juan alberto zapata May 26, 2020
lapply devuelve una lista de la misma longitud que X, cada elemento del cual es el resultado de aplicar FUN al elemento correspondiente de X.
pkges <- c("WDI","tidyverse","tseries","forecast")
#install.packages("pkges")
lapply(pkges,library,character.only=T)## -- Attaching packages ------------------------------------------------ tidyverse 1.3.0 --
## v ggplot2 3.3.0 v purrr 0.3.4
## v tibble 3.0.1 v dplyr 0.8.5
## v tidyr 1.1.0 v stringr 1.4.0
## v readr 1.3.1 v forcats 0.5.0
## -- Conflicts --------------------------------------------------- tidyverse_conflicts() --
## x dplyr::filter() masks stats::filter()
## x dplyr::lag() masks stats::lag()
## Registered S3 method overwritten by 'quantmod':
## method from
## as.zoo.data.frame zoo
## [[1]]
## [1] "WDI" "stats" "graphics" "grDevices" "utils" "datasets"
## [7] "methods" "base"
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## [7] "tibble" "ggplot2" "tidyverse" "WDI" "stats" "graphics"
## [13] "grDevices" "utils" "datasets" "methods" "base"
##
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## [1] "tseries" "forcats" "stringr" "dplyr" "purrr" "readr"
## [7] "tidyr" "tibble" "ggplot2" "tidyverse" "WDI" "stats"
## [13] "graphics" "grDevices" "utils" "datasets" "methods" "base"
##
## [[4]]
## [1] "forecast" "tseries" "forcats" "stringr" "dplyr" "purrr"
## [7] "readr" "tidyr" "tibble" "ggplot2" "tidyverse" "WDI"
## [13] "stats" "graphics" "grDevices" "utils" "datasets" "methods"
## [19] "base"
Importa datos de World Development Indicators (WDI), que es la principal colección de indicadores de desarrollo del Banco Mundial
options(scipen=999)
datos <- WDI(indicator='NY.GDP.MKTP.KN', country=c('CL','PE','BR',"AR"), start=1960, end=2018)
summary(datos)## iso2c country NY.GDP.MKTP.KN year
## Length:236 Length:236 Min. : 69946000000 Min. :1960
## Class :character Class :character 1st Qu.: 292830863724 1st Qu.:1974
## Mode :character Mode :character Median : 664997245255 Median :1989
## Mean : 15935456430700 Mean :1989
## 3rd Qu.: 7182049960520 3rd Qu.:2004
## Max. :153758254309000 Max. :2018
Importa datos de serie de tiempo del PBI del peru.
df <- datos %>% rename(GDP=NY.GDP.MKTP.KN) %>% select(-country) %>% mutate(GDP=GDP/(10^9))
datos.rshp<-reshape(data = df,timevar = "iso2c",idvar = "year",v.names = "GDP",direction = "wide") %>%
rename(AR=GDP.AR,
BR=GDP.BR,
CL=GDP.CL,
PE=GDP.PE)
datos.rshp<- datos.rshp %>% arrange(year) %>% select(-year)
ts <- ts(datos.rshp$PE,start = c(1960,1),end = c(2018,1))
plot(ts,main="PBI real MN (1960-2018)",xlab="",ylab="Miles de millones")Aplica un logaritmo y lo diferencia la serie de tiempo del PBI del peru.
Estimación de Parámetros de la media (mean), varianza (var) y la desviacion estandar (sd) de los retornos de la serie de tiempo del PBI del peru.
## [1] 0.03506753
## [1] 0.002230807
## [1] 0.04723142
El modelo [ y = XB+\varepsilon ]
Se le conoce como el modelo lineal clásico si cumple los siguientes supuestos.
Estimación de parámetros (OLS)
Minimzando (LS(\beta))
set.seed es la forma recomendada para especificar semillas de 100. LA función de distribución,realiza la generación aleatoria para la distribución normal con media igual a media y desviación estándar igual a sd.
## [1] 0.01480471
## [1] 0.01409256
##
## Call:
## lm(formula = y ~ x)
##
## Coefficients:
## (Intercept) x
## 2.9357 0.0148
cov y cor calculan la varianza de x y la covarianza o correlación de x e y si son vectores.
## [1] 0.4304888
## [1] 0.4304888
## [1] 0.4282983
El arima realiza un ajuste un modelo ARIMA a una serie temporal univariante.
##
## Call:
## lm(formula = Yi ~ Yj)
##
## Coefficients:
## (Intercept) Yj
## 0.01945 0.42830
##
## Call:
## arima(x = l_ts, order = c(1, 0, 0))
##
## Coefficients:
## ar1 intercept
## 0.4254 0.0356
## s.e. 0.1176 0.0095
##
## sigma^2 estimated as 0.001786: log likelihood = 101.11, aic = -196.21
calcula (y por defecto las gráficas) estimaciones de la función de autocorrelación retrasada de una serie de tiempo maximo 20.
calcula (y por defecto las gráficas) estimaciones de la función de autocovarianza o autocorrelación retrasada de los retornos de la serie de tiempo maximo 20.
Se genera el modelo1 con arima de la serie de tiempo, AR(1), MA(1) y primera direfencia. luego se predice a partir de los resultados de varias funciones de ajuste del modelo. y ppor ultimo se calcula el ‘Criterio de información’ de Akaike para uno o varios objetos modelo ajustados para los que se puede obtener un valor de log-verosimilitud.
## [1] 427.2029
Se genera el modelo2 con autoarima de la serie de tiempo en logaritmo. luego se predice a partir de los resultados de varias funciones de ajuste del modelo.
##
## ARIMA(2,1,2) with drift : -194.4185
## ARIMA(0,1,0) with drift : -186.5246
## ARIMA(1,1,0) with drift : -196.2105
## ARIMA(0,1,1) with drift : -198.3388
## ARIMA(0,1,0) : -162.6986
## ARIMA(1,1,1) with drift : -196.3404
## ARIMA(0,1,2) with drift : -196.3395
## ARIMA(1,1,2) with drift : -194.3404
## ARIMA(0,1,1) : -185.6227
##
## Best model: ARIMA(0,1,1) with drift
## Series: log(ts)
## ARIMA(0,1,1) with drift
##
## Coefficients:
## ma1 drift
## 0.5180 0.0352
## s.e. 0.1269 0.0082
##
## sigma^2 estimated as 0.00178: log likelihood=102.17
## AIC=-198.34 AICc=-197.89 BIC=-192.16
##
## Training set error measures:
## ME RMSE MAE MPE MAPE
## Training set 0.00002561815 0.04110477 0.03041042 -0.000660425 0.5883875
## MASE ACF1
## Training set 0.6095185 0.006941875
options(scipen=999)
pkges<-c("pdfetch","tseries","tidyverse","forecast")
#install.packages(pkges)
lapply(pkges,"library",character.only=T)## [[1]]
## [1] "pdfetch" "forecast" "tseries" "forcats" "stringr" "dplyr"
## [7] "purrr" "readr" "tidyr" "tibble" "ggplot2" "tidyverse"
## [13] "WDI" "stats" "graphics" "grDevices" "utils" "datasets"
## [19] "methods" "base"
##
## [[2]]
## [1] "pdfetch" "forecast" "tseries" "forcats" "stringr" "dplyr"
## [7] "purrr" "readr" "tidyr" "tibble" "ggplot2" "tidyverse"
## [13] "WDI" "stats" "graphics" "grDevices" "utils" "datasets"
## [19] "methods" "base"
##
## [[3]]
## [1] "pdfetch" "forecast" "tseries" "forcats" "stringr" "dplyr"
## [7] "purrr" "readr" "tidyr" "tibble" "ggplot2" "tidyverse"
## [13] "WDI" "stats" "graphics" "grDevices" "utils" "datasets"
## [19] "methods" "base"
##
## [[4]]
## [1] "pdfetch" "forecast" "tseries" "forcats" "stringr" "dplyr"
## [7] "purrr" "readr" "tidyr" "tibble" "ggplot2" "tidyverse"
## [13] "WDI" "stats" "graphics" "grDevices" "utils" "datasets"
## [19] "methods" "base"
Importa datos de yahoo finance, los datos de la serie de tiempo financiera SP500 (^GSPC) en intervalo de 1 dias de la cuarta columna.
Calculando retornos. Aplica un logaritmo a la serie tsSP500 y lo diferencia la serie de tiempo financiera. luego con la funcion na.omit devuelve el objeto con los casos incompletos eliminados.
La forma del modelo más simple ARCH(1) es la siguiente:
[ \begin{align} y_t&=x^{\prime}{t}\beta+\varepsilon_t \ \varepsilon_t& =\mu_t\sqrt{\alpha_0+\alpha\varepsilon^{2}{t-1}} \ \end{align} ] Donde (\mu_t \thicksim N(0,1))
El estimador de la varianza condicional se estima a través del siguiente modelo de regresión. [\begin{equation} \hat{\varepsilon}^{2}_t=\hat{\alpha}_0+\hat{\alpha}1\hat{\varepsilon}^{2}{t-1} \end{equation}]
La ecuación nos dice que la varianza en el periodo (t-1) afecta la varianza en el periodo (t)
###La funcion plot.ts uestra el grafico de la serie de tiemppo R1.
###La funcion hist calcula un histograma de los valores de datos dados.
###la funcion acf calcula (y por defecto las gráficas) estimaciones de la función deautocorrelación de una serie de tiempo R1.
calcula la valotilidad de la serie de tiempo R1 con AR(0), y MA(1). luego aplico la función genérica summary que es utilizada para producir resúmenes de resultados de los resultados de varias funciones de ajuste del modelo.
##
## ***** ESTIMATION WITH ANALYTICAL GRADIENT *****
##
##
## I INITIAL X(I) D(I)
##
## 1 1.652664e-04 1.000e+00
## 2 5.000000e-02 1.000e+00
##
## IT NF F RELDF PRELDF RELDX STPPAR D*STEP NPRELDF
## 0 1 -1.308e+04
## 1 7 -1.309e+04 1.01e-03 1.20e-03 1.1e-04 1.3e+11 1.1e-05 7.62e+07
## 2 8 -1.310e+04 5.25e-04 5.82e-04 1.1e-04 2.9e+00 1.1e-05 1.60e+02
## 3 9 -1.310e+04 4.10e-05 5.13e-05 1.0e-04 2.0e+00 1.1e-05 1.54e+02
## 4 10 -1.310e+04 3.78e-06 3.90e-06 1.1e-04 2.0e+00 1.1e-05 1.53e+02
## 5 17 -1.316e+04 4.98e-03 6.94e-03 3.1e-01 2.0e+00 4.6e-02 1.52e+02
## 6 19 -1.320e+04 3.16e-03 2.06e-03 2.1e-01 0.0e+00 5.0e-02 2.06e-03
## 7 20 -1.324e+04 2.53e-03 1.71e-03 2.0e-01 0.0e+00 7.1e-02 1.71e-03
## 8 22 -1.326e+04 1.63e-03 1.14e-03 1.6e-01 0.0e+00 8.3e-02 1.14e-03
## 9 23 -1.327e+04 7.78e-04 6.16e-04 1.2e-01 1.1e-01 8.3e-02 6.20e-04
## 10 24 -1.327e+04 3.62e-04 3.10e-04 9.4e-02 0.0e+00 8.0e-02 3.10e-04
## 11 25 -1.327e+04 5.93e-05 5.44e-05 4.4e-02 0.0e+00 4.3e-02 5.44e-05
## 12 26 -1.327e+04 4.06e-06 3.56e-06 1.0e-02 0.0e+00 1.0e-02 3.56e-06
## 13 27 -1.327e+04 9.44e-08 9.17e-08 2.0e-03 0.0e+00 2.0e-03 9.17e-08
## 14 28 -1.327e+04 9.34e-11 9.29e-11 6.7e-05 0.0e+00 7.0e-05 9.29e-11
##
## ***** RELATIVE FUNCTION CONVERGENCE *****
##
## FUNCTION -1.327454e+04 RELDX 6.720e-05
## FUNC. EVALS 28 GRAD. EVALS 15
## PRELDF 9.289e-11 NPRELDF 9.289e-11
##
## I FINAL X(I) D(I) G(I)
##
## 1 9.710552e-05 1.000e+00 -4.802e-01
## 2 5.194677e-01 1.000e+00 -1.948e-04
##
## Call:
## garch(x = R1, order = c(0, 1))
##
## Model:
## GARCH(0,1)
##
## Residuals:
## Min 1Q Median 3Q Max
## -9.08245 -0.35723 0.05855 0.49189 8.40894
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## a0 0.000097106 0.000001428 68.01 <0.0000000000000002 ***
## a1 0.519467657 0.021480441 24.18 <0.0000000000000002 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Diagnostic Tests:
## Jarque Bera Test
##
## data: Residuals
## X-squared = 15405, df = 2, p-value < 0.00000000000000022
##
##
## Box-Ljung test
##
## data: Squared.Residuals
## X-squared = 3.613, df = 1, p-value = 0.05733
Por otro lado, en un modelo GARCH la distribución de los errors se define como: [ \varepsilon_t|\Psi \thicksim N(0,\sigma_t^2) ] Tomando como ejemplo un GARCH(1,1), la varianza condicionada es:
[ \sigma_t^2=\alpha_0+\delta_1\sigma_{t-1}^2+\alpha_1\varepsilon_{t-1}^2 ]
calcula la valotilidad de la serie de tiempo R1 con AR(1), y MA(1). luego aplico la función genérica summary que es utilizada para producir resúmenes de resultados de los resultados de varias funciones de ajuste del modelo. luego extrae los residuos del modelo de los objetos devueltos por las funciones de modelado. luego se crea hha para aplicar el contenido de la funcion ts que comprueban si un objeto es una serie temporal donde comienza en 2007,3 y la frecuencia es de 365.25. finanlente grafica la serie de tiempo hhat.
##
## ***** ESTIMATION WITH ANALYTICAL GRADIENT *****
##
##
## I INITIAL X(I) D(I)
##
## 1 1.565682e-04 1.000e+00
## 2 5.000000e-02 1.000e+00
## 3 5.000000e-02 1.000e+00
##
## IT NF F RELDF PRELDF RELDX STPPAR D*STEP NPRELDF
## 0 1 -1.309e+04
## 1 7 -1.311e+04 1.26e-03 1.48e-03 1.2e-04 1.4e+11 1.2e-05 1.07e+08
## 2 8 -1.312e+04 6.58e-04 1.10e-03 2.3e-04 2.1e+00 2.3e-05 2.52e+02
## 3 9 -1.312e+04 1.36e-04 1.85e-04 2.1e-04 2.0e+00 2.3e-05 2.31e+02
## 4 10 -1.312e+04 1.27e-05 1.20e-05 2.3e-04 2.0e+00 2.3e-05 2.34e+02
## 5 17 -1.327e+04 1.13e-02 1.78e-02 4.8e-01 2.0e+00 9.5e-02 2.31e+02
## 6 19 -1.339e+04 8.69e-03 8.96e-03 2.9e-01 2.0e+00 9.5e-02 5.43e+01
## 7 21 -1.347e+04 6.53e-03 7.82e-03 2.2e-01 2.0e+00 9.5e-02 6.35e+01
## 8 24 -1.379e+04 2.31e-02 2.18e-02 3.3e-01 1.9e+00 2.6e-01 1.41e+00
## 9 26 -1.381e+04 1.41e-03 5.01e-03 4.8e-02 2.0e+00 5.2e-02 2.40e+00
## 10 27 -1.389e+04 5.88e-03 6.98e-03 4.3e-02 2.0e+00 5.2e-02 3.01e+00
## 11 28 -1.393e+04 2.90e-03 5.38e-03 4.0e-02 2.0e+00 5.2e-02 8.53e-01
## 12 29 -1.396e+04 1.68e-03 3.58e-03 3.7e-02 2.0e+00 5.2e-02 6.77e-01
## 13 43 -1.397e+04 7.03e-04 1.68e-03 1.5e-06 2.8e+00 2.1e-06 1.93e-02
## 14 44 -1.397e+04 6.20e-05 4.68e-05 1.5e-06 2.0e+00 2.1e-06 6.88e-04
## 15 45 -1.397e+04 5.99e-06 6.80e-06 1.5e-06 2.0e+00 2.1e-06 1.98e-03
## 16 46 -1.397e+04 9.91e-08 8.73e-08 1.5e-06 2.0e+00 2.1e-06 1.81e-03
## 17 53 -1.397e+04 1.44e-05 2.82e-05 3.6e-03 2.0e+00 5.2e-03 1.81e-03
## 18 56 -1.398e+04 4.91e-04 2.50e-04 1.3e-02 0.0e+00 2.2e-02 2.50e-04
## 19 58 -1.400e+04 1.70e-03 1.53e-03 5.1e-02 0.0e+00 8.9e-02 2.33e-03
## 20 59 -1.401e+04 7.88e-04 1.14e-03 4.5e-02 8.1e-01 8.9e-02 1.94e-03
## 21 61 -1.401e+04 1.51e-04 2.60e-04 8.0e-03 1.2e+00 1.4e-02 3.16e-04
## 22 63 -1.401e+04 1.80e-05 3.08e-05 2.0e-03 1.3e+00 3.6e-03 3.57e-05
## 23 64 -1.401e+04 2.01e-06 3.12e-06 1.2e-03 0.0e+00 1.9e-03 3.12e-06
## 24 65 -1.401e+04 4.24e-07 4.92e-07 5.9e-04 0.0e+00 1.0e-03 4.92e-07
## 25 66 -1.401e+04 4.42e-09 1.81e-08 1.2e-04 0.0e+00 2.8e-04 1.81e-08
## 26 67 -1.401e+04 3.41e-09 7.79e-10 3.3e-05 0.0e+00 6.7e-05 7.79e-10
## 27 68 -1.401e+04 -1.51e-10 3.73e-11 6.1e-06 0.0e+00 1.3e-05 3.73e-11
##
## ***** RELATIVE FUNCTION CONVERGENCE *****
##
## FUNCTION -1.401265e+04 RELDX 6.103e-06
## FUNC. EVALS 68 GRAD. EVALS 27
## PRELDF 3.731e-11 NPRELDF 3.731e-11
##
## I FINAL X(I) D(I) G(I)
##
## 1 2.954093e-06 1.000e+00 -2.430e+03
## 2 1.440809e-01 1.000e+00 -1.175e-01
## 3 8.353693e-01 1.000e+00 -2.187e-01
##
## Call:
## garch(x = R1, order = c(1, 1))
##
## Model:
## GARCH(1,1)
##
## Residuals:
## Min 1Q Median 3Q Max
## -6.64870 -0.45401 0.07267 0.62369 3.78183
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## a0 0.0000029541 0.0000002843 10.39 <0.0000000000000002 ***
## a1 0.1440808741 0.0099376436 14.50 <0.0000000000000002 ***
## b1 0.8353693141 0.0104132888 80.22 <0.0000000000000002 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Diagnostic Tests:
## Jarque Bera Test
##
## data: Residuals
## X-squared = 958.32, df = 2, p-value < 0.00000000000000022
##
##
## Box-Ljung test
##
## data: Squared.Residuals
## X-squared = 0.65726, df = 1, p-value = 0.4175
## [1] NA -0.5497281262 0.2102382842 -0.0525749043 0.2118669901
## [6] 0.7375312816 0.5784661583 0.1015134378 -0.1182286770 -0.4171372218
## [11] 0.4229768577 -0.8052186340 0.5387557392 1.3264023447 -1.6478171231
## [16] -0.1547765360 -0.1492106350 0.8279226146 0.9475162524 0.7600319013
## [21] 0.2436277586 -0.1462780056 0.1108801867 0.2320037424 -0.2041840476
## [26] -1.2745433146 -0.5432276380 1.2848627444 1.2011026134 0.1547887825
## [31] -0.1368668665 0.4670318982 -0.2375190809 -0.1505193432 -0.6496457175
## [36] -0.2290432732 -6.6487032712 0.3858752304 -0.1936749671 -0.9234748219
## [41] -0.7698839474 1.2913743923 -0.1979894774 0.6142245547 0.0613578706
## [46] 0.2614223792 -2.1505693750 0.5627021525 0.3266693113 -0.3644902220
## [51] 1.0968924764 0.6270097044 1.7525385590 -0.0315111621 0.1066724547
## [56] 0.1014389779 -0.6976408029 -0.9262601064 0.4326131300 -0.1433460744
## [61] 0.3369539488 1.2638435469 0.1437355968 0.4177195642 0.0843464194
## [66] 0.3954103224 -1.0371919386 0.9436410680 0.5226586081 1.6397684061
## [71] 0.2915272762 0.0992400589 -0.1818359528 1.4627738527 -0.3316538102
## [76] -0.0528688760 1.5983418465 -0.1097167960 -0.0178534701 -1.2275883049
## [81] 0.3898670360 0.9897172745 0.6473368998 0.3283902514 0.4081921631
## [86] -0.1924030084 0.5530250232 -2.4564549280 1.2517441521 -0.2220677799
## [91] -0.1713727515 1.1954338542 -0.1219581028 0.9276018055 0.2151833195
## [96] -0.0945696106 -0.1872745804 -1.5833149584 0.7822215350 0.2274440122
## [101] 1.2117970987 0.0367691621 0.5682241684 0.2885915700 -0.8736643336
## [106] -1.4338678073 -2.5971527556 1.2111854582 0.0990585233 -1.1877529988
## [111] 1.6077324156 0.4600551737 0.6591909070 -0.1276842381 0.1949344287
## [116] -1.6471220822 0.6578551905 -1.4359773614 -0.3288248042 -0.3534647847
## [121] 1.0369680355 -0.0476605923 -0.1911568241 1.3786264286 0.4301913755
## [126] 0.0439775266 0.4442157380 0.1294823960 -2.1219733215 0.6807602400
## [131] 2.3179344169 0.2956729538 -0.1961306915 -0.0105864859 -0.2422518759
## [136] 0.5555925121 -1.5923648361 0.5625815905 -2.4145688235 0.4286207421
## [141] -2.3090436355 -1.2339416954 0.7541798060 -0.9738351809 0.5551561294
## [146] 0.3532620882 -2.3423470675 1.6158442376 0.3756390671 0.9181924370
## [151] -2.0084639001 0.0211214757 -0.0300835393 -1.2094368659 -0.8983142061
## [156] 0.2119123458 1.7153722285 -0.0168868933 0.0738538245 0.8594562561
## [161] -0.0809075952 0.9363898889 -0.7038238728 -2.0334394010 1.5401924977
## [166] -0.2725563456 0.7831035757 0.7547765467 -0.8680106287 0.3248427724
## [171] -1.4014667200 -0.0981051268 1.1284325371 0.0038924762 0.7411802012
## [176] 0.0184575988 -0.5053662935 2.9861329610 0.4290457305 -0.5094335180
## [181] 0.3681786311 -0.4514050653 -0.0311755978 0.5294275084 0.4023050567
## [186] -0.3311138242 1.5333088235 -0.0279421071 -0.5160905121 0.2498489913
## [191] 1.1978005489 -0.3886617227 1.0253367655 -0.2142430966 -0.6860363398
## [196] 0.6437480449 -1.1723655093 -0.8795693049 0.2347862735 -0.1061289924
## [201] -3.8647283108 0.3231547150 0.8000693352 -0.2286728860 -0.0980382391
## [206] 1.4764467539 0.3672360916 -0.6835258813 1.2991619767 -2.7655607727
## [211] 0.0590196893 -0.3960942894 1.0200266696 -2.5302474415 -0.0366660380
## [216] -0.9947029760 -0.6966782583 2.0755271061 -0.4232731486 -0.8499332034
## [221] 0.3417462289 -1.2408030344 0.3045588246 -1.1763075145 1.1972680881
## [226] -1.6347907818 0.9272870742 1.7882511006 0.0264502156 0.4676535491
## [231] -0.3808108920 -0.4540777701 1.1126164054 1.0854126467 -0.1280923412
## [236] 0.5831109322 -2.1000681500 0.4053423251 0.0880332141 -1.0790454957
## [241] -1.1676183285 0.4714561866 -0.1090668257 0.4231555729 1.5227510361
## [246] 0.6779501075 0.0709206637 -1.3619407873 0.1338840595 -0.6600151708
## [251] -1.4513495038 0.0000000000 -2.4741058999 0.2423563951 -1.5037184796
## [256] 1.0110428596 0.5917464064 -1.0771340254 0.8420509740 -2.0111045256
## [261] -0.3740823711 -2.1056879219 -0.3543861142 -0.7010506248 1.3926871227
## [266] 0.6189714255 -1.0415029271 1.1300791324 0.3927182114 -0.3274766981
## [271] 1.2266233136 0.8678704151 -0.7663824484 -2.4495130752 -0.4399811669
## [276] 0.4833202031 -0.2762817855 0.4154843333 0.5476370848 1.0801373597
## [281] -1.0682683725 0.0656072702 -0.0760143908 0.7604436226 -1.2206762543
## [286] 0.7131634320 1.2902738861 0.6178698270 -0.0862278629 -0.9066634661
## [291] -2.7947651669 0.0384662835 -0.2699842030 0.4394280096 -1.9911536302
## [296] -0.6317204388 -1.2223296399 2.7658795640 -0.4903553789 0.2960354321
## [301] -1.3126443537 -0.5374496716 2.6330795905 -1.1471508585 1.0870696549
## [306] 0.6944359607 0.1101133412 -0.4586023818 -0.6423353997 -0.4678278152
## [311] 0.3549230013 2.3730300221 -0.1011017650 0.0739046420 0.0491581609
## [316] 0.1047486210 -0.3722408241 -0.6338074392 0.3647985670 -1.7990417170
## [321] -0.2574251697 0.3754214023 1.9617011936 0.0458108327 1.4329991685
## [326] -0.1155704971 -0.7119792585 0.2419094677 0.5770036312 0.6107176966
## [331] -0.1037433277 -0.4129154835 -0.4321539752 2.0095971955 0.3162785237
## [336] -0.4747585494 0.8394907977 -2.0411543981 0.3370503531 -0.6631701214
## [341] 1.1185804858 -0.0383847478 0.4288234954 1.1932797717 0.1363748319
## [346] 0.1048324026 -1.1617199658 -1.9456139843 0.2633911918 -1.4322205557
## [351] 0.6807401050 0.4088499724 0.5826937289 0.1730044941 -1.2867631963
## [356] -0.6690153425 -0.0388615377 2.4516706045 -3.0124337098 0.0517074664
## [361] -0.1727335148 -1.3043380995 0.2392292774 1.1770082582 0.0062099610
## [366] -0.5649940024 -0.8545956862 0.3341642892 -1.7852954828 0.0044035761
## [371] -0.2528418488 0.5608367830 -3.0107057447 -0.2552989711 0.0936851466
## [376] 0.3066982724 -1.5797190526 0.0852283143 -0.7101755038 1.4818621195
## [381] -1.8602216864 0.4834556711 -0.8235854774 -0.6874345355 -0.8660396323
## [386] 1.9942513710 0.8051322851 0.0198447682 -0.0406615641 1.0938956548
## [391] 0.3266023338 -2.0199339642 0.2986731156 -1.4507913965 1.6593858295
## [396] 1.0640622803 -0.8469262294 -0.3672233058 -0.6347781200 2.0941148644
## [401] 0.2033547112 -1.1903967286 1.5140961735 0.4087998525 -0.7681126935
## [406] -0.1915986781 0.3911425477 0.3093547629 -1.2431006094 -0.7366218887
## [411] 0.5037613932 0.2151824616 1.0468689825 -1.8242658028 0.2925753910
## [416] 0.6792089435 1.3095603217 -1.1682021310 -0.3378272168 -0.1797274380
## [421] -2.8850451846 0.2924370284 1.4476449894 -2.3071752099 0.3203968817
## [426] 0.7735409217 0.1239090706 -3.0661372621 0.7434384719 -2.1540466504
## [431] 1.5403551734 1.3184110245 -1.2479427601 -0.4892197436 -0.0657988918
## [436] 0.7062318823 0.1283459911 -3.8186529533 1.2742007080 -0.1062857743
## [441] -1.0480350264 -0.3473229815 -1.0851823071 -1.6270666342 -0.2841565948
## [446] -2.1438581362 -0.2613828834 2.6313346764 -0.0946108711 -1.8344641975
## [451] 0.7015639099 -0.1102761621 0.9003930151 -0.6193236123 -1.3197173355
## [456] 0.2523720238 -0.7676686072 -0.7349334074 2.4390221468 -0.2037588437
## [461] 0.5076854161 0.3250910244 -0.0584895841 1.0099806197 -1.3767939899
## [466] -1.2451384894 0.6669374917 -0.3145143730 -0.5965705732 -1.5130372089
## [471] 1.7584913180 -0.9881116249 -0.6135294170 0.2433184936 -1.7054240029
## [476] -1.6751015397 1.3270203824 1.2995013891 0.1301917519 0.7557735273
## [481] 0.2179163814 -2.3122597368 0.7635930327 0.5183742703 -0.6461334827
## [486] 0.8222215028 0.8938065798 -0.5687502773 0.3058564331 -0.8115455491
## [491] 0.2033875417 -0.4035958963 1.7055670962 -0.2926683746 -0.7042438783
## [496] 0.1012138101 -0.6954377608 -0.3855554752 0.2452313842 0.2465800293
## [501] -0.1942185533 1.3105839744 0.7313491623 1.6873182847 -0.2265479942
## [506] 0.4089837057 -1.7180900490 0.1696841446 -1.1707452583 -1.2158248811
## [511] 0.0910278692 -1.9191854505 0.0638699433 0.3945638411 -3.0542370628
## [516] 1.6196891478 -0.5267799695 0.1972502188 0.2215693829 0.4723519969
## [521] 1.5355192761 -1.4415313183 -0.9240068293 -0.0217652201 0.6999211688
## [526] -0.3507565002 0.8169492626 1.3783763924 0.0729246655 -2.6952021714
## [531] 0.3083644765 0.0731979892 -0.4614435620 -2.2928295150 -0.0369619040
## [536] -0.5130783696 -0.5193971231 -1.7031853931 1.6892495776 -0.4114118484
## [541] -0.6569779835 -1.0367546302 -2.0799880478 -0.2314072363 0.9184080785
## [546] -1.7341625871 0.0429712994 -0.3888091058 2.5662549410 0.0759328420
## [551] 1.3547016269 0.2490734560 -0.1236170325 1.2105412176 0.7706127660
## [556] -0.5070532520 -0.8276169773 2.9240610500 -0.6127733756 0.3013398181
## [561] 0.7858422156 -0.7263907816 -1.3111307473 0.4628527547 0.6247102817
## [566] 1.1383656673 0.3841382010 -0.3576126069 -1.1132353716 0.5347677282
## [571] 1.8146061978 0.1071319745 -0.9350911019 0.5848894497 0.7660600254
## [576] 0.2557593278 -2.4435530749 0.8999087129 -0.3372408170 0.4663229858
## [581] 0.8418939447 -0.5260067173 -0.1518138952 1.2845650941 -0.0548581531
## [586] 0.3377698786 2.2496175581 -0.2042569004 1.0063099491 -0.7784936114
## [591] 1.4424535950 -1.2320427092 -0.0537989185 -1.6295507083 0.5553553314
## [596] -0.6565601854 1.7982891459 -0.0911658913 -0.2935653578 -1.0414283965
## [601] -0.0922026444 1.7351421396 -1.1304109670 0.8899116848 0.8005825573
## [606] 1.5625812534 0.1109571365 -0.8421113643 0.7136563958 -0.1640436472
## [611] -0.0713743551 0.2676369147 -0.2872215256 0.5390214139 0.1301487957
## [616] -2.4134420115 -0.9838256833 -0.1066597488 0.6989979277 0.2696087969
## [621] -2.8923343780 0.1491734176 0.4564278621 1.5874939465 -0.1003855551
## [626] 0.6642320822 -0.6592590620 0.3500401309 -2.5471706567 0.1648435515
## [631] -1.3858984319 -0.1096880434 0.2522955575 -0.3097107560 2.0331405948
## [636] 0.3633551447 2.1475386304 0.5140110959 -0.0243174058 0.7845395019
## [641] 0.2580146562 -0.0410669875 1.9154727170 0.2147853092 0.2274476009
## [646] -0.2149789723 -0.4057409164 1.1168796216 0.0684407975 1.5182993943
## [651] 0.2741399060 -0.2850191946 -0.5889296985 1.4551268807 -0.3368425027
## [656] -1.3642122820 1.1504900398 0.6699223181 -0.8689070598 -2.5230507469
## [661] 0.7764609654 0.5425404850 0.9126140695 1.5652006166 -0.0421082574
## [666] 0.1976191194 0.0104999166 0.2695799448 -0.2066424987 -0.9009061139
## [671] -2.4995564992 -0.2770964928 0.7658553817 1.2088265214 0.7891599587
## [676] 0.7132136445 0.9871962915 -0.1285004389 0.6462838514 0.3326300982
## [681] 1.7179867848 -0.3038166976 0.2787374555 -0.3851214081 0.7819089945
## [686] -1.2287843310 -1.1081939889 -0.6907083667 2.0564551821 -0.2133931614
## [691] -0.3419221789 -2.8478959661 -0.3450916684 1.2099042602 1.0802801897
## [696] 0.2125637795 0.6299109308 0.4980656037 0.4098244618 -0.2777761976
## [701] 1.8495361156 0.3780648742 -0.7896247001 0.9312228460 -0.6258601626
## [706] -0.9264991255 1.1079303277 -1.2546047949 -1.1542596708 -0.3167570358
## [711] -2.0089222189 1.8843387437 -2.0592188401 0.3850582077 0.1556725625
## [716] 0.0725719112 1.4388105710 0.1760205122 1.6752409882 -0.0043474358
## [721] 0.3700845476 -0.8146316430 0.4639694139 1.2373159064 0.0762483504
## [726] -0.0419873997 -1.3071735336 -0.2956828391 1.3291779997 -0.0495752654
## [731] 0.4500327140 -1.8409479521 0.3441920264 1.1653680100 0.0323288008
## [736] -0.8575557660 0.5664468375 -0.2666610603 -1.1852083566 0.4062958526
## [741] 0.6820218724 0.4434549420 0.8785608920 -0.7067719113 0.1466086568
## [746] -1.6388951817 0.7091438008 1.3065945335 0.4189018269 0.2847518312
## [751] 0.6882087482 0.1549824726 -0.1994493340 0.0292878924 -1.5940875456
## [756] 2.2245391017 0.3430821044 0.0638181529 0.4991391640 0.3755278992
## [761] 0.2392786200 -1.3628154537 1.1108475358 0.3144471176 -1.4888706949
## [766] 1.5450308294 -1.1972906317 -2.0689798696 -1.9863480069 0.3406901615
## [771] -0.3356727730 0.4158596992 -1.0814063702 -0.8860826521 1.2886879211
## [776] 1.1185122173 -0.4675774384 -2.8591152406 0.1831737938 -0.6106893717
## [781] 0.9352219160 -0.1632455903 0.7609863039 -0.2242461457 1.5676053266
## [786] 0.3374970811 0.5613536698 0.1966652918 -0.1013088944 -1.2678953464
## [791] 0.9608115556 -0.2071692703 0.1496682909 1.1533988123 0.2573353684
## [796] 0.0505408767 0.4690895804 1.8304238497 -0.0197481188 0.2059867758
## [801] 0.5778563976 0.5348253160 -0.0299120257 0.0658914998 1.1913226119
## [806] 0.8471715888 -0.0475225425 -0.7844703555 0.7842226921 1.1056997117
## [811] -0.8193628854 -0.2540282941 0.1151239234 0.9277904940 0.0068528993
## [816] -0.5515739106 1.2665536193 1.2608212995 0.2516868560 -0.9237700852
## [821] 0.5199992454 1.0579788780 0.2708480402 0.1098843231 1.8610166488
## [826] 0.1187175171 -2.4210067306 0.5084773656 0.9482649551 -0.1200848082
## [831] 0.2841856409 0.9436388924 -0.5679076404 -3.2303339225 0.5684620218
## [836] 1.1929509388 -1.5084277308 1.0750157333 -1.9682633039 -0.4534881146
## [841] -2.4073773929 -0.8695932641 2.4840227059 -0.1491603063 0.6509553633
## [846] -0.6133675918 -1.0058646522 0.0590753256 -0.8290824405 -0.3069201636
## [851] -2.5589205965 0.7172252123 -0.6527627229 0.0186978047 -0.3265730175
## [856] 2.0059282606 -0.6465179224 -0.9457443475 1.4128138208 0.2104246626
## [861] -1.9770197448 -0.6482668879 0.5467126297 -0.3171090727 1.6703156795
## [866] 0.2247758807 -0.1007435517 1.4081413693 -0.0316937891 0.0794921285
## [871] 0.0886363657 -0.2822645489 -1.2741667104 -0.2254835809 -1.3784948346
## [876] 0.2186197306 -0.1681429218 -2.8065767462 -0.6412176391 -0.2150700024
## [881] -0.3348933283 0.4114118845 2.5353778376 0.5768624055 0.4673136906
## [886] 0.0508634672 1.1492673958 -0.0114426501 0.0955475555 -2.5270075453
## [891] 0.3865666398 0.7891540947 -0.9254555774 1.6180795525 0.5368608304
## [896] 0.7744150511 -0.0754518711 -0.5409745261 -0.3429828646 0.0055954778
## [901] 2.0719704248 -0.3758244245 0.5044940089 -0.1123449426 -0.3541017456
## [906] 0.5561076104 -0.6379291882 -3.1632276919 -0.3924276948 -0.3139341673
## [911] 0.0100700912 1.0950279379 0.1317764497 -1.6368946044 -0.3147422753
## [916] -0.3719712149 -1.4316135890 0.2987238456 -0.7511986233 1.6481249297
## [921] -1.3253905197 0.0331162115 2.6626314021 0.6034570389 0.9235618185
## [926] -0.8226303150 0.4700219273 0.3756896360 0.4045157050 0.9841358208
## [931] -0.0634797672 0.3393209635 -0.0373067309 0.0908982101 1.7775256409
## [936] -0.2619821350 -0.5273845418 -0.9558994323 2.3896313527 -0.4971860562
## [941] 0.4477697371 -0.2542315999 -0.3243035849 0.4923993312 -0.9464272926
## [946] 2.4160425371 -0.0600349639 -0.1587451173 0.6316843325 0.0156962270
## [951] 0.4399325738 0.8620694496 -0.4463253976 0.2600149484 0.9800692507
## [956] -2.1431971040 1.1259992461 0.1858329697 0.2678294756 0.2561621120
## [961] 0.0021414870 -0.3636470657 0.1592203557 -0.0656579035 0.1488611584
## [966] 1.2737019266 0.5643173581 3.0103639450 0.4146751554 -0.2379388540
## [971] -0.9654971667 0.5183993221 -0.5274134100 -1.5356985490 -0.1423176926
## [976] -2.0363572001 0.0217435340 1.6781518442 0.2472236175 -0.1644952198
## [981] -1.6079981294 1.4838723708 -0.6906671111 -0.1318790107 -0.6257617216
## [986] 2.2878461192 1.0694288370 0.2160341748 -0.1162339063 0.0496554037
## [991] 0.3834910115 0.4223367474 0.6957461794 0.0057793073 0.1162508543
## [996] -0.6967906825 0.8539803104 0.1160144508 0.3733143350 0.9198719143
## [1001] 0.5095279910 -0.2563233435 0.0996525724 0.1311402854 0.1785370192
## [1006] -0.2766667046 -0.0359661728 2.1868470479 -0.1996613854 0.7959228916
## [1011] -0.3383813270 -0.3053982019 -0.2362593593 0.6612731793 1.6013734812
## [1016] -0.2682724720 1.2029873020 0.2122381661 -1.6425938084 -0.1835236591
## [1021] 0.3599907018 0.9060585534 0.0405068176 0.6806502586 0.3660824342
## [1026] -3.0446877491 0.8590923782 1.8830237399 -0.2635285629 0.2432741562
## [1031] 0.3184495472 0.7306951259 0.5024525697 -0.3509851120 0.0993689273
## [1036] 0.7726901693 0.3385546482 -0.4823316421 0.9606525066 0.4641085778
## [1041] 0.3007116207 -3.3807131491 -0.6244470905 -0.1055210659 1.1933113864
## [1046] 0.6070992668 -1.8069013334 0.1585472614 1.8007081823 -0.6759062199
## [1051] -0.7945610099 0.8632176506 -0.1344018037 -2.0184306093 0.6196006823
## [1056] -0.5575170780 -1.0878344140 -1.8704147761 1.0818368089 0.3455602148
## [1061] 1.2800829475 -0.2927406686 0.2570846727 0.8817286834 0.3032931115
## [1066] -0.2825304270 0.7709122699 0.7464926130 -0.2102001133 0.6055723452
## [1071] 0.0437223892 -0.0242743618 0.3118414743 -0.2279986290 -0.6307168539
## [1076] -0.4474482092 -1.2881818338 0.0292057699 0.0135036291 0.6619410815
## [1081] -1.8881895331 0.8130964651 1.9192229038 0.6299785889 -0.1973304758
## [1086] 1.1755912515 0.7863718950 0.4544702996 0.3078708503 -0.2474521343
## [1091] -0.5024874753 -1.0549924505 -1.3539009966 0.5249626948 0.6469603213
## [1096] 1.1737143476 -1.5572366867 0.6106652752 -1.0473376727 -0.7880399439
## [1101] -0.0473378844 1.1969018138 0.2836556976 -1.0623837385 -1.6086001882
## [1106] -0.0988192639 0.4047258252 0.5275936048 0.5652568076 1.5097884744
## [1111] -2.9844645738 -0.1077754661 -0.9275991285 -1.0332478726 -0.0906591561
## [1116] -0.4278958040 0.7935069930 -1.5507523852 0.0667327195 1.3447707283
## [1121] -1.7751109306 0.1540285159 0.2878364387 0.5449449537 1.4168662634
## [1126] -0.6408007023 -0.2910225153 -1.2929988719 0.9505185520 1.3388361012
## [1131] 0.8093276358 1.0092005871 1.4256631111 -0.1238390017 0.0998105323
## [1136] 1.1141177754 -0.7309801304 -1.9654968819 -0.4005731303 0.2975900425
## [1141] -0.6912057624 0.5874751129 -0.9034652584 1.8002131648 -0.0645372515
## [1146] 1.3927197431 0.0877212059 -0.5885024069 -0.4466587722 -2.3498237980
## [1151] -0.2870964275 -0.6147760160 -0.4109082997 -2.7250181990 0.3782871360
## [1156] -3.9656372459 -0.0263460388 -3.4435095062 1.4480568164 -1.3220268026
## [1161] 1.2690656692 0.1422998270 0.6374183795 -0.3057076829 0.0320525684
## [1166] -1.6858833943 -0.5000930235 0.0091230445 1.3012730735 0.4833284381
## [1171] -0.6225573750 0.6292561829 1.2341208156 0.1007352093 0.2298880231
## [1176] -0.6066878800 -1.3742648388 -0.3791905596 1.5439062253 -0.5351497216
## [1181] -1.4440401404 0.3461917173 0.4882458307 0.7683781275 1.0139552377
## [1186] 0.3396151755 -0.6330450485 -0.1122768564 -2.1844783105 -1.9128151005
## [1191] 0.3055029863 1.2559696490 0.5592327912 -1.1666861116 0.4420478008
## [1196] -1.4811543700 -1.5683899516 1.1038350418 0.8710305188 0.9144912649
## [1201] -0.4210502419 1.8493446262 0.0259210221 0.5062210578 -0.1648547279
## [1206] 1.0355873322 -1.1752327496 1.1880179657 -0.7305341915 0.2715676008
## [1211] 1.2033361228 0.8036730941 -1.3121571114 0.6488463667 2.1911797744
## [1216] 0.0203821033 -1.4284359780 -1.5143386336 0.7878193703 0.9504657998
## [1221] -0.3261855238 0.3506872309 0.7020611435 -2.3491005635 0.4210664454
## [1226] 1.0154058949 -0.5070463725 0.2705821916 -1.0201446714 -1.0334545446
## [1231] -0.0240761201 -1.2479104048 -0.2655848662 -1.5442013048 -0.1701546713
## [1236] 1.9764476820 0.1276065590 2.6580380953 -0.0876937682 -0.0120513805
## [1241] 0.5574432352 0.0638446350 0.1266571031 -1.4564779442 1.0619560379
## [1246] -0.9485012756 -0.5571885407 -0.7717542685 0.2264605756 0.2425665074
## [1251] -0.9610097194 2.4075270550 0.1227156825 0.5628068600 0.6501078583
## [1256] 0.0059880943 -1.0295709112 0.8698068262 -0.3577138664 1.3660193070
## [1261] 0.0157418625 0.2661343498 -0.2466046571 0.2348599930 0.9830868435
## [1266] 0.0342099138 0.2762730383 -0.6231762866 0.4600876363 1.4976316699
## [1271] 0.6064744638 0.0852867329 0.0638578104 -0.1474101723 1.3087225278
## [1276] -0.8149544694 -0.2262739109 -0.3773583251 -0.0711335445 1.4474201487
## [1281] 0.1621461956 2.2591806656 -0.0515433685 0.2620511217 0.2957223237
## [1286] 0.2123805769 -1.0482861721 0.9977809794 -0.1355182912 -0.8205736292
## [1291] 1.6664250812 0.3122724620 0.1008694328 -0.4957201331 0.6529859645
## [1296] 0.2603864463 0.2203080648 0.5683626392 -0.8190837649 1.0486176797
## [1301] -0.5343438160 -0.6516550272 -2.6298034590 0.8432816842 1.2088280101
## [1306] 0.4293365151 0.0199953766 2.3853879729 -0.1216097795 0.6487872852
## [1311] 0.1264320219 0.4790289935 -0.3801680899 -0.2492847133 -1.0166078367
## [1316] 0.4272841091 1.9816411900 -0.3352110524 -0.6228670602 -0.2089211633
## [1321] 0.5076141957 1.0670071947 -0.5541004644 -1.4692678944 -0.0820584623
## [1326] -1.5821410894 -2.1319968822 0.7411033138 1.4066198155 -1.2023331094
## [1331] -0.0466243154 1.5329722129 -0.3695086827 -0.5771373116 0.1187076198
## [1336] -0.9206430801 0.4019961161 1.5686819604 0.6950201908 0.2600290295
## [1341] -0.4474143297 0.6826525968 -0.3109927630 -1.0110201156 -2.1054811527
## [1346] 0.0367294037 -0.4822609417 -0.7945109862 0.3019875097 -0.4317246596
## [1351] -1.4904916786 -0.6992762378 -0.5496985274 -1.9642411047 -0.8001053661
## [1356] 1.7501339017 0.0466906456 0.1749368349 0.1527234600 -0.2566715651
## [1361] 1.3856217777 -1.6868520768 -0.2348446690 -2.7488804990 0.0086207827
## [1366] 0.4863731776 2.0562983446 -0.0079278249 0.6520110435 -1.0707135405
## [1371] 0.9661895581 -0.5907226130 0.9469585236 0.9111476109 0.1293201617
## [1376] 0.9426781602 -0.1636296073 -2.3440963741 0.5778936204 -1.3683289460
## [1381] 0.3816565300 0.7663428852 -0.1864678972 2.3387994108 0.1816828659
## [1386] 0.4966032864 -0.3981078095 -0.8563994738 -0.1508609112 -0.8075383703
## [1391] -0.0015089101 -0.5433247648 1.8612191340 -0.2249454977 0.7681778630
## [1396] 0.7099440723 0.2981614034 -1.1819801289 -1.0078789859 -1.0131856292
## [1401] -0.0346739058 1.9410441311 1.8769119041 -0.0409874571 -0.3962132003
## [1406] -0.2830920257 -0.7848922129 2.0100014398 0.2058271696 0.4846419532
## [1411] 0.0623842765 0.0446804066 0.2531654542 -0.1542784081 -0.0167906112
## [1416] 0.1585287313 1.0402393536 0.2677060138 -0.0031837043 -0.5546201350
## [1421] 0.0366941780 -1.3747982551 0.9993160558 -0.0741224204 -0.1288611487
## [1426] 0.1407950937 -1.3626067850 0.8058767676 -0.1854293177 -0.1775038966
## [1431] 3.5017619636 0.4265265058 -0.6880926316 0.3601552293 0.2545203561
## [1436] 2.0896513777 0.4147931253 -0.3477278814 -0.1508864830 0.1488487056
## [1441] -0.0722212955 -0.0106681346 -0.3346926776 -1.6501931813 -0.7887467137
## [1446] 1.3295009571 -0.5802423249 0.3543978543 0.1225712336 0.5373247067
## [1451] 1.0938667289 -0.0474249033 -0.5382105578 -1.5864140364 -0.8779496802
## [1456] 0.0275570369 -0.4430782603 1.2448004311 1.4875868235 0.5422701197
## [1461] -0.3350051714 -2.4024979454 0.0480670169 -1.7049972604 -0.3182473840
## [1466] 0.3281333112 -0.0849720653 0.0193988881 1.4408082849 -1.1470833814
## [1471] 0.2545014150 0.9787101712 -2.9725367723 -1.0367638266 0.1424921548
## [1476] 0.0118184072 -0.3901262446 -1.4481411199 -0.1531114790 0.4981228603
## [1481] 2.1357600302 0.0582704528 0.2197516639 1.3165575638 -0.1956635560
## [1486] -0.5416101172 0.8482158758 0.4680026367 0.0187880064 -0.5879612197
## [1491] -0.2193129001 0.2150290309 0.4734112422 0.4341005708 0.0523001766
## [1496] 1.0593931637 0.0701519884 -1.0415106980 -0.6575445492 1.8992090967
## [1501] 1.5362719959 -0.9243864129 0.6634506566 -1.1767673457 -0.2934755541
## [1506] -0.6108762940 -0.1603265332 -1.5487200403 2.1042249348 2.5488317119
## [1511] -0.1580269777 0.3970736128 -0.2731419546 -0.3042763554 0.2657148369
## [1516] 0.8105050413 -0.0051826231 -0.1088502144 0.1407802318 0.0261421435
## [1521] 0.7927429135 0.4823820957 0.6510472679 0.2264701007 0.0010426906
## [1526] 0.8980584748 -0.3013133562 0.8610683038 -0.6519672161 -0.4328637620
## [1531] 1.7340756014 -1.7269504959 1.3368103288 0.0662754046 -0.2326607224
## [1536] 0.7690840169 -0.0836796138 0.2328516628 0.0908573059 0.1113019255
## [1541] -0.1763206632 1.2824043308 -2.0303212920 -0.8377042546 1.1639657810
## [1546] -2.3663551074 0.5998641626 1.3013662796 -0.0844125376 0.2437652976
## [1551] 0.5160098233 1.1189586716 0.1239370286 0.2216860947 0.5800562555
## [1556] 0.4355486733 -0.3375700071 0.1931367220 0.8639818743 -0.2487878104
## [1561] -0.8877364529 -0.3848627020 1.0976816505 -1.3106659027 1.0476798667
## [1566] -0.4769270736 1.1474652317 -0.0834178846 0.6063165210 -0.6872711926
## [1571] 0.8017519983 -1.6482309476 0.5512744813 -0.6076233841 0.9112474414
## [1576] 0.5087982316 1.8030231870 0.4509870808 -0.3782374946 -3.2458148024
## [1581] 1.2781135364 -1.2409975782 -0.5565847614 0.7685593927 0.4178608572
## [1586] 0.9903042551 0.0006046576 0.4135473967 -0.2005956681 0.8322471803
## [1591] 0.2921267996 -1.1676965434 1.1262251092 1.2237132274 0.2130379779
## [1596] 0.6219921846 0.5098414040 -0.4759209894 0.5801854063 0.0059600346
## [1601] 1.4844191496 0.6802653675 -0.6855095630 1.4289410362 -0.0905996298
## [1606] 0.2341384421 -1.1928610498 -0.4006160011 -0.0789361571 0.9553371704
## [1611] -1.0510906137 0.5288616474 -2.1487712732 0.7051444991 -0.6758730492
## [1616] -1.7454141975 0.9252816907 1.3995197918 -0.0354565628 -1.1206928577
## [1621] -0.8998921171 1.5825408556 -0.5737498563 0.7679090962 0.8106489530
## [1626] -1.4852079834 -2.4757507267 0.1971894517 -0.9761423893 0.7583343076
## [1631] 0.7909648144 0.5266583748 -0.3868073049 0.5166818445 -0.0550530675
## [1636] 0.0894063281 1.1802480338 0.5871452828 0.8409037977 0.0214383791
## [1641] 1.6977641957 0.3411498858 0.1613717662 -0.4652502748 0.3630432301
## [1646] 0.6915639509 0.2261403838 0.3007469373 -0.2872434006 -0.6175151201
## [1651] 0.4197594376 0.1403510656 -0.6604066539 0.0662690935 -0.0250974015
## [1656] 2.3705746611 0.2355568259 -0.2237934304 -0.9091865062 -0.5955787806
## [1661] 0.6186583869 -0.5805916677 -0.1909590934 0.4780266775 -0.9152510144
## [1666] -2.4779816218 -0.4241009902 -0.7949198737 0.5175891933 -0.8164107661
## [1671] 1.2149105543 0.5299406638 -0.5648861628 -2.3045990616 0.3065476164
## [1676] 0.2328377212 -0.4012238439 0.5510701635 1.1110162269 0.1607187134
## [1681] 0.0076633923 1.4806801643 0.9880457124 0.4054170448 -0.4718534518
## [1686] 0.3928305843 0.8578051524 0.6331759716 1.8584849557 -0.2391465742
## [1691] -0.9935323270 -0.6384162744 -0.3604576590 -0.3984123624 0.5266808675
## [1696] -0.6363143445 -0.9593724720 1.2379154065 -0.0975911330 -1.3913561465
## [1701] 0.9961192360 -1.1885527117 -1.6490201878 0.0674096934 2.7096971551
## [1706] 0.5645595532 0.3850383966 -0.7142139756 1.4279625202 0.6485995852
## [1711] 0.6554611447 0.0095669647 0.6406124314 -0.5494190853 0.3937391839
## [1716] 0.5592129874 0.1758605217 0.7805084000 -0.6916257874 -0.5545466748
## [1721] 0.4308354949 0.5500110362 -0.4449805189 0.6960729349 -2.1875256994
## [1726] 1.7354559087 0.0818617071 -0.2875149425 1.0350413289 0.6079131335
## [1731] 0.5487515269 -0.5007096744 -0.2872907110 -0.5376827495 1.2317574536
## [1736] 0.7107860337 -0.1844241781 0.0229951822 0.4005034314 -0.1311377235
## [1741] -0.4735844577 -0.5685872611 -0.2348225794 -0.8079646732 2.0443061108
## [1746] 0.2679340366 -0.4926981558 -1.8150914615 -0.5118883047 -0.0142701412
## [1751] 0.9376349406 -0.4560077294 2.5151160803 -0.0655855296 0.5814361708
## [1756] 0.6662094582 0.3760057950 0.6426979012 -0.0469041177 -0.0264311989
## [1761] 0.6142783010 -1.4113537262 -0.0482689204 -0.3847163686 0.9639705145
## [1766] -0.0330238536 0.0568972194 0.3935977791 -2.2253428190 1.4772664489
## [1771] 0.6443499838 -0.1737349384 -0.5335357900 0.3923220193 0.0850116586
## [1776] -1.3914947431 -3.0186573752 -0.4706322665 0.6231389365 -1.0878585721
## [1781] 1.1652079430 -0.6542904568 -2.4196751205 0.6095922877 -0.1706421247
## [1786] 1.1202040412 1.1738348107 0.1354670148 1.0248684921 -0.0249339676
## [1791] 0.5781358791 0.5010947019 0.1272016820 -0.7695359216 0.7209398019
## [1796] -0.2359014025 0.8039176046 -0.1776910746 0.0030286620 0.7290479330
## [1801] 0.4153738088 -1.1502535200 2.2466821540 -0.0062007786 0.2132908929
## [1806] 0.0709364023 -0.0648588493 -0.7543540677 0.0455846537 -1.8518863384
## [1811] -0.3754053502 1.3340573817 0.9356536750 -0.7954218374 0.7883869113
## [1816] -0.3892700081 -0.6778917553 0.6238763880 -1.0227399656 -0.2703863427
## [1821] 0.6916105208 1.1970966447 1.0099057566 0.4015582456 -0.1658525400
## [1826] -1.9533949263 -1.3868603067 0.4457760494 1.3585900474 -2.4649984965
## [1831] -0.8412767225 0.7370328876 0.6263817151 1.0131680286 0.1316150043
## [1836] 0.3911422900 0.4495465528 -0.2570666145 0.2116035355 -1.0648440912
## [1841] 0.4131102166 0.6372271914 0.4118872536 -0.0206387824 -0.2052669605
## [1846] 0.2981517902 -1.4985993322 0.8346860277 -0.2047140801 0.2374425349
## [1851] 1.5731354172 0.0611275424 -0.7208478218 -1.4539760588 0.5254510007
## [1856] 0.5580273807 -0.9764512092 1.1877102423 0.3301876208 0.6222850513
## [1861] 0.8968036077 -0.1659691293 0.8378513396 0.2870465013 0.1182725338
## [1866] -0.0644416951 0.3345365992 1.1849408874 0.7893009483 0.1594982779
## [1871] -0.0434943235 -0.6502989195 -1.3083976648 0.5294391915 0.1443800732
## [1876] 0.3892400671 1.4132810519 0.2121863456 0.2989630812 -0.0236744111
## [1881] -1.1965435566 0.8468870881 -0.2017220188 0.3389660754 -0.0680040382
## [1886] 1.2574405899 0.1151019896 0.9916516757 -0.6882781168 -1.2420911545
## [1891] 0.7591076303 -0.6789809422 0.2433736806 0.8319011195 -0.3292628025
## [1896] 0.7375031082 -2.0888671822 1.4370350676 -0.2994619406 0.6809210371
## [1901] 0.2438606222 0.0715232861 -0.7511079745 0.0448069252 -0.7410097532
## [1906] 0.0099797301 -3.4608401889 -0.3014405660 0.8033840122 -1.1108640904
## [1911] 0.0017405290 -0.6641457805 1.4088480299 0.3135839007 -0.1978276882
## [1916] 0.8586453854 0.5597132154 -0.0082157955 1.2066037665 0.6740503225
## [1921] 0.3422395773 0.4273118366 -0.3010433765 0.7533441833 0.1664753108
## [1926] 0.0082874852 -0.2928998265 0.5932664385 -0.0983511291 -0.1458132205
## [1931] -0.2960103041 0.9894282716 -0.5804010463 -1.2451706743 0.6393948398
## [1936] 0.1560080741 -1.0966771943 -0.1237612065 1.3490261229 0.2143571385
## [1941] 0.8408089113 -0.0812567484 -1.4262867196 -0.9293038562 1.2297009880
## [1946] -2.4205623576 0.9599861020 -0.2858944090 -0.3326123042 -1.6823862799
## [1951] 0.0005712057 1.3206694999 -0.1753817357 -1.8224592447 1.7774356599
## [1956] -1.8646254698 -0.8820606148 -1.2947264104 0.1175607720 -0.6559306416
## [1961] 0.0122117552 1.1653399453 0.8063882033 1.7601429448 -0.5820474154
## [1966] 1.0224672912 0.5857579474 -0.1316174793 1.1206000534 -0.1281905798
## [1971] 0.6182112273 1.2105428312 -0.0118871164 -0.3045673802 0.6501877169
## [1976] 0.4457888718 0.0434554118 0.4125783173 0.0965975527 -0.1029105778
## [1981] 0.0819049507 0.0390057929 0.1248752027 0.9055427704 -0.2597623928
## [1986] 0.3517102919 0.9602010685 0.5087278921 -0.2082433647 0.5234825122
## [1991] -0.4809138480 -1.3116781102 1.1159797991 0.6266515369 -0.1964373072
## [1996] 0.2922668838 -1.3203491399 -0.0396346116 -2.8678323127 0.5419761493
## [2001] -2.0409638128 -0.6526705785 -0.9078639215 2.1589913950 2.0485901111
## [2006] 0.3255228071 0.2918238207 0.1439488559 -0.0124040386 0.3174665059
## [2011] 0.0883710183 -0.5397541527 -1.1945723006 -0.0377068155 -2.1908382034
## [2016] -0.8470994952 1.1159618756 1.6761040784 -0.7089023008 -0.7083853428
## [2021] -0.2333608812 -0.5658026343 -0.9455714577 1.3606925866 0.1484767237
## [2026] 0.4863830213 1.6451732308 -0.5325392415 0.2609331606 -1.4650722513
## [2031] -1.3599057557 0.8928987200 -1.2452508032 1.1770731271 1.2728164227
## [2036] -0.3538252071 0.9300730317 -0.3134897564 -0.4167580531 1.1029577836
## [2041] -0.0029535531 1.0492643104 0.4381638814 0.1815761630 -0.0381538041
## [2046] -0.1375540847 0.8392179820 -0.0418399822 0.4023267208 -0.1165217646
## [2051] -0.2361004624 -0.4936800971 1.0431999212 -0.7483590172 -0.7250110751
## [2056] 0.1979040327 -2.4613833963 0.5064727162 -2.2930544125 -0.2005477630
## [2061] 1.3999547068 -0.6339211568 1.4539600432 -0.3319043308 1.2852135611
## [2066] -0.4937598698 0.9556931385 -0.1860642789 -0.7015364328 -1.7189704349
## [2071] -0.2445357342 0.2597955115 1.4231836275 -0.9567039603 -0.4298567963
## [2076] 0.4025817632 0.7945343412 -0.2528753654 0.3481135817 0.6082845380
## [2081] 0.7305111082 -0.6560410872 0.2377424693 0.7874047446 -0.1197640356
## [2086] -1.8366724479 1.2551075034 -0.1913775127 0.6947889222 0.3290253743
## [2091] 0.3298290608 -0.6360629517 0.4319100875 -0.6054996930 -1.6742702528
## [2096] 1.5555632608 0.3768907913 -1.6070522534 -0.5366280551 0.4720280919
## [2101] 1.7524120752 -0.5803046182 -0.3498563139 -0.0381949277 1.4297246356
## [2106] 0.0941966502 0.3976011779 -0.0882115932 -0.1351041612 0.3571768035
## [2111] -0.3560795023 -1.7077412289 1.3037753877 -0.1696520682 -0.8980257335
## [2116] 0.2899095844 -0.1493808459 0.3296724547 -1.4042857578 -0.2129873353
## [2121] -1.0108742424 0.0633989417 1.9085393961 0.2311796995 -0.9871479435
## [2126] -0.6407687053 0.8046077841 0.2821511084 1.4761878025 -0.7225106622
## [2131] 0.8403906382 0.0881968421 -1.0834148408 -0.4229809701 -0.0577516902
## [2136] -3.2891254133 0.2637131404 0.7341667607 -0.0336362551 -0.4527267764
## [2141] 0.7455224246 -2.1075060858 0.2298778841 1.3347726787 1.1283330511
## [2146] 0.4446053794 -0.0778360296 0.9063513755 0.1260427409 0.0939039461
## [2151] -0.5543925267 -0.3218848324 -0.8061787597 -1.5330875921 -0.7427992523
## [2156] 1.6084441973 0.8493071344 0.0033385051 -0.2859059466 -0.3671143615
## [2161] -0.3144761897 0.4558865905 -1.1839037116 -0.4164772885 1.9171629377
## [2166] -1.2088729301 0.1143550104 -0.1637976799 0.5318757409 0.7338840384
## [2171] -0.3765189034 -1.2401340490 -3.0106694070 -3.0807374903 -2.5630623487
## [2176] -0.6478978497 1.9181365401 1.0263696855 0.0261145511 -0.3943559221
## [2181] -1.5112691084 0.8429168283 0.0557087852 -0.8053828813 1.3343660202
## [2186] -0.7185683457 0.2821635215 0.2594777602 -0.2568664710 0.8635182538
## [2191] 0.6002996222 -0.1870533280 -1.2847146234 0.3437374160 -1.0031870991
## [2196] -0.1660006973 -0.2942625113 -0.0436231297 -2.6228777999 0.0912147969
## [2201] 1.5148720905 0.1452255564 1.1324559273 1.4167492730 -0.2628670127
## [2206] 0.6307007776 0.7248704307 0.0620154635 0.1177658940 -0.6813012459
## [2211] -0.4872608490 1.6009786306 0.4447651270 0.0279361069 -0.1577277153
## [2216] -0.6926212348 2.0100044240 1.1060640590 -0.1891754368 -0.2709622161
## [2221] 1.3301029112 -0.0478662433 -0.5502652732 1.4064344539 0.3010908316
## [2226] -0.4173632648 -0.1402187900 -0.0457872512 -1.3803775598 0.1953365860
## [2231] -0.4434379785 -2.0153507823 -1.3247498389 1.6364247968 -0.1322200909
## [2236] 1.6990459759 -0.1050722938 0.3828174700 -0.1321105314 0.1398568672
## [2241] -0.0157928554 0.0773812837 -0.6442429315 1.5081147128 -1.4194776635
## [2246] -1.7151737475 2.1105505217 -0.5931105510 -0.5780591556 -0.7243285305
## [2251] 0.2166412643 -2.0262655640 0.4058423017 0.9628041318 1.3178694327
## [2256] -1.3152740317 -1.4813702170 0.5905074557 0.7040943336 1.0288275194
## [2261] -0.1328160612 -0.1954271492 1.0189711604 -0.6937484208 -0.9382643543
## [2266] -1.5368688190 0.1824895225 -1.2890122399 -2.2299382075 -0.8066794043
## [2271] 0.0649362016 0.6406869928 -2.1791670549 1.1494951749 -1.4864574433
## [2276] 0.0334982409 -0.8051434835 0.3653372829 1.5184354955 -1.0951043743
## [2281] 0.9650977083 -0.7568159911 0.3956774890 1.8785200345 -0.0291842663
## [2286] -1.3523447020 0.3372138111 0.1110599371 -1.4705413146 -1.0410018343
## [2291] -0.0483031056 -0.0149020992 -1.0563755206 1.6353687507 1.2436817965
## [2296] 1.1967642471 -0.3329463152 -0.0019912893 1.1887515992 -1.0086937939
## [2301] 0.3563521762 0.9716372178 -0.1617195218 -0.7591312152 2.2602186771
## [2306] 0.3096586819 0.2844109449 0.2887037794 0.0829628442 -1.1415846164
## [2311] 0.4959276718 0.0161652907 1.8120189079 -0.1212196538 -0.1899513022
## [2316] 0.6178273984 0.7555092960 0.5165589365 0.1210390515 -0.1148357678
## [2321] -0.8895113647 -0.0523379923 0.0798684331 1.3559357182 0.6197080101
## [2326] -0.2989250090 0.9677053165 -0.4832350959 -1.5850028908 1.4425721050
## [2331] -1.5232857863 0.3189334479 -0.3335309092 1.2356117626 1.2216841862
## [2336] 0.0202111239 -0.1229985021 0.8662802404 0.4101003610 0.1061483312
## [2341] -0.7677937564 0.0071114571 -0.2839839063 0.3055266798 0.2794168703
## [2346] -1.6290945873 -0.7793953074 1.1990138764 -1.2732822540 -0.8177217055
## [2351] -0.0330344527 0.4638093311 0.1143138815 1.9789307058 -1.2619276691
## [2356] -0.0210742166 -1.1279115255 1.2481983898 -1.1500122974 0.0241254504
## [2361] -0.4665032896 0.7888607601 -0.2777522876 1.9070100241 0.8192741839
## [2366] -0.0251483488 0.5456070436 -0.1332871431 0.1593702490 0.4183317350
## [2371] -0.4495303831 0.7789740450 0.2056875743 0.5508296344 -0.2923447883
## [2376] -1.6225962067 -1.2550172804 -0.2606033546 -0.2800000832 0.4970114154
## [2381] -0.5332152197 0.9682366481 0.4412591609 -0.2774909952 2.3113827065
## [2386] -4.8924841938 -1.1728335301 1.1061929302 1.0485108069 0.8343314520
## [2391] 0.1238721622 -0.4743542545 0.3924763612 -0.0685860763 1.2882584661
## [2396] 0.2766217843 0.6101915518 0.0123302973 0.5175080112 -0.0965062295
## [2401] 0.2651186448 -0.1703734177 0.5385177007 -0.4757183798 0.6230078394
## [2406] -0.4249993854 0.0474122635 -0.1857690751 0.2604356655 0.2753243416
## [2411] -0.2224811936 -1.1568611581 0.5347027144 0.0370157575 1.5510713306
## [2416] -0.1453092009 0.0652610464 -0.5011736052 0.8414358926 -0.1397076143
## [2421] 0.5076087949 -1.0151124025 0.3311856266 0.4011563680 -0.2689917141
## [2426] -0.1079691331 0.3842309405 -1.0504954649 -0.2589755103 -0.3071135141
## [2431] 1.0341139378 -0.3688369544 -0.4578744791 -0.0080676526 0.8395064183
## [2436] 0.5803478867 -0.0285918311 -0.4463710373 -5.0228401642 1.3756764071
## [2441] -1.3245502789 -0.0494316315 0.9138634714 -0.3468503164 -0.0018224732
## [2446] 0.0315277082 1.2282617127 0.7017988686 -0.6424570235 -0.9978075475
## [2451] 0.7364047817 0.6205797354 -1.1398418730 0.9354252977 -0.3844740018
## [2456] -0.6172717018 0.5506795258 0.0641972618 -0.4609998258 0.6758736565
## [2461] -1.8751159599 0.1445755556 -0.4161959817 0.0282802059 -0.4515403778
## [2466] 0.9452085112 0.3313886932 -0.2173622086 -0.0138828438 0.8169508141
## [2471] -0.6497372422 -0.3001156483 -0.5326689743 -0.5629124025 -0.0223629536
## [2476] -1.2884840055 -1.1401581592 -0.7320572417 -0.2763078732 3.7818297035
## [2481] 0.3750233734 1.1664817580 0.2000072574 -0.1537248124 -0.0135737448
## [2486] 0.9356463431 -0.1979988520 0.6193323795 -0.3267217731 1.0678037487
## [2491] 0.3017062655 0.1183601713 0.6031863478 -0.8309667761 0.2095979584
## [2496] -0.4363843948 -0.5958053277 0.0681452941 1.0371874513 0.5842155966
## [2501] 2.2763706355 0.2904187176 0.8398803107 -0.1617115215 0.9769834487
## [2506] -1.1982658595 0.5417933277 -0.2532555427 0.2995772539 0.5758618221
## [2511] -0.3987918691 -0.3124221916 0.2170565420 0.4038515454 -1.5446315436
## [2516] -0.0477406665 -0.7912211886 1.4306377831 0.8763704538 -0.1174923145
## [2521] 0.5621111365 -0.5819358839 0.0000000000 0.4919989593 -0.3816013120
## [2526] 0.3370571625 -0.5560913971 0.3325142454 -0.6976313247 0.6434293342
## [2531] -0.5149031390 1.2624337761 1.4229081322 -0.1185177085 -0.1460694080
## [2536] -1.0576164647 -0.1497978574 0.0522672269 0.1037827843 1.3627836437
## [2541] -0.3627849664 0.0400545727 0.1270794427 1.0865072258 0.6395710554
## [2546] 0.9449498094 0.7014326300 0.8746677014 -0.1491253367 0.3005696517
## [2551] 1.1126615402 -0.1892746703 0.0758982715 0.2798865481 0.1957339739
## [2556] -0.5094983075 2.6967132720 -0.8252496678 0.0710292830 -0.4892980432
## [2561] -0.4496355843 -0.3645342065 0.1321968089 0.5629261947 0.0642384143
## [2566] -0.6161740923 1.5274411676 -0.2645220974 -0.2223716686 -0.3533271000
## [2571] -2.2562304568 0.2643960320 -0.1562944260 -0.1309102757 -0.1659013492
## [2576] 1.2267755339 0.1726959795 0.4879148059 -0.3852903610 -0.2888655933
## [2581] 0.1014789453 -0.5743064342 0.3642187186 -0.1595749429 0.1360949960
## [2586] -0.2908659201 -0.7757458380 -1.3759548902 1.5574893548 -0.4662911846
## [2591] -0.2837402569 1.2912154142 -0.4835119838 1.7653361699 0.8514230744
## [2596] -0.0681918299 0.0820485211 -0.2993835922 0.2820331172 0.2013090210
## [2601] -0.2239569796 0.1059949895 0.7686103831 0.0069659338 -0.1970708452
## [2606] 0.2227269767 -0.4361894827 -0.3006816565 0.9830629600 -0.1351396368
## [2611] -3.6973630054 0.4336620917 0.8361817054 0.6440683837 0.2368205023
## [2616] 0.3393782906 0.6353017134 0.0455627199 -0.1865143322 -0.0745831117
## [2621] 1.2791061254 0.5837141822 -0.1963437553 -0.4681533595 0.2703830915
## [2626] 0.0477034103 -0.1537460036 -0.1870099209 0.8828362079 -0.1896793080
## [2631] -0.4384878083 0.0561393598 1.6868478165 -1.1661966868 -0.0955691437
## [2636] -0.0781030334 0.2781393960 0.0580627401 -1.5408386291 1.4710663785
## [2641] -1.3062523818 0.2161772089 0.3431306567 0.2253693420 -1.5281126263
## [2646] 0.9269054558 0.1332469839 -0.1186628710 1.1594479911 0.2839147948
## [2651] 0.7389908815 -0.0084361939 0.0998640311 0.9337738219 -0.0261257258
## [2656] -0.0651864704 -0.1956622430 0.5532625192 0.0539595671 -0.1912847217
## [2661] -0.2699618216 -0.1491301087 0.5104929064 0.1027068623 -0.4639657070
## [2666] 0.4006745899 0.3508788855 -0.5186421628 -0.0776349388 -3.1588588140
## [2671] 0.1778400555 1.4717304819 -0.0667546816 0.2013848568 -2.3262667781
## [2676] -0.2118591387 0.1427589782 1.2933690966 -0.4261207134 -0.2686700014
## [2681] 0.2285585792 0.0702612377 0.1283052432 0.7366322045 0.9176210216
## [2686] 0.3134356228 -1.2481713521 0.4818172907 -0.0284027161 -0.2485514773
## [2691] 1.8684539171 0.4872102913 0.1137493175 -0.1740955128 0.3052205757
## [2696] 0.2495627331 0.1972328579 0.1166176321 -0.5794708913 0.1236103065
## [2701] -0.4367500515 0.0143361288 0.8300741580 0.2384087048 0.7477063281
## [2706] 0.7677732686 0.4205532851 0.2463013281 1.1363508188 -0.2028816191
## [2711] -0.3505792468 0.4585250036 0.3595849553 -0.3417742087 0.1801191415
## [2716] 0.3655181537 0.1416608848 0.1587963266 0.0710983380 1.1206304058
## [2721] -0.8119048168 0.3213032526 -0.9447080507 0.2465024140 1.5964979725
## [2726] -0.5527990718 0.1659037610 0.2898213074 0.0355879390 0.5978029873
## [2731] 0.2459398005 -0.0374678222 0.2929952657 -0.7773912245 -0.1809294192
## [2736] 0.2021605311 -0.4837175127 -1.1601005918 1.5875977628 -0.4467744906
## [2741] 0.2223138679 1.1774833038 -0.1274292047 0.3630127221 -0.0698137438
## [2746] 1.8425005123 -0.0580813402 1.3457407856 -0.3081994416 -0.1671485781
## [2751] -0.6222493642 -0.0192178012 0.5143360066 0.9820915951 0.5530341169
## [2756] 0.2721584095 -0.0859198283 -0.7666471931 1.6590171548 0.8599564216
## [2761] -0.5155272865 -0.1354907793 0.3388654755 -0.0808254299 -0.1938607963
## [2766] 0.1493008920 0.3561416277 -1.0280751885 1.5574656272 1.0578821733
## [2771] 0.6422801784 1.1367777502 0.2569328543 0.2105003841 -0.1876725942
## [2776] 1.2293617668 1.1031259136 -0.5545360304 1.5080310377 -0.2338256963
## [2781] 0.6648463987 1.2412515651 0.3159662846 -0.0853118696 0.0964541455
## [2786] 1.9730746068 -0.9308742686 -1.4980405653 0.0606546050 -0.0856779328
## [2791] -3.0063490654 -3.9601724068 0.9262484829 -0.2730852037 -2.2536388090
## [2796] 0.6953351404 0.6788305656 0.1344621477 0.7459178828 0.6989443090
## [2801] 0.0227327872 -0.3876861328 -0.3910438389 0.0739203978 1.3077431037
## [2806] 0.9158076088 -1.0150897780 -0.8845859057 -1.0816265282 0.4032729270
## [2811] 0.9336446643 0.2262665834 -0.0446916746 0.4431933678 1.8146433000
## [2816] -0.1158743651 -0.6251040119 -0.5860819780 -0.0834539606 0.1946746416
## [2821] -1.7448471876 0.1573096398 -0.2099508970 -3.0903918702 -1.7111906069
## [2826] 1.9151845728 -1.0607506667 -0.1770433692 0.8986988950 -1.5116164963
## [2831] 0.7729132141 0.7341930517 0.4539828756 -1.5700102732 0.2149175613
## [2836] 1.1579688487 -0.3787186681 0.6022022779 -0.2228904911 0.6714539381
## [2841] 0.9188513926 0.0727628313 -0.5425805620 -0.8518767801 0.0056756986
## [2846] -1.4615769194 0.1834805336 1.1126882062 0.1165600292 -0.9232005652
## [2851] 0.2865381685 -0.8654349592 -0.2719647043 1.6274776816 0.3923452019
## [2856] -0.0319058053 1.2348669867 1.1378284006 0.2016030764 0.1110815072
## [2861] -0.9185773342 0.5395318412 -0.1182334173 -0.3849791855 1.1208997702
## [2866] -0.4592386034 0.4920297511 -0.3172110069 -0.3848882097 -1.9615003153
## [2871] 1.7525033548 -0.8300006711 1.3123586988 0.5119933820 0.0842507259
## [2876] 1.0915596771 -0.0889837544 0.4138314145 0.1483063668 0.2555748059
## [2881] -0.6210596368 0.3876607817 -0.1657263637 -0.3618367009 -0.7070589822
## [2886] 0.3002862038 -1.1528968548 0.3178068214 -2.4402278143 0.2910087554
## [2891] -1.2042992790 0.8178353426 0.1014814192 0.4347026029 -0.7329458785
## [2896] 1.2831990385 1.1831690821 1.1760107800 0.4451016226 -0.9567167635
## [2901] 1.1587136403 0.1379944985 -0.1397728537 0.5703266053 0.3195556264
## [2906] -0.6131545505 -0.1498970247 0.3037087658 0.8181970734 1.5399154744
## [2911] -0.4593945135 -1.0308745795 -0.8772498942 0.7354291826 -0.1586435823
## [2916] 0.7861967069 0.7412436234 0.5678441121 0.4631975913 -0.0443133817
## [2921] -0.2540149008 -1.2990955224 -0.6734413229 1.0772524298 -1.2379771680
## [2926] 1.2017249016 0.4792897409 0.3632689500 0.3226008168 -0.0647344465
## [2931] -0.2878046541 1.0879654013 1.2841270203 0.0420766914 0.9325215797
## [2936] -0.7141081857 0.0217876764 -0.2807606884 -0.4931481399 -0.6555307114
## [2941] -0.3985509539 0.3491913899 0.7041798559 0.0668736887 1.0190564289
## [2946] 0.0509032700 -1.0665322790 0.9718302579 0.2198840815 1.4191958102
## [2951] -0.0605639386 -0.6047389760 -0.2270812455 -0.5933843929 0.5015430849
## [2956] -0.0012683857 0.6935343461 -0.0752524788 0.1389589426 -1.6434630312
## [2961] -0.9582971628 -0.0664838376 -0.2489188756 -6.0618868705 -1.5111627202
## [2966] 0.9440095864 -0.4009796590 1.5419290080 -0.0167700166 -1.0444685597
## [2971] -0.0259249010 -0.3352738525 -0.4612289186 -2.7784817678 1.1649681915
## [2976] -1.0806232922 -0.4038742000 1.0227784791 0.7104986322 0.7204623730
## [2981] -0.4522031148 0.4248714890 0.5064809106 1.8039038587 -0.1875055707
## [2986] -0.7451876923 -1.6596726532 -0.1105138290 -0.6127106518 0.8916901901
## [2991] 0.1906968877 -1.5518463755 -1.5413113575 0.2335417249 -0.5448166569
## [2996] 1.3471313725 0.2690077396 2.0163965473 -0.1614277051 0.6499466494
## [3001] 0.9085813421 -2.7821008470 -0.0917413347 -1.5437664413 0.1055289708
## [3006] -0.0232042633 0.3821320780 -0.0151459747 -1.5811562244 -1.5622627799
## [3011] 0.0058612581 -1.1423804010 -1.1481247347 -1.4727089831 -1.8046017138
## [3016] 2.7687891041 0.3493024653 -0.0549502781 0.4077303435 0.0656725059
## [3021] -1.4136590677 1.7887787267 0.3240682901 0.4835249201 0.2189142799
## [3026] 0.2616343688 -0.0091818117 -0.3594498217 0.7806710299 0.1676668130
## [3031] 0.6173895760 1.1208168727 -1.1976765605 0.1792843873 0.1208107417
## [3036] 0.8008576628 -0.7640351049 -0.1452197354 1.6505699562 0.8152797425
## [3041] 0.0873995364 0.7067843171 0.5071376041 -0.2524673716 -1.1345449384
## [3046] 0.0790910175 0.0885778619 1.7035594725 0.3514574399 -0.3270143213
## [3051] 1.4081504336 0.1801053668 0.2272638794 -0.4789771275 0.9020252519
## [3056] 0.1727810628 -0.1171244431 -0.0848621292 -0.4629856922 1.1564385193
## [3061] -0.6205851035 -0.1838491087 -1.1092665504 -1.3198509472 -0.3200117852
## [3066] 2.2805867651 0.3588211210 0.8894208006 -0.1116329319 0.6791048948
## [3071] 0.5164391080 -0.0188887968 -0.4503350378 1.7062137301 -2.6270775049
## [3076] -0.0838327378 0.7681954688 -0.5114450836 0.4129575837 0.8157585648
## [3081] 1.4158974340 0.0019873868 0.2614084873 0.2690240969 0.6316220687
## [3086] 0.1468252194 -0.9014184145 0.5098493911 0.0057849490 1.0517382123
## [3091] -0.0971679944 0.0825213565 -0.3858749784 0.2756164091 0.1825853936
## [3096] 1.6419478284 -0.3553537022 -0.0619413471 0.8183419634 0.1854264261
## [3101] 0.1708391129 -1.3991294817 -0.3577490988 1.6668980308 -0.6765132927
## [3106] -2.5539892021 -0.1814655316 -0.3647767361 0.4725194431 -3.2487083869
## [3111] 0.6842541098 0.5189310603 0.8331491412 -0.5616835334 -0.6818566360
## [3116] 0.8821629240 -0.2979839250 -1.3453652830 0.1426176911 -0.9501473812
## [3121] -0.7822913180 0.2411699105 -1.6264285695 -0.3019567568 2.4599813985
## [3126] 0.7134228043 0.5562501871 0.9986012947 0.4432369286 -0.0353531337
## [3131] -0.2214657525 0.4740262925 -0.1962717986 0.1204982088 1.3285911226
## [3136] 0.3826264883 1.2720305605 -0.1604802615 -0.2344118468 -1.3622016001
## [3141] -0.1634537937 0.5351725471 0.8327906387 1.1101209973 0.4095483224
## [3146] 1.1176807035 -0.2545184334 -0.7181436433 0.1854697864 0.7092859259
## [3151] 0.3631656548 0.7608265347 0.0290364001 -0.5882176800 -1.1459514000
## [3156] 0.5922075337 -1.0435908351 0.4586427860 1.1406857979 0.7436130318
## [3161] -0.8432120575 1.1685759317 -0.2441063917 -0.4082184871 -1.7913094384
## [3166] -1.2608219207 -0.9625333201 -3.9414667613 0.9540434763 0.0570481033
## [3171] 1.4984963543 -0.4930572204 -0.9775517547 1.1896675816 -2.2897953769
## [3176] 0.1494727856 0.9437717312 0.8023593864 -0.5461277284 0.5975581552
## [3181] -0.0387696117 -2.1801483054 0.7298409500 -0.2228524050 0.4895863928
## [3186] 1.0048111859 0.0512235612 -0.5970022768 0.9755335210 1.1712802107
## [3191] 0.0802112024 -0.0089380132 0.0329965052 0.7923952613 0.3225042739
## [3196] -0.0862876589 -0.3990042386 0.3441670036 0.0480732442 0.0029642834
## [3201] -0.7675111505 -0.0152179733 -1.3922551881 0.9252448946 -0.3618423475
## [3206] -0.8270695014 0.7792389964 -1.9150407842 -2.3414991394 0.7952145418
## [3211] 1.4458689882 -0.4254412124 -1.5775466027 0.8240905194 0.5942122338
## [3216] 1.0586745366 -0.1334259711 1.0237116503 -0.2050078183 0.3025509659
## [3221] -0.4579976610 0.8391868358 -0.4422742365 0.3689579391 0.2617637008
## [3226] 0.5844491856 0.8230137897 -0.1232892357 0.5062437376 -0.4856330691
## [3231] 1.5864448989 0.5394841608 -0.1785346800 0.1109718151 0.4514069515
## [3236] 0.4354142353 -0.3434438985 0.2815304987 0.1319263093 0.1601057149
## [3241] 1.5072421131 0.0875240355 -0.1071863310 -0.7042605123 -0.2949195841
## [3246] 0.4149442451 1.4519443669 0.3807423729 0.7438234692 -0.7143703516
## [3251] -1.5389932127 -1.0493621957 0.9613333996 0.2244825947 1.4284346157
## [3256] -0.4537965095 -0.1634148875 0.4545758057 1.3804373796 0.0107693191
## [3261] 1.1137187220 0.0502949894 -0.0682960181 0.7368123865 0.8190471396
## [3266] 0.1428002201 -0.0336372377 0.9162056825 0.0059374490 -1.0528595509
## [3271] 0.5111011224 1.4779172306 -1.1256996147 0.5361618117 -0.4389498969
## [3276] 0.7906913608 1.0710292853 -0.4447237530 1.1180546395 -0.2332777088
## [3281] 0.3009311515 1.3952109814 0.5895841286 -0.4157162837 0.0468529273
## [3286] 0.1934226302 -1.6013046339 -2.4547659983 1.1626413090 -0.0974416565
## [3291] 0.3761023528 -2.2651002432 0.7196206987 1.5274180679 1.0479373533
## [3296] 0.3080018870 -0.5372332753 0.7607802100 0.1803128487 0.7365528529
## [3301] -0.1912053547 0.2299078581 -0.3871307643 0.6519908845 -0.5436652091
## [3306] -1.5529117074 -4.4839867898 -2.0793927448 -0.2110243439 -2.7293745873
## [3311] -0.3608058088 2.1172451040 -1.0994838908 1.5831093557 -1.2061400979
## [3316] -0.5870753698 -2.8609137728 1.2288152556 -1.2432879863 -2.4089966672
## [3321] 1.6548272812 -2.1439073701 0.7988703486 -0.7580628954 0.0697923503
## [3326] -0.7201000720 -0.5060683071 1.6336737648 0.1890783490 1.0881908518
## [3331] -0.6137910218 0.6257010826 -0.3242436002 -0.9826138128 0.4973291058
## [3336] -0.3597864364 1.7331971914 -0.0363009739 0.8282239152 0.3676752774
## [3341] -0.2804736202 0.9026109477 -0.6830954963 0.1869092671 0.9278049968
## [3346] -0.6451549371 -1.1748445513 0.8389517215 -0.0205850638 0.5754533464
## [3351] 0.6452644552 -0.2446006573 1.3240037247 -0.4462354175 -1.4703751816
## [3356] 0.2038894299 0.4698271843 -0.3908210059 0.6856817500 1.0491681852
## [3361] 0.0083214095 -1.4074921774 -1.1239234002 0.7205383892 0.2566386076
## [3366] 2.1934762756 -0.6000036704 0.9927156640 -0.4719569891 0.1517107292
## [3371] 0.8544373453