Alternative Method United States Summer PDSI Reconstructions ----------------------------------------------------------------------- World Data Center for Paleoclimatology, Boulder and NOAA Paleoclimatology Program ----------------------------------------------------------------------- NOTE: PLEASE CITE CONTRIBUTORS WHEN USING THIS DATA!!!!! NAME OF DATA SET: Alternative Method USA Summer PDSI Reconstructions LAST UPDATE: 8/2004 (Original receipt by WDC Paleo) CONTRIBUTORS: Zhihua Zhang, Michael Mann, and Ed Cook IGBP PAGES/WDCA CONTRIBUTION SERIES NUMBER: 2004-046 SUGGESTED DATA CITATION: Zhang, Z., et al. 2004. Alternative Method United States Summer PDSI Reconstructions. IGBP PAGES/World Data Center for Paleoclimatology Data Contribution Series # 2004-046. NOAA/NGDC Paleoclimatology Program, Boulder CO, USA. ORIGINAL REFERENCE: Zhang, Z., M.E. Mann, and E.R. Cook. 2004. Alternative methods of proxy-based climate field reconstruction: application to summer drought over the conterminous United States back to AD 1700 from tree-ring data. The Holocene, 1 July 2004, vol. 14, no. 4, pp. 502-516. ADDITIONAL REFERENCE: Cook, E.R., D.M. Meko, D.W. Stahle, and M.K. Cleaveland. 1999. Drought reconstructions for the continental United States. Journal of Climate, 12:1145-1162. ABSTRACT (Zhang et al. 2004): We describe an alternative method of climate field reconstruction and test it against an existing set of dendroclimatic reconstructions of summer drought patterns over the conterminous US back to AD 1700. The new reconstructions are based on a set of 483 drought-sensitive tree-ring chronologies available across the continental US. In contrast with the ‘point-by-point’ (PPR) local regression technique used previously, the tree-ring data were calibrated against the instrumental record of summer drought (June-August Palmer Drought Severity Index (PDSI)) based on application of the ‘Regularized Expectation Maximization’ (‘RegEM’) algorithm to relate large-scale patterns of variation in proxy and instrumental data over a common (twentieth century) interval. A screening procedure was first used to select an optimal subset of candidate tree-ring drought predictors, and the predictors (tree-ring data) and predictand (instrumental PDSI) were prewhitened prior to calibration, with serial correlation added back into the reconstruction at the end of the procedure. The PDSI field was separated into eight relatively homogenous regions of summer drought through a cluster analysis, and three distinct calibration schemes were investigated: (i) ‘global’ (i.e., entire conterminous US domain) proxy data calibrated against ‘global’ PDSI; (ii) regional proxy data calibrated against regional PDSI; and (iii) global proxy data calibrated against regional PDSI. The greatest cross-validated skill was evident for case (iii), suggesting the existence of useful non-local information in the tree-ring predictor set. Cross-validation results based on withheld late nineteenth/early twentieth-century instrumental data, as well as a regionally limited extension of cross-validation results back to the mid-nineteenth century based on long available instrumental series, indicate a modest improvement in reconstructive skill over the PPR approach. At the continental scale, the 1930s ‘Dust Bowl’ remains the most severe drought event since 1700 within the context of the estimated uncertainties, but more severe episodes may have occurred at regional scales in past centuries. FUNDING SOURCES: This work was supported by the NSF- and NOAA-funded ‘Earth Systems History’ program (M.E.M. and Z.Z.-NA16GP2913; E.R.C.-NA06GP0450). GEOGRAPHIC REGION: Continental United States PERIOD OF RECORD: 1700-1978 AD DESCRIPTION: Alternative Method United States Summer PDSI Reconstructions as described by Zhang et al. 2004. PDSI reconstructions for 155 gridpoints, plus seven regional and one "global" nationwide series. DATA: 1. Regional PDSI. Regional as in Figure 1 of Zhang et al. Values for 1700 - 1894 are reconstructed. Data for 1895 to 1978 are instrumental data from Cook et al 1999: ftp://ftp.ngdc.noaa.gov/paleo/drought/pdsiinst.xls YEAR region1 region2 region3 region4 region5 region6 region7 region8 global 1700 1.9504 1.6509 0.3337 -1.3193 0.3794 -0.2195 -0.4696 -0.9280 0.2553 1701 0.5731 0.9716 0.7239 0.0300 2.0945 0.3324 0.0265 -0.5314 0.5973 1702 1.9533 1.9776 -0.4249 -0.2860 0.4696 -0.1317 0.1368 -0.2827 0.4412 1703 -1.1638 -1.2870 -0.6716 -1.0694 -0.6722 -1.2027 -0.7433 -0.5313 -0.9416 1704 0.1609 -1.5622 -0.9728 -0.9658 0.8637 -1.8762 -0.6755 -0.9793 -0.7573 1705 -0.0384 -1.0927 -0.1586 -0.3022 0.7173 -1.3157 0.3644 -0.4888 -0.2913 1706 -1.7071 -2.2012 -0.1171 0.4587 0.5005 0.1618 -0.5861 0.0201 -0.4532 1707 -0.7854 -2.3504 0.4911 0.9111 -1.1690 -0.2193 0.2164 0.3669 -0.3026 1708 -2.6748 -4.5641 -1.1692 -2.0257 -0.6516 -0.9652 -1.0924 -0.5524 -1.8421 1709 1.0203 -1.5678 0.3505 -0.8311 -0.1165 -0.7952 -0.9902 -0.1765 -0.3442 1710 -0.6514 -1.6994 0.3641 -0.6274 1.6211 0.2644 -0.3034 -0.1381 -0.1706 1711 -0.9526 -3.0765 0.9552 0.4766 1.6298 -0.1187 0.6211 0.4560 -0.0285 1712 -0.5394 -2.4638 0.4169 -0.4208 1.6860 0.6235 -0.0992 -0.0299 -0.1435 1713 0.1008 -0.4242 0.2607 -0.3391 0.1453 0.0056 -0.1633 0.0828 -0.0416 1714 -0.0705 1.1947 0.4571 0.5798 0.6949 -1.6269 -1.1712 -0.1317 0.1193 1715 0.2878 0.9992 0.6811 -0.1973 -0.9351 -1.5192 -0.9182 -0.5587 -0.1242 1716 0.7628 1.0339 0.3192 0.2809 -1.9041 -0.6220 0.8677 -0.3059 0.1177 1717 -1.6509 -1.7280 -0.9506 0.0904 -0.4280 -0.4234 0.8550 -0.1267 -0.6481 1718 -1.2952 -2.4943 -1.4918 -0.5838 0.8106 2.0127 -0.7992 -0.5013 -0.6763 1719 -0.4217 -0.0137 0.4456 0.1810 0.7788 0.0862 0.7376 -0.3128 0.1999 1720 -0.7028 -0.8417 0.2038 -0.2219 2.1003 1.0023 -0.4239 -0.2029 0.0955 1721 -2.9124 -3.3068 -1.8038 -0.5779 0.5008 1.1696 1.3939 -0.4112 -0.9875 1722 -0.6674 -1.2453 0.3179 -0.3755 -0.4829 0.2146 -0.7393 -0.1535 -0.3694 1723 -0.2842 -1.0346 0.3232 -0.7719 0.8194 1.3980 1.0031 -0.8441 0.0419 1724 0.2317 -0.8555 -1.1843 -0.8422 -0.4273 -1.5425 -0.0585 -0.8422 -0.7204 1725 0.7301 -0.4536 -0.2416 0.3370 0.6362 -0.9576 -0.4067 0.3095 -0.0013 1726 0.6283 2.7649 0.5137 0.6245 2.8873 0.8302 -0.5200 0.0434 1.0388 1727 2.3398 2.0995 1.0133 -0.0171 1.5084 0.1470 -0.4491 0.2458 0.9549 1728 -0.1278 1.6379 0.1773 -0.9584 -2.9078 -1.1304 -0.7486 0.0534 -0.4427 1729 -1.4597 0.3146 1.1384 0.9724 -2.6198 -1.3959 0.8049 0.7546 -0.1213 1730 0.6883 0.1324 0.4153 -0.3794 -0.4254 -2.5741 -0.7270 0.2311 -0.2548 1731 0.2543 0.2029 -0.0306 -0.0985 -0.4067 -1.4367 0.3790 0.3525 -0.1075 1732 1.0961 0.5358 0.9552 -0.2879 0.0524 0.2833 0.0494 0.2218 0.4093 1733 -0.4562 1.0858 -0.1390 -0.0189 -2.2928 -0.3166 0.4294 -0.2236 -0.2204 1734 0.2656 -1.0019 -1.6514 -0.4398 0.6455 0.9349 -0.0183 -0.0557 -0.3074 1735 -2.0092 -2.9880 -1.0819 -0.9853 -3.4043 0.9494 -0.3321 -0.7054 -1.4051 1736 -1.5331 -1.8643 -2.5301 -2.5612 -0.8119 -1.2367 1.3776 -1.1581 -1.5270 1737 -0.3903 1.5167 -0.8759 -1.2440 -2.3356 -0.1561 -0.4256 -0.5268 -0.5727 1738 1.1487 1.5300 0.3012 -0.5554 -0.3599 -0.1953 -1.1226 -0.3712 0.1412 1739 -0.7473 -0.3467 -1.0906 -0.3924 -1.1621 -0.5908 -0.6633 0.1332 -0.6666 1740 0.4574 0.5783 -0.5654 0.4513 -0.1233 0.8943 0.1176 0.2038 0.2149 1741 -1.3090 -0.4325 -1.6450 -0.9477 1.0198 -0.4898 -0.3809 0.0124 -0.6655 1742 0.1687 -1.0875 -2.1496 -0.7233 -0.6937 -1.4368 1.0877 -0.4021 -0.8092 1743 0.1206 -0.4501 -2.5150 -1.4467 1.9188 0.3102 -0.2183 -0.9863 -0.5750 1744 -1.1146 -1.2740 -0.7438 -0.6870 1.4137 1.4972 -0.3615 -0.7948 -0.3291 1745 1.7342 1.4255 1.3642 0.1450 2.5921 1.2091 -0.1228 0.3864 1.1542 1746 1.0324 2.2690 1.0013 -0.9064 3.7562 3.1572 -1.0370 -0.8260 1.1240 1747 0.7861 1.4718 1.2853 0.7214 2.3370 1.4124 -0.6949 -0.0001 1.0263 1748 -1.5685 -1.1918 -0.1835 -1.6349 -2.3767 -0.1935 -0.8776 -0.9204 -1.1079 1749 0.6539 1.6373 -0.4678 -1.0971 1.7090 0.2757 -0.0916 -1.0963 0.1956 1750 1.1330 2.7475 0.6999 -0.4830 -0.4367 -0.9915 -0.4916 -0.0949 0.3688 1751 0.0245 0.1056 -0.3638 -0.8661 -0.7675 -0.1552 -0.1178 -0.5196 -0.3404 1752 -0.1102 -1.1400 -0.7541 -1.2942 -3.5603 -2.4518 -0.6121 -0.1503 -1.2666 1753 0.7765 0.0843 -0.4469 -0.7113 -1.8075 -0.6678 -0.2925 -0.6779 -0.4350 1754 1.5209 -0.0158 0.9991 -0.1202 -1.0562 -0.9615 -0.2122 0.3684 0.1479 1755 0.5674 -1.1419 0.4447 -1.1773 -1.3773 -1.0030 -0.2025 -0.1439 -0.4820 1756 -1.8886 -3.1962 -0.7162 0.2699 -1.5208 -0.0044 -0.6508 0.8785 -0.9586 1757 -1.2900 -1.7537 -1.2546 -0.7326 -0.9597 -0.8780 -0.0852 -0.4368 -1.0089 1758 -0.3161 0.4245 -0.7802 -0.0889 0.9097 2.3302 -0.9171 -0.1972 0.1200 1759 -1.1352 -0.5493 0.5135 0.7248 0.3937 1.2401 -0.6202 0.3350 0.1321 1760 0.0314 -0.5839 -0.2928 0.0182 0.7836 0.4140 -1.0532 -0.4430 -0.1140 1761 1.4817 1.7489 1.6268 0.6196 -0.1998 0.7302 0.7859 -0.3446 0.9476 1762 -0.0741 0.0720 1.1671 -0.9550 0.6021 1.3427 -0.7003 -0.8612 0.1624 1763 0.5379 -0.2727 1.2385 -0.0929 -1.2697 -1.1469 -0.2761 0.0313 -0.0435 1764 -0.8511 1.0698 1.2630 0.1325 2.4217 0.1909 -1.2489 -0.2936 0.4577 1765 -1.8047 -0.5394 0.3526 -0.3504 -0.8774 -0.1951 -0.9308 -0.3984 -0.5412 1766 0.4745 1.5009 1.1214 -0.3113 2.2281 0.4821 0.8293 0.1009 0.8203 1767 0.6483 1.5477 0.1262 -1.7732 0.9827 -0.7305 -0.4260 -0.8553 -0.0245 1768 0.9331 0.6967 0.2438 1.1609 0.4760 0.1699 0.6769 0.4301 0.6165 1769 0.5314 -0.4042 0.3141 0.2645 1.3889 0.6718 0.0247 0.3622 0.3792 1770 -0.9877 -1.1153 -0.5108 -0.8383 0.2746 0.3580 0.4093 -0.2874 -0.4261 1771 0.8485 0.6587 -0.9795 0.0029 2.2131 0.5773 0.7855 -0.0196 0.4114 1772 -0.6464 -0.1991 -1.9041 -1.6784 -0.6013 -2.5117 -0.5661 -0.9106 -1.1967 1773 0.5627 0.2350 -1.1691 -1.1204 -2.3089 -2.3050 -0.5032 -0.9498 -0.9190 1774 0.6565 0.8327 -0.0013 -1.4762 -0.3342 -1.6038 -0.5775 -1.2427 -0.3836 1775 1.2377 2.9330 1.1707 -0.2361 -0.0741 -0.9582 -0.0879 -0.1737 0.6132 1776 -1.2393 1.3481 0.2329 0.2994 -0.7533 -0.5317 0.7774 -0.1219 0.0232 1777 -1.2418 0.4829 1.4629 0.3806 -1.7336 -1.4956 0.1261 0.4564 -0.0922 1778 -0.4986 1.4751 0.7266 -0.1884 -2.3039 -1.0268 -0.7140 0.3973 -0.1812 1779 -0.5768 0.4198 0.4678 0.9597 -1.5953 -0.1490 -0.3796 0.1299 -0.0065 1780 0.5861 0.7261 -0.0438 -0.6739 -2.5081 -1.6139 -0.1858 0.2561 -0.4077 1781 1.8714 1.8455 0.8143 1.7342 -1.3877 0.0244 -0.7423 1.3747 0.7988 1782 -2.1388 -1.6305 -0.2437 1.0013 -4.1810 1.2538 0.4344 1.0242 -0.6375 1783 -2.0072 -0.3528 -0.5442 0.5711 0.1328 1.3818 -0.1833 0.3015 -0.1596 1784 -0.2062 0.2458 -0.3791 -0.9410 2.0822 0.9535 -0.7655 -0.7327 0.0126 1785 0.1968 -0.9507 -0.9936 -0.5221 -0.9689 -1.4534 1.1607 -0.9462 -0.6004 1786 0.5715 0.7115 0.2052 -0.3387 -0.5826 -1.8468 0.8381 -0.0891 -0.0427 1787 0.7012 1.8417 0.1702 1.0758 1.8282 -0.0789 -0.0330 0.2109 0.7641 1788 -1.5841 -0.1312 -0.3156 0.8173 -2.0447 0.5492 0.2222 0.5092 -0.2839 1789 0.9888 0.8717 -1.1620 -0.7569 -1.2472 -2.5151 0.1840 -0.0868 -0.4971 1790 1.6086 0.8018 -0.5734 -0.0519 -0.7354 -0.9510 0.1389 -0.1843 0.0219 1791 0.1493 0.0285 -1.3658 -0.7180 0.8088 0.9635 -0.8159 -0.5315 -0.2556 1792 1.2227 1.4039 0.0295 -0.5217 1.6003 1.5514 -0.3339 -0.7227 0.5564 1793 0.2898 1.1180 0.8230 0.5203 2.3043 2.6248 1.0765 0.1292 1.0897 1794 -1.6398 -0.9105 -0.1996 -0.1935 -1.6360 0.5622 -0.4174 0.2477 -0.5641 1795 -1.4226 0.5914 0.6521 0.6730 -0.9281 0.6658 0.4391 -0.2447 0.1071 1796 -1.0561 0.2944 -0.2048 1.5272 -0.8022 -0.1097 0.3794 -0.0348 0.0316 1797 0.1242 0.8687 -0.2203 1.3635 -0.5883 -0.4316 -1.0250 -0.0114 0.1042 1798 -0.9798 -2.0604 -1.1729 -0.3598 -1.4855 -1.3851 -0.3844 -0.4061 -1.0747 1799 0.7555 0.1429 -1.2310 -0.8609 0.7223 0.1627 -0.9606 -1.0278 -0.2988 1800 -2.4975 -2.7469 -2.2699 -1.0102 -0.6961 -0.7000 0.1032 -0.5569 -1.4824 1801 1.2371 -0.1966 -0.3746 -1.0815 -0.2200 -1.9155 -0.6120 0.1268 -0.3863 1802 0.7824 0.7130 0.6708 -0.1698 1.2296 -0.4493 -1.0585 0.3758 0.3229 1803 0.6267 0.2911 -0.8453 -1.0670 -1.1738 -0.1692 0.0317 -0.6534 -0.4001 1804 0.6658 1.0528 -0.0553 -0.8545 0.7128 -0.9050 0.4967 -0.7558 0.0643 1805 0.7861 0.9166 0.6966 -0.8978 -0.3239 -2.4194 -0.0568 -0.3136 -0.1121 1806 -0.1985 0.9848 0.3836 -1.2995 -1.2895 -1.5965 0.0368 -0.8492 -0.4076 1807 -0.4715 -0.0483 -0.1112 -0.2980 -0.4169 0.3743 -0.2997 -0.0674 -0.1781 1808 -0.6026 -0.8571 -1.4671 -0.1207 -0.9253 -0.9723 -0.1442 0.2624 -0.7019 1809 -0.3412 -0.2128 -1.2352 -0.9064 -1.4271 0.3972 -0.7757 0.0248 -0.6430 1810 1.0586 1.7197 -0.5588 -0.8086 0.2262 0.9072 -0.1484 -0.4312 0.2260 1811 1.6037 2.2758 0.0673 -0.4054 1.2629 0.6804 -0.6596 -0.1200 0.6268 1812 -0.0601 -0.0679 -1.3026 -0.8442 -1.0420 -0.5244 -0.4404 0.0359 -0.6132 1813 -0.5574 0.1477 -0.3568 -0.7258 -1.5441 0.0578 -0.3974 -0.1807 -0.4598 1814 0.3538 0.2248 1.1617 -0.1927 0.1222 0.9355 -0.7455 0.3804 0.3387 1815 -0.1764 -1.2430 -0.5935 0.0521 1.1701 0.9764 -0.5401 0.4780 -0.0699 1816 0.7348 -0.9667 -1.8515 -2.0542 2.6178 1.2491 -1.2266 -0.7474 -0.4272 1817 -0.8615 -2.6573 -1.4683 -0.3020 0.2506 1.0486 -0.3425 0.1692 -0.6761 1818 -0.6192 -1.6563 -1.2636 -0.9396 -1.8936 -1.2280 -1.0195 -0.1945 -1.1555 1819 0.3354 -1.2588 -1.7396 -0.3988 -1.7101 -0.7181 -0.9052 -0.8543 -0.9291 1820 0.4582 -2.1270 -2.0327 -1.0912 -3.0008 -1.9349 0.0017 -0.8268 -1.3963 1821 -0.0810 -0.7374 -1.0843 -0.9490 -0.6485 0.1399 1.8225 -0.6593 -0.4047 1822 -1.0137 -2.5774 -1.1670 -0.8839 -3.0479 -1.7654 -0.4035 -0.4968 -1.4635 1823 -0.7717 -3.3434 -1.7397 0.1051 -2.4190 -0.5756 0.7337 -0.4773 -1.1747 1824 -1.8238 -2.5531 -1.1496 -0.5226 -1.9904 -1.2608 -0.3479 0.0820 -1.2879 1825 1.8119 -0.1013 -0.2889 -0.2607 0.3950 0.5452 1.4411 -0.3526 0.3487 1826 1.2413 1.2875 0.1887 -0.3057 0.4892 0.0673 -0.8586 -1.2550 0.2343 1827 0.3721 0.4892 0.5481 0.3335 -0.4315 1.5153 0.3899 0.1232 0.4323 1828 0.1704 2.0857 0.8861 0.7981 1.8579 0.4858 -0.3597 0.6839 0.8808 1829 -1.4713 -0.3576 -1.0692 -1.0382 -1.4445 0.0015 0.8190 -0.5950 -0.7473 1830 0.9924 2.0426 1.0189 1.0863 0.5424 -0.4369 -0.3922 0.3837 0.7814 1831 -0.9419 0.0216 0.5230 -0.0059 0.4575 -1.4499 -0.2813 0.0118 -0.1583 1832 0.4343 3.2013 0.8761 -0.5351 0.5369 -0.9533 0.4683 -0.2482 0.5543 1833 0.3169 3.4459 1.1034 0.0915 1.3713 2.8454 1.2466 0.0464 1.3179 1834 -1.5499 -0.1882 0.0744 -0.9064 -0.1990 1.0073 0.0706 0.0514 -0.2707 1835 0.6934 2.3109 -0.0994 -0.1706 0.8556 -0.0115 0.2385 -0.1859 0.4686 1836 -0.1040 2.4864 0.3482 0.0466 -0.3640 1.3752 0.8911 -0.3658 0.5609 1837 0.3194 1.9051 0.6440 -0.3820 1.1122 0.8902 -0.7890 -0.1064 0.5089 1838 0.4081 1.6410 -0.5551 -1.1259 1.5835 0.3200 0.3255 -0.3465 0.2182 1839 1.9197 4.1088 -0.7460 -1.3054 3.4760 0.2982 -1.1250 -1.2887 0.7183 1840 1.2860 2.2383 0.7782 0.2825 2.0434 0.3329 0.0445 -0.2906 0.9277 1841 -1.0638 -0.0979 0.2971 -1.2849 -1.6765 -0.9318 -0.2465 -0.6846 -0.6724 1842 -0.1367 -0.7774 0.5904 -0.3208 -1.6385 -1.7576 0.1286 -0.0017 -0.4366 1843 -1.4634 0.3369 0.5286 -0.2634 -1.4013 1.1676 -0.2693 -0.4132 -0.1819 1844 -1.0037 0.6378 1.0143 0.7303 0.7204 0.4362 -0.7183 -0.5168 0.2913 1845 0.1736 -0.9975 -0.3457 -0.5662 -1.4771 -0.3397 -1.0597 -0.7202 -0.6186 1846 -0.0083 -0.8093 -0.5822 -0.3159 -0.3550 0.5006 0.1241 -0.3331 -0.2673 1847 -0.5839 -1.5643 -0.5002 -0.5741 -2.8899 -1.4168 -0.0755 -0.5138 -1.0082 1848 -0.0966 -1.3191 -1.3898 -0.1890 0.4559 -0.5017 -0.9862 -0.3365 -0.5952 1849 -0.3537 0.4647 0.1155 0.2898 1.8401 1.6183 -1.2335 -0.2408 0.3476 1850 -0.4718 0.0359 -0.4107 -0.4628 1.4685 0.7679 -0.5154 -0.6408 -0.0437 1851 0.1128 0.4405 0.9691 -0.6361 -0.9947 -0.1693 -0.7913 0.1366 -0.0431 1852 -0.6062 -0.2860 0.0492 -0.3692 1.1744 0.6309 -0.3324 -0.2011 -0.0086 1853 1.9801 2.0060 0.8552 0.0764 1.1541 0.6263 -0.5820 -0.4231 0.8352 1854 0.6266 0.0443 0.7839 0.2421 -0.0337 -0.4503 0.8324 0.1411 0.3076 1855 -0.7755 -1.8605 -0.8871 -1.0801 0.2294 -1.8755 -0.1562 0.1787 -0.8789 1856 -1.3387 -2.0176 -1.8054 -1.4998 -0.0664 -0.6574 -1.2234 -0.6927 -1.2694 1857 -0.5817 -1.8671 -0.9841 -1.1247 -2.4689 -1.4658 -0.3879 -0.2411 -1.1954 1858 -0.1126 0.2824 0.2257 -0.2101 0.4457 0.1199 0.0581 -0.4361 0.0734 1859 -1.2036 -1.2752 -0.6664 -0.2118 -1.1555 -2.6875 -0.0072 -0.1669 -0.9350 1860 -0.0262 -0.2611 -0.9479 0.1045 -1.1301 -1.8639 -0.3281 -0.0644 -0.5689 1861 0.0825 -0.6436 0.0468 0.1822 -2.2133 -1.7217 -0.5637 -0.4117 -0.5612 1862 1.7147 0.3852 0.6894 0.4954 1.3893 -2.3657 1.5951 0.3176 0.5598 1863 -1.1571 -3.5737 -1.1560 -0.3059 -2.2801 -2.0062 0.2628 -0.2293 -1.3824 1864 -1.6709 -2.6157 -1.1427 -0.8247 -2.1606 -2.0647 0.2116 -0.5154 -1.4191 1865 -1.7835 -2.9158 -0.7797 0.3717 0.2710 -0.4454 0.0245 -0.3906 -0.7630 1866 2.1441 1.6873 0.3088 0.8508 1.5448 0.1649 0.9032 -0.0477 0.9901 1867 -0.2070 0.8781 0.1730 0.1136 1.1515 0.9431 0.0367 -0.0864 0.3765 1868 1.7773 1.4304 0.3654 -0.6010 2.8218 0.3968 0.3043 0.0260 0.8064 1869 -0.1575 0.3984 2.0440 1.2225 1.6688 2.4762 -0.1265 0.6498 1.1081 1870 -1.4417 -1.1696 -1.1696 -0.4947 -0.9568 0.4538 0.1873 -0.6453 -0.7385 1871 -2.0378 -1.9129 -0.9862 -0.7029 -1.8952 0.6424 0.1810 -0.7379 -1.0140 1872 -0.3965 -1.1156 -0.1512 -0.5630 -2.1363 0.4865 -0.4963 -0.7523 -0.6121 1873 -0.3515 -0.5262 -0.6507 -0.3696 -2.8100 0.1143 0.3191 -0.9069 -0.6437 1874 -0.4481 -1.9696 -1.5406 -1.6494 0.1391 -0.4754 -0.0736 -0.4764 -0.9552 1875 -1.2661 -0.5404 0.1315 -0.4609 -1.2277 0.0460 -0.1363 -0.2097 -0.4578 1876 0.1157 -0.7262 0.0970 0.7908 -0.8906 0.2754 -0.3411 0.0113 -0.0403 1877 -1.3058 -0.1351 0.7253 -0.4725 -2.3778 0.3348 -0.8426 -0.4129 -0.4779 1878 0.3439 1.7345 1.6952 0.6841 -0.1186 -0.5727 -0.1566 0.0350 0.6206 1879 0.5259 0.4919 0.9722 -1.0309 -3.1970 -1.4117 -0.4884 -0.6134 -0.4563 1880 -0.3584 -0.1498 -0.1565 -0.2267 -1.5097 -1.5721 -0.5444 -0.3253 -0.5526 1881 -0.1948 -0.2978 0.8043 -0.7560 -2.1396 -0.0187 -0.4363 0.2665 -0.3109 1882 0.0180 1.0508 1.8194 1.4870 -1.3986 0.0280 -0.0320 0.9809 0.6261 1883 -0.3753 1.6108 1.0417 1.3666 -1.7690 -0.2794 0.1439 0.7284 0.4066 1884 1.6340 0.7635 0.8876 0.5555 1.1016 0.8139 1.2208 0.3592 0.9311 1885 1.2261 1.3792 1.3235 -0.9808 0.4177 0.8732 0.3058 -0.2971 0.5951 1886 0.3593 -0.3108 -0.9362 -0.8445 0.1343 -1.6810 1.1935 -0.2951 -0.3848 1887 0.3950 -0.0060 -1.4113 -1.7583 -0.1477 -0.6883 -1.0861 -0.7370 -0.7332 1888 -0.1843 1.3041 0.1964 -1.2471 1.1051 1.5200 0.5703 -0.8483 0.2791 1889 -0.8871 -0.5271 0.3492 0.7485 0.8173 0.7158 0.0564 1.2175 0.2515 1890 0.5851 -0.2347 -0.6421 0.1052 2.1517 0.5939 -0.7981 0.3707 0.2111 1891 2.4616 1.8202 -0.0388 -0.0861 2.3643 0.4228 -0.0029 -0.1575 0.8695 1892 0.2660 1.5485 1.5295 1.2350 0.7772 -0.8651 0.1239 1.1097 0.8094 1893 -0.1640 0.6554 -0.3352 0.0186 -0.2273 -1.4201 -0.5973 -0.0343 -0.2314 1894 1.5712 1.4167 -0.9551 -1.4101 -0.8249 -0.7616 -0.9264 -0.7530 -0.3129 1895 0.7552 1.8489 0.4630 -1.3591 1.5772 2.3233 -0.0033 -1.3457 0.5711 1896 2.0587 1.8769 1.2470 -0.4778 -1.4071 -2.2422 -0.7412 -0.9280 0.1533 1897 -0.2892 -0.5123 0.4321 -0.6862 -0.5271 -0.6741 -1.0848 2.2847 -0.2241 1898 -1.5429 0.7344 -0.7378 0.2198 -1.4453 0.4071 -0.6967 0.7422 -0.3504 1899 0.3531 1.1548 0.4095 -1.2078 -2.5218 -0.1301 -1.1977 -1.4621 -0.4235 1900 -0.1346 -2.0136 -1.0884 -0.7808 -4.4692 2.0317 0.6454 -0.3300 -0.8798 1901 -0.2104 -2.1480 -0.8442 -1.9264 -2.4343 -1.8055 2.1923 1.2268 -0.9917 1902 -0.1271 -2.1444 1.9195 0.1009 -4.5969 -2.1913 -1.9526 2.2413 -0.7383 1903 -0.2586 -0.2177 2.4441 0.4285 -2.4711 1.9688 0.8131 1.8642 0.5845 1904 -0.2776 -0.1378 2.3397 -0.0156 -3.6994 -0.5187 -1.4322 0.2627 -0.2200 1905 -1.2345 -0.5571 2.7328 0.9593 4.7894 3.1112 -0.3374 0.3695 1.3141 1906 2.4662 2.8211 2.1269 -0.0104 4.0638 1.4391 1.7225 0.8160 1.9506 1907 2.1042 5.2185 2.0289 0.7904 3.2557 -0.2765 -0.2066 0.1937 1.8408 1908 0.2412 4.3939 1.8388 -0.0669 -0.2203 1.4519 -0.0169 -0.6004 1.0546 1909 -0.4358 5.3554 1.5739 0.1122 0.7532 -2.1111 0.8899 -0.3885 0.8903 1910 -2.2184 0.0708 -2.6705 -0.5224 -2.1334 -2.3884 0.8964 -1.0474 -1.3712 1911 0.5666 1.4613 -2.9475 -1.3744 0.9399 -1.8493 -2.5399 -1.5741 -0.9231 1912 1.6790 3.8533 0.3266 0.9234 1.4371 -0.1381 1.7097 -0.0266 1.2640 1913 1.8408 3.8264 -0.9799 -1.2705 -0.2242 -0.9236 -0.6981 -1.7036 0.0792 1914 0.9610 2.5504 0.0046 -2.2675 1.8703 2.4864 -2.5459 -0.5796 0.3334 1915 0.2757 3.1409 3.1108 1.1686 3.6994 2.5719 -0.3824 0.4616 1.9403 1916 1.8561 4.3046 1.7697 0.5303 2.9504 -1.3905 0.1357 0.8059 1.5057 1917 0.2621 1.4720 -0.8233 0.8272 2.3422 -3.4353 -0.3922 1.3694 0.1625 1918 -1.8604 0.8067 -1.7353 -1.6246 0.0577 -4.2239 -1.4556 -0.5258 -1.3514 1919 -2.5054 -3.4080 0.3824 -0.3406 2.0080 4.3554 1.5375 -0.0334 0.0630 1920 0.2550 2.4812 0.8623 0.5013 1.8815 3.0974 1.3116 1.4271 1.3817 1921 0.3788 0.7436 -1.0857 -1.3883 1.0539 0.7282 -1.2419 -1.5342 -0.2839 1922 -0.2026 1.2708 -0.9166 -0.4518 1.4054 0.0276 1.0075 1.7559 0.2709 1923 0.4346 2.6715 0.1621 0.0680 0.4009 -0.1990 0.6225 -1.1207 0.4708 1924 -4.7535 0.0398 0.7180 0.6402 -0.6508 -0.2849 0.5444 0.4824 -0.4275 1925 -0.5931 0.1170 -0.7677 -2.5557 -0.0622 -3.6872 -2.5764 -0.4614 -1.2944 1926 -2.9855 -0.1570 -1.4989 -0.3073 -0.2611 1.6968 -0.5769 0.1753 -0.6408 1927 0.8918 3.3148 1.4486 1.8988 0.3728 -0.4376 -2.1913 0.7759 0.9947 1928 -1.8040 2.8380 1.3636 2.1652 -2.5309 -0.4071 1.9221 2.7128 0.7545 1929 -1.5433 0.2293 -0.2540 0.9540 -1.0398 -0.3995 2.2059 0.0909 -0.0311 1930 -1.9836 -1.1085 -1.0187 -2.5617 0.4258 -1.3783 -1.2921 -1.2288 -1.3204 1931 -2.9354 -3.8826 -2.7859 -3.1886 1.4027 1.4108 -1.8478 -0.5792 -1.8459 1932 0.1997 -0.9800 -0.8988 -0.7512 2.4734 1.2280 -0.9336 -0.6962 -0.1024 1933 -0.6088 -1.8040 -2.8481 -0.8450 0.1523 -0.5183 -0.8884 -0.1165 -1.1230 1934 -4.1771 -5.4332 -6.2260 -3.1554 -3.4531 -2.6223 -0.0117 -0.8702 -3.7217 1935 -1.3119 -3.1095 -1.1839 0.1906 0.6999 0.4328 -0.5581 0.0001 -0.7114 1936 -0.5846 -3.5559 -4.0507 -3.1356 -1.1535 -0.7194 -0.9096 -0.1488 -2.1292 1937 0.6845 -3.0775 -2.9339 0.4678 0.9746 -1.2389 0.3576 0.5740 -0.7510 1938 0.2739 0.3327 -0.9095 0.5691 0.7676 -0.2267 0.2053 1.0954 0.1573 1939 -2.9460 -2.0551 -2.5125 -0.0176 -0.5269 -1.4229 0.5370 -0.7686 -1.3688 1940 -1.9228 -3.0757 -2.8757 -0.1864 -0.8075 0.6105 -0.1178 0.2841 -1.2645 1941 2.6702 -0.3134 -0.1566 -2.2372 6.7971 5.5709 -0.3999 -1.7849 1.1783 1942 3.0370 1.8720 2.6459 0.3432 0.4409 3.3899 -0.1366 -1.0234 1.5601 1943 1.6989 1.0887 0.9398 -0.2293 -1.0361 -1.4322 -0.7605 0.0402 0.1730 1944 -0.5327 0.8343 2.3211 -1.1301 0.3989 0.4484 -0.7339 -1.8445 0.2031 1945 1.4078 1.0117 2.3037 2.0363 0.4397 0.3725 0.3475 1.1107 1.2822 1946 0.0780 -1.2100 -0.4308 0.4670 -1.4261 0.5043 1.2676 0.1804 -0.1428 1947 0.0068 2.2609 1.2862 0.5519 -2.2362 -0.2320 0.7841 1.0034 0.4873 1948 2.9806 0.9259 0.0160 0.2955 -1.3708 -1.3716 1.2276 -0.2639 0.3641 1949 -1.0725 -1.1275 0.2817 0.3880 0.2987 1.6679 1.2682 -2.0625 0.0163 1950 0.2912 -0.3507 1.1569 2.4980 -2.8782 0.4505 -0.5961 -1.4440 0.1795 1951 -0.1643 0.2658 2.6865 1.2441 -3.1840 -2.5218 -1.5626 0.6549 -0.0282 1952 0.7490 -0.7865 -0.2567 -0.9094 1.1540 -2.9564 -1.4659 0.5704 -0.4856 1953 1.2261 0.2718 -0.0684 -1.5612 -1.8492 -2.5079 -0.6299 -0.9915 -0.6723 1954 -0.3699 -2.3763 -0.9059 -2.6087 -2.5888 -3.2684 -2.4396 0.5055 -1.8091 1955 -0.5535 -2.1974 -2.5272 -1.3837 -1.2014 -2.4681 -1.8437 -0.9280 -1.7053 1956 1.0620 -2.7758 -3.1947 0.0418 -3.4726 -4.2227 -1.5963 -0.5956 -1.8722 1957 0.6328 0.1108 0.8507 1.1150 -0.6667 0.8143 0.4181 -2.5976 0.3218 1958 0.9749 -1.3436 0.6920 1.7261 1.2011 1.8692 1.0736 1.4381 0.8922 1959 -1.3856 -1.8282 -0.7935 -0.4773 -2.6237 1.2607 1.3006 -1.0366 -0.7767 1960 -1.5217 -3.3245 1.0470 0.2939 -2.0741 1.1338 1.3745 0.1056 -0.3988 1961 -1.1571 -4.4419 -0.7748 1.4555 -2.0804 1.8928 1.4126 0.0544 -0.5717 1962 0.0179 -0.0871 1.7505 -0.7785 -0.9116 -1.0076 0.1474 -0.7057 -0.0560 1963 1.3727 -1.1802 -0.9278 -1.4384 -2.2721 -2.8477 -0.3571 -1.4956 -1.0845 1964 0.8428 -0.3422 -1.0741 -1.6856 -2.0871 -2.4416 1.4089 -2.4213 -0.9441 1965 1.4700 2.5150 1.5769 -1.0241 1.4472 -1.2716 1.2546 -3.8020 0.5664 1966 -2.4794 -2.0427 0.0554 -1.3869 0.6090 0.0946 0.8311 -3.3206 -0.8840 1967 0.6600 0.9904 -0.0897 0.7356 0.5148 -2.2376 0.4526 0.4445 0.2094 1968 -0.8157 1.1544 0.3984 0.5756 0.1847 1.8880 -0.3605 -0.8828 0.3523 1969 0.5119 0.6113 1.0237 0.4269 1.0043 -0.0085 0.5144 0.2534 0.5911 1970 -0.2252 1.5119 -0.6253 0.2953 -1.4824 -0.3911 -0.1507 -0.6030 -0.1626 1971 1.9857 0.4939 -0.0247 -0.0765 -2.1637 -1.1049 0.8330 -0.4469 -0.0071 1972 -0.6865 0.2522 1.2483 0.6755 -2.2523 0.3310 1.0100 2.5847 0.3164 1973 -1.7122 0.0070 1.3057 2.7509 2.8516 2.5754 1.3793 2.1847 1.3361 1974 0.0205 -1.1982 0.3080 2.2484 -2.0518 -0.2848 1.2915 0.9110 0.1666 1975 1.4877 2.8018 0.5715 2.0637 0.4174 3.2184 1.4804 0.3901 1.5813 1976 -0.5115 2.0531 -1.8479 0.3959 -0.8038 0.4891 1.0262 1.4733 0.0750 1977 -3.5020 -2.3250 -0.9406 -0.6502 -1.3361 -0.7106 -1.8684 0.0167 -1.4711 1978 1.2371 1.4484 1.1460 0.1476 2.3713 -1.6451 0.5557 -0.1081 0.7402 2. Alternative Method United States Summer PDSI Reconstructions by gridpoint a. Gridpoints 1-26 LON -122.5 -122.5 -122.5 -122.5 -122.5 -122.5 -122.5 -119.5 -119.5 -119.5 -119.5 -119.5 -119.5 -119.5 -119.5 -116.5 -116.5 -116.5 -116.5 -116.5 -116.5 -116.5 -116.5 -116.5 -113.5 -113.5 LAT 49 47 45 43 41 39 37 49 47 45 43 41 39 37 35 49 47 45 43 41 39 37 35 33 49 47 YEAR 1 GP 2 GP 3 GP 4 GP 5 GP 6 GP 7 GP 8 GP 9 GP 10 GP 11 GP 12 GP 13 GP 14 GP 15 GP 16 GP 17 GP 18 GP 19 GP 20 GP 21 GP 22 GP 23 GP 24 GP 25 GP 26 GP 1700 -0.5622 0.0044 1.4120 1.8831 1.8869 2.2900 2.8811 0.7193 1.0032 1.8131 3.3418 3.5163 2.8677 2.5455 2.3990 0.2777 1.0025 2.1495 4.0215 3.5516 0.8259 0.5515 0.9474 1.3006 0.8630 1.4000 1701 -1.0552 -0.1661 -0.2060 -0.2610 0.8636 0.8905 0.9142 0.1866 0.2502 0.5578 1.5431 1.3205 1.0381 -0.0673 0.9319 -0.0661 0.1848 0.7371 1.6875 1.2072 1.0265 1.0429 1.0759 1.1756 -0.5935 0.4381 1702 -1.4931 -0.6257 0.0668 2.2812 2.7712 3.0349 3.3922 1.3026 1.2849 2.7528 4.2148 3.5967 3.3387 3.3329 1.3696 0.5748 1.0914 1.6463 3.5588 2.2910 0.9766 0.8043 1.8387 1.7069 2.3368 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-1.3132 -1.3882 -1.2447 -2.0916 -0.9948 -0.6107 -0.7100 -2.3536 -2.8131 -2.6627 -2.5038 -2.0249 -1.9586 -2.2521 -2.1788 1823 0.4489 0.6551 0.1890 0.0203 -0.2764 -0.2633 -1.5507 -0.3808 0.4434 -1.2927 -1.0363 -0.3328 -0.1648 -1.1368 -2.9362 -0.8109 -0.6724 -0.8038 -2.3605 -2.4056 -2.3782 -2.2653 -3.9577 -3.6428 -2.5537 -2.7467 1824 1.6060 1.0041 0.0192 -0.4307 -1.4447 -1.7869 -3.1904 -1.2197 -0.3133 -1.5389 -3.1778 -3.4559 -2.8679 -3.6403 -2.4628 -0.7475 -0.7029 -1.1430 -3.6103 -3.8797 -2.2036 -1.9030 -2.1328 -2.2082 -2.6991 -2.8493 1825 -0.2879 0.3250 1.1675 2.3333 2.4010 2.4263 2.7640 1.5303 1.6658 1.9252 3.6879 3.8409 3.2045 2.3556 1.7066 0.6342 1.3313 1.4853 1.2541 0.9889 1.7570 1.7341 1.7151 1.6303 -1.9548 -1.5946 1826 -0.9277 -0.2193 0.3156 1.3665 1.3430 1.1979 2.3614 0.1653 0.6439 1.8497 2.9920 2.9937 2.1940 1.1551 2.6396 -0.2145 0.7779 1.8956 2.2151 0.8564 1.0762 1.0745 1.8113 1.8306 -1.0624 -0.6381 1827 0.3882 0.4388 0.1021 -0.1922 -0.2545 -0.5046 -0.2497 0.2205 0.7791 1.1540 0.7331 0.8757 0.2464 -0.5550 -0.3053 0.2629 0.6694 1.1431 1.1220 0.5101 -1.0779 -1.0799 -1.1818 -0.8697 -1.7855 -1.5391 1828 -1.9081 -0.7414 -0.5372 -0.0538 0.7344 0.6388 1.8149 -0.9608 -0.6970 0.1749 0.5645 0.6490 0.6913 -0.0392 1.7045 -0.6404 -0.2078 0.2418 0.8760 -0.0884 1.0882 1.0388 1.7377 1.8113 -1.5406 -0.6866 1829 1.8759 0.0618 -0.7174 -0.5439 -3.2344 -3.2848 -5.4564 -2.2662 -1.6675 -0.7363 -2.8851 -2.4526 -2.8354 -4.4558 -3.6902 -1.6027 -0.9873 0.6035 -1.9429 0.0207 -1.5560 -1.6646 -2.7270 -2.7127 -0.9529 -0.4225 1830 -0.1932 -0.4866 -0.3397 0.9287 1.0322 1.1683 1.1268 0.2465 -0.0472 0.4855 1.3562 2.0084 1.6433 0.9995 -0.1581 0.5661 0.8446 1.0984 1.5205 2.3227 -0.2947 -0.2908 0.1634 0.2577 0.4302 1.2516 1831 -0.6196 -0.8899 -1.4837 -1.1519 -0.9748 -1.1023 -1.2366 -1.2332 -0.8605 -1.3886 -1.6052 -0.9137 -1.1322 -1.4393 -0.0042 -1.1739 -1.1468 -0.9636 -0.9191 -0.4392 -0.4869 -0.4350 0.0955 0.3679 -2.6211 -1.9984 1832 -0.7396 -0.3897 -0.1982 -0.1958 0.2622 0.5229 1.0241 -0.1360 0.1756 0.0559 1.2686 2.2601 1.4800 0.1740 2.2074 -0.1076 0.3066 0.2849 0.9464 1.2568 0.6493 0.7790 2.0696 2.0126 1.8663 2.7483 1833 -0.4795 -0.6351 -0.7090 -0.7182 -0.7575 -0.5227 0.6486 -0.4565 -0.8788 0.3294 0.6912 1.3732 0.5472 -0.3316 0.8693 -0.1880 0.2059 0.6222 1.6014 0.7817 -0.9074 -0.5896 0.7813 0.8419 1.9761 2.5233 1834 -0.3257 -0.0183 -1.2285 -1.4015 -1.7081 -1.8282 -2.4039 -1.7196 -0.9905 -1.9830 -3.1563 -2.0472 -2.0361 -3.0546 -1.5298 -1.6127 -1.8719 -1.0031 -2.2352 -2.7313 -1.9539 -1.6225 -0.6469 -0.6306 -1.5575 -1.4581 1835 -0.3241 -0.2676 -0.8592 -0.2349 0.8985 1.2052 0.8733 1.0661 0.6390 0.7359 0.2343 0.9513 1.0067 0.8170 -0.0361 1.2142 1.4221 1.6247 0.8436 0.4039 0.4011 0.4578 0.5953 0.5556 0.3279 0.8716 1836 -0.0093 -0.0981 -1.1295 -1.0169 -0.5970 -0.3541 -0.6752 0.0306 -0.0163 0.6075 0.1035 -0.4075 -0.4491 -0.5843 -0.2717 0.0400 -0.0772 0.5797 0.8808 0.1547 -1.5749 -1.4258 -1.6050 -1.2519 0.4943 0.9074 1837 0.2695 0.3964 0.3214 -0.4775 -0.5051 -0.2677 -0.4939 0.2086 -0.0855 0.2922 -0.2730 -0.3612 -0.4078 -0.4551 0.4493 0.4596 -0.0082 0.4020 0.3792 1.0454 0.5068 0.3090 -0.3659 -0.0645 -0.7042 -0.0679 1838 0.7414 0.2356 -0.1583 -0.0974 0.8521 1.3239 1.7872 -0.3560 -0.1854 -0.9250 0.0625 0.7034 0.9648 1.5897 1.7453 -0.5773 -0.9129 -0.7146 -0.0982 0.8141 1.4593 1.3484 1.5609 1.5817 -0.2202 0.5327 1839 0.3448 0.4591 0.4717 0.6350 2.1435 2.7048 2.3939 1.2850 0.8061 1.1608 0.5388 1.4339 1.9555 3.0512 3.8430 1.1719 0.9193 2.1841 1.8623 2.9720 4.3347 4.0350 4.5444 4.2551 2.0412 2.7578 1840 0.2162 0.3954 1.0033 0.4870 0.8336 1.0963 0.8996 0.6049 0.4982 1.0737 0.7270 1.7937 1.5832 1.0376 3.2077 1.1562 1.2206 1.9048 1.2705 1.4941 1.6136 1.5019 3.0904 2.9169 0.6603 0.9819 1841 3.0955 1.9358 0.8357 -1.4064 -2.2397 -2.0415 -3.9571 0.6949 0.4233 -0.4362 -3.2339 -4.6948 -3.5239 -2.9190 -4.4032 1.3713 0.6147 0.1946 -2.6932 -2.6242 -3.0417 -2.8016 -2.8047 -2.9502 1.1101 0.4863 1842 0.8838 0.6698 1.2708 0.7325 -0.7341 -0.7416 -0.6560 -0.0245 0.6494 0.0509 -0.6659 -0.2047 -0.3593 -0.6498 -0.6690 0.0911 0.1270 0.3343 -2.0783 -1.4035 -2.3727 -2.3381 -0.7652 -0.6389 -0.2632 -0.7223 1843 1.8418 1.1256 -0.0453 -1.4062 -2.0024 -1.9917 -3.7375 0.0740 0.1917 -0.7873 -3.2093 -4.3115 -3.2688 -2.8864 -3.1326 0.4409 -0.1512 -1.0420 -2.7914 -4.1121 -2.3369 -2.3021 -3.2376 -3.0174 -0.4598 -0.5221 1844 0.8636 0.3478 -0.4083 -0.3831 -1.7004 -1.7435 -2.6629 -1.4140 -1.1635 -0.8642 -2.1479 -2.4485 -2.1450 -2.5786 -0.2835 -0.8690 -0.9347 -0.1150 -1.5099 -1.4808 -0.4992 -0.4580 -0.6415 -0.3382 -1.4236 -1.0710 1845 2.6410 2.3506 1.5125 0.5559 0.2173 0.2384 -1.7972 1.6588 1.6535 0.8231 -0.2490 -1.6378 -0.7865 -0.6648 -2.2712 1.6980 1.0744 0.5834 -0.8426 -1.6195 -0.7969 -0.7944 -2.3305 -2.1469 -0.1027 -0.9272 1846 1.1357 1.3091 0.8596 0.3232 0.5130 0.4446 0.7458 0.7705 0.5863 -0.0823 -0.4277 -2.1074 -1.0153 0.8392 1.2313 0.8132 0.6618 -0.3832 -1.5283 -3.8980 -1.1342 -1.0524 -0.0584 0.3578 -1.4765 -1.6482 1847 1.0347 1.0658 0.9170 1.0718 0.0547 0.2133 -1.0914 -0.7581 0.3287 -1.6602 -0.9263 -0.8294 -0.4070 -0.9372 -1.2944 -0.6905 -0.8150 -1.1158 -1.5331 -1.8516 -2.1463 -2.3028 -2.2233 -1.7820 -1.4197 -1.8290 1848 0.9479 0.3272 -0.1039 -0.1002 0.7474 0.8786 1.3909 -0.0371 -0.0223 -1.1985 0.3059 -0.8107 -0.0513 1.8056 1.7775 -0.4679 -0.3998 -1.3431 -1.6548 -1.7235 -0.1793 -0.0274 0.3822 0.6931 -2.1845 -2.5490 1849 1.8135 0.8133 0.3515 -0.5731 -0.5697 -0.2660 -0.9951 -0.9616 -0.2750 -1.2589 -0.7484 -0.7309 -0.4692 -1.1789 1.3219 -0.8786 -0.9444 -0.8003 -1.0288 -0.8627 0.2036 0.5344 1.0857 1.1780 -1.1171 -0.9451 1850 0.3223 -0.5566 -0.4740 -1.0123 -0.9603 -0.7588 -0.2387 -1.7746 -0.9160 -0.6313 -0.1375 0.1372 -0.2241 -0.7259 1.8782 -1.9764 -0.9257 -0.6213 -0.2048 0.1711 0.3540 0.6400 1.5339 1.5181 -1.4974 -1.2167 1851 0.2386 0.5487 0.5323 0.9642 0.2837 0.2706 -1.6221 -0.4374 -0.2291 0.4888 0.2385 -0.9689 -0.5043 -0.3552 -1.1170 -0.1979 0.1948 0.8321 0.0276 0.7494 -0.8017 -0.8798 -0.9125 -0.7531 1.1072 0.8223 1852 0.0867 -0.1327 -0.0864 -0.3797 0.1049 -0.1053 -0.0047 -1.3832 -0.6763 -1.3855 -1.1144 0.1373 -0.0276 -0.6198 1.8900 -1.5732 -1.7979 -1.3401 -2.0880 -1.1764 1.0619 0.8458 1.1248 1.2342 -1.0217 -0.9622 1853 -0.6973 -0.5396 0.2606 1.2001 1.8889 2.1028 2.6582 0.9029 0.5452 2.9990 3.6765 2.8730 2.4284 2.4709 1.9709 0.5714 1.5358 2.6580 3.3248 3.5122 1.8712 1.3931 1.2290 1.4598 1.2150 1.6611 1854 -0.8418 -1.0420 -0.1729 1.0840 1.0752 1.4296 1.4769 -0.8445 -1.0133 0.0718 2.2023 1.1856 1.2847 1.6285 0.4492 -0.4221 -0.1106 0.7269 1.1989 1.3560 0.1110 -0.1031 0.6469 0.7366 -0.0701 0.2232 1855 -2.1297 -1.1867 -0.8597 -0.0863 0.4138 0.1985 1.1841 -2.2237 -2.1926 -0.4360 -0.5043 -0.5537 -0.1919 0.2258 1.7824 -1.2197 -0.8795 0.8053 -1.1031 -3.1361 -0.9437 -0.5868 2.9207 2.6988 -0.7653 -1.1767 1856 0.3827 0.6005 -0.7596 -0.8793 -1.2585 -1.2516 -1.7675 -0.2124 -0.2006 -0.1845 -1.5282 -4.1809 -2.8916 -1.1904 -0.0609 0.0936 0.2728 -0.0093 -2.1168 -5.1263 -3.5422 -2.8128 -0.5948 -0.2695 -1.5045 -2.3191 1857 1.1590 1.5036 0.2831 0.1491 -0.6474 -0.6315 -2.9250 0.2601 0.9876 0.5563 -0.8350 -1.5086 -1.0678 -1.5576 -3.9401 0.1562 0.3047 0.5433 -1.6383 -2.2050 -4.2658 -4.0108 -3.8767 -3.6634 -0.0443 -0.9859 1858 0.9961 0.9973 -0.0606 -0.1764 -0.7577 -0.5323 -1.5633 0.2960 0.2754 0.6369 -0.4280 -1.7877 -1.1899 -0.5695 -0.9593 0.5665 0.5358 0.8350 -0.2955 -1.3824 -1.2803 -1.0117 -0.5648 -0.4293 -0.3962 -0.4480 1859 0.4983 0.0498 -0.5029 -0.3331 -1.5943 -1.6278 -2.1385 -2.0742 -1.0766 -1.6570 -1.6735 -1.1483 -1.3053 -1.7128 -1.8741 -2.0119 -2.0438 -1.1285 -1.2749 -2.0402 -2.2402 -1.9382 -1.5421 -1.5707 -2.2286 -2.1023 1860 0.5236 0.5866 0.2668 0.3131 0.7603 0.8305 0.4556 0.1922 -0.0153 0.2367 0.1750 -1.8179 -0.7061 0.8337 -0.3638 0.1179 0.2973 0.4668 -0.3254 -1.6278 -1.3280 -1.3353 -1.9697 -1.5606 0.4382 0.6632 1861 1.5184 0.9426 0.6639 -0.1230 -0.8070 -0.9390 -0.4117 0.3202 0.2962 0.9559 1.1394 0.4739 -0.2211 -0.0878 -0.8672 0.4476 0.2351 0.9521 0.3646 0.5570 -1.5078 -1.6198 -0.3868 -0.3065 0.2066 -0.1311 1862 0.5969 0.5219 1.1981 2.1774 2.4183 2.5856 3.6352 1.7154 1.1593 1.5557 3.5263 1.3063 1.9195 2.5270 2.5738 1.6245 1.9132 1.5974 2.1221 -0.6790 1.2528 1.6213 3.4128 3.0607 0.4265 0.3947 1863 0.3393 -0.1321 -0.9975 -1.1586 -0.4615 -0.4941 -0.0815 0.0167 0.5345 -0.9946 -0.6901 -1.9278 -1.2982 -0.2250 -1.9099 -0.5966 -0.3035 -0.5235 -1.7946 -4.4938 -4.8252 -4.2052 -1.7604 -1.6495 -1.2620 -2.5582 1864 1.8632 1.3391 -0.1244 -1.0998 -2.0452 -2.0551 -3.7358 -0.8615 -0.1389 -1.1713 -2.8068 -2.9767 -2.4685 -2.6102 -2.7950 -0.5299 -0.0777 -0.4642 -3.0327 -3.6597 -2.5180 -2.3667 -2.6682 -2.4782 -2.2964 -2.5791 1865 0.3396 -0.2526 -1.4073 -1.3981 -1.6393 -1.7431 -2.0479 -2.3670 -1.4949 -2.4955 -2.2194 -1.5935 -1.7280 -2.4906 0.5571 -2.4065 -2.4920 -1.5451 -2.3556 -2.3100 -0.4698 -0.3770 0.0626 0.1985 -4.5421 -4.4935 1866 1.5325 1.0641 1.0235 1.6961 1.9625 2.1584 2.0193 2.9014 2.4419 2.8442 4.4975 2.6051 2.3870 1.9571 1.6760 2.1044 2.7206 2.3360 3.3942 2.1025 1.4345 1.3242 0.8507 1.1230 1.0970 1.2684 1867 1.4739 -0.0030 -0.6989 -0.8121 -0.5544 -0.4288 0.0434 0.1860 0.7706 -0.4904 0.4177 0.8581 0.2733 -0.6299 0.5091 -0.4131 -0.2722 -0.5714 -0.4127 -0.5435 0.9819 0.9781 0.0399 0.1138 0.0230 0.3206 1868 -1.3358 -0.6684 0.2433 1.5174 2.6505 2.9047 3.0634 1.2581 1.1292 1.3812 4.1285 3.3700 3.1426 2.6651 3.5280 0.4685 1.1941 1.1833 2.2432 2.2480 3.0898 2.9581 3.1129 3.0824 0.6059 1.0205 1869 -2.9657 -0.9611 -0.3748 0.1755 1.3930 1.3655 0.5921 -1.4326 -1.2196 -0.9938 0.0912 0.6449 0.9488 -0.1373 2.1824 -0.9306 -0.6722 0.1301 0.2519 -0.0235 0.6740 0.6373 1.6834 1.9920 -2.1086 -1.2881 1870 -0.4623 -1.0664 -1.5301 -1.5525 -1.3331 -1.4073 -2.1243 -2.3516 -1.3113 -1.3330 -1.1945 -0.0712 -0.5960 -1.8300 0.2484 -1.9839 -1.0440 -0.5412 -1.6434 -2.0963 -0.7475 -0.7165 -0.5485 -0.3252 -1.2928 -0.8034 1871 -0.1856 -0.1348 -0.6985 -1.1218 -2.1623 -2.4117 -3.8781 -2.0934 -1.4896 -1.2375 -2.8523 -2.4974 -2.4888 -3.1534 -1.6742 -1.4151 -1.0341 -1.0281 -3.2256 -3.3150 -2.6140 -2.4008 -1.9086 -1.7765 -1.4157 -1.6025 1872 0.0176 -0.0191 -0.1899 -0.5027 -1.0767 -1.0058 -1.9796 -0.4226 0.5233 -0.5035 -0.1608 2.0219 0.7111 -2.2307 -1.2391 -0.9290 -0.2759 -0.3179 -0.0293 0.4687 -2.1737 -2.0835 -2.4677 -2.1645 -0.4179 -0.5502 1873 1.1381 0.1663 0.0702 -0.3913 -1.1516 -0.8723 -1.4689 -0.6952 0.3221 0.0398 0.3228 0.5054 -0.0815 -1.0068 -1.6171 -0.6616 0.0965 0.4440 -0.6323 0.0350 -2.4740 -2.6203 -3.0637 -2.6587 0.5612 0.2818 1874 0.9313 0.1034 0.0778 0.4033 -0.1544 0.0105 -0.4773 -0.8433 -0.2540 -1.3887 -0.2469 -0.3951 -0.0994 0.1640 0.9416 -0.9423 -0.7523 -0.9248 -1.7918 -1.8330 -0.2726 0.0483 1.4067 1.1460 -2.3242 -2.2110 1875 0.8933 0.8000 0.3171 -0.7677 -2.1538 -2.4013 -3.0608 -0.5731 -0.2502 -0.8131 -1.8660 -2.4653 -2.4578 -3.0220 -1.7841 -0.3364 -0.4244 -0.1509 -2.9901 -1.3339 -1.9848 -1.8711 -1.0626 -1.1739 -0.2517 -0.7553 1876 0.8503 0.3004 0.4440 -0.0786 -0.7744 -0.7376 -0.8759 -0.1825 0.6424 0.3900 0.8365 2.2117 1.0550 -0.9948 0.2498 -0.5661 0.2452 0.6083 0.1784 0.6353 -0.9947 -0.8519 -1.5873 -1.3230 -1.4041 -1.0054 1877 1.1447 0.6608 -0.6421 -0.7331 -1.8972 -2.0183 -4.9234 -0.1197 0.0680 0.1161 -1.0365 -2.8282 -2.4968 -3.7118 -2.7096 0.0745 0.4653 0.8875 -1.8486 -1.3262 -3.8724 -3.5182 -3.9034 -3.6180 1.1951 1.2453 1878 -1.6218 -1.1552 -1.3689 -0.5269 0.6011 0.5728 2.3054 -0.2018 -1.0928 0.2780 1.4379 2.2958 1.5361 0.3395 1.4967 -0.1206 0.2205 1.5899 2.1403 1.2355 -1.1072 -0.8800 0.3006 0.5196 0.5514 1.1192 1879 2.8246 2.2249 0.9678 1.1421 0.9031 0.8886 -1.1354 2.7552 2.6208 1.8941 0.3464 -1.4394 -0.5330 -0.2976 -2.9546 2.5430 2.4568 1.8287 -0.1984 -1.9909 -3.8302 -3.5857 -3.3250 -3.1632 2.2528 1.5184 1880 1.5286 0.8914 0.4733 0.3287 -0.5612 -0.4517 -1.1622 -0.0309 0.1044 -0.3889 -0.2845 -0.9920 -0.7561 -0.8605 -1.1590 -0.1164 -0.3539 -0.3975 -0.3696 -0.8323 -0.6494 -0.5002 -1.1580 -1.2617 -0.4967 -0.7518 1881 1.6091 0.9246 -0.0369 -0.0454 -1.1870 -1.0981 -1.5913 0.5086 0.6908 0.3822 0.7106 1.1679 0.2323 -1.4102 -2.6999 0.1796 0.5794 0.3058 0.1997 0.8062 -2.2171 -1.8876 -2.3776 -2.2906 0.4802 -0.0874 1882 1.9349 1.1936 -0.1728 0.0694 -0.2454 -0.0139 -2.0097 -0.0479 0.3600 -0.4149 -0.0948 0.4720 0.2612 -0.8899 -1.7250 0.0054 -0.1652 0.2765 0.2734 0.4582 -1.5779 -1.4978 -2.8847 -2.4495 1.0978 1.0790 1883 1.5401 0.9853 -0.2340 -0.8305 -0.9158 -0.8759 -2.4049 -0.4474 0.0998 -0.4123 -1.1466 -0.4575 -0.7426 -1.7125 -2.0208 -0.1044 -0.4377 0.0260 0.0612 0.8644 -1.6466 -1.7663 -3.9887 -3.3814 1.2246 1.2983 1884 -0.2706 0.2937 0.1252 0.7256 2.4121 2.6353 2.7206 1.4734 0.4683 0.7455 2.2384 2.5786 2.5932 2.5314 1.2655 1.4488 0.7199 0.9486 1.7386 2.9996 2.1780 1.9786 0.6550 0.7369 -0.9274 -0.4836 1885 0.3244 0.8273 0.1114 0.6450 0.9238 1.0953 -0.6443 1.0813 0.7206 2.1108 2.3248 1.3297 1.1829 0.1202 -0.8448 1.4155 1.4631 2.5042 2.3551 3.2279 0.9219 0.8621 0.3670 0.1719 2.0099 1.8785 1886 -1.2740 -0.2425 -0.6443 0.3029 1.3357 1.4400 1.5219 -0.1827 0.0451 -0.2561 0.5233 1.2174 1.2819 1.3395 1.2068 -0.6132 -0.4420 0.0155 0.5535 -1.0146 0.5194 0.6560 2.1436 1.8795 -0.2795 -0.0878 1887 0.4952 1.3844 1.2685 1.5249 1.0524 0.7679 -2.0328 0.8967 1.5395 1.0049 0.2292 -0.1219 0.1830 -1.2596 -0.6472 0.8844 1.1384 0.7366 0.0756 -2.0861 0.4240 0.5264 0.2962 0.1746 0.2493 0.6774 1888 0.1447 0.4468 -0.1237 0.4849 0.9534 1.0350 -0.2408 -0.8052 -0.0321 -0.6152 0.3087 -1.3204 -0.3732 -0.0524 0.3963 -0.3897 -0.1596 -0.1788 -0.3815 -2.6855 0.8453 1.0361 1.8633 1.6215 1.0902 1.4068 1889 -0.7194 0.2218 -0.5191 -0.7971 0.0517 -0.0221 0.1708 -0.7061 -0.0372 -2.4317 -2.5331 -1.6259 -1.0129 -1.0778 -0.4862 -0.8641 -1.4913 -2.0869 -2.8758 -2.6485 0.1855 0.3076 1.1753 1.0744 -2.2061 -2.3030 1890 -0.7710 -0.3261 0.1986 -0.0858 1.3954 1.6306 2.1001 -0.5591 -0.3201 -0.6649 -0.2334 0.9477 1.0672 1.2017 3.4427 -0.7716 -0.8629 -0.6679 0.0670 1.1581 3.5046 3.2759 3.2634 3.2037 -3.5208 -2.8557 1891 -1.4355 0.3042 1.2469 2.1639 3.0432 3.1145 2.8389 1.7579 1.4828 2.2895 3.7492 3.4708 3.3004 3.2377 4.9122 1.3427 1.8847 2.3076 3.1096 3.4368 3.7020 3.4139 4.1532 4.2264 -0.1370 0.2385 1892 -1.2131 -0.0002 -0.0146 -0.2713 0.3490 0.4487 0.9165 -0.3235 -0.3625 -0.2050 0.1055 -0.8611 -0.4200 0.3634 0.8415 -0.1159 -0.2251 0.0823 0.9475 0.5286 1.9496 1.7321 1.5758 1.5216 -0.4192 -0.2151 1893 -0.2443 -0.1082 -0.0938 -0.7436 -0.0721 -0.0217 1.1020 -1.1257 0.0820 -0.9438 -0.6354 1.1865 0.5106 0.2810 1.9678 -1.7712 -1.3681 -0.6897 -0.4962 -0.2365 2.3187 1.8658 1.5915 1.7514 -0.6412 -0.8184 1894 0.8009 1.1896 1.1175 2.1443 1.7036 1.5373 -0.3465 2.1473 2.3449 2.6112 3.0855 2.1204 1.7198 0.5100 -0.2040 1.4260 2.0685 1.9081 2.1586 0.9831 1.1080 0.9394 -0.1239 0.1291 0.6123 0.5899 1895 -0.3030 -0.6410 -1.3760 0.4880 2.2620 2.4100 1.5100 0.3360 1.1350 -0.3310 0.4430 3.1460 2.8370 2.2770 0.5730 -1.0480 -0.4100 -1.3190 1.5990 -0.5300 3.1500 3.2750 3.0330 2.9990 -2.4370 -1.6320 1896 2.0570 2.2330 2.0660 0.6880 1.7130 1.7970 1.1570 2.7890 2.5940 2.0560 2.4330 4.6100 3.4300 0.5800 0.1070 1.8400 1.1090 0.4370 2.7700 3.8930 1.9170 1.4450 -1.6370 -1.3270 -0.3630 -0.1890 1897 2.1070 1.1930 0.0690 -0.9610 -1.9750 -2.1070 -1.9030 -1.0030 0.9340 -1.0670 -0.4910 2.5850 0.6170 -1.9830 -1.0930 -1.2440 -0.2840 -1.1080 -0.5400 2.8600 -0.2770 -0.3100 -1.3600 -1.3810 -0.8000 -0.9110 1898 0.2700 0.8620 -1.1350 -2.2460 -3.5100 -3.3800 -6.9570 -0.0350 0.0190 -0.8280 -2.7620 -2.1340 -2.6570 -5.0300 -4.4270 -0.6250 -0.6180 -1.0430 -1.5740 3.2170 -1.0770 -1.1500 -3.2620 -3.2690 2.9300 2.5480 1899 2.3700 2.5690 0.9910 0.4440 0.1200 -0.2300 -5.3270 1.6540 2.0480 0.5630 -0.3650 1.4610 0.7510 -3.1470 -4.3400 1.2010 0.7840 -0.0950 0.6690 3.1000 0.9300 0.3670 -3.5240 -3.7420 1.2270 1.4270 1900 2.6400 2.2940 0.8280 -0.8080 0.5940 0.5730 0.5670 1.5090 0.7530 -0.4580 -1.2410 -0.5690 -0.0900 1.0770 -4.7600 0.5250 -0.4270 -1.0920 -1.6810 1.1670 -0.6530 -1.2460 -4.4840 -4.5920 -0.5030 -1.1720 1901 1.2830 1.2680 -0.4810 -1.6010 -0.3210 -0.2870 0.3370 1.0400 0.7310 -1.1110 -1.7940 2.0150 1.0490 1.7230 0.6970 -0.0840 -0.9390 -1.3770 -2.2540 2.3570 2.7530 2.5180 0.6870 0.0930 1.0970 -0.4110 1902 1.2500 1.3130 -0.3620 -0.9530 -0.0390 -0.0800 0.8130 1.0630 0.4820 -0.8930 -1.9960 1.3330 0.7400 1.0300 -2.9470 1.3900 0.9850 0.1170 -2.3060 1.9930 -0.7670 -1.2130 -3.2220 -3.2640 1.7830 -0.0860 1903 0.6330 0.3760 -1.1400 -2.1800 -1.5700 -1.5930 -0.6870 1.4510 1.1260 -1.0210 -0.6850 1.0890 -0.0360 -1.1400 -0.8870 0.8600 0.5270 -0.0390 0.4400 1.8000 -0.4330 -0.9230 -2.7900 -2.4170 1.9430 1.4670 1904 -0.6830 -0.8490 -0.9990 -1.5900 -1.4140 -1.4100 1.0530 -1.4120 0.0730 -1.5570 -0.2170 2.5630 0.8960 1.1930 -2.3000 -1.7910 -1.7620 -1.4230 0.9990 3.1970 1.1200 0.6100 -2.2970 -2.2180 -1.7630 -1.4380 1905 -2.0430 -0.1400 -1.5970 -1.8230 0.6880 0.6870 0.9530 -0.5990 -2.1460 -3.8650 -1.6460 -3.2640 -1.6060 0.8830 4.7970 -0.4240 -3.8840 -1.1330 -1.3660 -0.5500 3.4200 4.1500 5.0370 5.3830 -5.6130 -4.8250 1906 -3.3870 -1.0410 0.4890 1.4450 4.7340 5.0770 5.6900 0.9690 -0.6930 0.9480 3.1570 5.4670 5.3030 5.7930 6.0870 0.7270 0.5440 0.6650 3.6510 4.0230 5.9530 5.6990 5.0340 5.0360 1.6130 1.8100 1907 -0.2770 -0.6710 -0.2280 1.8590 3.8410 3.9800 0.2530 0.7000 0.6930 0.4690 2.6700 5.7220 4.9910 0.3530 3.0800 0.6490 0.5330 1.8930 3.3100 5.6930 6.4230 5.2600 3.5930 3.7220 4.2330 4.5520 1908 0.5900 -0.5610 -0.9180 -1.7610 0.5230 0.5730 0.4070 -0.2780 -1.3410 0.0690 0.2540 -0.8120 -0.2310 0.7800 0.5530 0.8910 0.3160 1.3820 0.9800 2.2670 -0.6070 -0.8500 -1.6520 -1.0750 3.1800 4.0580 1909 -1.5570 -1.1950 -1.7250 -1.5230 -1.8340 -1.8070 1.7470 -0.4370 -0.8830 -0.7160 1.0310 -0.8660 -1.2610 -1.4300 1.5000 -0.0060 0.2330 0.7040 0.2510 -1.4170 -0.8570 -0.7910 2.8960 2.6710 2.2730 3.5680 1910 -1.7800 -1.8230 -1.5540 -2.1450 -2.1600 -2.3370 -1.6730 -2.3550 -1.6180 -2.4810 -2.3010 -2.1980 -2.2560 -2.4900 -1.8770 -2.0830 -1.6960 -2.2880 -2.3110 -2.8070 -1.9200 -1.8160 -1.1690 -1.4470 -1.6300 -0.1540 1911 -2.4970 -2.6680 -0.8280 -0.1880 1.4950 1.4600 3.1970 0.5670 -0.8650 -0.0160 2.0860 1.9650 1.7530 1.9900 2.8200 1.1940 1.3920 1.1200 1.8270 0.8830 1.8200 1.7870 2.8110 2.4740 2.4330 2.7880 1912 -0.1330 0.3160 1.1990 2.3040 2.3240 2.3430 2.9200 1.8260 1.4470 2.6510 3.9590 -1.0350 0.3820 2.5300 2.8930 1.4470 2.2430 2.7500 3.6140 0.7830 0.9330 0.5990 -0.5920 0.3910 2.3130 3.3690 1913 0.6400 0.5270 0.8430 1.8780 0.9280 1.2100 0.6870 2.0250 0.8090 3.0170 4.5250 1.3550 1.2940 0.8170 -1.4170 1.8370 2.4750 3.5270 4.5560 2.7930 1.3700 1.0850 -0.0320 -0.3270 3.6270 4.7650 1914 -2.0170 -1.4210 -1.4060 1.3060 2.3800 2.5870 3.2870 -1.1420 -1.2460 0.4420 2.7490 2.1640 2.3410 3.0200 2.4370 -1.1750 -0.5890 0.8110 3.0940 3.8670 2.7070 2.1770 3.5700 3.0920 1.3730 2.6100 1915 -2.9830 -1.4680 -1.9970 -0.2860 4.2570 4.3970 6.2730 -0.0020 -1.8540 -1.6040 -0.5850 -1.6440 0.8900 4.8270 5.4800 1.8720 1.5890 1.1670 0.1990 -3.2430 -0.1770 -0.0890 4.9920 5.6430 2.3000 3.0880 1916 1.3530 1.7840 2.1640 2.4970 2.8380 2.6030 3.1530 2.4340 2.9150 2.6600 3.2620 1.5430 1.9880 -0.1730 3.4470 2.7980 3.1800 2.9190 2.9040 -2.6770 -0.7670 0.0300 4.8430 4.8390 3.9470 4.8330 1917 -0.2000 -0.3810 -0.8310 -0.6390 -0.6910 -0.6500 -0.0970 0.0480 0.1500 0.0830 0.7120 -0.1360 -0.3520 0.4270 3.7070 -0.1820 -0.2210 -0.5800 2.9890 1.5170 2.1370 1.9820 2.1980 2.6000 -0.6330 -0.6690 1918 -1.2900 -1.4940 -2.8060 -3.0480 -2.2110 -2.1100 0.2670 -2.3650 -1.8870 -2.2590 -2.7270 -2.3370 -2.2420 -0.7800 0.8870 -2.1070 -1.4380 -1.1930 -1.5520 -2.3870 -1.2370 -1.2710 -0.7300 -0.1680 -0.8630 -0.6180 1919 -1.6030 -1.4110 -1.9630 -2.3730 -1.7930 -2.0900 -0.7730 -2.6990 -1.9990 -3.1890 -3.2440 -2.9450 -2.5860 -1.4470 1.4230 -2.4080 -2.1210 -2.5830 -3.4640 -4.0630 -1.4630 -1.1320 -0.5020 0.0010 -3.1870 -4.0500 1920 0.7230 0.5200 -0.2210 -0.2570 0.2830 0.2800 1.0400 -0.4150 -0.6900 0.0970 -1.8750 -0.5590 -0.2070 0.8670 1.8830 0.4230 0.2540 0.3110 -0.0410 0.6930 0.3830 0.1450 -0.2630 0.1730 0.6700 0.8810 1921 -0.9600 -0.1680 -0.5110 -0.1810 2.1000 2.0870 2.7430 0.7680 1.1430 -0.1970 0.7150 -0.4220 0.6300 1.5530 1.0130 -0.4140 0.1610 -0.6840 0.4700 -0.7830 -1.6670 -1.6930 -1.0540 -0.2380 1.3730 1.3800 1922 -1.7770 -2.6050 -1.9950 -0.9040 -0.2550 -0.1900 2.2100 -1.4130 -1.5690 -1.1320 -0.0250 1.4080 0.7380 1.6230 2.2900 -1.2830 -1.1150 -0.9540 0.1080 0.8570 3.2330 2.9850 3.5360 2.9600 -0.1830 0.4140 1923 -2.0100 -2.1050 -1.6490 0.2440 0.0320 0.9100 1.3670 -1.4190 -1.4720 1.0160 0.8520 0.8090 0.8510 1.4200 1.0970 -0.2510 1.4470 1.9720 1.7860 1.6430 -0.4100 -0.5960 -0.7610 -0.1610 2.4770 2.5100 1924 -4.1770 -4.2280 -4.8660 -4.3290 -4.3800 -4.2100 -5.7870 -5.8550 -5.5520 -4.8490 -6.1570 -5.2420 -4.8090 -5.7570 -3.4600 -4.4690 -4.4100 -3.6060 -5.0030 -5.5230 -3.2530 -3.0150 -2.8300 -2.7760 -1.6930 -1.5330 1925 -3.2170 -3.1240 -2.3010 0.0310 1.5020 1.7530 2.4930 -2.9270 -2.9000 -0.9790 1.6810 -1.7120 -0.2580 2.1230 -1.9370 -2.0960 -1.7890 -0.3010 0.7920 -2.5900 0.7730 0.7340 -1.9760 -1.9950 -0.4170 -0.0730 1926 -3.4970 -2.7070 -2.6870 -3.8870 -0.9550 -1.2930 1.5100 -3.4020 -3.3740 -3.6980 -4.9740 -4.9890 -3.4390 -1.8170 2.0500 -3.0800 -3.1660 -1.8950 -3.4520 -5.4900 -3.3270 -2.8550 -2.2560 -1.3130 -2.0630 -1.7130 1927 0.5700 0.3000 0.1860 1.3170 1.6520 1.3330 2.5600 1.9970 1.9930 1.9720 2.3280 -2.4140 -0.8420 1.4600 1.7430 2.0280 2.1800 1.9580 1.5950 -4.0070 -3.8970 -3.4820 -0.5420 0.2370 1.9900 2.0340 1928 -0.9030 -1.1480 -1.7140 -1.7020 -0.8890 -0.8170 -0.4500 -1.3610 -1.2140 -1.7430 -2.0400 -3.7450 -2.5160 -1.1000 -3.3000 -1.4180 -1.3990 -1.6920 -2.1380 -4.9070 -5.0830 -4.7610 -3.2410 -3.0640 -1.1400 0.6830 1929 -1.1330 -1.4110 -2.3050 -1.8410 0.0200 0.7700 1.0830 -2.8870 -2.4770 -2.7140 -2.5670 -2.8980 -1.3600 0.8270 -2.5200 -2.5910 -2.7140 -2.5480 -2.3950 -4.1700 -3.8800 -3.7090 -2.8230 -2.6000 -3.3770 -2.5690 1930 -2.6200 -1.9460 -2.2700 -2.3840 -0.1530 0.5870 1.1470 -3.5520 -2.7880 -3.2770 -3.0660 -2.7290 -1.3380 1.4270 2.1100 -2.9150 -2.5630 -2.7400 -3.1920 -3.5500 -2.5430 -1.9010 0.2690 0.6720 -2.8530 -3.2240 1931 0.6800 0.7320 0.0690 -2.0570 -2.6650 -2.2530 -3.8630 -4.5850 -1.8950 -2.5440 -5.1010 -3.6630 -3.0710 -2.8100 0.5000 -4.0010 -3.5420 -4.1860 -5.0110 -6.9500 -1.8370 -0.9420 1.1870 1.2440 -6.3870 -6.1390 1932 0.1700 0.5600 -0.7720 0.5670 -0.4300 0.8600 -2.1470 -0.9180 0.2000 -1.5040 -1.5110 0.8570 0.8580 -0.4200 -0.9770 -1.0820 -1.2880 0.1340 -1.4290 1.5670 0.5600 1.3200 4.8900 3.4370 0.5400 -0.4790 1933 1.6870 1.3440 1.8440 1.2710 -1.2350 -1.2570 -1.7670 -1.3950 0.4560 -0.2670 -3.1800 -2.6630 -2.0730 0.7170 0.8070 -2.3900 -0.7530 -1.0850 -4.0170 -2.4630 -2.2470 -1.8510 1.3400 1.3970 -0.6300 -1.1620 1934 -2.4570 -1.7200 -2.4110 -2.6190 -2.6160 -2.4330 -3.8970 -4.4910 -3.6340 -4.3700 -7.2650 -5.0850 -3.9730 -3.8330 -2.1970 -3.9850 -2.3450 -4.2590 -7.9860 -8.3830 -5.2770 -5.0080 -2.9310 -2.6650 -2.8370 -4.3130 1935 -2.0600 -1.0340 -2.0410 -1.8250 -1.4460 -1.0130 1.3470 -1.4800 -2.0690 -3.5050 -0.8710 -0.5600 -0.7500 -0.2270 2.7530 -1.4240 -2.1240 -3.6190 -3.7220 -3.5030 -2.3470 -2.0330 1.7970 2.5470 -2.3800 -3.3770 1936 0.9770 1.4450 -0.6810 -0.0220 -0.0080 0.5300 -0.6270 -2.4430 -0.4900 -2.6860 0.9850 0.4190 0.4650 -0.3900 -0.0470 -3.5970 -3.5780 -2.7850 -0.8690 -3.4430 -3.4600 -2.7290 -0.5420 -0.4840 -4.5200 -4.2480 1937 1.4370 2.7100 3.2500 2.7110 0.6120 -0.0900 -0.3900 1.5270 2.6520 -1.0910 0.6240 -0.3530 -0.2430 -0.7000 2.0730 0.9840 -0.2270 -3.0470 -3.3840 -2.2630 -0.9700 -0.4310 4.0400 3.4850 -5.3370 -4.5700 1938 -1.9900 -1.7930 -1.7850 -1.3740 -0.9440 -0.8230 0.1130 -2.4910 -0.4700 -0.9060 0.4570 5.3530 2.7620 0.0570 3.2000 -2.6640 -1.5460 0.2880 0.7440 0.7270 0.7870 1.0390 5.8580 4.8480 -2.0130 -0.3720 1939 -1.0800 -2.0760 -2.7540 -2.6410 -2.8820 -2.8070 -3.0000 -4.8650 -3.6640 -3.9360 -4.0610 -3.1910 -3.0300 -1.8770 0.7900 -4.4130 -3.5800 -2.9410 -4.3890 -2.7170 -0.2230 0.0760 2.6380 1.9520 -3.0370 -2.2540 1940 -2.5070 -1.4860 -2.1410 -2.4230 -1.0200 -1.2930 -0.6430 -2.6350 -0.6500 -2.9810 -1.5860 0.6140 -0.1860 -1.5070 1.3170 -3.8490 -3.0060 -2.9570 -2.8010 -3.9670 -2.9800 -2.8270 -1.7590 -1.1910 -5.4400 -4.5380 1941 -4.5570 0.8840 1.0590 2.3840 3.0930 2.8970 3.9300 3.5670 2.6050 3.6150 2.2610 1.6260 2.1590 2.2900 5.8970 1.8220 2.9000 2.9230 2.5330 2.7300 5.8470 6.2560 7.7170 7.5700 -5.8200 -4.4020 1942 -1.5100 0.6660 1.0730 1.7320 2.5380 2.1230 3.5970 3.7800 1.8140 5.0090 3.1440 2.5750 2.3860 2.8270 -0.5670 2.3420 2.9700 3.1630 2.4070 4.0330 -1.9670 -2.1000 -1.4440 -1.0310 2.1730 1.5110 1943 -1.6070 0.5190 2.3830 0.9160 -0.1680 -0.1400 -0.1670 0.9230 2.1230 5.5560 3.4660 3.1370 1.7620 0.2400 1.2630 -0.0900 2.3230 2.9750 1.9680 2.4000 -3.2300 -3.0250 2.1050 1.7910 1.8170 1.2490 1944 -6.5970 -2.4140 -2.0000 0.0580 0.9610 0.7000 0.8070 -2.6570 -2.7880 -1.7110 -2.1540 2.3380 1.6510 1.1230 2.1330 -2.5160 -3.0990 -1.4050 -0.4450 1.3500 -1.5870 -1.2560 4.3310 3.9030 -3.6870 -2.6100 1945 -5.7100 -0.4700 0.0890 -0.1650 0.4850 0.4030 -0.2800 1.5350 0.7740 1.8280 1.8650 3.9850 2.4820 1.6130 1.7530 1.2440 0.8540 1.7280 3.4590 5.8130 2.8370 2.1760 3.0400 2.6940 -3.8300 -3.0690 1946 1.5230 0.7410 0.8180 -1.0150 -2.4840 -2.5900 -1.0300 0.7050 0.7340 2.5370 0.4880 -0.9270 -1.6240 -0.9000 0.9100 1.4920 1.2090 1.4010 -0.1350 3.5070 -1.1900 -1.0770 0.7170 0.7330 -2.7300 -2.7400 1947 -1.8300 0.5520 2.1220 1.8750 0.3910 0.0970 -2.2700 -1.0080 -1.8460 2.2060 -2.7240 -3.7460 -2.1340 -1.9830 -2.0270 1.0520 -0.0820 1.4990 -0.0360 -0.4770 -1.8070 -2.1100 -2.2140 -2.0520 1.7270 1.5090 1948 4.4930 3.4300 2.8630 3.2760 3.0510 3.4130 -1.2970 7.7020 6.7920 6.1560 2.7700 -2.3690 0.0570 2.6100 -2.7300 6.4170 6.5510 3.7670 -0.9510 -0.2300 -1.4600 -1.7630 -2.5630 -2.6070 4.9070 3.7440 1949 1.8130 -0.2790 -0.9880 -1.4680 -1.3840 -1.3100 -1.3300 -2.2350 -0.6350 -0.1010 -2.4060 -2.6970 -2.1150 -1.3030 -1.0530 -2.3530 -2.3420 -2.1010 -3.1850 -0.2600 0.2300 0.4790 -0.6850 -0.8930 -1.7000 -1.7940 1950 2.3270 2.1620 1.2560 0.9290 0.4630 0.3730 0.2900 1.0730 2.7070 1.5910 -0.6970 -3.3090 -1.7640 -0.4230 -1.3500 0.3440 1.9720 1.4260 -0.0290 -1.4570 -3.8770 -3.7040 -3.8570 -3.1400 1.7000 -0.2710 1951 -1.7600 -0.5110 -1.7420 -0.3190 -0.6970 -0.6730 0.2230 2.2440 3.5080 0.8490 -0.7980 -1.0620 -0.8990 -0.5470 -3.3200 1.0650 0.3580 0.6660 0.7410 -0.4830 -3.7830 -3.7260 -3.2310 -2.8410 3.1970 1.4070 1952 -1.0300 -1.7980 -0.2550 1.2090 1.0310 1.1430 2.1900 0.3750 -0.6310 1.2040 1.8290 3.4860 2.5030 0.1430 3.0170 -1.1980 -0.3780 0.2530 1.9160 1.9170 2.3830 2.1810 2.5630 2.3000 -0.7670 0.0520 1953 0.5470 1.8900 2.9280 3.8000 2.6940 2.2600 1.2730 2.4440 2.1170 3.2990 2.7930 -0.8730 0.4410 1.9600 -1.5200 1.7430 1.2220 1.4350 1.6410 -2.4070 -3.5600 -3.3690 -2.6520 -2.3370 -0.8730 -0.6240 1954 1.4300 2.4470 2.7260 1.6790 0.5660 -0.3370 -0.7970 1.0090 1.0450 1.6990 0.8590 -4.2930 -2.6340 -1.0600 -0.8170 1.6960 1.7510 1.4910 -3.8270 -4.4430 -3.9330 -3.6910 -2.5160 -2.1740 1.5900 -0.4540 1955 3.1800 1.8880 1.3740 -0.8270 -1.6520 -1.5200 0.7400 1.4380 0.2030 -1.6990 -2.5680 -4.2110 -3.0820 1.0200 -0.9470 1.8520 0.7530 0.7320 -0.6030 -3.0530 -0.0900 0.0800 -1.6170 -1.3790 1.4330 -0.3790 1956 1.5230 -0.3120 0.8950 3.7770 -0.1260 0.6330 0.3300 0.6750 1.6280 1.7190 4.1820 2.9180 1.9590 2.0700 0.6630 -0.4950 2.1270 2.4560 2.2790 1.7400 -2.1770 -2.4550 -2.9750 -2.1750 2.5700 0.8190 1957 -1.0670 -0.2020 0.3140 0.6630 1.3240 1.2770 1.8070 1.3460 0.5300 2.0170 3.5250 -2.1300 -0.7010 1.8270 0.7400 1.0490 0.9470 0.6280 4.0700 1.6100 -3.0930 -2.7700 -2.1630 -1.4040 -0.2300 -0.8410 1958 -5.2130 -1.8510 -0.7960 2.6410 3.7850 3.7870 5.0670 -0.4220 -0.8300 2.2360 5.1030 2.3570 2.9570 3.5230 3.7400 -0.9890 -0.7540 1.4850 3.5630 -0.7600 -0.4300 -0.5360 2.7700 3.1920 0.6600 -0.4950 1959 1.9230 1.0630 0.6660 -1.6260 -2.7960 -2.6870 -3.4330 1.6950 0.8220 0.3790 -3.5410 -4.1180 -3.5180 -3.8970 -3.9770 1.4750 1.3900 0.1120 -2.5230 -3.9300 -4.7630 -4.2650 -2.9110 -2.9020 1.9000 0.5590 1960 -0.4170 1.4600 -0.5890 -0.4790 -0.7240 -1.1700 -1.9330 1.0290 -0.2560 -1.2660 -2.7490 -3.6560 -2.6130 -2.9070 -3.3900 1.4870 -0.0800 -0.5880 -2.3860 -4.5000 -5.1700 -4.3180 -2.4550 -2.5320 -1.0400 -1.6930 1961 -0.0730 -0.1190 -0.7600 1.1790 -0.3630 -1.3500 -3.1800 2.0110 1.0160 -0.6190 -2.3080 -1.5790 -1.4830 -3.4700 -6.1730 1.8550 -0.7250 -1.2070 -3.8010 -2.7000 -1.8800 -1.8540 -2.4410 -3.2640 -1.4130 -3.3390 1962 0.1570 0.8200 0.4930 -0.3650 -0.8640 -1.1700 -0.9430 0.3940 0.4390 0.3000 -0.6820 2.1560 0.7610 -1.7870 -1.1570 0.3120 -0.0060 0.2030 -1.5830 0.9130 1.1070 0.1650 -0.4540 -0.3460 1.0000 1.2090 1963 0.7630 0.6290 2.3870 2.5320 2.1100 2.1530 2.8170 -0.3290 -0.3900 0.2770 2.4820 3.1630 2.7390 2.1200 -1.4370 0.6140 -0.2500 1.0810 1.1120 3.1830 -2.1300 -2.5340 -2.0990 -1.6620 0.1130 0.3970 1964 3.9170 1.5360 0.9290 0.1470 -0.2570 0.8900 -2.4200 0.0670 -0.8150 -0.1950 1.5660 0.3350 0.5680 0.0800 -2.9930 1.2330 1.6360 2.3530 2.2990 2.4030 -1.2500 -1.6580 -2.6480 -2.4760 2.2830 2.0740 1965 -0.7170 -1.2970 -1.9310 -0.3760 0.4160 0.3330 1.0170 0.6180 0.6130 2.2250 4.1800 4.3110 2.6420 0.9730 1.6530 0.6890 1.5810 3.3510 4.2460 4.5500 2.2170 2.2020 -0.1170 -0.1930 3.7330 3.2750 1966 1.5600 -0.4850 -1.8440 -1.3360 -2.4520 -2.9130 -2.6000 -1.7100 -1.5840 -3.5390 -3.7640 -3.1070 -3.0260 -3.2500 -2.0930 -1.4280 -3.0960 -2.7710 -4.8640 -3.0400 -1.5330 -1.2930 1.7350 1.3470 1.7330 -0.1340 1967 -0.5800 -1.7070 -1.7790 -0.7720 1.3640 1.6800 3.0470 -0.2780 -0.9850 -1.3370 1.0650 3.2470 2.5900 2.0330 2.4570 -0.8540 -0.9650 -0.3330 0.6100 3.3070 5.1470 4.0980 3.0540 2.7120 -0.6070 0.4600 1968 1.6630 1.5390 1.5110 -1.1410 -1.0110 -1.1170 -2.0470 -0.5500 -1.2420 -1.3320 -3.2590 -3.2190 -2.3370 -2.6530 -2.1070 0.4250 -0.9770 0.0200 -2.6050 -0.6200 -0.9230 -0.9460 -1.3640 -1.4240 -0.0270 1.1600 1969 -0.8770 -0.9220 1.9720 0.5110 -1.1670 -1.2070 -0.1900 -0.4850 -0.6950 2.2290 3.0450 4.2020 1.9330 0.3230 2.0030 -0.3730 -0.9850 -0.0560 0.3210 2.3300 3.1430 3.3960 3.8010 2.6320 -0.0800 1.5770 1970 -0.6970 -2.1040 -1.3400 -1.1910 -1.9550 -2.1000 -1.3330 -0.8780 -1.2650 1.2760 2.3380 2.0720 0.3220 -1.1670 -3.1470 -0.5400 -0.2460 1.9680 2.4610 2.1430 -1.9870 -2.0200 -2.5330 -2.4200 1.1030 2.1060 1971 2.3630 1.2030 2.4450 1.8870 1.0510 1.0630 -0.9070 2.1200 0.9010 2.9680 3.1110 3.4400 2.4430 1.2700 0.2000 2.4750 2.6020 3.1300 3.0480 4.7270 -1.8130 -1.9800 -2.3080 -1.6070 2.0530 2.3850 1972 3.8370 3.0620 -0.7550 -0.5850 -1.3270 -1.9530 -4.4630 2.1440 2.8760 0.6890 -0.8270 -2.6030 -2.3300 -3.5870 -4.0430 2.3020 1.3080 -0.5480 -0.9260 -2.4830 -3.0370 -2.7900 -2.6270 -2.9410 -0.7370 -0.7110 1973 -2.2270 -1.6530 -0.6410 -3.1780 -2.2900 -2.4500 1.1430 -3.5310 -3.7720 -3.4470 -3.7050 -0.4370 -1.2820 -1.7570 -0.4130 -3.1910 -3.7760 -3.2650 -1.7480 1.7630 2.9800 2.6510 0.4740 -0.0170 -4.0930 -3.0830 1974 1.4730 2.8210 2.8060 -1.0170 0.6620 1.5500 2.4370 1.2640 3.8780 -0.7160 -0.7550 -0.8220 0.1730 0.3970 -0.5630 -0.7050 -0.5450 -1.2050 -1.3500 -2.9670 -2.1870 -2.2220 -1.9400 -1.6350 -1.0100 -1.3700 1975 1.6170 0.3740 0.4620 -0.6560 0.3200 1.0130 1.5830 2.4900 1.9060 1.4490 1.6460 2.5030 1.8780 1.0100 2.1130 1.9430 1.9110 1.6430 2.4460 2.9170 2.5770 1.8580 -2.1540 -1.5440 1.9270 2.6240 1976 2.8870 1.4560 -0.1080 -0.3160 -2.5520 -2.8400 -5.7600 0.2030 -0.5640 1.0460 0.0830 -0.9890 -1.7660 -4.8230 -1.7100 1.7630 2.6730 1.2320 1.4840 -0.1830 2.0100 1.8260 -1.7240 -1.8770 2.7170 3.5970 1977 -2.9900 -0.6450 0.3870 0.3760 -2.0760 -3.4970 -6.4200 -6.4410 -3.9630 -5.1300 -5.5670 -3.3250 -3.3970 -6.4500 0.0970 -4.8730 -4.0830 -1.2710 -4.7770 -3.5470 1.3500 0.7650 -0.7970 -0.4650 -3.2330 -2.0190 1978 0.0570 0.2640 1.3880 1.1120 1.5340 1.6730 2.8830 2.1180 1.9230 1.4550 3.0500 1.0590 1.3160 2.8170 4.3330 1.7500 1.9790 0.8310 1.2820 -0.4700 5.6430 5.8980 5.9030 4.9790 1.7300 1.3940 2b. 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