26.137423 7.827703993 4.577948e+00
## 5186 51.85 25.785413 7.504995684 4.306280e+00
## 5187 51.86 25.410382 7.189027242 4.073340e+00
## 5188 51.87 25.017489 6.882776826 3.877674e+00
## 5189 51.88 24.611343 6.588777144 3.717371e+00
## 5190 51.89 24.196005 6.309122343 3.590219e+00
## 5191 51.90 23.775005 6.045488120 3.493845e+00
## 5192 51.91 23.351382 5.799161800 3.425831e+00
## 5193 51.92 22.927735 5.571079240 3.383796e+00
## 5194 51.93 22.506275 5.361866007 3.365475e+00
## 5195 51.94 22.088880 5.171879834 3.368761e+00
## 5196 51.95 21.677148 5.001252958 3.391741e+00
## 5197 51.96 21.272446 4.849933235 3.432714e+00
## 5198 51.97 20.875953 4.717722281 3.490201e+00
## 5199 51.98 20.488701 4.604310377 3.562940e+00
## 5200 51.99 20.111611 4.509307691 3.649883e+00
## 5201 52.00 19.745519 4.432271605 3.750185e+00
## 5202 52.01 19.391206 4.372730192 3.863184e+00
## 5203 52.02 19.049420 4.330201927 3.988389e+00
## 5204 52.03 18.720891 4.304211862 4.125462e+00
## 5205 52.04 18.406357 4.294304491 4.274195e+00
## 5206 52.05 18.106569 4.300053578 4.434494e+00
## 5207 52.06 17.822313 4.321069212 4.606359e+00
## 5208 52.07 17.554418 4.357002347 4.789865e+00
## 5209 52.08 17.303772 4.407547022 4.985140e+00
## 5210 52.09 17.071325 4.472440484 5.192348e+00
## 5211 52.10 16.858107 4.551461322 5.411665e+00
## 5212 52.11 16.665232 4.644425737 5.643259e+00
## 5213 52.12 16.493907 4.751182003 5.887264e+00
## 5214 52.13 16.345439 4.871603120 6.143760e+00
## 5215 52.14 16.221237 5.005577677 6.412737e+00
## 5216 52.15 16.122818 5.152998840 6.694074e+00
## 5217 52.16 16.051802 5.313751357 6.987499e+00
## 5218 52.17 16.009907 5.487696532 7.292558e+00
## 5219 52.18 15.998942 5.674655093 7.608571e+00
## 5220 52.19 16.020786 5.874387771 7.934595e+00
## 5221 52.20 16.077365 6.086573635 8.269377e+00
## 5222 52.21 16.170614 6.310786282 8.611310e+00
## 5223 52.22 16.302438 6.546467930 8.958387e+00
## 5224 52.23 16.474648 6.792901722 9.308155e+00
## 5225 52.24 16.688891 7.049182777 9.657684e+00
## 5226 52.25 16.946563 7.314188753 1.000353e+01
## 5227 52.26 17.248706 7.586550968 1.034172e+01
## 5228 52.27 17.595892 7.864627495 1.066776e+01
## 5229 52.28 17.988096 8.146480021 1.097665e+01
## 5230 52.29 18.424558 8.429856642 1.126293e+01
## 5231 52.30 18.903649 8.712183087 1.152081e+01
## 5232 52.31 19.422736 8.990565136 1.174424e+01
## 5233 52.32 19.978074 9.261805026 1.192713e+01
## 5234 52.33 20.564724 9.522434509 1.206354e+01
## 5235 52.34 21.176511 9.768766709 1.214790e+01
## 5236 52.35 21.806054 9.996968071 1.217536e+01
## 5237 52.36 22.444849 10.203150423 1.214200e+01
## 5238 52.37 23.083441 10.383481541 1.204515e+01
## 5239 52.38 23.711670 10.534310700 1.188365e+01
## 5240 52.39 24.318997 10.652303715 1.165801e+01
## 5241 52.40 24.894874 10.734580163 1.137056e+01
## 5242 52.41 25.429166 10.778844090 1.102547e+01
## 5243 52.42 25.912563 10.783498882 1.062862e+01
## 5244 52.43 26.336978 10.747737285 1.018745e+01
## 5245 52.44 26.695870 10.671598892 9.710633e+00
## 5246 52.45 26.984489 10.555989718 9.207702e+00
## 5247 52.46 27.200008 10.402661477 8.688629e+00
## 5248 52.47 27.341540 10.214151522 8.163388e+00
## 5249 52.48 27.410044 9.993688151 7.641541e+00
## 5250 52.49 27.408135 9.745067920 7.131879e+00
## 5251 52.50 27.339826 9.472513437 6.642136e+00
## 5252 52.51 27.210213 9.180522220 6.178800e+00
## 5253 52.52 27.025156 8.873716135 5.747007e+00
## 5254 52.53 26.790967 8.556699831 5.350533e+00
## 5255 52.54 26.514125 8.233935299 4.991848e+00
## 5256 52.55 26.201034 7.909636799 4.672238e+00
## 5257 52.56 25.857839 7.587688376 4.391951e+00
## 5258 52.57 25.490282 7.271585358 4.150384e+00
## 5259 52.58 25.103619 6.964398826 3.946256e+00
## 5260 52.59 24.702571 6.668760429 3.777791e+00
## 5261 52.60 24.291314 6.386864731 3.642874e+00
## 5262 52.61 23.873495 6.120485780 3.539195e+00
## 5263 52.62 23.452265 5.871004437 3.464367e+00
## 5264 52.63 23.030324 5.639443284 3.416024e+00
## 5265 52.64 22.609977 5.426506233 3.391890e+00
## 5266 52.65 22.193182 5.232620397 3.389835e+00
## 5267 52.66 21.781607 5.057978254 3.407913e+00
## 5268 52.67 21.376679 4.902578575 3.444384e+00
## 5269 52.68 20.979626 4.766264994 3.497723e+00
## 5270 52.69 20.591522 4.648761486 3.566623e+00
## 5271 52.70 20.213320 4.549704260 3.649989e+00
## 5272 52.71 19.845881 4.468669866 3.746929e+00
## 5273 52.72 19.490007 4.405199467 3.856740e+00
## 5274 52.73 19.146458 4.358819356 3.978888e+00
## 5275 52.74 18.815974 4.329057902 4.112998e+00
## 5276 52.75 18.499295 4.315459157 4.258827e+00
## 5277 52.76 18.197176 4.317593372 4.416250e+00
## 5278 52.77 17.910397 4.335064696 4.585240e+00
## 5279 52.78 17.639783 4.367516292 4.765848e+00
## 5280 52.79 17.386209 4.414633113 4.958184e+00
## 5281 52.80 17.150615 4.476142511 5.162394e+00
## 5282 52.81 16.934013 4.551812829 5.378645e+00
## 5283 52.82 16.737499 4.641450137 5.607097e+00
## 5284 52.83 16.562258 4.744893126 5.847882e+00
## 5285 52.84 16.409574 4.862006172 6.101083e+00
## 5286 52.85 16.280829 4.992670615 6.366699e+00
## 5287 52.86 16.177513 5.136774194 6.644623e+00
## 5288 52.87 16.101214 5.294198534 6.934608e+00
## 5289 52.88 16.053623 5.464804628 7.236227e+00
## 5290 52.89 16.036518 5.648416207 7.548842e+00
## 5291 52.90 16.051749 5.844800923 7.871558e+00
## 5292 52.91 16.101217 6.053649313 8.203182e+00
## 5293 52.92 16.186839 6.274551580 8.542177e+00
## 5294 52.93 16.310506 6.506972271 8.886618e+00
## 5295 52.94 16.474028 6.750223158 9.234150e+00
## 5296 52.95 16.679063 7.003434869 9.581947e+00
## 5297 52.96 16.927035 7.265527860 9.926682e+00
## 5298 52.97 17.219037 7.535183740 1.026451e+01
## 5299 52.98 17.555716 7.810818299 1.059106e+01
## 5300 52.99 17.937148 8.090557956 1.090147e+01
## 5301 53.00 18.362709 8.372221690 1.119042e+01
## 5302 53.01 18.830936 8.653310881 1.145220e+01
## 5303 53.02 19.339398 8.931009666 1.168089e+01
## 5304 53.03 19.884583 9.202198615 1.187044e+01
## 5305 53.04 20.461808 9.463484386 1.201492e+01
## 5306 53.05 21.065178 9.711247580 1.210877e+01
## 5307 53.06 21.687594 9.941710214 1.214701e+01
## 5308 53.07 22.320830 10.151023082 1.212560e+01
## 5309 53.08 22.955686 10.335371730 1.204165e+01
## 5310 53.09 23.582214 10.491097938 1.189371e+01
## 5311 53.10 24.190027 10.614831655 1.168197e+01
## 5312 53.11 24.768659 10.703626508 1.140838e+01
## 5313 53.12 25.307968 10.755090563 1.107673e+01
## 5314 53.13 25.798555 10.767503232 1.069251e+01
## 5315 53.14 26.232147 10.739909341 1.026281e+01
## 5316 53.15 26.601946 10.672182503 9.795966e+00
## 5317 53.16 26.902880 10.565051982 9.301286e+00
## 5318 53.17 27.131755 10.420090111 8.788572e+00
## 5319 53.18 27.287300 10.239660673 8.267721e+00
## 5320 53.19 27.370092 10.026831721 7.748306e+00
## 5321 53.20 27.382392 9.785259323 7.239204e+00
## 5322 53.21 27.327891 9.519050750 6.748307e+00
## 5323 53.22 27.211424 9.232616631 6.282306e+00
## 5324 53.23 27.038650 8.930521625 5.846578e+00
## 5325 53.24 26.815735 8.617342280 5.445149e+00
## 5326 53.25 26.549074 8.297539190 5.080744e+00
## 5327 53.26 26.245037 7.975348517 4.754883e+00
## 5328 53.27 25.909773 7.654695893 4.468036e+00
## 5329 53.28 25.549066 7.339133682 4.219785e+00
## 5330 53.29 25.168236 7.031800963 4.009007e+00
## 5331 53.30 24.772082 6.735404321 3.834050e+00
## 5332 53.31 24.364868 6.452216354 3.692892e+00
## 5333 53.32 23.950330 6.184089198 3.583291e+00
## 5334 53.33 23.531706 5.932479486 3.502900e+00
## 5335 53.34 23.111780 5.698481227 3.449371e+00
## 5336 53.35 22.692932 5.482864026 3.420434e+00
## 5337 53.36 22.277188 5.286114135 3.413949e+00
## 5338 53.37 21.866276 5.108476199 3.427949e+00
## 5339 53.38 21.461674 4.949993713 3.460667e+00
## 5340 53.39 21.064654 4.810548032 3.510547e+00
## 5341 53.40 20.676325 4.689894106 3.576247e+00
## 5342 53.41 20.297670 4.587692789 3.656636e+00
## 5343 53.42 19.929576 4.503539534 3.750786e+00
## 5344 53.43 19.572860 4.436989227 3.857959e+00
## 5345 53.44 19.228297 4.387577328 3.977590e+00
## 5346 53.45 18.896639 4.354837416 4.109268e+00
## 5347 53.46 18.578630 4.338315380 4.252725e+00
## 5348 53.47 18.275027 4.337580488 4.407807e+00
## 5349 53.48 17.986612 4.352233596 4.574465e+00
## 5350 53.49 17.714205 4.381912749 4.752728e+00
## 5351 53.50 17.458675 4.426296387 4.942687e+00
## 5352 53.51 17.220953 4.485104366 5.144474e+00
## 5353 53.52 17.002041 4.558096945 5.358242e+00
## 5354 53.53 16.803020 4.645071852 5.584143e+00
## 5355 53.54 16.625060 4.745859519 5.822304e+00
## 5356 53.55 16.469424 4.860316507 6.072804e+00
## 5357 53.56 16.337477 4.988317122 6.335647e+00
## 5358 53.57 16.230682 5.129743185 6.610733e+00
## 5359 53.58 16.150606 5.284471934 6.897825e+00
## 5360 53.59 16.098913 5.452361866 7.196517e+00
## 5361 53.60 16.077355 5.633236529 7.506196e+00
## 5362 53.61 16.087756 5.826866171 7.825998e+00
## 5363 53.62 16.131993 6.032947188 8.154773e+00
## 5364 53.63 16.211960 6.251079409 8.491034e+00
## 5365 53.64 16.329533 6.480741329 8.832915e+00
## 5366 53.65 16.486509 6.721263543 9.178131e+00
## 5367 53.66 16.684546 6.971800833 9.523935e+00
## 5368 53.67 16.925078 7.231303560 9.867091e+00
## 5369 53.68 17.209222 7.498489316 1.020385e+01
## 5370 53.69 17.537668 7.771816105 1.052995e+01
## 5371 53.70 17.910559 8.049458691 1.084063e+01
## 5372 53.71 18.327357 8.329290093 1.113068e+01
## 5373 53.72 18.786715 8.608870573 1.139450e+01
## 5374 53.73 19.286343 8.885446643 1.162624e+01
## 5375 53.74 19.822896 9.155962801 1.181994e+01
## 5376 53.75 20.391886 9.417089267 1.196970e+01
## 5377 53.76 20.987629 9.665266693 1.206998e+01
## 5378 53.77 21.603252 9.896770100 1.211576e+01
## 5379 53.78 22.230752 10.107792573 1.210292e+01
## 5380 53.79 22.861147 10.294547614 1.202842e+01
## 5381 53.80 23.484682 10.453387084 1.189065e+01
## 5382 53.81 24.091123 10.580930214 1.168955e+01
## 5383 53.82 24.670110 10.674196948 1.142681e+01
## 5384 53.83 25.211544 10.730737917 1.110592e+01
## 5385 53.84 25.705999 10.748752009 1.073208e+01
## 5386 53.85 26.145112 10.727182717 1.031206e+01
## 5387 53.86 26.521924 10.665785177 9.853958e+00
## 5388 53.87 26.831150 10.565158065 9.366843e+00
## 5389 53.88 27.069340 10.426736940 8.860354e+00
## 5390 53.89 27.234940 10.252748952 8.344285e+00
## 5391 53.90 27.328238 10.046131824 7.828169e+00
## 5392 53.91 27.351211 9.810423262 7.320911e+00
## 5393 53.92 27.307293 9.549628673 6.830484e+00
## 5394 53.93 27.201096 9.268076551 6.363706e+00
## 5395 53.94 27.038093 8.970270984 5.926112e+00
## 5396 53.95 26.824314 8.660749941 5.521909e+00
## 5397 53.96 26.566058 8.343956618 5.154006e+00
## 5398 53.97 26.269641 8.024129092 4.824109e+00
## 5399 53.98 25.941193 7.705211446 4.532855e+00
## 5400 53.99 25.586506 7.390788147 4.279981e+00
## 5401 54.00 25.210931 7.084040928 4.064495e+00
## 5402 54.01 24.819314 6.787726491 3.884854e+00
## 5403 54.02 24.415974 6.504171759 3.739123e+00
## 5404 54.03 24.004708 6.235285477 3.625122e+00
## 5405 54.04 23.588818 5.982580518 3.540551e+00
## 5406 54.05 23.171147 5.747205232 3.483089e+00
## 5407 54.06 22.754133 5.529980346 3.450480e+00
## 5408 54.07 22.339854 5.331439033 3.440585e+00
## 5409 54.08 21.930085 5.151868003 3.451431e+00
## 5410 54.09 21.526344 4.991348026 3.481237e+00
## 5411 54.10 21.129940 4.849792516 3.528426e+00
## 5412 54.11 20.742012 4.726983432 3.591636e+00
## 5413 54.12 20.363568 4.622603866 3.669712e+00
## 5414 54.13 19.995516 4.536267004 3.761700e+00
## 5415 54.14 19.638691 4.467541368 3.866836e+00
## 5416 54.15 19.293881 4.415972349 3.984530e+00
## 5417 54.16 18.961847 4.381100175 4.114348e+00
## 5418 54.17 18.643341 4.362474512 4.255997e+00
## 5419 54.18 18.339125 4.359665942 4.409305e+00
## 5420 54.19 18.049983 4.372274570 4.574200e+00
## 5421 54.20 17.776733 4.399935865 4.750693e+00
## 5422 54.21 17.520243 4.442324295 4.938860e+00
## 5423 54.22 17.281440 4.499154673 5.138818e+00
## 5424 54.23 17.061317 4.570181387 5.350706e+00
## 5425 54.24 16.860948 4.655195727 5.574665e+00
## 5426 54.25 16.681491 4.754021384 5.810816e+00
## 5427 54.26 16.524196 4.866508117 6.059230e+00
## 5428 54.27 16.390412 4.992523620 6.319907e+00
## 5429 54.28 16.281586 5.131943587 6.592748e+00
## 5430 54.29 16.199265 5.284639820 6.877520e+00
## 5431 54.30 16.145092 5.450466386 7.173822e+00
## 5432 54.31 16.120797 5.629243741 7.481054e+00
## 5433 54.32 16.128180 5.820740733 7.798369e+00
## 5434 54.33 16.169096 6.024654347 8.124640e+00
## 5435 54.34 16.245416 6.240587446 8.458409e+00
## 5436 54.35 16.358992 6.468024463 8.797848e+00
## 5437 54.36 16.511605 6.706305281 9.140716e+00
## 5438 54.37 16.704899 6.954597756 9.484320e+00
## 5439 54.38 16.940301 7.211869559 9.825486e+00
## 5440 54.39 17.218930 7.476860223 1.016054e+01
## 5441 54.40 17.541490 7.748054633 1.048528e+01
## 5442 54.41 17.908150 8.023659534 1.079505e+01
## 5443 54.42 18.318417 8.301585008 1.108471e+01
## 5444 54.43 18.771007 8.579433174 1.134876e+01
## 5445 54.44 19.263715 8.854496645 1.158143e+01
## 5446 54.45 19.793301 9.123769393 1.177682e+01
## 5447 54.46 20.355405 9.383972601 1.192913e+01
## 5448 54.47 20.944488 9.631597734 1.203281e+01
## 5449 54.48 21.553839 9.862968356 1.208288e+01
## 5450 54.49 22.175628 10.074321206 1.207519e+01
## 5451 54.50 22.801043 10.261905583 1.200666e+01
## 5452 54.51 23.420497 10.422098443 1.187556e+01
## 5453 54.52 24.023903 10.551530700 1.168172e+01
## 5454 54.53 24.601019 10.647218495 1.142665e+01
## 5455 54.54 25.141829 10.706691656 1.111364e+01
## 5456 54.55 25.636942 10.728110721 1.074768e+01
## 5457 54.56 26.077983 10.710363793 1.033533e+01
## 5458 54.57 26.457933 10.653135331 9.884465e+00
## 5459 54.58 26.771397 10.556940815 9.403968e+00
## 5460 54.59 27.014779 10.423123713 8.903318e+00
## 5461 54.60 27.186350 10.253814406 8.392187e+00
## 5462 54.61 27.286202 10.051853578 7.880034e+00
## 5463 54.62 27.316115 9.820686538 7.375731e+00
## 5464 54.63 27.279334 9.564234342 6.887266e+00
## 5465 54.64 27.180291 9.286752113 6.421506e+00
## 5466 54.65 27.024307 8.992683755 5.984067e+00
## 5467 54.66 26.817286 8.686521356 5.579258e+00
## 5468 54.67 26.565429 8.372677033 5.210103e+00
## 5469 54.68 26.274982 8.055372321 4.878431e+00
## 5470 54.69 25.952034 7.738548085 4.585000e+00
## 5471 54.70 25.602358 7.425796819 4.329656e+00
## 5472 54.71 25.231303 7.120317659 4.111512e+00
## 5473 54.72 24.843729 6.824891937 3.929111e+00
## 5474 54.73 24.443980 6.541876978 3.780592e+00
## 5475 54.74 24.035885 6.273215033 3.663836e+00
## 5476 54.75 23.622780 6.020454321 3.576586e+00
## 5477 54.76 23.207546 5.784778875 3.516557e+00
## 5478 54.77 22.792656 5.567044362 3.481513e+00
## 5479 54.78 22.380223 5.367817216 3.469329e+00
## 5480 54.79 21.972054 5.187415105 3.478037e+00
## 5481 54.80 21.569698 5.025946954 3.505854e+00
## 5482 54.81 21.174489 4.883351323 3.551199e+00
## 5483 54.82 20.787590 4.759432160 3.612699e+00
## 5484 54.83 20.410029 4.653891400 3.689187e+00
## 5485 54.84 20.042730 4.566358029 3.779694e+00
## 5486 54.85 19.686545 4.496413443 3.883442e+00
## 5487 54.86 19.342273 4.443613194 3.999824e+00
## 5488 54.87 19.010685 4.407505173 4.128391e+00
## 5489 54.88 18.692542 4.387644439 4.268833e+00
## 5490 54.89 18.388610 4.383604922 4.420961e+00
## 5491 54.90 18.099678 4.394988239 4.584690e+00
## 5492 54.91 17.826568 4.421429863 4.760015e+00
## 5493 54.92 17.570148 4.462602865 4.946998e+00
## 5494 54.93 17.331342 4.518219430 5.145741e+00
## 5495 54.94 17.111144 4.588030305 5.356372e+00
## 5496 54.95 16.910621 4.671822301 5.579019e+00
## 5497 54.96 16.730927 4.769413929 5.813791e+00
## 5498 54.97 16.573303 4.880649272 6.060750e+00
## 5499 54.98 16.439087 5.005389976 6.319888e+00
## 5500 54.99 16.329716 5.143505430 6.591095e+00
## 5501 55.00 16.246723 5.294861083 6.874134e+00
## 5502 55.01 16.191733 5.459304784 7.168601e+00
## 5503 55.02 16.166458 5.636651098 7.473892e+00
## 5504 55.03 16.172679 5.826663514 7.789163e+00
## 5505 55.04 16.212227 6.029034541 8.113293e+00
## 5506 55.05 16.286949 6.243363690 8.444831e+00
## 5507 55.06 16.398673 6.469133482 8.781967e+00
## 5508 55.07 16.549154 6.705683721 9.122477e+00
## 5509 55.08 16.740009 6.952184448 9.463698e+00
## 5510 55.09 16.972644 7.207608228 9.802487e+00
## 5511 55.10 17.248156 7.470702650 1.013521e+01
## 5512 55.11 17.567234 7.739964279 1.045773e+01
## 5513 55.12 17.930039 8.013615572 1.076543e+01
## 5514 55.13 18.336080 8.289586623 1.105324e+01
## 5515 55.14 18.784084 8.565504288 1.131574e+01
## 5516 55.15 19.271874 8.838690648 1.154723e+01
## 5517 55.16 19.796254 9.106173615 1.174189e+01
## 5518 55.17 20.352923 9.364712318 1.189398e+01
## 5519 55.18 20.936425 9.610839404 1.199804e+01
## 5520 55.19 21.540145 9.840921662 1.204915e+01
## 5521 55.20 22.156368 10.051239537 1.204317e+01
## 5522 55.21 22.776409 10.238084618 1.197706e+01
## 5523 55.22 23.390815 10.397872577 1.184908e+01
## 5524 55.23 23.989635 10.527267176 1.165901e+01
## 5525 55.24 24.562755 10.623309275 1.140830e+01
## 5526 55.25 25.100273 10.683543269 1.110015e+01
## 5527 55.26 25.592893 10.706132517 1.073943e+01
## 5528 55.27 26.032302 10.689955218 1.033255e+01
## 5529 55.28 26.411512 10.634672993 9.887240e+00
## 5530 55.29 26.725125 10.540766146 9.412232e+00
## 5531 55.30 26.969508 10.409532079 8.916856e+00
## 5532 55.31 27.142864 10.243046318 8.410656e+00
## 5533 55.32 27.245194 10.044088680 7.902980e+00
## 5534 55.33 27.278167 9.816039895 7.402620e+00
## 5535 55.34 27.244906 9.562756272 6.917511e+00
## 5536 55.35 27.149721 9.288430701 6.454496e+00
## 5537 55.36 26.997816 8.997450249 6.019196e+00
## 5538 55.37 26.794988 8.694257068 5.615943e+00
## 5539 55.38 26.547341 8.383221283 5.247806e+00
## 5540 55.39 26.261046 8.068530840 4.916667e+00
## 5541 55.40 25.942126 7.754101585 4.623348e+00
## 5542 55.41 25.596310 7.443510347 4.367766e+00
## 5543 55.42 25.228916 7.139948658 4.149098e+00
## 5544 55.43 24.844785 6.846197097 3.965954e+00
## 5545 55.44 24.448255 6.564617936 3.816530e+00
## 5546 55.45 24.043153 6.297163264 3.698757e+00
## 5547 55.46 23.632823 6.045394802 3.610427e+00
## 5548 55.47 23.220158 5.810512672 3.549288e+00
## 5549 55.48 22.807644 5.593390234 3.513135e+00
## 5550 55.49 22.397412 5.394612431 3.499866e+00
## 5551 55.50 21.991285 5.214515553 3.507530e+00
## 5552 55.51 21.590828 5.053226726 3.534356e+00
## 5553 55.52 21.197392 4.910701842 3.578770e+00
## 5554 55.53 20.812154 4.786761009 3.639400e+00
## 5555 55.54 20.436157 4.681120909 3.715080e+00
## 5556 55.55 20.070338 4.593423714 3.804840e+00
## 5557 55.56 19.715561 4.523262429 3.907895e+00
## 5558 55.57 19.372634 4.470202571 4.023632e+00
## 5559 55.58 19.042339 4.433800353 4.151595e+00
## 5560 55.59 18.725446 4.413617553 4.291465e+00
## 5561 55.60 18.422727 4.409233286 4.443043e+00
## 5562 55.61 18.134978 4.420252885 4.606232e+00
## 5563 55.62 17.863025 4.446314146 4.781018e+00
## 5564 55.63 17.607741 4.487091143 4.967448e+00
## 5565 55.64 17.370053 4.542295822 5.165616e+00
## 5566 55.65 17.150956 4.611677515 5.375633e+00
## 5567 55.66 16.951519 4.695020530 5.597617e+00
## 5568 55.67 16.772892 4.792139777 5.831661e+00
## 5569 55.68 16.616316 4.902874711 6.077814e+00
## 5570 55.69 16.483124 5.027081434 6.336051e+00
## 5571 55.70 16.374745 5.164622905 6.606249e+00
## 5572 55.71 16.292703 5.315357302 6.888155e+00
## 5573 55.72 16.238613 5.479124440 7.181349e+00
## 5574 55.73 16.214172 5.655730175 7.485214e+00
## 5575 55.74 16.221141 5.844928724 7.798892e+00
## 5576 55.75 16.261331 6.046402944 8.121245e+00
## 5577 55.76 16.336563 6.259742480 8.450817e+00
## 5578 55.77 16.448636 6.484420013 8.785785e+00
## 5579 55.78 16.599272 6.719765842 9.123924e+00
## 5580 55.79 16.790050 6.964941222 9.462570e+00
## 5581 55.80 17.022336 7.218911096 9.798587e+00
## 5582 55.81 17.297185 7.480417140 1.012835e+01
## 5583 55.82 17.615240 7.747952319 1.044776e+01
## 5584 55.83 17.976619 8.019738507 1.075221e+01
## 5585 55.84 18.380787 8.293709007 1.103670e+01
## 5586 55.85 18.826435 8.567498128 1.129584e+01
## 5587 55.86 19.311356 8.838440695 1.152402e+01
## 5588 55.87 19.832335 9.103583263 1.171549e+01
## 5589 55.88 20.385068 9.359709859 1.186460e+01
## 5590 55.89 20.964110 9.603384462 1.196598e+01
## 5591 55.90 21.562881 9.831011605 1.201481e+01
## 5592 55.91 22.173724 10.038915363 1.200707e+01
## 5593 55.92 22.788033 10.223435872 1.193978e+01
## 5594 55.93 23.396458 10.381040823 1.181130e+01
## 5595 55.94 23.989170 10.508447571 1.162146e+01
## 5596 55.95 24.556191 10.602749857 1.137176e+01
## 5597 55.96 25.087766 10.661541705 1.106537e+01
## 5598 55.97 25.574743 10.683030260 1.070715e+01
## 5599 55.98 26.008949 10.666129203 1.030346e+01
## 5600 55.99 26.383517 10.610525238 9.861939e+00
## 5601 56.00 26.693150 10.516711839 9.391200e+00
## 5602 56.01 26.934286 10.385986821 8.900449e+00
## 5603 56.02 27.105168 10.220413359 8.399092e+00
## 5604 56.03 27.205807 10.022746804 7.896340e+00
## 5605 56.04 27.237853 9.796333395 7.400857e+00
## 5606 56.05 27.204384 9.544986409 6.920457e+00
## 5607 56.06 27.109645 9.272849676 6.461890e+00
## 5608 56.07 26.958763 8.984257239 6.030699e+00
## 5609 56.08 26.757444 8.683597124 5.631163e+00
## 5610 56.09 26.511706 8.375186714 5.266323e+00
## 5611 56.10 26.227632 8.063164729 4.938052e+00
## 5612 56.11 25.911169 7.751402781 4.647180e+00
## 5613 56.12 25.567971 7.443438375 4.393642e+00
## 5614 56.13 25.203298 7.142429822 4.176647e+00
## 5615 56.14 24.821939 6.851131052 3.994841e+00
## 5616 56.15 24.428193 6.571884198 3.846463e+00
## 5617 56.16 24.025857 6.306627023 3.729487e+00
## 5618 56.17 23.618254 6.056912273 3.641744e+00
## 5619 56.18 23.208261 5.823935811 3.581023e+00
## 5620 56.19 22.798358 5.608570770 3.545156e+00
## 5621 56.20 22.390669 5.411405146 3.532071e+00
## 5622 56.21 21.987020 5.232780876 3.539848e+00
## 5623 56.22 21.588978 5.072832662 3.566737e+00
## 5624 56.23 21.197898 4.931525338 3.611185e+00
## 5625 56.24 20.814966 4.808688789 3.671838e+00
## 5626 56.25 20.441232 4.704049890 3.747539e+00
## 5627 56.26 20.077641 4.617261051 3.837329e+00
## 5628 56.27 19.725063 4.547925204 3.940429e+00
## 5629 56.28 19.384319 4.495617267 4.056228e+00
## 5630 56.29 19.056198 4.459902142 4.184270e+00
## 5631 56.30 18.741477 4.440349434 4.324236e+00
## 5632 56.31 18.440938 4.436545081 4.475922e+00
## 5633 56.32 18.155385 4.448100151 4.639227e+00
## 5634 56.33 17.885651 4.474656999 4.814129e+00
## 5635 56.34 17.632616 4.515893030 5.000665e+00
## 5636 56.35 17.397216 4.571522228 5.198918e+00
## 5637 56.36 17.180449 4.641294622 5.408987e+00
## 5638 56.37 16.983390 4.724993804 5.630974e+00
## 5639 56.38 16.807194 4.822432573 5.864956e+00
## 5640 56.39 16.653103 4.933446809 6.110962e+00
## 5641 56.40 16.522451 5.057887469 6.368948e+00
## 5642 56.41 16.416665 5.195610770 6.638769e+00
## 5643 56.42 16.337266 5.346466521 6.920143e+00
## 5644 56.43 16.285860 5.510284493 7.212628e+00
## 5645 56.44 16.264132 5.686858804 7.515574e+00
## 5646 56.45 16.273830 5.875930253 7.828095e+00
## 5647 56.46 16.316741 6.077166591 8.149022e+00
## 5648 56.47 16.394659 6.290140793 8.476866e+00
## 5649 56.48 16.509350 6.514307469 8.809773e+00
## 5650 56.49 16.662491 6.748977676 9.145490e+00
## 5651 56.50 16.855616 6.993292610 9.481325e+00
## 5652 56.51 17.090027 7.246196817 9.814122e+00
## 5653 56.52 17.366715 7.506411855 1.014025e+01
## 5654 56.53 17.686248 7.772411642 1.045558e+01
## 5655 56.54 18.048660 8.042401012 1.075555e+01
## 5656 56.55 18.453333 8.314299314 1.103516e+01
## 5657 56.56 18.898867 8.585731570 1.128907e+01
## 5658 56.57 19.382967 8.854029034 1.151172e+01
## 5659 56.58 19.902337 9.116241864 1.169746e+01
## 5660 56.59 20.452603 9.369166378 1.184074e+01
## 5661 56.60 21.028269 9.609388817 1.193632e+01
## 5662 56.61 21.622725 9.833346826 1.197951e+01
## 5663 56.62 22.228315 10.037408965 1.196646e+01
## 5664 56.63 22.836470 10.217971169 1.189437e+01
## 5665 56.64 23.437910 10.371567445 1.176173e+01
## 5666 56.65 24.022919 10.494990419 1.156856e+01
## 5667 56.66 24.581666 10.585415692 1.131647e+01
## 5668 56.67 25.104573 10.640522653 1.100875e+01
## 5669 56.68 25.582690 10.658603671 1.065031e+01
## 5670 56.69 26.008057 10.638653559 1.024754e+01
## 5671 56.70 26.374022 10.580432103 9.808045e+00
## 5672 56.71 26.675489 10.484494165 9.340371e+00
## 5673 56.72 26.909078 10.352184305 8.853611e+00
## 5674 56.73 27.073181 10.185595696 8.357025e+00
## 5675 56.74 27.167919 9.987496026 7.859659e+00
## 5676 56.75 27.195011 9.761225626 7.369995e+00
## 5677 56.76 27.157565 9.510575396 6.895670e+00
## 5678 56.77 27.059817 9.239652471 6.443265e+00
## 5679 56.78 26.906852 8.952742505 6.018170e+00
## 5680 56.79 26.704314 8.654176499 5.624538e+00
## 5681 56.80 26.458139 8.348209206 5.265305e+00
## 5682 56.81 26.174315 8.038913896 4.942267e+00
## 5683 56.82 25.858694 7.730096898 4.656203e+00
## 5684 56.83 25.516837 7.425233190 4.407025e+00
## 5685 56.84 25.153909 7.127423038 4.193933e+00
## 5686 56.85 24.774623 6.839368098 4.015586e+00
## 5687 56.86 24.383204 6.563364844 3.870245e+00
## 5688 56.87 23.983389 6.301312484 3.755917e+00
## 5689 56.88 23.578449 6.054732296 3.670471e+00
## 5690 56.89 23.171223 5.824795497 3.611740e+00
## 5691 56.90 22.764159 5.612356891 3.577594e+00
## 5692 56.91 22.359358 5.417991880 3.566006e+00
## 5693 56.92 21.958629 5.242034801 3.575093e+00
## 5694 56.93 21.563528 5.084617101 3.603142e+00
## 5695 56.94 21.175406 4.945703933 3.648633e+00
## 5696 56.95 20.795444 4.825128388 3.710238e+00
## 5697 56.96 20.424694 4.722622787 3.786829e+00
## 5698 56.97 20.064105 4.637846511 3.877463e+00
## 5699 56.98 19.714552 4.570410589 3.981379e+00
## 5700 56.99 19.376862 4.519898666 4.097979e+00
## 5701 57.00 19.051831 4.485884589 4.226818e+00
## 5702 57.01 18.740247 4.467946746 4.367579e+00
## 5703 57.02 18.442900 4.465679413 4.520064e+00
## 5704 57.03 18.160604 4.478701273 4.684168e+00
## 5705 57.04 17.894203 4.506661350 4.859867e+00
## 5706 57.05 17.644587 4.549242561 5.047191e+00
## 5707 57.06 17.412702 4.606163061 5.246212e+00
## 5708 57.07 17.199556 4.677175540 5.457018e+00
## 5709 57.08 17.006235 4.762064576 5.679691e+00
## 5710 57.09 16.833900 4.860642128 5.914290e+00
## 5711 57.10 16.683803 4.972741192 6.160820e+00
## 5712 57.11 16.557282 5.098207715 6.419210e+00
## 5713 57.12 16.455769 5.236890596 6.689282e+00
## 5714 57.13 16.380783 5.388629831 6.970722e+00
## 5715 57.14 16.333927 5.553242753 7.263044e+00
## 5716 57.15 16.316878 5.730508272 7.565559e+00
## 5717 57.16 16.331368 5.920149098 7.877331e+00
## 5718 57.17 16.379162 6.121811953 8.197141e+00
## 5719 57.18 16.462024 6.335045828 8.523446e+00
## 5720 57.19 16.581677 6.559278474 8.854339e+00
## 5721 57.20 16.739749 6.793791416 9.187510e+00
## 5722 57.21 16.937705 7.037693984 9.520216e+00
## 5723 57.22 17.176772 7.289897043 9.849252e+00
## 5724 57.23 17.457844 7.549087413 1.017094e+01
## 5725 57.24 17.781383 7.813704208 1.048114e+01
## 5726 57.25 18.147302 8.081918690 1.077525e+01
## 5727 57.26 18.554847 8.351619516 1.104830e+01
## 5728 57.27 19.002477 8.620405367 1.129496e+01
## 5729 57.28 19.487750 8.885588053 1.150975e+01
## 5730 57.29 20.007226 9.144207413 1.168709e+01
## 5731 57.30 20.556396 9.393060840 1.182157e+01
## 5732 57.31 21.129645 9.628749235 1.190811e+01
## 5733 57.32 21.720277 9.847740564 1.194222e+01
## 5734 57.33 22.320583 10.046450840 1.192026e+01
## 5735 57.34 22.921989 10.221341296 1.183968e+01
## 5736 57.35 23.515265 10.369028858 1.169924e+01
## 5737 57.36 24.090800 10.486405322 1.149919e+01
## 5738 57.37 24.638928 10.570759123 1.124138e+01
## 5739 57.38 25.150288 10.619892383 1.092930e+01
## 5740 57.39 25.616190 10.632225296 1.056801e+01
## 5741 57.40 26.028966 10.606880067 1.016399e+01
## 5742 57.41 26.382274 10.543737575 9.724887e+00
## 5743 57.42 26.671324 10.443461758 9.259199e+00
## 5744 57.43 26.893024 10.307489115 8.775918e+00
## 5745 57.44 27.046019 10.137983563 8.284150e+00
## 5746 57.45 27.130640 9.937759417 7.792738e+00
## 5747 57.46 27.148759 9.710179135 7.309936e+00
## 5748 57.47 27.103586 9.459030909 6.843137e+00
## 5749 57.48 26.999402 9.188396040 6.398679e+00
## 5750 57.49 26.841287 8.902514180 5.981724e+00
## 5751 57.50 26.634840 8.605653865 5.596218e+00
## 5752 57.51 26.385917 8.301995339 5.244924e+00
## 5753 57.52 26.100407 7.995529739 4.929500e+00
## 5754 57.53 25.784045 7.689977660 4.650621e+00
## 5755 57.54 25.442275 7.388728055 4.408125e+00
## 5756 57.55 25.080143 7.094798065 4.201176e+00
## 5757 57.56 24.702251 6.810811582 4.028413e+00
## 5758 57.57 24.312719 6.538994409 3.888108e+00
## 5759 57.58 23.915197 6.281183278 3.778289e+00
## 5760 57.59 23.512876 6.038845798 3.696863e+00
## 5761 57.60 23.108530 5.813108437 3.641703e+00
## 5762 57.61 22.704553 5.604789920 3.610731e+00
## 5763 57.62 22.303005 5.414437728 3.601970e+00
## 5764 57.63 21.905660 5.242365754 3.613585e+00
## 5765 57.64 21.514052 5.088691593 3.643913e+00
## 5766 57.65 21.129514 4.953372280 3.691476e+00
## 5767 57.66 20.753217 4.836237637 3.754991e+00
## 5768 57.67 20.386207 4.737020679 3.833363e+00
## 5769 57.68 20.029430 4.655384739 3.925683e+00
## 5770 57.69 19.683765 4.590947185 4.031215e+00
## 5771 57.70 19.350042 4.543299711 4.149385e+00
## 5772 57.71 19.029066 4.512025307 4.279763e+00
## 5773 57.72 18.721632 4.496712072 4.422048e+00
## 5774 57.73 18.428543 4.496964050 4.576047e+00
## 5775 57.74 18.150623 4.512409321 4.741661e+00
## 5776 57.75 17.888729 4.542705548 4.918863e+00
## 5777 57.76 17.643766 4.587543181 5.107679e+00
## 5778 57.77 17.416692 4.646646484 5.308172e+00
## 5779 57.78 17.208533 4.719772526 5.520414e+00
## 5780 57.79 17.020384 4.806708241 5.744470e+00
## 5781 57.80 16.853425 4.907265690 5.980373e+00
## 5782 57.81 16.708916 5.021275433 6.228100e+00
## 5783 57.82 16.588207 5.148578105 6.487544e+00
## 5784 57.83 16.492738 5.289014186 6.758487e+00
## 5785 57.84 16.424031 5.442411884 7.040567e+00
## 5786 57.85 16.383689 5.608573095 7.333246e+00
## 5787 57.86 16.373381 5.787257394 7.635774e+00
## 5788 57.87 16.394823 5.978164041 7.947150e+00
## 5789 57.88 16.449758 6.180912021 8.266085e+00
## 5790 57.89 16.539912 6.395018216 8.590959e+00
## 5791 57.90 16.666959 6.619873911 8.919786e+00
## 5792 57.91 16.832460 6.854719988 9.250175e+00
## 5793 57.92 17.037798 7.098621316 9.579302e+00
## 5794 57.93 17.284096 7.350441109 9.903888e+00
## 5795 57.94 17.572126 7.608816253 1.022019e+01
## 5796 57.95 17.902204 7.872134922 1.052400e+01
## 5797 57.96 18.274079 8.138517984 1.081071e+01
## 5798 57.97 18.686812 8.405806536 1.107531e+01
## 5799 57.98 19.138663 8.671557171 1.131252e+01
## 5800 57.99 19.626983 8.933047532 1.151691e+01
## 5801 58.00 20.148123 9.187294518 1.168301e+01
## 5802 58.01 20.697372 9.431087265 1.180556e+01
## 5803 58.02 21.268939 9.661036413 1.187969e+01
## 5804 58.03 21.855982 9.873640537 1.190117e+01
## 5805 58.04 22.450696 10.065369489 1.186664e+01
## 5806 58.05 23.044469 10.232762975 1.177388e+01
## 5807 58.06 23.628107 10.372541157 1.162200e+01
## 5808 58.07 24.192111 10.481722447 1.141160e+01
## 5809 58.08 24.727006 10.557742240 1.114486e+01
## 5810 58.09 25.223695 10.598565284 1.082556e+01
## 5811 58.10 25.673819 10.602783917 1.045899e+01
## 5812 58.11 26.070090 10.569694759 1.005179e+01
## 5813 58.12 26.406571 10.499347548 9.611679e+00
## 5814 58.13 26.678882 10.392561720 9.147142e+00
## 5815 58.14 26.884327 10.250908791 8.667070e+00
## 5816 58.15 27.021905 10.076661336 8.180388e+00
## 5817 58.16 27.092248 9.872712027 7.695697e+00
## 5818 58.17 27.097462 9.642468571 7.220966e+00
## 5819 58.18 27.040917 9.389731312 6.763280e+00
## 5820 58.19 26.926986 9.118563138 6.328659e+00
## 5821 58.20 26.760772 8.833157488 5.921962e+00
## 5822 58.21 26.547844 8.537713500 5.546860e+00
## 5823 58.22 26.293978 8.236323818 5.205873e+00
## 5824 58.23 26.004951 7.932878798 4.900458e+00
## 5825 58.24 25.686365 7.630991326 4.631136e+00
## 5826 58.25 25.343518 7.333940513 4.397634e+00
## 5827 58.26 24.981313 7.044635448 4.199044e+00
## 5828 58.27 24.604204 6.765596963 4.033969e+00
## 5829 58.28 24.216185 6.498955648 3.900673e+00
## 5830 58.29 23.820781 6.246462606 3.797202e+00
## 5831 58.30 23.421084 6.009510442 3.721494e+00
## 5832 58.31 23.019775 5.789161690 3.671474e+00
## 5833 58.32 22.619174 5.586182142 3.645115e+00
## 5834 58.33 22.221283 5.401076879 3.640502e+00
## 5835 58.34 21.827826 5.234127190 3.655860e+00
## 5836 58.35 21.440301 5.085426936 3.689586e+00
## 5837 58.36 21.060013 4.954917243 3.740261e+00
## 5838 58.37 20.688116 4.842418764 3.806651e+00
## 5839 58.38 20.325642 4.747661016 3.887712e+00
## 5840 58.39 19.973534 4.670308490 3.982576e+00
## 5841 58.40 19.632668 4.609983370 4.090545e+00
## 5842 58.41 19.303878 4.566284915 4.211074e+00
## 5843 58.42 18.987975 4.538805601 4.343760e+00
## 5844 58.43 18.685765 4.527144187 4.488320e+00
## 5845 58.44 18.398061 4.530915897 4.644573e+00
## 5846 58.45 18.125703 4.549759903 4.812430e+00
## 5847 58.46 17.869563 4.583344332 4.991863e+00
## 5848 58.47 17.630563 4.631368979 5.182897e+00
## 5849 58.48 17.409681 4.693565881 5.385582e+00
## 5850 58.49 17.207958 4.769697926 5.599974e+00
## 5851 58.50 17.026512 4.859555412 5.826117e+00
## 5852 58.51 16.866537 4.962950942 6.064014e+00
## 5853 58.52 16.729312 5.079712459 6.313605e+00
## 5854 58.53 16.616202 5.209674411 6.574740e+00
## 5855 58.54 16.528656 5.352667113 6.847148e+00
## 5856 58.55 16.468206 5.508504245 7.130407e+00
## 5857 58.56 16.436455 5.676968427 7.423911e+00
## 5858 58.57 16.435064 5.857794852 7.726833e+00
## 5859 58.58 16.465733 6.050652971 8.038087e+00
## 5860 58.59 16.530173 6.255126276 8.356289e+00
## 5861 58.60 16.630069 6.470690316 8.679720e+00
## 5862 58.61 16.767031 6.696689198 9.006288e+00
## 5863 58.62 16.942538 6.932310960 9.333496e+00
## 5864 58.63 17.157867 7.176562405 9.658411e+00
## 5865 58.64 17.414010 7.428244226 9.977653e+00
## 5866 58.65 17.711580 7.685927499 1.028739e+01
## 5867 58.66 18.050706 7.947932914 1.058334e+01
## 5868 58.67 18.430923 8.212314439 1.086083e+01
## 5869 58.68 18.851053 8.476849345 1.111486e+01
## 5870 58.69 19.309099 8.739036764 1.134016e+01
## 5871 58.70 19.802140 8.996107046 1.153136e+01
## 5872 58.71 20.326252 9.245044114 1.168315e+01
## 5873 58.72 20.876463 9.482622741 1.179044e+01
## 5874 58.73 21.446745 9.705462086 1.184864e+01
## 5875 58.74 22.030062 9.910096009 1.185381e+01
## 5876 58.75 22.618475 10.093059468 1.180299e+01
## 5877 58.76 23.203320 10.250988944 1.169438e+01
## 5878 58.77 23.775434 10.380733272 1.152751e+01
## 5879 58.78 24.325452 10.479469735 1.130344e+01
## 5880 58.79 24.844133 10.544818986 1.102477e+01
## 5881 58.80 25.322707 10.574951510 1.069566e+01
## 5882 58.81 25.753229 10.568678124 1.032170e+01
## 5883 58.82 26.128879 10.525517520 9.909730e+00
## 5884 58.83 26.444231 10.445735241 9.467581e+00
## 5885 58.84 26.695423 10.330350352 9.003729e+00
## 5886 58.85 26.880251 10.181108763 8.526946e+00
## 5887 58.86 26.998168 10.000425354 8.045944e+00
## 5888 58.87 27.050187 9.791297336 7.569033e+00
## 5889 58.88 27.038717 9.557196080 7.103833e+00
## 5890 58.89 26.967339 9.301944742 6.657047e+00
## 5891 58.90 26.840553 9.029589572 6.234305e+00
## 5892 58.91 26.663505 8.744272471 5.840091e+00
## 5893 58.92 26.441733 8.450111605 5.477731e+00
## 5894 58.93 26.180932 8.151095489 5.149441e+00
## 5895 58.94 25.886749 7.850994231 4.856427e+00
## 5896 58.95 25.564630 7.553289994 4.599010e+00
## 5897 58.96 25.219702 7.261127168 4.376771e+00
## 5898 58.97 24.856691 6.977281454 4.188705e+00
## 5899 58.98 24.479881 6.704146114 4.033361e+00
## 5900 58.99 24.093104 6.443733004 3.908987e+00
## 5901 59.00 23.699741 6.197685688 3.813641e+00
## 5902 59.01 23.302753 5.967301861 3.745298e+00
## 5903 59.02 22.904711 5.753562429 3.701933e+00
## 5904 59.03 22.507843 5.557164873 3.681586e+00
## 5905 59.04 22.114072 5.378558827 3.682408e+00
## 5906 59.05 21.725063 5.217982176 3.702698e+00
## 5907 59.06 21.342264 5.075496357 3.740924e+00
## 5908 59.07 20.966947 4.951019849 3.795736e+00
## 5909 59.08 20.600238 4.844359221 3.865964e+00
## 5910 59.09 20.243153 4.755237034 3.950623e+00
## 5911 59.10 19.896626 4.683316737 4.048898e+00
## 5912 59.11 19.561529 4.628224238 4.160135e+00
## 5913 59.12 19.238699 4.589566199 4.283830e+00
## 5914 59.13 18.928955 4.566945127 4.419609e+00
## 5915 59.14 18.633110 4.559971520 4.567214e+00
## 5916 59.15 18.351996 4.568273198 4.726483e+00
## 5917 59.16 18.086465 4.591502032 4.897335e+00
## 5918 59.17 17.837412 4.629338264 5.079747e+00
## 5919 59.18 17.605777 4.681492581 5.273739e+00
## 5920 59.19 17.392560 4.747706106 5.479347e+00
## 5921 59.20 17.198827 4.827748418 5.696611e+00
## 5922 59.21 17.025718 4.921413683 5.925546e+00
## 5923 59.22 16.874450 5.028514963 6.166118e+00
## 5924 59.23 16.746323 5.148876691 6.418222e+00
## 5925 59.24 16.642720 5.282325412 6.681653e+00
## 5926 59.25 16.565105 5.428678601 6.956077e+00
## 5927 59.26 16.515018 5.587731644 7.240995e+00
## 5928 59.27 16.494063 5.759242927 7.535716e+00
## 5929 59.28 16.503892 5.942917005 7.839316e+00
## 5930 59.29 16.546184 6.138385872 8.150600e+00
## 5931 59.30 16.622612 6.345188423 8.468069e+00
## 5932 59.31 16.734805 6.562748283 8.789878e+00
## 5933 59.32 16.884293 6.790350298 9.113802e+00
## 5934 59.33 17.072452 7.027116165 9.437209e+00
## 5935 59.34 17.300423 7.271979848 9.757034e+00
## 5936 59.35 17.569034 7.523663702 1.006977e+01
## 5937 59.36 17.878698 7.780656467 1.037147e+01
## 5938 59.37 18.229307 8.041194589 1.065776e+01
## 5939 59.38 18.620130 8.303248611 1.092392e+01
## 5940 59.39 19.049689 8.564516621 1.116491e+01
## 5941 59.40 19.515664 8.822426686 1.137551e+01
## 5942 59.41 20.014797 9.074151374 1.155046e+01
## 5943 59.42 20.542828 9.316635051 1.168459e+01
## 5944 59.43 21.094463 9.546636412 1.177308e+01
## 5945 59.44 21.663387 9.760787177 1.181164e+01
## 5946 59.45 22.242331 9.955667133 1.179676e+01
## 5947 59.46 22.823204 10.127894085 1.172592e+01
## 5948 59.47 23.397281 10.274226261 1.159784e+01
## 5949 59.48 23.955454 10.391673104 1.141260e+01
## 5950 59.49 24.488531 10.477608929 1.117180e+01
## 5951 59.50 24.987566 10.529882841 1.087853e+01
## 5952 59.51 25.444199 10.546917702 1.053742e+01
## 5953 59.52 25.850989 10.527790975 1.015440e+01
## 5954 59.53 26.201692 10.472291062 9.736563e+00
## 5955 59.54 26.491498 10.380944334 9.291843e+00
## 5956 59.55 26.717165 10.255010134 8.828697e+00
## 5957 59.56 26.877084 10.096443571 8.355747e+00
## 5958 59.57 26.971239 9.907828399 7.881440e+00
## 5959 59.58 27.001096 9.692284847 7.413732e+00
## 5960 59.59 26.969416 9.453358561 6.959822e+00
## 5961 59.60 26.880030 9.194898178 6.525957e+00
## 5962 59.61 26.737582 8.920929156 6.117309e+00
## 5963 59.62 26.547267 8.635531288 5.737914e+00
## 5964 59.63 26.314589 8.342725875 5.390690e+00
## 5965 59.64 26.045142 8.046377402 5.077499e+00
## 5966 59.65 25.744426 7.750112656 4.799249e+00
## 5967 59.66 25.417704 7.457258956 4.556028e+00
## 5968 59.67 25.069903 7.170801322 4.347245e+00
## 5969 59.68 24.705543 6.893357658 4.171778e+00
## 5970 59.69 24.328713 6.627170047 4.028114e+00
## 5971 59.70 23.943053 6.374109583 3.914479e+00
## 5972 59.71 23.551777 6.135692169 3.828945e+00
## 5973 59.72 23.157695 5.913102585 3.769527e+00
## 5974 59.73 22.763249 5.707224490 3.734259e+00
## 5975 59.74 22.370556 5.518673569 3.721253e+00
## 5976 59.75 21.981449 5.347832786 3.728741e+00
## 5977 59.76 21.597520 5.194887577 3.755107e+00
## 5978 59.77 21.220162 5.059859847 3.798900e+00
## 5979 59.78 20.850601 4.942640071 3.858849e+00
## 5980 59.79 20.489935 4.843016804 3.933862e+00
## 5981 59.80 20.139158 4.760703213 4.023020e+00
## 5982 59.81 19.799191 4.695360442 4.125569e+00
## 5983 59.82 19.470905 4.646617762 4.240912e+00
## 5984 59.83 19.155137 4.614089546 4.368586e+00
## 5985 59.84 18.852713 4.597389193 4.508257e+00
## 5986 59.85 18.564461 4.596140162 4.659694e+00
## 5987 59.86 18.291226 4.609984303 4.822757e+00
## 5988 59.87 18.033883 4.638587675 4.997373e+00
## 5989 59.88 17.793347 4.681644034 5.183525e+00
## 5990 59.89 17.570585 4.738876138 5.381224e+00
## 5991 59.90 17.366621 4.810035067 5.590494e+00
## 5992 59.91 17.182551 4.894897449 5.811349e+00
## 5993 59.92 17.019539 4.993261016 6.043769e+00
## 5994 59.93 16.878832 5.104938299 6.287676e+00
## 5995 59.94 16.761754 5.229748455 6.542909e+00
## 5996 59.95 16.669708 5.367507318 6.809194e+00
## 5997 59.96 16.604176 5.518015630 7.086117e+00
## 5998 59.97 16.566705 5.681045393 7.373088e+00
## 5999 59.98 16.558897 5.856324347 7.669308e+00
## 6000 59.99 16.582392 6.043518617 7.973733e+00
## 6001 60.00 16.638839 6.242213479 8.285040e+00
## 6002 60.01 16.729860 6.451892448 8.601583e+00
## 6003 60.02 16.857010 6.671914928 8.921365e+00
## 6004 60.03 17.021721 6.901492772 9.242004e+00
## 6005 60.04 17.225232 7.139666295 9.560704e+00
## 6006 60.05 17.468517 7.385280515 9.874242e+00
## 6007 60.06 17.752195 7.636962617 1.017896e+01
## 6008 60.07 18.076429 7.893101916 1.047078e+01
## 6009 60.08 18.440822 8.151833868 1.074524e+01
## 6010 60.09 18.844310 8.411029791 1.099755e+01
## 6011 60.10 19.285053 8.668294907 1.122266e+01
## 6012 60.11 19.760342 8.920975955 1.141541e+01
## 6013 60.12 20.266517 9.166180910 1.157068e+01
## 6014 60.13 20.798918 9.400812649 1.168352e+01
## 6015 60.14 21.351877 9.621617941 1.174943e+01
## 6016 60.15 21.918753 9.825252178 1.176452e+01
## 6017 60.16 22.492024 10.008359473 1.172577e+01
## 6018 60.17 23.063441 10.167666365 1.163123e+01
## 6019 60.18 23.624242 10.300085959 1.148024e+01
## 6020 60.19 24.165415 10.402827910 1.127352e+01
## 6021 60.20 24.678007 10.473508391 1.101329e+01
## 6022 60.21 25.153452 10.510253326 1.070324e+01
## 6023 60.22 25.583898 10.511787839 1.034848e+01
## 6024 60.23 25.962517 10.477505239 9.955338e+00
## 6025 60.24 26.283755 10.407509952 9.531156e+00
## 6026 60.25 26.543523 10.302630568 9.083962e+00
## 6027 60.26 26.739301 10.164401383 8.622151e+00
## 6028 60.27 26.870155 9.995013238 8.154142e+00
## 6029 60.28 26.936676 9.797237782 7.688049e+00
## 6030 60.29 26.940831 9.574328629 7.231396e+00
## 6031 60.30 26.885769 9.329907470 6.790886e+00
## 6032 60.31 26.775586 9.067842365 6.372234e+00
## 6033 60.32 26.615073 8.792125384 5.980075e+00
## 6034 60.33 26.409464 8.506756291 5.617942e+00
## 6035 60.34 26.164210 8.215637988 5.288292e+00
## 6036 60.35 25.884781 7.922487058 4.992587e+00
## 6037 60.36 25.576499 7.630761711 4.731406e+00
## 6038 60.37 25.244415 7.343608796 4.504578e+00
## 6039 60.38 24.893227 7.063828966 4.311325e+00
## 6040 60.39 24.527225 6.793858666 4.150403e+00
## 6041 60.40 24.150269 6.535766808 4.020233e+00
## 6042 60.41 23.765791 6.291263802 3.919018e+00
## 6043 60.42 23.376813 6.061720233 3.844851e+00
## 6044 60.43 22.985976 5.848192735 3.795795e+00
## 6045 60.44 22.595577 5.651454585 3.769955e+00
## 6046 60.45 22.207611 5.472029089 3.765526e+00
## 6047 60.46 21.823811 5.310223963 3.780830e+00
## 6048 60.47 21.445687 5.166165395 3.814345e+00
## 6049 60.48 21.074567 5.039830685 3.864717e+00
## 6050 60.49 20.711632 4.931078735 3.930763e+00
## 6051 60.50 20.357942 4.839677853 4.011476e+00
## 6052 60.51 20.014472 4.765330581 4.106014e+00
## 6053 60.52 19.682128 4.707695392 4.213693e+00
## 6054 60.53 19.361777 4.666405255 4.333974e+00
## 6055 60.54 19.054260 4.641083120 4.466446e+00
## 6056 60.55 18.760412 4.631354472 4.610814e+00
## 6057 60.56 18.481075 4.636857104 4.766878e+00
## 6058 60.57 18.217114 4.657248302 4.934520e+00
## 6059 60.58 17.969427 4.692209608 5.113678e+00
## 6060 60.59 17.738956 4.741449341 5.304335e+00
## 6061 60.60 17.526696 4.804703012 5.506493e+00
## 6062 60.61 17.333703 4.881731755 5.720156e+00
## 6063 60.62 17.161104 4.972318863 5.945305e+00
## 6064 60.63 17.010095 5.076264471 6.181876e+00
## 6065 60.64 16.881953 5.193378510 6.429735e+00
## 6066 60.65 16.778029 5.323471782 6.688652e+00
## 6067 60.66 16.699749 5.466345247 6.958269e+00
## 6068 60.67 16.648611 5.621777513 7.238073e+00
## 6069 60.68 16.626166 5.789510461 7.527360e+00
## 6070 60.69 16.634013 5.969233042 7.825203e+00
## 6071 60.70 16.673767 6.160563246 8.130414e+00
## 6072 60.71 16.747034 6.363028379 8.441510e+00
## 6073 60.72 16.855369 6.576043806 8.756676e+00
## 6074 60.73 17.000230 6.798890477 9.073734e+00
## 6075 60.74 17.182916 7.030691693 9.390113e+00
## 6076 60.75 17.404498 7.270389756 9.702830e+00
## 6077 60.76 17.665736 7.516723383 1.000848e+01
## 6078 60.77 17.966987 7.768206999 1.030324e+01
## 6079 60.78 18.308109 8.023113301 1.058290e+01
## 6080 60.79 18.688349 8.279460735 1.084288e+01
## 6081 60.80 19.106245 8.535007585 1.107835e+01
## 6082 60.81 19.559524 8.787255384 1.128429e+01
## 6083 60.82 20.045017 9.033462666 1.145564e+01
## 6084 60.83 20.558599 9.270671530 1.158744e+01
## 6085 60.84 21.095158 9.495748515 1.167508e+01
## 6086 60.85 21.648612 9.705440780 1.171444e+01
## 6087 60.86 22.211970 9.896447410 1.170213e+01
## 6088 60.87 22.777457 10.065504862 1.163574e+01
## 6089 60.88 23.336692 10.209484107 1.151400e+01
## 6090 60.89 23.880921 10.325495673 1.133696e+01
## 6091 60.90 24.401304 10.410997444 1.110607e+01
## 6092 60.91 24.889220 10.463899085 1.082427e+01
## 6093 60.92 25.336590 10.482656358 1.049589e+01
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## 6404 64.03 20.040220 4.941409621 4.366858e+00
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## 6407 64.06 19.138197 4.839655399 4.731025e+00
## 6408 64.07 18.863831 4.836261210 4.876474e+00
## 6409 64.08 18.604104 4.847593026 5.033503e+00
## 6410 64.09 18.359928 4.873343082 5.201947e+00
## 6411 64.10 18.132245 4.913219291 5.381682e+00
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## 6421 64.20 17.004819 6.033630065 7.763182e+00
## 6422 64.21 17.035082 6.212063907 8.050368e+00
## 6423 64.22 17.096936 6.401110383 8.342747e+00
## 6424 64.23 17.191743 6.600173877 8.638617e+00
## 6425 64.24 17.320769 6.808538116 8.935955e+00
## 6426 64.25 17.485123 7.025346112 9.232396e+00
## 6427 64.26 17.685700 7.249580150 9.525217e+00
## 6428 64.27 17.923110 7.480042606 9.811331e+00
## 6429 64.28 18.197597 7.715338556 1.008729e+01
## 6430 64.29 18.508957 7.953861362 1.034932e+01
## 6431 64.30 18.856447 8.193782581 1.059333e+01
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## 6433 64.32 19.653635 8.669379740 1.100991e+01
## 6434 64.33 20.098399 8.900291783 1.117354e+01
## 6435 64.34 20.569305 9.123110150 1.130151e+01
## 6436 64.35 21.061813 9.335009699 1.138971e+01
## 6437 64.36 21.570538 9.533061843 1.143444e+01
## 6438 64.37 22.089308 9.714295217 1.143267e+01
## 6439 64.38 22.611257 9.875768190 1.138213e+01
## 6440 64.39 23.128977 10.014651299 1.128156e+01
## 6441 64.40 23.634706 10.128316562 1.113081e+01
## 6442 64.41 24.120564 10.214429615 1.093093e+01
## 6443 64.42 24.578810 10.271039729 1.068425e+01
## 6444 64.43 25.002113 10.296662271 1.039431e+01
## 6445 64.44 25.383817 10.290348076 1.006581e+01
## 6446 64.45 25.718183 10.251734698 9.704433e+00
## 6447 64.46 26.000585 10.181075598 9.316664e+00
## 6448 64.47 26.227651 10.079244869 8.909516e+00
## 6449 64.48 26.397342 9.947716061 8.490269e+00
## 6450 64.49 26.508949 9.788516582 8.066187e+00
## 6451 64.50 26.563040 9.604160714 7.644257e+00
## 6452 64.51 26.561336 9.397565503 7.230959e+00
## 6453 64.52 26.506554 9.171954850 6.832081e+00
## 6454 64.53 26.402209 8.930757669 6.452589e+00
## 6455 64.54 26.252417 8.677505892 6.096547e+00
## 6456 64.55 26.061687 8.415737520 5.767097e+00
## 6457 64.56 25.834738 8.148908960 5.466482e+00
## 6458 64.57 25.576332 7.880319640 5.196104e+00
## 6459 64.58 25.291135 7.613051767 4.956615e+00
## 6460 64.59 24.983618 7.349924404 4.748026e+00
## 6461 64.60 24.657975 7.093462549 4.569815e+00
## 6462 64.61 24.318076 6.845880165 4.421044e+00
## 6463 64.62 23.967445 6.609075811 4.300471e+00
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## 6466 64.65 22.881183 5.977763355 4.092933e+00
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## 6472 64.71 20.750947 5.138457703 4.233689e+00
## 6473 64.72 20.419753 5.056132233 4.314028e+00
## 6474 64.73 20.098472 4.989955984 4.408094e+00
## 6475 64.74 19.788074 4.939666259 4.515243e+00
## 6476 64.75 19.489488 4.904970012 4.634950e+00
## 6477 64.76 19.203619 4.885557529 4.766801e+00
## 6478 64.77 18.931363 4.881113533 4.910469e+00
## 6479 64.78 18.673620 4.891325789 5.065710e+00
## 6480 64.79 18.431307 4.915891364 5.232336e+00
## 6481 64.80 18.205369 4.954520647 5.410204e+00
## 6482 64.81 17.996787 5.006939269 5.599196e+00
## 6483 64.82 17.806587 5.072888025 5.799197e+00
## 6484 64.83 17.635844 5.152120900 6.010076e+00
## 6485 64.84 17.485688 5.244401264 6.231666e+00
## 6486 64.85 17.357306 5.349496300 6.463740e+00
## 6487 64.86 17.251944 5.467169691 6.705982e+00
## 6488 64.87 17.170899 5.597172656 6.957969e+00
## 6489 64.88 17.115517 5.739233231 7.219139e+00
## 6490 64.89 17.087183 5.893043927 7.488761e+00
## 6491 64.90 17.087303 6.058247790 7.765909e+00
## 6492 64.91 17.117283 6.234422920 8.049429e+00
## 6493 64.92 17.178505 6.421065603 8.337911e+00
## 6494 64.93 17.272287 6.617572240 8.629659e+00
## 6495 64.94 17.399846 6.823220400 8.922666e+00
## 6496 64.95 17.562243 7.037149411 9.214590e+00
## 6497 64.96 17.760321 7.258341082 9.502746e+00
## 6498 64.97 17.994641 7.485601303 9.784092e+00
## 6499 64.98 18.265401 7.717543481 1.005524e+01
## 6500 64.99 18.572358 7.952574944 1.031249e+01
## 6501 65.00 18.914738 8.188887662 1.055185e+01
## 6502 65.01 19.291157 8.424454766 1.076910e+01
## 6503 65.02 19.699537 8.657034416 1.095990e+01
## 6504 65.03 20.137044 8.884182513 1.111990e+01
## 6505 65.04 20.600035 9.103276358 1.124482e+01
## 6506 65.05 21.084042 9.311549256 1.133068e+01
## 6507 65.06 21.583784 9.506137426 1.137392e+01
## 6508 65.07 22.093215 9.684139171 1.137160e+01
## 6509 65.08 22.605627 9.842685460 1.132155e+01
## 6510 65.09 23.113790 9.979019788 1.122257e+01
## 6511 65.10 23.610140 10.090584574 1.107453e+01
## 6512 65.11 24.087001 10.175109974 1.087850e+01
## 6513 65.12 24.536834 10.230700662 1.063671e+01
## 6514 65.13 24.952503 10.255915187 1.035265e+01
## 6515 65.14 25.327524 10.249832769 1.003086e+01
## 6516 65.15 25.656297 10.212102585 9.676881e+00
## 6517 65.16 25.934302 10.142971838 9.296997e+00
## 6518 65.17 26.158227 10.043290090 8.898023e+00
## 6519 65.18 26.326047 9.914489153 8.487031e+00
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## 6521 65.20 26.491677 9.577885681 7.657004e+00
## 6522 65.21 26.491614 9.375366028 7.251101e+00
## 6523 65.22 26.439434 9.154119685 6.859043e+00
## 6524 65.23 26.338519 8.917488700 6.485704e+00
## 6525 65.24 26.192840 8.668919392 6.135092e+00
## 6526 65.25 26.006764 8.411868461 5.810323e+00
## 6527 65.26 25.784873 8.149717714 5.513643e+00
## 6528 65.27 25.531805 7.885700733 5.246481e+00
## 6529 65.28 25.252116 7.622843205 5.009533e+00
## 6530 65.29 24.950183 7.363917897 4.802868e+00
## 6531 65.30 24.630123 7.111413979 4.626029e+00
## 6532 65.31 24.295746 6.867519730 4.478151e+00
## 6533 65.32 23.950529 6.634117162 4.358063e+00
## 6534 65.33 23.597613 6.412786970 4.264385e+00
## 6535 65.34 23.239805 6.204821493 4.195613e+00
## 6536 65.35 22.879600 6.011243983 4.150193e+00
## 6537 65.36 22.519207 5.832832212 4.126574e+00
## 6538 65.37 22.160579 5.670144822 4.123262e+00
## 6539 65.38 21.805441 5.523548960 4.138849e+00
## 6540 65.39 21.455327 5.393248044 4.172037e+00
## 6541 65.40 21.111606 5.279308736 4.221656e+00
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## 6543 65.42 20.448183 5.100248641 4.366176e+00
## 6544 65.43 20.130654 5.034796395 4.459409e+00
## 6545 65.44 19.823912 4.985082576 4.565726e+00
## 6546 65.45 19.528897 4.950828149 4.684599e+00
## 6547 65.46 19.246526 4.931735645 4.815605e+00
## 6548 65.47 18.977703 4.927500090 4.958412e+00
## 6549 65.48 18.723338 4.937817498 5.112759e+00
## 6550 65.49 18.484354 4.962391066 5.278445e+00
## 6551 65.50 18.261702 5.000935163 5.455309e+00
## 6552 65.51 18.056364 5.053177240 5.643213e+00
## 6553 65.52 17.869368 5.118857759 5.842019e+00
## 6554 65.53 17.701787 5.197728246 6.051575e+00
## 6555 65.54 17.554746 5.289547524 6.271688e+00
## 6556 65.55 17.429424 5.394076205 6.502103e+00
## 6557 65.56 17.327053 5.511069454 6.742478e+00
## 6558 65.57 17.248914 5.640268086 6.992361e+00
## 6559 65.58 17.196334 5.781388003 7.251161e+00
## 6560 65.59 17.170668 5.934108052 7.518119e+00
## 6561 65.60 17.173290 6.098056272 7.792283e+00
## 6562 65.61 17.205567 6.272794691 8.072473e+00
## 6563 65.62 17.268835 6.457802820 8.357257e+00
## 6564 65.63 17.364360 6.652460027 8.644922e+00
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## 6573 65.72 19.782126 8.663581173 1.092302e+01
## 6574 65.73 20.214451 8.886280909 1.107652e+01
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## 6576 65.75 21.148061 9.304252390 1.127527e+01
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## 6578 65.77 22.140013 9.667168412 1.130650e+01
## 6579 65.78 22.642585 9.820956298 1.125292e+01
## 6580 65.79 23.140272 9.952698729 1.115147e+01
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## 6583 65.82 24.530013 10.192525257 1.056565e+01
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## 6590 65.89 26.369978 9.713407852 8.040897e+00
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## 6592 65.91 26.417572 9.334528510 7.237877e+00
## 6593 65.92 26.363779 9.116316615 6.854191e+00
## 6594 65.93 26.262410 8.883214759 6.488924e+00
## 6595 65.94 26.117332 8.638586879 6.145949e+00
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## 6698 66.97 17.396998 5.763133616 7.125147e+00
## 6699 66.98 17.356741 5.905049797 7.380762e+00
## 6700 66.99 17.343416 6.058147099 7.643688e+00
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## 6704 67.03 17.584873 6.772818674 8.743777e+00
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## 6708 67.07 18.348076 7.616084192 9.829818e+00
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## 6715 67.14 20.928466 9.142694655 1.111077e+01
## 6716 67.15 21.393747 9.333129328 1.116927e+01
## 6717 67.16 21.870465 9.509025313 1.118634e+01
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## 6720 67.19 23.307234 9.923204668 1.097054e+01
## 6721 67.20 23.765721 10.015359007 1.080793e+01
## 6722 67.21 24.202325 10.081142876 1.060171e+01
## 6723 67.22 24.610291 10.119036132 1.035454e+01
## 6724 67.23 24.983348 10.127967072 1.007012e+01
## 6725 67.24 25.315922 10.107363781 9.753078e+00
## 6726 67.25 25.603325 10.057188340 9.408817e+00
## 6727 67.26 25.841900 9.977951003 9.043332e+00
## 6728 67.27 26.029119 9.870703138 8.662979e+00
## 6729 67.28 26.163614 9.737008937 8.274241e+00
## 6730 67.29 26.245166 9.578897564 7.883499e+00
## 6731 67.30 26.274631 9.398798610 7.496819e+00
## 6732 67.31 26.253827 9.199464930 7.119769e+00
## 6733 67.32 26.185386 8.983887439 6.757281e+00
## 6734 67.33 26.072591 8.755206741 6.413551e+00
## 6735 67.34 25.919203 8.516626200 6.091990e+00
## 6736 67.35 25.729290 8.271330510 5.795217e+00
## 6737 67.36 25.507078 8.022413013 5.525083e+00
## 6738 67.37 25.256810 7.772813998 5.282729e+00
## 6739 67.38 24.982643 7.525271352 5.068667e+00
## 6740 67.39 24.688556 7.282284112 4.882867e+00
## 6741 67.40 24.378293 7.046088515 4.724857e+00
## 6742 67.41 24.055324 6.818645494 4.593817e+00
## 6743 67.42 23.722824 6.601638285 4.488670e+00
## 6744 67.43 23.383669 6.396478586 4.408169e+00
## 6745 67.44 23.040446 6.204319539 4.350964e+00
## 6746 67.45 22.695469 6.026073827 4.315667e+00
## 6747 67.46 22.350800 5.862435338 4.300900e+00
## 6748 67.47 22.008279 5.713902969 4.305335e+00
## 6749 67.48 21.669548 5.580805394 4.327724e+00
## 6750 67.49 21.336079 5.463325810 4.366915e+00
## 6751 67.50 21.009204 5.361525747 4.421869e+00
## 6752 67.51 20.690135 5.275367574 4.491664e+00
## 6753 67.52 20.379993 5.204735189 4.575495e+00
## 6754 67.53 20.079826 5.149452541 4.672671e+00
## 6755 67.54 19.790628 5.109299876 4.782610e+00
## 6756 67.55 19.513357 5.084027654 4.904825e+00
## 6757 67.56 19.248951 5.073368098 5.038917e+00
## 6758 67.57 18.998342 5.077044448 5.184557e+00
## 6759 67.58 18.762465 5.094777974 5.341476e+00
## 6760 67.59 18.542270 5.126292850 5.509443e+00
## 6761 67.60 18.338734 5.171318986 5.688253e+00
## 6762 67.61 18.152861 5.229592914 5.877708e+00
## 6763 67.62 17.985696 5.300856803 6.077595e+00
## 6764 67.63 17.838322 5.384855705 6.287669e+00
## 6765 67.64 17.711865 5.481333074 6.507628e+00
## 6766 67.65 17.607495 5.590024618 6.737096e+00
## 6767 67.66 17.526418 5.710650542 6.975592e+00
## 6768 67.67 17.469873 5.842906217 7.222513e+00
## 6769 67.68 17.439123 5.986451342 7.477102e+00
## 6770 67.69 17.435435 6.140897656 7.738426e+00
## 6771 67.70 17.460065 6.305795323 8.005346e+00
## 6772 67.71 17.514229 6.480618164 8.276497e+00
## 6773 67.72 17.599075 6.664747881 8.550256e+00
## 6774 67.73 17.715641 6.857457650 8.824728e+00
## 6775 67.74 17.864808 7.057895472 9.097728e+00
## 6776 67.75 18.047251 7.265067821 9.366767e+00
## 6777 67.76 18.263376 7.477824267 9.629054e+00
## 6778 67.77 18.513253 7.694843902 9.881503e+00
## 6779 67.78 18.796549 7.914624571 1.012076e+01
## 6780 67.79 19.112454 8.135476032 1.034323e+01
## 6781 67.80 19.459610 8.355518250 1.054516e+01
## 6782 67.81 19.836049 8.572686135 1.072267e+01
## 6783 67.82 20.239136 8.784742312 1.087190e+01
## 6784 67.83 20.665533 8.989298425 1.098908e+01
## 6785 67.84 21.111186 9.183846229 1.107070e+01
## 6786 67.85 21.571336 9.365798992 1.111363e+01
## 6787 67.86 22.040569 9.532543080 1.111528e+01
## 6788 67.87 22.512896 9.681498793 1.107374e+01
## 6789 67.88 22.981881 9.810188946 1.098791e+01
## 6790 67.89 23.440790 9.916312766 1.085764e+01
## 6791 67.90 23.882784 9.997821885 1.068379e+01
## 6792 67.91 24.301128 10.052994587 1.046826e+01
## 6793 67.92 24.689409 10.080504072 1.021397e+01
## 6794 67.93 25.041751 10.079476457 9.924828e+00
## 6795 67.94 25.353018 10.049534539 9.605588e+00
## 6796 67.95 25.618977 9.990824085 9.261693e+00
## 6797 67.96 25.836422 9.904020589 8.899080e+00
## 6798 67.97 26.003252 9.790315776 8.523967e+00
## 6799 67.98 26.118484 9.651383854 8.142621e+00
## 6800 67.99 26.182225 9.489329911 7.761149e+00
## 6801 68.00 26.195587 9.306623678 7.385294e+00
## 6802 68.01 26.160570 9.106022578 7.020283e+00
## 6803 68.02 26.079914 8.890488507 6.670696e+00
## 6804 68.03 25.956943 8.663102928 6.340392e+00
## 6805 68.04 25.795393 8.426984568 6.032469e+00
## 6806 68.05 25.599260 8.185213324 5.749266e+00
## 6807 68.06 25.372655 7.940763189 5.492398e+00
## 6808 68.07 25.119685 7.696446113 5.262818e+00
## 6809 68.08 24.844345 7.454868371 5.060894e+00
## 6810 68.09 24.550454 7.218398498 4.886496e+00
## 6811 68.10 24.241592 6.989147008 4.739092e+00
## 6812 68.11 23.921071 6.768956927 4.617836e+00
## 6813 68.12 23.591922 6.559403807 4.521654e+00
## 6814 68.13 23.256891 6.361803318 4.449324e+00
## 6815 68.14 22.918449 6.177224998 4.399538e+00
## 6816 68.15 22.578810 6.006510550 4.370964e+00
## 6817 68.16 22.239953 5.850295214 4.362285e+00
## 6818 68.17 21.903649 5.709030913 4.372239e+00
## 6819 68.18 21.571484 5.583010086 4.399643e+00
## 6820 68.19 21.244888 5.472389295 4.443410e+00
## 6821 68.20 20.925158 5.377211906 4.502560e+00
## 6822 68.21 20.613485 5.297429311 4.576225e+00
## 6823 68.22 20.310973 5.232920334 4.663649e+00
## 6824 68.23 20.018660 5.183508553 4.764182e+00
## 6825 68.24 19.737539 5.148977401 4.877274e+00
## 6826 68.25 19.468567 5.129082984 5.002463e+00
## 6827 68.26 19.212689 5.123564634 5.139368e+00
## 6828 68.27 18.970841 5.132153251 5.287670e+00
## 6829 68.28 18.743970 5.154577475 5.447097e+00
## 6830 68.29 18.533036 5.190567801 5.617413e+00
## 6831 68.30 18.339026 5.239858715 5.798397e+00
## 6832 68.31 18.162955 5.302188938 5.989825e+00
## 6833 68.32 18.005875 5.377299875 6.191452e+00
## 6834 68.33 17.868877 5.464932331 6.402989e+00
## 6835 68.34 17.753089 5.564821477 6.624087e+00
## 6836 68.35 17.659678 5.676690317 6.854308e+00
## 6837 68.36 17.589840 5.800241543 7.093105e+00
## 6838 68.37 17.544797 5.935147857 7.339799e+00
## 6839 68.38 17.525784 6.081040850 7.593549e+00
## 6840 68.39 17.534029 6.237498552 7.853332e+00
## 6841 68.40 17.570732 6.404031759 8.117913e+00
## 6842 68.41 17.637040 6.580069320 8.385827e+00
## 6843 68.42 17.734010 6.764942683 8.655352e+00
## 6844 68.43 17.862568 6.957869973 8.924491e+00
## 6845 68.44 18.023463 7.157940119 9.190965e+00
## 6846 68.45 18.217211 7.364097617 9.452201e+00
## 6847 68.46 18.444036 7.575128635 9.705340e+00
## 6848 68.47 18.703802 7.789649342 9.947248e+00
## 6849 68.48 18.995946 8.006097469 1.017455e+01
## 6850 68.49 19.319412 8.222728246 1.038368e+01
## 6851 68.50 19.672582 8.437615911 1.057092e+01
## 6852 68.51 20.053222 8.648661999 1.073252e+01
## 6853 68.52 20.458437 8.853611544 1.086476e+01
## 6854 68.53 20.884645 9.050078580 1.096412e+01
## 6855 68.54 21.327577 9.235580759 1.102735e+01
## 6856 68.55 21.782306 9.407583798 1.105165e+01
## 6857 68.56 22.243307 9.563555381 1.103480e+01
## 6858 68.57 22.704555 9.701027377 1.097532e+01
## 6859 68.58 23.159658 9.817664306 1.087255e+01
## 6860 68.59 23.602020 9.911335540 1.072678e+01
## 6861 68.60 24.025032 9.980187756 1.053927e+01
## 6862 68.61 24.422277 10.022713997 1.031232e+01
## 6863 68.62 24.787741 10.037815149 1.004916e+01
## 6864 68.63 25.116012 10.024849929 9.753948e+00
## 6865 68.64 25.402460 9.983669800 9.431572e+00
## 6866 68.65 25.643379 9.914636288 9.087517e+00
## 6867 68.66 25.836085 9.818619102 8.727662e+00
## 6868 68.67 25.978970 9.696974863 8.358062e+00
## 6869 68.68 26.071494 9.551507499 7.984743e+00
## 6870 68.69 26.114139 9.384412733 7.613493e+00
## 6871 68.70 26.108316 9.198209948 7.249697e+00
## 6872 68.71 26.056239 8.995665491 6.898189e+00
## 6873 68.72 25.960778 8.779711749 6.563154e+00
## 6874 68.73 25.825309 8.553366232 6.248066e+00
## 6875 68.74 25.653552 8.319654511 5.955667e+00
## 6876 68.75 25.449429 8.081540076 5.687978e+00
## 6877 68.76 25.216934 7.841863687 5.446346e+00
## 6878 68.77 24.960019 7.603293577 5.231504e+00
## 6879 68.78 24.682514 7.368287343 5.043651e+00
## 6880 68.79 24.388056 7.139065343 4.882538e+00
## 6881 68.80 24.080045 6.917594932 4.747558e+00
## 6882 68.81 23.761623 6.705584506 4.637829e+00
## 6883 68.82 23.435657 6.504485965 4.552274e+00
## 6884 68.83 23.104748 6.315504066 4.489694e+00
## 6885 68.84 22.771237 6.139611136 4.448823e+00
## 6886 68.85 22.437226 5.977565662 4.428383e+00
## 6887 68.86 22.104598 5.829933414 4.427126e+00
## 6888 68.87 21.775045 5.697109937 4.443858e+00
## 6889 68.88 21.450087 5.579343401 4.477467e+00
## 6890 68.89 21.131105 5.476757024 4.526936e+00
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## 7025 70.24 22.408664 6.041947304 4.557157e+00
## 7026 70.25 22.087342 5.900473888 4.556471e+00
## 7027 70.26 21.768909 5.773257410 4.573371e+00
## 7028 70.27 21.454879 5.660563820 4.606818e+00
## 7029 70.28 21.146631 5.562538758 4.655855e+00
## 7030 70.29 20.845431 5.479227279 4.719616e+00
## 7031 70.30 20.552449 5.410592231 4.797329e+00
## 7032 70.31 20.268783 5.356530996 4.888312e+00
## 7033 70.32 19.995474 5.316890363 4.991976e+00
## 7034 70.33 19.733522 5.291479412 5.107810e+00
## 7035 70.34 19.483898 5.280080365 5.235375e+00
## 7036 70.35 19.247563 5.282457383 5.374291e+00
## 7037 70.36 19.025470 5.298363350 5.524226e+00
## 7038 70.37 18.818580 5.327544696 5.684880e+00
## 7039 70.38 18.627869 5.369744326 5.855969e+00
## 7040 70.39 18.454330 5.424702731 6.037209e+00
## 7041 70.40 18.298983 5.492157342 6.228298e+00
## 7042 70.41 18.162874 5.571840220 6.428896e+00
## 7043 70.42 18.047074 5.663474116 6.638610e+00
## 7044 70.43 17.952685 5.766766992 6.856967e+00
## 7045 70.44 17.880825 5.881405090 7.083396e+00
## 7046 70.45 17.832626 6.007044526 7.317205e+00
## 7047 70.46 17.809223 6.143301581 7.557560e+00
## 7048 70.47 17.811737 6.289741779 7.803461e+00
## 7049 70.48 17.841253 6.445867868 8.053718e+00
## 7050 70.49 17.898797 6.611106913 8.306936e+00
## 7051 70.50 17.985304 6.784796750 8.561491e+00
## 7052 70.51 18.101584 6.966172117 8.815517e+00
## 7053 70.52 18.248274 7.154350902 9.066897e+00
## 7054 70.53 18.425797 7.348321035 9.313256e+00
## 7055 70.54 18.634300 7.546928644 9.551970e+00
## 7056 70.55 18.873608 7.748868278 9.780179e+00
## 7057 70.56 19.143156 7.952676028 9.994810e+00
## 7058 70.57 19.441933 8.156726547 1.019262e+01
## 7059 70.58 19.768430 8.359234963 1.037027e+01
## 7060 70.59 20.120586 8.558264704 1.052436e+01
## 7061 70.60 20.495755 8.751742177 1.065154e+01
## 7062 70.61 20.890684 8.937479443 1.074863e+01
## 7063 70.62 21.301512 9.113204702 1.081269e+01
## 7064 70.63 21.723794 9.276601194 1.084118e+01
## 7065 70.64 22.152555 9.425354183 1.083206e+01
## 7066 70.65 22.582372 9.557205074 1.078393e+01
## 7067 70.66 23.007484 9.670010961 1.069612e+01
## 7068 70.67 23.421935 9.761807513 1.056875e+01
## 7069 70.68 23.819731 9.830872335 1.040285e+01
## 7070 70.69 24.195022 9.875785785 1.020030e+01
## 7071 70.70 24.542278 9.895485722 9.963865e+00
## 7072 70.71 24.856469 9.889312899 9.697101e+00
## 7073 70.72 25.133219 9.857043922 9.404260e+00
## 7074 70.73 25.368941 9.798909498 9.090152e+00
## 7075 70.74 25.560933 9.715596433 8.759978e+00
## 7076 70.75 25.707431 9.608232988 8.419154e+00
## 7077 70.76 25.807620 9.478358181 8.073124e+00
## 7078 70.77 25.861607 9.327876839 7.727184e+00
## 7079 70.78 25.870352 9.159002931 7.386325e+00
## 7080 70.79 25.835569 8.974194443 7.055100e+00
## 7081 70.80 25.759609 8.776083393 6.737525e+00
## 7082 70.81 25.645327 8.567404592 6.437010e+00
## 7083 70.82 25.495952 8.350926553 6.156331e+00
## 7084 70.83 25.314949 8.129387313 5.897621e+00
## 7085 70.84 25.105909 7.905437692 5.662406e+00
## 7086 70.85 24.872441 7.681593329 5.451642e+00
## 7087 70.86 24.618088 7.460196616 5.265781e+00
## 7088 70.87 24.346262 7.243388578 5.104843e+00
## 7089 70.88 24.060192 7.033090416 4.968489e+00
## 7090 70.89 23.762897 6.830993978 4.856097e+00
## 7091 70.90 23.457168 6.638560114 4.766833e+00
## 7092 70.91 23.145560 6.457023675 4.699716e+00
## 7093 70.92 22.830401 6.287403857 4.653674e+00
## 7094 70.93 22.513798 6.130518602 4.627596e+00
## 7095 70.94 22.197660 5.987001853 4.620368e+00
## 7096 70.95 21.883713 5.857322558 4.630907e+00
## 7097 70.96 21.573520 5.741804503 4.658187e+00
## 7098 70.97 21.268507 5.640646164 4.701249e+00
## 7099 70.98 20.969979 5.553939968 4.759219e+00
## 7100 70.99 20.679144 5.481690464 4.831309e+00
## 7101 71.00 20.397130 5.423831050 4.916818e+00
## 7102 71.01 20.125003 5.380238930 5.015131e+00
## 7103 71.02 19.863783 5.350748297 5.125712e+00
## 7104 71.03 19.614455 5.335161559 5.248095e+00
## 7105 71.04 19.377987 5.333258573 5.381872e+00
## 7106 71.05 19.155340 5.344803899 5.526687e+00
## 7107 71.06 18.947471 5.369552143 5.682214e+00
## 7108 71.07 18.755352 5.407251439 5.848148e+00
## 7109 71.08 18.579965 5.457645116 6.024187e+00
## 7110 71.09 18.422316 5.520471640 6.210014e+00
## 7111 71.10 18.283432 5.595462888 6.405283e+00
## 7112 71.11 18.164365 5.682340819 6.609593e+00
## 7113 71.12 18.066187 5.780812624 6.822475e+00
## 7114 71.13 17.989990 5.890564396 7.043368e+00
## 7115 71.14 17.936877 6.011253409 7.271598e+00
## 7116 71.15 17.907951 6.142499089 7.506356e+00
## 7117 71.16 17.904301 6.283872808 7.746679e+00
## 7118 71.17 17.926982 6.434886561 7.991425e+00
## 7119 71.18 17.976994 6.594980778 8.239256e+00
## 7120 71.19 18.055251 6.763511499 8.488617e+00
## 7121 71.20 18.162545 6.939737199 8.737727e+00
## 7122 71.21 18.299512 7.122805675 8.984561e+00
## 7123 71.22 18.466581 7.311741476 9.226853e+00
## 7124 71.23 18.663925 7.505434480 9.462093e+00
## 7125 71.24 18.891412 7.702630328 9.687546e+00
## 7126 71.25 19.148543 7.901923510 9.900270e+00
## 7127 71.26 19.434399 8.101753998 1.009716e+01
## 7128 71.27 19.747588 8.300408574 1.027499e+01
## 7129 71.28 20.086198 8.496027468 1.043050e+01
## 7130 71.29 20.447761 8.686617407 1.056043e+01
## 7131 71.30 20.829226 8.870071897 1.066169e+01
## 7132 71.31 21.226961 9.044199252 1.073139e+01
## 7133 71.32 21.636768 9.206758486 1.076700e+01
## 7134 71.33 22.053931 9.355502879 1.076647e+01
## 7135 71.34 22.473287 9.488230432 1.072830e+01
## 7136 71.35 22.889327 9.602839839 1.065171e+01
## 7137 71.36 23.296325 9.697390025 1.053665e+01
## 7138 71.37 23.688489 9.770160739 1.038391e+01
## 7139 71.38 24.060123 9.819711280 1.019512e+01
## 7140 71.39 24.405799 9.844934157 9.972761e+00
## 7141 71.40 24.720529 9.845100506 9.720073e+00
## 7142 71.41 24.999920 9.819894462 9.441002e+00
## 7143 71.42 25.240301 9.769434043 9.140056e+00
## 7144 71.43 25.438830 9.694276800 8.822166e+00
## 7145 71.44 25.593552 9.595409650 8.492509e+00
## 7146 71.45 25.703424 9.474223366 8.156338e+00
## 7147 71.46 25.768295 9.332473037 7.818813e+00
## 7148 71.47 25.788853 9.172226708 7.484842e+00
## 7149 71.48 25.766538 8.995805138 7.158951e+00
## 7150 71.49 25.703439 8.805715965 6.845176e+00
## 7151 71.50 25.602166 8.604585729 6.546995e+00
## 7152 71.51 25.465730 8.395092981 6.267282e+00
## 7153 71.52 25.297410 8.179905405 6.008303e+00
## 7154 71.53 25.100643 7.961623246 5.771726e+00
## 7155 71.54 24.878918 7.742730782 5.558661e+00
## 7156 71.55 24.635690 7.525556837 5.369719e+00
## 7157 71.56 24.374312 7.312244775 5.205068e+00
## 7158 71.57 24.097978 7.104731811 5.064511e+00
## 7159 71.58 23.809694 6.904737064 4.947554e+00
## 7160 71.59 23.512254 6.713757461 4.853474e+00
## 7161 71.60 23.208229 6.533070358 4.781385e+00
## 7162 71.61 22.899972 6.363741685 4.730295e+00
## 7163 71.62 22.589624 6.206638381 4.699155e+00
## 7164 71.63 22.279128 6.062443942 4.686898e+00
## 7165 71.64 21.970245 5.931676008 4.692477e+00
## 7166 71.65 21.664575 5.814705055 4.714886e+00
## 7167 71.66 21.363579 5.711773370 4.753178e+00
## 7168 71.67 21.068594 5.623013677 4.806481e+00
## 7169 71.68 20.780856 5.548466877 4.874004e+00
## 7170 71.69 20.501519 5.488098533 4.955035e+00
## 7171 71.70 20.231669 5.441813817 5.048944e+00
## 7172 71.71 19.972343 5.409470642 5.155178e+00
## 7173 71.72 19.724541 5.390891056 5.273250e+00
## 7174 71.73 19.489240 5.385870717 5.402732e+00
## 7175 71.74 19.267404 5.394186451 5.543245e+00
## 7176 71.75 19.059992 5.415601917 5.694443e+00
## 7177 71.76 18.867971 5.449871462 5.856000e+00
## 7178 71.77 18.692317 5.496742196 6.027596e+00
## 7179 71.78 18.534024 5.555954358 6.208898e+00
## 7180 71.79 18.394104 5.627240043 6.399546e+00
## 7181 71.80 18.273588 5.710320342 6.599131e+00
## 7182 71.81 18.173529 5.804900979 6.807179e+00
## 7183 71.82 18.094991 5.910666502 7.023128e+00
## 7184 71.83 18.039048 6.027273105 7.246311e+00
## 7185 71.84 18.006774 6.154340167 7.475933e+00
## 7186 71.85 17.999224 6.291440615 7.711052e+00
## 7187 71.86 18.017421 6.438090278 7.950554e+00
## 7188 71.87 18.062332 6.593736326 8.193140e+00
## 7189 71.88 18.134842 6.757745109 8.437307e+00
## 7190 71.89 18.235717 6.929389654 8.681332e+00
## 7191 71.90 18.365572 7.107837210 8.923263e+00
## 7192 71.91 18.524824 7.292137292 9.160916e+00
## 7193 71.92 18.713646 7.481210796 9.391875e+00
## 7194 71.93 18.931920 7.673840859 9.613509e+00
## 7195 71.94 19.179175 7.868666215 9.822989e+00
## 7196 71.95 19.454545 8.064177882 1.001733e+01
## 7197 71.96 19.756710 8.258720070 1.019342e+01
## 7198 71.97 20.083855 8.450496449 1.034811e+01
## 7199 71.98 20.433632 8.637582196 1.047828e+01
## 7200 71.99 20.803142 8.817942820 1.058092e+01
## 7201 72.00 21.188924 8.989460307 1.065322e+01
## 7202 72.01 21.586978 9.149966785 1.069271e+01
## 7203 72.02 21.992797 9.297285417 1.069735e+01
## 7204 72.03 22.401443 9.429277892 1.066565e+01
## 7205 72.04 22.807633 9.543897294 1.059674e+01
## 7206 72.05 23.205862 9.639244540 1.049051e+01
## 7207 72.06 23.590537 9.713626112 1.034760e+01
## 7208 72.07 23.956141 9.765610347 1.016945e+01
## 7209 72.08 24.297388 9.794079349 9.958344e+00
## 7210 72.09 24.609388 9.798273495 9.717278e+00
## 7211 72.10 24.887794 9.777825743 9.449947e+00
## 7212 72.11 25.128936 9.732783544 9.160607e+00
## 7213 72.12 25.329919 9.663616700 8.853941e+00
## 7214 72.13 25.488687 9.571210161 8.534898e+00
## 7215 72.14 25.604057 9.456842111 8.208534e+00
## 7216 72.15 25.675704 9.322148553 7.879845e+00
## 7217 72.16 25.704120 9.169076300 7.553618e+00
## 7218 72.17 25.690536 8.999826968 7.234302e+00
## 7219 72.18 25.636828 8.816795049 6.925897e+00
## 7220 72.19 25.545400 8.622503266 6.631886e+00
## 7221 72.20 25.419070 8.419538346 6.355181e+00
## 7222 72.21 25.260943 8.210489995 6.098114e+00
## 7223 72.22 25.074304 7.997895409 5.862443e+00
## 7224 72.23 24.862516 7.784191050 5.649384e+00
## 7225 72.24 24.628930 7.571672820 5.459656e+00
## 7226 72.25 24.376820 7.362465145 5.293545e+00
## 7227 72.26 24.109324 7.158498968 5.150966e+00
## 7228 72.27 23.829411 6.961498201 5.031531e+00
## 7229 72.28 23.539853 6.772973847 4.934615e+00
## 7230 72.29 23.243213 6.594224812 4.859421e+00
## 7231 72.30 22.941848 6.426344263 4.805030e+00
## 7232 72.31 22.637908 6.270230379 4.770458e+00
## 7233 72.32 22.333353 6.126600380 4.754690e+00
## 7234 72.33 22.029964 5.996006775 4.756717e+00
## 7235 72.34 21.729364 5.878854903 4.775564e+00
## 7236 72.35 21.433034 5.775420975 4.810305e+00
## 7237 72.36 21.142334 5.685869942 4.860081e+00
## 7238 72.37 20.858522 5.610272669 4.924103e+00
## 7239 72.38 20.582769 5.548621999 5.001660e+00
## 7240 72.39 20.316179 5.500847422 5.092116e+00
## 7241 72.40 20.059801 5.466828139 5.194906e+00
## 7242 72.41 19.814647 5.446404307 5.309532e+00
## 7243 72.42 19.581702 5.439386577 5.435551e+00
## 7244 72.43 19.361932 5.445563781 5.572564e+00
## 7245 72.44 19.156301 5.464708770 5.720209e+00
## 7246 72.45 18.965771 5.496582461 5.878141e+00
## 7247 72.46 18.791312 5.540936169 6.046022e+00
## 7248 72.47 18.633910 5.597512255 6.223502e+00
## 7249 72.48 18.494562 5.666043160 6.410205e+00
## 7250 72.49 18.374284 5.746248891 6.605708e+00
## 7251 72.50 18.274107 5.837833028 6.809527e+00
## 7252 72.51 18.195072 5.940477305 7.021092e+00
## 7253 72.52 18.138225 6.053834875 7.239734e+00
## 7254 72.53 18.104608 6.177522310 7.464659e+00
## 7255 72.54 18.095244 6.311110476 7.694931e+00
## 7256 72.55 18.111120 6.454114397 7.929455e+00
## 7257 72.56 18.153167 6.605982328 8.166953e+00
## 7258 72.57 18.222231 6.766084188 8.405953e+00
## 7259 72.58 18.319044 6.933699708 8.644773e+00
## 7260 72.59 18.444185 7.108006634 8.881514e+00
## 7261 72.60 18.598044 7.288069444 9.114054e+00
## 7262 72.61 18.780773 7.472829107 9.340053e+00
## 7263 72.62 18.992238 7.661094518 9.556963e+00
## 7264 72.63 19.231972 7.851536346 9.762052e+00
## 7265 72.64 19.499122 8.042684075 9.952436e+00
## 7266 72.65 19.792400 8.232927086 1.012512e+01
## 7267 72.66 20.110045 8.420520599 1.027708e+01
## 7268 72.67 20.449787 8.603597559 1.040529e+01
## 7269 72.68 20.808826 8.780186628 1.050685e+01
## 7270 72.69 21.183826 8.948237082 1.057908e+01
## 7271 72.70 21.570935 9.105650840 1.061957e+01
## 7272 72.71 21.965819 9.250321399 1.062636e+01
## 7273 72.72 22.363723 9.380178943 1.059798e+01
## 7274 72.73 22.759567 9.493240553 1.053359e+01
## 7275 72.74 23.148047 9.587663838 1.043303e+01
## 7276 72.75 23.523774 9.661801848 1.029686e+01
## 7277 72.76 23.881419 9.714256744 1.012646e+01
## 7278 72.77 24.215863 9.743929442 9.923918e+00
## 7279 72.78 24.522357 9.750062436 9.692094e+00
## 7280 72.79 24.796659 9.732273156 9.434479e+00
## 7281 72.80 25.035161 9.690575635 9.155121e+00
## 7282 72.81 25.234989 9.625389002 8.858484e+00
## 7283 72.82 25.394066 9.537532065 8.549308e+00
## 7284 72.83 25.511147 9.428203708 8.232451e+00
## 7285 72.84 25.585809 9.298950339 7.912733e+00
## 7286 72.85 25.618418 9.151622234 7.594793e+00
## 7287 72.86 25.610059 8.988321093 7.282964e+00
## 7288 72.87 25.562446 8.811341611 6.981164e+00
## 7289 72.88 25.477819 8.623110097 6.692827e+00
## 7290 72.89 25.358830 8.426123084 6.420853e+00
## 7291 72.90 25.208429 8.222888619 6.167584e+00
## 7292 72.91 25.029757 8.015872446 5.934817e+00
## 7293 72.92 24.826048 7.807450801 5.723823e+00
## 7294 72.93 24.600545 7.599871330 5.535394e+00
## 7295 72.94 24.356428 7.395222012 5.369893e+00
## 7296 72.95 24.096764 7.195408555 5.227319e+00
## 7297 72.96 23.824463 7.002139966 5.107368e+00
## 7298 72.97 23.542255 6.816921657 5.009496e+00
## 7299 72.98 23.252675 6.641054960 4.932982e+00
## 7300 72.99 22.958062 6.475642137 4.876978e+00
## 7301 73.00 22.660559 6.321595787 4.840557e+00
## 7302 73.01 22.362123 6.179651571 4.822760e+00
## 7303 73.02 22.064540 6.050383250 4.822620e+00
## 7304 73.03 21.769441 5.934219140 4.839197e+00
## 7305 73.04 21.478316 5.831459194 4.871594e+00
## 7306 73.05 21.192539 5.742292056 4.918969e+00
## 7307 73.06 20.913378 5.666811553 4.980547e+00
## 7308 73.07 20.642017 5.605032227 5.055624e+00
## 7309 73.08 20.379571 5.556903572 5.143566e+00
## 7310 73.09 20.127099 5.522322780 5.243804e+00
## 7311 73.10 19.885619 5.501145827 5.355832e+00
## 7312 73.11 19.656123 5.493196843 5.479197e+00
## 7313 73.12 19.439581 5.498275723 5.613489e+00
## 7314 73.13 19.236955 5.516163984 5.758328e+00
## 7315 73.14 19.049208 5.546628877 5.913355e+00
## 7316 73.15 18.877304 5.589425830 6.078213e+00
## 7317 73.16 18.722220 5.644299230 6.252535e+00
## 7318 73.17 18.584941 5.710981656 6.435926e+00
## 7319 73.18 18.466467 5.789191590 6.627947e+00
## 7320 73.19 18.367810 5.878629614 6.828098e+00
## 7321 73.20 18.289988 5.978973344 7.035795e+00
## 7322 73.21 18.234020 6.089871026 7.250357e+00
## 7323 73.22 18.200916 6.210933901 7.470983e+00
## 7324 73.23 18.191664 6.341727491 7.696735e+00
## 7325 73.24 18.207213 6.481761949 7.926519e+00
## 7326 73.25 18.248452 6.630481627 8.159066e+00
## 7327 73.26 18.316184 6.787254112 8.392921e+00
## 7328 73.27 18.411093 6.951359002 8.626426e+00
## 7329 73.28 18.533716 7.121976785 8.857718e+00
## 7330 73.29 18.684396 7.298178261 9.084720e+00
## 7331 73.30 18.863246 7.478915030 9.305150e+00
## 7332 73.31 19.070098 7.663011650 9.516529e+00
## 7333 73.32 19.304456 7.849160160 9.716208e+00
## 7334 73.33 19.565452 8.035917738 9.901394e+00
## 7335 73.34 19.851798 8.221708257 1.006920e+01
## 7336 73.35 20.161748 8.404828563 1.021671e+01
## 7337 73.36 20.493069 8.583460195 1.034102e+01
## 7338 73.37 20.843020 8.755687207 1.043935e+01
## 7339 73.38 21.208348 8.919520492 1.050913e+01
## 7340 73.39 21.585308 9.072928752 1.054808e+01
## 7341 73.40 21.969700 9.213875934 1.055433e+01
## 7342 73.41 22.356926 9.340364474 1.052649e+01
## 7343 73.42 22.742078 9.450483258 1.046377e+01
## 7344 73.43 23.120042 9.542458706 1.036603e+01
## 7345 73.44 23.485627 9.614706962 1.023385e+01
## 7346 73.45 23.833698 9.665884800 1.006853e+01
## 7347 73.46 24.159327 9.694936658 9.872110e+00
## 7348 73.47 24.457936 9.701135179 9.647317e+00
## 7349 73.48 24.725431 9.684112782 9.397504e+00
## 7350 73.49 24.958324 9.643882237 9.126550e+00
## 7351 73.50 25.153821 9.580844731 8.838737e+00
## 7352 73.51 25.309892 9.495784715 8.538612e+00
## 7353 73.52 25.425296 9.389851586 8.230841e+00
## 7354 73.53 25.499582 9.264529106 7.920060e+00
## 7355 73.54 25.533052 9.121594198 7.610742e+00
## 7356 73.55 25.526700 8.963067291 7.307073e+00
## 7357 73.56 25.482129 8.791157149 7.012856e+00
## 7358 73.57 25.401454 8.608202398 6.731434e+00
## 7359 73.58 25.287192 8.416613022 6.465643e+00
## 7360 73.59 25.142158 8.218814259 6.217796e+00
## 7361 73.60 24.969361 8.017194935 5.989678e+00
## 7362 73.61 24.771912 7.814062188 5.782575e+00
## 7363 73.62 24.552939 7.611603265 5.597311e+00
## 7364 73.63 24.315525 7.411855137 5.434295e+00
## 7365 73.64 24.062647 7.216682155 5.293580e+00
## 7366 73.65 23.797145 7.027761533 5.174923e+00
## 7367 73.66 23.521689 6.846575845 5.077845e+00
## 7368 73.67 23.238771 6.674411806 5.001686e+00
## 7369 73.68 22.950691 6.512364370 4.945659e+00
## 7370 73.69 22.659568 6.361345111 4.908896e+00
## 7371 73.70 22.367343 6.222093894 4.890486e+00
## 7372 73.71 22.075790 6.095192859 4.889510e+00
## 7373 73.72 21.786535 5.981081870 4.905065e+00
## 7374 73.73 21.501070 5.880074664 4.936285e+00
## 7375 73.74 21.220766 5.792375063 4.982353e+00
## 7376 73.75 20.946898 5.718092723 5.042516e+00
## 7377 73.76 20.680653 5.657258017 5.116080e+00
## 7378 73.77 20.423153 5.609835731 5.202419e+00
## 7379 73.78 20.175460 5.575737361 5.300967e+00
## 7380 73.79 19.938599 5.554831853 5.411217e+00
## 7381 73.80 19.713563 5.546954696 5.532708e+00
## 7382 73.81 19.501325 5.551915331 5.665022e+00
## 7383 73.82 19.302847 5.569502865 5.807768e+00
## 7384 73.83 19.119087 5.599490142 5.960569e+00
## 7385 73.84 18.951006 5.641636122 6.123054e+00
## 7386 73.85 18.799571 5.695686693 6.294835e+00
## 7387 73.86 18.665757 5.761373962 6.475499e+00
## 7388 73.87 18.550549 5.838414063 6.664587e+00
## 7389 73.88 18.454938 5.926503566 6.861576e+00
## 7390 73.89 18.379920 6.025314554 7.065866e+00
## 7391 73.90 18.326486 6.134488449 7.276756e+00
## 7392 73.91 18.295613 6.253628683 7.493430e+00
## 7393 73.92 18.288253 6.382292348 7.714936e+00
## 7394 73.93 18.305312 6.519980939 7.940171e+00
## 7395 73.94 18.347632 6.666130413 8.167865e+00
## 7396 73.95 18.415965 6.820100764 8.396564e+00
## 7397 73.96 18.510943 6.981165420 8.624624e+00
## 7398 73.97 18.633043 7.148500820 8.850201e+00
## 7399 73.98 18.782553 7.321176588 9.071250e+00
## 7400 73.99 18.959526 7.498146836 9.285531e+00
## 7401 74.00 19.163739 7.678243170 9.490625e+00
## 7402 74.01 19.394647 7.860170067 9.683951e+00
## 7403 74.02 19.651339 8.042503346 9.862801e+00
## 7404 74.03 19.932497 8.223692476 1.002439e+01
## 7405 74.04 20.236359 8.402067446 1.016590e+01
## 7406 74.05 20.560692 8.575850864 1.028457e+01
## 7407 74.06 20.902780 8.743176119 1.037774e+01
## 7408 74.07 21.259418 8.902111405 1.044297e+01
## 7409 74.08 21.626935 9.050690067 1.047812e+01
## 7410 74.09 22.001233 9.186947027 1.048144e+01
## 7411 74.10 22.377843 9.308960595 1.045167e+01
## 7412 74.11 22.752010 9.414898496 1.038811e+01
## 7413 74.12 23.118798 9.503066617 1.029070e+01
## 7414 74.13 23.473206 9.571958501 1.016004e+01
## 7415 74.14 23.810305 9.620303410 9.997461e+00
## 7416 74.15 24.125370 9.647110468 9.804967e+00
## 7417 74.16 24.414021 9.651706453 9.585223e+00
## 7418 74.17 24.672351 9.633764927 9.341482e+00
## 7419 74.18 24.897033 9.593324873 9.077493e+00
## 7420 74.19 25.085408 9.530797480 8.797381e+00
## 7421 74.20 25.235547 9.446960446 8.505518e+00
## 7422 74.21 25.346273 9.342939887 8.206385e+00
## 7423 74.22 25.417163 9.220180776 7.904434e+00
## 7424 74.23 25.448510 9.080407428 7.603956e+00
## 7425 74.24 25.441270 8.925576151 7.308970e+00
## 7426 74.25 25.396978 8.757822549 7.023131e+00
## 7427 74.26 25.317658 8.579406095 6.749656e+00
## 7428 74.27 25.205723 8.392654584 6.491285e+00
## 7429 74.28 25.063873 8.199910731 6.250256e+00
## 7430 74.29 24.895000 8.003483115 6.028308e+00
## 7431 74.30 24.702096 7.805602807 5.826702e+00
## 7432 74.31 24.488177 7.608386929 5.646260e+00
## 7433 74.32 24.256219 7.413809641 5.487406e+00
## 7434 74.33 24.009106 7.223680638 5.350221e+00
## 7435 74.34 23.749593 7.039630944 5.234502e+00
## 7436 74.35 23.480279 6.863105447 5.139817e+00
## 7437 74.36 23.203594 6.695361389 5.065555e+00
## 7438 74.37 22.921790 6.537471933 5.010981e+00
## 7439 74.38 22.636946 6.390333839 4.975278e+00
## 7440 74.39 22.350970 6.254678303 4.957585e+00
## 7441 74.40 22.065615 6.131084062 4.957025e+00
## 7442 74.41 21.782490 6.019991931 4.972736e+00
## 7443 74.42 21.503072 5.921720066 5.003888e+00
## 7444 74.43 21.228730 5.836479323 5.049692e+00
## 7445 74.44 20.960730 5.764388228 5.109419e+00
## 7446 74.45 20.700261 5.705487154 5.182392e+00
## 7447 74.46 20.448441 5.659751353 5.267998e+00
## 7448 74.47 20.206336 5.627102705 5.365679e+00
## 7449 74.48 19.974970 5.607419995 5.474929e+00
## 7450 74.49 19.755336 5.600547626 5.595286e+00
## 7451 74.50 19.548407 5.606302684 5.726324e+00
## 7452 74.51 19.355143 5.624480398 5.867642e+00
## 7453 74.52 19.176499 5.654857988 6.018851e+00
## 7454 74.53 19.013430 5.697196919 6.179560e+00
## 7455 74.54 18.866893 5.751243630 6.349366e+00
## 7456 74.55 18.737853 5.816728776 6.527831e+00
## 7457 74.56 18.627277 5.893365042 6.714474e+00
## 7458 74.57 18.536139 5.980843616 6.908749e+00
## 7459 74.58 18.465409 6.078829365 7.110028e+00
## 7460 74.59 18.416049 6.186954830 7.317588e+00
## 7461 74.60 18.389001 6.304813121 7.530589e+00
## 7462 74.61 18.385177 6.431949855 7.748058e+00
## 7463 74.62 18.405438 6.567854267 7.968874e+00
## 7464 74.63 18.450571 6.711949709 8.191753e+00
## 7465 74.64 18.521272 6.863583758 8.415233e+00
## 7466 74.65 18.618109 7.022018246 8.637671e+00
## 7467 74.66 18.741491 7.186419543 8.857231e+00
## 7468 74.67 18.891633 7.355849560 9.071889e+00
## 7469 74.68 19.068516 7.529257941 9.279439e+00
## 7470 74.69 19.271842 7.705476041 9.477506e+00
## 7471 74.70 19.500996 7.883213326 9.663573e+00
## 7472 74.71 19.755000 8.061056862 9.835013e+00
## 7473 74.72 20.032479 8.237474625 9.989133e+00
## 7474 74.73 20.331629 8.410823284 1.012323e+01
## 7475 74.74 20.650190 8.579361084 1.023467e+01
## 7476 74.75 20.985438 8.741266307 1.032093e+01
## 7477 74.76 21.334190 8.894661589 1.037973e+01
## 7478 74.77 21.692820 9.037644106 1.040907e+01
## 7479 74.78 22.057307 9.168321315 1.040736e+01
## 7480 74.79 22.423290 9.284851540 1.037350e+01
## 7481 74.80 22.786154 9.385488297 1.030690e+01
## 7482 74.81 23.141129 9.468626836 1.020762e+01
## 7483 74.82 23.483406 9.532851031 1.007636e+01
## 7484 74.83 23.808264 9.576978450 9.914496e+00
## 7485 74.84 24.111198 9.600101346 9.724041e+00
## 7486 74.85 24.388053 9.601621269 9.507640e+00
## 7487 74.86 24.635135 9.581275235 9.268483e+00
## 7488 74.87 24.849317 9.539151753 9.010218e+00
## 7489 74.88 25.028120 9.475695612 8.736837e+00
## 7490 74.89 25.169761 9.391701007 8.452552e+00
## 7491 74.90 25.273175 9.288292851 8.161667e+00
## 7492 74.91 25.338016 9.166897445 7.868442e+00
## 7493 74.92 25.364617 9.029204057 7.576980e+00
## 7494 74.93 25.353934 8.877119364 7.291116e+00
## 7495 74.94 25.307473 8.712717068 7.014331e+00
## 7496 74.95 25.227202 8.538185149 6.749690e+00
## 7497 74.96 25.115454 8.355773194 6.499803e+00
## 7498 74.97 24.974833 8.167741962 6.266801e+00
## 7499 74.98 24.808125 7.976317031 6.052345e+00
## 7500 74.99 24.618211 7.783647936 5.857641e+00
## 7501 75.00 24.407996 7.591774063 5.683477e+00
## 7502 75.01 24.180349 7.402597251 5.530267e+00
## 7503 75.02 23.938054 7.217861503 5.398099e+00
## 7504 75.03 23.683772 7.039139622 5.286789e+00
## 7505 75.04 23.420021 6.867826267 5.195934e+00
## 7506 75.05 23.149158 6.705136535 5.124964e+00
## 7507 75.06 22.873374 6.552109324 5.073186e+00
## 7508 75.07 22.594694 6.409614581 5.039827e+00
## 7509 75.08 22.314987 6.278363533 5.024070e+00
## 7510 75.09 22.035969 6.158921058 5.025083e+00
## 7511 75.10 21.759223 6.051719416 5.042045e+00
## 7512 75.11 21.486206 5.957072673 5.074160e+00
## 7513 75.12 21.218268 5.875191228 5.120674e+00
## 7514 75.13 20.956668 5.806195959 5.180881e+00
## 7515 75.14 20.702585 5.750131643 5.254128e+00
## 7516 75.15 20.457131 5.706979299 5.339816e+00
## 7517 75.16 20.221368 5.676667304 5.437399e+00
## 7518 75.17 19.996319 5.659081080 5.546376e+00
## 7519 75.18 19.782972 5.654071288 5.666285e+00
## 7520 75.19 19.582299 5.661460478 5.796697e+00
## 7521 75.20 19.395255 5.681048186 5.937200e+00
## 7522 75.21 19.222791 5.712614467 6.087393e+00
## 7523 75.22 19.065854 5.755921912 6.246869e+00
## 7524 75.23 18.925392 5.810716185 6.415202e+00
## 7525 75.24 18.802355 5.876725139 6.591932e+00
## 7526 75.25 18.697697 5.953656560 6.776552e+00
## 7527 75.26 18.612367 6.041194564 6.968486e+00
## 7528 75.27 18.547310 6.138994857 7.167079e+00
## 7529 75.28 18.503457 6.246678839 7.371576e+00
## 7530 75.29 18.481712 6.363826657 7.581106e+00
## 7531 75.30 18.482943 6.489969380 7.794668e+00
## 7532 75.31 18.507957 6.624580454 8.011116e+00
## 7533 75.32 18.557485 6.767066626 8.229141e+00
## 7534 75.33 18.632156 6.916758589 8.447267e+00
## 7535 75.34 18.732465 7.072901651 8.663840e+00
## 7536 75.35 18.858741 7.234646793 8.877026e+00
## 7537 75.36 19.011114 7.401042542 9.084811e+00
## 7538 75.37 19.189476 7.571028169 9.285014e+00
## 7539 75.38 19.393438 7.743428756 9.475302e+00
## 7540 75.39 19.622293 7.916952771 9.653214e+00
## 7541 75.40 19.874979 8.090192781 9.816199e+00
## 7542 75.41 20.150040 8.261629958 9.961662e+00
## 7543 75.42 20.445605 8.429643016 1.008702e+01
## 7544 75.43 20.759363 8.592522093 1.018976e+01
## 7545 75.44 21.088562 8.748487983 1.026752e+01
## 7546 75.45 21.430013 8.895716912 1.031819e+01
## 7547 75.46 21.780118 9.032370772 1.033994e+01
## 7548 75.47 22.134914 9.156632418 1.033136e+01
## 7549 75.48 22.490134 9.266745266 1.029151e+01
## 7550 75.49 22.841294 9.361056039 1.021999e+01
## 7551 75.50 23.183785 9.438059149 1.011699e+01
## 7552 75.51 23.512992 9.496440897 9.983338e+00
## 7553 75.52 23.824412 9.535121426 9.820483e+00
## 7554 75.53 24.113775 9.553292292 9.630502e+00
## 7555 75.54 24.377170 9.550447568 9.416041e+00
## 7556 75.55 24.611145 9.526406601 9.180256e+00
## 7557 75.56 24.812808 9.481326969 8.926716e+00
## 7558 75.57 24.979891 9.415706668 8.659297e+00
## 7559 75.58 25.110797 9.330375210 8.382062e+00
## 7560 75.59 25.204615 9.226473928 8.099140e+00
## 7561 75.60 25.261113 9.105426483 7.814599e+00
## 7562 75.61 25.280699 8.968901015 7.532342e+00
## 7563 75.62 25.264368 8.818766152 7.256005e+00
## 7564 75.63 25.213626 8.657042540 6.988878e+00
## 7565 75.64 25.130409 8.485852652 6.733851e+00
## 7566 75.65 25.016992 8.307371004 6.493377e+00
## 7567 75.66 24.875902 8.123776711 6.269457e+00
## 7568 75.67 24.709827 7.937210224 6.063645e+00
## 7569 75.68 24.521546 7.749735334 5.877066e+00
## 7570 75.69 24.313855 7.563307265 5.710454e+00
## 7571 75.70 24.089515 7.379747411 5.564188e+00
## 7572 75.71 23.851203 7.200724847 5.438342e+00
## 7573 75.72 23.601483 7.027744206 5.332738e+00
## 7574 75.73 23.342784 6.862139475 5.246988e+00
## 7575 75.74 23.077379 6.705072992 5.180550e+00
## 7576 75.75 22.807390 6.557538897 5.132766e+00
## 7577 75.76 22.534781 6.420370176 5.102902e+00
## 7578 75.77 22.261366 6.294248464 5.090183e+00
## 7579 75.78 21.988821 6.179715812 5.093818e+00
## 7580 75.79 21.718691 6.077187704 5.113025e+00
## 7581 75.80 21.452406 5.986966686 5.147046e+00
## 7582 75.81 21.191294 5.909256078 5.195159e+00
## 7583 75.82 20.936594 5.844173298 5.256687e+00
## 7584 75.83 20.689472 5.791762470 5.331001e+00
## 7585 75.84 20.451032 5.752006018 5.417522e+00
## 7586 75.85 20.222327 5.724835059 5.515714e+00
## 7587 75.86 20.004372 5.710138449 5.625084e+00
## 7588 75.87 19.798152 5.707770394 5.745173e+00
## 7589 75.88 19.604632 5.717556583 5.875547e+00
## 7590 75.89 19.424762 5.739298817 6.015788e+00
## 7591 75.90 19.259486 5.772778160 6.165479e+00
## 7592 75.91 19.109741 5.817756620 6.324197e+00
## 7593 75.92 18.976464 5.873977419 6.491492e+00
## 7594 75.93 18.860592 5.941163888 6.666881e+00
## 7595 75.94 18.763057 6.019017062 6.849823e+00
## 7596 75.95 18.684787 6.107212033 7.039714e+00
## 7597 75.96 18.626698 6.205393152 7.235861e+00
## 7598 75.97 18.589685 6.313168168 7.437476e+00
## 7599 75.98 18.574610 6.430101453 7.643650e+00
## 7600 75.99 18.582290 6.555706384 7.853348e+00
## 7601 76.00 18.613477 6.689437112 8.065389e+00
## 7602 76.01 18.668834 6.830679928 8.278436e+00
## 7603 76.02 18.748915 6.978744457 8.490988e+00
## 7604 76.03 18.854131 7.132855018 8.701375e+00
## 7605 76.04 18.984722 7.292142502 8.907756e+00
## 7606 76.05 19.140717 7.455637214 9.108124e+00
## 7607 76.06 19.321905 7.622263169 9.300318e+00
## 7608 76.07 19.527789 7.790834388 9.482041e+00
## 7609 76.08 19.757555 7.960053761 9.650890e+00
## 7610 76.09 20.010033 8.128515258 9.804392e+00
## 7611 76.10 20.283672 8.294709800 9.940051e+00
## 7612 76.11 20.576512 8.457035500 1.005541e+01
## 7613 76.12 20.886173 8.613812773 1.014809e+01
## 7614 76.13 21.209854 8.763304569 1.021591e+01
## 7615 76.14 21.544348 8.903741794 1.025692e+01
## 7616 76.15 21.886069 9.033353755 1.026951e+01
## 7617 76.16 22.231100 9.150403152 1.025245e+01
## 7618 76.17 22.575262 9.253224758 1.020501e+01
## 7619 76.18 22.914197 9.340266608 1.012698e+01
## 7620 76.19 23.243462 9.410132179 1.001872e+01
## 7621 76.20 23.558640 9.461621772 9.881210e+00
## 7622 76.21 23.855457 9.493771156 9.716009e+00
## 7623 76.22 24.129895 9.505885462 9.525268e+00
## 7624 76.23 24.378306 9.497566440 9.311665e+00
## 7625 76.24 24.597508 9.468731430 9.078337e+00
## 7626 76.25 24.784866 9.419622806 8.828791e+00
## 7627 76.26 24.938357 9.350807160 8.566796e+00
## 7628 76.27 25.056598 9.263164075 8.296271e+00
## 7629 76.28 25.138865 9.157864954 8.021170e+00
## 7630 76.29 25.185069 9.036342940 7.745367e+00
## 7631 76.30 25.195723 8.900255402 7.472554e+00
## 7632 76.31 25.171886 8.751441118 7.206155e+00
## 7633 76.32 25.115088 8.591873748 6.949255e+00
## 7634 76.33 25.027255 8.423614154 6.704550e+00
## 7635 76.34 24.910620 8.248763523 6.474316e+00
## 7636 76.35 24.767640 8.069419037 6.260403e+00
## 7637 76.36 24.600920 7.887633753 6.064238e+00
## 7638 76.37 24.413139 7.705381585 5.886847e+00
## 7639 76.38 24.206988 7.524528139 5.728887e+00
## 7640 76.39 23.985116 7.346807814 5.590688e+00
## 7641 76.40 23.750096 7.173807268 5.472297e+00
## 7642 76.41 23.504388 7.006954798 5.373524e+00
## 7643 76.42 23.250323 6.847515198 5.293989e+00
## 7644 76.43 22.990089 6.696589410 5.233167e+00
## 7645 76.44 22.725728 6.555118264 5.190429e+00
## 7646 76.45 22.459136 6.423889479 5.165075e+00
## 7647 76.46 22.192068 6.303547176 5.156367e+00
## 7648 76.47 21.926148 6.194603146 5.163554e+00
## 7649 76.48 21.662879 6.097449222 5.185892e+00
## 7650 76.49 21.403657 6.012370159 5.222661e+00
## 7651 76.50 21.149781 5.939556532 5.273172e+00
## 7652 76.51 20.902468 5.879117242 5.336779e+00
## 7653 76.52 20.662865 5.831091284 5.412876e+00
## 7654 76.53 20.432062 5.795458546 5.500902e+00
## 7655 76.54 20.211101 5.772149433 5.600338e+00
## 7656 76.55 20.000986 5.761053208 5.710698e+00
## 7657 76.56 19.802696 5.762024944 5.831525e+00
## 7658 76.57 19.617187 5.774891069 5.962383e+00
## 7659 76.58 19.445401 5.799453468 6.102843e+00
## 7660 76.59 19.288272 5.835492162 6.252476e+00
## 7661 76.60 19.146727 5.882766601 6.410837e+00
## 7662 76.61 19.021689 5.941015590 6.577454e+00
## 7663 76.62 18.914077 6.009955912 6.751812e+00
## 7664 76.63 18.824803 6.089279726 6.933340e+00
## 7665 76.64 18.754766 6.178650777 7.121396e+00
## 7666 76.65 18.704851 6.277699543 7.315250e+00
## 7667 76.66 18.675912 6.386017399 7.514069e+00
## 7668 76.67 18.668766 6.503149949 7.716905e+00
## 7669 76.68 18.684171 6.628589629 7.922682e+00
## 7670 76.69 18.722815 6.761767804 8.130178e+00
## 7671 76.70 18.785286 6.902046590 8.338022e+00
## 7672 76.71 18.872054 7.048710649 8.544683e+00
## 7673 76.72 18.983434 7.200959284 8.748471e+00
## 7674 76.73 19.119563 7.357899234 8.947533e+00
## 7675 76.74 19.280359 7.518538576 9.139866e+00
## 7676 76.75 19.465490 7.681782248 9.323327e+00
## 7677 76.76 19.674337 7.846429710 9.495657e+00
## 7678 76.77 19.905962 8.011175290 9.654513e+00
## 7679 76.78 20.159074 8.174611959 9.797504e+00
## 7680 76.79 20.432007 8.335238771 9.922242e+00
## 7681 76.80 20.722698 8.491472628 1.002640e+01
## 7682 76.81 21.028686 8.641664754 1.010776e+01
## 7683 76.82 21.347107 8.784122053 1.016432e+01
## 7684 76.83 21.674726 8.917133289 1.019433e+01
## 7685 76.84 22.007959 9.038999815 1.019638e+01
## 7686 76.85 22.342937 9.148070278 1.016948e+01
## 7687 76.86 22.675566 9.242778355 1.011312e+01
## 7688 76.87 23.001616 9.321682301 1.002729e+01
## 7689 76.88 23.316816 9.383504781 9.912553e+00
## 7690 76.89 23.616962 9.427171249 9.770053e+00
## 7691 76.90 23.898021 9.451845030 9.601488e+00
## 7692 76.91 24.156244 9.456957243 9.409095e+00
## 7693 76.92 24.388267 9.442229947 9.195595e+00
## 7694 76.93 24.591196 9.407691070 8.964119e+00
## 7695 76.94 24.762681 9.353680014 8.718116e+00
## 7696 76.95 24.900964 9.280843501 8.461253e+00
## 7697 76.96 25.004904 9.190121769 8.197305e+00
## 7698 76.97 25.073982 9.082725694 7.930048e+00
## 7699 76.98 25.108276 8.960105938 7.663153e+00
## 7700 76.99 25.108427 8.823915674 7.400095e+00
## 7701 77.00 25.075573 8.675968708 7.144075e+00
## 7702 77.01 25.011286 8.518194988 6.897957e+00
## 7703 77.02 24.917494 8.352595464 6.664229e+00
## 7704 77.03 24.796398 8.181198172 6.444980e+00
## 7705 77.04 24.650398 8.006017142 6.241890e+00
## 7706 77.05 24.482019 7.829015446 6.056244e+00
## 7707 77.06 24.293844 7.652073331 5.888955e+00
## 7708 77.07 24.088459 7.476962015 5.740591e+00
## 7709 77.08 23.868406 7.305323403 5.611419e+00
## 7710 77.09 23.636147 7.138655633 5.501446e+00
## 7711 77.10 23.394036 6.978304159 5.410464e+00
## 7712 77.11 23.144304 6.825457844 5.338091e+00
## 7713 77.12 22.889047 6.681149441 5.283814e+00
## 7714 77.13 22.630224 6.546259745 5.247025e+00
## 7715 77.14 22.369655 6.421524676 5.227056e+00
## 7716 77.15 22.109031 6.307544588 5.223202e+00
## 7717 77.16 21.849922 6.204795108 5.234750e+00
## 7718 77.17 21.593781 6.113638910 5.260994e+00
## 7719 77.18 21.341966 6.034337877 5.301249e+00
## 7720 77.19 21.095742 5.967065202 5.354860e+00
## 7721 77.20 20.856301 5.911917049 5.421208e+00
## 7722 77.21 20.624766 5.868923492 5.499716e+00
## 7723 77.22 20.402211 5.838058439 5.589841e+00
## 7724 77.23 20.189661 5.819248471 5.691077e+00
## 7725 77.24 19.988110 5.812380426 5.802946e+00
## 7726 77.25 19.798525 5.817307660 5.924994e+00
## 7727 77.26 19.621852 5.833854924 6.056780e+00
## 7728 77.27 19.459023 5.861821892 6.197864e+00
## 7729 77.28 19.310959 5.900985318 6.347803e+00
## 7730 77.29 19.178574 5.951099870 6.506128e+00
## 7731 77.30 19.062775 6.011897691 6.672340e+00
## 7732 77.31 18.964459 6.083086699 6.845893e+00
## 7733 77.32 18.884513 6.164347721 7.026179e+00
## 7734 77.33 18.823807 6.255330558 7.212514e+00
## 7735 77.34 18.783187 6.355649045 7.404124e+00
## 7736 77.35 18.763461 6.464875230 7.600132e+00
## 7737 77.36 18.765391 6.582532801 7.799543e+00
## 7738 77.37 18.789674 6.708089939 8.001233e+00
## 7739 77.38 18.836922 6.840951776 8.203938e+00
## 7740 77.39 18.907641 6.980452712 8.406247e+00
## 7741 77.40 19.002202 7.125848872 8.606597e+00
## 7742 77.41 19.120817 7.276311031 8.803272e+00
## 7743 77.42 19.263503 7.430918412 8.994409e+00
## 7744 77.43 19.430054 7.588653774 9.178008e+00
## 7745 77.44 19.620006 7.748400289 9.351946e+00
## 7746 77.45 19.832603 7.908940713 9.514008e+00
## 7747 77.46 20.066767 8.068959371 9.661915e+00
## 7748 77.47 20.321072 8.227047638 9.793368e+00
## 7749 77.48 20.593725 8.381713091 9.906095e+00
## 7750 77.49 20.882552 8.531392924 9.997912e+00
## 7751 77.50 21.184997 8.674471883 1.006679e+01
## 7752 77.51 21.498131 8.809304818 1.011090e+01
## 7753 77.52 21.818685 8.934243631 1.012872e+01
## 7754 77.53 22.143080 9.047668270 1.011908e+01
## 7755 77.54 22.467493 9.148021054 1.008123e+01
## 7756 77.55 22.787924 9.233843335 1.001487e+01
## 7757 77.56 23.100283 9.303813217 9.920261e+00
## 7758 77.57 23.400483 9.356782810 9.798158e+00
## 7759 77.58 23.684543 9.391813360 9.649882e+00
## 7760 77.59 23.948693 9.408206492 9.477278e+00
## 7761 77.60 24.189470 9.405529924 9.282681e+00
## 7762 77.61 24.403812 9.383636206 9.068860e+00
## 7763 77.62 24.589135 9.342673326 8.838939e+00
## 7764 77.63 24.743388 9.283086292 8.596311e+00
## 7765 77.64 24.865099 9.205609532 8.344537e+00
## 7766 77.65 24.953384 9.111250396 8.087242e+00
## 7767 77.66 25.007945 9.001264500 7.828018e+00
## 7768 77.67 25.029044 8.877124082 7.570324e+00
## 7769 77.68 25.017455 8.740480930 7.317410e+00
## 7770 77.69 24.974413 8.593125645 7.072243e+00
## 7771 77.70 24.901538 8.436945100 6.837458e+00
## 7772 77.71 24.800767 8.273879903 6.615324e+00
## 7773 77.72 24.674277 8.105883542 6.407730e+00
## 7774 77.73 24.524415 7.934884602 6.216179e+00
## 7775 77.74 24.353628 7.762753192 6.041804e+00
## 7776 77.75 24.164407 7.591272347 5.885393e+00
## 7777 77.76 23.959234 7.422114850 5.747419e+00
## 7778 77.77 23.740541 7.256825608 5.628077e+00
## 7779 77.78 23.510680 7.096809457 5.527329e+00
## 7780 77.79 23.271897 6.943324035 5.444940e+00
## 7781 77.80 23.026320 6.797477216 5.380522e+00
## 7782 77.81 22.775951 6.660228486 5.333567e+00
## 7783 77.82 22.522661 6.532393599 5.303487e+00
## 7784 77.83 22.268193 6.414651805 5.289640e+00
## 7785 77.84 22.014169 6.307555008 5.291354e+00
## 7786 77.85 21.762099 6.211538221 5.307950e+00
## 7787 77.86 21.513387 6.126930764 5.338759e+00
## 7788 77.87 21.269345 6.053967720 5.383130e+00
## 7789 77.88 21.031205 5.992801235 5.440441e+00
## 7790 77.89 20.800127 5.943511339 5.510102e+00
## 7791 77.90 20.577210 5.906116013 5.591559e+00
## 7792 77.91 20.363506 5.880580253 5.684288e+00
## 7793 77.92 20.160026 5.866824077 5.787795e+00
## 7794 77.93 19.967746 5.864729313 5.901611e+00
## 7795 77.94 19.787620 5.874145114 6.025280e+00
## 7796 77.95 19.620582 5.894892152 6.158356e+00
## 7797 77.96 19.467550 5.926765515 6.300387e+00
## 7798 77.97 19.329432 5.969536315 6.450910e+00
## 7799 77.98 19.207123 6.022952019 6.609432e+00
## 7800 77.99 19.101511 6.086735608 6.775423e+00
## 7801 78.00 19.013469 6.160583516 6.948300e+00
## 7802 78.01 18.943853 6.244162513 7.127415e+00
## 7803 78.02 18.893498 6.337105586 7.312039e+00
## 7804 78.03 18.863204 6.439006916 7.501351e+00
## 7805 78.04 18.853729 6.549416076 7.694421e+00
## 7806 78.05 18.865773 6.667831600 7.890206e+00
## 7807 78.06 18.899959 6.793694094 8.087530e+00
## 7808 78.07 18.956817 6.926379113 8.285083e+00
## 7809 78.08 19.036756 7.065190048 8.481413e+00
## 7810 78.09 19.140040 7.209351330 8.674920e+00
## 7811 78.10 19.266763 7.358002289 8.863868e+00
## 7812 78.11 19.416813 7.510192071 9.046381e+00
## 7813 78.12 19.589844 7.664876050 9.220466e+00
## 7814 78.13 19.785245 7.820914198 9.384028e+00
## 7815 78.14 20.002110 7.977071910 9.534901e+00
## 7816 78.15 20.239212 8.132023760 9.670881e+00
## 7817 78.16 20.494980 8.284360825 9.789773e+00
## 7818 78.17 20.767483 8.432601658 9.889438e+00
## 7819 78.18 21.054429 8.575207410 9.967854e+00
## 7820 78.19 21.353166 8.710601274 1.002318e+01
## 7821 78.20 21.660700 8.837192203 1.005380e+01
## 7822 78.21 21.973728 8.953402559 1.005844e+01
## 7823 78.22 22.288686 9.057699229 1.003617e+01
## 7824 78.23 22.601808 9.148627393 9.986484e+00
## 7825 78.24 22.909198 9.224845870 9.909367e+00
## 7826 78.25 23.206921 9.285162728 9.805293e+00
## 7827 78.26 23.491093 9.328569670 9.675252e+00
## 7828 78.27 23.757977 9.354273596 9.520748e+00
## 7829 78.28 24.004081 9.361723743 9.343771e+00
## 7830 78.29 24.226247 9.350632913 9.146753e+00
## 7831 78.30 24.421735 9.320991609 8.932506e+00
## 7832 78.31 24.588282 9.273074170 8.704143e+00
## 7833 78.32 24.724156 9.207436252 8.464993e+00
## 7834 78.33 24.828179 9.124903755 8.218500e+00
## 7835 78.34 24.899734 9.026553678 7.968133e+00
## 7836 78.35 24.938754 8.913687764 7.717288e+00
## 7837 78.36 24.945688 8.787800182 7.469206e+00
## 7838 78.37 24.921453 8.650540794 7.226898e+00
## 7839 78.38 24.867380 8.503675703 6.993093e+00
## 7840 78.39 24.785141 8.349046798 6.770187e+00
## 7841 78.40 24.676686 8.188531953 6.560226e+00
## 7842 78.41 24.544169 8.024007333 6.364891e+00
## 7843 78.42 24.389884 7.857313022 6.185502e+00
## 7844 78.43 24.216202 7.690222903 6.023037e+00
## 7845 78.44 24.025522 7.524419392 5.878154e+00
## 7846 78.45 23.820221 7.361473326 5.751225e+00
## 7847 78.46 23.602622 7.202829057 5.642371e+00
## 7848 78.47 23.374966 7.049794534 5.551504e+00
## 7849 78.48 23.139391 6.903536005 5.478360e+00
## 7850 78.49 22.897922 6.765076813 5.422538e+00
## 7851 78.50 22.652461 6.635299696 5.383539e+00
## 7852 78.51 22.404793 6.514951958 5.360788e+00
## 7853 78.52 22.156580 6.404652867 5.353667e+00
## 7854 78.53 21.909375 6.304902677 5.361535e+00
## 7855 78.54 21.664625 6.216092698 5.383747e+00
## 7856 78.55 21.423682 6.138515932 5.419667e+00
## 7857 78.56 21.187812 6.072377816 5.468677e+00
## 7858 78.57 20.958209 6.017806726 5.530187e+00
## 7859 78.58 20.735999 5.974863935 5.603633e+00
## 7860 78.59 20.522257 5.943552801 5.688483e+00
## 7861 78.60 20.318011 5.923826953 5.784231e+00
## 7862 78.61 20.124250 5.915597443 5.890393e+00
## 7863 78.62 19.941937 5.918738710 6.006505e+00
## 7864 78.63 19.772008 5.933093332 6.132109e+00
## 7865 78.64 19.615381 5.958475498 6.266749e+00
## 7866 78.65 19.472958 5.994673266 6.409960e+00
## 7867 78.66 19.345630 6.041449576 6.561253e+00
## 7868 78.67 19.234271 6.098542083 6.720108e+00
## 7869 78.68 19.139744 6.165661869 6.885962e+00
## 7870 78.69 19.062893 6.242491038 7.058191e+00
## 7871 78.70 19.004539 6.328679328 7.236101e+00
## 7872 78.71 18.965474 6.423839821 7.418915e+00
## 7873 78.72 18.946448 6.527543853 7.605757e+00
## 7874 78.73 18.948157 6.639315262 7.795648e+00
## 7875 78.74 18.971231 6.758624140 7.987487e+00
## 7876 78.75 19.016211 6.884880274 8.180046e+00
## 7877 78.76 19.083530 7.017426502 8.371968e+00
## 7878 78.77 19.173492 7.155532276 8.561757e+00
## 7879 78.78 19.286242 7.298387716 8.747782e+00
## 7880 78.79 19.421740 7.445098524 8.928283e+00
## 7881 78.80 19.579731 7.594682170 9.101382e+00
## 7882 78.81 19.759720 7.746065752 9.265098e+00
## 7883 78.82 19.960936 7.898086013 9.417372e+00
## 7884 78.83 20.182313 8.049491955 9.556100e+00
## 7885 78.84 20.422464 8.198950494 9.679168e+00
## 7886 78.85 20.679664 8.345055716 9.784497e+00
## 7887 78.86 20.951844 8.486341721 9.870102e+00
## 7888 78.87 21.236592 8.621299485 9.934138e+00
## 7889 78.88 21.531161 8.748397753 9.974972e+00
## 7890 78.89 21.832498 8.866107817 9.991234e+00
## 7891 78.90 22.137281 8.972931701 9.981885e+00
## 7892 78.91 22.441969 9.067433162 9.946268e+00
## 7893 78.92 22.742869 9.148270612 9.884157e+00
## 7894 78.93 23.036214 9.214230813 9.795790e+00
## 7895 78.94 23.318241 9.264262038 9.681891e+00
## 7896 78.95 23.585291 9.297505227 9.543672e+00
## 7897 78.96 23.833889 9.313321664 9.382822e+00
## 7898 78.97 24.060845 9.311315716 9.201469e+00
## 7899 78.98 24.263322 9.291351386 9.002134e+00
## 7900 78.99 24.438915 9.253561694 8.787662e+00
## 7901 79.00 24.585699 9.198350305 8.561141e+00
## 7902 79.01 24.702264 9.126384945 8.325823e+00
## 7903 79.02 24.787734 9.038582978 8.085023e+00
## 7904 79.03 24.841765 8.936089794 7.842037e+00
## 7905 79.04 24.864518 8.820250976 7.600057e+00
## 7906 79.05 24.856631 8.692579547 7.362093e+00
## 7907 79.06 24.819160 8.554719829 7.130915e+00
## 7908 79.07 24.753530 8.408409488 6.909002e+00
## 7909 79.08 24.661464 8.255441374 6.698510e+00
## 7910 79.09 24.544921 8.097626601 6.501258e+00
## 7911 79.10 24.406029 7.936760138 6.318716e+00
## 7912 79.11 24.247028 7.774589919 6.152022e+00
## 7913 79.12 24.070213 7.612790219 6.001996e+00
## 7914 79.13 23.877888 7.452939719 5.869167e+00
## 7915 79.14 23.672326 7.296504469 5.753806e+00
## 7916 79.15 23.455742 7.144825654 5.655961e+00
## 7917 79.16 23.230265 6.999111932 5.575489e+00
## 7918 79.17 22.997923 6.860435922 5.512098e+00
## 7919 79.18 22.760638 6.729734324 5.465378e+00
## 7920 79.19 22.520217 6.607811118 5.434829e+00
## 7921 79.20 22.278353 6.495343217 5.419894e+00
## 7922 79.21 22.036630 6.392888011 5.419976e+00
## 7923 79.22 21.796529 6.300892229 5.434463e+00
## 7924 79.23 21.559434 6.219701624 5.462742e+00
## 7925 79.24 21.326644 6.149571014 5.504207e+00
## 7926 79.25 21.099378 6.090674318 5.558274e+00
## 7927 79.26 20.878790 6.043114241 5.624379e+00
## 7928 79.27 20.665974 6.006931364 5.701986e+00
## 7929 79.28 20.461975 5.982112440 5.790579e+00
## 7930 79.29 20.267795 5.968597692 5.889668e+00
## 7931 79.30 20.084405 5.966287087 5.998778e+00
## 7932 79.31 19.912745 5.975045481 6.117444e+00
## 7933 79.32 19.753735 5.994706576 6.245205e+00
## 7934 79.33 19.608273 6.025075671 6.381590e+00
## 7935 79.34 19.477243 6.065931256 6.526115e+00
## 7936 79.35 19.361513 6.117025438 6.678267e+00
## 7937 79.36 19.261933 6.178083256 6.837493e+00
## 7938 79.37 19.179336 6.248800960 7.003188e+00
## 7939 79.38 19.114531 6.328843259 7.174686e+00
## 7940 79.39 19.068297 6.417839684 7.351243e+00
## 7941 79.40 19.041376 6.515380152 7.532029e+00
## 7942 79.41 19.034458 6.621009853 7.716114e+00
## 7943 79.42 19.048171 6.734223598 7.902459e+00
## 7944 79.43 19.083062 6.854459822 8.089909e+00
## 7945 79.44 19.139578 6.981094430 8.277184e+00
## 7946 79.45 19.218047 7.113434753 8.462875e+00
## 7947 79.46 19.318652 7.250713884 8.645447e+00
## 7948 79.47 19.441405 7.392085717 8.823241e+00
## 7949 79.48 19.586123 7.536621070 8.994481e+00
## 7950 79.49 19.752395 7.683305262 9.157293e+00
## 7951 79.50 19.939562 7.831037589 9.309720e+00
## 7952 79.51 20.146686 7.978633120 9.449752e+00
## 7953 79.52 20.372531 8.124827222 9.575360e+00
## 7954 79.53 20.615543 8.268283203 9.684538e+00
## 7955 79.54 20.873844 8.407603551 9.775347e+00
## 7956 79.55 21.145226 8.541344663 9.845968e+00
## 7957 79.56 21.427160 8.668035364 9.894761e+00
## 7958 79.57 21.716816 8.786199136 9.920317e+00
## 7959 79.58 22.011093 8.894379752 9.921523e+00
## 7960 79.59 22.306665 8.991169717 9.897607e+00
## 7961 79.60 22.600039 9.075240831 9.848192e+00
## 7962 79.61 22.887616 9.145375881 9.773330e+00
## 7963 79.62 23.165779 9.200500288 9.673527e+00
## 7964 79.63 23.430966 9.239712401 9.549755e+00
## 7965 79.64 23.679762 9.262311053 9.403443e+00
## 7966 79.65 23.908982 9.267819028 9.236453e+00
## 7967 79.66 24.115752 9.256001160 9.051041e+00
## 7968 79.67 24.297575 9.226876052 8.849798e+00
## 7969 79.68 24.452391 9.180720681 8.635583e+00
## 7970 79.69 24.578619 9.118067574 8.411445e+00
## 7971 79.70 24.675178 9.039694344 8.180535e+00
## 7972 79.71 24.741492 8.946606162 7.946025e+00
## 7973 79.72 24.777484 8.840011992 7.711024e+00
## 7974 79.73 24.783540 8.721295619 7.478506e+00
## 7975 79.74 24.760478 8.591982818 7.251244e+00
## 7976 79.75 24.709486 8.453706111 7.031756e+00
## 7977 79.76 24.632076 8.308168605 6.822271e+00
## 7978 79.77 24.530013 8.157108349 6.624704e+00
## 7979 79.78 24.405258 8.002264461 6.440643e+00
## 7980 79.79 24.259910 7.845346103 6.271355e+00
## 7981 79.80 24.096151 7.688005126 6.117796e+00
## 7982 79.81 23.916195 7.531812924 5.980632e+00
## 7983 79.82 23.722252 7.378241808 5.860266e+00
## 7984 79.83 23.516492 7.228650949 5.756870e+00
## 7985 79.84 23.301016 7.084276747 5.670419e+00
## 7986 79.85 23.077845 6.946227321 5.600725e+00
## 7987 79.86 22.848900 6.815480691 5.547464e+00
## 7988 79.87 22.615998 6.692886141 5.510217e+00
## 7989 79.88 22.380851 6.579168221 5.488487e+00
## 7990 79.89 22.145064 6.474932830 5.481729e+00
## 7991 79.90 21.910143 6.380674842 5.489371e+00
## 7992 79.91 21.677496 6.296786770 5.510826e+00
## 7993 79.92 21.448447 6.223568014 5.545511e+00
## 7994 79.93 21.224239 6.161234307 5.592851e+00
## 7995 79.94 21.006045 6.109927001 5.652289e+00
## 7996 79.95 20.794979 6.069721928 5.723288e+00
## 7997 79.96 20.592100 6.040637615 5.805332e+00
## 7998 79.97 20.398423 6.022642678 5.897924e+00
## 7999 79.98 20.214926 6.015662217 6.000583e+00
## 8000 79.99 20.042554 6.019583227 6.112838e+00
## 8001 80.00 19.882227 6.034258902 6.234222e+00
## 8002 80.01 19.734843 6.059511802 6.364263e+00
## 8003 80.02 19.601279 6.095135890 6.502477e+00
## 8004 80.03 19.482394 6.140897456 6.648352e+00
## 8005 80.04 19.379032 6.196534971 6.801346e+00
## 8006 80.05 19.292012 6.261757893 6.960869e+00
## 8007 80.06 19.222131 6.336244517 7.126273e+00
## 8008 80.07 19.170158 6.419638917 7.296842e+00
## 8009 80.08 19.136821 6.511547103 7.471781e+00
## 8010 80.09 19.122802 6.611532479 7.650200e+00
## 8011 80.10 19.128725 6.719110769 7.831114e+00
## 8012 80.11 19.155134 6.833744540 8.013424e+00
## 8013 80.12 19.202486 6.954837550 8.195918e+00
## 8014 80.13 19.271121 7.081729115 8.377263e+00
## 8015 80.14 19.361247 7.213688770 8.556007e+00
## 8016 80.15 19.472916 7.349911527 8.730577e+00
## 8017 80.16 19.605994 7.489514051 8.899292e+00
## 8018 80.17 19.760139 7.631532126 9.060372e+00
## 8019 80.18 19.934777 7.774919794 9.211955e+00
## 8020 80.19 20.129072 7.918550585 9.352124e+00
## 8021 80.20 20.341912 8.061221210 9.478936e+00
## 8022 80.21 20.571885 8.201658104 9.590456e+00
## 8023 80.22 20.817272 8.338527136 9.684805e+00
## 8024 80.23 21.076041 8.470446709 9.760203e+00
## 8025 80.24 21.345852 8.596004364 9.815025e+00
## 8026 80.25 21.624072 8.713776865 9.847851e+00
## 8027 80.26 21.907801 8.822353530 9.857521e+00
## 8028 80.27 22.193911 8.920362334 9.843190e+00
## 8029 80.28 22.479096 9.006498304 9.804371e+00
## 8030 80.29 22.759933 9.079553227 9.740972e+00
## 8031 80.30 23.032949 9.138445658 9.653329e+00
## 8032 80.31 23.294703 9.182250050 9.542214e+00
## 8033 80.32 23.541860 9.210223758 9.408839e+00
## 8034 80.33 23.771279 9.221830624 9.254835e+00
## 8035 80.34 23.980082 9.216759934 9.082223e+00
## 8036 80.35 24.165730 9.194939720 8.893364e+00
## 8037 80.36 24.326077 9.156543625 8.690899e+00
## 8038 80.37 24.459419 9.101990855 8.477678e+00
## 8039 80.38 24.564518 9.031938755 8.256682e+00
## 8040 80.39 24.640617 8.947268987 8.030944e+00
## 8041 80.40 24.687436 8.849067397 7.803473e+00
## 8042 80.41 24.705155 8.738598491 7.577176e+00
## 8043 80.42 24.694373 8.617275695 7.354797e+00
## 8044 80.43 24.656074 8.486628877 7.138863e+00
## 8045 80.44 24.591567 8.348270388 6.931639e+00
## 8046 80.45 24.502435 8.203861006 6.735103e+00
## 8047 80.46 24.390476 8.055077030 6.550928e+00
## 8048 80.47 24.257647 7.903579608 6.380481e+00
## 8049 80.48 24.106008 7.750987179 6.224827e+00
## 8050 80.49 23.937675 7.598851632 6.084746e+00
## 8051 80.50 23.754783 7.448638611 5.960759e+00
## 8052 80.51 23.559442 7.301712083 5.853148e+00
## 8053 80.52 23.353717 7.159323155 5.761994e+00
## 8054 80.53 23.139602 7.022602831 5.687204e+00
## 8055 80.54 22.919006 6.892558563 5.628543e+00
## 8056 80.55 22.693745 6.770074003 5.585667e+00
## 8057 80.56 22.465536 6.655911459 5.558142e+00
## 8058 80.57 22.235996 6.550716590 5.545479e+00
## 8059 80.58 22.006644 6.455024815 5.547147e+00
## 8060 80.59 21.778908 6.369268941 5.562592e+00
## 8061 80.60 21.554129 6.293787566 5.591257e+00
## 8062 80.61 21.333567 6.228833851 5.632583e+00
## 8063 80.62 21.118413 6.174584318 5.686024e+00
## 8064 80.63 20.909794 6.131147377 5.751048e+00
## 8065 80.64 20.708783 6.098571342 5.827141e+00
## 8066 80.65 20.516405 6.076851764 5.913805e+00
## 8067 80.66 20.333643 6.065937900 6.010555e+00
## 8068 80.67 20.161448 6.065738261 6.116916e+00
## 8069 80.68 20.000741 6.076125128 6.232417e+00
## 8070 80.69 19.852416 6.096938029 6.356585e+00
## 8071 80.70 19.717347 6.127986098 6.488933e+00
## 8072 80.71 19.596387 6.169049425 6.628954e+00
## 8073 80.72 19.490367 6.219879360 6.776110e+00
## 8074 80.73 19.400098 6.280197789 6.929821e+00
## 8075 80.74 19.326365 6.349695468 7.089455e+00
## 8076 80.75 19.269922 6.428029485 7.254318e+00
## 8077 80.76 19.231487 6.514819942 7.423640e+00
## 8078 80.77 19.211731 6.609645949 7.596569e+00
## 8079 80.78 19.211268 6.712041062 7.772159e+00
## 8080 80.79 19.230639 6.821488319 7.949362e+00
## 8081 80.80 19.270299 6.937415057 8.127021e+00
## 8082 80.81 19.330597 7.059187704 8.303869e+00
## 8083 80.82 19.411756 7.186106800 8.478525e+00
## 8084 80.83 19.513853 7.317402511 8.649493e+00
## 8085 80.84 19.636791 7.452230966 8.815176e+00
## 8086 80.85 19.780280 7.589671720 8.973879e+00
## 8087 80.86 19.943810 7.728726725 9.123828e+00
## 8088 80.87 20.126628 7.868321179 9.263194e+00
## 8089 80.88 20.327721 8.007306627 9.390114e+00
## 8090 80.89 20.545794 8.144466657 9.502731e+00
## 8091 80.90 20.779261 8.278525497 9.599229e+00
## 8092 80.91 21.026239 8.408159754 9.677878e+00
## 8093 80.92 21.284551 8.532013414 9.737081e+00
## 8094 80.93 21.551736 8.648716103 9.775426e+00
## 8095 80.94 21.825076 8.756904451 9.791737e+00
## 8096 80.95 22.101622 8.855246205 9.785120e+00
## 8097 80.96 22.378247 8.942466547 9.755013e+00
## 8098 80.97 22.651692 9.017375890 9.701219e+00
## 8099 80.98 22.918636 9.078898216 9.623940e+00
## 8100 80.99 23.175763 9.126098883 9.523788e+00
## 8101 81.00 23.419839 9.158210784 9.401796e+00
## 8102 81.01 23.647786 9.174657629 9.259397e+00
## 8103 81.02 23.856756 9.175073234 9.098408e+00
## 8104 81.03 24.044203 9.159315748 8.920982e+00
## 8105 81.04 24.207935 9.127476067 8.729559e+00
## 8106 81.05 24.346166 9.079879850 8.526800e+00
## 8107 81.06 24.457544 9.017082934 8.315518e+00
## 8108 81.07 24.541175 8.939860240 8.098603e+00
## 8109 81.08 24.596618 8.849188641 7.878946e+00
## 8110 81.09 24.623874 8.746224529 7.659372e+00
## 8111 81.10 24.623362 8.632277079 7.442573e+00
## 8112 81.11 24.595879 8.508778406 7.231053e+00
## 8113 81.12 24.542558 8.377251850 7.027088e+00
## 8114 81.13 24.464809 8.239279705 6.832688e+00
## 8115 81.14 24.364276 8.096471559 6.649583e+00
## 8116 81.15 24.242774 7.950434351 6.479211e+00
## 8117 81.16 24.102241 7.802745020 6.322723e+00
## 8118 81.17 23.944692 7.654926425 6.180993e+00
## 8119 81.18 23.772176 7.508427000 6.054637e+00
## 8120 81.19 23.586737 7.364604367 5.944034e+00
## 8121 81.20 23.390389 7.224712970 5.849360e+00
## 8122 81.21 23.185091 7.089895565 5.770610e+00
## 8123 81.22 22.972727 6.961178252 5.707629e+00
## 8124 81.23 22.755101 6.839468841 5.660146e+00
## 8125 81.24 22.533925 6.725557975 5.627790e+00
## 8126 81.25 22.310817 6.620122533 5.610127e+00
## 8127 81.26 22.087303 6.523730880 5.606669e+00
## 8128 81.27 21.864820 6.436849479 5.616902e+00
## 8129 81.28 21.644719 6.359850432 5.640292e+00
## 8130 81.29 21.428275 6.293019542 5.676305e+00
## 8131 81.30 21.216689 6.236564555 5.724408e+00
## 8132 81.31 21.011101 6.190623271 5.784079e+00
## 8133 81.32 20.812590 6.155271291 5.854809e+00
## 8134 81.33 20.622191 6.130529176 5.936102e+00
## 8135 81.34 20.440892 6.116368883 6.027472e+00
## 8136 81.35 20.269647 6.112719347 6.128443e+00
## 8137 81.36 20.109376 6.119471128 6.238543e+00
## 8138 81.37 19.960972 6.136480087 6.357294e+00
## 8139 81.38 19.825304 6.163570042 6.484211e+00
## 8140 81.39 19.703218 6.200534376 6.618786e+00
## 8141 81.40 19.595537 6.247136712 6.760487e+00
## 8142 81.41 19.503059 6.303110597 6.908742e+00
## 8143 81.42 19.426558 6.368158260 7.062929e+00
## 8144 81.43 19.366774 6.441948519 7.222371e+00
## 8145 81.44 19.324414 6.524113923 7.386321e+00
## 8146 81.45 19.300134 6.614247225 7.553955e+00
## 8147 81.46 19.294538 6.711897298 7.724360e+00
## 8148 81.47 19.308159 6.816564646 7.896529e+00
## 8149 81.48 19.341448 6.927696666 8.069356e+00
## 8150 81.49 19.394754 7.044682865 8.241627e+00
## 8151 81.50 19.468309 7.166850248 8.412022e+00
## 8152 81.51 19.562204 7.293459135 8.579116e+00
## 8153 81.52 19.676368 7.423699699 8.741384e+00
## 8154 81.53 19.810548 7.556689527 8.897209e+00
## 8155 81.54 19.964284 7.691472544 9.044898e+00
## 8156 81.55 20.136889 7.827019643 9.182703e+00
## 8157 81.56 20.327426 7.962231368 9.308840e+00
## 8158 81.57 20.534697 8.095942989 9.421528e+00
## 8159 81.58 20.757227 8.226932248 9.519015e+00
## 8160 81.59 20.993258 8.353930003 9.599629e+00
## 8161 81.60 21.240753 8.475633919 9.661812e+00
## 8162 81.61 21.497404 8.590725205 9.704176e+00
## 8163 81.62 21.760651 8.697888289 9.725545e+00
## 8164 81.63 22.027709 8.795833130 9.725003e+00
## 8165 81.64 22.295615 8.883319702 9.701937e+00
## 8166 81.65 22.561268 8.959183992 9.656079e+00
## 8167 81.66 22.821495 9.022364705 9.587526e+00
## 8168 81.67 23.073109 9.071929710 9.496768e+00
## 8169 81.68 23.312984 9.107101123 9.384686e+00
## 8170 81.69 23.538126 9.127278020 9.252553e+00
## 8171 81.70 23.745739 9.132055617 9.102007e+00
## 8172 81.71 23.933295 9.121239986 8.935019e+00
## 8173 81.72 24.098590 9.094857463 8.753845e+00
## 8174 81.73 24.239791 9.053158206 8.560972e+00
## 8175 81.74 24.355472 8.996613584 8.359049e+00
## 8176 81.75 24.444634 8.925907447 8.150822e+00
## 8177 81.76 24.506711 8.841921566 7.939060e+00
## 8178 81.77 24.541563 8.745715893 7.726492e+00
## 8179 81.78 24.549455 8.638504476 7.515740e+00
## 8180 81.79 24.531025 8.521628103 7.309267e+00
## 8181 81.80 24.487246 8.396524806 7.109333e+00
## 8182 81.81 24.419375 8.264699430 6.917958e+00
## 8183 81.82 24.328909 8.127693414 6.736901e+00
## 8184 81.83 24.217530 7.987055822 6.567650e+00
## 8185 81.84 24.087056 7.844316527 6.411418e+00
## 8186 81.85 23.939398 7.700962239 6.269150e+00
## 8187 81.86 23.776515 7.558415886 6.141540e+00
## 8188 81.87 23.600380 7.418019645 6.029052e+00
## 8189 81.88 23.412947 7.281021731 5.931940e+00
## 8190 81.89 23.216130 7.148566854 5.850277e+00
## 8191 81.90 23.011781 7.021690177 5.783984e+00
## 8192 81.91 22.801682 6.901314444 5.732856e+00
## 8193 81.92 22.587528 6.788249893 5.696584e+00
## 8194 81.93 22.370933 6.683196528 5.674784e+00
## 8195 81.94 22.153419 6.586748301 5.667017e+00
## 8196 81.95 21.936427 6.499398763 5.672804e+00
## 8197 81.96 21.721312 6.421547753 5.691643e+00
## 8198 81.97 21.509355 6.353508741 5.723023e+00
## 8199 81.98 21.301764 6.295516475 5.766429e+00
## 8200 81.99 21.099685 6.247734632 5.821351e+00
## 8201 82.00 20.904206 6.210263215 5.887289e+00
## 8202 82.01 20.716364 6.183145484 5.963752e+00
## 8203 82.02 20.537152 6.166374258 6.050256e+00
## 8204 82.03 20.367525 6.159897459 6.146325e+00
## 8205 82.04 20.208401 6.163622800 6.251487e+00
## 8206 82.05 20.060671 6.177421586 6.365263e+00
## 8207 82.06 19.925200 6.201131535 6.487166e+00
## 8208 82.07 19.802825 6.234558655 6.616692e+00
## 8209 82.08 19.694359 6.277478172 6.753310e+00
## 8210 82.09 19.600592 6.329634523 6.896452e+00
## 8211 82.10 19.522283 6.390740486 7.045509e+00
## 8212 82.11 19.460161 6.460475469 7.199814e+00
## 8213 82.12 19.414916 6.538483065 7.358639e+00
## 8214 82.13 19.387192 6.624367943 7.521181e+00
## 8215 82.14 19.377579 6.717692202 7.686558e+00
## 8216 82.15 19.386601 6.817971318 7.853797e+00
## 8217 82.16 19.414699 6.924669831 8.021831e+00
## 8218 82.17 19.462219 7.037196970 8.189495e+00
## 8219 82.18 19.529392 7.154902412 8.355524e+00
## 8220 82.19 19.616319 7.277072426 8.518551e+00
## 8221 82.20 19.722945 7.402926650 8.677117e+00
## 8222 82.21 19.849043 7.531615817 8.829676e+00
## 8223 82.22 19.994189 7.662220711 8.974609e+00
## 8224 82.23 20.157744 7.793752704 9.110243e+00
## 8225 82.24 20.338837 7.925156180 9.234870e+00
## 8226 82.25 20.536345 8.055313153 9.346781e+00
## 8227 82.26 20.748885 8.183050368 9.444293e+00
## 8228 82.27 20.974805 8.307149044 9.525791e+00
## 8229 82.28 21.212189 8.426357585 9.589768e+00
## 8230 82.29 21.458858 8.539407020 9.634868e+00
## 8231 82.30 21.712393 8.645029197 9.659930e+00
## 8232 82.31 21.970160 8.741977515 9.664035e+00
## 8233 82.32 22.229342 8.829049778 9.646544e+00
## 8234 82.33 22.486990 8.905112545 9.607137e+00
## 8235 82.34 22.740070 8.969126261 9.545838e+00
## 8236 82.35 22.985527 9.020170292 9.463039e+00
## 8237 82.36 23.220349 9.057466906 9.359506e+00
## 8238 82.37 23.441634 9.080403165 9.236372e+00
## 8239 82.38 23.646656 9.088549738 9.095126e+00
## 8240 82.39 23.832926 9.081675689 8.937580e+00
## 8241 82.40 23.998254 9.059758472 8.765827e+00
## 8242 82.41 24.140789 9.022988518 8.582193e+00
## 8243 82.42 24.259061 8.971768109 8.389172e+00
## 8244 82.43 24.351998 8.906704574 8.189369e+00
## 8245 82.44 24.418941 8.828597838 7.985430e+00
## 8246 82.45 24.459639 8.738422943 7.779980e+00
## 8247 82.46 24.474231 8.637308317 7.575560e+00
## 8248 82.47 24.463221 8.526510700 7.374575e+00
## 8249 82.48 24.427442 8.407387767 7.179253e+00
## 8250 82.49 24.368016 8.281369540 6.991601e+00
## 8251 82.50 24.286305 8.149929694 6.813388e+00
## 8252 82.51 24.183866 8.014557734 6.646129e+00
## 8253 82.52 24.062403 7.876732949 6.491078e+00
## 8254 82.53 23.923723 7.737900779 6.349234e+00
## 8255 82.54 23.769695 7.599452326 6.221352e+00
## 8256 82.55 23.602216 7.462707088 6.107962e+00
## 8257 82.56 23.423176 7.328899178 6.009385e+00
## 8258 82.57 23.234437 7.199167026 5.925765e+00
## 8259 82.58 23.037812 7.074546475 5.857087e+00
## 8260 82.59 22.835050 6.955966944 5.803206e+00
## 8261 82.60 22.627826 6.844250330 5.763872e+00
## 8262 82.61 22.417739 6.740112279 5.738750e+00
## 8263 82.62 22.206302 6.644165400 5.727446e+00
## 8264 82.63 21.994949 6.556924025 5.729518e+00
## 8265 82.64 21.785037 6.478810083 5.744496e+00
## 8266 82.65 21.577846 6.410159736 5.771894e+00
## 8267 82.66 21.374587 6.351230423 5.811218e+00
## 8268 82.67 21.176408 6.302208015 5.861973e+00
## 8269 82.68 20.984400 6.263213818 5.923669e+00
## 8270 82.69 20.799603 6.234311220 5.995822e+00
## 8271 82.70 20.623009 6.215511798 6.077954e+00
## 8272 82.71 20.455572 6.206780756 6.169590e+00
## 8273 82.72 20.298211 6.208041591 6.270258e+00
## 8274 82.73 20.151812 6.219179920 6.379481e+00
## 8275 82.74 20.017232 6.240046421 6.496772e+00
## 8276 82.75 19.895302 6.270458864 6.621626e+00
## 8277 82.76 19.786825 6.310203271 6.753515e+00
## 8278 82.77 19.692580 6.359034160 6.891878e+00
## 8279 82.78 19.613312 6.416673956 7.036109e+00
## 8280 82.79 19.549737 6.482811616 7.185553e+00
## 8281 82.80 19.502529 6.557100532 7.339497e+00
## 8282 82.81 19.472320 6.639155805 7.497155e+00
## 8283 82.82 19.459683 6.728550989 7.657670e+00
## 8284 82.83 19.465128 6.824814435 7.820097e+00
## 8285 82.84 19.489086 6.927425384 7.983406e+00
## 8286 82.85 19.531894 7.035809976 8.146471e+00
## 8287 82.86 19.593781 7.149337386 8.308073e+00
## 8288 82.87 19.674847 7.267316289 8.466901e+00
## 8289 82.88 19.775047 7.388991920 8.621553e+00
## 8290 82.89 19.894170 7.513544000 8.770546e+00
## 8291 82.90 20.031817 7.640085801 8.912331e+00
## 8292 82.91 20.187389 7.767664678 9.045302e+00
## 8293 82.92 20.360061 7.895264307 9.167825e+00
## 8294 82.93 20.548773 8.021809073 9.278261e+00
## 8295 82.94 20.752217 8.146170660 9.374995e+00
## 8296 82.95 20.968831 8.267177149 9.456474e+00
## 8297 82.96 21.196799 8.383624747 9.521242e+00
## 8298 82.97 21.434058 8.494292222 9.567985e+00
## 8299 82.98 21.678313 8.597957899 9.595570e+00
## 8300 82.99 21.927062 8.693419024 9.603088e+00
## 8301 83.00 22.177625 8.779513120 9.589890e+00
## 8302 83.01 22.427191 8.855140832 9.555627e+00
## 8303 83.02 22.672862 8.919289571 9.500271e+00
## 8304 83.03 22.911710 8.971057179 9.424143e+00
## 8305 83.04 23.140840 9.009674718 9.327913e+00
## 8306 83.05 23.357449 9.034527449 9.212605e+00
## 8307 83.06 23.558890 9.045173037 9.079581e+00
## 8308 83.07 23.742734 9.041356162 8.930515e+00
## 8309 83.08 23.906820 9.023018762 8.767355e+00
## 8310 83.09 24.049306 8.990305298 8.592281e+00
## 8311 83.10 24.168699 8.943562693 8.407645e+00
## 8312 83.11 24.263887 8.883334871 8.215918e+00
## 8313 83.12 24.334143 8.810352077 8.019621e+00
## 8314 83.13 24.379131 8.725515369 7.821272e+00
## 8315 83.14 24.398889 8.629876939 7.623325e+00
## 8316 83.15 24.393810 8.524617085 7.428116e+00
## 8317 83.16 24.364611 8.411018798 7.237824e+00
## 8318 83.17 24.312290 8.290440967 7.054430e+00
## 8319 83.18 24.238092 8.164291221 6.879694e+00
## 8320 83.19 24.143458 8.033999366 6.715140e+00
## 8321 83.20 24.029983 7.900992255 6.562046e+00
## 8322 83.21 23.899376 7.766670798 6.421447e+00
## 8323 83.22 23.753417 7.632389653 6.294143e+00
## 8324 83.23 23.593923 7.499439959 6.180715e+00
## 8325 83.24 23.422719 7.369035305 6.081542e+00
## 8326 83.25 23.241610 7.242300976 5.996823e+00
## 8327 83.26 23.052364 7.120266377 5.926600e+00
## 8328 83.27 22.856691 7.003860424 5.870784e+00
## 8329 83.28 22.656241 6.893909628 5.829176e+00
## 8330 83.29 22.452587 6.791138499 5.801489e+00
## 8331 83.30 22.247231 6.696171923 5.787370e+00
## 8332 83.31 22.041595 6.609539095 5.786414e+00
## 8333 83.32 21.837027 6.531678649 5.798183e+00
## 8334 83.33 21.634805 6.462944608 5.822218e+00
## 8335 83.34 21.436137 6.403612831 5.858044e+00
## 8336 83.35 21.242169 6.353887659 5.905185e+00
## 8337 83.36 21.053993 6.313908504 5.963162e+00
## 8338 83.37 20.872645 6.283756164 6.031502e+00
## 8339 83.38 20.699118 6.263458695 6.109731e+00
## 8340 83.39 20.534364 6.252996681 6.197380e+00
## 8341 83.40 20.379295 6.252307819 6.293978e+00
## 8342 83.41 20.234794 6.261290730 6.399049e+00
## 8343 83.42 20.101711 6.279807955 6.512108e+00
## 8344 83.43 19.980868 6.307688068 6.632650e+00
## 8345 83.44 19.873058 6.344726980 6.760149e+00
## 8346 83.45 19.779048 6.390688402 6.894047e+00
## 8347 83.46 19.699569 6.445303502 7.033743e+00
## 8348 83.47 19.635323 6.508269791 7.178593e+00
## 8349 83.48 19.586969 6.579249335 7.327891e+00
## 8350 83.49 19.555121 6.657866358 7.480871e+00
## 8351 83.50 19.540338 6.743704339 7.636692e+00
## 8352 83.51 19.543114 6.836302721 7.794436e+00
## 8353 83.52 19.563866 6.935153383 7.953101e+00
## 8354 83.53 19.602920 7.039697017 8.111599e+00
## 8355 83.54 19.660495 7.149319620 8.268750e+00
## 8356 83.55 19.736689 7.263349299 8.423292e+00
## 8357 83.56 19.831458 7.381053619 8.573873e+00
## 8358 83.57 19.944600 7.501637768 8.719071e+00
## 8359 83.58 20.075734 7.624243785 8.857396e+00
## 8360 83.59 20.224287 7.747951146 8.987310e+00
## 8361 83.60 20.389472 7.871778981 9.107247e+00
## 8362 83.61 20.570278 7.994690202 9.215634e+00
## 8363 83.62 20.765458 8.115597758 9.310923e+00
## 8364 83.63 20.973524 8.233373230 9.391624e+00
## 8365 83.64 21.192748 8.346857873 9.456338e+00
## 8366 83.65 21.421166 8.454876151 9.503798e+00
## 8367 83.66 21.656592 8.556251681 9.532906e+00
## 8368 83.67 21.896641 8.649825402 9.542773e+00
## 8369 83.68 22.138761 8.734475624 9.532758e+00
## 8370 83.69 22.380268 8.809139490 9.502495e+00
## 8371 83.70 22.618391 8.872835236 9.451927e+00
## 8372 83.71 22.850327 8.924684534 9.381320e+00
## 8373 83.72 23.073296 8.963934062 9.291273e+00
## 8374 83.73 23.284598 8.989975499 9.182720e+00
## 8375 83.74 23.481675 9.002363008 9.056918e+00
## 8376 83.75 23.662167 9.000827453 8.915423e+00
## 8377 83.76 23.823959 8.985286569 8.760057e+00
## 8378 83.77 23.965234 8.955850572 8.592867e+00
## 8379 83.78 24.084503 8.912822840 8.416074e+00
## 8380 83.79 24.180629 8.856695549 8.232020e+00
## 8381 83.80 24.252845 8.788140360 8.043110e+00
## 8382 83.81 24.300752 8.707994525 7.851753e+00
## 8383 83.82 24.324311 8.617242976 7.660310e+00
## 8384 83.83 24.323826 8.516997126 7.471041e+00
## 8385 83.84 24.299912 8.408471258 7.286067e+00
## 8386 83.85 24.253466 8.292957430 7.107329e+00
## 8387 83.86 24.185624 8.171799840 6.936565e+00
## 8388 83.87 24.097725 8.046369553 6.775292e+00
## 8389 83.88 23.991263 7.918040400 6.624796e+00
## 8390 83.89 23.867853 7.788166729 6.486133e+00
## 8391 83.90 23.729187 7.658063549 6.360134e+00
## 8392 83.91 23.577007 7.528989455 6.247419e+00
## 8393 83.92 23.413067 7.402132537 6.148410e+00
## 8394 83.93 23.239115 7.278599357 6.063354e+00
## 8395 83.94 23.056868 7.159406927 5.992341e+00
## 8396 83.95 22.867996 7.045477535 5.935330e+00
## 8397 83.96 22.674114 6.937636158 5.892168e+00
## 8398 83.97 22.476769 6.836610161 5.862610e+00
## 8399 83.98 22.277441 6.743030935 5.846343e+00
## 8400 83.99 22.077537 6.657437109 5.842998e+00
## 8401 84.00 21.878394 6.580278989 5.852167e+00
## 8402 84.01 21.681279 6.511923872 5.873416e+00
## 8403 84.02 21.487394 6.452661911 5.906295e+00
## 8404 84.03 21.297882 6.402712259 5.950343e+00
## 8405 84.04 21.113827 6.362229232 6.005096e+00
## 8406 84.05 20.936264 6.331308269 6.070091e+00
## 8407 84.06 20.766181 6.309991525 6.144863e+00
## 8408 84.07 20.604524 6.298272947 6.228946e+00
## 8409 84.08 20.452202 6.296102723 6.321875e+00
## 8410 84.09 20.310089 6.303391020 6.423174e+00
## 8411 84.10 20.179028 6.320010980 6.532358e+00
## 8412 84.11 20.059832 6.345800902 6.648927e+00
## 8413 84.12 19.953282 6.380565630 6.772354e+00
## 8414 84.13 19.860131 6.424077160 6.902084e+00
## 8415 84.14 19.781100 6.476074480 7.037523e+00
## 8416 84.15 19.716871 6.536262692 7.178029e+00
## 8417 84.16 19.668090 6.604311488 7.322909e+00
## 8418 84.17 19.635352 6.679853040 7.471407e+00
## 8419 84.18 19.619199 6.762479413 7.622701e+00
## 8420 84.19 19.620109 6.851739610 7.775893e+00
## 8421 84.20 19.638481 6.947136388 7.930007e+00
## 8422 84.21 19.674628 7.048122993 8.083985e+00
## 8423 84.22 19.728757 7.154099994 8.236686e+00
## 8424 84.23 19.800957 7.264412426 8.386887e+00
## 8425 84.24 19.891182 7.378347438 8.533286e+00
## 8426 84.25 19.999231 7.495132712 8.674512e+00
## 8427 84.26 20.124735 7.613935868 8.809133e+00
## 8428 84.27 20.267137 7.733865211 8.935673e+00
## 8429 84.28 20.425679 7.853971950 9.052628e+00
## 8430 84.29 20.599388 7.973254197 9.158493e+00
## 8431 84.30 20.787068 8.090662981 9.251785e+00
## 8432 84.31 20.987293 8.205110450 9.331075e+00
## 8433 84.32 21.198406 8.315480357 9.395025e+00
## 8434 84.33 21.418532 8.420640840 9.442416e+00
## 8435 84.34 21.645579 8.519459512 9.472194e+00
## 8436 84.35 21.877272 8.610820512 9.483501e+00
## 8437 84.36 22.111170 8.693643429 9.475709e+00
## 8438 84.37 22.344707 8.766903512 9.448455e+00
## 8439 84.38 22.575234 8.829652635 9.401663e+00
## 8440 84.39 22.800067 8.881040360 9.335562e+00
## 8441 84.40 23.016540 8.920334334 9.250698e+00
## 8442 84.41 23.222058 8.946939237 9.147936e+00
## 8443 84.42 23.414155 8.960413455 9.028444e+00
## 8444 84.43 23.590549 8.960482713 8.893677e+00
## 8445 84.44 23.749184 8.947050042 8.745347e+00
## 8446 84.45 23.888283 8.920201535 8.585385e+00
## 8447 84.46 24.006373 8.880207291 8.415891e+00
## 8448 84.47 24.102318 8.827517930 8.239087e+00
## 8449 84.48 24.175325 8.762756401 8.057264e+00
## 8450 84.49 24.224955 8.686705429 7.872725e+00
## 8451 84.50 24.251112 8.600291052 7.687737e+00
## 8452 84.51 24.254028 8.504563048 7.504480e+00
## 8453 84.52 24.234237 8.400672952 7.325008e+00
## 8454 84.53 24.192546 8.289850581 7.151212e+00
## 8455 84.54 24.130001 8.173379844 6.984797e+00
## 8456 84.55 24.047845 8.052574781 6.827261e+00
## 8457 84.56 23.947481 7.928756526 6.679886e+00
## 8458 84.57 23.830435 7.803231921 6.543735e+00
## 8459 84.58 23.698318 7.677274251 6.419658e+00
## 8460 84.59 23.552794 7.552106519 6.308301e+00
## 8461 84.60 23.395552 7.428887464 6.210119e+00
## 8462 84.61 23.228277 7.308700463 6.125396e+00
## 8463 84.62 23.052634 7.192545239 6.054263e+00
## 8464 84.63 22.870249 7.081332282 5.996719e+00
## 8465 84.64 22.682698 6.975879761 5.952651e+00
## 8466 84.65 22.491500 6.876912635 5.921853e+00
## 8467 84.66 22.298106 6.785063682 5.904049e+00
## 8468 84.67 22.103905 6.700876060 5.898900e+00
## 8469 84.68 21.910216 6.624807163 5.906031e+00
## 8470 84.69 21.718294 6.557233284 5.925032e+00
## 8471 84.70 21.529331 6.498454979 5.955474e+00
## 8472 84.71 21.344459 6.448702721 5.996915e+00
## 8473 84.72 21.164757 6.408142616 6.048906e+00
## 8474 84.73 20.991252 6.376882014 6.110995e+00
## 8475 84.74 20.824925 6.354974795 6.182725e+00
## 8476 84.75 20.666717 6.342426207 6.263638e+00
## 8477 84.76 20.517528 6.339197152 6.353271e+00
## 8478 84.77 20.378225 6.345207833 6.451152e+00
## 8479 84.78 20.249640 6.360340679 6.556798e+00
## 8480 84.79 20.132575 6.384442542 6.669710e+00
## 8481 84.80 20.027802 6.417326153 6.789363e+00
## 8482 84.81 19.936058 6.458770811 6.915204e+00
## 8483 84.82 19.858049 6.508522398 7.046641e+00
## 8484 84.83 19.794442 6.566292673 7.183040e+00
## 8485 84.84 19.745865 6.631757960 7.323715e+00
## 8486 84.85 19.712896 6.704557306 7.467920e+00
## 8487 84.86 19.696057 6.784290169 7.614847e+00
## 8488 84.87 19.695807 6.870513772 7.763616e+00
## 8489 84.88 19.712528 6.962740241 7.913274e+00
## 8490 84.89 19.746516 7.060433673 8.062791e+00
## 8491 84.90 19.797963 7.163007307 8.211056e+00
## 8492 84.91 19.866946 7.269820993 8.356886e+00
## 8493 84.92 19.953412 7.380179149 8.499023e+00
## 8494 84.93 20.057157 7.493329451 8.636142e+00
## 8495 84.94 20.177815 7.608462484 8.766867e+00
## 8496 84.95 20.314841 7.724712594 8.889777e+00
## 8497 84.96 20.467497 7.841160193 9.003430e+00
## 8498 84.97 20.634839 7.956835730 9.106385e+00
## 8499 84.98 20.815711 8.070725518 9.197221e+00
## 8500 84.99 21.008738 8.181779708 9.274573e+00
## 8501 85.00 21.212328 8.288922269 9.337161e+00
## 8502 85.01 21.424678 8.391063161 9.383823e+00
## 8503 85.02 21.643785 8.487112608 9.413550e+00
## 8504 85.03 21.867465 8.575997328 9.425520e+00
## 8505 85.04 22.093383 8.656678357 9.419131e+00
## 8506 85.05 22.319084 8.728170111 9.394029e+00
## 8507 85.06 22.542032 8.789560150 9.350133e+00
## 8508 85.07 22.759656 8.840029029 9.287652e+00
## 8509 85.08 22.969401 8.878869540 9.207093e+00
## 8510 85.09 23.168779 8.905504600 9.109262e+00
## 8511 85.10 23.355420 8.919503040 8.995259e+00
## 8512 85.11 23.527121 8.920592574 8.866454e+00
## 8513 85.12 23.681899 8.908669357 8.724461e+00
## 8514 85.13 23.818023 8.883803578 8.571107e+00
## 8515 85.14 23.934056 8.846240886 8.408383e+00
## 8516 85.15 24.028870 8.796399300 8.238401e+00
## 8517 85.16 24.101670 8.734861788 8.063342e+00
## 8518 85.17 24.151992 8.662364779 7.885407e+00
## 8519 85.18 24.179697 8.579783034 7.706769e+00
## 8520 85.19 24.184965 8.488111471 7.529523e+00
## 8521 85.20 24.168263 8.388444660 7.355654e+00
## 8522 85.21 24.130326 8.281954789 7.186997e+00
## 8523 85.22 24.072117 8.169868898 7.025211e+00
## 8524 85.23 23.994797 8.053446184 6.871768e+00
## 8525 85.24 23.899686 7.933956091 6.727933e+00
## 8526 85.25 23.788228 7.812657817 6.594768e+00
## 8527 85.26 23.661956 7.690781754 6.473128e+00
## 8528 85.27 23.522462 7.569513224 6.363675e+00
## 8529 85.28 23.371366 7.449978769 6.266889e+00
## 8530 85.29 23.210294 7.333235101 6.183082e+00
## 8531 85.30 23.040856 7.220260711 6.112416e+00
## 8532 85.31 22.864633 7.111950028 6.054925e+00
## 8533 85.32 22.683159 7.009109957 6.010529e+00
## 8534 85.33 22.497919 6.912458539 5.979059e+00
## 8535 85.34 22.310335 6.822625452 5.960268e+00
## 8536 85.35 22.121772 6.740154057 5.953850e+00
## 8537 85.36 21.933528 6.665504656 5.959455e+00
## 8538 85.37 21.746841 6.599058683 5.976700e+00
## 8539 85.38 21.562891 6.541123515 6.005176e+00
## 8540 85.39 21.382797 6.491937654 6.044459e+00
## 8541 85.40 21.207628 6.451676036 6.094116e+00
## 8542 85.41 21.038400 6.420455262 6.153705e+00
## 8543 85.42 20.876088 6.398338590 6.222779e+00
## 8544 85.43 20.721622 6.385340519 6.300888e+00
## 8545 85.44 20.575892 6.381430885 6.387572e+00
## 8546 85.45 20.439757 6.386538357 6.482364e+00
## 8547 85.46 20.314038 6.400553292 6.584783e+00
## 8548 85.47 20.199525 6.423329903 6.694331e+00
## 8549 85.48 20.096975 6.454687727 6.810486e+00
## 8550 85.49 20.007113 6.494412396 6.932695e+00
## 8551 85.50 19.930628 6.542255737 7.060370e+00
## 8552 85.51 19.868171 6.597935234 7.192881e+00
## 8553 85.52 19.820351 6.661132907 7.329549e+00
## 8554 85.53 19.787725 6.731493683 7.469637e+00
## 8555 85.54 19.770799 6.808623345 7.612348e+00
## 8556 85.55 19.770009 6.892086160 7.756819e+00
## 8557 85.56 19.785719 6.981402318 7.902116e+00
## 8558 85.57 19.818204 7.076045318 8.047233e+00
## 8559 85.58 19.867640 7.175439463 8.191090e+00
## 8560 85.59 19.934090 7.278957641 8.332537e+00
## 8561 85.60 20.017488 7.385919601 8.470355e+00
## 8562 85.61 20.117623 7.495590919 8.603267e+00
## 8563 85.62 20.234129 7.607182891 8.729943e+00
## 8564 85.63 20.366465 7.719853567 8.849018e+00
## 8565 85.64 20.513906 7.832710172 8.959110e+00
## 8566 85.65 20.675532 7.944813082 9.058835e+00
## 8567 85.66 20.850217 8.055181566 9.146837e+00
## 8568 85.67 21.036630 8.162801528 9.221813e+00
## 8569 85.68 21.233233 8.266635127 9.282543e+00
## 8570 85.69 21.438287 8.365632432 9.327921e+00
## 8571 85.70 21.649865 8.458745043 9.356987e+00
## 8572 85.71 21.865870 8.544941497 9.368963e+00
## 8573 85.72 22.084062 8.623224158 9.363277e+00
## 8574 85.73 22.302086 8.692647224 9.339594e+00
## 8575 85.74 22.517515 8.752335380 9.297838e+00
## 8576 85.75 22.727887 8.801502487 9.238208e+00
## 8577 85.76 22.930755 8.839469704 9.161182e+00
## 8578 85.77 23.123734 8.865682317 9.067527e+00
## 8579 85.78 23.304551 8.879724612 8.958283e+00
## 8580 85.79 23.471092 8.881332103 8.834749e+00
## 8581 85.80 23.621447 8.870400591 8.698456e+00
## 8582 85.81 23.753945 8.846991516 8.551137e+00
## 8583 85.82 23.867189 8.811333426 8.394684e+00
## 8584 85.83 23.960079 8.763819231 8.231106e+00
## 8585 85.84 24.031825 8.704999402 8.062482e+00
## 8586 85.85 24.081954 8.635571346 7.890915e+00
## 8587 85.86 24.110302 8.556365357 7.718483e+00
## 8588 85.87 24.117008 8.468327664 7.547199e+00
## 8589 85.88 24.102488 8.372501252 7.378971e+00
## 8590 85.89 24.067414 8.270005171 7.215574e+00
## 8591 85.90 24.012682 8.162013100 7.058618e+00
## 8592 85.91 23.939379 8.049731881 6.909537e+00
## 8593 85.92 23.848751 7.934380723 6.769574e+00
## 8594 85.93 23.742167 7.817171648 6.639777e+00
## 8595 85.94 23.621087 7.699291694 6.520999e+00
## 8596 85.95 23.487032 7.581887211 6.413911e+00
## 8597 85.96 23.341558 7.466050522 6.319006e+00
## 8598 85.97 23.186231 7.352809053 6.236615e+00
## 8599 85.98 23.022608 7.243116955 6.166927e+00
## 8600 85.99 22.852219 7.137849137 6.110002e+00
## 8601 86.00 22.676559 7.037797542 6.065791e+00
## 8602 86.01 22.497072 6.943669464 6.034152e+00
## 8603 86.02 22.315153 6.856087637 6.014867e+00
## 8604 86.03 22.132135 6.775591812 6.007660e+00
## 8605 86.04 21.949297 6.702641545 6.012205e+00
## 8606 86.05 21.767856 6.637619895 6.028141e+00
## 8607 86.06 21.588973 6.580837773 6.055080e+00
## 8608 86.07 21.413754 6.532538680 6.092616e+00
## 8609 86.08 21.243254 6.492903605 6.140330e+00
## 8610 86.09 21.078479 6.462055905 6.197792e+00
## 8611 86.10 20.920391 6.440065969 6.264567e+00
## 8612 86.11 20.769910 6.426955550 6.340208e+00
## 8613 86.12 20.627915 6.422701645 6.424264e+00
## 8614 86.13 20.495252 6.427239834 6.516270e+00
## 8615 86.14 20.372732 6.440467027 6.615748e+00
## 8616 86.15 20.261130 6.462243576 6.722202e+00
## 8617 86.16 20.161190 6.492394730 6.835111e+00
## 8618 86.17 20.073622 6.530711448 6.953925e+00
## 8619 86.18 19.999097 6.576950571 7.078057e+00
## 8620 86.19 19.938248 6.630834410 7.206883e+00
## 8621 86.20 19.891665 6.692049784 7.339726e+00
## 8622 86.21 19.859886 6.760246583 7.475859e+00
## 8623 86.22 19.843394 6.835035946 7.614495e+00
## 8624 86.23 19.842606 6.915988145 7.754785e+00
## 8625 86.24 19.857862 7.002630306 7.895813e+00
## 8626 86.25 19.889418 7.094444089 8.036594e+00
## 8627 86.26 19.937431 7.190863499 8.176076e+00
## 8628 86.27 20.001944 7.291272977 8.313139e+00
## 8629 86.28 20.082879 7.395005984 8.446602e+00
## 8630 86.29 20.180013 7.501344251 8.575229e+00
## 8631 86.30 20.292975 7.609517928 8.697738e+00
## 8632 86.31 20.421224 7.718706827 8.812816e+00
## 8633 86.32 20.564044 7.828042972 8.919135e+00
## 8634 86.33 20.720529 7.936614643 9.015371e+00
## 8635 86.34 20.889581 8.043472065 9.100229e+00
## 8636 86.35 21.069902 8.147634991 9.172466e+00
## 8637 86.36 21.260001 8.248102027 9.230924e+00
## 8638 86.37 21.458196 8.343861856 9.274554e+00
## 8639 86.38 21.662628 8.433906275 9.302449e+00
## 8640 86.39 21.871279 8.517244888 9.313877e+00
## 8641 86.40 22.081994 8.592921131 9.308302e+00
## 8642 86.41 22.292515 8.660029325 9.285415e+00
## 8643 86.42 22.500515 8.717732268 9.245151e+00
## 8644 86.43 22.703637 8.765278847 9.187709e+00
## 8645 86.44 22.899537 8.802021052 9.113551e+00
## 8646 86.45 23.085935 8.827429775 9.023412e+00
## 8647 86.46 23.260655 8.841108738 8.918285e+00
## 8648 86.47 23.421672 8.842805941 8.799408e+00
## 8649 86.48 23.567153 8.832422133 8.668242e+00
## 8650 86.49 23.695495 8.810015817 8.526434e+00
## 8651 86.50 23.805351 8.775804627 8.375789e+00
## 8652 86.51 23.895655 8.730162767 8.218219e+00
## 8653 86.52 23.965636 8.673614653 8.055708e+00
## 8654 86.53 24.014822 8.606824990 7.890262e+00
## 8655 86.54 24.043037 8.530585615 7.723870e+00
## 8656 86.55 24.050392 8.445799622 7.558460e+00
## 8657 86.56 24.037262 8.353463357 7.395865e+00
## 8658 86.57 24.004271 8.254646973 7.237794e+00
## 8659 86.58 23.952255 8.150474220 7.085804e+00
## 8660 86.59 23.882240 8.042102181 6.941286e+00
## 8661 86.60 23.795402 7.930701549 6.805451e+00
## 8662 86.61 23.693042 7.817438044 6.679327e+00
## 8663 86.62 23.576554 7.703455409 6.563760e+00
## 8664 86.63 23.447392 7.589860334 6.459417e+00
## 8665 86.64 23.307049 7.477709569 6.366799e+00
## 8666 86.65 23.157034 7.367999329 6.286251e+00
## 8667 86.66 22.998848 7.261657034 6.217980e+00
## 8668 86.67 22.833975 7.159535309 6.162067e+00
## 8669 86.68 22.663864 7.062408116 6.118487e+00
## 8670 86.69 22.489922 6.970968814 6.087124e+00
## 8671 86.70 22.313509 6.885829916 6.067784e+00
## 8672 86.71 22.135929 6.807524292 6.060216e+00
## 8673 86.72 21.958435 6.736507537 6.064116e+00
## 8674 86.73 21.782221 6.673161238 6.079145e+00
## 8675 86.74 21.608430 6.617796898 6.104935e+00
## 8676 86.75 21.438151 6.570660256 6.141096e+00
## 8677 86.76 21.272422 6.531935809 6.187223e+00
## 8678 86.77 21.112236 6.501751327 6.242899e+00
## 8679 86.78 20.958540 6.480182216 6.307697e+00
## 8680 86.79 20.812243 6.467255574 6.381179e+00
## 8681 86.80 20.674212 6.462953853 6.462898e+00
## 8682 86.81 20.545278 6.467218025 6.552394e+00
## 8683 86.82 20.426238 6.479950199 6.649193e+00
## 8684 86.83 20.317856 6.501015657 6.752799e+00
## 8685 86.84 20.220857 6.530244273 6.862693e+00
## 8686 86.85 20.135936 6.567431339 6.978326e+00
## 8687 86.86 20.063746 6.612337793 7.099116e+00
## 8688 86.87 20.004902 6.664689899 7.224439e+00
## 8689 86.88 19.959972 6.724178423 7.353624e+00
## 8690 86.89 19.929475 6.790457366 7.485951e+00
## 8691 86.90 19.913870 6.863142346 7.620641e+00
## 8692 86.91 19.913552 6.941808722 7.756859e+00
## 8693 86.92 19.928839 7.025989573 7.893704e+00
## 8694 86.93 19.959965 7.115173668 8.030212e+00
## 8695 86.94 20.007063 7.208803565 8.165354e+00
## 8696 86.95 20.070159 7.306274019 8.298042e+00
## 8697 86.96 20.149155 7.406930860 8.427127e+00
## 8698 86.97 20.243818 7.510070539 8.551413e+00
## 8699 86.98 20.353766 7.614940533 8.669663e+00
## 8700 86.99 20.478455 7.720740810 8.780614e+00
## 8701 87.00 20.617171 7.826626540 8.882990e+00
## 8702 87.01 20.769021 7.931712224 8.975526e+00
## 8703 87.02 20.932925 8.035077386 9.056985e+00
## 8704 87.03 21.107616 8.135774023 9.126187e+00
## 8705 87.04 21.291642 8.232835705 9.182031e+00
## 8706 87.05 21.483372 8.325288428 9.223530e+00
## 8707 87.06 21.681008 8.412163136 9.249830e+00
## 8708 87.07 21.882602 8.492509763 9.260246e+00
## 8709 87.08 22.086081 8.565412483 9.254285e+00
## 8710 87.09 22.289277 8.630005863 9.231667e+00
## 8711 87.10 22.489956 8.685491474 9.192348e+00
## 8712 87.11 22.685861 8.731154462 9.136530e+00
## 8713 87.12 22.874752 8.766379506 9.064668e+00
## 8714 87.13 23.054448 8.790665599 8.977474e+00
## 8715 87.14 23.222870 8.803639027 8.875905e+00
## 8716 87.15 23.378083 8.805064008 8.761147e+00
## 8717 87.16 23.518338 8.794850523 8.634598e+00
## 8718 87.17 23.642100 8.773058886 8.497833e+00
## 8719 87.18 23.748079 8.739900933 8.352572e+00
## 8720 87.19 23.835253 8.695737516 8.200641e+00
## 8721 87.20 23.902877 8.641072457 8.043933e+00
## 8722 87.21 23.950491 8.576543174 7.884365e+00
## 8723 87.22 23.977916 8.502908284 7.723834e+00
## 8724 87.23 23.985244 8.421032656 7.564188e+00
## 8725 87.24 23.972824 8.331870462 7.407183e+00
## 8726 87.25 23.941237 8.236446866 7.254461e+00
## 8727 87.26 23.891273 8.135838973 7.107520e+00
## 8728 87.27 23.823899 8.031156687 6.967706e+00
## 8729 87.28 23.740234 7.923524057 6.836192e+00
## 8730 87.29 23.641518 7.814061645 6.713982e+00
## 8731 87.30 23.529078 7.703870343 6.601903e+00
## 8732 87.31 23.404310 7.594016966 6.500618e+00
## 8733 87.32 23.268647 7.485521878 6.410626e+00
## 8734 87.33 23.123538 7.379348743 6.332280e+00
## 8735 87.34 22.970435 7.276396461 6.265799e+00
## 8736 87.35 22.810771 7.177493231 6.211281e+00
## 8737 87.36 22.645952 7.083392606 6.168720e+00
## 8738 87.37 22.477345 6.994771391 6.138019e+00
## 8739 87.38 22.306274 6.912229149 6.119008e+00
## 8740 87.39 22.134014 6.836289085 6.111456e+00
## 8741 87.40 21.961786 6.767400057 6.115081e+00
## 8742 87.41 21.790764 6.705939476 6.129562e+00
## 8743 87.42 21.622067 6.652216826 6.154550e+00
## 8744 87.43 21.456764 6.606477618 6.189669e+00
## 8745 87.44 21.295877 6.568907537 6.234530e+00
## 8746 87.45 21.140383 6.539636624 6.288726e+00
## 8747 87.46 20.991214 6.518743331 6.351839e+00
## 8748 87.47 20.849262 6.506258312 6.423439e+00
## 8749 87.48 20.715382 6.502167853 6.503086e+00
## 8750 87.49 20.590391 6.506416860 6.590322e+00
## 8751 87.50 20.475071 6.518911332 6.684677e+00
## 8752 87.51 20.370167 6.539520302 6.785657e+00
## 8753 87.52 20.276392 6.568077207 6.892744e+00
## 8754 87.53 20.194419 6.604380705 7.005391e+00
## 8755 87.54 20.124887 6.648194936 7.123018e+00
## 8756 87.55 20.068387 6.699249283 7.245003e+00
## 8757 87.56 20.025468 6.757237651 7.370680e+00
## 8758 87.57 19.996627 6.821817365 7.499335e+00
## 8759 87.58 19.982299 6.892607733 7.630197e+00
## 8760 87.59 19.982855 6.969188389 7.762442e+00
## 8761 87.60 19.998589 7.051097519 7.895185e+00
## 8762 87.61 20.029712 7.137830099 8.027478e+00
## 8763 87.62 20.076334 7.228836288 8.158319e+00
## 8764 87.63 20.138459 7.323520130 8.286643e+00
## 8765 87.64 20.215970 7.421238725 8.411337e+00
## 8766 87.65 20.308618 7.521302074 8.531242e+00
## 8767 87.66 20.416008 7.622973738 8.645164e+00
## 8768 87.67 20.537591 7.725472542 8.751886e+00
## 8769 87.68 20.672653 7.827975457 8.850185e+00
## 8770 87.69 20.820306 7.929621839 8.938851e+00
## 8771 87.70 20.979486 8.029519139 9.016706e+00
## 8772 87.71 21.148952 8.126750280 9.082630e+00
## 8773 87.72 21.327286 8.220382554 9.135583e+00
## 8774 87.73 21.512901 8.309478154 9.174636e+00
## 8775 87.74 21.704055 8.393106246 9.198991e+00
## 8776 87.75 21.898865 8.470356408 9.208014e+00
## 8777 87.76 22.095336 8.540353170 9.201253e+00
## 8778 87.77 22.291380 8.602271322 9.178466e+00
## 8779 87.78 22.484856 8.655351601 9.139630e+00
## 8780 87.79 22.673602 8.698916268 9.084960e+00
## 8781 87.80 22.855476 8.732384056 9.014909e+00
## 8782 87.81 23.028396 8.755283938 8.930174e+00
## 8783 87.82 23.190379 8.767267178 8.831680e+00
## 8784 87.83 23.339582 8.768117140 8.720574e+00
## 8785 87.84 23.474338 8.757756443 8.598196e+00
## 8786 87.85 23.593186 8.736251043 8.466055e+00
## 8787 87.86 23.694898 8.703811152 8.325798e+00
## 8788 87.87 23.778500 8.660788691 8.179169e+00
## 8789 87.88 23.843280 8.607671460 8.027975e+00
## 8790 87.89 23.888799 8.545074183 7.874045e+00
## 8791 87.90 23.914883 8.473726752 7.719195e+00
## 8792 87.91 23.921615 8.394460098 7.565189e+00
## 8793 87.92 23.909324 8.308190186 7.413706e+00
## 8794 87.93 23.878559 8.215900742 7.266321e+00
## 8795 87.94 23.830068 8.118625279 7.124474e+00
## 8796 87.95 23.764774 8.017429029 6.989457e+00
## 8797 87.96 23.683740 7.913391312 6.862406e+00
## 8798 87.97 23.588150 7.807588845 6.744291e+00
## 8799 87.98 23.479275 7.701080382 6.635922e+00
## 8800 87.99 23.358450 7.594893012 6.537945e+00
## 8801 88.00 23.227054 7.490010326 6.450856e+00
## 8802 88.01 23.086481 7.387362574 6.375011e+00
## 8803 88.02 22.938130 7.287818861 6.310633e+00
## 8804 88.03 22.783388 7.192181333 6.257835e+00
## 8805 88.04 22.623615 7.101181237 6.216622e+00
## 8806 88.05 22.460138 7.015476716 6.186918e+00
## 8807 88.06 22.294246 6.935652130 6.168570e+00
## 8808 88.07 22.127179 6.862218688 6.161364e+00
## 8809 88.08 21.960132 6.795616159 6.165038e+00
## 8810 88.09 21.794250 6.736215434 6.179287e+00
## 8811 88.10 21.630630 6.684321705 6.203780e+00
## 8812 88.11 21.470320 6.640178063 6.238155e+00
## 8813 88.12 21.314322 6.603969309 6.282034e+00
## 8814 88.13 21.163595 6.575825812 6.335023e+00
## 8815 88.14 21.019056 6.555827264 6.396713e+00
## 8816 88.15 20.881579 6.544006218 6.466681e+00
## 8817 88.16 20.752005 6.540351278 6.544490e+00
## 8818 88.17 20.631132 6.544809905 6.629691e+00
## 8819 88.18 20.519728 6.557290743 6.721813e+00
## 8820 88.19 20.418522 6.577665447 6.820364e+00
## 8821 88.20 20.328207 6.605769996 6.924831e+00
## 8822 88.21 20.249440 6.641405481 7.034666e+00
## 8823 88.22 20.182836 6.684338394 7.149290e+00
## 8824 88.23 20.128971 6.734300435 7.268084e+00
## 8825 88.24 20.088367 6.790987904 7.390387e+00
## 8826 88.25 20.061500 6.854060725 7.515489e+00
## 8827 88.26 20.048780 6.923141185 7.642628e+00
## 8828 88.27 20.050554 6.997812479 7.770989e+00
## 8829 88.28 20.067092 7.077617175 7.899702e+00
## 8830 88.29 20.098577 7.162055705 8.027837e+00
## 8831 88.30 20.145096 7.250585039 8.154411e+00
## 8832 88.31 20.206631 7.342617670 8.278390e+00
## 8833 88.32 20.283043 7.437521091 8.398688e+00
## 8834 88.33 20.374065 7.534617909 8.514184e+00
## 8835 88.34 20.479288 7.633186788 8.623725e+00
## 8836 88.35 20.598154 7.732464371 8.726140e+00
## 8837 88.36 20.729945 7.831648358 8.820257e+00
## 8838 88.37 20.873778 7.929901863 8.904919e+00
## 8839 88.38 21.028601 8.026359169 8.979008e+00
## 8840 88.39 21.193192 8.120133044 9.041460e+00
## 8841 88.40 21.366165 8.210323479 9.091299e+00
## 8842 88.41 21.545973 8.296027929 9.127651e+00
## 8843 88.42 21.730924 8.376352974 9.149777e+00
## 8844 88.43 21.919199 8.450427211 9.157093e+00
## 8845 88.44 22.108870 8.517415116 9.149196e+00
## 8846 88.45 22.297930 8.576531573 9.125878e+00
## 8847 88.46 22.484325 8.627056675 9.087144e+00
## 8848 88.47 22.665984 8.668350351 9.033224e+00
## 8849 88.48 22.840861 8.699866333 8.964577e+00
## 8850 88.49 23.006969 8.721164953 8.881888e+00
## 8851 88.50 23.162421 8.731924266 8.786061e+00
## 8852 88.51 23.305466 8.731949027 8.678204e+00
## 8853 88.52 23.434519 8.721177147 8.559609e+00
## 8854 88.53 23.548196 8.699683260 8.431728e+00
## 8855 88.54 23.645334 8.667679306 8.296136e+00
## 8856 88.55 23.725010 8.625511883 8.154502e+00
## 8857 88.56 23.786554 8.573656534 8.008555e+00
## 8858 88.57 23.829550 8.512709132 7.860041e+00
## 8859 88.58 23.853837 8.443374668 7.710692e+00
## 8860 88.59 23.859498 8.366453825 7.562192e+00
## 8861 88.60 23.846846 8.282827841 7.416149e+00
## 8862 88.61 23.816408 8.193442181 7.274065e+00
## 8863 88.62 23.768898 8.099289567 7.137322e+00
## 8864 88.63 23.705196 8.001392926 7.007158e+00
## 8865 88.64 23.626321 7.900788745 6.884666e+00
## 8866 88.65 23.533405 7.798511297 6.770783e+00
## 8867 88.66 23.427665 7.695578102 6.666290e+00
## 8868 88.67 23.310384 7.592976933 6.571820e+00
## 8869 88.68 23.182884 7.491654557 6.487858e+00
## 8870 88.69 23.046509 7.392507335 6.414757e+00
## 8871 88.70 22.902608 7.296373725 6.352744e+00
## 8872 88.71 22.752520 7.204028638 6.301936e+00
## 8873 88.72 22.597562 7.116179566 6.262353e+00
## 8874 88.73 22.439021 7.033464330 6.233931e+00
## 8875 88.74 22.278147 6.956450270 6.216531e+00
## 8876 88.75 22.116148 6.885634677 6.209956e+00
## 8877 88.76 21.954189 6.821446253 6.213960e+00
## 8878 88.77 21.793387 6.764247381 6.228254e+00
## 8879 88.78 21.634814 6.714336992 6.252520e+00
## 8880 88.79 21.479495 6.671953847 6.286411e+00
## 8881 88.80 21.328413 6.637280025 6.329561e+00
## 8882 88.81 21.182507 6.610444482 6.381585e+00
## 8883 88.82 21.042675 6.591526524 6.442082e+00
## 8884 88.83 20.909774 6.580559078 6.510637e+00
## 8885 88.84 20.784627 6.577531672 6.586820e+00
## 8886 88.85 20.668016 6.582393038 6.670182e+00
## 8887 88.86 20.560691 6.595053292 6.760258e+00
## 8888 88.87 20.463363 6.615385648 6.856558e+00
## 8889 88.88 20.376706 6.643227660 6.958567e+00
## 8890 88.89 20.301357 6.678381971 7.065742e+00
## 8891 88.90 20.237913 6.720616613 7.177505e+00
## 8892 88.91 20.186923 6.769664863 7.293239e+00
## 8893 88.92 20.148891 6.825224715 7.412285e+00
## 8894 88.93 20.124266 6.886958052 7.533939e+00
## 8895 88.94 20.113434 6.954489479 7.657448e+00
## 8896 88.95 20.116716 7.027405134 7.782005e+00
## 8897 88.96 20.134355 7.105251366 7.906753e+00
## 8898 88.97 20.166510 7.187533454 8.030780e+00
## 8899 88.98 20.213241 7.273714548 8.153124e+00
## 8900 88.99 20.274506 7.363214937 8.272775e+00
## 8901 89.00 20.350144 7.455411816 8.388680e+00
## 8902 89.01 20.439868 7.549639682 8.499750e+00
## 8903 89.02 20.543253 7.645191519 8.604873e+00
## 8904 89.03 20.659730 7.741321046 8.702923e+00
## 8905 89.04 20.788576 7.837245681 8.792778e+00
## 8906 89.05 20.928909 7.932151493 8.873335e+00
## 8907 89.06 21.079686 8.025198803 8.943530e+00
## 8908 89.07 21.239704 8.115529343 9.002360e+00
## 8909 89.08 21.407602 8.202274943 9.048907e+00
## 8910 89.09 21.581871 8.284567536 9.082357e+00
## 8911 89.10 21.760867 8.361550423 9.102028e+00
## 8912 89.11 21.942827 8.432390642 9.107388e+00
## 8913 89.12 22.125891 8.496292202 9.098081e+00
## 8914 89.13 22.308126 8.552509860 9.073938e+00
## 8915 89.14 22.487562 8.600363083 9.034994e+00
## 8916 89.15 22.662216 8.639249769 8.981500e+00
## 8917 89.16 22.830135 8.668659261 8.913919e+00
## 8918 89.17 22.989427 8.688184198 8.832933e+00
## 8919 89.18 23.138297 8.697530728 8.739426e+00
## 8920 89.19 23.275084 8.696526670 8.634476e+00
## 8921 89.20 23.398289 8.685127254 8.519333e+00
## 8922 89.21 23.506603 8.663418173 8.395393e+00
## 8923 89.22 23.598931 8.631615782 8.264168e+00
## 8924 89.23 23.674406 8.590064200 8.127258e+00
## 8925 89.24 23.732401 8.539229737 7.986315e+00
## 8926 89.25 23.772530 8.479692575 7.843005e+00
## 8927 89.26 23.794649 8.412136007 7.698984e+00
## 8928 89.27 23.798847 8.337333624 7.555857e+00
## 8929 89.28 23.785428 8.256134949 7.415158e+00
## 8930 89.29 23.754902 8.169449992 7.278322e+00
## 8931 89.30 23.707955 8.078233221 7.146667e+00
## 8932 89.31 23.645432 7.983467467 7.021380e+00
## 8933 89.32 23.568310 7.886148219 6.903508e+00
## 8934 89.33 23.477675 7.787268740 6.793950e+00
## 8935 89.34 23.374695 7.687806340 6.693460e+00
## 8936 89.35 23.260603 7.588710093 6.602649e+00
## 8937 89.36 23.136670 7.490890155 6.521990e+00
## 8938 89.37 23.004191 7.395208854 6.451829e+00
## 8939 89.38 22.864466 7.302473485 6.392391e+00
## 8940 89.39 22.718787 7.213430914 6.343799e+00
## 8941 89.40 22.568429 7.128763812 6.306080e+00
## 8942 89.41 22.414639 7.049088403 6.279178e+00
## 8943 89.42 22.258630 6.974953572 6.262969e+00
## 8944 89.43 22.101575 6.906841135 6.257269e+00
## 8945 89.44 21.944609 6.845167095 6.261845e+00
## 8946 89.45 21.788819 6.790283654 6.276422e+00
## 8947 89.46 21.635253 6.742481809 6.300694e+00
## 8948 89.47 21.484913 6.701994334 6.334328e+00
## 8949 89.48 21.338757 6.668998983 6.376968e+00
## 8950 89.49 21.197705 6.643621758 6.428237e+00
## 8951 89.50 21.062634 6.625940115 6.487745e+00
## 8952 89.51 20.934386 6.615985988 6.555081e+00
## 8953 89.52 20.813762 6.613748547 6.629820e+00
## 8954 89.53 20.701527 6.619176617 6.711518e+00
## 8955 89.54 20.598412 6.632180701 6.799711e+00
## 8956 89.55 20.505108 6.652634581 6.893912e+00
## 8957 89.56 20.422271 6.680376476 6.993609e+00
## 8958 89.57 20.350517 6.715209761 7.098258e+00
## 8959 89.58 20.290420 6.756903256 7.207282e+00
## 8960 89.59 20.242508 6.805191126 7.320068e+00
## 8961 89.60 20.207260 6.859772436 7.435960e+00
## 8962 89.61 20.185099 6.920310405 7.554259e+00
## 8963 89.62 20.176387 6.986431463 7.674218e+00
## 8964 89.63 20.181418 7.057724169 7.795041e+00
## 8965 89.64 20.200408 7.133738106 7.915883e+00
## 8966 89.65 20.233488 7.213982871 8.035848e+00
## 8967 89.66 20.280693 7.297927265 8.153996e+00
## 8968 89.67 20.341955 7.384998846 8.269339e+00
## 8969 89.68 20.417089 7.474583965 8.380855e+00
## 8970 89.69 20.505787 7.566028440 8.487490e+00
## 8971 89.70 20.607609 7.658639026 8.588171e+00
## 8972 89.71 20.721971 7.751685801 8.681816e+00
## 8973 89.72 20.848143 7.844405612 8.767351e+00
## 8974 89.73 20.985243 7.936006740 8.843726e+00
## 8975 89.74 21.132236 8.025674771 8.909932e+00
## 8976 89.75 21.287934 8.112579766 8.965026e+00
## 8977 89.76 21.451001 8.195884761 9.008146e+00
## 8978 89.77 21.619962 8.274755538 9.038540e+00
## 8979 89.78 21.793217 8.348371529 9.055580e+00
## 8980 89.79 21.969058 8.415937700 9.058789e+00
## 8981 89.80 22.145687 8.476697178 9.047857e+00
## 8982 89.81 22.321246 8.529944317 9.022656e+00
## 8983 89.82 22.493842 8.575037854 8.983255e+00
## 8984 89.83 22.661581 8.611413745 8.929922e+00
## 8985 89.84 22.822597 8.638597273 8.863134e+00
## 8986 89.85 22.975091 8.656213967 8.783568e+00
## 8987 89.86 23.117360 8.663998930 8.692097e+00
## 8988 89.87 23.247831 8.661804187 8.589769e+00
## 8989 89.88 23.365091 8.649603748 8.477796e+00
## 8990 89.89 23.467907 8.627496082 8.357524e+00
## 8991 89.90 23.555252 8.595703889 8.230408e+00
## 8992 89.91 23.626317 8.554571137 8.097981e+00
## 8993 89.92 23.680521 8.504557426 7.961822e+00
## 8994 89.93 23.717513 8.446229851 7.823524e+00
## 8995 89.94 23.737169 8.380252642 7.684666e+00
## 8996 89.95 23.739587 8.307374942 7.546778e+00
## 8997 89.96 23.725070 8.228417151 7.411323e+00
## 8998 89.97 23.694113 8.144256281 7.279667e+00
## 8999 89.98 23.647381 8.055810806 7.153068e+00
## 9000 89.99 23.585689 7.964025478 7.032658e+00
## 9001 90.00 23.509975 7.869856520 6.919436e+00
## 9002 90.01 23.421285 7.774257600 6.814265e+00
## 9003 90.02 23.320743 7.678166902 6.717866e+00
## 9004 90.03 23.209533 7.582495518 6.630827e+00
## 9005 90.04 23.088879 7.488117367 6.553605e+00
## 9006 90.05 22.960027 7.395860799 6.486536e+00
## 9007 90.06 22.824232 7.306501758 6.429844e+00
## 9008 90.07 22.682742 7.220758592 6.383649e+00
## 9009 90.08 22.536789 7.139288416 6.347984e+00
## 9010 90.09 22.387579 7.062684920 6.322802e+00
## 9011 90.10 22.236290 6.991477431 6.307986e+00
## 9012 90.11 22.084060 6.926131062 6.303365e+00
## 9013 90.12 21.931992 6.867047792 6.308716e+00
## 9014 90.13 21.781146 6.814568263 6.323778e+00
## 9015 90.14 21.632540 6.768974129 6.348256e+00
## 9016 90.15 21.487153 6.730490769 6.381827e+00
## 9017 90.16 21.345921 6.699290223 6.424145e+00
## 9018 90.17 21.209740 6.675494194 6.474842e+00
## 9019 90.18 21.079470 6.659176994 6.533534e+00
## 9020 90.19 20.955928 6.650368338 6.599817e+00
## 9021 90.20 20.839899 6.649055888 6.673271e+00
## 9022 90.21 20.732129 6.655187489 6.753454e+00
## 9023 90.22 20.633326 6.668673040 6.839906e+00
## 9024 90.23 20.544165 6.689385982 6.932142e+00
## 9025 90.24 20.465278 6.717164369 7.029649e+00
## 9026 90.25 20.397260 6.751811545 7.131886e+00
## 9027 90.26 20.340663 6.793096433 7.238278e+00
## 9028 90.27 20.295991 6.840753462 7.348212e+00
## 9029 90.28 20.263699 6.894482188 7.461038e+00
## 9030 90.29 20.244183 6.953946684 7.576060e+00
## 9031 90.30 20.237780 7.018774675 7.692539e+00
## 9032 90.31 20.244755 7.088556699 7.809688e+00
## 9033 90.32 20.265297 7.162845194 7.926674e+00
## 9034 90.33 20.299509 7.241153707 8.042619e+00
## 9035 90.34 20.347399 7.322956335 8.156601e+00
## 9036 90.35 20.408872 7.407687544 8.267659e+00
## 9037 90.36 20.483721 7.494742480 8.374797e+00
## 9038 90.37 20.571615 7.583477918 8.476997e+00
## 9039 90.38 20.672094 7.673213957 8.573224e+00
## 9040 90.39 20.784564 7.763236745 8.662439e+00
## 9041 90.40 20.908285 7.852801779 8.743616e+00
## 9042 90.41 21.042374 7.941139191 8.815756e+00
## 9043 90.42 21.185801 8.027459415 8.877908e+00
## 9044 90.43 21.337391 8.110960304 8.929183e+00
## 9045 90.44 21.495832 8.190835567 8.968781e+00
## 9046 90.45 21.659682 8.266284305 8.996003e+00
## 9047 90.46 21.827382 8.336521564 9.010283e+00
## 9048 90.47 21.997276 8.400789753 9.011193e+00
## 9049 90.48 22.167628 8.458370686 8.998473e+00
## 9050 90.49 22.336649 8.508597970 8.972036e+00
## 9051 90.50 22.502523 8.550869371 8.931981e+00
## 9052 90.51 22.663438 8.584658813 8.878603e+00
## 9053 90.52 22.817618 8.609527595 8.812389e+00
## 9054 90.53 22.963353 8.625134423 8.734017e+00
## 9055 90.54 23.099029 8.631243878 8.644346e+00
## 9056 90.55 23.223163 8.627732970 8.544403e+00
## 9057 90.56 23.334421 8.614595480 8.435364e+00
## 9058 90.57 23.431652 8.591943906 8.318530e+00
## 9059 90.58 23.513894 8.560008872 8.195299e+00
## 9060 90.59 23.580400 8.519135851 8.067144e+00
## 9061 90.60 23.630634 8.469779565 7.935574e+00
## 9062 90.61 23.664282 8.412496049 7.802112e+00
## 9063 90.62 23.681246 8.347932638 7.668262e+00
## 9064 90.63 23.681635 8.276816235 7.535483e+00
## 9065 90.64 23.665755 8.199940302 7.405167e+00
## 9066 90.65 23.634090 8.118150991 7.278614e+00
## 9067 90.66 23.587288 8.032332789 7.157022e+00
## 9068 90.67 23.526137 7.943394223 7.041467e+00
## 9069 90.68 23.451544 7.852253892 6.932902e+00
## 9070 90.69 23.364516 7.759827261 6.832148e+00
## 9071 90.70 23.266134 7.667014501 6.739896e+00
## 9072 90.71 23.157540 7.574689562 6.656708e+00
## 9073 90.72 23.039913 7.483690744 6.583022e+00
## 9074 90.73 22.914454 7.394812702 6.519163e+00
## 9075 90.74 22.782372 7.308800003 6.465346e+00
## 9076 90.75 22.644872 7.226342211 6.421693e+00
## 9077 90.76 22.503146 7.148070434 6.388236e+00
## 9078 90.77 22.358361 7.074555176 6.364933e+00
## 9079 90.78 22.211656 7.006305385 6.351677e+00
## 9080 90.79 22.064137 6.943768524 6.348304e+00
## 9081 90.80 21.916875 6.887331498 6.354602e+00
## 9082 90.81 21.770900 6.837322270 6.370319e+00
## 9083 90.82 21.627203 6.794011981 6.395170e+00
## 9084 90.83 21.486737 6.757617433 6.428843e+00
## 9085 90.84 21.350415 6.728303766 6.470998e+00
## 9086 90.85 21.219110 6.706187220 6.521278e+00
## 9087 90.86 21.093659 6.691337837 6.579303e+00
## 9088 90.87 20.974862 6.683782032 6.644676e+00
## 9089 90.88 20.863479 6.683504932 6.716979e+00
## 9090 90.89 20.760238 6.690452440 6.795776e+00
## 9091 90.90 20.665826 6.704532955 6.880607e+00
## 9092 90.91 20.580896 6.725618743 6.970989e+00
## 9093 90.92 20.506060 6.753546937 7.066412e+00
## 9094 90.93 20.441890 6.788120158 7.166334e+00
## 9095 90.94 20.388913 6.829106811 7.270183e+00
## 9096 90.95 20.347610 6.876241031 7.377349e+00
## 9097 90.96 20.318410 6.929222371 7.487183e+00
## 9098 90.97 20.301682 6.987715293 7.598995e+00
## 9099 90.98 20.297737 7.051348450 7.712053e+00
## 9100 90.99 20.306811 7.119714002 7.825580e+00
## 9101 91.00 20.329064 7.192366912 7.938755e+00
## 9102 91.01 20.364572 7.268824371 8.050717e+00
## 9103 91.02 20.413315 7.348565499 8.160564e+00
## 9104 91.03 20.475171 7.431031411 8.267357e+00
## 9105 91.04 20.549908 7.515625799 8.370133e+00
## 9106 91.05 20.637174 7.601716139 8.467903e+00
## 9107 91.06 20.736490 7.688635641 8.559673e+00
## 9108 91.07 20.847245 7.775686190 8.644447e+00
## 9109 91.08 20.968694 7.862141818 8.721245e+00
## 9110 91.09 21.099950 7.947254143 8.789121e+00
## 9111 91.10 21.239987 8.030258069 8.847177e+00
## 9112 91.11 21.387644 8.110378880 8.894581e+00
## 9113 91.12 21.541630 8.186840561 8.930590e+00
## 9114 91.13 21.700534 8.258875107 8.954565e+00
## 9115 91.14 21.862839 8.325732735 8.965992e+00
## 9116 91.15 22.026937 8.386692851 8.964500e+00
## 9117 91.16 22.191151 8.441075531 8.949874e+00
## 9118 91.17 22.353761 8.488253233 8.922068e+00
## 9119 91.18 22.513026 8.527662419 8.881216e+00
## 9120 91.19 22.667214 8.558814732 8.827635e+00
## 9121 91.20 22.814635 8.581307355 8.761825e+00
## 9122 91.21 22.953666 8.594832181 8.684467e+00
## 9123 91.22 23.082781 8.599183444 8.596411e+00
## 9124 91.23 23.200583 8.594263502 8.498661e+00
## 9125 91.24 23.305822 8.580086506 8.392362e+00
## 9126 91.25 23.397421 8.556779782 8.278771e+00
## 9127 91.26 23.474488 8.524582829 8.159235e+00
## 9128 91.27 23.536333 8.483843922 8.035168e+00
## 9129 91.28 23.582472 8.435014409 7.908014e+00
## 9130 91.29 23.612628 8.378640887 7.779227e+00
## 9131 91.30 23.626728 8.315355508 7.650242e+00
## 9132 91.31 23.624898 8.245864741 7.522446e+00
## 9133 91.32 23.607448 8.170936966 7.397164e+00
## 9134 91.33 23.574856 8.091389287 7.275631e+00
## 9135 91.34 23.527755 8.008073988 7.158985e+00
## 9136 91.35 23.466911 7.921865011 7.048248e+00
## 9137 91.36 23.393202 7.833644833 6.944325e+00
## 9138 91.37 23.307599 7.744292048 6.847997e+00
## 9139 91.38 23.211146 7.654669930 6.759921e+00
## 9140 91.39 23.104944 7.565616231 6.680632e+00
## 9141 91.40 22.990128 7.477934267 6.610549e+00
## 9142 91.41 22.867857 7.392385413 6.549983e+00
## 9143 91.42 22.739298 7.309683053 6.499140e+00
## 9144 91.43 22.605614 7.230487958 6.458137e+00
## 9145 91.44 22.467955 7.155404994 6.427008e+00
## 9146 91.45 22.327452 7.084981067 6.405713e+00
## 9147 91.46 22.185208 7.019704180 6.394150e+00
## 9148 91.47 22.042294 6.960003441 6.392161e+00
## 9149 91.48 21.899748 6.906249877 6.399544e+00
## 9150 91.49 21.758572 6.858757876 6.416056e+00
## 9151 91.50 21.619729 6.817787124 6.441419e+00
## 9152 91.51 21.484146 6.783544858 6.475329e+00
## 9153 91.52 21.352712 6.756188325 6.517456e+00
## 9154 91.53 21.226276 6.735827303 6.567447e+00
## 9155 91.54 21.105653 6.722526590 6.624929e+00
## 9156 91.55 20.991619 6.716308351 6.689510e+00
## 9157 91.56 20.884917 6.717154279 6.760776e+00
## 9158 91.57 20.786249 6.725007474 6.838293e+00
## 9159 91.58 20.696284 6.739774038 6.921604e+00
## 9160 91.59 20.615652 6.761324327 7.010226e+00
## 9161 91.60 20.544941 6.789493870 7.103652e+00
## 9162 91.61 20.484701 6.824083963 7.201340e+00
## 9163 91.62 20.435435 6.864861935 7.302721e+00
## 9164 91.63 20.397598 6.911561136 7.407185e+00
## 9165 91.64 20.371592 6.963880694 7.514089e+00
## 9166 91.65 20.357761 7.021485065 7.622747e+00
## 9167 91.66 20.356386 7.084003524 7.732434e+00
## 9168 91.67 20.367676 7.151029590 7.842383e+00
## 9169 91.68 20.391762 7.222120518 7.951787e+00
## 9170 91.69 20.428691 7.296796960 8.059799e+00
## 9171 91.70 20.478414 7.374542890 8.165538e+00
## 9172 91.71 20.540783 7.454805937 8.268091e+00
## 9173 91.72 20.615540 7.536998217 8.366521e+00
## 9174 91.73 20.702312 7.620497780 8.459875e+00
## 9175 91.74 20.800599 7.704650895 8.547195e+00
## 9176 91.75 20.909779 7.788774825 8.627529e+00
## 9177 91.76 21.029095 7.872162255 8.699944e+00
## 9178 91.77 21.157657 7.954086071 8.763544e+00
## 9179 91.78 21.294444 8.033805361 8.817485e+00
## 9180 91.79 21.438309 8.110572583 8.860992e+00
## 9181 91.80 21.587980 8.183641700 8.893377e+00
## 9182 91.81 21.742076 8.252277248 8.914059e+00
## 9183 91.82 21.899121 8.315764222 8.922580e+00
## 9184 91.83 22.057554 8.373418595 8.918618e+00
## 9185 91.84 22.215757 8.424598252 8.902008e+00
## 9186 91.85 22.372075 8.468714053 8.872743e+00
## 9187 91.86 22.524839 8.505240719 8.830992e+00
## 9188 91.87 22.672399 8.533727221 8.777093e+00
## 9189 91.88 22.813145 8.553806307 8.711563e+00
## 9190 91.89 22.945541 8.565202838 8.635083e+00
## 9191 91.90 23.068147 8.567740616 8.548496e+00
## 9192 91.91 23.179650 8.561347410 8.452787e+00
## 9193 91.92 23.278881 8.546057988 8.349069e+00
## 9194 91.93 23.364837 8.522014993 8.238560e+00
## 9195 91.94 23.436696 8.489467458 8.122559e+00
## 9196 91.95 23.493826 8.448767245 8.002421e+00
## 9197 91.96 23.535792 8.400363316 7.879530e+00
## 9198 91.97 23.562355 8.344794027 7.755274e+00
## 9199 91.98 23.573473 8.282677703 7.631019e+00
## 9200 91.99 23.569286 8.214701842 7.508087e+00
## 9201 92.00 23.550111 8.141611267 7.387733e+00
## 9202 92.01 23.516425 8.064195614 7.271132e+00
## 9203 92.02 23.468848 7.983276508 7.159361e+00
## 9204 92.03 23.408124 7.899694820 7.053391e+00
## 9205 92.04 23.335107 7.814298313 6.954079e+00
## 9206 92.05 23.250736 7.727929994 6.862164e+00
## 9207 92.06 23.156020 7.641417397 6.778270e+00
## 9208 92.07 23.052021 7.555562990 6.702905e+00
## 9209 92.08 22.939834 7.471135841 6.636466e+00
## 9210 92.09 22.820576 7.388864589 6.579247e+00
## 9211 92.10 22.695375 7.309431783 6.531447e+00
## 9212 92.11 22.565353 7.233469540 6.493174e+00
## 9213 92.12 22.431621 7.161556446 6.464462e+00
## 9214 92.13 22.295272 7.094215603 6.445271e+00
## 9215 92.14 22.157374 7.031913708 6.435504e+00
## 9216 92.15 22.018965 6.975061029 6.435008e+00
## 9217 92.16 21.881050 6.924012109 6.443587e+00
## 9218 92.17 21.744603 6.879067082 6.461004e+00
## 9219 92.18 21.610558 6.840473419 6.486991e+00
## 9220 92.19 21.479815 6.808427999 6.521249e+00
## 9221 92.20 21.353238 6.783079344 6.563455e+00
## 9222 92.21 21.231654 6.764529938 6.613263e+00
## 9223 92.22 21.115854 6.752838494 6.670305e+00
## 9224 92.23 21.006591 6.748022119 6.734191e+00
## 9225 92.24 20.904585 6.750058279 6.804512e+00
## 9226 92.25 20.810518 6.758886528 6.880836e+00
## 9227 92.26 20.725035 6.774409965 6.962709e+00
## 9228 92.27 20.648743 6.796496384 7.049648e+00
## 9229 92.28 20.582209 6.824979120 7.141148e+00
## 9230 92.29 20.525956 6.859657596 7.236668e+00
## 9231 92.30 20.480464 6.900297589 7.335640e+00
## 9232 92.31 20.446161 6.946631247 7.437459e+00
## 9233 92.32 20.423424 6.998356901 7.541483e+00
## 9234 92.33 20.412567 7.055138738 7.647032e+00
## 9235 92.34 20.413843 7.116606394 7.753390e+00
## 9236 92.35 20.427433 7.182354542 7.859799e+00
## 9237 92.36 20.453438 7.251942585 7.965465e+00
## 9238 92.37 20.491875 7.324894521 8.069558e+00
## 9239 92.38 20.542670 7.400699120 8.171217e+00
## 9240 92.39 20.605645 7.478810483 8.269553e+00
## 9241 92.40 20.680517 7.558649133 8.363660e+00
## 9242 92.41 20.766891 7.639603716 8.452616e+00
## 9243 92.42 20.864250 7.721033433 8.535503e+00
## 9244 92.43 20.971955 7.802271288 8.611410e+00
## 9245 92.44 21.089241 7.882628271 8.679452e+00
## 9246 92.45 21.215216 7.961398455 8.738783e+00
## 9247 92.46 21.348862 8.037865071 8.788611e+00
## 9248 92.47 21.489045 8.111307584 8.828217e+00
## 9249 92.48 21.634513 8.181009693 8.856969e+00
## 9250 92.49 21.783917 8.246268177 8.874342e+00
## 9251 92.50 21.935816 8.306402446 8.879932e+00
## 9252 92.51 22.088699 8.360764620 8.873469e+00
## 9253 92.52 22.241004 8.408749921 8.854831e+00
## 9254 92.53 22.391140 8.449807097 8.824055e+00
## 9255 92.54 22.537511 8.483448606 8.781339e+00
## 9256 92.55 22.678542 8.509260225 8.727047e+00
## 9257 92.56 22.812705 8.526909778 8.661708e+00
## 9258 92.57 22.938546 8.536154671 8.586008e+00
## 9259 92.58 23.054713 8.536847929 8.500781e+00
## 9260 92.59 23.159971 8.528942537 8.406994e+00
## 9261 92.60 23.253232 8.512493822 8.305732e+00
## 9262 92.61 23.333567 8.487659788 8.198174e+00
## 9263 92.62 23.400219 8.454699354 8.085572e+00
## 9264 92.63 23.452616 8.413968522 7.969227e+00
## 9265 92.64 23.490372 8.365914578 7.850464e+00
## 9266 92.65 23.513287 8.311068499 7.730609e+00
## 9267 92.66 23.521347 8.250035814 7.610960e+00
## 9268 92.67 23.514711 8.183486214 7.492776e+00
## 9269 92.68 23.493704 8.112142240 7.377248e+00
## 9270 92.69 23.458801 8.036767385 7.265488e+00
## 9271 92.70 23.410613 7.958153974 7.158516e+00
## 9272 92.71 23.349867 7.877111145 7.057251e+00
## 9273 92.72 23.277392 7.794453245 6.962504e+00
## 9274 92.73 23.194100 7.710988894 6.874974e+00
## 9275 92.74 23.100965 7.627510949 6.795248e+00
## 9276 92.75 22.999013 7.544787525 6.723809e+00
## 9277 92.76 22.889302 7.463554244 6.661030e+00
## 9278 92.77 22.772911 7.384507668 6.607189e+00
## 9279 92.78 22.650926 7.308299987 6.562472e+00
## 9280 92.79 22.524432 7.235534957 6.526983e+00
## 9281 92.80 22.394503 7.166765007 6.500750e+00
## 9282 92.81 22.262194 7.102489398 6.483734e+00
## 9283 92.82 22.128539 7.043153347 6.475839e+00
## 9284 92.83 21.994542 6.989147970 6.476917e+00
## 9285 92.84 21.861179 6.940810917 6.486776e+00
## 9286 92.85 21.729391 6.898427551 6.505186e+00
## 9287 92.86 21.600086 6.862232553 6.531884e+00
## 9288 92.87 21.474137 6.832411799 6.566577e+00
## 9289 92.88 21.352383 6.809104416 6.608949e+00
## 9290 92.89 21.235626 6.792404894 6.658657e+00
## 9291 92.90 21.124632 6.782365163 6.715338e+00
## 9292 92.91 21.020134 6.778996572 6.778606e+00
## 9293 92.92 20.922827 6.782271684 6.848056e+00
## 9294 92.93 20.833371 6.792125859 6.923257e+00
## 9295 92.94 20.752388 6.808458581 7.003756e+00
## 9296 92.95 20.680461 6.831134514 7.089073e+00
## 9297 92.96 20.618132 6.859984280 7.178703e+00
## 9298 92.97 20.565902 6.894804966 7.272107e+00
## 9299 92.98 20.524222 6.935360393 7.368718e+00
## 9300 92.99 20.493496 6.981381162 7.467934e+00
## 9301 93.00 20.474072 7.032564528 7.569118e+00
## 9302 93.01 20.466237 7.088574177 7.671596e+00
## 9303 93.02 20.470215 7.149039927 7.774659e+00
## 9304 93.03 20.486157 7.213557507 7.877559e+00
## 9305 93.04 20.514135 7.281688421 7.979517e+00
## 9306 93.05 20.554138 7.352960025 8.079719e+00
## 9307 93.06 20.606060 7.426865920 8.177325e+00
## 9308 93.07 20.669701 7.502866755 8.271472e+00
## 9309 93.08 20.744750 7.580391550 8.361280e+00
## 9310 93.09 20.830791 7.658839635 8.445865e+00
## 9311 93.10 20.927287 7.737583279 8.524343e+00
## 9312 93.11 21.033587 7.815971244 8.595849e+00
## 9313 93.12 21.148916 7.893332694 8.659542e+00
## 9314 93.13 21.272380 7.968983021 8.714625e+00
## 9315 93.14 21.402967 8.042229609 8.760361e+00
## 9316 93.15 21.539552 8.112378799 8.796084e+00
## 9317 93.16 21.680908 8.178743835 8.821218e+00
## 9318 93.17 21.825712 8.240653469 8.835292e+00
## 9319 93.18 21.972563 8.297461176 8.837954e+00
## 9320 93.19 22.119997 8.348554787 8.828985e+00
## 9321 93.20 22.266508 8.393366350 8.808309e+00
## 9322 93.21 22.410567 8.431381932 8.775999e+00
## 9323 93.22 22.550648 8.462151108 8.732286e+00
## 9324 93.23 22.685251 8.485295824 8.677558e+00
## 9325 93.24 22.812929 8.500518357 8.612355e+00
## 9326 93.25 22.932309 8.507608069 8.537368e+00
## 9327 93.26 23.042119 8.506446713 8.453423e+00
## 9328 93.27 23.141206 8.497012057 8.361470e+00
## 9329 93.28 23.228559 8.479379684 8.262565e+00
## 9330 93.29 23.303319 8.453722845 8.157851e+00
## 9331 93.30 23.364798 8.420310350 8.048535e+00
## 9332 93.31 23.412478 8.379502527 7.935867e+00
## 9333 93.32 23.446022 8.331745378 7.821114e+00
## 9334 93.33 23.465269 8.277563091 7.705540e+00
## 9335 93.34 23.470235 8.217549159 7.590384e+00
## 9336 93.35 23.461097 8.152356379 7.476837e+00
## 9337 93.36 23.438189 8.082686041 7.366031e+00
## 9338 93.37 23.401987 8.009276632 7.259019e+00
## 9339 93.38 23.353093 7.932892365 7.156764e+00
## 9340 93.39 23.292220 7.854311861 7.060135e+00
## 9341 93.40 23.220174 7.774317245 6.969895e+00
## 9342 93.41 23.137840 7.693683898 6.886705e+00
## 9343 93.42 23.046162 7.613171067 6.811119e+00
## 9344 93.43 22.946132 7.533513527 6.743588e+00
## 9345 93.44 22.838772 7.455414302 6.684465e+00
## 9346 93.45 22.725123 7.379538552 6.634011e+00
## 9347 93.46 22.606234 7.306508646 6.592398e+00
## 9348 93.47 22.483153 7.236900380 6.559723e+00
## 9349 93.48 22.356917 7.171240275 6.536008e+00
## 9350 93.49 22.228547 7.110003857 6.521214e+00
## 9351 93.50 22.099040 7.053614831 6.515244e+00
## 9352 93.51 21.969371 7.002445010 6.517953e+00
## 9353 93.52 21.840482 6.956814881 6.529154e+00
## 9354 93.53 21.713286 6.916994688 6.548620e+00
## 9355 93.54 21.588664 6.883205883 6.576094e+00
## 9356 93.55 21.467460 6.855622853 6.611289e+00
## 9357 93.56 21.350487 6.834374787 6.653890e+00
## 9358 93.57 21.238524 6.819547616 6.703562e+00
## 9359 93.58 21.132313 6.811185908 6.759945e+00
## 9360 93.59 21.032562 6.809294668 6.822656e+00
## 9361 93.60 20.939944 6.813840987 6.891290e+00
## 9362 93.61 20.855094 6.824755479 6.965421e+00
## 9363 93.62 20.778611 6.841933492 7.044596e+00
## 9364 93.63 20.711055 6.865236079 7.128337e+00
## 9365 93.64 20.652942 6.894490707 7.216139e+00
## 9366 93.65 20.604747 6.929491747 7.307467e+00
## 9367 93.66 20.566897 6.970000731 7.401754e+00
## 9368 93.67 20.539766 7.015746435 7.498401e+00
## 9369 93.68 20.523677 7.066424825 7.596776e+00
## 9370 93.69 20.518887 7.121698915 7.696212e+00
## 9371 93.70 20.525591 7.181198632 7.796007e+00
## 9372 93.71 20.543910 7.244520717 7.895426e+00
## 9373 93.72 20.573888 7.311228787 7.993702e+00
## 9374 93.73 20.615483 7.380853608 8.090040e+00
## 9375 93.74 20.668563 7.452893713 8.183621e+00
## 9376 93.75 20.732899 7.526816431 8.273605e+00
## 9377 93.76 20.808158 7.602059443 8.359146e+00
## 9378 93.77 20.893900 7.678032914 8.439390e+00
## 9379 93.78 20.989572 7.754122456 8.513494e+00
## 9380 93.79 21.094508 7.829692394 8.580632e+00
## 9381 93.80 21.207926 7.904090738 8.640012e+00
## 9382 93.81 21.328930 7.976654156 8.690886e+00
## 9383 93.82 21.456513 8.046714063 8.732567e+00
## 9384 93.83 21.589565 8.113603643 8.764445e+00
## 9385 93.84 21.726877 8.176665555 8.785995e+00
## 9386 93.85 21.867158 8.235260288 8.796802e+00
## 9387 93.86 22.009043 8.288775036 8.796565e+00
## 9388 93.87 22.151118 8.336632896 8.785113e+00
## 9389 93.88 22.291928 8.378302198 8.762412e+00
## 9390 93.89 22.430009 8.413305700 8.728575e+00
## 9391 93.90 22.563902 8.441229393 8.683862e+00
## 9392 93.91 22.692182 8.461730650 8.628682e+00
## 9393 93.92 22.813479 8.474545432 8.563590e+00
## 9394 93.93 22.926498 8.479494303 8.489277e+00
## 9395 93.94 23.030049 8.476487021 8.406563e+00
## 9396 93.95 23.123055 8.465525514 8.316380e+00
## 9397 93.96 23.204581 8.446705111 8.219758e+00
## 9398 93.97 23.273839 8.420213940 8.117804e+00
## 9399 93.98 23.330201 8.386330489 8.011681e+00
## 9400 93.99 23.373208 8.345419386 7.902590e+00
## 9401 94.00 23.402570 8.297925505 7.791742e+00
## 9402 94.01 23.418164 8.244366596 7.680344e+00
## 9403 94.02 23.420033 8.185324645 7.569572e+00
## 9404 94.03 23.408374 8.121436255 7.460558e+00
## 9405 94.04 23.383533 8.053382308 7.354374e+00
## 9406 94.05 23.345984 7.981877237 7.252014e+00
## 9407 94.06 23.296324 7.907658188 7.154390e+00
## 9408 94.07 23.235252 7.831474352 7.062319e+00
## 9409 94.08 23.163553 7.754076740 6.976520e+00
## 9410 94.09 23.082088 7.676208588 6.897614e+00
## 9411 94.10 22.991773 7.598596601 6.826122e+00
## 9412 94.11 22.893565 7.521943151 6.762468e+00
## 9413 94.12 22.788454 7.446919512 6.706980e+00
## 9414 94.13 22.677445 7.374160200 6.659902e+00
## 9415 94.14 22.561552 7.304258390 6.621394e+00
## 9416 94.15 22.441785 7.237762409 6.591542e+00
## 9417 94.16 22.319148 7.175173224 6.570363e+00
## 9418 94.17 22.194626 7.116942847 6.557816e+00
## 9419 94.18 22.069185 7.063473565 6.553802e+00
## 9420 94.19 21.943765 7.015117863 6.558180e+00
## 9421 94.20 21.819278 6.972178943 6.570763e+00
## 9422 94.21 21.696610 6.934911701 6.591329e+00
## 9423 94.22 21.576610 6.903524064 6.619624e+00
## 9424 94.23 21.460100 6.878178559 6.655366e+00
## 9425 94.24 21.347864 6.858994029 6.698244e+00
## 9426 94.25 21.240656 6.846047395 6.747926e+00
## 9427 94.26 21.139195 6.839375389 6.804054e+00
## 9428 94.27 21.044164 6.838976201 6.866249e+00
## 9429 94.28 20.956212 6.844810972 6.934109e+00
## 9430 94.29 20.875951 6.856805110 7.007208e+00
## 9431 94.30 20.803954 6.874849397 7.085094e+00
## 9432 94.31 20.740757 6.898800871 7.167292e+00
## 9433 94.32 20.686852 6.928483492 7.253297e+00
## 9434 94.33 20.642687 6.963688597 7.342576e+00
## 9435 94.34 20.608662 7.004175168 7.434564e+00
## 9436 94.35 20.585125 7.049669953 7.528668e+00
## 9437 94.36 20.572368 7.099867483 7.624258e+00
## 9438 94.37 20.570622 7.154430028 7.720674e+00
## 9439 94.38 20.580052 7.212987587 7.817224e+00
## 9440 94.39 20.600749 7.275137950 7.913185e+00
## 9441 94.40 20.632726 7.340446932 8.007803e+00
## 9442 94.41 20.675915 7.408448849 8.100303e+00
## 9443 94.42 20.730155 7.478647344 8.189886e+00
## 9444 94.43 20.795190 7.550516671 8.275741e+00
## 9445 94.44 20.870665 7.623503312 8.357047e+00
## 9446 94.45 20.956116 7.697028588 8.432988e+00
## 9447 94.46 21.050976 7.770491575 8.502758e+00
## 9448 94.47 21.154565 7.843272845 8.565575e+00
## 9449 94.48 21.266094 7.914739046 8.620690e+00
## 9450 94.49 21.384667 7.984248243 8.667406e+00
## 9451 94.50 21.509283 8.051156033 8.705086e+00
## 9452 94.51 21.638844 8.114822416 8.733172e+00
## 9453 94.52 21.772165 8.174619332 8.751193e+00
## 9454 94.53 21.907984 8.229938765 8.758786e+00
## 9455 94.54 22.044975 8.280201270 8.755699e+00
## 9456 94.55 22.181768 8.324864736 8.741808e+00
## 9457 94.56 22.316966 8.363433185 8.717122e+00
## 9458 94.57 22.449164 8.395465367 8.681789e+00
## 9459 94.58 22.576972 8.420582914 8.636097e+00
## 9460 94.59 22.699035 8.438477776 8.580476e+00
## 9461 94.60 22.814060 8.448918716 8.515491e+00
## 9462 94.61 22.920830 8.451756617 8.441837e+00
## 9463 94.62 23.018229 8.446928410 8.360326e+00
## 9464 94.63 23.105261 8.434459382 8.271872e+00
## 9465 94.64 23.181059 8.414463895 8.177479e+00
## 9466 94.65 23.244905 8.387144385 8.078219e+00
## 9467 94.66 23.296233 8.352788616 7.975214e+00
## 9468 94.67 23.334636 8.311765281 7.869614e+00
## 9469 94.68 23.359872 8.264518086 7.762579e+00
## 9470 94.69 23.371854 8.211558491 7.655258e+00
## 9471 94.70 23.370653 8.153457321 7.548771e+00
## 9472 94.71 23.356487 8.090835498 7.444189e+00
## 9473 94.72 23.329708 8.024354176 7.342527e+00
## 9474 94.73 23.290795 7.954704547 7.244725e+00
## 9475 94.74 23.240339 7.882597603 7.151641e+00
## 9476 94.75 23.179024 7.808754099 7.064044e+00
## 9477 94.76 23.107620 7.733894959 6.982611e+00
## 9478 94.77 23.026962 7.658732313 6.907923e+00
## 9479 94.78 22.937938 7.583961318 6.840469e+00
## 9480 94.79 22.841477 7.510252900 6.780644e+00
## 9481 94.80 22.738535 7.438247481 6.728756e+00
## 9482 94.81 22.630084 7.368549721 6.685028e+00
## 9483 94.82 22.517103 7.301724284 6.649607e+00
## 9484 94.83 22.400568 7.238292590 6.622569e+00
## 9485 94.84 22.281448 7.178730490 6.603926e+00
## 9486 94.85 22.160695 7.123466805 6.593632e+00
## 9487 94.86 22.039242 7.072882601 6.591588e+00
## 9488 94.87 21.917998 7.027311123 6.597652e+00
## 9489 94.88 21.797847 6.987038269 6.611639e+00
## 9490 94.89 21.679642 6.952303481 6.633330e+00
## 9491 94.90 21.564207 6.923300971 6.662474e+00
## 9492 94.91 21.452336 6.900181154 6.698791e+00
## 9493 94.92 21.344788 6.883052227 6.741976e+00
## 9494 94.93 21.242292 6.871981724 6.791696e+00
## 9495 94.94 21.145540 6.866998215 6.847598e+00
## 9496 94.95 21.055192 6.868092686 6.909306e+00
## 9497 94.96 20.971873 6.875219919 6.976417e+00
## 9498 94.97 20.896170 6.888299741 7.048508e+00
## 9499 94.98 20.828632 6.907218010 7.125129e+00
## 9500 94.99 20.769769 6.931827431 7.205805e+00
## 9501 95.00 20.720047 6.961948169 7.290032e+00
## 9502 95.01 20.679889 6.997368290 7.377280e+00
## 9503 95.02 20.649666 7.037844040 7.466988e+00
## 9504 95.03 20.629700 7.083100011 7.558564e+00
## 9505 95.04 20.620255 7.132829223 7.651386e+00
## 9506 95.05 20.621530 7.186693190 7.744800e+00
## 9507 95.06 20.633663 7.244322031 7.838124e+00
## 9508 95.07 20.656714 7.305314687 7.930646e+00
## 9509 95.08 20.690670 7.369239328 8.021630e+00
## 9510 95.09 20.735430 7.435634031 8.110318e+00
## 9511 95.10 20.790809 7.504007808 8.195934e+00
## 9512 95.11 20.856524 7.573842063 8.277692e+00
## 9513 95.12 20.932196 7.644592556 8.354805e+00
## 9514 95.13 21.017344 7.715692049 8.426488e+00
## 9515 95.14 21.111382 7.786553220 8.491975e+00
## 9516 95.15 21.213620 7.856573049 8.550524e+00
## 9517 95.16 21.323264 7.925137186 8.601434e+00
## 9518 95.17 21.439415 7.991625299 8.644056e+00
## 9519 95.18 21.561083 8.055417231 8.677802e+00
## 9520 95.19 21.687182 8.115899775 8.702166e+00
## 9521 95.20 21.816551 8.172474023 8.716730e+00
## 9522 95.21 21.947957 8.224563205 8.721179e+00
## 9523 95.22 22.080115 8.271620858 8.715311e+00
## 9524 95.23 22.211700 8.313139145 8.699046e+00
## 9525 95.24 22.341369 8.348657139 8.672433e+00
## 9526 95.25 22.467778 8.377768827 8.635653e+00
## 9527 95.26 22.589602 8.400130616 8.589024e+00
## 9528 95.27 22.705559 8.415468098 8.532992e+00
## 9529 95.28 22.814426 8.423581852 8.468133e+00
## 9530 95.29 22.915065 8.424352068 8.395144e+00
## 9531 95.30 23.006434 8.417741814 8.314825e+00
## 9532 95.31 23.087609 8.403798828 8.228077e+00
## 9533 95.32 23.157795 8.382655736 8.135876e+00
## 9534 95.33 23.216338 8.354528561 8.039259e+00
## 9535 95.34 23.262731 8.319713758 7.939308e+00
## 9536 95.35 23.296622 8.278583694 7.837126e+00
## 9537 95.36 23.317810 8.231580716 7.733822e+00
## 9538 95.37 23.326245 8.179209997 7.630489e+00
## 9539 95.38 23.322027 8.122031390 7.528191e+00
## 9540 95.39 23.305389 8.060650516 7.427945e+00
## 9541 95.40 23.276695 7.995709346 7.330708e+00
## 9542 95.41 23.236427 7.927876523 7.237366e+00
## 9543 95.42 23.185169 7.857837696 7.148728e+00
## 9544 95.43 23.123595 7.786286080 7.065517e+00
## 9545 95.44 23.052455 7.713913464 6.988368e+00
## 9546 95.45 22.972564 7.641401845 6.917824e+00
## 9547 95.46 22.884784 7.569415809 6.854341e+00
## 9548 95.47 22.790014 7.498595799 6.798288e+00
## 9549 95.48 22.689180 7.429552269 6.749949e+00
## 9550 95.49 22.583221 7.362860837 6.709530e+00
## 9551 95.50 22.473084 7.299058373 6.677165e+00
## 9552 95.51 22.359711 7.238640005 6.652918e+00
## 9553 95.52 22.244037 7.182056982 6.636795e+00
## 9554 95.53 22.126983 7.129715320 6.628744e+00
## 9555 95.54 22.009449 7.081975153 6.628666e+00
## 9556 95.55 21.892315 7.039150662 6.636417e+00
## 9557 95.56 21.776434 7.001510518 6.651814e+00
## 9558 95.57 21.662631 6.969278698 6.674639e+00
## 9559 95.58 21.551702 6.942635607 6.704643e+00
## 9560 95.59 21.444415 6.921719393 6.741549e+00
## 9561 95.60 21.341502 6.906627372 6.785053e+00
## 9562 95.61 21.243667 6.897417504 6.834827e+00
## 9563 95.62 21.151577 6.894109829 6.890519e+00
## 9564 95.63 21.065868 6.896687835 6.951752e+00
## 9565 95.64 20.987139 6.905099696 7.018129e+00
## 9566 95.65 20.915953 6.919259369 7.089225e+00
## 9567 95.66 20.852833 6.939047516 7.164592e+00
## 9568 95.67 20.798265 6.964312257 7.243756e+00
## 9569 95.68 20.752688 6.994869749 7.326217e+00
## 9570 95.69 20.716497 7.030504608 7.411444e+00
## 9571 95.70 20.690038 7.070970225 7.498881e+00
## 9572 95.71 20.673604 7.115988963 7.587939e+00
## 9573 95.72 20.667428 7.165252311 7.678004e+00
## 9574 95.73 20.671684 7.218421073 7.768429e+00
## 9575 95.74 20.686477 7.275125596 7.858542e+00
## 9576 95.75 20.711841 7.334966135 7.947645e+00
## 9577 95.76 20.747731 7.397513438 8.035017e+00
## 9578 95.77 20.794021 7.462309608 8.119920e+00
## 9579 95.78 20.850497 7.528869314 8.201601e+00
## 9580 95.79 20.916853 7.596681514 8.279301e+00
## 9581 95.80 20.992686 7.665211418 8.352263e+00
## 9582 95.81 21.077497 7.733903547 8.419739e+00
## 9583 95.82 21.170685 7.802184927 8.480999e+00
## 9584 95.83 21.271550 7.869469093 8.535345e+00
## 9585 95.84 21.379292 7.935160851 8.582121e+00
## 9586 95.85 21.493018 7.998661682 8.620724e+00
## 9587 95.86 21.611741 8.059375784 8.650617e+00
## 9588 95.87 21.734394 8.116716731 8.671343e+00
## 9589 95.88 21.859839 8.170114633 8.682535e+00
## 9590 95.89 21.986874 8.219023694 8.683927e+00
## 9591 95.90 22.114252 8.262930020 8.675362e+00
## 9592 95.91 22.240696 8.301359495 8.656805e+00
## 9593 95.92 22.364916 8.333885547 8.628341e+00
## 9594 95.93 22.485627 8.360136575 8.590185e+00
## 9595 95.94 22.601571 8.379802829 8.542676e+00
## 9596 95.95 22.711534 8.392642521 8.486281e+00
## 9597 95.96 22.814365 8.398486964 8.421584e+00
## 9598 95.97 22.908999 8.397244558 8.349280e+00
## 9599 95.98 22.994467 8.388903468 8.270162e+00
## 9600 95.99 23.069915 8.373532809 8.185111e+00
## 9601 96.00 23.134617 8.351282418 8.095078e+00
## 9602 96.01 23.187981 8.322381090 8.001067e+00
## 9603 96.02 23.229557 8.287133322 7.904119e+00
## 9604 96.03 23.259044 8.245914648 7.805291e+00
## 9605 96.04 23.276282 8.199165717 7.705643e+00
## 9606 96.05 23.281258 8.147385279 7.606216e+00
## 9607 96.06 23.274094 8.091122283 7.508018e+00
## 9608 96.07 23.255044 8.030967311 7.412012e+00
## 9609 96.08 23.224481 7.967543584 7.319103e+00
## 9610 96.09 23.182888 7.901497789 7.230125e+00
## 9611 96.10 23.130845 7.833490954 7.145839e+00
## 9612 96.11 23.069014 7.764189580 7.066921e+00
## 9613 96.12 22.998131 7.694257226 6.993967e+00
## 9614 96.13 22.918987 7.624346696 6.927485e+00
## 9615 96.14 22.832422 7.555092954 6.867898e+00
## 9616 96.15 22.739306 7.487106865 6.815549e+00
## 9617 96.16 22.640535 7.420969812 6.770699e+00
## 9618 96.17 22.537018 7.357229204 6.733537e+00
## 9619 96.18 22.429669 7.296394869 6.704182e+00
## 9620 96.19 22.319399 7.238936303 6.682689e+00
## 9621 96.20 22.207111 7.185280708 6.669055e+00
## 9622 96.21 22.093694 7.135811757 6.663224e+00
## 9623 96.22 21.980018 7.090869000 6.665094e+00
## 9624 96.23 21.866931 7.050747808 6.674518e+00
## 9625 96.24 21.755259 7.015699782 6.691316e+00
## 9626 96.25 21.645797 6.985933505 6.715269e+00
## 9627 96.26 21.539316 6.961615569 6.746131e+00
## 9628 96.27 21.436554 6.942871779 6.783625e+00
## 9629 96.28 21.338221 6.929788466 6.827449e+00
## 9630 96.29 21.244992 6.922413785 6.877278e+00
## 9631 96.30 21.157511 6.920759126 6.932761e+00
## 9632 96.31 21.076388 6.924800260 6.993523e+00
## 9633 96.32 21.002197 6.934478483 7.059166e+00
## 9634 96.33 20.935476 6.949701659 7.129269e+00
## 9635 96.34 20.876724 6.970345051 7.203384e+00
## 9636 96.35 20.826398 6.996252018 7.281039e+00
## 9637 96.36 20.784913 7.027234565 7.361734e+00
## 9638 96.37 20.752636 7.063073771 7.444943e+00
## 9639 96.38 20.729886 7.103520111 7.530111e+00
## 9640 96.39 20.716927 7.148293718 7.616658e+00
## 9641 96.40 20.713964 7.197084622 7.703972e+00
## 9642 96.41 20.721141 7.249553023 7.791418e+00
## 9643 96.42 20.738536 7.305329661 7.878334e+00
## 9644 96.43 20.766151 7.364016329 7.964035e+00
## 9645 96.44 20.803916 7.425186629 8.047818e+00
## 9646 96.45 20.851674 7.488387011 8.128964e+00
## 9647 96.46 20.909188 7.553138183 8.206745e+00
## 9648 96.47 20.976126 7.618936965 8.280430e+00
## 9649 96.48 21.052066 7.685258613 8.349291e+00
## 9650 96.49 21.136490 7.751559825 8.412617e+00
## 9651 96.50 21.228784 7.817281922 8.469716e+00
## 9652 96.51 21.328239 7.881855499 8.519933e+00
## 9653 96.52 21.434053 7.944704898 8.562654e+00
## 9654 96.53 21.545333 8.005253575 8.597325e+00
## 9655 96.54 21.661105 8.062930160 8.623457e+00
## 9656 96.55 21.780319 8.117174982 8.640642e+00
## 9657 96.56 21.901859 8.167447009 8.648561e+00
## 9658 96.57 22.024556 8.213231117 8.646995e+00
## 9659 96.58 22.147204 8.254045527 8.635834e+00
## 9660 96.59 22.268571 8.289449240 8.615080e+00
## 9661 96.60 22.387421 8.319049286 8.584856e+00
## 9662 96.61 22.502527 8.342507589 8.545405e+00
## 9663 96.62 22.612697 8.359547236 8.497092e+00
## 9664 96.63 22.716782 8.369957963 8.440396e+00
## 9665 96.64 22.813703 8.373600658 8.375909e+00
## 9666 96.65 22.902465 8.370410733 8.304324e+00
## 9667 96.66 22.982169 8.360400218 8.226426e+00
## 9668 96.67 23.052031 8.343658497 8.143076e+00
## 9669 96.68 23.111389 8.320351625 8.055199e+00
## 9670 96.69 23.159711 8.290720230 7.963766e+00
## 9671 96.70 23.196603 8.255076039 7.869778e+00
## 9672 96.71 23.221809 8.213797134 7.774249e+00
## 9673 96.72 23.235212 8.167322043 7.678190e+00
## 9674 96.73 23.236831 8.116142873 7.582590e+00
## 9675 96.74 23.226812 8.060797643 7.488407e+00
## 9676 96.75 23.205427 8.001862060 7.396551e+00
## 9677 96.76 23.173058 7.939940949 7.307874e+00
## 9678 96.77 23.130190 7.875659554 7.223162e+00
## 9679 96.78 23.077397 7.809654934 7.143129e+00
## 9680 96.79 23.015332 7.742567637 7.068409e+00
## 9681 96.80 22.944715 7.675033830 6.999558e+00
## 9682 96.81 22.866316 7.607678017 6.937049e+00
## 9683 96.82 22.780952 7.541106460 6.881275e+00
## 9684 96.83 22.689467 7.475901377 6.832553e+00
## 9685 96.84 22.592728 7.412615966 6.791123e+00
## 9686 96.85 22.491615 7.351770260 6.757155e+00
## 9687 96.86 22.387011 7.293847817 6.730755e+00
## 9688 96.87 22.279796 7.239293186 6.711966e+00
## 9689 96.88 22.170842 7.188510123 6.700779e+00
## 9690 96.89 22.061007 7.141860462 6.697131e+00
## 9691 96.90 21.951131 7.099663577 6.700917e+00
## 9692 96.91 21.842034 7.062196342 6.711990e+00
## 9693 96.92 21.734511 7.029693511 6.730166e+00
## 9694 96.93 21.629332 7.002348412 6.755229e+00
## 9695 96.94 21.527239 6.980313888 6.786932e+00
## 9696 96.95 21.428944 6.963703403 6.825001e+00
## 9697 96.96 21.335130 6.952592237 6.869135e+00
## 9698 96.97 21.246448 6.947018675 6.919009e+00
## 9699 96.98 21.163516 6.946985291 6.974274e+00
## 9700 96.99 21.086919 6.952459994 7.034556e+00
## 9701 97.00 21.017207 6.963377073 7.099458e+00
## 9702 97.01 20.954890 6.979638153 7.168561e+00
## 9703 97.02 20.900443 7.001112964 7.241417e+00
## 9704 97.03 20.854296 7.027639993 7.317556e+00
## 9705 97.04 20.816838 7.059027014 7.396481e+00
## 9706 97.05 20.788409 7.095051524 7.477667e+00
## 9707 97.06 20.769299 7.135461093 7.560566e+00
## 9708 97.07 20.759744 7.179973682 7.644601e+00
## 9709 97.08 20.759922 7.228277965 7.729169e+00
## 9710 97.09 20.769947 7.280033713 7.813643e+00
## 9711 97.10 20.789867 7.334872280 7.897373e+00
## 9712 97.11 20.819658 7.392397280 7.979690e+00
## 9713 97.12 20.859220 7.452185492 8.059908e+00
## 9714 97.13 20.908371 7.513788080 8.137328e+00
## 9715 97.14 20.966847 7.576732185 8.211248e+00
## 9716 97.15 21.034295 7.640522941 8.280963e+00
## 9717 97.16 21.110273 7.704645979 8.345780e+00
## 9718 97.17 21.194246 7.768570580 8.405020e+00
## 9719 97.18 21.285589 7.831752958 8.458030e+00
## 9720 97.19 21.383585 7.893641024 8.504198e+00
## 9721 97.20 21.487431 7.953678874 8.542954e+00
## 9722 97.21 21.596238 8.011312137 8.573790e+00
## 9723 97.22 21.709044 8.065993961 8.596263e+00
## 9724 97.23 21.824816 8.117191379 8.610015e+00
## 9725 97.24 21.942465 8.164392028 8.614772e+00
## 9726 97.25 22.060854 8.207111115 8.610361e+00
## 9727 97.26 22.178817 8.244898478 8.596714e+00
## 9728 97.27 22.295169 8.277345574 8.573871e+00
## 9729 97.28 22.408726 8.304092229 8.541990e+00
## 9730 97.29 22.518322 8.324832942 8.501340e+00
## 9731 97.30 22.622824 8.339322567 8.452307e+00
## 9732 97.31 22.721152 8.347381198 8.395384e+00
## 9733 97.32 22.812294 8.348898066 8.331168e+00
## 9734 97.33 22.895324 8.343834339 8.260348e+00
## 9735 97.34 22.969411 8.332224684 8.183699e+00
## 9736 97.35 23.033837 8.314177531 8.102063e+00
## 9737 97.36 23.088000 8.289874012 8.016338e+00
## 9738 97.37 23.131429 8.259565570 7.927464e+00
## 9739 97.38 23.163780 8.223570305 7.836401e+00
## 9740 97.39 23.184843 8.182268152 7.744122e+00
## 9741 97.40 23.194540 8.136095020 7.651589e+00
## 9742 97.41 23.192919 8.085536066 7.559743e+00
## 9743 97.42 23.180152 8.031118283 7.469492e+00
## 9744 97.43 23.156525 7.973402603 7.381695e+00
## 9745 97.44 23.122429 7.912975737 7.297155e+00
## 9746 97.45 23.078350 7.850441937 7.216611e+00
## 9747 97.46 23.024858 7.786414891 7.140732e+00
## 9748 97.47 22.962597 7.721509910 7.070111e+00
## 9749 97.48 22.892269 7.656336577 7.005265e+00
## 9750 97.49 22.814627 7.591491964 6.946636e+00
## 9751 97.50 22.730465 7.527554526 6.894587e+00
## 9752 97.51 22.640601 7.465078736 6.849408e+00
## 9753 97.52 22.545875 7.404590484 6.811319e+00
## 9754 97.53 22.447139 7.346583271 6.780474e+00
## 9755 97.54 22.345245 7.291515161 6.756963e+00
## 9756 97.55 22.241045 7.239806473 6.740820e+00
## 9757 97.56 22.135380 7.191838144 6.732026e+00
## 9758 97.57 22.029078 7.147950707 6.730514e+00
## 9759 97.58 21.922950 7.108443815 6.736174e+00
## 9760 97.59 21.817788 7.073576209 6.748857e+00
## 9761 97.60 21.714358 7.043566070 6.768379e+00
## 9762 97.61 21.613402 7.018591669 6.794522e+00
## 9763 97.62 21.515636 6.998792227 6.827041e+00
## 9764 97.63 21.421746 6.984268929 6.865661e+00
## 9765 97.64 21.332389 6.975086015 6.910083e+00
## 9766 97.65 21.248191 6.971271869 6.959982e+00
## 9767 97.66 21.169743 6.972820187 7.015010e+00
## 9768 97.67 21.097606 6.979690938 7.074795e+00
## 9769 97.68 21.032304 6.991811316 7.138940e+00
## 9770 97.69 20.974321 7.009076623 7.207027e+00
## 9771 97.70 20.924107 7.031350985 7.278610e+00
## 9772 97.71 20.882066 7.058467968 7.353221e+00
## 9773 97.72 20.848559 7.090231102 7.430364e+00
## 9774 97.73 20.823899 7.126414323 7.509520e+00
## 9775 97.74 20.808348 7.166762360 7.590144e+00
## 9776 97.75 20.802115 7.210991122 7.671664e+00
## 9777 97.76 20.805348 7.258788097 7.753487e+00
## 9778 97.77 20.818132 7.309812845 7.834996e+00
## 9779 97.78 20.840489 7.363697615 7.915553e+00
## 9780 97.79 20.872365 7.420048163 7.994504e+00
## 9781 97.80 20.913632 7.478444818 8.071182e+00
## 9782 97.81 20.964086 7.538443869 8.144910e+00
## 9783 97.82 21.023436 7.599579316 8.215010e+00
## 9784 97.83 21.091309 7.661365066 8.280808e+00
## 9785 97.84 21.167244 7.723297571 8.341640e+00
## 9786 97.85 21.250691 7.784859125 8.396864e+00
## 9787 97.86 21.341015 7.845521236 8.445867e+00
## 9788 97.87 21.437494 7.904749469 8.488075e+00
## 9789 97.88 21.539323 7.962007938 8.522964e+00
## 9790 97.89 21.645622 8.016764613 8.550070e+00
## 9791 97.90 21.755440 8.068497210 8.568998e+00
## 9792 97.91 21.867764 8.116699386 8.579434e+00
## 9793 97.92 21.981532 8.160887215 8.581150e+00
## 9794 97.93 22.095640 8.200605848 8.574016e+00
## 9795 97.94 22.208962 8.235436187 8.558004e+00
## 9796 97.95 22.320360 8.265001437 8.533191e+00
## 9797 97.96 22.428705 8.288973349 8.499765e+00
## 9798 97.97 22.532885 8.307077988 8.458021e+00
## 9799 97.98 22.631831 8.319100848 8.408363e+00
## 9800 97.99 22.724526 8.324891154 8.351295e+00
## 9801 98.00 22.810027 8.324365194 8.287418e+00
## 9802 98.01 22.887470 8.317508572 8.217417e+00
## 9803 98.02 22.956093 8.304377280 8.142054e+00
## 9804 98.03 23.015239 8.285097538 8.062152e+00
## 9805 98.04 23.064368 8.259864373 7.978583e+00
## 9806 98.05 23.103061 8.228938983 7.892253e+00
## 9807 98.06 23.131025 8.192644925 7.804086e+00
## 9808 98.07 23.148093 8.151363251 7.715011e+00
## 9809 98.08 23.154223 8.105526697 7.625946e+00
## 9810 98.09 23.149493 8.055613123 7.537784e+00
## 9811 98.10 23.134096 8.002138343 7.451384e+00
## 9812 98.11 23.108332 7.945648564 7.367557e+00
## 9813 98.12 23.072600 7.886712620 7.287059e+00
## 9814 98.13 23.027388 7.825914176 7.210584e+00
## 9815 98.14 22.973261 7.763844099 7.138758e+00
## 9816 98.15 22.910853 7.701093136 7.072134e+00
## 9817 98.16 22.840851 7.638245053 7.011194e+00
## 9818 98.17 22.763990 7.575870325 6.956346e+00
## 9819 98.18 22.681040 7.514520472 6.907927e+00
## 9820 98.19 22.592798 7.454723102 6.866202e+00
## 9821 98.20 22.500077 7.396977673 6.831370e+00
## 9822 98.21 22.403699 7.341751990 6.803568e+00
## 9823 98.22 22.304490 7.289479415 6.782873e+00
## 9824 98.23 22.203271 7.240556757 6.769308e+00
## 9825 98.24 22.100856 7.195342785 6.762845e+00
## 9826 98.25 21.998043 7.154157305 6.763412e+00
## 9827 98.26 21.895615 7.117280731 6.770896e+00
## 9828 98.27 21.794334 7.084954068 6.785142e+00
## 9829 98.28 21.694941 7.057379264 6.805967e+00
## 9830 98.29 21.598151 7.034719778 6.833151e+00
## 9831 98.30 21.504651 7.017101383 6.866449e+00
## 9832 98.31 21.415103 7.004613098 6.905587e+00
## 9833 98.32 21.330137 6.997308180 6.950266e+00
## 9834 98.33 21.250353 6.995205156 7.000161e+00
## 9835 98.34 21.176319 6.998288817 7.054926e+00
## 9836 98.35 21.108570 7.006511166 7.114188e+00
## 9837 98.36 21.047602 7.019792292 7.177553e+00
## 9838 98.37 20.993876 7.038021151 7.244602e+00
## 9839 98.38 20.947815 7.061056252 7.314892e+00
## 9840 98.39 20.909796 7.088726253 7.387956e+00
## 9841 98.40 20.880153 7.120830480 7.463302e+00
## 9842 98.41 20.859173 7.157139386 7.540415e+00
## 9843 98.42 20.847089 7.197394986 7.618754e+00
## 9844 98.43 20.844082 7.241311303 7.697756e+00
## 9845 98.44 20.850271 7.288574860 7.776834e+00
## 9846 98.45 20.865716 7.338845279 7.855383e+00
## 9847 98.46 20.890407 7.391756025 7.932780e+00
## 9848 98.47 20.924266 7.446915366 8.008385e+00
## 9849 98.48 20.967138 7.503907589 8.081551e+00
## 9850 98.49 21.018792 7.562294545 8.151624e+00
## 9851 98.50 21.078917 7.621617560 8.217952e+00
## 9852 98.51 21.147119 7.681399760 8.279888e+00
## 9853 98.52 21.222920 7.741148965 8.336802e+00
## 9854 98.53 21.305758 7.800360674 8.388087e+00
## 9855 98.54 21.394987 7.858522373 8.433169e+00
## 9856 98.55 21.489882 7.915117561 8.471515e+00
## 9857 98.56 21.589641 7.969630543 8.502643e+00
## 9858 98.57 21.693391 8.021551782 8.526134e+00
## 9859 98.58 21.800194 8.070383586 8.541637e+00
## 9860 98.59 21.909061 8.115646113 8.548883e+00
## 9861 98.60 22.018954 8.156883600 8.547687e+00
## 9862 98.61 22.128806 8.193670701 8.537961e+00
## 9863 98.62 22.237532 8.225618781 8.519713e+00
## 9864 98.63 22.344040 8.252382023 8.493056e+00
## 9865 98.64 22.447252 8.273663180 8.458206e+00
## 9866 98.65 22.546116 8.289218820 8.415480e+00
## 9867 98.66 22.639620 8.298863895 8.365299e+00
## 9868 98.67 22.726812 8.302475483 8.308176e+00
## 9869 98.68 22.806811 8.299995593 8.244712e+00
## 9870 98.69 22.878820 8.291432907 8.175590e+00
## 9871 98.70 22.942138 8.276863394 8.101555e+00
## 9872 98.71 22.996168 8.256429758 8.023412e+00
## 9873 98.72 23.040428 8.230339711 7.942007e+00
## 9874 98.73 23.074551 8.198863111 7.858212e+00
## 9875 98.74 23.098291 8.162328032 7.772915e+00
## 9876 98.75 23.111522 8.121115865 7.687002e+00
## 9877 98.76 23.114234 8.075655595 7.601349e+00
## 9878 98.77 23.106534 8.026417397 7.516802e+00
## 9879 98.78 23.088634 7.973905725 7.434174e+00
## 9880 98.79 23.060848 7.918652079 7.354230e+00
## 9881 98.80 23.023583 7.861207612 7.277680e+00
## 9882 98.81 22.977327 7.802135774 7.205175e+00
## 9883 98.82 22.922639 7.742005125 7.137299e+00
## 9884 98.83 22.860143 7.681382494 7.074568e+00
## 9885 98.84 22.790513 7.620826563 7.017431e+00
## 9886 98.85 22.714466 7.560882015 6.966263e+00
## 9887 98.86 22.632751 7.502074289 6.921375e+00
## 9888 98.87 22.546140 7.444904994 6.883008e+00
## 9889 98.88 22.455421 7.389848013 6.851343e+00
## 9890 98.89 22.361391 7.337346289 6.826499e+00
## 9891 98.90 22.264847 7.287809273 6.808540e+00
## 9892 98.91 22.166583 7.241610994 6.797477e+00
## 9893 98.92 22.067383 7.199088718 6.793276e+00
## 9894 98.93 21.968018 7.160542112 6.795858e+00
## 9895 98.94 21.869244 7.126232861 6.805104e+00
## 9896 98.95 21.771795 7.096384676 6.820859e+00
## 9897 98.96 21.676384 7.071183600 6.842935e+00
## 9898 98.97 21.583700 7.050778565 6.871113e+00
## 9899 98.98 21.494404 7.035282123 6.905147e+00
## 9900 98.99 21.409131 7.024771302 6.944761e+00
## 9901 99.00 21.328487 7.019288492 6.989657e+00
## 9902 99.01 21.253047 7.018842448 7.039512e+00
## 9903 99.02 21.183351 7.023409137 7.093979e+00
## 9904 99.03 21.119910 7.032932620 7.152687e+00
## 9905 99.04 21.063195 7.047325889 7.215241e+00
## 9906 99.05 21.013641 7.066471583 7.281225e+00
## 9907 99.06 20.971643 7.090222642 7.350197e+00
## 9908 99.07 20.937554 7.118402879 7.421692e+00
## 9909 99.08 20.911680 7.150807512 7.495223e+00
## 9910 99.09 20.894280 7.187203645 7.570277e+00
## 9911 99.10 20.885560 7.227330752 7.646320e+00
## 9912 99.11 20.885674 7.270901193 7.722797e+00
## 9913 99.12 20.894712 7.317600793 7.799130e+00
## 9914 99.13 20.912707 7.367089553 7.874726e+00
## 9915 99.14 20.939621 7.419002516 7.948976e+00
## 9916 99.15 20.975349 7.472950866 8.021258e+00
## 9917 99.16 21.019712 7.528523288 8.090943e+00
## 9918 99.17 21.072457 7.585287662 8.157402e+00
## 9919 99.18 21.133249 7.642793123 8.220007e+00
## 9920 99.19 21.201675 7.700572515 8.278143e+00
## 9921 99.20 21.277244 7.758145416 8.331212e+00
## 9922 99.21 21.359380 7.815021207 8.378642e+00
## 9923 99.22 21.447432 7.870703450 8.419897e+00
## 9924 99.23 21.540672 7.924693940 8.454484e+00
## 9925 99.24 21.638303 7.976497459 8.481965e+00
## 9926 99.25 21.739459 8.025627060 8.501962e+00
## 9927 99.26 21.843221 8.071609611 8.514169e+00
## 9928 99.27 21.948618 8.113991600 8.518358e+00
## 9929 99.28 22.054645 8.152345101 8.514387e+00
## 9930 99.29 22.160268 8.186273778 8.502206e+00
## 9931 99.30 22.264442 8.215418797 8.481860e+00
## 9932 99.31 22.366125 8.239464496 8.453491e+00
## 9933 99.32 22.464289 8.258143655 8.417343e+00
## 9934 99.33 22.557937 8.271242230 8.373753e+00
## 9935 99.34 22.646118 8.278603397 8.323155e+00
## 9936 99.35 22.727940 8.280130776 8.266071e+00
## 9937 99.36 22.802584 8.275790722 8.203101e+00
## 9938 99.37 22.869315 8.265613600 8.134919e+00
## 9939 99.38 22.927492 8.249693980 8.062260e+00
## 9940 99.39 22.976577 8.228189730 7.985905e+00
## 9941 99.40 23.016141 8.201320014 7.906674e+00
## 9942 99.41 23.045866 8.169362241 7.825407e+00
## 9943 99.42 23.065551 8.132648038 7.742955e+00
## 9944 99.43 23.075108 8.091558352 7.660166e+00
## 9945 99.44 23.074559 8.046517816 7.577871e+00
## 9946 99.45 23.064035 7.997988520 7.496873e+00
## 9947 99.46 23.043768 7.946463361 7.417939e+00
## 9948 99.47 23.014085 7.892459121 7.341790e+00
## 9949 99.48 22.975396 7.836509453 7.269093e+00
## 9950 99.49 22.928191 7.779157933 7.200457e+00
## 9951 99.50 22.873025 7.720951313 7.136427e+00
## 9952 99.51 22.810509 7.662433111 7.077485e+00
## 9953 99.52 22.741306 7.604137645 7.024044e+00
## 9954 99.53 22.666114 7.546584588 6.976452e+00
## 9955 99.54 22.585662 7.490274124 6.934992e+00
## 9956 99.55 22.500698 7.435682713 6.899885e+00
## 9957 99.56 22.411988 7.383259513 6.871291e+00
## 9958 99.57 22.320300 7.333423430 6.849314e+00
## 9959 99.58 22.226407 7.286560788 6.834004e+00
## 9960 99.59 22.131074 7.243023574 6.825363e+00
## 9961 99.60 22.035058 7.203128221 6.823348e+00
## 9962 99.61 21.939105 7.167154859 6.827873e+00
## 9963 99.62 21.843941 7.135346979 6.838816e+00
## 9964 99.63 21.750274 7.107911450 6.856016e+00
## 9965 99.64 21.658790 7.085018810 6.879285e+00
## 9966 99.65 21.570152 7.066803784 6.908402e+00
## 9967 99.66 21.484996 7.053365956 6.943119e+00
## 9968 99.67 21.403931 7.044770562 6.983162e+00
## 9969 99.68 21.327537 7.041049298 7.028231e+00
## 9970 99.69 21.256363 7.042201239 7.078003e+00
## 9971 99.70 21.190926 7.048193626 7.132132e+00
## 9972 99.71 21.131708 7.058962678 7.190248e+00
## 9973 99.72 21.079158 7.074414366 7.251957e+00
## 9974 99.73 21.033683 7.094425095 7.316843e+00
## 9975 99.74 20.995653 7.118842327 7.384467e+00
## 9976 99.75 20.965393 7.147485152 7.454368e+00
## 9977 99.76 20.943184 7.180144823 7.526061e+00
## 9978 99.77 20.929256 7.216585276 7.599040e+00
## 9979 99.78 20.923790 7.256543669 7.672775e+00
## 9980 99.79 20.926909 7.299730961 7.746721e+00
## 9981 99.80 20.938679 7.345832593 7.820310e+00
## 9982 99.81 20.959103 7.394509297 7.892961e+00
## 9983 99.82 20.988119 7.445398095 7.964079e+00
## 9984 99.83 21.025596 7.498113520 8.033062e+00
## 9985 99.84 21.071330 7.552249120 8.099302e+00
## 9986 99.85 21.125045 7.607379291 8.162191e+00
## 9987 99.86 21.186388 7.663061466 8.221130e+00
## 9988 99.87 21.254929 7.718838700 8.275533e+00
## 9989 99.88 21.330160 7.774242788 8.324834e+00
## 9990 99.89 21.411499 7.828797417 8.368498e+00
## 9991 99.90 21.498288 7.882022593 8.406026e+00
## 9992 99.91 21.589800 7.933438685 8.436965e+00
## 9993 99.92 21.685240 7.982571139 8.460919e+00
## 9994 99.93 21.783758 8.028955660 8.477550e+00
## 9995 99.94 21.884449 8.072143606 8.486595e+00
## 9996 99.95 21.986367 8.111707575 8.487867e+00
## 9997 99.96 22.088535 8.147247093 8.481264e+00
## 9998 99.97 22.189956 8.178394289 8.466771e+00
## 9999 99.98 22.289628 8.204819415 8.444467e+00
## 10000 99.99 22.386553 8.226236087 8.414524e+00
## 10001 100.00 22.479755 8.242406083 8.377208e+00 plot(guess1$X, guess1$Y)
RESOLUCION DE UN SISTEMA DINAMICO REPRESENTADO POR ECUACIONES DIFERENCIALES
Es un ejemolo de la evolucion en el tiempo de un sistema compuesto por una presa \[u\] y un depredador \[v\] de tipo Lotka-Volterra y con una interaccion de tipo II \[\alpha uv/(u+d)\] donde \[\alpha\] es la tasa Tipo I: El numero de capturas es proporcional a la densidad de las presas. Tipica respuesta de depredadores pasivos. Todas las presas que caen en la trampa son devoradas. Tipo II: El depredador presenta una saturacion. Es necesario un periodo de tiempo para la captura. Tipo III: Similar al tipo II. A bajas densidades se piede efectividad en la captura de la presa (refugios, baja eficiencia, preferencia de otras presas).
El sistema EDO acopladas tiene dos ecuaciones que corresponden a los diferenciales de du y dv
\[ \frac{du}{dt}=u(1-u)-\alpha \frac{uv}{(u+d)}\\ \frac{dv}{dt}= bv(1-\frac{v}{u}) \]
f <- function(x, y, d) {
#x * y/(x + d)
u*v/(u+d)
} # Holling tipo IImodel <- function(t, xx, parms) {
u <- xx[1]
v <- xx[2]
with(as.list(parms), {
du <- u * (1 - u) - alpha * f(u, v, d)
dv <- b * v * (1 - v/u)
list(c(du, dv))
})
}# La secuencia temporal que se integrará (100 años):
times <- seq(0, 100, 1)
u<-1000
v<-50
# Los parámetros del sistema:
parms <- c(b = 0.1, alpha =0.9, d = 0.15) #c(b = 0.2, alpha = 1, d = 0.2)
#a=0.08,b=0.001,c=0.02,d=0.00002;
# El estado inicial del sistema:
xstart <- c(u = 1000, v = 40) #u = 1.2, v = 0.2
# La solución del sistema dinámico se realiza con ode y Runge-Kutta
out <- as.data.frame(ode(xstart, times, model, parms, method = "rk4"))out## time u v
## 1 0 1.00000e+03 40.00000
## 2 1 -3.97384e+43 44.17748
## 3 2 -Inf 48.82367
## 4 3 -Inf 53.95849
## 5 4 -Inf 59.63335
## 6 5 -Inf 65.90504
## 7 6 -Inf 72.83633
## 8 7 -Inf 80.49659
## 9 8 -Inf 88.96248
## 10 9 -Inf 98.31874
## 11 10 -Inf 108.65900
## 12 11 -Inf 120.08676
## 13 12 -Inf 132.71638
## 14 13 -Inf 146.67428
## 15 14 -Inf 162.10013
## 16 15 -Inf 179.14834
## 17 16 -Inf 197.98952
## 18 17 -Inf 218.81224
## 19 18 -Inf 241.82491
## 20 19 -Inf 267.25783
## 21 20 -Inf 295.36556
## 22 21 -Inf 326.42940
## 23 22 -Inf 360.76026
## 24 23 -Inf 398.70171
## 25 24 -Inf 440.63351
## 26 25 -Inf 486.97530
## 27 26 -Inf 538.19090
## 28 27 -Inf 594.79288
## 29 28 -Inf 657.34774
## 30 29 -Inf 726.48155
## 31 30 -Inf 802.88622
## 32 31 -Inf 887.32644
## 33 32 -Inf 980.64730
## 34 33 -Inf 1083.78279
## 35 34 -Inf 1197.76513
## 36 35 -Inf 1323.73509
## 37 36 -Inf 1462.95341
## 38 37 -Inf 1616.81344
## 39 38 -Inf 1786.85506
## 40 39 -Inf 1974.78009
## 41 40 -Inf 2182.46936
## 42 41 -Inf 2412.00148
## 43 42 -Inf 2665.67369
## 44 43 -Inf 2946.02481
## 45 44 -Inf 3255.86070
## 46 45 -Inf 3598.28228
## 47 46 -Inf 3976.71663
## 48 47 -Inf 4394.95123
## 49 48 -Inf 4857.17191
## 50 49 -Inf 5368.00473
## 51 50 -Inf 5932.56226
## 52 51 -Inf 6556.49478
## 53 52 -Inf 7246.04679
## 54 53 -Inf 8008.11957
## 55 54 -Inf 8850.34018
## 56 55 -Inf 9781.13784
## 57 56 -Inf 10809.82825
## 58 57 -Inf 11946.70690
## 59 58 -Inf 13203.15202
## 60 59 -Inf 14591.73852
## 61 60 -Inf 16126.36382
## 62 61 -Inf 17822.38694
## 63 62 -Inf 19696.78223
## 64 63 -Inf 21768.30923
## 65 64 -Inf 24057.70045
## 66 65 -Inf 26587.86885
## 67 66 -Inf 29384.13718
## 68 67 -Inf 32474.49137
## 69 68 -Inf 35889.86069
## 70 69 -Inf 39664.42725
## 71 70 -Inf 43835.96812
## 72 71 -Inf 48446.23341
## 73 72 -Inf 53541.36415
## 74 73 -Inf 59172.35404
## 75 74 -Inf 65395.55982
## 76 75 -Inf 72273.26535
## 77 76 -Inf 79874.30489
## 78 77 -Inf 88274.75210
## 79 78 -Inf 97558.68134
## 80 79 -Inf 107819.00915
## 81 80 -Inf 119158.42420
## 82 81 -Inf 131690.41497
## 83 82 -Inf 145540.40565
## 84 83 -Inf 160847.01140
## 85 84 -Inf 177763.42562
## 86 85 -Inf 196458.95323
## 87 86 -Inf 217120.70506
## 88 87 -Inf 239955.47055
## 89 88 -Inf 265191.78735
## 90 89 -Inf 293082.22862
## 91 90 -Inf 323905.93083
## 92 91 -Inf 357971.38750
## 93 92 -Inf 395619.53663
## 94 93 -Inf 437227.17298
## 95 94 -Inf 483210.71912
## 96 95 -Inf 534030.39313
## 97 96 -Inf 590194.81460
## 98 97 -Inf 652266.09508
## 99 98 -Inf 720865.46386
## 100 99 -Inf 796679.48541
## 101 100 -Inf 880466.93079plot(out, ylim=c(0,1000), col = "red", lwd = 1)
library(patchwork)
plot_data <- data.frame(out) %>%
#rename(numeric=v) %>%
mutate(presa=u) %>%
mutate(depredador=v)
#pivot_longer(cols= x,
# names_to = "type",
# values_to = "y")
plot_data[0:5,]## time u v presa depredador
## 1 0 1.00000e+03 40.00000 1.00000e+03 40.00000
## 2 1 -3.97384e+43 44.17748 -3.97384e+43 44.17748
## 3 2 -Inf 48.82367 -Inf 48.82367
## 4 3 -Inf 53.95849 -Inf 53.95849
## 5 4 -Inf 59.63335 -Inf 59.63335#
plot(plot_data[ ,4],col='blue',line=TRUE,size=0.5, add = TRUE,xlab=" ", ylab=" ", axes=FALSE)
axis(1, at = c(0, 100))
axis(2, at=c(0, 1.2))
mtext("tiempo",side=1)
mtext("Presas",side=2)
par(new=TRUE)
plot(plot_data[ ,5],col='green',size=0.5, add = TRUE, xlab=" ", ylab=" ")
axis(4, at=c(0, 1.2))
mtext("Depredadores", side=4)
#curve(pnorm(plot_data,x=times, y=depredador,col='green', add = TRUE))p1<-ggplot(plot_data,aes(x=times,y=presa,color=u))+
geom_line(shape = 17, color = "blue", size = 1)+
ylim(0,1.25)+
theme(legend.position =c(0.95, 0.95),
legend.justification =c(1,1),
legend.background=element_rect((fill =NA)))
p2<-ggplot(plot_data,aes(x=times,y=depredador,color=v))+
geom_line(shape = 18, color = "green", size = 1)+
ylim(0,0.6)
p1 + p2
geom_jitter(color = "dodgerblue1")## geom_point: na.rm = FALSE
## stat_identity: na.rm = FALSE
## position_jitterEDP clasicas
EDP clasico La resolucion de una EDP consiste en transformar las EDP en EDO utilizando el metodo de diferenciuas finitas.
Se ejemplariza en esta resolucion sobre un modelo de difusion de pestes (afidos o pulgones) sobre una ilera de plantas posicionadas entre 0 y 60. \[ \frac{\partial N}{\partial t} = - \frac{\partial F}{\partial x} + g \times N \]
En donde el flujo de difusion es dado por
où le flux diffusif est donné par
\[F = -D \frac{\partial N}{\partial x}\]
Las constricciones estipulan que los pulgones se reducen a 0 en los dos lados de la ilera
\[ \forall t \geq 0, N(x=0, t) = N(x=60, t) = 0 \]
. En el tiempo inicial los afidos o pulgones ne estan presente en en
medio de la ilera de plantas. Demo que:
\[
N(x, t = 0) = \begin{cases} 1 & \text{if} \quad x = 30 \\ 0 &
\text{else} \end{cases}
\]
El metodo de diferencias finitas consiste en dividir el dominio en cajas y en discretizar la ecuacion como sigue:
\[ \frac{dN_i}{dt} = - \frac{F_{i, i+1} - F_{i-1, i}}{\Delta x_i} + g\times N_i \] “Ni” representa la densidad de ofido en el medio de las partes (cajas) mientras que los flujos son definidos en las interfases entre las partes para convertirlo en un sistema de EDO. \[ F_{i-1, i} = -D_{i, i-1} \times \frac{N_i - N_{i-1}}{\Delta x_{i-1, i}}\] A partir de ahi se definen las ecuaciones del modelo:
Aphid <- function(t, APHIDS, parameters) {
with(as.list(parameters), {
## taille des boîtes
deltax <- c(0.5, rep(1, numboxes - 1), 0.5)
## valeurs du flux aux interfaces
Flux <- -D * diff(c(0, APHIDS, 0)) / deltax
## valeurs des dérivées
dAPHIDS <- -diff(Flux) / delx + APHIDS * r
# the return value
list(dAPHIDS)
})
}puis les paramètres du modèle et de la grille de discretisation:
params <- list(
D <- 0.3, # m2/day tasa de difusion
r <- 0.01, # /day tasa de crecimiento neto
delx <- 1, # m espesor de las cajas
numboxes <- 60,
# distancia de las cajas entre planta, m, 1 m de intervalo
Distance <- seq(from = 0.5, by = delx, length.out = numboxes)
)et enfin les conditions intiales
# Initial conditions: # ind/m2
APHIDS <- rep(0, times = numboxes)
APHIDS[30:31] <- 1
# initialise state variables
state <- c(APHIDS = APHIDS)on peut alors laisser la densité évoluer sur 200 jours avec un rendu par jour:
out_aphide <- ode.1D(state, times = 0:200, Aphid, parms = params,
nspec = 1, names = "Aphid")
out_aphide[0:5,0:5]## time APHIDS1 APHIDS2 APHIDS3 APHIDS4
## [1,] 0 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
## [2,] 1 1.667194e-55 9.555028e-52 2.555091e-48 4.943131e-45
## [3,] 2 3.630860e-41 4.865105e-39 5.394287e-37 5.053775e-35
## [4,] 3 2.051210e-34 9.207997e-33 3.722714e-31 1.390691e-29
## [5,] 4 1.307456e-30 3.718598e-29 9.635350e-28 2.360716e-26Le résultat est comme auparavant une matrice avec la première colonne pour le temps et une colonne par EDO dans la discrétisation. On peut utiliser ce résultat pour voir la diffusion des aphides dans les plantes au cours du temps:
out_aphide %>%
data.frame %>%
pivot_longer(cols = -time,
names_to = "location",
names_pattern = "APHIDS(.*)",
values_to = "density") %>%
mutate(location = as.integer(location)) %>%
ggplot(aes(x = time, y = location, fill = density)) +
geom_tile() +
scale_fill_viridis_c()