| - Revision: |
$Rev: 1216 $ |
|
| - Report created: |
2025-07-11 16:32:28 |
| WDS: | A1526 | WDS ID/Discoverer |
| P: | 877.500 | Orbital period (years) |
| a: | 0.648 | Semi-major axis (arcseconds) |
| i: | 100.2 | Inclination (degrees) |
| Ω: | 112.6 | Longitude of ascending node (degrees) |
| T: | 1919.600 | Epoch of periastron passage (year) |
| e: | 0.449 | Eccentricity |
| ω: | 187.4 | Longitude of periastron (degrees) |
| Start-Year: | 1587.0 | Year |
| End-Year: | 2463.0 | Year |
| Epoch: | 2025.0 | Besselian Epoch |
| Position: | 015740.62+443348.0 | Epoch-2000 right ascension and declination |
| WDS-ID: | 01577+4434 | WDS designation |
| Discoverer Code: | A1526 | Discover designation and components |
| ADS number: | 1554 | Aitken Double Star catalog |
| HD number: | 11869 | HD catalog number |
| Hipparcos number: | 9128 | Hipparcos catalog number |
| V1: | 8.7 | Magnitude of the primary |
| V2: | 8.8 | Magnitude of the secondary |
| Equinox: | 2000 | Equinox |
| Date: | 1995 | Date of last observation |
| Orbit grade: | 4 | Orbit grade, ranging from 1 'definitive' to 5 'indeterminate' |
| Flags: | Flags |
Image from the USNO WDS 6th Orbit Catalog (see Acknowledgements)
Year Sep[“] PA[°] --------------------------------------------- 2025.0 0.140 154.0 ------------------------- 1587.0 0.808 107.6 1588.0 0.806 107.5 1589.0 0.804 107.5 1590.0 0.802 107.4 1591.0 0.800 107.4 1592.0 0.797 107.3 1593.0 0.795 107.3 1594.0 0.793 107.3 1595.0 0.791 107.2 1596.0 0.789 107.2 1597.0 0.787 107.1 1598.0 0.785 107.1 1599.0 0.783 107.0 1600.0 0.781 107.0 1601.0 0.778 107.0 1602.0 0.776 106.9 1603.0 0.774 106.9 1604.0 0.772 106.8 1605.0 0.770 106.8 1606.0 0.767 106.7 1607.0 0.765 106.7 1608.0 0.763 106.6 1609.0 0.761 106.6 1610.0 0.758 106.5 1611.0 0.756 106.5 1612.0 0.754 106.4 1613.0 0.751 106.4 1614.0 0.749 106.3 1615.0 0.746 106.3 1616.0 0.744 106.2 1617.0 0.742 106.2 1618.0 0.739 106.1 1619.0 0.737 106.1 1620.0 0.734 106.0 1621.0 0.732 106.0 1622.0 0.729 105.9 1623.0 0.727 105.9 1624.0 0.724 105.8 1625.0 0.722 105.8 1626.0 0.719 105.7 1627.0 0.717 105.7 1628.0 0.714 105.6 1629.0 0.711 105.6 1630.0 0.709 105.5 1631.0 0.706 105.5 1632.0 0.704 105.4 1633.0 0.701 105.4 1634.0 0.698 105.3 1635.0 0.696 105.2 1636.0 0.693 105.2 1637.0 0.690 105.1 1638.0 0.687 105.1 1639.0 0.685 105.0 1640.0 0.682 105.0 1641.0 0.679 104.9 1642.0 0.676 104.8 1643.0 0.674 104.8 1644.0 0.671 104.7 1645.0 0.668 104.7 1646.0 0.665 104.6 1647.0 0.662 104.5 1648.0 0.659 104.5 1649.0 0.656 104.4 1650.0 0.654 104.3 1651.0 0.651 104.3 1652.0 0.648 104.2 1653.0 0.645 104.2 1654.0 0.642 104.1 1655.0 0.639 104.0 1656.0 0.636 104.0 1657.0 0.633 103.9 1658.0 0.630 103.8 1659.0 0.627 103.7 1660.0 0.624 103.7 1661.0 0.621 103.6 1662.0 0.617 103.5 1663.0 0.614 103.5 1664.0 0.611 103.4 1665.0 0.608 103.3 1666.0 0.605 103.2 1667.0 0.602 103.2 1668.0 0.599 103.1 1669.0 0.595 103.0 1670.0 0.592 102.9 1671.0 0.589 102.9 1672.0 0.586 102.8 1673.0 0.583 102.7 1674.0 0.579 102.6 1675.0 0.576 102.5 1676.0 0.573 102.5 1677.0 0.569 102.4 1678.0 0.566 102.3 1679.0 0.563 102.2 1680.0 0.559 102.1 1681.0 0.556 102.0 1682.0 0.553 101.9 1683.0 0.549 101.9 1684.0 0.546 101.8 1685.0 0.543 101.7 1686.0 0.539 101.6 1687.0 0.536 101.5 1688.0 0.532 101.4 1689.0 0.529 101.3 1690.0 0.525 101.2 1691.0 0.522 101.1 1692.0 0.518 101.0 1693.0 0.515 100.9 1694.0 0.511 100.8 1695.0 0.508 100.7 1696.0 0.504 100.6 1697.0 0.500 100.5 1698.0 0.497 100.4 1699.0 0.493 100.2 1700.0 0.490 100.1 1701.0 0.486 100.0 1702.0 0.482 99.9 1703.0 0.479 99.8 1704.0 0.475 99.7 1705.0 0.471 99.5 1706.0 0.468 99.4 1707.0 0.464 99.3 1708.0 0.460 99.2 1709.0 0.456 99.0 1710.0 0.453 98.9 1711.0 0.449 98.8 1712.0 0.445 98.6 1713.0 0.441 98.5 1714.0 0.438 98.4 1715.0 0.434 98.2 1716.0 0.430 98.1 1717.0 0.426 97.9 1718.0 0.422 97.8 1719.0 0.418 97.6 1720.0 0.414 97.5 1721.0 0.411 97.3 1722.0 0.407 97.1 1723.0 0.403 97.0 1724.0 0.399 96.8 1725.0 0.395 96.6 1726.0 0.391 96.4 1727.0 0.387 96.3 1728.0 0.383 96.1 1729.0 0.379 95.9 1730.0 0.375 95.7 1731.0 0.371 95.5 1732.0 0.367 95.3 1733.0 0.363 95.1 1734.0 0.359 94.9 1735.0 0.355 94.7 1736.0 0.351 94.5 1737.0 0.347 94.2 1738.0 0.343 94.0 1739.0 0.339 93.8 1740.0 0.335 93.5 1741.0 0.331 93.3 1742.0 0.327 93.0 1743.0 0.322 92.8 1744.0 0.318 92.5 1745.0 0.314 92.2 1746.0 0.310 92.0 1747.0 0.306 91.7 1748.0 0.302 91.4 1749.0 0.298 91.1 1750.0 0.294 90.8 1751.0 0.289 90.4 1752.0 0.285 90.1 1753.0 0.281 89.8 1754.0 0.277 89.4 1755.0 0.273 89.1 1756.0 0.269 88.7 1757.0 0.264 88.3 1758.0 0.260 87.9 1759.0 0.256 87.5 1760.0 0.252 87.1 1761.0 0.248 86.6 1762.0 0.244 86.2 1763.0 0.240 85.7 1764.0 0.235 85.2 1765.0 0.231 84.7 1766.0 0.227 84.2 1767.0 0.223 83.7 1768.0 0.219 83.1 1769.0 0.215 82.5 1770.0 0.211 81.9 1771.0 0.207 81.3 1772.0 0.202 80.7 1773.0 0.198 80.0 1774.0 0.194 79.3 1775.0 0.190 78.5 1776.0 0.186 77.8 1777.0 0.182 77.0 1778.0 0.178 76.1 1779.0 0.174 75.2 1780.0 0.171 74.3 1781.0 0.167 73.4 1782.0 0.163 72.4 1783.0 0.159 71.3 1784.0 0.155 70.2 1785.0 0.152 69.1 1786.0 0.148 67.8 1787.0 0.145 66.6 1788.0 0.141 65.2 1789.0 0.138 63.8 1790.0 0.134 62.4 1791.0 0.131 60.8 1792.0 0.128 59.2 1793.0 0.125 57.5 1794.0 0.122 55.7 1795.0 0.119 53.8 1796.0 0.116 51.8 1797.0 0.114 49.8 1798.0 0.111 47.6 1799.0 0.109 45.4 1800.0 0.107 43.0 1801.0 0.105 40.6 1802.0 0.103 38.1 1803.0 0.102 35.5 1804.0 0.100 32.8 1805.0 0.099 30.1 1806.0 0.098 27.3 1807.0 0.098 24.4 1808.0 0.097 21.5 1809.0 0.097 18.6 1810.0 0.097 15.7 1811.0 0.097 12.8 1812.0 0.098 10.0 1813.0 0.098 7.1 1814.0 0.099 4.3 1815.0 0.101 1.6 1816.0 0.102 359.0 1817.0 0.104 356.4 1818.0 0.106 353.9 1819.0 0.107 351.5 1820.0 0.110 349.2 1821.0 0.112 347.0 1822.0 0.114 344.8 1823.0 0.117 342.8 1824.0 0.120 340.9 1825.0 0.123 339.0 1826.0 0.126 337.2 1827.0 0.129 335.5 1828.0 0.132 333.9 1829.0 0.135 332.4 1830.0 0.138 331.0 1831.0 0.142 329.6 1832.0 0.145 328.2 1833.0 0.149 327.0 1834.0 0.152 325.8 1835.0 0.156 324.6 1836.0 0.160 323.5 1837.0 0.163 322.5 1838.0 0.167 321.5 1839.0 0.171 320.5 1840.0 0.175 319.6 1841.0 0.178 318.7 1842.0 0.182 317.9 1843.0 0.186 317.1 1844.0 0.190 316.3 1845.0 0.194 315.6 1846.0 0.197 314.9 1847.0 0.201 314.2 1848.0 0.205 313.5 1849.0 0.209 312.9 1850.0 0.213 312.3 1851.0 0.217 311.7 1852.0 0.220 311.1 1853.0 0.224 310.6 1854.0 0.228 310.0 1855.0 0.232 309.5 1856.0 0.236 309.0 1857.0 0.239 308.5 1858.0 0.243 308.1 1859.0 0.247 307.6 1860.0 0.250 307.2 1861.0 0.254 306.7 1862.0 0.257 306.3 1863.0 0.261 305.9 1864.0 0.264 305.5 1865.0 0.268 305.1 1866.0 0.271 304.8 1867.0 0.275 304.4 1868.0 0.278 304.0 1869.0 0.281 303.7 1870.0 0.285 303.4 1871.0 0.288 303.0 1872.0 0.291 302.7 1873.0 0.294 302.4 1874.0 0.297 302.1 1875.0 0.300 301.8 1876.0 0.303 301.5 1877.0 0.306 301.2 1878.0 0.309 300.9 1879.0 0.312 300.6 1880.0 0.314 300.3 1881.0 0.317 300.0 1882.0 0.320 299.8 1883.0 0.322 299.5 1884.0 0.325 299.2 1885.0 0.327 299.0 1886.0 0.329 298.7 1887.0 0.332 298.5 1888.0 0.334 298.2 1889.0 0.336 298.0 1890.0 0.338 297.8 1891.0 0.340 297.5 1892.0 0.341 297.3 1893.0 0.343 297.1 1894.0 0.345 296.8 1895.0 0.346 296.6 1896.0 0.348 296.4 1897.0 0.349 296.1 1898.0 0.350 295.9 1899.0 0.352 295.7 1900.0 0.353 295.5 1901.0 0.354 295.3 1902.0 0.355 295.0 1903.0 0.355 294.8 1904.0 0.356 294.6 1905.0 0.357 294.4 1906.0 0.357 294.2 1907.0 0.358 294.0 1908.0 0.358 293.8 1909.0 0.358 293.5 1910.0 0.358 293.3 1911.0 0.358 293.1 1912.0 0.358 292.9 1913.0 0.358 292.7 1914.0 0.358 292.5 1915.0 0.357 292.3 1916.0 0.357 292.1 1917.0 0.356 291.8 1918.0 0.356 291.6 1919.0 0.355 291.4 1920.0 0.354 291.2 1921.0 0.353 291.0 1922.0 0.352 290.8 1923.0 0.350 290.5 1924.0 0.349 290.3 1925.0 0.348 290.1 1926.0 0.346 289.9 1927.0 0.344 289.6 1928.0 0.343 289.4 1929.0 0.341 289.2 1930.0 0.339 288.9 1931.0 0.337 288.7 1932.0 0.335 288.5 1933.0 0.333 288.2 1934.0 0.330 288.0 1935.0 0.328 287.7 1936.0 0.325 287.5 1937.0 0.323 287.2 1938.0 0.320 286.9 1939.0 0.317 286.7 1940.0 0.315 286.4 1941.0 0.312 286.1 1942.0 0.309 285.8 1943.0 0.306 285.5 1944.0 0.302 285.2 1945.0 0.299 284.9 1946.0 0.296 284.6 1947.0 0.293 284.3 1948.0 0.289 284.0 1949.0 0.286 283.7 1950.0 0.282 283.3 1951.0 0.278 283.0 1952.0 0.275 282.6 1953.0 0.271 282.3 1954.0 0.267 281.9 1955.0 0.263 281.5 1956.0 0.259 281.1 1957.0 0.255 280.7 1958.0 0.251 280.3 1959.0 0.247 279.8 1960.0 0.243 279.4 1961.0 0.239 278.9 1962.0 0.235 278.4 1963.0 0.231 277.9 1964.0 0.227 277.4 1965.0 0.222 276.8 1966.0 0.218 276.3 1967.0 0.214 275.7 1968.0 0.209 275.1 1969.0 0.205 274.5 1970.0 0.201 273.8 1971.0 0.196 273.1 1972.0 0.192 272.4 1973.0 0.187 271.6 1974.0 0.183 270.8 1975.0 0.179 270.0 1976.0 0.174 269.1 1977.0 0.170 268.2 1978.0 0.166 267.2 1979.0 0.161 266.2 1980.0 0.157 265.1 1981.0 0.153 264.0 1982.0 0.148 262.8 1983.0 0.144 261.5 1984.0 0.140 260.2 1985.0 0.136 258.7 1986.0 0.132 257.2 1987.0 0.128 255.6 1988.0 0.124 253.9 1989.0 0.120 252.0 1990.0 0.117 250.1 1991.0 0.113 248.0 1992.0 0.110 245.8 1993.0 0.107 243.5 1994.0 0.103 241.0 1995.0 0.101 238.4 1996.0 0.098 235.7 1997.0 0.096 232.7 1998.0 0.093 229.7 1999.0 0.091 226.5 2000.0 0.090 223.2 2001.0 0.088 219.7 2002.0 0.087 216.2 2003.0 0.087 212.6 2004.0 0.086 209.0 2005.0 0.086 205.3 2006.0 0.087 201.7 2007.0 0.087 198.1 2008.0 0.088 194.6 2009.0 0.090 191.1 2010.0 0.091 187.8 2011.0 0.093 184.6 2012.0 0.095 181.5 2013.0 0.098 178.6 2014.0 0.100 175.8 2015.0 0.103 173.2 2016.0 0.106 170.7 2017.0 0.110 168.4 2018.0 0.113 166.2 2019.0 0.117 164.1 2020.0 0.120 162.1 2021.0 0.124 160.3 2022.0 0.128 158.6 2023.0 0.132 157.0 2024.0 0.136 155.5 2025.0 0.140 154.0 2026.0 0.144 152.7 2027.0 0.149 151.4 2028.0 0.153 150.2 2029.0 0.157 149.1 2030.0 0.162 148.0 2031.0 0.166 147.0 2032.0 0.171 146.0 2033.0 0.175 145.1 2034.0 0.180 144.3 2035.0 0.185 143.4 2036.0 0.189 142.7 2037.0 0.194 141.9 2038.0 0.198 141.2 2039.0 0.203 140.5 2040.0 0.208 139.9 2041.0 0.212 139.3 2042.0 0.217 138.7 2043.0 0.222 138.1 2044.0 0.227 137.6 2045.0 0.231 137.0 2046.0 0.236 136.5 2047.0 0.241 136.1 2048.0 0.245 135.6 2049.0 0.250 135.2 2050.0 0.255 134.7 2051.0 0.260 134.3 2052.0 0.264 133.9 2053.0 0.269 133.5 2054.0 0.274 133.2 2055.0 0.278 132.8 2056.0 0.283 132.5 2057.0 0.288 132.1 2058.0 0.292 131.8 2059.0 0.297 131.5 2060.0 0.302 131.2 2061.0 0.306 130.9 2062.0 0.311 130.6 2063.0 0.315 130.3 2064.0 0.320 130.0 2065.0 0.325 129.8 2066.0 0.329 129.5 2067.0 0.334 129.3 2068.0 0.338 129.0 2069.0 0.343 128.8 2070.0 0.347 128.6 2071.0 0.352 128.4 2072.0 0.356 128.1 2073.0 0.361 127.9 2074.0 0.365 127.7 2075.0 0.370 127.5 2076.0 0.374 127.3 2077.0 0.379 127.1 2078.0 0.383 126.9 2079.0 0.387 126.8 2080.0 0.392 126.6 2081.0 0.396 126.4 2082.0 0.400 126.2 2083.0 0.405 126.1 2084.0 0.409 125.9 2085.0 0.413 125.7 2086.0 0.418 125.6 2087.0 0.422 125.4 2088.0 0.426 125.3 2089.0 0.430 125.1 2090.0 0.435 125.0 2091.0 0.439 124.8 2092.0 0.443 124.7 2093.0 0.447 124.6 2094.0 0.451 124.4 2095.0 0.455 124.3 2096.0 0.460 124.2 2097.0 0.464 124.0 2098.0 0.468 123.9 2099.0 0.472 123.8 2100.0 0.476 123.7 2101.0 0.480 123.5 2102.0 0.484 123.4 2103.0 0.488 123.3 2104.0 0.492 123.2 2105.0 0.496 123.1 2106.0 0.500 123.0 2107.0 0.504 122.9 2108.0 0.507 122.8 2109.0 0.511 122.7 2110.0 0.515 122.5 2111.0 0.519 122.4 2112.0 0.523 122.3 2113.0 0.527 122.2 2114.0 0.530 122.1 2115.0 0.534 122.1 2116.0 0.538 122.0 2117.0 0.542 121.9 2118.0 0.545 121.8 2119.0 0.549 121.7 2120.0 0.553 121.6 2121.0 0.557 121.5 2122.0 0.560 121.4 2123.0 0.564 121.3 2124.0 0.567 121.2 2125.0 0.571 121.2 2126.0 0.575 121.1 2127.0 0.578 121.0 2128.0 0.582 120.9 2129.0 0.585 120.8 2130.0 0.589 120.8 2131.0 0.592 120.7 2132.0 0.596 120.6 2133.0 0.599 120.5 2134.0 0.602 120.4 2135.0 0.606 120.4 2136.0 0.609 120.3 2137.0 0.613 120.2 2138.0 0.616 120.2 2139.0 0.619 120.1 2140.0 0.623 120.0 2141.0 0.626 119.9 2142.0 0.629 119.9 2143.0 0.632 119.8 2144.0 0.636 119.7 2145.0 0.639 119.7 2146.0 0.642 119.6 2147.0 0.645 119.5 2148.0 0.648 119.5 2149.0 0.652 119.4 2150.0 0.655 119.3 2151.0 0.658 119.3 2152.0 0.661 119.2 2153.0 0.664 119.2 2154.0 0.667 119.1 2155.0 0.670 119.0 2156.0 0.673 119.0 2157.0 0.676 118.9 2158.0 0.679 118.9 2159.0 0.682 118.8 2160.0 0.685 118.7 2161.0 0.688 118.7 2162.0 0.691 118.6 2163.0 0.694 118.6 2164.0 0.697 118.5 2165.0 0.699 118.5 2166.0 0.702 118.4 2167.0 0.705 118.3 2168.0 0.708 118.3 2169.0 0.711 118.2 2170.0 0.713 118.2 2171.0 0.716 118.1 2172.0 0.719 118.1 2173.0 0.722 118.0 2174.0 0.724 118.0 2175.0 0.727 117.9 2176.0 0.730 117.9 2177.0 0.732 117.8 2178.0 0.735 117.8 2179.0 0.738 117.7 2180.0 0.740 117.7 2181.0 0.743 117.6 2182.0 0.745 117.6 2183.0 0.748 117.5 2184.0 0.750 117.5 2185.0 0.753 117.4 2186.0 0.755 117.4 2187.0 0.758 117.3 2188.0 0.760 117.3 2189.0 0.763 117.2 2190.0 0.765 117.2 2191.0 0.767 117.1 2192.0 0.770 117.1 2193.0 0.772 117.0 2194.0 0.774 117.0 2195.0 0.777 117.0 2196.0 0.779 116.9 2197.0 0.781 116.9 2198.0 0.784 116.8 2199.0 0.786 116.8 2200.0 0.788 116.7 2201.0 0.790 116.7 2202.0 0.793 116.6 2203.0 0.795 116.6 2204.0 0.797 116.6 2205.0 0.799 116.5 2206.0 0.801 116.5 2207.0 0.803 116.4 2208.0 0.805 116.4 2209.0 0.807 116.3 2210.0 0.809 116.3 2211.0 0.811 116.3 2212.0 0.814 116.2 2213.0 0.816 116.2 2214.0 0.817 116.1 2215.0 0.819 116.1 2216.0 0.821 116.1 2217.0 0.823 116.0 2218.0 0.825 116.0 2219.0 0.827 115.9 2220.0 0.829 115.9 2221.0 0.831 115.9 2222.0 0.833 115.8 2223.0 0.835 115.8 2224.0 0.836 115.7 2225.0 0.838 115.7 2226.0 0.840 115.7 2227.0 0.842 115.6 2228.0 0.844 115.6 2229.0 0.845 115.5 2230.0 0.847 115.5 2231.0 0.849 115.5 2232.0 0.850 115.4 2233.0 0.852 115.4 2234.0 0.854 115.4 2235.0 0.855 115.3 2236.0 0.857 115.3 2237.0 0.858 115.2 2238.0 0.860 115.2 2239.0 0.862 115.2 2240.0 0.863 115.1 2241.0 0.865 115.1 2242.0 0.866 115.1 2243.0 0.868 115.0 2244.0 0.869 115.0 2245.0 0.871 115.0 2246.0 0.872 114.9 2247.0 0.874 114.9 2248.0 0.875 114.8 2249.0 0.876 114.8 2250.0 0.878 114.8 2251.0 0.879 114.7 2252.0 0.880 114.7 2253.0 0.882 114.7 2254.0 0.883 114.6 2255.0 0.884 114.6 2256.0 0.886 114.6 2257.0 0.887 114.5 2258.0 0.888 114.5 2259.0 0.889 114.5 2260.0 0.891 114.4 2261.0 0.892 114.4 2262.0 0.893 114.4 2263.0 0.894 114.3 2264.0 0.895 114.3 2265.0 0.896 114.3 2266.0 0.898 114.2 2267.0 0.899 114.2 2268.0 0.900 114.2 2269.0 0.901 114.1 2270.0 0.902 114.1 2271.0 0.903 114.1 2272.0 0.904 114.0 2273.0 0.905 114.0 2274.0 0.906 114.0 2275.0 0.907 113.9 2276.0 0.908 113.9 2277.0 0.909 113.9 2278.0 0.910 113.8 2279.0 0.910 113.8 2280.0 0.911 113.8 2281.0 0.912 113.7 2282.0 0.913 113.7 2283.0 0.914 113.7 2284.0 0.915 113.6 2285.0 0.916 113.6 2286.0 0.916 113.6 2287.0 0.917 113.5 2288.0 0.918 113.5 2289.0 0.919 113.5 2290.0 0.919 113.4 2291.0 0.920 113.4 2292.0 0.921 113.4 2293.0 0.921 113.3 2294.0 0.922 113.3 2295.0 0.923 113.3 2296.0 0.923 113.2 2297.0 0.924 113.2 2298.0 0.925 113.2 2299.0 0.925 113.1 2300.0 0.926 113.1 2301.0 0.926 113.1 2302.0 0.927 113.0 2303.0 0.927 113.0 2304.0 0.928 113.0 2305.0 0.928 113.0 2306.0 0.929 112.9 2307.0 0.929 112.9 2308.0 0.930 112.9 2309.0 0.930 112.8 2310.0 0.930 112.8 2311.0 0.931 112.8 2312.0 0.931 112.7 2313.0 0.932 112.7 2314.0 0.932 112.7 2315.0 0.932 112.6 2316.0 0.933 112.6 2317.0 0.933 112.6 2318.0 0.933 112.5 2319.0 0.933 112.5 2320.0 0.934 112.5 2321.0 0.934 112.4 2322.0 0.934 112.4 2323.0 0.934 112.4 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