CoCalc -- alpha_11a_3731_3

Project: Harvard Workshop: Distribution of modular symbols and L-values
Path: code / data / alpha_11a_3731_3_1000000.txt
Views: ¹⁸⁴⁵⁸⁰
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1760
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1800
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1835
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1840
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1852
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1855
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1856
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1857
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1858
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1859
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1860
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1880
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1881
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1882
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1883
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1885
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1888
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1889
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1890
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1891
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1892
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1893
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1894
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1895
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1896
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1897
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1898
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1899
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1900
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1901
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1902
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1903
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1904
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1905
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1906
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1907
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1908
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1909
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1910
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1911
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1912
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1913
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1914
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1915
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1916
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1917
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1918
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1919
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1920
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1921
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1922
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1923
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1924
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1925
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1926
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1927
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1928
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1929
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1930
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1931
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1932
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1933
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1934
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1935
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1936
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1937
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1938
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1939
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1940
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1941
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1942
0.067273
1943
0.067273
1944
-0.003790
1945
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1946
0.043585
1947
-0.122228
1948
-0.098541
1949
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1950
0.114648
1951
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1952
0.043585
1953
-0.027478
1954
0.185711
1955
-0.027478
1956
-0.003790
1957
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1958
-0.027478
1959
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1960
0.090961
1961
-0.003790
1962
-0.145916
1963
-0.003790
1964
0.114648
1965
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1966
0.162023
1967
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1968
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1969
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1970
0.019898
1971
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1972
0.019898
1973
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1974
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1975
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1976
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1977
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1978
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1979
0.043585
1980
-0.051165
1981
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1982
0.019898
1983
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1984
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1985
0.067273
1986
0.043585
1987
-0.074853
1988
-0.003790
1989
-0.027478
1990
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1991
0.090961
1992
-0.003790
1993
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1994
-0.051165
1995
0.090961
1996
0.067273
1997
-0.074853
1998
-0.122228
1999
-0.074853
2000
-0.098541
2001
0.019898
2002
0.019898
2003
0.019898
2004
0.067273
2005
0.019898
2006
0.090961
2007
-0.003790
2008
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2009
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2010
-0.098541
2011
0.043585
2012
0.019898
2013
-0.003790
2014
0.019898
2015
0.043585
2016
0.067273
2017
0.043585
2018
0.067273
2019
-0.051165
2020
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2021
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2022
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2023
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2024
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2025
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2026
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2027
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2028
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2029
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2030
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2031
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2032
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2033
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2034
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2035
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2036
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2037
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2038
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2039
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2040
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2041
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2042
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2043
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2044
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2045
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2046
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2047
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2048
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2049
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2050
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2051
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2052
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2053
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2054
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2055
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2056
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2057
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2058
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2059
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2060
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2061
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2062
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2063
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2064
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2065
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2066
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2067
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2068
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2069
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2070
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2071
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2072
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2073
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2074
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2075
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2076
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2077
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2078
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2079
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2080
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2081
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2082
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2083
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2084
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2085
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2086
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2087
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2088
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2089
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2090
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2091
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2092
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2093
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2094
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2095
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2096
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2097
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2098
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2099
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2100
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2101
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2102
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2103
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2104
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2105
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2106
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2107
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2108
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2109
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2110
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2111
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2112
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2113
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2114
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2115
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2116
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2117
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2118
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2119
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2120
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2121
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2122
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2123
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2124
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2125
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2126
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2127
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2128
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2129
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2130
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2131
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2132
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2133
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2134
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2135
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2136
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2137
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2138
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2139
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2140
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2141
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2142
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2143
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2144
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2145
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2146
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2147
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2148
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2149
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2150
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2151
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2152
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2153
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2154
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2155
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2156
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2157
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2158
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2159
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2160
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2161
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2162
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2163
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2164
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2165
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2166
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2167
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2168
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2169
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2170
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2171
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2172
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2173
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2174
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2175
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2176
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2177
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2178
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2179
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2180
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2181
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2182
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2183
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2184
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2185
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2186
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2187
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2188
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2189
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2190
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2191
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2192
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2193
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2194
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2195
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2196
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2197
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2198
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2199
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2200
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2201
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2202
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2203
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2204
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2205
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2206
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2207
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2208
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2209
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2210
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2211
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2212
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2213
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2214
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2215
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2216
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2217
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2218
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2219
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2220
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2221
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2222
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2223
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2224
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2225
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2226
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2227
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2228
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2229
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2230
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2231
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2232
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2233
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2234
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2235
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2236
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2237
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2238
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2239
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2240
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2241
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2242
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2243
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2244
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2245
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2246
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2247
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2248
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2249
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2250
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2251
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2252
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2253
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2254
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2255
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2256
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2257
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2258
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2259
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2260
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2261
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2262
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2263
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2264
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2265
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2266
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2267
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2268
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2269
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2270
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2271
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2272
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2273
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2274
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2275
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2276
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2277
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2278
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2279
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2280
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2281
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2282
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2283
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2284
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2285
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2286
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2287
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2288
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2289
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2290
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2291
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2292
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2293
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2294
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2295
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2296
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2297
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2298
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2299
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2300
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2301
0.090961
2302
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2303
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2304
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2305
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2306
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2307
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2308
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2309
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2310
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2311
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2312
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2313
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2314
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2315
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2316
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2317
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2318
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19450
0.037082
19451
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19452
0.014471
19453
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19454
0.059692
19455
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19456
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19457
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19458
0.104914
19459
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19460
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19461
0.014471
19462
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19463
0.082303
19464
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19465
0.014471
19466
0.070998
19467
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19468
0.127525
19469
-0.109888
19470
-0.019445
19471
0.082303
19472
-0.008140
19473
-0.008140
19474
0.025776
19475
-0.042056
19476
-0.008140
19477
0.104914
19478
-0.053361
19479
-0.075972
19480
0.070998
19481
-0.008140
19482
0.037082
19483
-0.019445
19484
-0.008140
19485
0.037082
19486
-0.064667
19487
-0.030751
19488
0.093609
19489
-0.053361
19490
0.093609
19491
0.003166
19492
-0.008140
19493
0.070998
19494
-0.155110
19495
0.070998
19496
0.003166
19497
-0.008140
19498
0.014471
19499
-0.064667
19500
0.037082
19501
-0.064667
19502
0.037082
19503
0.003166
19504
0.014471
19505
-0.030751
19506
-0.030751
19507
0.059692
19508
-0.064667
19509
0.070998
19510
0.048387
19511
-0.053361
19512
0.025776
19513
-0.064667
19514
0.037082
19515
0.070998
19516
-0.075972
19517
0.104914
19518
0.025776
19519
-0.132499
19520
0.048387
19521
0.025776
19522
-0.042056
19523
0.048387
19524
0.025776
19525
-0.121194
19526
0.104914
19527
-0.053361
19528
0.025776
19529
-0.075972
19530
0.093609
19531
-0.008140
19532
-0.064667
19533
0.104914
19534
-0.143805
19535
0.059692
19536
0.037082
19537
-0.042056
19538
0.003166
19539
-0.008140
19540
-0.030751
19541
-0.008140
19542
-0.042056
19543
0.104914
19544
-0.177721
19545
0.195357
19546
-0.109888
19547
-0.030751
19548
0.059692
19549
-0.030751
19550
0.037082
19551
0.059692
19552
-0.087278
19553
0.025776
19554
0.070998
19555
-0.109888
19556
0.172746
19557
-0.143805
19558
0.150136
19559
-0.087278
19560
0.025776
19561
-0.008140
19562
0.014471
19563
-0.019445
19564
0.059692
19565
-0.087278
19566
-0.019445
19567
0.070998
19568
-0.042056
19569
0.037082
19570
-0.030751
19571
0.048387
19572
0.048387
19573
-0.132499
19574
0.070998
19575
-0.019445
19576
-0.008140
19577
0.082303
19578
-0.087278
19579
0.048387
19580
-0.053361
19581
0.104914
19582
-0.064667
19583
0.059692
19584
-0.042056
19585
0.048387
19586
-0.030751
19587
-0.030751
19588
-0.008140
19589
-0.030751
19590
0.025776
19591
0.014471
19592
0.048387
19593
-0.030751
19594
0.037082
19595
-0.053361
19596
0.014471
19597
0.070998
19598
-0.064667
19599
0.037082
19600
0.025776
19601
-0.053361
19602
0.025776
19603
0.014471
19604
-0.075972
19605
0.048387
19606
0.037082
19607
-0.087278
19608
0.070998
19609
-0.042056
19610
0.025776
19611
-0.109888
19612
0.082303
19613
-0.075972
19614
0.048387
19615
-0.087278
19616
0.048387
19617
-0.008140
19618
0.037082
19619
-0.042056
19620
0.048387
19621
-0.019445
19622
-0.087278
19623
0.150136
19624
-0.143805
19625
0.082303
19626
-0.030751
19627
-0.008140
19628
0.048387
19629
-0.019445
19630
-0.019445
19631
0.070998
19632
-0.143805
19633
0.048387
19634
0.014471
19635
-0.064667
19636
0.093609
19637
-0.042056
19638
-0.053361
19639
0.093609
19640
-0.075972
19641
0.025776
19642
0.025776
19643
-0.075972
19644
0.059692
19645
-0.042056
19646
-0.064667
19647
0.138830
19648
-0.064667
19649
-0.008140
19650
0.003166
19651
-0.064667
19652
0.116219
19653
-0.053361
19654
-0.042056
19655
0.082303
19656
-0.109888
19657
0.104914
19658
-0.087278
19659
0.037082
19660
0.048387
19661
-0.053361
19662
0.003166
19663
0.059692
19664
-0.019445
19665
-0.042056
19666
0.059692
19667
-0.064667
19668
0.093609
19669
-0.042056
19670
0.014471
19671
-0.053361
19672
0.048387
19673
-0.030751
19674
0.037082
19675
-0.132499
19676
0.104914
19677
0.059692
19678
-0.064667
19679
0.059692
19680
-0.042056
19681
-0.008140
19682
0.003166
19683
0.014471
19684
0.014471
19685
-0.030751
19686
0.003166
19687
0.014471
19688
0.037082
19689
-0.075972
19690
0.003166
19691
-0.053361
19692
0.059692
19693
-0.075972
19694
0.003166
19695
-0.019445
19696
0.025776
19697
0.025776
19698
-0.064667
19699
0.059692
19700
-0.075972
19701
0.104914
19702
-0.053361
19703
0.093609
19704
-0.109888
19705
0.070998
19706
0.014471
19707
-0.075972
19708
0.048387
19709
-0.008140
19710
0.003166
19711
-0.042056
19712
0.082303
19713
-0.109888
19714
0.104914
19715
-0.132499
19716
0.070998
19717
0.014471
19718
0.025776
19719
-0.053361
19720
0.037082
19721
-0.030751
19722
0.025776
19723
0.048387
19724
-0.064667
19725
0.059692
19726
-0.053361
19727
0.014471
19728
0.037082
19729
-0.030751
19730
0.070998
19731
-0.008140
19732
-0.109888
19733
0.104914
19734
-0.132499
19735
0.070998
19736
-0.053361
19737
0.048387
19738
-0.030751
19739
-0.053361
19740
-0.008140
19741
0.070998
19742
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19743
-0.042056
19744
0.070998
19745
-0.030751
19746
-0.019445
19747
-0.075972
19748
0.093609
19749
0.014471
19750
-0.121194
19751
0.104914
19752
-0.087278
19753
0.003166
19754
0.037082
19755
-0.064667
19756
-0.019445
19757
0.003166
19758
-0.098583
19759
0.138830
19760
-0.109888
19761
0.059692
19762
0.014471
19763
-0.064667
19764
0.025776
19765
-0.087278
19766
0.025776
19767
0.037082
19768
-0.075972
19769
0.048387
19770
0.070998
19771
-0.121194
19772
0.206663
19773
-0.064667
19774
-0.008140
19775
0.003166
19776
-0.042056
19777
0.104914
19778
-0.087278
19779
0.048387
19780
0.003166
19781
-0.053361
19782
0.048387
19783
-0.008140
19784
-0.075972
19785
0.116219
19786
-0.121194
19787
0.116219
19788
-0.121194
19789
0.116219
19790
-0.053361
19791
-0.019445
19792
0.093609
19793
-0.098583
19794
0.082303
19795
0.059692
19796
-0.087278
19797
0.082303
19798
-0.121194
19799
0.025776
19800
0.025776
19801
-0.053361
19802
0.104914
19803
-0.132499
19804
0.093609
19805
-0.042056
19806
-0.053361
19807
0.048387
19808
0.048387
19809
-0.087278
19810
0.059692
19811
0.003166
19812
-0.053361
19813
-0.030751
19814
0.116219
19815
-0.053361
19816
0.037082
19817
-0.064667
19818
-0.008140
19819
0.082303
19820
-0.064667
19821
0.093609
19822
-0.075972
19823
0.048387
19824
-0.064667
19825
-0.075972
19826
0.070998
19827
-0.053361
19828
0.127525
19829
-0.019445
19830
-0.064667
19831
0.059692
19832
-0.019445
19833
-0.019445
19834
0.003166
19835
0.059692
19836
-0.166415
19837
0.127525
19838
-0.132499
19839
0.025776
19840
0.070998
19841
-0.075972
19842
0.070998
19843
-0.075972
19844
0.059692
19845
-0.109888
19846
0.104914
19847
-0.075972
19848
0.093609
19849
-0.098583
19850
0.138830
19851
-0.109888
19852
0.003166
19853
0.059692
19854
-0.064667
19855
0.037082
19856
-0.019445
19857
-0.075972
19858
0.127525
19859
-0.008140
19860
-0.087278
19861
0.059692
19862
0.059692
19863
-0.200332
19864
0.150136
19865
-0.143805
19866
0.116219
19867
-0.064667
19868
-0.008140
19869
0.037082
19870
-0.008140
19871
-0.019445
19872
0.003166
19873
-0.030751
19874
-0.042056
19875
0.048387
19876
0.025776
19877
-0.064667
19878
0.093609
19879
-0.053361
19880
-0.042056
19881
0.037082
19882
-0.019445
19883
-0.053361
19884
0.082303
19885
-0.053361
19886
-0.019445
19887
0.025776
19888
-0.008140
19889
-0.053361
19890
-0.019445
19891
0.037082
19892
-0.053361
19893
0.093609
19894
-0.155110
19895
0.127525
19896
0.048387
19897
-0.087278
19898
0.070998
19899
-0.008140
19900
0.014471
19901
-0.042056
19902
0.025776
19903
0.003166
19904
0.003166
19905
-0.008140
19906
-0.019445
19907
0.025776
19908
-0.030751
19909
0.037082
19910
0.003166
19911
-0.019445
19912
0.014471
19913
-0.019445
19914
-0.019445
19915
0.014471
19916
-0.030751
19917
0.048387
19918
-0.019445
19919
0.070998
19920
-0.019445
19921
-0.008140
19922
0.037082
19923
-0.019445
19924
0.025776
19925
-0.042056
19926
-0.008140
19927
0.037082
19928
0.014471
19929
0.025776
19930
-0.042056
19931
0.048387
19932
0.025776
19933
-0.042056
19934
0.059692
19935
-0.042056
19936
0.014471
19937
0.003166
19938
-0.030751
19939
0.048387
19940
-0.053361
19941
0.093609
19942
-0.064667
19943
0.025776
19944
-0.019445
19945
-0.030751
19946
0.059692
19947
-0.087278
19948
0.037082
19949
0.014471
19950
-0.019445
19951
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19952
-0.075972
19953
0.059692
19954
0.037082
19955
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19956
0.127525
19957
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19958
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19959
0.251884
19960
-0.177721
19961
0.037082
19962
0.172746
19963
-0.132499
19964
0.014471
19965
0.059692
19966
-0.143805
19967
0.127525
19968
-0.121194
19969
0.127525
19970
-0.075972
19971
-0.019445
19972
-0.008140
19973
0.082303
19974
-0.109888
19975
0.014471
19976
0.059692
19977
-0.042056
19978
0.048387
19979
0.025776
19980
-0.121194
19981
0.104914
19982
-0.098583
19983
0.037082
19984
0.003166
19985
-0.109888
19986
0.082303
19987
-0.008140
19988
-0.030751
19989
0.138830
19990
-0.121194
19991
0.082303
19992
-0.053361
19993
0.037082
19994
-0.008140
19995
-0.019445
19996
0.037082
19997
-0.008140
19998
-0.008140
19999
-0.042056
20000
0.037082
20001
0.025776
20002
-0.042056
20003
0.037082
20004
-0.042056
20005
0.059692
20006
-0.053361
20007
0.048387
20008
0.003166
20009
0.003166
20010
-0.042056
20011
0.014471
20012
-0.019445
20013
-0.008140
20014
0.003166
20015
0.037082
20016
0.037082
20017
-0.053361
20018
0.104914
20019
-0.030751
20020
0.014471
20021
0.059692
20022
-0.121194
20023
0.070998
20024
0.059692
20025
-0.075972
20026
0.059692
20027
0.003166
20028
-0.075972
20029
0.172746
20030
-0.166415
20031
0.093609
20032
0.014471
20033
-0.030751
20034
0.070998
20035
-0.098583
20036
0.082303
20037
-0.075972
20038
0.025776
20039
-0.019445
20040
-0.019445
20041
0.014471
20042
0.037082
20043
-0.075972
20044
0.082303
20045
-0.008140
20046
-0.008140
20047
-0.008140
20048
0.025776
20049
-0.030751
20050
-0.008140
20051
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20052
0.037082
20053
-0.019445
20054
-0.019445
20055
-0.030751
20056
0.070998
20057
-0.030751
20058
0.003166
20059
-0.053361
20060
0.014471
20061
-0.030751
20062
0.048387
20063
-0.064667
20064
0.070998
20065
-0.098583
20066
0.116219
20067
-0.143805
20068
0.104914
20069
0.003166
20070
0.025776
20071
-0.087278
20072
0.093609
20073
-0.042056
20074
-0.019445
20075
0.070998
20076
0.059692
20077
-0.143805
20078
0.104914
20079
-0.019445
20080
-0.075972
20081
0.104914
20082
0.048387
20083
-0.064667
20084
0.003166
20085
0.037082
20086
0.014471
20087
0.014471
20088
0.025776
20089
-0.109888
20090
0.070998
20091
0.014471
20092
-0.042056
20093
0.059692
20094
0.003166
20095
-0.064667
20096
0.014471
20097
0.025776
20098
-0.008140
20099
-0.008140
20100
0.048387
20101
0.003166
20102
-0.087278
20103
0.025776
20104
0.082303
20105
-0.087278
20106
0.070998
20107
0.048387
20108
-0.121194
20109
0.104914
20110
-0.042056
20111
0.003166
20112
0.037082
20113
-0.019445
20114
-0.053361
20115
-0.042056
20116
0.093609
20117
-0.019445
20118
0.003166
20119
-0.042056
20120
-0.030751
20121
0.025776
20122
0.037082
20123
-0.053361
20124
0.003166
20125
0.048387
20126
-0.030751
20127
-0.030751
20128
0.059692
20129
0.003166
20130
-0.053361
20131
0.127525
20132
-0.121194
20133
0.014471
20134
0.037082
20135
0.003166
20136
-0.075972
20137
0.070998
20138
-0.098583
20139
0.104914
20140
-0.008140
20141
-0.042056
20142
0.003166
20143
0.037082
20144
-0.008140
20145
-0.008140
20146
-0.008140
20147
-0.042056
20148
0.037082
20149
-0.030751
20150
-0.008140
20151
0.059692
20152
-0.019445
20153
-0.030751
20154
0.037082
20155
0.003166
20156
-0.030751
20157
-0.042056
20158
0.014471
20159
-0.030751
20160
-0.030751
20161
-0.008140
20162
0.025776
20163
0.104914
20164
-0.121194
20165
0.104914
20166
-0.042056
20167
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20168
0.048387
20169
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20170
0.048387
20171
0.014471
20172
-0.019445
20173
-0.030751
20174
0.025776
20175
0.014471
20176
-0.075972
20177
0.082303
20178
-0.008140
20179
-0.042056
20180
0.070998
20181
0.025776
20182
-0.143805
20183
0.184052
20184
-0.075972
20185
0.037082
20186
-0.019445
20187
0.037082
20188
0.003166
20189
-0.030751
20190
0.003166
20191
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20192
0.116219
20193
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20194
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20195
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20196
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20198
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20200
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20201
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20213
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20260
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20280
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20285
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20288
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20290
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20292
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20293
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20294
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20296
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20297
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20298
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20299
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20300
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20301
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20302
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20303
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20304
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20305
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20306
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20307
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20308
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20309
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20310
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20311
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20312
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20313
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20314
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20315
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20316
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20317
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20318
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20319
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20320
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20321
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20322
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20323
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20324
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20325
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20326
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20327
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20328
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20329
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20330
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20331
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20332
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20333
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20336
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20337
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20340
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20341
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20350
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20351
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20352
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20353
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20354
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20355
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20364
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20365
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20366
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20368
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20369
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20370
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20371
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20373
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20374
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20375
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20376
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20380
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20381
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20382
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20383
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20384
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20385
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20386
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20387
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20388
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20389
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20390
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20391
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20392
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20393
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20394
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20395
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20396
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20397
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20398
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20399
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20400
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20401
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20402
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20438
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20440
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20441
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20445
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20460
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20465
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20466
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20468
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20469
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20470
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20471
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42896

42897