LBB Time Series & Forecasting : Exchange Rate USD to IDR
Melissa Rusli
30 November 2023
1 Introduction
Source of the data used was taken from website BIS Data Portal1.
It is a bilateral exchange rate dataset contains long time series on US dollar nominal exchange rates. It records the nominal value of one US dollar (USD) relative to a given currency. A decrease (increase) indicates an appreciation (depreciation) of the currency against the USD.
For our topic in this Time Series and Forecasting LBB Project, we
will focused using dataset2 named
bis_usd_idr_xchange_clean.csv specifically extracted with
daily information between US dollar to Indonesian Rupiah (IDR) span from
the last 10 (ten) years (01 January 1990 until 28 November 2023) and
have been initially adjusted with standardization of time series
representations
2 Data Preparation
# Library Setup and Installation necessary packages
library(dplyr) # data wrangling
library(lubridate) # date manipulation
library(padr) # complete data frame
library(zoo) # Missing value imputation
library(forecast) # time series library
library(TTR) # Simple moving average function
library(MLmetrics) # calculate error
library(tseries) # adf.test
library(fpp) # data for forecasting: principles and practice
library(TSstudio)
library(ggplot2)
library(tidyr)
# set graphic theme
theme_set(theme_minimal())
options(scipen = 999)2.1 Read Data
# Read Data
bis_raw <- read.csv("data_input/bis_usd_idr_xchange_clean.csv")
# Check dataset
head(bis_raw)#> Rows: 8,767
#> Columns: 2
#> $ TIME_PERIOD.Period <chr> "1990-01-01", "1990-01-02", "1990-01-03", "1990-01-…
#> $ OBS_VALUE.Value <dbl> 1784, 1787, 1788, 1790, 1790, 1789, 1790, 1790, 179…At a glance, we observed that this is a daily time series data set for the value of exchange rate between USD to IDR with total of 8,767 observation dates.
Data Description as follows:
TIME_PERIOD.Period: Date of Observation on the currency exchange rateOBS_VALUE.Value: The nominal value of 1 (one) US Dollar (USD) relative to Indonesian Rupiah (IDR)
Further refinement still need to be done before the dataset is ready for Time Series Analysis:
- Change the variable column names to be more simple and descriptive
- Change type of first column
TIME_PERIOD.Periodinto date time format - Check that the data is arranged from earliest date/time to the latest
- Check that there is no missing date/time for every interval
- Check that there is no missing value
2.2 Data Cleaning
bis_clean <- bis_raw %>%
rename(date = TIME_PERIOD.Period,
value = OBS_VALUE.Value) %>%
mutate(date = ymd(date)) %>%
arrange(date)
# Check the data
head(bis_clean)#> 'data.frame': 8767 obs. of 2 variables:
#> $ date : Date, format: "1990-01-01" "1990-01-02" ...
#> $ value: num 1784 1787 1788 1790 1790 ...2.3 Sequential Data for Time Series
Check for complete sequential date interval :
complete_date <- seq.Date(from = min(bis_clean$date), to = max(bis_clean$date), by = "day")
head(complete_date)#> [1] "1990-01-01" "1990-01-02" "1990-01-03" "1990-01-04" "1990-01-05"
#> [6] "1990-01-06"#> [1] "2023-11-23" "2023-11-24" "2023-11-25" "2023-11-26" "2023-11-27"
#> [6] "2023-11-28"#> [1] FALSEThe result is FALSE meaning that there exist missing
dates in out bis_clean dataframe, therefore, currently our
dataset is not yet complete
To fill in the missing dates, we will use function pad()
from padr package.
bis_clean <- bis_clean %>% pad() # To fill in missing dates
# Let us re-check back on our new dataset
all(complete_date == bis_clean$date)#> [1] TRUE#> Rows: 12,385
#> Columns: 2
#> $ date <date> 1990-01-01, 1990-01-02, 1990-01-03, 1990-01-04, 1990-01-05, 199…
#> $ value <dbl> 1784, 1787, 1788, 1790, 1790, NA, NA, 1789, 1790, 1790, 1791, 17…#> date value
#> 0 3686The status is now TRUE meaning our dataset has been complete
sequentially for the dates. However, since there is new observations
date added to our dataset, there will be also missing values in the
column value, and there are totals of 3,686
missing values.
2.4 Missing Values Filled
From business perspective, in the case of Currency Exchange Rate, missing values can be filled with the last value before it missing, because we can assume that those missing values are when the banking operation was closed, thus the value of exchange rate can be assumed to remain the same as the last closing values.
We will use function na.locf() in this case
bis_clean <- bis_clean %>%
mutate(value = na.locf((value)))
# Re-check for total of missing values
colSums(is.na(bis_clean))#> date value
#> 0 0#> [1] FALSEThe dataset has contains all values in it and now ready for further Time Series Analysis
3 Exploratory Data Analysis : Time Series Analysis
3.1 Time Series Object
Transform the dataset into Time Series Object using
function ts(), with parameter frequency =
365.
# Creating Time Series Object
bis_ts <- ts(data = bis_clean$value,
start = c(1990,1),
frequency = 365)
head(bis_ts)#> Time Series:
#> Start = c(1990, 1)
#> End = c(1990, 6)
#> Frequency = 365
#> [1] 1784 1787 1788 1790 1790 1790#> [1] "ts"3.2 EDA with autoplot
💡 Insight :
- Trend for the exchange rate value is increasing yearly
- There is a wide increase of exchange rate value around 1997-1998
- There is a decrease and increase pattern of exchange rate value (concave up graphs) happening within year 2007 to 2013
- There is an extreme fluctuations of the exchange rate value in early year 2020, which might be an effect of pandemic COVID-19
3.2.1 Subsetting Time Series
We can also do further subsetting of our existing time series object
using function window(start,end) for further detail
visualization.
For example within year 2005 until 2015 which at a glance from previous visualization showing pattern concave up graphs
3.3 Decomposition of Time Series Data
Time Series Data contains 3 (three) components which are
Trend, Seasonal and
Error/Reminder/Random and decomposition process will give
us split information of each of those three components of the
Time Series Data using function
decompose()
3.4 Trend Analysis
# Decomposition Process
bis_decom <- decompose(bis_ts, type = "additive")
# Visualization
bis_decom %>% autoplot()
💡 Insight : From decomposition visualization, we can observed that the time series data contains
- Increasing
- Seasonal pattern
3.5 Seasonality Analysis
bis_clean %>%
mutate(month = month(date, label = T), # extract month
seasonal = bis_decom$seasonal) %>%
distinct(month, seasonal) %>%
ggplot(aes(month, seasonal)) +
geom_col()
💡 Insight :
- Highest increase in exchange rate value is in month of March
- Highest decrease in exchange rate value is in month of October
4 Forecasting and Model Evaluation
4.1 Object Time Series
Let us refresh the information of our object time series
bis_ts
#> Time Series:
#> Start = c(1990, 1)
#> End = c(2023, 340)
#> Frequency = 365
#> [1] 1784.000 1787.000 1788.000 1790.000 1790.000 1790.000 1790.000
#> [8] 1789.000 1790.000 1790.000 1791.000 1791.000 1791.000 1791.000
#> [15] 1792.000 1792.000 1792.000 1793.000 1794.000 1794.000 1794.000
#> [22] 1794.000 1795.000 1794.000 1795.000 1795.000 1795.000 1795.000
#> [29] 1793.000 1794.000 1793.000 1796.000 1796.000 1796.000 1796.000
#> [36] 1797.000 1795.000 1795.000 1796.000 1795.000 1795.000 1795.000
#> [43] 1795.000 1796.000 1805.000 1796.000 1796.000 1796.000 1796.000
#> [50] 1796.000 1798.000 1798.000 1798.000 1799.000 1799.000 1799.000
#> [57] 1799.000 1801.000 1802.000 1802.000 1803.000 1803.000 1803.000
#> [64] 1804.000 1804.000 1804.000 1805.000 1805.000 1805.000 1805.000
#> [71] 1806.000 1807.000 1808.000 1808.000 1808.000 1808.000 1808.000
#> [78] 1807.000 1807.000 1808.000 1810.000 1810.000 1810.000 1810.000
#> [85] 1809.000 1809.000 1809.000 1811.000 1801.000 1801.000 1801.000
#> [92] 1809.000 1809.000 1811.000 1812.000 1812.000 1812.000 1812.000
#> [99] 1811.000 1811.000 1813.000 1812.000 1813.000 1813.000 1813.000
#> [106] 1813.000 1814.000 1814.000 1814.000 1823.000 1823.000 1823.000
#> [113] 1814.000 1815.000 1815.000 1815.000 1816.000 1816.000 1816.000
#> [120] 1816.000 1816.000 1816.000 1816.000 1817.000 1817.000 1817.000
#> [127] 1817.000 1818.000 1817.000 1817.000 1817.000 1817.000 1817.000
#> [134] 1816.000 1816.000 1816.000 1816.000 1816.000 1816.000 1816.000
#> [141] 1816.000 1819.000 1821.000 1820.000 1820.000 1820.000 1820.000
#> [148] 1820.000 1822.000 1821.000 1823.000 1823.000 1823.000 1823.000
#> [155] 1825.000 1826.000 1825.000 1825.000 1826.000 1826.000 1826.000
#> [162] 1826.000 1827.000 1828.000 1828.000 1828.000 1828.000 1828.000
#> [169] 1819.000 1828.000 1827.000 1827.000 1827.000 1827.000 1827.000
#> [176] 1830.000 1832.000 1832.000 1832.000 1832.000 1832.000 1832.000
#> [183] 1832.000 1830.000 1830.000 1830.000 1830.000 1830.000 1830.000
#> [190] 1830.000 1833.000 1833.000 1833.000 1833.000 1833.000 1833.000
#> [197] 1833.000 1840.000 1840.000 1834.000 1835.000 1835.000 1835.000
#> [204] 1836.000 1836.000 1836.000 1837.000 1837.000 1837.000 1837.000
#> [211] 1838.000 1839.000 1837.000 1837.000 1839.000 1839.000 1839.000
#> [218] 1841.000 1842.000 1841.000 1842.000 1842.000 1842.000 1842.000
#> [225] 1842.000 1842.000 1842.000 1844.000 1844.000 1844.000 1844.000
#> [232] 1844.000 1844.000 1844.000 1844.000 1844.000 1844.000 1844.000
#> [239] 1844.000 1844.000 1844.000 1844.000 1844.000 1844.000 1844.000
#> [246] 1844.000 1844.000 1846.000 1846.000 1845.000 1845.000 1845.000
#> [253] 1845.000 1847.000 1854.000 1854.000 1854.000 1854.000 1854.000
#> [260] 1854.000 1852.000 1853.000 1854.000 1850.000 1850.000 1850.000
#> [267] 1845.000 1832.000 1832.000 1846.000 1846.000 1846.000 1846.000
#> [274] 1847.000 1847.000 1847.000 1846.000 1845.000 1845.000 1845.000
#> [281] 1859.000 1845.000 1846.000 1846.000 1846.000 1846.000 1846.000
#> [288] 1846.000 1847.000 1848.000 1848.000 1848.000 1848.000 1848.000
#> [295] 1848.000 1850.000 1851.000 1853.000 1852.000 1852.000 1852.000
#> [302] 1853.000 1854.000 1854.000 1856.000 1856.000 1856.000 1856.000
#> [309] 1856.000 1855.000 1855.000 1855.000 1856.000 1856.000 1856.000
#> [316] 1856.000 1856.000 1857.000 1858.000 1858.000 1858.000 1858.000
#> [323] 1859.000 1858.000 1859.000 1859.000 1861.000 1861.000 1861.000
#> [330] 1861.000 1861.930 1864.000 1864.000 1867.000 1867.000 1867.000
#> [337] 1867.000 1868.000 1869.000 1870.000 1870.000 1870.000 1870.000
#> [344] 1870.000 1870.000 1872.000 1872.000 1875.000 1875.000 1875.000
#> [351] 1875.000 1874.000 1875.000 1875.000 1878.000 1878.000 1878.000
#> [358] 1878.000 1878.000 1880.000 1880.000 1880.000 1880.000 1880.000
#> [365] 1880.000 1880.000 1883.000 1883.000 1883.000 1883.000 1883.000
#> [372] 1883.000 1887.000 1888.000 1889.000 1889.000 1889.000 1889.000
#> [379] 1889.000 1890.000 1890.000 1891.000 1892.000 1892.000 1892.000
#> [386] 1892.000 1892.000 1893.000 1893.000 1893.000 1893.000 1893.000
#> [393] 1894.000 1894.000 1895.000 1895.000 1895.000 1895.000 1895.000
#> [400] 1894.000 1894.000 1894.000 1893.000 1893.000 1893.000 1893.000
#> [407] 1893.000 1894.000 1894.000 1895.000 1896.000 1896.000 1896.000
#> [414] 1896.000 1896.000 1899.000 1899.000 1899.000 1899.000 1899.000
#> [421] 1899.000 1903.000 1903.000 1903.000 1899.000 1899.000 1899.000
#> [428] 1903.000 1906.000 1906.000 1907.000 1907.000 1907.000 1907.000
#> [435] 1908.000 1910.000 1910.000 1909.000 1909.000 1909.000 1909.000
#> [442] 1910.000 1912.000 1912.000 1913.000 1913.000 1913.000 1913.000
#> [449] 1913.000 1913.000 1914.000 1914.000 1914.000 1914.000 1914.000
#> [456] 1915.000 1914.000 1914.000 1914.000 1915.000 1915.000 1915.000
#> [463] 1915.000 1916.000 1916.000 1915.000 1916.000 1916.000 1916.000
#> [470] 1916.000 1916.000 1916.000 1916.000 1917.000 1917.000 1917.000
#> [477] 1918.000 1912.000 1936.500 1936.000 1937.000 1937.000 1937.000
#> [484] 1939.000 1937.500 1936.000 1921.000 1936.000 1936.000 1936.000
#> [491] 1936.000 1923.000 1936.000 1923.000 1936.000 1936.000 1936.000
#> [498] 1937.000 1925.000 1938.000 1938.000 1925.000 1925.000 1925.000
#> [505] 1941.000 1940.000 1939.000 1941.000 1941.000 1941.000 1941.000
#> [512] 1941.000 1941.000 1940.500 1942.000 1942.500 1942.500 1942.500
#> [519] 1943.000 1944.500 1943.000 1943.000 1944.000 1944.000 1944.000
#> [526] 1945.500 1945.000 1945.000 1946.000 1946.000 1946.000 1946.000
#> [533] 1946.000 1947.000 1947.000 1948.000 1947.000 1947.000 1947.000
#> [540] 1948.000 1948.000 1948.000 1948.000 1935.000 1935.000 1935.000
#> [547] 1950.000 1950.000 1950.050 1950.050 1951.000 1951.000 1951.000
#> [554] 1951.000 1950.000 1950.500 1951.000 1951.000 1951.000 1951.000
#> [561] 1952.000 1955.000 1952.000 1952.000 1953.000 1953.000 1953.000
#> [568] 1953.000 1953.000 1953.000 1952.500 1954.500 1954.500 1954.500
#> [575] 1955.000 1955.000 1955.000 1955.000 1955.000 1955.000 1955.000
#> [582] 1957.000 1957.000 1957.000 1957.000 1957.500 1957.500 1957.500
#> [589] 1955.500 1956.500 1955.500 1957.000 1957.500 1957.500 1957.500
#> [596] 1960.000 1960.500 1960.500 1961.000 1961.000 1961.000 1961.000
#> [603] 1961.000 1961.000 1960.000 1961.000 1961.000 1961.000 1961.000
#> [610] 1961.000 1962.500 1961.250 1963.000 1964.000 1964.000 1964.000
#> [617] 1962.750 1962.750 1963.000 1967.500 1968.000 1968.000 1968.000
#> [624] 1964.000 1964.000 1962.000 1966.500 1968.500 1968.500 1968.500
#> [631] 1968.000 1968.500 1969.000 1969.000 1969.000 1969.000 1969.000
#> [638] 1967.000 1966.500 1968.000 1970.000 1966.000 1966.000 1966.000
#> [645] 1971.500 1972.000 1972.000 1974.000 1974.000 1974.000 1974.000
#> [652] 1974.500 1975.000 1975.000 1976.000 1976.500 1976.500 1976.500
#> [659] 1976.500 1976.500 1977.250 1977.500 1977.500 1977.500 1977.500
#> [666] 1977.500 1975.500 1978.500 1979.000 1979.000 1979.000 1979.000
#> [673] 1978.500 1978.000 1977.000 1977.500 1977.000 1977.000 1977.000
#> [680] 1977.000 1977.000 1977.000 1979.000 1980.000 1980.000 1980.000
#> [687] 1979.000 1978.250 1978.750 1979.500 1980.500 1980.500 1980.500
#> [694] 1979.750 1979.000 1980.500 1981.000 1980.000 1980.000 1980.000
#> [701] 1981.750 1981.750 1982.000 1985.000 1987.250 1987.250 1987.250
#> [708] 1988.000 1989.000 1989.250 1990.500 1986.000 1986.000 1986.000
#> [715] 1986.000 1986.000 1987.000 1989.000 1988.500 1988.500 1988.500
#> [722] 1988.500 1977.000 1977.000 1992.500 1992.500 1992.500 1992.500
#> [729] 1994.500 1994.500 1994.500 1993.000 1994.000 1994.000 1994.000
#> [736] 1993.000 1991.500 1991.250 1991.250 1992.500 1992.500 1992.500
#> [743] 1994.500 1994.750 1995.000 1996.500 1997.000 1997.000 1997.000
#> [750] 1999.000 1999.000 1999.000 1998.750 1998.750 1998.750 1998.750
#> [757] 1999.500 1999.250 1999.250 1999.250 2000.500 2000.500 2000.500
#> [764] 2000.500 2000.500 2000.500 2001.500 2001.750 2001.750 2001.750
#> [771] 2001.500 2002.500 2003.500 2006.000 2006.000 2006.000 2006.000
#> [778] 2006.250 2006.500 2009.500 2010.750 2010.250 2010.250 2010.250
#> [785] 2011.500 2009.250 2010.250 2011.000 2010.250 2010.250 2010.250
#> [792] 2011.000 2011.000 2012.000 2012.000 2012.000 2012.000 2012.000
#> [799] 2011.500 2010.500 2011.500 2012.250 2012.750 2012.750 2012.750
#> [806] 2012.750 2011.500 2011.000 2011.750 2012.500 2012.500 2012.500
#> [813] 2013.500 2013.500 2014.250 2014.000 2015.000 2015.000 2015.000
#> [820] 2014.000 2014.000 2014.000 2016.000 2015.000 2015.000 2015.000
#> [827] 2015.000 2015.000 2015.000 2015.000 2015.000 2015.000 2015.000
#> [834] 2015.500 2016.000 2016.500 2016.500 2016.500 2016.500 2016.500
#> [841] 2017.750 2017.750 2017.750 2019.000 2020.000 2020.000 2020.000
#> [848] 2019.000 2018.000 2018.000 2020.500 2020.500 2020.500 2020.500
#> [855] 2020.500 2022.000 2023.500 2024.000 2024.000 2024.000 2024.000
#> [862] 2025.250 2026.250 2026.250 2026.250 2026.000 2026.000 2026.000
#> [869] 2026.750 2026.500 2026.500 2027.250 2028.000 2028.000 2028.000
#> [876] 2028.250 2028.250 2029.000 2029.000 2030.000 2030.000 2030.000
#> [883] 2030.000 2027.000 2029.000 2029.000 2029.000 2029.000 2029.000
#> [890] 2031.250 2029.000 2032.500 2032.500 2029.000 2029.000 2029.000
#> [897] 2030.000 2030.000 2030.000 2030.000 2030.000 2030.000 2030.000
#> [904] 2030.000 2030.000 2030.000 2030.000 2031.000 2031.000 2031.000
#> [911] 2035.500 2033.000 2033.000 2033.000 2034.750 2034.750 2034.750
#> [918] 2033.000 2033.000 2032.000 2033.000 2034.000 2034.000 2034.000
#> [925] 2031.630 2031.750 2033.000 2031.500 2033.000 2033.000 2033.000
#> [932] 2032.000 2033.000 2033.000 2034.000 2034.000 2034.000 2034.000
#> [939] 2035.000 2035.000 2035.000 2032.500 2031.000 2031.000 2031.000
#> [946] 2034.000 2034.000 2035.000 2035.000 2035.000 2035.000 2035.000
#> [953] 2035.000 2031.000 2032.050 2034.000 2034.000 2034.000 2034.000
#> [960] 2034.000 2029.880 2035.000 2032.500 2034.000 2034.000 2034.000
#> [967] 2033.000 2032.000 2032.000 2033.000 2033.000 2033.000 2033.000
#> [974] 2031.500 2034.000 2031.750 2034.000 2035.000 2035.000 2035.000
#> [981] 2034.000 2034.000 2034.000 2035.000 2036.000 2036.000 2036.000
#> [988] 2038.000 2039.500 2045.500 2046.500 2040.000 2040.000 2040.000
#> [995] 2041.000 2041.000 2044.500 2040.000 2040.000 2040.000 2040.000
#> [1002] 2040.000 2039.000 2038.000 2038.000 2040.000 2040.000 2040.000
#> [1009] 2036.500 2037.000 2042.000 2038.500 2046.000 2046.000 2046.000
#> [1016] 2045.000 2045.000 2045.000 2045.000 2044.000 2044.000 2044.000
#> [1023] 2040.500 2040.500 2047.000 2048.000 2047.000 2047.000 2047.000
#> [1030] 2048.000 2044.000 2049.000 2050.000 2045.500 2045.500 2045.500
#> [1037] 2047.000 2052.500 2051.000 2055.750 2052.000 2052.000 2052.000
#> [1044] 2053.000 2059.000 2053.000 2057.500 2053.000 2053.000 2053.000
#> [1051] 2059.000 2060.250 2060.000 2059.000 2059.500 2059.500 2059.500
#> [1058] 2064.000 2064.450 2063.750 2062.500 2063.000 2063.000 2063.000
#> [1065] 2064.000 2063.500 2063.500 2064.000 2064.250 2064.250 2064.250
#> [1072] 2064.000 2063.500 2062.000 2063.500 2063.500 2063.500 2063.500
#> [1079] 2064.500 2064.250 2064.500 2065.000 2064.380 2064.380 2064.380
#> [1086] 2064.750 2064.500 2066.500 2067.000 2067.000 2067.000 2067.000
#> [1093] 2068.500 2069.000 2067.500 2067.500 2067.500 2067.500 2067.500
#> [1100] 2068.500 2067.880 2067.500 2065.250 2063.000 2063.000 2063.000
#> [1107] 2065.000 2065.000 2061.000 2062.500 2062.500 2062.500 2062.500
#> [1114] 2066.000 2065.000 2065.000 2065.000 2065.000 2065.000 2065.000
#> [1121] 2063.500 2065.000 2065.000 2066.000 2065.000 2065.000 2065.000
#> [1128] 2067.000 2063.500 2063.000 2062.500 2068.000 2068.000 2068.000
#> [1135] 2063.130 2067.000 2061.250 2062.500 2062.500 2062.500 2062.500
#> [1142] 2067.000 2067.000 2066.000 2062.250 2066.000 2066.000 2066.000
#> [1149] 2063.000 2065.000 2065.000 2066.000 2067.000 2067.000 2067.000
#> [1156] 2068.000 2068.000 2067.000 2067.000 2062.750 2062.750 2062.750
#> [1163] 2063.380 2068.000 2069.000 2069.000 2069.000 2069.000 2069.000
#> [1170] 2070.000 2070.000 2070.000 2070.000 2069.000 2069.000 2069.000
#> [1177] 2072.500 2070.000 2070.000 2070.000 2070.000 2070.000 2070.000
#> [1184] 2075.500 2071.000 2071.000 2070.000 2069.000 2069.000 2069.000
#> [1191] 2069.000 2070.000 2070.000 2074.500 2074.500 2074.500 2074.500
#> [1198] 2075.130 2069.000 2070.000 2066.500 2071.000 2071.000 2071.000
#> [1205] 2070.000 2070.000 2070.000 2071.000 2070.000 2070.000 2070.000
#> [1212] 2072.000 2073.000 2069.000 2079.500 2079.500 2079.500 2079.500
#> [1219] 2074.000 2076.000 2074.000 2074.000 2074.000 2074.000 2074.000
#> [1226] 2077.500 2077.500 2077.500 2082.250 2077.000 2077.000 2077.000
#> [1233] 2076.000 2078.000 2078.000 2078.000 2078.000 2078.000 2078.000
#> [1240] 2080.000 2080.000 2079.000 2079.000 2081.250 2081.250 2081.250
#> [1247] 2081.380 2081.380 2079.000 2080.000 2080.000 2080.000 2080.000
#> [1254] 2081.000 2081.000 2082.000 2080.500 2082.000 2082.000 2082.000
#> [1261] 2082.500 2082.000 2084.500 2084.000 2088.750 2088.750 2088.750
#> [1268] 2086.000 2087.000 2087.000 2088.000 2093.250 2093.250 2093.250
#> [1275] 2088.000 2093.630 2089.000 2094.500 2095.500 2095.500 2095.500
#> [1282] 2095.500 2091.000 2091.000 2093.500 2092.000 2092.000 2092.000
#> [1289] 2093.000 2093.000 2092.000 2092.000 2093.000 2093.000 2093.000
#> [1296] 2094.000 2094.000 2092.500 2094.000 2094.000 2094.000 2094.000
#> [1303] 2095.000 2093.750 2095.000 2095.000 2096.000 2096.000 2096.000
#> [1310] 2097.500 2092.500 2093.500 2095.000 2095.000 2095.000 2095.000
#> [1317] 2093.500 2096.000 2093.150 2094.000 2094.500 2094.500 2094.500
#> [1324] 2096.000 2096.000 2096.000 2097.000 2099.000 2099.000 2099.000
#> [1331] 2097.500 2100.000 2101.000 2102.000 2102.000 2102.000 2102.000
#> [1338] 2102.000 2102.000 2103.000 2103.000 2106.000 2106.000 2106.000
#> [1345] 2104.500 2102.000 2103.000 2102.750 2104.000 2104.000 2104.000
#> [1352] 2102.000 2101.500 2101.500 2101.000 2102.250 2102.250 2102.250
#> [1359] 2102.600 2102.850 2104.350 2104.650 2105.000 2105.000 2105.000
#> [1366] 2108.000 2104.500 2107.000 2106.500 2109.000 2109.000 2109.000
#> [1373] 2104.500 2103.500 2104.100 2104.500 2105.250 2105.250 2105.250
#> [1380] 2104.750 2104.250 2103.250 2108.000 2103.250 2103.250 2103.250
#> [1387] 2103.000 2108.000 2102.000 2102.350 2102.150 2102.150 2102.150
#> [1394] 2107.000 2100.500 2100.380 2101.150 2101.550 2101.550 2101.550
#> [1401] 2101.450 2100.250 2098.500 2098.700 2098.150 2098.150 2098.150
#> [1408] 2096.600 2094.500 2094.000 2092.500 2089.880 2089.880 2089.880
#> [1415] 2089.500 2097.000 2094.950 2099.130 2100.750 2100.750 2100.750
#> [1422] 2106.500 2104.000 2102.000 2099.250 2099.500 2099.500 2099.500
#> [1429] 2105.000 2103.350 2104.000 2105.130 2104.300 2104.300 2104.300
#> [1436] 2104.250 2102.400 2102.500 2102.750 2107.000 2107.000 2107.000
#> [1443] 2103.500 2103.480 2103.200 2104.050 2103.500 2103.500 2103.500
#> [1450] 2103.000 2108.000 2103.180 2103.500 2104.030 2104.030 2104.030
#> [1457] 2103.630 2104.380 2109.500 2110.500 2111.250 2111.250 2111.250
#> [1464] 2106.250 2105.750 2103.650 2102.250 2100.030 2100.030 2100.030
#> [1471] 2098.000 2101.880 2105.000 2110.880 2119.000 2119.000 2119.000
#> [1478] 2117.250 2109.500 2109.500 2114.830 2115.130 2115.130 2115.130
#> [1485] 2117.380 2117.790 2114.000 2114.000 2113.130 2113.130 2113.130
#> [1492] 2115.250 2113.500 2112.250 2113.500 2113.380 2113.380 2113.380
#> [1499] 2114.500 2114.000 2116.500 2118.250 2119.300 2119.300 2119.300
#> [1506] 2118.500 2117.500 2119.180 2121.500 2128.750 2128.750 2128.750
#> [1513] 2136.250 2147.500 2143.250 2140.130 2146.000 2146.000 2146.000
#> [1520] 2145.130 2146.000 2146.500 2146.500 2146.500 2146.500 2146.500
#> [1527] 2147.500 2148.500 2148.880 2150.380 2150.430 2150.430 2150.430
#> [1534] 2150.430 2150.000 2149.750 2149.500 2148.750 2148.750 2148.750
#> [1541] 2149.000 2148.880 2149.500 2150.500 2150.880 2150.880 2150.880
#> [1548] 2150.500 2152.500 2154.000 2155.000 2155.000 2155.000 2155.000
#> [1555] 2154.630 2156.000 2155.000 2157.500 2158.130 2158.130 2158.130
#> [1562] 2158.130 2158.000 2156.750 2155.630 2159.000 2159.000 2159.000
#> [1569] 2158.250 2158.130 2157.250 2159.750 2160.630 2160.630 2160.630
#> [1576] 2160.250 2160.250 2160.000 2158.500 2156.500 2156.500 2156.500
#> [1583] 2156.500 2154.600 2154.500 2156.250 2158.500 2158.500 2158.500
#> [1590] 2159.500 2161.000 2162.000 2162.000 2162.000 2162.000 2162.000
#> [1597] 2162.930 2162.980 2163.050 2162.200 2163.130 2163.130 2163.130
#> [1604] 2164.000 2164.050 2164.050 2164.130 2164.250 2164.250 2164.250
#> [1611] 2163.980 2164.250 2164.500 2165.650 2166.050 2166.050 2166.050
#> [1618] 2166.930 2166.700 2167.250 2168.000 2167.950 2167.950 2167.950
#> [1625] 2168.000 2166.250 2166.250 2166.750 2167.250 2167.250 2167.250
#> [1632] 2167.780 2167.450 2167.250 2168.250 2168.500 2168.500 2168.500
#> [1639] 2168.500 2168.500 2168.750 2169.980 2170.350 2170.350 2170.350
#> [1646] 2170.500 2170.750 2170.150 2170.650 2169.750 2169.750 2169.750
#> [1653] 2169.000 2167.350 2166.000 2167.200 2166.500 2166.500 2166.500
#> [1660] 2164.570 2163.750 2163.750 2165.500 2167.650 2167.650 2167.650
#> [1667] 2168.000 2167.500 2166.880 2166.000 2165.380 2165.380 2165.380
#> [1674] 2164.000 2161.980 2161.500 2162.820 2162.500 2162.500 2162.500
#> [1681] 2160.750 2161.070 2160.950 2161.750 2160.380 2160.380 2160.380
#> [1688] 2161.070 2161.000 2161.000 2162.250 2161.930 2161.930 2161.930
#> [1695] 2162.070 2167.070 2168.530 2177.500 2175.250 2175.250 2175.250
#> [1702] 2171.500 2171.000 2173.750 2176.380 2176.150 2176.150 2176.150
#> [1709] 2178.000 2179.250 2180.000 2180.500 2179.380 2179.380 2179.380
#> [1716] 2177.000 2175.000 2174.630 2176.500 2176.850 2176.850 2176.850
#> [1723] 2175.750 2173.850 2172.750 2174.250 2175.500 2175.500 2175.500
#> [1730] 2173.500 2173.050 2173.750 2175.000 2176.050 2176.050 2176.050
#> [1737] 2174.500 2172.880 2172.750 2173.750 2173.000 2173.000 2173.000
#> [1744] 2173.150 2173.500 2175.500 2174.500 2173.950 2173.950 2173.950
#> [1751] 2173.300 2172.500 2172.250 2172.750 2172.500 2172.500 2172.500
#> [1758] 2172.500 2172.000 2171.750 2171.750 2171.630 2171.630 2171.630
#> [1765] 2171.130 2170.750 2170.750 2172.250 2172.150 2172.150 2172.150
#> [1772] 2172.070 2172.750 2174.750 2175.250 2177.630 2177.630 2177.630
#> [1779] 2178.450 2178.450 2176.250 2176.150 2176.750 2176.750 2176.750
#> [1786] 2176.250 2176.250 2175.850 2177.280 2177.500 2177.500 2177.500
#> [1793] 2177.070 2177.850 2178.550 2179.250 2179.320 2179.320 2179.320
#> [1800] 2179.500 2187.130 2190.000 2190.070 2189.500 2189.500 2189.500
#> [1807] 2189.360 2188.650 2187.500 2187.750 2187.570 2187.570 2187.570
#> [1814] 2186.630 2186.500 2187.300 2190.150 2190.450 2190.450 2190.450
#> [1821] 2190.450 2194.250 2199.250 2198.500 2198.000 2198.000 2198.000
#> [1828] 2198.000 2194.700 2197.000 2199.500 2197.750 2197.750 2197.750
#> [1835] 2202.000 2207.000 2207.000 2232.500 2275.000 2275.000 2275.000
#> [1842] 2213.500 2210.500 2210.880 2215.500 2216.750 2216.750 2216.750
#> [1849] 2217.630 2219.000 2220.500 2221.000 2220.000 2220.000 2220.000
#> [1856] 2215.000 2217.000 2217.750 2219.500 2219.500 2219.500 2219.500
#> [1863] 2219.000 2219.500 2220.500 2221.000 2222.000 2222.000 2222.000
#> [1870] 2219.500 2219.380 2218.500 2217.500 2217.250 2217.250 2217.250
#> [1877] 2216.000 2215.000 2215.500 2217.000 2215.000 2215.000 2215.000
#> [1884] 2215.500 2216.750 2218.000 2216.000 2215.000 2215.000 2215.000
#> [1891] 2217.000 2216.500 2222.500 2225.600 2226.500 2226.500 2226.500
#> [1898] 2226.500 2226.000 2225.650 2225.500 2226.750 2226.750 2226.750
#> [1905] 2226.500 2226.500 2228.000 2231.130 2232.000 2232.000 2232.000
#> [1912] 2232.250 2231.500 2233.000 2238.000 2238.000 2238.000 2238.000
#> [1919] 2234.000 2229.000 2226.000 2229.000 2231.000 2231.000 2231.000
#> [1926] 2231.500 2231.500 2232.000 2230.500 2231.000 2231.000 2231.000
#> [1933] 2229.000 2227.000 2228.000 2229.000 2229.000 2229.000 2229.000
#> [1940] 2228.000 2229.000 2231.000 2232.500 2233.000 2233.000 2233.000
#> [1947] 2233.500 2232.500 2232.000 2231.500 2230.500 2230.500 2230.500
#> [1954] 2231.000 2226.000 2225.000 2227.000 2232.000 2232.000 2232.000
#> [1961] 2231.500 2227.750 2227.500 2230.000 2229.500 2229.500 2229.500
#> [1968] 2227.000 2226.680 2228.000 2228.000 2229.000 2229.000 2229.000
#> [1975] 2227.500 2227.000 2226.500 2227.500 2226.000 2226.000 2226.000
#> [1982] 2224.000 2223.000 2223.500 2225.000 2224.000 2224.000 2224.000
#> [1989] 2225.000 2225.000 2224.500 2226.750 2230.000 2230.000 2230.000
#> [1996] 2230.750 2229.000 2230.250 2229.750 2230.000 2230.000 2230.000
#> [2003] 2230.000 2230.000 2230.250 2231.000 2227.000 2227.000 2227.000
#> [2010] 2225.750 2226.000 2226.000 2226.000 2226.950 2226.950 2226.950
#> [2017] 2228.000 2228.000 2228.500 2230.000 2229.500 2229.500 2229.500
#> [2024] 2230.000 2230.250 2231.000 2231.000 2232.000 2232.000 2232.000
#> [2031] 2233.000 2235.000 2236.000 2235.000 2234.050 2234.050 2234.050
#> [2038] 2234.000 2235.000 2236.000 2237.000 2236.500 2236.500 2236.500
#> [2045] 2237.000 2237.650 2237.500 2238.750 2238.880 2238.880 2238.880
#> [2052] 2239.000 2244.000 2252.000 2249.500 2251.500 2251.500 2251.500
#> [2059] 2269.500 2274.000 2284.000 2277.500 2267.000 2267.000 2267.000
#> [2066] 2257.500 2262.500 2264.000 2266.500 2267.250 2267.250 2267.250
#> [2073] 2267.000 2275.500 2271.500 2273.000 2278.500 2278.500 2278.500
#> [2080] 2276.500 2277.500 2274.000 2278.000 2276.000 2276.000 2276.000
#> [2087] 2275.000 2272.000 2268.500 2267.500 2268.000 2268.000 2268.000
#> [2094] 2269.500 2267.000 2264.500 2266.000 2266.000 2266.000 2266.000
#> [2101] 2267.000 2266.000 2265.000 2267.500 2268.000 2268.000 2268.000
#> [2108] 2265.000 2263.500 2262.000 2263.000 2264.000 2264.000 2264.000
#> [2115] 2263.000 2262.000 2261.000 2263.000 2271.500 2271.500 2271.500
#> [2122] 2269.000 2268.500 2267.500 2271.000 2277.000 2277.000 2277.000
#> [2129] 2268.000 2271.000 2273.000 2281.000 2282.000 2282.000 2282.000
#> [2136] 2278.500 2276.000 2279.000 2285.000 2283.250 2283.250 2283.250
#> [2143] 2282.000 2286.000 2286.000 2287.000 2285.000 2285.000 2285.000
#> [2150] 2284.000 2283.000 2282.000 2283.000 2284.000 2284.000 2284.000
#> [2157] 2284.000 2283.000 2281.000 2283.500 2284.000 2284.000 2284.000
#> [2164] 2284.000 2283.500 2284.500 2287.500 2288.000 2288.000 2288.000
#> [2171] 2284.500 2283.000 2283.000 2285.500 2285.000 2285.000 2285.000
#> [2178] 2286.000 2287.000 2284.750 2287.000 2287.500 2287.500 2287.500
#> [2185] 2287.500 2288.000 2288.000 2291.500 2286.500 2286.500 2286.500
#> [2192] 2286.500 2286.500 2284.500 2289.000 2288.000 2288.000 2288.000
#> [2199] 2293.000 2293.500 2291.000 2293.000 2292.000 2292.000 2292.000
#> [2206] 2289.500 2288.500 2288.500 2289.000 2288.500 2288.500 2288.500
#> [2213] 2289.000 2292.500 2290.000 2293.000 2292.500 2292.500 2292.500
#> [2220] 2291.800 2291.000 2291.500 2291.000 2291.000 2291.000 2291.000
#> [2227] 2291.000 2291.500 2290.000 2292.000 2294.000 2294.000 2294.000
#> [2234] 2293.500 2293.500 2293.500 2295.500 2301.500 2301.500 2301.500
#> [2241] 2303.500 2301.500 2307.500 2307.000 2312.500 2312.500 2312.500
#> [2248] 2327.500 2319.500 2313.500 2316.500 2314.000 2314.000 2314.000
#> [2255] 2313.500 2315.000 2318.000 2320.000 2323.500 2323.500 2323.500
#> [2262] 2333.000 2333.000 2334.000 2339.500 2335.000 2335.000 2335.000
#> [2269] 2334.000 2338.000 2336.000 2334.500 2337.000 2337.000 2337.000
#> [2276] 2338.500 2334.000 2336.500 2343.000 2337.500 2337.500 2337.500
#> [2283] 2338.000 2333.500 2329.500 2329.000 2329.000 2329.000 2329.000
#> [2290] 2332.000 2332.000 2329.000 2332.000 2331.000 2331.000 2331.000
#> [2297] 2326.500 2327.500 2325.500 2325.500 2327.500 2327.500 2327.500
#> [2304] 2326.000 2327.000 2328.500 2331.500 2327.500 2327.500 2327.500
#> [2311] 2335.000 2329.500 2327.500 2329.500 2329.000 2329.000 2329.000
#> [2318] 2327.500 2326.000 2327.500 2330.500 2330.500 2330.500 2330.500
#> [2325] 2329.500 2328.500 2330.000 2330.500 2330.000 2330.000 2330.000
#> [2332] 2328.000 2328.500 2329.000 2331.500 2330.500 2330.500 2330.500
#> [2339] 2330.500 2330.700 2331.500 2330.500 2332.500 2332.500 2332.500
#> [2346] 2332.500 2332.500 2333.000 2334.500 2334.500 2334.500 2334.500
#> [2353] 2335.900 2335.300 2336.500 2327.500 2325.000 2325.000 2325.000
#> [2360] 2322.250 2323.000 2327.500 2331.000 2328.500 2328.500 2328.500
#> [2367] 2328.000 2328.900 2327.500 2326.500 2327.500 2327.500 2327.500
#> [2374] 2326.000 2327.000 2325.500 2342.500 2341.000 2341.000 2341.000
#> [2381] 2340.000 2336.500 2331.000 2331.000 2332.000 2332.000 2332.000
#> [2388] 2329.500 2328.000 2327.000 2328.500 2330.500 2330.500 2330.500
#> [2395] 2329.000 2328.000 2329.700 2329.000 2333.000 2333.000 2333.000
#> [2402] 2360.000 2348.500 2351.500 2347.000 2343.500 2343.500 2343.500
#> [2409] 2340.000 2338.000 2342.500 2346.500 2341.500 2341.500 2341.500
#> [2416] 2340.000 2339.000 2340.000 2343.000 2343.500 2343.500 2343.500
#> [2423] 2341.500 2340.750 2342.000 2341.000 2344.000 2344.000 2344.000
#> [2430] 2342.500 2341.500 2341.000 2342.500 2342.000 2342.000 2342.000
#> [2437] 2342.500 2344.000 2343.750 2345.000 2347.000 2347.000 2347.000
#> [2444] 2348.000 2348.000 2330.000 2326.000 2323.000 2323.000 2323.000
#> [2451] 2323.000 2321.200 2318.000 2319.500 2319.000 2319.000 2319.000
#> [2458] 2318.200 2318.000 2318.500 2318.700 2318.700 2318.700 2318.700
#> [2465] 2321.500 2326.000 2323.500 2324.500 2323.000 2323.000 2323.000
#> [2472] 2322.000 2320.500 2318.500 2321.000 2321.000 2321.000 2321.000
#> [2479] 2319.000 2321.000 2322.500 2323.500 2323.500 2323.500 2323.500
#> [2486] 2324.500 2325.000 2324.600 2325.000 2327.300 2327.300 2327.300
#> [2493] 2327.700 2327.950 2328.000 2329.320 2328.700 2328.700 2328.700
#> [2500] 2330.000 2330.130 2330.250 2333.500 2334.000 2334.000 2334.000
#> [2507] 2334.250 2336.800 2335.000 2336.000 2336.500 2336.500 2336.500
#> [2514] 2337.000 2338.500 2338.500 2340.500 2345.000 2345.000 2345.000
#> [2521] 2345.500 2345.500 2344.000 2344.000 2345.000 2345.000 2345.000
#> [2528] 2345.000 2346.000 2346.250 2348.000 2351.000 2351.000 2351.000
#> [2535] 2353.000 2352.000 2352.000 2352.700 2353.000 2353.000 2353.000
#> [2542] 2353.000 2352.750 2353.750 2357.500 2360.500 2360.500 2360.500
#> [2549] 2362.500 2363.500 2363.500 2362.500 2363.000 2363.000 2363.000
#> [2556] 2362.000 2362.500 2362.500 2362.000 2362.000 2362.000 2362.000
#> [2563] 2362.250 2362.000 2361.800 2363.000 2363.000 2363.000 2363.000
#> [2570] 2370.500 2378.000 2378.500 2373.500 2372.500 2372.500 2372.500
#> [2577] 2370.500 2370.500 2371.000 2374.000 2374.500 2374.500 2374.500
#> [2584] 2371.750 2372.000 2371.500 2375.000 2376.500 2376.500 2376.500
#> [2591] 2373.000 2374.000 2374.000 2377.000 2377.500 2377.500 2377.500
#> [2598] 2377.500 2377.500 2377.000 2379.750 2381.500 2381.500 2381.500
#> [2605] 2384.000 2386.000 2388.500 2388.000 2388.000 2388.000 2388.000
#> [2612] 2392.000 2389.000 2390.000 2393.000 2406.000 2406.000 2406.000
#> [2619] 2396.000 2393.000 2393.000 2395.000 2409.000 2409.000 2409.000
#> [2626] 2410.000 2410.000 2412.000 2411.000 2412.000 2412.000 2412.000
#> [2633] 2413.000 2413.000 2412.000 2413.000 2415.000 2415.000 2415.000
#> [2640] 2415.000 2416.000 2418.000 2418.000 2418.000 2418.000 2418.000
#> [2647] 2418.000 2419.000 2418.000 2419.000 2419.000 2419.000 2419.000
#> [2654] 2421.000 2422.000 2422.000 2423.000 2423.000 2423.000 2423.000
#> [2661] 2424.000 2425.000 2425.000 2426.000 2426.000 2426.000 2426.000
#> [2668] 2426.000 2427.000 2428.000 2431.000 2437.000 2437.000 2437.000
#> [2675] 2430.000 2430.000 2433.000 2433.000 2433.000 2433.000 2433.000
#> [2682] 2431.000 2432.000 2432.000 2432.000 2431.000 2431.000 2431.000
#> [2689] 2430.000 2431.000 2434.000 2438.000 2433.000 2433.000 2433.000
#> [2696] 2442.000 2443.000 2444.000 2444.000 2443.000 2443.000 2443.000
#> [2703] 2440.000 2439.000 2444.000 2442.000 2440.000 2440.000 2440.000
#> [2710] 2441.000 2442.000 2442.000 2442.000 2443.000 2443.000 2443.000
#> [2717] 2443.000 2443.000 2444.000 2445.000 2445.000 2445.000 2445.000
#> [2724] 2446.000 2446.000 2446.000 2447.000 2448.000 2448.000 2448.000
#> [2731] 2448.000 2448.000 2448.000 2449.000 2449.000 2449.000 2449.000
#> [2738] 2450.000 2451.000 2451.000 2451.000 2451.000 2451.000 2451.000
#> [2745] 2452.000 2453.000 2453.000 2454.000 2431.000 2431.000 2431.000
#> [2752] 2457.000 2449.000 2461.000 2461.000 2489.000 2489.000 2489.000
#> [2759] 2619.000 2600.000 2573.000 2590.000 2616.000 2616.000 2616.000
#> [2766] 2595.000 2583.000 2580.000 2599.000 2609.000 2609.000 2609.000
#> [2773] 2604.000 2600.000 2596.000 2591.000 2597.000 2597.000 2597.000
#> [2780] 2612.000 2640.000 2653.000 2653.000 2653.000 2653.000 2653.000
#> [2787] 2935.000 2935.000 2875.000 2705.000 2725.000 2725.000 2725.000
#> [2794] 2690.000 2755.000 2850.000 2940.000 3035.000 3035.000 3035.000
#> [2801] 2935.000 2995.000 3030.000 3040.000 2990.000 2990.000 2990.000
#> [2808] 2943.000 2909.000 2923.000 2944.000 2950.000 2950.000 2950.000
#> [2815] 2941.000 2944.000 2984.000 2965.000 2985.000 2985.000 2985.000
#> [2822] 3030.000 3015.000 2980.000 3029.000 3085.000 3085.000 3085.000
#> [2829] 3178.000 3275.000 3355.000 3395.000 3540.000 3540.000 3540.000
#> [2836] 3810.000 3645.000 3655.000 3575.000 3472.000 3472.000 3472.000
#> [2843] 3475.000 3475.000 3490.000 3615.000 3673.000 3673.000 3673.000
#> [2850] 3685.000 3630.000 3663.000 3660.000 3618.000 3618.000 3618.000
#> [2857] 3575.000 3625.000 3643.000 3630.000 3670.000 3670.000 3670.000
#> [2864] 3380.000 3230.000 3325.000 3330.000 3295.000 3295.000 3295.000
#> [2871] 3315.000 3320.000 3335.000 3365.000 3435.000 3435.000 3435.000
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#> [4418] 10314.403 10302.534 10327.389 10274.157 10251.762 10251.762 10251.762
#> [4425] 10208.847 10176.751 10187.504 10227.654 10248.191 10248.191 10248.191
#> [4432] 10232.656 10185.009 10185.257 10203.827 10204.493 10204.493 10204.493
#> [4439] 10178.668 10175.006 10185.443 10149.416 10101.164 10101.164 10101.164
#> [4446] 10072.760 9982.135 9955.579 9937.962 10012.732 10012.732 10012.732
#> [4453] 9945.006 9969.438 9973.861 9981.802 10003.479 10003.479 10003.479
#> [4460] 9969.939 9965.002 9891.445 9870.001 9826.117 9826.117 9826.117
#> [4467] 9706.667 9576.102 9659.456 9823.877 9823.877 9823.877 9823.877
#> [4474] 9823.877 9767.790 9803.067 9655.557 9589.369 9589.369 9589.369
#> [4481] 9549.180 9669.976 9581.644 9549.466 9544.462 9544.462 9544.462
#> [4488] 9390.741 9447.325 9431.070 9393.176 9350.461 9350.461 9350.461
#> [4495] 9350.980 9430.005 9325.000 9373.665 9306.566 9306.566 9306.566
#> [4502] 9320.370 9331.561 9331.561 9340.523 9307.960 9307.960 9307.960
#> [4509] 9289.009 9294.071 9283.363 9286.547 9284.492 9284.492 9284.492
#> [4516] 9276.497 9270.007 9239.491 9154.011 9088.014 9088.014 9088.014
#> [4523] 9032.145 9032.063 9065.497 8949.853 8960.916 8960.916 8960.916
#> [4530] 8905.005 8867.509 8849.528 8839.701 8691.946 8691.946 8691.946
#> [4537] 8546.387 8654.139 8927.393 9048.871 8895.006 8895.006 8895.006
#> [4544] 8730.003 8778.730 8739.632 8748.147 8730.460 8730.460 8730.460
#> [4551] 8687.078 8658.657 8624.558 8600.897 8633.136 8633.136 8633.136
#> [4558] 8593.344 8654.829 8676.939 8645.277 8713.875 8713.875 8713.875
#> [4565] 8701.221 8800.081 8968.211 8851.389 8870.026 8870.026 8870.026
#> [4572] 8900.458 8910.453 8890.857 9136.499 9080.057 9080.057 9080.057
#> [4579] 9043.895 9036.882 8938.444 8965.450 8967.219 8967.219 8967.219
#> [4586] 8819.691 9002.281 9063.873 9002.756 9148.631 9148.631 9148.631
#> [4593] 9258.487 9118.719 9064.040 9147.029 9077.758 9077.758 9077.758
#> [4600] 9087.505 9085.943 9055.805 8992.330 8987.707 8987.707 8987.707
#> [4607] 8855.879 8884.529 8779.903 8864.304 8817.242 8817.242 8817.242
#> [4614] 8847.056 8842.749 8883.200 8844.555 8887.965 8887.965 8887.965
#> [4621] 8924.482 8888.418 8885.549 8865.458 8854.551 8854.551 8854.551
#> [4628] 8849.761 8841.615 8869.559 8860.782 8874.027 8874.027 8874.027
#> [4635] 8859.383 8872.367 8890.727 8919.504 8981.865 8981.865 8981.865
#> [4642] 9049.551 9063.758 9002.324 8996.495 9032.043 9032.043 9032.043
#> [4649] 9075.008 9026.465 8991.250 9005.870 9016.116 9016.116 9016.116
#> [4656] 8994.462 8998.631 9005.633 9014.965 9013.127 9013.127 9013.127
#> [4663] 9008.116 8998.112 8998.798 9007.727 9008.370 9008.370 9008.370
#> [4670] 9346.693 9284.801 9194.472 9150.487 9217.319 9217.319 9217.319
#> [4677] 9196.307 9334.531 9210.292 9215.948 9241.217 9241.217 9241.217
#> [4684] 9224.002 9209.847 9228.885 9230.474 9217.145 9217.145 9217.145
#> [4691] 9210.117 9201.786 9212.396 9202.247 9186.633 9186.633 9186.633
#> [4698] 9150.168 9075.002 9046.553 9028.400 9030.153 9030.153 9030.153
#> [4705] 8998.132 8964.346 8964.817 9008.322 8989.036 8989.036 8989.036
#> [4712] 8975.457 8994.097 8975.904 8987.477 8977.959 8977.959 8977.959
#> [4719] 8983.416 8980.004 8992.244 9005.745 8987.757 8987.757 8987.757
#> [4726] 8978.837 8979.725 8890.742 8864.888 8875.443 8875.443 8875.443
#> [4733] 8816.295 8881.294 8906.064 8896.301 8893.203 8893.203 8893.203
#> [4740] 8883.029 8889.569 8889.569 8889.569 8919.651 8919.651 8919.651
#> [4747] 8952.149 8951.283 8951.283 8928.968 8930.514 8930.514 8930.514
#> [4754] 8932.799 8928.000 8929.575 8933.777 8916.652 8916.652 8916.652
#> [4761] 8872.007 8874.605 8865.419 8864.199 8868.757 8868.757 8868.757
#> [4768] 8872.918 8885.422 8843.021 8887.738 8894.566 8894.566 8894.566
#> [4775] 8892.907 8857.874 8848.776 8869.594 8872.467 8872.467 8872.467
#> [4782] 8875.170 8870.006 8863.346 8870.637 8870.146 8870.146 8870.146
#> [4789] 8880.413 8962.909 8967.934 8945.417 8929.510 8929.510 8929.510
#> [4796] 8906.252 8878.747 8880.414 8848.704 8915.916 8915.916 8915.916
#> [4803] 8892.100 8882.551 8887.092 8898.327 8884.734 8884.734 8884.734
#> [4810] 8885.556 8852.166 8869.387 8863.176 8888.631 8888.631 8888.631
#> [4817] 8882.603 8880.099 8901.777 8904.593 8917.921 8917.921 8917.921
#> [4824] 8969.586 9042.566 9086.641 9035.763 8978.443 8978.443 8978.443
#> [4831] 8950.846 8899.588 8915.421 8899.590 8912.917 8912.917 8912.917
#> [4838] 8901.505 8895.409 8883.592 8885.358 8897.901 8897.901 8897.901
#> [4845] 8886.023 8873.752 8865.742 8850.551 8882.878 8882.878 8882.878
#> [4852] 8853.674 8841.682 8807.097 8727.802 8727.802 8727.802 8727.802
#> [4859] 8727.802 8751.554 8729.605 8733.421 8743.589 8743.589 8743.589
#> [4866] 8734.041 8717.433 8672.339 8672.339 8651.259 8651.259 8651.259
#> [4873] 8582.501 8601.904 8497.663 8546.874 8560.003 8560.003 8560.003
#> [4880] 8415.004 8437.628 8450.370 8453.325 8462.583 8462.583 8462.583
#> [4887] 8408.196 8389.282 8315.365 8338.916 8271.408 8271.408 8271.408
#> [4894] 8175.349 8178.632 8240.356 8355.333 8314.575 8314.575 8314.575
#> [4901] 8266.373 8216.054 8151.116 8217.214 8190.781 8190.781 8190.781
#> [4908] 8189.246 8210.001 8227.647 8259.656 8213.956 8213.956 8213.956
#> [4915] 8199.654 8183.267 8232.704 8242.565 8225.706 8225.706 8225.706
#> [4922] 8234.292 8219.645 8223.357 8264.276 8277.175 8277.175 8277.175
#> [4929] 8271.454 8237.139 8220.000 8224.282 8181.572 8181.572 8181.572
#> [4936] 8175.062 8221.817 8195.500 8218.004 8214.635 8214.635 8214.635
#> [4943] 8226.100 8221.415 8234.243 8260.342 8329.630 8329.630 8329.630
#> [4950] 8308.898 8416.116 8605.385 8590.381 8505.376 8505.376 8505.376
#> [4957] 8528.514 8614.378 8508.888 8510.382 8543.451 8543.451 8543.451
#> [4964] 8497.011 8627.671 8600.527 8585.757 8563.385 8563.385 8563.385
#> [4971] 8536.220 8533.115 8545.003 8552.280 8540.802 8540.802 8540.802
#> [4978] 8536.620 8475.120 8415.735 8393.433 8429.227 8429.227 8429.227
#> [4985] 8441.945 8464.617 8466.123 8520.115 8488.112 8488.112 8488.112
#> [4992] 8471.163 8470.394 8465.399 8486.291 8484.620 8484.620 8484.620
#> [4999] 8482.703 8460.718 8422.753 8465.008 8454.019 8454.019 8454.019
#> [5006] 8464.507 8461.504 8474.768 8490.124 8466.849 8466.849 8466.849
#> [5013] 8443.931 8416.103 8439.107 8440.303 8437.869 8437.869 8437.869
#> [5020] 8415.894 8397.168 8384.003 8376.437 8371.077 8371.077 8371.077
#> [5027] 8388.350 8386.072 8364.485 8376.493 8381.065 8381.065 8381.065
#> [5034] 8375.573 8435.654 8425.366 8445.372 8440.366 8440.366 8440.366
#> [5041] 8429.280 8449.368 8466.085 8480.723 8493.753 8493.753 8493.753
#> [5048] 8551.004 8582.575 8529.639 8483.257 8498.331 8498.331 8498.331
#> [5055] 8519.104 8505.371 8475.743 8492.279 8486.651 8486.651 8486.651
#> [5062] 8478.525 8480.656 8479.466 8527.560 8498.249 8498.249 8498.249
#> [5069] 8487.367 8481.083 8477.414 8552.876 8518.581 8518.581 8518.581
#> [5076] 8516.781 8518.596 8518.228 8516.434 8506.070 8506.070 8506.070
#> [5083] 8502.671 8492.860 8491.357 8498.203 8492.546 8492.546 8492.546
#> [5090] 8493.804 8493.506 8491.764 8487.561 8472.238 8472.238 8472.238
#> [5097] 8480.237 8484.594 8492.502 8494.477 8494.895 8494.895 8494.895
#> [5104] 8491.185 8498.846 8494.664 8494.664 8494.664 8494.664 8494.664
#> [5111] 8432.139 8478.337 8426.841 8426.841 8448.324 8448.324 8448.324
#> [5118] 8388.978 8334.635 8363.988 8341.705 8333.603 8333.603 8333.603
#> [5125] 8302.089 8333.273 8342.019 8368.643 8348.331 8348.331 8348.331
#> [5132] 8376.829 8401.005 8403.339 8335.240 8404.672 8404.672 8404.672
#> [5139] 8457.996 8427.850 8419.518 8431.858 8457.817 8457.817 8457.817
#> [5146] 8460.196 8449.019 8456.412 8453.366 8462.543 8462.543 8462.543
#> [5153] 8441.996 8390.403 8416.664 8408.999 8402.832 8402.832 8402.832
#> [5160] 8388.643 8404.620 8401.677 8467.707 8439.335 8439.335 8439.335
#> [5167] 8439.671 8455.863 8440.336 8470.347 8451.941 8451.941 8451.941
#> [5174] 8462.840 8491.711 8567.471 8560.640 8595.743 8595.743 8595.743
#> [5181] 8584.501 8554.502 8588.145 8635.281 8658.937 8658.937 8658.937
#> [5188] 8638.907 8608.607 8562.150 8538.749 8559.729 8559.729 8559.729
#> [5195] 8561.119 8587.203 8571.491 8614.730 8612.462 8612.462 8612.462
#> [5202] 8609.275 8611.389 8565.249 8582.216 8572.650 8572.650 8572.650
#> [5209] 8590.372 8577.924 8585.819 8591.534 8591.534 8591.534 8591.534
#> [5216] 8591.534 8595.733 8603.506 8635.762 8621.312 8621.312 8621.312
#> [5223] 8603.570 8614.531 8650.870 8651.183 8619.781 8619.781 8619.781
#> [5230] 8627.593 8622.100 8643.042 8704.211 8785.879 8785.879 8785.879
#> [5237] 8705.371 8720.811 8694.994 8705.720 8733.057 8733.057 8733.057
#> [5244] 8975.378 8991.910 8954.154 8995.627 9035.384 9035.384 9035.384
#> [5251] 9010.006 9071.142 9048.870 9052.424 8970.410 8970.410 8970.410
#> [5258] 9122.293 9265.390 9257.500 9289.412 9270.382 9270.382 9270.382
#> [5265] 9272.446 9365.391 9445.772 9444.618 9450.389 9450.389 9450.389
#> [5272] 9316.138 9248.503 9283.096 9368.063 9381.568 9381.568 9381.568
#> [5279] 9388.518 9414.613 9401.883 9395.002 9407.349 9407.349 9407.349
#> [5286] 9400.223 9410.396 9422.611 9420.393 9417.112 9417.112 9417.112
#> [5293] 9420.388 9405.777 9400.387 9296.146 9148.255 9148.255 9148.255
#> [5300] 9144.523 8990.365 9004.273 8993.367 8921.807 8921.807 8921.807
#> [5307] 8815.713 8936.809 8958.622 8970.042 8913.195 8913.195 8913.195
#> [5314] 8959.281 8976.092 9016.835 9059.716 9082.610 9082.610 9082.610
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#> [5356] 9336.341 9375.006 9316.913 9270.383 9264.624 9264.624 9264.624
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#> [5419] 9086.649 9097.867 9126.792 9071.446 9071.469 9071.469 9071.469
#> [5426] 8953.000 9003.052 9044.748 9067.812 9039.300 9039.300 9039.300
#> [5433] 8989.657 8992.699 8999.079 8997.697 9002.849 9002.849 9002.849
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#> [5937] 9027.497 8989.998 9014.998 9005.003 8989.999 8989.999 8989.999
#> [5944] 8982.503 8995.002 9007.497 8987.498 8987.498 8987.498 8987.498
#> [5951] 8987.498 8982.501 8904.998 8884.999 8885.002 8885.002 8885.002
#> [5958] 8837.000 8812.998 8812.499 8802.997 8807.003 8807.003 8807.003
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#> [7547] 9018.000 9047.177 8993.414 9007.435 9002.221 9002.221 9002.221
#> [7554] 8989.172 9018.934 8993.526 8957.924 8946.090 8946.090 8946.090
#> [7561] 8933.201 8964.521 8972.238 8961.026 8969.005 8969.005 8969.005
#> [7568] 8977.811 8964.040 8947.029 8962.636 8954.831 8954.831 8954.831
#> [7575] 8947.102 8955.996 8927.500 8919.578 8911.555 8911.555 8911.555
#> [7582] 8936.914 8933.730 8918.606 8924.624 8932.565 8932.565 8932.565
#> [7589] 8925.868 8938.914 8928.013 8917.658 8894.045 8894.045 8894.045
#> [7596] 8932.412 8937.182 8938.720 8932.948 8940.390 8940.390 8940.390
#> [7603] 8898.453 8920.896 8940.419 8936.068 8936.920 8936.920 8936.920
#> [7610] 8922.059 8925.139 8917.911 8889.181 8904.757 8904.757 8904.757
#> [7617] 8907.178 8907.372 8891.532 8909.971 8923.988 8923.988 8923.988
#> [7624] 8962.498 8960.726 9005.400 8942.405 8962.469 8962.469 8962.469
#> [7631] 8933.868 8987.330 8966.159 8966.789 9013.217 9013.217 9013.217
#> [7638] 9027.674 9051.462 9006.504 9013.356 9002.393 9002.393 9002.393
#> [7645] 9023.991 9002.941 9024.212 9020.009 9021.036 9021.036 9021.036
#> [7652] 9015.633 9009.646 9027.807 9037.838 9031.923 9031.923 9031.923
#> [7659] 9040.846 9041.536 9042.381 9051.041 9040.400 9040.400 9040.400
#> [7666] 9033.382 9017.757 9000.266 8985.813 8982.293 8982.293 8982.293
#> [7673] 8974.895 8981.127 8977.674 8997.067 9029.589 9029.589 9029.589
#> [7680] 9097.745 9079.719 9030.941 9066.922 9012.375 9012.375 9012.375
#> [7687] 9079.318 9052.412 9054.398 9062.671 9060.905 9060.905 9060.905
#> [7694] 9077.467 9051.089 9038.162 9034.216 9029.446 9029.446 9029.446
#> [7701] 9057.391 9028.499 9028.769 9048.250 8957.993 8957.993 8957.993
#> [7708] 8938.693 8914.851 8925.126 8942.899 8952.595 8952.595 8952.595
#> [7715] 8912.894 8893.819 8888.816 8876.099 8854.098 8854.098 8854.098
#> [7722] 8849.824 8876.396 8853.244 8871.989 8837.415 8837.415 8837.415
#> [7729] 8816.322 8798.199 8814.375 8805.798 8802.486 8802.486 8802.486
#> [7736] 8783.312 8786.962 8771.934 8782.529 8780.600 8780.600 8780.600
#> [7743] 8762.188 8826.448 8775.600 8782.434 8771.309 8771.309 8771.309
#> [7750] 8726.997 8713.419 8709.762 8702.845 8716.514 8716.514 8716.514
#> [7757] 8717.154 8714.091 8735.806 8704.688 8701.131 8701.131 8701.131
#> [7764] 8667.999 8655.923 8651.594 8672.660 8648.344 8648.344 8648.344
#> [7771] 8653.014 8652.564 8656.841 8689.216 8664.547 8664.547 8664.547
#> [7778] 8674.935 8685.925 8649.439 8628.977 8628.977 8628.977 8628.977
#> [7785] 8628.977 8647.205 8625.443 8583.432 8565.444 8565.444 8565.444
#> [7792] 8542.185 8552.673 8551.982 8594.701 8578.477 8578.477 8578.477
#> [7799] 8559.436 8554.053 8522.874 8597.082 8555.749 8555.749 8555.749
#> [7806] 8600.403 8576.212 8561.805 8553.158 8545.691 8545.691 8545.691
#> [7813] 8590.563 8568.720 8594.698 8583.830 8569.618 8569.618 8569.618
#> [7820] 8547.078 8542.913 8542.060 8542.704 8525.380 8525.380 8525.380
#> [7827] 8517.820 8511.923 8511.918 8522.499 8520.592 8520.592 8520.592
#> [7834] 8548.363 8536.711 8548.790 8607.652 8596.391 8596.391 8596.391
#> [7841] 8617.808 8600.313 8597.381 8602.589 8602.560 8602.560 8602.560
#> [7848] 8623.717 8628.743 8605.179 8577.742 8538.798 8538.798 8538.798
#> [7855] 8523.276 8532.204 8548.869 8545.490 8519.351 8519.351 8519.351
#> [7862] 8538.240 8581.510 8542.827 8537.502 8541.559 8541.559 8541.559
#> [7869] 8561.310 8546.264 8538.192 8545.985 8527.086 8527.086 8527.086
#> [7876] 8524.374 8506.883 8481.531 8502.833 8505.323 8505.323 8505.323
#> [7883] 8458.633 8484.347 8477.951 8510.872 8577.647 8577.647 8577.647
#> [7890] 8549.385 8587.608 8532.505 8558.799 8561.621 8561.621 8561.621
#> [7897] 8539.856 8529.283 8516.585 8552.349 8564.936 8564.936 8564.936
#> [7904] 8544.370 8543.445 8558.089 8595.681 8568.095 8568.095 8568.095
#> [7911] 8547.380 8544.279 8529.848 8512.916 8531.610 8531.610 8531.610
#> [7918] 8537.597 8559.174 8561.157 8561.649 8600.905 8600.905 8600.905
#> [7925] 8621.441 8707.629 8783.560 8786.546 8777.180 8777.180 8777.180
#> [7932] 8960.032 8902.174 9077.699 9106.559 9072.509 9072.509 9072.509
#> [7939] 9088.319 8952.147 8967.992 8945.869 9074.998 9074.998 9074.998
#> [7946] 8897.006 8901.290 8910.332 8922.353 8893.978 8893.978 8893.978
#> [7953] 8919.606 8936.422 8906.102 8872.616 8857.362 8857.362 8857.362
#> [7960] 8817.603 8819.326 8799.407 8822.764 8862.183 8862.183 8862.183
#> [7967] 8849.206 8846.954 8874.639 8820.067 8791.172 8791.172 8791.172
#> [7974] 8854.596 8895.171 8930.328 8967.676 8950.977 8950.977 8950.977
#> [7981] 8960.108 8925.232 8909.044 8969.675 8963.604 8963.604 8963.604
#> [7988] 8964.902 8993.999 9023.962 9015.007 9019.343 9019.343 9019.343
#> [7995] 9023.094 9052.006 9047.808 9183.384 9066.982 9066.982 9066.982
#> [8002] 9127.532 9156.711 9111.023 8995.331 9005.477 9005.477 9005.477
#> [8009] 9033.001 9052.404 9031.315 8997.010 9044.523 9044.523 9044.523
#> [8016] 9046.661 9108.019 9200.216 9110.354 9036.314 9036.314 9036.314
#> [8023] 9069.047 9085.727 9070.959 9059.998 9055.733 9055.733 9055.733
#> [8030] 9055.733 9204.683 9198.593 9202.824 9066.752 9066.752 9066.752
#> [8037] 9079.242 9234.440 9147.475 9196.439 9105.002 9105.002 9105.002
#> [8044] 9148.358 9152.319 9160.206 9172.338 9161.812 9161.812 9161.812
#> [8051] 9200.111 9105.356 9052.124 8977.252 8945.784 8945.784 8945.784
#> [8058] 8945.517 9002.807 8891.717 8958.380 8983.895 8983.895 8983.895
#> [8065] 9029.634 8982.665 8977.973 8955.292 8970.866 8970.866 8970.866
#> [8072] 8985.033 8992.504 8883.336 8922.103 8983.706 8983.706 8983.706
#> [8079] 8998.665 9003.288 8997.235 9013.434 9034.266 9034.266 9034.266
#> [8086] 8996.359 8991.227 9052.714 9061.338 9148.814 9148.814 9148.814
#> [8093] 9147.005 9027.806 9044.499 9087.320 9094.348 9094.348 9094.348
#> [8100] 9129.758 9184.422 9175.000 9136.037 9133.348 9133.348 9133.348
#> [8107] 9155.294 9174.052 9169.652 9171.349 9146.874 9146.874 9146.874
#> [8114] 9124.350 9155.736 9155.002 9169.355 9158.420 9158.420 9158.420
#> [8121] 9177.727 9156.656 9172.033 9165.454 9168.344 9168.344 9168.344
#> [8128] 9141.032 9138.348 9153.744 9141.353 9141.353 9141.353 9141.353
#> [8135] 9141.353 9161.446 9155.350 9165.438 9138.569 9138.569 9138.569
#> [8142] 9173.610 9177.429 9179.562 9181.003 9179.018 9179.018 9179.018
#> [8149] 9185.294 9190.464 9200.333 9187.045 9185.698 9185.698 9185.698
#> [8156] 9186.575 9186.575 9203.655 9250.918 9222.152 9222.152 9222.152
#> [8163] 9207.941 9215.040 9229.004 9223.347 9188.358 9188.358 9188.358
#> [8170] 9248.076 9263.560 9242.000 9243.826 9361.764 9361.764 9361.764
#> [8177] 9302.910 9275.587 9311.636 9419.997 9522.700 9522.700 9522.700
#> [8184] 9401.974 9491.791 9628.799 9526.808 9513.236 9513.236 9513.236
#> [8191] 9431.945 9441.588 9380.849 9419.698 9469.618 9469.618 9469.618
#> [8198] 9436.599 9422.270 9434.474 9437.065 9418.569 9418.569 9418.569
#> [8205] 9410.604 9426.745 9443.805 9458.224 9452.436 9452.436 9452.436
#> [8212] 9478.379 9476.152 9473.377 9472.145 9434.877 9434.877 9434.877
#> [8219] 9387.302 9378.998 9354.116 9367.383 9436.382 9436.382 9436.382
#> [8226] 9421.964 9432.609 9428.157 9471.005 9477.169 9477.169 9477.169
#> [8233] 9469.171 9450.346 9471.187 9446.976 9458.943 9458.943 9458.943
#> [8240] 9480.397 9488.171 9495.022 9479.918 9466.615 9466.615 9466.615
#> [8247] 9465.385 9448.543 9447.268 9465.965 9471.123 9471.123 9471.123
#> [8254] 9468.301 9464.772 9472.917 9472.458 9486.503 9486.503 9486.503
#> [8261] 9490.234 9489.848 9505.384 9496.197 9506.622 9506.622 9506.622
#> [8268] 9501.220 9490.328 9500.811 9484.250 9513.560 9513.560 9513.560
#> [8275] 9521.006 9537.137 9554.508 9561.511 9549.195 9549.195 9549.195
#> [8282] 9553.827 9573.623 9579.067 9568.808 9577.042 9577.042 9577.042
#> [8289] 9571.110 9571.878 9571.487 9585.856 9505.361 9505.361 9505.361
#> [8296] 9467.179 9506.366 9542.647 9549.406 9555.182 9555.182 9555.182
#> [8303] 9562.891 9577.908 9594.877 9581.731 9575.298 9575.298 9575.298
#> [8310] 9579.079 9581.114 9589.856 9589.074 9589.263 9589.263 9589.263
#> [8317] 9598.850 9608.153 9609.116 9590.742 9590.409 9590.409 9590.409
#> [8324] 9602.413 9593.630 9586.479 9604.681 9609.636 9609.636 9609.636
#> [8331] 9609.332 9615.632 9610.369 9607.373 9644.267 9644.267 9644.267
#> [8338] 9606.117 9615.113 9606.373 9622.597 9624.981 9624.981 9624.981
#> [8345] 9624.849 9619.477 9612.380 9628.628 9628.139 9628.139 9628.139
#> [8352] 9614.338 9628.151 9625.585 9623.871 9629.282 9629.282 9629.282
#> [8359] 9628.867 9636.763 9634.627 9636.120 9623.371 9623.371 9623.371
#> [8366] 9620.997 9601.373 9621.635 9612.367 9603.334 9603.334 9603.334
#> [8373] 9600.130 9609.632 9630.318 9632.642 9622.611 9622.611 9622.611
#> [8380] 9630.936 9635.373 9630.997 9634.182 9639.187 9639.187 9639.187
#> [8387] 9640.365 9643.125 9649.820 9653.186 9658.634 9658.634 9658.634
#> [8394] 9655.667 9655.667 9655.667 9664.126 9637.632 9637.632 9637.632
#> [8401] 9636.176 9636.176 9767.690 9653.961 9659.998 9659.998 9659.998
#> [8408] 9667.367 9670.702 9660.371 9661.107 9635.091 9635.091 9635.091
#> [8415] 9636.362 9645.292 9655.916 9649.641 9630.134 9630.134 9630.134
#> [8422] 9616.640 9629.639 9627.082 9624.646 9651.281 9651.281 9651.281
#> [8429] 9678.362 9680.079 9747.441 9698.362 9712.357 9712.357 9712.357
#> [8436] 9675.930 9673.177 9704.639 9703.639 9669.568 9669.568 9669.568
#> [8443] 9610.925 9644.642 9645.319 9659.638 9670.019 9670.019 9670.019
#> [8450] 9678.752 9705.686 9679.088 9712.582 9707.000 9707.000 9707.000
#> [8457] 9705.006 9707.662 9693.373 9674.857 9693.115 9693.115 9693.115
#> [8464] 9715.115 9699.816 9696.172 9694.420 9683.782 9683.782 9683.782
#> [8471] 9694.628 9688.631 9691.110 9703.625 9706.113 9706.113 9706.113
#> [8478] 9712.453 9718.912 9724.705 9739.132 9754.132 9754.132 9754.132
#> [8485] 9740.379 9736.132 9733.717 9721.171 9721.171 9721.171 9721.171
#> [8492] 9721.171 9739.206 9747.591 9757.622 9745.913 9745.913 9745.913
#> [8499] 9747.124 9722.117 9688.629 9709.482 9707.723 9707.723 9707.723
#> [8506] 9718.370 9719.522 9711.928 9717.118 9708.486 9708.486 9708.486
#> [8513] 9716.867 9724.788 9716.869 9716.888 9719.994 9719.994 9719.994
#> [8520] 9718.394 9719.477 9719.477 9737.184 9741.223 9741.223 9741.223
#> [8527] 9734.005 9736.034 9729.334 9725.110 9736.603 9736.603 9736.603
#> [8534] 9739.220 9741.851 9755.309 9758.138 9755.948 9755.948 9755.948
#> [8541] 9762.764 9762.273 9764.861 9783.271 9796.136 9796.136 9796.136
#> [8548] 9796.932 9800.348 9801.621 9812.006 9797.378 9797.378 9797.378
#> [8555] 9804.720 9804.873 9806.130 9794.123 9802.413 9802.413 9802.413
#> [8562] 9961.988 9823.408 9859.629 9880.368 9877.110 9877.110 9877.110
#> [8569] 9886.631 9904.628 9907.631 9924.379 9930.379 9930.379 9930.379
#> [8576] 9932.141 9927.867 9963.913 9926.381 9923.861 9923.861 9923.861
#> [8583] 9953.494 9934.386 9940.157 9940.380 9975.316 9975.316 9975.316
#> [8590] 9956.163 9957.385 9965.387 9967.380 9990.617 9990.617 9990.617
#> [8597] 10017.153 10122.290 10043.202 10125.609 10077.581 10077.581 10077.581
#> [8604] 10064.849 10224.052 10280.349 10272.906 10275.385 10275.385 10275.385
#> [8611] 10269.231 10273.886 10261.070 10279.609 10286.730 10286.730 10286.730
#> [8618] 10285.389 10283.840 10284.615 10287.388 10279.384 10279.384 10279.384
#> [8625] 10299.164 10301.144 10320.615 10403.392 10505.397 10505.397 10505.397
#> [8632] 10559.607 10728.599 10837.201 11137.582 11024.934 11024.934 11024.934
#> [8639] 11124.998 11331.429 11210.002 11149.623 11272.021 11272.021 11272.021
#> [8646] 11386.386 11456.567 11452.001 11604.704 11558.619 11558.619 11558.619
#> [8653] 11458.216 11310.279 11342.282 11166.215 11223.422 11223.422 11223.422
#> [8660] 11122.123 11182.420 11086.908 10858.287 11080.413 11080.413 11080.413
#> [8667] 11164.577 11244.704 11476.274 11241.418 11327.916 11327.916 11327.916
#> [8674] 11421.896 11354.663 11324.580 11301.089 11242.412 11242.412 11242.412
#> [8681] 11218.590 11161.638 11149.412 11127.003 10902.794 10902.794 10902.794
#> [8688] 10920.599 10939.458 10987.479 10859.003 11328.756 11328.756 11328.756
#> [8695] 10876.001 10836.588 10967.001 10837.783 11014.764 11014.764 11014.764
#> [8702] 11052.438 11102.622 11106.209 11271.417 11335.209 11335.209 11335.209
#> [8709] 11354.620 11354.076 11282.415 11394.388 11409.150 11409.150 11409.150
#> [8716] 11560.004 11516.289 11419.933 11394.634 11620.000 11620.000 11620.000
#> [8723] 11632.574 11597.497 11511.067 11702.501 11473.199 11473.199 11473.199
#> [8730] 11749.304 11762.973 11796.433 11790.127 11740.908 11740.908 11740.908
#> [8737] 11769.999 11743.298 11900.316 11950.706 11930.437 11930.437 11930.437
#> [8744] 11835.228 11906.196 11912.363 12048.174 12017.316 12017.316 12017.316
#> [8751] 11982.876 11979.999 12069.881 12091.447 12194.376 12194.376 12194.376
#> [8758] 12120.559 12147.340 12147.340 12147.340 12183.792 12183.792 12183.792
#> [8765] 12217.311 12156.319 12156.319 12152.548 12126.449 12126.449 12126.449
#> [8772] 12164.557 12045.459 12043.218 12190.001 12015.750 12015.750 12015.750
#> [8779] 11833.741 11845.475 12085.043 12121.063 12092.896 12092.896 12092.896
#> [8786] 12093.823 12135.014 12142.319 12165.225 12162.446 12162.446 12162.446
#> [8793] 12166.335 12142.443 12160.758 12193.451 12181.548 12181.548 12181.548
#> [8800] 12239.954 12202.774 12151.503 12192.405 12161.139 12161.139 12161.139
#> [8807] 12172.811 12144.830 12083.887 11984.914 11825.002 11825.002 11825.002
#> [8814] 11784.999 11844.702 11752.281 11803.648 11743.999 11743.999 11743.999
#> [8821] 11644.747 11642.977 11615.117 11665.554 11611.417 11611.417 11611.417
#> [8828] 11598.998 11589.999 11586.462 11453.081 11387.232 11387.232 11387.232
#> [8835] 11423.233 11444.238 11469.410 11395.359 11330.409 11330.409 11330.409
#> [8842] 11292.133 11306.819 11313.599 11495.415 11423.585 11423.585 11423.585
#> [8849] 11381.284 11412.416 11411.036 11415.242 11343.586 11343.586 11343.586
#> [8856] 11360.001 11309.050 11292.497 11315.235 11321.788 11321.788 11321.788
#> [8863] 11302.419 11287.411 11350.413 11415.591 11439.237 11439.237 11439.237
#> [8870] 11437.412 11425.335 11437.290 11420.079 11420.079 11420.079 11420.079
#> [8877] 11420.079 11531.584 11631.206 11609.262 11574.579 11574.579 11574.579
#> [8884] 11587.923 11549.161 11560.339 11560.339 11508.072 11508.072 11508.072
#> [8891] 11518.041 11515.970 11574.912 11539.067 11494.913 11494.913 11494.913
#> [8898] 11520.879 11518.376 11420.417 11420.624 11390.245 11390.245 11390.245
#> [8905] 11415.581 11464.421 11508.548 11528.168 11612.443 11612.443 11612.443
#> [8912] 11578.621 11595.425 11638.000 11618.756 11705.152 11705.152 11705.152
#> [8919] 11774.043 11802.433 11887.158 11827.434 11831.520 11831.520 11831.520
#> [8926] 11777.690 11806.481 11811.390 11787.116 11794.458 11794.458 11794.458
#> [8933] 11823.116 11893.588 11982.445 11933.943 11971.416 11971.416 11971.416
#> [8940] 11986.695 11990.535 12088.204 12104.557 12018.326 12018.326 12018.326
#> [8947] 11896.434 11873.130 11916.227 11929.313 11842.434 11842.434 11842.434
#> [8954] 11710.300 11628.288 11626.854 11580.116 11589.790 11589.790 11589.790
#> [8961] 11670.573 11747.109 11700.170 11681.804 11620.614 11620.614 11620.614
#> [8968] 11544.570 11594.993 11491.430 11568.624 11578.705 11578.705 11578.705
#> [8975] 11576.163 11593.298 11575.211 11578.279 11812.206 11812.206 11812.206
#> [8982] 11758.948 11709.438 11801.641 11796.237 11776.539 11776.539 11776.539
#> [8989] 11709.562 11686.161 11692.972 11674.987 11684.561 11684.561 11684.561
#> [8996] 11685.631 11679.003 11717.322 11687.181 11678.661 11678.661 11678.661
#> [9003] 11714.227 11698.446 11679.100 11716.444 11705.801 11705.801 11705.801
#> [9010] 11718.846 11747.915 11765.387 11771.648 11758.318 11758.318 11758.318
#> [9017] 11724.902 11797.372 11814.997 11854.293 11835.287 11835.287 11835.287
#> [9024] 11957.540 11956.923 11967.922 12024.464 11964.107 11964.107 11964.107
#> [9031] 11987.793 11962.395 11959.465 11992.472 12051.477 12051.477 12051.477
#> [9038] 12175.482 12212.485 12146.449 12150.479 12197.860 12197.860 12197.860
#> [9045] 12189.542 12235.488 12250.486 12164.522 12236.272 12236.272 12236.272
#> [9052] 12193.485 12216.487 12224.451 12278.555 12089.527 12089.527 12089.527
#> [9059] 12015.415 11995.353 12003.364 12043.429 12075.527 12075.527 12075.527
#> [9066] 12126.524 12125.479 12095.376 12149.516 12112.488 12112.488 12112.488
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#> [12181] 14711.806 14745.141 14749.753 14710.997 14809.245 14809.245 14809.245
#> [12188] 14793.628 14825.926 14884.237 14879.663 14923.335 14923.335 14923.335
#> [12195] 14877.407 14883.783 14894.298 14942.552 14962.004 14962.004 14962.004
#> [12202] 14960.401 14972.496 15005.513 14924.521 14843.278 14843.278 14843.278
#> [12209] 14870.122 14875.241 14837.865 14882.612 14839.258 14839.258 14839.258
#> [12216] 14860.056 14865.959 14895.180 14981.523 14944.146 14944.146 14944.146
#> [12223] 14998.343 15009.705 14950.838 14953.109 15010.741 15010.741 15010.741
#> [12230] 15056.073 15001.087 14992.668 15001.024 15078.723 15078.723 15078.723
#> [12237] 15058.813 15013.548 15057.386 15066.456 15173.824 15173.824 15173.824
#> [12244] 15202.264 15177.214 15068.772 14959.301 14970.029 14970.029 14970.029
#> [12251] 14998.032 14983.972 14997.826 14984.067 15027.169 15027.169 15027.169
#> [12258] 15020.917 15027.626 15046.550 15003.461 15095.767 15095.767 15095.767
#> [12265] 15079.969 15120.337 15180.564 15168.332 15187.822 15187.822 15187.822
#> [12272] 15193.035 15227.622 15191.384 15173.999 15277.999 15277.999 15277.999
#> [12279] 15309.231 15339.658 15285.141 15345.706 15319.002 15319.002 15319.002
#> [12286] 15326.815 15338.725 15292.864 15245.000 15286.001 15286.001 15286.001
#> [12293] 15288.000 15258.002 15239.996 15229.996 15240.004 15240.004 15240.004
#> [12300] 15244.996 15272.109 15292.499 15325.005 15357.250 15357.250 15357.250
#> [12307] 15365.004 15367.003 15375.552 15355.033 15367.996 15367.996 15367.996
#> [12314] 15369.999 15379.996 15357.531 15374.998 15374.998 15374.998 15374.998
#> [12321] 15381.454 15490.005 15551.851 15544.701 15464.999 15464.999 15464.999
#> [12328] 15548.500 15604.652 15629.999 15605.301 15641.645 15641.645 15641.645
#> [12335] 15690.001 15729.304 15722.548 15663.754 15683.001 15683.001 15683.001
#> [12342] 15703.701 15714.997 15757.804 15855.399 15857.908 15857.908 15857.908
#> [12349] 15939.002 15855.803 15878.347 15920.000 15939.996 15939.996 15939.996
#> [12356] 15890.005 15884.999 15946.702 15809.999 15664.250 15664.250 15664.250
#> [12363] 15533.898 15662.100 15677.453 15640.651 15692.848 15692.848 15692.848
#> [12370] 15700.000 15704.355 15482.002 15579.003 15376.453 15376.453 15376.453
#> [12377] 15447.996 15499.151 15602.099 15550.000 15569.797 15569.797 15569.797
#> [12384] 15482.002 15485.953#> [1] 12385Our data contains 12,385 observations within almost the last 34 years (01 January 1990 - 28 November 2023).
From our previous observation, our time series object
bis_ts contains trend and seasonal components, with
additive type pattern, therefore the appropriate Model is
to use
Triple Exponential Smoothing (Holt's Winters Exponential).
4.2 Cross Validation : Train - Test Data
Let us split the data by using roughly the last 4 years as Testing Data and the rest as Training Data
4.3 Fitting Model
As bis_ts has additive pattern, therefore parameter
seasonal is filled with additive
4.4 Forecasting
#> Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
#> 2019.9315 14104.99 13987.13 14222.85 13924.733 14285.24
#> 2019.9342 14104.98 13938.30 14271.66 13850.061 14359.90
#> 2019.9370 14104.97 13900.83 14309.11 13792.760 14417.18
#> 2019.9397 14104.96 13869.23 14340.68 13744.448 14465.46
#> 2019.9425 14104.94 13841.40 14368.49 13701.884 14508.00
#> 2019.9452 14106.94 13818.23 14395.64 13665.405 14548.47
#> 2019.9479 14106.93 13795.09 14418.76 13630.019 14583.83
#> 2019.9507 14109.92 13776.55 14443.28 13600.082 14619.75
#> 2019.9534 14109.91 13756.32 14463.49 13569.146 14650.67
#> 2019.9562 14109.90 13737.19 14482.61 13539.886 14679.91
#> 2019.9589 14109.89 13718.99 14500.79 13512.055 14707.72
#> 2019.9616 14108.85 13700.57 14517.14 13484.435 14733.27
#> 2019.9644 14109.84 13684.88 14534.80 13459.926 14759.76
#> 2019.9671 14109.82 13668.83 14550.82 13435.375 14784.27
#> 2019.9699 14112.81 13656.33 14569.29 13414.689 14810.93
#> 2019.9726 14112.79 13641.35 14584.24 13391.779 14833.81
#> 2019.9753 14112.78 13626.82 14598.74 13369.574 14855.99
#> 2019.9781 14112.76 13612.72 14612.81 13348.010 14877.52
#> 2019.9808 14112.75 13599.01 14626.50 13327.045 14898.46
#> 2019.9836 14114.75 13587.66 14641.84 13308.630 14920.87
#> 2019.9863 14114.75 13574.64 14654.86 13288.719 14940.77
#> 2019.9890 14114.78 13561.96 14667.60 13269.313 14960.24
#> 2019.9918 14114.81 13549.57 14680.06 13250.343 14979.28
#> 2019.9945 14114.84 13537.44 14692.25 13231.782 14997.90
#> 2019.9973 14114.83 13525.52 14704.14 13213.564 15016.10
#> 2020.0000 14114.82 13513.85 14715.80 13195.706 15033.94
#> 2020.0027 14117.81 13505.38 14730.24 13181.183 15054.44
#> 2020.0055 14117.80 13494.13 14741.46 13163.981 15071.61
#> 2020.0082 14117.78 13483.07 14752.48 13147.081 15088.48
#> 2020.0110 14117.76 13472.21 14763.32 13130.469 15105.05
#> 2020.0137 14117.74 13461.52 14773.97 13114.132 15121.36
#> 2020.0164 14117.73 13451.00 14784.45 13098.056 15137.40
#> 2020.0192 14121.71 13444.65 14798.78 13086.231 15157.19
#> 2020.0219 14122.70 13435.46 14809.95 13071.651 15173.76
#> 2020.0247 14123.69 13426.42 14820.97 13057.298 15190.09
#> 2020.0274 14123.69 13416.52 14830.86 13042.162 15205.21
#> 2020.0301 14123.68 13406.75 14840.60 13027.234 15220.12
#> 2020.0329 14123.67 13397.12 14850.22 13012.507 15234.83
#> 2020.0356 14123.66 13387.61 14859.70 12997.970 15249.34
#> 2020.0384 14124.64 13379.21 14870.06 12984.609 15264.66
#> 2020.0411 14124.64 13369.96 14879.33 12970.454 15278.83
#> 2020.0438 14125.65 13361.82 14889.48 12957.471 15293.83
#> 2020.0466 14126.64 13353.77 14899.51 12944.634 15308.64
#> 2020.0493 14126.63 13344.82 14908.44 12930.960 15322.30
#> 2020.0521 14126.62 13335.98 14917.26 12917.440 15335.80
#> 2020.0548 14126.61 13327.23 14925.99 12904.069 15349.15
#> 2020.0575 14126.60 13318.59 14934.62 12890.846 15362.36
#> 2020.0603 14127.60 13311.03 14944.17 12878.762 15376.43
#> 2020.0630 14127.59 13302.56 14952.63 12865.816 15389.37
#> 2020.0658 14127.59 13294.18 14960.99 12852.998 15402.17
#> 2020.0685 14127.58 13285.88 14969.28 12840.307 15414.85
#> 2020.0712 14127.57 13277.66 14977.48 12827.740 15427.40
#> 2020.0740 14128.56 13270.51 14986.61 12816.293 15440.83
#> 2020.0767 14128.56 13262.45 14994.66 12803.964 15453.15
#> 2020.0795 14129.55 13255.47 15003.64 12792.752 15466.35
#> 2020.0822 14129.54 13247.55 15011.54 12780.645 15478.44
#> 2020.0849 14129.53 13239.70 15019.37 12768.646 15490.42
#> 2020.0877 14129.53 13231.92 15027.14 12756.756 15502.30
#> 2020.0904 14129.53 13224.21 15034.84 12744.969 15514.08
#> 2020.0932 14128.52 13215.56 15041.47 12732.276 15524.76
#> 2020.0959 14128.51 13207.98 15049.04 12720.685 15536.34
#> 2020.0986 14128.51 13200.47 15056.56 12709.191 15547.83
#> 2020.1014 14127.51 13192.01 15063.01 12696.787 15558.23
#> 2020.1041 14127.51 13184.61 15070.40 12685.475 15569.54
#> 2020.1068 14127.50 13177.27 15077.74 12674.250 15580.76
#> 2020.1096 14127.50 13169.99 15085.02 12663.112 15591.89
#> 2020.1123 14127.51 13162.77 15092.25 12652.063 15602.95
#> 2020.1151 14128.51 13156.59 15100.42 12642.094 15614.92
#> 2020.1178 14128.51 13149.48 15107.54 12631.207 15625.81
#> 2020.1205 14129.51 13143.41 15115.61 12621.395 15637.62
#> 2020.1233 14130.51 13137.39 15123.63 12611.665 15649.36
#> 2020.1260 14130.51 13130.42 15130.60 12601.009 15660.02
#> 2020.1288 14130.52 13123.51 15137.53 12590.427 15670.61
#> 2020.1315 14130.51 13116.63 15144.40 12579.911 15681.12
#> 2020.1342 14130.51 13109.80 15151.22 12569.464 15691.55
#> 2020.1370 14133.50 13106.01 15161.00 12562.087 15704.92
#> 2020.1397 14133.50 13099.27 15167.73 12551.776 15715.22
#> 2020.1425 14133.49 13092.57 15174.42 12541.532 15725.45
#> 2020.1452 14133.49 13085.91 15181.06 12531.353 15735.62
#> 2020.1479 14133.48 13079.29 15187.67 12521.239 15745.72
#> 2020.1507 14133.47 13072.72 15194.23 12511.187 15755.76
#> 2020.1534 14137.47 13070.18 15204.75 12505.197 15769.74
#> 2020.1562 14137.46 13063.69 15211.23 12495.271 15779.65
#> 2020.1589 14137.46 13057.24 15217.68 12485.402 15789.51
#> 2020.1616 14133.45 13046.82 15220.08 12471.591 15795.31
#> 2020.1644 14133.44 13040.44 15226.45 12461.837 15805.05
#> 2020.1671 14133.44 13034.10 15232.78 12452.140 15814.73
#> 2020.1699 14137.43 13031.79 15243.07 12446.499 15828.36
#> 2020.1726 14140.42 13028.52 15252.33 12439.908 15840.93
#> 2020.1753 14140.41 13022.28 15258.55 12430.374 15850.45
#> 2020.1781 14141.41 13017.08 15265.74 12421.894 15860.92
#> 2020.1808 14141.40 13010.91 15271.89 12412.463 15870.33
#> 2020.1836 14141.39 13004.77 15278.00 12403.080 15879.69
#> 2020.1863 14141.37 12998.66 15284.09 12393.747 15889.00
#> 2020.1890 14142.37 12993.59 15291.14 12385.468 15899.26
#> 2020.1918 14144.36 12989.55 15299.16 12378.237 15910.48
#> 2020.1945 14144.35 12983.55 15305.16 12369.058 15919.65
#> 2020.1973 14143.36 12976.59 15310.13 12358.934 15927.78
#> 2020.2000 14143.36 12970.65 15316.07 12349.855 15936.86
#> 2020.2027 14143.36 12964.74 15321.98 12340.821 15945.90
#> 2020.2055 14143.36 12958.87 15327.86 12331.833 15954.89
#> 2020.2082 14144.38 12954.03 15334.72 12323.900 15964.85
#> 2020.2110 14146.39 12950.22 15342.55 12317.011 15975.77
#> 2020.2137 14146.40 12944.44 15348.36 12308.165 15984.64
#> 2020.2164 14147.40 12939.68 15355.13 12300.351 15994.46
#> 2020.2192 14147.41 12933.94 15360.87 12291.577 16003.23
#> 2020.2219 14147.40 12928.22 15366.57 12282.833 16011.96
#> 2020.2247 14147.38 12922.53 15372.24 12274.130 16020.64
#> 2020.2274 14147.38 12916.86 15377.89 12265.469 16029.28
#> 2020.2301 14147.35 12911.21 15383.50 12256.832 16037.87
#> 2020.2329 14148.29 12906.54 15390.04 12249.197 16047.38
#> 2020.2356 14148.23 12900.90 15395.56 12240.600 16055.86
#> 2020.2384 14148.21 12895.32 15401.09 12232.080 16064.33
#> 2020.2411 14148.18 12889.76 15406.60 12223.598 16072.77
#> 2020.2438 14148.16 12884.23 15412.09 12215.152 16081.17
#> 2020.2466 14149.14 12879.73 15418.55 12207.749 16090.54
#> 2020.2493 14148.13 12873.26 15423.00 12198.385 16097.88
#> 2020.2521 14148.11 12867.81 15428.42 12190.053 16106.17
#> 2020.2548 14148.09 12862.37 15433.81 12181.751 16114.43
#> 2020.2575 14149.08 12857.96 15440.19 12174.492 16123.66
#> 2020.2603 14149.06 12852.58 15445.54 12166.264 16131.85
#> 2020.2630 14149.04 12847.22 15450.87 12158.071 16140.01
#> 2020.2658 14149.01 12841.86 15456.16 12149.895 16148.12
#> 2020.2685 14150.01 12837.56 15462.47 12142.790 16157.24
#> 2020.2712 14149.98 12832.25 15467.71 12134.679 16165.28
#> 2020.2740 14148.94 12825.95 15471.94 12125.597 16172.29
#> 2020.2767 14149.91 12821.67 15478.14 12118.547 16181.27
#> 2020.2795 14149.87 12816.42 15483.32 12110.529 16189.21
#> 2020.2822 14149.83 12811.18 15488.49 12102.542 16197.13
#> 2020.2849 14149.80 12805.97 15493.63 12094.584 16205.01
#> 2020.2877 14149.76 12800.77 15498.75 12086.655 16212.86
#> 2020.2904 14149.72 12795.59 15503.85 12078.759 16220.68
#> 2020.2932 14149.68 12790.44 15508.93 12070.893 16228.47
#> 2020.2959 14150.65 12786.30 15514.99 12064.055 16237.24
#> 2020.2986 14150.61 12781.18 15520.04 12056.246 16244.97
#> 2020.3014 14150.57 12776.08 15525.06 12048.465 16252.67
#> 2020.3041 14151.53 12772.00 15531.07 12041.713 16261.35
#> 2020.3068 14145.49 12760.93 15530.06 12027.989 16263.00
#> 2020.3096 14169.96 12780.39 15559.53 12044.797 16295.12
#> 2020.3123 14169.43 12774.87 15563.99 12036.634 16302.22
#> 2020.3151 14170.40 12770.87 15569.93 12030.003 16310.80
#> 2020.3178 14170.37 12765.89 15574.86 12022.397 16318.35
#> 2020.3205 14170.34 12760.92 15579.76 12014.817 16325.87
#> 2020.3233 14172.31 12757.97 15586.65 12009.264 16335.36
#> 2020.3260 14170.79 12751.55 15590.03 12000.245 16341.34
#> 2020.3288 14169.26 12745.13 15593.39 11991.246 16347.28
#> 2020.3315 14154.24 12725.24 15583.23 11968.772 16339.70
#> 2020.3342 14169.21 12735.36 15603.06 11976.328 16362.10
#> 2020.3370 14169.19 12730.50 15607.88 11968.909 16369.47
#> 2020.3397 14169.17 12725.66 15612.67 11961.515 16376.82
#> 2020.3425 14169.15 12720.84 15617.45 11954.147 16384.14
#> 2020.3452 14156.13 12703.03 15609.22 11933.805 16378.45
#> 2020.3479 14169.11 12711.24 15626.97 11939.487 16398.72
#> 2020.3507 14156.08 12693.46 15618.71 11919.191 16392.98
#> 2020.3534 14169.06 12701.70 15636.43 11924.920 16413.21
#> 2020.3562 14169.05 12696.95 15641.14 11917.675 16420.42
#> 2020.3589 14169.03 12692.23 15645.83 11910.453 16427.61
#> 2020.3616 14170.01 12688.51 15651.51 11904.255 16435.77
#> 2020.3644 14157.99 12671.81 15644.17 11885.078 16430.91
#> 2020.3671 14170.98 12680.13 15661.82 11890.925 16451.03
#> 2020.3699 14170.96 12675.46 15666.46 11883.791 16458.12
#> 2020.3726 14157.94 12657.80 15658.07 11863.679 16452.20
#> 2020.3753 14157.92 12653.16 15662.68 11856.588 16459.25
#> 2020.3781 14157.90 12648.53 15667.26 11849.520 16466.27
#> 2020.3808 14173.88 12659.92 15687.84 11858.476 16489.28
#> 2020.3836 14172.87 12654.33 15691.41 11850.457 16495.28
#> 2020.3863 14171.85 12648.74 15694.96 11842.456 16501.25
#> 2020.3890 14173.83 12646.17 15701.50 11837.476 16510.19
#> 2020.3918 14173.82 12641.61 15706.02 11830.514 16517.12
#> 2020.3945 14173.80 12637.07 15710.53 11823.579 16524.03
#> 2020.3973 14173.79 12632.55 15715.03 11816.663 16530.92
#> 2020.4000 14173.78 12628.04 15719.52 11809.770 16537.79
#> 2020.4027 14173.77 12623.54 15724.00 11802.899 16544.64
#> 2020.4055 14173.26 12618.56 15727.96 11795.546 16550.97
#> 2020.4082 14174.75 12615.59 15733.92 11790.217 16559.29
#> 2020.4110 14175.25 12611.64 15738.86 11783.910 16566.59
#> 2020.4137 14175.25 12607.21 15743.30 11777.130 16573.38
#> 2020.4164 14175.26 12602.79 15747.73 11770.370 16580.15
#> 2020.4192 14175.76 12598.88 15752.64 11764.124 16587.39
#> 2020.4219 14177.26 12595.98 15758.54 11758.897 16595.62
#> 2020.4247 14175.76 12590.09 15761.43 11750.690 16600.83
#> 2020.4274 14175.76 12585.71 15765.80 11743.997 16607.52
#> 2020.4301 14176.75 12582.35 15771.15 11738.318 16615.18
#> 2020.4329 14176.74 12577.99 15775.50 11731.658 16621.83
#> 2020.4356 14176.74 12573.64 15779.83 11725.016 16628.45
#> 2020.4384 14178.23 12570.81 15785.65 11719.889 16636.56
#> 2020.4411 14177.71 12565.98 15789.45 11712.778 16642.65
#> 2020.4438 14177.70 12561.66 15793.74 11706.184 16649.22
#> 2020.4466 14178.69 12558.36 15799.02 11700.609 16656.77
#> 2020.4493 14178.69 12554.08 15803.31 11694.063 16663.32
#> 2020.4521 14178.70 12549.82 15807.59 11687.544 16669.86
#> 2020.4548 14178.71 12545.57 15811.85 11681.041 16676.39
#> 2020.4575 14178.72 12541.34 15816.11 11674.555 16682.89
#> 2020.4603 14179.73 12538.11 15821.36 11669.086 16690.38
#> 2020.4630 14179.74 12533.89 15825.59 11662.628 16696.85
#> 2020.4658 14180.74 12530.68 15830.80 11657.184 16704.30
#> 2020.4685 14179.74 12525.47 15834.01 11649.758 16709.73
#> 2020.4712 14179.75 12521.29 15838.22 11643.356 16716.15
#> 2020.4740 14179.77 12517.12 15842.41 11636.971 16722.56
#> 2020.4767 14180.78 12513.96 15847.59 11631.601 16729.95
#> 2020.4795 14180.82 12509.84 15851.80 11625.279 16736.36
#> 2020.4822 14180.86 12505.73 15855.99 11618.973 16742.75
#> 2020.4849 14180.87 12501.60 15860.14 11612.646 16749.09
#> 2020.4877 14167.88 12484.47 15851.28 11593.334 16742.42
#> 2020.4904 14167.88 12480.36 15855.41 11587.037 16748.73
#> 2020.4932 14167.89 12476.25 15859.52 11580.756 16755.02
#> 2020.4959 14182.89 12487.15 15878.62 11589.485 16776.29
#> 2020.4986 14180.30 12480.47 15880.12 11580.636 16779.96
#> 2020.5014 14175.75 12471.85 15879.66 11569.853 16781.66
#> 2020.5041 14175.81 12467.83 15883.78 11563.677 16787.93
#> 2020.5068 14175.86 12463.82 15887.90 11557.519 16794.20
#> 2020.5096 14175.92 12459.83 15892.01 11551.382 16800.46
#> 2020.5123 14175.98 12455.84 15896.11 11545.258 16806.70
#> 2020.5151 14176.04 12451.87 15900.21 11539.150 16812.93
#> 2020.5178 14176.10 12447.91 15904.29 11533.055 16819.14
#> 2020.5205 14179.14 12446.94 15911.35 11529.961 16828.32
#> 2020.5233 14179.19 12442.98 15915.40 11523.882 16834.50
#> 2020.5260 14179.23 12439.02 15919.44 11517.814 16840.65
#> 2020.5288 14179.28 12435.08 15923.47 11511.762 16846.79
#> 2020.5315 14179.32 12431.15 15927.50 11505.725 16852.92
#> 2020.5342 14179.37 12427.23 15931.51 11499.701 16859.04
#> 2020.5370 14179.41 12423.31 15935.52 11493.691 16865.14
#> 2020.5397 14186.46 12426.41 15946.51 11494.694 16878.23
#> 2020.5425 14186.51 12422.51 15950.50 11488.711 16884.30
#> 2020.5452 14180.55 12412.62 15948.48 11476.739 16884.36
#> 2020.5479 14181.59 12409.74 15953.44 11471.780 16891.40
#> 2020.5507 14181.64 12405.87 15957.40 11465.838 16897.44
#> 2020.5534 14181.68 12402.01 15961.36 11459.908 16903.46
#> 2020.5562 14182.73 12399.16 15966.30 11454.991 16910.47
#> 2020.5589 14182.77 12395.31 15970.24 11449.088 16916.46
#> 2020.5616 14182.82 12391.48 15974.16 11443.197 16922.44
#> 2020.5644 14183.86 12388.65 15979.08 11438.317 16929.41
#> 2020.5671 14183.91 12384.83 15982.99 11432.452 16935.37
#> 2020.5699 14183.96 12381.02 15986.89 11426.599 16941.31
#> 2020.5726 14184.00 12377.21 15990.79 11420.759 16947.24
#> 2020.5753 14185.04 12374.42 15995.67 11415.929 16954.16
#> 2020.5781 14186.08 12371.62 16000.54 11411.106 16961.06
#> 2020.5808 14184.12 12365.84 16002.40 11403.296 16964.94
#> 2020.5836 14184.15 12362.06 16006.25 11397.494 16970.81
#> 2020.5863 14186.20 12360.29 16012.10 11393.714 16978.68
#> 2020.5890 14186.24 12356.53 16015.95 11387.945 16984.53
#> 2020.5918 14186.28 12352.78 16019.78 11382.188 16990.38
#> 2020.5945 14188.33 12351.05 16025.61 11378.447 16998.21
#> 2020.5973 14189.38 12348.32 16030.44 11373.719 17005.03
#> 2020.6000 14188.42 12343.59 16033.25 11366.998 17009.84
#> 2020.6027 14189.47 12340.88 16038.05 11362.292 17016.64
#> 2020.6055 14189.51 12337.17 16041.86 11356.600 17022.43
#> 2020.6082 14189.56 12333.47 16045.65 11350.917 17028.20
#> 2020.6110 14189.61 12329.78 16049.43 11345.245 17033.97
#> 2020.6137 14189.65 12326.09 16053.21 11339.585 17039.72
#> 2020.6164 14189.69 12322.41 16056.98 11333.934 17045.45
#> 2020.6192 14189.74 12318.74 16060.74 11328.296 17051.18
#> 2020.6219 14191.81 12317.10 16066.51 11324.692 17058.92
#> 2020.6247 14191.85 12313.44 16070.25 11319.072 17064.62
#> 2020.6274 14191.89 12309.79 16073.99 11313.462 17070.31
#> 2020.6301 14191.93 12306.14 16077.72 11307.864 17075.99
#> 2020.6329 14191.97 12302.50 16081.44 11302.277 17081.66
#> 2020.6356 14192.01 12298.87 16085.15 11296.701 17087.32
#> 2020.6384 14192.05 12295.24 16088.85 11291.132 17092.96
#> 2020.6411 14192.08 12291.62 16092.55 11285.575 17098.59
#> 2020.6438 14192.12 12288.01 16096.24 11280.029 17104.21
#> 2020.6466 14192.16 12284.40 16099.92 11274.495 17109.83
#> 2020.6493 14192.20 12280.80 16103.60 11268.973 17115.43
#> 2020.6521 14192.24 12277.21 16107.27 11263.461 17121.02
#> 2020.6548 14192.27 12273.62 16110.92 11257.949 17126.59
#> 2020.6575 14192.31 12270.04 16114.57 11252.452 17132.16
#> 2020.6603 14192.34 12266.47 16118.22 11246.969 17137.72
#> 2020.6630 14192.39 12262.91 16121.87 11241.507 17143.28
#> 2020.6658 14192.44 12259.37 16125.52 11236.058 17148.83
#> 2020.6685 14192.49 12255.83 16129.16 11230.619 17154.37
#> 2020.6712 14192.53 12252.28 16132.78 11225.179 17159.89
#> 2020.6740 14192.57 12248.74 16136.39 11219.744 17165.39
#> 2020.6767 14194.60 12247.21 16142.00 11216.319 17172.89
#> 2020.6795 14194.64 12243.68 16145.59 11210.901 17178.37
#> 2020.6822 14193.67 12239.15 16148.19 11204.496 17182.84
#> 2020.6849 14193.71 12235.64 16151.77 11199.101 17188.31
#> 2020.6877 14193.74 12232.13 16155.35 11193.716 17193.76
#> 2020.6904 14193.77 12228.62 16158.92 11188.337 17199.21
#> 2020.6932 14195.80 12227.12 16164.48 11184.966 17206.64
#> 2020.6959 14202.83 12230.63 16175.04 11186.607 17219.06
#> 2020.6986 14202.87 12227.15 16178.59 11181.263 17224.48
#> 2020.7014 14202.91 12223.67 16182.14 11175.929 17229.89
#> 2020.7041 14202.95 12220.20 16185.69 11170.604 17235.29
#> 2020.7068 14202.98 12216.74 16189.22 11165.289 17240.68
#> 2020.7096 14203.02 12213.28 16192.75 11159.980 17246.06
#> 2020.7123 14201.04 12207.82 16194.27 11152.673 17249.42
#> 2020.7151 14202.07 12205.37 16198.78 11148.375 17255.77
#> 2020.7178 14203.10 12202.92 16203.28 11144.086 17262.11
#> 2020.7205 14199.13 12195.48 16202.78 11134.812 17263.45
#> 2020.7233 14199.16 12192.05 16206.27 11129.547 17268.78
#> 2020.7260 14199.19 12188.62 16209.76 11124.291 17274.10
#> 2020.7288 14194.23 12180.20 16208.25 11114.044 17274.41
#> 2020.7315 14181.25 12163.79 16198.72 11095.804 17266.71
#> 2020.7342 14181.28 12160.37 16202.19 11090.569 17271.99
#> 2020.7370 14195.31 12170.97 16219.65 11099.344 17291.27
#> 2020.7397 14195.34 12167.57 16223.11 11094.133 17296.55
#> 2020.7425 14195.34 12164.15 16226.54 11088.904 17301.79
#> 2020.7452 14195.35 12160.74 16229.96 11083.683 17307.02
#> 2020.7479 14196.35 12158.33 16234.37 11079.468 17313.23
#> 2020.7507 14196.38 12154.95 16237.80 11074.287 17318.47
#> 2020.7534 14196.40 12151.58 16241.23 11069.114 17323.69
#> 2020.7562 14195.44 12147.22 16243.65 11062.956 17327.92
#> 2020.7589 14194.47 12142.86 16246.08 11056.806 17332.13
#> 2020.7616 14194.50 12139.51 16249.49 11051.665 17337.34
#> 2020.7644 14194.53 12136.17 16252.90 11046.532 17342.53
#> 2020.7671 14208.56 12146.83 16270.30 11055.407 17361.72
#> 2020.7699 14194.59 12129.49 16259.70 11036.286 17352.90
#> 2020.7726 14195.62 12127.15 16264.08 11032.173 17359.06
#> 2020.7753 14195.65 12123.83 16267.47 11027.076 17364.23
#> 2020.7781 14195.68 12120.51 16270.85 11021.982 17369.38
#> 2020.7808 14195.71 12117.20 16274.23 11016.900 17374.53
#> 2020.7836 14195.75 12113.89 16277.60 11011.825 17379.67
#> 2020.7863 14195.78 12110.59 16280.96 11006.759 17384.80
#> 2020.7890 14196.81 12108.29 16285.32 11002.701 17390.92
#> 2020.7918 14197.84 12106.01 16289.68 10998.653 17397.04
#> 2020.7945 14197.88 12102.72 16293.04 10993.614 17402.14
#> 2020.7973 14197.91 12099.44 16296.38 10988.580 17407.24
#> 2020.8000 14197.97 12096.19 16299.74 10983.579 17412.36
#> 2020.8027 14198.02 12092.95 16303.10 10978.585 17417.46
#> 2020.8055 14198.08 12089.70 16306.45 10973.597 17422.56
#> 2020.8082 14200.12 12088.46 16311.79 10970.608 17429.64
#> 2020.8110 14201.11 12086.15 16316.06 10966.563 17435.65
#> 2020.8137 14203.09 12084.85 16321.32 10963.527 17442.65
#> 2020.8164 14202.07 12080.56 16323.58 10957.496 17446.64
#> 2020.8192 14202.05 12077.27 16326.83 10952.476 17451.63
#> 2020.8219 14202.03 12073.98 16330.08 10947.463 17456.60
#> 2020.8247 14203.01 12071.70 16334.32 10943.452 17462.57
#> 2020.8274 14203.99 12069.42 16338.56 10939.453 17468.53
#> 2020.8301 14203.98 12066.16 16341.80 10934.466 17473.49
#> 2020.8329 14206.00 12064.94 16347.07 10931.528 17480.48
#> 2020.8356 14205.99 12061.68 16350.30 10926.555 17485.42
#> 2020.8384 14205.98 12058.43 16353.52 10921.594 17490.36
#> 2020.8411 14205.97 12055.19 16356.74 10916.639 17495.29
#> 2020.8438 14205.95 12051.95 16359.96 10911.692 17500.22
#> 2020.8466 14204.98 12047.75 16362.20 10905.788 17504.17
#> 2020.8493 14204.97 12044.53 16365.41 10900.858 17509.08
#> 2020.8521 14204.99 12041.34 16368.65 10895.969 17514.02
#> 2020.8548 14205.98 12039.12 16372.84 10892.051 17519.91
#> 2020.8575 14205.97 12035.90 16376.03 10887.141 17524.80
#> 2020.8603 14205.96 12032.69 16379.22 10882.238 17529.68
#> 2020.8630 14205.94 12029.49 16382.40 10877.339 17534.55
#> 2020.8658 14205.96 12026.31 16385.60 10872.477 17539.44
#> 2020.8685 14206.94 12024.11 16389.77 10868.587 17545.29
#> 2020.8712 14207.92 12021.91 16393.93 10864.704 17551.13
#> 2020.8740 14207.93 12018.75 16397.12 10859.864 17556.00
#> 2020.8767 14207.95 12015.59 16400.30 10855.031 17560.87
#> 2020.8795 14207.96 12012.44 16403.49 10850.205 17565.72
#> 2020.8822 14208.94 12010.25 16407.62 10846.342 17571.53
#> 2020.8849 14207.91 12006.07 16409.75 10840.488 17575.33
#> 2020.8877 14208.90 12003.90 16413.89 10836.653 17581.14
#> 2020.8904 14208.88 12000.74 16417.02 10831.824 17585.94
#> 2020.8932 14210.86 11999.58 16422.15 10829.000 17592.73
#> 2020.8959 14210.85 11996.43 16425.27 10824.182 17597.51
#> 2020.8986 14210.83 11993.27 16428.39 10819.371 17602.29
#> 2020.9014 14210.81 11990.13 16431.50 10814.567 17607.06
#> 2020.9041 14211.73 11987.91 16435.54 10810.700 17612.75
#> 2020.9068 14213.78 11986.85 16440.72 10807.986 17619.58
#> 2020.9096 14213.77 11983.72 16443.82 10803.202 17624.33
#> 2020.9123 14216.75 11983.59 16449.92 10801.429 17632.08
#> 2020.9151 14216.74 11980.47 16453.01 10796.662 17636.82
#> 2020.9178 14216.73 11977.35 16456.10 10791.902 17641.55
#> 2020.9205 14216.71 11974.24 16459.19 10787.147 17646.28
#> 2020.9233 14217.70 11972.13 16463.27 10783.400 17652.00
#> 2020.9260 14218.69 11970.03 16467.35 10779.667 17657.72
#> 2020.9288 14219.68 11967.94 16471.43 10775.937 17663.43
#> 2020.9315 14219.67 11964.84 16474.50 10771.211 17668.13
#> 2020.9342 14219.66 11961.76 16477.57 10766.494 17672.83
#> 2020.9370 14219.65 11958.67 16480.64 10761.784 17677.53
#> 2020.9397 14219.64 11955.59 16483.69 10757.076 17682.21
#> 2020.9425 14219.63 11952.51 16486.75 10752.375 17686.88
#> 2020.9452 14221.62 11951.44 16491.80 10749.684 17693.56
#> 2020.9479 14221.61 11948.38 16494.85 10744.999 17698.22
#> 2020.9507 14224.60 11948.31 16500.89 10743.320 17705.89
#> 2020.9534 14224.59 11945.26 16503.93 10738.647 17710.54
#> 2020.9562 14224.58 11942.20 16506.97 10733.981 17715.19
#> 2020.9589 14224.58 11939.15 16510.00 10729.321 17719.83
#> 2020.9616 14223.54 11935.08 16512.00 10723.639 17723.44
#> 2020.9644 14224.53 11933.03 16516.02 10719.989 17729.06
#> 2020.9671 14224.51 11929.99 16519.03 10715.339 17733.68
#> 2020.9699 14227.50 11929.95 16525.04 10713.698 17741.29
#> 2020.9726 14227.48 11926.91 16528.05 10709.063 17745.90
#> 2020.9753 14227.47 11923.88 16531.05 10704.434 17750.50
#> 2020.9781 14227.45 11920.85 16534.05 10699.809 17755.09
#> 2020.9808 14227.44 11917.83 16537.05 10695.197 17759.68
#> 2020.9836 14229.44 11916.82 16542.05 10692.597 17766.27
#> 2020.9863 14229.43 11913.82 16545.05 10688.003 17770.86
#> 2020.9890 14229.46 11910.85 16548.08 10683.451 17775.48
#> 2020.9918 14229.50 11907.89 16551.10 10678.905 17780.09
#> 2020.9945 14229.53 11904.93 16554.13 10674.364 17784.69
#> 2020.9973 14229.52 11901.94 16557.10 10669.788 17789.25
#> 2021.0000 14229.51 11898.95 16560.08 10665.218 17793.80
#> 2021.0027 14232.50 11898.95 16566.04 10663.649 17801.34
#> 2021.0055 14232.48 11895.96 16569.00 10659.085 17805.88
#> 2021.0082 14232.46 11892.97 16571.95 10654.524 17810.40
#> 2021.0110 14232.45 11889.99 16574.90 10649.969 17814.92
#> 2021.0137 14232.43 11887.01 16577.85 10645.420 17819.44
#> 2021.0164 14232.41 11884.03 16580.79 10640.876 17823.95
#> 2021.0192 14236.40 11885.06 16587.73 10640.341 17832.45
#> 2021.0219 14237.39 11883.10 16591.68 10636.819 17837.96
#> 2021.0247 14238.38 11881.15 16595.62 10633.301 17843.46
#> 2021.0274 14238.37 11878.19 16598.55 10628.788 17847.95
#> 2021.0301 14238.36 11875.24 16601.48 10624.281 17852.44
#> 2021.0329 14238.35 11872.29 16604.41 10619.780 17856.93
#> 2021.0356 14238.34 11869.35 16607.33 10615.281 17861.40
#> 2021.0384 14239.32 11867.40 16611.24 10611.780 17866.86
#> 2021.0411 14239.33 11864.48 16614.18 10607.311 17871.35
#> 2021.0438 14240.34 11862.56 16618.11 10603.849 17876.82
#> 2021.0466 14241.32 11860.63 16622.01 10600.372 17882.28
#> 2021.0493 14241.32 11857.71 16624.92 10595.904 17886.73
#> 2021.0521 14241.31 11854.79 16627.82 10591.441 17891.17
#> 2021.0548 14241.30 11851.87 16630.72 10586.983 17895.61
#> 2021.0575 14241.29 11848.96 16633.62 10582.534 17900.05
#> 2021.0603 14242.28 11847.05 16637.52 10579.090 17905.48
#> 2021.0630 14242.28 11844.15 16640.41 10574.653 17909.91
#> 2021.0658 14242.27 11841.25 16643.30 10570.219 17914.32
#> 2021.0685 14242.26 11838.35 16646.18 10565.789 17918.74
#> 2021.0712 14242.26 11835.45 16649.06 10561.365 17923.15
#> 2021.0740 14243.25 11833.56 16652.94 10557.946 17928.55
#> 2021.0767 14243.24 11830.67 16655.81 10553.534 17932.95
#> 2021.0795 14244.24 11828.79 16659.68 10550.130 17938.34
#> 2021.0822 14244.23 11825.91 16662.55 10545.725 17942.73
#> 2021.0849 14244.22 11823.03 16665.41 10541.326 17947.11
#> 2021.0877 14244.22 11820.16 16668.27 10536.938 17951.49
#> 2021.0904 14244.21 11817.29 16671.13 10532.555 17955.87
#> 2021.0932 14243.20 11813.42 16672.98 10527.171 17959.23
#> 2021.0959 14243.20 11810.56 16675.84 10522.799 17963.60
#> 2021.0986 14243.20 11807.71 16678.69 10518.434 17967.96
#> 2021.1014 14242.19 11803.85 16680.54 10513.071 17971.32
#> 2021.1041 14242.19 11801.00 16683.38 10508.715 17975.67
#> 2021.1068 14242.19 11798.16 16686.22 10504.364 17980.02
#> 2021.1096 14242.19 11795.31 16689.06 10500.018 17984.36
#> 2021.1123 14242.19 11792.48 16691.90 10495.682 17988.70
#> 2021.1151 14243.19 11790.65 16695.74 10492.349 17994.03
#> 2021.1178 14243.19 11787.82 16698.57 10488.024 17998.37
#> 2021.1205 14244.19 11785.99 16702.40 10484.699 18003.69
#> 2021.1233 14245.20 11784.17 16706.22 10481.383 18009.01
#> 2021.1260 14245.20 11781.35 16709.05 10477.073 18013.33
#> 2021.1288 14245.20 11778.54 16711.87 10472.767 18017.64
#> 2021.1315 14245.20 11775.72 16714.68 10468.460 18021.94
#> 2021.1342 14245.20 11772.91 16717.48 10464.156 18026.23
#> 2021.1370 14248.19 11773.09 16723.29 10462.856 18033.52
#> 2021.1397 14248.18 11770.28 16726.09 10458.561 18037.81
#> 2021.1425 14248.18 11767.47 16728.88 10454.270 18042.09
#> 2021.1452 14248.17 11764.67 16731.67 10449.984 18046.36
#> 2021.1479 14248.16 11761.87 16734.46 10445.703 18050.63
#> 2021.1507 14248.16 11759.07 16737.25 10441.426 18054.89
#> 2021.1534 14252.15 11760.27 16744.03 10441.155 18063.15
#> 2021.1562 14252.15 11757.49 16746.81 10436.891 18067.41
#> 2021.1589 14252.14 11754.70 16749.59 10432.629 18071.66
#> 2021.1616 14248.14 11747.91 16748.36 10424.371 18071.90
#> 2021.1644 14248.13 11745.13 16751.13 10420.119 18076.14
#> 2021.1671 14248.12 11742.35 16753.90 10415.871 18080.38
#> 2021.1699 14252.12 11743.57 16760.66 10415.628 18088.61
#> 2021.1726 14255.11 11743.79 16766.42 10414.385 18095.83
#> 2021.1753 14255.10 11741.02 16769.18 10410.150 18100.05
#> 2021.1781 14256.09 11739.25 16772.93 10406.921 18105.26
#> 2021.1808 14256.08 11736.49 16775.68 10402.694 18109.47
#> 2021.1836 14256.07 11733.72 16778.42 10398.468 18113.68
#> 2021.1863 14256.06 11730.96 16781.16 10394.247 18117.87
#> 2021.1890 14257.05 11729.20 16784.90 10391.035 18123.07
#> 2021.1918 14259.04 11728.44 16789.64 10388.826 18129.26
#> 2021.1945 14259.04 11725.70 16792.38 10384.627 18133.45
#> 2021.1973 14258.04 11721.96 16794.13 10379.440 18136.65
#> 2021.2000 14258.05 11719.23 16796.86 10375.255 18140.83
#> 2021.2027 14258.05 11716.49 16799.60 10371.075 18145.02
#> 2021.2055 14258.05 11713.76 16802.33 10366.900 18149.20
#> 2021.2082 14259.06 11712.05 16806.08 10363.740 18154.38
#> 2021.2110 14261.07 11711.34 16810.81 10361.585 18160.56
#> 2021.2137 14261.09 11708.63 16813.55 10357.433 18164.74
#> 2021.2164 14262.09 11706.91 16817.27 10354.277 18169.90
#> 2021.2192 14262.09 11704.19 16819.99 10350.123 18174.06
#> 2021.2219 14262.08 11701.47 16822.69 10345.962 18178.20
#> 2021.2247 14262.07 11698.75 16825.39 10341.805 18182.34
#> 2021.2274 14262.06 11696.03 16828.09 10337.654 18186.47
#> 2021.2301 14262.04 11693.30 16830.77 10333.492 18190.58
#> 2021.2329 14262.98 11691.54 16834.42 10330.298 18195.65
#> 2021.2356 14262.91 11688.78 16837.05 10326.108 18199.72
#> 2021.2384 14262.89 11686.06 16839.73 10321.961 18203.82
#> 2021.2411 14262.87 11683.34 16842.40 10317.818 18207.92
#> 2021.2438 14262.85 11680.62 16845.07 10313.679 18212.01
#> 2021.2466 14263.83 11678.92 16848.74 10310.550 18217.11
#> 2021.2493 14262.82 11675.22 16850.41 10305.430 18220.20
#> 2021.2521 14262.80 11672.52 16853.08 10301.310 18224.29
#> 2021.2548 14262.78 11669.82 16855.73 10297.188 18228.36
#> 2021.2575 14263.76 11668.13 16859.40 10294.079 18233.44
#> 2021.2603 14263.74 11665.43 16862.05 10289.971 18237.52
#> 2021.2630 14263.73 11662.74 16864.71 10285.868 18241.59
#> 2021.2658 14263.69 11660.04 16867.35 10281.754 18245.63
#> 2021.2685 14264.70 11658.38 16871.02 10278.680 18250.72
#> 2021.2712 14264.67 11655.68 16873.65 10274.573 18254.76
#> 2021.2740 14263.63 11651.99 16875.27 10269.467 18257.79
#> 2021.2767 14264.59 11650.29 16878.89 10266.365 18262.82
#> 2021.2795 14264.56 11647.60 16881.51 10262.268 18266.84
#> 2021.2822 14264.52 11644.91 16884.13 10258.174 18270.86
#> 2021.2849 14264.48 11642.22 16886.74 10254.083 18274.88
#> 2021.2877 14264.44 11639.54 16889.35 10249.995 18278.89
#> 2021.2904 14264.41 11636.86 16891.96 10245.914 18282.90
#> 2021.2932 14264.37 11634.18 16894.56 10241.837 18286.90
#> 2021.2959 14265.33 11632.50 16898.16 10238.762 18291.90
#> 2021.2986 14265.29 11629.82 16900.76 10234.692 18295.90
#> 2021.3014 14265.26 11627.15 16903.36 10230.625 18299.89
#> 2021.3041 14266.22 11625.48 16906.95 10227.563 18304.87
#> 2021.3068 14260.18 11616.82 16903.54 10217.505 18302.86
#> 2021.3096 14284.65 11638.66 16930.64 10237.954 18331.34
#> 2021.3123 14284.11 11635.50 16932.73 10233.409 18334.82
#> 2021.3151 14285.09 11633.85 16936.32 10230.373 18339.80
#> 2021.3178 14285.06 11631.20 16938.91 10226.339 18343.77
#> 2021.3205 14285.03 11628.56 16941.50 10222.308 18347.75
#> 2021.3233 14287.00 11627.92 16946.08 10220.282 18353.71
#> 2021.3260 14285.48 11623.78 16947.17 10214.768 18356.18
#> 2021.3288 14283.95 11619.65 16948.25 10209.252 18358.65
#> 2021.3315 14268.92 11602.01 16935.83 10190.239 18347.60
#> 2021.3342 14283.90 11614.39 16953.41 10201.235 18366.56
#> 2021.3370 14283.88 11611.76 16955.99 10197.235 18370.52
#> 2021.3397 14283.85 11609.14 16958.56 10193.239 18374.47
#> 2021.3425 14283.83 11606.53 16961.14 10189.248 18378.41
#> 2021.3452 14270.81 11590.91 16950.71 10172.262 18369.36
#> 2021.3479 14283.79 11601.30 16966.28 10181.280 18386.30
#> 2021.3507 14270.77 11585.69 16955.85 10164.300 18377.24
#> 2021.3534 14283.75 11596.09 16971.41 10173.326 18394.17
#> 2021.3562 14283.73 11593.49 16973.98 10169.358 18398.11
#> 2021.3589 14283.71 11590.89 16976.54 10165.395 18402.04
#> 2021.3616 14284.70 11589.29 16980.10 10162.434 18406.96
#> 2021.3644 14272.68 11574.70 16970.66 10146.478 18398.88
#> 2021.3671 14285.66 11585.11 16986.21 10155.525 18415.80
#> 2021.3699 14285.64 11582.52 16988.77 10151.574 18419.71
#> 2021.3726 14272.62 11566.93 16978.31 10134.626 18410.62
#> 2021.3753 14272.60 11564.35 16980.86 10130.682 18414.52
#> 2021.3781 14272.58 11561.76 16983.40 10126.741 18418.42
#> 2021.3808 14288.57 11575.18 17001.95 10138.807 18438.32
#> 2021.3836 14287.55 11571.61 17003.49 10133.882 18441.22
#> 2021.3863 14286.54 11568.04 17005.03 10128.956 18444.12
#> 2021.3890 14288.52 11567.47 17009.57 10127.034 18450.01
#> 2021.3918 14288.50 11564.90 17012.10 10123.113 18453.89
#> 2021.3945 14288.49 11562.34 17014.64 10119.202 18457.78
#> 2021.3973 14288.48 11559.78 17017.17 10115.294 18461.66
#> 2021.4000 14288.46 11557.22 17019.71 10111.392 18465.54
#> 2021.4027 14288.46 11554.67 17022.24 10107.495 18469.42
#> 2021.4055 14287.94 11551.62 17024.27 10103.101 18472.79
#> 2021.4082 14289.44 11550.58 17028.30 10100.714 18478.16
#> 2021.4110 14289.93 11548.54 17031.33 10097.334 18482.54
#> 2021.4137 14289.94 11546.01 17033.87 10093.465 18486.41
#> 2021.4164 14289.94 11543.49 17036.40 10089.601 18490.29
#> 2021.4192 14290.44 11541.46 17039.43 10086.234 18494.65
#> 2021.4219 14291.94 11540.43 17043.45 10083.872 18500.02
#> 2021.4247 14290.45 11536.41 17044.48 10078.515 18502.38
#> 2021.4274 14290.44 11533.89 17047.00 10074.656 18506.23
#> 2021.4301 14291.43 11532.36 17050.51 10071.797 18511.07
#> 2021.4329 14291.43 11529.84 17053.02 10067.942 18514.91
#> 2021.4356 14291.42 11527.32 17055.52 10064.090 18518.75
#> 2021.4384 14292.91 11526.30 17059.53 10061.740 18524.08
#> 2021.4411 14292.40 11523.28 17061.52 10057.390 18527.41
#> 2021.4438 14292.39 11520.76 17064.02 10053.543 18531.23
#> 2021.4466 14293.38 11519.24 17067.51 10050.702 18536.05
#> 2021.4493 14293.38 11516.74 17070.02 10046.876 18539.88
#> 2021.4521 14293.39 11514.25 17072.53 10043.063 18543.72
#> 2021.4548 14293.40 11511.76 17075.04 10039.252 18547.55
#> 2021.4575 14293.41 11509.28 17077.54 10035.445 18551.37
#> 2021.4603 14294.42 11507.79 17081.05 10032.642 18556.20
#> 2021.4630 14294.42 11505.31 17083.54 10028.836 18560.01
#> 2021.4658 14295.43 11503.82 17087.03 10026.031 18564.82
#> 2021.4685 14294.43 11500.33 17088.52 10021.231 18567.63
#> 2021.4712 14294.44 11497.86 17091.02 10017.442 18571.44
#> 2021.4740 14294.45 11495.39 17093.51 10013.657 18575.25
#> 2021.4767 14295.46 11493.92 17097.01 10010.875 18580.05
#> 2021.4795 14295.51 11491.49 17099.53 10007.128 18583.88
#> 2021.4822 14295.55 11489.05 17102.05 10003.384 18587.71
#> 2021.4849 14295.56 11486.59 17104.52 9999.607 18591.50
#> 2021.4877 14282.56 11471.12 17094.00 9982.833 18582.29
#> 2021.4904 14282.57 11468.66 17096.48 9979.062 18586.07
#> 2021.4932 14282.57 11466.20 17098.95 9975.295 18589.85
#> 2021.4959 14297.57 11478.73 17116.42 9986.525 18608.62
#> 2021.4986 14294.98 11473.68 17116.29 9980.167 18609.80
#> 2021.5014 14290.44 11466.67 17114.21 9971.862 18609.02
#> 2021.5041 14290.49 11464.27 17116.72 9968.153 18612.83
#> 2021.5068 14290.55 11461.86 17119.23 9964.450 18616.64
#> 2021.5096 14290.60 11459.47 17121.74 9960.755 18620.45
#> 2021.5123 14290.66 11457.08 17124.25 9957.064 18624.26
#> 2021.5151 14290.72 11454.68 17126.76 9953.377 18628.07
#> 2021.5178 14290.78 11452.30 17129.27 9949.692 18631.87
#> 2021.5205 14293.83 11452.90 17134.76 9948.997 18638.66
#> 2021.5233 14293.87 11450.50 17137.25 9945.305 18642.44
#> 2021.5260 14293.92 11448.10 17139.74 9941.614 18646.22
#> 2021.5288 14293.96 11445.71 17142.22 9937.929 18650.00
#> 2021.5315 14294.01 11443.31 17144.70 9934.247 18653.77
#> 2021.5342 14294.05 11440.92 17147.19 9930.568 18657.54
#> 2021.5370 14294.10 11438.54 17149.66 9926.892 18661.31
#> 2021.5397 14301.15 11443.15 17159.14 9930.219 18672.07
#> 2021.5425 14301.19 11440.77 17161.62 9926.550 18675.83
#> 2021.5452 14295.23 11432.38 17158.09 9916.881 18673.59
#> 2021.5479 14296.28 11431.00 17161.55 9914.215 18678.34
#> 2021.5507 14296.32 11428.62 17164.02 9910.555 18682.09
#> 2021.5534 14296.37 11426.25 17166.49 9906.898 18685.84
#> 2021.5562 14297.41 11424.87 17169.95 9904.244 18690.59
#> 2021.5589 14297.46 11422.50 17172.42 9900.593 18694.33
#> 2021.5616 14297.51 11420.13 17174.88 9896.946 18698.07
#> 2021.5644 14298.55 11418.76 17178.33 9894.298 18702.80
#> 2021.5671 14298.59 11416.40 17180.79 9890.657 18706.53
#> 2021.5699 14298.64 11414.04 17183.25 9887.019 18710.26
#> 2021.5726 14298.69 11411.67 17185.70 9883.383 18713.99
#> 2021.5753 14299.73 11410.31 17189.15 9880.749 18718.71
#> 2021.5781 14300.77 11408.95 17192.59 9878.111 18723.42
#> 2021.5808 14298.80 11404.58 17193.02 9872.477 18725.13
#> 2021.5836 14298.84 11402.22 17195.46 9868.843 18728.84
#> 2021.5863 14300.88 11401.87 17199.90 9867.220 18734.54
#> 2021.5890 14300.93 11399.51 17202.34 9863.601 18738.25
#> 2021.5918 14300.97 11397.16 17204.77 9859.984 18741.95
#> 2021.5945 14303.01 11396.82 17209.21 9858.373 18747.65
#> 2021.5973 14304.06 11395.48 17212.65 9855.768 18752.36
#> 2021.6000 14303.11 11392.13 17214.08 9851.160 18755.05
#> 2021.6027 14304.15 11390.80 17217.51 9848.558 18759.74
#> 2021.6055 14304.20 11388.46 17219.94 9844.962 18763.44
#> 2021.6082 14304.25 11386.13 17222.36 9841.366 18767.12
#> 2021.6110 14304.29 11383.79 17224.79 9837.773 18770.81
#> 2021.6137 14304.34 11381.46 17227.21 9834.183 18774.49
#> 2021.6164 14304.38 11379.13 17229.63 9830.593 18778.17
#> 2021.6192 14304.43 11376.80 17232.05 9827.009 18781.84
#> 2021.6219 14306.49 11376.50 17236.49 9825.450 18787.54
#> 2021.6247 14306.53 11374.17 17238.90 9821.866 18791.20
#> 2021.6274 14306.57 11371.84 17241.31 9818.285 18794.86
#> 2021.6301 14306.61 11369.51 17243.71 9814.707 18798.52
#> 2021.6329 14306.65 11367.19 17246.12 9811.132 18802.18
#> 2021.6356 14306.69 11364.87 17248.52 9807.560 18805.83
#> 2021.6384 14306.73 11362.55 17250.92 9803.988 18809.47
#> 2021.6411 14306.77 11360.23 17253.31 9800.419 18813.12
#> 2021.6438 14306.81 11357.91 17255.71 9796.853 18816.76
#> 2021.6466 14306.85 11355.59 17258.10 9793.293 18820.40
#> 2021.6493 14306.89 11353.28 17260.49 9789.735 18824.04
#> 2021.6521 14306.93 11350.97 17262.88 9786.180 18827.67
#> 2021.6548 14306.96 11348.65 17265.26 9782.617 18831.30
#> 2021.6575 14306.99 11346.34 17267.64 9779.063 18834.92
#> 2021.6603 14307.03 11344.03 17270.03 9775.514 18838.54
#> 2021.6630 14307.08 11341.74 17272.42 9771.979 18842.18
#> 2021.6658 14307.13 11339.45 17274.81 9768.449 18845.81
#> 2021.6685 14307.18 11337.16 17277.20 9764.922 18849.44
#> 2021.6712 14307.22 11334.86 17279.58 9761.387 18853.05
#> 2021.6740 14307.25 11332.56 17281.95 9757.850 18856.66
#> 2021.6767 14309.29 11332.26 17286.32 9756.315 18862.26
#> 2021.6795 14309.32 11329.96 17288.68 9752.780 18865.86
#> 2021.6822 14308.36 11326.66 17290.05 9748.251 18868.46
#> 2021.6849 14308.39 11324.37 17292.41 9744.724 18872.06
#> 2021.6877 14308.43 11322.08 17294.77 9741.201 18875.65
#> 2021.6904 14308.46 11319.78 17297.13 9737.677 18879.24
#> 2021.6932 14310.49 11319.49 17301.48 9736.153 18884.82
#> 2021.6959 14317.52 11324.20 17310.84 9739.635 18895.40
#> 2021.6986 14317.56 11321.92 17313.19 9736.125 18898.99
#> 2021.7014 14317.59 11319.64 17315.55 9732.618 18902.57
#> 2021.7041 14317.63 11317.36 17317.90 9729.114 18906.15
#> 2021.7068 14317.67 11315.08 17320.25 9725.612 18909.73
#> 2021.7096 14317.70 11312.81 17322.60 9722.111 18913.30
#> 2021.7123 14315.73 11308.52 17322.94 9716.603 18914.86
#> 2021.7151 14316.76 11307.24 17326.27 9714.099 18919.41
#> 2021.7178 14317.78 11305.96 17329.61 9711.597 18923.97
#> 2021.7205 14313.82 11299.69 17327.94 9704.104 18923.53
#> 2021.7233 14313.85 11297.42 17330.28 9700.613 18927.08
#> 2021.7260 14313.88 11295.15 17332.61 9697.125 18930.63
#> 2021.7288 14308.91 11287.88 17329.94 9688.639 18929.18
#> 2021.7315 14295.94 11272.61 17319.27 9672.153 18919.73
#> 2021.7342 14295.97 11270.34 17321.60 9668.668 18923.27
#> 2021.7370 14309.99 11282.07 17337.92 9679.185 18940.80
#> 2021.7397 14310.03 11279.81 17340.24 9675.710 18944.34
#> 2021.7425 14310.03 11277.52 17342.54 9672.210 18947.85
#> 2021.7452 14310.03 11275.24 17344.83 9668.713 18951.36
#> 2021.7479 14311.04 11273.95 17348.12 9666.216 18955.86
#> 2021.7507 14311.06 11271.69 17350.43 9662.747 18959.38
#> 2021.7534 14311.09 11269.43 17352.75 9659.280 18962.90
#> 2021.7562 14310.12 11266.18 17354.06 9654.820 18965.42
#> 2021.7589 14309.15 11262.93 17355.37 9650.364 18967.94
#> 2021.7616 14309.19 11260.69 17357.68 9646.910 18971.46
#> 2021.7644 14309.22 11258.44 17359.99 9643.459 18974.98
#> 2021.7671 14323.25 11270.20 17376.30 9654.011 18992.49
#> 2021.7699 14309.28 11253.95 17364.60 9636.559 18981.99
#> 2021.7726 14310.30 11252.70 17367.90 9634.110 18986.50
#> 2021.7753 14310.34 11250.47 17370.21 9630.672 18990.00
#> 2021.7781 14310.37 11248.23 17372.50 9627.231 18993.50
#> 2021.7808 14310.40 11245.99 17374.80 9623.795 18997.00
#> 2021.7836 14310.43 11243.76 17377.10 9620.362 19000.50
#> 2021.7863 14310.46 11241.53 17379.40 9616.932 19003.99
#> 2021.7890 14311.50 11240.30 17382.69 9614.504 19008.49
#> 2021.7918 14312.53 11239.07 17385.99 9612.081 19012.98
#> 2021.7945 14312.56 11236.85 17388.28 9608.661 19016.47
#> 2021.7973 14312.60 11234.62 17390.57 9605.240 19019.95
#> 2021.8000 14312.65 11232.42 17392.88 9601.847 19023.46
#> 2021.8027 14312.71 11230.23 17395.19 9598.456 19026.96
#> 2021.8055 14312.76 11228.03 17397.50 9595.066 19030.46
#> 2021.8082 14314.81 11227.82 17401.80 9593.669 19035.95
#> 2021.8110 14315.79 11226.55 17405.03 9591.210 19040.37
#> 2021.8137 14317.77 11226.29 17409.26 9589.756 19045.79
#> 2021.8164 14316.75 11223.02 17410.48 9585.301 19048.21
#> 2021.8192 14316.74 11220.76 17412.71 9581.851 19051.62
#> 2021.8219 14316.72 11218.50 17414.94 9578.404 19055.03
#> 2021.8247 14317.70 11217.24 17418.15 9575.954 19059.44
#> 2021.8274 14318.68 11215.98 17421.38 9573.511 19063.84
#> 2021.8301 14318.66 11213.73 17423.60 9570.074 19067.25
#> 2021.8329 14320.69 11213.52 17427.86 9568.680 19072.70
#> 2021.8356 14320.67 11211.27 17430.08 9565.248 19076.10
#> 2021.8384 14320.66 11209.02 17432.30 9561.821 19079.50
#> 2021.8411 14320.65 11206.78 17434.52 9558.397 19082.91
#> 2021.8438 14320.64 11204.54 17436.74 9554.975 19086.30
#> 2021.8466 14319.66 11201.33 17437.99 9550.591 19088.74
#> 2021.8493 14319.65 11199.10 17440.21 9547.177 19092.13
#> 2021.8521 14319.68 11196.90 17442.46 9543.798 19095.56
#> 2021.8548 14320.67 11195.66 17445.67 9541.385 19099.95
#> 2021.8575 14320.65 11193.43 17447.88 9537.976 19103.33
#> 2021.8603 14320.64 11191.20 17450.09 9534.568 19106.72
#> 2021.8630 14320.63 11188.96 17452.29 9531.160 19110.10
#> 2021.8658 14320.64 11186.76 17454.53 9527.785 19113.50
#> 2021.8685 14321.62 11185.53 17457.72 9525.377 19117.87
#> 2021.8712 14322.60 11184.29 17460.91 9522.971 19122.24
#> 2021.8740 14322.62 11182.10 17463.14 9519.603 19125.64
#> 2021.8767 14322.63 11179.90 17465.37 9516.237 19129.03
#> 2021.8795 14322.65 11177.71 17467.59 9512.874 19132.43
#> 2021.8822 14323.62 11176.47 17470.77 9510.469 19136.77
#> 2021.8849 14322.60 11173.24 17471.95 9506.070 19139.12
#> 2021.8877 14323.58 11172.02 17475.14 9503.683 19143.48
#> 2021.8904 14323.57 11169.80 17477.33 9500.299 19146.84
#> 2021.8932 14325.55 11169.58 17481.52 9498.915 19152.18
#> 2021.8959 14325.53 11167.37 17483.70 9495.533 19155.53
#> 2021.8986 14325.52 11165.15 17485.88 9492.153 19158.88
#> 2021.9014 14325.50 11162.94 17488.06 9488.776 19162.22
#> 2021.9041 14326.41 11161.65 17491.17 9486.331 19166.49
#> 2021.9068 14328.47 11161.52 17495.42 9485.035 19171.91
#> 2021.9096 14328.45 11159.31 17497.60 9481.665 19175.24
#> 2021.9123 14331.44 11160.10 17502.78 9481.301 19181.58
#> 2021.9151 14331.43 11157.90 17504.95 9477.940 19184.91
#> 2021.9178 14331.41 11155.70 17507.13 9474.580 19188.25
#> 2021.9205 14331.40 11153.50 17509.30 9471.222 19191.58
#> 2021.9233 14332.39 11152.30 17512.47 9468.867 19195.90
#> 2021.9260 14333.38 11151.11 17515.65 9466.522 19200.24
#> 2021.9288 14334.37 11149.92 17518.82 9464.176 19204.56
#> 2021.9315 14334.36 11147.73 17520.99 9460.829 19207.89
#> 2021.9342 14334.35 11145.54 17523.16 9457.488 19211.21
#> 2021.9370 14334.34 11143.35 17525.33 9454.149 19214.53
#> 2021.9397 14334.33 11141.17 17527.49 9450.808 19217.85
#> 2021.9425 14334.32 11138.98 17529.65 9447.470 19221.16
#> 2021.9452 14336.31 11138.80 17533.82 9446.138 19226.47
#> 2021.9479 14336.30 11136.62 17535.98 9442.808 19229.79
#> 2021.9507 14339.29 11137.44 17541.14 9442.480 19236.10
#> 2021.9534 14339.28 11135.26 17543.30 9439.155 19239.40
#> 2021.9562 14339.27 11133.08 17545.46 9435.831 19242.71
#> 2021.9589 14339.26 11130.91 17547.61 9432.510 19246.01
#> 2021.9616 14338.22 11127.71 17548.74 9428.164 19248.28
#> 2021.9644 14339.21 11126.53 17551.89 9425.845 19252.58
#> 2021.9671 14339.20 11124.36 17554.04 9422.522 19255.87
#> 2021.9699 14342.18 11125.18 17559.18 9422.204 19262.16
#> 2021.9726 14342.17 11123.01 17561.32 9418.889 19265.44
#> 2021.9753 14342.15 11120.84 17563.47 9415.576 19268.73
#> 2021.9781 14342.13 11118.66 17565.60 9412.262 19272.01
#> 2021.9808 14342.13 11116.50 17567.75 9408.958 19275.29
#> 2021.9836 14344.12 11116.34 17571.90 9407.663 19280.58
#> 2021.9863 14344.12 11114.19 17574.05 9404.369 19283.87
#> 2021.9890 14344.15 11112.07 17576.23 9401.114 19287.19
#> 2021.9918 14344.18 11109.96 17578.41 9397.860 19290.50
#> 2021.9945 14344.21 11107.84 17580.59 9394.609 19293.82
#> 2021.9973 14344.20 11105.69 17582.72 9391.319 19297.09
#> 2022.0000 14344.20 11103.53 17584.86 9388.031 19300.36
#> 2022.0027 14347.18 11104.38 17589.99 9387.739 19306.62
#> 2022.0055 14347.17 11102.22 17592.11 9384.450 19309.88
#> 2022.0082 14347.15 11100.06 17594.23 9381.160 19313.14
#> 2022.0110 14347.13 11097.91 17596.36 9377.872 19316.39
#> 2022.0137 14347.11 11095.75 17598.48 9374.587 19319.64
#> 2022.0164 14347.10 11093.60 17600.59 9371.304 19322.89
#> 2022.0192 14351.08 11095.45 17606.71 9372.025 19330.14
#> 2022.0219 14352.07 11094.31 17609.84 9369.756 19334.39
#> 2022.0247 14353.07 11093.17 17612.96 9367.487 19338.64
#> 2022.0274 14353.06 11091.03 17615.08 9364.220 19341.89
#> 2022.0301 14353.05 11088.89 17617.20 9360.956 19345.14
#> 2022.0329 14353.04 11086.76 17619.32 9357.694 19348.38
#> 2022.0356 14353.03 11084.62 17621.43 9354.431 19351.62
#> 2022.0384 14354.01 11083.48 17624.54 9352.162 19355.85
#> 2022.0411 14354.01 11081.36 17626.67 9348.922 19359.11
#> 2022.0438 14355.02 11080.25 17629.80 9346.685 19363.36
#> 2022.0466 14356.01 11079.11 17632.91 9344.430 19367.59
#> 2022.0493 14356.00 11076.99 17635.02 9341.180 19370.82
#> 2022.0521 14355.99 11074.86 17637.12 9337.933 19374.05
#> 2022.0548 14355.98 11072.73 17639.23 9334.687 19377.28
#> 2022.0575 14355.98 11070.61 17641.34 9331.447 19380.51
#> 2022.0603 14356.97 11069.49 17644.45 9329.208 19384.73
#> 2022.0630 14356.96 11067.38 17646.55 9325.973 19387.96
#> 2022.0658 14356.96 11065.26 17648.66 9322.737 19391.18
#> 2022.0685 14356.95 11063.14 17650.76 9319.503 19394.40
#> 2022.0712 14356.94 11061.02 17652.86 9316.272 19397.61
#> 2022.0740 14357.93 11059.91 17655.96 9314.041 19401.82
#> 2022.0767 14357.93 11057.80 17658.06 9310.815 19405.04
#> 2022.0795 14358.92 11056.69 17661.16 9308.593 19409.25
#> 2022.0822 14358.91 11054.58 17663.25 9305.368 19412.46
#> 2022.0849 14358.90 11052.47 17665.34 9302.146 19415.66
#> 2022.0877 14358.90 11050.36 17667.44 9298.930 19418.87
#> 2022.0904 14358.90 11048.26 17669.53 9295.717 19422.08
#> 2022.0932 14357.89 11045.16 17670.62 9291.500 19424.28
#> 2022.0959 14357.88 11043.06 17672.71 9288.291 19427.48
#> 2022.0986 14357.88 11040.96 17674.81 9285.087 19430.68
#> 2022.1014 14356.88 11037.86 17675.90 9280.882 19432.88
#> 2022.1041 14356.88 11035.77 17677.99 9277.680 19436.08
#> 2022.1068 14356.88 11033.68 17680.08 9274.480 19439.27
#> 2022.1096 14356.87 11031.58 17682.16 9271.283 19442.46
#> 2022.1123 14356.88 11029.50 17684.25 9268.092 19445.66
#> 2022.1151 14357.88 11028.41 17687.34 9265.901 19449.85
#> 2022.1178 14357.88 11026.33 17689.43 9262.715 19453.05
#> 2022.1205 14358.88 11025.25 17692.51 9260.527 19457.23
#> 2022.1233 14359.88 11024.17 17695.60 9258.345 19461.42
#> 2022.1260 14359.89 11022.09 17697.68 9255.164 19464.61
#> 2022.1288 14359.89 11020.01 17699.77 9251.986 19467.79
#> 2022.1315 14359.89 11017.93 17701.84 9248.803 19470.97
#> 2022.1342 14359.88 11015.85 17703.92 9245.621 19474.14
#> 2022.1370 14362.88 11016.76 17708.99 9245.440 19480.31
#> 2022.1397 14362.87 11014.68 17711.06 9242.260 19483.48
#> 2022.1425 14362.86 11012.60 17713.12 9239.082 19486.64
#> 2022.1452 14362.86 11010.52 17715.19 9235.906 19489.81
#> 2022.1479 14362.85 11008.45 17717.25 9232.732 19492.97
#> 2022.1507 14362.84 11006.37 17719.32 9229.560 19496.13
#> 2022.1534 14366.84 11008.29 17725.38 9230.390 19503.29
#> 2022.1562 14366.83 11006.22 17727.44 9227.224 19506.44
#> 2022.1589 14366.83 11004.15 17729.50 9224.058 19509.60
#> 2022.1616 14362.82 10998.08 17727.56 9216.894 19508.75
#> 2022.1644 14362.82 10996.01 17729.62 9213.731 19511.90
#> 2022.1671 14362.81 10993.94 17731.68 9210.571 19515.05
#> 2022.1699 14366.80 10995.87 17737.73 9211.412 19522.19
#> 2022.1726 14369.79 10996.80 17742.78 9211.252 19528.33
#> 2022.1753 14369.78 10994.74 17744.83 9208.096 19531.47
#> 2022.1781 14370.78 10993.67 17747.88 9205.944 19535.61
#> 2022.1808 14370.77 10991.61 17749.93 9202.790 19538.75
#> 2022.1836 14370.76 10989.54 17751.97 9199.636 19541.88
#> 2022.1863 14370.75 10987.48 17754.01 9196.483 19545.01
#> 2022.1890 14371.74 10986.42 17757.06 9194.336 19549.14
#> 2022.1918 14373.73 10986.36 17761.10 9193.191 19554.27
#> 2022.1945 14373.73 10984.30 17763.15 9190.052 19557.40
#> 2022.1973 14372.73 10981.26 17764.20 9185.922 19559.54
#> 2022.2000 14372.73 10979.21 17766.25 9182.793 19562.67
#> 2022.2027 14372.73 10977.17 17768.30 9179.666 19565.80
#> 2022.2055 14372.73 10975.13 17770.34 9176.540 19568.93
#> 2022.2082 14373.75 10974.09 17773.40 9174.427 19573.07
#> 2022.2110 14375.76 10974.07 17777.46 9173.316 19578.20
#> 2022.2137 14375.77 10972.04 17779.51 9170.208 19581.34
#> 2022.2164 14376.78 10971.00 17782.55 9168.091 19585.46
#> 2022.2192 14376.78 10968.96 17784.59 9164.973 19588.58
#> 2022.2219 14376.77 10966.91 17786.62 9161.847 19591.69
#> 2022.2247 14376.76 10964.87 17788.64 9158.722 19594.79
#> 2022.2274 14376.75 10962.82 17790.67 9155.600 19597.89
#> 2022.2301 14376.72 10960.76 17792.68 9152.466 19600.98
#> 2022.2329 14377.66 10959.67 17795.65 9150.296 19605.03
#> 2022.2356 14377.60 10957.58 17797.62 9147.128 19608.07
#> 2022.2384 14377.58 10955.53 17799.63 9144.000 19611.16
#> 2022.2411 14377.55 10953.47 17801.64 9140.874 19614.24
#> 2022.2438 14377.53 10951.42 17803.64 9137.750 19617.31
#> 2022.2466 14378.51 10950.38 17806.65 9135.633 19621.40
#> 2022.2493 14377.50 10947.34 17807.66 9131.522 19623.48
#> 2022.2521 14377.48 10945.30 17809.67 9128.409 19626.56
#> 2022.2548 14377.46 10943.25 17811.67 9125.292 19629.63
#> 2022.2575 14378.45 10942.22 17814.68 9123.185 19633.71
#> 2022.2603 14378.43 10940.18 17816.68 9120.077 19636.78
#> 2022.2630 14378.41 10938.14 17818.68 9116.972 19639.85
#> 2022.2658 14378.38 10936.09 17820.67 9113.852 19642.91
#> 2022.2685 14379.38 10935.08 17823.69 9111.772 19647.00
#> 2022.2712 14379.35 10933.03 17825.67 9108.655 19650.05
#> 2022.2740 14378.31 10929.98 17826.65 9104.537 19652.09
#> 2022.2767 14379.28 10928.93 17829.63 9102.421 19656.13
#> 2022.2795 14379.24 10926.88 17831.60 9099.307 19659.18
#> 2022.2822 14379.20 10924.83 17833.58 9096.194 19662.22
#> 2022.2849 14379.17 10922.78 17835.55 9093.082 19665.25
#> 2022.2877 14379.13 10920.73 17837.52 9089.971 19668.28
#> 2022.2904 14379.09 10918.69 17839.49 9086.864 19671.32
#> 2022.2932 14379.05 10916.65 17841.46 9083.758 19674.35
#> 2022.2959 14380.02 10915.60 17844.43 9081.653 19678.38
#> 2022.2986 14379.98 10913.56 17846.40 9078.550 19681.41
#> 2022.3014 14379.94 10911.52 17848.36 9075.449 19684.43
#> 2022.3041 14380.90 10910.48 17851.33 9073.349 19688.46
#> 2022.3068 14374.87 10902.44 17847.29 9064.251 19685.48
#> 2022.3096 14399.33 10924.91 17873.75 9085.659 19713.00
#> 2022.3123 14398.80 10922.38 17875.22 9082.070 19715.53
#> 2022.3151 14399.77 10921.35 17878.19 9079.988 19719.56
#> 2022.3178 14399.74 10919.33 17880.16 9076.906 19722.58
#> 2022.3205 14399.71 10917.30 17882.12 9073.825 19725.60
#> 2022.3233 14401.68 10917.28 17886.09 9072.746 19730.62
#> 2022.3260 14400.16 10913.76 17886.56 9068.177 19732.15
#> 2022.3288 14398.63 10910.25 17887.02 9063.604 19733.67
#> 2022.3315 14383.61 10893.23 17873.99 9045.531 19721.68
#> 2022.3342 14398.58 10906.21 17890.95 9057.466 19739.70
#> 2022.3370 14398.56 10904.20 17892.92 9054.403 19742.72
#> 2022.3397 14398.54 10902.19 17894.88 9051.341 19745.74
#> 2022.3425 14398.52 10900.19 17896.85 9048.282 19748.75
#> 2022.3452 14385.50 10885.18 17885.81 9032.226 19738.77
#> 2022.3479 14398.48 10896.18 17900.78 9042.172 19754.78
#> 2022.3507 14385.46 10881.17 17889.74 9026.119 19744.79
#> 2022.3534 14398.44 10892.17 17904.70 9036.068 19760.80
#> 2022.3562 14398.42 10890.17 17906.66 9033.022 19763.81
#> 2022.3589 14398.40 10888.18 17908.62 9029.978 19766.82
#> 2022.3616 14399.38 10887.18 17911.58 9027.935 19770.83
#> 2022.3644 14387.37 10873.19 17901.54 9012.894 19761.84
#> 2022.3671 14400.35 10884.19 17916.50 9022.855 19777.84
#> 2022.3699 14400.33 10882.20 17918.46 9019.815 19780.84
#> 2022.3726 14387.31 10867.21 17907.41 9003.776 19770.84
#> 2022.3753 14387.29 10865.21 17909.36 9000.740 19773.84
#> 2022.3781 14387.27 10863.22 17911.31 8997.704 19776.83
#> 2022.3808 14403.25 10877.23 17929.27 9010.674 19795.83
#> 2022.3836 14402.24 10874.25 17930.22 9006.649 19797.83
#> 2022.3863 14401.22 10871.27 17931.18 9002.623 19799.82
#> 2022.3890 14403.21 10871.28 17935.13 9001.598 19804.81
#> 2022.3918 14403.19 10869.30 17937.07 8998.573 19807.80
#> 2022.3945 14403.17 10867.32 17939.03 8995.555 19810.79
#> 2022.3973 14403.16 10865.34 17940.98 8992.538 19813.78
#> 2022.4000 14403.15 10863.37 17942.93 8989.525 19816.77
#> 2022.4027 14403.14 10861.40 17944.88 8986.516 19819.77
#> 2022.4055 14402.63 10858.93 17946.33 8983.007 19822.25
#> 2022.4082 14404.12 10858.46 17949.78 8981.504 19826.74
#> 2022.4110 14404.62 10857.00 17952.24 8979.005 19830.24
#> 2022.4137 14404.62 10855.05 17954.20 8976.016 19833.23
#> 2022.4164 14404.63 10853.10 17956.16 8973.029 19836.23
#> 2022.4192 14405.13 10851.64 17958.62 8970.539 19839.72
#> 2022.4219 14406.63 10851.19 17962.07 8969.050 19844.21
#> 2022.4247 14405.13 10847.74 17962.53 8964.565 19845.70
#> 2022.4274 14405.13 10845.78 17964.47 8961.576 19848.68
#> 2022.4301 14406.12 10844.82 17967.42 8959.586 19852.66
#> 2022.4329 14406.11 10842.87 17969.36 8956.597 19855.63
#> 2022.4356 14406.11 10840.91 17971.30 8953.609 19858.60
#> 2022.4384 14407.60 10840.45 17974.74 8952.122 19863.07
#> 2022.4411 14407.09 10838.00 17976.18 8948.633 19865.54
#> 2022.4438 14407.07 10836.04 17978.11 8945.645 19868.50
#> 2022.4466 14408.06 10835.08 17981.04 8943.661 19872.46
#> 2022.4493 14408.06 10833.14 17982.99 8940.690 19875.44
#> 2022.4521 14408.07 10831.21 17984.94 8937.730 19878.42
#> 2022.4548 14408.08 10829.28 17986.89 8934.771 19881.40
#> 2022.4575 14408.09 10827.35 17988.84 8931.814 19884.38
#> 2022.4603 14409.10 10826.42 17991.79 8929.858 19888.35
#> 2022.4630 14409.11 10824.48 17993.73 8926.898 19891.32
#> 2022.4658 14410.11 10823.55 17996.67 8924.938 19895.28
#> 2022.4685 14409.11 10820.62 17997.61 8920.980 19897.25
#> 2022.4712 14409.13 10818.69 17999.56 8918.032 19900.22
#> 2022.4740 14409.14 10816.77 18001.50 8915.086 19903.19
#> 2022.4767 14410.15 10815.85 18004.45 8913.141 19907.16
#> 2022.4795 14410.19 10813.96 18006.42 8910.230 19910.15
#> 2022.4822 14410.23 10812.07 18008.40 8907.319 19913.15
#> 2022.4849 14410.24 10810.15 18010.33 8904.374 19916.11
#> 2022.4877 14397.25 10795.23 17999.27 8888.430 19906.06
#> 2022.4904 14397.25 10793.30 18001.20 8885.488 19909.02
#> 2022.4932 14397.26 10791.38 18003.13 8882.547 19911.97
#> 2022.4959 14412.26 10804.46 18020.06 8894.603 19929.92
#> 2022.4986 14409.67 10799.94 18019.39 8889.067 19930.27
#> 2022.5014 14405.13 10793.48 18016.78 8881.584 19928.67
#> 2022.5041 14405.18 10791.60 18018.75 8878.694 19931.66
#> 2022.5068 14405.23 10789.74 18020.73 8875.810 19934.65
#> 2022.5096 14405.29 10787.88 18022.71 8872.932 19937.65
#> 2022.5123 14405.35 10786.02 18024.68 8870.055 19940.64
#> 2022.5151 14405.41 10784.16 18026.66 8867.181 19943.64
#> 2022.5178 14405.47 10782.30 18028.64 8864.307 19946.63
#> 2022.5205 14408.51 10783.43 18033.60 8864.422 19952.61
#> 2022.5233 14408.56 10781.56 18035.56 8861.538 19955.58
#> 2022.5260 14408.60 10779.69 18037.52 8858.653 19958.55
#> 2022.5288 14408.65 10777.82 18039.48 8855.773 19961.52
#> 2022.5315 14408.69 10775.95 18041.44 8852.893 19964.50
#> 2022.5342 14408.74 10774.09 18043.39 8850.016 19967.46
#> 2022.5370 14408.79 10772.22 18045.35 8847.140 19970.43
#> 2022.5397 14415.83 10777.36 18054.31 8851.265 19980.40
#> 2022.5425 14415.88 10775.49 18056.26 8848.392 19983.36
#> 2022.5452 14409.92 10767.63 18052.21 8839.518 19980.32
#> 2022.5479 14410.96 10766.77 18055.16 8837.645 19984.28
#> 2022.5507 14411.01 10764.91 18057.11 8834.777 19987.24
#> 2022.5534 14411.05 10763.05 18059.06 8831.910 19990.20
#> 2022.5562 14412.10 10762.19 18062.01 8830.045 19994.16
#> 2022.5589 14412.15 10760.33 18063.96 8827.181 19997.11
#> 2022.5616 14412.19 10758.48 18065.91 8824.318 20000.07
#> 2022.5644 14413.23 10757.62 18068.85 8822.455 20004.01
#> 2022.5671 14413.28 10755.77 18070.79 8819.595 20006.97
#> 2022.5699 14413.33 10753.91 18072.74 8816.737 20009.92
#> 2022.5726 14413.37 10752.06 18074.68 8813.881 20012.86
#> 2022.5753 14414.41 10751.21 18077.62 8812.024 20016.81
#> 2022.5781 14415.45 10750.35 18080.55 8810.162 20020.74
#> 2022.5808 14413.49 10746.49 18080.49 8805.302 20021.68
#> 2022.5836 14413.52 10744.63 18082.42 8802.441 20024.61
#> 2022.5863 14415.57 10744.78 18086.35 8801.589 20029.55
#> 2022.5890 14415.61 10742.94 18088.29 8798.739 20032.48
#> 2022.5918 14415.65 10741.09 18090.22 8795.890 20035.42
#> 2022.5945 14417.70 10741.24 18094.15 8795.046 20040.35
#> 2022.5973 14418.75 10740.40 18097.09 8793.206 20044.29
#> 2022.6000 14417.79 10737.56 18098.02 8789.362 20046.22
#> 2022.6027 14418.84 10736.72 18100.96 8787.522 20050.15
#> 2022.6055 14418.88 10734.88 18102.89 8784.686 20053.08
#> 2022.6082 14418.93 10733.04 18104.82 8781.849 20056.01
#> 2022.6110 14418.98 10731.20 18106.75 8779.014 20058.94
#> 2022.6137 14419.02 10729.37 18108.68 8776.180 20061.86
#> 2022.6164 14419.07 10727.53 18110.60 8773.344 20064.79
#> 2022.6192 14419.11 10725.69 18112.53 8770.513 20067.71
#> 2022.6219 14421.18 10725.88 18116.48 8769.706 20072.65
#> 2022.6247 14421.22 10724.04 18118.40 8766.872 20075.57
#> 2022.6274 14421.26 10722.20 18120.32 8764.040 20078.48
#> 2022.6301 14421.30 10720.37 18122.23 8761.209 20081.39
#> 2022.6329 14421.34 10718.53 18124.15 8758.380 20084.30
#> 2022.6356 14421.38 10716.69 18126.07 8755.552 20087.21
#> 2022.6384 14421.42 10714.86 18127.98 8752.723 20090.11
#> 2022.6411 14421.45 10713.02 18129.89 8749.895 20093.01
#> 2022.6438 14421.49 10711.19 18131.80 8747.069 20095.92
#> 2022.6466 14421.53 10709.35 18133.71 8744.247 20098.82
#> 2022.6493 14421.57 10707.52 18135.62 8741.426 20101.72
#> 2022.6521 14421.61 10705.70 18137.53 8738.607 20104.62
#> 2022.6548 14421.64 10703.86 18139.43 8735.779 20107.51
#> 2022.6575 14421.68 10702.02 18141.33 8732.957 20110.40
#> 2022.6603 14421.71 10700.19 18143.24 8730.139 20113.29
#> 2022.6630 14421.76 10698.38 18145.15 8727.334 20116.19
#> 2022.6658 14421.81 10696.56 18147.07 8724.533 20119.09
#> 2022.6685 14421.87 10694.75 18148.98 8721.734 20122.00
#> 2022.6712 14421.91 10692.93 18150.88 8718.924 20124.89
#> 2022.6740 14421.94 10691.10 18152.78 8716.111 20127.77
#> 2022.6767 14423.97 10691.27 18156.68 8715.300 20132.65
#> 2022.6795 14424.01 10689.44 18158.57 8712.486 20135.53
#> 2022.6822 14423.04 10686.62 18159.46 8708.678 20137.41
#> 2022.6849 14423.08 10684.80 18161.36 8705.870 20140.28
#> 2022.6877 14423.11 10682.97 18163.25 8703.064 20143.16
#> 2022.6904 14423.14 10681.15 18165.14 8700.256 20146.03
#> 2022.6932 14425.17 10681.32 18169.02 8699.448 20150.90
#> 2022.6959 14432.20 10686.50 18177.91 8703.643 20160.77
#> 2022.6986 14432.24 10684.68 18179.80 8700.845 20163.64
#> 2022.7014 14432.28 10682.87 18181.69 8698.049 20166.51
#> 2022.7041 14432.32 10681.05 18183.58 8695.254 20169.38
#> 2022.7068 14432.35 10679.24 18185.47 8692.461 20172.25
#> 2022.7096 14432.39 10677.42 18187.35 8689.666 20175.11
#> 2022.7123 14430.42 10673.60 18187.23 8684.864 20175.97
#> 2022.7151 14431.44 10672.78 18190.10 8683.064 20179.82
#> 2022.7178 14432.47 10671.96 18192.98 8681.265 20183.67
#> 2022.7205 14428.50 10666.14 18190.86 8674.473 20182.53
#> 2022.7233 14428.53 10664.33 18192.74 8671.682 20185.38
#> 2022.7260 14428.56 10662.52 18194.61 8668.893 20188.24
#> 2022.7288 14423.60 10655.71 18191.49 8661.105 20186.09
#> 2022.7315 14410.63 10640.89 18180.36 8645.316 20175.94
#> 2022.7342 14410.65 10639.08 18182.23 8642.525 20178.78
#> 2022.7370 14424.68 10651.26 18198.10 8653.736 20195.62
#> 2022.7397 14424.71 10649.45 18199.97 8650.953 20198.47
#> 2022.7425 14424.72 10647.62 18201.81 8648.145 20201.29
#> 2022.7452 14424.72 10645.79 18203.66 8645.338 20204.10
#> 2022.7479 14425.72 10644.95 18206.49 8643.530 20207.92
#> 2022.7507 14425.75 10643.14 18208.36 8640.747 20210.75
#> 2022.7534 14425.78 10641.33 18210.22 8637.966 20213.58
#> 2022.7562 14424.81 10638.53 18211.09 8634.192 20215.42
#> 2022.7589 14423.84 10635.73 18211.95 8630.419 20217.26
#> 2022.7616 14423.87 10633.92 18213.82 8627.648 20220.10
#> 2022.7644 14423.90 10632.12 18215.68 8624.877 20222.93
#> 2022.7671 14437.94 10644.32 18231.55 8636.109 20239.76
#> 2022.7699 14423.96 10628.52 18219.40 8619.336 20228.59
#> 2022.7726 14424.99 10627.72 18222.26 8617.564 20232.41
#> 2022.7753 14425.02 10625.92 18224.12 8614.802 20235.24
#> 2022.7781 14425.05 10624.13 18225.98 8612.036 20238.07
#> 2022.7808 14425.08 10622.33 18227.84 8609.274 20240.90
#> 2022.7836 14425.12 10620.54 18229.70 8606.513 20243.72
#> 2022.7863 14425.15 10618.74 18231.55 8603.754 20246.54
#> 2022.7890 14426.18 10617.95 18234.41 8601.996 20250.37
#> 2022.7918 14427.22 10617.16 18237.27 8600.242 20254.19
#> 2022.7945 14427.25 10615.37 18239.13 8597.490 20257.01
#> 2022.7973 14427.28 10613.58 18240.98 8594.736 20259.83
#> 2022.8000 14427.34 10611.82 18242.86 8592.008 20262.67
#> 2022.8027 14427.40 10610.06 18244.73 8589.281 20265.51
#> 2022.8055 14427.45 10608.29 18246.61 8586.553 20268.35
#> 2022.8082 14429.50 10608.52 18250.47 8585.818 20273.17
#> 2022.8110 14430.48 10607.68 18253.27 8584.020 20276.93
#> 2022.8137 14432.46 10607.85 18257.07 8583.224 20281.69
#> 2022.8164 14431.44 10605.01 18257.86 8579.427 20283.45
#> 2022.8192 14431.42 10603.18 18259.66 8576.635 20286.21
#> 2022.8219 14431.40 10601.35 18261.46 8573.843 20288.97
#> 2022.8247 14432.38 10600.52 18264.25 8572.048 20292.72
#> 2022.8274 14433.36 10599.68 18267.04 8570.258 20296.47
#> 2022.8301 14433.35 10597.86 18268.84 8567.473 20299.22
#> 2022.8329 14435.38 10598.07 18272.68 8566.730 20304.02
#> 2022.8356 14435.36 10596.25 18274.47 8563.948 20306.77
#> 2022.8384 14435.35 10594.43 18276.27 8561.170 20309.53
#> 2022.8411 14435.34 10592.61 18278.06 8558.393 20312.28
#> 2022.8438 14435.33 10590.79 18279.86 8555.618 20315.03
#> 2022.8466 14434.35 10588.01 18280.69 8551.879 20316.82
#> 2022.8493 14434.34 10586.19 18282.49 8549.109 20319.57
#> 2022.8521 14434.36 10584.41 18284.31 8546.373 20322.35
#> 2022.8548 14435.35 10583.60 18287.11 8544.603 20326.10
#> 2022.8575 14435.34 10581.78 18288.90 8541.834 20328.85
#> 2022.8603 14435.33 10579.97 18290.69 8539.066 20331.59
#> 2022.8630 14435.31 10578.15 18292.47 8536.297 20334.33
#> 2022.8658 14435.33 10576.37 18294.29 8533.559 20337.10
#> 2022.8685 14436.31 10575.55 18297.07 8531.787 20340.83
#> 2022.8712 14437.29 10574.73 18299.85 8530.016 20344.56
#> 2022.8740 14437.30 10572.95 18301.66 8527.282 20347.33
#> 2022.8767 14437.32 10571.17 18303.47 8524.550 20350.09
#> 2022.8795 14437.34 10569.39 18305.28 8521.818 20352.85
#> 2022.8822 14438.31 10568.56 18308.05 8520.045 20356.57
#> 2022.8849 14437.28 10565.74 18308.82 8516.275 20358.29
#> 2022.8877 14438.27 10564.94 18311.60 8514.517 20362.02
#> 2022.8904 14438.25 10563.13 18313.38 8511.761 20364.75
#> 2022.8932 14440.24 10563.32 18317.15 8511.003 20369.47
#> 2022.8959 14440.22 10561.51 18318.93 8508.246 20372.19
#> 2022.8986 14440.20 10559.70 18320.70 8505.491 20374.91
#> 2022.9014 14440.18 10557.90 18322.47 8502.737 20377.63
#> 2022.9041 14441.10 10557.02 18325.17 8500.914 20381.28
#> 2022.9068 14443.16 10557.29 18329.02 8500.239 20386.07
#> 2022.9096 14443.14 10555.49 18330.79 8497.489 20388.79
#> 2022.9123 14446.13 10556.69 18335.56 8497.744 20394.51
#> 2022.9151 14446.11 10554.89 18337.34 8495.000 20397.22
#> 2022.9178 14446.10 10553.09 18339.11 8492.258 20399.94
#> 2022.9205 14446.08 10551.29 18340.88 8489.515 20402.65
#> 2022.9233 14447.07 10550.50 18343.65 8487.775 20406.37
#> 2022.9260 14448.06 10549.71 18346.42 8486.043 20410.09
#> 2022.9288 14449.06 10548.92 18349.19 8484.310 20413.80
#> 2022.9315 14449.04 10547.13 18350.96 8481.575 20416.51
#> 2022.9342 14449.03 10545.34 18352.73 8478.844 20419.23
#> 2022.9370 14449.03 10543.55 18354.50 8476.115 20421.94
#> 2022.9397 14449.01 10541.76 18356.27 8473.382 20424.64
#> 2022.9425 14449.00 10539.97 18358.03 8470.652 20427.35
#> 2022.9452 14450.99 10540.18 18361.80 8469.927 20432.06
#> 2022.9479 14450.98 10538.40 18363.57 8467.202 20434.76
#> 2022.9507 14453.97 10539.61 18368.33 8467.478 20440.47
#> 2022.9534 14453.96 10537.83 18370.10 8464.756 20443.17
#> 2022.9562 14453.96 10536.05 18371.86 8462.035 20445.88
#> 2022.9589 14453.95 10534.27 18373.62 8459.316 20448.58
#> 2022.9616 14452.91 10531.46 18374.36 8455.570 20450.25
#> 2022.9644 14453.90 10530.68 18377.12 8453.850 20453.95
#> 2022.9671 14453.88 10528.89 18378.87 8451.125 20456.64
#> 2022.9699 14456.87 10530.11 18383.63 8451.405 20462.33
#> 2022.9726 14456.85 10528.32 18385.38 8448.686 20465.02
#> 2022.9753 14456.84 10526.54 18387.13 8445.968 20467.71
#> 2022.9781 14456.82 10524.76 18388.88 8443.249 20470.39
#> 2022.9808 14456.81 10522.98 18390.64 8440.539 20473.08
#> 2022.9836 14458.81 10523.21 18394.40 8439.835 20477.78
#> 2022.9863 14458.80 10521.44 18396.16 8437.133 20480.47
#> 2022.9890 14458.84 10519.71 18397.96 8434.468 20483.20
#> 2022.9918 14458.87 10517.98 18399.75 8431.804 20485.93
#> 2022.9945 14458.90 10516.25 18401.55 8429.141 20488.66
#> 2022.9973 14458.89 10514.48 18403.30 8426.438 20491.34
#> 2023.0000 14458.88 10512.71 18405.05 8423.737 20494.03
#> 2023.0027 14461.87 10513.94 18409.80 8424.031 20499.70
#> 2023.0055 14461.85 10512.16 18411.54 8421.326 20502.38
#> 2023.0082 14461.83 10510.39 18413.28 8418.620 20505.05
#> 2023.0110 14461.82 10508.61 18415.02 8415.915 20507.72
#> 2023.0137 14461.80 10506.84 18416.76 8413.211 20510.39
#> 2023.0164 14461.78 10505.07 18418.50 8410.509 20513.06
#> 2023.0192 14465.77 10507.30 18424.24 8411.810 20519.73
#> 2023.0219 14466.76 10506.54 18426.99 8410.119 20523.40
#> 2023.0247 14467.75 10505.77 18429.73 8408.429 20527.07
#> 2023.0274 14467.74 10504.01 18431.47 8405.739 20529.75
#> 2023.0301 14467.73 10502.25 18433.22 8403.051 20532.42
#> 2023.0329 14467.72 10500.49 18434.96 8400.363 20535.09
#> 2023.0356 14467.71 10498.73 18436.70 8397.674 20537.75
#> 2023.0384 14468.69 10497.96 18439.43 8395.979 20541.41
#> 2023.0411 14468.70 10496.22 18441.18 8393.311 20544.09
#> 2023.0438 14469.71 10495.48 18443.94 8391.645 20547.77
#> 2023.0466 14470.70 10494.72 18446.67 8389.961 20551.43
#> 2023.0493 14470.69 10492.96 18448.41 8387.281 20554.09
#> 2023.0521 14470.68 10491.21 18450.15 8384.602 20556.75
#> 2023.0548 14470.67 10489.45 18451.88 8381.924 20559.41
#> 2023.0575 14470.66 10487.70 18453.62 8379.250 20562.07
#> 2023.0603 14471.66 10486.95 18456.36 8377.578 20565.73
#> 2023.0630 14471.65 10485.20 18458.10 8374.907 20568.39
#> 2023.0658 14471.64 10483.45 18459.83 8372.236 20571.05
#> 2023.0685 14471.63 10481.71 18461.56 8369.565 20573.70
#> 2023.0712 14471.63 10479.96 18463.30 8366.895 20576.36
#> 2023.0740 14472.62 10479.21 18466.03 8365.226 20580.01
#> 2023.0767 14472.61 10477.46 18467.76 8362.560 20582.66
#> 2023.0795 14473.61 10476.72 18470.49 8360.898 20586.32
#> 2023.0822 14473.60 10474.98 18472.22 8358.232 20588.97
#> 2023.0849 14473.59 10473.23 18473.95 8355.567 20591.61
#> 2023.0877 14473.59 10471.49 18475.68 8352.908 20594.26
#> 2023.0904 14473.58 10469.75 18477.41 8350.251 20596.91
#> 2023.0932 14472.57 10467.01 18478.14 8346.590 20598.56
#> 2023.0959 14472.57 10465.27 18479.87 8343.935 20601.21
#> 2023.0986 14472.57 10463.54 18481.60 8341.284 20603.86
#> 2023.1014 14471.57 10460.80 18482.33 8337.631 20605.50
#> 2023.1041 14471.56 10459.07 18484.06 8334.981 20608.15
#> 2023.1068 14471.56 10457.33 18485.79 8332.332 20610.79
#> 2023.1096 14471.56 10455.60 18487.52 8329.684 20613.43
#> 2023.1123 14471.56 10453.88 18489.25 8327.043 20616.08
#> 2023.1151 14472.56 10453.15 18491.98 8325.400 20619.73
#> 2023.1178 14472.57 10451.42 18493.71 8322.761 20622.37
#> 2023.1205 14473.57 10450.70 18496.43 8321.119 20626.01
#> 2023.1233 14474.57 10449.97 18499.16 8319.482 20629.65
#> 2023.1260 14474.57 10448.25 18500.89 8316.846 20632.30
#> 2023.1288 14474.57 10446.53 18502.62 8314.212 20634.94
#> 2023.1315 14474.57 10444.80 18504.34 8311.572 20637.57
#> 2023.1342 14474.57 10443.07 18506.06 8308.931 20640.20
#> 2023.1370 14477.56 10444.35 18510.78 8309.292 20645.83
#> 2023.1397 14477.56 10442.62 18512.49 8306.653 20648.46
#> 2023.1425 14477.55 10440.89 18514.21 8304.014 20651.08
#> 2023.1452 14477.54 10439.16 18515.92 8301.377 20653.71
#> 2023.1479 14477.54 10437.44 18517.63 8298.741 20656.33
#> 2023.1507 14477.53 10435.71 18519.35 8296.106 20658.95
#> 2023.1534 14481.52 10437.99 18525.06 8297.472 20665.57
#> 2023.1562 14481.52 10436.27 18526.77 8294.842 20668.20
#> 2023.1589 14481.51 10434.55 18528.48 8292.210 20670.82
#> 2023.1616 14477.51 10428.82 18526.19 8285.579 20669.43
#> 2023.1644 14477.50 10427.10 18527.90 8282.950 20672.05
#> 2023.1671 14477.49 10425.38 18529.61 8280.321 20674.67
#> 2023.1699 14481.49 10427.66 18535.32 8281.694 20681.28
#> 2023.1726 14484.48 10428.94 18540.02 8282.064 20686.89
#> 2023.1753 14484.47 10427.22 18541.72 8279.438 20689.50
#> 2023.1781 14485.46 10426.50 18544.43 8277.814 20693.11
#> 2023.1808 14485.46 10424.78 18546.13 8275.189 20695.72
#> 2023.1836 14485.44 10423.06 18547.83 8272.561 20698.33
#> 2023.1863 14485.43 10421.34 18549.53 8269.935 20700.93
#> 2023.1890 14486.42 10420.62 18552.23 8268.314 20704.53
#> 2023.1918 14488.41 10420.90 18555.93 8267.693 20709.14
#> 2023.1945 14488.41 10419.19 18557.63 8265.079 20711.74
#> 2023.1973 14487.41 10416.49 18558.34 8261.472 20713.36
#> 2023.2000 14487.42 10414.79 18560.05 8258.865 20715.97
#> 2023.2027 14487.42 10413.08 18561.75 8256.259 20718.58
#> 2023.2055 14487.42 10411.38 18563.46 8253.654 20721.19
#> 2023.2082 14488.43 10410.69 18566.18 8252.062 20724.80
#> 2023.2110 14490.45 10411.00 18569.89 8251.470 20729.42
#> 2023.2137 14490.46 10409.31 18571.61 8248.880 20732.04
#> 2023.2164 14491.46 10408.61 18574.31 8247.280 20735.64
#> 2023.2192 14491.46 10406.91 18576.01 8244.680 20738.24
#> 2023.2219 14491.45 10405.20 18577.70 8242.069 20740.83
#> 2023.2247 14491.44 10403.49 18579.39 8239.460 20743.42
#> 2023.2274 14491.43 10401.78 18581.08 8236.853 20746.01
#> 2023.2301 14491.41 10400.06 18582.76 8234.232 20748.58
#> 2023.2329 14492.35 10399.30 18585.39 8232.575 20752.12
#> 2023.2356 14492.29 10397.54 18587.03 8229.919 20754.65
#> 2023.2384 14492.26 10395.83 18588.70 8227.302 20757.22
#> 2023.2411 14492.24 10394.11 18590.37 8224.687 20759.79
#> 2023.2438 14492.22 10392.39 18592.04 8222.073 20762.36
#> 2023.2466 14493.20 10391.68 18594.72 8220.465 20765.94
#> 2023.2493 14492.19 10388.97 18595.40 8216.863 20767.51
#> 2023.2521 14492.17 10387.26 18597.08 8214.257 20770.08
#> 2023.2548 14492.15 10385.55 18598.75 8211.647 20772.65
#> 2023.2575 14493.13 10384.84 18601.42 8210.046 20776.22
#> 2023.2603 14493.12 10383.14 18603.09 8207.444 20778.79
#> 2023.2630 14493.10 10381.43 18604.77 8204.842 20781.35
#> 2023.2658 14493.07 10379.71 18606.42 8202.227 20783.90
#> 2023.2685 14494.07 10379.02 18609.12 8200.650 20787.49
#> 2023.2712 14494.04 10377.30 18610.77 8198.035 20790.04
#> 2023.2740 14493.00 10374.58 18611.42 8194.419 20791.58
#> 2023.2767 14493.96 10373.86 18614.07 8192.804 20795.12
#> 2023.2795 14493.93 10372.13 18615.72 8190.190 20797.66
#> 2023.2822 14493.89 10370.41 18617.37 8187.576 20800.20
#> 2023.2849 14493.85 10368.69 18619.01 8184.963 20802.74
#> 2023.2877 14493.81 10366.97 18620.66 8182.349 20805.28
#> 2023.2904 14493.78 10365.25 18622.30 8179.739 20807.81
#> 2023.2932 14493.74 10363.53 18623.95 8177.130 20810.35
#> 2023.2959 14494.70 10362.81 18626.59 8175.521 20813.88
#> 2023.2986 14494.66 10361.09 18628.24 8172.913 20816.42
#> 2023.3014 14494.63 10359.38 18629.88 8170.306 20818.95
#> 2023.3041 14495.59 10358.66 18632.52 8168.700 20822.48
#> 2023.3068 14489.55 10350.94 18628.16 8160.095 20819.01
#> 2023.3096 14514.02 10373.73 18654.30 8181.994 20846.04
#> 2023.3123 14513.48 10371.52 18655.45 8178.897 20848.07
#> 2023.3151 14514.46 10370.82 18658.10 8177.306 20851.61
#> 2023.3178 14514.43 10369.11 18659.74 8174.713 20854.14
#> 2023.3205 14514.40 10367.41 18661.39 8172.121 20856.68
#> 2023.3233 14516.37 10367.70 18665.04 8171.531 20861.21
#> 2023.3260 14514.85 10364.51 18665.19 8167.449 20862.24
#> 2023.3288 14513.32 10361.31 18665.33 8163.363 20863.28
#> 2023.3315 14498.29 10344.61 18651.98 8145.777 20850.81
#> 2023.3342 14513.27 10357.91 18668.63 8158.198 20868.34
#> 2023.3370 14513.25 10356.22 18670.28 8155.619 20870.87
#> 2023.3397 14513.22 10354.52 18671.92 8153.041 20873.41
#> 2023.3425 14513.20 10352.83 18673.57 8150.466 20875.94
#> 2023.3452 14500.18 10338.14 18662.22 8134.894 20865.47
#> 2023.3479 14513.16 10349.46 18676.87 8145.322 20881.00
#> 2023.3507 14500.14 10334.77 18665.52 8129.750 20870.53
#> 2023.3534 14513.12 10346.08 18680.16 8140.180 20886.06
#> 2023.3562 14513.10 10344.39 18681.81 8137.614 20888.59
#> 2023.3589 14513.09 10342.71 18683.46 8135.049 20891.12
#> 2023.3616 14514.07 10342.03 18686.11 8133.485 20894.65
#> 2023.3644 14502.05 10328.35 18675.76 8118.922 20885.18
#> 2023.3671 14515.03 10339.67 18690.40 8129.360 20900.71
#> 2023.3699 14515.01 10337.98 18692.05 8126.797 20903.23
#> 2023.3726 14501.99 10323.30 18680.69 8111.234 20892.75
#> 2023.3753 14501.97 10321.62 18682.33 8108.672 20895.28
#> 2023.3781 14501.95 10319.94 18683.97 8106.112 20897.80
#> 2023.3808 14517.94 10334.26 18701.61 8119.555 20916.32
#> 2023.3836 14516.92 10331.59 18702.26 8116.004 20917.84
#> 2023.3863 14515.91 10328.91 18702.90 8112.450 20919.37
#> 2023.3890 14517.89 10329.24 18706.55 8111.897 20923.89
#> 2023.3918 14517.87 10327.56 18708.19 8109.343 20926.40
#> 2023.3945 14517.86 10325.89 18709.83 8106.795 20928.92
#> 2023.3973 14517.85 10324.22 18711.47 8104.249 20931.44
#> 2023.4000 14517.84 10322.55 18713.12 8101.705 20933.97
#> 2023.4027 14517.83 10320.89 18714.76 8099.164 20936.49
#> 2023.4055 14517.32 10318.72 18715.91 8096.123 20938.51
#> 2023.4082 14518.81 10318.56 18719.06 8095.087 20942.53
#> 2023.4110 14519.31 10317.41 18721.21 8093.055 20945.56
#> 2023.4137 14519.31 10315.76 18722.86 8090.532 20948.09
#> 2023.4164 14519.32 10314.11 18724.52 8088.010 20950.62
#> 2023.4192 14519.81 10312.96 18726.67 8085.985 20953.65
#> 2023.4219 14521.31 10312.81 18729.82 8084.960 20957.67
#> 2023.4247 14519.82 10309.66 18729.97 8080.938 20958.69
#> 2023.4274 14519.81 10308.01 18731.62 8078.412 20961.21
#> 2023.4301 14520.81 10307.35 18734.26 8076.884 20964.73
#> 2023.4329 14520.80 10305.70 18735.90 8074.356 20967.24
#> 2023.4356 14520.79 10304.04 18737.54 8071.829 20969.75
#> 2023.4384 14522.28 10303.89 18740.68 8070.802 20973.76
#> 2023.4411 14521.77 10301.73 18741.81 8067.772 20975.77
#> 2023.4438 14521.76 10300.07 18743.45 8065.243 20978.27
#> 2023.4466 14522.75 10299.41 18746.08 8063.717 20981.78
#> 2023.4493 14522.75 10297.77 18747.73 8061.204 20984.30
#> 2023.4521 14522.76 10296.14 18749.38 8058.700 20986.82
#> 2023.4548 14522.77 10294.51 18751.03 8056.198 20989.34
#> 2023.4575 14522.78 10292.87 18752.69 8053.696 20991.86
#> 2023.4603 14523.79 10292.24 18755.34 8052.195 20995.39
#> 2023.4630 14523.79 10290.61 18756.98 8049.690 20997.90
#> 2023.4658 14524.80 10289.97 18759.63 8048.183 21001.41
#> 2023.4685 14523.80 10287.33 18760.27 8044.678 21002.92
#> 2023.4712 14523.81 10285.70 18761.92 8042.183 21005.44
#> 2023.4740 14523.82 10284.08 18763.57 8039.689 21007.96
#> 2023.4767 14524.83 10283.45 18766.22 8038.195 21011.47
#> 2023.4795 14524.88 10281.85 18767.90 8035.734 21014.02
#> 2023.4822 14524.92 10280.26 18769.58 8033.274 21016.57
#> 2023.4849 14524.93 10278.63 18771.22 8030.778 21019.08
#> 2023.4877 14511.93 10264.00 18759.86 8015.283 21008.58
#> 2023.4904 14511.94 10262.37 18761.50 8012.789 21011.09
#> 2023.4932 14511.94 10260.74 18763.14 8010.295 21013.59
#> 2023.4959 14526.94 10274.11 18779.78 8022.798 21031.09
#> 2023.4986 14524.35 10269.89 18778.82 8017.708 21031.00
#> 2023.5014 14519.81 10263.71 18775.91 8010.671 21028.95
#> 2023.5041 14519.86 10262.13 18777.59 8008.226 21031.50
#> 2023.5068 14519.92 10260.56 18779.28 8005.786 21034.05
#> 2023.5096 14519.98 10258.98 18780.97 8003.352 21036.60
#> 2023.5123 14520.04 10257.41 18782.66 8000.919 21039.15
#> 2023.5151 14520.09 10255.84 18784.35 7998.487 21041.70
#> 2023.5178 14520.15 10254.28 18786.03 7996.055 21044.25
#> 2023.5205 14523.20 10255.69 18790.71 7996.612 21049.79
#> 2023.5233 14523.25 10254.11 18792.38 7994.169 21052.32
#> 2023.5260 14523.29 10252.53 18794.05 7991.724 21054.85
#> 2023.5288 14523.33 10250.95 18795.72 7989.283 21057.39
#> 2023.5315 14523.38 10249.37 18797.39 7986.843 21059.92
#> 2023.5342 14523.43 10247.79 18799.06 7984.403 21062.45
#> 2023.5370 14523.47 10246.21 18800.73 7981.965 21064.98
#> 2023.5397 14530.52 10251.63 18809.40 7986.528 21074.51
#> 2023.5425 14530.56 10250.06 18811.07 7984.092 21077.03
#> 2023.5452 14524.61 10242.48 18806.74 7975.653 21073.56
#> 2023.5479 14525.65 10241.90 18809.40 7974.216 21077.08
#> 2023.5507 14525.69 10240.32 18811.07 7971.783 21079.61
#> 2023.5534 14525.74 10238.75 18812.73 7969.350 21082.13
#> 2023.5562 14526.79 10238.17 18815.40 7967.918 21085.65
#> 2023.5589 14526.83 10236.60 18817.06 7965.488 21088.18
#> 2023.5616 14526.88 10235.03 18818.73 7963.058 21090.70
#> 2023.5644 14527.92 10234.45 18821.39 7961.626 21094.21
#> 2023.5671 14527.97 10232.88 18823.05 7959.198 21096.73
#> 2023.5699 14528.01 10231.31 18824.72 7956.771 21099.25
#> 2023.5726 14528.06 10229.74 18826.38 7954.345 21101.77
#> 2023.5753 14529.10 10229.17 18829.04 7952.917 21105.28
#> 2023.5781 14530.14 10228.59 18831.69 7951.485 21108.79
#> 2023.5808 14528.18 10225.01 18831.34 7947.053 21109.30
#> 2023.5836 14528.21 10223.43 18832.99 7944.620 21111.80
#> 2023.5863 14530.25 10223.86 18836.64 7944.196 21116.31
#> 2023.5890 14530.30 10222.29 18838.30 7941.773 21118.82
#> 2023.5918 14530.34 10220.72 18839.96 7939.350 21121.33
#> 2023.5945 14532.38 10221.16 18843.61 7938.932 21125.84
#> 2023.5973 14533.43 10220.60 18846.27 7937.517 21129.35
#> 2023.6000 14532.48 10218.03 18846.92 7934.097 21130.86
#> 2023.6027 14533.52 10217.46 18849.58 7932.681 21134.36
#> 2023.6055 14533.57 10215.90 18851.24 7930.269 21136.87
#> 2023.6082 14533.62 10214.34 18852.89 7927.855 21139.38
#> 2023.6110 14533.66 10212.78 18854.54 7925.442 21141.88
#> 2023.6137 14533.71 10211.22 18856.20 7923.029 21144.39
#> 2023.6164 14533.75 10209.65 18857.85 7920.615 21146.89
#> 2023.6192 14533.80 10208.09 18859.50 7918.205 21149.39
#> 2023.6219 14535.86 10208.56 18863.17 7917.817 21153.91
#> 2023.6247 14535.90 10206.99 18864.82 7915.403 21156.41
#> 2023.6274 14535.94 10205.43 18866.46 7912.990 21158.90
#> 2023.6301 14535.98 10203.86 18868.11 7910.578 21161.39
#> 2023.6329 14536.02 10202.30 18869.75 7908.166 21163.88
#> 2023.6356 14536.07 10200.74 18871.39 7905.756 21166.37
#> 2023.6384 14536.10 10199.17 18873.03 7903.344 21168.86
#> 2023.6411 14536.14 10197.61 18874.67 7900.932 21171.35
#> 2023.6438 14536.18 10196.05 18876.31 7898.522 21173.83
#> 2023.6466 14536.22 10194.49 18877.95 7896.115 21176.32
#> 2023.6493 14536.26 10192.93 18879.59 7893.709 21178.81
#> 2023.6521 14536.30 10191.37 18881.23 7891.304 21181.29
#> 2023.6548 14536.33 10189.80 18882.85 7888.889 21183.77
#> 2023.6575 14536.36 10188.24 18884.49 7886.480 21186.24
#> 2023.6603 14536.40 10186.68 18886.12 7884.075 21188.72
#> 2023.6630 14536.45 10185.13 18887.77 7881.682 21191.21
#> 2023.6658 14536.50 10183.59 18889.41 7879.292 21193.71
#> 2023.6685 14536.55 10182.04 18891.06 7876.904 21196.20
#> 2023.6712 14536.59 10180.49 18892.69 7874.505 21198.68
#> 2023.6740 14536.63 10178.93 18894.32 7872.102 21201.15
#> 2023.6767 14538.66 10179.37 18897.95 7871.699 21205.62
#> 2023.6795 14538.69 10177.81 18899.58 7869.295 21208.09
#> 2023.6822 14537.73 10175.25 18900.20 7865.894 21209.56
#> 2023.6849 14537.76 10173.69 18901.83 7863.495 21212.03
#> 2023.6877 14537.80 10172.14 18903.46 7861.096 21214.50
#> 2023.6904 14537.83 10170.58 18905.08 7858.695 21216.96
#> 2023.6932 14539.86 10171.02 18908.70 7858.292 21221.42
#> 2023.6959 14546.89 10176.46 18917.32 7862.893 21230.89
#> 2023.6986 14546.93 10174.91 18918.95 7860.501 21233.35
#> 2023.7014 14546.97 10173.36 18920.57 7858.109 21235.82
#> 2023.7041 14547.00 10171.81 18922.20 7855.718 21238.29
#> 2023.7068 14547.04 10170.26 18923.82 7853.328 21240.75
#> 2023.7096 14547.07 10168.71 18925.44 7850.936 21243.21
#> 2023.7123 14545.10 10165.15 18925.06 7846.537 21243.67
#> 2023.7151 14546.13 10164.59 18927.67 7845.139 21247.12
#> 2023.7178 14547.15 10164.03 18930.28 7843.742 21250.57
#> 2023.7205 14543.19 10158.48 18927.90 7837.350 21249.02
#> 2023.7233 14543.22 10156.92 18929.51 7834.960 21251.48
#> 2023.7260 14543.25 10155.37 18931.13 7832.571 21253.93
#> 2023.7288 14538.28 10148.82 18927.74 7825.183 21251.38
#> 2023.7315 14525.31 10134.27 18916.35 7809.792 21240.83
#> 2023.7342 14525.34 10132.71 18917.96 7807.400 21243.28
#> 2023.7370 14539.36 10145.16 18933.57 7819.009 21259.72
#> 2023.7397 14539.40 10143.61 18935.18 7816.624 21262.17
#> 2023.7425 14539.40 10142.04 18936.77 7814.212 21264.59
#> 2023.7452 14539.41 10140.46 18938.35 7811.802 21267.01
#> 2023.7479 14540.41 10139.89 18940.93 7810.389 21270.43
#> 2023.7507 14540.43 10138.33 18942.54 7808.002 21272.87
#> 2023.7534 14540.46 10136.78 18944.14 7805.616 21275.31
#> 2023.7562 14539.49 10134.24 18944.75 7802.237 21276.75
#> 2023.7589 14538.53 10131.69 18945.36 7798.858 21278.19
#> 2023.7616 14538.56 10130.15 18946.96 7796.480 21280.63
#> 2023.7644 14538.59 10128.61 18948.57 7794.102 21283.08
#> 2023.7671 14552.62 10141.06 18964.18 7805.726 21299.52
#> 2023.7699 14538.65 10125.52 18951.78 7789.345 21287.95
#> 2023.7726 14539.67 10124.97 18954.38 7787.965 21291.38
#> 2023.7753 14539.71 10123.43 18955.99 7785.594 21293.82
#> 2023.7781 14539.74 10121.89 18957.59 7783.219 21296.26
#> 2023.7808 14539.77 10120.35 18959.19 7780.847 21298.69
#> 2023.7836 14539.80 10118.81 18960.80 7778.475 21301.13
#> 2023.7863 14539.83 10117.27 18962.40 7776.105 21303.56
#> 2023.7890 14540.87 10116.73 18965.00 7774.736 21307.00
#> 2023.7918 14541.90 10116.20 18967.61 7773.370 21310.43
#> 2023.7945 14541.94 10114.66 18969.21 7771.005 21312.87
#> 2023.7973 14541.97 10113.13 18970.81 7768.638 21315.30
#> 2023.8000 14542.02 10111.61 18972.43 7766.296 21317.75
#> 2023.8027 14542.08 10110.10 18974.06 7763.956 21320.21
#> 2023.8055 14542.14 10108.59 18975.68 7761.614 21322.66
#> 2023.8082 14544.18 10109.07 18979.29 7761.264 21327.10
#> 2023.8110 14545.16 10108.49 18981.84 7759.850 21330.47
#> 2023.8137 14547.14 10108.90 18985.39 7759.439 21334.85
#> 2023.8164 14546.12 10106.32 18985.93 7756.026 21336.22
#> 2023.8192 14546.11 10104.74 18987.48 7753.617 21338.60
#> 2023.8219 14546.09 10103.16 18989.02 7751.208 21340.97
#> 2023.8247 14547.07 10102.57 18991.56 7749.795 21344.34
#> 2023.8274 14548.05 10101.99 18994.11 7748.387 21347.71
#> 2023.8301 14548.03 10100.41 18995.66 7745.983 21350.08
#> 2023.8329 14550.06 10100.88 18999.24 7745.622 21354.50
#> 2023.8356 14550.05 10099.30 19000.79 7743.220 21356.87
#> 2023.8384 14550.03 10097.73 19002.34 7740.822 21359.25
#> 2023.8411 14550.02 10096.16 19003.89 7738.425 21361.62
#> 2023.8438 14550.01 10094.59 19005.43 7736.028 21363.99
#> 2023.8466 14549.03 10092.05 19006.02 7732.669 21365.40
#> 2023.8493 14549.03 10090.49 19007.57 7730.276 21367.77
#> 2023.8521 14549.05 10088.95 19009.15 7727.918 21370.18
#> 2023.8548 14550.04 10088.38 19011.69 7726.525 21373.55
#> 2023.8575 14550.03 10086.81 19013.24 7724.133 21375.92
#> 2023.8603 14550.01 10085.25 19014.78 7721.741 21378.29
#> 2023.8630 14550.00 10083.68 19016.32 7719.348 21380.65
#> 2023.8658 14550.01 10082.14 19017.89 7716.986 21383.04
#> 2023.8685 14550.99 10081.56 19020.43 7715.589 21386.40
#> 2023.8712 14551.97 10080.99 19022.96 7714.192 21389.76
#> 2023.8740 14551.99 10079.45 19024.53 7711.832 21392.15
#> 2023.8767 14552.01 10077.91 19026.10 7709.473 21394.54
#> 2023.8795 14552.02 10076.38 19027.67 7707.115 21396.93
#> 2023.8822 14552.99 10075.80 19030.19 7705.714 21400.27
#> 2023.8849 14551.97 10073.22 19030.71 7702.316 21401.62
#> 2023.8877 14552.95 10072.66 19033.25 7700.930 21404.98
#> 2023.8904 14552.94 10071.09 19034.79 7698.545 21407.33
#> 2023.8932 14554.92 10071.52 19038.32 7698.158 21411.68
#> 2023.8959 14554.90 10069.96 19039.85 7695.772 21414.04
#> 2023.8986 14554.89 10068.39 19041.38 7693.387 21416.39
#> 2023.9014 14554.87 10066.83 19042.91 7691.002 21418.74
#> 2023.9041 14555.78 10066.19 19045.37 7689.548 21422.02
#> 2023.9068 14557.84 10066.71 19048.98 7689.242 21426.44
#> 2023.9096 14557.82 10065.14 19050.51 7686.860 21428.79
#> 2023.9123 14560.81 10066.58 19055.04 7687.483 21434.14
#> 2023.9151 14560.80 10065.02 19056.57 7685.106 21436.49
#> 2023.9178 14560.78 10063.47 19058.10 7682.731 21438.84
#> 2023.9205 14560.77 10061.91 19059.63 7680.355 21441.19
#> 2023.9233 14561.76 10061.35 19062.16 7678.981 21444.53
#> 2023.9260 14562.75 10060.80 19064.70 7677.615 21447.89
#> 2023.9288 14563.74 10060.25 19067.23 7676.246 21451.24#> Time Series:
#> Start = c(2019, 341)
#> End = c(2023, 340)
#> Frequency = 365
#> [1] 14104.99 14104.98 14104.97 14104.96 14104.94 14106.94 14106.93 14109.92
#> [9] 14109.91 14109.90 14109.89 14108.85 14109.84 14109.82 14112.81 14112.79
#> [17] 14112.78 14112.76 14112.75 14114.75 14114.75 14114.78 14114.81 14114.84
#> [25] 14114.83 14114.82 14117.81 14117.80 14117.78 14117.76 14117.74 14117.73
#> [33] 14121.71 14122.70 14123.69 14123.69 14123.68 14123.67 14123.66 14124.64
#> [41] 14124.64 14125.65 14126.64 14126.63 14126.62 14126.61 14126.60 14127.60
#> [49] 14127.59 14127.59 14127.58 14127.57 14128.56 14128.56 14129.55 14129.54
#> [57] 14129.53 14129.53 14129.53 14128.52 14128.51 14128.51 14127.51 14127.51
#> [65] 14127.50 14127.50 14127.51 14128.51 14128.51 14129.51 14130.51 14130.51
#> [73] 14130.52 14130.51 14130.51 14133.50 14133.50 14133.49 14133.49 14133.48
#> [81] 14133.47 14137.47 14137.46 14137.46 14133.45 14133.44 14133.44 14137.43
#> [89] 14140.42 14140.41 14141.41 14141.40 14141.39 14141.37 14142.37 14144.36
#> [97] 14144.35 14143.36 14143.36 14143.36 14143.36 14144.38 14146.39 14146.40
#> [105] 14147.40 14147.41 14147.40 14147.38 14147.38 14147.35 14148.29 14148.23
#> [113] 14148.21 14148.18 14148.16 14149.14 14148.13 14148.11 14148.09 14149.08
#> [121] 14149.06 14149.04 14149.01 14150.01 14149.98 14148.94 14149.91 14149.87
#> [129] 14149.83 14149.80 14149.76 14149.72 14149.68 14150.65 14150.61 14150.57
#> [137] 14151.53 14145.49 14169.96 14169.43 14170.40 14170.37 14170.34 14172.31
#> [145] 14170.79 14169.26 14154.24 14169.21 14169.19 14169.17 14169.15 14156.13
#> [153] 14169.11 14156.08 14169.06 14169.05 14169.03 14170.01 14157.99 14170.98
#> [161] 14170.96 14157.94 14157.92 14157.90 14173.88 14172.87 14171.85 14173.83
#> [169] 14173.82 14173.80 14173.79 14173.78 14173.77 14173.26 14174.75 14175.25
#> [177] 14175.25 14175.26 14175.76 14177.26 14175.76 14175.76 14176.75 14176.74
#> [185] 14176.74 14178.23 14177.71 14177.70 14178.69 14178.69 14178.70 14178.71
#> [193] 14178.72 14179.73 14179.74 14180.74 14179.74 14179.75 14179.77 14180.78
#> [201] 14180.82 14180.86 14180.87 14167.88 14167.88 14167.89 14182.89 14180.30
#> [209] 14175.75 14175.81 14175.86 14175.92 14175.98 14176.04 14176.10 14179.14
#> [217] 14179.19 14179.23 14179.28 14179.32 14179.37 14179.41 14186.46 14186.51
#> [225] 14180.55 14181.59 14181.64 14181.68 14182.73 14182.77 14182.82 14183.86
#> [233] 14183.91 14183.96 14184.00 14185.04 14186.08 14184.12 14184.15 14186.20
#> [241] 14186.24 14186.28 14188.33 14189.38 14188.42 14189.47 14189.51 14189.56
#> [249] 14189.61 14189.65 14189.69 14189.74 14191.81 14191.85 14191.89 14191.93
#> [257] 14191.97 14192.01 14192.05 14192.08 14192.12 14192.16 14192.20 14192.24
#> [265] 14192.27 14192.31 14192.34 14192.39 14192.44 14192.49 14192.53 14192.57
#> [273] 14194.60 14194.64 14193.67 14193.71 14193.74 14193.77 14195.80 14202.83
#> [281] 14202.87 14202.91 14202.95 14202.98 14203.02 14201.04 14202.07 14203.10
#> [289] 14199.13 14199.16 14199.19 14194.23 14181.25 14181.28 14195.31 14195.34
#> [297] 14195.34 14195.35 14196.35 14196.38 14196.40 14195.44 14194.47 14194.50
#> [305] 14194.53 14208.56 14194.59 14195.62 14195.65 14195.68 14195.71 14195.75
#> [313] 14195.78 14196.81 14197.84 14197.88 14197.91 14197.97 14198.02 14198.08
#> [321] 14200.12 14201.11 14203.09 14202.07 14202.05 14202.03 14203.01 14203.99
#> [329] 14203.98 14206.00 14205.99 14205.98 14205.97 14205.95 14204.98 14204.97
#> [337] 14204.99 14205.98 14205.97 14205.96 14205.94 14205.96 14206.94 14207.92
#> [345] 14207.93 14207.95 14207.96 14208.94 14207.91 14208.90 14208.88 14210.86
#> [353] 14210.85 14210.83 14210.81 14211.73 14213.78 14213.77 14216.75 14216.74
#> [361] 14216.73 14216.71 14217.70 14218.69 14219.68 14219.67 14219.66 14219.65
#> [369] 14219.64 14219.63 14221.62 14221.61 14224.60 14224.59 14224.58 14224.58
#> [377] 14223.54 14224.53 14224.51 14227.50 14227.48 14227.47 14227.45 14227.44
#> [385] 14229.44 14229.43 14229.46 14229.50 14229.53 14229.52 14229.51 14232.50
#> [393] 14232.48 14232.46 14232.45 14232.43 14232.41 14236.40 14237.39 14238.38
#> [401] 14238.37 14238.36 14238.35 14238.34 14239.32 14239.33 14240.34 14241.32
#> [409] 14241.32 14241.31 14241.30 14241.29 14242.28 14242.28 14242.27 14242.26
#> [417] 14242.26 14243.25 14243.24 14244.24 14244.23 14244.22 14244.22 14244.21
#> [425] 14243.20 14243.20 14243.20 14242.19 14242.19 14242.19 14242.19 14242.19
#> [433] 14243.19 14243.19 14244.19 14245.20 14245.20 14245.20 14245.20 14245.20
#> [441] 14248.19 14248.18 14248.18 14248.17 14248.16 14248.16 14252.15 14252.15
#> [449] 14252.14 14248.14 14248.13 14248.12 14252.12 14255.11 14255.10 14256.09
#> [457] 14256.08 14256.07 14256.06 14257.05 14259.04 14259.04 14258.04 14258.05
#> [465] 14258.05 14258.05 14259.06 14261.07 14261.09 14262.09 14262.09 14262.08
#> [473] 14262.07 14262.06 14262.04 14262.98 14262.91 14262.89 14262.87 14262.85
#> [481] 14263.83 14262.82 14262.80 14262.78 14263.76 14263.74 14263.73 14263.69
#> [489] 14264.70 14264.67 14263.63 14264.59 14264.56 14264.52 14264.48 14264.44
#> [497] 14264.41 14264.37 14265.33 14265.29 14265.26 14266.22 14260.18 14284.65
#> [505] 14284.11 14285.09 14285.06 14285.03 14287.00 14285.48 14283.95 14268.92
#> [513] 14283.90 14283.88 14283.85 14283.83 14270.81 14283.79 14270.77 14283.75
#> [521] 14283.73 14283.71 14284.70 14272.68 14285.66 14285.64 14272.62 14272.60
#> [529] 14272.58 14288.57 14287.55 14286.54 14288.52 14288.50 14288.49 14288.48
#> [537] 14288.46 14288.46 14287.94 14289.44 14289.93 14289.94 14289.94 14290.44
#> [545] 14291.94 14290.45 14290.44 14291.43 14291.43 14291.42 14292.91 14292.40
#> [553] 14292.39 14293.38 14293.38 14293.39 14293.40 14293.41 14294.42 14294.42
#> [561] 14295.43 14294.43 14294.44 14294.45 14295.46 14295.51 14295.55 14295.56
#> [569] 14282.56 14282.57 14282.57 14297.57 14294.98 14290.44 14290.49 14290.55
#> [577] 14290.60 14290.66 14290.72 14290.78 14293.83 14293.87 14293.92 14293.96
#> [585] 14294.01 14294.05 14294.10 14301.15 14301.19 14295.23 14296.28 14296.32
#> [593] 14296.37 14297.41 14297.46 14297.51 14298.55 14298.59 14298.64 14298.69
#> [601] 14299.73 14300.77 14298.80 14298.84 14300.88 14300.93 14300.97 14303.01
#> [609] 14304.06 14303.11 14304.15 14304.20 14304.25 14304.29 14304.34 14304.38
#> [617] 14304.43 14306.49 14306.53 14306.57 14306.61 14306.65 14306.69 14306.73
#> [625] 14306.77 14306.81 14306.85 14306.89 14306.93 14306.96 14306.99 14307.03
#> [633] 14307.08 14307.13 14307.18 14307.22 14307.25 14309.29 14309.32 14308.36
#> [641] 14308.39 14308.43 14308.46 14310.49 14317.52 14317.56 14317.59 14317.63
#> [649] 14317.67 14317.70 14315.73 14316.76 14317.78 14313.82 14313.85 14313.88
#> [657] 14308.91 14295.94 14295.97 14309.99 14310.03 14310.03 14310.03 14311.04
#> [665] 14311.06 14311.09 14310.12 14309.15 14309.19 14309.22 14323.25 14309.28
#> [673] 14310.30 14310.34 14310.37 14310.40 14310.43 14310.46 14311.50 14312.53
#> [681] 14312.56 14312.60 14312.65 14312.71 14312.76 14314.81 14315.79 14317.77
#> [689] 14316.75 14316.74 14316.72 14317.70 14318.68 14318.66 14320.69 14320.67
#> [697] 14320.66 14320.65 14320.64 14319.66 14319.65 14319.68 14320.67 14320.65
#> [705] 14320.64 14320.63 14320.64 14321.62 14322.60 14322.62 14322.63 14322.65
#> [713] 14323.62 14322.60 14323.58 14323.57 14325.55 14325.53 14325.52 14325.50
#> [721] 14326.41 14328.47 14328.45 14331.44 14331.43 14331.41 14331.40 14332.39
#> [729] 14333.38 14334.37 14334.36 14334.35 14334.34 14334.33 14334.32 14336.31
#> [737] 14336.30 14339.29 14339.28 14339.27 14339.26 14338.22 14339.21 14339.20
#> [745] 14342.18 14342.17 14342.15 14342.13 14342.13 14344.12 14344.12 14344.15
#> [753] 14344.18 14344.21 14344.20 14344.20 14347.18 14347.17 14347.15 14347.13
#> [761] 14347.11 14347.10 14351.08 14352.07 14353.07 14353.06 14353.05 14353.04
#> [769] 14353.03 14354.01 14354.01 14355.02 14356.01 14356.00 14355.99 14355.98
#> [777] 14355.98 14356.97 14356.96 14356.96 14356.95 14356.94 14357.93 14357.93
#> [785] 14358.92 14358.91 14358.90 14358.90 14358.90 14357.89 14357.88 14357.88
#> [793] 14356.88 14356.88 14356.88 14356.87 14356.88 14357.88 14357.88 14358.88
#> [801] 14359.88 14359.89 14359.89 14359.89 14359.88 14362.88 14362.87 14362.86
#> [809] 14362.86 14362.85 14362.84 14366.84 14366.83 14366.83 14362.82 14362.82
#> [817] 14362.81 14366.80 14369.79 14369.78 14370.78 14370.77 14370.76 14370.75
#> [825] 14371.74 14373.73 14373.73 14372.73 14372.73 14372.73 14372.73 14373.75
#> [833] 14375.76 14375.77 14376.78 14376.78 14376.77 14376.76 14376.75 14376.72
#> [841] 14377.66 14377.60 14377.58 14377.55 14377.53 14378.51 14377.50 14377.48
#> [849] 14377.46 14378.45 14378.43 14378.41 14378.38 14379.38 14379.35 14378.31
#> [857] 14379.28 14379.24 14379.20 14379.17 14379.13 14379.09 14379.05 14380.02
#> [865] 14379.98 14379.94 14380.90 14374.87 14399.33 14398.80 14399.77 14399.74
#> [873] 14399.71 14401.68 14400.16 14398.63 14383.61 14398.58 14398.56 14398.54
#> [881] 14398.52 14385.50 14398.48 14385.46 14398.44 14398.42 14398.40 14399.38
#> [889] 14387.37 14400.35 14400.33 14387.31 14387.29 14387.27 14403.25 14402.24
#> [897] 14401.22 14403.21 14403.19 14403.17 14403.16 14403.15 14403.14 14402.63
#> [905] 14404.12 14404.62 14404.62 14404.63 14405.13 14406.63 14405.13 14405.13
#> [913] 14406.12 14406.11 14406.11 14407.60 14407.09 14407.07 14408.06 14408.06
#> [921] 14408.07 14408.08 14408.09 14409.10 14409.11 14410.11 14409.11 14409.13
#> [929] 14409.14 14410.15 14410.19 14410.23 14410.24 14397.25 14397.25 14397.26
#> [937] 14412.26 14409.67 14405.13 14405.18 14405.23 14405.29 14405.35 14405.41
#> [945] 14405.47 14408.51 14408.56 14408.60 14408.65 14408.69 14408.74 14408.79
#> [953] 14415.83 14415.88 14409.92 14410.96 14411.01 14411.05 14412.10 14412.15
#> [961] 14412.19 14413.23 14413.28 14413.33 14413.37 14414.41 14415.45 14413.49
#> [969] 14413.52 14415.57 14415.61 14415.65 14417.70 14418.75 14417.79 14418.84
#> [977] 14418.88 14418.93 14418.98 14419.02 14419.07 14419.11 14421.18 14421.22
#> [985] 14421.26 14421.30 14421.34 14421.38 14421.42 14421.45 14421.49 14421.53
#> [993] 14421.57 14421.61 14421.64 14421.68 14421.71 14421.76 14421.81 14421.87
#> [1001] 14421.91 14421.94 14423.97 14424.01 14423.04 14423.08 14423.11 14423.14
#> [1009] 14425.17 14432.20 14432.24 14432.28 14432.32 14432.35 14432.39 14430.42
#> [1017] 14431.44 14432.47 14428.50 14428.53 14428.56 14423.60 14410.63 14410.65
#> [1025] 14424.68 14424.71 14424.72 14424.72 14425.72 14425.75 14425.78 14424.81
#> [1033] 14423.84 14423.87 14423.90 14437.94 14423.96 14424.99 14425.02 14425.05
#> [1041] 14425.08 14425.12 14425.15 14426.18 14427.22 14427.25 14427.28 14427.34
#> [1049] 14427.40 14427.45 14429.50 14430.48 14432.46 14431.44 14431.42 14431.40
#> [1057] 14432.38 14433.36 14433.35 14435.38 14435.36 14435.35 14435.34 14435.33
#> [1065] 14434.35 14434.34 14434.36 14435.35 14435.34 14435.33 14435.31 14435.33
#> [1073] 14436.31 14437.29 14437.30 14437.32 14437.34 14438.31 14437.28 14438.27
#> [1081] 14438.25 14440.24 14440.22 14440.20 14440.18 14441.10 14443.16 14443.14
#> [1089] 14446.13 14446.11 14446.10 14446.08 14447.07 14448.06 14449.06 14449.04
#> [1097] 14449.03 14449.03 14449.01 14449.00 14450.99 14450.98 14453.97 14453.96
#> [1105] 14453.96 14453.95 14452.91 14453.90 14453.88 14456.87 14456.85 14456.84
#> [1113] 14456.82 14456.81 14458.81 14458.80 14458.84 14458.87 14458.90 14458.89
#> [1121] 14458.88 14461.87 14461.85 14461.83 14461.82 14461.80 14461.78 14465.77
#> [1129] 14466.76 14467.75 14467.74 14467.73 14467.72 14467.71 14468.69 14468.70
#> [1137] 14469.71 14470.70 14470.69 14470.68 14470.67 14470.66 14471.66 14471.65
#> [1145] 14471.64 14471.63 14471.63 14472.62 14472.61 14473.61 14473.60 14473.59
#> [1153] 14473.59 14473.58 14472.57 14472.57 14472.57 14471.57 14471.56 14471.56
#> [1161] 14471.56 14471.56 14472.56 14472.57 14473.57 14474.57 14474.57 14474.57
#> [1169] 14474.57 14474.57 14477.56 14477.56 14477.55 14477.54 14477.54 14477.53
#> [1177] 14481.52 14481.52 14481.51 14477.51 14477.50 14477.49 14481.49 14484.48
#> [1185] 14484.47 14485.46 14485.46 14485.44 14485.43 14486.42 14488.41 14488.41
#> [1193] 14487.41 14487.42 14487.42 14487.42 14488.43 14490.45 14490.46 14491.46
#> [1201] 14491.46 14491.45 14491.44 14491.43 14491.41 14492.35 14492.29 14492.26
#> [1209] 14492.24 14492.22 14493.20 14492.19 14492.17 14492.15 14493.13 14493.12
#> [1217] 14493.10 14493.07 14494.07 14494.04 14493.00 14493.96 14493.93 14493.89
#> [1225] 14493.85 14493.81 14493.78 14493.74 14494.70 14494.66 14494.63 14495.59
#> [1233] 14489.55 14514.02 14513.48 14514.46 14514.43 14514.40 14516.37 14514.85
#> [1241] 14513.32 14498.29 14513.27 14513.25 14513.22 14513.20 14500.18 14513.16
#> [1249] 14500.14 14513.12 14513.10 14513.09 14514.07 14502.05 14515.03 14515.01
#> [1257] 14501.99 14501.97 14501.95 14517.94 14516.92 14515.91 14517.89 14517.87
#> [1265] 14517.86 14517.85 14517.84 14517.83 14517.32 14518.81 14519.31 14519.31
#> [1273] 14519.32 14519.81 14521.31 14519.82 14519.81 14520.81 14520.80 14520.79
#> [1281] 14522.28 14521.77 14521.76 14522.75 14522.75 14522.76 14522.77 14522.78
#> [1289] 14523.79 14523.79 14524.80 14523.80 14523.81 14523.82 14524.83 14524.88
#> [1297] 14524.92 14524.93 14511.93 14511.94 14511.94 14526.94 14524.35 14519.81
#> [1305] 14519.86 14519.92 14519.98 14520.04 14520.09 14520.15 14523.20 14523.25
#> [1313] 14523.29 14523.33 14523.38 14523.43 14523.47 14530.52 14530.56 14524.61
#> [1321] 14525.65 14525.69 14525.74 14526.79 14526.83 14526.88 14527.92 14527.97
#> [1329] 14528.01 14528.06 14529.10 14530.14 14528.18 14528.21 14530.25 14530.30
#> [1337] 14530.34 14532.38 14533.43 14532.48 14533.52 14533.57 14533.62 14533.66
#> [1345] 14533.71 14533.75 14533.80 14535.86 14535.90 14535.94 14535.98 14536.02
#> [1353] 14536.07 14536.10 14536.14 14536.18 14536.22 14536.26 14536.30 14536.33
#> [1361] 14536.36 14536.40 14536.45 14536.50 14536.55 14536.59 14536.63 14538.66
#> [1369] 14538.69 14537.73 14537.76 14537.80 14537.83 14539.86 14546.89 14546.93
#> [1377] 14546.97 14547.00 14547.04 14547.07 14545.10 14546.13 14547.15 14543.19
#> [1385] 14543.22 14543.25 14538.28 14525.31 14525.34 14539.36 14539.40 14539.40
#> [1393] 14539.41 14540.41 14540.43 14540.46 14539.49 14538.53 14538.56 14538.59
#> [1401] 14552.62 14538.65 14539.67 14539.71 14539.74 14539.77 14539.80 14539.83
#> [1409] 14540.87 14541.90 14541.94 14541.97 14542.02 14542.08 14542.14 14544.18
#> [1417] 14545.16 14547.14 14546.12 14546.11 14546.09 14547.07 14548.05 14548.03
#> [1425] 14550.06 14550.05 14550.03 14550.02 14550.01 14549.03 14549.03 14549.05
#> [1433] 14550.04 14550.03 14550.01 14550.00 14550.01 14550.99 14551.97 14551.99
#> [1441] 14552.01 14552.02 14552.99 14551.97 14552.95 14552.94 14554.92 14554.90
#> [1449] 14554.89 14554.87 14555.78 14557.84 14557.82 14560.81 14560.80 14560.78
#> [1457] 14560.77 14561.76 14562.75 14563.744.5 Model Evaluation
- Testing Data
#> ME RMSE MAE MPE MAPE ACF1 Theil's U
#> Test set 370 616.9986 445.2408 2.398158 2.937838 0.9911071 9.425404💡 Insight :
- Holt’s Winters’s Model (Triple Exponential Smoothing) has error (MAPE value) = 2.94%
- This is a good model evaluation because MAPE value is quite low and less than 10%
- Training Data
#> ME RMSE MAE MPE MAPE ACF1 Theil's U
#> Test set 0.848927 91.96757 29.90693 0.008554122 0.3294404 0.09872462 1.001905💡 Insight :
- MAPE value is very low at 0.33% (less than 10%)
4.6 Model Auto Arima
#> Series: bis_ts
#> ARIMA(5,2,0)
#>
#> Coefficients:
#> ar1 ar2 ar3 ar4 ar5
#> -0.7281 -0.5984 -0.4209 -0.2776 -0.1904
#> s.e. 0.0088 0.0107 0.0114 0.0107 0.0088
#>
#> sigma^2 = 8887: log likelihood = -73863.82
#> AIC=147739.6 AICc=147739.6 BIC=147784.2#> ME RMSE MAE MPE MAPE MASE
#> Training set -0.005930648 94.24358 36.83816 0.0005796027 0.3781048 0.03992137
#> ACF1
#> Training set -0.03149053Based on error (evaluation model) value (MAPE), bis_hw
is still the best model.