Espacio Estado Co2

#Información de la Serie:

• Registro de la serie de tiempo más larga de concentración de CO2 en la atmosfera desde marzo de 1958 hasta agosto del 2025
• Numero de obsrvaciones: 810
• Frecuencia: 12 (Mensual)
• Valor minimo: 312.42 ppm
• Valor maximo: 430.51 ppm
• Tendencia clara de aumento: De 315.7 a 425.5 ppm

# Cargar librerías necesarias
library(ggplot2)
library(KFAS)

## Please cite KFAS in publications by using: 
## 
##   Jouni Helske (2017). KFAS: Exponential Family State Space Models in R. Journal of Statistical Software, 78(10), 1-39. doi:10.18637/jss.v078.i10.

library(dplyr)

## 
## Adjuntando el paquete: 'dplyr'

## The following objects are masked from 'package:stats':
## 
##     filter, lag

## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union

library(tidyr)
library(forecast)

## Registered S3 method overwritten by 'quantmod':
##   method            from
##   as.zoo.data.frame zoo

library(zoo)

## 
## Adjuntando el paquete: 'zoo'

## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric

library(lubridate)

## 
## Adjuntando el paquete: 'lubridate'

## The following objects are masked from 'package:base':
## 
##     date, intersect, setdiff, union

#lectura de datos:
datos_co2 = read.csv2("C:/Users/maria/OneDrive/Escritorio/SERIES/co.csv", header = TRUE, fileEncoding = "UTF-8")

str(datos_co2)

## 'data.frame':    810 obs. of  3 variables:
##  $ ano     : int  1958 1958 1958 1958 1958 1958 1958 1958 1958 1958 ...
##  $ mes     : int  3 4 5 6 7 8 9 10 11 12 ...
##  $ promedio: num  316 317 318 317 316 ...

head(datos_co2)

# Crear una fecha completa
datos_co2 <- datos_co2 %>%
  mutate(
    fecha = as.Date(paste(ano, mes, "01", sep = "-")),
    co2 = promedio
  ) %>%
  arrange(fecha)

# Verificar datos
summary(datos_co2$co2)

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   312.4   330.8   355.8   360.4   386.3   430.5

# Crear serie de tiempo mensual
serie_co2 <- ts(
  datos_co2$co2,
  start = c(1958, 3),  # Marzo 1958
  frequency = 12
)

#Analisis de Estacionalidad

• Aumento de 115 ppm en 67 años

• Ciclo estacional marcado: 5 - 8 ppm de diferencia entre primaver y otoño

• La pendiente parece aumentar con el tiempo

El ruido/varianza parece relativamente constante

El CO2 presenta un ciclo anual debido a:

• Actividad fotosintética: Las plantas absorben más CO₂ en verano

• Descomposición: Liberación de CO₂ en otoño/invierno

• Quema de combustibles: Mayor en invierno (calefacción)

# Configurar área de gráficos
par(mfrow = c(2, 2), mar = c(4, 4, 3, 2))

# 1. Serie temporal completa
plot(serie_co2, 
     main = "Concentración de CO₂ Atmosférico (1958-2025)",
     ylab = "CO₂ (ppm)",
     xlab = "Año",
     col = "darkgreen",
     lwd = 1.5)
grid()

# 2. Serie desagregada por año (para ver estacionalidad)
plot(window(serie_co2, start = c(2015, 1), end = c(2025, 8)),
     main = "CO₂ Últimos 10 años (2015-2025)",
     ylab = "CO₂ (ppm)",
     xlab = "Tiempo",
     col = "blue",
     lwd = 2)

# 3. Histograma de la serie
hist(serie_co2,
     main = "Distribución de Concentraciones de CO₂",
     xlab = "CO₂ (ppm)",
     ylab = "Frecuencia",
     col = "lightgreen",
     breaks = 30,
     probability = TRUE)
lines(density(serie_co2, na.rm = TRUE), col = "red", lwd = 2)

# 4. Boxplot por mes (estacionalidad)
meses <- factor(month(datos_co2$fecha), 
                levels = 1:12,
                labels = month.abb)
boxplot(datos_co2$co2 ~ meses,
        main = "CO₂ por Mes (Estacionalidad)",
        ylab = "CO₂ (ppm)",
        xlab = "Mes",
        col = rainbow(12, alpha = 0.5),
        las = 2)

par(mfrow = c(1, 1))

# Análisis de crecimiento anual
datos_co2_anual <- datos_co2 %>%
  group_by(ano) %>%
  summarise(
    co2_promedio = mean(co2, na.rm = TRUE),
    co2_max = max(co2, na.rm = TRUE),
    co2_min = min(co2, na.rm = TRUE)
  )

#Análisis de Estacionalidad

La descomposición STL de la serie de concentración de CO₂ revela una tendencia creciente de largo plazo junto con una estacionalidad anual fuerte y estable. El componente residual no presenta estructura sistemática, indicando que los principales patrones temporales han sido capturados adecuadamente.

# Descomposición estacional usando STL (más robusto para series largas)
descomposicion_stl <- stl(serie_co2, s.window = "periodic")

# Graficar descomposición
plot(descomposicion_stl, 
     main = "Descomposición STL del CO₂",
     col = "darkblue",
     col.range = "lightgray")

# Componentes individuales
tendencia <- descomposicion_stl$time.series[, "trend"]
estacional <- descomposicion_stl$time.series[, "seasonal"]
irregular <- descomposicion_stl$time.series[, "remainder"]

# Patrón estacional promedio
patron_estacional_mensual <- aggregate(estacional, 
                                       by = list(mes = cycle(serie_co2)), 
                                       FUN = mean)

#Transformacion y Preparacion para el Modelo -Dado que el ACF decrece lentamente, entonces la serie es no estacionaria. -PACF con un gran pico en lag 1 indica un proceso l(1) -Alta persisitencia es decir tendencia dominante

Dado e los modelos de espacio -estado no requieren que la serie sea estacionaria. entonces se usará la serie original para luego modelar la tendencia como un componente separado.

# Análisis de autocorrelación
par(mfrow = c(1, 2))
acf(serie_co2, 
    main = "Función de Autocorrelación (ACF) del CO₂",
    lag.max = 48)
pacf(serie_co2, 
     main = "Función de Autocorrelación Parcial (PACF)",
     lag.max = 48)

par(mfrow = c(1, 1))

# Para series con tendencia y estacionalidad, usamos diferenciación estacional
serie_co2_diff <- diff(serie_co2, lag = 12)  # Diferenciación anual
serie_co2_diff2 <- diff(serie_co2_diff)      # Diferenciación adicional

# Verificar estacionariedad después de transformación
cat("\n=== PRUEBAS DE ESTACIONARIEDAD ===\n")

## 
## === PRUEBAS DE ESTACIONARIEDAD ===

# Test de Dickey-Fuller aumentado
library(tseries)
adf_test_original <- adf.test(serie_co2, alternative = "stationary")

## Warning in adf.test(serie_co2, alternative = "stationary"): p-value greater
## than printed p-value

adf_test_diff <- adf.test(na.omit(serie_co2_diff), alternative = "stationary")

## Warning in adf.test(na.omit(serie_co2_diff), alternative = "stationary"):
## p-value smaller than printed p-value

cat("Test ADF para serie original:\n")

## Test ADF para serie original:

cat("  p-value:", round(adf_test_original$p.value, 4), "\n")

##   p-value: 0.99

cat("  Estacionaria?:", ifelse(adf_test_original$p.value < 0.05, "Sí", "No"), "\n\n")

##   Estacionaria?: No

cat("Test ADF para serie diferenciada (lag 12):\n")

## Test ADF para serie diferenciada (lag 12):

cat("  p-value:", round(adf_test_diff$p.value, 4), "\n")

##   p-value: 0.01

cat("  Estacionaria?:", ifelse(adf_test_diff$p.value < 0.05, "Sí", "No"), "\n")

##   Estacionaria?: Sí

# Seleccionar serie para modelar
# Usaremos la serie original para el modelo de espacio-estado
# ya que el modelo puede manejar tendencia y estacionalidad explícitamente
serie_modelar <- serie_co2

cat("\nSe usará la serie original para el modelo de espacio-estado.\n")

## 
## Se usará la serie original para el modelo de espacio-estado.

Especificación del Modelo de Espacio-Estado

El modelo especificado para la concentración de CO₂ atmosférico comprende tres componentes principales:

##componente de tendencia (nivel local con pendiente)

• level_t: Representa el nivel subyacente del CO₂ en el tiempo t

• slope_t: Representa la tasa de crecimiento instantánea

Ecuaciones de estado:

\[ \begin{cases} \text{level}_t = \text{level}_{t-1} + \text{slope}_{t-1} + \eta_{1,t} \\ \text{slope}_t = \text{slope}_{t-1} + \eta_{2,t} \end{cases} \] donde: \[ \eta_{1,t} \sim N(0, \sigma^2_{\text{nivel}}) \quad \text{y} \quad \eta_{2,t} \sim N(0, \sigma^2_{\text{pendiente}}) \]

Ecuacion de estado:

\[ sea \_dummy1}_t = - \sum_{i=1}^{11 sea \_dummy}_i{}_{t-1} + \eta_{3,t \]

Ecuación de observación:

\[ CO_2{}_t = \text{level}_t + \sum (\text{componentes estacionales}_t) + \varepsilon_t \]

# Para series de CO₂, un buen modelo incluye:
# 1. Tendencia suave (nivel + pendiente)
# 2. Componente estacional
# 3. Componente irregular

modelo_co2 <- SSModel(
  serie_modelar ~ 
    SSMtrend(degree = 2, Q = list(NA, NA)) +  # Tendencia con nivel y pendiente
    SSMseasonal(period = 12, Q = NA),         # Estacionalidad mensual
  H = NA  # Varianza del error de observación
)

cat("=== ESPECIFICACIÓN DEL MODELO ===\n")

## === ESPECIFICACIÓN DEL MODELO ===

cat("Modelo: Nivel Local con Tendencia Lineal y Estacionalidad Mensual\n")

## Modelo: Nivel Local con Tendencia Lineal y Estacionalidad Mensual

cat("Componentes:\n")

## Componentes:

cat("  1. Tendencia (nivel + pendiente)\n")

##   1. Tendencia (nivel + pendiente)

cat("  2. Estacionalidad (período = 12 meses)\n")

##   2. Estacionalidad (período = 12 meses)

cat("  3. Error de observación\n")

##   3. Error de observación

print(modelo_co2$P1inf)  # Mostrar estructura inicial

##             level slope sea_dummy1 sea_dummy2 sea_dummy3 sea_dummy4 sea_dummy5
## level           1     0          0          0          0          0          0
## slope           0     1          0          0          0          0          0
## sea_dummy1      0     0          1          0          0          0          0
## sea_dummy2      0     0          0          1          0          0          0
## sea_dummy3      0     0          0          0          1          0          0
## sea_dummy4      0     0          0          0          0          1          0
## sea_dummy5      0     0          0          0          0          0          1
## sea_dummy6      0     0          0          0          0          0          0
## sea_dummy7      0     0          0          0          0          0          0
## sea_dummy8      0     0          0          0          0          0          0
## sea_dummy9      0     0          0          0          0          0          0
## sea_dummy10     0     0          0          0          0          0          0
## sea_dummy11     0     0          0          0          0          0          0
##             sea_dummy6 sea_dummy7 sea_dummy8 sea_dummy9 sea_dummy10 sea_dummy11
## level                0          0          0          0           0           0
## slope                0          0          0          0           0           0
## sea_dummy1           0          0          0          0           0           0
## sea_dummy2           0          0          0          0           0           0
## sea_dummy3           0          0          0          0           0           0
## sea_dummy4           0          0          0          0           0           0
## sea_dummy5           0          0          0          0           0           0
## sea_dummy6           1          0          0          0           0           0
## sea_dummy7           0          1          0          0           0           0
## sea_dummy8           0          0          1          0           0           0
## sea_dummy9           0          0          0          1           0           0
## sea_dummy10          0          0          0          0           1           0
## sea_dummy11          0          0          0          0           0           1

Estimación por Máxima Verosimilitud

El modelo de espacio–estado fue estimado mediante máxima verosimilitud. Los resultados indican una evolución estocástica del nivel, una pendiente prácticamente determinística, una estacionalidad mensual de baja variabilidad y un error de observación moderado. La estructura estimada es coherente con la dinámica conocida de las concentraciones atmosféricas de CO₂.

# ==============================
# ESTIMACIÓN POR MÁXIMA VEROSIMILITUD
# ==============================

# Varianza de referencia para inicialización
var_diff <- var(diff(serie_modelar), na.rm = TRUE)

# Valores iniciales (en escala log)
# Orden: nivel, pendiente, estacionalidad, observación
inits <- log(c(
  var_diff * 0.1,   # sigma2 nivel
  var_diff * 0.01,  # sigma2 pendiente
  var_diff * 0.1,   # sigma2 estacional
  var_diff * 0.2    # sigma2 observación
))

# Ajuste del modelo
fit_mle <- fitSSM(
  modelo_co2,
  inits = inits,
  method = "BFGS"
)

# Extraer parámetros estimados
param_mle <- exp(fit_mle$optim.out$par)

cat("\n=== PARÁMETROS ESTIMADOS (MLE) ===\n")

## 
## === PARÁMETROS ESTIMADOS (MLE) ===

cat("sigma2_nivel:        ", param_mle[1], "\n")

## sigma2_nivel:         0.03934488

cat("sigma2_pendiente:    ", param_mle[2], "\n")

## sigma2_pendiente:     6.475086e-06

cat("sigma2_estacional:   ", param_mle[3], "\n")

## sigma2_estacional:    0.001095025

cat("sigma2_observacion:  ", param_mle[4], "\n")

## sigma2_observacion:   0.02964495

# Log-verosimilitud (forma segura)
logLik_mle <- -fit_mle$optim.out$value
cat("\nLog-verosimilitud:", logLik_mle, "\n")

## 
## Log-verosimilitud: -259.0501

Filtro de Kalman y Suavizado

Una vez estimado el modelo por máxima verosimilitud, se aplicó el filtro y el suavizado de Kalman para obtener estimaciones de los estados no observados. El nivel suavizado muestra un crecimiento sostenido de largo plazo, la pendiente presenta una dinámica prácticamente constante y la estacionalidad mensual mantiene un patrón estable en el tiempo

# Aplicar filtro y suavizado de Kalman
kalman_out <- KFS(
  fit_mle$model,
  filtering = "state",
  smoothing = "state"
)
kalman_out$a

##             level       slope    sea_dummy1    sea_dummy2    sea_dummy3
## Mar 1958   0.0000  0.00000000  0.000000e+00   0.000000000   0.000000000
## Apr 1958 157.8550  0.00000000 -1.578550e+02 157.855000000   0.000000000
## May 1958 231.1127 24.41923077 -2.441923e+01 110.756538462 133.435769231
## Jun 1958 381.1240 63.82066667 -2.113578e+01   0.206666667  63.967333333
## Jul 1958 408.8160 54.27723404 -2.193106e+01 -37.268723404  17.248510638
## Aug 1958 413.8176 43.02397359 -2.286884e+01 -54.923577431 -10.499603842
## Sep 1958 411.7672 33.98085502 -2.362243e+01 -62.856375465 -27.935520446
## Oct 1958 406.8745 27.04196072 -2.420067e+01 -66.622546475 -37.860585759
## Nov 1958 401.5100 21.84018723 -2.463415e+01 -67.249829787 -44.619642553
## Dec 1958 396.9658 17.99679199 -2.495443e+01 -65.639023294 -48.552231304
## Jan 1959 393.3225 15.11353070 -2.519471e+01 -63.538946985 -49.765416287
## Feb 1959 390.2654 12.88409054 -2.538049e+01 -61.801317002 -49.827226466
## Mar 1959 387.7118 11.12951299  6.155232e+01 -60.092321429 -49.872808442
## Apr 1959 315.9575  0.07833333  2.432500e+00   0.770833333   0.689166667
## May 1959 315.6799  0.05028902  2.309062e+00   2.187790450   0.844000701
## Jun 1959 315.8933  0.05993358  2.049494e+00   2.408172913   2.141690871
## Jul 1959 316.0667  0.06597286  6.131591e-01   2.115557209   2.373657024
## Aug 1959 316.0559  0.06202398 -4.060044e-01   0.568942846   2.139351030
## Sep 1959 315.6509  0.03826896 -2.276690e+00  -0.674211492   0.714254851
## Oct 1959 315.9451  0.05124951 -3.062406e+00  -2.129739690  -0.753925739
## Nov 1959 316.2421  0.06370774 -2.154797e+00  -2.921281128  -2.206301732
## Dec 1959 316.7029  0.08383790 -8.010531e-01  -1.926788655  -3.044979747
## Jan 1960 316.6099  0.07487062 -3.325953e-03  -0.902590331  -1.871697812
## Feb 1960 316.5877  0.06994966  8.118920e-01  -0.059026833  -0.872363850
## Mar 1960 316.4271  0.05825172  7.769592e-01   0.679522382   0.012818195
## Apr 1960 316.7079  0.07073319  2.158279e+00   0.879926746   0.606519856
## May 1960 316.8727  0.07455881  2.428223e+00   2.197804104   0.863271924
## Jun 1960 317.3697  0.08934723  2.212203e+00   2.594255466   2.112834921
## Jul 1960 317.4579  0.08931055  6.286111e-01   2.211778314   2.594485243
## Aug 1960 317.6016  0.09109218 -8.068958e-01   0.649469746   2.200340778
## Sep 1960 317.1718  0.07410464 -2.279486e+00  -1.006461065   0.759196131
## Oct 1960 316.8254  0.06040020 -3.064060e+00  -2.440591942  -0.917853841
## Nov 1960 316.9258  0.06170275 -1.924034e+00  -3.048751848  -2.449010775
## Dec 1960 316.9865  0.06166958 -9.408278e-01  -1.924423692  -3.048537580
## Jan 1961 317.1322  0.06441249 -1.076466e-01  -0.908636630  -1.942132306
## Feb 1961 317.1183  0.06185460  5.434034e-01  -0.137643012  -0.892129531
## Mar 1961 317.2024  0.06258509  8.442095e-01   0.551943934  -0.142351560
## Apr 1961 317.5608  0.07297962  2.215673e+00   0.945577396   0.487019679
## May 1961 317.4581  0.06797960  2.703517e+00   2.159136415   0.972680742
## Jun 1961 317.7751  0.07440286  2.352679e+00   2.780264749   2.117888846
## Jul 1961 317.6361  0.06907406  8.215283e-01   2.287717562   2.816412271
## Aug 1961 317.7663  0.07058464 -9.289296e-01   0.840063891   2.277322724
## Sep 1961 317.8086  0.06988716 -2.463093e+00  -0.937501847   0.844877224
## Oct 1961 317.6664  0.06464863 -3.085703e+00  -2.527467693  -0.901357268
## Nov 1961 318.1662  0.07540349 -1.941951e+00  -2.953637904  -2.601609691
## Dec 1961 318.1675  0.07356961 -9.121991e-01  -1.964449240  -2.941006629
## Jan 1962 318.0947  0.06994655 -1.805811e-01  -0.956600827  -1.939513265
## Feb 1962 318.1801  0.07032968  4.966419e-01  -0.175891205  -0.959236009
## Mar 1962 318.1747  0.06844911  9.548756e-01   0.473735934  -0.162982282
## Apr 1962 318.5764  0.07714415  2.154290e+00   1.049684151   0.415288026
## May 1962 318.5569  0.07496033  2.825175e+00   2.127818331   1.063389684
## Jun 1962 318.4134  0.07036379  2.276142e+00   2.767175574   2.160158206
## Jul 1962 318.4418  0.06949986  8.323995e-01   2.265083294   2.773493147
## Aug 1962 318.7142  0.07364733 -9.337187e-01   0.885715489   2.234472985
## Sep 1962 318.5579  0.06895253 -2.589699e+00  -0.994109907   0.920404851
## Oct 1962 318.7911  0.07230809 -2.932159e+00  -2.546560130  -1.018882989
## Nov 1962 318.5982  0.06688266 -1.956648e+00  -3.001837087  -2.506552624
## Dec 1962 318.6944  0.06748228 -9.772260e-01  -1.948956461  -3.006253999
## Jan 1963 318.7515  0.06727013 -1.883679e-01  -0.979944124  -1.947395158
## Feb 1963 318.9257  0.06946381  4.403771e-01  -0.160305057  -0.996074432
## Mar 1963 318.8161  0.06577599  1.076984e+00   0.393486564  -0.133255963
## Apr 1963 318.8617  0.06534687  2.154055e+00   1.071889469   0.396590991
## May 1963 319.1480  0.06959801  2.774142e+00   2.208615627   1.042092797
## Jun 1963 319.4108  0.07312272  2.267947e+00   2.820769961   2.181832706
## Jul 1963 319.3691  0.07106374  9.333099e-01   2.240413570   2.836872759
## Aug 1963 319.0980  0.06495288 -1.003697e+00   0.851358287   2.288504564
## Sep 1963 318.9656  0.06142995 -2.528095e+00  -1.050946119   0.879086440
## Oct 1963 318.8886  0.05895579 -3.030332e+00  -2.561249141  -1.031496277
## Nov 1963 319.0277  0.06038997 -1.967776e+00  -3.011135774  -2.572508297
## Dec 1963 319.0942  0.06049967 -9.975919e-01  -1.966309984  -3.011995903
## Jan 1964 319.3089  0.06326473 -1.409358e-01  -0.960680757  -1.987969446
## Feb 1964 319.6169  0.06765856  4.008011e-01  -0.082388586  -0.995062897
## Mar 1964 319.6981  0.06790396  1.073100e+00   0.404049875  -0.084303729
## Apr 1964 319.7530  0.06766506  2.229723e+00   1.070067686   0.405898032
## May 1964 319.7337  0.06617198  2.876817e+00   2.209648565   1.081468209
## Jun 1964 319.5797  0.06254701  2.296761e+00   2.826938674   2.238995781
## Jul 1964 319.6505  0.06268102  8.656404e-01   2.298619932   2.825829354
## Aug 1964 319.6667  0.06192687 -1.058404e+00   0.855156325   2.304890399
## Sep 1964 319.7785  0.06273631 -2.595525e+00  -1.047154069   0.848429309
## Oct 1964 319.5523  0.05804667 -3.039191e+00  -2.660636909  -1.008235729
## Nov 1964 319.8284  0.06158994 -2.006010e+00  -2.990056812  -2.689999528
## Dec 1964 319.8030  0.06017469 -9.863406e-01  -2.025608583  -2.978343448
## Jan 1965 319.7980  0.05911346 -7.246017e-02  -1.001015641  -2.016834631
## Feb 1965 319.6826  0.05626745  4.178938e-01  -0.111736015  -0.977512994
## Mar 1965 319.9465  0.05966706  1.092307e+00   0.464513369  -0.139737669
## Apr 1965 319.9150  0.05815409  2.244123e+00   1.072083839   0.476908762
## May 1965 319.9614  0.05796998  2.831965e+00   2.241554937   1.073585979
## Jun 1965 319.6377  0.05213305  2.307233e+00   2.749084798   2.291272647
## Jul 1965 319.6439  0.05143855  8.488063e-01   2.297308230   2.755105727
## Aug 1965 320.1348  0.05807299 -1.019546e+00   0.943753324   2.239608614
## Sep 1965 320.0426  0.05580308 -2.672529e+00  -1.052015857   0.963478319
## Oct 1965 320.3741  0.05997186 -2.965061e+00  -2.612959949  -1.088186224
## Nov 1965 320.3673  0.05896061 -1.998955e+00  -2.979493228  -2.604198605
## Dec 1965 320.7336  0.06362096 -9.716805e-01  -1.932534485  -3.019819702
## Jan 1966 320.5877  0.06044085 -1.159580e-01  -1.016937274  -1.905046544
## Feb 1966 320.7390  0.06182195  4.869709e-01  -0.096345561  -1.028860478
## Mar 1966 321.0301  0.06532117  1.084283e+00   0.536373162  -0.126484832
## Apr 1966 321.2646  0.06792394  2.283413e+00   1.120474657   0.514024843
## May 1966 321.4257  0.06930632  2.739346e+00   2.303252422   1.108606715
## Jun 1966 321.4428  0.06855067  2.243028e+00   2.728353361   2.309950326
## Jul 1966 321.5507  0.06911601  9.484380e-01   2.251293786   2.723270865
## Aug 1966 321.5406  0.06797905 -1.093683e+00   0.931797606   2.261539653
## Sep 1966 321.5552  0.06721379 -2.622912e+00  -1.104877438   0.938686940
## Oct 1966 321.4430  0.06463632 -3.026749e+00  -2.660575082  -1.081709330
## Nov 1966 321.3136  0.06184402 -1.931768e+00  -3.067501262  -2.635511603
## Dec 1966 321.6198  0.06536385 -1.058162e+00  -1.880464842  -3.099056871
## Jan 1967 321.9665  0.06942030 -1.361887e-01  -0.999124340  -1.916792358
## Feb 1967 322.3427  0.07385002  5.222300e-01  -0.071858987  -1.038746540
## Mar 1967 322.1924  0.07060334  1.129732e+00   0.475323021  -0.042875621
## Apr 1967 322.0835  0.06798950  2.319974e+00   1.092296155   0.498617342
## May 1967 322.1555  0.06804638  2.728829e+00   2.320807636   1.091788524
## Jun 1967 322.2946  0.06903573  2.262313e+00   2.743484985   2.311765409
## Jul 1967 322.0767  0.06506868  9.400803e-01   2.203317019   2.780160805
## Aug 1967 321.8488  0.06102208 -1.096023e+00   0.879855086   2.240797870
## Sep 1967 322.0126  0.06244242 -2.669758e+00  -1.074896133   0.866713487
## Oct 1967 322.0180  0.06165321 -3.117821e+00  -2.681484724  -1.067605018
## Nov 1967 322.3806  0.06582304 -1.922619e+00  -3.055932215  -2.719955416
## Dec 1967 322.6136  0.06814090 -1.015474e+00  -1.888259852  -3.077292272
## Jan 1968 322.9041  0.07122861 -2.216634e-02  -0.969767734  -1.916685021
## Feb 1968 322.7836  0.06856229  5.181495e-01  -0.061550448  -0.945250071
## Mar 1968 322.7589  0.06726121  1.104352e+00   0.499015906  -0.049605554
## Apr 1968 322.8426  0.06749146  2.324946e+00   1.107722446   0.496903845
## May 1968 322.8194  0.06624730  2.782161e+00   2.306416596   1.119155456
## Jun 1968 322.8662  0.06598470  2.224323e+00   2.778219516   2.308873130
## Jul 1968 323.0979  0.06821341  8.510898e-01   2.257875925   2.757174339
## Aug 1968 323.2836  0.06979168 -1.085243e+00   0.874864258   2.242950386
## Sep 1968 323.2991  0.06906078 -2.722573e+00  -1.096247165   0.881768959
## Oct 1968 323.2165  0.06702012 -3.074908e+00  -2.753267212  -1.076996657
## Nov 1968 323.3502  0.06791851 -1.908157e+00  -3.061409223  -2.761731346
## Dec 1968 323.3431  0.06690588 -9.414482e-01  -1.923354172  -3.051879044
## Jan 1969 323.7104  0.07096274 -5.496380e-02  -0.880647053  -1.961497983
## Feb 1969 323.9933  0.07382946  4.994086e-01  -0.012086816  -0.907572515
## Mar 1969 324.0162  0.07313942  1.123263e+00   0.489126002  -0.005613702
## Apr 1969 324.3913  0.07723637  2.303753e+00   1.184172415   0.450707476
## May 1969 324.4470  0.07694804  2.763640e+00   2.299410281   1.186880694
## Jun 1969 324.6281  0.07832815  2.248944e+00   2.784548002   2.286271492
## Jul 1969 324.6036  0.07697271  8.865636e-01   2.228362878   2.797550843
## Aug 1969 324.9205  0.08013264 -1.089834e+00   0.934565282   2.198011764
## Sep 1969 324.8956  0.07874800 -2.767845e+00  -1.110857826   0.947851463
## Oct 1969 325.1296  0.08079610 -3.073275e+00  -2.736774646  -1.130483971
## Nov 1969 325.0403  0.07855022 -1.969992e+00  -3.107312048  -2.715278551
## Dec 1969 324.9833  0.07675773 -9.136298e-01  -1.997129282  -3.090172272
## Jan 1970 325.0849  0.07708653 -2.269906e-02  -0.908658450  -2.000270462
## Feb 1970 325.1606  0.07706886  4.459786e-01  -0.022965770  -0.908489767
## Mar 1970 325.4738  0.08020213  1.177798e+00   0.493119822  -0.052844191
## Apr 1970 325.7254  0.08247892  2.287245e+00   1.212022619   0.471411411
## May 1970 325.8801  0.08342839  2.796552e+00   2.301656041   1.202957208
## Jun 1970 325.5962  0.07863968  2.213341e+00   2.723549158   2.347843736
## Jul 1970 325.5889  0.07752372  9.464341e-01   2.196299609   2.734380192
## Aug 1970 325.5461  0.07596233 -1.126542e+00   0.922582131   2.211469777
## Sep 1970 325.7825  0.07804508 -2.722657e+00  -1.094738991   0.902365044
## Oct 1970 325.8853  0.07836683 -3.098058e+00  -2.717747377  -1.097858383
## Nov 1970 326.1316  0.08055250 -2.008485e+00  -3.064738585  -2.738914823
## Dec 1970 326.1425  0.07964523 -9.124486e-01  -2.022302708  -3.055959830
## Jan 1971 326.1605  0.07884212 -5.048266e-02  -0.924665121  -2.014538023
## Feb 1971 326.2763  0.07932399  4.775012e-01  -0.043165286  -0.929320303
## Mar 1971 326.3163  0.07881040  1.217175e+00   0.469721506  -0.038207013
## Apr 1971 326.1774  0.07596458  2.352157e+00   1.174070657   0.497195226
## May 1971 325.7917  0.06997680  2.737275e+00   2.260805423   1.231938407
## Jun 1971 326.1087  0.07315984  2.190662e+00   2.785997266   2.229806720
## Jul 1971 326.3486  0.07530212  8.934151e-01   2.223494077   2.765027108
## Aug 1971 326.4966  0.07623559 -1.100547e+00   0.907725237   2.214348245
## Sep 1971 326.5938  0.07650433 -2.730340e+00  -1.096428685   0.905094349
## Oct 1971 326.3601  0.07251617 -3.041356e+00  -2.791416960  -1.057429435
## Nov 1971 326.5813  0.07442897 -2.013398e+00  -3.012085209  -2.810103598
## Dec 1971 326.7987  0.07627101 -9.234494e-01  -1.985235282  -3.030066072
## Jan 1972 326.9580  0.07734110 -2.724750e-02  -0.907106954  -1.995673325
## Feb 1972 326.9363  0.07606298  5.093603e-01  -0.046736635  -0.894647930
## Mar 1972 327.1260  0.07753062  1.219568e+00   0.531694775  -0.061036550
## Apr 1972 326.8365  0.07279066  2.232486e+00   1.147410740   0.577879587
## May 1972 327.3104  0.07794280  2.753248e+00   2.311346739   1.097171107
## Jun 1972 327.3922  0.07799300  2.216860e+00   2.754018456   2.310854389
## Jul 1972 327.1503  0.07391412  9.179500e-01   2.154217270   2.794193182
## Aug 1972 327.2068  0.07369226 -1.066879e+00   0.914541988   2.156404200
## Sep 1972 327.3915  0.07510723 -2.819449e+00  -1.045149562   0.900604361
## Oct 1972 327.6317  0.07721420 -3.034634e+00  -2.787110666  -1.065882827
## Nov 1972 328.0805  0.08195797 -1.997694e+00  -2.961877584  -2.833750039
## Dec 1972 328.4196  0.08524265 -8.941318e-01  -1.947356249  -2.994148417
## Jan 1973 328.5200  0.08543591 -4.637606e-02  -0.891173143  -1.949253715
## Feb 1973 328.6525  0.08603861  5.726608e-01  -0.037161683  -0.897087637
## Mar 1973 328.9511  0.08876135  1.098791e+00   0.614220280  -0.063872292
## Apr 1973 329.1941  0.09073517  2.315937e+00   1.128936577   0.594856252
## May 1973 329.2786  0.09065661  2.789680e+00   2.314732031   1.129707726
## Jun 1973 329.6231  0.09387991  2.139818e+00   2.839201049   2.282952863
## Jul 1973 329.9063  0.09628015  8.845685e-01   2.176717213   2.815454715
## Aug 1973 330.0514  0.09689844 -1.080524e+00   0.894075088   2.170595933
## Sep 1973 330.3574  0.09954913 -2.846352e+00  -1.039777712   0.867849271
## Oct 1973 330.4625  0.09961939 -2.996385e+00  -2.845272080  -1.040472216
## Nov 1973 330.3919  0.09745918 -1.951967e+00  -3.029556130  -2.823934736
## Dec 1973 330.3229  0.09534589 -9.066831e-01  -1.984393966  -3.008695524
## Jan 1974 329.9458  0.08934217 -6.695092e-02  -0.998722293  -1.925162349
## Feb 1974 329.7152  0.08527320  5.869754e-01  -0.129252851  -0.958595674
## Mar 1974 330.0520  0.08847357  1.103337e+00   0.635915342  -0.160807669
## Apr 1974 330.3468  0.09109908  2.267745e+00   1.143512383   0.610028478
## May 1974 330.4598  0.09137606  2.814913e+00   2.271996561   1.140780432
## Jun 1974 330.4989  0.09071581  2.174166e+00   2.804765054   2.278530722
## Jul 1974 330.2979  0.08703257  8.851788e-01   2.117529907   2.841319922
## Aug 1974 330.3152  0.08615255 -1.026571e+00   0.871645503   2.126269218
## Sep 1974 330.3159  0.08507335 -2.811860e+00  -1.043165040   0.882356991
## Oct 1974 330.2936  0.08371806 -2.994519e+00  -2.832690703  -1.029723853
## Nov 1974 330.3656  0.08356914 -1.923722e+00  -2.996806785  -2.831214803
## Dec 1974 330.3678  0.08254108 -9.676365e-01  -1.939504118  -2.986623838
## Jan 1975 330.5613  0.08394407 -1.678149e-01  -0.946115675  -1.953394460
## Feb 1975 330.8528  0.08657192  6.100566e-01  -0.127549564  -0.972124154
## Mar 1975 330.9376  0.08654974  1.150953e+00   0.609717073  -0.127330045
## Apr 1975 330.9325  0.08538957  2.294148e+00   1.133183043   0.621198118
## May 1975 330.9460  0.08448062  2.848060e+00   2.280191964   1.142179644
## Jun 1975 331.1266  0.08569303  2.127246e+00   2.866693166   2.268160607
## Jul 1975 331.3148  0.08698270  8.822914e-01   2.147071633   2.853865096
## Aug 1975 331.2617  0.08522000 -1.026629e+00   0.855191930   2.164614625
## Sep 1975 331.1711  0.08300674 -2.828268e+00  -1.060650622   0.877208531
## Oct 1975 331.3449  0.08415002 -2.995940e+00  -2.810699644  -1.072015531
## Nov 1975 331.4359  0.08423600 -1.959565e+00  -2.994619651  -2.811553821
## Dec 1975 331.4607  0.08348742 -9.697342e-01  -1.971056663  -2.987186594
## Jan 1976 331.7225  0.08573579 -1.290182e-01  -0.935244550  -1.993373479
## Feb 1976 331.7876  0.08547534  6.239977e-01  -0.133009774  -0.932659940
## Mar 1976 332.0757  0.08803283  1.136513e+00   0.663160289  -0.158387419
## Apr 1976 332.2549  0.08918342  2.268230e+00   1.154142616   0.651743693
## May 1976 332.4779  0.09086843  2.858487e+00   2.294097032   1.137421884
## Jun 1976 332.1885  0.08608810  2.179545e+00   2.785054821   2.341627635
## Jul 1976 332.0290  0.08300372  8.785141e-01   2.132158352   2.815781996
## Aug 1976 332.2184  0.08433994 -1.079978e+00   0.899044084   2.118840050
## Sep 1976 332.0199  0.08078757 -2.809460e+00  -1.134551886   0.934436670
## Oct 1976 331.9462  0.07884619 -2.993652e+00  -2.839276799  -1.115221678
## Nov 1976 331.8816  0.07704305 -1.995159e+00  -3.021335508  -2.821332886
## Dec 1976 332.1274  0.07916553 -9.446063e-01  -1.962589507  -3.042448152
## Jan 1977 332.4763  0.08255881 -1.647864e-01  -0.892570828  -1.996332301
## Feb 1977 332.7862  0.08542007  6.524483e-01  -0.120945819  -0.921018204
## Mar 1977 332.7059  0.08333289  1.160615e+00   0.620488718  -0.100194736
## Apr 1977 333.4639  0.09182463  2.336350e+00   1.290717365   0.536068019
## May 1977 333.7654  0.09445889  2.817366e+00   2.376768081   1.264528679
## Jun 1977 334.0741  0.09714813  2.127797e+00   2.858647623   2.349991887
## Jul 1977 334.1516  0.09690137  9.420328e-01   2.124008457   2.861108500
## Aug 1977 334.1228  0.09532620 -1.111671e+00   0.917851596   2.139724068
## Sep 1977 333.9398  0.09183520 -2.826047e+00  -1.165259614   0.952669789
## Oct 1977 334.1404  0.09319977 -3.061705e+00  -2.805104774  -1.178861991
## Nov 1977 334.3578  0.09475864 -2.013370e+00  -3.037788541  -2.820636510
## Dec 1977 334.5239  0.09565374 -9.297303e-01  -1.999643080  -3.046703376
## Jan 1978 334.6231  0.09569908 -1.217276e-01  -0.929035274  -2.000094593
## Feb 1978 334.9895  0.09909905  5.235241e-01  -0.069656126  -0.962885105
## Mar 1978 334.9324  0.09713696  1.267049e+00   0.493489329  -0.050121310
## Apr 1978 335.3138  0.10070677  2.347002e+00   1.321722026   0.457950934
## May 1978 335.4325  0.10093305  2.867253e+00   2.350470946   1.319469506
## Jun 1978 335.3608  0.09876900  2.150170e+00   2.834061829   2.372039074
## Jul 1978 335.7676  0.10262685  9.389305e-01   2.209338471   2.795561531
## Aug 1978 335.7427  0.10103079 -1.180301e+00   0.914451535   2.225272937
## Sep 1978 335.7559  0.09992967 -2.822175e+00  -1.197188383   0.925441644
## Oct 1978 335.5017  0.09549376 -3.041705e+00  -2.890196417  -1.152935799
## Nov 1978 335.5910  0.09541624 -2.010119e+00  -3.042893100  -2.889423412
## Dec 1978 335.7970  0.09680182 -9.672080e-01  -1.988886270  -3.056705120
## Jan 1979 335.9433  0.09742278 -5.998504e-02  -0.957697573  -1.995074994
## Feb 1979 336.1992  0.09941018  4.547271e-01  -0.029565710  -0.977503377
## Mar 1979 336.3209  0.09968988  1.323931e+00   0.459006495  -0.032353199
## Apr 1979 336.8064  0.10453032  2.359102e+00   1.398022759   0.410771260
## May 1979 336.6977  0.10185736  2.810627e+00   2.318151185   1.424656600
## Jun 1979 336.6339  0.09978339  2.236488e+00   2.778845946   2.338835575
## Jul 1979 336.9742  0.10279299  9.265625e-01   2.282602393   2.748797301
## Aug 1979 336.8543  0.10000631 -1.149851e+00   0.883864276   2.310435140
## Sep 1979 336.9639  0.10012645 -2.896037e+00  -1.148010324   0.882664659
## Oct 1979 337.0036  0.09937024 -3.060359e+00  -2.907622309  -1.140462492
## Nov 1979 337.2862  0.10166364 -2.006641e+00  -3.025231930  -2.930504311
## Dec 1979 337.4128  0.10197664 -9.808371e-01  -2.001849160  -3.028353912
## Jan 1980 337.7481  0.10489999 -4.504449e-02  -0.936098419  -2.031003403
## Feb 1980 337.9746  0.10642316  4.161800e-01  -0.021746661  -0.951288411
## Mar 1980 338.0497  0.10603037  1.430713e+00   0.410173972  -0.017829329
## Apr 1980 338.5197  0.11059105  2.326155e+00   1.500475882   0.364695188
## May 1980 338.6822  0.11124166  2.754506e+00   2.336114351   1.493988719
## Jun 1980 338.8017  0.11134418  2.310421e+00   2.756075872   2.335091404
## Jul 1980 339.0661  0.11325863  8.777834e-01   2.339727150   2.736956144
## Aug 1980 338.8744  0.10944563 -1.138850e+00   0.819416595   2.377819868
## Sep 1980 338.9434  0.10893916 -2.934834e+00  -1.146602187   0.824475283
## Oct 1980 339.2014  0.11080381 -3.042754e+00  -2.906293760  -1.165219651
## Nov 1980 339.3007  0.11065991 -2.036889e+00  -3.044955693  -2.904857458
## Dec 1980 339.4337  0.11093963 -9.553887e-01  -2.032609629  -3.047746911
## Jan 1981 339.4284  0.10948431 -2.458782e-02  -0.977642886  -2.018089356
## Feb 1981 339.4676  0.10860463  3.652581e-01  -0.038033055  -0.968866079
## Mar 1981 340.0190  0.11414901  1.481448e+00   0.449978766  -0.093353973
## Apr 1981 340.2131  0.11515065  2.332835e+00   1.496758631   0.439985723
## May 1981 340.3616  0.11556818  2.745558e+00   2.339221154   1.492593568
## Jun 1981 340.4357  0.11504932  2.380315e+00   2.737622239   2.344399924
## Jul 1981 340.3803  0.11291843  8.261391e-01   2.347726558   2.758906892
## Aug 1981 340.2546  0.10993518 -1.159285e+00   0.780517037   2.377533517
## Sep 1981 339.9846  0.10518501 -2.897307e+00  -1.231928689   0.827969875
## Oct 1981 340.0050  0.10412469 -3.047801e+00  -2.913521482  -1.221339965
## Nov 1981 340.1664  0.10484100 -2.025523e+00  -3.036849531  -2.920672726
## Dec 1981 340.5424  0.10823226 -9.895249e-01  -1.973687599  -3.070698882
## Jan 1982 340.8711  0.11099129 -9.936047e-02  -0.947368720  -2.001223863
## Feb 1982 341.0798  0.11221397  4.418302e-01  -0.080686519  -0.959571749
## Mar 1982 341.3392  0.11405583  1.496638e+00   0.469955213  -0.099070297
## Apr 1982 341.4188  0.11362438  2.356319e+00   1.490047837   0.474261055
## May 1982 341.6466  0.11505237  2.766289e+00   2.378139772   1.475798507
## Jun 1982 341.9821  0.11780950  2.380824e+00   2.808421899   2.350615511
## Jul 1982 341.8017  0.11408195  8.360342e-01   2.323869291   2.845657558
## Aug 1982 341.7813  0.11240133 -1.223787e+00   0.810356213   2.340661872
## Sep 1982 341.6977  0.10995042 -2.926704e+00  -1.261234387   0.834841755
## Oct 1982 341.5600  0.10685550 -3.073369e+00  -2.973989227  -1.230323953
## Nov 1982 341.6196  0.10626365 -2.006525e+00  -3.082409979  -2.968079664
## Dec 1982 341.6190  0.10492766 -9.626328e-01  -2.026928639  -3.069072722
## Jan 1983 341.8003  0.10588262 -1.023409e-01  -0.948052969  -2.036461454
## Feb 1983 341.8272  0.10489457  4.737562e-01  -0.117420475  -0.938189493
## Mar 1983 342.2279  0.10859538  1.466744e+00   0.530228275  -0.154366443
## Apr 1983 342.1360  0.10608801  2.368204e+00   1.428473241   0.555256976
## May 1983 342.7952  0.11300430  2.837886e+00   2.473806246   1.359443699
## Jun 1983 343.2212  0.11691672  2.341437e+00   2.897623285   2.434744279
## Jul 1983 343.4600  0.11843955  8.411584e-01   2.364684750   2.882411033
## Aug 1983 343.5901  0.11858489 -1.226561e+00   0.843377123   2.363232532
## Sep 1983 343.7991  0.11971530 -2.967717e+00  -1.209303760   0.832083688
## Oct 1983 343.6895  0.11684891 -3.065325e+00  -3.011474162  -1.180674407
## Nov 1983 343.7482  0.11612211 -2.037518e+00  -3.076418526  -3.004216628
## Dec 1983 343.9133  0.11673452 -9.505969e-01  -2.028172627  -3.082532906
## Jan 1984 344.1766  0.11856672 -1.613848e-01  -0.922645104  -2.046464534
## Feb 1984 344.4154  0.12007108  5.341940e-01  -0.138441591  -0.937664762
## Mar 1984 344.5172  0.11984217  1.351704e+00   0.530703271  -0.136156018
## Apr 1984 344.5204  0.11838340  2.435907e+00   1.329453714   0.545266721
## May 1984 344.9004  0.12165428  2.875201e+00   2.485810474   1.296803652
## Jun 1984 345.0186  0.12161086  2.363264e+00   2.874538569   2.486243964
## Jul 1984 345.0032  0.11989876  8.419421e-01   2.337147305   2.891641187
## Aug 1984 345.0890  0.11947330 -1.179702e+00   0.835452437   2.341398185
## Sep 1984 345.1039  0.11816657 -3.004724e+00  -1.199634677   0.848506882
## Oct 1984 344.9076  0.11423693 -3.079067e+00  -3.064664847  -1.160385604
## Nov 1984 345.0413  0.11447958 -2.051344e+00  -3.075366276  -3.067087946
## Dec 1984 345.3534  0.11695013 -9.439999e-01  -2.013670874  -3.100033567
## Jan 1985 345.8351  0.12150935 -1.455135e-01  -0.874494478  -2.059191395
## Feb 1985 345.8272  0.11989111  5.447106e-01  -0.170176764  -0.858336662
## Mar 1985 345.9706  0.12018544  1.299746e+00   0.549195903  -0.173115695
## Apr 1985 346.4858  0.12512384  2.480765e+00   1.375018374   0.499890132
## May 1985 346.4216  0.12275723  2.900783e+00   2.444684867   1.398643934
## Jun 1985 346.5182  0.12243009  2.347073e+00   2.895795585   2.447951375
## Jul 1985 346.5077  0.12076904  8.582408e-01   2.321754159   2.912387334
## Aug 1985 346.3407  0.11717398 -1.156513e+00   0.803445035   2.357670875
## Sep 1985 346.5047  0.11775915 -3.077814e+00  -1.147593350   0.797599382
## Oct 1985 346.6491  0.11809194 -3.110965e+00  -3.072741885  -1.150917129
## Nov 1985 346.6510  0.11664014 -2.054479e+00  -3.133092306  -3.058244501
## Dec 1985 346.8501  0.11767045 -8.637022e-01  -2.038779060  -3.143379605
## Jan 1986 347.0503  0.11870193 -1.829102e-01  -0.847987675  -2.049078030
## Feb 1986 347.1150  0.11802746  5.081327e-01  -0.193183259  -0.841252891
## Mar 1986 347.1446  0.11692230  1.404485e+00   0.491301363  -0.182147664
## Apr 1986 347.0768  0.11461326  2.458865e+00   1.369312845   0.514356012
## May 1986 347.3917  0.11711654  2.912930e+00   2.497002764   1.344321938
## Jun 1986 347.6419  0.11877832  2.352285e+00   2.938246395   2.480410062
## Jul 1986 347.7519  0.11866925  7.980520e-01   2.350623218   2.939335829
## Aug 1986 347.6853  0.11635475 -1.142809e+00   0.762798913   2.373744496
## Sep 1986 347.5716  0.11348049 -3.053667e+00  -1.186589291   0.791510017
## Oct 1986 348.2793  0.12090467 -3.162324e+00  -2.940583733  -1.260736228
## Nov 1986 348.2168  0.11861281 -2.041511e+00  -3.197230399  -2.917698272
## Dec 1986 348.3630  0.11895807 -8.387275e-01  -2.036252996  -3.200677711
## Jan 1987 348.4546  0.11861619 -1.782440e-01  -0.843932720  -2.032839459
## Feb 1987 348.8534  0.12211790  5.007925e-01  -0.124940727  -0.878898010
## Mar 1987 348.7073  0.11876586  1.349869e+00   0.449770967  -0.091468692
## Apr 1987 348.6734  0.11685768  2.486459e+00   1.320820028   0.468823348
## May 1987 348.9386  0.11871102  2.938966e+00   2.514677676   1.302317327
## Jun 1987 349.2256  0.12081352  2.369805e+00   2.970976167   2.493684968
## Jul 1987 349.3369  0.12069478  7.783232e-01   2.367997834   2.972162082
## Aug 1987 349.5161  0.12142619 -1.257786e+00   0.789456472   2.360691875
## Sep 1987 349.6015  0.12097594 -2.917056e+00  -1.264639753   0.793953719
## Oct 1987 349.7074  0.12078716 -3.200399e+00  -2.919929396  -1.262754486
## Nov 1987 349.9597  0.12243105 -2.041405e+00  -3.175377105  -2.936343931
## Dec 1987 350.1820  0.12367868 -8.748207e-01  -2.022416444  -3.187833953
## Jan 1988 350.2889  0.12346864 -8.878469e-02  -0.878016786  -2.020319276
## Feb 1988 350.6038  0.12586062  4.584530e-01  -0.052393871  -0.901900963
## Mar 1988 351.1236  0.13078357  1.286921e+00   0.533345011  -0.101551514
## Apr 1988 351.3097  0.13147418  2.492761e+00   1.297428361   0.526449633
## May 1988 351.3593  0.13045218  2.974212e+00   2.477209664   1.307631345
## Jun 1988 351.5000  0.13057914  2.361243e+00   2.976143449   2.475942059
## Jul 1988 351.6421  0.13072426  7.922465e-01   2.363450885   2.974694188
## Aug 1988 351.9987  0.13354550 -1.274494e+00   0.835165802   2.335272157
## Sep 1988 351.9876  0.13173806 -2.936079e+00  -1.301990436   0.853217715
## Oct 1988 352.0690  0.13110916 -3.188882e+00  -2.945647202  -1.295710184
## Nov 1988 352.5027  0.13488993 -2.037291e+00  -3.131365541  -2.983397261
## Dec 1988 352.6095  0.13453941 -9.109835e-01  -2.042623152  -3.127865853
## Jan 1989 352.6956  0.13393306 -1.006616e-01  -0.920205134  -2.036569224
## Feb 1989 353.1230  0.13760032  5.196212e-01  -0.044897772  -0.956822130
## Mar 1989 353.1292  0.13595924  1.310851e+00   0.494668321  -0.028511423
## Apr 1989 353.0428  0.13317980  2.481116e+00   1.268584731   0.522418810
## May 1989 353.2971  0.13469348  2.966064e+00   2.504136117   1.253473450
## Jun 1989 353.2383  0.13227676  2.343401e+00   2.929312144   2.528264525
## Jul 1989 353.2831  0.13118298  8.542430e-01   2.326769197   2.940234607
## Aug 1989 353.3603  0.13050932 -1.302092e+00   0.844000204   2.333497151
## Sep 1989 353.3560  0.12882537 -2.979381e+00  -1.327696422   0.860817444
## Oct 1989 353.3078  0.12661341 -3.123228e+00  -3.013014203  -1.305609006
## Nov 1989 353.5242  0.12773597 -2.045128e+00  -3.106159680  -3.024222178
## Dec 1989 353.6958  0.12828307 -9.534483e-01  -2.036810376  -3.111621752
## Jan 1990 353.9276  0.12957728 -2.604475e-02  -0.933775183  -2.049731584
## Feb 1990 354.0315  0.12925624  5.225986e-01  -0.030924195  -0.930569710
## Mar 1990 354.4980  0.13346978  1.249921e+00   0.586636307  -0.072995240
## Apr 1990 354.6328  0.13348575  2.532014e+00   1.250163623   0.586476865
## May 1990 354.2814  0.12742894  2.958047e+00   2.439945622   1.310628182
## Jun 1990 354.4957  0.12851334  2.335133e+00   2.974530079   2.429119473
## Jul 1990 354.3519  0.12511154  8.714201e-01   2.283431940   3.008498130
## Aug 1990 354.2711  0.12253954 -1.303376e+00   0.832332510   2.309116881
## Sep 1990 354.4506  0.12325183 -3.029064e+00  -1.292550695   0.825219526
## Oct 1990 354.5482  0.12293100 -3.114614e+00  -3.033939692  -1.289347199
## Nov 1990 354.8295  0.12490984 -2.055656e+00  -3.084540084  -3.053695997
## Dec 1990 355.1806  0.12773550 -9.436085e-01  -2.012717014  -3.112749320
## Jan 1991 355.4152  0.12907060 -7.154146e-02  -0.923323012  -2.026046004
## Feb 1991 355.2887  0.12587748  6.073864e-01  -0.120051247  -0.891442585
## Mar 1991 355.3676  0.12529001  1.312962e+00   0.598461825  -0.114185748
## Apr 1991 355.8941  0.13030283  2.424814e+00   1.389120628   0.548416194
## May 1991 356.3031  0.13378430  3.004216e+00   2.477710775   1.354366482
## Jun 1991 356.3891  0.13318775  2.308926e+00   2.995152626   2.483666162
## Jul 1991 356.2331  0.12957568  8.333723e-01   2.254053640   3.031217780
## Aug 1991 355.8892  0.12366016 -1.280488e+00   0.743512365   2.313123546
## Sep 1991 355.6182  0.11873129 -3.048397e+00  -1.355361253   0.792728516
## Oct 1991 355.5950  0.11695748 -3.111432e+00  -3.075343571  -1.337651114
## Nov 1991 355.6789  0.11654426 -2.021685e+00  -3.117708696  -3.071218343
## Dec 1991 355.9392  0.11834128 -8.990342e-01  -1.994389131  -3.135648032
## Jan 1992 356.1625  0.11965181 -1.282869e-01  -0.879130539  -2.007472200
## Feb 1992 356.4711  0.12201220  5.388598e-01  -0.092442252  -0.902695987
## Mar 1992 356.7167  0.12355651  1.357018e+00   0.562310770  -0.107860384
## Apr 1992 356.7762  0.12275604  2.498436e+00   1.344861651   0.570301993
## May 1992 356.8652  0.12233456  3.047628e+00   2.492034292   1.349068998
## Jun 1992 356.8622  0.12076922  2.327399e+00   3.023855882   2.507660473
## Jul 1992 357.1377  0.12270160  7.907847e-01   2.356742184   3.004563079
## Aug 1992 356.7794  0.11669362 -1.324498e+00   0.699557683   2.416730927
## Sep 1992 356.6089  0.11310549 -3.067804e+00  -1.378981555   0.735383709
## Oct 1992 356.3939  0.10900685 -3.130723e+00  -3.130040925  -1.338062083
## Nov 1992 356.5936  0.11014028 -2.016371e+00  -3.113512409  -3.141355744
## Dec 1992 356.6066  0.10892672 -9.029171e-01  -2.034797569  -3.101398094
## Jan 1993 356.7009  0.10874390 -1.053254e-01  -0.905692454  -2.032972623
## Feb 1993 357.1213  0.11263747  5.632267e-01  -0.046220282  -0.944562909
## Mar 1993 357.0705  0.11059566  1.358316e+00   0.532232201  -0.025836005
## Apr 1993 357.2807  0.11183977  2.506334e+00   1.377202743   0.519812542
## May 1993 357.1472  0.10877549  3.026933e+00   2.459812763   1.407790227
## Jun 1993 357.3338  0.10974670  2.423682e+00   3.041677044   2.450117945
## Jul 1993 357.3709  0.10884033  7.447451e-01   2.409924309   3.050725636
## Aug 1993 357.0685  0.10370258 -1.327668e+00   0.666760986   2.461220508
## Sep 1993 357.1840  0.10385064 -3.140180e+00  -1.325420535   0.665282755
## Oct 1993 357.3473  0.10459266 -3.105190e+00  -3.128916480  -1.332828125
## Nov 1993 357.4444  0.10449926 -2.039460e+00  -3.106607562  -3.127984211
## Dec 1993 357.6262  0.10546447 -9.428933e-01  -2.024809740  -3.116242249
## Jan 1994 357.9459  0.10814070 -3.266958e-02  -0.902277782  -2.051524653
## Feb 1994 358.3301  0.11158955  5.179524e-01   0.019666753  -0.936707049
## Mar 1994 358.5603  0.11307142  1.404474e+00   0.540439386   0.004873351
## Apr 1994 358.7631  0.11419257  2.452616e+00   1.421488551   0.529247729
## May 1994 358.9664  0.11530629  3.058162e+00   2.469518292   1.410371854
## Jun 1994 358.9306  0.11341841  2.465069e+00   3.029512815   2.488362748
## Jul 1994 358.7625  0.10990134  6.717961e-01   2.411700337   3.064623156
## Aug 1994 358.9192  0.11048579 -1.335973e+00   0.680664242   2.405865476
## Sep 1994 359.0339  0.11053830 -3.133144e+00  -1.335176015   0.680140011
## Oct 1994 359.1192  0.11022405 -3.123485e+00  -3.137912740  -1.332039043
## Nov 1994 359.3618  0.11187767 -2.063411e+00  -3.098393425  -3.154418911
## Dec 1994 359.6909  0.11459130 -9.466552e-01  -2.022237464  -3.125479793
## Jan 1995 360.0253  0.11733696 -3.574337e-03  -0.904999358  -2.049644454
## Feb 1995 360.1539  0.11747787  5.289825e-01  -0.001436719  -0.906405966
## Mar 1995 360.4673  0.11992542  1.410443e+00   0.566111837  -0.025869381
## Apr 1995 360.6504  0.12071447  2.493096e+00   1.422413247   0.558235543
## May 1995 360.9543  0.12300292  3.057869e+00   2.527814987   1.399571685
## Jun 1995 360.9648  0.12159666  2.408694e+00   3.036535002   2.541851418
## Jul 1995 361.0595  0.12126131  6.799021e-01   2.403607138   3.039882625
## Aug 1995 361.2058  0.12157462 -1.338341e+00   0.684654671   2.400479307
## Sep 1995 360.9953  0.11742590 -3.151644e+00  -1.401272199   0.726070590
## Oct 1995 361.4071  0.12110253 -3.140635e+00  -3.095872896  -1.437972754
## Nov 1995 361.4500  0.12012677 -2.049718e+00  -3.155436675  -3.086133337
## Dec 1995 361.6997  0.12174518 -9.158293e-01  -2.025169409  -3.171590448
## Jan 1996 361.8438  0.12202386 -2.892523e-02  -0.911602473  -2.027951097
## Feb 1996 362.2038  0.12499683  5.477263e-01   0.016162371  -0.941278633
## Mar 1996 362.7048  0.12969382  1.391364e+00   0.618959341  -0.030723409
## Apr 1996 362.9481  0.13111311  2.539683e+00   1.412889473   0.604792566
## May 1996 362.5863  0.12495542  3.056394e+00   2.446289913   1.474349065
## Jun 1996 362.4686  0.12192464  2.414372e+00   3.010428784   2.476540303
## Jul 1996 362.6999  0.12329108  7.152628e-01   2.435094202   2.996789186
## Aug 1996 362.9930  0.12541238 -1.443471e+00   0.747431055   2.413918399
## Sep 1996 363.1187  0.12541588 -3.090906e+00  -1.443418396   0.747396098
## Oct 1996 363.0354  0.12280848 -3.168136e+00  -3.130447058  -1.417392123
## Nov 1996 363.0672  0.12167181 -2.032827e+00  -3.185373313  -3.119101847
## Dec 1996 363.1924  0.12171515 -9.497475e-01  -2.032170305  -3.185805849
## Jan 1997 363.4051  0.12285288 -3.262564e-02  -0.932496212  -2.043526261
## Feb 1997 363.4461  0.12182995  6.202262e-01  -0.048135228  -0.922285656
## Mar 1997 363.6567  0.12293890  1.476483e+00   0.637039719  -0.059204434
## Apr 1997 363.4811  0.11920907  2.482160e+00   1.419929702   0.674267869
## May 1997 363.9258  0.12327509  2.983565e+00   2.543811918   1.379348233
## Jun 1997 363.9630  0.12219953  2.417873e+00   2.967257237   2.554546827
## Jul 1997 363.6830  0.11717591  7.654072e-01   2.341709526   3.017400128
## Aug 1997 363.8073  0.11726541 -1.415402e+00   0.766764114   2.340816116
## Sep 1997 363.9296  0.11732766 -3.120092e+00  -1.414458330   0.766142825
## Oct 1997 363.8186  0.11447558 -3.180759e+00  -3.163332163  -1.385990953
## Nov 1997 364.1383  0.11703951 -2.047997e+00  -3.141888245  -3.188922032
## Dec 1997 364.6012  0.12135967 -9.337665e-01  -1.982502874  -3.185005968
## Jan 1998 365.2432  0.12786366 -6.950463e-02  -0.835172226  -2.047418105
## Feb 1998 365.5047  0.12953341  6.642596e-01  -0.044194179  -0.851838513
## Mar 1998 365.5916  0.12900093  1.386276e+00   0.656188121  -0.038879256
## Apr 1998 365.9567  0.13195040  2.557653e+00   1.430985964   0.626749883
## May 1998 366.2590  0.13407788  3.012158e+00   2.589902972   1.409752978
## Jun 1998 366.5716  0.13630753  2.335630e+00   3.045955985   2.567650160
## Jul 1998 366.8455  0.13802743  7.645624e-01   2.361699666   3.028789547
## Aug 1998 367.2121  0.14088264 -1.401608e+00   0.807838287   2.333200346
## Sep 1998 367.5319  0.14311705 -3.206551e+00  -1.367741151   0.785535717
## Oct 1998 367.5728  0.14184076 -3.195360e+00  -3.225895634  -1.355002597
## Nov 1998 367.8151  0.14309525 -2.054010e+00  -3.176345091  -3.238416036
## Dec 1998 367.9019  0.14239207 -8.514296e-01  -2.064667901  -3.169327082
## Jan 1999 368.1985  0.14431818 -5.115464e-02  -0.822238215  -2.083891552
## Feb 1999 368.4680  0.14588264  6.167933e-01  -0.027445562  -0.837852995
## Mar 1999 368.7345  0.14738921  1.400100e+00   0.639624738  -0.042482540
## Apr 1999 368.6999  0.14511490  2.568134e+00   1.365632924   0.662323567
## May 1999 368.7721  0.14420412  3.024767e+00   2.554330533   1.374722608
## Jun 1999 368.4980  0.13897955  2.342162e+00   2.945588655   2.606472308
## Jul 1999 368.4021  0.13604477  7.944641e-01   2.297688637   2.974879810
## Aug 1999 368.7936  0.13923636 -1.365788e+00   0.842828001   2.265832926
## Sep 1999 368.7056  0.13639703 -3.232063e+00  -1.408813978   0.871167444
## Oct 1999 368.5185  0.13235608 -3.163860e+00  -3.293298818  -1.368483025
## Nov 1999 368.7530  0.13363280 -2.089988e+00  -3.144512801  -3.306040583
## Dec 1999 369.0207  0.13530761 -8.432477e-01  -2.064609431  -3.161227373
## Jan 2000 369.2070  0.13594462 -3.818141e-02  -0.833595573  -2.070966906
## Feb 2000 369.5167  0.13811498  6.620286e-01  -0.005296721  -0.855257152
## Mar 2000 369.3652  0.13449654  1.395070e+00   0.607203425   0.030817737
## Apr 2000 369.4933  0.13441749  2.611821e+00   1.393872620   0.607992307
## May 2000 369.5504  0.13345134  2.973189e+00   2.597181480   1.403514629
## Jun 2000 369.2058  0.12747962  2.287634e+00   2.882707290   2.656778307
## Jul 2000 369.5660  0.13038631  8.707573e-01   2.331672819   2.853697620
## Aug 2000 369.4388  0.12716930 -1.364600e+00   0.822018315   2.363780880
## Sep 2000 369.6870  0.12868041 -3.313394e+00  -1.341705953   0.806936464
## Oct 2000 370.2954  0.13467382 -3.177810e+00  -3.222588699  -1.401521621
## Nov 2000 370.4687  0.13515524 -2.074368e+00  -3.170516365  -3.227393162
## Dec 2000 370.6877  0.13620285 -8.498740e-01  -2.058496572  -3.180971259
## Jan 2001 370.8191  0.13614263  3.292469e-02  -0.850786345  -2.057895567
## Feb 2001 370.8984  0.13543256  6.145821e-01   0.022168035  -0.843699666
## Mar 2001 371.1432  0.13679939  1.410403e+00   0.635287829   0.008526589
## Apr 2001 371.3272  0.13738910  2.650513e+00   1.419336418   0.629402601
## May 2001 371.2003  0.13408727  2.865982e+00   2.600492278   1.452287202
## Jun 2001 371.3120  0.13380729  2.358453e+00   2.861740697   2.603286372
## Jul 2001 371.2787  0.13171983  8.000641e-01   2.326831947   2.882573689
## Aug 2001 371.1640  0.12864184 -1.395404e+00   0.753439841   2.357551465
## Sep 2001 371.2997  0.12872999 -3.229581e+00  -1.394068378   0.752560090
## Oct 2001 371.5952  0.13081347 -3.186093e+00  -3.198020684  -1.414861414
## Nov 2001 371.8502  0.13236427 -2.061167e+00  -3.162601019  -3.213497016
## Dec 2001 372.0758  0.13353001 -8.487893e-01  -2.043508549  -3.174234462
## Jan 2002 372.3286  0.13501952  5.889182e-03  -0.826227961  -2.058373467
## Feb 2002 372.6895  0.13784113  6.296031e-01   0.048625737  -0.854387657
## Mar 2002 372.8588  0.13823408  1.453445e+00   0.635554743   0.044704069
## Apr 2002 372.9895  0.13813962  2.609081e+00   1.452013775   0.636497434
## May 2002 372.8751  0.13498580  2.895820e+00   2.561311575   1.483486858
## Jun 2002 373.1084  0.13621354  2.353019e+00   2.914415945   2.549059505
## Jul 2002 373.3859  0.13797806  7.427392e-01   2.379743265   2.896806494
## Aug 2002 373.5432  0.13822037 -1.419734e+00   0.746409012   2.377324966
## Sep 2002 373.6237  0.13749848 -3.215188e+00  -1.430667084   0.753613507
## Oct 2002 374.0773  0.14144714 -3.188184e+00  -3.155383791  -1.470073466
## Nov 2002 374.1204  0.14021902 -2.060922e+00  -3.206784546  -3.143127999
## Dec 2002 374.4896  0.14307927 -8.615200e-01  -2.017603066  -3.235327689
## Jan 2003 374.8502  0.14579607  3.934918e-02  -0.820375991  -2.044715276
## Feb 2003 375.1075  0.14718948  6.380615e-01   0.060450659  -0.834281899
## Mar 2003 375.3007  0.14776419  1.478829e+00   0.646764774   0.054715146
## Apr 2003 375.3622  0.14668715  2.548244e+00   1.462518348   0.657513088
## May 2003 375.5148  0.14676065  2.895993e+00   2.549357528   1.461784858
## Jun 2003 375.8897  0.14961079  2.369478e+00   2.939155004   2.520915594
## Jul 2003 376.1634  0.15116090  7.418806e-01   2.392952093   2.923685603
## Aug 2003 376.2989  0.15096557 -1.469332e+00   0.738922701   2.394901486
## Sep 2003 376.2895  0.14896141 -3.145110e+00  -1.499680833   0.758923767
## Oct 2003 376.5593  0.15047166 -3.244814e+00  -3.122240513  -1.514752269
## Nov 2003 376.7070  0.15043676 -2.047647e+00  -3.245342499  -3.121892244
## Dec 2003 376.9691  0.15183122 -8.385702e-01  -2.026530934  -3.259257891
## Jan 2004 377.1453  0.15213610  5.529662e-02  -0.833953717  -2.029573425
## Feb 2004 377.2785  0.15189979  6.563231e-01   0.051718460  -0.831595414
## Mar 2004 377.5016  0.15278868  1.453559e+00   0.669782423   0.042847641
## Apr 2004 377.7192  0.15359813  2.516251e+00   1.465815164   0.661704797
## May 2004 378.0610  0.15594939  2.918925e+00   2.551854174   1.442352032
## Jun 2004 378.1058  0.15456045  2.401203e+00   2.897894479   2.565714349
## Jul 2004 377.8667  0.14964321  7.682421e-01   2.326751020   2.946964880
## Aug 2004 377.4077  0.14203969 -1.496195e+00   0.653120111   2.402630743
## Sep 2004 377.7095  0.14403557 -3.129431e+00  -1.465976070   0.633202180
## Oct 2004 377.7608  0.14287729 -3.257721e+00  -3.146968111  -1.454417352
## Nov 2004 377.9821  0.14385723 -2.032462e+00  -3.242883614  -3.156746847
## Dec 2004 378.3610  0.14679355 -8.413165e-01  -1.988004384  -3.272184665
## Jan 2005 378.6069  0.14803105  3.761868e-02  -0.822580746  -2.000353524
## Feb 2005 378.7459  0.14791917  6.596210e-01   0.035924852  -0.821464248
## Mar 2005 379.2056  0.15181338  1.439211e+00   0.718577306  -0.002936744
## Apr 2005 379.5460  0.15416943  2.572638e+00   1.474880898   0.695066159
## May 2005 379.9235  0.15695899  2.953538e+00   2.614871445   1.447044470
## Jun 2005 379.9340  0.15512913  2.403593e+00   2.925834965   2.633131263
## Jul 2005 380.1277  0.15561114  6.334547e-01   2.410889808   2.921024872
## Aug 2005 380.3877  0.15691474 -1.461315e+00   0.653189415   2.397880782
## Sep 2005 380.5468  0.15694303 -3.163463e+00  -1.460886495   0.652907132
## Oct 2005 380.3989  0.15313426 -3.265862e+00  -3.221124006  -1.422878756
## Nov 2005 380.5872  0.15357419 -2.003473e+00  -3.259201865  -3.225513891
## Dec 2005 380.7138  0.15323640 -8.297588e-01  -2.008586352  -3.255831222
## Jan 2006 381.1303  0.15652512 -1.687884e-02  -0.779973914  -2.041404067
## Feb 2006 381.5752  0.16012745  6.812695e-01   0.037651928  -0.815921886
## Mar 2006 381.8240  0.16123587  1.447222e+00   0.698048387   0.026590878
## Apr 2006 381.7311  0.15806112  2.639846e+00   1.399163360   0.729728825
## May 2006 382.1543  0.16137337  2.911312e+00   2.689986907   1.366111659
## Jun 2006 382.4111  0.16256513  2.396400e+00   2.929352231   2.678094862
## Jul 2006 382.2229  0.15818408  6.705453e-01   2.330082797   2.973070140
## Aug 2006 382.2307  0.15630429 -1.419242e+00   0.642091309   2.348841365
## Sep 2006 382.2563  0.15467218 -3.223016e+00  -1.443946789   0.658378263
## Oct 2006 382.4151  0.15472398 -3.264159e+00  -3.222231460  -1.444463726
## Nov 2006 382.6805  0.15610614 -2.052133e+00  -3.243237025  -3.236023396
## Dec 2006 382.6646  0.15395719 -8.117722e-01  -2.084661124  -3.221793681
## Jan 2007 382.9219  0.15524799  2.804367e-02  -0.792234170  -2.097541661
## Feb 2007 383.1699  0.15640677  7.207024e-01   0.045582815  -0.803797483
## Mar 2007 383.4681  0.15817801  1.361962e+00   0.747511671   0.027907751
## Apr 2007 383.6139  0.15802341  2.687925e+00   1.359621693   0.749054282
## May 2007 384.0365  0.16132924  2.969278e+00   2.737962302   1.326634634
## Jun 2007 384.0583  0.15958604  2.355961e+00   2.942892728   2.755356784
## Jul 2007 384.1658  0.15893548  6.596972e-01   2.346114099   2.949384431
## Aug 2007 384.2657  0.15819811 -1.444389e+00   0.648536933   2.353472251
## Sep 2007 384.0647  0.15371012 -3.221666e+00  -1.512315378   0.693322043
## Oct 2007 384.4390  0.15646630 -3.231771e+00  -3.179950153  -1.539818369
## Nov 2007 384.6961  0.15772292 -2.104293e+00  -3.212751148  -3.192489243
## Dec 2007 384.9207  0.15855851 -8.097575e-01  -2.091646631  -3.221088989
## Jan 2008 385.1281  0.15916908  2.535491e-02  -0.800516761  -2.097739162
## Feb 2008 385.6745  0.16400611  7.318371e-01   0.098560293  -0.848784238
## Mar 2008 385.6245  0.16133245  1.336969e+00   0.691373043   0.125240055
## Apr 2008 385.3647  0.15607168  2.771011e+00   1.257349204   0.743867880
## May 2008 385.0228  0.14985171  2.968535e+00   2.676874428   1.319414071
## Jun 2008 385.6601  0.15594016  2.345458e+00   3.060679929   2.616121933
## Jul 2008 385.8064  0.15582035  6.866709e-01   2.343644733   3.061875457
## Aug 2008 386.0345  0.15672299 -1.545285e+00   0.700331159   2.334637556
## Sep 2008 386.0866  0.15541671 -3.191608e+00  -1.565053549   0.713366191
## Oct 2008 386.5603  0.15939236 -3.233572e+00  -3.131440734  -1.604724515
## Nov 2008 386.6537  0.15856830 -2.102736e+00  -3.246042997  -3.123218069
## Dec 2008 386.7252  0.15747973 -8.375648e-01  -2.119210336  -3.235181023
## Jan 2009 386.8223  0.15672623  1.394118e-01  -0.848967840  -2.111691541
## Feb 2009 387.1078  0.15833406  7.486445e-01   0.163743046  -0.865011769
## Mar 2009 387.1694  0.15712656  1.310613e+00   0.730371510   0.175792196
## Apr 2009 387.6726  0.16144955  2.605180e+00   1.376033335   0.687235029
## May 2009 387.5141  0.15745202  3.069897e+00   2.544684659   1.415921496
## Jun 2009 387.5331  0.15572298  2.340077e+00   3.043732064   2.561937241
## Jul 2009 387.5818  0.15438597  7.099249e-01   2.319844906   3.057073291
## Aug 2009 387.7042  0.15398665 -1.601562e+00   0.703882211   2.323829565
## Sep 2009 387.9740  0.15543299 -3.124730e+00  -1.579675664   0.689449793
## Oct 2009 388.1917  0.15621076 -3.236674e+00  -3.112960768  -1.587436528
## Nov 2009 388.1532  0.15377882 -2.108536e+00  -3.273474792  -3.088694466
## Dec 2009 388.4215  0.15520957 -8.674502e-01  -2.086885381  -3.287750983
## Jan 2010 388.6237  0.15579575  1.683308e-01  -0.858580265  -2.092734406
## Feb 2010 388.8524  0.15670684  6.935347e-01   0.182117066  -0.867671569
## Mar 2010 389.5431  0.16337784  1.403081e+00   0.794477333   0.115550910
## Apr 2010 389.9684  0.16664980  2.555724e+00   1.452591196   0.761828898
## May 2010 390.2252  0.16777595  3.054172e+00   2.572764412   1.441354449
## Jun 2010 390.3501  0.16724032  2.322481e+00   3.046066734   2.578108902
## Jul 2010 390.3365  0.16498145  6.947869e-01   2.288301922   3.068606306
## Aug 2010 390.1175  0.16018472 -1.571519e+00   0.622207794   2.336165575
## Sep 2010 390.2740  0.16013838 -3.091776e+00  -1.572220452   0.622670234
## Oct 2010 390.3401  0.15896317 -3.287761e+00  -3.109557665  -1.560494039
## Nov 2010 390.7324  0.16187916 -2.105684e+00  -3.243638799  -3.138653464
## Dec 2010 391.0447  0.16375702 -8.870877e-01  -2.077270326  -3.262376127
## Jan 2011 391.1049  0.16246336  1.121681e-01  -0.906661636  -2.064361989
## Feb 2011 391.4422  0.16464809  7.553034e-01   0.145223810  -0.928461509
## Mar 2011 391.5157  0.16350928  1.446959e+00   0.738072822   0.156587181
## Apr 2011 391.5787  0.16225358  2.588071e+00   1.427959560   0.750602427
## May 2011 391.2918  0.15664279  3.091911e+00   2.503176460   1.483943699
## Jun 2011 391.4647  0.15684586  2.336261e+00   3.094983606   2.501150292
## Jul 2011 391.7136  0.15799662  6.201587e-01   2.353672202   3.083501220
## Aug 2011 392.1103  0.16097818 -1.574569e+00   0.665269103   2.323921388
## Sep 2011 392.1441  0.15938968 -3.138138e+00  -1.598602593   0.681119538
## Oct 2011 392.4729  0.16150506 -3.265767e+00  -3.106132327  -1.619710002
## Nov 2011 392.6238  0.16137305 -2.067257e+00  -3.267764676  -3.104815113
## Dec 2011 392.7379  0.16078208 -9.233296e-01  -2.076198590  -3.261868020
## Jan 2012 393.0504  0.16267714  1.569397e-01  -0.894658355  -2.095107558
## Feb 2012 393.2765  0.16347009  7.586673e-01   0.168936544  -0.902570603
## Mar 2012 393.4430  0.16350736  1.482444e+00   0.759231156   0.168564674
## Apr 2012 393.3992  0.16091790  2.504175e+00   1.443267024   0.785068851
## May 2012 393.8547  0.16459782  3.069370e+00   2.559849834   1.406549337
## Jun 2012 394.0230  0.16464379  2.325429e+00   3.070065657   2.559391170
## Jul 2012 393.9167  0.16125928  6.856497e-01   2.274224865   3.103836279
## Aug 2012 394.0518  0.16093258 -1.618307e+00   0.680707240   2.277484636
## Sep 2012 394.3094  0.16214110 -3.107739e+00  -1.600023847   0.668648484
## Oct 2012 394.5447  0.16305436 -3.268249e+00  -3.093922325  -1.609136337
## Nov 2012 394.7038  0.16300459 -2.096404e+00  -3.269001833  -3.093425672
## Dec 2012 395.2330  0.16758003 -9.133226e-01  -2.027183102  -3.314654689
## Jan 2013 395.5553  0.16951237  1.665811e-01  -0.884089476  -2.046463761
## Feb 2013 395.7607  0.16996107  7.773575e-01   0.173369215  -0.888566674
## Mar 2013 396.2347  0.17375888  1.398653e+00   0.834811268   0.135474516
## Apr 2013 396.4249  0.17396454  2.564952e+00   1.401764552   0.832759180
## May 2013 396.3827  0.17126328  3.110517e+00   2.524086663   1.428717155
## Jun 2013 396.8795  0.17533063  2.264634e+00   3.172048341   2.483503611
## Jul 2013 396.8483  0.17275083  6.722617e-01   2.225607284   3.197789244
## Aug 2013 397.0145  0.17266905 -1.611192e+00   0.671024529   2.226423306
## Sep 2013 397.1790  0.17256604 -3.102995e+00  -1.612750769   0.672052401
## Oct 2013 397.1315  0.16981782 -3.312182e+00  -3.144569944  -1.585329457
## Nov 2013 397.3512  0.17044051 -2.050453e+00  -3.302761891  -3.150782928
## Dec 2013 397.5583  0.17089803 -8.968710e-01  -2.043531580  -3.307326905
## Jan 2014 397.9570  0.17374393  1.286910e-01  -0.853819922  -2.071927391
## Feb 2014 398.1025  0.17339139  8.368731e-01   0.123358167  -0.850302388
## Mar 2014 397.8622  0.16822350  1.435401e+00   0.758697398   0.174923072
## Apr 2014 398.4089  0.17295161  2.477235e+00   1.506924067   0.711521276
## May 2014 398.9674  0.17776815  3.185768e+00   2.550096969   1.458866187
## Jun 2014 399.0258  0.17627662  2.231058e+00   3.163205253   2.564978882
## Jul 2014 399.3091  0.17761344  6.736382e-01   2.251280044   3.149866840
## Aug 2014 399.0462  0.17211084 -1.573255e+00   0.590401634   2.306184439
## Sep 2014 399.0373  0.16984906 -3.146551e+00  -1.607468127   0.612969413
## Oct 2014 398.9904  0.16714136 -3.305085e+00  -3.187510330  -1.580451312
## Nov 2014 399.4509  0.17080649 -2.078715e+00  -3.249642770  -3.224079732
## Dec 2014 399.6389  0.17102126 -8.445069e-01  -2.075466672  -3.251785678
## Jan 2015 399.9864  0.17322635  1.582433e-01  -0.811151693  -2.097468355
## Feb 2015 400.1815  0.17349905  7.023762e-01   0.162368297  -0.813872709
## Mar 2015 400.1486  0.17092139  1.468483e+00   0.663385703   0.188087767
## Apr 2015 400.3955  0.17187001  2.563467e+00   1.482832262   0.653920646
## May 2015 400.8090  0.17488896  3.153912e+00   2.609133072   1.452710404
## Jun 2015 401.0995  0.17633305  2.307256e+00   3.175755680   2.594724586
## Jul 2015 401.0059  0.17296077  6.245326e-01   2.256246795   3.209403195
## Aug 2015 401.0735  0.17164482 -1.584072e+00   0.604627574   2.269377142
## Sep 2015 401.0107  0.16871515 -3.217974e+00  -1.628385580   0.633859235
## Oct 2015 401.1963  0.16892606 -3.256095e+00  -3.214784203  -1.630489999
## Nov 2015 401.7050  0.17317115 -2.107799e+00  -3.191883364  -3.257139894
## Dec 2015 402.2940  0.17836556 -8.234784e-01  -2.029228973  -3.243710775
## Jan 2016 402.8367  0.18291680  1.728416e-01  -0.754637607  -2.074639680
## Feb 2016 402.8468  0.18075872  6.531947e-01   0.140199448  -0.733104765
## Mar 2016 403.4911  0.18654892  1.437766e+00   0.740774451   0.082426304
## Apr 2016 403.7587  0.18756130  2.599103e+00   1.453079123   0.730673274
## May 2016 404.7140  0.19715185  3.188877e+00   2.744166477   1.357389156
## Jun 2016 404.9094  0.19712975  2.273134e+00   3.188543268   2.744386944
## Jul 2016 404.9875  0.19564352  6.343717e-01   2.250654260   3.203372343
## Aug 2016 404.5454  0.18767662 -1.621262e+00   0.513871156   2.330145734
## Sep 2016 404.4400  0.18401585 -3.259045e+00  -1.676631869   0.550397181
## Oct 2016 404.6543  0.18439415 -3.252904e+00  -3.253322720  -1.680406398
## Nov 2016 405.0789  0.18739407 -2.081719e+00  -3.207529106  -3.283254422
## Dec 2016 405.7130  0.19297483 -7.603717e-01  -1.997308950  -3.263210964
## Jan 2017 405.7128  0.19056099  8.150962e-02  -0.796880781  -1.973224731
## Feb 2017 406.2530  0.19492878  7.025068e-01   0.147571348  -0.840461027
## Mar 2017 406.2653  0.19264751  1.364850e+00   0.668003222   0.170333004
## Apr 2017 406.4022  0.19195164  2.753559e+00   1.354325353   0.674946348
## May 2017 406.6339  0.19244744  3.218826e+00   2.761057554   1.349378497
## Jun 2017 406.8494  0.19273550  2.335449e+00   3.223182772   2.758183508
## Jul 2017 406.9773  0.19192621  5.494865e-01   2.323209428   3.231257418
## Aug 2017 407.0476  0.19040671 -1.684692e+00   0.526504907   2.338370475
## Sep 2017 407.2115  0.19007533 -3.292148e+00  -1.689703432   0.529811289
## Oct 2017 407.1857  0.18737816 -3.253618e+00  -3.332941560  -1.662792312
## Nov 2017 407.3038  0.18651313 -1.977880e+00  -3.266700877  -3.324310801
## Dec 2017 407.4805  0.18639029 -8.355341e-01  -1.979738150  -3.265475257
## Jan 2018 407.8863  0.18913163  1.644664e-01  -0.794073513  -2.007089830
## Feb 2018 408.1368  0.18989774  6.718032e-01   0.176053174  -0.801717457
## Mar 2018 408.1483  0.18766979  1.355015e+00   0.638107570   0.198282688
## Apr 2018 408.3896  0.18833895  2.759206e+00   1.365135590   0.631431095
## May 2018 408.1460  0.18294407  3.248244e+00   2.677612586   1.418962446
## Jun 2018 408.3572  0.18329712  2.340041e+00   3.253583406   2.674090048
## Jul 2018 408.7214  0.18555716  5.294468e-01   2.374221821   3.231033912
## Aug 2018 408.6901  0.18284800 -1.654989e+00   0.488474084   2.401252599
## Sep 2018 408.9501  0.18381195 -3.327601e+00  -1.640410453   0.478856211
## Oct 2018 409.1880  0.18448715 -3.272473e+00  -3.317389640  -1.647147166
## Nov 2018 409.5421  0.18660619 -2.012758e+00  -3.240424426  -3.338532113
## Dec 2018 410.1494  0.19186114 -8.105713e-01  -1.933283106  -3.292854971
## Jan 2019 410.2987  0.19132979  2.003298e-01  -0.818607308  -1.927981554
## Feb 2019 410.8182  0.19542912  6.310317e-01   0.262325850  -0.859508428
## Mar 2019 411.3293  0.19937262  1.407283e+00   0.690670977   0.222979541
## Apr 2019 411.1847  0.19507534  2.681435e+00   1.342292501   0.733546817
## May 2019 411.1782  0.19255747  3.242337e+00   2.643356156   1.367414069
## Jun 2019 411.6424  0.19595043  2.390392e+00   3.293650235   2.609503530
## Jul 2019 411.9108  0.19685562  4.731467e-01   2.404081666   3.284618791
## Aug 2019 411.8456  0.19358261 -1.645705e+00   0.423648421   2.436738068
## Sep 2019 412.0207  0.19335158 -3.347934e+00  -1.649198844   0.425953502
## Oct 2019 412.2680  0.19402496 -3.295827e+00  -3.337750371  -1.655917445
## Nov 2019 412.3185  0.19223262 -1.932541e+00  -3.322932918  -3.319867673
## Dec 2019 412.5627  0.19288133 -8.661535e-01  -1.922730951  -3.329405195
## Jan 2020 412.9246  0.19499273  2.264278e-01  -0.834222737  -1.943797224
## Feb 2020 413.3909  0.19838207  7.278899e-01   0.277684401  -0.868039704
## Mar 2020 413.7136  0.19993563  1.356767e+00   0.751384226   0.262183837
## Apr 2020 413.6970  0.19723026  2.616097e+00   1.315853505   0.778376769
## May 2020 413.9603  0.19805558  3.289162e+00   2.628578564   1.307619039
## Jun 2020 414.1772  0.19829133  2.436421e+00   3.292727021   2.626226416
## Jul 2020 414.3547  0.19803151  4.259580e-01   2.432492098   3.295319350
## Aug 2020 414.4287  0.19648209 -1.649358e+00   0.402526746   2.447951274
## Sep 2020 414.6071  0.19625536 -3.321872e+00  -1.652786903   0.404788899
## Oct 2020 414.9361  0.19791391 -3.339294e+00  -3.296790659  -1.669334734
## Nov 2020 415.0680  0.19708945 -1.948723e+00  -3.351762345  -3.288564861
## Dec 2020 415.2532  0.19694066 -8.693408e-01  -1.950973535  -3.350277846
## Jan 2021 415.3550  0.19575295  2.699082e-01  -0.887301842  -1.939123387
## Feb 2021 415.4674  0.19471106  7.795583e-01   0.254152349  -0.876906498
## Mar 2021 415.9545  0.19836341  1.298397e+00   0.834790409   0.217711434
## Apr 2021 416.3736  0.20112076  2.620071e+00   1.340094920   0.807279488
## May 2021 416.5848  0.20124715  3.297533e+00   2.621981932   1.338833869
## Jun 2021 416.2963  0.19512974  2.463176e+00   3.205023471   2.683016728
## Jul 2021 416.5968  0.19644598  3.995320e-01   2.483079845   3.191891021
## Aug 2021 416.7337  0.19570191 -1.665781e+00   0.388280135   2.490503662
## Sep 2021 416.5290  0.19069928 -3.275118e+00  -1.741431337   0.438193147
## Oct 2021 416.7235  0.19074679 -3.347769e+00  -3.274399428  -1.741905386
## Nov 2021 417.2383  0.19479482 -1.949486e+00  -3.286553679  -3.314787436
## Dec 2021 417.2360  0.19233364 -8.792111e-01  -1.986703899  -3.261998014
## Jan 2022 417.6219  0.19475161  2.073644e-01  -0.842646762  -2.010828583
## Feb 2022 418.0025  0.19707332  8.037873e-01   0.242472932  -0.865811212
## Mar 2022 418.4676  0.20042168  1.341342e+00   0.854420761   0.209065196
## Apr 2022 418.0197  0.19232268  2.701638e+00   1.218869518   0.935226656
## May 2022 417.8836  0.18822003  3.206821e+00   2.639597644   1.259802415
## Jun 2022 417.9974  0.18728994  2.502282e+00   3.192756609   2.648877285
## Jul 2022 418.4568  0.19068948  4.278228e-01   2.553688576   3.158838616
## Aug 2022 418.6261  0.19042191 -1.748613e+00   0.423776696   2.556358242
## Sep 2022 418.9850  0.19252590 -3.317027e+00  -1.716797034   0.402784492
## Oct 2022 419.3271  0.19439493 -3.272698e+00  -3.288763886  -1.735444753
## Nov 2022 419.3272  0.19196755 -2.009602e+00  -3.309403984  -3.264545519
## Dec 2022 419.6134  0.19314441 -8.703529e-01  -1.991806089  -3.321145714
## Jan 2023 419.9592  0.19505147  2.214008e-01  -0.841515275  -2.010833265
## Feb 2023 419.7150  0.18956539  9.565708e-01   0.138443524  -0.786779096
## Mar 2023 419.6811  0.18677341  1.267512e+00   0.914352227   0.166299868
## Apr 2023 419.8935  0.18709286  2.641779e+00   1.272342976   0.911165030
## May 2023 420.5594  0.19307467  3.142977e+00   2.732232329   1.212661532
## Jun 2023 420.9364  0.19537260  2.545240e+00   3.177724658   2.709305503
## Jul 2023 421.2544  0.19690396  3.960926e-01   2.568395901   3.162446044
## Aug 2023 421.5622  0.19829008 -1.735049e+00   0.417052425   2.554566193
## Sep 2023 421.6696  0.19715364 -3.264033e+00  -1.752233525   0.428390981
## Oct 2023 421.9313  0.19796027 -3.323652e+00  -3.251835754  -1.760281440
## Nov 2023 422.2605  0.19959994 -2.003624e+00  -3.298858058  -3.268194909
## Dec 2023 422.5856  0.20116824 -7.866986e-01  -1.979909342  -3.314505163
## Jan 2024 422.8245  0.20163966  1.611140e-01  -0.779570276  -1.984612765
## Feb 2024 422.9114  0.20020620  9.021414e-01   0.139438761  -0.765268382
## Mar 2024 423.5668  0.20589200  1.193293e+00   0.988116214   0.082710260
## Apr 2024 424.1558  0.21067827  2.693194e+00   1.265666014   0.940362765
## May 2024 424.1570  0.20806075  3.166279e+00   2.653614718   1.291781283
## Jun 2024 424.1034  0.20479290  2.564647e+00   3.116866203   2.686218428
## Jul 2024 424.4577  0.20666068  4.216233e-01   2.592889252   3.098231129
## Aug 2024 425.0789  0.21183850 -1.777422e+00   0.499916090   2.541229005
## Sep 2024 425.0982  0.20943367 -3.265967e+00  -1.813784789   0.523909645
## Oct 2024 425.4299  0.21096040 -3.319222e+00  -3.242881635  -1.829017242
## Nov 2024 425.8073  0.21304000 -1.990487e+00  -3.287777226  -3.263629978
## Dec 2024 426.0409  0.21329617 -7.786664e-01  -1.986612912  -3.290333128
## Jan 2025 426.3393  0.21436021  7.257253e-02  -0.762577497  -1.997228920
## Feb 2025 426.7008  0.21619856  9.417133e-01   0.100369503  -0.780919081
## Mar 2025 426.5755  0.21193232  1.307033e+00   0.877205262   0.142934570
## Apr 2025 426.9528  0.21399715  2.675758e+00   1.338254221   0.856604155
## May 2025 427.1739  0.21408585  3.088927e+00   2.677099117   1.337369299
## Jun 2025 427.5407  0.21599461  2.539875e+00   3.117789004   2.658055271
## Jul 2025 427.4659  0.21236110  5.289179e-01   2.484934688   3.154040967
## Aug 2025 427.6011  0.21139766 -1.830397e+00   0.514350291   2.494547072
## Sep 2025 427.6328  0.20915315 -3.258920e+00  -1.864334477   0.536744167
##             sea_dummy4    sea_dummy5    sea_dummy6    sea_dummy7    sea_dummy8
## Mar 1958   0.000000000   0.000000000   0.000000000   0.000000000   0.000000000
## Apr 1958   0.000000000   0.000000000   0.000000000   0.000000000   0.000000000
## May 1958 -24.419230769 -24.419230769 -24.419230769 -24.419230769 -24.419230769
## Jun 1958 126.048000000 -21.135777778 -21.135777778 -21.135777778 -21.135777778
## Jul 1958  71.465744681 124.002978723 -21.931063830 -21.931063830 -21.931063830
## Aug 1958  32.764369748  75.728343337 117.012316927 -22.868835534 -22.868835534
## Sep 1958   7.445334572  41.666189591  75.587044610 107.827899628 -23.622428748
## Oct 1958  -9.878625044  18.563335672  45.845296387  72.827257103  98.129217818
## Nov 1958 -21.059455319   1.720731915  24.960919149  47.041106383  68.821293617
## Dec 1958 -29.765439313 -10.048647323   8.888144667  28.284936657  46.521728647
## Jan 1959 -35.561885589 -19.658354892  -2.824824194  13.228706504  29.742237202
## Feb 1959 -38.283135930 -26.309045394 -12.634954858   1.969135678  15.793226214
## Mar 1959 -39.653295455 -29.863782468 -19.644269481  -7.724756494   5.124756494
## Apr 1959  -0.142500000  -0.974166667  -2.235833333  -3.067500000  -2.199166667
## May 1959   0.831713748  -0.027954685  -0.887601843  -2.177227726  -3.036832334
## Jun 1959   0.809363006   0.791576055  -0.058486188  -0.908541047  -2.188588523
## Jul 1959   2.114607245   0.788100070   0.772903588  -0.071157921  -0.915222688
## Aug 1959   2.392565302   2.129683213   0.799320441   0.780951172  -0.067025419
## Sep 1959   2.255220275   2.485394573   2.199264987   0.845578271   0.805098030
## Oct 1959   0.650637855   2.204191301   2.447066934   2.173691078   0.832765119
## Nov 1959  -0.815036465   0.601608308   2.167351707   2.422467526   2.161340732
## Dec 1959  -2.305034356  -0.894248104   0.542093402   2.127614705   2.402522790
## Jan 1960  -3.001009806  -2.269760418  -0.867748442   0.559782634   2.136487096
## Feb 1960  -1.847573814  -2.981657952  -2.255223652  -0.858046601   0.564646029
## Mar 1960  -0.815024800  -1.801579028  -2.947109493  -2.232168668  -0.846493465
## Apr 1960  -0.045114264  -0.860795360  -1.835092028  -2.968319739  -2.241066440
## May 1960   0.587810462  -0.060277303  -0.872249882  -1.842819765  -2.972319750
## Jun 1960   0.803041335   0.529430633  -0.104636558  -0.902304652  -1.858568121
## Jul 1960   2.113001053   0.803174185   0.529538634  -0.104563763  -0.902267238
## Aug 1960   2.586157394   2.106304324   0.798136053   0.526060172  -0.106327600
## Sep 1960   2.280367529   2.650642107   2.154934790   0.830675363   0.542652890
## Oct 1960   0.823836294   2.332470739   2.689956468   2.181261920   0.843960452
## Nov 1960  -0.923994981   0.818886788   2.328736808   2.687456969   2.180001787
## Dec 1960  -2.448854496  -0.923869051   0.818981761   2.328800343   2.687488940
## Jan 1961  -3.061452252  -2.459259469  -0.931713952   0.813736626   2.326165408
## Feb 1961  -1.930094620  -3.051755136  -2.451949869  -0.926828873   0.816187453
## Mar 1961  -0.895562895  -1.932859400  -3.053837950  -2.453340170  -0.927523881
## Apr 1961  -0.189729617  -0.933335584  -1.960853379  -3.071914159  -2.461460201
## May 1961   0.510164545  -0.170820174  -0.919012600  -1.951205266  -3.066960009
## Jun 1961   0.946490498   0.486226181  -0.189093437  -0.931352122  -1.957580986
## Jul 1961   2.141139020   0.965228444   0.501128160  -0.179053390  -0.926239000
## Aug 1961   2.809691250   2.135710073   0.961108665   0.498316204  -0.180473659
## Sep 1961   2.280437928   2.812210193   2.137623184   0.962395069   0.498967205
## Oct 1961   0.868268729   2.299350934   2.826572819   2.147279584   0.967291851
## Nov 1961  -0.949327909   0.829494264   2.269920346   2.806805831   2.137275958
## Dec 1961  -2.593438826  -0.942725463   0.834503105   2.273281066   2.808501432
## Jan 1962  -2.924878305  -2.580409704  -0.932845274   0.841126709   2.276614439
## Feb 1962  -1.941217563  -2.926254807  -2.581453155  -0.933544298   0.840775672
## Mar 1962  -0.950886789  -1.934478573  -2.921151771  -2.578041733  -0.931841940
## Apr 1962  -0.200943487  -0.981310021  -1.957256078  -2.936039214  -2.584960939
## May 1962   0.424753798  -0.193176619  -0.975393982  -1.953268396  -2.934001377
## Jun 1962   1.081464679   0.440740598  -0.180881326  -0.967088408  -1.949007587
## Jul 1962   2.163722580   1.084339473   0.443012015  -0.179347706  -0.966310721
## Aug 1962   2.756149827   2.149725156   1.073619472   0.435721065  -0.183024705
## Sep 1962   2.254137006   2.772027515   2.161887462   1.081840859   0.439868969
## Oct 1962   0.906366446   2.242805595   2.763352317   2.156025695   1.078855705
## Nov 1962  -0.996220194   0.924650772   2.256793227   2.772789574   2.160820392
## Dec 1962  -2.509053942  -0.998237416   0.923108631   2.255754203   2.772263815
## Jan 1963  -3.005369964  -2.508341241  -0.997692867   0.923475115   2.255939027
## Feb 1963  -1.956528018  -3.012730475  -2.513962269  -1.001472000   0.921575075
## Mar 1963  -0.980754333  -1.944191689  -3.003322958  -2.507655057  -0.998327517
## Apr 1963  -0.131487780  -0.979337835  -1.943120283  -3.002615908  -2.507319457
## May 1963   0.379436710  -0.145528615  -0.990115802  -1.950403703  -3.006328059
## Jun 1963   1.028938575   0.368119415  -0.154312165  -0.996065990  -1.953444662
## Jul 1963   2.189798060   1.035316162   0.373159699  -0.150895497  -0.994336644
## Aug 1963   2.860744321   2.208908175   1.050093040   0.383216367  -0.145824901
## Sep 1963   2.302269279   2.871764142   2.217429252   1.055888131   0.386138240
## Oct 1963   0.888736225   2.309990272   2.877729363   2.221484797   1.057961707
## Nov 1963  -1.037079462   0.884271746   2.306544417   2.875391016   2.220291822
## Dec 1963  -2.572934670  -1.037420224   0.884008953   2.306366392   2.875300633
## Jan 1964  -3.022730839  -2.581510512  -1.044029312   0.879537870   2.304105889
## Feb 1964  -2.005010065  -3.036338443  -2.591990246  -1.051109348   0.875972901
## Mar 1964  -0.996012719  -2.005767773  -3.036920999  -2.592382530  -1.051304930
## Apr 1964  -0.083381812  -0.995279977  -2.005207765  -3.036548097  -2.592202893
## May 1964   0.411499139  -0.078847826  -0.991768653  -2.002824697  -3.035334845
## Jun 1964   1.094226429   0.422153796  -0.070499411  -0.986085818  -1.999925073
## Jul 1964   2.238510909   1.093844399   0.421850860  -0.070705901  -0.986190310
## Aug 1964   2.828578077   2.240675353   1.095533705   0.423004580  -0.070123757
## Sep 1964   2.301942451   2.826257323   2.238863898   1.094293168   0.422378455
## Oct 1964   0.865470741   2.315347361   2.836709372   2.246021715   1.097967524
## Nov 1964  -1.021084599   0.855371520   2.307482174   2.831334649   2.243267291
## Dec 1964  -2.684875934  -1.017059998   0.858502738   2.309617600   2.832422952
## Jan 1965  -2.974506279  -2.681863369  -1.014718077   0.860097256   2.310426189
## Feb 1965  -2.006555440  -2.966440271  -2.675598371  -1.010459704   0.862245633
## Mar 1965  -0.989771644  -2.016164504  -2.973889936  -2.680643983  -1.012978009
## Apr 1965  -0.134282741  -0.985506599  -2.012872301  -2.971677705  -2.679565997
## May 1965   0.477552173  -0.133772383  -0.985107841  -2.012600090  -2.971539088
## Jun 1965   1.092943161   0.493167892  -0.121428277  -0.976650817  -2.008284859
## Jul 1965   2.293626315   1.094752377   0.494608622  -0.120439538  -0.976149918
## Aug 1965   2.732495064   2.276259662   1.081087241   0.485224144  -0.125182680
## Sep 1965   2.247333318   2.738425369   2.280927487   1.084308561   0.486853875
## Oct 1965   0.949327555   2.236481004   2.729893612   2.275036914   1.081272217
## Nov 1965  -1.084761191   0.951951769   2.238541240   2.731312748   2.275767728
## Dec 1965  -2.619955981  -1.096825250   0.942491264   2.232039600   2.727984819
## Jan 1966  -3.009080895  -2.611739166  -1.090387857   0.946906834   2.234286690
## Feb 1966  -1.909705216  -3.012643290  -2.614527199  -1.092296364   0.945941584
## Mar 1966  -1.040650504  -1.918711373  -3.019678044  -2.619325021  -1.094696008
## Apr 1966  -0.135264888  -1.047346363  -1.923925148  -3.023214407  -2.621064828
## May 1966   0.509504700  -0.138747628  -1.050088725  -1.925810399  -3.024175721
## Jun 1966   1.110973489   0.511339214  -0.137287083  -1.049080480  -1.925295240
## Jul 1966   2.308149118   1.109633074   0.510267980  -0.138027908  -1.049456617
## Aug 1966   2.726909471   2.310854517   1.111775040   0.511749116  -0.137277413
## Sep 1966   2.263984053   2.728725744   2.312293435   1.112776164   0.512257344
## Oct 1966   0.946897380   2.270076886   2.733546580   2.315650873   1.114514277
## Nov 1966  -1.072834927   0.953475558   2.275273663   2.737157084   2.317519790
## Dec 1966  -2.646679050  -1.081105617   0.946950158   2.270751667   2.734831311
## Jan 1967  -3.111910676  -2.656192027  -1.088602919   0.941766020   2.268102835
## Feb 1967  -1.930814632  -3.122281182  -2.664355284  -1.094234306   0.938909265
## Mar 1967  -1.028475829  -1.923226116  -3.116319600  -2.660257870  -1.092178832
## Apr 1967  -0.034593858  -1.022362806  -1.918434225  -3.113038382  -2.658629879
## May 1967   0.498442337  -0.034723854  -1.022465757  -1.918505551  -3.113074836
## Jun 1967   1.088850209   0.496264408  -0.036465889  -1.023678236  -1.919126560
## Jul 1967   2.323707637   1.097399817   0.503109671  -0.031693488  -1.021247644
## Aug 1967   2.792387012   2.332452675   1.104348511   0.507951077  -0.029232370
## Sep 1967   2.236515821   2.789326649   2.330018641   1.102641083   0.507080654
## Oct 1967   0.869086010   2.238208880   2.790671483   2.330963484   1.103132406
## Nov 1967  -1.080111357   0.860173051   2.231141247   2.785718019   2.328385706
## Dec 1967  -2.726895506  -1.085052432   0.856260662   2.228406823   2.784304423
## Jan 1968  -3.086526138  -2.733464438  -1.090247283   0.852638859   2.226548164
## Feb 1968  -1.908718494  -3.080863109  -2.728992123  -1.087137448   0.854221919
## Mar 1968  -0.941363471  -1.905958104  -3.078687386  -2.727484689  -1.086378443
## Apr 1968  -0.050294335  -0.941852421  -1.906342931  -3.078953370  -2.727617679
## May 1968   0.500527663  -0.047714583  -0.939803115  -1.904911687  -3.078219645
## Jun 1968   1.119898499   0.501052424  -0.047294162  -0.939508057  -1.904760082
## Jul 1968   2.302498966   1.115529270   0.497556319  -0.049751253  -0.940764109
## Aug 1968   2.752646585   2.299398168   1.113063974   0.495825446  -0.050634439
## Sep 1968   2.245042378   2.754077970   2.300537603   1.113869589   0.496238040
## Oct 1968   0.887592903   2.249020277   2.757240571   2.302778324   1.115039997
## Nov 1968  -1.079554712   0.885848329   2.247635844   2.756262015   2.302266371
## Dec 1968  -2.758852776  -1.077593787   0.887401937   2.248730696   2.756830979
## Jan 1969  -3.063398109  -2.766692739  -1.083796524   0.883042750   2.246483460
## Feb 1969  -1.969631664  -3.068929472  -2.771062353  -1.086858517   0.881478211
## Mar 1969  -0.905614417  -1.968301041  -3.067880319  -2.770329720  -1.086488101
## Apr 1969  -0.017251336  -0.913521190  -1.974529867  -3.072223834  -2.772516918
## May 1969   0.451507339  -0.016707946  -0.913089564  -1.974226055  -3.072067537
## Jun 1969   1.183141684   0.448997351  -0.018715475  -0.914509663  -1.974958400
## Jul 1969   2.289974777   1.185564334   0.450929149  -0.017347537  -0.913807550
## Aug 1969   2.788894540   2.284316946   1.181077964   0.447756411  -0.018972918
## Sep 1969   2.201796083   2.791365582   2.286279246   1.182475356   0.448475484
## Oct 1969   0.942270050   2.198158754   2.788480530   2.284219468   1.181394813
## Nov 1969  -1.124377414   0.946242783   2.201303562   2.790720706   2.285397451
## Dec 1969  -2.710412474  -1.121215758   0.948741078   2.203077569   2.791647328
## Jan 1970  -3.091063901  -2.710991223  -1.121672360   0.948417828   2.202910179
## Feb 1970  -2.000222565  -3.091032837  -2.710966756  -1.121655093   0.948426684
## Mar 1970  -0.916984981  -2.005728736  -3.095361836  -2.714011738  -1.123201275
## Apr 1970  -0.059020493  -0.920987982  -2.008874654  -3.097573203  -2.715132553
## May 1970   0.468888360  -0.060651830  -0.922279344  -2.009790135  -3.098045936
## Jun 1970   1.215437534   0.476842379  -0.054322555  -0.917770283  -2.007455886
## Jul 1970   2.350771558   1.217262124   0.478287820  -0.053292209  -0.917239280
## Aug 1970   2.738486163   2.353328125   1.219277331   0.479722095  -0.052554507
## Sep 1970   2.206005105   2.735087076   2.350644392   1.217354415   0.478728060
## Oct 1970   0.901523237   2.205482621   2.734675004   2.350348259   1.217198448
## Nov 1970  -1.103564238   0.897988569   2.202700802   2.732680052   2.349294313
## Dec 1970  -2.736549922  -1.102101319   0.899137647   2.203522120   2.733111103
## Jan 1971  -3.053868504  -2.735257634  -1.101088032   0.899859539   2.203897520
## Feb 1971  -2.015792303  -3.054642896  -2.735863766  -1.101518418   0.899637983
## Mar 1971  -0.927982678  -2.014966851  -3.053997918  -2.735407236  -1.101285620
## Apr 1971  -0.030794707  -0.923408520  -2.011392932  -3.051468409  -2.734117634
## May 1971   0.512515832  -0.021379246  -0.916006115  -2.006112936  -3.048731881
## Jun 1971   1.223923221   0.507666998  -0.025204929  -0.918747759  -2.007537541
## Jul 1971   2.224383925   1.220706224   0.505142857  -0.027013973  -0.919683694
## Aug 1971   2.762659295   2.222980454   1.219610054   0.504358613  -0.027418845
## Sep 1971   2.213668016   2.762256521   2.222665319   1.219383158   0.504240832
## Oct 1971   0.915161235   2.219614947   2.766904784   2.226023170   1.221157784
## Nov 1971  -1.062247435   0.912321036   2.217399922   2.765307732   2.225175992
## Dec 1971  -2.814736649  -1.064974311   0.910198933   2.215875128   2.764504087
## Jan 1972  -3.032755093  -2.816317476  -1.066202186   0.909319771   2.215416219
## Feb 1972  -1.992462424  -3.030869076  -2.814855287  -1.065158923   0.909858616
## Mar 1972  -0.898337565  -1.994628859  -3.032545931  -2.816048170  -1.065769586
## Apr 1972  -0.049124366  -0.891343371  -1.989214013  -3.028692475  -2.814073469
## May 1972   0.565127898  -0.056571445  -0.897138969  -1.993367889  -3.030852712
## Jun 1972   1.097048493   0.565057446  -0.056626381  -0.897178517  -1.993388509
## Jul 1972   2.320858654   1.102699181   0.569435661  -0.053476010  -0.895542993
## Aug 1972   2.794738348   2.321166322   1.102936552   0.569606131  -0.053387716
## Sep 1972   2.152934165   2.792782020   2.319654268   1.101844187   0.569037071
## Oct 1972   0.895450903   2.150035879   2.790543969   2.318031616   1.100984203
## Nov 1972  -1.077461874   0.888953761   2.145030477   2.786921123   2.316103398
## Dec 1972  -2.841756605  -1.081946753   0.885506619   2.142544307   2.785606140
## Jan 1973  -2.994619102  -2.842019929  -1.082148725   0.885361497   2.142468316
## Feb 1973  -1.950721444  -2.995439527  -2.842647972  -1.082598340   0.885128615
## Mar 1973  -0.903723176  -1.954429621  -2.998273851  -2.844671416  -1.083637709
## Apr 1973  -0.068679513  -0.906409275  -1.956483602  -2.999741261  -2.845426657
## May 1973   0.595045108  -0.068574638  -0.906328738  -1.956425686  -2.999711053
## Jun 1973   1.122043586   0.590857379  -0.071792198  -0.908651736  -1.957640389
## Jul 1973   2.277227187   1.118961752   0.588506021  -0.073488183  -0.909534729
## Aug 1973   2.813977317   2.276432625   1.118357949   0.588071436  -0.073713869
## Sep 1973   2.164273743   2.810580567   2.273846744   1.116486469   0.587093770
## Oct 1973   0.867682120   2.164184165   2.810512430   2.273797244   1.116460181
## Nov 1973  -1.035342887   0.870424249   2.166264913   2.812021741   2.274602572
## Dec 1973  -2.818923327  -1.032668751   0.872448328   2.167727805   2.812797608
## Jan 1974  -2.994468703  -2.811341839  -1.026943222   0.876570033   2.169891316
## Feb 1974  -1.915520486  -2.989334792  -2.807472612  -1.024168353   0.878010437
## Mar 1974  -0.966185195  -1.919560977  -2.992375654  -2.809647713  -1.025288686
## Apr 1974  -0.167028402  -0.969496140  -1.922054189  -2.994160801  -2.810569673
## May 1974   0.609379488  -0.167371527  -0.969755390  -1.922240934  -2.994258434
## Jun 1974   1.142313392   0.610177347  -0.166769170  -0.969319972  -1.922012742
## Jul 1974   2.287104271   1.146716918   0.613477248  -0.164387329  -0.968077246
## Aug 1974   2.843371482   2.288157163   1.147502932   0.614043286  -0.164092818
## Sep 1974   2.128780981   2.844659321   2.289120248   1.148200028   0.614408162
## Oct 1974   0.885503863   2.130390256   2.845861874   2.289994080   1.148664671
## Nov 1974  -1.029378721   0.885679904   2.130521475   2.845957099   2.290044971
## Dec 1974  -2.828835153  -1.028167332   0.886580439   2.131172582   2.846303061
## Jan 1975  -2.989869294  -2.830484987  -1.029390819   0.885699507   2.130709430
## Feb 1975  -1.959473730  -2.992957224  -2.832770125  -1.031029772   0.884847513
## Mar 1975  -0.972072799  -1.959447646  -2.992937947  -2.832756333  -1.031022654
## Apr 1975  -0.124646861  -0.970710521  -1.958440189  -2.992216271  -2.832382666
## May 1975   0.623280292  -0.123596994  -0.969932140  -1.957879508  -2.991922658
## Jun 1975   1.139423412   0.621911188  -0.124610122  -0.970664102  -1.958263683
## Jul 1975   2.265222836   1.137981119   0.620852106  -0.125373785  -0.971063074
## Aug 1975   2.857885976   2.267195393   1.139424312   0.621890192  -0.124833080
## Sep 1975   2.169655788   2.860356819   2.269006165   1.140732912   0.622575858
## Oct 1975   0.874610273   2.168385642   2.859426636   2.268331266   1.140373920
## Nov 1975  -1.072210585   0.874515179   2.168316181   2.859376294   2.268304345
## Dec 1975  -2.809857584  -1.071385349   0.875116245   2.168750173   2.859607103
## Jan 1976  -2.992278454  -2.812331229  -1.073182364   0.873824359   2.168070462
## Feb 1976  -1.992783535  -2.991992079  -2.812123636  -1.073033716   0.873901681
## Mar 1976  -0.938456938  -1.995597531  -2.994029499  -2.813579196  -1.073785778
## Apr 1976  -0.160992446  -0.939720820  -1.996513252  -2.994684606  -2.813918936
## May 1976   0.647959771  -0.162815584  -0.941044073  -1.997464746  -2.995183297
## Jun 1976   1.148088037   0.653027074  -0.159148270  -0.938400546  -1.996076360
## Jul 1976   2.348520571   1.151328955   0.655354179  -0.157474873  -0.937525885
## Aug 1976   2.812792054   2.347115776   1.150323774   0.654633233  -0.157850467
## Sep 1976   2.126778420   2.816518659   2.349786479   1.152247520   0.655641318
## Oct 1976   0.938765983   2.128805450   2.817970393   2.350836380   1.152805679
## Nov 1976  -1.111207481   0.940640239   2.130144195   2.818937660   2.351353503
## Dec 1976  -2.826052828  -1.113406436   0.939074338   2.129017065   2.818338252
## Jan 1977  -3.049990433  -2.829561404  -1.115898043   0.937288956   2.128077870
## Feb 1977  -2.002693392  -3.052947344  -2.831656624  -1.117393326   0.936511318
## Mar 1977  -0.916374892  -2.000534890  -3.051419534  -2.830568619  -1.116831028
## Apr 1977  -0.119063678  -0.925140705  -2.006743743  -3.055847764  -2.832866541
## May 1977   0.530255559  -0.121745494  -0.927042291  -2.008106342  -3.056561918
## Jun 1977   1.258627079   0.527568047  -0.123644087  -0.928405382  -2.008822089
## Jul 1977   2.350534084   1.258871723   0.527739507  -0.123521338  -0.928341251
## Aug 1977   2.864573506   2.352096455   1.259963046   0.528518665  -0.123115700
## Sep 1977   2.147394601   2.868029435   2.354513955   1.261695830   0.529425904
## Oct 1977   0.949677330   2.146049855   2.867089345   2.353837434   1.261336693
## Nov 1977  -1.182275041   0.948147949   2.144983611   2.866322651   2.353428058
## Dec 1977  -2.822594233  -1.183150301   0.947539695   2.144547900   2.866091176
## Jan 1978  -3.046802514  -2.822638488  -1.183180966   0.947517831   2.144536411
## Feb 1978  -2.007529704  -3.050119168  -2.824931520  -1.184809207   0.946671977
## Mar 1978  -0.958591694  -2.005614346  -3.048796262  -2.823994032  -1.184325016
## Apr 1978  -0.057923285  -0.962069656  -2.008018135  -3.050502486  -2.824879119
## May 1978   0.457459380  -0.058140955  -0.962220168  -2.008125428  -3.050558670
## Jun 1978   1.324148936   0.459506587  -0.056731545  -0.961214043  -2.007597707
## Jul 1978   2.363688909   1.320525668   0.457031863  -0.058492425  -0.962132780
## Aug 1978   2.799019721   2.365188494   1.321546586   0.457756232  -0.058115921
## Sep 1978   2.227656350   2.800052504   2.365892554   1.322047932   0.458018247
## Oct 1978   0.935025995   2.231798905   2.802874810   2.367910205   1.323116491
## Nov 1978  -1.152768564   0.935098069   2.231847872   2.802909792   2.367928843
## Dec 1978  -2.892409633  -1.154052535   0.934228684   2.231229138   2.802581737
## Jan 1979  -3.058042943  -2.892983953  -1.154440224   0.933954088   2.231085139
## Feb 1979  -1.999357987  -3.059880378  -2.894221495  -1.155313131   0.933501527
## Mar 1979  -0.978106489  -1.999616755  -3.060054506  -2.894344087  -1.155376346
## Apr 1979  -0.042778167  -0.982575584  -2.002625957  -3.062176688  -2.895443477
## May 1979   0.416498075  -0.040338791  -0.980933207  -2.001463158  -3.061568876
## Jun 1979   1.429082562   0.418362459  -0.039089682  -0.980048047  -2.000999824
## Jul 1979   2.332407995   1.426394776   0.416575804  -0.040351198  -0.980704739
## Aug 1979   2.754754411   2.334897514   1.428044471   0.417737185  -0.039749085
## Sep 1979   2.310178547   2.754647249   2.334826416   1.427994254   0.417711012
## Oct 1979   0.884277104   2.310850296   2.755092662   2.335142237   1.428160968
## Nov 1979  -1.145345557   0.882248715   2.309509183   2.754142266   2.334637494
## Dec 1979  -2.931170126  -1.145621471   0.882066929   2.309380853   2.754074426
## Jan 1980  -3.034570617  -2.933742275  -1.147310741   0.880880251   2.308760405
## Feb 1980  -2.034243567  -3.035910384  -2.934620175  -1.147924870   0.880562780
## Mar 1980  -0.950452421  -2.033897851  -3.035684033  -2.934462109  -1.147843568
## Apr 1980  -0.027524667  -0.954458156  -2.036522036  -3.037519778  -2.935410912
## May 1980   0.363318324  -0.028090074  -0.954828348  -2.036781927  -3.037655261
## Jun 1980   1.493772494   0.363230434  -0.028147314  -0.954868549  -2.036802908
## Jul 1980   2.331051225   1.492140971   0.362176098  -0.028884888  -0.955251265
## Aug 1980   2.745009857   2.334301627   1.494235139   0.363636642  -0.028130304
## Sep 1980   2.378888797   2.745441011   2.334579717   1.494429669   0.363737652
## Oct 1980   0.820545889   2.377307644   2.744421801   2.333864051   1.494053459
## Nov 1980  -1.164916819   0.820667392   2.377385738   2.744476611   2.333893041
## Dec 1980  -2.905445598  -1.165152224   0.820516643   2.377280343   2.744421112
## Jan 1981  -3.044687765  -2.904223102  -1.164371941   0.821059438   2.377563033
## Feb 1981  -2.016239635  -3.043949017  -2.903752653  -1.164046056   0.821227259
## Mar 1981  -0.980529720  -2.020898550  -3.046913741  -2.905803003  -1.165097014
## Apr 1981  -0.095458761  -0.981369638  -2.021433305  -3.047284235  -2.905993864
## May 1981   0.439111793  -0.095805496  -0.981590178  -2.021586596  -3.047363857
## Jun 1981   1.493676420   0.439537429  -0.095536294  -0.981403077  -2.021489324
## Jul 1981   2.348849152   1.495415037   0.440628725  -0.094781034  -0.981012808
## Aug 1981   2.765140666   2.351283791   1.496938760   0.441679955  -0.094240309
## Sep 1981   2.387452864   2.769012666   2.353709479   1.498616836   0.442547255
## Oct 1981   0.830180892   2.388313958   2.769551786   2.354083815   1.498812621
## Nov 1981  -1.222831722   0.829601589   2.387952334   2.769300792   2.353951724
## Dec 1981  -2.927729470  -1.225565434   0.827901530   2.386776957   2.768684854
## Jan 1982  -3.076438732  -2.929949525  -1.226941361   0.826955113   2.386286438
## Feb 1982  -2.003768351  -3.077422340  -2.930557754  -1.227357957   0.826741595
## Mar 1982  -0.963406345  -2.005250885  -3.078338491  -2.931184302  -1.227677694
## Apr 1982  -0.098173006  -0.963059783  -2.005036632  -3.078191696  -2.931109002
## May 1982   0.471301441  -0.099309899  -0.963761695  -2.005518943  -3.078441079
## Jun 1982   1.470098624   0.469130465  -0.100642404  -0.964676838  -2.005992429
## Jul 1982   2.358324458   1.473019370   0.470909909  -0.099425818  -0.964051375
## Aug 1982   2.849135723   2.359641587   1.473819563   0.471455236  -0.099146808
## Sep 1982   2.345731283   2.851054519   2.360808335   1.474616677   0.471864925
## Oct 1982   0.841234877   2.348145831   2.852521804   2.361814353   1.475139713
## Nov 1982  -1.229102860   0.841694751   2.348424455   2.852712772   2.361914258
## Dec 1982  -2.965325401  -1.228068108   0.842319243   2.348850805   2.852934903
## Jan 1983  -3.071041082  -2.966063740  -1.228512155   0.842017664   2.348695400
## Feb 1983  -2.034424209  -3.070277301  -2.965605428  -1.228202207   0.842175622
## Mar 1983  -0.945822790  -2.037286419  -3.071993794  -2.966764618  -1.228790590
## Apr 1983  -0.149199905  -0.943887524  -2.036125421  -3.071208294  -2.966363788
## May 1983   0.541048473  -0.154494994  -0.947058889  -2.038276666  -3.072314523
## Jun 1983   1.351423944   0.538082827  -0.156260532  -0.948255393  -2.038892176
## Jul 1983   2.431621826   1.350274750   0.537403600  -0.156718657  -0.948489505
## Aug 1983   2.882112829   2.431512127   1.350210088   0.537360130  -0.156740759
## Sep 1983   2.360914349   2.881260406   2.431009282   1.349871274   0.537187123
## Oct 1983   0.837954856   2.363068772   2.882530495   2.431868010   1.350314678
## Nov 1983  -1.179187424   0.838498988   2.363388584   2.882746657   2.431980322
## Dec 1983  -3.005468682  -1.179644479   0.838231422   2.363208449   2.882653435
## Jan 1984  -3.086278124  -3.006833742  -1.180440757   0.837698176   2.362935505
## Feb 1984  -2.049540638  -3.087398762  -3.007485982  -1.180875691   0.837477984
## Mar 1984  -0.937196542  -2.049370039  -3.087299520  -3.007419892  -1.180842356
## Apr 1984  -0.133175025  -0.936111528  -2.048738691  -3.086878291  -3.007206274
## May 1984   0.538600326  -0.135589892  -0.937514005  -2.049676571  -3.087357478
## Jun 1984   1.296891966   0.538632093  -0.135571555  -0.937501759  -2.049670314
## Jul 1984   2.489727504   1.298139638   0.539347261  -0.135096311  -0.937260586
## Aug 1984   2.892507353   2.490037594   1.298316916   0.539464672  -0.135037043
## Sep 1984   2.344057330   2.893458979   2.490582012   1.298678231   0.539647799
## Oct 1984   0.856494813   2.346910357   2.895090114   2.491668142   1.299234710
## Nov 1984  -1.160878322   0.856319307   2.346810322   2.895023524   2.491633811
## Dec 1984  -3.072101106  -1.162659732   0.855308044   2.346139832   2.894679193
## Jan 1985  -3.109283694  -3.075383138  -1.164516121   0.854083831   2.345518002
## Feb 1985  -2.055907126  -3.108118930  -3.074725774  -1.164084457   0.854300720
## Mar 1985  -0.858934170  -2.056119061  -3.108238486  -3.074804186  -1.164123719
## Apr 1985  -0.183132269  -0.862483343  -2.058121583  -3.109554288  -3.075466686
## May 1985   0.504679174  -0.181442904  -0.861532190  -2.057495338  -3.109236683
## Jun 1985   1.399304818   0.504910812  -0.181313285  -0.861446993  -2.057452136
## Jul 1985   2.451307564   1.400476621   0.505562096  -0.180887415  -0.861232584
## Aug 1985   2.919655097   2.453844038   1.401882814   0.506478471  -0.180428608
## Sep 1985   2.356488331   2.919242522   2.453615172   1.401733387   0.506403369
## Oct 1985   0.796927541   2.356254368   2.919112823   2.453530221   1.401690239
## Nov 1985  -1.147989170   0.797944499   2.356816408   2.919480833   2.453718301
## Dec 1985  -3.060321082  -1.148708723   0.797548460   2.356558133   2.919349337
## Jan 1986  -3.145458318  -3.061040310  -1.149103135   0.797292648   2.356429312
## Feb 1986  -2.047718362  -3.144988074  -3.060782995  -1.148936951   0.797375436
## Mar 1986  -0.839024510  -2.046947571  -3.144566472  -3.060511016  -1.148801894
## Apr 1986  -0.177495621  -0.837417034  -2.046068230  -3.143998157  -3.060227205
## May 1986   0.509323005  -0.179227545  -0.838362276  -2.046680213  -3.144305939
## Jun 1986   1.340985791   0.508181685  -0.179846645  -0.838762284  -2.046881307
## Jul 1986   2.480629065   1.341060452   0.508221920  -0.179820788  -0.838749382
## Aug 1986   2.943985236   2.482213511   1.341912231   0.508767441  -0.179550143
## Sep 1986   2.379516576   2.945951697   2.483271221   1.342590805   0.509105311
## Oct 1986   0.776614611   2.374450765   2.943228764   2.481518994   1.341709354
## Nov 1986  -1.256142359   0.778172981   2.375285850   2.943765969   2.481790903
## Dec 1986  -2.918389914  -1.256376443   0.778048063   2.375205818   2.943725612
## Jan 1987  -3.199992915  -2.918158480  -1.256253394   0.778126463   2.375244920
## Feb 1987  -2.039855554  -3.202363154  -2.919416007  -1.257051230   0.777732769
## Mar 1987  -0.872180425  -2.037585880  -3.201159410  -2.918653093  -1.256675895
## Apr 1987  -0.087647535  -0.870890670  -2.036901821  -3.200725075  -2.918438177
## May 1987   0.465118760  -0.088893139  -0.871549705  -2.037320896  -3.200933871
## Jun 1987   1.298120250   0.463715056  -0.089631325  -0.872018004  -2.037554064
## Jul 1987   2.493922029   1.298199285   0.463756358  -0.089605268  -0.872005130
## Aug 1987   2.970701222   2.493435162   1.297945457   0.463596774  -0.089683642
## Sep 1987   2.361590936   2.971000779   2.493591409   1.298043845   0.463645258
## Oct 1987   0.794330351   2.361716220   2.971066082   2.493632650   1.298064372
## Nov 1987  -1.266031295   0.793243003   2.361151183   2.970709374   2.493454012
## Dec 1987  -2.938829480  -1.266854227   0.792817156   2.360883452   2.970575792
## Jan 1988  -3.187415539  -2.938691142  -1.266782905   0.792861746   2.360905457
## Feb 1988  -2.025085540  -3.188990821  -2.939501612  -1.267287467   0.792615379
## Mar 1988  -0.911712145  -2.028328571  -3.190658813  -2.940539027  -1.267792606
## Apr 1988  -0.102926900  -0.912166324  -2.028562162  -3.190804357  -2.940610311
## May 1988   0.528481701  -0.102258266  -0.911823308  -2.028348170  -3.190698844
## Jun 1988   1.307379203   0.528399137  -0.102300369  -0.911849505  -2.028361075
## Jul 1988   2.475653827   1.307285091   0.528351435  -0.102329882  -0.911863928
## Aug 1988   2.969088459   2.473824084   1.306359762   0.527780952  -0.102606949
## Sep 1988   2.338862680   2.970260164   2.474416875   1.306725751   0.527959269
## Oct 1988   0.854466066   2.339269435   2.970465807   2.474544192   1.306788393
## Nov 1988  -1.303208671   0.852028533   2.338040825   2.969705464   2.474167822
## Dec 1988  -2.982702418  -1.302983290   0.852141658   2.338110542   2.969739846
## Jan 1989  -3.126663987  -2.982313101  -1.302788602   0.852260964   2.338168737
## Feb 1989  -2.043840156  -3.129018449  -2.983488126  -1.303505643   0.851914881
## Mar 1989  -0.953567938  -2.042786278  -3.128492642  -2.983167546  -1.303351314
## Apr 1989  -0.023003494  -0.951785880  -2.041897246  -3.127949652  -2.982904591
## May 1989   0.519423532  -0.023969392  -0.952266487  -2.042191087  -3.128092885
## Jun 1989   1.258250738   0.520957295  -0.023210700  -0.951803985  -2.041965904
## Jul 1989   2.530426815   1.258943143   0.521297810  -0.023004312  -0.951704326
## Aug 1989   2.941566841   2.530853291   1.259152422   0.521424204  -0.022943671
## Sep 1989   2.336826711   2.942632494   2.531376410   1.259468770   0.521576436
## Oct 1989   0.865187875   2.338223507   2.943317689   2.531791872   1.259670622
## Nov 1989  -1.307825265   0.864481143   2.337877863   2.943108209   2.531689484
## Dec 1989  -3.025301776  -1.308168808   0.864313828   2.337776888   2.943059038
## Jan 1990  -3.114175461  -3.026113352  -1.308562619   0.864077516   2.337663078
## Feb 1990  -2.049097943  -3.113974150  -3.026015860  -1.308504362   0.864105280
## Mar 1990  -0.938886966  -2.051740629  -3.115253658  -3.026779810  -1.308867571
## Apr 1990  -0.073026745  -0.938896967  -2.051745470  -3.115256554  -3.026781195
## May 1990   0.598410026  -0.069250251  -0.937073643  -2.050654067  -3.114731185
## Jun 1990   1.308493653   0.597737223  -0.069573226  -0.937266355  -2.050746700
## Jul 1990   2.435815928   1.310599383   0.598742435  -0.068976944  -0.936982169
## Aug 1990   3.013562764   2.437408076   1.311357837   0.599190737  -0.068764700
## Sep 1990   2.307714502   3.013121979   2.437198034   1.311233541   0.599131724
## Oct 1990   0.825850781   2.307912650   3.013216334   2.437254011   1.311260368
## Nov 1990  -1.293237808   0.824632152   2.307334081   3.012873269   2.437088620
## Dec 1990  -3.059248957  -1.294973600   0.823811476   2.306849538   3.012640545
## Jan 1991  -3.115372912  -3.060068047  -1.295359456   0.823584968   2.306741948
## Feb 1991  -2.019769757  -3.113414015  -3.059147016  -1.294821033   0.823838059
## Mar 1991  -0.890287749  -2.019409287  -3.113244566  -3.059048033  -1.294774609
## Apr 1991  -0.124034355  -0.893359183  -2.020852818  -3.114089221  -3.059446602
## May 1991   0.541584112  -0.126158992  -0.894355049  -2.021435877  -3.114366075
## Jun 1991   1.355536193   0.541946536  -0.125990063  -0.894256481  -2.021389153
## Jul 1991   2.490749005   1.357726021   0.542961790  -0.125401186  -0.893979786
## Aug 1991   3.042820854   2.494335434   1.359385437   0.543920845  -0.124953634
## Sep 1991   2.322789983   3.045808237   2.495718048   1.360185374   0.544295125
## Oct 1991   0.796205214   2.323863115   3.046304555   2.496005891   1.360321301
## Nov 1991  -1.336841756   0.796454526   2.323978083   3.046371192   2.496037542
## Dec 1991  -3.074736619  -1.337923409   0.795957788   2.323691414   3.046235542
## Jan 1992  -3.138213705  -3.075524473  -1.338283925   0.795750937   2.323594621
## Feb 1992  -2.012094293  -3.139632660  -3.076172575  -1.338654249   0.795579444
## Mar 1992  -0.905720311  -2.013022814  -3.140056681  -3.076414691  -1.338766137
## Apr 1992  -0.106293562  -0.905239674  -2.012803378  -3.139931177  -3.076356334
## May 1992   0.571126133  -0.106041414  -0.905124865  -2.012737688  -3.139900445
## Jun 1992   1.352127510   0.572058767  -0.105619062  -0.904884082  -2.012625264
## Jul 1992   2.503884679   1.350978413   0.571541042  -0.105912447  -0.905019829
## Aug 1992   3.016305624   2.507457456   1.352585031   0.572448208  -0.105495664
## Sep 1992   2.423743058   3.018438853   2.508416957   1.353127336   0.572697976
## Oct 1992   0.743389145   2.426175667   3.019532252   2.509036347   1.353415208
## Nov 1992  -1.340274495   0.742718155   2.425874942   3.019362009   2.508956767
## Dec 1992  -3.138987875  -1.339557693   0.743038106   2.426055274   3.019445979
## Jan 1993  -3.101041414  -3.138880022  -1.339509722   0.743064986   2.426067650
## Feb 1993  -2.040570896  -3.103338415  -3.139899869  -1.340078846   0.742805652
## Mar 1993  -0.940577992  -2.039366150  -3.102803604  -3.139601608  -1.339943200
## Apr 1993  -0.028262942  -0.941311131  -2.039691514  -3.102985347  -3.139684779
## May 1993   0.525784572  -0.026463271  -0.940514586  -2.039246484  -3.102780469
## Jun 1993   1.405898672   0.525216292  -0.026713478  -0.940653846  -2.039310453
## Jul 1993   2.451883251   1.406428074   0.525448247  -0.026585157  -0.940595452
## Aug 1993   3.060734775   2.454884248   1.407740528   0.526171698  -0.026258324
## Sep 1993   2.460932092   3.060648311   2.454846426   1.407719661   0.526162249
## Oct 1993   0.663838071   2.460499450   3.060459191   2.454741862   1.407671888
## Nov 1993  -1.332646399   0.663892393   2.460523129   3.060472274   2.454747873
## Dec 1993  -3.129861633  -1.333206614   0.663649176   2.460389349   3.060411049
## Jan 1994  -3.121447602  -3.131413224  -1.333877908   0.663282095   2.460223251
## Feb 1994  -2.058234083  -3.123447074  -3.132276806  -1.334348221   0.663071484
## Mar 1994  -0.939590087  -2.059093307  -3.123818126  -3.132478766  -1.334438498
## Apr 1994   0.002693053  -0.940239380  -2.059373614  -3.123970931  -3.132547502
## May 1994   0.527083695   0.002050051  -0.940516235  -2.059524541  -3.124039218
## Jun 1994   1.414037959   0.528169970   0.002515401  -0.940263554  -2.059410499
## Jul 1994   2.495192728   1.416058393   0.529031486   0.002980348  -0.940055725
## Aug 1994   3.063487933   2.494856978   1.415915480   0.528954635   0.002946252
## Sep 1994   2.405763489   3.063457772   2.494844138   1.415908570   0.528951563
## Oct 1994   0.680750062   2.405943720   3.063534449   2.494885487   1.415927118
## Nov 1994  -1.335247488   0.679803803   2.405542254   3.063318123   2.494787911
## Dec 1994  -3.159682205  -1.336797159   0.679148907   2.405190956   3.063160310
## Jan 1995  -3.130805071  -3.161248532  -1.337456856   0.678797108   2.405034722
## Feb 1995  -2.049917799  -3.130885453  -3.161282331  -1.337474808   0.678789218
## Mar 1995  -0.911154171  -2.051314178  -3.131472531  -3.161593981  -1.337611552
## Apr 1995  -0.027399525  -0.911603840  -2.051503168  -3.131573006  -3.161638348
## May 1995   0.553801127  -0.028699977  -0.912148975  -2.051792945  -3.131701694
## Jun 1995   1.402295190   0.554597793  -0.028367646  -0.911973043  -2.051715030
## Jul 1995   2.542500911   1.402484893   0.554676578  -0.028326193  -0.911954866
## Aug 1995   3.039275690   2.542323673   1.402411408   0.554638052  -0.028342957
## Sep 1995   2.408515319   3.041622193   2.543296704   1.402921905   0.554860635
## Oct 1995   0.718952002   2.406438612   3.040761612   2.542844331   1.402722943
## Nov 1995  -1.436084470   0.719501979   2.406665909   3.040880989   2.542897122
## Dec 1995  -3.089264236  -1.436994907   0.719127150   2.406469943   3.040794691
## Jan 1996  -3.172129561  -3.089420855  -1.437059175   0.719093747   2.406455403
## Feb 1996  -2.033703263  -3.173800311  -3.090105356  -1.437413527   0.718941101
## Mar 1996  -0.950366933  -2.036343139  -3.174881749  -3.090664924  -1.437654199
## Apr 1996  -0.033468623  -0.951163791  -2.036669459  -3.175050840  -3.090738118
## May 1996   0.616694686  -0.030020401  -0.949755332  -2.035939844  -3.174733249
## Jun 1996   1.480204391   0.618387100  -0.029332343  -0.949400408  -2.035785820
## Jul 1996   2.473900381   1.479442393   0.618078610  -0.029490498  -0.949468342
## Aug 1996   2.992690118   2.472717416   1.478964243   0.617834351  -0.029594593
## Sep 1996   2.413911632   2.992688165   2.472716627   1.478963839   0.617834179
## Oct 1996   0.752432215   2.415363681   2.993274773   2.473017037   1.479093213
## Nov 1996  -1.415197720   0.753063956   2.415618231   2.993405008   2.473073424
## Dec 1996  -3.119185484  -1.415221762   0.753054305   2.415613316   2.993402889
## Jan 1997  -3.188001586  -3.119816078  -1.415474093   0.752926552   2.415558888
## Feb 1997  -2.041551772  -3.187434632  -3.119589557  -1.415359856   0.752974716
## Mar 1997  -0.924426263  -2.042166451  -3.187680200  -3.119713344  -1.415411971
## Apr 1997  -0.052007185  -0.922360891  -2.041341632  -3.187263844  -3.119536919
## May 1997   0.666426743  -0.054253341  -0.923255666  -2.041793104  -3.187456191
## Jun 1997   1.381421504   0.667019379  -0.054018315  -0.923137594  -2.041742967
## Jul 1997   2.564230480   1.384186084   0.668111371  -0.053473080  -0.922908498
## Aug 1997   3.017227571   2.564181225   1.384166658   0.668101706  -0.053477108
## Sep 1997   2.340696123   3.017193322   2.564167716   1.384159933   0.668098898
## Oct 1997   0.771639266   2.342263710   3.017811245   2.564475864   1.384289690
## Nov 1997  -1.390929900   0.770232691   2.341710655   3.017535725   2.564359237
## Dec 1997  -3.197241689  -1.393295879   0.769305775   2.341251015   3.017342037
## Jan 1998  -3.197530897  -3.200800531  -1.394685805   0.768620580   2.340965711
## Feb 1998  -2.050634079  -3.198444537  -3.201156842  -1.394860777   0.768548484
## Mar 1998  -0.850812900  -2.050342697  -3.198330910  -3.201101066  -1.394837827
## Apr 1998  -0.044558402  -0.852425398  -2.050971265  -3.198639866  -3.201229029
## May 1998   0.622655757  -0.045718958  -0.852876696  -2.051192963  -3.198732176
## Jun 1998   1.405463928   0.621442327  -0.046188801  -0.853106484  -2.051288296
## Jul 1998   2.564341662   1.404528978   0.621081684  -0.046364106  -0.853178429
## Aug 1998   3.023296263   2.562789548   1.403931139   0.620792106  -0.046481964
## Sep 1998   2.328901652   3.022081742   2.562321696   1.403704402   0.620699671
## Oct 1998   0.787990336   2.329594657   3.022348534   2.562451203   1.403757644
## Nov 1998  -1.357414313   0.787310357   2.329333517   3.022221908   2.562398877
## Dec 1998  -3.237064547  -1.357033778   0.787455985   2.329403805   3.022250817
## Jan 1999  -3.173028899  -3.238106017  -1.357431150   0.787265313   2.329326331
## Feb 1999  -2.086898712  -3.173874808  -3.238428327  -1.357585215   0.787203369
## Mar 1999  -0.840748954  -2.087713366  -3.174185189  -3.238576636  -1.357644769
## Apr 1999  -0.038112060  -0.839520205  -2.087245400  -3.173961296  -3.238486137
## May 1999   0.664072906  -0.037620982  -0.839333619  -2.087156191  -3.173925050
## Jun 1999   1.384753836   0.666883843  -0.036557310  -0.838827348  -2.086951297
## Jul 1999   2.612107147   1.386331170   0.667478571  -0.036275959  -0.838714746
## Aug 1999   2.968751013   2.610391780   1.385685286   0.667174086  -0.036396785
## Sep 1999   2.271285049   2.970276917   2.610966374   1.385956294   0.667281796
## Oct 1999   0.878924642   2.273454622   2.971093405   2.611352062   1.386110864
## Nov 1999  -1.370932939   0.878240297   2.273197683   2.970972173   2.611303233
## Dec 1999  -3.309253611  -1.371829305   0.877904894   2.273040163   2.970909038
## Jan 2000  -3.162449414  -3.309594276  -1.371956408   0.877845548   2.273016669
## Feb 2000  -2.075131086  -3.163610091  -3.310026760  -1.372157584   0.877766747
## Mar 2000  -0.848314426  -2.073195894  -3.162889053  -3.309691470  -1.372026405
## Apr 2000   0.030969359  -0.848272186  -2.073180162  -3.162881729  -3.309688586
## May 2000   0.609844716   0.031484698  -0.848080686  -2.073091075  -3.162846465
## Jun 2000   1.414960545   0.613023724   0.032661438  -0.847535743  -2.072876277
## Jul 2000   2.651207105   1.413414674   0.612453451   0.032398939  -0.847638030
## Aug 2000   2.859864415   2.652918018   1.414045011   0.612742595   0.032510626
## Sep 2000   2.360884280   2.859060816   2.652621933   1.413909133   0.612690034
## Oct 2000   0.795450969   2.357699856   2.857888195   2.652083023   1.413698935
## Nov 2000  -1.402443862   0.795195572   2.357606022   2.857845123   2.652066141
## Dec 2000  -3.229399593  -1.402998840   0.794992334   2.357513165   2.857808913
## Jan 2001  -3.180855922  -3.229367714  -1.402987198   0.794997623   2.357515201
## Feb 2001  -2.056535482  -3.180480039  -3.229230614  -1.402925149   0.795021262
## Mar 2001  -0.846317800  -2.057259068  -3.180743946  -3.229350019  -1.402970589
## Apr 2001   0.007397301  -0.846629750  -2.057372798  -3.180795463  -3.229369756
## May 2001   0.635722963   0.009140968  -0.845995436  -2.057085726  -3.180684943
## Jun 2001   1.452822985   0.635870552   0.009194460  -0.845971337  -2.057076490
## Jul 2001   2.607281032   1.453922404   0.636267747   0.009372329  -0.845903970
## Aug 2001   2.888464548   2.608902133   1.454507349   0.636528802   0.009470320
## Sep 2001   2.357382765   2.888418125   2.608885381   1.454499870   0.636525990
## Oct 2001   0.748573686   2.356286417   2.888022721   2.608708608   1.454432878
## Nov 2001  -1.417827653   0.747758799   2.355993159   2.887891778   2.608658747
## Dec 2001  -3.215726260  -1.418439385   0.747539341   2.355895623   2.887854836
## Jan 2002  -3.177082831  -3.216507368  -1.418718864   0.747415839   2.355849444
## Feb 2002  -2.063769746  -3.178562477  -3.217036156  -1.418951691   0.747329716
## Mar 2002  -0.855139183  -2.063975817  -3.178636119  -3.217068571  -1.418963670
## Apr 2002   0.044884686  -0.855089681  -2.063958134  -3.178628326  -3.217065672
## May 2002   0.642525521   0.046534872  -0.854501437  -2.063699164  -3.178531524
## Jun 2002   1.481140830   0.641884187   0.046307054  -0.854601272  -2.063736302
## Jul 2002   2.545687783   1.480219846   0.641558022   0.046164964  -0.854653489
## Aug 2002   2.896343421   2.545561309   1.480175107   0.641538598   0.046157891
## Sep 2002   2.378704506   2.896720189   2.545694592   1.480232997   0.641559704
## Oct 2002   0.746069300   2.376645187   2.895992082   2.545377949   1.480116606
## Nov 2002  -1.467727768   0.746708943   2.376870877   2.896090104   2.545414147
## Dec 2002  -3.148589976  -1.469215616   0.746185551   2.376644607   2.896007012
## Jan 2003  -3.240515672  -3.150002308  -1.469711185   0.745972521   2.376567395
## Feb 2003  -2.047376388  -3.241240031  -3.150256192  -1.469819937   0.745933532
## Mar 2003  -0.835379493  -2.047675161  -3.241344745  -3.150301035  -1.469835998
## Apr 2003   0.056771670  -0.834819937  -2.047479123  -3.241260704  -3.150270729
## May 2003   0.657372790   0.056733538  -0.834833269  -2.047484833  -3.241262772
## Jun 2003   1.456345973   0.655896437   0.056219051  -0.835052589  -2.047563878
## Jul 2003   2.517957528   1.455543619   0.655617627   0.056100889  -0.835094646
## Aug 2003   2.924058393   2.518058634   1.455578714   0.655632452   0.056106116
## Sep 2003   2.398726304   2.925095716   2.518418713   1.455730863   0.655686162
## Oct 2003   0.756042154   2.397945168   2.924824703   2.518304061   1.455690060
## Nov 2003  -1.514685698   0.756060182   2.397951411   2.924827340   2.518305004
## Dec 2003  -3.124551693  -1.515405215   0.755811755   2.397846935   2.924790209
## Jan 2004  -3.259839340  -3.124708913  -1.515459367   0.755789108   2.397838994
## Feb 2004  -2.029122702  -3.259717480  -3.124666984  -1.515441893   0.755795169
## Mar 2004  -0.833290841  -2.029581096  -3.259875195  -3.124732699  -1.515464664
## Apr 2004   0.041304061  -0.833708011  -2.029724573  -3.259935037  -3.124753578
## May 2004   0.657222437   0.040093880  -0.834123432  -2.029897645  -3.259995693
## Jun 2004   1.444999271   0.657936324   0.040338170  -0.834022121  -2.029862334
## Jul 2004   2.575086280   1.447524898   0.658798260   0.040693585  -0.833899827
## Aug 2004   2.961458040   2.578991652   1.448856326   0.659345494   0.040880070
## Sep 2004   2.398826436   2.960432941   2.578642160   1.448712640   0.659296474
## Oct 2004   0.635409527   2.399420954   2.960635536   2.578725546   1.448741318
## Nov 2004  -1.456284350   0.634907123   2.399250071   2.960565297   2.578701283
## Dec 2004  -3.162340205  -1.457788121   0.634397043   2.399041367   2.960493645
## Jan 2005  -3.274541958  -3.162973617  -1.458002481   0.634309817   2.399011828
## Feb 2005  -2.000140386  -3.274484693  -3.162954257  -1.457994629   0.634312446
## Mar 2005  -0.828882942  -2.002133657  -3.275158564  -3.163227488  -1.458086054
## Apr 2005  -0.007424365  -0.830088229  -2.002540981  -3.275323876  -3.163283186
## May 2005   0.689754355  -0.008849678  -0.830569034  -2.002735886  -3.275389831
## Jun 2005   1.450528143   0.690688125  -0.008535618  -0.830442299  -2.002693249
## Jul 2005   2.632213605   1.450282326   0.690605657  -0.008568710  -0.830453285
## Aug 2005   2.918542896   2.631548807   1.450059515   0.690516532  -0.008598008
## Sep 2005   2.397826926   2.918528471   2.631543972   1.450057580   0.690515896
## Oct 2005   0.660157414   2.399768076   2.919178782   2.631804437   1.450143984
## Nov 2005  -1.423715984   0.659933445   2.399693177   2.919148825   2.631794457
## Dec 2005  -3.224871149  -1.423544190   0.659990746   2.399715992   2.919156377
## Jan 2006  -3.262089006  -3.226542904  -1.424100578   0.659770403   2.399644072
## Feb 2006  -2.048259111  -3.263920162  -3.227151768  -1.424340912   0.659692840
## Mar 2006  -0.818031174  -2.048822562  -3.264107506  -3.227225705  -1.424364755
## Apr 2006   0.032631356  -0.816418159  -2.048286435  -3.263895730  -3.227156936
## May 2006   0.723428397   0.030950376  -0.816975910  -2.048506485  -3.263967488
## Jun 2006   1.363845174   0.722824286   0.030750490  -0.817054418  -2.048531928
## Jul 2006   2.686426743   1.366064685   0.723556923   0.031036659  -0.816962930
## Aug 2006   2.976645394   2.687379071   1.366378749   0.723679218   0.031075362
## Sep 2006   2.351945516   2.977472223   2.687651754   1.366484954   0.723712861
## Oct 2006   0.658279753   2.351919287   2.977463576   2.687648383   1.366483878
## Nov 2006  -1.447091469   0.657580626   2.351689209   2.977374001   2.687619662
## Dec 2006  -3.231938430  -1.446005511   0.657937125   2.351827386   2.977418010
## Jan 2007  -3.224247368  -3.232590417  -1.446219102   0.657854776   2.351801531
## Feb 2007  -2.099744533  -3.224832663  -3.232781989  -1.446292726   0.657831924
## Mar 2007  -0.807164701  -2.100639199  -3.225125489  -3.232894510  -1.446327624
## Apr 2007   0.028201592  -0.807086653  -2.100613663  -3.225115669  -3.232891442
## May 2007   0.742772193   0.026534323  -0.807631271  -2.100822852  -3.225181272
## Jun 2007   1.329946702   0.743650421   0.026820445  -0.807521856  -2.100788762
## Jul 2007   2.756592830   1.330274279   0.743756905   0.026860947  -0.807509413
## Aug 2007   2.950785522   2.756964120   1.330394868   0.743802634   0.026874850
## Sep 2007   2.361999868   2.953045312   2.757698087   1.330673248   0.743887351
## Oct 2007   0.688085805   2.360612773   2.952594977   2.757527126   1.330620802
## Nov 2007  -1.542205225   0.687453970   2.360407970   2.952517337   2.757503213
## Dec 2007  -3.194076168  -1.542624993   0.687318225   2.360356734   2.952501667
## Jan 2008  -3.222248541  -3.194382754  -1.542723943   0.687281070   2.360345536
## Feb 2008  -2.106926029  -3.224677374  -3.195165999  -1.543017137   0.687193733
## Mar 2008  -0.843706182  -2.105583475  -3.224244438  -3.195003959  -1.542968903
## Apr 2008   0.135230430  -0.841065699  -2.104732277  -3.223925597  -3.194908373
## May 2008   0.755677181   0.138349369  -0.840061823  -2.104356724  -3.223812566
## Jun 2008   1.307856250   0.752627202   0.137370111  -0.840426574  -2.104465750
## Jul 2008   2.616349370   1.307916239   0.752646423   0.137377233  -0.840424475
## Aug 2008   3.060161856   2.615897420   1.307771553   0.752592970   0.137361652
## Sep 2008   2.337117433   3.060815897   2.616106808   1.307848922   0.752615542
## Oct 2008   0.705819777   2.335127795   3.060179174   2.615871332   1.307779671
## Nov 2008  -1.603160622   0.706231830   2.335259460   3.060227799   2.615885687
## Dec 2008  -3.121152452  -1.602616753   0.706405231   2.335323224   3.060246485
## Jan 2009  -3.233751207  -3.120776141  -1.602496997   0.706449046   2.335335872
## Feb 2009  -2.114742674  -3.234554175  -3.121031475  -1.602590137   0.706422475
## Mar 2009  -0.862720326  -2.114139629  -3.234362417  -3.120961535  -1.602570198
## Apr 2009   0.167589604  -0.864878410  -2.114825642  -3.234612816  -3.121033433
## May 2009   0.694818551   0.169583462  -0.864245531  -2.114594936  -3.234546320
## Jun 2009   1.419201092   0.695680161   0.169856316  -0.864146490  -2.114566596
## Jul 2009   2.564473258   1.419867052   0.695890643   0.169932327  -0.864125061
## Aug 2009   3.057830762   2.564672157   1.419929868   0.695913264   0.169938635
## Sep 2009   2.321086026   3.057110359   2.564444638   1.419847924   0.695890395
## Oct 2009   0.687974644   2.320698795   3.056988108   2.564400572   1.419835527
## Nov 2009  -1.582824822   0.689184487   2.321080205   3.057125395   2.564439338
## Dec 2009  -3.091407287  -1.583536048   0.688960738   2.321000005   3.057102922
## Jan 2010  -3.288862417  -3.091698563  -1.583627522   0.688928111   2.320991002
## Feb 2010  -2.094462006  -3.289315145  -3.091840636  -1.583678050   0.688914336
## Mar 2010  -0.880321047  -2.097776901  -3.290355396  -3.092210559  -1.583778831
## Apr 2010   0.109347380  -0.881946303  -2.098286769  -3.290536839  -3.092260349
## May 2010   0.759694161   0.108788452  -0.882121405  -2.098349000  -3.290553978
## Jun 2010   1.442369656   0.759959781   0.108871485  -0.882092018  -2.098340968
## Jul 2010   2.582390292   1.443489381   0.760309165   0.108994528  -0.882058898
## Aug 2010   3.077698355   2.584768024   1.444230768   0.760569542   0.109063835
## Sep 2010   2.336253419   3.077721328   2.584775187   1.444233284   0.760570212
## Oct 2010   0.624897523   2.336835728   3.077902834   2.584838990   1.444250416
## Nov 2010  -1.566019633   0.623453715   2.336386298   3.077745072   2.584796476
## Dec 2010  -3.142211501  -1.566948770   0.623165062   2.336285388   3.077718096
## Jan 2011  -3.259925003  -3.141571647  -1.566750315   0.623234110   2.336303556
## Feb 2011  -2.068501648  -3.261005579  -3.141906563  -1.566866517   0.623203908
## Mar 2011  -0.926303667  -2.067938383  -3.260831002  -3.141845999  -1.566850784
## Apr 2011   0.158966269  -0.925682802  -2.067746009  -3.260764219  -3.141828524
## May 2011   0.761230914   0.161738366  -0.924824990  -2.067448603  -3.260686124
## Jun 2011   1.483559080   0.761130663   0.161707407  -0.924835680  -2.067451388
## Jul 2011   2.498970679   1.482991182   0.760955589   0.161647244  -0.924851107
## Aug 2011   3.077853651   2.497499285   1.482537877   0.760800228   0.161607860
## Sep 2011   2.326930249   3.078637561   2.497740794   1.482620659   0.760821228
## Oct 2011   0.677113114   2.325886706   3.078316168   2.497630553   1.482592468
## Nov 2011  -1.619460013   0.677178194   2.325906724   3.078323025   2.497632313
## Dec 2011  -3.103696120  -1.619168868   0.677267581   2.325937221   3.078330786
## Jan 2012  -3.265456264  -3.104629420  -1.619454968   0.677170421   2.325912896
## Feb 2012  -2.096609069  -3.265846785  -3.104749056  -1.619495487   0.677160402
## Mar 2012  -0.902641173  -2.096627424  -3.265852408  -3.104750960  -1.619495958
## Apr 2012   0.173467514  -0.901366297  -2.096236980  -3.265720098  -3.104718023
## May 2012   0.778102455   0.171657018  -0.901920102  -2.096424407  -3.265766912
## Jun 2012   1.406462325   0.778079855   0.171650118  -0.901922428  -2.096424983
## Jul 2012   2.565797624   1.408125724   0.778586881   0.171820246  -0.901880966
## Aug 2012   3.104454694   2.565958184   1.408174635   0.778603250   0.171824189
## Sep 2012   2.275196963   3.103860746   2.565777252   1.408114074   0.778588654
## Oct 2012   0.666919891   2.274748275   3.103724105   2.565731487   1.408102955
## Nov 2012  -1.609042137   0.666944331   2.274755709   3.103726592   2.565732093
## Dec 2012  -3.102083932  -1.611287289   0.666262613   2.274528567   3.103671705
## Jan 2013  -3.318311291  -3.103031827  -1.611574689   0.666167280   2.274505912
## Feb 2013  -2.047312893  -3.318531400  -3.103098524  -1.611596755   0.666162103
## Mar 2013  -0.895753695  -2.049175891  -3.319095912  -3.103285276  -1.611640551
## Apr 2013   0.135085351  -0.895854552  -2.049206443  -3.319106025  -3.103287665
## May 2013   0.837869897   0.136409209  -0.895453972  -2.049074014  -3.319074635
## Jun 2013   1.421022605   0.835877829   0.135807512  -0.895652128  -2.049120572
## Jul 2013   2.488384008   1.422285702   0.836258772   0.135932408  -0.895623268
## Aug 2013   3.197943964   2.488424050   1.422297771   0.836262719   0.135933309
## Sep 2013   2.226618193   3.197994400   2.488439252   1.422302744   0.836263855
## Oct 2013   0.677251147   2.227963321   3.198399733   2.488571910   1.422333294
## Nov 2013  -1.586507228   0.676946547   2.227871637   3.198369766   2.488564987
## Dec 2013  -3.151648228  -1.586730908   0.676879330   2.227849750   3.198364756
## Jan 2014  -3.312709260  -3.153039171  -1.587148323   0.676743993   2.227819294
## Feb 2014  -2.071260632  -3.312536960  -3.152987493  -1.587131610   0.676747705
## Mar 2014  -0.840528087  -2.068734799  -3.311779403  -3.152742502  -1.587077217
## Apr 2014   0.165981310  -0.842838330  -2.069427523  -3.312003552  -3.152792643
## May 2014   0.702413463   0.163629228  -0.843542841  -2.069655200  -3.312054642
## Jun 2014   1.461686318   0.703141390   0.163846898  -0.843472756  -2.069639617
## Jul 2014   2.562451283   1.461034091   0.702946629   0.163784459  -0.843486403
## Aug 2014   3.160271384   2.565135978   1.461835330   0.703202892   0.163839779
## Sep 2014   2.310461088   3.161374887   2.565465318   1.461940672   0.703225645
## Oct 2014   0.618088809   2.311781782   3.161768942   2.565591431   1.461968134
## Nov 2014  -1.587380091   0.616302081   2.311249234   3.161598725   2.565554253
## Dec 2014  -3.224485716  -1.587484736   0.616270938   2.311239316   3.161596580
## Jan 2015  -3.255953941  -3.225559827  -1.587803982   0.616169687   2.311217793
## Feb 2015  -2.097983870  -3.256086778  -3.225599287  -1.587816468   0.616167068
## Mar 2015  -0.808999965  -2.096728271  -3.255713788  -3.225481281  -1.587791725
## Apr 2015   0.186294659  -0.809461926  -2.096865470  -3.255757218  -3.225490456
## May 2015   0.648214828   0.184825272  -0.809897882  -2.097003299  -3.255786425
## Jun 2015   1.449981309   0.647512346   0.184617175  -0.809963438  -2.097017058
## Jul 2015   2.601097637   1.451621314   0.647997535   0.184769393  -0.809932050
## Aug 2015   3.211890228   2.601737611   1.451810551   0.648056769   0.184781453
## Sep 2015   2.274913932   3.213314973   2.602158903   1.451942431   0.648083633
## Oct 2015   0.633460661   2.274811388   3.213284659   2.602149409   1.451940481
## Nov 2015  -1.638511327   0.631397763   2.274202145   3.213094083   2.602110154
## Dec 2015  -3.266954274  -1.641034311   0.630653712   2.273970209   3.213046781
## Jan 2016  -3.252309937  -3.269164323  -1.641685295   0.630451593   2.273929728
## Feb 2016  -2.070562032  -3.251261991  -3.268855796  -1.641589721   0.630470478
## Mar 2016  -0.744045215  -2.073373710  -3.252089777  -3.269112210  -1.641640363
## Apr 2016   0.080513568  -0.744536704  -2.073518377  -3.252134611  -3.269121133
## May 2016   0.712555438   0.075859875  -0.745905203  -2.073941978  -3.252219161
## Jun 2016   1.357430895   0.712566154   0.075863022  -0.745904232  -2.073941786
## Jul 2016   2.747194417   1.358151525   0.712777504   0.075927961  -0.745891631
## Aug 2016   3.218422195   2.751057309   1.359283916   0.713124682   0.075994457
## Sep 2016   2.337061071   3.220197171   2.751577639   1.359443452   0.713155253
## Oct 2016   0.549682606   2.336877690   3.220143426   2.751561152   1.359440267
## Nov 2016  -1.686072414   0.548229062   2.336452076   3.220013026   2.751535887
## Dec 2016  -3.293794195  -1.688775221   0.547438714   2.336210737   3.219966747
## Jan 2017  -3.258652221  -3.292625420  -1.688433833   0.547542563   2.336230283
## Feb 2017  -1.981473931  -3.260767084  -3.293242868  -1.688621251   0.547507772
## Mar 2017  -0.836152521  -1.980369348  -3.260444596  -3.293144987  -1.688603089
## Apr 2017   0.171647181  -0.835815654  -1.980271018  -3.260414737  -3.293139403
## May 2017   0.674010105   0.171407276  -0.835885619  -1.980292239  -3.260418717
## Jun 2017   1.348834593   0.673870789   0.171366701  -0.835897885  -1.980294515
## Jul 2017   2.759711593   1.349225908   0.673984628   0.171400986  -0.835891641
## Aug 2017   3.234126628   2.760446321   1.349439557   0.674048837   0.171412524
## Sep 2017   2.338996203   3.234286860   2.760492915   1.349453561   0.674051355
## Oct 2017   0.534903905   2.340300080   3.234665929   2.760606896   1.349474223
## Nov 2017  -1.661159177   0.535321903   2.340421499   3.234702395   2.760613525
## Dec 2017  -3.324078900  -1.661099843   0.535339117   2.340426652   3.234703321
## Jan 2018  -3.270650441  -3.325402732  -1.661483501   0.535224679   2.340406465
## Feb 2018  -2.008536162  -3.271020406  -3.325509905  -1.661515402   0.535219130
## Mar 2018  -0.797511340  -2.007460255  -3.270708734  -3.325417136  -1.661499275
## Apr 2018   0.197019475  -0.797834419  -2.007553827  -3.270736597  -3.325422018
## May 2018   0.641614471   0.199623121  -0.797080954  -2.007329716  -3.270697223
## Jun 2018   1.418296068   0.641444156   0.199573895  -0.797095549  -2.007332253
## Jul 2018   2.669824281   1.417206041   0.641129442   0.199480918  -0.797111398
## Aug 2018   3.236147520   2.671130914   1.417583139   0.641240628   0.199499612
## Sep 2018   2.399433118   3.235682606   2.670996738   1.417543576   0.641233974
## Oct 2018   0.477581843   2.399107538   3.235588662   2.670969026   1.417538876
## Nov 2018  -1.651146332   0.476560434   2.398813050   3.235501891   2.670954271
## Dec 2018  -3.348448953  -1.653678315   0.475831281   2.398598865   3.235465875
## Jan 2019  -3.291852233  -3.348192982  -1.653604673   0.475852837   2.398602419
## Feb 2019  -1.935717759  -3.293827011  -3.348760892  -1.653770588   0.475825877
## Mar 2019  -0.866950560  -1.937617475  -3.294373333  -3.348920493  -1.653796510
## Apr 2019   0.231088885  -0.864880801  -1.937022360  -3.294199410  -3.348892015
## May 2019   0.738297830   0.232301128  -0.864532514  -1.936920684  -3.294182719
## Jun 2019   1.361012205   0.736664913   0.231832526  -0.864668901  -1.936942818
## Jul 2019   2.607795612   1.360576654   0.736540043   0.231796307  -0.864674663
## Aug 2019   3.290794487   2.609370487   1.361027985   0.736670707   0.231816802
## Sep 2019   2.437173985   3.290905651   2.609402345   1.361037208   0.736672154
## Oct 2019   0.424682998   2.436850035   3.290812830   2.609375461   1.361032954
## Nov 2019  -1.652536021   0.425544942   2.437096823   3.290884229   2.609386788
## Dec 2019  -3.321091447  -1.652847872   0.425455751   2.437071095   3.290880195
## Jan 2020  -3.333388353  -3.322106285  -1.653137856   0.425372377   2.437058285
## Feb 2020  -1.950191363  -3.335017422  -3.322571608  -1.653271392   0.425352164
## Mar 2020  -0.870970566  -1.950938076  -3.335230710  -3.322632814  -1.653280653
## Apr 2020   0.267287395  -0.869670461  -1.950566782  -3.335124123  -3.322616554
## May 2020   0.776819966   0.266890918  -0.869783610  -1.950599229  -3.335129085
## Jun 2020   1.307174367   0.776706754   0.266858644  -0.869792838  -1.950600624
## Jul 2020   2.626716490   1.307299115   0.776742284   0.266868770  -0.869791339
## Aug 2020   3.298241918   2.627460408   1.307510918   0.776802542   0.266877562
## Sep 2020   2.448378936   3.298350776   2.627491401   1.307519736   0.776803829
## Oct 2020   0.401660654   2.447582762   3.298124134   2.627426896   1.307510240
## Nov 2020  -1.667779809   0.402056297   2.447695309   3.298156133   2.627431618
## Dec 2020  -3.288284259  -1.667708432   0.402076581   2.447701060   3.298156971
## Jan 2021  -3.348037937  -3.287714580  -1.667546679   0.402122297   2.447707586
## Feb 2021  -1.937158433  -3.347538201  -3.287572735  -1.667506661   0.402127922
## Mar 2021  -0.883794658  -1.938910264  -3.348035438  -3.287713014  -1.667526373
## Apr 2021   0.212511452  -0.885116995  -1.939285534  -3.348141344  -3.287728021
## May 2021   0.807041146   0.212450858  -0.885134180  -1.939290379  -3.348142032
## Jun 2021   1.350369050   0.809972918   0.213281482  -0.884900644  -1.939257619
## Jul 2021   2.680534801   1.349738350   0.809794380   0.213231440  -0.884907516
## Aug 2021   3.193294084   2.680891334   1.349839244   0.809822611   0.213235259
## Sep 2021   2.499936958   3.195691181   2.681569680   1.350029056   0.809848296
## Oct 2021   0.438103558   2.499914195   3.195684741   2.681567877   1.350028810
## Nov 2021  -1.749537752   0.436164780   2.499365990   3.195531445   2.681546902
## Dec 2021  -3.310147212  -1.748359347   0.436497668   2.499458828   3.195543988
## Jan 2022  -3.266556761  -3.311304748  -1.748686081   0.436406817   2.499446818
## Feb 2022  -2.015205943  -3.267668214  -3.311618374  -1.748773141   0.436395487
## Mar 2022  -0.872124239  -2.016808882  -3.268120525  -3.311743927  -1.748789473
## Apr 2022   0.224334450  -0.868247629  -2.015715158  -3.267816831  -3.311704083
## May 2022   0.942960959   0.226297597  -0.867694100  -2.015561609  -3.267796641
## Jun 2022   1.261555730   0.943405875   0.226422928  -0.867659424  -2.015557108
## Jul 2022   2.642468796   1.259929780   0.942948210   0.226296673  -0.867675456
## Aug 2022   3.159343032   2.642596772   1.259965791   0.942958129   0.226297913
## Sep 2022   2.552391906   3.158336724   2.642313609   1.259887800   0.942948375
## Oct 2022   0.399261256   2.551498111   3.158085259   2.642244325   1.259879057
## Nov 2022  -1.730869271   0.400421732   2.551824411   3.158175074   2.642255683
## Dec 2022  -3.266763746  -1.731431744   0.400263717   2.551781027   3.158169660
## Jan 2023  -3.324740269  -3.267675082  -1.731687577   0.400193674   2.551772480
## Feb 2023  -2.000492537  -3.322118617  -3.266939341  -1.731486464   0.400217821
## Mar 2023  -0.781516487  -1.999158323  -3.321744183  -3.266836993  -1.731474181
## Apr 2023   0.165697765  -0.781669122  -1.999201152  -3.321755894  -3.266838411
## May 2023   0.899891038   0.162840397  -0.782470441  -1.999420048  -3.321782450
## Jun 2023   1.208330772   0.898793681   0.162532923  -0.782554226  -1.999430077
## Jul 2023   2.706419472   1.207599593   0.898588956   0.162477291  -0.782560736
## Aug 2023   3.159833668   2.705757639   1.207414338   0.898538692   0.162471503
## Sep 2023   2.556708001   3.160376285   2.705909524   1.207455549   0.898543438
## Oct 2023   0.426870813   2.556322910   3.160268508   2.705880272   1.207452149
## Nov 2023  -1.763371359   0.426088232   2.556104008   3.160209150   2.705873359
## Dec 2023  -3.271150222  -1.764119682   0.425879084   2.556047431   3.160202651
## Jan 2024  -3.315393506  -3.271375132  -1.764182498   0.425862137   2.556045529
## Feb 2024  -1.981911510  -3.314709617  -3.271184177  -1.764131057   0.425867814
## Mar 2024  -0.775982925  -1.984624161  -3.315467043  -3.271388212  -1.764153567
## Apr 2024   0.073691151  -0.778266133  -1.985261595  -3.315638803  -3.271407330
## May 2024   0.945294860   0.074939471  -0.777917809  -1.985167820  -3.315628343
## Jun 2024   1.297938538   0.946852924   0.075373874  -0.777801133  -1.985154988
## Jul 2024   2.682699193   1.297048129   0.946604836   0.075307415  -0.777808271
## Aug 2024   3.088474968   2.680230813   1.296360566   0.946420913   0.075287985
## Sep 2024   2.545760243   3.089621404   2.680550150   1.296445990   0.946429939
## Oct 2024   0.521033047   2.545032507   3.089418721   2.680495917   1.296440206
## Nov 2024  -1.832935311   0.520042022   2.544756637   3.089344969   2.680488035
## Dec 2024  -3.264112612  -1.833057362   0.520008073   2.544747581   3.089344015
## Jan 2025  -3.292337747  -3.264619488  -1.833198264   0.519970584   2.544743727
## Feb 2025  -2.000692399  -3.293213486  -3.264862864  -1.833262926   0.519964049
## Mar 2025  -0.772881427  -1.998660080  -3.292648688  -3.264712806  -1.833247768
## Apr 2025   0.139044530  -0.773864943  -1.998933374  -3.292721317  -3.264720210
## May 2025   0.856437066   0.139002293  -0.773876674  -1.998936488  -3.292721635
## Jun 2025   1.333773607   0.855528324   0.138750090  -0.773943494  -1.998943214
## Jul 2025   2.664900007   1.335503274   0.856008058   0.138876880  -0.773931041
## Aug 2025   3.155855903   2.665358634   1.335630446   0.856041623   0.138880120
## Sep 2025   2.498775308   3.156924360   2.665654904   1.335708642   0.856049172
##             sea_dummy9   sea_dummy10   sea_dummy11
## Mar 1958   0.000000000   0.000000000   0.000000000
## Apr 1958   0.000000000   0.000000000   0.000000000
## May 1958 -24.419230769 -24.419230769 -24.419230769
## Jun 1958 -21.135777778 -21.135777778 -21.135777778
## Jul 1958 -21.931063830 -21.931063830 -21.931063830
## Aug 1958 -22.868835534 -22.868835534 -22.868835534
## Sep 1958 -23.622428748 -23.622428748 -23.622428748
## Oct 1958 -24.200669940 -24.200669940 -24.200669940
## Nov 1958  88.921480851 -24.634151064 -24.634151064
## Dec 1958  64.458520638  80.715312628 -24.954434001
## Jan 1959  45.095767899  60.149298597  73.522829295
## Feb 1959  30.077316750  43.201407286  56.025497822
## Mar 1959  17.194269481  29.723782468  41.093295455
## Apr 1959  -0.400833333   0.617500000   2.095833333
## May 1959  -2.196415667  -0.425977726   0.564481491
## Jun 1959  -3.038628616  -2.188661326  -0.408686652
## Jul 1959  -2.189290715  -3.033362000  -2.177436544
## Aug 1959  -0.914997843  -2.192966098  -3.040930186
## Sep 1959  -0.066381916  -0.937812090  -2.239192493
## Oct 1959   0.804898780  -0.053763722  -0.912401521
## Nov 1959   0.832658968   0.817047859  -0.029337164
## Dec 1959   2.161179893   0.852267680   0.856505653
## Jan 1960   2.402582039   2.152433059   0.834722227
## Feb 1960   2.136514067   2.397776443   2.142799366
## Mar 1960   0.564702116   2.125082255   2.374867327
## Apr 1960  -0.843080508   0.580422022   2.153109827
## May 1960  -2.241342911  -0.839639211   0.587575017
## Jun 1960  -2.973786301  -2.228559712  -0.812640857
## Jul 1960  -1.858566021  -2.973819426  -2.228627968
## Aug 1960  -0.902317119  -1.856906346  -2.970454986
## Sep 1960  -0.106065935  -0.918351293  -1.889190393
## Oct 1960   0.542821399  -0.119042195  -0.944436213
## Nov 1960   0.843940192   0.544052732  -0.116564869
## Dec 1960   2.180002194   0.843909064   0.543989763
## Jan 1961   2.687464181   2.182584150   0.849094225
## Feb 1961   2.326181979   2.685049697   2.177742975
## Mar 1961   0.816187749   2.326876694   2.686437613
## Apr 1961  -0.925684352   0.827981491   2.348623150
## May 1961  -2.461197534  -0.930103979   0.818891268
## Jun 1961  -3.067377773  -2.455673070  -0.918657443
## Jul 1961  -1.957390637  -3.072096086  -2.465282030
## Aug 1961  -0.926265550  -1.956027433  -3.069348336
## Sep 1961  -0.180465667  -0.926899061  -1.957300047
## Oct 1961   0.499030575  -0.185220708  -0.936454296
## Nov 1961   0.967076712   0.508749955  -0.165643338
## Dec 1961   2.137304127   0.965438002   0.505421792
## Jan 1962   2.808540007   2.134052854   0.958902205
## Feb 1962   2.276611882   2.808885407   2.134745216
## Mar 1962   0.840766466   2.274893466   2.805462641
## Apr 1962  -0.930778913   0.849807805   2.291906169
## May 1962  -2.584875139  -0.932641259   0.846004846
## Jun 1962  -2.933788948  -2.588700338  -0.940484200
## Jul 1962  -1.948986933  -2.934523180  -2.590185510
## Aug 1962  -0.966358914  -1.945416179  -2.927352631
## Sep 1962  -0.182982161  -0.970412038  -1.953543351
## Oct 1962   0.439828261  -0.180094164  -0.964611642
## Nov 1962   1.078978439   0.435189800  -0.189445046
## Dec 1962   2.160809990   1.079483878   0.436219095
## Jan 1963   2.772266248   2.160630261   1.079122402
## Feb 1963   2.255925731   2.774137212   2.164376458
## Mar 1963   0.921543673   2.252721881   2.767776775
## Apr 1963  -0.998364999   0.921133154   2.251939415
## May 1963  -2.507445817  -0.994911573   0.928142584
## Jun 1963  -3.006447619  -2.504650738  -0.989225106
## Jul 1963  -1.953411574  -3.008106674  -2.507987832
## Aug 1963  -0.994291830  -1.958381482  -3.018049208
## Sep 1963  -0.145800128  -0.997157950  -1.964114241
## Oct 1963   0.386167645  -0.147803126  -1.001175056
## Nov 1963   1.057927765   0.387318681  -0.145483048
## Dec 1963   2.220289816   1.058014389   0.387495252
## Jan 1964   2.875268781   2.222485356   1.062427604
## Feb 1964   2.304085021   2.878789172   2.229516577
## Mar 1964   0.875975673   2.304286054   2.879186622
## Apr 1964  -1.051320213   0.875765373   2.303882173
## May 1964  -2.592169510  -1.052465382   0.873455632
## Jun 1964  -3.035244069  -2.594882741  -1.057944466
## Jul 1964  -1.999926451  -3.035142510  -2.594679694
## Aug 1964  -0.986187419  -2.000501995  -3.036288322
## Sep 1964  -0.070127839  -0.985570514  -1.999272892
## Oct 1964   0.422431084  -0.073679126  -0.992671410
## Nov 1964   1.097884595   0.425086249  -0.068336801
## Dec 1964   2.243293162   1.096842443   0.422964798
## Jan 1965   2.832434491   2.242507281   1.095266353
## Feb 1965   2.310434506   2.830302958   2.238268525
## Mar 1965   0.862291102   2.313044465   2.835434600
## Apr 1965  -1.013050750   0.861066274   2.310684910
## May 1965  -2.679562974  -1.013183251   0.860801004
## Jun 1965  -2.971432845  -2.683661189  -1.021390858
## Jul 1965  -2.008280884  -2.971925327  -2.684638603
## Aug 1965  -0.976155143  -2.003550805  -2.962570112
## Sep 1965  -0.125175830  -0.977769327  -2.006748169
## Oct 1965   0.486811603  -0.122233988  -0.971916421
## Nov 1965   1.081294588   0.486106578  -0.123647008
## Dec 1965   2.275686359   1.084485109   0.492575828
## Jan 1966   2.728015515   2.273497040   1.080113859
## Feb 1966   2.234285608   2.728979159   2.275400937
## Mar 1966   0.945993778   2.236791891   2.733871594
## Apr 1966  -1.094598981   0.947930764   2.240520142
## May 1966  -2.621080704  -1.093669500   0.949775012
## Jun 1966  -3.024166118  -2.621576351  -1.094652581
## Jul 1966  -1.925296367  -3.023792348  -2.620841195
## Aug 1966  -1.049458812  -1.926051356  -3.025272958
## Sep 1966  -0.137276670  -1.049965228  -1.927046550
## Oct 1966   0.512279762  -0.138967439  -1.053305052
## Nov 1966   1.114570422   0.510472703  -0.142566731
## Dec 1966   2.317463471   1.116806571   0.514976986
## Jan 1967   2.734798843   2.320054395   1.121944829
## Feb 1967   2.268109380   2.737671540   2.325681362
## Mar 1967   0.938857138   2.265947104   2.733488197
## Apr 1967  -1.092257231   0.937069224   2.262520456
## May 1967  -2.658630296  -1.092221611   0.937139159
## Jun 1967  -3.113082938  -2.658025807  -1.091035951
## Jul 1967  -1.919130984  -3.115522301  -2.662772830
## Aug 1967  -1.021265287  -1.921628464  -3.120369848
## Sep 1967  -0.029230880  -1.020392244  -1.919929644
## Oct 1967   0.507086172  -0.029711294  -1.021332532
## Nov 1967   1.103058930   0.509587292  -0.024771332
## Dec 1967   2.328353052   1.104423749   0.512311718
## Jan 1968   2.784285630   2.330180357   1.108015379
## Feb 1968   2.226538293   2.782681291   2.327070585
## Mar 1968   0.854199944   2.225734577   2.781142563
## Apr 1968  -1.086372659   0.854344700   2.226010062
## May 1968  -2.727612956  -1.087096558   0.852940182
## Jun 1968  -3.078218481  -2.727762092  -1.087385469
## Jul 1968  -1.904751797  -3.076946221  -2.725315891
## Aug 1968  -0.940753848  -1.903847917  -3.075212437
## Sep 1968  -0.050636616  -0.941170550  -1.904649502
## Oct 1968   0.496248509  -0.051787848  -0.943399416
## Nov 1968   1.115026621   0.496747405  -0.050812557
## Dec 1968   2.302278422   1.114474479   0.495657330
## Jan 1969   2.756814559   2.304500770   1.118795861
## Feb 1969   2.246500007   2.758412778   2.307561939
## Mar 1969   0.881466150   2.246105419   2.757666105
## Apr 1969  -1.086398460   0.883833557   2.250569801
## May 1969  -2.772516679  -1.086554037   0.883535559
## Jun 1969  -3.072069347  -2.771789365  -1.085163691
## Jul 1969  -1.974966367  -3.072786592  -2.773150591
## Aug 1969  -0.913781174  -1.973289311  -3.069610965
## Sep 1969  -0.018979514  -0.914512513  -1.974678471
## Oct 1969   0.448468890  -0.017909876  -0.912466553
## Nov 1969   1.181421977   0.447315261  -0.020138905
## Dec 1969   2.285414656   1.180517633   0.445552037
## Jan 1970   2.791646666   2.285581244   1.180837669
## Feb 1970   2.202910044   2.791637548   2.285564003
## Mar 1970   0.948482630   2.204566010   2.794732278
## Apr 1970  -1.123156391   0.949691825   2.206822240
## May 1970  -2.715130994  -1.122682028   0.950588320
## Jun 1970  -3.098051986  -2.717469236  -1.127090614
## Jul 1970  -2.007464416  -3.098598671  -2.718492778
## Aug 1970  -0.917254727  -2.008231435  -3.100031570
## Sep 1970  -0.052541256  -0.916236699  -2.006323326
## Oct 1970   0.478727625  -0.052385847  -0.915943245
## Nov 1970   1.217177961   0.479765256  -0.050406066
## Dec 1970   2.349300942   1.216754752   0.478951135
## Jan 1971   2.733111166   2.348924890   1.216041619
## Feb 1971   2.203901940   2.733340982   2.349353625
## Mar 1971   0.899628713   2.203651407   2.732878763
## Apr 1971  -1.101337532   0.898239728   2.201089264
## May 1971  -2.734139588  -1.104103656   0.893082786
## Jun 1971  -3.048721177  -2.732701443  -1.101429598
## Jul 1971  -2.007518143  -3.047750754  -2.730909341
## Aug 1971  -0.919673289  -2.007094156  -3.046969498
## Sep 1971  -0.027416763  -0.919551848  -2.006869614
## Oct 1971   0.504239211  -0.029196691  -0.922868619
## Nov 1971   1.221144743   0.505077839  -0.027617421
## Dec 1971   2.225166568   1.221938579   0.506583824
## Jan 1972   2.764505900   2.225629296   1.222804399
## Feb 1972   2.215402863   2.763942998   2.224593347
## Mar 1972   0.909885152   2.216062905   2.765145082
## Apr 1972  -1.065851132   0.907759397   2.212188034
## May 1972  -2.814046178  -1.063652998   0.911802401
## Jun 1972  -3.030852459  -2.814025216  -1.063614553
## Jul 1972  -1.993429912  -3.032559204  -2.817134509
## Aug 1972  -0.895545683  -1.993522991  -3.032728391
## Sep 1972  -0.053375103  -0.894955108  -1.992445738
## Oct 1972   0.569041304  -0.052506959  -0.893358711
## Nov 1972   1.100962931   0.570960604  -0.048940127
## Dec 1972   2.316093248   1.102269757   0.573405269
## Jan 1973   2.785606771   2.316170368   1.102412122
## Feb 1973   2.142475218   2.785851667   2.316615045
## Mar 1973   0.885177553   2.143603052   2.787879658
## Apr 1973  -1.083605275   0.885990783   2.145067807
## May 1973  -2.845427174  -1.083636199   0.885934649
## Jun 1973  -2.999690491  -2.844184467  -1.081387265
## Jul 1973  -1.957614054  -2.998763621  -2.842518151
## Aug 1973  -0.909526784  -1.957374662  -2.998334242
## Sep 1973  -0.073687723  -0.908505798  -1.955536868
## Oct 1973   0.587094011  -0.073661018  -0.908457328
## Nov 1973   1.116465366   0.586287999  -0.075139408
## Dec 1973   2.274605238   1.115689698   0.584856916
## Jan 1974   2.812769822   2.272395724   1.111664914
## Feb 1974   2.169841668   2.811245699   2.269664313
## Mar 1974   0.878067249   2.171061749   2.813412502
## Apr 1974  -1.025247154   0.879060843   2.172830392
## May 1974  -2.810567573  -1.025146651   0.879240969
## Jun 1974  -2.994263327  -2.810802382  -1.025566172
## Jul 1974  -1.922055316  -2.995574860  -2.813130346
## Aug 1974  -0.968089001  -1.922369517  -2.996131221
## Sep 1974  -0.164104271  -0.968472335  -1.923050719
## Oct 1974   0.614401838  -0.164579187  -0.969323435
## Nov 1974   1.148664756   0.614350626  -0.164671924
## Dec 1974   2.290044604   1.148316854   0.613717362
## Jan 1975   2.846311170   2.290520509   1.149172539
## Feb 1975   2.130742886   2.847217938   2.292125099
## Mar 1975   0.884847126   2.130735108   2.847204289
## Apr 1975  -1.031040403   0.884443905   2.130025548
## May 1975  -2.832390242  -1.031344204   0.883906018
## Jun 1975  -2.991912726  -2.831992803  -1.030642764
## Jul 1975  -1.958248269  -2.991489550  -2.831250781
## Aug 1975  -0.971087185  -1.958828253  -2.992503967
## Sep 1975  -0.124857830  -0.971811706  -1.960099974
## Oct 1975   0.622582394  -0.124488707  -0.971158249
## Nov 1975   1.140374007   0.622609632  -0.124439992
## Dec 1975   2.268303023   1.140140569   0.622190226
## Jan 1976   2.859622247   2.269005621   1.141388043
## Feb 1976   2.168067057   2.859539500   2.268860964
## Mar 1976   0.873945307   2.168891499   2.860969736
## Apr 1976  -1.073768711   0.874312524   2.169530570
## May 1976  -2.813903954  -1.073250216   0.875219913
## Jun 1976  -2.995225226  -2.815347518  -1.075768411
## Jul 1976  -1.996113949  -2.996157337  -2.816963022
## Aug 1976  -0.937507383  -1.995708993  -2.995457332
## Sep 1976  -0.157891660  -0.938578572  -1.997567131
## Oct 1976   0.655628512  -0.158468924  -0.939588544
## Nov 1976   1.152801422   0.655102519  -0.159398464
## Dec 1976   2.351359823   1.153411087   0.656184199
## Jan 1977   2.818363750   2.352336309   1.155123922
## Feb 1977   2.128115830   2.819200330   2.353781868
## Mar 1977   0.936476607   2.127497465   2.818139339
## Apr 1977  -1.116708727   0.938965282   2.131782406
## May 1977  -2.832842074  -1.115962769   0.940256312
## Jun 1977  -3.056537210  -2.832094303  -1.114672759
## Jul 1977  -2.008825124  -3.056605863  -2.832211976
## Aug 1977  -0.928363134  -2.009264644  -3.057357123
## Sep 1977  -0.123157164  -0.929332457  -2.010927167
## Oct 1977   0.529435894  -0.122783599  -0.928686229
## Nov 1977   1.261342160   0.529854518  -0.122052303
## Dec 1977   2.353431646   1.261578915   0.530269526
## Jan 1978   2.866091545   2.353443660   1.261599743
## Feb 1978   2.144581760   2.867006156   2.355006482
## Mar 1978   0.946640240   2.144047601   2.866099290
## Apr 1978  -1.184275055   0.947600976   2.145684770
## May 1978  -2.824876956  -1.184216104   0.947701921
## Jun 1978  -3.050579177  -2.825430858  -1.185161554
## Jul 1978  -2.007550204  -3.049591323  -2.823755585
## Aug 1978  -0.962154875  -2.007960137  -3.050284497
## Sep 1978  -0.058129190  -0.962436338  -2.008437667
## Oct 1978   0.457983164  -0.059247019  -0.964349076
## Nov 1978   1.323116144   0.457964003  -0.059280119
## Dec 1978   2.367935604   1.323453556   0.458548597
## Jan 1979   2.802587096   2.368087036   1.323713134
## Feb 1979   2.231111603   2.803078898   2.368918384
## Mar 1979   0.933505920   2.231181569   2.803196475
## Apr 1979  -1.155310476   0.934702339   2.233200043
## May 1979  -2.895469500  -1.155951075   0.933616598
## Jun 1979  -3.061588923  -2.895958062  -1.156776499
## Jul 1979  -2.000962934  -3.060879739  -2.894767650
## Aug 1979  -0.980742979  -2.001621659  -3.061982088
## Sep 1979  -0.039747627  -0.980714712  -2.001574202
## Oct 1979   0.417704676  -0.039923023  -0.981011678
## Nov 1979   1.428173066   0.418226413  -0.039031458
## Dec 1979   2.334639249   1.428243233   0.418346617
## Jan 1980   2.754100764   2.335295439   1.429355753
## Feb 1980   2.308780547   2.754447485   2.335875449
## Mar 1980   0.880556795   2.308690260   2.754297255
## Apr 1980  -1.147783185   0.881592303   2.310420273
## May 1980  -2.935404512  -1.147639751   0.881832995
## Jun 1980  -3.037654258  -2.935382286  -1.147602572
## Jul 1980  -2.036779647  -3.037239126  -2.934692370
## Aug 1980  -0.955302933  -2.037609171  -3.038613339
## Sep 1980  -0.028136459  -0.955412621  -2.037791450
## Oct 1980   0.363753968  -0.027738378  -0.954745549
## Nov 1980   1.494052604   0.363723836  -0.027789325
## Dec 1980   2.333894780   1.494110334   0.363821649
## Jan 1981   2.744407582   2.333594086   1.493605980
## Feb 1981   2.377551526   2.744223374   2.333289069
## Mar 1981   0.821309185   2.378722813   2.746153398
## Apr 1981  -1.165084103   0.821518152   2.379068593
## May 1981  -2.905989736  -1.164999420   0.821658873
## Jun 1981  -3.047368961  -2.906093263  -1.165170917
## Jul 1981  -2.021514913  -3.047794198  -2.906793095
## Aug 1981  -0.981052613  -2.022112267  -3.048774024
## Sep 1981  -0.094297865  -0.981999651  -2.023670325
## Oct 1981   0.442537671  -0.094506245  -0.982345305
## Nov 1981   1.498817276   0.442675746  -0.094275220
## Dec 1981   2.353974522   1.499461702   0.443755837
## Jan 1982   2.768711092   2.354499334   1.500332692
## Feb 1982   2.386302217   2.768946668   2.354885494
## Mar 1982   0.826767991   2.386659923   2.769530436
## Apr 1982  -1.227683114   0.826685255   2.386524321
## May 1982  -2.931094871  -1.227416617   0.827123835
## Jun 1982  -3.078413906  -2.930588481  -1.226585824
## Jul 1982  -2.006036578  -3.079098601  -2.931704442
## Aug 1982  -0.964073414  -2.006346371  -3.079601775
## Sep 1982  -0.099176319  -0.964523316  -2.007079205
## Oct 1982   0.471836274  -0.099736355  -0.965442935
## Nov 1982   1.475135596   0.471731227  -0.099910296
## Dec 1982   2.361904720   1.474901795   0.471343563
## Jan 1983   2.852944130   2.362071989   1.475176487
## Feb 1983   2.348682846   2.852768925   2.361787663
## Mar 1983   0.842227087   2.349343810   2.853837248
## Apr 1983  -1.228821309   0.841784956   2.348626070
## May 1983  -2.966295475  -1.227633279   0.843721249
## Jun 1983  -3.072276008  -2.965633848  -1.226558264
## Jul 1983  -2.038874409  -3.072018467  -2.965218150
## Aug 1983  -0.948487635  -2.038849739  -3.071978790
## Sep 1983  -0.156727266  -0.948296525  -2.038541542
## Oct 1983   0.537160120  -0.157204988  -0.949073054
## Nov 1983   1.350309348   0.537041305  -0.157399681
## Dec 1983   2.431984905   1.350408078   0.537203253
## Jan 1984   2.882671327   2.432280517   1.350888422
## Feb 1984   2.362954301   2.882916920   2.432675056
## Mar 1984   0.837474893   2.362916688   2.882856715
## Apr 1984  -1.180859808   0.837238249   2.362536238
## May 1984  -3.007174088  -1.180342483   0.838073164
## Jun 1984  -3.087357904  -3.007180850  -1.180353363
## Jul 1984  -2.049689977  -3.087624591  -3.007607089
## Aug 1984  -0.937265958  -2.049756499  -3.087730515
## Sep 1984  -0.135052479  -0.937469489  -2.050081423
## Oct 1984   0.539610318  -0.135655908  -0.938440306
## Nov 1984   1.299236565   0.539646868  -0.135596646
## Dec 1984   2.491652999   1.299603613   0.540242402
## Jan 1985   2.894724017   2.492330840   1.300693286
## Feb 1985   2.345498133   2.894480693   2.491943950
## Mar 1985   0.854304584   2.345542648   2.894551240
## Apr 1985  -1.164065957   0.855041974   2.346716436
## May 1985  -3.075489860  -1.164410753   0.854491065
## Jun 1985  -3.109239879  -3.075536813  -1.164485543
## Jul 1985  -2.057470911  -3.109478280  -3.075914022
## Aug 1985  -0.861277095  -2.057988897  -3.110294704
## Sep 1985  -0.180421776  -0.861193088  -2.057856166
## Oct 1985   0.506406571  -0.180374671  -0.861118098
## Nov 1985   1.401678775   0.506204979  -0.180697992
## Dec 1985   2.453726542   1.401819903   0.506431422
## Jan 1986   2.919359515   2.453867921   1.402044697
## Feb 1986   2.356421176   2.919266061   2.453720890
## Mar 1986   0.797361314   2.356267237   2.919024592
## Apr 1986  -1.148828332   0.797043776   2.355766930
## May 1986  -3.060202831  -1.148492210   0.797575289
## Jun 1986  -3.144289790  -3.059982957  -1.148145596
## Jul 1986  -2.046882521  -3.144304221  -3.060005555
## Aug 1986  -0.838777485  -2.047189979  -3.144783741
## Sep 1986  -0.179583286  -0.839157990  -2.047784788
## Oct 1986   0.509177119  -0.178614149  -0.837631838
## Nov 1986   1.341690778   0.508883605  -0.179079661
## Dec 1986   2.481793730   1.341734403   0.508952803
## Jan 1987   2.943722234   2.481750508   1.341666455
## Feb 1987   2.375286420   2.944169571   2.482446644
## Mar 1987   0.777691022   2.374856155   2.943501811
## Apr 1987  -1.256697312   0.777449194   2.374479177
## May 1987  -2.918420239  -1.256467833   0.777808175
## Jun 1987  -3.200913555  -2.918163645  -1.256067684
## Jul 1987  -2.037555365  -3.200928046  -2.918186091
## Aug 1987  -0.871996417  -2.037465738  -3.200789786
## Sep 1987  -0.089688768  -0.872051412  -2.037550756
## Oct 1987   0.463643427  -0.089711507  -0.872086817
## Nov 1987   1.298077976   0.463837710  -0.089406937
## Dec 1987   2.493464422   1.298223473   0.464065767
## Jan 1988   2.970573717   2.493439915   1.298185397
## Feb 1988   2.360933316   2.970855619   2.493873624
## Mar 1988   0.792675217   2.361516006   2.971749903
## Apr 1988  -1.267784998   0.792755928   2.361640424
## May 1988  -2.940620143  -1.267901759   0.792575329
## Jun 1988  -3.190697624  -2.940605842  -1.267879710
## Jul 1988  -2.028359508  -3.190681279  -2.940580811
## Aug 1988  -0.911830939  -2.028040401  -3.190194652
## Sep 1988  -0.102627259  -0.912034748  -2.028351830
## Oct 1988   0.527953159  -0.102697202  -0.912142369
## Nov 1988   1.306820205   0.528365763  -0.102058206
## Dec 1988   2.474164852   1.306782453   0.528307322
## Jan 1989   2.969733867   2.474099519   1.306682191
## Feb 1989   2.338210734   2.970132843   2.474706031
## Mar 1989   0.851895385   2.338031497   2.969860974
## Apr 1989  -1.303381407   0.851595624   2.337574822
## May 1989  -2.982890117  -1.303221734   0.851839666
## Jun 1989  -3.128115968  -2.983141517  -1.303604739
## Jul 1989  -2.041977543  -3.128229746  -2.983313666
## Aug 1989  -0.951712063  -2.042047920  -3.128335773
## Sep 1989  -0.022962349  -0.951887474  -2.042312687
## Oct 1989   0.521554949  -0.023189633  -0.952232855
## Nov 1989   1.259680195   0.521668148  -0.023016554
## Dec 1989   2.531694175   1.259734648   0.521751349
## Jan 1990   2.943071767   2.531823040   1.259929853
## Feb 1990   2.337659461   2.943039502   2.531774608
## Mar 1990   0.864154274   2.338084420   2.943676113
## Apr 1990  -1.308867401   0.864155864   2.338086813
## May 1990  -3.026838782  -1.309457737   0.863264947
## Jun 1990  -3.114720884  -3.026734530  -1.309300918
## Jul 1990  -2.050782419  -3.115047917  -3.027223061
## Aug 1990  -0.937011208  -2.051030761  -3.115417279
## Sep 1990  -0.068756899  -0.936942619  -2.050928569
## Oct 1990   0.599128611  -0.068787378  -0.936988327
## Nov 1990   1.311277426   0.599313125  -0.068509059
## Dec 1990   2.437113086   1.311537515   0.599705066
## Jan 1991   3.012653634   2.437236020   1.311721194
## Feb 1991   2.306706528   3.012356966   2.436796652
## Mar 1991   0.823831363   2.306651773   3.012276018
## Apr 1991  -1.294721981   0.824292816   2.307336865
## May 1991  -3.059413680  -1.294408217   0.824759999
## Jun 1991  -3.114371711  -3.059466723  -1.294486929
## Jul 1991  -2.021426605  -3.114692867  -3.059939984
## Aug 1991  -0.894045496  -2.021954907  -3.115467926
## Sep 1991  -0.125006948  -0.894484560  -2.022600093
## Oct 1991   0.544277947  -0.125162860  -0.894715109
## Nov 1991   1.360317708   0.544242294  -0.125215872
## Dec 1991   2.496053225   1.360470791   0.544469623
## Jan 1992   3.046248342   2.496164900   1.360635229
## Feb 1992   2.323620419   3.046451233   2.496461112
## Mar 1992   0.795596719   2.323753544   3.046645277
## Apr 1992  -1.338774427   0.795528559   2.323653780
## May 1992  -3.076360300  -1.338809579   0.795476968
## Jun 1992  -3.139915162  -3.076489126  -1.338997996
## Jul 1992  -2.012605462  -3.139756134  -3.076258171
## Aug 1992  -0.905085546  -2.013102131  -3.140474194
## Sep 1992  -0.105534013  -0.905381462  -2.013530595
## Oct 1992   0.572658382  -0.105867596  -0.905867392
## Nov 1992   1.353425133   0.572748951  -0.105734985
## Dec 1992   2.508946109   1.353329379   0.572608961
## Jan 1993   3.019444201   2.508931681   1.353308463
## Feb 1993   2.426109612   3.019754087   2.509377231
## Mar 1993   0.742783205   2.425946682   3.019520168
## Apr 1993  -1.339930474   0.742881279   2.426088060
## May 1993  -3.139713474  -1.340167168   0.742539214
## Jun 1993  -3.102771380  -3.139639429  -1.340060546
## Jul 1993  -2.039319640  -3.102840478  -3.139738224
## Aug 1993  -0.940650841  -2.039713114  -3.103400491
## Sep 1993  -0.026256760  -0.940639527  -2.039696989
## Oct 1993   0.526169397  -0.026200794  -0.940559300
## Nov 1993   1.407671066   0.526162480  -0.026210757
## Dec 1993   2.454756393   1.407741664   0.526263985
## Jan 1994   3.060436976   2.454952188   1.408020824
## Feb 1994   2.460259932   3.060691351   2.455311980
## Mar 1994   0.663087515   2.460369487   3.060846105
## Apr 1994  -1.334427160   0.663169409   2.460485625
## May 1994  -3.132537117  -1.334347416   0.663282759
## Jun 1994  -3.124056810  -3.132670565  -1.334536389
## Jul 1994  -2.059445786  -3.124305408  -3.133020087
## Aug 1994  -0.940049509  -2.059404284  -3.124247327
## Sep 1994   0.002946801  -0.940045788  -2.059399070
## Oct 1994   0.528948545   0.002924817  -0.940076764
## Nov 1994   1.415941747   0.529062160   0.003085612
## Dec 1994   2.494811963   1.416125902   0.529322245
## Jan 1995   3.063186797   2.494998332   1.416386923
## Feb 1995   2.405036203   3.063196437   2.495011729
## Mar 1995   0.678815306   2.405204002   3.063429362
## Apr 1995  -1.337603655   0.678868761   2.405278488
## May 1995  -3.161617094  -1.337451625   0.679081038
## Jun 1995  -3.131714747  -3.161709341  -1.337579923
## Jul 1995  -2.051718364  -3.131736745  -3.161739715
## Aug 1995  -0.911951576  -2.051697716  -3.131708368
## Sep 1995  -0.028385863  -0.912224450  -2.052073180
## Oct 1995   0.554895823  -0.028147087  -0.911894162
## Nov 1995   1.402714279   0.554833574  -0.028233540
## Dec 1995   2.542911514   1.402816275   0.554974888
## Jan 1996   3.040797368   2.542929080   1.402840410
## Feb 1996   2.406486270   3.040986196   2.543186581
## Mar 1996   0.718990481   2.406785174   3.041393378
## Apr 1996  -1.437640131   0.719079743   2.406907220
## May 1996  -3.090795103  -1.438020043   0.718559376
## Jun 1996  -3.174761282  -3.090979777  -1.438271953
## Jul 1996  -2.035772356  -3.174678025  -3.090867036
## Aug 1996  -0.949446332  -2.035642498  -3.174503005
## Sep 1996  -0.029594557  -0.949446118  -2.035642210
## Oct 1996   0.617809307  -0.029751908  -0.949659489
## Nov 1996   1.479083090   0.617741911  -0.029843628
## Dec 1996   2.473073810   1.479085629   0.617745357
## Jan 1997   2.993413774   2.473140472   1.479175353
## Feb 1997   2.415548382   2.993353395   2.473059795
## Mar 1997   0.752986227   2.415613952   2.993440925
## Apr 1997  -1.415448622   0.752768241   2.415321933
## May 1997  -3.119499412  -1.415215415   0.753081112
## Jun 1997  -3.187466108  -3.119560349  -1.415296816
## Jul 1997  -2.041792078  -3.187750711  -3.119937724
## Aug 1997  -0.922907580  -2.041786983  -3.187743987
## Sep 1997  -0.053476476  -0.922904043  -2.041782311
## Oct 1997   0.668071784  -0.053636567  -0.923116529
## Nov 1997   1.384312576   0.668213214  -0.053448251
## Dec 1997   2.564397836   1.384548066   0.668525821
## Jan 1998   3.017404008   2.564752412   1.385014841
## Feb 1998   2.340982686   3.017495691   2.564872254
## Mar 1998   0.768543021   2.340953402   3.017457446
## Apr 1998  -1.394809073   0.768703375   2.341163532
## May 1998  -3.201209460  -1.394695522   0.768852344
## Jun 1998  -3.198711677  -3.201091883  -1.394541973
## Jul 1998  -2.051271604  -3.198620985  -3.200974328
## Aug 1998  -0.853149430  -2.051120336  -3.198425836
## Sep 1998  -0.046459492  -0.853031234  -2.050967718
## Oct 1998   0.620687578  -0.046526195  -0.853117746
## Nov 1998   1.403768863   0.620752023  -0.046442381
## Dec 1998   2.562392584   1.403733160   0.620705747
## Jan 1999   3.022269098   2.562490389   1.403858871
## Feb 1999   2.329342086   3.022349093   2.562592502
## Mar 1999   0.787218661   2.329419230   3.022447493
## Apr 1999  -1.357666782   0.787103515   2.329271892
## May 1999  -3.238494492  -1.357712067   0.787045523
## Jun 1999  -3.173972960  -3.238751203  -1.358039223
## Jul 1999  -2.086979589  -3.174117153  -3.238933579
## Aug 1999  -0.838682640  -2.086822037  -3.173918822
## Sep 1999  -0.036425107  -0.838822604  -2.086998368
## Oct 1999   0.667243633  -0.036621952  -0.839071628
## Nov 1999   1.386122298   0.667304779  -0.036544423
## Dec 1999   2.611318241   1.386201590   0.667404938
## Jan 2000   2.970915061   2.611348401   1.386239369
## Feb 2000   2.273038336   2.971018518   2.611477126
## Mar 2000   0.877730383   2.272865631   2.970803773
## Apr 2000  -1.372027165   0.877726652   2.272860979
## May 2000  -3.309697428  -1.372071967   0.877670759
## Jun 2000  -3.162901100  -3.309971135  -1.372411688
## Jul 2000  -2.072848427  -3.162767884  -3.309807052
## Aug 2000  -0.847670105  -2.072996560  -3.162949480
## Sep 2000   0.032525583  -0.847600614  -2.072911310
## Oct 2000   0.612746456   0.032798007  -0.847265128
## Nov 2000   1.413703252   0.612767975   0.032824555
## Dec 2000   2.652075538   1.413749552   0.612824857
## Jan 2001   2.857808345   2.652072876   1.413746309
## Feb 2001   2.357508170   2.857776756   2.652034643
## Mar 2001   0.795034873   2.357569049   2.857850394
## Apr 2001  -1.402964952   0.795060852   2.357600558
## May 2001  -3.229399913  -1.403107908   0.794887469
## Jun 2001  -3.180687499  -3.229411897  -1.403122363
## Jul 2001  -2.057096379  -3.180776845  -3.229518832
## Aug 2001  -0.845934409  -2.057228738  -3.180934517
## Sep 2001   0.009471186  -0.845930622  -2.057224225
## Oct 2001   0.636545544   0.009559655  -0.845824797
## Nov 2001   1.454446795   0.636610320   0.009637236
## Dec 2001   2.608669212   1.454494946   0.636667726
## Jan 2002   2.887868823   2.608730740   1.454567677
## Feb 2002   2.355877172   2.887986118   2.608868518
## Mar 2002   0.747333597   2.355893525   2.888005316
## Apr 2002  -1.418964568   0.747329708   2.355888948
## May 2002  -3.217094424  -1.419092213   0.747179551
## Jun 2002  -3.178520336  -3.217045288  -1.419034748
## Jul 2002  -2.063719576  -3.178449722  -3.216963355
## Aug 2002  -0.854651111  -2.063709833  -3.178438471
## Sep 2002   0.046150845  -0.854680104  -2.063743335
## Oct 2002   0.641596654   0.046307663  -0.854498324
## Nov 2002   1.480105576   0.641548663   0.046251993
## Dec 2002   2.545439839   1.480216126   0.641676254
## Jan 2003   2.896032443   2.545544848   1.480336283
## Feb 2003   2.376580993   2.896086634   2.545606476
## Mar 2003   0.745939164   2.376603365   2.896112065
## Apr 2003  -1.469846185   0.745897679   2.376556106
## May 2003  -3.150270060  -1.469843401   0.745900848
## Jun 2003  -3.241236842  -3.150163273  -1.469722624
## Jul 2003  -2.047549253  -3.241178767  -3.150098117
## Aug 2003  -0.835096550  -2.047556605  -3.241186977
## Sep 2003   0.056086675  -0.835171908  -2.047640802
## Oct 2003   0.655700255   0.056142841  -0.835108978
## Nov 2003   1.455689746   0.655698977   0.056141410
## Dec 2003   2.518317534   1.455740242   0.655755248
## Jan 2004   2.924793055   2.518328575   1.455752439
## Feb 2004   2.397836702   2.924784446   2.518319122
## Mar 2004   0.755803818   2.397869113   2.924820022
## Apr 2004  -1.515457043   0.755833026   2.397901233
## May 2004  -3.124732211  -1.515373568   0.755924686
## Jun 2004  -3.260008311  -3.124780992  -1.515426776
## Jul 2004  -2.029908530  -3.260180998  -3.124967809
## Aug 2004  -0.833973447  -2.030176781  -3.260469862
## Sep 2004   0.040899319  -0.833903097  -2.030100992
## Oct 2004   0.659285694   0.040858928  -0.833946716
## Nov 2004   1.448750126   0.659319338   0.040895241
## Dec 2004   2.578727678   1.448849878   0.659426352
## Jan 2005   2.960505161   2.578769718   1.448894582
## Feb 2005   2.399010749   2.960501339   2.578765676
## Mar 2005   0.634350091   2.399143914   2.960642078
## Apr 2005  -1.458063960   0.634429842   2.399228330
## May 2005  -3.163257869  -1.457971024   0.634528007
## Jun 2005  -3.275406433  -3.163318192  -1.458034285
## Jul 2005  -2.002688739  -3.275390544  -3.163301668
## Aug 2005  -0.830440739  -2.002645572  -3.275345858
## Sep 2005  -0.008597736  -0.830439803  -2.002644603
## Oct 2005   0.690480537  -0.008722437  -0.830569203
## Nov 2005   1.450147939   0.690494722  -0.008707735
## Dec 2005   2.631791420   1.450137160   0.690483624
## Jan 2006   2.919186901   2.631896371   1.450244248
## Feb 2006   2.399678597   2.919302508   2.632013670
## Mar 2006   0.659703491   2.399714193   2.919338615
## Apr 2006  -1.424394414   0.659602545   2.399611681
## May 2006  -3.227126910  -1.424290718   0.659707562
## Jun 2006  -3.263956688  -3.227089983  -1.424253609
## Jul 2006  -2.048572780  -3.264092427  -3.227225226
## Aug 2006  -0.816980923  -2.048631283  -3.264150454
## Sep 2006   0.031059785  -0.817031679  -2.048681642
## Oct 2006   0.723713341   0.031061380  -0.817030094
## Nov 2006   1.366496307   0.723755256   0.031102952
## Dec 2006   2.687600338   1.366431795   0.723691735
## Jan 2007   2.977429961   2.687639088   1.366469601
## Feb 2007   2.351812580   2.977464937   2.687673027
## Mar 2007   0.657848851   2.351866076   2.977516834
## Apr 2007  -1.446329064   0.657844227   2.351861587
## May 2007  -3.232861507  -1.446231671   0.657938455
## Jun 2007  -3.225197052  -3.232912348  -1.446280452
## Jul 2007  -2.100794809  -3.225216025  -3.232930392
## Aug 2007  -0.807516435  -2.100816408  -3.225236475
## Sep 2007   0.026832218  -0.807647808  -2.100940831
## Oct 2007   0.743912820   0.026912096  -0.807572071
## Nov 2007   1.330632104   0.743948711   0.026946033
## Dec 2007   2.757510727   1.330655735   0.743970879
## Jan 2008   2.952507307   2.757527994   1.330671781
## Feb 2008   2.360391439   2.952644820   2.757655113
## Mar 2008   0.687168312   2.360315386   2.952574529
## Apr 2008  -1.543017730   0.687020082   2.360178342
## May 2008  -3.194964645  -1.543190421   0.686861096
## Jun 2008  -3.223757502  -3.194797257  -1.543037704
## Jul 2008  -2.104466860  -3.223760795  -3.194800235
## Aug 2008  -0.840415920  -2.104441939  -3.223738361
## Sep 2008   0.137349297  -0.840451964  -2.104474393
## Oct 2008   0.752652202   0.137457935  -0.840354087
## Nov 2008   1.307772260   0.752630003   0.137438006
## Dec 2008   2.615875897   1.307743216   0.752604156
## Jan 2009   3.060239540   2.615855794   1.307725496
## Feb 2009   2.335351064   3.060282656   2.615893603
## Mar 2009   0.706411047   2.335318666   3.060254251
## Apr 2009  -1.602530189   0.706525964   2.335419407
## May 2009  -3.121069569  -1.602634940   0.706434601
## Jun 2009  -3.234561944  -3.121114445  -1.602673699
## Jul 2009  -2.114578952  -3.234596643  -3.121144135
## Aug 2009  -0.864128829  -2.114589359  -3.234605510
## Sep 2009   0.169952260  -0.864091154  -2.114557254
## Oct 2009   0.695897553   0.169972329  -0.864074051
## Nov 2009   1.419813654   0.695835665   0.169919827
## Dec 2009   2.564452204   1.419849723   0.695865974
## Jan 2010   3.057108314   2.564466981   1.419862017
## Feb 2010   2.320999576   3.057131395   2.564486090
## Mar 2010   0.688977201   2.321168652   3.057271355
## Apr 2010  -1.583748628   0.689059384   2.321236638
## May 2010  -3.092250177  -1.583720734   0.689082321
## Jun 2010  -3.290558815  -3.092263321  -1.583731428
## Jul 2010  -2.098361791  -3.290614243  -3.092307982
## Aug 2010  -0.882103984  -2.098479983  -3.290709073
## Sep 2010   0.109063400  -0.882105125  -2.098480899
## Oct 2010   0.760559416   0.109034722  -0.882128127
## Nov 2010   1.444276643   0.760629621   0.109090716
## Dec 2010   2.584813363   1.444321442   0.760664980
## Jan 2011   3.077706219   2.584782502   1.444297333
## Feb 2011   2.336324038   3.077758586   2.584823216
## Mar 2011   0.623193218   2.336296730   3.077737356
## Apr 2011  -1.566862348   0.623163370   2.336273554
## May 2011  -3.141879170  -1.566993923   0.623061930
## Jun 2011  -3.260684292  -3.141874451  -1.566990327
## Jul 2011  -2.067440804  -3.260657552  -3.141854276
## Aug 2011  -0.924823185  -2.067371239  -3.260605285
## Sep 2011   0.161593004  -0.924860232  -2.067399076
## Oct 2011   0.760840627   0.161641901  -0.924823532
## Nov 2011   1.482591280   0.760837615   0.161639655
## Dec 2011   2.497626999   1.482577917   0.760827767
## Jan 2012   3.078348154   2.497669847   1.482609161
## Feb 2012   2.325920305   3.078366165   2.497682919
## Mar 2012   0.677160751   2.325921152   3.078366780
## Apr 2012  -1.619519753   0.677102408   2.325878889
## May 2012  -3.104684826  -1.619437922   0.677161196
## Jun 2012  -3.265766498  -3.104683813  -1.619437203
## Jul 2012  -2.096456048  -3.265841094  -3.104736174
## Aug 2012  -0.901884015  -2.096463277  -3.265846148
## Sep 2012   0.171835456  -0.901857284  -2.096444587
## Oct 2012   0.778597016   0.171855484  -0.901843307
## Nov 2012   1.408102507   0.778595938   0.171854737
## Dec 2012   2.565773232   1.408200727   0.778663070
## Jan 2013   3.103689386   2.565814710   1.408228764
## Feb 2013   2.274510091   3.103699061   2.565821220
## Mar 2013   0.666197505   2.274592002   3.103754177
## Apr 2013  -1.611638665   0.666201904   2.274594954
## May 2013  -3.103312020  -1.611695718   0.666163980
## Jun 2013  -3.319037973  -3.103226842  -1.611639885
## Jul 2013  -2.049144206  -3.319091994  -3.103261864
## Aug 2013  -0.895624029  -2.049145925  -3.319093104
## Sep 2013   0.135932352  -0.895626193  -2.049147323
## Oct 2013   0.836238731   0.135875081  -0.895663080
## Nov 2013   1.422338894   0.836251548   0.135883258
## Dec 2013   2.488569100   1.422348233   0.836257423
## Jan 2014   3.198390756   2.488627188   1.422384348
## Feb 2014   2.227816021   3.198383530   2.488622715
## Mar 2014   0.676699678   2.227710053   3.198317935
## Apr 2014  -1.587033934   0.676795858   2.227769387
## May 2014  -3.152749237  -1.586937151   0.676854900
## Jun 2014  -3.312068079  -3.152778961  -1.586955007
## Jul 2014  -2.069627392  -3.312041441  -3.152763145
## Aug 2014  -0.843537451  -2.069737454  -3.312106536
## Sep 2014   0.163818812  -0.843582677  -2.069764203
## Oct 2014   0.703200926   0.163765103  -0.843614331
## Nov 2014   1.462001089   0.703272765   0.163806970
## Dec 2014   2.565556184   1.462005264   0.703275160
## Jan 2015   3.161616698   2.565599054   1.462029556
## Feb 2015   2.311220319   3.161622021   2.565602058
## Mar 2015   0.616143180   2.311169985   3.161593620
## Apr 2015  -1.587783056   0.616161562   2.311180312
## May 2015  -3.225463262  -1.587725247   0.616193620
## Jun 2015  -3.255773420  -3.225435828  -1.587710293
## Jul 2015  -2.097047849  -3.255837476  -3.225470313
## Aug 2015  -0.809944226  -2.097072937  -3.255850932
## Sep 2015   0.184754363  -0.810000063  -2.097102884
## Oct 2015   0.648085556   0.184758352  -0.809997934
## Nov 2015   1.451978647   0.648164921   0.184800168
## Dec 2015   2.602156844   1.452075005   0.648214800
## Jan 2016   3.213088250   2.602241265   1.452118131
## Feb 2016   2.273909792   3.213048062   2.602220818
## Mar 2016   0.630523998   2.274017646   3.213102938
## Apr 2016  -1.641631124   0.630542716   2.274027118
## May 2016  -3.269034775  -1.641455819   0.630630093
## Jun 2016  -3.252219360  -3.269035176  -1.641456015
## Jul 2016  -2.073955337  -3.252246317  -3.269048178
## Aug 2016  -0.745965164  -2.074100345  -3.252316009
## Sep 2016   0.075960687  -0.746031780  -2.074132360
## Oct 2016   0.713158697   0.075967519  -0.746028515
## Nov 2016   1.359467235   0.713212284   0.075992728
## Dec 2016   2.751586045   1.359566175   0.713257904
## Jan 2017   3.219944779   2.751543254   1.359546725
## Feb 2017   2.336270540   3.220022502   2.751578444
## Mar 2017   0.547486736   2.336229936   3.220004117
## Apr 2017  -1.688609430   0.547474438   2.336224406
## May 2017  -3.293134940  -1.688600764   0.547478267
## Jun 2017  -3.260416124  -3.293129943  -1.688598604
## Jul 2017  -1.980301884  -3.260430164  -3.293135922
## Aug 2017  -0.835905635  -1.980328334  -3.260441390
## Sep 2017   0.171409474  -0.835911402  -1.980330781
## Oct 2017   0.674026821   0.171362868  -0.835931037
## Nov 2017   1.349466448   0.674012033   0.171356752
## Dec 2017   2.760612421   1.349464363   0.674011190
## Jan 2018   3.234728242   2.760658944   1.349482874
## Feb 2018   2.340413511   3.234741291   2.760664116
## Mar 2018   0.535198630   2.340375555   3.234726244
## Apr 2018  -1.661493185   0.535209952   2.340380006
## May 2018  -3.325470564  -1.661583503   0.535175186
## Jun 2018  -3.270694047  -3.325464695  -1.661581301
## Jul 2018  -2.007311700  -3.270656482  -3.325450824
## Aug 2018  -0.797136295  -2.007356878  -3.270673107
## Sep 2018   0.199508468  -0.797120223  -2.007350964
## Oct 2018   0.641240109   0.199519648  -0.797116147
## Nov 2018   1.417557921   0.641274839   0.199532032
## Dec 2018   2.671001490   1.417643451   0.641304531
## Jan 2019   3.235461050   2.670992842   1.417640501
## Feb 2019   2.398640047   3.235527996   2.671015595
## Mar 2019   0.475862090   2.398704462   3.235549891
## Apr 2019  -1.653835574   0.475792359   2.398681007
## May 2019  -3.348914666  -1.653876019   0.475779096
## Jun 2019  -3.294152204  -3.348860534  -1.653858788
## Jul 2019  -1.936934596  -3.294137764  -3.348856022
## Aug 2019  -0.864704685  -1.936986973  -3.294154077
## Sep 2019   0.231814683  -0.864708382  -1.936988124
## Oct 2019   0.736678267   0.231825387  -0.864705087
## Nov 2019   1.361016847   0.736650056   0.231816936
## Dec 2019   2.609392617   1.361026989   0.736652999
## Jan 2020   3.290899351   2.609425625   1.361036375
## Feb 2020   2.437089340   3.290952514   2.609440688
## Mar 2020   0.425366404   2.437113713   3.290959421
## Apr 2020  -1.653305219   0.425324229   2.437101919
## May 2020  -3.322609131  -1.653292477   0.425327682
## Jun 2020  -3.335126965  -3.322605515  -1.653291532
## Jul 2020  -1.950602982  -3.335130950  -3.322606535
## Aug 2020  -0.869805526  -1.950626816  -3.335137028
## Sep 2020   0.266875486  -0.869809013  -1.950627705
## Oct 2020   0.776818871   0.266900836  -0.869802645
## Nov 2020   1.307502832   0.776806388   0.266897806
## Dec 2020   2.627430281   1.307500594   0.776805866
## Jan 2021   3.298146205   2.627412414   1.307496524
## Feb 2021   2.447698055   3.298130482   2.627408845
## Mar 2021   0.402161342   2.447753181   3.298142999
## Apr 2021  -1.667501359   0.402202708   2.447762412
## May 2021  -3.287726885  -1.667499480   0.402203111
## Jun 2021  -3.348197026  -3.287817244  -1.667517994
## Jul 2021  -1.939245686  -3.348177586  -3.287813365
## Aug 2021  -0.884914318  -1.939256707  -3.348179778
## Sep 2021   0.213189536  -0.884988411  -1.939271441
## Oct 2021   0.809848727   0.213190236  -0.884988275
## Nov 2021   1.350065180   0.809907786   0.213201239
## Dec 2021   2.681524794   1.350029491   0.809901470
## Jan 2022   3.195565888   2.681559853   1.350035509
## Feb 2022   2.499468023   3.195599653   2.681565630
## Mar 2022   0.436426077   2.499516726   3.195607989
## Apr 2022  -1.748862879   0.436308954   2.499497157
## May 2022  -3.311740965  -1.748921686   0.436299648
## Jun 2022  -3.267805001  -3.311754217  -1.748923658
## Jul 2022  -2.015526315  -3.267756568  -3.311747257
## Aug 2022  -0.867677898  -2.015530137  -3.267757115
## Sep 2022   0.226317115  -0.867647842  -2.015525833
## Oct 2022   0.942965300   0.226343662  -0.867644149
## Nov 2022   1.259857250   0.942931117   0.226339204
## Dec 2022   2.642266254   1.259873727   0.942933114
## Jan 2023   3.158186920   2.642292950   1.259876826
## Feb 2023   2.551722445   3.158109900   2.642284038
## Mar 2023   0.400192350   2.551683242   3.158105361
## Apr 2023  -1.731471288   0.400196811   2.551683740
## May 2023  -3.266784647  -1.731388462   0.400205318
## Jun 2023  -3.321761800  -3.266753010  -1.731385506
## Jul 2023  -1.999416217  -3.321740720  -3.266751143
## Aug 2023  -0.782548101  -1.999397085  -3.321739032
## Sep 2023   0.162461145  -0.782563786  -1.999398468
## Oct 2023   0.898550737   0.162472218  -0.782562856
## Nov 2023   1.207466878   0.898573060   0.162473898
## Dec 2023   2.705887444   1.207488112   0.898574465
## Jan 2024   3.160206915   2.705893826   1.207488503
## Feb 2024   2.556032472   3.160187456   2.705892637
## Mar 2024   0.425919615   2.556109665   3.160192177
## Apr 2024  -1.764110255   0.425984255   2.556113343
## May 2024  -3.271430853  -1.764145322   0.425982572
## Jun 2024  -3.315657704  -3.271474395  -1.764147015
## Jul 2024  -1.985138095  -3.315632820  -3.271473544
## Aug 2024  -0.777761134  -1.985068935  -3.315630464
## Sep 2024   0.075266093  -0.777793253  -1.985070028
## Oct 2024   0.946443745   0.075286380  -0.777792650
## Nov 2024   1.296458885   0.946471162   0.075286956
## Dec 2024   2.680490336   1.296462245   0.946471203
## Jan 2025   3.089353632   2.680504288   1.296462349
## Feb 2025   2.544760451   3.089377801   2.680504466
## Mar 2025   0.519925229   2.544704356   3.089377384
## Apr 2025  -1.833229096   0.519952243   2.544704440
## May 2025  -3.264719413  -1.833227944   0.519952236
## Jun 2025  -3.292704488  -3.264694759  -1.833228306
## Jul 2025  -1.998976055  -3.292751416  -3.264693860
## Aug 2025  -0.773939802  -1.998988528  -3.292751177
## Sep 2025   0.138859711  -0.773968859  -1.998987971

kalman_out$alphahat

##             level      slope   sea_dummy1   sea_dummy2   sea_dummy3
## Mar 1958 314.5417 0.07917820  1.285817035  0.740661162  0.001769017
## Apr 1958 314.7768 0.07915253  2.511326512  1.285817035  0.740661162
## May 1958 314.7972 0.07913654  2.870797423  2.511326512  1.285817035
## Jun 1958 315.0272 0.07909573  2.299525909  2.870797423  2.511326512
## Jul 1958 315.3324 0.07901769  0.685093947  2.299525909  2.870797423
## Aug 1958 315.8334 0.07887021 -1.233116059  0.685093947  2.299525909
## Sep 1958 315.8966 0.07872531 -2.873138911 -1.233116059  0.685093947
## Oct 1958 315.7122 0.07862372 -3.273437881 -2.873138911 -1.233116059
## Nov 1958 315.5524 0.07856136 -2.076723539 -3.273437881 -2.873138911
## Dec 1958 315.5860 0.07850639 -0.938574614 -2.076723539 -3.273437881
## Jan 1959 315.5897 0.07846375  0.001769017 -0.938574614 -2.076723539
## Feb 1959 315.6086 0.07843091  0.736320343  0.001769017 -0.938574614
## Mar 1959 315.4348 0.07843958  1.300476264  0.736320343  0.001769017
## Apr 1959 315.3742 0.07847114  2.489194844  1.300476264  0.736320343
## May 1959 315.5038 0.07849427  2.886351251  2.489194844  1.300476264
## Jun 1959 315.7665 0.07848709  2.292430981  2.886351251  2.489194844
## Jul 1959 315.9082 0.07846952  0.706076716  2.292430981  2.886351251
## Aug 1959 316.1484 0.07842532 -1.256033960  0.706076716  2.292430981
## Sep 1959 316.5111 0.07833434 -2.875430410 -1.256033960  0.706076716
## Oct 1959 316.6025 0.07824121 -3.270547795 -2.875430410 -1.256033960
## Nov 1959 316.6964 0.07814550 -2.065818180 -3.270547795 -2.875430410
## Dec 1959 316.5520 0.07808642 -0.946045104 -2.065818180 -3.270547795
## Jan 1960 316.4420 0.07805829  0.008809420 -0.946045104 -2.065818180
## Feb 1960 316.3595 0.07805659  0.717685622  0.008809420 -0.946045104
## Mar 1960 316.4059 0.07806009  1.321499087  0.717685622  0.008809420
## Apr 1960 316.6480 0.07803660  2.470804069  1.321499087  0.717685622
## May 1960 317.0079 0.07796671  2.907375800  2.470804069  1.321499087
## Jun 1960 317.2155 0.07787549  2.272162748  2.907375800  2.470804069
## Jul 1960 317.3005 0.07778310  0.732498574  2.272162748  2.907375800
## Aug 1960 317.1903 0.07772165 -1.267324370  0.732498574  2.272162748
## Sep 1960 317.1105 0.07768612 -2.896300697 -1.267324370  0.732498574
## Oct 1960 317.0894 0.07766685 -3.253337719 -2.896300697 -1.267324370
## Nov 1960 317.0763 0.07766251 -2.069199583 -3.253337719 -2.896300697
## Dec 1960 317.0726 0.07767157 -0.945738042 -2.069199583 -3.253337719
## Jan 1961 316.9851 0.07770780  0.012837398 -0.945738042 -2.069199583
## Feb 1961 317.0410 0.07774763  0.700015975  0.012837398 -0.945738042
## Mar 1961 317.1514 0.07778209  1.346543182  0.700015975  0.012837398
## Apr 1961 317.2059 0.07782037  2.457765683  1.346543182  0.700015975
## May 1961 317.5043 0.07782236  2.920056028  2.457765683  1.346543182
## Jun 1961 317.5961 0.07782205  2.254741320  2.920056028  2.457765683
## Jul 1961 317.7951 0.07780180  0.750622273  2.254741320  2.920056028
## Aug 1961 317.9750 0.07776474 -1.273121172  0.750622273  2.254741320
## Sep 1961 318.0380 0.07773010 -2.914976585 -1.273121172  0.750622273
## Oct 1961 318.2775 0.07766885 -3.237575513 -2.914976585 -1.273121172
## Nov 1961 318.1586 0.07763995 -2.069948645 -3.237575513 -2.914976585
## Dec 1961 318.0244 0.07764590 -0.954345379 -2.069948645 -3.237575513
## Jan 1962 317.9701 0.07767358  0.025658675 -0.954345379 -2.069948645
## Feb 1962 317.9897 0.07771081  0.682943295  0.025658675 -0.954345379
## Mar 1962 318.1722 0.07773080  1.360178023  0.682943295  0.025658675
## Apr 1962 318.1587 0.07776580  2.465601342  1.360178023  0.682943295
## May 1962 318.2174 0.07780394  2.911467340  2.465601342  1.360178023
## Jun 1962 318.4205 0.07782147  2.249567636  2.911467340  2.465601342
## Jul 1962 318.6900 0.07780744  0.767957698  2.249567636  2.911467340
## Aug 1962 318.7577 0.07779507 -1.289811562  0.767957698  2.249567636
## Sep 1962 318.9155 0.07776954 -2.910595006 -1.289811562  0.767957698
## Oct 1962 318.7613 0.07778218 -3.246256864 -2.910595006 -1.289811562
## Nov 1962 318.7333 0.07781222 -2.063783813 -3.246256864 -2.910595006
## Dec 1962 318.6783 0.07786414 -0.960151291 -2.063783813 -3.246256864
## Jan 1963 318.6472 0.07793398  0.035847066 -0.960151291 -2.063783813
## Feb 1963 318.5408 0.07803416  0.678326949  0.035847066 -0.960151291
## Mar 1963 318.6323 0.07813212  1.356368736  0.678326949  0.035847066
## Apr 1963 318.8948 0.07819974  2.478883237  1.356368736  0.678326949
## May 1963 319.1489 0.07823841  2.907063744  2.478883237  1.356368736
## Jun 1963 319.1589 0.07828832  2.249686833  2.907063744  2.478883237
## Jul 1963 319.0608 0.07836725  0.769704303  2.249686833  2.907063744
## Aug 1963 319.0829 0.07845545 -1.287186615  0.769704303  2.249686833
## Sep 1963 319.1391 0.07854730 -2.929599328 -1.287186615  0.769704303
## Oct 1963 319.1948 0.07864291 -3.238476273 -2.929599328 -1.287186615
## Nov 1963 319.2059 0.07874964 -2.063309725 -3.238476273 -2.929599328
## Dec 1963 319.3136 0.07885161 -0.961762771 -2.063309725 -3.238476273
## Jan 1964 319.4237 0.07894843  0.035654844 -0.961762771 -2.063309725
## Feb 1964 319.3871 0.07906426  0.682074536  0.035654844 -0.961762771
## Mar 1964 319.3894 0.07919273  1.356793087  0.682074536  0.035654844
## Apr 1964 319.3868 0.07933467  2.493740923  1.356793087  0.682074536
## May 1964 319.4381 0.07948122  2.892307931  2.493740923  1.356793087
## Jun 1964 319.5963 0.07961481  2.247244168  2.892307931  2.493740923
## Jul 1964 319.6930 0.07974559  0.780195441  2.247244168  2.892307931
## Aug 1964 319.8338 0.07986633 -1.285989200  0.780195441  2.247244168
## Sep 1964 319.7860 0.08000808 -2.948344578 -1.285989200  0.780195441
## Oct 1964 319.9077 0.08014296 -3.235847332 -2.948344578 -1.285989200
## Nov 1964 319.7666 0.08031425 -2.056293442 -3.235847332 -2.948344578
## Dec 1964 319.6659 0.08051532 -0.961836860 -2.056293442 -3.235847332
## Jan 1965 319.5577 0.08074747  0.026144181 -0.961836860 -2.056293442
## Feb 1965 319.6405 0.08097927  0.692206017  0.026144181 -0.961836860
## Mar 1965 319.5811 0.08123418  1.354361287  0.692206017  0.026144181
## Apr 1965 319.5822 0.08150228  2.508762738  1.354361287  0.692206017
## May 1965 319.5185 0.08179427  2.883711733  2.508762738  1.354361287
## Jun 1965 319.7632 0.08205944  2.237174107  2.883711733  2.508762738
## Jul 1965 320.1814 0.08226931  0.800105409  2.237174107  2.883711733
## Aug 1965 320.2964 0.08247379 -1.301237024  0.800105409  2.237174107
## Sep 1965 320.5776 0.08264556 -2.945089229 -1.301237024  0.800105409
## Oct 1965 320.6102 0.08282556 -3.253690460 -2.945089229 -1.301237024
## Nov 1965 320.7180 0.08300146 -2.039500560 -3.253690460 -2.945089229
## Dec 1965 320.5717 0.08321508 -0.968778092 -2.039500560 -3.253690460
## Jan 1966 320.6686 0.08342647  0.031439279 -0.968778092 -2.039500560
## Feb 1966 320.8717 0.08361815  0.687418978  0.031439279 -0.968778092
## Mar 1966 321.0209 0.08379904  1.361061202  0.687418978  0.031439279
## Apr 1966 321.1596 0.08397089  2.509906373  1.361061202  0.687418978
## May 1966 321.2580 0.08414038  2.889263700  2.509906373  1.361061202
## Jun 1966 321.4458 0.08429280  2.236603691  2.889263700  2.509906373
## Jul 1966 321.5441 0.08444292  0.793692857  2.236603691  2.889263700
## Aug 1966 321.5997 0.08459779 -1.291874766  0.793692857  2.236603691
## Sep 1966 321.5861 0.08476881 -2.962393301 -1.291874766  0.793692857
## Oct 1966 321.5512 0.08495953 -3.253359074 -2.962393301 -1.291874766
## Nov 1966 321.7790 0.08512675 -2.045702298 -3.253359074 -2.962393301
## Dec 1966 321.9449 0.08528067 -0.958082908 -2.045702298 -3.253359074
## Jan 1967 322.0668 0.08542856  0.037394143 -0.958082908 -2.045702298
## Feb 1967 321.8892 0.08561973  0.676956542  0.037394143 -0.958082908
## Mar 1967 321.7997 0.08583972  1.369802890  0.676956542  0.037394143
## Apr 1967 321.8956 0.08605806  2.506609677  1.369802890  0.676956542
## May 1967 321.9814 0.08627645  2.903407143  2.506609677  1.369802890
## Jun 1967 321.9144 0.08652006  2.229746785  2.903407143  2.506609677
## Jul 1967 321.9196 0.08677705  0.789323262  2.229746785  2.903407143
## Aug 1967 322.1493 0.08701053 -1.284577652  0.789323262  2.229746785
## Sep 1967 322.3057 0.08723258 -2.986277343 -1.284577652  0.789323262
## Oct 1967 322.5546 0.08742802 -3.236086254 -2.986277343 -1.284577652
## Nov 1967 322.7088 0.08761249 -2.061437181 -3.236086254 -2.986277343
## Dec 1967 322.7534 0.08780402 -0.939775261 -2.061437181 -3.236086254
## Jan 1968 322.6040 0.08803459  0.025450372 -0.939775261 -2.061437181
## Feb 1968 322.5337 0.08829123  0.674571168  0.025450372 -0.939775261
## Mar 1968 322.5410 0.08856119  1.386694581  0.674571168  0.025450372
## Apr 1968 322.5985 0.08883626  2.501840115  1.386694581  0.674571168
## May 1968 322.7630 0.08909889  2.907324961  2.501840115  1.386694581
## Jun 1968 323.0608 0.08932717  2.224907752  2.907324961  2.501840115
## Jul 1968 323.2601 0.08953734  0.797476147  2.224907752  2.907324961
## Aug 1968 323.3504 0.08974739 -1.290172535  0.797476147  2.224907752
## Sep 1968 323.3747 0.08996822 -3.000346528 -1.290172535  0.797476147
## Oct 1968 323.4580 0.09019014 -3.223606804 -3.000346528 -1.290172535
## Nov 1968 323.5209 0.09041655 -2.075232072 -3.223606804 -3.000346528
## Dec 1968 323.7507 0.09062003 -0.931422415 -2.075232072 -3.223606804
## Jan 1969 323.8867 0.09081603  0.021152192 -0.931422415 -2.075232072
## Feb 1969 323.9007 0.09102466  0.672903018  0.021152192 -0.931422415
## Mar 1969 324.1321 0.09121020  1.401248854  0.672903018  0.021152192
## Apr 1969 324.2354 0.09139375  2.497910880  1.401248854  0.672903018
## May 1969 324.4363 0.09155929  2.918429007  2.497910880  1.401248854
## Jun 1969 324.6037 0.09171234  2.213916527  2.918429007  2.497910880
## Jul 1969 324.9140 0.09182942  0.804128040  2.213916527  2.918429007
## Aug 1969 325.0096 0.09194588 -1.298041330  0.804128040  2.213916527
## Sep 1969 325.1736 0.09205047 -3.008725278 -1.298041330  0.804128040
## Oct 1969 325.0524 0.09219016 -3.218557216 -3.008725278 -1.298041330
## Nov 1969 325.0027 0.09235322 -2.076556090 -3.218557216 -3.008725278
## Dec 1969 325.0541 0.09252300 -0.929535186 -2.076556090 -3.218557216
## Jan 1970 325.1250 0.09269634  0.006618272 -0.929535186 -2.076556090
## Feb 1970 325.2912 0.09285758  0.690295751  0.006618272 -0.929535186
## Mar 1970 325.4462 0.09300859  1.399910774  0.690295751  0.006618272
## Apr 1970 325.4902 0.09316768  2.503904161  1.399910774  0.690295751
## May 1970 325.3539 0.09336452  2.920980483  2.503904161  1.399910774
## Jun 1970 325.4764 0.09355658  2.217787327  2.920980483  2.503904161
## Jul 1970 325.6312 0.09373854  0.792943479  2.217787327  2.920980483
## Aug 1970 325.8979 0.09389205 -1.288179257  0.792943479  2.217787327
## Sep 1970 326.0716 0.09403242 -3.036884261 -1.288179257  0.792943479
## Oct 1970 326.1587 0.09417395 -3.204398382 -3.036884261 -1.288179257
## Nov 1970 326.1056 0.09433970 -2.074783839 -3.204398382 -3.036884261
## Dec 1970 326.0802 0.09452515 -0.932029574 -2.074783839 -3.204398382
## Jan 1971 326.0793 0.09472632 -0.002846830 -0.932029574 -2.074783839
## Feb 1971 325.9544 0.09496363  0.707510819 -0.002846830 -0.932029574
## Mar 1971 325.7923 0.09524324  1.397713610  0.707510819 -0.002846830
## Apr 1971 325.6439 0.09556296  2.495755568  1.397713610  0.707510819
## May 1971 325.9730 0.09584424  2.942054508  2.495755568  1.397713610
## Jun 1971 326.2825 0.09609034  2.213138445  2.942054508  2.495755568
## Jul 1971 326.4937 0.09631751  0.789678002  2.213138445  2.942054508
## Aug 1971 326.6035 0.09654247 -1.284203014  0.789678002  2.213138445
## Sep 1971 326.5664 0.09678941 -3.063368070 -1.284203014  0.789678002
## Oct 1971 326.7195 0.09702708 -3.196406101 -3.063368070 -1.284203014
## Nov 1971 326.8239 0.09726355 -2.068242966 -3.196406101 -3.063368070
## Dec 1971 326.8695 0.09750851 -0.930490128 -2.068242966 -3.196406101
## Jan 1972 326.8213 0.09777746 -0.018857433 -0.930490128 -2.068242966
## Feb 1972 326.8165 0.09806329  0.725732878 -0.018857433 -0.930490128
## Mar 1972 326.6953 0.09838520  1.384013130  0.725732878 -0.018857433
## Apr 1972 327.0116 0.09867124  2.514355656  1.384013130  0.725732878
## May 1972 327.0707 0.09896380  2.951485258  2.514355656  1.384013130
## Jun 1972 327.0666 0.09927332  2.206381535  2.951485258  2.514355656
## Jul 1972 327.3058 0.09955982  0.787589388  2.206381535  2.951485258
## Aug 1972 327.6160 0.09981165 -1.290863199  0.787589388  2.206381535
## Sep 1972 327.9333 0.10002768 -3.073829647 -1.290863199  0.787589388
## Oct 1972 328.2767 0.10020366 -3.194784486 -3.073829647 -1.290863199
## Nov 1972 328.4637 0.10036537 -2.060997432 -3.194784486 -3.073829647
## Dec 1972 328.5216 0.10053406 -0.933751488 -2.060997432 -3.194784486
## Jan 1973 328.6298 0.10070149 -0.026605545 -0.933751488 -2.060997432
## Feb 1973 328.8088 0.10085604  0.724103318 -0.026605545 -0.933751488
## Mar 1973 328.9386 0.10100582  1.405053306  0.724103318 -0.026605545
## Apr 1973 329.1266 0.10114128  2.508223126  1.405053306  0.724103318
## May 1973 329.4936 0.10123300  2.957790671  2.508223126  1.405053306
## Jun 1973 329.8226 0.10128722  2.212940015  2.957790671  2.508223126
## Jul 1973 330.1061 0.10131146  0.782492408  2.212940015  2.957790671
## Aug 1973 330.4142 0.10130167 -1.299834459  0.782492408  2.212940015
## Sep 1973 330.4626 0.10130059 -3.078680528 -1.299834459  0.782492408
## Oct 1973 330.3303 0.10133795 -3.199008258 -3.078680528 -1.299834459
## Nov 1973 330.1200 0.10142659 -2.057978823 -3.199008258 -3.078680528
## Dec 1973 329.7667 0.10159007 -0.932589103 -2.057978823 -3.199008258
## Jan 1974 329.6578 0.10178819 -0.030449681 -0.932589103 -2.057978823
## Feb 1974 329.9039 0.10196256  0.716153192 -0.030449681 -0.932589103
## Mar 1974 330.0308 0.10213281  1.425712054  0.716153192 -0.030449681
## Apr 1974 330.1136 0.10230627  2.511493753  1.425712054  0.716153192
## May 1974 330.1634 0.10248836  2.958272533  2.511493753  1.425712054
## Jun 1974 330.1226 0.10269403  2.217327718  2.958272533  2.511493753
## Jul 1974 330.2678 0.10289270  0.787265998  2.217327718  2.958272533
## Aug 1974 330.3934 0.10308763 -1.318918406  0.787265998  2.217327718
## Sep 1974 330.4190 0.10329532 -3.084190547 -1.318918406  0.787265998
## Oct 1974 330.4512 0.10351472 -3.198556732 -3.084190547 -1.318918406
## Nov 1974 330.4472 0.10375181 -2.067563575 -3.198556732 -3.084190547
## Dec 1974 330.5358 0.10399139 -0.923715328 -2.067563575 -3.198556732
## Jan 1975 330.6672 0.10422645 -0.018021689 -0.923715328 -2.067563575
## Feb 1975 330.6917 0.10447463  0.692919310 -0.018021689 -0.923715328
## Mar 1975 330.6165 0.10475239  1.448143466  0.692919310 -0.018021689
## Apr 1975 330.7068 0.10503253  2.516682444  1.448143466  0.692919310
## May 1975 330.9481 0.10529024  2.949455979  2.516682444  1.448143466
## Jun 1975 331.1200 0.10553698  2.235130289  2.949455979  2.516682444
## Jul 1975 331.2061 0.10578693  0.788557180  2.235130289  2.949455979
## Aug 1975 331.3252 0.10603468 -1.343206765  0.788557180  2.235130289
## Sep 1975 331.4870 0.10627327 -3.085544583 -1.343206765  0.788557180
## Oct 1975 331.5314 0.10652203 -3.202877994 -3.085544583 -1.343206765
## Nov 1975 331.5343 0.10678783 -2.072179121 -3.202877994 -3.085544583
## Dec 1975 331.6466 0.10705274 -0.912058838 -2.072179121 -3.202877994
## Jan 1976 331.6987 0.10732669 -0.009962684 -0.912058838 -2.072179121
## Feb 1976 331.9220 0.10758155  0.662500088 -0.009962684 -0.912058838
## Mar 1976 331.9393 0.10785128  1.478370431  0.662500088 -0.009962684
## Apr 1976 332.0332 0.10812329  2.527591020  1.478370431  0.662500088
## May 1976 331.8897 0.10843672  2.934967777  2.527591020  1.478370431
## Jun 1976 331.8853 0.10876872  2.249167993  2.934967777  2.527591020
## Jul 1976 332.0996 0.10908336  0.792884826  2.249167993  2.934967777
## Aug 1976 332.0652 0.10942160 -1.362771504  0.792884826  2.249167993
## Sep 1976 332.0610 0.10977853 -3.093461645 -1.362771504  0.792884826
## Oct 1976 332.0673 0.11015251 -3.209286836 -3.093461645 -1.362771504
## Nov 1976 332.2570 0.11051340 -2.067882669 -3.209286836 -3.093461645
## Dec 1976 332.4856 0.11085484 -0.911553186 -2.067882669 -3.209286836
## Jan 1977 332.6537 0.11118687  0.015031229 -0.911553186 -2.067882669
## Feb 1977 332.8071 0.11151195  0.613710732  0.015031229 -0.911553186
## Mar 1977 333.2937 0.11177531  1.525215746  0.613710732  0.015031229
## Apr 1977 333.5933 0.11200775  2.519268846  1.525215746  0.613710732
## May 1977 333.8566 0.11221529  2.928753074  2.519268846  1.525215746
## Jun 1977 333.9283 0.11242950  2.278418910  2.928753074  2.519268846
## Jul 1977 334.0489 0.11264237  0.776452270  2.278418910  2.928753074
## Aug 1977 334.0838 0.11286802 -1.374029321  0.776452270  2.278418910
## Sep 1977 334.3178 0.11307375 -3.106744934 -1.374029321  0.776452270
## Oct 1977 334.4471 0.11327681 -3.206857059 -3.106744934 -1.374029321
## Nov 1977 334.5238 0.11348587 -2.064837775 -3.206857059 -3.106744934
## Dec 1977 334.5995 0.11370117 -0.915097581 -2.064837775 -3.206857059
## Jan 1978 334.7874 0.11390425  0.031623689 -0.915097581 -2.064837775
## Feb 1978 334.8148 0.11412156  0.589078358  0.031623689 -0.915097581
## Mar 1978 335.0335 0.11432166  1.553387420  0.589078358  0.031623689
## Apr 1978 335.1554 0.11452052  2.519471433  1.553387420  0.589078358
## May 1978 335.2574 0.11472144  2.911513786  2.519471433  1.553387420
## Jun 1978 335.5572 0.11489190  2.318112324  2.911513786  2.519471433
## Jul 1978 335.6785 0.11506131  0.748352867  2.318112324  2.911513786
## Aug 1978 335.7027 0.11524567 -1.368915365  0.748352867  2.318112324
## Sep 1978 335.6128 0.11546379 -3.129926878 -1.368915365  0.748352867
## Oct 1978 335.6862 0.11568884 -3.204410887 -3.129926878 -1.368915365
## Nov 1978 335.8019 0.11591388 -2.063514675 -3.204410887 -3.129926878
## Dec 1978 335.8891 0.11614364 -0.907900632 -2.063514675 -3.204410887
## Jan 1979 336.0712 0.11636255  0.030843113 -0.907900632 -2.063514675
## Feb 1979 336.2031 0.11657891  0.582247431  0.030843113 -0.907900632
## Mar 1979 336.4617 0.11677189  1.571402407  0.582247431  0.030843113
## Apr 1979 336.4061 0.11699325  2.515755847  1.571402407  0.582247431
## May 1979 336.4858 0.11722074  2.910808578  2.515755847  1.571402407
## Jun 1979 336.7736 0.11742016  2.345059644  2.910808578  2.515755847
## Jul 1979 336.8739 0.11762239  0.723004621  2.345059644  2.910808578
## Aug 1979 337.0500 0.11781501 -1.372003611  0.723004621  2.345059644
## Sep 1979 337.1704 0.11800719 -3.142020822 -1.372003611  0.723004621
## Oct 1979 337.3685 0.11818619 -3.203358970 -3.142020822 -1.372003611
## Nov 1979 337.4674 0.11836837 -2.067593564 -3.203358970 -3.142020822
## Dec 1979 337.6724 0.11853629 -0.893239233 -2.067593564 -3.203358970
## Jan 1980 337.8367 0.11869667  0.021105243 -0.893239233 -2.067593564
## Feb 1980 337.9451 0.11885875  0.592611881  0.021105243 -0.893239233
## Mar 1980 338.3161 0.11897934  1.564633440  0.592611881  0.021105243
## Apr 1980 338.4360 0.11909978  2.522528827  1.564633440  0.592611881
## May 1980 338.5939 0.11921383  2.923133131  2.522528827  1.564633440
## Jun 1980 338.8408 0.11930687  2.353676405  2.923133131  2.522528827
## Jul 1980 338.8680 0.11941506  0.708635555  2.353676405  2.923133131
## Aug 1980 339.0636 0.11951072 -1.382456289  0.708635555  2.353676405
## Sep 1980 339.2739 0.11959143 -3.145483829 -1.382456289  0.708635555
## Oct 1980 339.3230 0.11968375 -3.212942082 -3.145483829 -1.382456289
## Nov 1980 339.3324 0.11979421 -2.061872505 -3.212942082 -3.145483829
## Dec 1980 339.3028 0.11992926 -0.882243873 -2.061872505 -3.212942082
## Jan 1981 339.4467 0.12006037  0.002084653 -0.882243873 -2.061872505
## Feb 1981 339.8013 0.12015287  0.626133270  0.002084653 -0.882243873
## Mar 1981 339.9935 0.12023353  1.535524853  0.626133270  0.002084653
## Apr 1981 340.0517 0.12032440  2.535925477  1.535524853  0.626133270
## May 1981 340.0934 0.12042819  2.945468912  2.535925477  1.535524853
## Jun 1981 340.1339 0.12054515  2.342908643  2.945468912  2.535925477
## Jul 1981 340.0905 0.12068908  0.709330209  2.342908643  2.945468912
## Aug 1981 340.0205 0.12086441 -1.392277265  0.709330209  2.342908643
## Sep 1981 340.1473 0.12103875 -3.157231935 -1.392277265  0.709330209
## Oct 1981 340.3274 0.12120337 -3.219158863 -3.157231935 -1.392277265
## Nov 1981 340.5850 0.12134555 -2.062045199 -3.219158863 -3.157231935
## Dec 1981 340.7669 0.12147775 -0.866377609 -2.062045199 -3.219158863
## Jan 1982 340.9365 0.12160204 -0.005505258 -0.866377609 -2.062045199
## Feb 1982 341.1074 0.12171822  0.648469380 -0.005505258 -0.866377609
## Mar 1982 341.2730 0.12182717  1.503939786  0.648469380 -0.005505258
## Apr 1982 341.4346 0.12192957  2.552175686  1.503939786  0.648469380
## May 1982 341.6319 0.12201957  2.970518057  2.552175686  1.503939786
## Jun 1982 341.6069 0.12213377  2.328255832  2.970518057  2.552175686
## Jul 1982 341.6552 0.12226012  0.705395720  2.328255832  2.970518057
## Aug 1982 341.6248 0.12241159 -1.391884570  0.705395720  2.328255832
## Sep 1982 341.5851 0.12258974 -3.173646726 -1.391884570  0.705395720
## Oct 1982 341.6006 0.12278552 -3.220444101 -3.173646726 -1.391884570
## Nov 1982 341.5767 0.12300542 -2.068236523 -3.220444101 -3.173646726
## Dec 1982 341.6440 0.12323451 -0.849136846 -2.068236523 -3.220444101
## Jan 1983 341.7313 0.12346951 -0.012522689 -0.849136846 -2.068236523
## Feb 1983 342.0162 0.12367794  0.670578682 -0.012522689 -0.849136846
## Mar 1983 342.1776 0.12388017  1.471290707  0.670578682 -0.012522689
## Apr 1983 342.7092 0.12401529  2.576708387  1.471290707  0.670578682
## May 1983 343.0896 0.12410821  2.980160813  2.576708387  1.471290707
## Jun 1983 343.3770 0.12417427  2.326061543  2.980160813  2.576708387
## Jul 1983 343.5888 0.12422591  0.695297583  2.326061543  2.980160813
## Aug 1983 343.7529 0.12427098 -1.391353311  0.695297583  2.326061543
## Sep 1983 343.7201 0.12434190 -3.185635011 -1.391353311  0.695297583
## Oct 1983 343.7862 0.12442240 -3.227994628 -3.185635011 -1.391353311
## Nov 1983 343.8899 0.12450632 -2.068814676 -3.227994628 -3.185635011
## Dec 1983 344.0349 0.12458686 -0.838821783 -2.068814676 -3.227994628
## Jan 1984 344.1748 0.12466488 -0.005656764 -0.838821783 -2.068814676
## Feb 1984 344.2607 0.12474929  0.670005317 -0.005656764 -0.838821783
## Mar 1984 344.3607 0.12483776  1.466899271  0.670005317 -0.005656764
## Apr 1984 344.6569 0.12489804  2.585107289  1.466899271  0.670005317
## May 1984 344.7699 0.12496028  2.990934982  2.585107289  1.466899271
## Jun 1984 344.8707 0.12502649  2.323579298  2.990934982  2.585107289
## Jul 1984 345.0171 0.12508919  0.690131740  2.323579298  2.990934982
## Aug 1984 345.0536 0.12516646 -1.403211502  0.690131740  2.323579298
## Sep 1984 344.9714 0.12527785 -3.187681173 -1.403211502  0.690131740
## Oct 1984 345.1464 0.12538108 -3.237358647 -3.187681173 -1.403211502
## Nov 1984 345.3865 0.12546542 -2.067995018 -3.237358647 -3.187681173
## Dec 1984 345.6379 0.12552903 -0.828435617 -2.067995018 -3.237358647
## Jan 1985 345.6365 0.12561352 -0.002056309 -0.828435617 -2.067995018
## Feb 1985 345.8403 0.12568515  0.666274418 -0.002056309 -0.828435617
## Mar 1985 346.1723 0.12572284  1.478119408  0.666274418 -0.002056309
## Apr 1985 346.1598 0.12578327  2.578195744  1.478119408  0.666274418
## May 1985 346.2508 0.12584941  3.004861484  2.578195744  1.478119408
## Jun 1985 346.3096 0.12592659  2.327027142  3.004861484  2.578195744
## Jul 1985 346.3508 0.12601772  0.680892251  2.327027142  3.004861484
## Aug 1985 346.5670 0.12609401 -1.425784229  0.680892251  2.327027142
## Sep 1985 346.6255 0.12618142 -3.173917933 -1.425784229  0.680892251
## Oct 1985 346.6597 0.12628397 -3.250570929 -3.173917933 -1.425784229
## Nov 1985 346.7725 0.12638874 -2.061321698 -3.250570929 -3.173917933
## Dec 1985 346.8603 0.12649987 -0.838144265 -2.061321698 -3.250570929
## Jan 1986 346.8183 0.12663872  0.016427571 -0.838144265 -2.061321698
## Feb 1986 346.8491 0.12679335  0.673560181  0.016427571 -0.838144265
## Mar 1986 346.9366 0.12695444  1.463714448  0.673560181  0.016427571
## Apr 1986 347.2237 0.12708916  2.587531897  1.463714448  0.673560181
## May 1986 347.4464 0.12720817  3.014603476  2.587531897  1.463714448
## Jun 1986 347.5908 0.12732434  2.325522339  3.014603476  2.587531897
## Jul 1986 347.6508 0.12745159  0.686265829  2.325522339  3.014603476
## Aug 1986 347.8263 0.12757093 -1.461319930  0.686265829  2.325522339
## Sep 1986 348.2609 0.12763974 -3.159310119 -1.461319930  0.686265829
## Oct 1986 348.1933 0.12774068 -3.258038368 -3.159310119 -1.461319930
## Nov 1986 348.2788 0.12784857 -2.054610969 -3.258038368 -3.159310119
## Dec 1986 348.3700 0.12796250 -0.856407807 -2.054610969 -3.258038368
## Jan 1987 348.5059 0.12807513  0.040994410 -0.856407807 -2.054610969
## Feb 1987 348.3988 0.12822645  0.676422395  0.040994410 -0.856407807
## Mar 1987 348.4979 0.12838256  1.460638196  0.676422395  0.040994410
## Apr 1987 348.7944 0.12851101  2.589897016  1.460638196  0.676422395
## May 1987 349.0701 0.12861525  3.024137625  2.589897016  1.460638196
## Jun 1987 349.2718 0.12870744  2.318277527  3.024137625  2.589897016
## Jul 1987 349.4871 0.12878540  0.693217046  2.318277527  3.024137625
## Aug 1987 349.6629 0.12885561 -1.471684515  0.693217046  2.318277527
## Sep 1987 349.8272 0.12891998 -3.184119244 -1.471684515  0.693217046
## Oct 1987 349.9691 0.12898222 -3.243167519 -3.184119244 -1.471684515
## Nov 1987 350.1190 0.12904102 -2.053088549 -3.243167519 -3.184119244
## Dec 1987 350.2502 0.12909946 -0.865580625 -2.053088549 -3.243167519
## Jan 1988 350.5204 0.12913468  0.045057508 -0.865580625 -2.053088549
## Feb 1988 350.8643 0.12913456  0.692029485  0.045057508 -0.865580625
## Mar 1988 351.0174 0.12913050  1.463384332  0.692029485  0.045057508
## Apr 1988 351.1450 0.12912669  2.587673265  1.463384332  0.692029485
## May 1988 351.3556 0.12910946  3.029758103  2.587673265  1.463384332
## Jun 1988 351.6133 0.12907107  2.314937475  3.029758103  2.587673265
## Jul 1988 351.9350 0.12900099  0.697923116  2.314937475  3.029758103
## Aug 1988 352.0348 0.12893571 -1.480974160  0.697923116  2.314937475
## Sep 1988 352.2193 0.12886129 -3.210073688 -1.480974160  0.697923116
## Oct 1988 352.4557 0.12876917 -3.226711699 -3.210073688 -1.480974160
## Nov 1988 352.5048 0.12869015 -2.056692610 -3.226711699 -3.210073688
## Dec 1988 352.5913 0.12861808 -0.868550871 -2.056692610 -3.226711699
## Jan 1989 352.8140 0.12853053  0.054661514 -0.868550871 -2.056692610
## Feb 1989 352.7694 0.12847148  0.695681511  0.054661514 -0.868550871
## Mar 1989 352.7712 0.12843327  1.467704160  0.695681511  0.054661514
## Apr 1989 352.9839 0.12838118  2.589479019  1.467704160  0.695681511
## May 1989 353.0019 0.12834726  3.033898572  2.589479019  1.467704160
## Jun 1989 353.1339 0.12831275  2.320026442  3.033898572  2.589479019
## Jul 1989 353.2843 0.12827459  0.686144728  2.320026442  3.033898572
## Aug 1989 353.3291 0.12825018 -1.480824087  0.686144728  2.320026442
## Sep 1989 353.3848 0.12823771 -3.230280913 -1.480824087  0.686144728
## Oct 1989 353.5262 0.12822307 -3.223161870 -3.230280913 -1.480824087
## Nov 1989 353.6317 0.12821217 -2.056802482 -3.223161870 -3.230280913
## Dec 1989 353.7702 0.12819957 -0.857534166 -2.056802482 -3.223161870
## Jan 1990 353.9123 0.12818469  0.044301181 -0.857534166 -2.056802482
## Feb 1990 354.1827 0.12814640  0.703490611  0.044301181 -0.857534166
## Mar 1990 354.1693 0.12813141  1.487884637  0.703490611  0.044301181
## Apr 1990 354.0326 0.12816001  2.571412285  1.487884637  0.703490611
## May 1990 354.1932 0.12818327  3.049282546  2.571412285  1.487884637
## Jun 1990 354.1713 0.12823123  2.325911770  3.049282546  2.571412285
## Jul 1990 354.2917 0.12828047  0.667669722  2.325911770  3.049282546
## Aug 1990 354.5042 0.12831586 -1.479508766  0.667669722  2.325911770
## Sep 1990 354.6698 0.12834510 -3.245029043 -1.479508766  0.667669722
## Oct 1990 354.8949 0.12835842 -3.224909038 -3.245029043 -1.479508766
## Nov 1990 355.0936 0.12836017 -2.054176356 -3.224909038 -3.245029043
## Dec 1990 355.1587 0.12837233 -0.850807275 -2.054176356 -3.224909038
## Jan 1991 355.0883 0.12841721  0.048878384 -0.850807275 -2.054176356
## Feb 1991 355.2928 0.12844956  0.695364574  0.048878384 -0.850807275
## Mar 1991 355.7205 0.12843265  1.500829557  0.695364574  0.048878384
## Apr 1991 356.0041 0.12839022  2.578402674  1.500829557  0.695364574
## May 1991 356.0387 0.12836322  3.042273078  2.578402674  1.500829557
## Jun 1991 355.8755 0.12838420  2.342234369  3.042273078  2.578402674
## Jul 1991 355.6961 0.12845584  0.651663794  2.342234369  3.042273078
## Aug 1991 355.5801 0.12856771 -1.485019709  0.651663794  2.342234369
## Sep 1991 355.6301 0.12869250 -3.254425507 -1.485019709  0.651663794
## Oct 1991 355.7277 0.12882241 -3.226069769 -3.254425507 -1.485019709
## Nov 1991 355.9205 0.12894179 -2.054472565 -3.226069769 -3.254425507
## Dec 1991 356.0817 0.12905586 -0.855560161 -2.054472565 -3.226069769
## Jan 1992 356.2645 0.12916110  0.066318988 -0.855560161 -2.054472565
## Feb 1992 356.4350 0.12925952  0.696022834  0.066318988 -0.855560161
## Mar 1992 356.5010 0.12936836  1.506464132  0.696022834  0.066318988
## Apr 1992 356.6167 0.12947945  2.581057370  1.506464132  0.696022834
## May 1992 356.7031 0.12959762  3.031633488  2.581057370  1.506464132
## Jun 1992 356.8225 0.12971747  2.361392947  3.031633488  2.581057370
## Jul 1992 356.6021 0.12989495  0.635018237  2.361392947  3.031633488
## Aug 1992 356.4975 0.13011102 -1.484375049  0.635018237  2.361392947
## Sep 1992 356.4238 0.13036063 -3.268449604 -1.484375049  0.635018237
## Oct 1992 356.5432 0.13061203 -3.222372089 -3.268449604 -1.484375049
## Nov 1992 356.5446 0.13088470 -2.059780288 -3.222372089 -3.268449604
## Dec 1992 356.6324 0.13116447 -0.857894566 -2.059780288 -3.222372089
## Jan 1993 356.8459 0.13143068  0.085396553 -0.857894566 -2.059780288
## Feb 1993 356.8359 0.13172018  0.689807632  0.085396553 -0.857894566
## Mar 1993 356.9663 0.13200989  1.518601081  0.689807632  0.085396553
## Apr 1993 356.9576 0.13232276  2.579773613  1.518601081  0.689807632
## May 1993 357.1447 0.13262660  3.033103393  2.579773613  1.518601081
## Jun 1993 357.1701 0.13294811  2.357499057  3.033103393  2.579773613
## Jul 1993 357.0465 0.13331184  0.633414482  2.357499057  3.033103393
## Aug 1993 357.2283 0.13366757 -1.490609005  0.633414482  2.357499057
## Sep 1993 357.3810 0.13402018 -3.269298028 -1.490609005  0.633414482
## Oct 1993 357.4965 0.13437583 -3.233023799 -3.269298028 -1.490609005
## Nov 1993 357.6568 0.13472722 -2.060495178 -3.233023799 -3.269298028
## Dec 1993 357.9054 0.13505988 -0.849411461 -2.060495178 -3.233023799
## Jan 1994 358.1888 0.13536812  0.084618841 -0.849411461 -2.060495178
## Feb 1994 358.3576 0.13567086  0.701510586  0.084618841 -0.849411461
## Mar 1994 358.5519 0.13596394  1.513628491  0.701510586  0.084618841
## Apr 1994 358.6876 0.13625707  2.597769996  1.513628491  0.701510586
## May 1994 358.7245 0.13656656  3.024258888  2.597769996  1.513628491
## Jun 1994 358.7202 0.13689922  2.341319363  3.024258888  2.597769996
## Jul 1994 358.8775 0.13722852  0.653769449  2.341319363  3.024258888
## Aug 1994 359.0635 0.13754980 -1.505934701  0.653769449  2.341319363
## Sep 1994 359.2067 0.13787015 -3.272650018 -1.505934701  0.653769449
## Oct 1994 359.4485 0.13817341 -3.242605899 -3.272650018 -1.505934701
## Nov 1994 359.6850 0.13846047 -2.058509130 -3.242605899 -3.272650018
## Dec 1994 359.8907 0.13873647 -0.838259409 -2.058509130 -3.242605899
## Jan 1995 360.0335 0.13901180  0.075780074 -0.838259409 -2.058509130
## Feb 1995 360.2685 0.13927134  0.719462478  0.075780074 -0.838259409
## Mar 1995 360.4878 0.13951770  1.507425095  0.719462478  0.075780074
## Apr 1995 360.7275 0.13974758  2.613048659  1.507425095  0.719462478
## May 1995 360.8354 0.13998270  3.011373535  2.613048659  1.507425095
## Jun 1995 360.9657 0.14021941  2.334484743  3.011373535  2.613048659
## Jul 1995 361.0567 0.14046421  0.672408463  2.334484743  3.011373535
## Aug 1995 361.0805 0.14072822 -1.527179374  0.672408463  2.334484743
## Sep 1995 361.4009 0.14096266 -3.269180812 -1.527179374  0.672408463
## Oct 1995 361.4717 0.14120865 -3.254361564 -3.269180812 -1.527179374
## Nov 1995 361.6453 0.14144931 -2.056347952 -3.254361564 -3.269180812
## Dec 1995 361.7913 0.14168922 -0.832312774 -2.056347952 -3.254361564
## Jan 1996 362.1218 0.14189805  0.074260646 -0.832312774 -2.056347952
## Feb 1996 362.4475 0.14207664  0.733404622  0.074260646 -0.832312774
## Mar 1996 362.5356 0.14226412  1.506464017  0.733404622  0.074260646
## Apr 1996 362.3080 0.14251245  2.619798383  1.506464017  0.733404622
## May 1996 362.3963 0.14276972  3.004500353  2.619798383  1.506464017
## Jun 1996 362.6849 0.14300298  2.326708575  3.004500353  2.619798383
## Jul 1996 362.9096 0.14322279  0.680142257  2.326708575  3.004500353
## Aug 1996 363.0014 0.14345106 -1.523093277  0.680142257  2.326708575
## Sep 1996 362.9984 0.14370344 -3.290725201 -1.523093277  0.680142257
## Oct 1996 363.0191 0.14397606 -3.252673816 -3.290725201 -1.523093277
## Nov 1996 363.1017 0.14425879 -2.063729257 -3.252673816 -3.290725201
## Dec 1996 363.1818 0.14455207 -0.815180667 -2.063729257 -3.252673816
## Jan 1997 363.2313 0.14486100  0.073937581 -0.815180667 -2.063729257
## Feb 1997 363.3675 0.14517135  0.743048361  0.073937581 -0.815180667
## Mar 1997 363.3721 0.14550484  1.485755055  0.743048361  0.073937581
## Apr 1997 363.6529 0.14581606  2.647336241  1.485755055  0.743048361
## May 1997 363.6821 0.14614647  3.001768947  2.647336241  1.485755055
## Jun 1997 363.5973 0.14651489  2.313492910  3.001768947  2.647336241
## Jul 1997 363.7528 0.14688183  0.684902939  2.313492910  3.001768947
## Aug 1997 363.8791 0.14725215 -1.521250546  0.684902939  2.313492910
## Sep 1997 363.9500 0.14763504 -3.310031342 -1.521250546  0.684902939
## Oct 1997 364.2865 0.14798685 -3.248133792 -3.310031342 -1.521250546
## Nov 1997 364.7142 0.14829263 -2.072114008 -3.248133792 -3.310031342
## Dec 1997 365.1317 0.14855410 -0.802106530 -2.072114008 -3.248133792
## Jan 1998 365.3100 0.14881067  0.082966481 -0.802106530 -2.072114008
## Feb 1998 365.4926 0.14906168  0.735260125  0.082966481 -0.802106530
## Mar 1998 365.8452 0.14927920  1.491084823  0.735260125  0.082966481
## Apr 1998 366.1665 0.14946840  2.656357868  1.491084823  0.735260125
## May 1998 366.5317 0.14962212  2.993005869  2.656357868  1.491084823
## Jun 1998 366.8501 0.14974805  2.317638090  2.993005869  2.656357868
## Jul 1998 367.2187 0.14983795  0.682895128  2.317638090  2.993005869
## Aug 1998 367.4835 0.14990895 -1.529080587  0.682895128  2.317638090
## Sep 1998 367.5550 0.14999285 -3.315538115 -1.529080587  0.682895128
## Oct 1998 367.7320 0.15007230 -3.245634443 -3.315538115 -1.529080587
## Nov 1998 367.8380 0.15015901 -2.076945446 -3.245634443 -3.315538115
## Dec 1998 368.0649 0.15023308 -0.802178698 -2.076945446 -3.245634443
## Jan 1999 368.2425 0.15030264  0.094157286 -0.802178698 -2.076945446
## Feb 1999 368.4026 0.15037061  0.737684575  0.094157286 -0.802178698
## Mar 1999 368.3772 0.15046750  1.488724275  0.737684575  0.094157286
## Apr 1999 368.3862 0.15058768  2.669989185  1.488724275  0.737684575
## May 1999 368.2708 0.15075162  2.979024911  2.669989185  1.488724275
## Jun 1999 368.3279 0.15093097  2.328770568  2.979024911  2.669989185
## Jul 1999 368.6462 0.15108278  0.679082915  2.328770568  2.979024911
## Aug 1999 368.5868 0.15126922 -1.547708365  0.679082915  2.328770568
## Sep 1999 368.5000 0.15149486 -3.307816836 -1.547708365  0.679082915
## Oct 1999 368.7347 0.15170679 -3.253393550 -3.307816836 -1.547708365
## Nov 1999 368.9184 0.15191347 -2.071693908 -3.253393550 -3.307816836
## Dec 1999 369.0580 0.15212217 -0.807873940 -2.071693908 -3.253393550
## Jan 2000 369.1847 0.15233506  0.110903208 -0.807873940 -2.071693908
## Feb 2000 369.1066 0.15258586  0.729319716  0.110903208 -0.807873940
## Mar 2000 369.1959 0.15284708  1.496903476  0.729319716  0.110903208
## Apr 2000 369.2097 0.15313118  2.670937375  1.496903476  0.729319716
## May 2000 369.0918 0.15345988  2.970836279  2.670937375  1.496903476
## Jun 2000 369.3893 0.15376488  2.360153167  2.970836279  2.670937375
## Jul 2000 369.5272 0.15407250  0.647744345  2.360153167  2.970836279
## Aug 2000 369.8709 0.15434892 -1.566306066  0.647744345  2.360153167
## Sep 2000 370.2608 0.15458656 -3.280006950 -1.566306066  0.647744345
## Oct 2000 370.4263 0.15482242 -3.271723125 -3.280006950 -1.566306066
## Nov 2000 370.5582 0.15506204 -2.067110711 -3.271723125 -3.280006950
## Dec 2000 370.6387 0.15531394 -0.807364832 -2.067110711 -3.271723125
## Jan 2001 370.7211 0.15557783  0.111954379 -0.807364832 -2.067110711
## Feb 2001 370.9008 0.15583775  0.738073509  0.111954379 -0.807364832
## Mar 2001 371.0128 0.15610488  1.499879457  0.738073509  0.111954379
## Apr 2001 370.9694 0.15640485  2.655105762  1.499879457  0.738073509
## May 2001 371.0252 0.15672137  2.993869718  2.655105762  1.499879457
## Jun 2001 371.0668 0.15705683  2.365360580  2.993869718  2.655105762
## Jul 2001 371.1515 0.15740421  0.631023958  2.365360580  2.993869718
## Aug 2001 371.3727 0.15774109 -1.581819792  0.631023958  2.365360580
## Sep 2001 371.6085 0.15806512 -3.265036548 -1.581819792  0.631023958
## Oct 2001 371.8493 0.15837553 -3.284244491 -3.265036548 -1.581819792
## Nov 2001 372.0308 0.15868215 -2.064510872 -3.284244491 -3.265036548
## Dec 2001 372.2474 0.15897922 -0.808020650 -2.064510872 -3.284244491
## Jan 2002 372.4901 0.15926252  0.120244533 -0.808020650 -2.064510872
## Feb 2002 372.6141 0.15955161  0.744682949  0.120244533 -0.808020650
## Mar 2002 372.7236 0.15984895  1.493325883  0.744682949  0.120244533
## Apr 2002 372.7231 0.16017268  2.649515764  1.493325883  0.744682949
## May 2002 372.9654 0.16048290  3.012154768  2.649515764  1.493325883
## Jun 2002 373.2710 0.16076922  2.369561918  3.012154768  2.649515764
## Jul 2002 373.5114 0.16104245  0.620289739  2.369561918  3.012154768
## Aug 2002 373.7145 0.16130875 -1.600449169  0.620289739  2.369561918
## Sep 2002 374.0294 0.16154978 -3.248549794 -1.600449169  0.620289739
## Oct 2002 374.1599 0.16179591 -3.301184228 -3.248549794 -1.600449169
## Nov 2002 374.4615 0.16201905 -2.059027282 -3.301184228 -3.248549794
## Dec 2002 374.7267 0.16222519 -0.804902390 -2.059027282 -3.301184228
## Jan 2003 374.9149 0.16242706  0.121609028 -0.804902390 -2.059027282
## Feb 2003 375.0590 0.16263195  0.756845743  0.121609028 -0.804902390
## Mar 2003 375.1977 0.16284078  1.474302090  0.756845743  0.121609028
## Apr 2003 375.3791 0.16304654  2.658731235  1.474302090  0.756845743
## May 2003 375.7172 0.16322351  3.029029903  2.658731235  1.474302090
## Jun 2003 376.0107 0.16337903  2.369403047  3.029029903  2.658731235
## Jul 2003 376.1983 0.16353058  0.606184981  2.369403047  3.029029903
## Aug 2003 376.2857 0.16369464 -1.606684367  0.606184981  2.369403047
## Sep 2003 376.5181 0.16384741 -3.250201272 -1.606684367  0.606184981
## Oct 2003 376.6549 0.16400462 -3.302457688 -3.250201272 -1.606684367
## Nov 2003 376.8481 0.16415703 -2.058184274 -3.302457688 -3.250201272
## Dec 2003 376.9751 0.16431555 -0.803829535 -2.058184274 -3.302457688
## Jan 2004 377.1039 0.16447992  0.122805759 -0.803829535 -2.058184274
## Feb 2004 377.3081 0.16463775  0.768753654  0.122805759 -0.803829535
## Mar 2004 377.5481 0.16478319  1.453443341  0.768753654  0.122805759
## Apr 2004 377.7106 0.16492899  2.676718713  1.453443341  0.768753654
## May 2004 377.6707 0.16510850  3.042009417  2.676718713  1.453443341
## Jun 2004 377.5151 0.16534080  2.367378229  3.042009417  2.676718713
## Jul 2004 377.3762 0.16562315  0.585422700  2.367378229  3.042009417
## Aug 2004 377.6513 0.16588750 -1.599409264  0.585422700  2.367378229
## Sep 2004 377.7700 0.16615961 -3.262775300 -1.599409264  0.585422700
## Oct 2004 377.9913 0.16642265 -3.296084480 -3.262775300 -1.599409264
## Nov 2004 378.2995 0.16666236 -2.062652823 -3.296084480 -3.262775300
## Dec 2004 378.4843 0.16689908 -0.802908605 -2.062652823 -3.296084480
## Jan 2005 378.6711 0.16713252  0.127152536 -0.802908605 -2.062652823
## Feb 2005 379.0815 0.16732593  0.782710512  0.127152536 -0.802908605
## Mar 2005 379.4314 0.16748930  1.432912291  0.782710512  0.127152536
## Apr 2005 379.6676 0.16764136  2.688812704  1.432912291  0.782710512
## May 2005 379.7399 0.16780910  3.053718404  2.688812704  1.432912291
## Jun 2005 380.0163 0.16795898  2.357986270  3.053718404  2.688812704
## Jul 2005 380.2587 0.16809660  0.591586380  2.357986270  3.053718404
## Aug 2005 380.3955 0.16823938 -1.615220907  0.591586380  2.357986270
## Sep 2005 380.3336 0.16842002 -3.267694761 -1.615220907  0.591586380
## Oct 2005 380.5054 0.16860011 -3.284302603 -3.267694761 -1.615220907
## Nov 2005 380.7187 0.16877285 -2.076463471 -3.284302603 -3.267694761
## Dec 2005 381.0679 0.16891589 -0.804660942 -2.076463471 -3.284302603
## Jan 2006 381.3551 0.16903947  0.145570550 -0.804660942 -2.076463471
## Feb 2006 381.5372 0.16916090  0.790236969  0.145570550 -0.804660942
## Mar 2006 381.6230 0.16929605  1.412304373  0.790236969  0.145570550
## Apr 2006 381.9417 0.16940661  2.689267243  1.412304373  0.790236969
## May 2006 382.0360 0.16952952  3.082292371  2.689267243  1.412304373
## Jun 2006 381.9956 0.16968700  2.343964060  3.082292371  2.689267243
## Jul 2006 382.0874 0.16985729  0.598343168  2.343964060  3.082292371
## Aug 2006 382.2268 0.17003259 -1.645649701  0.598343168  2.343964060
## Sep 2006 382.3413 0.17021703 -3.255235893 -1.645649701  0.598343168
## Oct 2006 382.5170 0.17040056 -3.280496704 -3.255235893 -1.645649701
## Nov 2006 382.5689 0.17060360 -2.082141892 -3.280496704 -3.255235893
## Dec 2006 382.8025 0.17079626 -0.810715980 -2.082141892 -3.280496704
## Jan 2007 382.9989 0.17098471  0.162537753 -0.810715980 -2.082141892
## Feb 2007 383.2771 0.17115552  0.788854891  0.162537753 -0.810715980
## Mar 2007 383.4837 0.17132049  1.413574565  0.788854891  0.162537753
## Apr 2007 383.8064 0.17146056  2.674511479  1.413574565  0.788854891
## May 2007 383.7986 0.17163012  3.105923249  2.674511479  1.413574565
## Jun 2007 383.9563 0.17180199  2.339731524  3.105923249  2.674511479
## Jul 2007 384.0690 0.17198357  0.604759834  2.339731524  3.105923249
## Aug 2007 384.1073 0.17218716 -1.680493207  0.604759834  2.339731524
## Sep 2007 384.3937 0.17237196 -3.235226651 -1.680493207  0.604759834
## Oct 2007 384.6250 0.17254704 -3.290348318 -3.235226651 -1.680493207
## Nov 2007 384.8097 0.17272013 -2.073222354 -3.290348318 -3.235226651
## Dec 2007 385.0430 0.17288325 -0.826175905 -2.073222354 -3.290348318
## Jan 2008 385.3121 0.17303053  0.187083309 -0.826175905 -2.073222354
## Feb 2008 385.2087 0.17322332  0.777985144  0.187083309 -0.826175905
## Mar 2008 385.0081 0.17347763  1.432491614  0.777985144  0.187083309
## Apr 2008 385.0208 0.17375839  2.633528925  1.432491614  0.777985144
## May 2008 385.4643 0.17399476  3.149210688  2.633528925  1.432491614
## Jun 2008 385.6870 0.17422310  2.330465079  3.149210688  2.633528925
## Jul 2008 385.9465 0.17443742  0.601378173  2.330465079  3.149210688
## Aug 2008 386.1238 0.17465126 -1.697924990  0.601378173  2.330465079
## Sep 2008 386.4418 0.17484151 -3.223883736 -1.697924990  0.601378173
## Oct 2008 386.5051 0.17505012 -3.302621319 -3.223883736 -1.697924990
## Nov 2008 386.5455 0.17528090 -2.061293621 -3.302621319 -3.223883736
## Dec 2008 386.6845 0.17551764 -0.830628466 -2.061293621 -3.302621319
## Jan 2009 386.9085 0.17574641  0.192601919 -0.830628466 -2.061293621
## Feb 2009 387.0413 0.17598224  0.766138428  0.192601919 -0.830628466
## Mar 2009 387.3169 0.17620169  1.453998905  0.766138428  0.192601919
## Apr 2009 387.2355 0.17646352  2.616726478  1.453998905  0.766138428
## May 2009 387.2768 0.17674760  3.167201696  2.616726478  1.453998905
## Jun 2009 387.4297 0.17703560  2.331674472  3.167201696  2.616726478
## Jul 2009 387.6645 0.17731409  0.588481934  2.331674472  3.167201696
## Aug 2009 387.9169 0.17758023 -1.698146797  0.588481934  2.331674472
## Sep 2009 388.0749 0.17784960 -3.229994582 -1.698146797  0.588481934
## Oct 2009 388.0936 0.17814516 -3.311831385 -3.229994582 -1.698146797
## Nov 2009 388.3007 0.17843595 -2.045598009 -3.311831385 -3.229994582
## Dec 2009 388.5414 0.17871648 -0.830558243 -2.045598009 -3.311831385
## Jan 2010 388.8897 0.17896912  0.186703507 -0.830558243 -2.045598009
## Feb 2010 389.4591 0.17915750  0.774713714  0.186703507 -0.830558243
## Mar 2010 389.7948 0.17932012  1.448249811  0.774713714  0.186703507
## Apr 2010 389.9621 0.17948472  2.613576374  1.448249811  0.774713714
## May 2010 390.0043 0.17967191  3.185720422  2.613576374  1.448249811
## Jun 2010 390.0202 0.17988605  2.333839226  3.185720422  2.613576374
## Jul 2010 390.0018 0.18013282  0.576911374  2.333839226  3.185720422
## Aug 2010 390.2076 0.18037537 -1.700231681  0.576911374  2.333839226
## Sep 2010 390.3703 0.18062083 -3.246475223 -1.700231681  0.576911374
## Oct 2010 390.6577 0.18084871 -3.307613661 -3.246475223 -1.700231681
## Nov 2010 390.8392 0.18107649 -2.036270409 -3.307613661 -3.246475223
## Dec 2010 390.9320 0.18131879 -0.831588683 -2.036270409 -3.307613661
## Jan 2011 391.1716 0.18155151  0.196620521 -0.831588683 -2.036270409
## Feb 2011 391.2364 0.18180343  0.768815357  0.196620521 -0.831588683
## Mar 2011 391.2420 0.18208435  1.443113656  0.768815357  0.196620521
## Apr 2011 391.0955 0.18241935  2.608884357  1.443113656  0.768815357
## May 2011 391.3002 0.18275069  3.207207745  2.608884357  1.443113656
## Jun 2011 391.6345 0.18305707  2.328591087  3.207207745  2.608884357
## Jul 2011 391.9866 0.18333565  0.579970293  2.328591087  3.207207745
## Aug 2011 392.1352 0.18361993 -1.714425044  0.579970293  2.328591087
## Sep 2011 392.4047 0.18389009 -3.251868153 -1.714425044  0.579970293
## Oct 2011 392.5056 0.18417391 -3.310289120 -3.251868153 -1.714425044
## Nov 2011 392.6137 0.18447024 -2.033021872 -3.310289120 -3.251868153
## Dec 2011 392.8558 0.18475708 -0.817116464 -2.033021872 -3.310289120
## Jan 2012 393.0700 0.18503908  0.194375255 -0.817116464 -2.033021872
## Feb 2012 393.2239 0.18532621  0.768719776  0.194375255 -0.817116464
## Mar 2012 393.3153 0.18562879  1.421380843  0.768719776  0.194375255
## Apr 2012 393.6017 0.18591478  2.624368537  1.421380843  0.768719776
## May 2012 393.6842 0.18621781  3.225641073  2.624368537  1.421380843
## Jun 2012 393.7401 0.18654228  2.326382376  3.225641073  2.624368537
## Jul 2012 394.0040 0.18685401  0.567853825  2.326382376  3.225641073
## Aug 2012 394.2840 0.18715043 -1.711543609  0.567853825  2.326382376
## Sep 2012 394.5409 0.18743536 -3.270206739 -1.711543609  0.567853825
## Oct 2012 394.7326 0.18771958 -3.311596574 -3.270206739 -1.711543609
## Nov 2012 395.1251 0.18797011 -2.021742611 -3.311596574 -3.270206739
## Dec 2012 395.3895 0.18820806 -0.806250900 -2.021742611 -3.311596574
## Jan 2013 395.6717 0.18843054  0.191295012 -0.806250900 -2.021742611
## Feb 2013 396.0643 0.18861943  0.761392578  0.191295012 -0.806250900
## Mar 2013 396.1858 0.18881935  1.417919680  0.761392578  0.191295012
## Apr 2013 396.2328 0.18904262  2.623810073  1.417919680  0.761392578
## May 2013 396.5675 0.18924191  3.242487389  2.623810073  1.417919680
## Jun 2013 396.6237 0.18946309  2.336041114  3.242487389  2.623810073
## Jul 2013 396.8789 0.18967346  0.551482987  2.336041114  3.242487389
## Aug 2013 397.0287 0.18989039 -1.708576997  0.551482987  2.336041114
## Sep 2013 397.0859 0.19012916 -3.297118309 -1.708576997  0.551482987
## Oct 2013 397.2345 0.19037476 -3.296354444 -3.297118309 -1.708576997
## Nov 2013 397.4341 0.19061884 -2.023671971 -3.296354444 -3.297118309
## Dec 2013 397.7009 0.19085038 -0.793902360 -2.023671971 -3.296354444
## Jan 2014 397.8048 0.19109623  0.201404976 -0.793902360 -2.023671971
## Feb 2014 397.8640 0.19136379  0.737982693  0.201404976 -0.793902360
## Mar 2014 398.3642 0.19158052  1.409846978  0.737982693  0.201404976
## Apr 2014 398.6842 0.19177613  2.649090049  1.409846978  0.737982693
## May 2014 398.7699 0.19198919  3.230286948  2.649090049  1.409846978
## Jun 2014 398.9090 0.19221095  2.367460952  3.230286948  2.649090049
## Jul 2014 398.8447 0.19247492  0.526281734  2.367460952  3.230286948
## Aug 2014 398.9147 0.19275905 -1.710373770  0.526281734  2.367460952
## Sep 2014 399.0173 0.19305803 -3.317779397 -1.710373770  0.526281734
## Oct 2014 399.3318 0.19333701 -3.282694780 -3.317779397 -1.710373770
## Nov 2014 399.4995 0.19362021 -2.018742074 -3.282694780 -3.317779397
## Dec 2014 399.7747 0.19388999 -0.791252984 -2.018742074 -3.282694780
## Jan 2015 399.9221 0.19416741  0.201295623 -0.791252984 -2.018742074
## Feb 2015 399.9947 0.19446486  0.745370955  0.201295623 -0.791252984
## Mar 2015 400.3197 0.19474080  1.385994853  0.745370955  0.201295623
## Apr 2015 400.5996 0.19500274  2.664853690  1.385994853  0.745370955
## May 2015 400.7662 0.19526935  3.233250009  2.664853690  1.385994853
## Jun 2015 400.7333 0.19557351  2.382327060  3.233250009  2.664853690
## Jul 2015 400.8941 0.19588340  0.513312980  2.382327060  3.233250009
## Aug 2015 400.9853 0.19621051 -1.719995143  0.513312980  2.382327060
## Sep 2015 401.2830 0.19652092 -3.323461247 -1.719995143  0.513312980
## Oct 2015 401.7663 0.19678414 -3.286100875 -3.323461247 -1.719995143
## Nov 2015 402.2368 0.19700232 -2.000183672 -3.286100875 -3.323461247
## Dec 2015 402.6631 0.19718275 -0.796627762 -2.000183672 -3.286100875
## Jan 2016 402.8328 0.19736771  0.193551178 -0.796627762 -2.000183672
## Feb 2016 403.3959 0.19749248  0.770154504  0.193551178 -0.796627762
## Mar 2016 403.8478 0.19757538  1.355751143  0.770154504  0.193551178
## Apr 2016 404.4902 0.19758507  2.681124110  1.355751143  0.770154504
## May 2016 404.5638 0.19761518  3.222871974  2.681124110  1.355751143
## Jun 2016 404.4869 0.19769045  2.415457454  3.222871974  2.681124110
## Jul 2016 404.2938 0.19783004  0.485340058  2.415457454  3.222871974
## Aug 2016 404.3518 0.19799264 -1.721354040  0.485340058  2.415457454
## Sep 2016 404.6495 0.19813883 -3.324207066 -1.721354040  0.485340058
## Oct 2016 405.0739 0.19824779 -3.294153235 -3.324207066 -1.721354040
## Nov 2016 405.4848 0.19832175 -1.976583162 -3.294153235 -3.324207066
## Dec 2016 405.6145 0.19840700 -0.826010546 -1.976583162 -3.294153235
## Jan 2017 405.9416 0.19847108  0.217946777 -0.826010546 -1.976583162
## Feb 2017 406.0026 0.19855778  0.772490044  0.217946777 -0.826010546
## Mar 2017 406.2163 0.19864199  1.355044757  0.772490044  0.217946777
## Apr 2017 406.4718 0.19871683  2.664612923  1.355044757  0.772490044
## May 2017 406.6164 0.19880059  3.223190439  2.664612923  1.355044757
## Jun 2017 406.6942 0.19890425  2.439314446  3.223190439  2.664612923
## Jul 2017 406.8432 0.19901613  0.467910302  2.439314446  3.223190439
## Aug 2017 406.9672 0.19914035 -1.719887817  0.467910302  2.439314446
## Sep 2017 406.9950 0.19929278 -3.324198006 -1.719887817  0.467910302
## Oct 2017 407.1566 0.19945141 -3.298659907 -3.324198006 -1.719887817
## Nov 2017 407.3687 0.19960796 -1.973739442 -3.298659907 -3.324198006
## Dec 2017 407.6936 0.19974389 -0.829189831 -1.973739442 -3.298659907
## Jan 2018 407.8387 0.19988880  0.217794865 -0.829189831 -1.973739442
## Feb 2018 407.8600 0.20006311  0.789571735  0.217794865 -0.829189831
## Mar 2018 408.0533 0.20023853  1.355493567  0.789571735  0.217794865
## Apr 2018 408.0064 0.20045464  2.642629524  1.355493567  0.789571735
## May 2018 408.2237 0.20066796  3.220895720  2.642629524  1.355493567
## Jun 2018 408.4474 0.20087749  2.469685940  3.220895720  2.642629524
## Jul 2018 408.5745 0.20109917  0.449791446  2.469685940  3.220895720
## Aug 2018 408.8667 0.20130585 -1.726813391  0.449791446  2.469685940
## Sep 2018 409.1325 0.20150192 -3.315461725 -1.726813391  0.449791446
## Oct 2018 409.5405 0.20166401 -3.307224498 -3.315461725 -1.726813391
## Nov 2018 410.0060 0.20178267 -1.961014443 -3.307224498 -3.315461725
## Dec 2018 410.2527 0.20189394 -0.842069877 -1.961014443 -3.307224498
## Jan 2019 410.6861 0.20196711  0.210961218 -0.842069877 -1.961014443
## Feb 2019 410.9432 0.20203121  0.826368962  0.210961218 -0.842069877
## Mar 2019 410.9476 0.20212782  1.330421446  0.826368962  0.210961218
## Apr 2019 411.0823 0.20223554  2.641869166  1.330421446  0.826368962
## May 2019 411.4615 0.20231414  3.214284889  2.641869166  1.330421446
## Jun 2019 411.5963 0.20240384  2.489909432  3.214284889  2.641869166
## Jul 2019 411.6466 0.20251859  0.444289249  2.489909432  3.214284889
## Aug 2019 411.8706 0.20262979 -1.743767035  0.444289249  2.489909432
## Sep 2019 412.0374 0.20274689 -3.299674431 -1.743767035  0.444289249
## Oct 2019 412.1749 0.20287473 -3.310452594 -3.299674431 -1.743767035
## Nov 2019 412.4776 0.20298614 -1.967270614 -3.310452594 -3.299674431
## Dec 2019 412.8339 0.20307231 -0.833556716 -1.967270614 -3.310452594
## Jan 2020 413.2307 0.20312662  0.196147490 -0.833556716 -1.967270614
## Feb 2020 413.4109 0.20318469  0.850386332  0.196147490 -0.833556716
## Mar 2020 413.5131 0.20325938  1.312824296  0.850386332  0.196147490
## Apr 2020 413.7561 0.20332753  2.657896808  1.312824296  0.850386332
## May 2020 413.9910 0.20339048  3.189618491  2.657896808  1.312824296
## Jun 2020 414.0942 0.20346991  2.507392142  3.189618491  2.657896808
## Jul 2020 414.2262 0.20356111  0.452404403  2.507392142  3.189618491
## Aug 2020 414.4893 0.20364252 -1.767922110  0.452404403  2.507392142
## Sep 2020 414.7143 0.20372041 -3.288531386 -1.767922110  0.452404403
## Oct 2020 414.8409 0.20381099 -3.305156431 -3.288531386 -1.767922110
## Nov 2020 415.0283 0.20390428 -1.976265989 -3.305156431 -3.288531386
## Dec 2020 415.1521 0.20401074 -0.818261179 -1.976265989 -3.305156431
## Jan 2021 415.4139 0.20410770  0.170326342 -0.818261179 -1.976265989
## Feb 2021 415.8007 0.20417459  0.872177497  0.170326342 -0.818261179
## Mar 2021 416.1252 0.20422168  1.305447418  0.872177497  0.170326342
## Apr 2021 416.2116 0.20428816  2.673233992  1.305447418  0.872177497
## May 2021 416.1319 0.20440136  3.157037385  2.673233992  1.305447418
## Jun 2021 416.3165 0.20451784  2.526498886  3.157037385  2.673233992
## Jul 2021 416.3856 0.20465661  0.468066889  2.526498886  3.157037385
## Aug 2021 416.3933 0.20482779 -1.795096848  0.468066889  2.526498886
## Sep 2021 416.6376 0.20499246 -3.283503014 -1.795096848  0.468066889
## Oct 2021 417.0070 0.20513009 -3.291967086 -3.283503014 -1.795096848
## Nov 2021 417.1309 0.20528107 -1.994331015 -3.291967086 -3.283503014
## Dec 2021 417.4761 0.20540903 -0.797000886 -1.994331015 -3.291967086
## Jan 2022 417.8336 0.20551196  0.149367159 -0.797000886 -1.994331015
## Feb 2022 417.9960 0.20562198  0.893636574  0.149367159 -0.797000886
## Mar 2022 417.6935 0.20581563  1.291181931  0.893636574  0.149367159
## Apr 2022 417.6895 0.20604380  2.678599946  1.291181931  0.893636574
## May 2022 417.9221 0.20626761  3.146994371  2.678599946  1.291181931
## Jun 2022 418.2865 0.20646540  2.533538318  3.146994371  2.678599946
## Jul 2022 418.4918 0.20666338  0.476937940  2.533538318  3.146994371
## Aug 2022 418.8548 0.20683562 -1.810872070  0.476937940  2.533538318
## Sep 2022 419.0773 0.20700530 -3.271270999 -1.810872070  0.476937940
## Oct 2022 419.1618 0.20719513 -3.302074312 -3.271270999 -1.810872070
## Nov 2022 419.4055 0.20737896 -1.993592538 -3.302074312 -3.271270999
## Dec 2022 419.5721 0.20756948 -0.775788116 -1.993592538 -3.302074312
## Jan 2023 419.4820 0.20780900  0.130149445 -0.775788116 -1.993592538
## Feb 2023 419.5808 0.20806645  0.886343374  0.130149445 -0.775788116
## Mar 2023 419.8885 0.20830751  1.299880164  0.886343374  0.130149445
## Apr 2023 420.4598 0.20848885  2.685162737  1.299880164  0.886343374
## May 2023 420.8121 0.20864651  3.142126078  2.685162737  1.299880164
## Jun 2023 421.1038 0.20879051  2.523667624  3.142126078  2.685162737
## Jul 2023 421.3258 0.20893232  0.502928526  2.523667624  3.142126078
## Aug 2023 421.5464 0.20907222 -1.835025326  0.502928526  2.523667624
## Sep 2023 421.8086 0.20920337 -3.267228452 -1.835025326  0.502928526
## Oct 2023 422.1126 0.20931892 -3.297346645 -3.267228452 -1.835025326
## Nov 2023 422.4105 0.20941989 -1.994418551 -3.297346645 -3.267228452
## Dec 2023 422.6502 0.20951587 -0.771985100 -1.994418551 -3.297346645
## Jan 2024 422.9143 0.20960288  0.122781772 -0.771985100 -1.994418551
## Feb 2024 423.4931 0.20962913  0.878081982  0.122781772 -0.771985100
## Mar 2024 423.8346 0.20963368  1.323527147  0.878081982  0.122781772
## Apr 2024 423.8815 0.20966501  2.673893237  1.323527147  0.878081982
## May 2024 423.9887 0.20971319  3.141913902  2.673893237  1.323527147
## Jun 2024 424.4021 0.20972785  2.511651236  3.141913902  2.673893237
## Jul 2024 424.8206 0.20970817  0.529611226  2.511651236  3.141913902
## Aug 2024 424.9738 0.20969777 -1.857976928  0.529611226  2.511651236
## Sep 2024 425.2941 0.20966917 -3.261850952 -1.857976928  0.529611226
## Oct 2024 425.6175 0.20962186 -3.292504672 -3.261850952 -1.857976928
## Nov 2024 425.8677 0.20956787 -1.998987971 -3.292504672 -3.261850952
## Dec 2024 426.1427 0.20950311 -0.773968859 -1.998987971 -3.292504672
## Jan 2025 426.3763 0.20943440  0.138859711 -0.773968859 -1.998987971
## Feb 2025 426.4307 0.20939120  0.856049172  0.138859711 -0.773968859
## Mar 2025 426.7461 0.20933054  1.335708642  0.856049172  0.138859711
## Apr 2025 426.9711 0.20926730  2.665654904  1.335708642  0.856049172
## May 2025 427.1917 0.20920220  3.156924360  2.665654904  1.335708642
## Jun 2025 427.1981 0.20917048  2.498775308  3.156924360  2.665654904
## Jul 2025 427.3198 0.20915315  0.536744167  2.498775308  3.156924360
## Aug 2025 427.4237 0.20915315 -1.864334477  0.536744167  2.498775308
##            sea_dummy4   sea_dummy5   sea_dummy6   sea_dummy7   sea_dummy8
## Mar 1958 -0.938574614 -2.076723539 -3.273437881 -2.873138911 -1.233116059
## Apr 1958  0.001769017 -0.938574614 -2.076723539 -3.273437881 -2.873138911
## May 1958  0.740661162  0.001769017 -0.938574614 -2.076723539 -3.273437881
## Jun 1958  1.285817035  0.740661162  0.001769017 -0.938574614 -2.076723539
## Jul 1958  2.511326512  1.285817035  0.740661162  0.001769017 -0.938574614
## Aug 1958  2.870797423  2.511326512  1.285817035  0.740661162  0.001769017
## Sep 1958  2.299525909  2.870797423  2.511326512  1.285817035  0.740661162
## Oct 1958  0.685093947  2.299525909  2.870797423  2.511326512  1.285817035
## Nov 1958 -1.233116059  0.685093947  2.299525909  2.870797423  2.511326512
## Dec 1958 -2.873138911 -1.233116059  0.685093947  2.299525909  2.870797423
## Jan 1959 -3.273437881 -2.873138911 -1.233116059  0.685093947  2.299525909
## Feb 1959 -2.076723539 -3.273437881 -2.873138911 -1.233116059  0.685093947
## Mar 1959 -0.938574614 -2.076723539 -3.273437881 -2.873138911 -1.233116059
## Apr 1959  0.001769017 -0.938574614 -2.076723539 -3.273437881 -2.873138911
## May 1959  0.736320343  0.001769017 -0.938574614 -2.076723539 -3.273437881
## Jun 1959  1.300476264  0.736320343  0.001769017 -0.938574614 -2.076723539
## Jul 1959  2.489194844  1.300476264  0.736320343  0.001769017 -0.938574614
## Aug 1959  2.886351251  2.489194844  1.300476264  0.736320343  0.001769017
## Sep 1959  2.292430981  2.886351251  2.489194844  1.300476264  0.736320343
## Oct 1959  0.706076716  2.292430981  2.886351251  2.489194844  1.300476264
## Nov 1959 -1.256033960  0.706076716  2.292430981  2.886351251  2.489194844
## Dec 1959 -2.875430410 -1.256033960  0.706076716  2.292430981  2.886351251
## Jan 1960 -3.270547795 -2.875430410 -1.256033960  0.706076716  2.292430981
## Feb 1960 -2.065818180 -3.270547795 -2.875430410 -1.256033960  0.706076716
## Mar 1960 -0.946045104 -2.065818180 -3.270547795 -2.875430410 -1.256033960
## Apr 1960  0.008809420 -0.946045104 -2.065818180 -3.270547795 -2.875430410
## May 1960  0.717685622  0.008809420 -0.946045104 -2.065818180 -3.270547795
## Jun 1960  1.321499087  0.717685622  0.008809420 -0.946045104 -2.065818180
## Jul 1960  2.470804069  1.321499087  0.717685622  0.008809420 -0.946045104
## Aug 1960  2.907375800  2.470804069  1.321499087  0.717685622  0.008809420
## Sep 1960  2.272162748  2.907375800  2.470804069  1.321499087  0.717685622
## Oct 1960  0.732498574  2.272162748  2.907375800  2.470804069  1.321499087
## Nov 1960 -1.267324370  0.732498574  2.272162748  2.907375800  2.470804069
## Dec 1960 -2.896300697 -1.267324370  0.732498574  2.272162748  2.907375800
## Jan 1961 -3.253337719 -2.896300697 -1.267324370  0.732498574  2.272162748
## Feb 1961 -2.069199583 -3.253337719 -2.896300697 -1.267324370  0.732498574
## Mar 1961 -0.945738042 -2.069199583 -3.253337719 -2.896300697 -1.267324370
## Apr 1961  0.012837398 -0.945738042 -2.069199583 -3.253337719 -2.896300697
## May 1961  0.700015975  0.012837398 -0.945738042 -2.069199583 -3.253337719
## Jun 1961  1.346543182  0.700015975  0.012837398 -0.945738042 -2.069199583
## Jul 1961  2.457765683  1.346543182  0.700015975  0.012837398 -0.945738042
## Aug 1961  2.920056028  2.457765683  1.346543182  0.700015975  0.012837398
## Sep 1961  2.254741320  2.920056028  2.457765683  1.346543182  0.700015975
## Oct 1961  0.750622273  2.254741320  2.920056028  2.457765683  1.346543182
## Nov 1961 -1.273121172  0.750622273  2.254741320  2.920056028  2.457765683
## Dec 1961 -2.914976585 -1.273121172  0.750622273  2.254741320  2.920056028
## Jan 1962 -3.237575513 -2.914976585 -1.273121172  0.750622273  2.254741320
## Feb 1962 -2.069948645 -3.237575513 -2.914976585 -1.273121172  0.750622273
## Mar 1962 -0.954345379 -2.069948645 -3.237575513 -2.914976585 -1.273121172
## Apr 1962  0.025658675 -0.954345379 -2.069948645 -3.237575513 -2.914976585
## May 1962  0.682943295  0.025658675 -0.954345379 -2.069948645 -3.237575513
## Jun 1962  1.360178023  0.682943295  0.025658675 -0.954345379 -2.069948645
## Jul 1962  2.465601342  1.360178023  0.682943295  0.025658675 -0.954345379
## Aug 1962  2.911467340  2.465601342  1.360178023  0.682943295  0.025658675
## Sep 1962  2.249567636  2.911467340  2.465601342  1.360178023  0.682943295
## Oct 1962  0.767957698  2.249567636  2.911467340  2.465601342  1.360178023
## Nov 1962 -1.289811562  0.767957698  2.249567636  2.911467340  2.465601342
## Dec 1962 -2.910595006 -1.289811562  0.767957698  2.249567636  2.911467340
## Jan 1963 -3.246256864 -2.910595006 -1.289811562  0.767957698  2.249567636
## Feb 1963 -2.063783813 -3.246256864 -2.910595006 -1.289811562  0.767957698
## Mar 1963 -0.960151291 -2.063783813 -3.246256864 -2.910595006 -1.289811562
## Apr 1963  0.035847066 -0.960151291 -2.063783813 -3.246256864 -2.910595006
## May 1963  0.678326949  0.035847066 -0.960151291 -2.063783813 -3.246256864
## Jun 1963  1.356368736  0.678326949  0.035847066 -0.960151291 -2.063783813
## Jul 1963  2.478883237  1.356368736  0.678326949  0.035847066 -0.960151291
## Aug 1963  2.907063744  2.478883237  1.356368736  0.678326949  0.035847066
## Sep 1963  2.249686833  2.907063744  2.478883237  1.356368736  0.678326949
## Oct 1963  0.769704303  2.249686833  2.907063744  2.478883237  1.356368736
## Nov 1963 -1.287186615  0.769704303  2.249686833  2.907063744  2.478883237
## Dec 1963 -2.929599328 -1.287186615  0.769704303  2.249686833  2.907063744
## Jan 1964 -3.238476273 -2.929599328 -1.287186615  0.769704303  2.249686833
## Feb 1964 -2.063309725 -3.238476273 -2.929599328 -1.287186615  0.769704303
## Mar 1964 -0.961762771 -2.063309725 -3.238476273 -2.929599328 -1.287186615
## Apr 1964  0.035654844 -0.961762771 -2.063309725 -3.238476273 -2.929599328
## May 1964  0.682074536  0.035654844 -0.961762771 -2.063309725 -3.238476273
## Jun 1964  1.356793087  0.682074536  0.035654844 -0.961762771 -2.063309725
## Jul 1964  2.493740923  1.356793087  0.682074536  0.035654844 -0.961762771
## Aug 1964  2.892307931  2.493740923  1.356793087  0.682074536  0.035654844
## Sep 1964  2.247244168  2.892307931  2.493740923  1.356793087  0.682074536
## Oct 1964  0.780195441  2.247244168  2.892307931  2.493740923  1.356793087
## Nov 1964 -1.285989200  0.780195441  2.247244168  2.892307931  2.493740923
## Dec 1964 -2.948344578 -1.285989200  0.780195441  2.247244168  2.892307931
## Jan 1965 -3.235847332 -2.948344578 -1.285989200  0.780195441  2.247244168
## Feb 1965 -2.056293442 -3.235847332 -2.948344578 -1.285989200  0.780195441
## Mar 1965 -0.961836860 -2.056293442 -3.235847332 -2.948344578 -1.285989200
## Apr 1965  0.026144181 -0.961836860 -2.056293442 -3.235847332 -2.948344578
## May 1965  0.692206017  0.026144181 -0.961836860 -2.056293442 -3.235847332
## Jun 1965  1.354361287  0.692206017  0.026144181 -0.961836860 -2.056293442
## Jul 1965  2.508762738  1.354361287  0.692206017  0.026144181 -0.961836860
## Aug 1965  2.883711733  2.508762738  1.354361287  0.692206017  0.026144181
## Sep 1965  2.237174107  2.883711733  2.508762738  1.354361287  0.692206017
## Oct 1965  0.800105409  2.237174107  2.883711733  2.508762738  1.354361287
## Nov 1965 -1.301237024  0.800105409  2.237174107  2.883711733  2.508762738
## Dec 1965 -2.945089229 -1.301237024  0.800105409  2.237174107  2.883711733
## Jan 1966 -3.253690460 -2.945089229 -1.301237024  0.800105409  2.237174107
## Feb 1966 -2.039500560 -3.253690460 -2.945089229 -1.301237024  0.800105409
## Mar 1966 -0.968778092 -2.039500560 -3.253690460 -2.945089229 -1.301237024
## Apr 1966  0.031439279 -0.968778092 -2.039500560 -3.253690460 -2.945089229
## May 1966  0.687418978  0.031439279 -0.968778092 -2.039500560 -3.253690460
## Jun 1966  1.361061202  0.687418978  0.031439279 -0.968778092 -2.039500560
## Jul 1966  2.509906373  1.361061202  0.687418978  0.031439279 -0.968778092
## Aug 1966  2.889263700  2.509906373  1.361061202  0.687418978  0.031439279
## Sep 1966  2.236603691  2.889263700  2.509906373  1.361061202  0.687418978
## Oct 1966  0.793692857  2.236603691  2.889263700  2.509906373  1.361061202
## Nov 1966 -1.291874766  0.793692857  2.236603691  2.889263700  2.509906373
## Dec 1966 -2.962393301 -1.291874766  0.793692857  2.236603691  2.889263700
## Jan 1967 -3.253359074 -2.962393301 -1.291874766  0.793692857  2.236603691
## Feb 1967 -2.045702298 -3.253359074 -2.962393301 -1.291874766  0.793692857
## Mar 1967 -0.958082908 -2.045702298 -3.253359074 -2.962393301 -1.291874766
## Apr 1967  0.037394143 -0.958082908 -2.045702298 -3.253359074 -2.962393301
## May 1967  0.676956542  0.037394143 -0.958082908 -2.045702298 -3.253359074
## Jun 1967  1.369802890  0.676956542  0.037394143 -0.958082908 -2.045702298
## Jul 1967  2.506609677  1.369802890  0.676956542  0.037394143 -0.958082908
## Aug 1967  2.903407143  2.506609677  1.369802890  0.676956542  0.037394143
## Sep 1967  2.229746785  2.903407143  2.506609677  1.369802890  0.676956542
## Oct 1967  0.789323262  2.229746785  2.903407143  2.506609677  1.369802890
## Nov 1967 -1.284577652  0.789323262  2.229746785  2.903407143  2.506609677
## Dec 1967 -2.986277343 -1.284577652  0.789323262  2.229746785  2.903407143
## Jan 1968 -3.236086254 -2.986277343 -1.284577652  0.789323262  2.229746785
## Feb 1968 -2.061437181 -3.236086254 -2.986277343 -1.284577652  0.789323262
## Mar 1968 -0.939775261 -2.061437181 -3.236086254 -2.986277343 -1.284577652
## Apr 1968  0.025450372 -0.939775261 -2.061437181 -3.236086254 -2.986277343
## May 1968  0.674571168  0.025450372 -0.939775261 -2.061437181 -3.236086254
## Jun 1968  1.386694581  0.674571168  0.025450372 -0.939775261 -2.061437181
## Jul 1968  2.501840115  1.386694581  0.674571168  0.025450372 -0.939775261
## Aug 1968  2.907324961  2.501840115  1.386694581  0.674571168  0.025450372
## Sep 1968  2.224907752  2.907324961  2.501840115  1.386694581  0.674571168
## Oct 1968  0.797476147  2.224907752  2.907324961  2.501840115  1.386694581
## Nov 1968 -1.290172535  0.797476147  2.224907752  2.907324961  2.501840115
## Dec 1968 -3.000346528 -1.290172535  0.797476147  2.224907752  2.907324961
## Jan 1969 -3.223606804 -3.000346528 -1.290172535  0.797476147  2.224907752
## Feb 1969 -2.075232072 -3.223606804 -3.000346528 -1.290172535  0.797476147
## Mar 1969 -0.931422415 -2.075232072 -3.223606804 -3.000346528 -1.290172535
## Apr 1969  0.021152192 -0.931422415 -2.075232072 -3.223606804 -3.000346528
## May 1969  0.672903018  0.021152192 -0.931422415 -2.075232072 -3.223606804
## Jun 1969  1.401248854  0.672903018  0.021152192 -0.931422415 -2.075232072
## Jul 1969  2.497910880  1.401248854  0.672903018  0.021152192 -0.931422415
## Aug 1969  2.918429007  2.497910880  1.401248854  0.672903018  0.021152192
## Sep 1969  2.213916527  2.918429007  2.497910880  1.401248854  0.672903018
## Oct 1969  0.804128040  2.213916527  2.918429007  2.497910880  1.401248854
## Nov 1969 -1.298041330  0.804128040  2.213916527  2.918429007  2.497910880
## Dec 1969 -3.008725278 -1.298041330  0.804128040  2.213916527  2.918429007
## Jan 1970 -3.218557216 -3.008725278 -1.298041330  0.804128040  2.213916527
## Feb 1970 -2.076556090 -3.218557216 -3.008725278 -1.298041330  0.804128040
## Mar 1970 -0.929535186 -2.076556090 -3.218557216 -3.008725278 -1.298041330
## Apr 1970  0.006618272 -0.929535186 -2.076556090 -3.218557216 -3.008725278
## May 1970  0.690295751  0.006618272 -0.929535186 -2.076556090 -3.218557216
## Jun 1970  1.399910774  0.690295751  0.006618272 -0.929535186 -2.076556090
## Jul 1970  2.503904161  1.399910774  0.690295751  0.006618272 -0.929535186
## Aug 1970  2.920980483  2.503904161  1.399910774  0.690295751  0.006618272
## Sep 1970  2.217787327  2.920980483  2.503904161  1.399910774  0.690295751
## Oct 1970  0.792943479  2.217787327  2.920980483  2.503904161  1.399910774
## Nov 1970 -1.288179257  0.792943479  2.217787327  2.920980483  2.503904161
## Dec 1970 -3.036884261 -1.288179257  0.792943479  2.217787327  2.920980483
## Jan 1971 -3.204398382 -3.036884261 -1.288179257  0.792943479  2.217787327
## Feb 1971 -2.074783839 -3.204398382 -3.036884261 -1.288179257  0.792943479
## Mar 1971 -0.932029574 -2.074783839 -3.204398382 -3.036884261 -1.288179257
## Apr 1971 -0.002846830 -0.932029574 -2.074783839 -3.204398382 -3.036884261
## May 1971  0.707510819 -0.002846830 -0.932029574 -2.074783839 -3.204398382
## Jun 1971  1.397713610  0.707510819 -0.002846830 -0.932029574 -2.074783839
## Jul 1971  2.495755568  1.397713610  0.707510819 -0.002846830 -0.932029574
## Aug 1971  2.942054508  2.495755568  1.397713610  0.707510819 -0.002846830
## Sep 1971  2.213138445  2.942054508  2.495755568  1.397713610  0.707510819
## Oct 1971  0.789678002  2.213138445  2.942054508  2.495755568  1.397713610
## Nov 1971 -1.284203014  0.789678002  2.213138445  2.942054508  2.495755568
## Dec 1971 -3.063368070 -1.284203014  0.789678002  2.213138445  2.942054508
## Jan 1972 -3.196406101 -3.063368070 -1.284203014  0.789678002  2.213138445
## Feb 1972 -2.068242966 -3.196406101 -3.063368070 -1.284203014  0.789678002
## Mar 1972 -0.930490128 -2.068242966 -3.196406101 -3.063368070 -1.284203014
## Apr 1972 -0.018857433 -0.930490128 -2.068242966 -3.196406101 -3.063368070
## May 1972  0.725732878 -0.018857433 -0.930490128 -2.068242966 -3.196406101
## Jun 1972  1.384013130  0.725732878 -0.018857433 -0.930490128 -2.068242966
## Jul 1972  2.514355656  1.384013130  0.725732878 -0.018857433 -0.930490128
## Aug 1972  2.951485258  2.514355656  1.384013130  0.725732878 -0.018857433
## Sep 1972  2.206381535  2.951485258  2.514355656  1.384013130  0.725732878
## Oct 1972  0.787589388  2.206381535  2.951485258  2.514355656  1.384013130
## Nov 1972 -1.290863199  0.787589388  2.206381535  2.951485258  2.514355656
## Dec 1972 -3.073829647 -1.290863199  0.787589388  2.206381535  2.951485258
## Jan 1973 -3.194784486 -3.073829647 -1.290863199  0.787589388  2.206381535
## Feb 1973 -2.060997432 -3.194784486 -3.073829647 -1.290863199  0.787589388
## Mar 1973 -0.933751488 -2.060997432 -3.194784486 -3.073829647 -1.290863199
## Apr 1973 -0.026605545 -0.933751488 -2.060997432 -3.194784486 -3.073829647
## May 1973  0.724103318 -0.026605545 -0.933751488 -2.060997432 -3.194784486
## Jun 1973  1.405053306  0.724103318 -0.026605545 -0.933751488 -2.060997432
## Jul 1973  2.508223126  1.405053306  0.724103318 -0.026605545 -0.933751488
## Aug 1973  2.957790671  2.508223126  1.405053306  0.724103318 -0.026605545
## Sep 1973  2.212940015  2.957790671  2.508223126  1.405053306  0.724103318
## Oct 1973  0.782492408  2.212940015  2.957790671  2.508223126  1.405053306
## Nov 1973 -1.299834459  0.782492408  2.212940015  2.957790671  2.508223126
## Dec 1973 -3.078680528 -1.299834459  0.782492408  2.212940015  2.957790671
## Jan 1974 -3.199008258 -3.078680528 -1.299834459  0.782492408  2.212940015
## Feb 1974 -2.057978823 -3.199008258 -3.078680528 -1.299834459  0.782492408
## Mar 1974 -0.932589103 -2.057978823 -3.199008258 -3.078680528 -1.299834459
## Apr 1974 -0.030449681 -0.932589103 -2.057978823 -3.199008258 -3.078680528
## May 1974  0.716153192 -0.030449681 -0.932589103 -2.057978823 -3.199008258
## Jun 1974  1.425712054  0.716153192 -0.030449681 -0.932589103 -2.057978823
## Jul 1974  2.511493753  1.425712054  0.716153192 -0.030449681 -0.932589103
## Aug 1974  2.958272533  2.511493753  1.425712054  0.716153192 -0.030449681
## Sep 1974  2.217327718  2.958272533  2.511493753  1.425712054  0.716153192
## Oct 1974  0.787265998  2.217327718  2.958272533  2.511493753  1.425712054
## Nov 1974 -1.318918406  0.787265998  2.217327718  2.958272533  2.511493753
## Dec 1974 -3.084190547 -1.318918406  0.787265998  2.217327718  2.958272533
## Jan 1975 -3.198556732 -3.084190547 -1.318918406  0.787265998  2.217327718
## Feb 1975 -2.067563575 -3.198556732 -3.084190547 -1.318918406  0.787265998
## Mar 1975 -0.923715328 -2.067563575 -3.198556732 -3.084190547 -1.318918406
## Apr 1975 -0.018021689 -0.923715328 -2.067563575 -3.198556732 -3.084190547
## May 1975  0.692919310 -0.018021689 -0.923715328 -2.067563575 -3.198556732
## Jun 1975  1.448143466  0.692919310 -0.018021689 -0.923715328 -2.067563575
## Jul 1975  2.516682444  1.448143466  0.692919310 -0.018021689 -0.923715328
## Aug 1975  2.949455979  2.516682444  1.448143466  0.692919310 -0.018021689
## Sep 1975  2.235130289  2.949455979  2.516682444  1.448143466  0.692919310
## Oct 1975  0.788557180  2.235130289  2.949455979  2.516682444  1.448143466
## Nov 1975 -1.343206765  0.788557180  2.235130289  2.949455979  2.516682444
## Dec 1975 -3.085544583 -1.343206765  0.788557180  2.235130289  2.949455979
## Jan 1976 -3.202877994 -3.085544583 -1.343206765  0.788557180  2.235130289
## Feb 1976 -2.072179121 -3.202877994 -3.085544583 -1.343206765  0.788557180
## Mar 1976 -0.912058838 -2.072179121 -3.202877994 -3.085544583 -1.343206765
## Apr 1976 -0.009962684 -0.912058838 -2.072179121 -3.202877994 -3.085544583
## May 1976  0.662500088 -0.009962684 -0.912058838 -2.072179121 -3.202877994
## Jun 1976  1.478370431  0.662500088 -0.009962684 -0.912058838 -2.072179121
## Jul 1976  2.527591020  1.478370431  0.662500088 -0.009962684 -0.912058838
## Aug 1976  2.934967777  2.527591020  1.478370431  0.662500088 -0.009962684
## Sep 1976  2.249167993  2.934967777  2.527591020  1.478370431  0.662500088
## Oct 1976  0.792884826  2.249167993  2.934967777  2.527591020  1.478370431
## Nov 1976 -1.362771504  0.792884826  2.249167993  2.934967777  2.527591020
## Dec 1976 -3.093461645 -1.362771504  0.792884826  2.249167993  2.934967777
## Jan 1977 -3.209286836 -3.093461645 -1.362771504  0.792884826  2.249167993
## Feb 1977 -2.067882669 -3.209286836 -3.093461645 -1.362771504  0.792884826
## Mar 1977 -0.911553186 -2.067882669 -3.209286836 -3.093461645 -1.362771504
## Apr 1977  0.015031229 -0.911553186 -2.067882669 -3.209286836 -3.093461645
## May 1977  0.613710732  0.015031229 -0.911553186 -2.067882669 -3.209286836
## Jun 1977  1.525215746  0.613710732  0.015031229 -0.911553186 -2.067882669
## Jul 1977  2.519268846  1.525215746  0.613710732  0.015031229 -0.911553186
## Aug 1977  2.928753074  2.519268846  1.525215746  0.613710732  0.015031229
## Sep 1977  2.278418910  2.928753074  2.519268846  1.525215746  0.613710732
## Oct 1977  0.776452270  2.278418910  2.928753074  2.519268846  1.525215746
## Nov 1977 -1.374029321  0.776452270  2.278418910  2.928753074  2.519268846
## Dec 1977 -3.106744934 -1.374029321  0.776452270  2.278418910  2.928753074
## Jan 1978 -3.206857059 -3.106744934 -1.374029321  0.776452270  2.278418910
## Feb 1978 -2.064837775 -3.206857059 -3.106744934 -1.374029321  0.776452270
## Mar 1978 -0.915097581 -2.064837775 -3.206857059 -3.106744934 -1.374029321
## Apr 1978  0.031623689 -0.915097581 -2.064837775 -3.206857059 -3.106744934
## May 1978  0.589078358  0.031623689 -0.915097581 -2.064837775 -3.206857059
## Jun 1978  1.553387420  0.589078358  0.031623689 -0.915097581 -2.064837775
## Jul 1978  2.519471433  1.553387420  0.589078358  0.031623689 -0.915097581
## Aug 1978  2.911513786  2.519471433  1.553387420  0.589078358  0.031623689
## Sep 1978  2.318112324  2.911513786  2.519471433  1.553387420  0.589078358
## Oct 1978  0.748352867  2.318112324  2.911513786  2.519471433  1.553387420
## Nov 1978 -1.368915365  0.748352867  2.318112324  2.911513786  2.519471433
## Dec 1978 -3.129926878 -1.368915365  0.748352867  2.318112324  2.911513786
## Jan 1979 -3.204410887 -3.129926878 -1.368915365  0.748352867  2.318112324
## Feb 1979 -2.063514675 -3.204410887 -3.129926878 -1.368915365  0.748352867
## Mar 1979 -0.907900632 -2.063514675 -3.204410887 -3.129926878 -1.368915365
## Apr 1979  0.030843113 -0.907900632 -2.063514675 -3.204410887 -3.129926878
## May 1979  0.582247431  0.030843113 -0.907900632 -2.063514675 -3.204410887
## Jun 1979  1.571402407  0.582247431  0.030843113 -0.907900632 -2.063514675
## Jul 1979  2.515755847  1.571402407  0.582247431  0.030843113 -0.907900632
## Aug 1979  2.910808578  2.515755847  1.571402407  0.582247431  0.030843113
## Sep 1979  2.345059644  2.910808578  2.515755847  1.571402407  0.582247431
## Oct 1979  0.723004621  2.345059644  2.910808578  2.515755847  1.571402407
## Nov 1979 -1.372003611  0.723004621  2.345059644  2.910808578  2.515755847
## Dec 1979 -3.142020822 -1.372003611  0.723004621  2.345059644  2.910808578
## Jan 1980 -3.203358970 -3.142020822 -1.372003611  0.723004621  2.345059644
## Feb 1980 -2.067593564 -3.203358970 -3.142020822 -1.372003611  0.723004621
## Mar 1980 -0.893239233 -2.067593564 -3.203358970 -3.142020822 -1.372003611
## Apr 1980  0.021105243 -0.893239233 -2.067593564 -3.203358970 -3.142020822
## May 1980  0.592611881  0.021105243 -0.893239233 -2.067593564 -3.203358970
## Jun 1980  1.564633440  0.592611881  0.021105243 -0.893239233 -2.067593564
## Jul 1980  2.522528827  1.564633440  0.592611881  0.021105243 -0.893239233
## Aug 1980  2.923133131  2.522528827  1.564633440  0.592611881  0.021105243
## Sep 1980  2.353676405  2.923133131  2.522528827  1.564633440  0.592611881
## Oct 1980  0.708635555  2.353676405  2.923133131  2.522528827  1.564633440
## Nov 1980 -1.382456289  0.708635555  2.353676405  2.923133131  2.522528827
## Dec 1980 -3.145483829 -1.382456289  0.708635555  2.353676405  2.923133131
## Jan 1981 -3.212942082 -3.145483829 -1.382456289  0.708635555  2.353676405
## Feb 1981 -2.061872505 -3.212942082 -3.145483829 -1.382456289  0.708635555
## Mar 1981 -0.882243873 -2.061872505 -3.212942082 -3.145483829 -1.382456289
## Apr 1981  0.002084653 -0.882243873 -2.061872505 -3.212942082 -3.145483829
## May 1981  0.626133270  0.002084653 -0.882243873 -2.061872505 -3.212942082
## Jun 1981  1.535524853  0.626133270  0.002084653 -0.882243873 -2.061872505
## Jul 1981  2.535925477  1.535524853  0.626133270  0.002084653 -0.882243873
## Aug 1981  2.945468912  2.535925477  1.535524853  0.626133270  0.002084653
## Sep 1981  2.342908643  2.945468912  2.535925477  1.535524853  0.626133270
## Oct 1981  0.709330209  2.342908643  2.945468912  2.535925477  1.535524853
## Nov 1981 -1.392277265  0.709330209  2.342908643  2.945468912  2.535925477
## Dec 1981 -3.157231935 -1.392277265  0.709330209  2.342908643  2.945468912
## Jan 1982 -3.219158863 -3.157231935 -1.392277265  0.709330209  2.342908643
## Feb 1982 -2.062045199 -3.219158863 -3.157231935 -1.392277265  0.709330209
## Mar 1982 -0.866377609 -2.062045199 -3.219158863 -3.157231935 -1.392277265
## Apr 1982 -0.005505258 -0.866377609 -2.062045199 -3.219158863 -3.157231935
## May 1982  0.648469380 -0.005505258 -0.866377609 -2.062045199 -3.219158863
## Jun 1982  1.503939786  0.648469380 -0.005505258 -0.866377609 -2.062045199
## Jul 1982  2.552175686  1.503939786  0.648469380 -0.005505258 -0.866377609
## Aug 1982  2.970518057  2.552175686  1.503939786  0.648469380 -0.005505258
## Sep 1982  2.328255832  2.970518057  2.552175686  1.503939786  0.648469380
## Oct 1982  0.705395720  2.328255832  2.970518057  2.552175686  1.503939786
## Nov 1982 -1.391884570  0.705395720  2.328255832  2.970518057  2.552175686
## Dec 1982 -3.173646726 -1.391884570  0.705395720  2.328255832  2.970518057
## Jan 1983 -3.220444101 -3.173646726 -1.391884570  0.705395720  2.328255832
## Feb 1983 -2.068236523 -3.220444101 -3.173646726 -1.391884570  0.705395720
## Mar 1983 -0.849136846 -2.068236523 -3.220444101 -3.173646726 -1.391884570
## Apr 1983 -0.012522689 -0.849136846 -2.068236523 -3.220444101 -3.173646726
## May 1983  0.670578682 -0.012522689 -0.849136846 -2.068236523 -3.220444101
## Jun 1983  1.471290707  0.670578682 -0.012522689 -0.849136846 -2.068236523
## Jul 1983  2.576708387  1.471290707  0.670578682 -0.012522689 -0.849136846
## Aug 1983  2.980160813  2.576708387  1.471290707  0.670578682 -0.012522689
## Sep 1983  2.326061543  2.980160813  2.576708387  1.471290707  0.670578682
## Oct 1983  0.695297583  2.326061543  2.980160813  2.576708387  1.471290707
## Nov 1983 -1.391353311  0.695297583  2.326061543  2.980160813  2.576708387
## Dec 1983 -3.185635011 -1.391353311  0.695297583  2.326061543  2.980160813
## Jan 1984 -3.227994628 -3.185635011 -1.391353311  0.695297583  2.326061543
## Feb 1984 -2.068814676 -3.227994628 -3.185635011 -1.391353311  0.695297583
## Mar 1984 -0.838821783 -2.068814676 -3.227994628 -3.185635011 -1.391353311
## Apr 1984 -0.005656764 -0.838821783 -2.068814676 -3.227994628 -3.185635011
## May 1984  0.670005317 -0.005656764 -0.838821783 -2.068814676 -3.227994628
## Jun 1984  1.466899271  0.670005317 -0.005656764 -0.838821783 -2.068814676
## Jul 1984  2.585107289  1.466899271  0.670005317 -0.005656764 -0.838821783
## Aug 1984  2.990934982  2.585107289  1.466899271  0.670005317 -0.005656764
## Sep 1984  2.323579298  2.990934982  2.585107289  1.466899271  0.670005317
## Oct 1984  0.690131740  2.323579298  2.990934982  2.585107289  1.466899271
## Nov 1984 -1.403211502  0.690131740  2.323579298  2.990934982  2.585107289
## Dec 1984 -3.187681173 -1.403211502  0.690131740  2.323579298  2.990934982
## Jan 1985 -3.237358647 -3.187681173 -1.403211502  0.690131740  2.323579298
## Feb 1985 -2.067995018 -3.237358647 -3.187681173 -1.403211502  0.690131740
## Mar 1985 -0.828435617 -2.067995018 -3.237358647 -3.187681173 -1.403211502
## Apr 1985 -0.002056309 -0.828435617 -2.067995018 -3.237358647 -3.187681173
## May 1985  0.666274418 -0.002056309 -0.828435617 -2.067995018 -3.237358647
## Jun 1985  1.478119408  0.666274418 -0.002056309 -0.828435617 -2.067995018
## Jul 1985  2.578195744  1.478119408  0.666274418 -0.002056309 -0.828435617
## Aug 1985  3.004861484  2.578195744  1.478119408  0.666274418 -0.002056309
## Sep 1985  2.327027142  3.004861484  2.578195744  1.478119408  0.666274418
## Oct 1985  0.680892251  2.327027142  3.004861484  2.578195744  1.478119408
## Nov 1985 -1.425784229  0.680892251  2.327027142  3.004861484  2.578195744
## Dec 1985 -3.173917933 -1.425784229  0.680892251  2.327027142  3.004861484
## Jan 1986 -3.250570929 -3.173917933 -1.425784229  0.680892251  2.327027142
## Feb 1986 -2.061321698 -3.250570929 -3.173917933 -1.425784229  0.680892251
## Mar 1986 -0.838144265 -2.061321698 -3.250570929 -3.173917933 -1.425784229
## Apr 1986  0.016427571 -0.838144265 -2.061321698 -3.250570929 -3.173917933
## May 1986  0.673560181  0.016427571 -0.838144265 -2.061321698 -3.250570929
## Jun 1986  1.463714448  0.673560181  0.016427571 -0.838144265 -2.061321698
## Jul 1986  2.587531897  1.463714448  0.673560181  0.016427571 -0.838144265
## Aug 1986  3.014603476  2.587531897  1.463714448  0.673560181  0.016427571
## Sep 1986  2.325522339  3.014603476  2.587531897  1.463714448  0.673560181
## Oct 1986  0.686265829  2.325522339  3.014603476  2.587531897  1.463714448
## Nov 1986 -1.461319930  0.686265829  2.325522339  3.014603476  2.587531897
## Dec 1986 -3.159310119 -1.461319930  0.686265829  2.325522339  3.014603476
## Jan 1987 -3.258038368 -3.159310119 -1.461319930  0.686265829  2.325522339
## Feb 1987 -2.054610969 -3.258038368 -3.159310119 -1.461319930  0.686265829
## Mar 1987 -0.856407807 -2.054610969 -3.258038368 -3.159310119 -1.461319930
## Apr 1987  0.040994410 -0.856407807 -2.054610969 -3.258038368 -3.159310119
## May 1987  0.676422395  0.040994410 -0.856407807 -2.054610969 -3.258038368
## Jun 1987  1.460638196  0.676422395  0.040994410 -0.856407807 -2.054610969
## Jul 1987  2.589897016  1.460638196  0.676422395  0.040994410 -0.856407807
## Aug 1987  3.024137625  2.589897016  1.460638196  0.676422395  0.040994410
## Sep 1987  2.318277527  3.024137625  2.589897016  1.460638196  0.676422395
## Oct 1987  0.693217046  2.318277527  3.024137625  2.589897016  1.460638196
## Nov 1987 -1.471684515  0.693217046  2.318277527  3.024137625  2.589897016
## Dec 1987 -3.184119244 -1.471684515  0.693217046  2.318277527  3.024137625
## Jan 1988 -3.243167519 -3.184119244 -1.471684515  0.693217046  2.318277527
## Feb 1988 -2.053088549 -3.243167519 -3.184119244 -1.471684515  0.693217046
## Mar 1988 -0.865580625 -2.053088549 -3.243167519 -3.184119244 -1.471684515
## Apr 1988  0.045057508 -0.865580625 -2.053088549 -3.243167519 -3.184119244
## May 1988  0.692029485  0.045057508 -0.865580625 -2.053088549 -3.243167519
## Jun 1988  1.463384332  0.692029485  0.045057508 -0.865580625 -2.053088549
## Jul 1988  2.587673265  1.463384332  0.692029485  0.045057508 -0.865580625
## Aug 1988  3.029758103  2.587673265  1.463384332  0.692029485  0.045057508
## Sep 1988  2.314937475  3.029758103  2.587673265  1.463384332  0.692029485
## Oct 1988  0.697923116  2.314937475  3.029758103  2.587673265  1.463384332
## Nov 1988 -1.480974160  0.697923116  2.314937475  3.029758103  2.587673265
## Dec 1988 -3.210073688 -1.480974160  0.697923116  2.314937475  3.029758103
## Jan 1989 -3.226711699 -3.210073688 -1.480974160  0.697923116  2.314937475
## Feb 1989 -2.056692610 -3.226711699 -3.210073688 -1.480974160  0.697923116
## Mar 1989 -0.868550871 -2.056692610 -3.226711699 -3.210073688 -1.480974160
## Apr 1989  0.054661514 -0.868550871 -2.056692610 -3.226711699 -3.210073688
## May 1989  0.695681511  0.054661514 -0.868550871 -2.056692610 -3.226711699
## Jun 1989  1.467704160  0.695681511  0.054661514 -0.868550871 -2.056692610
## Jul 1989  2.589479019  1.467704160  0.695681511  0.054661514 -0.868550871
## Aug 1989  3.033898572  2.589479019  1.467704160  0.695681511  0.054661514
## Sep 1989  2.320026442  3.033898572  2.589479019  1.467704160  0.695681511
## Oct 1989  0.686144728  2.320026442  3.033898572  2.589479019  1.467704160
## Nov 1989 -1.480824087  0.686144728  2.320026442  3.033898572  2.589479019
## Dec 1989 -3.230280913 -1.480824087  0.686144728  2.320026442  3.033898572
## Jan 1990 -3.223161870 -3.230280913 -1.480824087  0.686144728  2.320026442
## Feb 1990 -2.056802482 -3.223161870 -3.230280913 -1.480824087  0.686144728
## Mar 1990 -0.857534166 -2.056802482 -3.223161870 -3.230280913 -1.480824087
## Apr 1990  0.044301181 -0.857534166 -2.056802482 -3.223161870 -3.230280913
## May 1990  0.703490611  0.044301181 -0.857534166 -2.056802482 -3.223161870
## Jun 1990  1.487884637  0.703490611  0.044301181 -0.857534166 -2.056802482
## Jul 1990  2.571412285  1.487884637  0.703490611  0.044301181 -0.857534166
## Aug 1990  3.049282546  2.571412285  1.487884637  0.703490611  0.044301181
## Sep 1990  2.325911770  3.049282546  2.571412285  1.487884637  0.703490611
## Oct 1990  0.667669722  2.325911770  3.049282546  2.571412285  1.487884637
## Nov 1990 -1.479508766  0.667669722  2.325911770  3.049282546  2.571412285
## Dec 1990 -3.245029043 -1.479508766  0.667669722  2.325911770  3.049282546
## Jan 1991 -3.224909038 -3.245029043 -1.479508766  0.667669722  2.325911770
## Feb 1991 -2.054176356 -3.224909038 -3.245029043 -1.479508766  0.667669722
## Mar 1991 -0.850807275 -2.054176356 -3.224909038 -3.245029043 -1.479508766
## Apr 1991  0.048878384 -0.850807275 -2.054176356 -3.224909038 -3.245029043
## May 1991  0.695364574  0.048878384 -0.850807275 -2.054176356 -3.224909038
## Jun 1991  1.500829557  0.695364574  0.048878384 -0.850807275 -2.054176356
## Jul 1991  2.578402674  1.500829557  0.695364574  0.048878384 -0.850807275
## Aug 1991  3.042273078  2.578402674  1.500829557  0.695364574  0.048878384
## Sep 1991  2.342234369  3.042273078  2.578402674  1.500829557  0.695364574
## Oct 1991  0.651663794  2.342234369  3.042273078  2.578402674  1.500829557
## Nov 1991 -1.485019709  0.651663794  2.342234369  3.042273078  2.578402674
## Dec 1991 -3.254425507 -1.485019709  0.651663794  2.342234369  3.042273078
## Jan 1992 -3.226069769 -3.254425507 -1.485019709  0.651663794  2.342234369
## Feb 1992 -2.054472565 -3.226069769 -3.254425507 -1.485019709  0.651663794
## Mar 1992 -0.855560161 -2.054472565 -3.226069769 -3.254425507 -1.485019709
## Apr 1992  0.066318988 -0.855560161 -2.054472565 -3.226069769 -3.254425507
## May 1992  0.696022834  0.066318988 -0.855560161 -2.054472565 -3.226069769
## Jun 1992  1.506464132  0.696022834  0.066318988 -0.855560161 -2.054472565
## Jul 1992  2.581057370  1.506464132  0.696022834  0.066318988 -0.855560161
## Aug 1992  3.031633488  2.581057370  1.506464132  0.696022834  0.066318988
## Sep 1992  2.361392947  3.031633488  2.581057370  1.506464132  0.696022834
## Oct 1992  0.635018237  2.361392947  3.031633488  2.581057370  1.506464132
## Nov 1992 -1.484375049  0.635018237  2.361392947  3.031633488  2.581057370
## Dec 1992 -3.268449604 -1.484375049  0.635018237  2.361392947  3.031633488
## Jan 1993 -3.222372089 -3.268449604 -1.484375049  0.635018237  2.361392947
## Feb 1993 -2.059780288 -3.222372089 -3.268449604 -1.484375049  0.635018237
## Mar 1993 -0.857894566 -2.059780288 -3.222372089 -3.268449604 -1.484375049
## Apr 1993  0.085396553 -0.857894566 -2.059780288 -3.222372089 -3.268449604
## May 1993  0.689807632  0.085396553 -0.857894566 -2.059780288 -3.222372089
## Jun 1993  1.518601081  0.689807632  0.085396553 -0.857894566 -2.059780288
## Jul 1993  2.579773613  1.518601081  0.689807632  0.085396553 -0.857894566
## Aug 1993  3.033103393  2.579773613  1.518601081  0.689807632  0.085396553
## Sep 1993  2.357499057  3.033103393  2.579773613  1.518601081  0.689807632
## Oct 1993  0.633414482  2.357499057  3.033103393  2.579773613  1.518601081
## Nov 1993 -1.490609005  0.633414482  2.357499057  3.033103393  2.579773613
## Dec 1993 -3.269298028 -1.490609005  0.633414482  2.357499057  3.033103393
## Jan 1994 -3.233023799 -3.269298028 -1.490609005  0.633414482  2.357499057
## Feb 1994 -2.060495178 -3.233023799 -3.269298028 -1.490609005  0.633414482
## Mar 1994 -0.849411461 -2.060495178 -3.233023799 -3.269298028 -1.490609005
## Apr 1994  0.084618841 -0.849411461 -2.060495178 -3.233023799 -3.269298028
## May 1994  0.701510586  0.084618841 -0.849411461 -2.060495178 -3.233023799
## Jun 1994  1.513628491  0.701510586  0.084618841 -0.849411461 -2.060495178
## Jul 1994  2.597769996  1.513628491  0.701510586  0.084618841 -0.849411461
## Aug 1994  3.024258888  2.597769996  1.513628491  0.701510586  0.084618841
## Sep 1994  2.341319363  3.024258888  2.597769996  1.513628491  0.701510586
## Oct 1994  0.653769449  2.341319363  3.024258888  2.597769996  1.513628491
## Nov 1994 -1.505934701  0.653769449  2.341319363  3.024258888  2.597769996
## Dec 1994 -3.272650018 -1.505934701  0.653769449  2.341319363  3.024258888
## Jan 1995 -3.242605899 -3.272650018 -1.505934701  0.653769449  2.341319363
## Feb 1995 -2.058509130 -3.242605899 -3.272650018 -1.505934701  0.653769449
## Mar 1995 -0.838259409 -2.058509130 -3.242605899 -3.272650018 -1.505934701
## Apr 1995  0.075780074 -0.838259409 -2.058509130 -3.242605899 -3.272650018
## May 1995  0.719462478  0.075780074 -0.838259409 -2.058509130 -3.242605899
## Jun 1995  1.507425095  0.719462478  0.075780074 -0.838259409 -2.058509130
## Jul 1995  2.613048659  1.507425095  0.719462478  0.075780074 -0.838259409
## Aug 1995  3.011373535  2.613048659  1.507425095  0.719462478  0.075780074
## Sep 1995  2.334484743  3.011373535  2.613048659  1.507425095  0.719462478
## Oct 1995  0.672408463  2.334484743  3.011373535  2.613048659  1.507425095
## Nov 1995 -1.527179374  0.672408463  2.334484743  3.011373535  2.613048659
## Dec 1995 -3.269180812 -1.527179374  0.672408463  2.334484743  3.011373535
## Jan 1996 -3.254361564 -3.269180812 -1.527179374  0.672408463  2.334484743
## Feb 1996 -2.056347952 -3.254361564 -3.269180812 -1.527179374  0.672408463
## Mar 1996 -0.832312774 -2.056347952 -3.254361564 -3.269180812 -1.527179374
## Apr 1996  0.074260646 -0.832312774 -2.056347952 -3.254361564 -3.269180812
## May 1996  0.733404622  0.074260646 -0.832312774 -2.056347952 -3.254361564
## Jun 1996  1.506464017  0.733404622  0.074260646 -0.832312774 -2.056347952
## Jul 1996  2.619798383  1.506464017  0.733404622  0.074260646 -0.832312774
## Aug 1996  3.004500353  2.619798383  1.506464017  0.733404622  0.074260646
## Sep 1996  2.326708575  3.004500353  2.619798383  1.506464017  0.733404622
## Oct 1996  0.680142257  2.326708575  3.004500353  2.619798383  1.506464017
## Nov 1996 -1.523093277  0.680142257  2.326708575  3.004500353  2.619798383
## Dec 1996 -3.290725201 -1.523093277  0.680142257  2.326708575  3.004500353
## Jan 1997 -3.252673816 -3.290725201 -1.523093277  0.680142257  2.326708575
## Feb 1997 -2.063729257 -3.252673816 -3.290725201 -1.523093277  0.680142257
## Mar 1997 -0.815180667 -2.063729257 -3.252673816 -3.290725201 -1.523093277
## Apr 1997  0.073937581 -0.815180667 -2.063729257 -3.252673816 -3.290725201
## May 1997  0.743048361  0.073937581 -0.815180667 -2.063729257 -3.252673816
## Jun 1997  1.485755055  0.743048361  0.073937581 -0.815180667 -2.063729257
## Jul 1997  2.647336241  1.485755055  0.743048361  0.073937581 -0.815180667
## Aug 1997  3.001768947  2.647336241  1.485755055  0.743048361  0.073937581
## Sep 1997  2.313492910  3.001768947  2.647336241  1.485755055  0.743048361
## Oct 1997  0.684902939  2.313492910  3.001768947  2.647336241  1.485755055
## Nov 1997 -1.521250546  0.684902939  2.313492910  3.001768947  2.647336241
## Dec 1997 -3.310031342 -1.521250546  0.684902939  2.313492910  3.001768947
## Jan 1998 -3.248133792 -3.310031342 -1.521250546  0.684902939  2.313492910
## Feb 1998 -2.072114008 -3.248133792 -3.310031342 -1.521250546  0.684902939
## Mar 1998 -0.802106530 -2.072114008 -3.248133792 -3.310031342 -1.521250546
## Apr 1998  0.082966481 -0.802106530 -2.072114008 -3.248133792 -3.310031342
## May 1998  0.735260125  0.082966481 -0.802106530 -2.072114008 -3.248133792
## Jun 1998  1.491084823  0.735260125  0.082966481 -0.802106530 -2.072114008
## Jul 1998  2.656357868  1.491084823  0.735260125  0.082966481 -0.802106530
## Aug 1998  2.993005869  2.656357868  1.491084823  0.735260125  0.082966481
## Sep 1998  2.317638090  2.993005869  2.656357868  1.491084823  0.735260125
## Oct 1998  0.682895128  2.317638090  2.993005869  2.656357868  1.491084823
## Nov 1998 -1.529080587  0.682895128  2.317638090  2.993005869  2.656357868
## Dec 1998 -3.315538115 -1.529080587  0.682895128  2.317638090  2.993005869
## Jan 1999 -3.245634443 -3.315538115 -1.529080587  0.682895128  2.317638090
## Feb 1999 -2.076945446 -3.245634443 -3.315538115 -1.529080587  0.682895128
## Mar 1999 -0.802178698 -2.076945446 -3.245634443 -3.315538115 -1.529080587
## Apr 1999  0.094157286 -0.802178698 -2.076945446 -3.245634443 -3.315538115
## May 1999  0.737684575  0.094157286 -0.802178698 -2.076945446 -3.245634443
## Jun 1999  1.488724275  0.737684575  0.094157286 -0.802178698 -2.076945446
## Jul 1999  2.669989185  1.488724275  0.737684575  0.094157286 -0.802178698
## Aug 1999  2.979024911  2.669989185  1.488724275  0.737684575  0.094157286
## Sep 1999  2.328770568  2.979024911  2.669989185  1.488724275  0.737684575
## Oct 1999  0.679082915  2.328770568  2.979024911  2.669989185  1.488724275
## Nov 1999 -1.547708365  0.679082915  2.328770568  2.979024911  2.669989185
## Dec 1999 -3.307816836 -1.547708365  0.679082915  2.328770568  2.979024911
## Jan 2000 -3.253393550 -3.307816836 -1.547708365  0.679082915  2.328770568
## Feb 2000 -2.071693908 -3.253393550 -3.307816836 -1.547708365  0.679082915
## Mar 2000 -0.807873940 -2.071693908 -3.253393550 -3.307816836 -1.547708365
## Apr 2000  0.110903208 -0.807873940 -2.071693908 -3.253393550 -3.307816836
## May 2000  0.729319716  0.110903208 -0.807873940 -2.071693908 -3.253393550
## Jun 2000  1.496903476  0.729319716  0.110903208 -0.807873940 -2.071693908
## Jul 2000  2.670937375  1.496903476  0.729319716  0.110903208 -0.807873940
## Aug 2000  2.970836279  2.670937375  1.496903476  0.729319716  0.110903208
## Sep 2000  2.360153167  2.970836279  2.670937375  1.496903476  0.729319716
## Oct 2000  0.647744345  2.360153167  2.970836279  2.670937375  1.496903476
## Nov 2000 -1.566306066  0.647744345  2.360153167  2.970836279  2.670937375
## Dec 2000 -3.280006950 -1.566306066  0.647744345  2.360153167  2.970836279
## Jan 2001 -3.271723125 -3.280006950 -1.566306066  0.647744345  2.360153167
## Feb 2001 -2.067110711 -3.271723125 -3.280006950 -1.566306066  0.647744345
## Mar 2001 -0.807364832 -2.067110711 -3.271723125 -3.280006950 -1.566306066
## Apr 2001  0.111954379 -0.807364832 -2.067110711 -3.271723125 -3.280006950
## May 2001  0.738073509  0.111954379 -0.807364832 -2.067110711 -3.271723125
## Jun 2001  1.499879457  0.738073509  0.111954379 -0.807364832 -2.067110711
## Jul 2001  2.655105762  1.499879457  0.738073509  0.111954379 -0.807364832
## Aug 2001  2.993869718  2.655105762  1.499879457  0.738073509  0.111954379
## Sep 2001  2.365360580  2.993869718  2.655105762  1.499879457  0.738073509
## Oct 2001  0.631023958  2.365360580  2.993869718  2.655105762  1.499879457
## Nov 2001 -1.581819792  0.631023958  2.365360580  2.993869718  2.655105762
## Dec 2001 -3.265036548 -1.581819792  0.631023958  2.365360580  2.993869718
## Jan 2002 -3.284244491 -3.265036548 -1.581819792  0.631023958  2.365360580
## Feb 2002 -2.064510872 -3.284244491 -3.265036548 -1.581819792  0.631023958
## Mar 2002 -0.808020650 -2.064510872 -3.284244491 -3.265036548 -1.581819792
## Apr 2002  0.120244533 -0.808020650 -2.064510872 -3.284244491 -3.265036548
## May 2002  0.744682949  0.120244533 -0.808020650 -2.064510872 -3.284244491
## Jun 2002  1.493325883  0.744682949  0.120244533 -0.808020650 -2.064510872
## Jul 2002  2.649515764  1.493325883  0.744682949  0.120244533 -0.808020650
## Aug 2002  3.012154768  2.649515764  1.493325883  0.744682949  0.120244533
## Sep 2002  2.369561918  3.012154768  2.649515764  1.493325883  0.744682949
## Oct 2002  0.620289739  2.369561918  3.012154768  2.649515764  1.493325883
## Nov 2002 -1.600449169  0.620289739  2.369561918  3.012154768  2.649515764
## Dec 2002 -3.248549794 -1.600449169  0.620289739  2.369561918  3.012154768
## Jan 2003 -3.301184228 -3.248549794 -1.600449169  0.620289739  2.369561918
## Feb 2003 -2.059027282 -3.301184228 -3.248549794 -1.600449169  0.620289739
## Mar 2003 -0.804902390 -2.059027282 -3.301184228 -3.248549794 -1.600449169
## Apr 2003  0.121609028 -0.804902390 -2.059027282 -3.301184228 -3.248549794
## May 2003  0.756845743  0.121609028 -0.804902390 -2.059027282 -3.301184228
## Jun 2003  1.474302090  0.756845743  0.121609028 -0.804902390 -2.059027282
## Jul 2003  2.658731235  1.474302090  0.756845743  0.121609028 -0.804902390
## Aug 2003  3.029029903  2.658731235  1.474302090  0.756845743  0.121609028
## Sep 2003  2.369403047  3.029029903  2.658731235  1.474302090  0.756845743
## Oct 2003  0.606184981  2.369403047  3.029029903  2.658731235  1.474302090
## Nov 2003 -1.606684367  0.606184981  2.369403047  3.029029903  2.658731235
## Dec 2003 -3.250201272 -1.606684367  0.606184981  2.369403047  3.029029903
## Jan 2004 -3.302457688 -3.250201272 -1.606684367  0.606184981  2.369403047
## Feb 2004 -2.058184274 -3.302457688 -3.250201272 -1.606684367  0.606184981
## Mar 2004 -0.803829535 -2.058184274 -3.302457688 -3.250201272 -1.606684367
## Apr 2004  0.122805759 -0.803829535 -2.058184274 -3.302457688 -3.250201272
## May 2004  0.768753654  0.122805759 -0.803829535 -2.058184274 -3.302457688
## Jun 2004  1.453443341  0.768753654  0.122805759 -0.803829535 -2.058184274
## Jul 2004  2.676718713  1.453443341  0.768753654  0.122805759 -0.803829535
## Aug 2004  3.042009417  2.676718713  1.453443341  0.768753654  0.122805759
## Sep 2004  2.367378229  3.042009417  2.676718713  1.453443341  0.768753654
## Oct 2004  0.585422700  2.367378229  3.042009417  2.676718713  1.453443341
## Nov 2004 -1.599409264  0.585422700  2.367378229  3.042009417  2.676718713
## Dec 2004 -3.262775300 -1.599409264  0.585422700  2.367378229  3.042009417
## Jan 2005 -3.296084480 -3.262775300 -1.599409264  0.585422700  2.367378229
## Feb 2005 -2.062652823 -3.296084480 -3.262775300 -1.599409264  0.585422700
## Mar 2005 -0.802908605 -2.062652823 -3.296084480 -3.262775300 -1.599409264
## Apr 2005  0.127152536 -0.802908605 -2.062652823 -3.296084480 -3.262775300
## May 2005  0.782710512  0.127152536 -0.802908605 -2.062652823 -3.296084480
## Jun 2005  1.432912291  0.782710512  0.127152536 -0.802908605 -2.062652823
## Jul 2005  2.688812704  1.432912291  0.782710512  0.127152536 -0.802908605
## Aug 2005  3.053718404  2.688812704  1.432912291  0.782710512  0.127152536
## Sep 2005  2.357986270  3.053718404  2.688812704  1.432912291  0.782710512
## Oct 2005  0.591586380  2.357986270  3.053718404  2.688812704  1.432912291
## Nov 2005 -1.615220907  0.591586380  2.357986270  3.053718404  2.688812704
## Dec 2005 -3.267694761 -1.615220907  0.591586380  2.357986270  3.053718404
## Jan 2006 -3.284302603 -3.267694761 -1.615220907  0.591586380  2.357986270
## Feb 2006 -2.076463471 -3.284302603 -3.267694761 -1.615220907  0.591586380
## Mar 2006 -0.804660942 -2.076463471 -3.284302603 -3.267694761 -1.615220907
## Apr 2006  0.145570550 -0.804660942 -2.076463471 -3.284302603 -3.267694761
## May 2006  0.790236969  0.145570550 -0.804660942 -2.076463471 -3.284302603
## Jun 2006  1.412304373  0.790236969  0.145570550 -0.804660942 -2.076463471
## Jul 2006  2.689267243  1.412304373  0.790236969  0.145570550 -0.804660942
## Aug 2006  3.082292371  2.689267243  1.412304373  0.790236969  0.145570550
## Sep 2006  2.343964060  3.082292371  2.689267243  1.412304373  0.790236969
## Oct 2006  0.598343168  2.343964060  3.082292371  2.689267243  1.412304373
## Nov 2006 -1.645649701  0.598343168  2.343964060  3.082292371  2.689267243
## Dec 2006 -3.255235893 -1.645649701  0.598343168  2.343964060  3.082292371
## Jan 2007 -3.280496704 -3.255235893 -1.645649701  0.598343168  2.343964060
## Feb 2007 -2.082141892 -3.280496704 -3.255235893 -1.645649701  0.598343168
## Mar 2007 -0.810715980 -2.082141892 -3.280496704 -3.255235893 -1.645649701
## Apr 2007  0.162537753 -0.810715980 -2.082141892 -3.280496704 -3.255235893
## May 2007  0.788854891  0.162537753 -0.810715980 -2.082141892 -3.280496704
## Jun 2007  1.413574565  0.788854891  0.162537753 -0.810715980 -2.082141892
## Jul 2007  2.674511479  1.413574565  0.788854891  0.162537753 -0.810715980
## Aug 2007  3.105923249  2.674511479  1.413574565  0.788854891  0.162537753
## Sep 2007  2.339731524  3.105923249  2.674511479  1.413574565  0.788854891
## Oct 2007  0.604759834  2.339731524  3.105923249  2.674511479  1.413574565
## Nov 2007 -1.680493207  0.604759834  2.339731524  3.105923249  2.674511479
## Dec 2007 -3.235226651 -1.680493207  0.604759834  2.339731524  3.105923249
## Jan 2008 -3.290348318 -3.235226651 -1.680493207  0.604759834  2.339731524
## Feb 2008 -2.073222354 -3.290348318 -3.235226651 -1.680493207  0.604759834
## Mar 2008 -0.826175905 -2.073222354 -3.290348318 -3.235226651 -1.680493207
## Apr 2008  0.187083309 -0.826175905 -2.073222354 -3.290348318 -3.235226651
## May 2008  0.777985144  0.187083309 -0.826175905 -2.073222354 -3.290348318
## Jun 2008  1.432491614  0.777985144  0.187083309 -0.826175905 -2.073222354
## Jul 2008  2.633528925  1.432491614  0.777985144  0.187083309 -0.826175905
## Aug 2008  3.149210688  2.633528925  1.432491614  0.777985144  0.187083309
## Sep 2008  2.330465079  3.149210688  2.633528925  1.432491614  0.777985144
## Oct 2008  0.601378173  2.330465079  3.149210688  2.633528925  1.432491614
## Nov 2008 -1.697924990  0.601378173  2.330465079  3.149210688  2.633528925
## Dec 2008 -3.223883736 -1.697924990  0.601378173  2.330465079  3.149210688
## Jan 2009 -3.302621319 -3.223883736 -1.697924990  0.601378173  2.330465079
## Feb 2009 -2.061293621 -3.302621319 -3.223883736 -1.697924990  0.601378173
## Mar 2009 -0.830628466 -2.061293621 -3.302621319 -3.223883736 -1.697924990
## Apr 2009  0.192601919 -0.830628466 -2.061293621 -3.302621319 -3.223883736
## May 2009  0.766138428  0.192601919 -0.830628466 -2.061293621 -3.302621319
## Jun 2009  1.453998905  0.766138428  0.192601919 -0.830628466 -2.061293621
## Jul 2009  2.616726478  1.453998905  0.766138428  0.192601919 -0.830628466
## Aug 2009  3.167201696  2.616726478  1.453998905  0.766138428  0.192601919
## Sep 2009  2.331674472  3.167201696  2.616726478  1.453998905  0.766138428
## Oct 2009  0.588481934  2.331674472  3.167201696  2.616726478  1.453998905
## Nov 2009 -1.698146797  0.588481934  2.331674472  3.167201696  2.616726478
## Dec 2009 -3.229994582 -1.698146797  0.588481934  2.331674472  3.167201696
## Jan 2010 -3.311831385 -3.229994582 -1.698146797  0.588481934  2.331674472
## Feb 2010 -2.045598009 -3.311831385 -3.229994582 -1.698146797  0.588481934
## Mar 2010 -0.830558243 -2.045598009 -3.311831385 -3.229994582 -1.698146797
## Apr 2010  0.186703507 -0.830558243 -2.045598009 -3.311831385 -3.229994582
## May 2010  0.774713714  0.186703507 -0.830558243 -2.045598009 -3.311831385
## Jun 2010  1.448249811  0.774713714  0.186703507 -0.830558243 -2.045598009
## Jul 2010  2.613576374  1.448249811  0.774713714  0.186703507 -0.830558243
## Aug 2010  3.185720422  2.613576374  1.448249811  0.774713714  0.186703507
## Sep 2010  2.333839226  3.185720422  2.613576374  1.448249811  0.774713714
## Oct 2010  0.576911374  2.333839226  3.185720422  2.613576374  1.448249811
## Nov 2010 -1.700231681  0.576911374  2.333839226  3.185720422  2.613576374
## Dec 2010 -3.246475223 -1.700231681  0.576911374  2.333839226  3.185720422
## Jan 2011 -3.307613661 -3.246475223 -1.700231681  0.576911374  2.333839226
## Feb 2011 -2.036270409 -3.307613661 -3.246475223 -1.700231681  0.576911374
## Mar 2011 -0.831588683 -2.036270409 -3.307613661 -3.246475223 -1.700231681
## Apr 2011  0.196620521 -0.831588683 -2.036270409 -3.307613661 -3.246475223
## May 2011  0.768815357  0.196620521 -0.831588683 -2.036270409 -3.307613661
## Jun 2011  1.443113656  0.768815357  0.196620521 -0.831588683 -2.036270409
## Jul 2011  2.608884357  1.443113656  0.768815357  0.196620521 -0.831588683
## Aug 2011  3.207207745  2.608884357  1.443113656  0.768815357  0.196620521
## Sep 2011  2.328591087  3.207207745  2.608884357  1.443113656  0.768815357
## Oct 2011  0.579970293  2.328591087  3.207207745  2.608884357  1.443113656
## Nov 2011 -1.714425044  0.579970293  2.328591087  3.207207745  2.608884357
## Dec 2011 -3.251868153 -1.714425044  0.579970293  2.328591087  3.207207745
## Jan 2012 -3.310289120 -3.251868153 -1.714425044  0.579970293  2.328591087
## Feb 2012 -2.033021872 -3.310289120 -3.251868153 -1.714425044  0.579970293
## Mar 2012 -0.817116464 -2.033021872 -3.310289120 -3.251868153 -1.714425044
## Apr 2012  0.194375255 -0.817116464 -2.033021872 -3.310289120 -3.251868153
## May 2012  0.768719776  0.194375255 -0.817116464 -2.033021872 -3.310289120
## Jun 2012  1.421380843  0.768719776  0.194375255 -0.817116464 -2.033021872
## Jul 2012  2.624368537  1.421380843  0.768719776  0.194375255 -0.817116464
## Aug 2012  3.225641073  2.624368537  1.421380843  0.768719776  0.194375255
## Sep 2012  2.326382376  3.225641073  2.624368537  1.421380843  0.768719776
## Oct 2012  0.567853825  2.326382376  3.225641073  2.624368537  1.421380843
## Nov 2012 -1.711543609  0.567853825  2.326382376  3.225641073  2.624368537
## Dec 2012 -3.270206739 -1.711543609  0.567853825  2.326382376  3.225641073
## Jan 2013 -3.311596574 -3.270206739 -1.711543609  0.567853825  2.326382376
## Feb 2013 -2.021742611 -3.311596574 -3.270206739 -1.711543609  0.567853825
## Mar 2013 -0.806250900 -2.021742611 -3.311596574 -3.270206739 -1.711543609
## Apr 2013  0.191295012 -0.806250900 -2.021742611 -3.311596574 -3.270206739
## May 2013  0.761392578  0.191295012 -0.806250900 -2.021742611 -3.311596574
## Jun 2013  1.417919680  0.761392578  0.191295012 -0.806250900 -2.021742611
## Jul 2013  2.623810073  1.417919680  0.761392578  0.191295012 -0.806250900
## Aug 2013  3.242487389  2.623810073  1.417919680  0.761392578  0.191295012
## Sep 2013  2.336041114  3.242487389  2.623810073  1.417919680  0.761392578
## Oct 2013  0.551482987  2.336041114  3.242487389  2.623810073  1.417919680
## Nov 2013 -1.708576997  0.551482987  2.336041114  3.242487389  2.623810073
## Dec 2013 -3.297118309 -1.708576997  0.551482987  2.336041114  3.242487389
## Jan 2014 -3.296354444 -3.297118309 -1.708576997  0.551482987  2.336041114
## Feb 2014 -2.023671971 -3.296354444 -3.297118309 -1.708576997  0.551482987
## Mar 2014 -0.793902360 -2.023671971 -3.296354444 -3.297118309 -1.708576997
## Apr 2014  0.201404976 -0.793902360 -2.023671971 -3.296354444 -3.297118309
## May 2014  0.737982693  0.201404976 -0.793902360 -2.023671971 -3.296354444
## Jun 2014  1.409846978  0.737982693  0.201404976 -0.793902360 -2.023671971
## Jul 2014  2.649090049  1.409846978  0.737982693  0.201404976 -0.793902360
## Aug 2014  3.230286948  2.649090049  1.409846978  0.737982693  0.201404976
## Sep 2014  2.367460952  3.230286948  2.649090049  1.409846978  0.737982693
## Oct 2014  0.526281734  2.367460952  3.230286948  2.649090049  1.409846978
## Nov 2014 -1.710373770  0.526281734  2.367460952  3.230286948  2.649090049
## Dec 2014 -3.317779397 -1.710373770  0.526281734  2.367460952  3.230286948
## Jan 2015 -3.282694780 -3.317779397 -1.710373770  0.526281734  2.367460952
## Feb 2015 -2.018742074 -3.282694780 -3.317779397 -1.710373770  0.526281734
## Mar 2015 -0.791252984 -2.018742074 -3.282694780 -3.317779397 -1.710373770
## Apr 2015  0.201295623 -0.791252984 -2.018742074 -3.282694780 -3.317779397
## May 2015  0.745370955  0.201295623 -0.791252984 -2.018742074 -3.282694780
## Jun 2015  1.385994853  0.745370955  0.201295623 -0.791252984 -2.018742074
## Jul 2015  2.664853690  1.385994853  0.745370955  0.201295623 -0.791252984
## Aug 2015  3.233250009  2.664853690  1.385994853  0.745370955  0.201295623
## Sep 2015  2.382327060  3.233250009  2.664853690  1.385994853  0.745370955
## Oct 2015  0.513312980  2.382327060  3.233250009  2.664853690  1.385994853
## Nov 2015 -1.719995143  0.513312980  2.382327060  3.233250009  2.664853690
## Dec 2015 -3.323461247 -1.719995143  0.513312980  2.382327060  3.233250009
## Jan 2016 -3.286100875 -3.323461247 -1.719995143  0.513312980  2.382327060
## Feb 2016 -2.000183672 -3.286100875 -3.323461247 -1.719995143  0.513312980
## Mar 2016 -0.796627762 -2.000183672 -3.286100875 -3.323461247 -1.719995143
## Apr 2016  0.193551178 -0.796627762 -2.000183672 -3.286100875 -3.323461247
## May 2016  0.770154504  0.193551178 -0.796627762 -2.000183672 -3.286100875
## Jun 2016  1.355751143  0.770154504  0.193551178 -0.796627762 -2.000183672
## Jul 2016  2.681124110  1.355751143  0.770154504  0.193551178 -0.796627762
## Aug 2016  3.222871974  2.681124110  1.355751143  0.770154504  0.193551178
## Sep 2016  2.415457454  3.222871974  2.681124110  1.355751143  0.770154504
## Oct 2016  0.485340058  2.415457454  3.222871974  2.681124110  1.355751143
## Nov 2016 -1.721354040  0.485340058  2.415457454  3.222871974  2.681124110
## Dec 2016 -3.324207066 -1.721354040  0.485340058  2.415457454  3.222871974
## Jan 2017 -3.294153235 -3.324207066 -1.721354040  0.485340058  2.415457454
## Feb 2017 -1.976583162 -3.294153235 -3.324207066 -1.721354040  0.485340058
## Mar 2017 -0.826010546 -1.976583162 -3.294153235 -3.324207066 -1.721354040
## Apr 2017  0.217946777 -0.826010546 -1.976583162 -3.294153235 -3.324207066
## May 2017  0.772490044  0.217946777 -0.826010546 -1.976583162 -3.294153235
## Jun 2017  1.355044757  0.772490044  0.217946777 -0.826010546 -1.976583162
## Jul 2017  2.664612923  1.355044757  0.772490044  0.217946777 -0.826010546
## Aug 2017  3.223190439  2.664612923  1.355044757  0.772490044  0.217946777
## Sep 2017  2.439314446  3.223190439  2.664612923  1.355044757  0.772490044
## Oct 2017  0.467910302  2.439314446  3.223190439  2.664612923  1.355044757
## Nov 2017 -1.719887817  0.467910302  2.439314446  3.223190439  2.664612923
## Dec 2017 -3.324198006 -1.719887817  0.467910302  2.439314446  3.223190439
## Jan 2018 -3.298659907 -3.324198006 -1.719887817  0.467910302  2.439314446
## Feb 2018 -1.973739442 -3.298659907 -3.324198006 -1.719887817  0.467910302
## Mar 2018 -0.829189831 -1.973739442 -3.298659907 -3.324198006 -1.719887817
## Apr 2018  0.217794865 -0.829189831 -1.973739442 -3.298659907 -3.324198006
## May 2018  0.789571735  0.217794865 -0.829189831 -1.973739442 -3.298659907
## Jun 2018  1.355493567  0.789571735  0.217794865 -0.829189831 -1.973739442
## Jul 2018  2.642629524  1.355493567  0.789571735  0.217794865 -0.829189831
## Aug 2018  3.220895720  2.642629524  1.355493567  0.789571735  0.217794865
## Sep 2018  2.469685940  3.220895720  2.642629524  1.355493567  0.789571735
## Oct 2018  0.449791446  2.469685940  3.220895720  2.642629524  1.355493567
## Nov 2018 -1.726813391  0.449791446  2.469685940  3.220895720  2.642629524
## Dec 2018 -3.315461725 -1.726813391  0.449791446  2.469685940  3.220895720
## Jan 2019 -3.307224498 -3.315461725 -1.726813391  0.449791446  2.469685940
## Feb 2019 -1.961014443 -3.307224498 -3.315461725 -1.726813391  0.449791446
## Mar 2019 -0.842069877 -1.961014443 -3.307224498 -3.315461725 -1.726813391
## Apr 2019  0.210961218 -0.842069877 -1.961014443 -3.307224498 -3.315461725
## May 2019  0.826368962  0.210961218 -0.842069877 -1.961014443 -3.307224498
## Jun 2019  1.330421446  0.826368962  0.210961218 -0.842069877 -1.961014443
## Jul 2019  2.641869166  1.330421446  0.826368962  0.210961218 -0.842069877
## Aug 2019  3.214284889  2.641869166  1.330421446  0.826368962  0.210961218
## Sep 2019  2.489909432  3.214284889  2.641869166  1.330421446  0.826368962
## Oct 2019  0.444289249  2.489909432  3.214284889  2.641869166  1.330421446
## Nov 2019 -1.743767035  0.444289249  2.489909432  3.214284889  2.641869166
## Dec 2019 -3.299674431 -1.743767035  0.444289249  2.489909432  3.214284889
## Jan 2020 -3.310452594 -3.299674431 -1.743767035  0.444289249  2.489909432
## Feb 2020 -1.967270614 -3.310452594 -3.299674431 -1.743767035  0.444289249
## Mar 2020 -0.833556716 -1.967270614 -3.310452594 -3.299674431 -1.743767035
## Apr 2020  0.196147490 -0.833556716 -1.967270614 -3.310452594 -3.299674431
## May 2020  0.850386332  0.196147490 -0.833556716 -1.967270614 -3.310452594
## Jun 2020  1.312824296  0.850386332  0.196147490 -0.833556716 -1.967270614
## Jul 2020  2.657896808  1.312824296  0.850386332  0.196147490 -0.833556716
## Aug 2020  3.189618491  2.657896808  1.312824296  0.850386332  0.196147490
## Sep 2020  2.507392142  3.189618491  2.657896808  1.312824296  0.850386332
## Oct 2020  0.452404403  2.507392142  3.189618491  2.657896808  1.312824296
## Nov 2020 -1.767922110  0.452404403  2.507392142  3.189618491  2.657896808
## Dec 2020 -3.288531386 -1.767922110  0.452404403  2.507392142  3.189618491
## Jan 2021 -3.305156431 -3.288531386 -1.767922110  0.452404403  2.507392142
## Feb 2021 -1.976265989 -3.305156431 -3.288531386 -1.767922110  0.452404403
## Mar 2021 -0.818261179 -1.976265989 -3.305156431 -3.288531386 -1.767922110
## Apr 2021  0.170326342 -0.818261179 -1.976265989 -3.305156431 -3.288531386
## May 2021  0.872177497  0.170326342 -0.818261179 -1.976265989 -3.305156431
## Jun 2021  1.305447418  0.872177497  0.170326342 -0.818261179 -1.976265989
## Jul 2021  2.673233992  1.305447418  0.872177497  0.170326342 -0.818261179
## Aug 2021  3.157037385  2.673233992  1.305447418  0.872177497  0.170326342
## Sep 2021  2.526498886  3.157037385  2.673233992  1.305447418  0.872177497
## Oct 2021  0.468066889  2.526498886  3.157037385  2.673233992  1.305447418
## Nov 2021 -1.795096848  0.468066889  2.526498886  3.157037385  2.673233992
## Dec 2021 -3.283503014 -1.795096848  0.468066889  2.526498886  3.157037385
## Jan 2022 -3.291967086 -3.283503014 -1.795096848  0.468066889  2.526498886
## Feb 2022 -1.994331015 -3.291967086 -3.283503014 -1.795096848  0.468066889
## Mar 2022 -0.797000886 -1.994331015 -3.291967086 -3.283503014 -1.795096848
## Apr 2022  0.149367159 -0.797000886 -1.994331015 -3.291967086 -3.283503014
## May 2022  0.893636574  0.149367159 -0.797000886 -1.994331015 -3.291967086
## Jun 2022  1.291181931  0.893636574  0.149367159 -0.797000886 -1.994331015
## Jul 2022  2.678599946  1.291181931  0.893636574  0.149367159 -0.797000886
## Aug 2022  3.146994371  2.678599946  1.291181931  0.893636574  0.149367159
## Sep 2022  2.533538318  3.146994371  2.678599946  1.291181931  0.893636574
## Oct 2022  0.476937940  2.533538318  3.146994371  2.678599946  1.291181931
## Nov 2022 -1.810872070  0.476937940  2.533538318  3.146994371  2.678599946
## Dec 2022 -3.271270999 -1.810872070  0.476937940  2.533538318  3.146994371
## Jan 2023 -3.302074312 -3.271270999 -1.810872070  0.476937940  2.533538318
## Feb 2023 -1.993592538 -3.302074312 -3.271270999 -1.810872070  0.476937940
## Mar 2023 -0.775788116 -1.993592538 -3.302074312 -3.271270999 -1.810872070
## Apr 2023  0.130149445 -0.775788116 -1.993592538 -3.302074312 -3.271270999
## May 2023  0.886343374  0.130149445 -0.775788116 -1.993592538 -3.302074312
## Jun 2023  1.299880164  0.886343374  0.130149445 -0.775788116 -1.993592538
## Jul 2023  2.685162737  1.299880164  0.886343374  0.130149445 -0.775788116
## Aug 2023  3.142126078  2.685162737  1.299880164  0.886343374  0.130149445
## Sep 2023  2.523667624  3.142126078  2.685162737  1.299880164  0.886343374
## Oct 2023  0.502928526  2.523667624  3.142126078  2.685162737  1.299880164
## Nov 2023 -1.835025326  0.502928526  2.523667624  3.142126078  2.685162737
## Dec 2023 -3.267228452 -1.835025326  0.502928526  2.523667624  3.142126078
## Jan 2024 -3.297346645 -3.267228452 -1.835025326  0.502928526  2.523667624
## Feb 2024 -1.994418551 -3.297346645 -3.267228452 -1.835025326  0.502928526
## Mar 2024 -0.771985100 -1.994418551 -3.297346645 -3.267228452 -1.835025326
## Apr 2024  0.122781772 -0.771985100 -1.994418551 -3.297346645 -3.267228452
## May 2024  0.878081982  0.122781772 -0.771985100 -1.994418551 -3.297346645
## Jun 2024  1.323527147  0.878081982  0.122781772 -0.771985100 -1.994418551
## Jul 2024  2.673893237  1.323527147  0.878081982  0.122781772 -0.771985100
## Aug 2024  3.141913902  2.673893237  1.323527147  0.878081982  0.122781772
## Sep 2024  2.511651236  3.141913902  2.673893237  1.323527147  0.878081982
## Oct 2024  0.529611226  2.511651236  3.141913902  2.673893237  1.323527147
## Nov 2024 -1.857976928  0.529611226  2.511651236  3.141913902  2.673893237
## Dec 2024 -3.261850952 -1.857976928  0.529611226  2.511651236  3.141913902
## Jan 2025 -3.292504672 -3.261850952 -1.857976928  0.529611226  2.511651236
## Feb 2025 -1.998987971 -3.292504672 -3.261850952 -1.857976928  0.529611226
## Mar 2025 -0.773968859 -1.998987971 -3.292504672 -3.261850952 -1.857976928
## Apr 2025  0.138859711 -0.773968859 -1.998987971 -3.292504672 -3.261850952
## May 2025  0.856049172  0.138859711 -0.773968859 -1.998987971 -3.292504672
## Jun 2025  1.335708642  0.856049172  0.138859711 -0.773968859 -1.998987971
## Jul 2025  2.665654904  1.335708642  0.856049172  0.138859711 -0.773968859
## Aug 2025  3.156924360  2.665654904  1.335708642  0.856049172  0.138859711
##            sea_dummy9  sea_dummy10  sea_dummy11
## Mar 1958  0.685093947  2.299525909  2.870797423
## Apr 1958 -1.233116059  0.685093947  2.299525909
## May 1958 -2.873138911 -1.233116059  0.685093947
## Jun 1958 -3.273437881 -2.873138911 -1.233116059
## Jul 1958 -2.076723539 -3.273437881 -2.873138911
## Aug 1958 -0.938574614 -2.076723539 -3.273437881
## Sep 1958  0.001769017 -0.938574614 -2.076723539
## Oct 1958  0.740661162  0.001769017 -0.938574614
## Nov 1958  1.285817035  0.740661162  0.001769017
## Dec 1958  2.511326512  1.285817035  0.740661162
## Jan 1959  2.870797423  2.511326512  1.285817035
## Feb 1959  2.299525909  2.870797423  2.511326512
## Mar 1959  0.685093947  2.299525909  2.870797423
## Apr 1959 -1.233116059  0.685093947  2.299525909
## May 1959 -2.873138911 -1.233116059  0.685093947
## Jun 1959 -3.273437881 -2.873138911 -1.233116059
## Jul 1959 -2.076723539 -3.273437881 -2.873138911
## Aug 1959 -0.938574614 -2.076723539 -3.273437881
## Sep 1959  0.001769017 -0.938574614 -2.076723539
## Oct 1959  0.736320343  0.001769017 -0.938574614
## Nov 1959  1.300476264  0.736320343  0.001769017
## Dec 1959  2.489194844  1.300476264  0.736320343
## Jan 1960  2.886351251  2.489194844  1.300476264
## Feb 1960  2.292430981  2.886351251  2.489194844
## Mar 1960  0.706076716  2.292430981  2.886351251
## Apr 1960 -1.256033960  0.706076716  2.292430981
## May 1960 -2.875430410 -1.256033960  0.706076716
## Jun 1960 -3.270547795 -2.875430410 -1.256033960
## Jul 1960 -2.065818180 -3.270547795 -2.875430410
## Aug 1960 -0.946045104 -2.065818180 -3.270547795
## Sep 1960  0.008809420 -0.946045104 -2.065818180
## Oct 1960  0.717685622  0.008809420 -0.946045104
## Nov 1960  1.321499087  0.717685622  0.008809420
## Dec 1960  2.470804069  1.321499087  0.717685622
## Jan 1961  2.907375800  2.470804069  1.321499087
## Feb 1961  2.272162748  2.907375800  2.470804069
## Mar 1961  0.732498574  2.272162748  2.907375800
## Apr 1961 -1.267324370  0.732498574  2.272162748
## May 1961 -2.896300697 -1.267324370  0.732498574
## Jun 1961 -3.253337719 -2.896300697 -1.267324370
## Jul 1961 -2.069199583 -3.253337719 -2.896300697
## Aug 1961 -0.945738042 -2.069199583 -3.253337719
## Sep 1961  0.012837398 -0.945738042 -2.069199583
## Oct 1961  0.700015975  0.012837398 -0.945738042
## Nov 1961  1.346543182  0.700015975  0.012837398
## Dec 1961  2.457765683  1.346543182  0.700015975
## Jan 1962  2.920056028  2.457765683  1.346543182
## Feb 1962  2.254741320  2.920056028  2.457765683
## Mar 1962  0.750622273  2.254741320  2.920056028
## Apr 1962 -1.273121172  0.750622273  2.254741320
## May 1962 -2.914976585 -1.273121172  0.750622273
## Jun 1962 -3.237575513 -2.914976585 -1.273121172
## Jul 1962 -2.069948645 -3.237575513 -2.914976585
## Aug 1962 -0.954345379 -2.069948645 -3.237575513
## Sep 1962  0.025658675 -0.954345379 -2.069948645
## Oct 1962  0.682943295  0.025658675 -0.954345379
## Nov 1962  1.360178023  0.682943295  0.025658675
## Dec 1962  2.465601342  1.360178023  0.682943295
## Jan 1963  2.911467340  2.465601342  1.360178023
## Feb 1963  2.249567636  2.911467340  2.465601342
## Mar 1963  0.767957698  2.249567636  2.911467340
## Apr 1963 -1.289811562  0.767957698  2.249567636
## May 1963 -2.910595006 -1.289811562  0.767957698
## Jun 1963 -3.246256864 -2.910595006 -1.289811562
## Jul 1963 -2.063783813 -3.246256864 -2.910595006
## Aug 1963 -0.960151291 -2.063783813 -3.246256864
## Sep 1963  0.035847066 -0.960151291 -2.063783813
## Oct 1963  0.678326949  0.035847066 -0.960151291
## Nov 1963  1.356368736  0.678326949  0.035847066
## Dec 1963  2.478883237  1.356368736  0.678326949
## Jan 1964  2.907063744  2.478883237  1.356368736
## Feb 1964  2.249686833  2.907063744  2.478883237
## Mar 1964  0.769704303  2.249686833  2.907063744
## Apr 1964 -1.287186615  0.769704303  2.249686833
## May 1964 -2.929599328 -1.287186615  0.769704303
## Jun 1964 -3.238476273 -2.929599328 -1.287186615
## Jul 1964 -2.063309725 -3.238476273 -2.929599328
## Aug 1964 -0.961762771 -2.063309725 -3.238476273
## Sep 1964  0.035654844 -0.961762771 -2.063309725
## Oct 1964  0.682074536  0.035654844 -0.961762771
## Nov 1964  1.356793087  0.682074536  0.035654844
## Dec 1964  2.493740923  1.356793087  0.682074536
## Jan 1965  2.892307931  2.493740923  1.356793087
## Feb 1965  2.247244168  2.892307931  2.493740923
## Mar 1965  0.780195441  2.247244168  2.892307931
## Apr 1965 -1.285989200  0.780195441  2.247244168
## May 1965 -2.948344578 -1.285989200  0.780195441
## Jun 1965 -3.235847332 -2.948344578 -1.285989200
## Jul 1965 -2.056293442 -3.235847332 -2.948344578
## Aug 1965 -0.961836860 -2.056293442 -3.235847332
## Sep 1965  0.026144181 -0.961836860 -2.056293442
## Oct 1965  0.692206017  0.026144181 -0.961836860
## Nov 1965  1.354361287  0.692206017  0.026144181
## Dec 1965  2.508762738  1.354361287  0.692206017
## Jan 1966  2.883711733  2.508762738  1.354361287
## Feb 1966  2.237174107  2.883711733  2.508762738
## Mar 1966  0.800105409  2.237174107  2.883711733
## Apr 1966 -1.301237024  0.800105409  2.237174107
## May 1966 -2.945089229 -1.301237024  0.800105409
## Jun 1966 -3.253690460 -2.945089229 -1.301237024
## Jul 1966 -2.039500560 -3.253690460 -2.945089229
## Aug 1966 -0.968778092 -2.039500560 -3.253690460
## Sep 1966  0.031439279 -0.968778092 -2.039500560
## Oct 1966  0.687418978  0.031439279 -0.968778092
## Nov 1966  1.361061202  0.687418978  0.031439279
## Dec 1966  2.509906373  1.361061202  0.687418978
## Jan 1967  2.889263700  2.509906373  1.361061202
## Feb 1967  2.236603691  2.889263700  2.509906373
## Mar 1967  0.793692857  2.236603691  2.889263700
## Apr 1967 -1.291874766  0.793692857  2.236603691
## May 1967 -2.962393301 -1.291874766  0.793692857
## Jun 1967 -3.253359074 -2.962393301 -1.291874766
## Jul 1967 -2.045702298 -3.253359074 -2.962393301
## Aug 1967 -0.958082908 -2.045702298 -3.253359074
## Sep 1967  0.037394143 -0.958082908 -2.045702298
## Oct 1967  0.676956542  0.037394143 -0.958082908
## Nov 1967  1.369802890  0.676956542  0.037394143
## Dec 1967  2.506609677  1.369802890  0.676956542
## Jan 1968  2.903407143  2.506609677  1.369802890
## Feb 1968  2.229746785  2.903407143  2.506609677
## Mar 1968  0.789323262  2.229746785  2.903407143
## Apr 1968 -1.284577652  0.789323262  2.229746785
## May 1968 -2.986277343 -1.284577652  0.789323262
## Jun 1968 -3.236086254 -2.986277343 -1.284577652
## Jul 1968 -2.061437181 -3.236086254 -2.986277343
## Aug 1968 -0.939775261 -2.061437181 -3.236086254
## Sep 1968  0.025450372 -0.939775261 -2.061437181
## Oct 1968  0.674571168  0.025450372 -0.939775261
## Nov 1968  1.386694581  0.674571168  0.025450372
## Dec 1968  2.501840115  1.386694581  0.674571168
## Jan 1969  2.907324961  2.501840115  1.386694581
## Feb 1969  2.224907752  2.907324961  2.501840115
## Mar 1969  0.797476147  2.224907752  2.907324961
## Apr 1969 -1.290172535  0.797476147  2.224907752
## May 1969 -3.000346528 -1.290172535  0.797476147
## Jun 1969 -3.223606804 -3.000346528 -1.290172535
## Jul 1969 -2.075232072 -3.223606804 -3.000346528
## Aug 1969 -0.931422415 -2.075232072 -3.223606804
## Sep 1969  0.021152192 -0.931422415 -2.075232072
## Oct 1969  0.672903018  0.021152192 -0.931422415
## Nov 1969  1.401248854  0.672903018  0.021152192
## Dec 1969  2.497910880  1.401248854  0.672903018
## Jan 1970  2.918429007  2.497910880  1.401248854
## Feb 1970  2.213916527  2.918429007  2.497910880
## Mar 1970  0.804128040  2.213916527  2.918429007
## Apr 1970 -1.298041330  0.804128040  2.213916527
## May 1970 -3.008725278 -1.298041330  0.804128040
## Jun 1970 -3.218557216 -3.008725278 -1.298041330
## Jul 1970 -2.076556090 -3.218557216 -3.008725278
## Aug 1970 -0.929535186 -2.076556090 -3.218557216
## Sep 1970  0.006618272 -0.929535186 -2.076556090
## Oct 1970  0.690295751  0.006618272 -0.929535186
## Nov 1970  1.399910774  0.690295751  0.006618272
## Dec 1970  2.503904161  1.399910774  0.690295751
## Jan 1971  2.920980483  2.503904161  1.399910774
## Feb 1971  2.217787327  2.920980483  2.503904161
## Mar 1971  0.792943479  2.217787327  2.920980483
## Apr 1971 -1.288179257  0.792943479  2.217787327
## May 1971 -3.036884261 -1.288179257  0.792943479
## Jun 1971 -3.204398382 -3.036884261 -1.288179257
## Jul 1971 -2.074783839 -3.204398382 -3.036884261
## Aug 1971 -0.932029574 -2.074783839 -3.204398382
## Sep 1971 -0.002846830 -0.932029574 -2.074783839
## Oct 1971  0.707510819 -0.002846830 -0.932029574
## Nov 1971  1.397713610  0.707510819 -0.002846830
## Dec 1971  2.495755568  1.397713610  0.707510819
## Jan 1972  2.942054508  2.495755568  1.397713610
## Feb 1972  2.213138445  2.942054508  2.495755568
## Mar 1972  0.789678002  2.213138445  2.942054508
## Apr 1972 -1.284203014  0.789678002  2.213138445
## May 1972 -3.063368070 -1.284203014  0.789678002
## Jun 1972 -3.196406101 -3.063368070 -1.284203014
## Jul 1972 -2.068242966 -3.196406101 -3.063368070
## Aug 1972 -0.930490128 -2.068242966 -3.196406101
## Sep 1972 -0.018857433 -0.930490128 -2.068242966
## Oct 1972  0.725732878 -0.018857433 -0.930490128
## Nov 1972  1.384013130  0.725732878 -0.018857433
## Dec 1972  2.514355656  1.384013130  0.725732878
## Jan 1973  2.951485258  2.514355656  1.384013130
## Feb 1973  2.206381535  2.951485258  2.514355656
## Mar 1973  0.787589388  2.206381535  2.951485258
## Apr 1973 -1.290863199  0.787589388  2.206381535
## May 1973 -3.073829647 -1.290863199  0.787589388
## Jun 1973 -3.194784486 -3.073829647 -1.290863199
## Jul 1973 -2.060997432 -3.194784486 -3.073829647
## Aug 1973 -0.933751488 -2.060997432 -3.194784486
## Sep 1973 -0.026605545 -0.933751488 -2.060997432
## Oct 1973  0.724103318 -0.026605545 -0.933751488
## Nov 1973  1.405053306  0.724103318 -0.026605545
## Dec 1973  2.508223126  1.405053306  0.724103318
## Jan 1974  2.957790671  2.508223126  1.405053306
## Feb 1974  2.212940015  2.957790671  2.508223126
## Mar 1974  0.782492408  2.212940015  2.957790671
## Apr 1974 -1.299834459  0.782492408  2.212940015
## May 1974 -3.078680528 -1.299834459  0.782492408
## Jun 1974 -3.199008258 -3.078680528 -1.299834459
## Jul 1974 -2.057978823 -3.199008258 -3.078680528
## Aug 1974 -0.932589103 -2.057978823 -3.199008258
## Sep 1974 -0.030449681 -0.932589103 -2.057978823
## Oct 1974  0.716153192 -0.030449681 -0.932589103
## Nov 1974  1.425712054  0.716153192 -0.030449681
## Dec 1974  2.511493753  1.425712054  0.716153192
## Jan 1975  2.958272533  2.511493753  1.425712054
## Feb 1975  2.217327718  2.958272533  2.511493753
## Mar 1975  0.787265998  2.217327718  2.958272533
## Apr 1975 -1.318918406  0.787265998  2.217327718
## May 1975 -3.084190547 -1.318918406  0.787265998
## Jun 1975 -3.198556732 -3.084190547 -1.318918406
## Jul 1975 -2.067563575 -3.198556732 -3.084190547
## Aug 1975 -0.923715328 -2.067563575 -3.198556732
## Sep 1975 -0.018021689 -0.923715328 -2.067563575
## Oct 1975  0.692919310 -0.018021689 -0.923715328
## Nov 1975  1.448143466  0.692919310 -0.018021689
## Dec 1975  2.516682444  1.448143466  0.692919310
## Jan 1976  2.949455979  2.516682444  1.448143466
## Feb 1976  2.235130289  2.949455979  2.516682444
## Mar 1976  0.788557180  2.235130289  2.949455979
## Apr 1976 -1.343206765  0.788557180  2.235130289
## May 1976 -3.085544583 -1.343206765  0.788557180
## Jun 1976 -3.202877994 -3.085544583 -1.343206765
## Jul 1976 -2.072179121 -3.202877994 -3.085544583
## Aug 1976 -0.912058838 -2.072179121 -3.202877994
## Sep 1976 -0.009962684 -0.912058838 -2.072179121
## Oct 1976  0.662500088 -0.009962684 -0.912058838
## Nov 1976  1.478370431  0.662500088 -0.009962684
## Dec 1976  2.527591020  1.478370431  0.662500088
## Jan 1977  2.934967777  2.527591020  1.478370431
## Feb 1977  2.249167993  2.934967777  2.527591020
## Mar 1977  0.792884826  2.249167993  2.934967777
## Apr 1977 -1.362771504  0.792884826  2.249167993
## May 1977 -3.093461645 -1.362771504  0.792884826
## Jun 1977 -3.209286836 -3.093461645 -1.362771504
## Jul 1977 -2.067882669 -3.209286836 -3.093461645
## Aug 1977 -0.911553186 -2.067882669 -3.209286836
## Sep 1977  0.015031229 -0.911553186 -2.067882669
## Oct 1977  0.613710732  0.015031229 -0.911553186
## Nov 1977  1.525215746  0.613710732  0.015031229
## Dec 1977  2.519268846  1.525215746  0.613710732
## Jan 1978  2.928753074  2.519268846  1.525215746
## Feb 1978  2.278418910  2.928753074  2.519268846
## Mar 1978  0.776452270  2.278418910  2.928753074
## Apr 1978 -1.374029321  0.776452270  2.278418910
## May 1978 -3.106744934 -1.374029321  0.776452270
## Jun 1978 -3.206857059 -3.106744934 -1.374029321
## Jul 1978 -2.064837775 -3.206857059 -3.106744934
## Aug 1978 -0.915097581 -2.064837775 -3.206857059
## Sep 1978  0.031623689 -0.915097581 -2.064837775
## Oct 1978  0.589078358  0.031623689 -0.915097581
## Nov 1978  1.553387420  0.589078358  0.031623689
## Dec 1978  2.519471433  1.553387420  0.589078358
## Jan 1979  2.911513786  2.519471433  1.553387420
## Feb 1979  2.318112324  2.911513786  2.519471433
## Mar 1979  0.748352867  2.318112324  2.911513786
## Apr 1979 -1.368915365  0.748352867  2.318112324
## May 1979 -3.129926878 -1.368915365  0.748352867
## Jun 1979 -3.204410887 -3.129926878 -1.368915365
## Jul 1979 -2.063514675 -3.204410887 -3.129926878
## Aug 1979 -0.907900632 -2.063514675 -3.204410887
## Sep 1979  0.030843113 -0.907900632 -2.063514675
## Oct 1979  0.582247431  0.030843113 -0.907900632
## Nov 1979  1.571402407  0.582247431  0.030843113
## Dec 1979  2.515755847  1.571402407  0.582247431
## Jan 1980  2.910808578  2.515755847  1.571402407
## Feb 1980  2.345059644  2.910808578  2.515755847
## Mar 1980  0.723004621  2.345059644  2.910808578
## Apr 1980 -1.372003611  0.723004621  2.345059644
## May 1980 -3.142020822 -1.372003611  0.723004621
## Jun 1980 -3.203358970 -3.142020822 -1.372003611
## Jul 1980 -2.067593564 -3.203358970 -3.142020822
## Aug 1980 -0.893239233 -2.067593564 -3.203358970
## Sep 1980  0.021105243 -0.893239233 -2.067593564
## Oct 1980  0.592611881  0.021105243 -0.893239233
## Nov 1980  1.564633440  0.592611881  0.021105243
## Dec 1980  2.522528827  1.564633440  0.592611881
## Jan 1981  2.923133131  2.522528827  1.564633440
## Feb 1981  2.353676405  2.923133131  2.522528827
## Mar 1981  0.708635555  2.353676405  2.923133131
## Apr 1981 -1.382456289  0.708635555  2.353676405
## May 1981 -3.145483829 -1.382456289  0.708635555
## Jun 1981 -3.212942082 -3.145483829 -1.382456289
## Jul 1981 -2.061872505 -3.212942082 -3.145483829
## Aug 1981 -0.882243873 -2.061872505 -3.212942082
## Sep 1981  0.002084653 -0.882243873 -2.061872505
## Oct 1981  0.626133270  0.002084653 -0.882243873
## Nov 1981  1.535524853  0.626133270  0.002084653
## Dec 1981  2.535925477  1.535524853  0.626133270
## Jan 1982  2.945468912  2.535925477  1.535524853
## Feb 1982  2.342908643  2.945468912  2.535925477
## Mar 1982  0.709330209  2.342908643  2.945468912
## Apr 1982 -1.392277265  0.709330209  2.342908643
## May 1982 -3.157231935 -1.392277265  0.709330209
## Jun 1982 -3.219158863 -3.157231935 -1.392277265
## Jul 1982 -2.062045199 -3.219158863 -3.157231935
## Aug 1982 -0.866377609 -2.062045199 -3.219158863
## Sep 1982 -0.005505258 -0.866377609 -2.062045199
## Oct 1982  0.648469380 -0.005505258 -0.866377609
## Nov 1982  1.503939786  0.648469380 -0.005505258
## Dec 1982  2.552175686  1.503939786  0.648469380
## Jan 1983  2.970518057  2.552175686  1.503939786
## Feb 1983  2.328255832  2.970518057  2.552175686
## Mar 1983  0.705395720  2.328255832  2.970518057
## Apr 1983 -1.391884570  0.705395720  2.328255832
## May 1983 -3.173646726 -1.391884570  0.705395720
## Jun 1983 -3.220444101 -3.173646726 -1.391884570
## Jul 1983 -2.068236523 -3.220444101 -3.173646726
## Aug 1983 -0.849136846 -2.068236523 -3.220444101
## Sep 1983 -0.012522689 -0.849136846 -2.068236523
## Oct 1983  0.670578682 -0.012522689 -0.849136846
## Nov 1983  1.471290707  0.670578682 -0.012522689
## Dec 1983  2.576708387  1.471290707  0.670578682
## Jan 1984  2.980160813  2.576708387  1.471290707
## Feb 1984  2.326061543  2.980160813  2.576708387
## Mar 1984  0.695297583  2.326061543  2.980160813
## Apr 1984 -1.391353311  0.695297583  2.326061543
## May 1984 -3.185635011 -1.391353311  0.695297583
## Jun 1984 -3.227994628 -3.185635011 -1.391353311
## Jul 1984 -2.068814676 -3.227994628 -3.185635011
## Aug 1984 -0.838821783 -2.068814676 -3.227994628
## Sep 1984 -0.005656764 -0.838821783 -2.068814676
## Oct 1984  0.670005317 -0.005656764 -0.838821783
## Nov 1984  1.466899271  0.670005317 -0.005656764
## Dec 1984  2.585107289  1.466899271  0.670005317
## Jan 1985  2.990934982  2.585107289  1.466899271
## Feb 1985  2.323579298  2.990934982  2.585107289
## Mar 1985  0.690131740  2.323579298  2.990934982
## Apr 1985 -1.403211502  0.690131740  2.323579298
## May 1985 -3.187681173 -1.403211502  0.690131740
## Jun 1985 -3.237358647 -3.187681173 -1.403211502
## Jul 1985 -2.067995018 -3.237358647 -3.187681173
## Aug 1985 -0.828435617 -2.067995018 -3.237358647
## Sep 1985 -0.002056309 -0.828435617 -2.067995018
## Oct 1985  0.666274418 -0.002056309 -0.828435617
## Nov 1985  1.478119408  0.666274418 -0.002056309
## Dec 1985  2.578195744  1.478119408  0.666274418
## Jan 1986  3.004861484  2.578195744  1.478119408
## Feb 1986  2.327027142  3.004861484  2.578195744
## Mar 1986  0.680892251  2.327027142  3.004861484
## Apr 1986 -1.425784229  0.680892251  2.327027142
## May 1986 -3.173917933 -1.425784229  0.680892251
## Jun 1986 -3.250570929 -3.173917933 -1.425784229
## Jul 1986 -2.061321698 -3.250570929 -3.173917933
## Aug 1986 -0.838144265 -2.061321698 -3.250570929
## Sep 1986  0.016427571 -0.838144265 -2.061321698
## Oct 1986  0.673560181  0.016427571 -0.838144265
## Nov 1986  1.463714448  0.673560181  0.016427571
## Dec 1986  2.587531897  1.463714448  0.673560181
## Jan 1987  3.014603476  2.587531897  1.463714448
## Feb 1987  2.325522339  3.014603476  2.587531897
## Mar 1987  0.686265829  2.325522339  3.014603476
## Apr 1987 -1.461319930  0.686265829  2.325522339
## May 1987 -3.159310119 -1.461319930  0.686265829
## Jun 1987 -3.258038368 -3.159310119 -1.461319930
## Jul 1987 -2.054610969 -3.258038368 -3.159310119
## Aug 1987 -0.856407807 -2.054610969 -3.258038368
## Sep 1987  0.040994410 -0.856407807 -2.054610969
## Oct 1987  0.676422395  0.040994410 -0.856407807
## Nov 1987  1.460638196  0.676422395  0.040994410
## Dec 1987  2.589897016  1.460638196  0.676422395
## Jan 1988  3.024137625  2.589897016  1.460638196
## Feb 1988  2.318277527  3.024137625  2.589897016
## Mar 1988  0.693217046  2.318277527  3.024137625
## Apr 1988 -1.471684515  0.693217046  2.318277527
## May 1988 -3.184119244 -1.471684515  0.693217046
## Jun 1988 -3.243167519 -3.184119244 -1.471684515
## Jul 1988 -2.053088549 -3.243167519 -3.184119244
## Aug 1988 -0.865580625 -2.053088549 -3.243167519
## Sep 1988  0.045057508 -0.865580625 -2.053088549
## Oct 1988  0.692029485  0.045057508 -0.865580625
## Nov 1988  1.463384332  0.692029485  0.045057508
## Dec 1988  2.587673265  1.463384332  0.692029485
## Jan 1989  3.029758103  2.587673265  1.463384332
## Feb 1989  2.314937475  3.029758103  2.587673265
## Mar 1989  0.697923116  2.314937475  3.029758103
## Apr 1989 -1.480974160  0.697923116  2.314937475
## May 1989 -3.210073688 -1.480974160  0.697923116
## Jun 1989 -3.226711699 -3.210073688 -1.480974160
## Jul 1989 -2.056692610 -3.226711699 -3.210073688
## Aug 1989 -0.868550871 -2.056692610 -3.226711699
## Sep 1989  0.054661514 -0.868550871 -2.056692610
## Oct 1989  0.695681511  0.054661514 -0.868550871
## Nov 1989  1.467704160  0.695681511  0.054661514
## Dec 1989  2.589479019  1.467704160  0.695681511
## Jan 1990  3.033898572  2.589479019  1.467704160
## Feb 1990  2.320026442  3.033898572  2.589479019
## Mar 1990  0.686144728  2.320026442  3.033898572
## Apr 1990 -1.480824087  0.686144728  2.320026442
## May 1990 -3.230280913 -1.480824087  0.686144728
## Jun 1990 -3.223161870 -3.230280913 -1.480824087
## Jul 1990 -2.056802482 -3.223161870 -3.230280913
## Aug 1990 -0.857534166 -2.056802482 -3.223161870
## Sep 1990  0.044301181 -0.857534166 -2.056802482
## Oct 1990  0.703490611  0.044301181 -0.857534166
## Nov 1990  1.487884637  0.703490611  0.044301181
## Dec 1990  2.571412285  1.487884637  0.703490611
## Jan 1991  3.049282546  2.571412285  1.487884637
## Feb 1991  2.325911770  3.049282546  2.571412285
## Mar 1991  0.667669722  2.325911770  3.049282546
## Apr 1991 -1.479508766  0.667669722  2.325911770
## May 1991 -3.245029043 -1.479508766  0.667669722
## Jun 1991 -3.224909038 -3.245029043 -1.479508766
## Jul 1991 -2.054176356 -3.224909038 -3.245029043
## Aug 1991 -0.850807275 -2.054176356 -3.224909038
## Sep 1991  0.048878384 -0.850807275 -2.054176356
## Oct 1991  0.695364574  0.048878384 -0.850807275
## Nov 1991  1.500829557  0.695364574  0.048878384
## Dec 1991  2.578402674  1.500829557  0.695364574
## Jan 1992  3.042273078  2.578402674  1.500829557
## Feb 1992  2.342234369  3.042273078  2.578402674
## Mar 1992  0.651663794  2.342234369  3.042273078
## Apr 1992 -1.485019709  0.651663794  2.342234369
## May 1992 -3.254425507 -1.485019709  0.651663794
## Jun 1992 -3.226069769 -3.254425507 -1.485019709
## Jul 1992 -2.054472565 -3.226069769 -3.254425507
## Aug 1992 -0.855560161 -2.054472565 -3.226069769
## Sep 1992  0.066318988 -0.855560161 -2.054472565
## Oct 1992  0.696022834  0.066318988 -0.855560161
## Nov 1992  1.506464132  0.696022834  0.066318988
## Dec 1992  2.581057370  1.506464132  0.696022834
## Jan 1993  3.031633488  2.581057370  1.506464132
## Feb 1993  2.361392947  3.031633488  2.581057370
## Mar 1993  0.635018237  2.361392947  3.031633488
## Apr 1993 -1.484375049  0.635018237  2.361392947
## May 1993 -3.268449604 -1.484375049  0.635018237
## Jun 1993 -3.222372089 -3.268449604 -1.484375049
## Jul 1993 -2.059780288 -3.222372089 -3.268449604
## Aug 1993 -0.857894566 -2.059780288 -3.222372089
## Sep 1993  0.085396553 -0.857894566 -2.059780288
## Oct 1993  0.689807632  0.085396553 -0.857894566
## Nov 1993  1.518601081  0.689807632  0.085396553
## Dec 1993  2.579773613  1.518601081  0.689807632
## Jan 1994  3.033103393  2.579773613  1.518601081
## Feb 1994  2.357499057  3.033103393  2.579773613
## Mar 1994  0.633414482  2.357499057  3.033103393
## Apr 1994 -1.490609005  0.633414482  2.357499057
## May 1994 -3.269298028 -1.490609005  0.633414482
## Jun 1994 -3.233023799 -3.269298028 -1.490609005
## Jul 1994 -2.060495178 -3.233023799 -3.269298028
## Aug 1994 -0.849411461 -2.060495178 -3.233023799
## Sep 1994  0.084618841 -0.849411461 -2.060495178
## Oct 1994  0.701510586  0.084618841 -0.849411461
## Nov 1994  1.513628491  0.701510586  0.084618841
## Dec 1994  2.597769996  1.513628491  0.701510586
## Jan 1995  3.024258888  2.597769996  1.513628491
## Feb 1995  2.341319363  3.024258888  2.597769996
## Mar 1995  0.653769449  2.341319363  3.024258888
## Apr 1995 -1.505934701  0.653769449  2.341319363
## May 1995 -3.272650018 -1.505934701  0.653769449
## Jun 1995 -3.242605899 -3.272650018 -1.505934701
## Jul 1995 -2.058509130 -3.242605899 -3.272650018
## Aug 1995 -0.838259409 -2.058509130 -3.242605899
## Sep 1995  0.075780074 -0.838259409 -2.058509130
## Oct 1995  0.719462478  0.075780074 -0.838259409
## Nov 1995  1.507425095  0.719462478  0.075780074
## Dec 1995  2.613048659  1.507425095  0.719462478
## Jan 1996  3.011373535  2.613048659  1.507425095
## Feb 1996  2.334484743  3.011373535  2.613048659
## Mar 1996  0.672408463  2.334484743  3.011373535
## Apr 1996 -1.527179374  0.672408463  2.334484743
## May 1996 -3.269180812 -1.527179374  0.672408463
## Jun 1996 -3.254361564 -3.269180812 -1.527179374
## Jul 1996 -2.056347952 -3.254361564 -3.269180812
## Aug 1996 -0.832312774 -2.056347952 -3.254361564
## Sep 1996  0.074260646 -0.832312774 -2.056347952
## Oct 1996  0.733404622  0.074260646 -0.832312774
## Nov 1996  1.506464017  0.733404622  0.074260646
## Dec 1996  2.619798383  1.506464017  0.733404622
## Jan 1997  3.004500353  2.619798383  1.506464017
## Feb 1997  2.326708575  3.004500353  2.619798383
## Mar 1997  0.680142257  2.326708575  3.004500353
## Apr 1997 -1.523093277  0.680142257  2.326708575
## May 1997 -3.290725201 -1.523093277  0.680142257
## Jun 1997 -3.252673816 -3.290725201 -1.523093277
## Jul 1997 -2.063729257 -3.252673816 -3.290725201
## Aug 1997 -0.815180667 -2.063729257 -3.252673816
## Sep 1997  0.073937581 -0.815180667 -2.063729257
## Oct 1997  0.743048361  0.073937581 -0.815180667
## Nov 1997  1.485755055  0.743048361  0.073937581
## Dec 1997  2.647336241  1.485755055  0.743048361
## Jan 1998  3.001768947  2.647336241  1.485755055
## Feb 1998  2.313492910  3.001768947  2.647336241
## Mar 1998  0.684902939  2.313492910  3.001768947
## Apr 1998 -1.521250546  0.684902939  2.313492910
## May 1998 -3.310031342 -1.521250546  0.684902939
## Jun 1998 -3.248133792 -3.310031342 -1.521250546
## Jul 1998 -2.072114008 -3.248133792 -3.310031342
## Aug 1998 -0.802106530 -2.072114008 -3.248133792
## Sep 1998  0.082966481 -0.802106530 -2.072114008
## Oct 1998  0.735260125  0.082966481 -0.802106530
## Nov 1998  1.491084823  0.735260125  0.082966481
## Dec 1998  2.656357868  1.491084823  0.735260125
## Jan 1999  2.993005869  2.656357868  1.491084823
## Feb 1999  2.317638090  2.993005869  2.656357868
## Mar 1999  0.682895128  2.317638090  2.993005869
## Apr 1999 -1.529080587  0.682895128  2.317638090
## May 1999 -3.315538115 -1.529080587  0.682895128
## Jun 1999 -3.245634443 -3.315538115 -1.529080587
## Jul 1999 -2.076945446 -3.245634443 -3.315538115
## Aug 1999 -0.802178698 -2.076945446 -3.245634443
## Sep 1999  0.094157286 -0.802178698 -2.076945446
## Oct 1999  0.737684575  0.094157286 -0.802178698
## Nov 1999  1.488724275  0.737684575  0.094157286
## Dec 1999  2.669989185  1.488724275  0.737684575
## Jan 2000  2.979024911  2.669989185  1.488724275
## Feb 2000  2.328770568  2.979024911  2.669989185
## Mar 2000  0.679082915  2.328770568  2.979024911
## Apr 2000 -1.547708365  0.679082915  2.328770568
## May 2000 -3.307816836 -1.547708365  0.679082915
## Jun 2000 -3.253393550 -3.307816836 -1.547708365
## Jul 2000 -2.071693908 -3.253393550 -3.307816836
## Aug 2000 -0.807873940 -2.071693908 -3.253393550
## Sep 2000  0.110903208 -0.807873940 -2.071693908
## Oct 2000  0.729319716  0.110903208 -0.807873940
## Nov 2000  1.496903476  0.729319716  0.110903208
## Dec 2000  2.670937375  1.496903476  0.729319716
## Jan 2001  2.970836279  2.670937375  1.496903476
## Feb 2001  2.360153167  2.970836279  2.670937375
## Mar 2001  0.647744345  2.360153167  2.970836279
## Apr 2001 -1.566306066  0.647744345  2.360153167
## May 2001 -3.280006950 -1.566306066  0.647744345
## Jun 2001 -3.271723125 -3.280006950 -1.566306066
## Jul 2001 -2.067110711 -3.271723125 -3.280006950
## Aug 2001 -0.807364832 -2.067110711 -3.271723125
## Sep 2001  0.111954379 -0.807364832 -2.067110711
## Oct 2001  0.738073509  0.111954379 -0.807364832
## Nov 2001  1.499879457  0.738073509  0.111954379
## Dec 2001  2.655105762  1.499879457  0.738073509
## Jan 2002  2.993869718  2.655105762  1.499879457
## Feb 2002  2.365360580  2.993869718  2.655105762
## Mar 2002  0.631023958  2.365360580  2.993869718
## Apr 2002 -1.581819792  0.631023958  2.365360580
## May 2002 -3.265036548 -1.581819792  0.631023958
## Jun 2002 -3.284244491 -3.265036548 -1.581819792
## Jul 2002 -2.064510872 -3.284244491 -3.265036548
## Aug 2002 -0.808020650 -2.064510872 -3.284244491
## Sep 2002  0.120244533 -0.808020650 -2.064510872
## Oct 2002  0.744682949  0.120244533 -0.808020650
## Nov 2002  1.493325883  0.744682949  0.120244533
## Dec 2002  2.649515764  1.493325883  0.744682949
## Jan 2003  3.012154768  2.649515764  1.493325883
## Feb 2003  2.369561918  3.012154768  2.649515764
## Mar 2003  0.620289739  2.369561918  3.012154768
## Apr 2003 -1.600449169  0.620289739  2.369561918
## May 2003 -3.248549794 -1.600449169  0.620289739
## Jun 2003 -3.301184228 -3.248549794 -1.600449169
## Jul 2003 -2.059027282 -3.301184228 -3.248549794
## Aug 2003 -0.804902390 -2.059027282 -3.301184228
## Sep 2003  0.121609028 -0.804902390 -2.059027282
## Oct 2003  0.756845743  0.121609028 -0.804902390
## Nov 2003  1.474302090  0.756845743  0.121609028
## Dec 2003  2.658731235  1.474302090  0.756845743
## Jan 2004  3.029029903  2.658731235  1.474302090
## Feb 2004  2.369403047  3.029029903  2.658731235
## Mar 2004  0.606184981  2.369403047  3.029029903
## Apr 2004 -1.606684367  0.606184981  2.369403047
## May 2004 -3.250201272 -1.606684367  0.606184981
## Jun 2004 -3.302457688 -3.250201272 -1.606684367
## Jul 2004 -2.058184274 -3.302457688 -3.250201272
## Aug 2004 -0.803829535 -2.058184274 -3.302457688
## Sep 2004  0.122805759 -0.803829535 -2.058184274
## Oct 2004  0.768753654  0.122805759 -0.803829535
## Nov 2004  1.453443341  0.768753654  0.122805759
## Dec 2004  2.676718713  1.453443341  0.768753654
## Jan 2005  3.042009417  2.676718713  1.453443341
## Feb 2005  2.367378229  3.042009417  2.676718713
## Mar 2005  0.585422700  2.367378229  3.042009417
## Apr 2005 -1.599409264  0.585422700  2.367378229
## May 2005 -3.262775300 -1.599409264  0.585422700
## Jun 2005 -3.296084480 -3.262775300 -1.599409264
## Jul 2005 -2.062652823 -3.296084480 -3.262775300
## Aug 2005 -0.802908605 -2.062652823 -3.296084480
## Sep 2005  0.127152536 -0.802908605 -2.062652823
## Oct 2005  0.782710512  0.127152536 -0.802908605
## Nov 2005  1.432912291  0.782710512  0.127152536
## Dec 2005  2.688812704  1.432912291  0.782710512
## Jan 2006  3.053718404  2.688812704  1.432912291
## Feb 2006  2.357986270  3.053718404  2.688812704
## Mar 2006  0.591586380  2.357986270  3.053718404
## Apr 2006 -1.615220907  0.591586380  2.357986270
## May 2006 -3.267694761 -1.615220907  0.591586380
## Jun 2006 -3.284302603 -3.267694761 -1.615220907
## Jul 2006 -2.076463471 -3.284302603 -3.267694761
## Aug 2006 -0.804660942 -2.076463471 -3.284302603
## Sep 2006  0.145570550 -0.804660942 -2.076463471
## Oct 2006  0.790236969  0.145570550 -0.804660942
## Nov 2006  1.412304373  0.790236969  0.145570550
## Dec 2006  2.689267243  1.412304373  0.790236969
## Jan 2007  3.082292371  2.689267243  1.412304373
## Feb 2007  2.343964060  3.082292371  2.689267243
## Mar 2007  0.598343168  2.343964060  3.082292371
## Apr 2007 -1.645649701  0.598343168  2.343964060
## May 2007 -3.255235893 -1.645649701  0.598343168
## Jun 2007 -3.280496704 -3.255235893 -1.645649701
## Jul 2007 -2.082141892 -3.280496704 -3.255235893
## Aug 2007 -0.810715980 -2.082141892 -3.280496704
## Sep 2007  0.162537753 -0.810715980 -2.082141892
## Oct 2007  0.788854891  0.162537753 -0.810715980
## Nov 2007  1.413574565  0.788854891  0.162537753
## Dec 2007  2.674511479  1.413574565  0.788854891
## Jan 2008  3.105923249  2.674511479  1.413574565
## Feb 2008  2.339731524  3.105923249  2.674511479
## Mar 2008  0.604759834  2.339731524  3.105923249
## Apr 2008 -1.680493207  0.604759834  2.339731524
## May 2008 -3.235226651 -1.680493207  0.604759834
## Jun 2008 -3.290348318 -3.235226651 -1.680493207
## Jul 2008 -2.073222354 -3.290348318 -3.235226651
## Aug 2008 -0.826175905 -2.073222354 -3.290348318
## Sep 2008  0.187083309 -0.826175905 -2.073222354
## Oct 2008  0.777985144  0.187083309 -0.826175905
## Nov 2008  1.432491614  0.777985144  0.187083309
## Dec 2008  2.633528925  1.432491614  0.777985144
## Jan 2009  3.149210688  2.633528925  1.432491614
## Feb 2009  2.330465079  3.149210688  2.633528925
## Mar 2009  0.601378173  2.330465079  3.149210688
## Apr 2009 -1.697924990  0.601378173  2.330465079
## May 2009 -3.223883736 -1.697924990  0.601378173
## Jun 2009 -3.302621319 -3.223883736 -1.697924990
## Jul 2009 -2.061293621 -3.302621319 -3.223883736
## Aug 2009 -0.830628466 -2.061293621 -3.302621319
## Sep 2009  0.192601919 -0.830628466 -2.061293621
## Oct 2009  0.766138428  0.192601919 -0.830628466
## Nov 2009  1.453998905  0.766138428  0.192601919
## Dec 2009  2.616726478  1.453998905  0.766138428
## Jan 2010  3.167201696  2.616726478  1.453998905
## Feb 2010  2.331674472  3.167201696  2.616726478
## Mar 2010  0.588481934  2.331674472  3.167201696
## Apr 2010 -1.698146797  0.588481934  2.331674472
## May 2010 -3.229994582 -1.698146797  0.588481934
## Jun 2010 -3.311831385 -3.229994582 -1.698146797
## Jul 2010 -2.045598009 -3.311831385 -3.229994582
## Aug 2010 -0.830558243 -2.045598009 -3.311831385
## Sep 2010  0.186703507 -0.830558243 -2.045598009
## Oct 2010  0.774713714  0.186703507 -0.830558243
## Nov 2010  1.448249811  0.774713714  0.186703507
## Dec 2010  2.613576374  1.448249811  0.774713714
## Jan 2011  3.185720422  2.613576374  1.448249811
## Feb 2011  2.333839226  3.185720422  2.613576374
## Mar 2011  0.576911374  2.333839226  3.185720422
## Apr 2011 -1.700231681  0.576911374  2.333839226
## May 2011 -3.246475223 -1.700231681  0.576911374
## Jun 2011 -3.307613661 -3.246475223 -1.700231681
## Jul 2011 -2.036270409 -3.307613661 -3.246475223
## Aug 2011 -0.831588683 -2.036270409 -3.307613661
## Sep 2011  0.196620521 -0.831588683 -2.036270409
## Oct 2011  0.768815357  0.196620521 -0.831588683
## Nov 2011  1.443113656  0.768815357  0.196620521
## Dec 2011  2.608884357  1.443113656  0.768815357
## Jan 2012  3.207207745  2.608884357  1.443113656
## Feb 2012  2.328591087  3.207207745  2.608884357
## Mar 2012  0.579970293  2.328591087  3.207207745
## Apr 2012 -1.714425044  0.579970293  2.328591087
## May 2012 -3.251868153 -1.714425044  0.579970293
## Jun 2012 -3.310289120 -3.251868153 -1.714425044
## Jul 2012 -2.033021872 -3.310289120 -3.251868153
## Aug 2012 -0.817116464 -2.033021872 -3.310289120
## Sep 2012  0.194375255 -0.817116464 -2.033021872
## Oct 2012  0.768719776  0.194375255 -0.817116464
## Nov 2012  1.421380843  0.768719776  0.194375255
## Dec 2012  2.624368537  1.421380843  0.768719776
## Jan 2013  3.225641073  2.624368537  1.421380843
## Feb 2013  2.326382376  3.225641073  2.624368537
## Mar 2013  0.567853825  2.326382376  3.225641073
## Apr 2013 -1.711543609  0.567853825  2.326382376
## May 2013 -3.270206739 -1.711543609  0.567853825
## Jun 2013 -3.311596574 -3.270206739 -1.711543609
## Jul 2013 -2.021742611 -3.311596574 -3.270206739
## Aug 2013 -0.806250900 -2.021742611 -3.311596574
## Sep 2013  0.191295012 -0.806250900 -2.021742611
## Oct 2013  0.761392578  0.191295012 -0.806250900
## Nov 2013  1.417919680  0.761392578  0.191295012
## Dec 2013  2.623810073  1.417919680  0.761392578
## Jan 2014  3.242487389  2.623810073  1.417919680
## Feb 2014  2.336041114  3.242487389  2.623810073
## Mar 2014  0.551482987  2.336041114  3.242487389
## Apr 2014 -1.708576997  0.551482987  2.336041114
## May 2014 -3.297118309 -1.708576997  0.551482987
## Jun 2014 -3.296354444 -3.297118309 -1.708576997
## Jul 2014 -2.023671971 -3.296354444 -3.297118309
## Aug 2014 -0.793902360 -2.023671971 -3.296354444
## Sep 2014  0.201404976 -0.793902360 -2.023671971
## Oct 2014  0.737982693  0.201404976 -0.793902360
## Nov 2014  1.409846978  0.737982693  0.201404976
## Dec 2014  2.649090049  1.409846978  0.737982693
## Jan 2015  3.230286948  2.649090049  1.409846978
## Feb 2015  2.367460952  3.230286948  2.649090049
## Mar 2015  0.526281734  2.367460952  3.230286948
## Apr 2015 -1.710373770  0.526281734  2.367460952
## May 2015 -3.317779397 -1.710373770  0.526281734
## Jun 2015 -3.282694780 -3.317779397 -1.710373770
## Jul 2015 -2.018742074 -3.282694780 -3.317779397
## Aug 2015 -0.791252984 -2.018742074 -3.282694780
## Sep 2015  0.201295623 -0.791252984 -2.018742074
## Oct 2015  0.745370955  0.201295623 -0.791252984
## Nov 2015  1.385994853  0.745370955  0.201295623
## Dec 2015  2.664853690  1.385994853  0.745370955
## Jan 2016  3.233250009  2.664853690  1.385994853
## Feb 2016  2.382327060  3.233250009  2.664853690
## Mar 2016  0.513312980  2.382327060  3.233250009
## Apr 2016 -1.719995143  0.513312980  2.382327060
## May 2016 -3.323461247 -1.719995143  0.513312980
## Jun 2016 -3.286100875 -3.323461247 -1.719995143
## Jul 2016 -2.000183672 -3.286100875 -3.323461247
## Aug 2016 -0.796627762 -2.000183672 -3.286100875
## Sep 2016  0.193551178 -0.796627762 -2.000183672
## Oct 2016  0.770154504  0.193551178 -0.796627762
## Nov 2016  1.355751143  0.770154504  0.193551178
## Dec 2016  2.681124110  1.355751143  0.770154504
## Jan 2017  3.222871974  2.681124110  1.355751143
## Feb 2017  2.415457454  3.222871974  2.681124110
## Mar 2017  0.485340058  2.415457454  3.222871974
## Apr 2017 -1.721354040  0.485340058  2.415457454
## May 2017 -3.324207066 -1.721354040  0.485340058
## Jun 2017 -3.294153235 -3.324207066 -1.721354040
## Jul 2017 -1.976583162 -3.294153235 -3.324207066
## Aug 2017 -0.826010546 -1.976583162 -3.294153235
## Sep 2017  0.217946777 -0.826010546 -1.976583162
## Oct 2017  0.772490044  0.217946777 -0.826010546
## Nov 2017  1.355044757  0.772490044  0.217946777
## Dec 2017  2.664612923  1.355044757  0.772490044
## Jan 2018  3.223190439  2.664612923  1.355044757
## Feb 2018  2.439314446  3.223190439  2.664612923
## Mar 2018  0.467910302  2.439314446  3.223190439
## Apr 2018 -1.719887817  0.467910302  2.439314446
## May 2018 -3.324198006 -1.719887817  0.467910302
## Jun 2018 -3.298659907 -3.324198006 -1.719887817
## Jul 2018 -1.973739442 -3.298659907 -3.324198006
## Aug 2018 -0.829189831 -1.973739442 -3.298659907
## Sep 2018  0.217794865 -0.829189831 -1.973739442
## Oct 2018  0.789571735  0.217794865 -0.829189831
## Nov 2018  1.355493567  0.789571735  0.217794865
## Dec 2018  2.642629524  1.355493567  0.789571735
## Jan 2019  3.220895720  2.642629524  1.355493567
## Feb 2019  2.469685940  3.220895720  2.642629524
## Mar 2019  0.449791446  2.469685940  3.220895720
## Apr 2019 -1.726813391  0.449791446  2.469685940
## May 2019 -3.315461725 -1.726813391  0.449791446
## Jun 2019 -3.307224498 -3.315461725 -1.726813391
## Jul 2019 -1.961014443 -3.307224498 -3.315461725
## Aug 2019 -0.842069877 -1.961014443 -3.307224498
## Sep 2019  0.210961218 -0.842069877 -1.961014443
## Oct 2019  0.826368962  0.210961218 -0.842069877
## Nov 2019  1.330421446  0.826368962  0.210961218
## Dec 2019  2.641869166  1.330421446  0.826368962
## Jan 2020  3.214284889  2.641869166  1.330421446
## Feb 2020  2.489909432  3.214284889  2.641869166
## Mar 2020  0.444289249  2.489909432  3.214284889
## Apr 2020 -1.743767035  0.444289249  2.489909432
## May 2020 -3.299674431 -1.743767035  0.444289249
## Jun 2020 -3.310452594 -3.299674431 -1.743767035
## Jul 2020 -1.967270614 -3.310452594 -3.299674431
## Aug 2020 -0.833556716 -1.967270614 -3.310452594
## Sep 2020  0.196147490 -0.833556716 -1.967270614
## Oct 2020  0.850386332  0.196147490 -0.833556716
## Nov 2020  1.312824296  0.850386332  0.196147490
## Dec 2020  2.657896808  1.312824296  0.850386332
## Jan 2021  3.189618491  2.657896808  1.312824296
## Feb 2021  2.507392142  3.189618491  2.657896808
## Mar 2021  0.452404403  2.507392142  3.189618491
## Apr 2021 -1.767922110  0.452404403  2.507392142
## May 2021 -3.288531386 -1.767922110  0.452404403
## Jun 2021 -3.305156431 -3.288531386 -1.767922110
## Jul 2021 -1.976265989 -3.305156431 -3.288531386
## Aug 2021 -0.818261179 -1.976265989 -3.305156431
## Sep 2021  0.170326342 -0.818261179 -1.976265989
## Oct 2021  0.872177497  0.170326342 -0.818261179
## Nov 2021  1.305447418  0.872177497  0.170326342
## Dec 2021  2.673233992  1.305447418  0.872177497
## Jan 2022  3.157037385  2.673233992  1.305447418
## Feb 2022  2.526498886  3.157037385  2.673233992
## Mar 2022  0.468066889  2.526498886  3.157037385
## Apr 2022 -1.795096848  0.468066889  2.526498886
## May 2022 -3.283503014 -1.795096848  0.468066889
## Jun 2022 -3.291967086 -3.283503014 -1.795096848
## Jul 2022 -1.994331015 -3.291967086 -3.283503014
## Aug 2022 -0.797000886 -1.994331015 -3.291967086
## Sep 2022  0.149367159 -0.797000886 -1.994331015
## Oct 2022  0.893636574  0.149367159 -0.797000886
## Nov 2022  1.291181931  0.893636574  0.149367159
## Dec 2022  2.678599946  1.291181931  0.893636574
## Jan 2023  3.146994371  2.678599946  1.291181931
## Feb 2023  2.533538318  3.146994371  2.678599946
## Mar 2023  0.476937940  2.533538318  3.146994371
## Apr 2023 -1.810872070  0.476937940  2.533538318
## May 2023 -3.271270999 -1.810872070  0.476937940
## Jun 2023 -3.302074312 -3.271270999 -1.810872070
## Jul 2023 -1.993592538 -3.302074312 -3.271270999
## Aug 2023 -0.775788116 -1.993592538 -3.302074312
## Sep 2023  0.130149445 -0.775788116 -1.993592538
## Oct 2023  0.886343374  0.130149445 -0.775788116
## Nov 2023  1.299880164  0.886343374  0.130149445
## Dec 2023  2.685162737  1.299880164  0.886343374
## Jan 2024  3.142126078  2.685162737  1.299880164
## Feb 2024  2.523667624  3.142126078  2.685162737
## Mar 2024  0.502928526  2.523667624  3.142126078
## Apr 2024 -1.835025326  0.502928526  2.523667624
## May 2024 -3.267228452 -1.835025326  0.502928526
## Jun 2024 -3.297346645 -3.267228452 -1.835025326
## Jul 2024 -1.994418551 -3.297346645 -3.267228452
## Aug 2024 -0.771985100 -1.994418551 -3.297346645
## Sep 2024  0.122781772 -0.771985100 -1.994418551
## Oct 2024  0.878081982  0.122781772 -0.771985100
## Nov 2024  1.323527147  0.878081982  0.122781772
## Dec 2024  2.673893237  1.323527147  0.878081982
## Jan 2025  3.141913902  2.673893237  1.323527147
## Feb 2025  2.511651236  3.141913902  2.673893237
## Mar 2025  0.529611226  2.511651236  3.141913902
## Apr 2025 -1.857976928  0.529611226  2.511651236
## May 2025 -3.261850952 -1.857976928  0.529611226
## Jun 2025 -3.292504672 -3.261850952 -1.857976928
## Jul 2025 -1.998987971 -3.292504672 -3.261850952
## Aug 2025 -0.773968859 -1.998987971 -3.292504672

colnames(kalman_out$alphahat)

##  [1] "level"       "slope"       "sea_dummy1"  "sea_dummy2"  "sea_dummy3" 
##  [6] "sea_dummy4"  "sea_dummy5"  "sea_dummy6"  "sea_dummy7"  "sea_dummy8" 
## [11] "sea_dummy9"  "sea_dummy10" "sea_dummy11"

nivel_suavizado <- kalman_out$alphahat[, "level"]
pendiente_suavizada <- kalman_out$alphahat[, "slope"]
estacional_suavizada <- rowSums(
  kalman_out$alphahat[, grep("sea_dummy", colnames(kalman_out$alphahat))]
)

#grafico suavizado
plot(serie_modelar,
     main = "CO₂ observado vs Nivel suavizado (Kalman)",
     ylab = "CO₂ (ppm)",
     col = "gray40",
     lwd = 1)

lines(nivel_suavizado, col = "blue", lwd = 2)
legend("topleft",
       legend = c("Observado", "Nivel suavizado"),
       col = c("gray40", "blue"),
       lwd = c(1, 2))

#pendiente suavizada

plot(pendiente_suavizada,
     main = "Pendiente suavizada (tasa de crecimiento del CO₂)",
     ylab = "Incremento mensual",
     col = "darkred",
     lwd = 2)

#Estacioanlidad suavizada

plot(estacional_suavizada,
     main = "Componente estacional suavizada",
     ylab = "Efecto estacional (ppm)",
     col = "darkgreen",
     lwd = 2)

Pronóstico (Forecasting)

h <- 60  # 5 años = 60 meses

# 1️⃣ Pronóstico
forecast_co2 <- predict(
  fit_mle$model,
  n.ahead = h,
  interval = "prediction",
  level = 0.95
)

# 2️⃣ Extraer componentes
y_hat  <- forecast_co2[, "fit"]
IC_inf <- forecast_co2[, "lwr"]
IC_sup <- forecast_co2[, "upr"]

# 3️⃣ Gráfico
ts.plot(
  serie_co2,
  y_hat,
  col = c("black", "blue"),
  lty = c(1, 2),
  main = "Pronóstico CO₂ – Modelo de Espacio-Estado",
  ylab = "CO₂",
  xlab = "Tiempo"
)

lines(IC_inf, col = "red", lty = 4)
lines(IC_sup, col = "red", lty = 6)

Validación del Modelo

La validación del modelo se realizó mediante el análisis de los residuos estandarizados obtenidos del filtro de Kalman. Los residuos presentan un comportamiento centrado en cero, varianza aproximadamente constante y ausencia de autocorrelación significativa, lo cual fue corroborado mediante la función de autocorrelación y la prueba de Ljung–Box. Asimismo, los gráficos QQ y el histograma sugieren una distribución aproximadamente normal. En conjunto, estos resultados indican que el modelo de espacio-estado ajustado describe adecuadamente la dinámica de la serie de CO₂ y es apropiado para fines de inferencia y pronóstico.

# Filtro y suavizado
kfs <- KFS(fit_mle$model, filtering = "state", smoothing = "state")

# Residuos estandarizados
residuos <- rstandard(kfs, type = "recursive")
residuos_ok <- na.omit(residuos)


ts.plot(
  residuos,
  main = "Residuos estandarizados – Filtro de Kalman",
  ylab = "Residuos",
  col = "darkblue"
)
abline(h = 0, col = "red", lty = 2)

hist(
  residuos,
  breaks = 20,
  probability = TRUE,
  main = "Histograma de residuos estandarizados",
  col = "lightgray"
)

curve(dnorm(x, mean = 0, sd = 1), add = TRUE, col = "red", lwd = 2)

qqnorm(residuos_ok)
qqline(residuos_ok, col = "red")

acf(
  residuos_ok,
  main = "ACF de residuos estandarizados"
)

Box.test(
  residuos,
  lag = 24,
  type = "Ljung-Box"
)

## 
##  Box-Ljung test
## 
## data:  residuos
## X-squared = 71.264, df = 24, p-value = 1.405e-06

exists("forecast_co2")

## [1] TRUE