CoCalc -- alpha_11a_4031_3

Project: Harvard Workshop: Distribution of modular symbols and L-values
Path: code / data / alpha_11a_4031_3_1000000.txt
Views: ¹⁸⁴⁵⁸⁶
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1553
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1554
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1555
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1556
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1557
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1558
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1559
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1560
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1561
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1562
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1563
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1564
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1565
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1566
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1567
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1568
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1569
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1570
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1571
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1572
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1573
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1574
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1575
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1576
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1577
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1578
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1579
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1580
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1581
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1582
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1583
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1584
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1585
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1586
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1587
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1588
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1589
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1590
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1591
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1592
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1593
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1594
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1595
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1596
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1597
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1598
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1599
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1600
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1601
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1602
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1603
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1604
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1605
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1606
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1607
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1608
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1609
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1610
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1611
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1612
0.025523
1613
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1614
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1615
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1616
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1617
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1618
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1619
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1620
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1621
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1622
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1623
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1624
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1625
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1626
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1627
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1628
0.025523
1629
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1630
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1631
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1632
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1633
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1634
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1635
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1636
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1637
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1638
0.081007
1639
0.108749
1640
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1641
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1642
0.108749
1643
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1644
0.025523
1645
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1646
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1647
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1648
0.025523
1649
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1650
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1651
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1652
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1653
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1654
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1655
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1656
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1657
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1658
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1659
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1660
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1661
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1662
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1663
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1664
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1665
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1666
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1667
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1668
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1669
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1670
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1671
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1672
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1673
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1674
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1675
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1676
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1677
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1678
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1679
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1680
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1681
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1682
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1683
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1684
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1685
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1686
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1687
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1688
0.108749
1689
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1690
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1691
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1692
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1693
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1694
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1695
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1696
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1697
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1698
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1699
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1700
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1701
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1702
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1703
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1704
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1705
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1706
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1707
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1708
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1709
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1710
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1711
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1712
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1713
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1714
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1715
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1716
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1717
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1718
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1719
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1720
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1721
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1722
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1723
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1724
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1725
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1726
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1727
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1728
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1729
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1730
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1731
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1732
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1733
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1734
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1735
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1736
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1737
0.025523
1738
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1739
0.053265
1740
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1741
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1742
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1743
0.025523
1744
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1745
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1746
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1747
0.108749
1748
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1749
0.053265
1750
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1751
0.025523
1752
0.108749
1753
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1754
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1755
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1756
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1757
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1758
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1759
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1760
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1761
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1762
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1763
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1764
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1765
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1766
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1767
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1768
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1769
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1770
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1771
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1772
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1773
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1774
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1775
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1776
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1777
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1778
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1779
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1780
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1781
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1782
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1783
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1784
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1785
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1786
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1787
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1788
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1789
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1790
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1791
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1792
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1793
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1794
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1795
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1796
0.025523
1797
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1798
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1799
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1800
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1801
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1802
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1803
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1804
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1805
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1806
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1807
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1808
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1809
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1810
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1811
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1812
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1813
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1814
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1815
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1816
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1817
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1818
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1819
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1820
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1821
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1822
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1823
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1824
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1825
0.025523
1826
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1827
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1828
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1829
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1830
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1831
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1832
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1833
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1834
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1835
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1836
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1837
0.053265
1838
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1839
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1840
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1841
0.108749
1842
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1843
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1844
0.025523
1845
0.025523
1846
0.053265
1847
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1848
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1849
0.053265
1850
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1851
0.081007
1852
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1853
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1854
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1855
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1856
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1857
0.025523
1858
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1859
0.053265
1860
-0.002219
1861
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1862
0.081007
1863
0.081007
1864
0.025523
1865
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1866
0.025523
1867
0.025523
1868
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1869
0.053265
1870
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1871
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1872
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1873
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1874
0.025523
1875
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1876
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1877
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1878
0.053265
1879
0.053265
1880
0.025523
1881
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1882
0.025523
1883
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1884
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1885
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1886
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1887
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1888
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1889
0.025523
1890
0.025523
1891
0.053265
1892
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1893
0.053265
1894
0.053265
1895
-0.113188
1896
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1897
0.108749
1898
0.108749
1899
-0.057704
1900
-0.029962
1901
0.081007
1902
0.025523
1903
-0.002219
1904
-0.029962
1905
0.108749
1906
-0.085446
1907
-0.029962
1908
-0.029962
1909
-0.029962
1910
0.081007
1911
0.025523
1912
-0.168672
1913
-0.085446
1914
0.081007
1915
-0.113188
1916
0.025523
1917
-0.002219
1918
-0.002219
1919
-0.029962
1920
0.136491
1921
-0.002219
1922
-0.057704
1923
0.025523
1924
-0.057704
1925
-0.002219
1926
0.053265
1927
0.081007
1928
-0.002219
1929
-0.085446
1930
0.136491
1931
-0.002219
1932
0.025523
1933
-0.085446
1934
-0.057704
1935
0.053265
1936
0.053265
1937
-0.140930
1938
-0.113188
1939
0.164234
1940
-0.029962
1941
-0.140930
1942
-0.085446
1943
0.081007
1944
-0.057704
1945
-0.113188
1946
-0.029962
1947
-0.029962
1948
0.053265
1949
0.025523
1950
-0.029962
1951
-0.085446
1952
0.053265
1953
-0.085446
1954
-0.057704
1955
0.025523
1956
-0.029962
1957
-0.085446
1958
0.025523
1959
0.053265
1960
-0.002219
1961
0.081007
1962
0.053265
1963
-0.140930
1964
-0.002219
1965
0.053265
1966
-0.057704
1967
-0.029962
1968
0.025523
1969
-0.057704
1970
-0.029962
1971
-0.057704
1972
0.053265
1973
-0.002219
1974
-0.196415
1975
-0.029962
1976
0.081007
1977
-0.029962
1978
-0.168672
1979
0.081007
1980
-0.002219
1981
-0.057704
1982
-0.085446
1983
0.053265
1984
0.025523
1985
-0.029962
1986
-0.029962
1987
0.053265
1988
-0.002219
1989
-0.002219
1990
-0.002219
1991
0.108749
1992
-0.140930
1993
-0.057704
1994
0.081007
1995
-0.029962
1996
-0.057704
1997
-0.057704
1998
-0.002219
1999
-0.057704
2000
-0.002219
2001
-0.029962
2002
-0.057704
2003
-0.057704
2004
0.025523
2005
-0.029962
2006
-0.057704
2007
-0.002219
2008
0.053265
2009
-0.057704
2010
-0.085446
2011
0.053265
2012
-0.002219
2013
0.025523
2014
-0.113188
2015
-0.029962
2016
-0.136217
2017
0.047152
2018
0.020956
2019
-0.110021
2020
0.020956
2021
0.020956
2022
-0.031435
2023
-0.057630
2024
0.073347
2025
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2026
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2027
0.073347
2028
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2029
0.178130
2030
-0.083826
2031
0.125739
2032
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2033
0.020956
2034
0.047152
2035
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2036
0.099543
2037
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2038
-0.057630
2039
0.178130
2040
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2041
0.099543
2042
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2043
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2044
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2045
-0.031435
2046
0.099543
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
0.047152
2055
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2056
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2057
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2058
0.073347
2059
-0.057630
2060
-0.005239
2061
0.073347
2062
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2063
0.099543
2064
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2065
0.073347
2066
-0.083826
2067
-0.005239
2068
0.020956
2069
0.047152
2070
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2071
0.020956
2072
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2073
0.047152
2074
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2075
0.020956
2076
0.020956
2077
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2078
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2079
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2080
0.020956
2081
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2082
0.020956
2083
0.099543
2084
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2085
0.073347
2086
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2087
0.020956
2088
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2089
0.020956
2090
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2091
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2092
0.073347
2093
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2094
0.047152
2095
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2096
-0.031435
2097
-0.005239
2098
0.073347
2099
-0.136217
2100
0.020956
2101
0.047152
2102
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2103
0.073347
2104
-0.110021
2105
0.125739
2106
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2107
0.073347
2108
0.020956
2109
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2110
0.020956
2111
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2112
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2113
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2114
0.073347
2115
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2116
0.099543
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
0.047152
2127
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2128
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2129
0.125739
2130
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2131
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2132
0.020956
2133
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2134
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2135
0.073347
2136
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2137
0.020956
2138
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2139
0.020956
2140
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2141
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2142
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2143
0.073347
2144
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2145
0.073347
2146
-0.057630
2147
0.047152
2148
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2149
0.020956
2150
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2151
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2152
0.099543
2153
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2154
0.020956
2155
-0.031435
2156
0.073347
2157
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2158
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2159
0.020956
2160
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2161
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2162
0.020956
2163
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2164
0.073347
2165
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2166
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2167
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2168
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2169
0.073347
2170
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2171
0.099543
2172
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2173
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2174
0.073347
2175
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2176
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2177
0.099543
2178
-0.057630
2179
0.047152
2180
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2181
0.073347
2182
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2183
0.099543
2184
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2185
0.047152
2186
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2187
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2188
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2189
0.099543
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
0.020956
2196
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2197
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2198
0.047152
2199
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2200
0.099543
2201
0.047152
2202
-0.083826
2203
0.020956
2204
0.047152
2205
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2206
0.020956
2207
0.047152
2208
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2209
0.099543
2210
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2211
-0.031435
2212
0.073347
2213
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2214
0.020956
2215
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2216
0.073347
2217
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2218
0.073347
2219
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2220
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2221
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2222
0.020956
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
0.073347
2243
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2244
0.047152
2245
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2246
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2247
0.073347
2248
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2249
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2250
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2251
0.020956
2252
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2253
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2254
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2255
0.099543
2256
-0.110021
2257
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2258
0.047152
2259
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2260
0.047152
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
0.047152
2279
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2280
0.020956
2281
0.020956
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
0.047152
2290
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2291
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2292
0.020956
2293
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2294
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2295
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2296
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2297
0.099543
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0.085539
19385
0.063379
19386
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19387
0.041218
19388
0.174181
19389
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19390
0.085539
19391
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19392
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19393
0.007978
19394
0.052299
19395
0.019058
19396
0.152021
19397
0.174181
19398
-0.014183
19399
0.019058
19400
0.207422
19401
0.140941
19402
-0.136065
19403
-0.014183
19404
0.041218
19405
0.129860
19406
0.007978
19407
0.052299
19408
0.129860
19409
-0.025263
19410
0.019058
19411
0.007978
19412
0.063379
19413
-0.025263
19414
0.074459
19415
0.041218
19416
-0.025263
19417
0.007978
19418
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19419
-0.047423
19420
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19421
-0.080664
19422
0.019058
19423
0.107700
19424
0.007978
19425
-0.147146
19426
0.052299
19427
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19428
0.007978
19429
-0.036343
19430
-0.047423
19431
0.096620
19432
0.085539
19433
0.030138
19434
0.007978
19435
-0.025263
19436
-0.047423
19437
-0.080664
19438
-0.047423
19439
0.030138
19440
-0.136065
19441
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19442
0.007978
19443
-0.102825
19444
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19445
0.007978
19446
-0.124985
19447
-0.014183
19448
0.052299
19449
0.052299
19450
-0.014183
19451
0.085539
19452
-0.025263
19453
-0.058504
19454
0.030138
19455
0.063379
19456
-0.036343
19457
-0.025263
19458
-0.014183
19459
0.041218
19460
-0.169306
19461
-0.036343
19462
-0.014183
19463
0.041218
19464
-0.025263
19465
0.030138
19466
0.107700
19467
-0.058504
19468
-0.003102
19469
-0.124985
19470
0.030138
19471
0.074459
19472
0.063379
19473
-0.124985
19474
-0.058504
19475
-0.003102
19476
-0.147146
19477
0.019058
19478
0.063379
19479
-0.047423
19480
0.019058
19481
0.052299
19482
0.063379
19483
0.118780
19484
0.019058
19485
0.030138
19486
-0.014183
19487
0.041218
19488
0.107700
19489
0.118780
19490
-0.003102
19491
0.030138
19492
-0.069584
19493
0.052299
19494
0.074459
19495
0.196342
19496
0.085539
19497
0.262823
19498
0.085539
19499
0.140941
19500
0.063379
19501
0.019058
19502
-0.047423
19503
-0.036343
19504
0.030138
19505
-0.014183
19506
0.140941
19507
0.085539
19508
0.019058
19509
0.096620
19510
0.085539
19511
-0.014183
19512
-0.058504
19513
0.152021
19514
-0.025263
19515
0.007978
19516
0.030138
19517
-0.025263
19518
0.096620
19519
-0.091744
19520
-0.003102
19521
0.085539
19522
0.019058
19523
-0.025263
19524
-0.069584
19525
-0.036343
19526
0.152021
19527
-0.003102
19528
0.030138
19529
0.152021
19530
-0.058504
19531
-0.091744
19532
-0.091744
19533
-0.036343
19534
-0.003102
19535
-0.003102
19536
-0.124985
19537
0.041218
19538
-0.080664
19539
0.030138
19540
0.052299
19541
0.041218
19542
-0.069584
19543
-0.047423
19544
0.074459
19545
0.074459
19546
0.019058
19547
0.063379
19548
-0.058504
19549
-0.025263
19550
-0.113905
19551
-0.124985
19552
-0.091744
19553
-0.014183
19554
-0.058504
19555
-0.069584
19556
0.063379
19557
-0.058504
19558
-0.036343
19559
-0.080664
19560
-0.014183
19561
-0.014183
19562
0.074459
19563
-0.169306
19564
-0.036343
19565
0.019058
19566
0.019058
19567
-0.136065
19568
0.019058
19569
-0.069584
19570
0.074459
19571
-0.102825
19572
-0.036343
19573
-0.014183
19574
0.052299
19575
-0.113905
19576
-0.025263
19577
0.052299
19578
0.007978
19579
-0.047423
19580
0.007978
19581
-0.025263
19582
0.096620
19583
-0.014183
19584
0.096620
19585
-0.069584
19586
-0.047423
19587
0.019058
19588
0.052299
19589
0.074459
19590
-0.047423
19591
0.085539
19592
-0.003102
19593
-0.036343
19594
-0.036343
19595
-0.003102
19596
0.019058
19597
-0.025263
19598
0.019058
19599
0.074459
19600
0.174181
19601
0.107700
19602
0.074459
19603
-0.047423
19604
0.096620
19605
-0.058504
19606
-0.036343
19607
0.152021
19608
0.163101
19609
-0.036343
19610
0.019058
19611
0.096620
19612
0.085539
19613
0.041218
19614
-0.080664
19615
-0.069584
19616
0.140941
19617
-0.003102
19618
-0.047423
19619
-0.080664
19620
-0.025263
19621
-0.102825
19622
-0.025263
19623
0.074459
19624
-0.003102
19625
-0.025263
19626
-0.080664
19627
0.118780
19628
0.030138
19629
-0.058504
19630
0.052299
19631
0.152021
19632
0.063379
19633
0.107700
19634
0.096620
19635
0.052299
19636
0.019058
19637
-0.036343
19638
-0.036343
19639
0.096620
19640
0.052299
19641
-0.003102
19642
-0.036343
19643
0.052299
19644
-0.158226
19645
-0.003102
19646
-0.014183
19647
-0.025263
19648
-0.080664
19649
-0.091744
19650
0.152021
19651
-0.025263
19652
-0.147146
19653
0.019058
19654
-0.047423
19655
-0.069584
19656
-0.025263
19657
-0.047423
19658
-0.025263
19659
0.019058
19660
-0.136065
19661
-0.102825
19662
-0.014183
19663
0.074459
19664
-0.102825
19665
-0.147146
19666
0.096620
19667
0.041218
19668
-0.036343
19669
-0.091744
19670
0.019058
19671
-0.047423
19672
-0.047423
19673
0.041218
19674
0.074459
19675
0.007978
19676
0.019058
19677
0.096620
19678
-0.047423
19679
-0.091744
19680
0.085539
19681
0.030138
19682
0.041218
19683
0.085539
19684
-0.058504
19685
0.041218
19686
-0.036343
19687
-0.069584
19688
-0.091744
19689
0.085539
19690
-0.003102
19691
-0.047423
19692
-0.036343
19693
0.030138
19694
0.041218
19695
-0.014183
19696
-0.069584
19697
-0.047423
19698
-0.047423
19699
0.041218
19700
0.074459
19701
0.107700
19702
0.085539
19703
-0.036343
19704
0.074459
19705
0.085539
19706
-0.058504
19707
0.030138
19708
0.152021
19709
0.041218
19710
0.118780
19711
0.085539
19712
-0.058504
19713
-0.014183
19714
-0.047423
19715
-0.014183
19716
-0.047423
19717
0.052299
19718
0.030138
19719
-0.091744
19720
-0.003102
19721
0.041218
19722
-0.025263
19723
0.019058
19724
0.107700
19725
0.052299
19726
0.052299
19727
-0.014183
19728
0.007978
19729
0.030138
19730
-0.080664
19731
0.074459
19732
-0.025263
19733
0.019058
19734
0.019058
19735
-0.025263
19736
-0.069584
19737
0.118780
19738
0.019058
19739
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19740
0.030138
19741
0.030138
19742
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19743
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19744
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19745
0.007978
19746
0.007978
19747
-0.080664
19748
-0.014183
19749
-0.014183
19750
0.007978
19751
-0.036343
19752
-0.091744
19753
-0.003102
19754
-0.058504
19755
-0.047423
19756
0.030138
19757
-0.069584
19758
-0.080664
19759
-0.102825
19760
-0.003102
19761
-0.202547
19762
-0.091744
19763
-0.136065
19764
-0.136065
19765
-0.014183
19766
0.063379
19767
0.063379
19768
-0.047423
19769
0.118780
19770
0.007978
19771
-0.102825
19772
0.041218
19773
-0.113905
19774
-0.124985
19775
-0.003102
19776
0.019058
19777
-0.058504
19778
0.074459
19779
-0.047423
19780
-0.080664
19781
0.052299
19782
-0.025263
19783
0.052299
19784
-0.025263
19785
-0.058504
19786
-0.003102
19787
0.019058
19788
-0.003102
19789
0.096620
19790
-0.147146
19791
0.030138
19792
-0.058504
19793
-0.069584
19794
0.052299
19795
0.041218
19796
0.052299
19797
0.096620
19798
-0.058504
19799
-0.058504
19800
0.129860
19801
-0.058504
19802
0.019058
19803
-0.003102
19804
0.019058
19805
-0.058504
19806
0.019058
19807
-0.003102
19808
-0.158226
19809
-0.047423
19810
0.074459
19811
-0.058504
19812
-0.025263
19813
0.007978
19814
0.118780
19815
0.063379
19816
0.096620
19817
0.063379
19818
0.007978
19819
0.085539
19820
0.019058
19821
0.140941
19822
0.030138
19823
0.085539
19824
-0.003102
19825
0.074459
19826
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19827
0.030138
19828
0.041218
19829
0.074459
19830
-0.102825
19831
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19832
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19833
0.041218
19834
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19835
0.041218
19836
-0.025263
19837
-0.003102
19838
0.030138
19839
0.074459
19840
-0.003102
19841
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19842
-0.102825
19843
0.074459
19844
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19845
0.052299
19846
-0.080664
19847
-0.080664
19848
-0.169306
19849
0.041218
19850
0.074459
19851
-0.058504
19852
-0.036343
19853
-0.147146
19854
-0.058504
19855
-0.080664
19856
-0.014183
19857
-0.058504
19858
0.041218
19859
-0.025263
19860
0.007978
19861
0.074459
19862
0.007978
19863
-0.036343
19864
-0.047423
19865
-0.003102
19866
-0.058504
19867
0.074459
19868
-0.036343
19869
-0.003102
19870
-0.003102
19871
-0.091744
19872
-0.124985
19873
0.030138
19874
0.052299
19875
-0.113905
19876
-0.047423
19877
-0.025263
19878
0.118780
19879
0.074459
19880
-0.102825
19881
-0.058504
19882
0.074459
19883
0.074459
19884
-0.025263
19885
0.085539
19886
0.096620
19887
-0.058504
19888
0.030138
19889
-0.069584
19890
0.085539
19891
-0.091744
19892
-0.080664
19893
-0.014183
19894
0.107700
19895
-0.058504
19896
-0.080664
19897
-0.147146
19898
-0.014183
19899
0.041218
19900
-0.058504
19901
0.041218
19902
0.074459
19903
-0.047423
19904
-0.047423
19905
-0.036343
19906
0.052299
19907
-0.069584
19908
0.140941
19909
0.041218
19910
0.063379
19911
-0.025263
19912
0.096620
19913
0.041218
19914
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19915
0.030138
19916
0.030138
19917
-0.014183
19918
-0.036343
19919
-0.014183
19920
0.007978
19921
0.074459
19922
0.107700
19923
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19924
0.052299
19925
-0.014183
19926
0.052299
19927
-0.025263
19928
0.085539
19929
0.118780
19930
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19931
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19932
-0.014183
19933
0.129860
19934
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19935
0.052299
19936
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19937
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19938
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19939
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19940
0.007978
19941
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19942
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19943
0.030138
19944
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19945
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19946
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19947
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19948
0.096620
19949
0.030138
19950
0.096620
19951
0.096620
19952
0.052299
19953
0.074459
19954
0.007978
19955
0.085539
19956
0.085539
19957
-0.025263
19958
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19959
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19960
0.107700
19961
-0.025263
19962
0.041218
19963
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19964
-0.047423
19965
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19966
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19967
-0.036343
19968
-0.003102
19969
0.007978
19970
0.063379
19971
-0.058504
19972
-0.036343
19973
-0.025263
19974
-0.058504
19975
-0.102825
19976
0.107700
19977
0.007978
19978
0.074459
19979
-0.047423
19980
-0.003102
19981
-0.147146
19982
0.007978
19983
-0.025263
19984
0.007978
19985
-0.113905
19986
0.063379
19987
-0.003102
19988
-0.014183
19989
-0.003102
19990
-0.036343
19991
0.052299
19992
0.140941
19993
-0.080664
19994
0.063379
19995
-0.036343
19996
0.019058
19997
0.107700
19998
-0.003102
19999
0.007978
20000
-0.003102
20001
-0.124985
20002
0.007978
20003
0.041218
20004
0.030138
20005
0.030138
20006
0.052299
20007
0.074459
20008
-0.047423
20009
-0.036343
20010
-0.091744
20011
0.041218
20012
-0.003102
20013
0.007978
20014
0.030138
20015
-0.003102
20016
0.030138
20017
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20018
0.030138
20019
0.007978
20020
0.030138
20021
0.063379
20022
0.030138
20023
-0.025263
20024
0.052299
20025
0.041218
20026
0.052299
20027
0.096620
20028
0.185262
20029
0.030138
20030
-0.080664
20031
-0.069584
20032
0.041218
20033
-0.058504
20034
-0.069584
20035
0.041218
20036
0.074459
20037
0.007978
20038
0.052299
20039
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20040
0.007978
20041
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20042
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20043
0.019058
20044
0.085539
20045
-0.102825
20046
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20047
-0.003102
20048
-0.003102
20049
0.007978
20050
-0.014183
20051
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20052
0.140941
20053
0.019058
20054
0.052299
20055
-0.025263
20056
0.107700
20057
0.052299
20058
0.007978
20059
-0.091744
20060
-0.014183
20061
-0.136065
20062
0.052299
20063
0.096620
20064
-0.036343
20065
0.041218
20066
-0.036343
20067
-0.058504
20068
-0.025263
20069
0.019058
20070
0.052299
20071
-0.003102
20072
0.229583
20073
0.030138
20074
-0.025263
20075
0.019058
20076
0.019058
20077
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20078
-0.047423
20079
-0.003102
20080
-0.047423
20081
-0.136065
20082
-0.014183
20083
-0.058504
20084
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20085
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20086
-0.102825
20087
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20088
0.007978
20089
-0.113905
20090
0.163101
20091
0.074459
20092
0.007978
20093
-0.124985
20094
0.041218
20095
0.041218
20096
0.152021
20097
-0.014183
20098
0.063379
20099
-0.025263
20100
0.107700
20101
0.052299
20102
-0.003102
20103
0.030138
20104
-0.091744
20105
0.041218
20106
0.118780
20107
-0.025263
20108
-0.069584
20109
-0.058504
20110
-0.036343
20111
0.052299
20112
0.140941
20113
-0.058504
20114
-0.080664
20115
-0.047423
20116
0.041218
20117
0.030138
20118
0.107700
20119
0.107700
20120
0.019058
20121
0.030138
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0.072572
48350
0.065726
48351
0.017801
48352
0.127344
48353
0.072572
48354
0.017801
48355
0.024647
48356
-0.091742
48357
-0.050664
48358
0.065726
48359
0.079419
48360
0.038340
48361

48362