TP-optimisation-numerique-2/julia/scr-julia/.ipynb_checkpoints/ode-exemple-sol-checkpoint.ipynb
2020-11-09 20:04:03 +01:00

7955 lines
1.2 MiB

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Intégration numérique avec Julia, une introduction"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Introduction\n",
"Il nous faut tout d'abord importer les bons packages de Julia"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# import Pkg; Pkg.add(\"DifferentialEquations\")\n",
"# Pkg.add(\"Plots\")\n",
"# import Pkg; Pkg.add(\"ODEInterfaceDiffEq\")\n",
"using DifferentialEquations\n",
"using Plots"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pendule simple\n",
"### Introduction\n",
"On s'intéresse ici au pendule simple. Les principes physiques de la mécanique classique donnent comme équation qui régit l'évolution du mouvement\n",
"$$ ml^2\\ddot{\\alpha}(t)+mlg\\sin(\\alpha(t)) + k\\dot{\\alpha}(t)=0,$$\n",
"où $\\ddot{\\alpha}(t)$ désigne la dérivée seconde de l'angle $\\alpha$ par rapport au temps $t$. \n",
"\n",
"On prend ici comme variable d'état qui décrit le système $x(t)=(x_1(t),x_2(t))=(\\alpha(t), \\dot{\\alpha}(t))$. Le système différentiel du premier ordre que l'on obtient s'écrit alors\n",
"$$\n",
"\\left\\{\\begin{array}{l}\n",
"\\dot{x}_1(t) = x_2(t)\\\\\n",
"\\dot{x}_2(t) = -\\frac{g}{l}\\sin(x_1(t))-kx_2(t)\\\\\n",
"x_1(0) = x_{0,1}=\\alpha_0\\\\\n",
"x_2(0) = x_{0,2}=\\dot{\\alpha}_0\n",
"\\end{array}\\right.\n",
"$$\n",
"### Cas où la fonction second membre renvoie xpoint"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"pendule (generic function with 1 method)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function pendule(x,p,t)\n",
"# second member of the IVP\n",
"# x : state\n",
"# real(2)\n",
"# p : parameter vector\n",
"# t : time, variable not use here\n",
"# real\n",
"# Output\n",
"# xpoint : vector of velocity\n",
"# same as x\n",
" g = p[1]; l = p[2]; k = p[3]\n",
" xpoint = similar(x)\n",
" xpoint[1] = x[2]\n",
" xpoint[2] = -(g/l)*sin(x[1]) - k*x[2]\n",
" return xpoint\n",
"end\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
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" 1302.55,620.197 1304.74,614.055 1306.94,607.925 1309.13,601.808 1311.32,595.704 1313.51,589.614 1315.71,583.539 1317.9,577.479 1320.09,571.435 1322.28,565.408 \n",
" 1324.48,559.397 1326.67,553.405 1328.86,547.431 1331.05,541.477 1333.25,535.542 1335.44,529.628 1337.63,523.735 1339.82,517.864 1342.02,512.016 1344.21,506.191 \n",
" 1346.4,500.389 1348.59,494.611 1350.79,488.857 1352.98,483.127 1355.17,477.422 1357.36,471.743 1359.56,466.09 1361.75,460.463 1363.94,454.863 1366.13,449.291 \n",
" 1368.33,443.747 1370.52,438.232 1372.71,432.745 1374.9,427.288 1377.1,421.862 1379.29,416.465 1381.48,411.1 1383.67,405.767 1385.87,400.465 1388.06,395.196 \n",
" 1390.25,389.959 1392.44,384.756 1394.64,379.587 1396.83,374.451 1399.02,369.351 1401.21,364.286 1403.41,359.256 1405.6,354.262 1407.79,349.304 1409.98,344.383 \n",
" 1412.18,339.499 1414.37,334.653 1416.56,329.845 1418.75,325.075 1420.95,320.344 1423.14,315.652 1425.33,310.999 1427.52,306.386 1429.72,301.814 1431.91,297.282 \n",
" 1434.1,292.791 1436.29,288.341 1438.49,283.932 1440.68,279.566 1442.87,275.242 1445.06,270.961 1447.26,266.722 1449.45,262.527 1451.64,258.375 1453.83,254.267 \n",
" 1456.03,250.203 1458.22,246.184 1460.41,242.21 1462.6,238.28 1464.8,234.396 1466.99,230.557 1469.18,226.765 1471.37,223.018 1473.57,219.318 1475.76,215.664 \n",
" 1477.95,212.057 1480.14,208.498 1482.34,204.985 1484.53,201.521 1486.72,198.104 1488.91,194.735 1491.11,191.415 1493.3,188.143 1495.49,184.919 1497.68,181.744 \n",
" 1499.88,178.618 1502.07,175.54 1504.26,172.512 1506.45,169.534 1508.65,166.605 1510.84,163.726 1513.03,160.897 1515.22,158.118 1517.42,155.389 1519.61,152.711 \n",
" 1521.8,150.084 1523.99,147.508 1526.19,144.983 1528.38,142.509 1530.57,140.086 1532.76,137.716 1534.96,135.396 1537.15,133.129 1539.34,130.914 1541.53,128.751 \n",
" 1543.73,126.64 1545.92,124.582 1548.11,122.576 1550.3,120.623 1552.5,118.723 1554.69,116.876 1556.88,115.082 1559.07,113.341 1561.27,111.653 1563.46,110.019 \n",
" 1565.65,108.438 1567.84,106.911 1570.04,105.437 1572.23,104.018 1574.42,102.652 1576.61,101.34 1578.81,100.082 1581,98.8784 1583.19,97.7288 1585.38,96.6335 \n",
" 1587.58,95.5924 1589.77,94.6057 1591.96,93.6734 1594.15,92.7956 1596.35,91.9723 1598.54,91.2036 1600.73,90.4895 1602.92,89.83 1605.12,89.2251 1607.31,88.675 \n",
" 1609.5,88.1796 1611.69,87.7389 1613.89,87.353 1616.08,87.0219 1618.27,86.7455 1620.46,86.524 1622.66,86.3572 1624.85,86.2453 1627.04,86.1881 1629.23,86.1857 \n",
" 1631.43,86.238 1633.62,86.3451 1635.81,86.507 1638,86.7235 1640.2,86.9947 1642.39,87.3206 1644.58,87.7011 1646.77,88.1361 1648.97,88.6257 1651.16,89.1697 \n",
" 1653.35,89.7681 1655.54,90.421 1657.74,91.1281 1659.93,91.8895 1662.12,92.7051 1664.31,93.5748 1666.51,94.4985 1668.7,95.4762 1670.89,96.5078 1673.08,97.5932 \n",
" 1675.28,98.7323 1677.47,99.925 1679.66,101.171 1681.85,102.471 1684.05,103.824 1686.24,105.23 1688.43,106.689 1690.62,108.201 1692.82,109.767 1695.01,111.385 \n",
" 1697.2,113.056 1699.39,114.781 1701.59,116.558 1703.78,118.389 1705.97,120.272 1708.16,122.208 1710.36,124.196 1712.55,126.237 1714.74,128.331 1716.93,130.477 \n",
" 1719.13,132.675 1721.32,134.925 1723.51,137.227 1725.7,139.581 1727.9,141.987 1730.09,144.444 1732.28,146.953 1734.47,149.513 1736.67,152.124 1738.86,154.786 \n",
" 1741.05,157.499 1743.24,160.263 1745.44,163.077 1747.63,165.941 1749.82,168.856 1752.01,171.821 1754.21,174.835 1756.4,177.899 1758.59,181.013 1760.78,184.176 \n",
" 1762.98,187.387 1765.17,190.648 1767.36,193.957 1769.55,197.314 1771.75,200.72 1773.94,204.173 1776.13,207.674 1778.32,211.223 1780.52,214.818 1782.71,218.461 \n",
" 1784.9,222.15 1787.09,225.886 1789.29,229.668 1791.48,233.495 1793.67,237.369 1795.86,241.287 1798.05,245.251 1800.25,249.26 1802.44,253.313 1804.63,257.41 \n",
" 1806.82,261.551 1809.02,265.735 1811.21,269.963 1813.4,274.234 1815.59,278.548 1817.79,282.903 1819.98,287.301 1822.17,291.741 1824.36,296.221 1826.56,300.743 \n",
" 1828.75,305.305 1830.94,309.908 1833.13,314.551 1835.33,319.233 1837.52,323.954 1839.71,328.714 1841.9,333.512 1844.1,338.349 1846.29,343.223 1848.48,348.134 \n",
" 1850.67,353.083 1852.87,358.068 1855.06,363.089 1857.25,368.145 1859.44,373.237 1861.64,378.364 1863.83,383.525 1866.02,388.72 1868.21,393.948 1870.41,399.21 \n",
" 1872.6,404.503 1874.79,409.829 1876.98,415.186 1879.18,420.574 1881.37,425.992 1883.56,431.441 1885.75,436.918 1887.95,442.425 1890.14,447.961 1892.33,453.524 \n",
" 1894.52,459.115 1896.72,464.732 1898.91,470.376 1901.1,476.046 1903.29,481.742 1905.49,487.462 1907.68,493.207 1909.87,498.975 1912.06,504.767 1914.26,510.582 \n",
" 1916.45,516.418 1918.64,522.277 1920.83,528.156 1923.03,534.056 1925.22,539.977 1927.41,545.916 1929.6,551.875 1931.8,557.852 1933.99,563.847 1936.18,569.859 \n",
" 1938.37,575.888 1940.57,581.933 1942.76,587.993 1944.95,594.068 1947.14,600.158 1949.34,606.262 1951.53,612.379 1953.72,618.509 1955.91,624.65 1958.11,630.803 \n",
" 1960.3,636.967 1962.49,643.142 1964.68,649.326 1966.88,655.519 1969.07,661.721 1971.26,667.93 1973.45,674.147 1975.65,680.37 1977.84,686.6 1980.03,692.835 \n",
" 1982.22,699.074 1984.42,705.318 1986.61,711.566 1988.8,717.816 1990.99,724.069 1993.19,730.323 1995.38,736.579 1997.57,742.834 1999.76,749.09 2001.96,755.344 \n",
" 2004.15,761.597 2006.34,767.848 2008.53,774.096 2010.73,780.34 2012.92,786.581 2015.11,792.816 2017.3,799.046 2019.5,805.269 2021.69,811.486 2023.88,817.695 \n",
" 2026.07,823.896 2028.27,830.089 2030.46,836.271 2032.65,842.443 2034.84,848.605 2037.04,854.755 2039.23,860.892 2041.42,867.016 2043.61,873.127 2045.81,879.223 \n",
" 2048,885.304 2050.19,891.369 2052.38,897.418 2054.58,903.449 2056.77,909.463 2058.96,915.457 2061.15,921.433 2063.35,927.388 2065.54,933.323 2067.73,939.239 \n",
" 2069.92,945.134 2072.12,951.008 2074.31,956.861 2076.5,962.692 2078.69,968.5 2080.89,974.285 2083.08,980.046 2085.27,985.783 2087.46,991.495 2089.66,997.182 \n",
" 2091.85,1002.84 2094.04,1008.48 2096.23,1014.08 2098.43,1019.66 2100.62,1025.22 2102.81,1030.74 2105,1036.23 2107.2,1041.7 2109.39,1047.13 2111.58,1052.54 \n",
" 2113.77,1057.91 2115.97,1063.26 2118.16,1068.57 2120.35,1073.85 2122.54,1079.09 2124.74,1084.3 2126.93,1089.48 2129.12,1094.63 2131.31,1099.74 2133.51,1104.81 \n",
" 2135.7,1109.85 2137.89,1114.86 2140.08,1119.82 2142.28,1124.76 2144.47,1129.65 2146.66,1134.51 2148.85,1139.33 2151.05,1144.11 2153.24,1148.85 2155.43,1153.55 \n",
" 2157.62,1158.22 2159.82,1162.84 2162.01,1167.42 2164.2,1171.97 2166.39,1176.47 2168.59,1180.93 2170.78,1185.35 2172.97,1189.73 2175.16,1194.07 2177.36,1198.36 \n",
" 2179.55,1202.61 2181.74,1206.82 2183.93,1210.98 2186.13,1215.1 2188.32,1219.18 2190.51,1223.21 2192.7,1227.2 2194.9,1231.14 2197.09,1235.04 2199.28,1238.89 \n",
" 2201.47,1242.69 2203.67,1246.45 2205.86,1250.17 2208.05,1253.83 2210.24,1257.45 2212.44,1261.02 2214.63,1264.55 2216.82,1268.03 2219.01,1271.46 2221.21,1274.84 \n",
" 2223.4,1278.17 2225.59,1281.46 2227.78,1284.7 2229.98,1287.88 2232.17,1291.02 2234.36,1294.11 2236.55,1297.15 2238.75,1300.14 2240.94,1303.08 2243.13,1305.97 \n",
" 2245.32,1308.82 2247.52,1311.61 2249.71,1314.35 2251.9,1317.03 2254.09,1319.67 2256.29,1322.26 2258.48,1324.8 2260.67,1327.28 2262.86,1329.71 2265.06,1332.1 \n",
" 2267.25,1334.43 2269.44,1336.71 2271.63,1338.93 2273.83,1341.11 2276.02,1343.23 2278.21,1345.3 2280.4,1347.31 2282.6,1349.28 2284.79,1351.19 2286.98,1353.05 \n",
" 2289.17,1354.85 2291.37,1356.61 2293.56,1358.31 2295.75,1359.95 2297.94,1361.55 2300.14,1363.09 2302.33,1364.57 2304.52,1366 2306.71,1367.38 2308.91,1368.71 \n",
" 2311.1,1369.98 2313.29,1371.2 2315.48,1372.36 2317.68,1373.47 2319.87,1374.52 2322.06,1375.53 2324.25,1376.47 2326.45,1377.37 2328.64,1378.2 2330.83,1378.99 \n",
" 2333.02,1379.72 2335.22,1380.39 2337.41,1381.02 2339.6,1381.58 2341.79,1382.1 2343.99,1382.55 2346.18,1382.96 2348.37,1383.31 2350.56,1383.6 2352.76,1383.84 \n",
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" 1017.53,445.078 1019.72,440.189 1021.91,435.318 1024.1,430.466 1026.3,425.633 1028.49,420.82 1030.68,416.028 1032.87,411.256 1035.07,406.505 1037.26,401.775 \n",
" 1039.45,397.068 1041.64,392.383 1043.84,387.722 1046.03,383.083 1048.22,378.469 1050.41,373.879 1052.61,369.314 1054.8,364.775 1056.99,360.261 1059.18,355.774 \n",
" 1061.38,351.314 1063.57,346.88 1065.76,342.475 1067.95,338.098 1070.15,333.75 1072.34,329.431 1074.53,325.142 1076.72,320.883 1078.92,316.655 1081.11,312.459 \n",
" 1083.3,308.294 1085.49,304.161 1087.69,300.061 1089.88,295.994 1092.07,291.962 1094.26,287.963 1096.46,283.999 1098.65,280.071 1100.84,276.178 1103.03,272.322 \n",
" 1105.23,268.502 1107.42,264.72 1109.61,260.976 1111.8,257.27 1114,253.603 1116.19,249.975 1118.38,246.388 1120.57,242.84 1122.77,239.334 1124.96,235.87 \n",
" 1127.15,232.447 1129.34,229.067 1131.54,225.73 1133.73,222.436 1135.92,219.187 1138.11,215.983 1140.31,212.823 1142.5,209.71 1144.69,206.643 1146.88,203.622 \n",
" 1149.08,200.649 1151.27,197.724 1153.46,194.847 1155.65,192.02 1157.85,189.242 1160.04,186.512 1162.23,183.832 1164.42,181.201 1166.62,178.621 1168.81,176.091 \n",
" 1171,173.613 1173.19,171.187 1175.39,168.813 1177.58,166.492 1179.77,164.225 1181.96,162.011 1184.16,159.852 1186.35,157.748 1188.54,155.699 1190.73,153.706 \n",
" 1192.93,151.768 1195.12,149.888 1197.31,148.064 1199.5,146.298 1201.7,144.589 1203.89,142.939 1206.08,141.347 1208.27,139.813 1210.47,138.339 1212.66,136.924 \n",
" 1214.85,135.568 1217.04,134.273 1219.24,133.037 1221.43,131.862 1223.62,130.748 1225.81,129.694 1228.01,128.702 1230.2,127.771 1232.39,126.901 1234.58,126.093 \n",
" 1236.78,125.347 1238.97,124.663 1241.16,124.041 1243.35,123.481 1245.55,122.983 1247.74,122.548 1249.93,122.175 1252.12,121.865 1254.32,121.617 1256.51,121.432 \n",
" 1258.7,121.31 1260.89,121.251 1263.09,121.254 1265.28,121.32 1267.47,121.448 1269.66,121.64 1271.86,121.894 1274.05,122.21 1276.24,122.589 1278.43,123.03 \n",
" 1280.63,123.534 1282.82,124.1 1285.01,124.728 1287.2,125.418 1289.4,126.169 1291.59,126.982 1293.78,127.857 1295.97,128.793 1298.17,129.79 1300.36,130.848 \n",
" 1302.55,131.966 1304.74,133.145 1306.94,134.384 1309.13,135.683 1311.32,137.041 1313.51,138.458 1315.71,139.935 1317.9,141.47 1320.09,143.064 1322.28,144.715 \n",
" 1324.48,146.425 1326.67,148.191 1328.86,150.015 1331.05,151.894 1333.25,153.83 1335.44,155.822 1337.63,157.869 1339.82,159.97 1342.02,162.126 1344.21,164.336 \n",
" 1346.4,166.599 1348.59,168.917 1350.79,171.288 1352.98,173.712 1355.17,176.189 1357.36,178.718 1359.56,181.299 1361.75,183.931 1363.94,186.614 1366.13,189.347 \n",
" 1368.33,192.129 1370.52,194.961 1372.71,197.841 1374.9,200.77 1377.1,203.746 1379.29,206.769 1381.48,209.839 1383.67,212.955 1385.87,216.116 1388.06,219.323 \n",
" 1390.25,222.574 1392.44,225.869 1394.64,229.208 1396.83,232.589 1399.02,236.014 1401.21,239.48 1403.41,242.988 1405.6,246.537 1407.79,250.126 1409.98,253.755 \n",
" 1412.18,257.424 1414.37,261.132 1416.56,264.878 1418.75,268.662 1420.95,272.484 1423.14,276.342 1425.33,280.237 1427.52,284.168 1429.72,288.134 1431.91,292.135 \n",
" 1434.1,296.171 1436.29,300.24 1438.49,304.343 1440.68,308.479 1442.87,312.647 1445.06,316.847 1447.26,321.078 1449.45,325.34 1451.64,329.632 1453.83,333.955 \n",
" 1456.03,338.306 1458.22,342.686 1460.41,347.095 1462.6,351.531 1464.8,355.995 1466.99,360.485 1469.18,365.001 1471.37,369.544 1473.57,374.111 1475.76,378.703 \n",
" 1477.95,383.32 1480.14,387.96 1482.34,392.623 1484.53,397.309 1486.72,402.018 1488.91,406.747 1491.11,411.498 1493.3,416.27 1495.49,421.062 1497.68,425.874 \n",
" 1499.88,430.706 1502.07,435.557 1504.26,440.427 1506.45,445.316 1508.65,450.222 1510.84,455.147 1513.03,460.088 1515.22,465.047 1517.42,470.022 1519.61,475.013 \n",
" 1521.8,480.02 1523.99,485.043 1526.19,490.081 1528.38,495.133 1530.57,500.199 1532.76,505.28 1534.96,510.374 1537.15,515.481 1539.34,520.601 1541.53,525.734 \n",
" 1543.73,530.878 1545.92,536.035 1548.11,541.203 1550.3,546.381 1552.5,551.571 1554.69,556.771 1556.88,561.981 1559.07,567.201 1561.27,572.43 1563.46,577.668 \n",
" 1565.65,582.914 1567.84,588.169 1570.04,593.432 1572.23,598.703 1574.42,603.981 1576.61,609.266 1578.81,614.557 1581,619.855 1583.19,625.159 1585.38,630.469 \n",
" 1587.58,635.784 1589.77,641.104 1591.96,646.429 1594.15,651.759 1596.35,657.092 1598.54,662.43 1600.73,667.771 1602.92,673.115 1605.12,678.462 1607.31,683.812 \n",
" 1609.5,689.164 1611.69,694.518 1613.89,699.875 1616.08,705.232 1618.27,710.591 1620.46,715.95 1622.66,721.311 1624.85,726.671 1627.04,732.032 1629.23,737.392 \n",
" 1631.43,742.752 1633.62,748.112 1635.81,753.47 1638,758.827 1640.2,764.182 1642.39,769.536 1644.58,774.887 1646.77,780.237 1648.97,785.583 1651.16,790.927 \n",
" 1653.35,796.268 1655.54,801.605 1657.74,806.938 1659.93,812.268 1662.12,817.594 1664.31,822.915 1666.51,828.232 1668.7,833.544 1670.89,838.851 1673.08,844.153 \n",
" 1675.28,849.449 1677.47,854.739 1679.66,860.024 1681.85,865.302 1684.05,870.574 1686.24,875.839 1688.43,881.097 1690.62,886.348 1692.82,891.592 1695.01,896.827 \n",
" 1697.2,902.054 1699.39,907.272 1701.59,912.48 1703.78,917.679 1705.97,922.868 1708.16,928.046 1710.36,933.214 1712.55,938.37 1714.74,943.515 1716.93,948.649 \n",
" 1719.13,953.77 1721.32,958.878 1723.51,963.974 1725.7,969.056 1727.9,974.125 1730.09,979.18 1732.28,984.22 1734.47,989.246 1736.67,994.256 1738.86,999.251 \n",
" 1741.05,1004.23 1743.24,1009.19 1745.44,1014.14 1747.63,1019.07 1749.82,1023.98 1752.01,1028.87 1754.21,1033.74 1756.4,1038.6 1758.59,1043.44 1760.78,1048.25 \n",
" 1762.98,1053.05 1765.17,1057.83 1767.36,1062.58 1769.55,1067.31 1771.75,1072.03 1773.94,1076.71 1776.13,1081.38 1778.32,1086.02 1780.52,1090.64 1782.71,1095.24 \n",
" 1784.9,1099.81 1787.09,1104.36 1789.29,1108.88 1791.48,1113.37 1793.67,1117.84 1795.86,1122.28 1798.05,1126.69 1800.25,1131.08 1802.44,1135.43 1804.63,1139.76 \n",
" 1806.82,1144.06 1809.02,1148.33 1811.21,1152.56 1813.4,1156.77 1815.59,1160.95 1817.79,1165.09 1819.98,1169.2 1822.17,1173.28 1824.36,1177.32 1826.56,1181.34 \n",
" 1828.75,1185.31 1830.94,1189.25 1833.13,1193.16 1835.33,1197.03 1837.52,1200.86 1839.71,1204.65 1841.9,1208.41 1844.1,1212.13 1846.29,1215.81 1848.48,1219.45 \n",
" 1850.67,1223.05 1852.87,1226.61 1855.06,1230.13 1857.25,1233.61 1859.44,1237.05 1861.64,1240.45 1863.83,1243.81 1866.02,1247.12 1868.21,1250.4 1870.41,1253.63 \n",
" 1872.6,1256.81 1874.79,1259.95 1876.98,1263.04 1879.18,1266.09 1881.37,1269.09 1883.56,1272.04 1885.75,1274.95 1887.95,1277.8 1890.14,1280.61 1892.33,1283.37 \n",
" 1894.52,1286.07 1896.72,1288.73 1898.91,1291.33 1901.1,1293.88 1903.29,1296.38 1905.49,1298.83 1907.68,1301.22 1909.87,1303.56 1912.06,1305.85 1914.26,1308.08 \n",
" 1916.45,1310.25 1918.64,1312.37 1920.83,1314.44 1923.03,1316.45 1925.22,1318.4 1927.41,1320.29 1929.6,1322.13 1931.8,1323.91 1933.99,1325.63 1936.18,1327.29 \n",
" 1938.37,1328.89 1940.57,1330.44 1942.76,1331.92 1944.95,1333.35 1947.14,1334.72 1949.34,1336.02 1951.53,1337.27 1953.72,1338.45 1955.91,1339.58 1958.11,1340.64 \n",
" 1960.3,1341.64 1962.49,1342.58 1964.68,1343.46 1966.88,1344.28 1969.07,1345.04 1971.26,1345.73 1973.45,1346.37 1975.65,1346.94 1977.84,1347.45 1980.03,1347.89 \n",
" 1982.22,1348.28 1984.42,1348.6 1986.61,1348.86 1988.8,1349.05 1990.99,1349.19 1993.19,1349.26 1995.38,1349.27 1997.57,1349.22 1999.76,1349.1 2001.96,1348.92 \n",
" 2004.15,1348.68 2006.34,1348.38 2008.53,1348.02 2010.73,1347.59 2012.92,1347.1 2015.11,1346.55 2017.3,1345.94 2019.5,1345.26 2021.69,1344.53 2023.88,1343.73 \n",
" 2026.07,1342.87 2028.27,1341.95 2030.46,1340.97 2032.65,1339.93 2034.84,1338.83 2037.04,1337.67 2039.23,1336.45 2041.42,1335.17 2043.61,1333.83 2045.81,1332.43 \n",
" 2048,1330.97 2050.19,1329.46 2052.38,1327.88 2054.58,1326.25 2056.77,1324.56 2058.96,1322.82 2061.15,1321.01 2063.35,1319.15 2065.54,1317.23 2067.73,1315.26 \n",
" 2069.92,1313.23 2072.12,1311.14 2074.31,1309 2076.5,1306.8 2078.69,1304.55 2080.89,1302.25 2083.08,1299.89 2085.27,1297.48 2087.46,1295.01 2089.66,1292.5 \n",
" 2091.85,1289.93 2094.04,1287.31 2096.23,1284.64 2098.43,1281.92 2100.62,1279.15 2102.81,1276.33 2105,1273.47 2107.2,1270.55 2109.39,1267.59 2111.58,1264.58 \n",
" 2113.77,1261.52 2115.97,1258.42 2118.16,1255.27 2120.35,1252.08 2122.54,1248.84 2124.74,1245.56 2126.93,1242.23 2129.12,1238.86 2131.31,1235.45 2133.51,1232 \n",
" 2135.7,1228.5 2137.89,1224.96 2140.08,1221.39 2142.28,1217.77 2144.47,1214.11 2146.66,1210.41 2148.85,1206.68 2151.05,1202.91 2153.24,1199.1 2155.43,1195.25 \n",
" 2157.62,1191.36 2159.82,1187.44 2162.01,1183.48 2164.2,1179.49 2166.39,1175.47 2168.59,1171.41 2170.78,1167.31 2172.97,1163.18 2175.16,1159.02 2177.36,1154.83 \n",
" 2179.55,1150.61 2181.74,1146.36 2183.93,1142.07 2186.13,1137.75 2188.32,1133.41 2190.51,1129.04 2192.7,1124.63 2194.9,1120.2 2197.09,1115.75 2199.28,1111.26 \n",
" 2201.47,1106.75 2203.67,1102.22 2205.86,1097.65 2208.05,1093.07 2210.24,1088.45 2212.44,1083.82 2214.63,1079.16 2216.82,1074.48 2219.01,1069.78 2221.21,1065.05 \n",
" 2223.4,1060.3 2225.59,1055.54 2227.78,1050.75 2229.98,1045.94 2232.17,1041.12 2234.36,1036.27 2236.55,1031.41 2238.75,1026.52 2240.94,1021.62 2243.13,1016.7 \n",
" 2245.32,1011.76 2247.52,1006.81 2249.71,1001.84 2251.9,996.854 2254.09,991.851 2256.29,986.834 2258.48,981.801 2260.67,976.754 2262.86,971.693 2265.06,966.618 \n",
" 2267.25,961.529 2269.44,956.427 2271.63,951.313 2273.83,946.186 2276.02,941.047 2278.21,935.896 2280.4,930.735 2282.6,925.562 2284.79,920.378 2286.98,915.185 \n",
" 2289.17,909.981 2291.37,904.768 2293.56,899.545 2295.75,894.314 2297.94,889.074 2300.14,883.825 2302.33,878.569 2304.52,873.305 2306.71,868.034 2308.91,862.756 \n",
" 2311.1,857.471 2313.29,852.179 2315.48,846.882 2317.68,841.579 2319.87,836.27 2322.06,830.956 2324.25,825.637 2326.45,820.313 2328.64,814.985 2330.83,809.653 \n",
" 2333.02,804.318 2335.22,798.978 2337.41,793.636 2339.6,788.29 2341.79,782.942 2343.99,777.591 2346.18,772.238 2348.37,766.883 2350.56,761.526 2352.76,756.168 \n",
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]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Main\n",
"#\n",
"g = 9.81; l = 10; k = 0;\n",
"p = [g,l,k] # constantes\n",
"theta0 = pi/3\n",
"t0 = 0.\n",
"tf = 3*pi*sqrt(l/g)*(1 + theta0^2/16 + theta0^4/3072) # 2*approximation de la période\n",
"tspan = (t0,tf) # instant initial et terminal\n",
"x0 = [theta0,0] # état initial\n",
"prob = ODEProblem(pendule,x0,tspan,p) # défini le problème en Julia\n",
"sol = solve(prob) # réalise l'intégration numérique\n",
"plot(sol, label = [\"x_1(t)\" \"x_2(t)\"]) "
]
},
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"source": [
"### Cas où xpoint est le premier argument modifié de la fonction second membre"
]
},
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"execution_count": 6,
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"text/plain": [
"pendule1! (generic function with 1 method)"
]
},
"execution_count": 6,
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"source": [
"function pendule1!(xpoint,x,p,t)\n",
"# second member of the IVP\n",
"# x : state\n",
"# real(2)\n",
"# p : parameter vector\n",
"# t : time, variable not use here\n",
"# real\n",
"# Output\n",
"# xpoint : vector of velocity\n",
"# same as x\n",
" g = p[1]; l = p[2]; k = p[3]\n",
" xpoint = similar(x)\n",
" xpoint[1] = x[2]\n",
" xpoint[2] = -(g/l)*sin(x[1]) - k*x[2]\n",
" return nothing\n",
"end"
]
},
{
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" 1155.9,86.1857 1158.08,86.1857 1160.26,86.1857 1162.44,86.1857 1164.62,86.1857 1166.8,86.1857 1168.98,86.1857 1171.16,86.1857 1173.34,86.1857 1175.52,86.1857 \n",
" 1177.7,86.1857 1179.88,86.1857 1182.06,86.1857 1184.24,86.1857 1186.42,86.1857 1188.6,86.1857 1190.78,86.1857 1192.96,86.1857 1195.14,86.1857 1197.32,86.1857 \n",
" 1199.5,86.1857 1201.68,86.1857 1203.86,86.1857 1206.04,86.1857 1208.22,86.1857 1210.4,86.1857 1212.58,86.1857 1214.76,86.1857 1216.94,86.1857 1219.12,86.1857 \n",
" 1221.3,86.1857 1223.48,86.1857 1225.66,86.1857 1227.84,86.1857 1230.02,86.1857 1232.2,86.1857 1234.38,86.1857 1236.56,86.1857 1238.74,86.1857 1240.92,86.1857 \n",
" 1243.1,86.1857 1245.28,86.1857 1247.46,86.1857 1249.64,86.1857 1251.82,86.1857 1254,86.1857 1256.18,86.1857 1258.36,86.1857 1260.54,86.1857 1262.72,86.1857 \n",
" 1264.9,86.1857 1267.08,86.1857 1269.26,86.1857 1271.44,86.1857 1273.62,86.1857 1275.8,86.1857 1277.98,86.1857 1280.16,86.1857 1282.34,86.1857 1284.52,86.1857 \n",
" 1286.7,86.1857 1288.88,86.1857 1291.06,86.1857 1293.24,86.1857 1295.42,86.1857 1297.6,86.1857 1299.78,86.1857 1301.96,86.1857 1304.14,86.1857 1306.32,86.1857 \n",
" 1308.5,86.1857 1310.68,86.1857 1312.86,86.1857 1315.04,86.1857 1317.22,86.1857 1319.4,86.1857 1321.58,86.1857 1323.76,86.1857 1325.94,86.1857 1328.12,86.1857 \n",
" 1330.3,86.1857 1332.48,86.1857 1334.66,86.1857 1336.84,86.1857 1339.02,86.1857 1341.2,86.1857 1343.38,86.1857 1345.56,86.1857 1347.74,86.1857 1349.92,86.1857 \n",
" 1352.1,86.1857 1354.28,86.1857 1356.46,86.1857 1358.64,86.1857 1360.82,86.1857 1363,86.1857 1365.18,86.1857 1367.36,86.1857 1369.54,86.1857 1371.72,86.1857 \n",
" 1373.9,86.1857 1376.08,86.1857 1378.26,86.1857 1380.44,86.1857 1382.62,86.1857 1384.8,86.1857 1386.98,86.1857 1389.16,86.1857 1391.34,86.1857 1393.52,86.1857 \n",
" 1395.7,86.1857 1397.88,86.1857 1400.06,86.1857 1402.24,86.1857 1404.42,86.1857 1406.6,86.1857 1408.78,86.1857 1410.96,86.1857 1413.14,86.1857 1415.32,86.1857 \n",
" 1417.5,86.1857 1419.68,86.1857 1421.86,86.1857 1424.04,86.1857 1426.22,86.1857 1428.4,86.1857 1430.58,86.1857 1432.76,86.1857 1434.94,86.1857 1437.12,86.1857 \n",
" 1439.3,86.1857 1441.48,86.1857 1443.67,86.1857 1445.85,86.1857 1448.03,86.1857 1450.21,86.1857 1452.39,86.1857 1454.57,86.1857 1456.75,86.1857 1458.93,86.1857 \n",
" 1461.11,86.1857 1463.29,86.1857 1465.47,86.1857 1467.65,86.1857 1469.83,86.1857 1472.01,86.1857 1474.19,86.1857 1476.37,86.1857 1478.55,86.1857 1480.73,86.1857 \n",
" 1482.91,86.1857 1485.09,86.1857 1487.27,86.1857 1489.45,86.1857 1491.63,86.1857 1493.81,86.1857 1495.99,86.1857 1498.17,86.1857 1500.35,86.1857 1502.53,86.1857 \n",
" 1504.71,86.1857 1506.89,86.1857 1509.07,86.1857 1511.25,86.1857 1513.43,86.1857 1515.61,86.1857 1517.79,86.1857 1519.97,86.1857 1522.15,86.1857 1524.33,86.1857 \n",
" 1526.51,86.1857 1528.69,86.1857 1530.87,86.1857 1533.05,86.1857 1535.23,86.1857 1537.41,86.1857 1539.59,86.1857 1541.77,86.1857 1543.95,86.1857 1546.13,86.1857 \n",
" 1548.31,86.1857 1550.49,86.1857 1552.67,86.1857 1554.85,86.1857 1557.03,86.1857 1559.21,86.1857 1561.39,86.1857 1563.57,86.1857 1565.75,86.1857 1567.93,86.1857 \n",
" 1570.11,86.1857 1572.29,86.1857 1574.47,86.1857 1576.65,86.1857 1578.83,86.1857 1581.01,86.1857 1583.19,86.1857 1585.37,86.1857 1587.55,86.1857 1589.73,86.1857 \n",
" 1591.91,86.1857 1594.09,86.1857 1596.27,86.1857 1598.45,86.1857 1600.63,86.1857 1602.81,86.1857 1604.99,86.1857 1607.17,86.1857 1609.35,86.1857 1611.53,86.1857 \n",
" 1613.71,86.1857 1615.89,86.1857 1618.07,86.1857 1620.25,86.1857 1622.43,86.1857 1624.61,86.1857 1626.79,86.1857 1628.97,86.1857 1631.15,86.1857 1633.33,86.1857 \n",
" 1635.51,86.1857 1637.69,86.1857 1639.87,86.1857 1642.05,86.1857 1644.23,86.1857 1646.41,86.1857 1648.59,86.1857 1650.77,86.1857 1652.95,86.1857 1655.13,86.1857 \n",
" 1657.31,86.1857 1659.49,86.1857 1661.67,86.1857 1663.85,86.1857 1666.03,86.1857 1668.21,86.1857 1670.39,86.1857 1672.57,86.1857 1674.75,86.1857 1676.93,86.1857 \n",
" 1679.11,86.1857 1681.29,86.1857 1683.47,86.1857 1685.65,86.1857 1687.83,86.1857 1690.01,86.1857 1692.19,86.1857 1694.37,86.1857 1696.55,86.1857 1698.73,86.1857 \n",
" 1700.91,86.1857 1703.09,86.1857 1705.27,86.1857 1707.45,86.1857 1709.63,86.1857 1711.81,86.1857 1713.99,86.1857 1716.17,86.1857 1718.35,86.1857 1720.53,86.1857 \n",
" 1722.71,86.1857 1724.89,86.1857 1727.07,86.1857 1729.25,86.1857 1731.43,86.1857 1733.61,86.1857 1735.79,86.1857 1737.98,86.1857 1740.16,86.1857 1742.34,86.1857 \n",
" 1744.52,86.1857 1746.7,86.1857 1748.88,86.1857 1751.06,86.1857 1753.24,86.1857 1755.42,86.1857 1757.6,86.1857 1759.78,86.1857 1761.96,86.1857 1764.14,86.1857 \n",
" 1766.32,86.1857 1768.5,86.1857 1770.68,86.1857 1772.86,86.1857 1775.04,86.1857 1777.22,86.1857 1779.4,86.1857 1781.58,86.1857 1783.76,86.1857 1785.94,86.1857 \n",
" 1788.12,86.1857 1790.3,86.1857 1792.48,86.1857 1794.66,86.1857 1796.84,86.1857 1799.02,86.1857 1801.2,86.1857 1803.38,86.1857 1805.56,86.1857 1807.74,86.1857 \n",
" 1809.92,86.1857 1812.1,86.1857 1814.28,86.1857 1816.46,86.1857 1818.64,86.1857 1820.82,86.1857 1823,86.1857 1825.18,86.1857 1827.36,86.1857 1829.54,86.1857 \n",
" 1831.72,86.1857 1833.9,86.1857 1836.08,86.1857 1838.26,86.1857 1840.44,86.1857 1842.62,86.1857 1844.8,86.1857 1846.98,86.1857 1849.16,86.1857 1851.34,86.1857 \n",
" 1853.52,86.1857 1855.7,86.1857 1857.88,86.1857 1860.06,86.1857 1862.24,86.1857 1864.42,86.1857 1866.6,86.1857 1868.78,86.1857 1870.96,86.1857 1873.14,86.1857 \n",
" 1875.32,86.1857 1877.5,86.1857 1879.68,86.1857 1881.86,86.1857 1884.04,86.1857 1886.22,86.1857 1888.4,86.1857 1890.58,86.1857 1892.76,86.1857 1894.94,86.1857 \n",
" 1897.12,86.1857 1899.3,86.1857 1901.48,86.1857 1903.66,86.1857 1905.84,86.1857 1908.02,86.1857 1910.2,86.1857 1912.38,86.1857 1914.56,86.1857 1916.74,86.1857 \n",
" 1918.92,86.1857 1921.1,86.1857 1923.28,86.1857 1925.46,86.1857 1927.64,86.1857 1929.82,86.1857 1932,86.1857 1934.18,86.1857 1936.36,86.1857 1938.54,86.1857 \n",
" 1940.72,86.1857 1942.9,86.1857 1945.08,86.1857 1947.26,86.1857 1949.44,86.1857 1951.62,86.1857 1953.8,86.1857 1955.98,86.1857 1958.16,86.1857 1960.34,86.1857 \n",
" 1962.52,86.1857 1964.7,86.1857 1966.88,86.1857 1969.06,86.1857 1971.24,86.1857 1973.42,86.1857 1975.6,86.1857 1977.78,86.1857 1979.96,86.1857 1982.14,86.1857 \n",
" 1984.32,86.1857 1986.5,86.1857 1988.68,86.1857 1990.86,86.1857 1993.04,86.1857 1995.22,86.1857 1997.4,86.1857 1999.58,86.1857 2001.76,86.1857 2003.94,86.1857 \n",
" 2006.12,86.1857 2008.3,86.1857 2010.48,86.1857 2012.66,86.1857 2014.84,86.1857 2017.02,86.1857 2019.2,86.1857 2021.38,86.1857 2023.56,86.1857 2025.74,86.1857 \n",
" 2027.92,86.1857 2030.1,86.1857 2032.29,86.1857 2034.47,86.1857 2036.65,86.1857 2038.83,86.1857 2041.01,86.1857 2043.19,86.1857 2045.37,86.1857 2047.55,86.1857 \n",
" 2049.73,86.1857 2051.91,86.1857 2054.09,86.1857 2056.27,86.1857 2058.45,86.1857 2060.63,86.1857 2062.81,86.1857 2064.99,86.1857 2067.17,86.1857 2069.35,86.1857 \n",
" 2071.53,86.1857 2073.71,86.1857 2075.89,86.1857 2078.07,86.1857 2080.25,86.1857 2082.43,86.1857 2084.61,86.1857 2086.79,86.1857 2088.97,86.1857 2091.15,86.1857 \n",
" 2093.33,86.1857 2095.51,86.1857 2097.69,86.1857 2099.87,86.1857 2102.05,86.1857 2104.23,86.1857 2106.41,86.1857 2108.59,86.1857 2110.77,86.1857 2112.95,86.1857 \n",
" 2115.13,86.1857 2117.31,86.1857 2119.49,86.1857 2121.67,86.1857 2123.85,86.1857 2126.03,86.1857 2128.21,86.1857 2130.39,86.1857 2132.57,86.1857 2134.75,86.1857 \n",
" 2136.93,86.1857 2139.11,86.1857 2141.29,86.1857 2143.47,86.1857 2145.65,86.1857 2147.83,86.1857 2150.01,86.1857 2152.19,86.1857 2154.37,86.1857 2156.55,86.1857 \n",
" 2158.73,86.1857 2160.91,86.1857 2163.09,86.1857 2165.27,86.1857 2167.45,86.1857 2169.63,86.1857 2171.81,86.1857 2173.99,86.1857 2176.17,86.1857 2178.35,86.1857 \n",
" 2180.53,86.1857 2182.71,86.1857 2184.89,86.1857 2187.07,86.1857 2189.25,86.1857 2191.43,86.1857 2193.61,86.1857 2195.79,86.1857 2197.97,86.1857 2200.15,86.1857 \n",
" 2202.33,86.1857 2204.51,86.1857 2206.69,86.1857 2208.87,86.1857 2211.05,86.1857 2213.23,86.1857 2215.41,86.1857 2217.59,86.1857 2219.77,86.1857 2221.95,86.1857 \n",
" 2224.13,86.1857 2226.31,86.1857 2228.49,86.1857 2230.67,86.1857 2232.85,86.1857 2235.03,86.1857 2237.21,86.1857 2239.39,86.1857 2241.57,86.1857 2243.75,86.1857 \n",
" 2245.93,86.1857 2248.11,86.1857 2250.29,86.1857 2252.47,86.1857 2254.65,86.1857 2256.83,86.1857 2259.01,86.1857 2261.19,86.1857 2263.37,86.1857 2265.55,86.1857 \n",
" 2267.73,86.1857 2269.91,86.1857 2272.09,86.1857 2274.27,86.1857 2276.45,86.1857 2278.63,86.1857 2280.81,86.1857 2282.99,86.1857 2285.17,86.1857 2287.35,86.1857 \n",
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" 2311.33,86.1857 2313.51,86.1857 2315.69,86.1857 2317.87,86.1857 2320.05,86.1857 2322.23,86.1857 2324.41,86.1857 2326.6,86.1857 2328.78,86.1857 2330.96,86.1857 \n",
" 2333.14,86.1857 2335.32,86.1857 2337.5,86.1857 2339.68,86.1857 2341.86,86.1857 2344.04,86.1857 2346.22,86.1857 2348.4,86.1857 2350.58,86.1857 2352.76,86.1857 \n",
" \n",
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" 1068.69,1384.24 1070.87,1384.24 1073.05,1384.24 1075.23,1384.24 1077.41,1384.24 1079.59,1384.24 1081.77,1384.24 1083.95,1384.24 1086.13,1384.24 1088.31,1384.24 \n",
" 1090.49,1384.24 1092.67,1384.24 1094.85,1384.24 1097.03,1384.24 1099.21,1384.24 1101.39,1384.24 1103.57,1384.24 1105.75,1384.24 1107.93,1384.24 1110.11,1384.24 \n",
" 1112.29,1384.24 1114.47,1384.24 1116.65,1384.24 1118.83,1384.24 1121.01,1384.24 1123.19,1384.24 1125.37,1384.24 1127.55,1384.24 1129.73,1384.24 1131.91,1384.24 \n",
" 1134.09,1384.24 1136.27,1384.24 1138.45,1384.24 1140.63,1384.24 1142.81,1384.24 1144.99,1384.24 1147.18,1384.24 1149.36,1384.24 1151.54,1384.24 1153.72,1384.24 \n",
" 1155.9,1384.24 1158.08,1384.24 1160.26,1384.24 1162.44,1384.24 1164.62,1384.24 1166.8,1384.24 1168.98,1384.24 1171.16,1384.24 1173.34,1384.24 1175.52,1384.24 \n",
" 1177.7,1384.24 1179.88,1384.24 1182.06,1384.24 1184.24,1384.24 1186.42,1384.24 1188.6,1384.24 1190.78,1384.24 1192.96,1384.24 1195.14,1384.24 1197.32,1384.24 \n",
" 1199.5,1384.24 1201.68,1384.24 1203.86,1384.24 1206.04,1384.24 1208.22,1384.24 1210.4,1384.24 1212.58,1384.24 1214.76,1384.24 1216.94,1384.24 1219.12,1384.24 \n",
" 1221.3,1384.24 1223.48,1384.24 1225.66,1384.24 1227.84,1384.24 1230.02,1384.24 1232.2,1384.24 1234.38,1384.24 1236.56,1384.24 1238.74,1384.24 1240.92,1384.24 \n",
" 1243.1,1384.24 1245.28,1384.24 1247.46,1384.24 1249.64,1384.24 1251.82,1384.24 1254,1384.24 1256.18,1384.24 1258.36,1384.24 1260.54,1384.24 1262.72,1384.24 \n",
" 1264.9,1384.24 1267.08,1384.24 1269.26,1384.24 1271.44,1384.24 1273.62,1384.24 1275.8,1384.24 1277.98,1384.24 1280.16,1384.24 1282.34,1384.24 1284.52,1384.24 \n",
" 1286.7,1384.24 1288.88,1384.24 1291.06,1384.24 1293.24,1384.24 1295.42,1384.24 1297.6,1384.24 1299.78,1384.24 1301.96,1384.24 1304.14,1384.24 1306.32,1384.24 \n",
" 1308.5,1384.24 1310.68,1384.24 1312.86,1384.24 1315.04,1384.24 1317.22,1384.24 1319.4,1384.24 1321.58,1384.24 1323.76,1384.24 1325.94,1384.24 1328.12,1384.24 \n",
" 1330.3,1384.24 1332.48,1384.24 1334.66,1384.24 1336.84,1384.24 1339.02,1384.24 1341.2,1384.24 1343.38,1384.24 1345.56,1384.24 1347.74,1384.24 1349.92,1384.24 \n",
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" 1439.3,1384.24 1441.48,1384.24 1443.67,1384.24 1445.85,1384.24 1448.03,1384.24 1450.21,1384.24 1452.39,1384.24 1454.57,1384.24 1456.75,1384.24 1458.93,1384.24 \n",
" 1461.11,1384.24 1463.29,1384.24 1465.47,1384.24 1467.65,1384.24 1469.83,1384.24 1472.01,1384.24 1474.19,1384.24 1476.37,1384.24 1478.55,1384.24 1480.73,1384.24 \n",
" 1482.91,1384.24 1485.09,1384.24 1487.27,1384.24 1489.45,1384.24 1491.63,1384.24 1493.81,1384.24 1495.99,1384.24 1498.17,1384.24 1500.35,1384.24 1502.53,1384.24 \n",
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" 1526.51,1384.24 1528.69,1384.24 1530.87,1384.24 1533.05,1384.24 1535.23,1384.24 1537.41,1384.24 1539.59,1384.24 1541.77,1384.24 1543.95,1384.24 1546.13,1384.24 \n",
" 1548.31,1384.24 1550.49,1384.24 1552.67,1384.24 1554.85,1384.24 1557.03,1384.24 1559.21,1384.24 1561.39,1384.24 1563.57,1384.24 1565.75,1384.24 1567.93,1384.24 \n",
" 1570.11,1384.24 1572.29,1384.24 1574.47,1384.24 1576.65,1384.24 1578.83,1384.24 1581.01,1384.24 1583.19,1384.24 1585.37,1384.24 1587.55,1384.24 1589.73,1384.24 \n",
" 1591.91,1384.24 1594.09,1384.24 1596.27,1384.24 1598.45,1384.24 1600.63,1384.24 1602.81,1384.24 1604.99,1384.24 1607.17,1384.24 1609.35,1384.24 1611.53,1384.24 \n",
" 1613.71,1384.24 1615.89,1384.24 1618.07,1384.24 1620.25,1384.24 1622.43,1384.24 1624.61,1384.24 1626.79,1384.24 1628.97,1384.24 1631.15,1384.24 1633.33,1384.24 \n",
" 1635.51,1384.24 1637.69,1384.24 1639.87,1384.24 1642.05,1384.24 1644.23,1384.24 1646.41,1384.24 1648.59,1384.24 1650.77,1384.24 1652.95,1384.24 1655.13,1384.24 \n",
" 1657.31,1384.24 1659.49,1384.24 1661.67,1384.24 1663.85,1384.24 1666.03,1384.24 1668.21,1384.24 1670.39,1384.24 1672.57,1384.24 1674.75,1384.24 1676.93,1384.24 \n",
" 1679.11,1384.24 1681.29,1384.24 1683.47,1384.24 1685.65,1384.24 1687.83,1384.24 1690.01,1384.24 1692.19,1384.24 1694.37,1384.24 1696.55,1384.24 1698.73,1384.24 \n",
" 1700.91,1384.24 1703.09,1384.24 1705.27,1384.24 1707.45,1384.24 1709.63,1384.24 1711.81,1384.24 1713.99,1384.24 1716.17,1384.24 1718.35,1384.24 1720.53,1384.24 \n",
" 1722.71,1384.24 1724.89,1384.24 1727.07,1384.24 1729.25,1384.24 1731.43,1384.24 1733.61,1384.24 1735.79,1384.24 1737.98,1384.24 1740.16,1384.24 1742.34,1384.24 \n",
" 1744.52,1384.24 1746.7,1384.24 1748.88,1384.24 1751.06,1384.24 1753.24,1384.24 1755.42,1384.24 1757.6,1384.24 1759.78,1384.24 1761.96,1384.24 1764.14,1384.24 \n",
" 1766.32,1384.24 1768.5,1384.24 1770.68,1384.24 1772.86,1384.24 1775.04,1384.24 1777.22,1384.24 1779.4,1384.24 1781.58,1384.24 1783.76,1384.24 1785.94,1384.24 \n",
" 1788.12,1384.24 1790.3,1384.24 1792.48,1384.24 1794.66,1384.24 1796.84,1384.24 1799.02,1384.24 1801.2,1384.24 1803.38,1384.24 1805.56,1384.24 1807.74,1384.24 \n",
" 1809.92,1384.24 1812.1,1384.24 1814.28,1384.24 1816.46,1384.24 1818.64,1384.24 1820.82,1384.24 1823,1384.24 1825.18,1384.24 1827.36,1384.24 1829.54,1384.24 \n",
" 1831.72,1384.24 1833.9,1384.24 1836.08,1384.24 1838.26,1384.24 1840.44,1384.24 1842.62,1384.24 1844.8,1384.24 1846.98,1384.24 1849.16,1384.24 1851.34,1384.24 \n",
" 1853.52,1384.24 1855.7,1384.24 1857.88,1384.24 1860.06,1384.24 1862.24,1384.24 1864.42,1384.24 1866.6,1384.24 1868.78,1384.24 1870.96,1384.24 1873.14,1384.24 \n",
" 1875.32,1384.24 1877.5,1384.24 1879.68,1384.24 1881.86,1384.24 1884.04,1384.24 1886.22,1384.24 1888.4,1384.24 1890.58,1384.24 1892.76,1384.24 1894.94,1384.24 \n",
" 1897.12,1384.24 1899.3,1384.24 1901.48,1384.24 1903.66,1384.24 1905.84,1384.24 1908.02,1384.24 1910.2,1384.24 1912.38,1384.24 1914.56,1384.24 1916.74,1384.24 \n",
" 1918.92,1384.24 1921.1,1384.24 1923.28,1384.24 1925.46,1384.24 1927.64,1384.24 1929.82,1384.24 1932,1384.24 1934.18,1384.24 1936.36,1384.24 1938.54,1384.24 \n",
" 1940.72,1384.24 1942.9,1384.24 1945.08,1384.24 1947.26,1384.24 1949.44,1384.24 1951.62,1384.24 1953.8,1384.24 1955.98,1384.24 1958.16,1384.24 1960.34,1384.24 \n",
" 1962.52,1384.24 1964.7,1384.24 1966.88,1384.24 1969.06,1384.24 1971.24,1384.24 1973.42,1384.24 1975.6,1384.24 1977.78,1384.24 1979.96,1384.24 1982.14,1384.24 \n",
" 1984.32,1384.24 1986.5,1384.24 1988.68,1384.24 1990.86,1384.24 1993.04,1384.24 1995.22,1384.24 1997.4,1384.24 1999.58,1384.24 2001.76,1384.24 2003.94,1384.24 \n",
" 2006.12,1384.24 2008.3,1384.24 2010.48,1384.24 2012.66,1384.24 2014.84,1384.24 2017.02,1384.24 2019.2,1384.24 2021.38,1384.24 2023.56,1384.24 2025.74,1384.24 \n",
" 2027.92,1384.24 2030.1,1384.24 2032.29,1384.24 2034.47,1384.24 2036.65,1384.24 2038.83,1384.24 2041.01,1384.24 2043.19,1384.24 2045.37,1384.24 2047.55,1384.24 \n",
" 2049.73,1384.24 2051.91,1384.24 2054.09,1384.24 2056.27,1384.24 2058.45,1384.24 2060.63,1384.24 2062.81,1384.24 2064.99,1384.24 2067.17,1384.24 2069.35,1384.24 \n",
" 2071.53,1384.24 2073.71,1384.24 2075.89,1384.24 2078.07,1384.24 2080.25,1384.24 2082.43,1384.24 2084.61,1384.24 2086.79,1384.24 2088.97,1384.24 2091.15,1384.24 \n",
" 2093.33,1384.24 2095.51,1384.24 2097.69,1384.24 2099.87,1384.24 2102.05,1384.24 2104.23,1384.24 2106.41,1384.24 2108.59,1384.24 2110.77,1384.24 2112.95,1384.24 \n",
" 2115.13,1384.24 2117.31,1384.24 2119.49,1384.24 2121.67,1384.24 2123.85,1384.24 2126.03,1384.24 2128.21,1384.24 2130.39,1384.24 2132.57,1384.24 2134.75,1384.24 \n",
" 2136.93,1384.24 2139.11,1384.24 2141.29,1384.24 2143.47,1384.24 2145.65,1384.24 2147.83,1384.24 2150.01,1384.24 2152.19,1384.24 2154.37,1384.24 2156.55,1384.24 \n",
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" 2202.33,1384.24 2204.51,1384.24 2206.69,1384.24 2208.87,1384.24 2211.05,1384.24 2213.23,1384.24 2215.41,1384.24 2217.59,1384.24 2219.77,1384.24 2221.95,1384.24 \n",
" 2224.13,1384.24 2226.31,1384.24 2228.49,1384.24 2230.67,1384.24 2232.85,1384.24 2235.03,1384.24 2237.21,1384.24 2239.39,1384.24 2241.57,1384.24 2243.75,1384.24 \n",
" 2245.93,1384.24 2248.11,1384.24 2250.29,1384.24 2252.47,1384.24 2254.65,1384.24 2256.83,1384.24 2259.01,1384.24 2261.19,1384.24 2263.37,1384.24 2265.55,1384.24 \n",
" 2267.73,1384.24 2269.91,1384.24 2272.09,1384.24 2274.27,1384.24 2276.45,1384.24 2278.63,1384.24 2280.81,1384.24 2282.99,1384.24 2285.17,1384.24 2287.35,1384.24 \n",
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"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"# Main\n",
"#\n",
"g = 9.81; l = 10; k = 0;\n",
"p = [g,l,k] # constantes\n",
"theta0 = pi/3\n",
"t0 = 0.\n",
"tf = 3*pi*sqrt(l/g)*(1 + theta0^2/16 + theta0^4/3072) # 2*approximation de la période\n",
"tspan = (t0,tf) # instant initial et terminal\n",
"x0 = [theta0,0] # état initial\n",
"prob = ODEProblem(pendule1!,x0,tspan,p) # défini le problème en Julia\n",
"sol = solve(prob) # réalise l'intégration numérique\n",
"plot(sol, label = [\"x_1(t)\" \"x_2(t)\"]) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"L'instruction `xpoint = similar(x)` **crée une variable locale xpoint** et on a perdu le paramètre formel `xpoint`."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"pendule2! (generic function with 1 method)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"function pendule2!(xpoint,x,p,t)\n",
"# second member of the IVP\n",
"# x : state\n",
"# real(2)\n",
"# p : parameter vector\n",
"# t : time, variable not use here\n",
"# real\n",
"# Output\n",
"# xpoint : vector of velocity\n",
"# same as x\n",
" g = p[1]; l = p[2]; k = p[3]\n",
" xpoint[1] = x[2]\n",
" xpoint[2] = -(g/l)*sin(x[1]) - k*x[2]\n",
" return nothing\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
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" 1083.3,1190.69 1085.49,1186.32 1087.69,1181.91 1089.88,1177.46 1092.07,1172.97 1094.26,1168.43 1096.46,1163.86 1098.65,1159.24 1100.84,1154.59 1103.03,1149.89 \n",
" 1105.23,1145.16 1107.42,1140.39 1109.61,1135.58 1111.8,1130.73 1114,1125.85 1116.19,1120.92 1118.38,1115.96 1120.57,1110.97 1122.77,1105.94 1124.96,1100.87 \n",
" 1127.15,1095.77 1129.34,1090.63 1131.54,1085.46 1133.73,1080.25 1135.92,1075.02 1138.11,1069.74 1140.31,1064.44 1142.5,1059.11 1144.69,1053.74 1146.88,1048.34 \n",
" 1149.08,1042.91 1151.27,1037.46 1153.46,1031.97 1155.65,1026.45 1157.85,1020.91 1160.04,1015.33 1162.23,1009.73 1164.42,1004.1 1166.62,998.449 1168.81,992.769 \n",
" 1171,987.062 1173.19,981.331 1175.39,975.576 1177.58,969.797 1179.77,963.995 1181.96,958.17 1184.16,952.323 1186.35,946.455 1188.54,940.565 1190.73,934.656 \n",
" 1192.93,928.727 1195.12,922.778 1197.31,916.811 1199.5,910.826 1201.7,904.824 1203.89,898.804 1206.08,892.769 1208.27,886.717 1210.47,880.651 1212.66,874.57 \n",
" 1214.85,868.475 1217.04,862.367 1219.24,856.246 1221.43,850.113 1223.62,843.969 1225.81,837.813 1228.01,831.647 1230.2,825.472 1232.39,819.287 1234.58,813.094 \n",
" 1236.78,806.892 1238.97,800.684 1241.16,794.468 1243.35,788.247 1245.55,782.02 1247.74,775.788 1249.93,769.552 1252.12,763.312 1254.32,757.068 1256.51,750.823 \n",
" 1258.7,744.575 1260.89,738.327 1263.09,732.077 1265.28,725.828 1267.47,719.579 1269.66,713.332 1271.86,707.086 1274.05,700.843 1276.24,694.603 1278.43,688.367 \n",
" 1280.63,682.135 1282.82,675.908 1285.01,669.687 1287.2,663.472 1289.4,657.264 1291.59,651.064 1293.78,644.871 1295.97,638.688 1298.17,632.514 1300.36,626.35 \n",
" 1302.55,620.197 1304.74,614.055 1306.94,607.925 1309.13,601.808 1311.32,595.704 1313.51,589.614 1315.71,583.539 1317.9,577.479 1320.09,571.435 1322.28,565.408 \n",
" 1324.48,559.397 1326.67,553.405 1328.86,547.431 1331.05,541.477 1333.25,535.542 1335.44,529.628 1337.63,523.735 1339.82,517.864 1342.02,512.016 1344.21,506.191 \n",
" 1346.4,500.389 1348.59,494.611 1350.79,488.857 1352.98,483.127 1355.17,477.422 1357.36,471.743 1359.56,466.09 1361.75,460.463 1363.94,454.863 1366.13,449.291 \n",
" 1368.33,443.747 1370.52,438.232 1372.71,432.745 1374.9,427.288 1377.1,421.862 1379.29,416.465 1381.48,411.1 1383.67,405.767 1385.87,400.465 1388.06,395.196 \n",
" 1390.25,389.959 1392.44,384.756 1394.64,379.587 1396.83,374.451 1399.02,369.351 1401.21,364.286 1403.41,359.256 1405.6,354.262 1407.79,349.304 1409.98,344.383 \n",
" 1412.18,339.499 1414.37,334.653 1416.56,329.845 1418.75,325.075 1420.95,320.344 1423.14,315.652 1425.33,310.999 1427.52,306.386 1429.72,301.814 1431.91,297.282 \n",
" 1434.1,292.791 1436.29,288.341 1438.49,283.932 1440.68,279.566 1442.87,275.242 1445.06,270.961 1447.26,266.722 1449.45,262.527 1451.64,258.375 1453.83,254.267 \n",
" 1456.03,250.203 1458.22,246.184 1460.41,242.21 1462.6,238.28 1464.8,234.396 1466.99,230.557 1469.18,226.765 1471.37,223.018 1473.57,219.318 1475.76,215.664 \n",
" 1477.95,212.057 1480.14,208.498 1482.34,204.985 1484.53,201.521 1486.72,198.104 1488.91,194.735 1491.11,191.415 1493.3,188.143 1495.49,184.919 1497.68,181.744 \n",
" 1499.88,178.618 1502.07,175.54 1504.26,172.512 1506.45,169.534 1508.65,166.605 1510.84,163.726 1513.03,160.897 1515.22,158.118 1517.42,155.389 1519.61,152.711 \n",
" 1521.8,150.084 1523.99,147.508 1526.19,144.983 1528.38,142.509 1530.57,140.087 1532.76,137.716 1534.96,135.396 1537.15,133.129 1539.34,130.914 1541.53,128.751 \n",
" 1543.73,126.64 1545.92,124.582 1548.11,122.576 1550.3,120.623 1552.5,118.723 1554.69,116.876 1556.88,115.082 1559.07,113.341 1561.27,111.653 1563.46,110.019 \n",
" 1565.65,108.438 1567.84,106.911 1570.04,105.437 1572.23,104.018 1574.42,102.652 1576.61,101.34 1578.81,100.082 1581,98.8784 1583.19,97.7288 1585.38,96.6335 \n",
" 1587.58,95.5924 1589.77,94.6057 1591.96,93.6734 1594.15,92.7956 1596.35,91.9723 1598.54,91.2036 1600.73,90.4895 1602.92,89.83 1605.12,89.2251 1607.31,88.675 \n",
" 1609.5,88.1796 1611.69,87.7389 1613.89,87.353 1616.08,87.0219 1618.27,86.7455 1620.46,86.524 1622.66,86.3572 1624.85,86.2453 1627.04,86.1881 1629.23,86.1857 \n",
" 1631.43,86.238 1633.62,86.3451 1635.81,86.507 1638,86.7235 1640.2,86.9947 1642.39,87.3206 1644.58,87.7011 1646.77,88.1361 1648.97,88.6257 1651.16,89.1697 \n",
" 1653.35,89.7681 1655.54,90.421 1657.74,91.1281 1659.93,91.8895 1662.12,92.7051 1664.31,93.5748 1666.51,94.4985 1668.7,95.4762 1670.89,96.5078 1673.08,97.5932 \n",
" 1675.28,98.7323 1677.47,99.925 1679.66,101.171 1681.85,102.471 1684.05,103.824 1686.24,105.23 1688.43,106.689 1690.62,108.201 1692.82,109.767 1695.01,111.385 \n",
" 1697.2,113.056 1699.39,114.781 1701.59,116.558 1703.78,118.389 1705.97,120.272 1708.16,122.208 1710.36,124.196 1712.55,126.237 1714.74,128.331 1716.93,130.477 \n",
" 1719.13,132.675 1721.32,134.925 1723.51,137.227 1725.7,139.581 1727.9,141.987 1730.09,144.444 1732.28,146.953 1734.47,149.513 1736.67,152.124 1738.86,154.786 \n",
" 1741.05,157.499 1743.24,160.263 1745.44,163.077 1747.63,165.941 1749.82,168.856 1752.01,171.821 1754.21,174.835 1756.4,177.899 1758.59,181.013 1760.78,184.176 \n",
" 1762.98,187.387 1765.17,190.648 1767.36,193.957 1769.55,197.314 1771.75,200.72 1773.94,204.173 1776.13,207.674 1778.32,211.223 1780.52,214.818 1782.71,218.461 \n",
" 1784.9,222.15 1787.09,225.886 1789.29,229.668 1791.48,233.495 1793.67,237.369 1795.86,241.287 1798.05,245.251 1800.25,249.26 1802.44,253.313 1804.63,257.41 \n",
" 1806.82,261.551 1809.02,265.735 1811.21,269.963 1813.4,274.234 1815.59,278.548 1817.79,282.903 1819.98,287.301 1822.17,291.741 1824.36,296.221 1826.56,300.743 \n",
" 1828.75,305.305 1830.94,309.908 1833.13,314.551 1835.33,319.233 1837.52,323.954 1839.71,328.714 1841.9,333.512 1844.1,338.349 1846.29,343.223 1848.48,348.134 \n",
" 1850.67,353.083 1852.87,358.068 1855.06,363.089 1857.25,368.145 1859.44,373.237 1861.64,378.364 1863.83,383.525 1866.02,388.72 1868.21,393.948 1870.41,399.21 \n",
" 1872.6,404.503 1874.79,409.829 1876.98,415.186 1879.18,420.574 1881.37,425.992 1883.56,431.441 1885.75,436.918 1887.95,442.425 1890.14,447.961 1892.33,453.524 \n",
" 1894.52,459.115 1896.72,464.732 1898.91,470.376 1901.1,476.046 1903.29,481.742 1905.49,487.462 1907.68,493.207 1909.87,498.975 1912.06,504.767 1914.26,510.582 \n",
" 1916.45,516.418 1918.64,522.277 1920.83,528.156 1923.03,534.056 1925.22,539.977 1927.41,545.916 1929.6,551.875 1931.8,557.852 1933.99,563.847 1936.18,569.859 \n",
" 1938.37,575.888 1940.57,581.933 1942.76,587.993 1944.95,594.068 1947.14,600.158 1949.34,606.262 1951.53,612.379 1953.72,618.509 1955.91,624.65 1958.11,630.803 \n",
" 1960.3,636.967 1962.49,643.142 1964.68,649.326 1966.88,655.519 1969.07,661.721 1971.26,667.93 1973.45,674.147 1975.65,680.37 1977.84,686.6 1980.03,692.835 \n",
" 1982.22,699.074 1984.42,705.318 1986.61,711.566 1988.8,717.816 1990.99,724.069 1993.19,730.323 1995.38,736.579 1997.57,742.834 1999.76,749.09 2001.96,755.344 \n",
" 2004.15,761.597 2006.34,767.848 2008.53,774.096 2010.73,780.34 2012.92,786.581 2015.11,792.816 2017.3,799.046 2019.5,805.269 2021.69,811.486 2023.88,817.695 \n",
" 2026.07,823.896 2028.27,830.089 2030.46,836.271 2032.65,842.443 2034.84,848.605 2037.04,854.755 2039.23,860.892 2041.42,867.016 2043.61,873.127 2045.81,879.223 \n",
" 2048,885.304 2050.19,891.369 2052.38,897.418 2054.58,903.449 2056.77,909.463 2058.96,915.457 2061.15,921.433 2063.35,927.388 2065.54,933.323 2067.73,939.239 \n",
" 2069.92,945.134 2072.12,951.008 2074.31,956.861 2076.5,962.692 2078.69,968.5 2080.89,974.285 2083.08,980.046 2085.27,985.783 2087.46,991.495 2089.66,997.182 \n",
" 2091.85,1002.84 2094.04,1008.48 2096.23,1014.08 2098.43,1019.66 2100.62,1025.22 2102.81,1030.74 2105,1036.23 2107.2,1041.7 2109.39,1047.13 2111.58,1052.54 \n",
" 2113.77,1057.91 2115.97,1063.26 2118.16,1068.57 2120.35,1073.85 2122.54,1079.09 2124.74,1084.3 2126.93,1089.48 2129.12,1094.63 2131.31,1099.74 2133.51,1104.81 \n",
" 2135.7,1109.85 2137.89,1114.86 2140.08,1119.82 2142.28,1124.76 2144.47,1129.65 2146.66,1134.51 2148.85,1139.33 2151.05,1144.11 2153.24,1148.85 2155.43,1153.55 \n",
" 2157.62,1158.22 2159.82,1162.84 2162.01,1167.42 2164.2,1171.97 2166.39,1176.47 2168.59,1180.93 2170.78,1185.35 2172.97,1189.73 2175.16,1194.07 2177.36,1198.36 \n",
" 2179.55,1202.61 2181.74,1206.82 2183.93,1210.98 2186.13,1215.1 2188.32,1219.18 2190.51,1223.21 2192.7,1227.2 2194.9,1231.14 2197.09,1235.04 2199.28,1238.89 \n",
" 2201.47,1242.69 2203.67,1246.45 2205.86,1250.17 2208.05,1253.83 2210.24,1257.45 2212.44,1261.02 2214.63,1264.55 2216.82,1268.03 2219.01,1271.46 2221.21,1274.84 \n",
" 2223.4,1278.17 2225.59,1281.46 2227.78,1284.7 2229.98,1287.88 2232.17,1291.02 2234.36,1294.11 2236.55,1297.15 2238.75,1300.14 2240.94,1303.08 2243.13,1305.97 \n",
" 2245.32,1308.82 2247.52,1311.61 2249.71,1314.35 2251.9,1317.03 2254.09,1319.67 2256.29,1322.26 2258.48,1324.8 2260.67,1327.28 2262.86,1329.71 2265.06,1332.1 \n",
" 2267.25,1334.43 2269.44,1336.71 2271.63,1338.93 2273.83,1341.11 2276.02,1343.23 2278.21,1345.3 2280.4,1347.31 2282.6,1349.28 2284.79,1351.19 2286.98,1353.05 \n",
" 2289.17,1354.85 2291.37,1356.61 2293.56,1358.31 2295.75,1359.95 2297.94,1361.55 2300.14,1363.09 2302.33,1364.57 2304.52,1366 2306.71,1367.38 2308.91,1368.71 \n",
" 2311.1,1369.98 2313.29,1371.2 2315.48,1372.36 2317.68,1373.47 2319.87,1374.52 2322.06,1375.53 2324.25,1376.47 2326.45,1377.37 2328.64,1378.2 2330.83,1378.99 \n",
" 2333.02,1379.72 2335.22,1380.39 2337.41,1381.02 2339.6,1381.58 2341.79,1382.1 2343.99,1382.55 2346.18,1382.96 2348.37,1383.31 2350.56,1383.6 2352.76,1383.84 \n",
" \n",
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" 184.38,788.809 186.572,794.155 188.765,799.497 190.957,804.837 193.15,810.173 195.342,815.504 197.535,820.832 199.727,826.156 201.92,831.474 204.112,836.788 \n",
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" 535.179,1348.83 537.371,1348.62 539.564,1348.35 541.756,1348.02 543.949,1347.62 546.141,1347.16 548.334,1346.65 550.526,1346.06 552.719,1345.42 554.911,1344.72 \n",
" 557.104,1343.95 559.296,1343.12 561.489,1342.23 563.681,1341.28 565.874,1340.27 568.066,1339.2 570.259,1338.07 572.451,1336.88 574.644,1335.62 576.836,1334.31 \n",
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" 688.653,1196.82 690.846,1192.95 693.038,1189.04 695.231,1185.09 697.423,1181.12 699.616,1177.1 701.808,1173.05 704.001,1168.97 706.193,1164.86 708.386,1160.71 \n",
" 710.578,1156.54 712.771,1152.33 714.963,1148.09 717.156,1143.81 719.348,1139.51 721.541,1135.18 723.733,1130.82 725.926,1126.43 728.118,1122.02 730.311,1117.57 \n",
" 732.503,1113.1 734.696,1108.61 736.888,1104.08 739.081,1099.53 741.273,1094.96 743.466,1090.36 745.658,1085.74 747.851,1081.09 750.043,1076.42 752.235,1071.73 \n",
" 754.428,1067.02 756.62,1062.28 758.813,1057.52 761.005,1052.74 763.198,1047.95 765.39,1043.13 767.583,1038.29 769.775,1033.43 771.968,1028.55 774.16,1023.66 \n",
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" 820.203,917.352 822.395,912.153 824.588,906.945 826.78,901.728 828.973,896.501 831.165,891.265 833.358,886.021 835.55,880.769 837.743,875.51 839.935,870.242 \n",
" 842.128,864.967 844.32,859.686 846.513,854.398 848.705,849.103 850.898,843.802 853.09,838.496 855.283,833.184 857.475,827.868 859.668,822.546 861.86,817.221 \n",
" 864.053,811.891 866.245,806.557 868.438,801.22 870.63,795.879 872.823,790.535 875.015,785.188 877.208,779.839 879.4,774.487 881.593,769.133 883.785,763.777 \n",
" 885.978,758.42 888.17,753.061 890.363,747.701 892.555,742.341 894.748,736.98 896.94,731.619 899.133,726.257 901.325,720.897 903.518,715.536 905.71,710.177 \n",
" 907.903,704.819 910.095,699.463 912.288,694.108 914.48,688.755 916.673,683.404 918.865,678.056 921.058,672.711 923.25,667.37 925.442,662.031 927.635,656.697 \n",
" 929.827,651.366 932.02,646.04 934.212,640.719 936.405,635.402 938.597,630.091 940.79,624.786 942.982,619.486 945.175,614.193 947.367,608.906 949.56,603.625 \n",
" 951.752,598.352 953.945,593.087 956.137,587.829 958.33,582.579 960.522,577.338 962.715,572.105 964.907,566.881 967.1,561.667 969.292,556.462 971.485,551.268 \n",
" 973.677,546.083 975.87,540.91 978.062,535.747 980.255,530.595 982.447,525.455 984.64,520.328 986.832,515.212 989.025,510.109 991.217,505.019 993.41,499.943 \n",
" 995.602,494.88 997.795,489.831 999.987,484.796 1002.18,479.776 1004.37,474.771 1006.56,469.782 1008.76,464.808 1010.95,459.85 1013.14,454.909 1015.33,449.984 \n",
" 1017.53,445.078 1019.72,440.189 1021.91,435.318 1024.1,430.466 1026.3,425.633 1028.49,420.82 1030.68,416.028 1032.87,411.256 1035.07,406.505 1037.26,401.775 \n",
" 1039.45,397.068 1041.64,392.383 1043.84,387.722 1046.03,383.083 1048.22,378.469 1050.41,373.879 1052.61,369.314 1054.8,364.775 1056.99,360.261 1059.18,355.774 \n",
" 1061.38,351.314 1063.57,346.88 1065.76,342.475 1067.95,338.098 1070.15,333.75 1072.34,329.431 1074.53,325.142 1076.72,320.883 1078.92,316.655 1081.11,312.459 \n",
" 1083.3,308.294 1085.49,304.161 1087.69,300.061 1089.88,295.994 1092.07,291.962 1094.26,287.963 1096.46,283.999 1098.65,280.071 1100.84,276.178 1103.03,272.322 \n",
" 1105.23,268.502 1107.42,264.72 1109.61,260.976 1111.8,257.27 1114,253.603 1116.19,249.975 1118.38,246.388 1120.57,242.84 1122.77,239.334 1124.96,235.87 \n",
" 1127.15,232.447 1129.34,229.067 1131.54,225.73 1133.73,222.436 1135.92,219.187 1138.11,215.983 1140.31,212.823 1142.5,209.71 1144.69,206.643 1146.88,203.622 \n",
" 1149.08,200.649 1151.27,197.724 1153.46,194.847 1155.65,192.02 1157.85,189.242 1160.04,186.512 1162.23,183.832 1164.42,181.201 1166.62,178.621 1168.81,176.091 \n",
" 1171,173.613 1173.19,171.187 1175.39,168.813 1177.58,166.492 1179.77,164.225 1181.96,162.011 1184.16,159.852 1186.35,157.748 1188.54,155.699 1190.73,153.706 \n",
" 1192.93,151.768 1195.12,149.888 1197.31,148.064 1199.5,146.298 1201.7,144.589 1203.89,142.939 1206.08,141.347 1208.27,139.813 1210.47,138.339 1212.66,136.924 \n",
" 1214.85,135.568 1217.04,134.273 1219.24,133.037 1221.43,131.862 1223.62,130.748 1225.81,129.694 1228.01,128.702 1230.2,127.771 1232.39,126.901 1234.58,126.093 \n",
" 1236.78,125.347 1238.97,124.663 1241.16,124.041 1243.35,123.481 1245.55,122.983 1247.74,122.548 1249.93,122.175 1252.12,121.865 1254.32,121.617 1256.51,121.432 \n",
" 1258.7,121.31 1260.89,121.251 1263.09,121.254 1265.28,121.32 1267.47,121.448 1269.66,121.64 1271.86,121.894 1274.05,122.21 1276.24,122.589 1278.43,123.03 \n",
" 1280.63,123.534 1282.82,124.1 1285.01,124.728 1287.2,125.418 1289.4,126.169 1291.59,126.982 1293.78,127.857 1295.97,128.793 1298.17,129.79 1300.36,130.848 \n",
" 1302.55,131.966 1304.74,133.145 1306.94,134.384 1309.13,135.683 1311.32,137.041 1313.51,138.458 1315.71,139.935 1317.9,141.47 1320.09,143.064 1322.28,144.715 \n",
" 1324.48,146.425 1326.67,148.191 1328.86,150.015 1331.05,151.894 1333.25,153.83 1335.44,155.822 1337.63,157.869 1339.82,159.97 1342.02,162.126 1344.21,164.336 \n",
" 1346.4,166.599 1348.59,168.917 1350.79,171.288 1352.98,173.712 1355.17,176.189 1357.36,178.718 1359.56,181.299 1361.75,183.931 1363.94,186.614 1366.13,189.347 \n",
" 1368.33,192.129 1370.52,194.961 1372.71,197.841 1374.9,200.77 1377.1,203.746 1379.29,206.769 1381.48,209.839 1383.67,212.955 1385.87,216.116 1388.06,219.323 \n",
" 1390.25,222.574 1392.44,225.869 1394.64,229.208 1396.83,232.589 1399.02,236.014 1401.21,239.48 1403.41,242.988 1405.6,246.537 1407.79,250.126 1409.98,253.755 \n",
" 1412.18,257.424 1414.37,261.132 1416.56,264.878 1418.75,268.662 1420.95,272.484 1423.14,276.342 1425.33,280.237 1427.52,284.168 1429.72,288.134 1431.91,292.135 \n",
" 1434.1,296.171 1436.29,300.24 1438.49,304.343 1440.68,308.479 1442.87,312.647 1445.06,316.847 1447.26,321.078 1449.45,325.34 1451.64,329.632 1453.83,333.955 \n",
" 1456.03,338.306 1458.22,342.686 1460.41,347.095 1462.6,351.531 1464.8,355.995 1466.99,360.485 1469.18,365.001 1471.37,369.544 1473.57,374.111 1475.76,378.703 \n",
" 1477.95,383.32 1480.14,387.96 1482.34,392.623 1484.53,397.309 1486.72,402.018 1488.91,406.747 1491.11,411.498 1493.3,416.27 1495.49,421.062 1497.68,425.874 \n",
" 1499.88,430.706 1502.07,435.557 1504.26,440.427 1506.45,445.316 1508.65,450.222 1510.84,455.147 1513.03,460.088 1515.22,465.047 1517.42,470.022 1519.61,475.013 \n",
" 1521.8,480.02 1523.99,485.043 1526.19,490.081 1528.38,495.133 1530.57,500.199 1532.76,505.28 1534.96,510.374 1537.15,515.481 1539.34,520.601 1541.53,525.734 \n",
" 1543.73,530.878 1545.92,536.035 1548.11,541.203 1550.3,546.381 1552.5,551.571 1554.69,556.771 1556.88,561.981 1559.07,567.201 1561.27,572.43 1563.46,577.668 \n",
" 1565.65,582.914 1567.84,588.169 1570.04,593.432 1572.23,598.703 1574.42,603.981 1576.61,609.266 1578.81,614.557 1581,619.855 1583.19,625.159 1585.38,630.469 \n",
" 1587.58,635.784 1589.77,641.104 1591.96,646.429 1594.15,651.759 1596.35,657.092 1598.54,662.43 1600.73,667.771 1602.92,673.115 1605.12,678.462 1607.31,683.812 \n",
" 1609.5,689.164 1611.69,694.518 1613.89,699.875 1616.08,705.232 1618.27,710.591 1620.46,715.95 1622.66,721.311 1624.85,726.671 1627.04,732.032 1629.23,737.392 \n",
" 1631.43,742.752 1633.62,748.112 1635.81,753.47 1638,758.827 1640.2,764.182 1642.39,769.536 1644.58,774.887 1646.77,780.237 1648.97,785.583 1651.16,790.927 \n",
" 1653.35,796.268 1655.54,801.605 1657.74,806.938 1659.93,812.268 1662.12,817.594 1664.31,822.915 1666.51,828.232 1668.7,833.544 1670.89,838.851 1673.08,844.153 \n",
" 1675.28,849.449 1677.47,854.739 1679.66,860.024 1681.85,865.302 1684.05,870.574 1686.24,875.839 1688.43,881.097 1690.62,886.348 1692.82,891.592 1695.01,896.827 \n",
" 1697.2,902.054 1699.39,907.272 1701.59,912.48 1703.78,917.679 1705.97,922.868 1708.16,928.046 1710.36,933.214 1712.55,938.37 1714.74,943.515 1716.93,948.649 \n",
" 1719.13,953.77 1721.32,958.878 1723.51,963.974 1725.7,969.056 1727.9,974.125 1730.09,979.18 1732.28,984.22 1734.47,989.246 1736.67,994.256 1738.86,999.251 \n",
" 1741.05,1004.23 1743.24,1009.19 1745.44,1014.14 1747.63,1019.07 1749.82,1023.98 1752.01,1028.87 1754.21,1033.74 1756.4,1038.6 1758.59,1043.44 1760.78,1048.25 \n",
" 1762.98,1053.05 1765.17,1057.83 1767.36,1062.58 1769.55,1067.31 1771.75,1072.03 1773.94,1076.71 1776.13,1081.38 1778.32,1086.02 1780.52,1090.64 1782.71,1095.24 \n",
" 1784.9,1099.81 1787.09,1104.36 1789.29,1108.88 1791.48,1113.37 1793.67,1117.84 1795.86,1122.28 1798.05,1126.69 1800.25,1131.08 1802.44,1135.43 1804.63,1139.76 \n",
" 1806.82,1144.06 1809.02,1148.33 1811.21,1152.56 1813.4,1156.77 1815.59,1160.95 1817.79,1165.09 1819.98,1169.2 1822.17,1173.28 1824.36,1177.32 1826.56,1181.34 \n",
" 1828.75,1185.31 1830.94,1189.25 1833.13,1193.16 1835.33,1197.03 1837.52,1200.86 1839.71,1204.65 1841.9,1208.41 1844.1,1212.13 1846.29,1215.81 1848.48,1219.45 \n",
" 1850.67,1223.05 1852.87,1226.61 1855.06,1230.13 1857.25,1233.61 1859.44,1237.05 1861.64,1240.45 1863.83,1243.81 1866.02,1247.12 1868.21,1250.4 1870.41,1253.63 \n",
" 1872.6,1256.81 1874.79,1259.95 1876.98,1263.04 1879.18,1266.09 1881.37,1269.09 1883.56,1272.04 1885.75,1274.95 1887.95,1277.8 1890.14,1280.61 1892.33,1283.37 \n",
" 1894.52,1286.07 1896.72,1288.73 1898.91,1291.33 1901.1,1293.88 1903.29,1296.38 1905.49,1298.83 1907.68,1301.22 1909.87,1303.56 1912.06,1305.85 1914.26,1308.08 \n",
" 1916.45,1310.25 1918.64,1312.37 1920.83,1314.44 1923.03,1316.45 1925.22,1318.4 1927.41,1320.29 1929.6,1322.13 1931.8,1323.91 1933.99,1325.63 1936.18,1327.29 \n",
" 1938.37,1328.89 1940.57,1330.44 1942.76,1331.92 1944.95,1333.35 1947.14,1334.72 1949.34,1336.02 1951.53,1337.27 1953.72,1338.45 1955.91,1339.58 1958.11,1340.64 \n",
" 1960.3,1341.64 1962.49,1342.58 1964.68,1343.46 1966.88,1344.28 1969.07,1345.04 1971.26,1345.73 1973.45,1346.37 1975.65,1346.94 1977.84,1347.45 1980.03,1347.89 \n",
" 1982.22,1348.28 1984.42,1348.6 1986.61,1348.86 1988.8,1349.05 1990.99,1349.19 1993.19,1349.26 1995.38,1349.27 1997.57,1349.22 1999.76,1349.1 2001.96,1348.92 \n",
" 2004.15,1348.68 2006.34,1348.38 2008.53,1348.02 2010.73,1347.59 2012.92,1347.1 2015.11,1346.55 2017.3,1345.94 2019.5,1345.26 2021.69,1344.53 2023.88,1343.73 \n",
" 2026.07,1342.87 2028.27,1341.95 2030.46,1340.97 2032.65,1339.93 2034.84,1338.83 2037.04,1337.67 2039.23,1336.45 2041.42,1335.17 2043.61,1333.83 2045.81,1332.43 \n",
" 2048,1330.97 2050.19,1329.46 2052.38,1327.88 2054.58,1326.25 2056.77,1324.56 2058.96,1322.82 2061.15,1321.01 2063.35,1319.15 2065.54,1317.23 2067.73,1315.26 \n",
" 2069.92,1313.23 2072.12,1311.14 2074.31,1309 2076.5,1306.8 2078.69,1304.55 2080.89,1302.25 2083.08,1299.89 2085.27,1297.48 2087.46,1295.01 2089.66,1292.5 \n",
" 2091.85,1289.93 2094.04,1287.31 2096.23,1284.64 2098.43,1281.92 2100.62,1279.15 2102.81,1276.33 2105,1273.47 2107.2,1270.55 2109.39,1267.59 2111.58,1264.58 \n",
" 2113.77,1261.52 2115.97,1258.42 2118.16,1255.27 2120.35,1252.08 2122.54,1248.84 2124.74,1245.56 2126.93,1242.23 2129.12,1238.86 2131.31,1235.45 2133.51,1232 \n",
" 2135.7,1228.5 2137.89,1224.96 2140.08,1221.39 2142.28,1217.77 2144.47,1214.11 2146.66,1210.41 2148.85,1206.68 2151.05,1202.91 2153.24,1199.1 2155.43,1195.25 \n",
" 2157.62,1191.36 2159.82,1187.44 2162.01,1183.48 2164.2,1179.49 2166.39,1175.47 2168.59,1171.41 2170.78,1167.31 2172.97,1163.18 2175.16,1159.02 2177.36,1154.83 \n",
" 2179.55,1150.61 2181.74,1146.36 2183.93,1142.07 2186.13,1137.75 2188.32,1133.41 2190.51,1129.04 2192.7,1124.63 2194.9,1120.2 2197.09,1115.75 2199.28,1111.26 \n",
" 2201.47,1106.75 2203.67,1102.22 2205.86,1097.65 2208.05,1093.07 2210.24,1088.45 2212.44,1083.82 2214.63,1079.16 2216.82,1074.48 2219.01,1069.78 2221.21,1065.05 \n",
" 2223.4,1060.3 2225.59,1055.54 2227.78,1050.75 2229.98,1045.94 2232.17,1041.12 2234.36,1036.27 2236.55,1031.41 2238.75,1026.52 2240.94,1021.62 2243.13,1016.7 \n",
" 2245.32,1011.76 2247.52,1006.81 2249.71,1001.84 2251.9,996.854 2254.09,991.851 2256.29,986.834 2258.48,981.801 2260.67,976.754 2262.86,971.693 2265.06,966.618 \n",
" 2267.25,961.529 2269.44,956.427 2271.63,951.313 2273.83,946.186 2276.02,941.047 2278.21,935.896 2280.4,930.735 2282.6,925.562 2284.79,920.378 2286.98,915.185 \n",
" 2289.17,909.981 2291.37,904.768 2293.56,899.545 2295.75,894.314 2297.94,889.074 2300.14,883.825 2302.33,878.569 2304.52,873.305 2306.71,868.034 2308.91,862.756 \n",
" 2311.1,857.471 2313.29,852.179 2315.48,846.882 2317.68,841.579 2319.87,836.27 2322.06,830.956 2324.25,825.637 2326.45,820.313 2328.64,814.985 2330.83,809.653 \n",
" 2333.02,804.318 2335.22,798.978 2337.41,793.636 2339.6,788.29 2341.79,782.942 2343.99,777.591 2346.18,772.238 2348.37,766.883 2350.56,761.526 2352.76,756.168 \n",
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],
"source": [
"# Main\n",
"#\n",
"g = 9.81; l = 10; k = 0.;\n",
"p = [g,l,k] # constantes\n",
"theta0 = pi/3\n",
"t0 = 0.\n",
"tf = 3*pi*sqrt(l/g)*(1 + theta0^2/16 + theta0^4/3072) # 2*approximation de la période\n",
"tspan = (t0,tf) # instant initial et terminal\n",
"x0 = [theta0,0] # état initial\n",
"prob = ODEProblem(pendule2!,x0,tspan,p) # défini le problème en Julia\n",
"sol = solve(prob) # réalise l'intégration numérique\n",
"plot(sol, label = [\"x_1(t)\" \"x_2(t)\"]) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Diagrammes de phases"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
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" 2073.44,436.343 2077.57,440.542 2081.64,444.745 2085.66,448.948 2089.62,453.148 2093.52,457.345 2097.36,461.536 2101.14,465.718 2104.87,469.891 2108.54,474.052 \n",
" 2112.14,478.199 2115.7,482.331 2119.19,486.446 2122.63,490.544 2126,494.622 2129.33,498.679 2132.59,502.715 2135.8,506.727 2138.96,510.714 2142.06,514.676 \n",
" 2145.1,518.612 2148.09,522.521 2151.03,526.404 2153.91,530.258 2156.74,534.085 2159.51,537.883 2162.23,541.653 2164.91,545.394 2167.52,549.106 2170.09,552.788 \n",
" 2172.61,556.44 2175.07,560.063 2177.49,563.655 2179.86,567.218 2182.17,570.75 2184.44,574.252 2186.66,577.724 2188.83,581.165 2190.95,584.577 2193.03,587.958 \n",
" 2195.06,591.309 2197.04,594.63 2198.97,597.922 2200.86,601.184 2202.71,604.417 2204.51,607.621 2206.26,610.796 2207.97,613.943 2209.64,617.062 2211.27,620.153 \n",
" 2212.85,623.218 2214.38,626.256 2215.88,629.268 2217.33,632.254 2218.75,635.215 2220.12,638.152 2221.45,641.065 2222.74,643.956 2223.99,646.823 2225.2,649.67 \n",
" 2226.37,652.495 2227.51,655.299 2228.6,658.083 2229.66,660.847 2230.68,663.592 2231.66,666.319 2232.6,669.028 2233.5,671.719 2234.37,674.394 2235.2,677.054 \n",
" 2235.99,679.697 2236.75,682.327 2237.47,684.942 2238.15,687.544 2238.8,690.133 2239.41,692.71 2239.98,695.275 2240.52,697.83 2241.03,700.375 2241.5,702.91 \n",
" 2241.93,705.437 2242.33,707.955 2242.69,710.466 2243.02,712.971 2243.31,715.469 2243.57,717.961 2243.79,720.449 2243.98,722.933 2244.14,725.413 2244.25,727.891 \n",
" 2244.34,730.366 2244.39,732.84 2244.41,735.313 2244.39,737.786 2244.33,740.26 2244.25,742.735 2244.12,745.212 2243.97,747.692 2243.78,750.176 2243.55,752.663 \n",
" 2243.29,755.155 2243,757.653 2242.67,760.157 2242.3,762.667 2241.9,765.186 2241.47,767.712 2241,770.247 2240.49,772.791 2239.96,775.345 2239.38,777.91 \n",
" 2238.77,780.486 2238.12,783.075 2237.44,785.676 2236.72,788.291 2235.96,790.92 2235.17,793.564 2234.34,796.224 2233.47,798.899 2232.57,801.592 2231.62,804.302 \n",
" 2230.64,807.03 2229.62,809.776 2228.57,812.542 2227.47,815.328 2226.34,818.134 2225.16,820.961 2223.95,823.809 2222.7,826.68 2221.4,829.573 2220.07,832.489 \n",
" 2218.7,835.428 2217.28,838.392 2215.82,841.381 2214.32,844.394 2212.78,847.433 2211.2,850.499 2209.57,853.59 2207.9,856.709 2206.19,859.855 2204.43,863.029 \n",
" 2202.63,866.231 2200.78,869.462 2198.89,872.722 2196.96,876.011 2194.97,879.33 2192.95,882.677 2190.87,886.052 2188.75,889.457 2186.58,892.89 2184.37,896.354 \n",
" 2182.1,899.848 2179.79,903.372 2177.43,906.928 2175.02,910.515 2172.56,914.133 2170.04,917.782 2167.48,921.463 2164.86,925.174 2162.19,928.917 2159.47,932.69 \n",
" 2156.69,936.493 2153.86,940.326 2150.98,944.189 2148.04,948.079 2145.05,951.998 2142,955.943 2138.9,959.915 2135.74,963.912 2132.52,967.933 2129.25,971.978 \n",
" 2125.93,976.044 2122.54,980.13 2119.1,984.236 2115.6,988.36 2112.04,992.5 2108.43,996.654 2104.76,1000.82 2101.03,1005 2097.24,1009.19 2093.39,1013.38 \n",
" 2089.49,1017.58 2085.53,1021.79 2081.51,1025.99 2077.43,1030.2 2073.3,1034.4 2069.1,1038.59 2064.85,1042.78 2060.54,1046.96 2056.17,1051.12 2051.75,1055.26 \n",
" 2047.26,1059.39 2042.72,1063.49 2038.12,1067.57 2033.47,1071.63 2028.75,1075.66 2023.99,1079.66 2019.16,1083.62 2014.28,1087.55 2009.35,1091.43 2004.36,1095.26 \n",
" 1999.32,1099.04 1994.23,1102.76 1989.08,1106.41 1983.89,1110 1978.65,1113.51 1973.36,1116.95 1968.02,1120.31 1962.64,1123.59 1957.21,1126.77 1951.74,1129.87 \n",
" 1946.23,1132.86 1940.68,1135.76 1935.08,1138.56 1929.45,1141.25 1923.78,1143.83 1918.08,1146.3 1912.35,1148.66 1906.58,1150.9 1900.78,1153.01 1894.95,1155.01 \n",
" 1889.09,1156.88 1883.21,1158.62 1877.3,1160.23 1871.38,1161.71 1865.43,1163.06 1859.46,1164.27 1853.48,1165.35 1847.48,1166.28 1841.47,1167.08 1835.45,1167.73 \n",
" 1829.42,1168.24 1823.38,1168.6 1817.34,1168.82 1811.3,1168.9 1805.25,1168.83 1799.21,1168.61 1793.18,1168.24 1787.15,1167.72 1781.13,1167.05 1775.12,1166.24 \n",
" 1769.13,1165.27 1763.15,1164.15 1757.19,1162.88 1751.25,1161.47 1745.33,1159.92 1739.43,1158.24 1733.56,1156.43 1727.71,1154.48 1721.89,1152.42 1716.1,1150.23 \n",
" 1710.34,1147.93 1704.61,1145.51 1698.92,1142.98 1693.27,1140.35 1687.65,1137.61 1682.07,1134.77 1676.53,1131.84 1671.03,1128.81 1665.57,1125.7 1660.16,1122.5 \n",
" 1654.79,1119.21 1649.47,1115.85 1644.19,1112.42 1638.97,1108.91 1633.79,1105.34 1628.66,1101.7 1623.58,1097.99 1618.55,1094.24 1613.58,1090.42 1608.66,1086.56 \n",
" 1603.79,1082.64 1598.98,1078.69 1594.22,1074.69 1589.52,1070.65 1584.87,1066.58 1580.29,1062.48 1575.75,1058.35 1571.28,1054.2 1566.86,1050.03 1562.51,1045.83 \n",
" 1558.21,1041.63 1553.97,1037.41 1549.78,1033.18 1545.66,1028.95 1541.6,1024.72 1537.6,1020.49 1533.65,1016.27 1529.77,1012.05 1525.94,1007.84 1522.17,1003.65 \n",
" 1518.46,999.479 1514.81,995.321 1511.22,991.177 1507.69,987.05 1504.21,982.94 1500.79,978.849 1497.43,974.777 1494.12,970.725 1490.87,966.695 1487.68,962.686 \n",
" 1484.54,958.701 1481.45,954.74 1478.43,950.803 1475.45,946.891 1472.53,943.005 1469.66,939.145 1466.85,935.313 1464.09,931.508 1461.38,927.732 1458.73,923.983 \n",
" 1456.12,920.264 1453.57,916.574 1451.07,912.914 1448.62,909.283 1446.22,905.682 1443.87,902.112 1441.57,898.572 1439.32,895.062 1437.12,891.583 1434.96,888.134 \n",
" 1432.86,884.716 1430.8,881.328 1428.79,877.97 1426.83,874.643 1424.91,871.345 1423.04,868.076 1421.21,864.837 1419.43,861.627 1417.69,858.445 1416,855.292 \n",
" 1414.35,852.165 1412.75,849.066 1411.19,845.994 1409.67,842.947 1408.19,839.925 1406.76,836.928 1405.36,833.955 1404.01,831.004 1402.7,828.077 1401.42,825.172 \n",
" 1400.19,822.29 1398.99,819.429 1397.84,816.59 1396.72,813.77 1395.65,810.97 1394.61,808.19 1393.61,805.428 1392.65,802.684 1391.73,799.957 1390.84,797.246 \n",
" 1389.99,794.552 1389.18,791.873 1388.41,789.208 1387.67,786.558 1386.97,783.921 1386.31,781.297 1385.68,778.685 1385.09,776.085 1384.54,773.495 1384.02,770.915 \n",
" 1383.54,768.346 1383.1,765.785 1382.69,763.232 1382.32,760.687 1381.98,758.148 1381.68,755.616 1381.41,753.09 1381.18,750.569 1380.99,748.052 1380.83,745.538 \n",
" 1380.7,743.028 1380.61,740.519 1380.56,738.013 1380.54,735.507 1380.55,733.001 1380.61,730.495 1380.69,727.988 1380.81,725.479 1380.97,722.968 1381.16,720.454 \n",
" 1381.39,717.935 1381.65,715.412 1381.95,712.884 1382.28,710.35 1382.65,707.81 1383.06,705.262 1383.5,702.706 1383.97,700.141 1384.48,697.567 1385.03,694.983 \n",
" 1385.61,692.388 1386.23,689.782 1386.88,687.163 1387.57,684.531 1388.3,681.886 1389.06,679.226 1389.86,676.551 1390.7,673.861 1391.57,671.156 1392.48,668.434 \n",
" 1393.43,665.695 1394.42,662.938 1395.44,660.162 1396.51,657.368 1397.61,654.554 1398.76,651.719 1399.94,648.863 1401.16,645.985 1402.42,643.085 1403.73,640.162 \n",
" 1405.07,637.216 1406.46,634.245 1407.89,631.251 1409.36,628.231 1410.87,625.186 1412.42,622.115 1414.02,619.018 1415.66,615.894 1417.35,612.744 1419.07,609.566 \n",
" 1420.85,606.36 1422.67,603.126 1424.53,599.864 1426.44,596.573 1428.39,593.253 1430.39,589.904 1432.44,586.526 1434.54,583.118 1436.68,579.681 1438.87,576.214 \n",
" 1441.11,572.716 1443.4,569.189 1445.74,565.631 1448.12,562.043 1450.56,558.425 1453.05,554.776 1455.59,551.097 1458.18,547.388 1460.82,543.652 1463.51,539.889 \n",
" 1466.25,536.099 1469.05,532.281 1471.89,528.437 1474.8,524.565 1477.75,520.667 1480.76,516.743 1483.83,512.794 1486.95,508.82 1490.13,504.822 1493.36,500.8 \n",
" 1496.65,496.757 1500,492.692 1503.4,488.606 1506.87,484.502 1510.39,480.38 1513.97,476.242 1517.61,472.09 1521.31,467.924 1525.06,463.747 1528.88,459.56 \n",
" 1532.75,455.366 1536.68,451.166 1540.67,446.963 1544.72,442.759 1548.83,438.555 1553,434.355 1557.23,430.161 1561.51,425.975 1565.85,421.8 1570.25,417.64 \n",
" 1574.71,413.496 1579.22,409.372 1583.79,405.271 1588.42,401.197 1593.1,397.151 1597.84,393.139 1602.63,389.163 1607.48,385.226 1612.38,381.334 1617.34,377.488 \n",
" 1622.34,373.694 1627.4,369.954 1632.51,366.274 1637.67,362.658 1642.88,359.109 1648.14,355.632 1653.44,352.231 1658.8,348.911 1664.2,345.677 1669.64,342.534 \n",
" 1675.13,339.485 1680.66,336.537 1686.23,333.685 1691.84,330.933 1697.49,328.283 1703.18,325.74 1708.9,323.308 1714.65,320.991 1720.43,318.792 1726.24,316.714 \n",
" 1732.07,314.761 1737.93,312.936 1743.82,311.241 1749.72,309.679 1755.65,308.251 1761.59,306.962 1767.55,305.811 1773.52,304.801 1779.51,303.933 1785.5,303.209 \n",
" 1791.5,302.63 1797.51,302.197 1803.53,301.91 1809.55,301.77 1815.57,301.777 1821.59,301.931 1827.61,302.233 1833.62,302.681 1839.63,303.276 1845.63,304.016 \n",
" 1851.62,304.901 1857.6,305.93 1863.56,307.101 1869.51,308.413 1875.45,309.864 1881.36,311.452 1887.26,313.176 1893.13,315.032 1898.98,317.018 1904.8,319.131 \n",
" 1910.59,321.37 1916.35,323.729 1922.09,326.207 1927.78,328.8 1933.45,331.503 1939.07,334.313 1944.66,337.226 1950.2,340.237 1955.71,343.342 1961.17,346.537 \n",
" 1966.58,349.815 1971.94,353.173 1977.25,356.604 1982.51,360.104 1987.72,363.666 1992.87,367.285 1997.97,370.966 2003.01,374.706 2008,378.5 2012.94,382.345 \n",
" 2017.83,386.236 2022.66,390.172 2027.43,394.146 2032.15,398.157 2036.82,402.201 2041.42,406.274 2045.98,410.373 2050.47,414.495 2054.91,418.638 2059.29,422.797 \n",
" 2063.61,426.97 2067.88,431.155 2072.08,435.348 2076.23,439.548 2080.32,443.751 2084.35,447.955 2088.33,452.159 2092.24,456.358 2096.1,460.553 2099.9,464.74 \n",
" 2103.64,468.917 2107.32,473.084 2110.95,477.237 2114.51,481.376 2118.02,485.498 2121.47,489.603 2124.86,493.689 2128.2,497.754 2131.48,501.798 2134.7,505.82 \n",
" 2137.87,509.817 2140.98,513.79 2144.04,517.738 2147.04,521.659 2149.99,525.554 2152.88,529.422 2155.72,533.262 2158.5,537.073 2161.24,540.855 2163.92,544.606 \n",
" 2166.55,548.326 2169.13,552.016 2171.65,555.676 2174.13,559.305 2176.56,562.904 2178.93,566.472 2181.26,570.011 2183.54,573.519 2185.77,576.997 2187.95,580.446 \n",
" 2190.09,583.864 2192.17,587.254 2194.21,590.614 2196.21,593.945 2198.15,597.247 2200.06,600.521 2201.91,603.766 2203.72,606.983 2205.49,610.173 2207.21,613.335 \n",
" 2208.89,616.469 2210.52,619.577 2212.11,622.659 2213.66,625.715 2215.17,628.744 2216.63,631.749 2218.05,634.729 2219.43,637.684 2220.77,640.616 2222.07,643.524 \n",
" 2223.32,646.409 2224.54,649.272 2225.72,652.113 2226.85,654.933 2227.95,657.731 2229.01,660.51 2230.03,663.269 2231.01,666.009 2231.95,668.731 2232.86,671.435 \n",
" 2233.72,674.121 2234.55,676.792 2235.35,679.447 2236.1,682.086 2236.82,684.712 2237.5,687.324 2238.15,689.924 2238.76,692.511 2239.34,695.087 2239.88,697.653 \n",
" 2240.39,700.21 2240.86,702.757 2241.29,705.295 2241.69,707.825 2242.06,710.347 2242.39,712.863 2242.68,715.372 2242.94,717.876 2243.17,720.375 2243.36,722.87 \n",
" 2243.52,725.362 2243.64,727.851 2243.72,730.338 2243.78,732.824 2243.79,735.309 2243.78,737.795 2243.73,740.281 2243.64,742.769 2243.52,745.259 2243.36,747.751 \n",
" 2243.17,750.248 2242.94,752.748 2242.68,755.253 2242.39,757.764 2242.06,760.281 2241.69,762.804 2241.29,765.336 2240.85,767.875 2240.38,770.423 2239.87,772.981 \n",
" 2239.33,775.549 2238.75,778.127 2238.13,780.718 2237.48,783.32 2236.79,785.935 2236.07,788.563 2235.31,791.205 2234.51,793.862 2233.67,796.534 2232.8,799.223 \n",
" 2231.89,801.927 2230.94,804.65 2229.96,807.389 2228.93,810.148 2227.87,812.925 2226.77,815.722 2225.63,818.54 2224.45,821.378 2223.23,824.238 2221.97,827.121 \n",
" 2220.67,830.025 2219.33,832.951 2217.95,835.899 2216.53,838.87 2215.07,841.866 2213.57,844.886 2212.03,847.932 2210.44,851.005 2208.81,854.104 2207.13,857.231 \n",
" 2205.42,860.386 2203.65,863.57 2201.85,866.783 2199.99,870.026 2198.1,873.298 2196.15,876.601 2194.16,879.934 2192.12,883.298 2190.04,886.693 2187.9,890.118 \n",
" 2185.72,893.575 2183.49,897.063 2181.21,900.582 2178.88,904.132 2176.51,907.713 2174.08,911.325 2171.6,914.968 2169.07,918.64 2166.49,922.343 2163.85,926.075 \n",
" 2161.17,929.836 2158.43,933.626 2155.64,937.445 2152.79,941.291 2149.9,945.164 2146.94,949.063 2143.94,952.988 2140.88,956.939 2137.76,960.913 2134.59,964.911 \n",
" 2131.37,968.932 2128.08,972.974 2124.75,977.036 2121.35,981.118 2117.9,985.219 2114.39,989.337 2110.82,993.471 2107.2,997.62 2103.52,1001.78 2099.78,1005.96 \n",
" 2095.98,1010.14 2092.12,1014.35 2088.21,1018.56 2084.23,1022.77 2080.2,1026.99 2076.11,1031.21 2071.95,1035.43 2067.74,1039.64 2063.48,1043.84 2059.15,1048.03 \n",
" 2054.76,1052.2 2050.32,1056.35 2045.82,1060.47 2041.26,1064.57 2036.65,1068.64 2031.97,1072.68 2027.25,1076.68 2022.47,1080.64 2017.63,1084.56 2012.74,1088.42 \n",
" 2007.79,1092.24 2002.79,1096.01 1997.74,1099.72 1992.64,1103.37 1987.49,1106.96 1982.29,1110.48 1977.04,1113.93 1971.75,1117.3 1966.4,1120.6 1961.01,1123.82 \n",
" 1955.58,1126.96 1950.11,1130.01 1944.59,1132.97 1939.03,1135.84 1933.43,1138.61 1927.8,1141.28 1922.13,1143.85 1916.42,1146.31 1910.68,1148.66 1904.91,1150.9 \n",
" 1899.11,1153.02 1893.28,1155.02 1887.42,1156.9 1881.54,1158.66 1875.63,1160.28 1869.7,1161.77 1863.76,1163.13 1857.79,1164.34 1851.81,1165.42 1845.81,1166.34 \n",
" 1839.8,1167.12 1833.78,1167.75 1827.76,1168.22 1821.73,1168.53 1815.69,1168.7 1809.66,1168.73 1803.62,1168.61 1797.59,1168.34 1791.56,1167.92 1785.54,1167.36 \n",
" 1779.53,1166.65 1773.53,1165.79 1767.54,1164.8 1761.56,1163.66 1755.61,1162.39 1749.67,1160.97 1743.75,1159.43 1737.85,1157.74 1731.98,1155.93 1726.14,1153.99 \n",
" \n",
" \"/>\n",
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" 1487.06,735.266 1487.1,730.498 1487.22,725.729 1487.42,720.959 1487.7,716.186 1488.05,711.411 1488.49,706.632 1489,701.849 1489.6,697.062 1490.27,692.268 \n",
" 1491.03,687.469 1491.86,682.663 1492.78,677.85 1493.77,673.029 1494.84,668.201 1496,663.363 1497.23,658.517 1498.55,653.661 1499.94,648.795 1501.42,643.92 \n",
" 1502.98,639.034 1504.62,634.138 1506.34,629.232 1508.14,624.316 1510.02,619.389 1511.99,614.452 1514.04,609.506 1516.17,604.55 1518.38,599.584 1520.68,594.611 \n",
" 1523.05,589.629 1525.51,584.64 1528.06,579.644 1530.68,574.642 1533.39,569.636 1536.19,564.626 1539.06,559.614 1542.02,554.601 1545.06,549.587 1548.19,544.576 \n",
" 1551.4,539.569 1554.69,534.568 1558.07,529.574 1561.53,524.59 1565.07,519.617 1568.69,514.66 1572.4,509.719 1576.18,504.798 1580.05,499.9 1584,495.027 \n",
" 1588.03,490.182 1592.14,485.368 1596.33,480.589 1600.6,475.849 1604.95,471.151 1609.38,466.501 1613.88,461.901 1618.46,457.356 1623.11,452.869 1627.84,448.446 \n",
" 1632.64,444.09 1637.51,439.805 1642.46,435.597 1647.47,431.468 1652.55,427.425 1657.7,423.471 1662.91,419.611 1668.18,415.849 1673.52,412.191 1678.92,408.641 \n",
" 1684.37,405.203 1689.88,401.884 1695.44,398.687 1701.06,395.618 1706.73,392.678 1712.44,389.87 1718.2,387.2 1724.01,384.672 1729.85,382.291 1735.73,380.061 \n",
" 1741.65,377.986 1747.59,376.07 1753.57,374.315 1759.58,372.727 1765.6,371.306 1771.65,370.056 1777.72,368.978 1783.81,368.076 1789.91,367.349 1796.02,366.799 \n",
" 1802.13,366.429 1808.25,366.237 1814.38,366.224 1820.5,366.391 1826.62,366.737 1832.74,367.262 1838.84,367.964 1844.94,368.843 1851.01,369.897 1857.08,371.125 \n",
" 1863.12,372.524 1869.14,374.091 1875.13,375.825 1881.09,377.723 1887.02,379.78 1892.92,381.993 1898.78,384.359 1904.59,386.873 1910.37,389.531 1916.09,392.328 \n",
" 1921.77,395.259 1927.4,398.318 1932.97,401.502 1938.49,404.809 1943.95,408.235 1949.35,411.775 1954.69,415.423 1959.97,419.175 1965.19,423.027 1970.35,426.973 \n",
" 1975.43,431.009 1980.45,435.13 1985.4,439.332 1990.28,443.61 1995.09,447.96 1999.83,452.377 2004.49,456.858 2009.08,461.398 2013.59,465.993 2018.02,470.638 \n",
" 2022.38,475.331 2026.66,480.066 2030.86,484.841 2034.98,489.651 2039.02,494.492 2042.98,499.362 2046.86,504.257 2050.65,509.175 2054.36,514.112 2058,519.067 \n",
" 2061.55,524.037 2065.01,529.019 2068.4,534.011 2071.7,539.012 2074.92,544.019 2078.05,549.03 2081.1,554.044 2084.07,559.059 2086.96,564.074 2089.76,569.086 \n",
" 2092.48,574.095 2095.12,579.099 2097.67,584.097 2100.14,589.089 2102.53,594.073 2104.84,599.049 2107.06,604.016 2109.2,608.973 2111.25,613.921 2113.23,618.858 \n",
" 2115.12,623.784 2116.93,628.7 2118.66,633.605 2120.31,638.5 2121.87,643.385 2123.36,648.259 2124.76,653.125 2126.09,657.981 2127.33,662.826 2128.49,667.661 \n",
" 2129.58,672.486 2130.58,677.302 2131.5,682.11 2132.35,686.911 2133.11,691.706 2133.79,696.495 2134.4,701.279 2134.92,706.059 2135.37,710.836 2135.74,715.609 \n",
" 2136.02,720.381 2136.23,725.152 2136.36,729.922 2136.41,734.692 2136.38,739.463 2136.27,744.235 2136.08,749.008 2135.81,753.785 2135.46,758.564 2135.03,763.347 \n",
" 2134.53,768.134 2133.94,772.925 2133.28,777.722 2132.53,782.524 2131.71,787.333 2130.8,792.148 2129.82,796.97 2128.75,801.799 2127.61,806.637 2126.38,811.482 \n",
" 2125.07,816.336 2123.69,821.2 2122.22,826.072 2120.67,830.954 2119.04,835.846 2117.33,840.749 2115.54,845.662 2113.66,850.585 2111.71,855.52 2109.67,860.464 \n",
" 2107.55,865.417 2105.35,870.379 2103.07,875.348 2100.7,880.325 2098.26,885.309 2095.73,890.3 2093.11,895.297 2090.41,900.298 2087.63,905.303 2084.77,910.311 \n",
" 2081.82,915.319 2078.79,920.328 2075.67,925.335 2072.47,930.338 2069.19,935.336 2065.82,940.327 2062.37,945.308 2058.83,950.277 2055.21,955.233 2051.51,960.172 \n",
" 2047.73,965.092 2043.87,969.99 2039.92,974.864 2035.9,979.709 2031.79,984.524 2027.6,989.305 2023.34,994.049 2019,998.751 2014.58,1003.41 2010.09,1008.02 \n",
" 2005.52,1012.58 2000.87,1017.08 1996.15,1021.52 1991.36,1025.89 1986.5,1030.2 1981.57,1034.43 1976.57,1038.58 1971.5,1042.65 1966.37,1046.64 1961.17,1050.53 \n",
" 1955.9,1054.32 1950.58,1058 1945.19,1061.58 1939.75,1065.04 1934.24,1068.39 1928.69,1071.6 1923.07,1074.69 1917.41,1077.65 1911.7,1080.47 1905.95,1083.16 \n",
" 1900.15,1085.71 1894.31,1088.11 1888.44,1090.37 1882.53,1092.46 1876.59,1094.4 1870.62,1096.18 1864.63,1097.8 1858.61,1099.25 1852.57,1100.53 1846.51,1101.64 \n",
" 1840.44,1102.57 1834.35,1103.33 1828.25,1103.92 1822.15,1104.33 1816.04,1104.56 1809.92,1104.61 1803.81,1104.49 1797.7,1104.18 1791.59,1103.7 1785.49,1103.04 \n",
" 1779.41,1102.21 1773.33,1101.19 1767.27,1100.01 1761.23,1098.65 1755.22,1097.12 1749.22,1095.42 1743.25,1093.56 1737.31,1091.53 1731.4,1089.34 1725.53,1086.99 \n",
" 1719.69,1084.49 1713.9,1081.85 1708.14,1079.05 1702.43,1076.11 1696.77,1073.04 1691.16,1069.83 1685.6,1066.5 1680.1,1063.05 1674.65,1059.48 1669.27,1055.8 \n",
" 1663.95,1052.01 1658.69,1048.13 1653.51,1044.16 1648.4,1040.11 1643.36,1035.98 1638.4,1031.78 1633.51,1027.51 1628.69,1023.16 1623.95,1018.75 1619.27,1014.27 \n",
" 1614.68,1009.73 1610.16,1005.14 1605.72,1000.49 1601.35,995.805 1597.06,991.072 1592.85,986.3 1588.72,981.492 1584.67,976.651 1580.7,971.782 1576.81,966.886 \n",
" 1573.01,961.967 1569.28,957.029 1565.63,952.073 1562.07,947.102 1558.59,942.119 1555.2,937.125 1551.89,932.124 1548.66,927.117 1545.51,922.107 1542.45,917.094 \n",
" 1539.47,912.081 1536.57,907.069 1533.76,902.059 1531.03,897.053 1528.39,892.051 1525.83,887.055 1523.35,882.066 1520.95,877.084 1518.64,872.11 1516.41,867.144 \n",
" 1514.26,862.191 1512.19,857.25 1510.2,852.321 1508.3,847.403 1506.48,842.497 1504.74,837.601 1503.08,832.715 1501.5,827.84 1500,822.974 1498.58,818.116 \n",
" 1497.25,813.268 1495.99,808.427 1494.82,803.594 1493.72,798.768 1492.71,793.949 1491.77,789.136 1490.92,784.329 1490.14,779.527 1489.45,774.73 1488.83,769.938 \n",
" 1488.29,765.149 1487.84,760.363 1487.46,755.581 1487.16,750.8 1486.94,746.022 1486.8,741.245 1486.74,736.468 1486.76,731.692 1486.86,726.916 1487.04,722.138 \n",
" 1487.3,717.36 1487.63,712.579 1488.05,707.796 1488.55,703.011 1489.12,698.221 1489.78,693.428 1490.51,688.629 1491.33,683.826 1492.22,679.017 1493.2,674.201 \n",
" 1494.25,669.378 1495.39,664.548 1496.6,659.71 1497.9,654.863 1499.28,650.006 1500.73,645.14 1502.27,640.262 1503.89,635.374 1505.59,630.474 1507.37,625.563 \n",
" 1509.23,620.643 1511.17,615.716 1513.2,610.78 1515.3,605.836 1517.49,600.883 1519.75,595.923 1522.11,590.955 1524.54,585.98 1527.06,580.998 1529.66,576.011 \n",
" 1532.35,571.018 1535.12,566.022 1537.97,561.023 1540.91,556.023 1543.93,551.023 1547.04,546.024 1550.23,541.028 1553.5,536.037 1556.86,531.053 1560.3,526.077 \n",
" 1563.83,521.113 1567.44,516.162 1571.13,511.226 1574.9,506.308 1578.75,501.411 1582.69,496.538 1586.7,491.691 1590.8,486.874 1594.97,482.09 1599.23,477.341 \n",
" 1603.56,472.632 1607.97,467.965 1612.45,463.346 1617.01,458.776 1621.64,454.261 1626.35,449.805 1631.13,445.411 1635.98,441.083 1640.9,436.827 1645.88,432.647 \n",
" 1650.94,428.547 1656.06,424.533 1661.25,420.609 1666.5,416.78 1671.81,413.052 1677.18,409.43 1682.61,405.918 1688.1,402.524 1693.64,399.252 1699.24,396.109 \n",
" 1704.89,393.1 1710.59,390.231 1716.34,387.509 1722.14,384.94 1727.98,382.524 1733.85,380.26 1739.77,378.151 1745.71,376.201 1751.69,374.412 1757.69,372.786 \n",
" 1763.72,371.327 1769.76,370.035 1775.83,368.914 1781.91,367.964 1788,367.187 1794.11,366.585 1800.22,366.157 1806.34,365.905 1812.45,365.829 1818.57,365.929 \n",
" 1824.68,366.205 1830.79,366.657 1836.89,367.285 1842.98,368.087 1849.05,369.063 1855.1,370.212 1861.14,371.532 1867.16,373.02 1873.15,374.677 1879.11,376.498 \n",
" 1885.05,378.482 1890.95,380.627 1896.82,382.929 1902.65,385.385 1908.45,387.992 1914.2,390.746 1919.9,393.643 1925.57,396.68 1931.18,399.853 1936.74,403.155 \n",
" 1942.25,406.584 1947.7,410.134 1953.1,413.799 1958.43,417.574 1963.7,421.454 1968.91,425.432 1974.05,429.503 1979.12,433.659 1984.12,437.895 1989.04,442.204 \n",
" 1993.89,446.577 1998.66,451.009 2003.35,455.491 2007.97,460.018 2012.5,464.6 2016.95,469.233 2021.33,473.914 2025.63,478.638 2029.85,483.403 2034,488.204 \n",
" 2038.06,493.039 2042.04,497.904 2045.94,502.796 2049.76,507.711 2053.5,512.648 2057.16,517.603 2060.74,522.574 2064.23,527.557 2067.64,532.552 2070.97,537.555 \n",
" 2074.21,542.564 2077.37,547.578 2080.45,552.594 2083.45,557.611 2086.36,562.628 2089.19,567.642 2091.93,572.652 2094.59,577.657 2097.17,582.656 2099.67,587.648 \n",
" 2102.08,592.632 2104.4,597.608 2106.65,602.574 2108.81,607.531 2110.89,612.477 2112.89,617.413 2114.8,622.339 2116.64,627.254 2118.39,632.159 2120.06,637.054 \n",
" 2121.65,641.939 2123.16,646.815 2124.58,651.681 2125.93,656.529 2127.2,661.361 2128.39,666.178 2129.5,670.981 2130.53,675.773 2131.48,680.554 2132.35,685.327 \n",
" 2133.14,690.091 2133.85,694.85 2134.48,699.604 2135.03,704.354 2135.51,709.102 2135.9,713.848 2136.21,718.594 2136.45,723.341 2136.6,728.089 2136.68,732.839 \n",
" 2136.67,737.594 2136.59,742.352 2136.42,747.115 2136.18,751.884 2135.86,756.659 2135.46,761.441 2134.97,766.231 2134.41,771.029 2133.77,775.835 2133.05,780.649 \n",
" 2132.25,785.473 2131.37,790.307 2130.41,795.15 2129.36,800.003 2128.24,804.865 2127.04,809.738 2125.76,814.621 2124.4,819.514 2122.95,824.417 2121.43,829.33 \n",
" 2119.82,834.253 2118.14,839.185 2116.37,844.126 2114.52,849.076 2112.59,854.034 2110.58,859.001 2108.49,863.975 2106.32,868.956 2104.06,873.944 2101.72,878.937 \n",
" 2099.3,883.935 2096.8,888.938 2094.22,893.944 2091.55,898.953 2088.8,903.964 2085.96,908.975 2083.04,913.987 2080.04,918.997 2076.96,924.005 2073.79,929.009 \n",
" 2070.54,934.009 2067.2,939.002 2063.78,943.988 2060.27,948.966 2056.68,953.937 2053,958.9 2049.25,963.851 2045.41,968.786 2041.49,973.699 2037.49,978.586 \n",
" 2033.4,983.442 2029.24,988.264 2025,993.046 2020.68,997.785 2016.28,1002.47 2011.8,1007.11 2007.25,1011.69 2002.62,1016.21 1997.92,1020.67 1993.14,1025.05 \n",
" 1988.29,1029.36 1983.38,1033.59 1978.39,1037.74 1973.33,1041.8 1968.21,1045.78 1963.02,1049.65 1957.77,1053.43 1952.45,1057.11 1947.08,1060.68 1941.64,1064.14 \n",
" 1936.15,1067.48 1930.61,1070.71 1925.01,1073.81 1919.36,1076.79 1913.67,1079.64 1907.92,1082.35 1902.13,1084.93 1896.31,1087.36 1890.44,1089.65 1884.53,1091.79 \n",
" 1878.59,1093.78 1872.62,1095.62 1866.62,1097.29 1860.59,1098.8 1854.54,1100.15 1848.46,1101.33 1842.37,1102.33 1836.27,1103.16 1830.15,1103.8 1824.02,1104.26 \n",
" 1817.89,1104.54 1811.75,1104.63 1805.62,1104.52 1799.48,1104.22 1793.35,1103.73 1787.23,1103.06 1781.13,1102.2 1775.03,1101.17 1768.96,1099.96 1762.9,1098.59 \n",
" 1756.88,1097.04 1750.87,1095.33 1744.9,1093.46 1738.96,1091.43 1733.06,1089.25 1727.19,1086.91 1721.37,1084.43 1715.59,1081.81 1709.85,1079.04 1704.16,1076.14 \n",
" 1698.52,1073.11 1692.94,1069.95 1687.4,1066.67 1681.93,1063.26 1676.51,1059.74 1671.15,1056.1 1665.85,1052.36 1660.62,1048.51 1655.45,1044.56 1650.35,1040.51 \n",
" 1645.32,1036.37 1640.36,1032.14 1635.46,1027.83 1630.65,1023.44 1625.9,1018.97 1621.23,1014.43 1616.64,1009.82 1612.12,1005.16 1607.68,1000.43 1603.32,995.646 \n",
" 1599.04,990.815 1594.84,985.939 1590.72,981.023 1586.68,976.071 1582.73,971.088 1578.85,966.079 1575.06,961.049 1571.36,956.001 1567.73,950.942 1564.2,945.875 \n",
" 1560.74,940.807 1557.37,935.74 1554.08,930.682 1550.88,925.636 1547.76,920.607 1544.72,915.595 1541.77,910.585 1538.9,905.577 1536.11,900.572 1533.41,895.569 \n",
" 1530.79,890.571 1528.25,885.576 1525.79,880.587 1523.42,875.604 1521.13,870.626 1518.93,865.655 1516.8,860.691 1514.76,855.734 1512.8,850.785 1510.92,845.843 \n",
" 1509.12,840.91 1507.41,835.985 1505.77,831.068 1504.22,826.159 1502.75,821.259 1501.36,816.368 1500.05,811.485 1498.82,806.61 1497.68,801.743 1496.61,796.885 \n",
" 1495.63,792.034 1494.72,787.191 1493.9,782.355 1493.16,777.525 1492.49,772.703 1491.91,767.886 1491.41,763.075 1490.99,758.268 1490.65,753.466 1490.38,748.668 \n",
" 1490.2,743.872 1490.1,739.08 1490.08,734.288 1490.14,729.498 1490.27,724.707 1490.49,719.915 1490.79,715.121 1491.17,710.325 1491.62,705.524 1492.16,700.719 \n",
" 1492.77,695.907 1493.46,691.088 1494.24,686.268 1495.09,681.447 1496.02,676.623 1497.03,671.796 1498.12,666.963 1499.28,662.124 1500.53,657.277 1501.87,652.421 \n",
" 1503.28,647.557 1504.77,642.682 1506.35,637.797 1508.01,632.901 1509.75,627.994 1511.57,623.075 1513.48,618.145 1515.47,613.203 1517.55,608.251 1519.7,603.287 \n",
" 1521.95,598.313 1524.27,593.329 1526.68,588.336 1529.17,583.335 1531.75,578.327 1534.41,573.312 1537.15,568.292 1539.98,563.269 1542.89,558.244 1545.88,553.218 \n",
" 1548.96,548.193 1552.11,543.171 1555.36,538.154 1558.68,533.144 1562.09,528.144 1565.57,523.156 1569.14,518.181 1572.79,513.223 1576.53,508.285 1580.34,503.37 \n",
" 1584.23,498.48 1588.2,493.618 1592.25,488.788 1596.38,483.993 1600.58,479.237 1604.87,474.524 1609.23,469.856 1613.66,465.238 1618.18,460.675 1622.76,456.169 \n",
" 1627.42,451.726 1632.16,447.349 1636.97,443.044 1641.84,438.814 1646.79,434.666 1651.82,430.603 1656.91,426.63 1662.06,422.753 1667.29,418.966 1672.57,415.272 \n",
" 1677.92,411.68 1683.32,408.195 1688.78,404.822 1694.3,401.569 1699.86,398.441 1705.48,395.443 1711.14,392.58 1716.85,389.858 1722.6,387.279 1728.39,384.85 \n",
" 1734.22,382.573 1740.08,380.453 1745.98,378.492 1751.9,376.694 1757.86,375.062 1763.84,373.598 1769.84,372.304 1775.87,371.183 1781.91,370.235 1787.96,369.464 \n",
" 1794.03,368.869 1800.11,368.451 1806.2,368.211 1812.29,368.15 1818.38,368.267 1824.48,368.562 1830.56,369.035 1836.65,369.684 1842.72,370.509 1848.77,371.508 \n",
" 1854.82,372.68 1860.84,374.022 1866.85,375.532 1872.82,377.207 1878.77,379.046 1884.69,381.045 1890.58,383.2 1896.43,385.507 1902.24,387.964 1908.01,390.565 \n",
" 1913.73,393.307 1919.4,396.183 1925.01,399.19 1930.57,402.322 1936.08,405.578 1941.52,408.956 1946.91,412.452 1952.24,416.06 1957.51,419.775 1962.72,423.591 \n",
" 1967.86,427.504 1972.94,431.507 1977.95,435.597 1982.89,439.769 1987.76,444.017 1992.57,448.338 1997.3,452.727 2001.95,457.18 2006.54,461.692 2011.05,466.26 \n",
" 2015.48,470.879 2019.83,475.545 2024.11,480.256 2028.31,485.008 2032.43,489.796 2036.47,494.618 2040.43,499.471 2044.31,504.351 2048.1,509.256 2051.82,514.182 \n",
" 2055.45,519.128 2059,524.09 2062.47,529.065 2065.85,534.053 2069.15,539.05 2072.37,544.054 2075.5,549.063 2078.55,554.076 2081.52,559.091 2084.4,564.105 \n",
" 2087.2,569.119 2089.92,574.129 2092.55,579.136 2095.1,584.136 2097.57,589.126 2099.96,594.107 2102.26,599.078 2104.48,604.041 2106.62,608.995 2108.68,613.939 \n",
" 2110.65,618.875 2112.54,623.803 2114.36,628.722 2116.08,633.633 2117.73,638.535 2119.3,643.43 2120.78,648.317 2122.19,653.197 2123.51,658.07 2124.76,662.936 \n",
" 2125.92,667.795 2127,672.648 2128,677.495 2128.92,682.336 2129.76,687.172 2130.52,692.003 2131.2,696.829 2131.8,701.651 2132.32,706.469 2132.76,711.284 \n",
" 2133.12,716.096 2133.4,720.904 2133.6,725.711 2133.72,730.516 2133.75,735.32 2133.71,740.123 2133.59,744.925 2133.39,749.728 2133.11,754.532 2132.75,759.337 \n",
" 2132.31,764.144 2131.79,768.953 2131.19,773.765 2130.51,778.581 2129.75,783.401 2128.91,788.226 2127.99,793.056 2126.99,797.893 2125.9,802.736 2124.74,807.587 \n",
" 2123.5,812.446 2122.18,817.313 2120.77,822.191 2119.29,827.079 2117.72,831.977 2116.07,836.888 2114.34,841.809 2112.54,846.736 2110.65,851.671 2108.68,856.614 \n",
" 2106.63,861.564 2104.49,866.522 2102.27,871.487 2099.97,876.459 2097.59,881.438 2095.13,886.423 2092.57,891.412 2089.94,896.406 2087.22,901.404 2084.42,906.403 \n",
" 2081.53,911.404 2078.56,916.404 2075.51,921.402 2072.37,926.397 2069.14,931.387 2065.84,936.37 2062.45,941.344 2058.97,946.307 2055.42,951.256 2051.78,956.19 \n",
" 2048.06,961.105 2044.25,966 2040.37,970.872 2036.41,975.717 2032.36,980.532 2028.24,985.316 2024.04,990.063 2019.76,994.772 2015.4,999.438 2010.97,1004.06 \n",
" 2006.47,1008.63 2001.88,1013.14 1997.23,1017.6 1992.5,1022 1987.71,1026.33 1982.84,1030.59 1977.9,1034.78 1972.9,1038.88 1967.83,1042.91 1962.7,1046.84 \n",
" 1957.5,1050.68 1952.24,1054.42 1946.92,1058.05 1941.54,1061.58 1936.1,1064.99 1930.6,1068.28 1925.06,1071.44 1919.45,1074.47 1913.8,1077.36 1908.1,1080.11 \n",
" 1902.35,1082.71 1896.56,1085.15 1890.73,1087.45 1884.86,1089.59 1878.96,1091.58 1873.03,1093.41 1867.06,1095.07 1861.07,1096.58 1855.06,1097.91 1849.03,1099.07 \n",
" \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip7402)\" style=\"stroke:#00a98d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1595.27,735.266 1595.33,729.565 1595.5,723.865 1595.78,718.168 1596.18,712.475 1596.69,706.786 1597.31,701.104 1598.05,695.429 1598.89,689.763 1599.85,684.108 \n",
" 1600.93,678.464 1602.11,672.834 1603.41,667.218 1604.81,661.62 1606.33,656.039 1607.96,650.479 1609.7,644.942 1611.55,639.428 1613.51,633.94 1615.57,628.482 \n",
" 1617.75,623.054 1620.03,617.659 1622.42,612.301 1624.91,606.981 1627.51,601.702 1630.22,596.468 1633.03,591.282 1635.94,586.145 1638.95,581.063 1642.06,576.038 \n",
" 1645.28,571.074 1648.59,566.175 1651.99,561.344 1655.49,556.585 1659.09,551.903 1662.78,547.3 1666.55,542.782 1670.42,538.353 1674.38,534.016 1678.42,529.776 \n",
" 1682.54,525.637 1686.74,521.605 1691.02,517.683 1695.38,513.874 1699.82,510.184 1704.32,506.618 1708.9,503.18 1713.54,499.875 1718.25,496.709 1723.02,493.684 \n",
" 1727.84,490.805 1732.73,488.077 1737.66,485.502 1742.65,483.085 1747.68,480.829 1752.75,478.736 1757.86,476.811 1763.02,475.055 1768.2,473.471 1773.41,472.062 \n",
" 1778.66,470.83 1783.92,469.777 1789.2,468.905 1794.5,468.215 1799.81,467.709 1805.13,467.388 1810.45,467.252 1815.77,467.301 1821.09,467.535 1826.41,467.954 \n",
" 1831.71,468.556 1837,469.341 1842.27,470.308 1847.52,471.456 1852.75,472.781 1857.95,474.284 1863.11,475.96 1868.24,477.808 1873.34,479.825 1878.39,482.008 \n",
" 1883.4,484.354 1888.36,486.858 1893.26,489.517 1898.12,492.328 1902.92,495.285 1907.65,498.385 1912.32,501.625 1916.93,504.999 1921.47,508.504 1925.94,512.135 \n",
" 1930.33,515.887 1934.65,519.756 1938.89,523.737 1943.05,527.825 1947.13,532.017 1951.13,536.308 1955.03,540.693 1958.85,545.17 1962.58,549.732 1966.22,554.377 \n",
" 1969.77,559.1 1973.22,563.898 1976.58,568.766 1979.83,573.701 1982.99,578.698 1986.05,583.755 1989.01,588.867 1991.87,594.03 1994.62,599.243 1997.27,604.5 \n",
" 1999.82,609.8 2002.26,615.14 2004.59,620.518 2006.81,625.93 2008.93,631.375 2010.94,636.85 2012.84,642.353 2014.63,647.881 2016.31,653.432 2017.89,659.005 \n",
" 2019.35,664.598 2020.69,670.207 2021.93,675.833 2023.06,681.472 2024.07,687.124 2024.97,692.786 2025.75,698.457 2026.43,704.135 2026.99,709.821 2027.44,715.511 \n",
" 2027.77,721.205 2028,726.901 2028.1,732.599 2028.1,738.298 2027.98,743.996 2027.75,749.694 2027.41,755.389 2026.95,761.079 2026.38,766.764 2025.7,772.441 \n",
" 2024.91,778.11 2024,783.77 2022.98,789.419 2021.85,795.056 2020.61,800.679 2019.25,806.286 2017.79,811.876 2016.21,817.446 2014.52,822.996 2012.72,828.522 \n",
" 2010.82,834.023 2008.8,839.497 2006.68,844.94 2004.44,850.351 2002.1,855.727 1999.66,861.065 1997.11,866.363 1994.45,871.617 1991.69,876.826 1988.83,881.985 \n",
" 1985.86,887.092 1982.8,892.143 1979.63,897.136 1976.37,902.067 1973.01,906.935 1969.55,911.736 1966,916.465 1962.35,921.117 1958.62,925.685 1954.79,930.167 \n",
" 1950.88,934.556 1946.88,938.848 1942.79,943.038 1938.63,947.122 1934.38,951.095 1930.06,954.954 1925.66,958.693 1921.19,962.308 1916.64,965.796 1912.03,969.153 \n",
" 1907.35,972.373 1902.62,975.454 1897.82,978.392 1892.96,981.184 1888.05,983.824 1883.08,986.311 1878.07,988.641 1873.02,990.809 1867.92,992.814 1862.79,994.652 \n",
" 1857.61,996.32 1852.41,997.815 1847.18,999.134 1841.93,1000.27 1836.65,1001.23 1831.36,1002.01 1826.06,1002.6 1820.75,1003 1815.43,1003.22 1810.1,1003.26 \n",
" 1804.78,1003.11 1799.47,1002.78 1794.16,1002.26 1788.87,1001.56 1783.59,1000.68 1778.33,999.616 1773.09,998.377 1767.89,996.961 1762.71,995.37 1757.56,993.607 \n",
" 1752.45,991.674 1747.38,989.574 1742.35,987.309 1737.37,984.883 1732.44,982.299 1727.56,979.56 1722.74,976.671 1717.97,973.634 1713.27,970.455 1708.62,967.137 \n",
" 1704.05,963.685 1699.54,960.104 1695.11,956.398 1690.75,952.574 1686.47,948.636 1682.27,944.59 1678.15,940.441 1674.12,936.194 1670.17,931.85 1666.31,927.413 \n",
" 1662.54,922.887 1658.86,918.276 1655.27,913.585 1651.78,908.819 1648.38,903.981 1645.07,899.075 1641.87,894.105 1638.76,889.074 1635.76,883.986 1632.85,878.845 \n",
" 1630.05,873.654 1627.35,868.416 1624.76,863.134 1622.27,857.811 1619.89,852.449 1617.62,847.053 1615.45,841.623 1613.39,836.163 1611.44,830.675 1609.61,825.162 \n",
" 1607.88,819.624 1606.26,814.064 1604.75,808.485 1603.35,802.887 1602.07,797.273 1600.89,791.643 1599.83,786 1598.88,780.345 1598.04,774.681 1597.31,769.009 \n",
" 1596.69,763.33 1596.19,757.645 1595.8,751.955 1595.52,746.261 1595.36,740.563 1595.31,734.864 1595.37,729.163 1595.55,723.463 1595.84,717.764 1596.24,712.068 \n",
" 1596.76,706.376 1597.39,700.69 1598.13,695.011 1598.99,689.341 1599.95,683.681 1601.04,678.033 1602.23,672.4 1603.54,666.781 1604.95,661.18 1606.48,655.599 \n",
" 1608.12,650.039 1609.87,644.502 1611.73,638.991 1613.7,633.507 1615.78,628.053 1617.96,622.631 1620.25,617.244 1622.65,611.893 1625.15,606.582 1627.76,601.312 \n",
" 1630.48,596.086 1633.29,590.908 1636.21,585.779 1639.23,580.701 1642.35,575.678 1645.57,570.712 1648.89,565.81 1652.3,560.976 1655.81,556.214 1659.41,551.529 \n",
" 1663.1,546.926 1666.89,542.409 1670.76,537.983 1674.72,533.652 1678.77,529.421 1682.9,525.294 1687.11,521.275 1691.39,517.369 1695.76,513.58 1700.2,509.911 \n",
" 1704.71,506.368 1709.29,502.953 1713.93,499.671 1718.65,496.526 1723.42,493.521 1728.25,490.661 1733.14,487.949 1738.07,485.388 1743.06,482.984 1748.1,480.738 \n",
" 1753.18,478.655 1758.29,476.738 1763.45,474.99 1768.63,473.415 1773.85,472.016 1779.09,470.797 1784.35,469.76 1789.64,468.906 1794.93,468.236 1800.24,467.75 \n",
" 1805.56,467.449 1810.87,467.332 1816.19,467.4 1821.51,467.651 1826.81,468.085 1832.11,468.702 1837.39,469.5 1842.66,470.478 1847.9,471.635 1853.11,472.968 \n",
" 1858.3,474.477 1863.46,476.159 1868.58,478.012 1873.67,480.033 1878.71,482.221 1883.71,484.571 1888.66,487.081 1893.56,489.748 1898.41,492.568 1903.2,495.538 \n",
" 1907.93,498.654 1912.61,501.911 1917.21,505.307 1921.75,508.835 1926.22,512.492 1930.61,516.272 1934.93,520.172 1939.17,524.184 1943.33,528.305 1947.41,532.528 \n",
" 1951.4,536.848 1955.3,541.258 1959.11,545.753 1962.83,550.325 1966.46,554.976 1969.99,559.706 1973.43,564.51 1976.78,569.384 1980.02,574.324 1983.17,579.326 \n",
" 1986.22,584.388 1989.17,589.505 1992.01,594.674 1994.75,599.892 1997.39,605.156 1999.93,610.462 2002.35,615.808 2004.67,621.19 2006.89,626.607 2008.99,632.055 \n",
" 2010.99,637.532 2012.88,643.036 2014.65,648.565 2016.32,654.115 2017.88,659.686 2019.32,665.275 2020.65,670.881 2021.88,676.502 2022.98,682.136 2023.98,687.782 \n",
" 2024.87,693.439 2025.64,699.105 2026.3,704.779 2026.85,710.46 2027.28,716.148 2027.6,721.841 2027.81,727.537 2027.91,733.233 2027.9,738.929 2027.77,744.623 \n",
" 2027.53,750.316 2027.18,756.006 2026.71,761.693 2026.13,767.374 2025.44,773.049 2024.64,778.716 2023.72,784.374 2022.69,790.022 2021.55,795.657 2020.29,801.279 \n",
" 2018.92,806.885 2017.44,812.474 2015.85,818.043 2014.15,823.591 2012.34,829.115 2010.42,834.613 2008.39,840.083 2006.25,845.522 2004.01,850.928 2001.66,856.298 \n",
" 1999.2,861.63 1996.63,866.921 1993.96,872.167 1991.19,877.367 1988.32,882.516 1985.34,887.613 1982.27,892.652 1979.09,897.632 1975.82,902.549 1972.45,907.399 \n",
" 1968.98,912.178 1965.42,916.884 1961.77,921.512 1958.02,926.065 1954.19,930.536 1950.27,934.92 1946.26,939.21 1942.17,943.401 1937.99,947.487 1933.74,951.463 \n",
" 1929.41,955.323 1925.01,959.063 1920.53,962.677 1915.98,966.161 1911.37,969.511 1906.69,972.722 1901.95,975.79 1897.14,978.711 1892.29,981.482 1887.37,984.099 \n",
" 1882.41,986.558 1877.4,988.857 1872.34,990.993 1867.25,992.962 1862.11,994.763 1856.94,996.393 1851.74,997.849 1846.51,999.13 1841.25,1000.23 1835.98,1001.16 \n",
" 1830.68,1001.91 1825.37,1002.47 1820.06,1002.85 1814.73,1003.05 1809.41,1003.06 1804.08,1002.89 1798.77,1002.54 1793.46,1002 1788.17,1001.28 1782.89,1000.37 \n",
" 1777.64,999.275 1772.41,998 1767.2,996.546 1762.03,994.916 1756.89,993.115 1751.79,991.145 1746.73,989.01 1741.71,986.714 1736.74,984.26 1731.82,981.652 \n",
" 1726.96,978.893 1722.15,975.987 1717.4,972.938 1712.71,969.75 1708.09,966.427 1703.53,962.972 1699.04,959.39 1694.63,955.684 1690.29,951.859 1686.03,947.919 \n",
" 1681.84,943.868 1677.74,939.709 1673.72,935.449 1669.79,931.09 1665.94,926.637 1662.19,922.094 1658.52,917.467 1654.95,912.759 1651.47,907.975 1648.08,903.119 \n",
" 1644.8,898.197 1641.61,893.213 1638.52,888.172 1635.54,883.079 1632.65,877.936 1629.87,872.743 1627.19,867.504 1624.61,862.221 1622.14,856.896 1619.77,851.532 \n",
" 1617.51,846.132 1615.36,840.698 1613.31,835.232 1611.38,829.736 1609.55,824.214 1607.83,818.667 1606.23,813.097 1604.73,807.506 1603.35,801.896 1602.08,796.27 \n",
" 1600.92,790.629 1599.87,784.976 1598.94,779.311 1598.12,773.636 1597.41,767.954 1596.82,762.266 1596.34,756.573 1595.97,750.877 1595.72,745.18 1595.58,739.482 \n",
" 1595.56,733.785 1595.65,728.091 1595.86,722.4 1596.17,716.714 1596.61,711.033 1597.15,705.359 1597.81,699.693 1598.58,694.036 1599.46,688.388 1600.45,682.75 \n",
" 1601.55,677.124 1602.77,671.509 1604.09,665.906 1605.52,660.317 1607.07,654.745 1608.72,649.194 1610.48,643.665 1612.36,638.161 1614.34,632.683 1616.43,627.235 \n",
" 1618.63,621.819 1620.93,616.437 1623.35,611.092 1625.87,605.787 1628.49,600.525 1631.22,595.308 1634.05,590.14 1636.98,585.024 1640.02,579.964 1643.15,574.962 \n",
" 1646.39,570.022 1649.72,565.147 1653.15,560.342 1656.67,555.61 1660.29,550.955 1663.99,546.381 1667.79,541.891 1671.67,537.491 1675.65,533.184 1679.7,528.975 \n",
" 1683.84,524.869 1688.06,520.869 1692.35,516.98 1696.73,513.208 1701.17,509.556 1705.69,506.03 1710.28,502.629 1714.93,499.356 1719.65,496.215 1724.42,493.213 \n",
" 1729.25,490.355 1734.14,487.646 1739.07,485.089 1744.06,482.691 1749.09,480.454 1754.16,478.383 1759.26,476.48 1764.41,474.749 1769.58,473.193 1774.78,471.814 \n",
" 1780.01,470.614 1785.26,469.596 1790.53,468.762 1795.81,468.111 1801.11,467.646 1806.41,467.368 1811.72,467.276 1817.03,467.371 1822.34,467.653 1827.65,468.122 \n",
" 1832.94,468.776 1838.23,469.615 1843.49,470.638 1848.74,471.842 1853.97,473.226 1859.17,474.789 1864.34,476.527 1869.48,478.437 1874.57,480.517 1879.63,482.763 \n",
" 1884.65,485.172 1889.61,487.74 1894.52,490.462 1899.38,493.334 1904.18,496.351 1908.91,499.508 1913.58,502.799 1918.17,506.22 1922.69,509.763 1927.13,513.427 \n",
" 1931.5,517.213 1935.79,521.115 1940.01,525.129 1944.14,529.25 1948.19,533.474 1952.15,537.795 1956.03,542.209 1959.82,546.713 1963.52,551.3 1967.13,555.969 \n",
" 1970.65,560.713 1974.07,565.53 1977.39,570.415 1980.62,575.366 1983.75,580.377 1986.77,585.447 1989.7,590.57 1992.52,595.745 1995.24,600.968 1997.86,606.235 \n",
" 2000.37,611.545 2002.77,616.893 2005.06,622.279 2007.25,627.698 2009.33,633.148 2011.31,638.627 2013.17,644.134 2014.92,649.664 2016.57,655.218 2018.1,660.792 \n",
" 2019.53,666.381 2020.85,671.985 2022.05,677.604 2023.15,683.235 2024.13,688.878 2025.01,694.533 2025.77,700.198 2026.42,705.872 2026.96,711.555 2027.38,717.245 \n",
" 2027.69,722.94 2027.88,728.641 2027.97,734.345 2027.93,740.051 2027.79,745.758 2027.53,751.465 2027.15,757.169 2026.66,762.87 2026.06,768.565 2025.34,774.254 \n",
" 2024.51,779.934 2023.57,785.604 2022.51,791.262 2021.34,796.906 2020.05,802.534 2018.65,808.145 2017.15,813.736 2015.53,819.304 2013.8,824.85 2011.95,830.369 \n",
" 2010,835.859 2007.94,841.32 2005.78,846.747 2003.5,852.14 2001.12,857.494 1998.63,862.809 1996.04,868.081 1993.35,873.308 1990.55,878.487 1987.65,883.616 \n",
" 1984.65,888.692 1981.55,893.711 1978.35,898.672 1975.05,903.571 1971.66,908.405 1968.17,913.173 1964.59,917.869 1960.92,922.489 1957.16,927.026 1953.3,931.476 \n",
" 1949.36,935.833 1945.34,940.092 1941.23,944.248 1937.04,948.297 1932.77,952.233 1928.43,956.053 1924.01,959.751 1919.51,963.324 1914.95,966.767 1910.32,970.076 \n",
" 1905.63,973.247 1900.87,976.276 1896.06,979.16 1891.19,981.895 1886.27,984.478 1881.29,986.905 1876.27,989.173 1871.2,991.279 1866.1,993.22 1860.96,994.994 \n",
" 1855.78,996.596 1850.57,998.026 1845.34,999.28 1840.08,1000.36 1834.8,1001.25 1829.51,1001.97 1824.21,1002.5 1818.89,1002.84 1813.58,1002.99 1808.26,1002.96 \n",
" 1802.95,1002.74 1797.64,1002.33 1792.34,1001.73 1787.05,1000.95 1781.79,999.995 1776.54,998.857 1771.32,997.543 1766.13,996.055 1760.97,994.395 1755.84,992.565 \n",
" 1750.76,990.569 1745.71,988.41 1740.71,986.089 1735.76,983.611 1730.85,980.978 1726,978.193 1721.21,975.261 1716.48,972.184 1711.81,968.967 1707.2,965.612 \n",
" 1702.66,962.124 1698.19,958.507 1693.8,954.764 1689.48,950.901 1685.23,946.921 1681.07,942.829 1676.98,938.629 1672.98,934.326 1669.07,929.926 1665.24,925.432 \n",
" 1661.5,920.85 1657.86,916.184 1654.31,911.441 1650.85,906.626 1647.49,901.744 1644.23,896.801 1641.07,891.802 1638.01,886.753 1635.05,881.654 1632.19,876.503 \n",
" 1629.44,871.303 1626.79,866.056 1624.24,860.766 1621.8,855.434 1619.46,850.064 1617.23,844.658 1615.11,839.219 1613.1,833.749 1611.19,828.251 1609.39,822.727 \n",
" 1607.71,817.178 1606.13,811.608 1604.67,806.018 1603.32,800.411 1602.08,794.787 1600.95,789.15 1599.93,783.501 1599.03,777.841 1598.24,772.172 1597.57,766.497 \n",
" 1597,760.816 1596.55,755.13 1596.22,749.442 1596,743.752 1595.89,738.062 1595.89,732.373 1596.01,726.685 1596.24,721.001 1596.59,715.321 1597.04,709.645 \n",
" 1597.61,703.975 1598.3,698.311 1599.09,692.654 1599.99,687.004 1601.01,681.363 1602.13,675.733 1603.37,670.118 1604.72,664.518 1606.18,658.935 1607.75,653.372 \n",
" 1609.43,647.83 1611.22,642.311 1613.12,636.818 1615.12,631.352 1617.24,625.917 1619.47,620.514 1621.8,615.146 1624.24,609.816 1626.78,604.526 1629.43,599.28 \n",
" 1632.19,594.081 1635.04,588.931 1638,583.833 1641.06,578.792 1644.22,573.809 1647.48,568.89 1650.83,564.038 1654.28,559.255 1657.83,554.547 1661.46,549.916 \n",
" 1665.19,545.367 1669.01,540.905 1672.91,536.533 1676.9,532.255 1680.97,528.077 1685.13,524.002 1689.36,520.036 1693.68,516.182 1698.06,512.447 1702.53,508.833 \n",
" 1707.06,505.338 1711.66,501.968 1716.32,498.728 1721.05,495.624 1725.83,492.66 1730.67,489.843 1735.57,487.177 1740.51,484.666 1745.5,482.315 1750.54,480.127 \n",
" 1755.61,478.106 1760.73,476.255 1765.87,474.577 1771.05,473.075 1776.26,471.751 1781.49,470.607 1786.74,469.645 1792.01,468.867 1797.29,468.273 1802.59,467.866 \n",
" 1807.89,467.644 1813.2,467.609 1818.51,467.761 1823.81,468.099 1829.11,468.623 1834.4,469.331 1839.68,470.224 1844.94,471.299 1850.18,472.555 1855.4,473.989 \n",
" 1860.58,475.599 1865.74,477.383 1870.86,479.338 1875.94,481.46 1880.98,483.747 1885.97,486.193 1890.91,488.796 1895.8,491.551 1900.63,494.452 1905.4,497.496 \n",
" 1910.1,500.676 1914.73,503.988 1919.29,507.431 1923.78,511.003 1928.19,514.701 1932.54,518.517 1936.8,522.449 1940.99,526.49 1945.1,530.637 1949.12,534.884 \n",
" 1953.06,539.227 1956.91,543.662 1960.67,548.185 1964.34,552.79 1967.92,557.475 1971.4,562.235 1974.79,567.067 1978.09,571.966 1981.28,576.929 1984.38,581.952 \n",
" 1987.37,587.033 1990.27,592.167 1993.06,597.351 1995.74,602.583 1998.33,607.859 2000.8,613.176 2003.17,618.532 2005.44,623.924 2007.59,629.349 2009.64,634.805 \n",
" 2011.58,640.289 2013.41,645.799 2015.13,651.333 2016.74,656.888 2018.25,662.461 2019.64,668.049 2020.93,673.653 2022.1,679.272 2023.17,684.904 2024.12,690.549 \n",
" 2024.96,696.205 2025.69,701.871 2026.31,707.547 2026.81,713.232 2027.2,718.923 2027.48,724.62 2027.64,730.321 2027.69,736.025 2027.62,741.731 2027.44,747.437 \n",
" 2027.14,753.141 2026.73,758.843 2026.21,764.541 2025.57,770.232 2024.82,775.916 2023.96,781.59 2022.98,787.253 2021.89,792.903 2020.68,798.539 2019.36,804.157 \n",
" 2017.93,809.757 2016.39,815.336 2014.74,820.892 2012.98,826.424 2011.11,831.928 2009.12,837.404 2007.03,842.848 2004.84,848.259 2002.53,853.633 2000.12,858.97 \n",
" 1997.6,864.266 1994.98,869.518 1992.26,874.725 1989.43,879.884 1986.5,884.993 1983.48,890.048 1980.35,895.046 1977.13,899.987 1973.81,904.865 1970.39,909.68 \n",
" 1966.88,914.425 1963.27,919.096 1959.58,923.688 1955.79,928.194 1951.92,932.61 1947.95,936.931 1943.91,941.153 1939.78,945.269 1935.57,949.277 1931.28,953.171 \n",
" 1926.92,956.947 1922.48,960.601 1917.97,964.127 1913.39,967.524 1908.75,970.785 1904.04,973.908 1899.27,976.889 1894.45,979.724 1889.56,982.409 1884.63,984.942 \n",
" 1879.65,987.318 1874.62,989.535 1869.55,991.589 1864.43,993.478 1859.29,995.198 1854.1,996.747 1848.9,998.122 1843.66,999.321 1838.4,1000.34 1833.13,1001.18 \n",
" 1827.84,1001.83 1822.54,1002.3 1817.23,1002.59 1811.92,1002.69 1806.61,1002.6 1801.3,1002.34 1796,1001.88 1790.71,1001.24 1785.44,1000.42 1780.18,999.424 \n",
" \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip7402)\" style=\"stroke:#8e971d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1703.49,735.266 1703.54,731.055 1703.69,726.847 1703.94,722.646 1704.29,718.454 1704.73,714.277 1705.28,710.116 1705.93,705.975 1706.67,701.859 1707.51,697.769 \n",
" 1708.45,693.709 1709.49,689.684 1710.62,685.696 1711.84,681.748 1713.16,677.845 1714.57,673.99 1716.07,670.186 1717.66,666.436 1719.33,662.744 1721.1,659.114 \n",
" 1722.95,655.549 1724.88,652.053 1726.9,648.629 1729,645.28 1731.17,642.009 1733.43,638.822 1735.75,635.719 1738.15,632.706 1740.62,629.785 1743.16,626.959 \n",
" 1745.76,624.232 1748.43,621.606 1751.16,619.085 1753.95,616.672 1756.79,614.37 1759.69,612.181 1762.63,610.108 1765.63,608.154 1768.67,606.321 1771.75,604.612 \n",
" 1774.87,603.028 1778.03,601.571 1781.22,600.245 1784.44,599.049 1787.69,597.986 1790.96,597.058 1794.25,596.264 1797.56,595.608 1800.88,595.089 1804.21,594.708 \n",
" 1807.55,594.465 1810.9,594.362 1814.24,594.398 1817.58,594.574 1820.92,594.888 1824.25,595.341 1827.56,595.932 1830.86,596.659 1834.14,597.523 1837.4,598.522 \n",
" 1840.64,599.655 1843.84,600.919 1847.01,602.313 1850.15,603.837 1853.25,605.487 1856.32,607.261 1859.33,609.157 1862.3,611.173 1865.22,613.306 1868.09,615.554 \n",
" 1870.91,617.914 1873.66,620.383 1876.36,622.958 1879,625.636 1881.57,628.416 1884.07,631.292 1886.5,634.262 1888.86,637.323 1891.15,640.471 1893.36,643.702 \n",
" 1895.5,647.014 1897.55,650.403 1899.53,653.865 1901.42,657.398 1903.23,660.998 1904.95,664.661 1906.58,668.384 1908.13,672.162 1909.58,675.994 1910.94,679.875 \n",
" 1912.21,683.802 1913.39,687.771 1914.47,691.78 1915.45,695.824 1916.34,699.9 1917.13,704.004 1917.82,708.134 1918.41,712.286 1918.91,716.456 1919.31,720.641 \n",
" 1919.6,724.838 1919.8,729.044 1919.9,733.254 1919.89,737.466 1919.79,741.675 1919.59,745.88 1919.29,750.077 1918.89,754.261 1918.39,758.431 1917.79,762.581 \n",
" 1917.09,766.71 1916.3,770.813 1915.4,774.888 1914.41,778.93 1913.33,782.936 1912.15,786.903 1910.88,790.828 1909.51,794.706 1908.06,798.535 1906.51,802.311 \n",
" 1904.87,806.031 1903.15,809.69 1901.34,813.287 1899.44,816.816 1897.47,820.275 1895.41,823.661 1893.27,826.971 1891.05,830.2 1888.76,833.345 1886.4,836.404 \n",
" 1883.96,839.371 1881.46,842.244 1878.88,845.019 1876.25,847.694 1873.55,850.264 1870.79,852.728 1867.97,855.083 1865.1,857.325 1862.18,859.452 1859.2,861.462 \n",
" 1856.19,863.352 1853.12,865.119 1850.02,866.763 1846.88,868.28 1843.7,869.668 1840.5,870.927 1837.26,872.053 1834,873.046 1830.72,873.904 1827.42,874.626 \n",
" 1824.1,875.211 1820.77,875.658 1817.44,875.968 1814.09,876.138 1810.75,876.17 1807.4,876.063 1804.07,875.816 1800.73,875.431 1797.41,874.908 1794.11,874.246 \n",
" 1790.82,873.449 1787.55,872.515 1784.3,871.446 1781.08,870.245 1777.89,868.911 1774.74,867.448 1771.62,865.857 1768.54,864.14 1765.5,862.299 1762.5,860.337 \n",
" 1759.56,858.256 1756.66,856.06 1753.82,853.752 1751.04,851.334 1748.31,848.808 1745.64,846.177 1743.04,843.445 1740.51,840.614 1738.04,837.688 1735.64,834.67 \n",
" 1733.32,831.563 1731.07,828.371 1728.9,825.097 1726.8,821.745 1724.79,818.318 1722.86,814.818 1721.01,811.25 1719.25,807.618 1717.58,803.923 1715.99,800.171 \n",
" 1714.5,796.363 1713.09,792.505 1711.78,788.599 1710.56,784.648 1709.44,780.657 1708.41,776.629 1707.48,772.567 1706.64,768.475 1705.9,764.357 1705.26,760.215 \n",
" 1704.72,756.054 1704.27,751.876 1703.92,747.684 1703.68,743.482 1703.53,739.274 1703.48,735.062 1703.54,730.851 1703.69,726.643 1703.94,722.441 1704.3,718.25 \n",
" 1704.75,714.073 1705.3,709.913 1705.95,705.773 1706.7,701.657 1707.55,697.568 1708.49,693.51 1709.53,689.486 1710.67,685.499 1711.9,681.554 1713.22,677.653 \n",
" 1714.64,673.8 1716.14,669.998 1717.74,666.251 1719.42,662.563 1721.19,658.936 1723.05,655.374 1724.99,651.881 1727.01,648.461 1729.11,645.115 1731.29,641.847 \n",
" 1733.54,638.661 1735.88,635.561 1738.28,632.55 1740.75,629.632 1743.29,626.809 1745.9,624.087 1748.57,621.466 1751.3,618.951 1754.09,616.545 1756.93,614.249 \n",
" 1759.83,612.068 1762.78,610.002 1765.78,608.056 1768.82,606.231 1771.91,604.529 1775.03,602.953 1778.19,601.504 1781.38,600.184 1784.61,598.996 1787.85,597.94 \n",
" 1791.13,597.018 1794.42,596.232 1797.73,595.583 1801.05,595.071 1804.39,594.697 1807.73,594.461 1811.07,594.364 1814.42,594.405 1817.76,594.586 1821.09,594.905 \n",
" 1824.42,595.362 1827.73,595.957 1831.03,596.688 1834.31,597.556 1837.57,598.559 1840.8,599.696 1844,600.965 1847.17,602.365 1850.31,603.894 1853.4,605.551 \n",
" 1856.46,607.333 1859.48,609.237 1862.45,611.262 1865.37,613.406 1868.24,615.664 1871.05,618.035 1873.81,620.515 1876.5,623.102 1879.13,625.79 1881.7,628.578 \n",
" 1884.2,631.461 1886.63,634.436 1888.99,637.502 1891.27,640.654 1893.48,643.891 1895.62,647.207 1897.67,650.601 1899.64,654.068 1901.53,657.605 1903.33,661.208 \n",
" 1905.05,664.875 1906.67,668.601 1908.21,672.383 1909.66,676.218 1911.02,680.102 1912.28,684.031 1913.45,688.003 1914.52,692.014 1915.5,696.06 1916.38,700.139 \n",
" 1917.17,704.246 1917.85,708.377 1918.44,712.531 1918.93,716.703 1919.32,720.89 1919.61,725.088 1919.8,729.294 1919.89,733.504 1919.88,737.716 1919.77,741.925 \n",
" 1919.56,746.13 1919.26,750.326 1918.85,754.51 1918.35,758.678 1917.74,762.828 1917.04,766.956 1916.24,771.058 1915.35,775.131 1914.35,779.171 1913.26,783.175 \n",
" 1912.08,787.14 1910.8,791.061 1909.43,794.936 1907.97,798.762 1906.42,802.534 1904.78,806.249 1903.05,809.905 1901.23,813.497 1899.33,817.021 1897.35,820.476 \n",
" 1895.28,823.856 1893.14,827.16 1890.91,830.382 1888.62,833.521 1886.25,836.572 1883.8,839.533 1881.29,842.399 1878.72,845.167 1876.08,847.837 1873.37,850.404 \n",
" 1870.61,852.866 1867.79,855.219 1864.92,857.459 1861.99,859.584 1859.02,861.592 1856,863.478 1852.93,865.242 1849.83,866.88 1846.69,868.39 1843.51,869.771 \n",
" 1840.31,871.021 1837.07,872.138 1833.81,873.121 1830.53,873.969 1827.23,874.679 1823.91,875.253 1820.58,875.689 1817.24,875.986 1813.89,876.144 1810.55,876.164 \n",
" 1807.2,876.044 1803.86,875.786 1800.52,875.389 1797.2,874.855 1793.89,874.183 1790.6,873.376 1787.34,872.432 1784.09,871.354 1780.87,870.144 1777.69,868.802 \n",
" 1774.53,867.332 1771.42,865.734 1768.34,864.012 1765.3,862.166 1762.31,860.201 1759.37,858.117 1756.48,855.918 1753.64,853.605 1750.86,851.182 1748.14,848.651 \n",
" 1745.48,846.016 1742.89,843.278 1740.36,840.442 1737.89,837.51 1735.5,834.485 1733.18,831.37 1730.94,828.17 1728.77,824.888 1726.69,821.526 1724.68,818.089 \n",
" 1722.75,814.581 1720.91,811.005 1719.16,807.366 1717.49,803.667 1715.91,799.912 1714.41,796.102 1713.01,792.243 1711.7,788.336 1710.48,784.385 1709.36,780.394 \n",
" 1708.33,776.366 1707.39,772.303 1706.55,768.21 1705.81,764.09 1705.17,759.946 1704.63,755.782 1704.19,751.6 1703.85,747.405 1703.6,743.199 1703.46,738.987 \n",
" 1703.42,734.771 1703.49,730.555 1703.65,726.342 1703.91,722.136 1704.28,717.941 1704.74,713.759 1705.31,709.594 1705.97,705.45 1706.73,701.33 1707.59,697.238 \n",
" 1708.55,693.177 1709.6,689.151 1710.75,685.163 1712,681.216 1713.33,677.315 1714.76,673.463 1716.28,669.663 1717.88,665.919 1719.57,662.235 1721.35,658.613 \n",
" 1723.21,655.057 1725.16,651.568 1727.19,648.152 1729.29,644.811 1731.48,641.55 1733.74,638.372 1736.08,635.281 1738.49,632.279 1740.97,629.371 1743.51,626.559 \n",
" 1746.13,623.847 1748.8,621.237 1751.54,618.732 1754.33,616.336 1757.19,614.051 1760.09,611.88 1763.04,609.825 1766.05,607.888 1769.09,606.073 1772.18,604.381 \n",
" 1775.31,602.815 1778.47,601.376 1781.67,600.067 1784.89,598.89 1788.14,597.845 1791.42,596.935 1794.71,596.16 1798.02,595.52 1801.35,595.018 1804.68,594.653 \n",
" 1808.02,594.427 1811.36,594.339 1814.71,594.39 1818.05,594.58 1821.38,594.909 1824.71,595.376 1828.02,595.982 1831.31,596.724 1834.59,597.604 1837.84,598.618 \n",
" 1841.07,599.767 1844.27,601.049 1847.44,602.461 1850.57,604.004 1853.67,605.674 1856.73,607.469 1859.74,609.387 1862.71,611.426 1865.62,613.583 1868.49,615.855 \n",
" 1871.3,618.24 1874.05,620.733 1876.75,623.332 1879.38,626.033 1881.94,628.832 1884.43,631.725 1886.86,634.71 1889.21,637.783 1891.49,640.944 1893.69,644.188 \n",
" 1895.81,647.512 1897.86,650.913 1899.82,654.387 1901.7,657.93 1903.5,661.54 1905.21,665.212 1906.83,668.944 1908.36,672.731 1909.8,676.571 1911.15,680.46 \n",
" 1912.4,684.394 1913.56,688.37 1914.63,692.384 1915.6,696.434 1916.47,700.515 1917.24,704.625 1917.92,708.759 1918.5,712.915 1918.98,717.089 1919.36,721.277 \n",
" 1919.64,725.476 1919.82,729.683 1919.9,733.894 1919.88,738.106 1919.76,742.316 1919.55,746.52 1919.23,750.715 1918.82,754.898 1918.3,759.066 1917.69,763.214 \n",
" 1916.98,767.34 1916.17,771.44 1915.27,775.511 1914.26,779.548 1913.17,783.549 1911.98,787.511 1910.69,791.428 1909.31,795.299 1907.84,799.12 1906.28,802.887 \n",
" 1904.63,806.597 1902.89,810.247 1901.07,813.833 1899.16,817.351 1897.17,820.798 1895.1,824.172 1892.94,827.468 1890.71,830.683 1888.41,833.814 1886.03,836.857 \n",
" 1883.58,839.809 1881.06,842.667 1878.48,845.428 1875.83,848.087 1873.12,850.642 1870.35,853.091 1867.53,855.432 1864.65,857.662 1861.72,859.777 1858.74,861.775 \n",
" 1855.71,863.652 1852.65,865.406 1849.54,867.034 1846.39,868.535 1843.22,869.907 1840.01,871.147 1836.77,872.254 1833.51,873.226 1830.22,874.062 1826.92,874.762 \n",
" 1823.6,875.324 1820.27,875.747 1816.93,876.032 1813.59,876.177 1810.24,876.183 1806.9,876.049 1803.55,875.776 1800.22,875.365 1796.9,874.816 1793.59,874.13 \n",
" 1790.3,873.308 1787.03,872.351 1783.79,871.26 1780.57,870.038 1777.39,868.684 1774.24,867.2 1771.12,865.589 1768.05,863.853 1765.01,861.995 1762.03,860.016 \n",
" 1759.09,857.919 1756.2,855.708 1753.37,853.384 1750.6,850.95 1747.88,848.409 1745.22,845.764 1742.63,843.017 1740.11,840.173 1737.65,837.233 1735.27,834.202 \n",
" 1732.96,831.081 1730.72,827.875 1728.56,824.587 1726.48,821.219 1724.48,817.777 1722.57,814.262 1720.73,810.68 1718.99,807.033 1717.33,803.324 1715.76,799.559 \n",
" 1714.27,795.741 1712.88,791.873 1711.59,787.961 1710.38,784.005 1709.27,780.01 1708.25,775.979 1707.32,771.914 1706.5,767.82 1705.77,763.699 1705.13,759.555 \n",
" 1704.6,755.391 1704.16,751.21 1703.83,747.016 1703.59,742.812 1703.46,738.602 1703.42,734.388 1703.49,730.175 1703.66,725.965 1703.93,721.761 1704.3,717.569 \n",
" 1704.77,713.39 1705.34,709.228 1706.01,705.087 1706.77,700.97 1707.64,696.88 1708.6,692.822 1709.67,688.798 1710.82,684.813 1712.07,680.869 1713.42,676.97 \n",
" 1714.86,673.119 1716.38,669.321 1718,665.579 1719.7,661.896 1721.5,658.277 1723.37,654.723 1725.33,651.24 1727.37,647.831 1729.48,644.499 1731.68,641.246 \n",
" 1733.95,638.075 1736.29,634.99 1738.71,631.995 1741.19,629.093 1743.74,626.288 1746.36,623.582 1749.05,620.979 1751.79,618.483 1754.59,616.095 1757.44,613.819 \n",
" 1760.35,611.658 1763.31,609.613 1766.32,607.688 1769.37,605.885 1772.46,604.205 1775.59,602.652 1778.76,601.226 1781.96,599.93 1785.19,598.765 1788.44,597.734 \n",
" 1791.72,596.836 1795.01,596.075 1798.33,595.45 1801.65,594.963 1804.99,594.615 1808.33,594.404 1811.68,594.332 1815.02,594.399 1818.36,594.605 1821.7,594.949 \n",
" 1825.02,595.43 1828.34,596.049 1831.63,596.805 1834.91,597.697 1838.16,598.723 1841.38,599.882 1844.58,601.174 1847.75,602.596 1850.87,604.147 1853.97,605.824 \n",
" 1857.02,607.627 1860.02,609.553 1862.98,611.599 1865.89,613.763 1868.75,616.042 1871.56,618.434 1874.3,620.936 1876.99,623.543 1879.61,626.254 1882.17,629.065 \n",
" 1884.66,631.972 1887.08,634.971 1889.43,638.059 1891.7,641.23 1893.89,644.482 1896.01,647.813 1898.05,651.221 1900,654.701 1901.88,658.251 1903.66,661.867 \n",
" 1905.36,665.545 1906.98,669.283 1908.5,673.075 1909.94,676.92 1911.28,680.814 1912.52,684.752 1913.68,688.733 1914.73,692.751 1915.7,696.804 1916.56,700.889 \n",
" 1917.33,705.001 1918,709.138 1918.57,713.296 1919.04,717.472 1919.41,721.662 1919.68,725.863 1919.85,730.071 1919.92,734.283 1919.89,738.496 1919.76,742.706 \n",
" 1919.53,746.91 1919.21,751.104 1918.78,755.286 1918.26,759.451 1917.63,763.597 1916.91,767.721 1916.09,771.819 1915.18,775.888 1914.17,779.923 1913.06,783.922 \n",
" 1911.86,787.88 1910.57,791.795 1909.18,795.663 1907.7,799.48 1906.13,803.243 1904.48,806.948 1902.73,810.592 1900.9,814.171 1898.99,817.683 1896.99,821.124 \n",
" 1894.91,824.49 1892.75,827.778 1890.51,830.984 1888.2,834.106 1885.82,837.141 1883.36,840.084 1880.84,842.932 1878.25,845.683 1875.59,848.334 1872.88,850.88 \n",
" 1870.1,853.319 1867.27,855.647 1864.39,857.864 1861.45,859.966 1858.47,861.952 1855.44,863.818 1852.36,865.561 1849.25,867.18 1846.1,868.67 1842.92,870.032 \n",
" 1839.71,871.262 1836.47,872.359 1833.21,873.321 1829.92,874.147 1826.62,874.837 1823.3,875.388 1819.97,875.8 1816.63,876.074 1813.29,876.207 1809.94,876.201 \n",
" 1806.6,876.055 1803.25,875.77 1799.92,875.346 1796.6,874.784 1793.29,874.084 1790,873.248 1786.74,872.276 1783.49,871.171 1780.28,869.934 1777.09,868.567 \n",
" 1773.95,867.072 1770.83,865.45 1767.76,863.703 1764.74,861.832 1761.75,859.842 1758.82,857.733 1755.94,855.509 1753.11,853.173 1750.34,850.728 1747.62,848.176 \n",
" 1744.97,845.52 1742.39,842.764 1739.87,839.91 1737.42,836.962 1735.04,833.923 1732.74,830.795 1730.51,827.582 1728.36,824.288 1726.28,820.915 1724.29,817.467 \n",
" 1722.38,813.948 1720.56,810.361 1718.82,806.709 1717.17,802.996 1715.6,799.226 1714.13,795.403 1712.75,791.529 1711.46,787.61 1710.26,783.648 1709.16,779.648 \n",
" 1708.16,775.612 1707.24,771.544 1706.43,767.447 1705.7,763.324 1705.08,759.178 1704.56,755.013 1704.13,750.831 1703.8,746.637 1703.57,742.433 1703.45,738.223 \n",
" 1703.42,734.011 1703.49,729.798 1703.67,725.59 1703.94,721.389 1704.32,717.198 1704.8,713.022 1705.37,708.862 1706.05,704.724 1706.82,700.61 1707.7,696.523 \n",
" 1708.67,692.468 1709.73,688.448 1710.9,684.465 1712.16,680.525 1713.51,676.629 1714.95,672.782 1716.49,668.987 1718.11,665.249 1719.83,661.569 1721.63,657.952 \n",
" 1723.51,654.402 1725.48,650.922 1727.53,647.516 1729.66,644.187 1731.86,640.94 1734.14,637.776 1736.49,634.701 1738.91,631.714 1741.41,628.819 1743.97,626.021 \n",
" 1746.59,623.322 1749.28,620.726 1752.03,618.236 1754.83,615.856 1757.7,613.587 1760.61,611.434 1763.57,609.398 1766.58,607.483 1769.64,605.689 1772.73,604.021 \n",
" 1775.87,602.479 1779.04,601.065 1782.24,599.782 1785.47,598.631 1788.73,597.612 1792.01,596.729 1795.3,595.981 1798.62,595.37 1801.95,594.896 1805.29,594.56 \n",
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" 1293.6,681.689 1294,681.385 1294.41,681.077 1294.82,680.763 1295.23,680.444 1295.64,680.12 1296.05,679.79 1296.47,679.455 1296.89,679.114 1297.31,678.768 \n",
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" 1306.84,670.181 1307.33,669.706 1307.82,669.225 1308.31,668.738 1308.81,668.245 1309.32,667.745 1309.82,667.239 1310.33,666.726 1310.85,666.207 1311.36,665.681 \n",
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" 1317.32,659.448 1317.89,658.839 1318.46,658.223 1319.04,657.599 1319.62,656.968 1320.21,656.329 1320.8,655.683 1321.39,655.029 1321.99,654.368 1322.6,653.699 \n",
" 1323.21,653.022 1323.83,652.337 1324.45,651.645 1325.07,650.944 1325.7,650.236 1326.34,649.519 1326.98,648.795 1327.63,648.062 1328.28,647.321 1328.94,646.572 \n",
" 1329.61,645.815 1330.28,645.049 1330.95,644.274 1331.64,643.492 1332.32,642.7 1333.02,641.9 1333.72,641.092 1334.43,640.274 1335.14,639.448 1335.86,638.613 \n",
" 1336.58,637.77 1337.31,636.917 1338.05,636.055 1338.8,635.184 1339.55,634.304 1340.31,633.415 1341.07,632.517 1341.84,631.61 1342.62,630.693 1343.41,629.767 \n",
" 1344.2,628.831 1345,627.886 1345.81,626.931 1346.63,625.967 1347.45,624.993 1348.28,624.009 1349.11,623.016 1349.96,622.012 1350.81,620.999 1351.67,619.976 \n",
" 1352.54,618.943 1353.42,617.9 1354.3,616.846 1355.19,615.783 1356.09,614.709 1357,613.625 1357.92,612.531 1358.84,611.426 1359.77,610.311 1360.72,609.185 \n",
" 1361.67,608.049 1362.63,606.902 1363.59,605.745 1364.57,604.577 1365.55,603.398 1366.55,602.208 1367.55,601.007 1368.56,599.795 1369.59,598.573 1370.62,597.339 \n",
" 1371.66,596.094 1372.71,594.838 1373.77,593.571 1374.83,592.292 1375.91,591.003 1377,589.701 1378.1,588.389 1379.21,587.065 1380.32,585.729 1381.45,584.381 \n",
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" 1257.97,641.589 1258.67,641.75 1259.37,641.902 1260.07,642.046 1260.77,642.18 1261.46,642.304 1262.16,642.42 1262.85,642.527 1263.55,642.624 1264.24,642.712 \n",
" 1264.93,642.792 1265.62,642.862 1266.32,642.923 1267.01,642.975 1267.7,643.018 1268.39,643.052 1269.08,643.076 1269.77,643.092 1270.46,643.099 1271.15,643.096 \n",
" 1271.84,643.085 1272.53,643.065 1273.22,643.035 1273.91,642.997 1274.6,642.949 1275.29,642.892 1275.99,642.827 1276.68,642.752 1277.37,642.668 1278.07,642.575 \n",
" 1278.76,642.473 1279.46,642.362 1280.15,642.242 1280.85,642.113 1281.55,641.974 1282.25,641.827 1282.95,641.67 1283.65,641.504 1284.35,641.329 1285.06,641.144 \n",
" 1285.76,640.951 1286.47,640.748 1287.18,640.536 1287.89,640.314 1288.6,640.084 1289.31,639.844 1290.03,639.595 1290.75,639.336 1291.46,639.068 1292.19,638.79 \n",
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" 1300.28,635.111 1301.03,634.719 1301.78,634.317 1302.54,633.906 1303.3,633.484 1304.06,633.053 1304.83,632.612 1305.6,632.161 1306.37,631.7 1307.15,631.229 \n",
" 1307.93,630.748 1308.72,630.257 1309.51,629.756 1310.3,629.245 1311.09,628.724 1311.89,628.192 1312.7,627.651 1313.5,627.099 1314.32,626.537 1315.13,625.964 \n",
" 1315.95,625.381 1316.78,624.788 1317.61,624.184 1318.44,623.57 1319.28,622.946 1320.13,622.31 1320.97,621.664 1321.83,621.008 1322.69,620.34 1323.55,619.662 \n",
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" 1471.9,467.36 1473.92,465.278 1475.95,463.185 1477.99,461.082 1480.06,458.968 1482.13,456.845 1484.23,454.712 1486.34,452.569 1488.46,450.418 1490.6,448.257 \n",
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" 1565.22,378.996 1567.9,376.764 1570.59,374.538 1573.3,372.318 1576.03,370.104 1578.78,367.898 1581.54,365.699 1584.31,363.509 1587.11,361.328 1589.92,359.156 \n",
" 1592.74,356.994 1595.59,354.844 1598.44,352.704 1601.32,350.577 1604.21,348.462 1607.11,346.36 1610.03,344.272 1612.97,342.199 1615.92,340.141 1618.89,338.099 \n",
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" 1652.5,316.875 1655.64,315.077 1658.8,313.304 1661.96,311.557 1665.14,309.836 1668.34,308.143 1671.54,306.477 1674.76,304.841 1677.99,303.234 1681.23,301.658 \n",
" 1684.48,300.113 1687.74,298.6 1691.02,297.12 1694.3,295.674 1697.6,294.262 1700.91,292.886 1704.23,291.546 1707.56,290.243 1710.89,288.978 1714.24,287.75 \n",
" 1717.6,286.561 1720.96,285.41 1724.33,284.298 1727.71,283.226 1731.1,282.194 1734.49,281.202 1737.9,280.251 1741.3,279.341 1744.72,278.472 1748.14,277.645 \n",
" 1751.57,276.86 1755,276.117 1758.43,275.416 1761.87,274.758 1765.32,274.143 1768.77,273.572 1772.22,273.043 1775.68,272.559 1779.13,272.118 1782.6,271.72 \n",
" 1786.06,271.367 1789.53,271.058 1792.99,270.794 1796.46,270.573 1799.93,270.397 1803.4,270.266 1806.87,270.179 1810.35,270.136 1813.82,270.138 1817.29,270.185 \n",
" 1820.76,270.276 1824.23,270.412 1827.7,270.592 1831.16,270.817 1834.63,271.086 1838.09,271.399 1841.55,271.756 1845.01,272.157 1848.46,272.602 1851.92,273.091 \n",
" 1855.36,273.623 1858.81,274.198 1862.25,274.817 1865.68,275.478 1869.11,276.182 1872.54,276.928 1875.96,277.716 1879.37,278.546 1882.78,279.418 1886.18,280.331 \n",
" 1889.58,281.284 1892.97,282.278 1896.35,283.312 1899.73,284.386 1903.09,285.5 1906.45,286.652 1909.81,287.842 1913.15,289.071 1916.48,290.337 1919.81,291.641 \n",
" 1923.13,292.981 1926.44,294.357 1929.74,295.769 1933.02,297.215 1936.3,298.697 1939.57,300.212 1942.83,301.76 1946.08,303.341 1949.31,304.955 1952.54,306.599 \n",
" 1955.75,308.275 1958.95,309.981 1962.14,311.716 1965.32,313.48 1968.48,315.272 1971.63,317.091 1974.77,318.937 1977.89,320.809 1981.01,322.706 1984.1,324.627 \n",
" 1987.19,326.571 1990.26,328.538 1993.31,330.527 1996.35,332.537 1999.38,334.567 2002.39,336.616 2005.38,338.683 2008.36,340.768 2011.33,342.869 2014.27,344.986 \n",
" 2017.2,347.117 2020.12,349.261 2023.02,351.418 2025.9,353.587 2028.76,355.766 2031.61,357.954 2034.44,360.151 2037.25,362.355 2040.04,364.566 2042.82,366.781 \n",
" 2045.58,369 2048.32,371.223 2051.04,373.446 2053.74,375.673 2056.42,377.905 2059.09,380.143 2061.74,382.385 2064.38,384.632 2066.99,386.882 2069.59,389.135 \n",
" 2072.18,391.39 2074.74,393.648 2077.29,395.906 2079.83,398.166 2082.34,400.427 2084.84,402.687 2087.33,404.947 2089.79,407.206 2092.24,409.463 2094.67,411.719 \n",
" 2097.09,413.972 2099.48,416.223 2101.86,418.47 2104.23,420.714 2106.58,422.954 2108.91,425.189 2111.22,427.42 2113.52,429.646 2115.8,431.867 2118.06,434.081 \n",
" \n",
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" 198.885,596.474 199.925,596.331 200.966,596.175 202.008,596.005 203.052,595.821 204.097,595.624 205.143,595.413 206.192,595.188 207.242,594.95 208.293,594.698 \n",
" 209.347,594.432 210.403,594.153 211.461,593.86 212.521,593.553 213.584,593.232 214.649,592.897 215.716,592.549 216.786,592.186 217.859,591.81 218.935,591.42 \n",
" 220.014,591.016 221.096,590.598 222.181,590.166 223.269,589.72 224.361,589.26 225.456,588.786 226.555,588.298 227.658,587.796 228.764,587.279 229.875,586.749 \n",
" 230.989,586.204 232.107,585.646 233.23,585.073 234.357,584.485 235.489,583.884 236.625,583.268 237.765,582.637 238.911,581.993 240.061,581.334 241.217,580.66 \n",
" 242.377,579.972 243.543,579.269 244.714,578.552 245.89,577.82 247.072,577.074 248.26,576.313 249.453,575.537 250.652,574.747 251.857,573.941 253.069,573.121 \n",
" 254.286,572.286 255.51,571.437 256.74,570.572 257.977,569.692 259.22,568.798 260.47,567.888 261.727,566.963 262.991,566.024 264.262,565.069 265.541,564.099 \n",
" 266.826,563.114 268.119,562.114 269.42,561.098 270.728,560.067 272.044,559.021 273.368,557.96 274.7,556.883 276.04,555.791 277.389,554.683 278.745,553.561 \n",
" 280.11,552.422 281.484,551.268 282.866,550.099 284.258,548.914 285.658,547.713 287.067,546.497 288.485,545.266 289.913,544.018 291.35,542.755 292.797,541.477 \n",
" 294.253,540.183 295.719,538.873 297.194,537.547 298.68,536.206 300.176,534.849 301.682,533.476 303.198,532.088 304.725,530.684 306.263,529.264 307.811,527.828 \n",
" 309.37,526.377 310.94,524.91 312.521,523.427 314.113,521.929 315.716,520.415 317.331,518.885 318.957,517.339 320.595,515.779 322.245,514.202 323.907,512.61 \n",
" 325.58,511.003 327.266,509.38 328.964,507.742 330.674,506.088 332.397,504.419 334.132,502.736 335.88,501.037 337.641,499.322 339.415,497.593 341.201,495.849 \n",
" 343.001,494.09 344.814,492.317 346.64,490.529 348.48,488.726 350.333,486.908 352.2,485.077 354.08,483.231 355.975,481.37 357.883,479.496 359.806,477.608 \n",
" 361.743,475.706 363.694,473.79 365.659,471.861 367.639,469.918 369.634,467.962 371.643,465.993 373.667,464.012 375.705,462.017 377.759,460.01 379.828,457.991 \n",
" 381.912,455.96 384.011,453.917 386.126,451.862 388.256,449.795 390.401,447.718 392.563,445.629 394.74,443.529 396.932,441.419 399.141,439.299 401.366,437.169 \n",
" 403.606,435.029 405.863,432.88 408.136,430.722 410.425,428.555 412.731,426.379 415.052,424.196 417.39,422.005 419.745,419.806 422.116,417.601 424.504,415.388 \n",
" 426.908,413.17 429.329,410.946 431.766,408.716 434.221,406.481 436.692,404.242 439.179,401.998 441.684,399.751 444.205,397.501 446.743,395.247 449.298,392.991 \n",
" 451.87,390.734 454.459,388.475 457.065,386.215 459.687,383.955 462.327,381.695 464.983,379.435 467.657,377.177 470.347,374.921 473.054,372.666 475.778,370.415 \n",
" 478.519,368.167 481.276,365.924 484.051,363.684 486.842,361.449 489.65,359.22 492.475,356.996 495.316,354.779 498.174,352.57 501.049,350.369 503.94,348.177 \n",
" 506.847,345.996 509.771,343.824 512.711,341.664 515.666,339.517 518.638,337.382 521.626,335.26 524.63,333.153 527.649,331.061 530.684,328.985 533.735,326.926 \n",
" 536.801,324.883 539.882,322.859 542.978,320.853 546.089,318.867 549.215,316.901 552.355,314.956 555.51,313.032 558.679,311.131 561.863,309.253 565.06,307.398 \n",
" 568.272,305.568 571.496,303.763 574.735,301.983 577.986,300.23 581.251,298.505 584.528,296.807 587.818,295.137 591.12,293.497 594.435,291.887 597.761,290.307 \n",
" 601.1,288.759 604.449,287.242 607.81,285.758 611.182,284.307 614.565,282.89 617.958,281.507 621.362,280.16 624.775,278.849 628.199,277.574 631.631,276.336 \n",
" 635.073,275.136 638.523,273.974 641.983,272.852 645.45,271.769 648.925,270.726 652.408,269.725 655.899,268.765 659.396,267.847 662.9,266.972 666.41,266.14 \n",
" 669.927,265.353 673.449,264.609 676.976,263.91 680.509,263.256 684.046,262.646 687.587,262.082 691.132,261.563 694.68,261.089 698.232,260.661 701.787,260.279 \n",
" 705.344,259.942 708.903,259.652 712.463,259.407 716.026,259.209 719.589,259.057 723.153,258.951 726.718,258.891 730.282,258.877 733.846,258.91 737.41,258.989 \n",
" 740.973,259.113 744.534,259.284 748.094,259.501 751.652,259.763 755.208,260.071 758.761,260.425 762.311,260.824 765.858,261.268 769.402,261.757 772.942,262.291 \n",
" 776.477,262.87 780.009,263.493 783.535,264.159 787.057,264.87 790.573,265.624 794.083,266.421 797.588,267.261 801.086,268.143 804.578,269.068 808.063,270.034 \n",
" 811.541,271.041 815.011,272.089 818.474,273.178 821.929,274.306 825.376,275.474 828.814,276.681 832.243,277.926 835.663,279.21 839.074,280.53 842.475,281.888 \n",
" 845.867,283.281 849.248,284.711 852.619,286.175 855.979,287.674 859.328,289.206 862.666,290.772 865.993,292.37 869.308,293.999 872.611,295.66 875.901,297.351 \n",
" 879.18,299.071 882.445,300.82 885.698,302.597 888.937,304.401 892.163,306.231 895.376,308.087 898.574,309.967 901.758,311.871 904.928,313.797 908.084,315.746 \n",
" 911.224,317.715 914.35,319.705 917.46,321.713 920.554,323.74 923.633,325.784 926.696,327.843 929.743,329.918 932.774,332.007 935.788,334.108 938.785,336.222 \n",
" 941.765,338.347 944.73,340.485 947.678,342.636 950.61,344.798 953.526,346.971 956.426,349.155 959.309,351.347 962.176,353.549 965.026,355.759 967.86,357.976 \n",
" 970.677,360.201 973.477,362.431 976.261,364.667 979.028,366.908 981.778,369.154 984.511,371.403 987.228,373.656 989.928,375.911 992.61,378.168 995.276,380.427 \n",
" 997.926,382.687 1000.56,384.947 1003.17,387.207 1005.77,389.467 1008.35,391.725 1010.92,393.982 1013.47,396.237 1016,398.489 1018.51,400.738 1021.01,402.984 \n",
" 1023.49,405.226 1025.95,407.463 1028.4,409.696 1030.83,411.923 1033.24,414.145 1035.64,416.361 1038.02,418.57 1040.38,420.773 1042.73,422.968 1045.06,425.156 \n",
" 1047.38,427.336 1049.68,429.508 1051.96,431.671 1054.22,433.826 1056.47,435.971 1058.71,438.107 1060.92,440.233 1063.13,442.349 1065.31,444.455 1067.48,446.55 \n",
" 1069.64,448.634 1071.77,450.707 1073.9,452.769 1076.01,454.819 1078.1,456.857 1080.18,458.883 1082.24,460.897 1084.29,462.897 1086.32,464.885 1088.34,466.86 \n",
" 1090.34,468.822 1092.33,470.77 1094.3,472.705 1096.26,474.627 1098.2,476.535 1100.14,478.429 1102.05,480.31 1103.95,482.176 1105.84,484.029 1107.72,485.868 \n",
" 1109.58,487.692 1111.43,489.502 1113.26,491.298 1115.08,493.079 1116.89,494.846 1118.68,496.598 1120.47,498.336 1122.23,500.059 1123.99,501.767 1125.73,503.46 \n",
" 1127.46,505.138 1129.18,506.801 1130.89,508.448 1132.58,510.081 1134.26,511.699 1135.93,513.301 1137.59,514.888 1139.23,516.459 1140.87,518.015 1142.49,519.556 \n",
" 1144.1,521.081 1145.7,522.591 1147.28,524.085 1148.86,525.563 1150.43,527.026 1151.98,528.473 1153.52,529.905 1155.06,531.32 1156.58,532.72 1158.09,534.105 \n",
" 1159.59,535.473 1161.08,536.826 1162.57,538.163 1164.04,539.484 1165.5,540.79 1166.95,542.079 1168.39,543.353 1169.82,544.611 1171.25,545.854 1172.66,547.08 \n",
" 1174.06,548.291 1175.46,549.486 1176.85,550.666 1178.22,551.83 1179.59,552.978 1180.95,554.11 1182.3,555.227 1183.65,556.329 1184.98,557.415 1186.31,558.485 \n",
" 1187.63,559.54 1188.94,560.58 1190.24,561.604 1191.54,562.613 1192.83,563.607 1194.11,564.585 1195.39,565.549 1196.65,566.497 1197.91,567.43 1199.17,568.349 \n",
" 1200.41,569.252 1201.65,570.141 1202.88,571.015 1204.11,571.874 1205.33,572.718 1206.55,573.547 1207.76,574.361 1208.96,575.161 1210.15,575.945 1211.34,576.715 \n",
" 1212.53,577.471 1213.71,578.211 1214.88,578.937 1216.05,579.649 1217.21,580.346 1218.37,581.028 1219.53,581.696 1220.67,582.35 1221.82,582.989 1222.96,583.614 \n",
" 1224.09,584.225 1225.22,584.821 1226.34,585.403 1227.46,585.971 1228.58,586.524 1229.69,587.064 1230.8,587.589 1231.9,588.1 1233.01,588.597 1234.1,589.081 \n",
" 1235.2,589.55 1236.29,590.005 1237.37,590.446 1238.45,590.873 1239.53,591.286 1240.61,591.685 1241.69,592.071 1242.76,592.442 1243.82,592.8 1244.89,593.144 \n",
" 1245.95,593.474 1247.01,593.791 1248.07,594.093 1249.13,594.382 1250.18,594.657 1251.23,594.918 1252.28,595.166 1253.33,595.4 1254.38,595.62 1255.42,595.827 \n",
" 1256.47,596.02 1257.51,596.199 1258.55,596.365 1259.59,596.517 1260.63,596.655 1261.66,596.78 1262.7,596.891 1263.74,596.989 1264.77,597.073 1265.81,597.143 \n",
" 1266.84,597.2 1267.87,597.243 1268.91,597.273 1269.94,597.289 1270.97,597.292 1272.01,597.281 1273.04,597.256 1274.07,597.218 1275.11,597.166 1276.14,597.101 \n",
" 1277.18,597.022 1278.21,596.929 1279.25,596.823 1280.29,596.703 1281.32,596.57 1282.36,596.423 1283.4,596.263 1284.44,596.089 1285.49,595.901 1286.53,595.699 \n",
" 1287.58,595.484 1288.63,595.255 1289.68,595.013 1290.73,594.757 1291.78,594.487 1292.83,594.203 1293.89,593.906 1294.95,593.594 1296.01,593.269 1297.08,592.93 \n",
" 1298.14,592.578 1299.21,592.211 1300.28,591.83 1301.36,591.436 1302.44,591.027 1303.52,590.604 1304.6,590.168 1305.69,589.717 1306.78,589.252 1307.88,588.773 \n",
" 1308.97,588.28 1310.08,587.773 1311.18,587.252 1312.29,586.716 1313.4,586.166 1314.52,585.602 1315.64,585.024 1316.77,584.431 1317.9,583.824 1319.04,583.203 \n",
" 1320.18,582.567 1321.32,581.917 1322.47,581.252 1323.63,580.573 1324.79,579.879 1325.96,579.171 1327.13,578.448 1328.3,577.711 1329.49,576.959 1330.67,576.192 \n",
" 1331.87,575.411 1333.07,574.615 1334.27,573.805 1335.49,572.979 1336.7,572.139 1337.93,571.284 1339.16,570.414 1340.4,569.53 1341.64,568.63 1342.89,567.716 \n",
" 1344.15,566.787 1345.42,565.842 1346.69,564.883 1347.97,563.909 1349.26,562.919 1350.55,561.915 1351.86,560.896 1353.17,559.861 1354.49,558.811 1355.81,557.746 \n",
" 1357.15,556.666 1358.49,555.571 1359.84,554.46 1361.2,553.334 1362.57,552.193 1363.94,551.036 1365.33,549.864 1366.72,548.677 1368.12,547.474 1369.54,546.256 \n",
" 1370.96,545.022 1372.39,543.773 1373.83,542.508 1375.28,541.228 1376.74,539.932 1378.21,538.62 1379.68,537.293 1381.17,535.95 1382.67,534.591 1384.18,533.217 \n",
" 1385.7,531.826 1387.23,530.42 1388.77,528.999 1390.32,527.561 1391.88,526.107 1393.45,524.638 1395.04,523.152 1396.63,521.651 1398.24,520.134 1399.85,518.6 \n",
" 1401.48,517.052 1403.12,515.488 1404.77,513.909 1406.43,512.315 1408.11,510.706 1409.8,509.081 1411.49,507.442 1413.2,505.786 1414.93,504.116 1416.66,502.43 \n",
" 1418.41,500.73 1420.17,499.014 1421.95,497.282 1423.73,495.536 1425.53,493.775 1427.35,491.999 1429.17,490.207 1431.01,488.401 1432.87,486.581 1434.74,484.745 \n",
" 1436.62,482.895 1438.51,481.031 1440.42,479.153 1442.35,477.26 1444.29,475.353 1446.24,473.433 1448.21,471.498 1450.19,469.55 1452.19,467.589 1454.2,465.615 \n",
" 1456.23,463.627 1458.27,461.627 1460.33,459.614 1462.4,457.589 1464.49,455.552 1466.59,453.503 1468.71,451.442 1470.85,449.369 1473,447.286 1475.16,445.191 \n",
" 1477.34,443.086 1479.54,440.971 1481.76,438.845 1483.98,436.71 1486.23,434.565 1488.49,432.411 1490.77,430.248 1493.06,428.077 1495.37,425.897 1497.7,423.71 \n",
" 1500.04,421.515 1502.4,419.313 1504.78,417.104 1507.17,414.889 1509.58,412.668 1512.01,410.442 1514.45,408.21 1516.91,405.973 1519.38,403.733 1521.87,401.488 \n",
" 1524.38,399.239 1526.91,396.988 1529.45,394.734 1532.01,392.478 1534.59,390.22 1537.18,387.962 1539.79,385.702 1542.42,383.442 1545.06,381.183 1547.72,378.924 \n",
" 1550.4,376.667 1553.09,374.412 1555.8,372.159 1558.53,369.909 1561.27,367.662 1564.03,365.42 1566.81,363.182 1569.61,360.949 1572.42,358.719 1575.25,356.494 \n",
" 1578.09,354.274 1580.96,352.06 1583.84,349.853 1586.73,347.655 1589.64,345.466 1592.57,343.286 1595.52,341.118 1598.48,338.962 1601.46,336.818 1604.45,334.688 \n",
" 1607.46,332.573 1610.48,330.473 1613.52,328.389 1616.58,326.322 1619.65,324.274 1622.73,322.244 1625.83,320.234 1628.95,318.244 1632.08,316.276 1635.23,314.329 \n",
" 1638.38,312.405 1641.56,310.505 1644.74,308.629 1647.95,306.777 1651.16,304.952 1654.39,303.153 1657.63,301.381 1660.88,299.637 1664.15,297.921 1667.43,296.235 \n",
" 1670.72,294.578 1674.03,292.952 1677.35,291.357 1680.67,289.793 1684.01,288.262 1687.37,286.764 1690.73,285.299 1694.1,283.868 1697.49,282.472 1700.88,281.111 \n",
" 1704.28,279.786 1707.7,278.497 1711.12,277.244 1714.56,276.029 1718,274.852 1721.45,273.713 1724.91,272.613 1728.38,271.552 1731.85,270.531 1735.34,269.55 \n",
" 1738.83,268.609 1742.33,267.709 1745.83,266.851 1749.34,266.034 1752.86,265.26 1756.38,264.528 1759.91,263.839 1763.44,263.193 1766.98,262.59 1770.53,262.032 \n",
" 1774.07,261.517 1777.63,261.048 1781.18,260.623 1784.74,260.243 1788.3,259.908 1791.86,259.619 1795.43,259.376 1798.99,259.179 1802.56,259.028 1806.13,258.924 \n",
" 1809.7,258.867 1813.27,258.856 1816.84,258.893 1820.41,258.977 1823.98,259.108 1827.55,259.287 1831.11,259.514 1834.67,259.788 1838.23,260.111 1841.79,260.482 \n",
" 1845.35,260.905 1848.9,261.378 1852.44,261.9 1855.98,262.471 1859.52,263.09 1863.05,263.756 1866.58,264.469 1870.1,265.228 1873.62,266.032 1877.13,266.88 \n",
" 1880.63,267.772 1884.12,268.707 1887.61,269.684 1891.09,270.703 1894.56,271.762 1898.03,272.862 1901.49,274.001 1904.93,275.179 1908.37,276.395 1911.8,277.648 \n",
" 1915.22,278.937 1918.63,280.263 1922.03,281.624 1925.42,283.019 1928.8,284.449 1932.17,285.911 1935.53,287.406 1938.88,288.932 1942.21,290.49 1945.53,292.078 \n",
" 1948.85,293.696 1952.15,295.343 1955.43,297.018 1958.71,298.721 1961.97,300.452 1965.22,302.208 1968.45,303.99 1971.68,305.797 1974.89,307.629 1978.08,309.484 \n",
" 1981.26,311.362 1984.43,313.263 1987.58,315.186 1990.72,317.129 1993.85,319.093 1996.96,321.077 2000.05,323.08 2003.13,325.101 2006.2,327.141 2009.25,329.197 \n",
" 2012.28,331.27 2015.3,333.359 2018.3,335.463 2021.29,337.582 2024.26,339.715 2027.22,341.862 2030.16,344.021 2033.08,346.192 2035.99,348.375 2038.88,350.568 \n",
" 2041.75,352.772 2044.61,354.986 2047.45,357.208 2050.28,359.439 2053.09,361.678 2055.88,363.924 2058.65,366.177 2061.41,368.435 2064.15,370.699 2066.87,372.968 \n",
" 2069.58,375.241 2072.27,377.517 2074.94,379.797 2077.6,382.079 2080.24,384.362 2082.86,386.647 2085.46,388.932 2088.05,391.218 2090.62,393.503 2093.17,395.786 \n",
" 2095.71,398.068 2098.23,400.348 2100.73,402.625 2103.21,404.898 2105.68,407.167 2108.13,409.432 2110.56,411.691 2112.98,413.945 2115.38,416.192 2117.76,418.432 \n",
" 2120.12,420.665 2122.47,422.89 2124.81,425.107 2127.12,427.314 2129.42,429.511 2131.7,431.699 2133.97,433.875 2136.22,436.04 2138.45,438.194 2140.67,440.335 \n",
" 2142.87,442.463 2145.05,444.579 2147.22,446.684 2149.37,448.778 2151.51,450.861 2153.63,452.932 2155.74,454.992 2157.83,457.04 2159.91,459.076 2161.97,461.1 \n",
" 2164.02,463.112 2166.05,465.112 2168.06,467.099 2170.06,469.074 2172.05,471.036 2174.02,472.985 2175.98,474.921 2177.92,476.845 2179.85,478.755 2181.76,480.651 \n",
" 2183.67,482.535 2185.55,484.405 2187.42,486.261 2189.28,488.103 2191.13,489.932 2192.96,491.747 2194.78,493.547 2196.58,495.334 2198.37,497.106 2200.15,498.864 \n",
" 2201.91,500.608 2203.67,502.338 2205.41,504.052 2207.13,505.753 2208.85,507.438 2210.55,509.109 2212.23,510.765 2213.91,512.406 2215.57,514.032 2217.23,515.644 \n",
" 2218.87,517.24 2220.49,518.821 2222.11,520.387 2223.71,521.938 2225.31,523.473 2226.89,524.994 2228.46,526.499 2230.02,527.988 2231.56,529.463 2233.1,530.921 \n",
" 2234.63,532.365 2236.14,533.793 2237.64,535.205 2239.14,536.602 2240.62,537.984 2242.09,539.35 2243.56,540.7 2245.01,542.035 2246.45,543.355 2247.88,544.659 \n",
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" 2275.88,568.476 2277.12,569.444 2278.36,570.396 2279.59,571.334 2280.82,572.257 2282.03,573.166 2283.24,574.06 2284.45,574.939 2285.64,575.804 2286.83,576.655 \n",
" 2288.02,577.492 2289.2,578.315 2290.37,579.123 2291.53,579.917 2292.7,580.696 2293.85,581.462 2295,582.213 2296.14,582.95 2297.28,583.672 2298.41,584.381 \n",
" 2299.54,585.075 2300.66,585.755 2301.78,586.422 2302.89,587.074 2304,587.713 2305.1,588.337 2306.2,588.948 2307.29,589.544 2308.38,590.127 2309.47,590.696 \n",
" 2310.55,591.251 2311.63,591.793 2312.7,592.321 2313.77,592.835 2314.83,593.336 2315.89,593.822 2316.95,594.296 2318,594.756 2319.06,595.202 2320.1,595.635 \n",
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" 1034.52,392.873 1037.08,395.086 1039.62,397.291 1042.14,399.489 1044.65,401.678 1047.14,403.859 1049.61,406.032 1052.07,408.195 1054.51,410.349 1056.94,412.493 \n",
" 1059.35,414.626 1061.74,416.749 1064.12,418.861 1066.48,420.962 1068.83,423.051 1071.16,425.128 1073.47,427.192 1075.77,429.245 1078.06,431.284 1080.33,433.31 \n",
" 1082.58,435.323 1084.82,437.323 1087.04,439.308 1089.25,441.279 1091.45,443.237 1093.63,445.179 1095.79,447.107 1097.94,449.019 1100.08,450.916 1102.2,452.797 \n",
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" 1124.65,472.429 1126.61,474.114 1128.56,475.782 1130.5,477.433 1132.43,479.066 1134.34,480.683 1136.24,482.281 1138.13,483.863 1140.01,485.427 1141.87,486.973 \n",
" 1143.73,488.501 1145.57,490.012 1147.4,491.505 1149.22,492.979 1151.03,494.436 1152.83,495.875 1154.62,497.295 1156.39,498.698 1158.16,500.082 1159.92,501.447 \n",
" 1161.66,502.795 1163.4,504.124 1165.13,505.435 1166.84,506.727 1168.55,508 1170.25,509.255 1171.94,510.492 1173.61,511.71 1175.28,512.909 1176.94,514.09 \n",
" 1178.6,515.252 1180.24,516.395 1181.87,517.519 1183.5,518.625 1185.12,519.712 1186.73,520.78 1188.33,521.83 1189.93,522.861 1191.51,523.873 1193.09,524.866 \n",
" 1194.66,525.841 1196.23,526.797 1197.78,527.734 1199.34,528.652 1200.88,529.552 1202.42,530.433 1203.95,531.296 1205.47,532.14 1206.99,532.965 1208.5,533.772 \n",
" 1210.01,534.56 1211.51,535.33 1213,536.081 1214.49,536.814 1215.97,537.529 1217.45,538.225 1218.92,538.903 1220.39,539.562 1221.85,540.202 1223.31,540.824 \n",
" 1224.77,541.428 1226.22,542.013 1227.66,542.58 1229.1,543.128 1230.54,543.658 1231.97,544.169 1233.4,544.662 1234.83,545.137 1236.25,545.593 1237.67,546.032 \n",
" 1239.09,546.452 1240.5,546.853 1241.91,547.237 1243.31,547.602 1244.72,547.949 1246.12,548.278 1247.52,548.589 1248.92,548.881 1250.31,549.156 1251.7,549.412 \n",
" 1253.09,549.65 1254.48,549.87 1255.87,550.072 1257.26,550.256 1258.64,550.422 1260.03,550.57 1261.41,550.7 1262.79,550.811 1264.17,550.905 1265.55,550.98 \n",
" 1266.93,551.038 1268.31,551.077 1269.69,551.099 1271.07,551.102 1272.45,551.088 1273.83,551.055 1275.21,551.004 1276.59,550.936 1277.97,550.849 1279.35,550.744 \n",
" 1280.73,550.621 1282.12,550.48 1283.5,550.321 1284.89,550.144 1286.27,549.949 1287.66,549.735 1289.05,549.504 1290.44,549.255 1291.84,548.987 1293.23,548.701 \n",
" 1294.63,548.397 1296.03,548.075 1297.44,547.735 1298.84,547.377 1300.25,547 1301.66,546.605 1303.08,546.192 1304.5,545.761 1305.92,545.312 1307.34,544.844 \n",
" 1308.77,544.358 1310.2,543.853 1311.64,543.33 1313.08,542.789 1314.52,542.23 1315.97,541.652 1317.42,541.055 1318.88,540.44 1320.34,539.807 1321.81,539.155 \n",
" 1323.28,538.485 1324.75,537.796 1326.24,537.088 1327.72,536.362 1329.21,535.617 1330.71,534.854 1332.21,534.073 1333.72,533.273 1335.24,532.455 1336.76,531.618 \n",
" 1338.29,530.763 1339.82,529.889 1341.36,528.996 1342.9,528.085 1344.46,527.155 1346.02,526.206 1347.59,525.239 1349.16,524.252 1350.74,523.247 1352.33,522.223 \n",
" 1353.93,521.18 1355.53,520.118 1357.15,519.038 1358.77,517.939 1360.4,516.82 1362.04,515.683 1363.69,514.528 1365.34,513.353 1367.01,512.16 1368.68,510.947 \n",
" 1370.37,509.717 1372.06,508.467 1373.76,507.199 1375.47,505.912 1377.19,504.606 1378.93,503.282 1380.67,501.94 1382.42,500.579 1384.18,499.199 1385.96,497.801 \n",
" 1387.74,496.385 1389.54,494.951 1391.34,493.499 1393.16,492.028 1394.99,490.54 1396.83,489.033 1398.68,487.509 1400.54,485.967 1402.41,484.407 1404.3,482.83 \n",
" 1406.2,481.235 1408.11,479.623 1410.03,477.993 1411.96,476.347 1413.91,474.683 1415.87,473.002 1417.84,471.305 1419.83,469.591 1421.82,467.86 1423.83,466.112 \n",
" 1425.86,464.349 1427.9,462.569 1429.95,460.773 1432.01,458.961 1434.09,457.133 1436.18,455.29 1438.28,453.431 1440.4,451.557 1442.54,449.668 1444.68,447.764 \n",
" 1446.85,445.844 1449.02,443.911 1451.21,441.962 1453.42,440 1455.64,438.023 1457.87,436.032 1460.12,434.027 1462.38,432.009 1464.66,429.978 1466.96,427.933 \n",
" 1469.27,425.875 1471.59,423.804 1473.93,421.721 1476.29,419.626 1478.66,417.518 1481.05,415.399 1483.45,413.269 1485.87,411.128 1488.31,408.977 1490.76,406.816 \n",
" 1493.23,404.646 1495.71,402.467 1498.21,400.279 1500.72,398.083 1503.26,395.88 1505.81,393.669 1508.37,391.452 1510.95,389.228 1513.55,386.999 1516.17,384.764 \n",
" 1518.8,382.525 1521.45,380.281 1524.12,378.033 1526.8,375.783 1529.5,373.529 1532.22,371.274 1534.96,369.017 1537.71,366.758 1540.48,364.5 1543.26,362.241 \n",
" 1546.06,359.983 1548.88,357.726 1551.72,355.471 1554.57,353.219 1557.44,350.969 1560.33,348.724 1563.23,346.482 1566.15,344.246 1569.09,342.015 1572.05,339.79 \n",
" 1575.02,337.573 1578.01,335.362 1581.01,333.16 1584.03,330.967 1587.07,328.784 1590.12,326.611 1593.19,324.449 1596.28,322.299 1599.38,320.161 1602.49,318.036 \n",
" 1605.63,315.925 1608.78,313.829 1611.94,311.749 1615.12,309.684 1618.32,307.637 1621.53,305.607 1624.75,303.596 1627.99,301.605 1631.25,299.633 1634.52,297.683 \n",
" 1637.8,295.754 1641.1,293.848 1644.41,291.965 1647.74,290.106 1651.08,288.273 1654.44,286.466 1657.8,284.685 1661.18,282.933 1664.58,281.209 1667.98,279.514 \n",
" 1671.4,277.85 1674.84,276.217 1678.28,274.617 1681.73,273.05 1685.2,271.516 1688.68,270.018 1692.17,268.555 1695.67,267.126 1699.18,265.733 1702.71,264.377 \n",
" 1706.24,263.057 1709.78,261.776 1713.33,260.533 1716.89,259.329 1720.46,258.165 1724.03,257.041 1727.62,255.958 1731.21,254.917 1734.81,253.917 1738.41,252.96 \n",
" 1742.02,252.046 1745.64,251.175 1749.27,250.348 1752.9,249.566 1756.53,248.828 1760.17,248.135 1763.82,247.487 1767.47,246.885 1771.12,246.329 1774.78,245.82 \n",
" 1778.44,245.357 1782.1,244.94 1785.77,244.571 1789.43,244.248 1793.1,243.974 1796.77,243.746 1800.45,243.566 1804.12,243.434 1807.8,243.35 1811.47,243.313 \n",
" 1815.15,243.325 1818.82,243.384 1822.5,243.491 1826.17,243.646 1829.84,243.849 1833.51,244.1 1837.18,244.398 1840.85,244.744 1844.51,245.138 1848.17,245.578 \n",
" 1851.83,246.066 1855.49,246.6 1859.14,247.181 1862.78,247.809 1866.43,248.482 1870.07,249.201 1873.7,249.966 1877.33,250.776 1880.95,251.631 1884.57,252.53 \n",
" 1888.18,253.473 1891.78,254.46 1895.38,255.49 1898.97,256.563 1902.55,257.677 1906.12,258.834 1909.69,260.031 1913.25,261.269 1916.8,262.548 1920.34,263.865 \n",
" 1923.87,265.221 1927.39,266.616 1930.9,268.047 1934.41,269.516 1937.9,271.02 1941.38,272.56 1944.85,274.134 1948.3,275.743 1951.75,277.384 1955.19,279.057 \n",
" 1958.61,280.761 1962.02,282.496 1965.41,284.261 1968.8,286.054 1972.17,287.874 1975.52,289.722 1978.87,291.595 1982.19,293.493 1985.51,295.415 1988.81,297.359 \n",
" 1992.09,299.325 1995.36,301.312 1998.61,303.318 2001.84,305.342 2005.06,307.383 2008.27,309.44 2011.45,311.512 2014.62,313.598 2017.77,315.696 2020.91,317.807 \n",
" 2024.02,319.933 2027.13,322.072 2030.21,324.224 2033.28,326.388 2036.33,328.563 2039.37,330.749 2042.39,332.945 2045.39,335.149 2048.38,337.362 2051.35,339.582 \n",
" 2054.31,341.81 2057.24,344.043 2060.16,346.282 2063.07,348.526 2065.96,350.774 2068.83,353.026 2071.68,355.281 2074.52,357.537 2077.34,359.796 2080.14,362.056 \n",
" 2082.93,364.316 2085.7,366.576 2088.45,368.835 2091.18,371.094 2093.9,373.35 2096.61,375.604 2099.29,377.855 2101.96,380.103 2104.61,382.347 2107.25,384.586 \n",
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" 1458.01,405.566 1460.49,403.556 1462.98,401.532 1465.49,399.493 1468.01,397.44 1470.54,395.374 1473.1,393.294 1475.66,391.201 1478.25,389.096 1480.85,386.978 \n",
" 1483.46,384.849 1486.1,382.709 1488.74,380.557 1491.41,378.396 1494.09,376.224 1496.78,374.043 1499.5,371.853 1502.23,369.654 1504.97,367.447 1507.74,365.233 \n",
" 1510.52,363.012 1513.31,360.784 1516.13,358.551 1518.96,356.312 1521.8,354.069 1524.67,351.821 1527.55,349.57 1530.45,347.316 1533.36,345.059 1536.29,342.801 \n",
" 1539.24,340.542 1542.21,338.282 1545.19,336.022 1548.19,333.764 1551.2,331.506 1554.24,329.252 1557.29,326.999 1560.35,324.751 1563.44,322.507 1566.54,320.268 \n",
" 1569.65,318.035 1572.79,315.809 1575.94,313.59 1579.11,311.379 1582.29,309.177 1585.49,306.984 1588.7,304.803 1591.94,302.632 1595.18,300.474 1598.45,298.329 \n",
" 1601.73,296.197 1605.03,294.081 1608.34,291.98 1611.67,289.896 1615.01,287.829 1618.37,285.78 1621.74,283.75 1625.13,281.741 1628.53,279.753 1631.95,277.787 \n",
" 1635.39,275.844 1638.83,273.924 1642.3,272.03 1645.77,270.158 1649.26,268.309 1652.77,266.486 1656.29,264.689 1659.82,262.919 1663.36,261.178 1666.92,259.465 \n",
" 1670.49,257.784 1674.08,256.134 1677.67,254.516 1681.28,252.932 1684.9,251.383 1688.53,249.868 1692.17,248.39 1695.82,246.949 1699.48,245.546 1703.15,244.182 \n",
" 1706.83,242.857 1710.52,241.573 1714.22,240.329 1717.93,239.127 1721.64,237.968 1725.37,236.852 1729.1,235.779 1732.84,234.75 1736.59,233.766 1740.34,232.828 \n",
" 1744.1,231.935 1747.87,231.089 1751.64,230.289 1755.42,229.537 1759.21,228.832 1763,228.175 1766.79,227.567 1770.59,227.007 1774.39,226.496 1778.2,226.035 \n",
" 1782,225.623 1785.82,225.26 1789.63,224.947 1793.45,224.685 1797.27,224.472 1801.09,224.31 1804.91,224.198 1808.73,224.136 1812.56,224.125 1816.38,224.164 \n",
" 1820.21,224.254 1824.03,224.393 1827.85,224.584 1831.68,224.824 1835.5,225.114 1839.32,225.454 1843.13,225.843 1846.95,226.282 1850.76,226.77 1854.57,227.307 \n",
" 1858.37,227.893 1862.17,228.526 1865.97,229.208 1869.76,229.937 1873.55,230.713 1877.33,231.536 1881.1,232.405 1884.87,233.32 1888.63,234.28 1892.39,235.284 \n",
" 1896.14,236.333 1899.88,237.425 1903.61,238.56 1907.33,239.737 1911.05,240.956 1914.75,242.215 1918.45,243.515 1922.13,244.854 1925.81,246.231 1929.47,247.646 \n",
" 1933.13,249.098 1936.77,250.586 1940.4,252.109 1944.01,253.667 1947.62,255.257 1951.21,256.88 1954.79,258.534 1958.35,260.219 1961.9,261.936 1965.44,263.684 \n",
" 1968.96,265.461 1972.47,267.267 1975.97,269.101 1979.45,270.961 1982.92,272.848 1986.38,274.758 1989.82,276.693 1993.24,278.651 1996.65,280.63 2000.05,282.631 \n",
" 2003.43,284.652 2006.79,286.692 2010.15,288.75 2013.48,290.826 2016.8,292.919 2020.1,295.027 2023.39,297.151 2026.66,299.288 2029.92,301.439 2033.16,303.602 \n",
" 2036.38,305.777 2039.59,307.963 2042.78,310.159 2045.96,312.364 2049.12,314.577 2052.26,316.799 2055.39,319.027 2058.5,321.262 2061.59,323.502 2064.66,325.747 \n",
" 2067.72,327.996 2070.77,330.248 2073.79,332.503 2076.8,334.76 2079.79,337.019 2082.77,339.278 2085.73,341.537 2088.67,343.796 2091.59,346.053 2094.5,348.308 \n",
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" 1298.42,456.194 1300.5,455.806 1302.6,455.391 1304.69,454.949 1306.79,454.481 1308.89,453.986 1311,453.465 1313.11,452.917 1315.23,452.343 1317.35,451.743 \n",
" 1319.47,451.116 1321.6,450.463 1323.74,449.784 1325.88,449.079 1328.03,448.349 1330.18,447.592 1332.34,446.809 1334.5,446 1336.68,445.166 1338.85,444.306 \n",
" 1341.04,443.421 1343.23,442.509 1345.43,441.573 1347.64,440.611 1349.85,439.623 1352.08,438.611 1354.31,437.573 1356.54,436.51 1358.79,435.422 1361.05,434.309 \n",
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" 1462.74,368.433 1465.49,366.395 1468.26,364.342 1471.05,362.273 1473.85,360.19 1476.67,358.093 1479.5,355.982 1482.35,353.859 1485.21,351.722 1488.09,349.574 \n",
" 1490.99,347.414 1493.9,345.244 1496.83,343.063 1499.78,340.872 1502.74,338.671 1505.72,336.463 1508.71,334.246 1511.73,332.022 1514.75,329.791 1517.8,327.554 \n",
" 1520.86,325.312 1523.94,323.065 1527.04,320.814 1530.15,318.559 1533.28,316.302 1536.43,314.043 1539.59,311.783 1542.77,309.522 1545.97,307.262 1549.18,305.003 \n",
" 1552.42,302.746 1555.66,300.491 1558.93,298.24 1562.21,295.994 1565.51,293.752 1568.82,291.517 1572.15,289.289 1575.5,287.068 1578.87,284.856 1582.25,282.654 \n",
" 1585.65,280.462 1589.06,278.282 1592.49,276.114 1595.94,273.96 1599.4,271.819 1602.88,269.694 1606.38,267.585 1609.89,265.49 1613.41,263.409 1616.96,261.344 \n",
" 1620.51,259.297 1624.09,257.269 1627.68,255.262 1631.28,253.276 1634.9,251.313 1638.53,249.374 1642.18,247.46 1645.84,245.573 1649.52,243.714 1653.21,241.883 \n",
" 1656.91,240.083 1660.63,238.313 1664.35,236.576 1668.1,234.871 1671.85,233.201 1675.61,231.566 1679.39,229.967 1683.18,228.404 1686.98,226.88 1690.79,225.394 \n",
" 1694.61,223.948 1698.44,222.543 1702.28,221.178 1706.13,219.855 1710,218.575 1713.87,217.338 1717.74,216.145 1721.63,214.997 1725.53,213.894 1729.43,212.837 \n",
" 1733.34,211.826 1737.26,210.862 1741.19,209.946 1745.12,209.077 1749.06,208.257 1753,207.486 1756.95,206.764 1760.91,206.091 1764.87,205.469 1768.84,204.896 \n",
" 1772.81,204.374 1776.78,203.903 1780.76,203.483 1784.74,203.114 1788.73,202.797 1792.71,202.531 1796.7,202.317 1800.69,202.154 1804.68,202.044 1808.68,201.985 \n",
" 1812.67,201.979 1816.67,202.024 1820.66,202.121 1824.65,202.27 1828.65,202.47 1832.64,202.722 1836.63,203.026 1840.62,203.381 1844.6,203.787 1848.59,204.244 \n",
" 1852.57,204.751 1856.54,205.309 1860.51,205.916 1864.48,206.573 1868.44,207.28 1872.4,208.036 1876.35,208.839 1880.3,209.691 1884.24,210.591 1888.17,211.538 \n",
" 1892.09,212.531 1896.01,213.57 1899.92,214.654 1903.82,215.783 1907.71,216.957 1911.59,218.173 1915.46,219.433 1919.31,220.734 1923.16,222.078 1927,223.464 \n",
" 1930.83,224.891 1934.64,226.357 1938.45,227.863 1942.24,229.405 1946.02,230.985 1949.79,232.599 1953.54,234.249 1957.29,235.931 1961.02,237.646 1964.74,239.393 \n",
" 1968.44,241.169 1972.13,242.975 1975.81,244.81 1979.47,246.671 1983.12,248.559 1986.76,250.473 1990.38,252.411 1993.99,254.372 1997.58,256.356 2001.16,258.361 \n",
" 2004.72,260.387 2008.27,262.433 2011.8,264.497 2015.32,266.58 2018.82,268.679 2022.3,270.794 2025.77,272.925 2029.23,275.07 2032.67,277.228 2036.09,279.398 \n",
" 2039.5,281.581 2042.89,283.774 2046.26,285.977 2049.62,288.189 2052.96,290.41 2056.28,292.638 2059.59,294.873 2062.88,297.113 2066.15,299.359 2069.41,301.608 \n",
" 2072.65,303.862 2075.88,306.118 2079.09,308.376 2082.28,310.635 2085.45,312.894 2088.61,315.153 2091.75,317.411 2094.87,319.667 2097.97,321.921 2101.06,324.171 \n",
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" 2188.77,388.808 2191.36,390.636 2193.94,392.443 2196.5,394.231 2199.04,395.998 2201.58,397.745 2204.1,399.47 2206.61,401.174 2209.1,402.857 2211.59,404.518 \n",
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" 1133.39,367.598 1136.14,369.202 1138.87,370.781 1141.6,372.334 1144.31,373.861 1147.01,375.362 1149.7,376.836 1152.38,378.284 1155.05,379.704 1157.71,381.098 \n",
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" 1384.68,380.095 1387.35,378.695 1390.03,377.269 1392.72,375.817 1395.43,374.339 1398.14,372.835 1400.87,371.306 1403.61,369.751 1406.36,368.171 1409.12,366.566 \n",
" 1411.89,364.936 1414.68,363.282 1417.48,361.604 1420.29,359.902 1423.11,358.176 1425.95,356.427 1428.8,354.655 1431.66,352.86 1434.54,351.042 1437.43,349.202 \n",
" 1440.33,347.341 1443.25,345.457 1446.18,343.552 1449.12,341.626 1452.08,339.68 1455.05,337.712 1458.04,335.725 1461.04,333.717 1464.05,331.691 1467.09,329.645 \n",
" 1470.13,327.582 1473.19,325.503 1476.27,323.408 1479.36,321.298 1482.47,319.174 1485.59,317.036 1488.73,314.886 1491.89,312.722 1495.06,310.548 1498.25,308.362 \n",
" 1501.45,306.166 1504.68,303.96 1507.91,301.746 1511.17,299.523 1514.44,297.294 1517.73,295.057 1521.04,292.815 1524.36,290.568 1527.7,288.317 1531.05,286.063 \n",
" 1534.43,283.806 1537.82,281.547 1541.22,279.287 1544.65,277.028 1548.09,274.77 1551.54,272.513 1555.02,270.259 1558.51,268.009 1562.02,265.763 1565.54,263.523 \n",
" 1569.08,261.289 1572.64,259.062 1576.22,256.844 1579.81,254.636 1583.42,252.437 1587.04,250.25 1590.68,248.076 1594.34,245.915 1598.01,243.768 1601.7,241.637 \n",
" 1605.41,239.522 1609.13,237.425 1612.86,235.347 1616.61,233.289 1620.38,231.252 1624.16,229.236 1627.96,227.244 1631.77,225.277 1635.6,223.334 1639.44,221.416 \n",
" 1643.3,219.522 1647.17,217.655 1651.05,215.815 1654.95,214.004 1658.86,212.223 1662.79,210.474 1666.73,208.757 1670.68,207.075 1674.64,205.428 1678.62,203.817 \n",
" 1682.6,202.243 1686.6,200.708 1690.61,199.213 1694.63,197.758 1698.66,196.345 1702.7,194.974 1706.75,193.647 1710.81,192.363 1714.87,191.125 1718.95,189.933 \n",
" 1723.03,188.788 1727.13,187.69 1731.23,186.641 1735.33,185.64 1739.45,184.688 1743.57,183.787 1747.7,182.936 1751.83,182.136 1755.97,181.389 1760.11,180.693 \n",
" 1764.26,180.049 1768.42,179.459 1772.58,178.922 1776.74,178.439 1780.9,178.009 1785.07,177.634 1789.24,177.313 1793.42,177.047 1797.59,176.835 1801.77,176.679 \n",
" 1805.95,176.577 1810.13,176.53 1814.31,176.539 1818.49,176.602 1822.67,176.721 1826.85,176.894 1831.02,177.122 1835.2,177.405 1839.38,177.742 1843.55,178.134 \n",
" 1847.72,178.579 1851.89,179.078 1856.05,179.631 1860.21,180.236 1864.37,180.894 1868.52,181.605 1872.67,182.367 1876.81,183.18 1880.95,184.045 1885.08,184.959 \n",
" 1889.2,185.923 1893.32,186.935 1897.43,187.997 1901.53,189.105 1905.62,190.261 1909.71,191.462 1913.79,192.709 1917.85,194.001 1921.91,195.336 1925.96,196.713 \n",
" 1929.99,198.133 1934.02,199.593 1938.03,201.093 1942.03,202.631 1946.02,204.208 1950,205.821 1953.96,207.469 1957.91,209.151 1961.85,210.867 1965.77,212.614 \n",
" 1969.68,214.394 1973.57,216.205 1977.45,218.047 1981.32,219.919 1985.17,221.819 1989.01,223.746 1992.83,225.699 1996.64,227.677 2000.43,229.678 2004.21,231.702 \n",
" 2007.97,233.748 2011.72,235.814 2015.45,237.899 2019.16,240.002 2022.86,242.122 2026.55,244.259 2030.22,246.41 2033.87,248.575 2037.51,250.754 2041.13,252.944 \n",
" 2044.73,255.145 2048.32,257.356 2051.89,259.576 2055.44,261.804 2058.98,264.039 2062.5,266.28 2066,268.527 2069.49,270.777 2072.96,273.031 2076.42,275.287 \n",
" 2079.85,277.545 2083.27,279.804 2086.68,282.062 2090.06,284.319 2093.43,286.575 2096.79,288.827 2100.12,291.076 2103.44,293.321 2106.74,295.561 2110.03,297.795 \n",
" 2113.3,300.022 2116.55,302.241 2119.79,304.453 2123.01,306.655 2126.21,308.848 2129.4,311.03 2132.57,313.202 2135.72,315.361 2138.86,317.508 2141.98,319.642 \n",
" 2145.08,321.762 2148.17,323.868 2151.25,325.959 2154.3,328.034 2157.35,330.092 2160.37,332.134 2163.39,334.158 2166.38,336.165 2169.36,338.152 2172.33,340.121 \n",
" 2175.28,342.069 2178.22,343.997 2181.14,345.904 2184.05,347.79 2186.95,349.654 2189.83,351.495 2192.69,353.314 2195.55,355.11 2198.39,356.883 2201.21,358.633 \n",
" 2204.03,360.359 2206.83,362.061 2209.62,363.739 2212.39,365.392 2215.16,367.02 2217.91,368.624 2220.65,370.201 2223.38,371.754 2226.09,373.28 2228.8,374.78 \n",
" 2231.49,376.254 2234.18,377.702 2236.85,379.122 2239.51,380.516 2242.16,381.882 2244.8,383.221 2247.44,384.532 2250.06,385.815 2252.67,387.07 2255.27,388.297 \n",
" 2257.87,389.495 2260.46,390.665 2263.03,391.806 2265.6,392.917 2268.16,394 2270.71,395.053 2273.26,396.077 2275.8,397.071 2278.33,398.035 2280.85,398.97 \n",
" 2283.36,399.874 2285.87,400.748 2288.38,401.592 2290.87,402.405 2293.36,403.188 2295.85,403.94 2298.33,404.661 2300.8,405.351 2303.27,406.01 2305.73,406.638 \n",
" 2308.19,407.235 2310.65,407.801 2313.1,408.335 2315.54,408.838 2317.99,409.31 2320.43,409.75 2322.86,410.158 2325.3,410.535 2327.73,410.88 2330.15,411.193 \n",
" 2332.58,411.475 2335,411.724 2337.43,411.942 2339.85,412.129 2342.26,412.283 2344.68,412.405 2347.1,412.496 2349.52,412.555 2351.93,412.582 2354.35,412.577 \n",
" 2356.77,412.54 2359.18,412.472 2361.6,412.372 2364.02,412.24 2366.44,412.076 2368.86,411.882 2371.28,411.656 2373.7,411.398 2376.12,411.109 2378.54,410.789 \n",
" 2380.97,410.437 2383.4,410.053 2385.83,409.638 2388.26,409.191 2390.69,408.712 2393.13,408.202 2395.57,407.66 2398.02,407.086 2400.47,406.48 2402.92,405.843 \n",
" 2405.38,405.175 2407.85,404.474 2410.32,403.743 2412.79,402.979 2415.27,402.185 2417.76,401.359 2420.26,400.502 2422.76,399.614 2425.27,398.695 2427.78,397.746 \n",
" 2430.31,396.765 2432.84,395.754 2435.38,394.713 2437.93,393.641 2440.48,392.539 2443.05,391.408 2445.62,390.246 2448.21,389.055 2450.8,387.835 2453.4,386.586 \n",
" 2456.02,385.307 2458.64,384 2461.28,382.665 2463.92,381.301 2466.58,379.91 2469.24,378.491 2471.92,377.044 2474.61,375.571 2477.31,374.07 2480.02,372.543 \n",
" 2482.75,370.99 2485.49,369.411 2488.24,367.807 2491,366.177 2493.77,364.523 2496.56,362.844 2499.36,361.141 2502.18,359.414 2505,357.664 2507.84,355.891 \n",
" 2510.7,354.096 2513.57,352.278 2516.45,350.438 2519.35,348.578 2522.26,346.696 2525.18,344.794 2528.12,342.872 2531.08,340.931 2534.04,338.971 2537.03,336.992 \n",
" 2540.03,334.995 2543.04,332.981 2546.07,330.95 2549.11,328.902 2552.17,326.838 2555.25,324.759 2558.34,322.665 2561.44,320.557 2564.56,318.435 2567.7,316.3 \n",
" 2570.85,314.153 2574.02,311.993 2577.2,309.822 2580.41,307.641 2583.62,305.449 2586.85,303.248 2590.1,301.038 2593.37,298.82 2596.65,296.594 2599.94,294.361 \n",
" 2603.26,292.122 2606.59,289.878 2609.93,287.629 2613.3,285.376 2616.67,283.119 2620.07,280.86 2623.48,278.599 2626.91,276.335 2630.36,274.072 2633.82,271.809 \n",
" 2637.3,269.548 2640.8,267.291 2644.31,265.037 2647.84,262.79 2651.39,260.549 2654.95,258.316 2658.53,256.091 2662.13,253.877 2665.74,251.674 2669.37,249.484 \n",
" 2673.02,247.307 2676.68,245.144 2680.36,242.997 2684.06,240.867 2687.77,238.754 2691.49,236.66 2695.23,234.586 2698.99,232.533 2702.76,230.501 2706.55,228.493 \n",
" 2710.35,226.508 2714.17,224.548 2718,222.615 2721.85,220.708 2725.71,218.828 2729.58,216.978 2733.47,215.157 2737.37,213.367 2741.29,211.609 2745.21,209.883 \n",
" 2749.15,208.19 2753.11,206.532 2757.07,204.909 2761.05,203.322 2765.04,201.773 2769.04,200.261 2773.05,198.787 2777.08,197.353 2781.11,195.96 2785.15,194.608 \n",
" 2789.21,193.298 2793.27,192.031 2797.35,190.807 2801.43,189.628 2805.52,188.494 2809.62,187.406 2813.73,186.365 2817.84,185.371 2821.96,184.426 2826.09,183.53 \n",
" 2830.23,182.683 2834.37,181.887 2838.52,181.142 2842.67,180.449 2846.83,179.808 2850.99,179.22 2855.16,178.687 2859.33,178.208 2863.5,177.784 2867.68,177.419 \n",
" 2871.86,177.117 2876.04,176.878 2880.22,176.702 2884.4,176.586 2888.59,176.532 2892.77,176.537 2896.95,176.602 2901.13,176.726 2905.31,176.907 2909.49,177.146 \n",
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" 2955.2,183.365 2959.33,184.238 2963.44,185.159 2967.55,186.127 2971.66,187.142 2975.75,188.203 2979.84,189.31 2983.92,190.46 2987.99,191.654 2992.05,192.892 \n",
" 2996.1,194.171 3000.14,195.491 3004.17,196.852 3008.19,198.253 3012.2,199.693 3016.2,201.171 3020.19,202.686 3024.17,204.238 3028.13,205.826 3032.08,207.449 \n",
" 3036.03,209.106 3039.96,210.797 3043.87,212.52 3047.78,214.275 3051.67,216.06 3055.54,217.876 3059.41,219.721 3063.26,221.595 3067.09,223.496 3070.92,225.423 \n",
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" 3213.95,316.528 3217.08,318.764 3220.2,320.986 3223.31,323.194 3226.39,325.387 3229.46,327.563 3232.51,329.721 3235.55,331.861 3238.57,333.982 3241.57,336.082 \n",
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" 3327.66,389.12 3330.25,390.425 3332.83,391.701 3335.4,392.95 3337.95,394.171 3340.51,395.364 3343.05,396.528 3345.58,397.664 3348.1,398.771 3350.62,399.849 \n",
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" 1766.95,152.299 1771.31,151.813 1775.68,151.388 1780.05,151.023 1784.42,150.717 1788.79,150.47 1793.17,150.281 1797.54,150.151 1801.92,150.079 1806.29,150.065 \n",
" 1810.66,150.108 1815.04,150.207 1819.41,150.363 1823.78,150.574 1828.15,150.841 1832.51,151.163 1836.87,151.539 1841.23,151.97 1845.58,152.454 1849.93,152.99 \n",
" 1854.28,153.58 1858.62,154.221 1862.96,154.913 1867.28,155.656 1871.61,156.45 1875.93,157.293 1880.24,158.186 1884.54,159.127 1888.84,160.115 1893.12,161.151 \n",
" 1897.4,162.234 1901.68,163.363 1905.94,164.537 1910.19,165.755 1914.44,167.018 1918.68,168.324 1922.9,169.673 1927.12,171.063 1931.32,172.495 1935.52,173.967 \n",
" 1939.7,175.479 1943.88,177.03 1948.04,178.619 1952.19,180.245 1956.33,181.908 1960.46,183.607 1964.57,185.341 1968.67,187.11 1972.76,188.911 1976.84,190.745 \n",
" 1980.9,192.611 1984.95,194.508 1988.98,196.434 1993,198.39 1997.01,200.374 2001.01,202.385 2004.99,204.422 2008.95,206.485 2012.9,208.572 2016.84,210.683 \n",
" 2020.76,212.816 2024.66,214.971 2028.55,217.147 2032.43,219.342 2036.28,221.555 2040.13,223.786 2043.95,226.034 2047.77,228.297 2051.56,230.574 2055.34,232.865 \n",
" 2059.1,235.168 2062.85,237.483 2066.58,239.807 2070.29,242.141 2073.99,244.482 2077.67,246.83 2081.33,249.183 2084.98,251.542 2088.61,253.903 2092.22,256.266 \n",
" 2095.82,258.63 2099.4,260.994 2102.96,263.357 2106.5,265.717 2110.03,268.073 2113.54,270.423 2117.03,272.767 2120.5,275.104 2123.96,277.431 2127.4,279.748 \n",
" 2130.83,282.054 2134.23,284.347 2137.62,286.625 2140.99,288.888 2144.35,291.134 2147.69,293.362 2151.01,295.57 2154.31,297.757 2157.6,299.922 2160.86,302.063 \n",
" 2164.12,304.179 2167.35,306.269 2170.57,308.33 2173.77,310.362 2176.96,312.362 2180.13,314.331 2183.28,316.266 2186.41,318.165 2189.53,320.027 2192.64,321.853 \n",
" 2195.73,323.652 2198.8,325.425 2201.86,327.173 2204.91,328.895 2207.95,330.59 2210.97,332.259 2213.99,333.901 2216.99,335.515 2219.97,337.101 2222.95,338.66 \n",
" 2225.91,340.19 2228.87,341.691 2231.81,343.164 2234.74,344.607 2237.66,346.021 2240.57,347.405 2243.47,348.758 2246.36,350.082 2249.24,351.374 2252.11,352.636 \n",
" 2254.97,353.867 2257.82,355.066 2260.67,356.234 2263.5,357.369 2266.33,358.473 2269.15,359.545 2271.96,360.584 2274.76,361.59 2277.55,362.564 2280.34,363.504 \n",
" 2283.12,364.411 2285.9,365.285 2288.67,366.126 2291.43,366.932 2294.18,367.705 2296.94,368.444 2299.68,369.148 2302.42,369.819 2305.15,370.454 2307.88,371.056 \n",
" 2310.61,371.623 2313.33,372.155 2316.05,372.652 2318.76,373.114 2321.47,373.542 2324.18,373.934 2326.89,374.291 2329.59,374.614 2332.29,374.9 2334.99,375.152 \n",
" 2337.68,375.368 2340.38,375.549 2343.07,375.694 2345.76,375.804 2348.45,375.879 2351.14,375.918 2353.84,375.922 2356.53,375.891 2359.22,375.824 2361.91,375.721 \n",
" 2364.6,375.584 2367.3,375.411 2369.99,375.204 2372.69,374.967 2375.38,374.699 2378.07,374.398 2380.77,374.066 2383.46,373.701 2386.16,373.304 2388.86,372.874 \n",
" 2391.56,372.41 2394.26,371.913 2396.97,371.383 2399.68,370.819 2402.39,370.221 2405.11,369.588 2407.83,368.922 2410.56,368.221 2413.29,367.485 2416.03,366.715 \n",
" 2418.78,365.91 2421.53,365.071 2424.28,364.196 2427.05,363.287 2429.82,362.344 2432.6,361.365 2435.39,360.352 2438.19,359.304 2440.99,358.222 2443.81,357.105 \n",
" 2446.63,355.954 2449.46,354.769 2452.31,353.549 2455.16,352.296 2458.02,351.009 2460.9,349.689 2463.78,348.335 2466.68,346.948 2469.59,345.529 2472.51,344.077 \n",
" 2475.44,342.593 2478.38,341.077 2481.34,339.529 2484.31,337.951 2487.29,336.341 2490.29,334.701 2493.29,333.032 2496.32,331.332 2499.35,329.603 2502.4,327.846 \n",
" 2505.46,326.061 2508.54,324.248 2511.63,322.407 2514.74,320.54 2517.86,318.647 2521,316.729 2524.15,314.785 2527.32,312.817 2530.5,310.826 2533.7,308.811 \n",
" 2536.91,306.775 2540.14,304.716 2543.39,302.636 2546.65,300.537 2549.92,298.417 2553.22,296.279 2556.53,294.123 2559.85,291.949 2563.2,289.76 2566.55,287.554 \n",
" 2569.93,285.334 2573.32,283.1 2576.73,280.853 2580.16,278.594 2583.6,276.324 2587.06,274.044 2590.53,271.754 2594.02,269.456 2597.53,267.151 2601.06,264.839 \n",
" 2604.6,262.523 2608.16,260.202 2611.74,257.877 2615.34,255.551 2618.95,253.224 2622.58,250.897 2626.22,248.571 2629.88,246.248 2633.56,243.929 2637.26,241.614 \n",
" 2640.97,239.305 2644.7,237.004 2648.44,234.711 2652.21,232.428 2655.98,230.156 2659.78,227.896 2663.59,225.651 2667.42,223.42 2671.26,221.205 2675.12,219.009 \n",
" 2679,216.831 2682.89,214.674 2686.8,212.54 2690.72,210.428 2694.66,208.342 2698.61,206.282 2702.58,204.243 2706.57,202.226 2710.57,200.23 2714.59,198.259 \n",
" 2718.62,196.313 2722.66,194.395 2726.72,192.504 2730.79,190.644 2734.88,188.814 2738.98,187.017 2743.09,185.254 2747.22,183.526 2751.36,181.835 2755.51,180.181 \n",
" 2759.67,178.565 2763.85,176.99 2768.03,175.455 2772.23,173.962 2776.44,172.512 2780.66,171.107 2784.88,169.746 2789.12,168.43 2793.37,167.162 2797.63,165.941 \n",
" 2801.89,164.768 2806.17,163.645 2810.45,162.571 2814.74,161.547 2819.04,160.575 2823.34,159.655 2827.65,158.787 2831.97,157.972 2836.3,157.21 2840.63,156.502 \n",
" 2844.96,155.849 2849.3,155.25 2853.64,154.706 2857.99,154.218 2862.34,153.786 2866.7,153.41 2871.06,153.09 2875.42,152.826 2879.78,152.619 2884.14,152.469 \n",
" 2888.51,152.375 2892.87,152.339 2897.24,152.359 2901.61,152.436 2905.97,152.57 2910.34,152.761 2914.7,153.008 2919.06,153.312 2923.42,153.672 2927.78,154.088 \n",
" 2932.14,154.559 2936.49,155.086 2940.83,155.668 2945.17,156.305 2949.51,156.996 2953.84,157.74 2958.17,158.538 2962.48,159.389 2966.8,160.292 2971.1,161.247 \n",
" 2975.4,162.253 2979.68,163.309 2983.96,164.418 2988.23,165.579 2992.49,166.792 2996.74,168.056 3000.98,169.367 3005.21,170.727 3009.43,172.132 3013.64,173.582 \n",
" 3017.83,175.075 3022.02,176.61 3026.19,178.186 3030.35,179.801 3034.5,181.455 3038.63,183.145 3042.75,184.871 3046.86,186.631 3050.96,188.425 3055.04,190.25 \n",
" 3059.11,192.106 3063.17,193.991 3067.21,195.905 3071.23,197.846 3075.25,199.812 3079.25,201.804 3083.23,203.818 3087.2,205.855 3091.15,207.914 3095.09,209.992 \n",
" 3099.01,212.09 3102.92,214.205 3106.81,216.337 3110.69,218.485 3114.55,220.647 3118.39,222.823 3122.22,225.012 3126.04,227.211 3129.83,229.421 3133.61,231.641 \n",
" 3137.38,233.869 3141.13,236.104 3144.86,238.345 3148.57,240.592 3152.27,242.842 3155.95,245.097 3159.62,247.353 3163.27,249.612 3166.9,251.87 3170.51,254.128 \n",
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" 3417.8,372.367 3420.52,372.574 3423.24,372.747 3425.95,372.885 3428.67,372.987 3431.38,373.054 3434.09,373.085 3436.81,373.081 3439.52,373.042 3442.24,372.968 \n",
" 3444.95,372.858 3447.67,372.713 3450.38,372.532 3453.1,372.316 3455.82,372.065 3458.55,371.778 3461.27,371.456 3464,371.098 3466.73,370.706 3469.46,370.278 \n",
" 3472.2,369.815 3474.94,369.317 3477.68,368.783 3480.43,368.215 3483.18,367.612 3485.93,366.974 3488.7,366.301 3491.46,365.593 3494.23,364.85 3497.01,364.073 \n",
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" 1654.36,152.753 1658.73,150.984 1663.11,149.253 1667.5,147.559 1671.91,145.905 1676.33,144.292 1680.76,142.721 1685.2,141.192 1689.65,139.707 1694.12,138.267 \n",
" 1698.59,136.872 1703.08,135.524 1707.57,134.224 1712.08,132.972 1716.59,131.769 1721.12,130.616 1725.65,129.515 1730.19,128.464 1734.73,127.467 1739.29,126.522 \n",
" 1743.85,125.632 1748.42,124.795 1753,124.014 1757.58,123.289 1762.16,122.62 1766.75,122.008 1771.35,121.453 1775.95,120.956 1780.55,120.517 1785.16,120.137 \n",
" 1789.77,119.816 1794.38,119.555 1798.99,119.354 1803.61,119.213 1808.23,119.132 1812.84,119.113 1817.46,119.154 1822.07,119.257 1826.68,119.421 1831.3,119.647 \n",
" 1835.91,119.937 1840.51,120.293 1845.11,120.713 1849.71,121.198 1854.31,121.745 1858.9,122.354 1863.48,123.024 1868.06,123.752 1872.63,124.539 1877.2,125.383 \n",
" 1881.75,126.283 1886.31,127.238 1890.85,128.247 1895.39,129.309 1899.91,130.422 1904.43,131.586 1908.94,132.799 1913.44,134.06 1917.94,135.368 1922.42,136.723 \n",
" 1926.89,138.122 1931.35,139.565 1935.8,141.051 1940.24,142.578 1944.66,144.145 1949.08,145.752 1953.48,147.397 1957.87,149.079 1962.25,150.797 1966.62,152.55 \n",
" 1970.97,154.336 1975.31,156.155 1979.64,158.006 1983.95,159.886 1988.25,161.796 1992.53,163.733 1996.8,165.698 2001.06,167.688 2005.3,169.703 2009.53,171.741 \n",
" 2013.74,173.801 2017.94,175.883 2022.12,177.985 2026.28,180.105 2030.44,182.243 2034.57,184.398 2038.69,186.569 2042.79,188.753 2046.88,190.951 2050.95,193.161 \n",
" 2055,195.381 2059.04,197.611 2063.07,199.85 2067.07,202.096 2071.06,204.349 2075.03,206.606 2078.99,208.868 2082.93,211.132 2086.85,213.398 2090.76,215.664 \n",
" 2094.64,217.93 2098.52,220.194 2102.37,222.454 2106.21,224.711 2110.03,226.962 2113.84,229.207 2117.63,231.444 2121.4,233.672 2125.15,235.89 2128.89,238.097 \n",
" 2132.61,240.292 2136.32,242.473 2140.01,244.64 2143.68,246.79 2147.33,248.924 2150.97,251.039 2154.6,253.136 2158.21,255.211 2161.8,257.265 2165.37,259.296 \n",
" 2168.93,261.302 2172.48,263.284 2176.01,265.239 2179.52,267.166 2183.02,269.065 2186.51,270.936 2189.98,272.78 2193.43,274.598 2196.88,276.387 2200.31,278.149 \n",
" 2203.72,279.882 2207.13,281.585 2210.52,283.259 2213.9,284.903 2217.26,286.516 2220.62,288.098 2223.96,289.648 2227.29,291.167 2230.61,292.653 2233.92,294.106 \n",
" 2237.22,295.526 2240.51,296.912 2243.78,298.264 2247.05,299.582 2250.31,300.865 2253.56,302.113 2256.8,303.326 2260.03,304.503 2263.25,305.643 2266.47,306.748 \n",
" 2269.67,307.815 2272.87,308.846 2276.06,309.839 2279.24,310.795 2282.42,311.713 2285.59,312.592 2288.75,313.434 2291.91,314.237 2295.06,315.002 2298.2,315.727 \n",
" 2301.34,316.413 2304.48,317.06 2307.61,317.668 2310.74,318.236 2313.86,318.764 2316.97,319.253 2320.09,319.701 2323.2,320.109 2326.31,320.477 2329.41,320.804 \n",
" 2332.52,321.091 2335.62,321.338 2338.72,321.543 2341.81,321.709 2344.91,321.833 2348.01,321.917 2351.1,321.96 2354.2,321.962 2357.29,321.924 2360.39,321.845 \n",
" 2363.48,321.725 2366.58,321.564 2369.68,321.363 2372.78,321.121 2375.88,320.839 2378.99,320.516 2382.09,320.155 2385.2,319.755 2388.31,319.317 2391.42,318.84 \n",
" 2394.54,318.325 2397.65,317.771 2400.77,317.179 2403.9,316.547 2407.03,315.877 2410.16,315.168 2413.3,314.421 2416.44,313.634 2419.59,312.809 2422.75,311.945 \n",
" 2425.91,311.043 2429.08,310.102 2432.26,309.123 2435.44,308.105 2438.63,307.05 2441.84,305.956 2445.04,304.825 2448.26,303.657 2451.49,302.451 2454.73,301.209 \n",
" 2457.98,299.93 2461.24,298.614 2464.51,297.263 2467.79,295.876 2471.08,294.454 2474.38,292.997 2477.69,291.506 2481.02,289.98 2484.36,288.421 2487.71,286.829 \n",
" 2491.07,285.205 2494.45,283.549 2497.84,281.861 2501.24,280.142 2504.66,278.392 2508.09,276.613 2511.53,274.805 2514.99,272.968 2518.47,271.104 2521.95,269.212 \n",
" 2525.46,267.294 2528.97,265.35 2532.51,263.382 2536.06,261.388 2539.62,259.372 2543.2,257.333 2546.79,255.272 2550.4,253.19 2554.03,251.088 2557.67,248.967 \n",
" 2561.33,246.827 2565,244.67 2568.69,242.497 2572.4,240.308 2576.12,238.105 2579.86,235.889 2583.62,233.659 2587.39,231.419 2591.18,229.168 2594.99,226.908 \n",
" 2598.81,224.64 2602.65,222.365 2606.51,220.084 2610.38,217.798 2614.27,215.509 2618.18,213.218 2622.11,210.926 2626.05,208.634 2630,206.343 2633.98,204.056 \n",
" 2637.97,201.772 2641.98,199.494 2646,197.223 2650.04,194.96 2654.1,192.707 2658.18,190.465 2662.27,188.235 2666.37,186.019 2670.5,183.819 2674.63,181.635 \n",
" 2678.79,179.47 2682.96,177.325 2687.15,175.202 2691.35,173.101 2695.57,171.025 2699.8,168.97 2704.05,166.936 2708.32,164.926 2712.6,162.94 2716.89,160.982 \n",
" 2721.2,159.052 2725.53,157.152 2729.86,155.283 2734.21,153.447 2738.58,151.647 2742.96,149.882 2747.35,148.154 2751.75,146.466 2756.17,144.817 2760.6,143.21 \n",
" 2765.04,141.645 2769.49,140.124 2773.95,138.648 2778.42,137.218 2782.9,135.836 2787.4,134.501 2791.9,133.215 2796.41,131.98 2800.93,130.795 2805.46,129.662 \n",
" 2810,128.582 2814.54,127.555 2819.09,126.583 2823.65,125.665 2828.22,124.802 2832.79,123.996 2837.37,123.246 2841.95,122.554 2846.54,121.919 2851.13,121.342 \n",
" 2855.73,120.823 2860.33,120.363 2864.94,119.963 2869.55,119.622 2874.16,119.34 2878.77,119.118 2883.39,118.956 2888,118.855 2892.62,118.813 2897.24,118.831 \n",
" 2901.86,118.91 2906.47,119.049 2911.09,119.247 2915.7,119.506 2920.32,119.824 2924.93,120.201 2929.53,120.637 2934.14,121.133 2938.74,121.686 2943.33,122.298 \n",
" 2947.93,122.968 2952.51,123.694 2957.09,124.477 2961.67,125.316 2966.23,126.211 2970.79,127.16 2975.34,128.164 2979.89,129.221 2984.42,130.332 2988.95,131.5 \n",
" 2993.46,132.722 2997.97,133.996 3002.46,135.322 3006.95,136.697 3011.42,138.121 3015.88,139.592 3020.33,141.107 3024.77,142.667 3029.2,144.269 3033.61,145.912 \n",
" 3038.01,147.594 3042.4,149.314 3046.78,151.071 3051.14,152.864 3055.49,154.69 3059.82,156.548 3064.14,158.438 3068.45,160.357 3072.74,162.305 3077.02,164.28 \n",
" 3081.29,166.281 3085.54,168.306 3089.77,170.354 3093.99,172.424 3098.19,174.515 3102.38,176.625 3106.56,178.753 3110.71,180.897 3114.86,183.058 3118.98,185.232 \n",
" 3123.09,187.42 3127.19,189.62 3131.26,191.83 3135.33,194.05 3139.37,196.278 3143.4,198.513 3147.41,200.755 3151.41,203.001 3155.39,205.252 3159.35,207.504 \n",
" 3163.3,209.759 3167.23,212.014 3171.14,214.268 3175.04,216.521 3178.92,218.77 3182.78,221.016 3186.63,223.258 3190.46,225.493 3194.27,227.721 3198.07,229.942 \n",
" 3201.85,232.154 3205.61,234.355 3209.36,236.546 3213.09,238.725 3216.81,240.892 3220.51,243.044 3224.19,245.182 3227.86,247.305 3231.51,249.411 3235.14,251.499 \n",
" 3238.76,253.57 3242.37,255.621 3245.96,257.652 3249.53,259.662 3253.09,261.651 3256.63,263.617 3260.16,265.56 3263.67,267.478 3267.17,269.372 3270.66,271.239 \n",
" 3274.13,273.081 3277.59,274.895 3281.03,276.68 3284.46,278.438 3287.88,280.165 3291.28,281.862 3294.67,283.529 3298.05,285.163 3301.41,286.765 3304.77,288.334 \n",
" 3308.11,289.87 3311.44,291.371 3314.76,292.838 3318.07,294.271 3321.36,295.67 3324.65,297.033 3327.92,298.362 3331.19,299.655 3334.45,300.912 3337.69,302.134 \n",
" 3340.93,303.319 3344.16,304.468 3347.38,305.58 3350.59,306.655 3353.8,307.693 3356.99,308.693 3360.18,309.656 3363.37,310.581 3366.54,311.467 3369.71,312.316 \n",
" 3372.87,313.126 3376.03,313.898 3379.18,314.631 3382.33,315.325 3385.47,315.98 3388.61,316.595 3391.74,317.172 3394.87,317.708 3398,318.206 3401.12,318.663 \n",
" 3404.24,319.081 3407.35,319.459 3410.47,319.797 3413.58,320.095 3416.69,320.353 3419.79,320.57 3422.9,320.747 3426,320.885 3429.11,320.981 3432.21,321.038 \n",
" 3435.31,321.054 3438.42,321.029 3441.52,320.965 3444.63,320.86 3447.73,320.714 3450.84,320.529 3453.95,320.302 3457.06,320.036 3460.17,319.73 3463.28,319.383 \n",
" 3466.4,318.996 3469.52,318.569 3472.64,318.102 3475.77,317.595 3478.9,317.049 3482.04,316.462 3485.18,315.836 3488.32,315.171 3491.47,314.466 3494.63,313.722 \n",
" 3497.79,312.939 3500.96,312.118 3504.13,311.257 3507.31,310.358 3510.49,309.42 3513.69,308.444 3516.89,307.43 3520.1,306.378 3523.31,305.289 3526.54,304.162 \n",
" 3529.77,302.998 3533.01,301.797 3536.26,300.56 3539.52,299.288 3542.79,297.982 3546.07,296.642 3549.35,295.268 3552.65,293.86 3555.96,292.419 3559.28,290.945 \n",
" 3562.61,289.439 3565.95,287.9 3569.3,286.33 3572.66,284.729 3576.04,283.097 3579.43,281.435 3582.83,279.743 3586.24,278.021 3589.67,276.271 3593.11,274.493 \n",
" 3596.57,272.687 3600.04,270.854 3603.52,268.995 3607.02,267.11 3610.53,265.199 3614.05,263.265 3617.59,261.306 3621.15,259.325 3624.72,257.321 3628.31,255.296 \n",
" 3631.91,253.25 3635.53,251.183 3639.16,249.098 3642.81,246.994 3646.48,244.873 3650.16,242.735 3653.86,240.581 3657.58,238.412 3661.31,236.23 3665.06,234.034 \n",
" 3668.82,231.826 3672.6,229.607 3676.4,227.378 3680.22,225.14 3684.05,222.894 3687.9,220.641 3691.76,218.382 3695.65,216.119 3699.54,213.851 3703.46,211.581 \n",
" 3707.4,209.31 3711.35,207.038 3715.31,204.767 3719.3,202.499 3723.3,200.234 3727.32,197.973 3731.35,195.719 3735.4,193.471 3739.47,191.232 3743.56,189.003 \n",
" 3747.66,186.786 3751.78,184.58 3755.91,182.389 3760.06,180.213 3764.23,178.054 3768.41,175.913 3772.6,173.792 3776.82,171.691 3781.05,169.614 3785.29,167.561 \n",
" 3789.55,165.533 3793.82,163.533 3798.11,161.561 3802.42,159.62 3806.73,157.711 3811.07,155.836 3815.41,153.996 3819.77,152.194 3824.15,150.429 3828.53,148.703 \n",
" 3832.93,147.015 3837.34,145.364 3841.77,143.754 3846.2,142.185 3850.65,140.658 3855.11,139.175 3859.58,137.737 3864.06,136.345 3868.55,135 3873.05,133.703 \n",
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" 3923.1,122.875 3927.69,122.222 3932.28,121.628 3936.88,121.091 3941.48,120.614 3946.08,120.196 3950.69,119.837 3955.3,119.538 3959.91,119.299 3964.53,119.12 \n",
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" 1439.89,226.958 1443.71,225.068 1447.54,223.151 1451.38,221.208 1455.24,219.239 1459.11,217.246 1463,215.229 1466.9,213.189 1470.82,211.128 1474.76,209.045 \n",
" 1478.7,206.942 1482.67,204.819 1486.65,202.678 1490.65,200.52 1494.66,198.346 1498.69,196.157 1502.73,193.956 1506.8,191.742 1510.88,189.518 1514.97,187.285 \n",
" 1519.08,185.044 1523.21,182.796 1527.36,180.543 1531.52,178.287 1535.7,176.028 1539.9,173.767 1544.11,171.507 1548.34,169.249 1552.59,166.993 1556.85,164.742 \n",
" 1561.14,162.496 1565.43,160.257 1569.75,158.027 1574.08,155.806 1578.43,153.597 1582.79,151.4 1587.17,149.217 1591.57,147.049 1595.98,144.898 1600.41,142.765 \n",
" 1604.86,140.651 1609.32,138.559 1613.8,136.488 1618.29,134.441 1622.8,132.42 1627.32,130.424 1631.86,128.457 1636.41,126.519 1640.98,124.612 1645.56,122.736 \n",
" 1650.15,120.895 1654.76,119.088 1659.38,117.318 1664.01,115.586 1668.66,113.893 1673.32,112.24 1677.99,110.63 1682.68,109.064 1687.37,107.543 1692.08,106.068 \n",
" 1696.8,104.641 1701.53,103.264 1706.26,101.938 1711.01,100.664 1715.77,99.4453 1720.54,98.2839 1725.31,97.1802 1730.09,96.1346 1734.88,95.1475 1739.68,94.2195 \n",
" 1744.48,93.3508 1749.29,92.5419 1754.1,91.793 1758.92,91.1045 1763.74,90.4766 1768.57,89.9095 1773.4,89.4035 1778.23,88.9586 1783.07,88.5751 1787.91,88.2529 \n",
" 1792.75,87.9922 1797.59,87.793 1802.43,87.6552 1807.27,87.5789 1812.11,87.5639 1816.95,87.6102 1821.79,87.7176 1826.63,87.886 1831.47,88.1151 1836.3,88.4047 \n",
" 1841.14,88.7546 1845.96,89.1644 1850.79,89.6337 1855.61,90.1624 1860.43,90.7498 1865.24,91.3956 1870.05,92.0994 1874.85,92.8606 1879.65,93.6787 1884.44,94.5531 \n",
" 1889.23,95.4832 1894,96.4685 1898.77,97.5082 1903.54,98.6016 1908.29,99.748 1913.04,100.947 1917.78,102.197 1922.51,103.498 1927.23,104.848 1931.94,106.247 \n",
" 1936.64,107.695 1941.33,109.189 1946.01,110.729 1950.68,112.314 1955.34,113.944 1959.98,115.615 1964.62,117.329 1969.24,119.083 1973.85,120.877 1978.45,122.708 \n",
" 1983.04,124.577 1987.61,126.48 1992.17,128.419 1996.72,130.39 2001.25,132.392 2005.76,134.425 2010.27,136.486 2014.76,138.575 2019.23,140.689 2023.69,142.827 \n",
" 2028.13,144.988 2032.56,147.169 2036.97,149.37 2041.36,151.588 2045.74,153.822 2050.1,156.07 2054.45,158.33 2058.78,160.601 2063.09,162.881 2067.38,165.167 \n",
" 2071.66,167.458 2075.92,169.752 2080.16,172.047 2084.38,174.34 2088.58,176.631 2092.77,178.916 2096.93,181.194 2101.08,183.462 2105.21,185.719 2109.32,187.962 \n",
" 2113.41,190.19 2117.48,192.408 2121.54,194.615 2125.58,196.81 2129.61,198.991 2133.61,201.158 2137.6,203.31 2141.58,205.444 2145.54,207.561 2149.48,209.66 \n",
" 2153.41,211.739 2157.32,213.797 2161.22,215.834 2165.1,217.848 2168.97,219.839 2172.82,221.805 2176.66,223.746 2180.49,225.661 2184.3,227.55 2188.09,229.41 \n",
" 2191.87,231.242 2195.64,233.045 2199.4,234.818 2203.14,236.56 2206.87,238.27 2210.59,239.948 2214.29,241.594 2217.98,243.205 2221.66,244.783 2225.33,246.326 \n",
" 2228.99,247.833 2232.63,249.304 2236.27,250.739 2239.89,252.136 2243.51,253.496 2247.11,254.818 2250.7,256.101 2254.29,257.344 2257.86,258.549 2261.43,259.713 \n",
" 2264.99,260.837 2268.53,261.92 2272.08,262.961 2275.61,263.962 2279.13,264.92 2282.65,265.836 2286.17,266.71 2289.67,267.541 2293.17,268.329 2296.66,269.074 \n",
" 2300.15,269.775 2303.64,270.432 2307.11,271.046 2310.59,271.616 2314.06,272.142 2317.53,272.623 2320.99,273.062 2324.44,273.456 2327.89,273.808 2331.34,274.115 \n",
" 2334.78,274.378 2338.22,274.596 2341.66,274.77 2345.09,274.898 2348.53,274.982 2351.96,275.02 2355.39,275.012 2358.82,274.959 2362.25,274.861 2365.68,274.716 \n",
" 2369.12,274.526 2372.55,274.29 2375.99,274.008 2379.43,273.68 2382.87,273.306 2386.32,272.887 2389.77,272.421 2393.22,271.91 2396.68,271.354 2400.14,270.752 \n",
" 2403.61,270.105 2407.09,269.413 2410.57,268.676 2414.06,267.894 2417.55,267.068 2421.05,266.198 2424.56,265.284 2428.08,264.327 2431.6,263.326 2435.14,262.282 \n",
" 2438.68,261.196 2442.23,260.068 2445.8,258.898 2449.37,257.687 2452.95,256.435 2456.54,255.143 2460.14,253.81 2463.76,252.439 2467.38,251.029 2471.02,249.58 \n",
" 2474.67,248.094 2478.33,246.571 2482,245.011 2485.69,243.416 2489.38,241.786 2493.1,240.121 2496.82,238.422 2500.56,236.691 2504.31,234.927 2508.07,233.132 \n",
" 2511.85,231.306 2515.64,229.451 2519.45,227.566 2523.27,225.653 2527.11,223.713 2530.96,221.747 2534.82,219.756 2538.71,217.739 2542.6,215.7 2546.51,213.638 \n",
" 2550.44,211.554 2554.38,209.45 2558.34,207.326 2562.31,205.184 2566.3,203.025 2570.31,200.85 2574.33,198.659 2578.37,196.455 2582.42,194.238 2586.49,192.01 \n",
" 2590.58,189.771 2594.68,187.524 2598.8,185.268 2602.93,183.007 2607.09,180.74 2611.25,178.469 2615.44,176.196 2619.64,173.922 2623.86,171.648 2628.09,169.376 \n",
" 2632.34,167.106 2636.61,164.842 2640.89,162.584 2645.19,160.333 2649.5,158.091 2653.83,155.86 2658.18,153.639 2662.55,151.427 2666.93,149.227 2671.33,147.038 \n",
" 2675.74,144.865 2680.17,142.709 2684.62,140.57 2689.08,138.452 2693.56,136.357 2698.05,134.285 2702.56,132.238 2707.09,130.218 2711.63,128.228 2716.18,126.267 \n",
" 2720.75,124.339 2725.33,122.443 2729.93,120.583 2734.54,118.759 2739.16,116.972 2743.8,115.225 2748.45,113.518 2753.11,111.852 2757.78,110.23 2762.47,108.652 \n",
" 2767.16,107.118 2771.87,105.632 2776.59,104.193 2781.32,102.803 2786.06,101.462 2790.81,100.172 2795.57,98.9338 2800.34,97.7481 2805.12,96.616 2809.9,95.5381 \n",
" 2814.7,94.5154 2819.5,93.5487 2824.31,92.6387 2829.12,91.7861 2833.95,90.9916 2838.77,90.2558 2843.61,89.5794 2848.45,88.9628 2853.29,88.4067 2858.14,87.9116 \n",
" 2862.99,87.4778 2867.84,87.1059 2872.7,86.7961 2877.56,86.5489 2882.42,86.3646 2887.28,86.2434 2892.14,86.1857 2897,86.1915 2901.87,86.2611 2906.73,86.3946 \n",
" 2911.59,86.5921 2916.45,86.8537 2921.3,87.1793 2926.15,87.569 2931,88.0268 2935.85,88.5582 2940.69,89.1615 2945.52,89.8353 2950.35,90.5777 2955.17,91.387 \n",
" 2959.98,92.2617 2964.78,93.2001 2969.58,94.2005 2974.37,95.2612 2979.15,96.3808 2983.93,97.5576 2988.69,98.7899 2993.44,100.076 2998.19,101.415 3002.92,102.804 \n",
" 3007.65,104.243 3012.36,105.73 3017.06,107.263 3021.75,108.84 3026.43,110.46 3031.09,112.123 3035.75,113.825 3040.39,115.566 3045.02,117.344 3049.63,119.158 \n",
" 3054.23,121.006 3058.82,122.887 3063.39,124.8 3067.96,126.742 3072.5,128.713 3077.03,130.711 3081.55,132.734 3086.05,134.783 3090.54,136.854 3095.01,138.946 \n",
" 3099.47,141.059 3103.91,143.191 3108.34,145.341 3112.75,147.507 3117.14,149.688 3121.52,151.882 3125.88,154.089 3130.23,156.307 3134.56,158.535 3138.87,160.771 \n",
" 3143.17,163.015 3147.45,165.264 3151.71,167.519 3155.96,169.777 3160.19,172.038 3164.4,174.3 3168.6,176.561 3172.78,178.822 3176.95,181.081 3181.09,183.336 \n",
" 3185.22,185.586 3189.34,187.831 3193.44,190.068 3197.52,192.298 3201.58,194.519 3205.63,196.729 3209.66,198.928 3213.67,201.115 3217.67,203.289 3221.65,205.448 \n",
" 3225.62,207.591 3229.57,209.718 3233.5,211.827 3237.42,213.918 3241.32,215.989 3245.21,218.04 3249.08,220.069 3252.94,222.076 3256.78,224.059 3260.6,226.017 \n",
" 3264.42,227.95 3268.21,229.857 3271.99,231.737 3275.76,233.588 3279.52,235.411 3283.26,237.203 3286.98,238.965 3290.7,240.695 3294.4,242.393 3298.08,244.057 \n",
" 3301.76,245.687 3305.42,247.281 3309.07,248.84 3312.71,250.363 3316.34,251.847 3319.95,253.294 3323.56,254.702 3327.15,256.069 3330.73,257.396 3334.31,258.682 \n",
" 3337.87,259.926 3341.43,261.127 3344.97,262.285 3348.51,263.398 3352.04,264.466 3355.56,265.491 3359.08,266.473 3362.58,267.413 3366.08,268.31 3369.57,269.163 \n",
" 3373.06,269.974 3376.53,270.741 3380.01,271.464 3383.47,272.143 3386.93,272.779 3390.39,273.37 3393.84,273.917 3397.29,274.42 3400.74,274.878 3404.18,275.291 \n",
" 3407.62,275.66 3411.05,275.984 3414.49,276.263 3417.92,276.498 3421.35,276.687 3424.78,276.831 3428.21,276.931 3431.64,276.985 3435.07,276.995 3438.5,276.96 \n",
" 3441.93,276.88 3445.36,276.755 3448.79,276.586 3452.23,276.371 3455.66,276.113 3459.1,275.81 3462.54,275.462 3465.99,275.07 3469.44,274.635 3472.89,274.155 \n",
" 3476.35,273.632 3479.81,273.065 3483.27,272.455 3486.74,271.802 3490.22,271.106 3493.7,270.367 3497.19,269.586 3500.68,268.762 3504.18,267.897 3507.69,266.99 \n",
" 3511.2,266.042 3514.72,265.053 3518.25,264.023 3521.79,262.953 3525.33,261.843 3528.89,260.693 3532.45,259.504 3536.02,258.276 3539.6,257.01 3543.19,255.706 \n",
" 3546.79,254.364 3550.4,252.984 3554.03,251.569 3557.66,250.116 3561.3,248.628 3564.95,247.105 3568.62,245.547 3572.29,243.954 3575.98,242.328 3579.68,240.669 \n",
" 3583.4,238.977 3587.12,237.253 3590.86,235.497 3594.61,233.71 3598.38,231.893 3602.15,230.046 3605.94,228.171 3609.75,226.266 3613.57,224.334 3617.4,222.375 \n",
" 3621.25,220.389 3625.12,218.378 3628.99,216.343 3632.89,214.285 3636.8,212.206 3640.72,210.107 3644.67,207.988 3648.62,205.852 3652.6,203.699 3656.58,201.531 \n",
" 3660.59,199.348 3664.61,197.154 3668.65,194.947 3672.71,192.731 3676.78,190.505 3680.87,188.272 3684.97,186.032 3689.09,183.787 3693.23,181.538 3697.39,179.287 \n",
" 3701.56,177.034 3705.75,174.782 3709.96,172.53 3714.18,170.281 3718.42,168.036 3722.68,165.796 3726.95,163.563 3731.24,161.337 3735.55,159.12 3739.87,156.913 \n",
" 3744.21,154.718 3748.57,152.536 3752.94,150.368 3757.33,148.216 3761.74,146.08 3766.16,143.963 3770.59,141.865 3775.05,139.788 3779.51,137.733 3784,135.701 \n",
" 3788.49,133.694 3793.01,131.713 3797.53,129.76 3802.08,127.835 3806.63,125.94 3811.2,124.077 3815.79,122.247 3820.38,120.45 3825,118.689 3829.62,116.964 \n",
" 3834.26,115.278 3838.91,113.631 3843.57,112.025 3848.24,110.461 3852.92,108.941 3857.62,107.465 3862.33,106.036 3867.04,104.654 3871.77,103.321 3876.51,102.038 \n",
" 3881.26,100.807 3886.01,99.6294 3890.78,98.5059 3895.55,97.4382 3900.33,96.4276 3905.12,95.4755 3909.91,94.5834 3914.71,93.7526 3919.52,92.9844 3924.33,92.2804 \n",
" 3929.15,91.6418 3933.97,91.0714 3938.8,90.5698 3943.63,90.1366 3948.46,89.7714 3953.29,89.4735 3958.12,89.2427 3962.96,89.0782 3967.79,88.9797 3972.63,88.9465 \n",
" 3977.47,88.9782 3982.3,89.074 3987.13,89.2335 3991.96,89.4561 3996.79,89.741 4001.62,90.0877 4006.44,90.4954 4011.26,90.9637 4016.07,91.4916 4020.88,92.0786 \n",
" 4025.69,92.724 4030.49,93.4269 4035.28,94.1867 4040.07,95.0025 4044.85,95.8736 4049.63,96.7992 4054.39,97.7785 4059.16,98.8106 4063.91,99.8947 4068.65,101.03 \n",
" 4073.39,102.215 4078.11,103.45 4082.83,104.733 4087.54,106.064 4092.24,107.442 4096.93,108.865 4101.6,110.332 4106.27,111.844 4110.93,113.398 4115.57,114.993 \n",
" 4120.2,116.629 4124.82,118.305 4129.43,120.019 4134.03,121.771 4138.61,123.558 4143.18,125.381 4147.74,127.238 4152.28,129.128 4156.81,131.05 4161.33,133.002 \n",
" 4165.83,134.983 4170.32,136.992 4174.8,139.029 4179.26,141.091 4183.7,143.177 4188.13,145.287 4192.55,147.418 4196.94,149.57 4201.33,151.741 4205.7,153.93 \n",
" 4210.05,156.135 4214.39,158.355 4218.71,160.589 4223.01,162.836 4227.3,165.093 4231.57,167.36 4235.83,169.634 4240.07,171.916 4244.29,174.202 4248.49,176.492 \n",
" 4252.68,178.784 4256.85,181.076 4261.01,183.367 4265.15,185.656 4269.27,187.941 4273.37,190.219 4277.46,192.491 4281.53,194.753 4285.58,197.005 4289.62,199.244 \n",
" 4293.63,201.469 4297.63,203.679 4301.62,205.871 4305.58,208.044 4309.53,210.196 4313.46,212.326 4317.38,214.431 4321.28,216.51 4325.16,218.561 4329.02,220.582 \n",
" \n",
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" 2352.76,1195.64 2349.31,1195.66 2345.86,1195.73 2342.41,1195.85 2338.96,1196 2335.51,1196.21 2332.06,1196.46 2328.6,1196.75 2325.14,1197.09 2321.68,1197.47 \n",
" 2318.22,1197.9 2314.75,1198.37 2311.28,1198.89 2307.81,1199.45 2304.33,1200.06 2300.85,1200.7 2297.36,1201.4 2293.86,1202.13 2290.37,1202.91 2286.86,1203.74 \n",
" 2283.35,1204.6 2279.83,1205.51 2276.3,1206.46 2272.77,1207.45 2269.23,1208.48 2265.68,1209.56 2262.13,1210.67 2258.56,1211.83 2254.99,1213.02 2251.41,1214.26 \n",
" 2247.81,1215.53 2244.21,1216.85 2240.6,1218.2 2236.98,1219.59 2233.35,1221.01 2229.7,1222.47 2226.05,1223.97 2222.38,1225.51 2218.7,1227.08 2215.02,1228.68 \n",
" 2211.31,1230.32 2207.6,1231.99 2203.87,1233.7 2200.13,1235.43 2196.38,1237.2 2192.62,1238.99 2188.84,1240.82 2185.04,1242.68 2181.24,1244.56 2177.41,1246.47 \n",
" 2173.58,1248.41 2169.73,1250.37 2165.86,1252.36 2161.98,1254.37 2158.09,1256.4 2154.18,1258.46 2150.25,1260.53 2146.31,1262.63 2142.35,1264.74 2138.38,1266.88 \n",
" 2134.39,1269.03 2130.38,1271.19 2126.36,1273.37 2122.32,1275.56 2118.27,1277.77 2114.2,1279.99 2110.11,1282.21 2106,1284.45 2101.88,1286.69 2097.74,1288.94 \n",
" 2093.59,1291.19 2089.42,1293.45 2085.23,1295.71 2081.02,1297.97 2076.8,1300.23 2072.56,1302.49 2068.3,1304.75 2064.03,1307 2059.74,1309.24 2055.43,1311.48 \n",
" 2051.11,1313.71 2046.77,1315.93 2042.41,1318.13 2038.04,1320.33 2033.65,1322.5 2029.24,1324.66 2024.82,1326.81 2020.38,1328.93 2015.93,1331.04 2011.46,1333.12 \n",
" 2006.97,1335.18 2002.47,1337.21 1997.96,1339.22 1993.42,1341.2 1988.88,1343.15 1984.32,1345.07 1979.75,1346.96 1975.16,1348.82 1970.55,1350.64 1965.94,1352.42 \n",
" 1961.31,1354.17 1956.67,1355.88 1952.01,1357.54 1947.35,1359.17 1942.67,1360.75 1937.98,1362.28 1933.28,1363.77 1928.56,1365.22 1923.84,1366.61 1919.11,1367.96 \n",
" 1914.36,1369.26 1909.61,1370.51 1904.85,1371.7 1900.07,1372.84 1895.3,1373.93 1890.51,1374.96 1885.72,1375.93 1880.91,1376.85 1876.11,1377.71 1871.29,1378.51 \n",
" 1866.48,1379.25 1861.65,1379.94 1856.83,1380.56 1851.99,1381.12 1847.16,1381.62 1842.32,1382.05 1837.48,1382.43 1832.64,1382.74 1827.79,1382.99 1822.94,1383.17 \n",
" 1818.09,1383.3 1813.25,1383.35 1808.4,1383.35 1803.55,1383.28 1798.7,1383.15 1793.85,1382.95 1789.01,1382.7 1784.17,1382.37 1779.32,1381.99 1774.49,1381.54 \n",
" 1769.65,1381.03 1764.82,1380.46 1759.99,1379.83 1755.17,1379.13 1750.35,1378.38 1745.54,1377.57 1740.74,1376.69 1735.94,1375.76 1731.14,1374.77 1726.36,1373.73 \n",
" 1721.58,1372.62 1716.81,1371.46 1712.04,1370.25 1707.29,1368.99 1702.54,1367.67 1697.81,1366.3 1693.08,1364.88 1688.37,1363.41 1683.66,1361.9 1678.97,1360.34 \n",
" 1674.29,1358.73 1669.62,1357.08 1664.96,1355.39 1660.32,1353.66 1655.69,1351.89 1651.07,1350.08 1646.47,1348.24 1641.88,1346.36 1637.3,1344.45 1632.74,1342.51 \n",
" 1628.2,1340.54 1623.67,1338.55 1619.16,1336.53 1614.67,1334.48 1610.19,1332.41 1605.72,1330.32 1601.28,1328.21 1596.84,1326.07 1592.43,1323.92 1588.03,1321.75 \n",
" 1583.64,1319.56 1579.27,1317.36 1574.92,1315.15 1570.59,1312.93 1566.27,1310.7 1561.97,1308.46 1557.68,1306.21 1553.42,1303.96 1549.17,1301.7 1544.93,1299.45 \n",
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" 2352.76,1149.6 2349.65,1149.63 2346.55,1149.69 2343.45,1149.79 2340.34,1149.93 2337.23,1150.11 2334.13,1150.34 2331.02,1150.6 2327.9,1150.91 2324.79,1151.25 \n",
" 2321.67,1151.64 2318.55,1152.06 2315.43,1152.53 2312.3,1153.04 2309.17,1153.58 2306.04,1154.17 2302.9,1154.79 2299.75,1155.46 2296.6,1156.16 2293.45,1156.91 \n",
" 2290.29,1157.69 2287.12,1158.51 2283.95,1159.37 2280.77,1160.27 2277.58,1161.2 2274.39,1162.18 2271.19,1163.19 2267.98,1164.24 2264.76,1165.33 2261.54,1166.45 \n",
" 2258.3,1167.61 2255.06,1168.81 2251.81,1170.04 2248.55,1171.31 2245.28,1172.61 2242,1173.95 2238.71,1175.32 2235.41,1176.73 2232.09,1178.17 2228.77,1179.64 \n",
" 2225.44,1181.15 2222.09,1182.69 2218.74,1184.26 2215.37,1185.86 2211.99,1187.5 2208.59,1189.16 2205.19,1190.85 2201.77,1192.58 2198.34,1194.33 2194.89,1196.11 \n",
" 2191.44,1197.92 2187.96,1199.75 2184.48,1201.61 2180.98,1203.5 2177.46,1205.41 2173.94,1207.34 2170.39,1209.3 2166.83,1211.29 2163.26,1213.29 2159.67,1215.31 \n",
" 2156.07,1217.36 2152.45,1219.43 2148.82,1221.51 2145.17,1223.61 2141.5,1225.73 2137.82,1227.87 2134.13,1230.02 2130.41,1232.18 2126.68,1234.36 2122.94,1236.56 \n",
" 2119.17,1238.76 2115.4,1240.97 2111.6,1243.2 2107.79,1245.43 2103.96,1247.67 2100.11,1249.92 2096.25,1252.17 2092.37,1254.42 2088.47,1256.68 2084.56,1258.94 \n",
" 2080.63,1261.2 2076.68,1263.46 2072.72,1265.72 2068.74,1267.97 2064.74,1270.22 2060.72,1272.47 2056.69,1274.71 2052.64,1276.94 2048.58,1279.16 2044.5,1281.37 \n",
" 2040.4,1283.57 2036.28,1285.76 2032.15,1287.93 2028,1290.09 2023.84,1292.23 2019.66,1294.35 2015.47,1296.45 2011.26,1298.53 2007.03,1300.59 2002.79,1302.63 \n",
" 1998.53,1304.64 1994.26,1306.63 1989.97,1308.59 1985.67,1310.52 1981.36,1312.42 1977.03,1314.28 1972.68,1316.12 1968.33,1317.92 1963.96,1319.69 1959.57,1321.42 \n",
" 1955.18,1323.12 1950.77,1324.78 1946.34,1326.39 1941.91,1327.97 1937.47,1329.51 1933.01,1331 1928.54,1332.44 1924.06,1333.84 1919.58,1335.2 1915.08,1336.5 \n",
" 1910.57,1337.76 1906.05,1338.96 1901.53,1340.12 1897,1341.22 1892.45,1342.27 1887.91,1343.26 1883.35,1344.2 1878.79,1345.09 1874.22,1345.92 1869.64,1346.69 \n",
" 1865.06,1347.41 1860.48,1348.07 1855.89,1348.67 1851.29,1349.21 1846.69,1349.7 1842.09,1350.12 1837.49,1350.48 1832.88,1350.79 1828.27,1351.03 1823.66,1351.22 \n",
" 1819.04,1351.34 1814.43,1351.4 1809.82,1351.41 1805.2,1351.35 1800.59,1351.23 1795.97,1351.05 1791.36,1350.82 1786.75,1350.52 1782.14,1350.16 1777.54,1349.74 \n",
" 1772.94,1349.27 1768.34,1348.73 1763.75,1348.14 1759.16,1347.49 1754.57,1346.78 1749.99,1346.01 1745.42,1345.19 1740.86,1344.31 1736.3,1343.38 1731.75,1342.4 \n",
" 1727.2,1341.36 1722.67,1340.27 1718.14,1339.12 1713.62,1337.93 1709.11,1336.68 1704.62,1335.38 1700.13,1334.04 1695.65,1332.65 1691.18,1331.22 1686.72,1329.74 \n",
" 1682.28,1328.21 1677.84,1326.65 1673.42,1325.04 1669.01,1323.4 1664.61,1321.71 1660.23,1319.99 1655.85,1318.23 1651.49,1316.44 1647.15,1314.61 1642.82,1312.75 \n",
" 1638.5,1310.86 1634.2,1308.94 1629.91,1306.99 1625.63,1305.01 1621.37,1303.01 1617.13,1300.98 1612.9,1298.93 1608.69,1296.85 1604.49,1294.75 1600.3,1292.64 \n",
" 1596.14,1290.5 1591.99,1288.35 1587.85,1286.18 1583.73,1283.99 1579.63,1281.79 1575.55,1279.58 1571.48,1277.36 1567.43,1275.13 1563.39,1272.89 1559.37,1270.64 \n",
" 1555.37,1268.39 1551.39,1266.13 1547.42,1263.87 1543.47,1261.61 1539.53,1259.35 1535.62,1257.09 1531.72,1254.83 1527.83,1252.57 1523.97,1250.32 1520.12,1248.08 \n",
" 1516.29,1245.84 1512.47,1243.6 1508.67,1241.38 1504.89,1239.16 1501.13,1236.96 1497.38,1234.77 1493.65,1232.59 1489.93,1230.42 1486.23,1228.27 1482.55,1226.13 \n",
" 1478.88,1224.01 1475.22,1221.9 1471.59,1219.81 1467.97,1217.74 1464.36,1215.7 1460.77,1213.67 1457.19,1211.66 1453.63,1209.67 1450.09,1207.71 1446.56,1205.77 \n",
" 1443.04,1203.85 1439.54,1201.96 1436.05,1200.1 1432.57,1198.26 1429.11,1196.44 1425.66,1194.66 1422.23,1192.9 1418.81,1191.17 1415.4,1189.47 1412,1187.8 \n",
" 1408.62,1186.16 1405.25,1184.56 1401.89,1182.98 1398.54,1181.43 1395.21,1179.92 1391.88,1178.44 1388.57,1176.99 1385.27,1175.58 1381.97,1174.2 1378.69,1172.86 \n",
" 1375.42,1171.55 1372.16,1170.27 1368.9,1169.04 1365.66,1167.83 1362.43,1166.67 1359.2,1165.54 1355.98,1164.44 1352.77,1163.39 1349.57,1162.37 1346.37,1161.39 \n",
" 1343.19,1160.45 1340.01,1159.55 1336.84,1158.68 1333.67,1157.86 1330.51,1157.07 1327.35,1156.33 1324.21,1155.62 1321.06,1154.95 1317.92,1154.32 1314.79,1153.74 \n",
" 1311.66,1153.19 1308.53,1152.68 1305.41,1152.21 1302.29,1151.78 1299.17,1151.4 1296.06,1151.05 1292.95,1150.74 1289.84,1150.47 1286.73,1150.25 1283.63,1150.06 \n",
" 1280.52,1149.92 1277.42,1149.81 1274.31,1149.75 1271.21,1149.72 1268.11,1149.74 1265,1149.8 1261.9,1149.9 1258.79,1150.03 1255.68,1150.21 1252.58,1150.43 \n",
" 1249.46,1150.69 1246.35,1150.99 1243.24,1151.33 1240.12,1151.71 1237,1152.13 1233.87,1152.58 1230.74,1153.08 1227.61,1153.62 1224.47,1154.2 1221.33,1154.82 \n",
" 1218.19,1155.47 1215.03,1156.17 1211.88,1156.9 1208.72,1157.67 1205.55,1158.48 1202.37,1159.33 1199.19,1160.22 1196.01,1161.15 1192.81,1162.11 1189.61,1163.11 \n",
" 1186.4,1164.15 1183.18,1165.23 1179.96,1166.34 1176.72,1167.49 1173.48,1168.67 1170.23,1169.89 1166.97,1171.15 1163.7,1172.44 1160.42,1173.77 1157.13,1175.13 \n",
" 1153.83,1176.53 1150.52,1177.96 1147.2,1179.43 1143.86,1180.93 1140.52,1182.46 1137.17,1184.03 1133.8,1185.62 1130.42,1187.25 1127.03,1188.91 1123.63,1190.6 \n",
" 1120.21,1192.32 1116.78,1194.07 1113.34,1195.84 1109.88,1197.65 1106.42,1199.48 1102.93,1201.33 1099.44,1203.22 1095.93,1205.12 1092.4,1207.06 1088.86,1209.01 \n",
" 1085.31,1210.99 1081.74,1212.99 1078.15,1215.01 1074.55,1217.06 1070.93,1219.12 1067.3,1221.2 1063.66,1223.3 1059.99,1225.42 1056.31,1227.55 1052.62,1229.7 \n",
" 1048.91,1231.86 1045.18,1234.04 1041.43,1236.23 1037.67,1238.43 1033.9,1240.64 1030.1,1242.86 1026.29,1245.09 1022.46,1247.33 1018.62,1249.57 1014.76,1251.82 \n",
" 1010.88,1254.08 1006.99,1256.34 1003.07,1258.59 999.146,1260.86 995.2,1263.12 991.238,1265.38 987.259,1267.63 983.263,1269.89 979.251,1272.13 975.221,1274.38 \n",
" 971.175,1276.61 967.112,1278.84 963.033,1281.05 958.937,1283.26 954.825,1285.45 950.696,1287.62 946.552,1289.79 942.391,1291.93 938.214,1294.06 934.021,1296.16 \n",
" 929.812,1298.25 925.588,1300.32 921.347,1302.36 917.091,1304.38 912.82,1306.38 908.534,1308.36 904.233,1310.3 899.918,1312.22 895.588,1314.1 891.245,1315.96 \n",
" 886.888,1317.78 882.518,1319.56 878.135,1321.31 873.739,1323.02 869.331,1324.69 864.911,1326.31 860.479,1327.9 856.036,1329.44 851.581,1330.94 847.116,1332.39 \n",
" 842.641,1333.8 838.155,1335.16 833.66,1336.47 829.155,1337.73 824.641,1338.94 820.118,1340.1 815.587,1341.2 811.049,1342.26 806.502,1343.26 801.948,1344.2 \n",
" 797.388,1345.09 792.821,1345.92 788.248,1346.7 783.669,1347.42 779.085,1348.08 774.496,1348.69 769.902,1349.23 765.305,1349.72 760.704,1350.15 756.099,1350.52 \n",
" 751.492,1350.83 746.882,1351.08 742.27,1351.27 737.657,1351.4 733.042,1351.47 728.427,1351.48 723.811,1351.43 719.196,1351.32 714.582,1351.15 709.968,1350.92 \n",
" 705.356,1350.63 700.746,1350.28 696.139,1349.87 691.535,1349.41 686.934,1348.88 682.337,1348.3 677.744,1347.66 673.157,1346.96 668.575,1346.2 663.998,1345.39 \n",
" 659.429,1344.52 654.866,1343.6 650.31,1342.62 645.763,1341.59 641.224,1340.51 636.694,1339.38 632.174,1338.19 627.663,1336.95 623.162,1335.66 618.671,1334.32 \n",
" 614.191,1332.94 609.722,1331.51 605.263,1330.03 600.816,1328.5 596.381,1326.94 591.957,1325.33 587.546,1323.68 583.147,1322 578.762,1320.27 574.389,1318.51 \n",
" 570.029,1316.72 565.683,1314.89 561.351,1313.03 557.032,1311.14 552.728,1309.22 548.438,1307.27 544.163,1305.3 539.903,1303.29 535.657,1301.27 531.427,1299.22 \n",
" 527.212,1297.15 523.012,1295.06 518.828,1292.94 514.659,1290.81 510.507,1288.67 506.37,1286.51 502.25,1284.33 498.146,1282.14 494.058,1279.94 489.986,1277.72 \n",
" 485.931,1275.5 481.893,1273.27 477.871,1271.03 473.866,1268.78 469.877,1266.53 465.906,1264.28 461.951,1262.02 458.013,1259.76 454.091,1257.5 450.187,1255.25 \n",
" 446.3,1252.99 442.429,1250.74 438.575,1248.49 434.738,1246.25 430.918,1244.01 427.115,1241.78 423.328,1239.56 419.558,1237.35 415.804,1235.15 412.067,1232.96 \n",
" 408.347,1230.79 404.642,1228.63 400.954,1226.48 397.283,1224.35 393.627,1222.24 389.987,1220.15 386.363,1218.07 382.754,1216.02 379.161,1213.99 375.584,1211.97 \n",
" 372.021,1209.99 368.474,1208.02 364.941,1206.08 361.423,1204.17 357.919,1202.27 354.429,1200.41 350.953,1198.57 347.49,1196.76 344.042,1194.97 340.606,1193.21 \n",
" 337.183,1191.49 333.773,1189.79 330.376,1188.12 326.991,1186.48 323.618,1184.87 320.257,1183.29 316.907,1181.74 313.569,1180.23 310.242,1178.74 306.926,1177.29 \n",
" 303.621,1175.88 300.326,1174.49 297.041,1173.15 293.766,1171.83 290.501,1170.55 287.245,1169.31 283.998,1168.1 280.76,1166.93 277.531,1165.79 274.31,1164.69 \n",
" 271.097,1163.63 267.892,1162.6 264.694,1161.61 261.504,1160.66 258.32,1159.75 255.144,1158.87 251.974,1158.04 248.81,1157.24 245.652,1156.48 242.499,1155.76 \n",
" 239.352,1155.08 236.21,1154.44 233.072,1153.84 229.939,1153.28 226.81,1152.76 223.685,1152.28 220.564,1151.84 217.446,1151.44 214.33,1151.08 211.217,1150.76 \n",
" 208.107,1150.49 204.999,1150.25 201.892,1150.05 198.786,1149.9 195.682,1149.78 192.578,1149.71 189.475,1149.67 186.372,1149.68 183.269,1149.73 180.165,1149.82 \n",
" 177.06,1149.95 173.954,1150.12 170.847,1150.33 167.737,1150.58 164.627,1150.87 161.516,1151.2 158.403,1151.57 155.289,1151.98 152.172,1152.43 149.053,1152.92 \n",
" 145.93,1153.45 142.804,1154.02 139.673,1154.63 136.539,1155.28 133.399,1155.97 130.255,1156.7 127.105,1157.47 123.949,1158.27 120.787,1159.12 117.618,1160 \n",
" 114.442,1160.93 111.259,1161.89 108.068,1162.89 104.87,1163.93 101.663,1165.01 98.4469,1166.12 95.2223,1167.28 91.9885,1168.47 88.7451,1169.69 85.4918,1170.96 \n",
" 82.2285,1172.26 78.9547,1173.59 75.6702,1174.96 72.3747,1176.37 69.068,1177.81 65.7499,1179.28 62.42,1180.79 59.0781,1182.33 55.7239,1183.9 52.3573,1185.51 \n",
" 48.9781,1187.15 45.5859,1188.81 42.1806,1190.51 38.762,1192.24 35.3299,1194 31.8841,1195.79 28.4243,1197.6 24.9505,1199.44 21.4623,1201.31 17.9598,1203.21 \n",
" 14.4426,1205.13 10.9107,1207.07 7.36393,1209.04 3.80207,1211.03 0.225014,1213.05 -3.36736,1215.08 -6.97518,1217.14 -10.5986,1219.22 -14.2376,1221.31 -17.8925,1223.42 \n",
" -21.5632,1225.55 -25.25,1227.7 -28.9528,1229.86 -32.6717,1232.04 -36.4069,1234.23 -40.1584,1236.43 -43.9262,1238.64 -47.7104,1240.87 -51.5111,1243.1 -55.3284,1245.34 \n",
" -59.1621,1247.59 -63.0125,1249.85 -66.8794,1252.11 -70.763,1254.37 -74.6632,1256.64 -78.5801,1258.9 -82.5136,1261.17 -86.4637,1263.44 -90.4304,1265.71 -94.4138,1267.97 \n",
" -98.4137,1270.23 -102.43,1272.48 -106.463,1274.72 -110.513,1276.96 -114.579,1279.19 -118.661,1281.4 -122.759,1283.61 -126.875,1285.8 -131.007,1287.98 -135.155,1290.15 \n",
" -139.32,1292.31 -143.501,1294.44 -147.698,1296.56 -151.91,1298.66 -156.139,1300.73 -160.382,1302.79 -164.641,1304.81 -168.915,1306.82 -173.203,1308.79 -177.506,1310.73 \n",
" -181.823,1312.65 -186.155,1314.53 -190.5,1316.38 -194.858,1318.19 -199.23,1319.96 -203.615,1321.7 -208.012,1323.41 -212.422,1325.07 -216.844,1326.69 -221.278,1328.26 \n",
" -225.723,1329.8 -230.18,1331.29 -234.647,1332.74 -239.125,1334.14 -243.614,1335.49 -248.112,1336.79 -252.62,1338.05 -257.137,1339.25 -261.663,1340.41 -266.198,1341.51 \n",
" -270.741,1342.56 -275.292,1343.56 -279.85,1344.51 -284.415,1345.4 -288.986,1346.23 -293.564,1347.02 -298.148,1347.74 -302.737,1348.41 -307.332,1349.02 -311.93,1349.57 \n",
" -316.533,1350.07 -321.14,1350.51 -325.75,1350.88 -330.363,1351.2 -334.978,1351.46 -339.595,1351.67 -344.214,1351.81 -348.833,1351.89 -353.453,1351.91 -358.074,1351.87 \n",
" -362.693,1351.77 -367.312,1351.61 -371.929,1351.39 -376.543,1351.11 -381.156,1350.77 -385.765,1350.37 -390.371,1349.91 -394.973,1349.39 -399.569,1348.8 -404.16,1348.15 \n",
" -408.746,1347.44 -413.324,1346.66 -417.896,1345.82 -422.461,1344.93 -427.019,1343.97 -431.568,1342.96 -436.11,1341.89 -440.642,1340.77 -445.166,1339.6 -449.681,1338.37 \n",
" -454.186,1337.09 -458.681,1335.77 -463.166,1334.4 -467.64,1332.98 -472.104,1331.51 -476.557,1330.01 -480.998,1328.46 -485.427,1326.87 -489.845,1325.24 -494.251,1323.57 \n",
" -498.644,1321.87 -503.024,1320.13 -507.391,1318.35 -511.746,1316.54 -516.087,1314.7 -520.414,1312.83 -524.727,1310.93 -529.027,1309 -533.312,1307.04 -537.583,1305.06 \n",
" -541.84,1303.05 -546.081,1301.02 -550.308,1298.96 -554.52,1296.89 -558.716,1294.8 -562.897,1292.68 -567.063,1290.55 -571.213,1288.4 -575.347,1286.24 -579.466,1284.07 \n",
" -583.568,1281.88 -587.655,1279.67 -591.725,1277.46 -595.779,1275.24 -599.817,1273.01 -603.838,1270.77 -607.843,1268.53 -611.832,1266.28 -615.804,1264.03 -619.759,1261.77 \n",
" -623.697,1259.51 -627.62,1257.26 -631.525,1255 -635.414,1252.74 -639.286,1250.49 -643.141,1248.24 -646.98,1245.99 -650.802,1243.75 -654.607,1241.51 -658.396,1239.29 \n",
" -662.168,1237.07 -665.924,1234.86 -669.663,1232.66 -673.386,1230.48 -677.093,1228.3 -680.783,1226.14 -684.457,1224 -688.116,1221.87 -691.758,1219.76 -695.384,1217.66 \n",
" -698.995,1215.58 -702.59,1213.53 -706.169,1211.49 -709.734,1209.47 -713.283,1207.48 -716.816,1205.51 -720.335,1203.56 -723.84,1201.64 -727.329,1199.74 -730.805,1197.88 \n",
" -734.266,1196.03 -737.713,1194.22 -741.146,1192.44 -744.566,1190.69 -747.972,1188.96 -751.365,1187.27 -754.746,1185.62 -758.113,1183.99 -761.468,1182.41 -764.811,1180.85 \n",
" -768.143,1179.33 -771.462,1177.85 -774.771,1176.39 -778.068,1174.97 -781.355,1173.59 -784.631,1172.24 -787.898,1170.93 -791.154,1169.65 -794.401,1168.4 -797.639,1167.19 \n",
" -800.868,1166.02 -804.089,1164.89 -807.301,1163.79 -810.505,1162.73 -813.701,1161.7 -816.89,1160.72 -820.071,1159.77 -823.246,1158.85 -826.414,1157.98 -829.576,1157.14 \n",
" -832.732,1156.35 -835.882,1155.59 -839.027,1154.87 -842.166,1154.19 -845.301,1153.54 -848.431,1152.94 -851.557,1152.38 -854.679,1151.85 -857.797,1151.37 -860.912,1150.92 \n",
" -864.024,1150.52 -867.133,1150.15 -870.24,1149.83 -873.344,1149.54 -876.447,1149.29 -879.548,1149.09 -882.647,1148.92 -885.746,1148.8 -888.843,1148.72 -891.941,1148.67 \n",
" -895.038,1148.67 -898.135,1148.7 -901.233,1148.78 -904.332,1148.9 -907.431,1149.06 -910.532,1149.25 -913.634,1149.49 -916.739,1149.77 -919.845,1150.09 -922.954,1150.45 \n",
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" 1913.58,1306.18 1909.3,1307.42 1905.01,1308.6 1900.71,1309.74 1896.4,1310.83 1892.09,1311.87 1887.77,1312.86 1883.44,1313.79 1879.1,1314.68 1874.76,1315.51 \n",
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" 1177.51,1123.18 1174.6,1124.36 1171.68,1125.57 1168.75,1126.82 1165.82,1128.1 1162.87,1129.41 1159.92,1130.75 1156.95,1132.12 1153.98,1133.52 1150.99,1134.96 \n",
" 1147.99,1136.42 1144.98,1137.92 1141.96,1139.44 1138.93,1140.99 1135.88,1142.58 1132.83,1144.19 1129.76,1145.83 1126.68,1147.49 1123.58,1149.19 1120.48,1150.91 \n",
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" 774.414,1318.44 770.044,1319 765.67,1319.5 761.292,1319.94 756.912,1320.33 752.529,1320.65 748.145,1320.91 743.76,1321.11 739.374,1321.25 734.987,1321.32 \n",
" 730.6,1321.34 726.214,1321.3 721.829,1321.2 717.446,1321.04 713.064,1320.82 708.684,1320.54 704.307,1320.21 699.933,1319.82 695.562,1319.38 691.196,1318.88 \n",
" 686.833,1318.32 682.475,1317.71 678.122,1317.05 673.774,1316.34 669.433,1315.57 665.097,1314.75 660.767,1313.88 656.445,1312.96 652.129,1311.99 647.821,1310.98 \n",
" 643.521,1309.91 639.229,1308.8 634.945,1307.64 630.67,1306.44 626.404,1305.19 622.148,1303.89 617.901,1302.56 613.664,1301.18 609.437,1299.75 605.221,1298.29 \n",
" 601.016,1296.79 596.822,1295.25 592.639,1293.67 588.468,1292.05 584.308,1290.4 580.161,1288.71 576.026,1286.98 571.904,1285.22 567.794,1283.43 563.698,1281.61 \n",
" 559.615,1279.75 555.545,1277.87 551.489,1275.95 547.447,1274.01 543.419,1272.04 539.406,1270.05 535.406,1268.03 531.422,1265.98 527.452,1263.91 523.498,1261.82 \n",
" 519.558,1259.71 515.634,1257.58 511.725,1255.43 507.832,1253.26 503.955,1251.08 500.094,1248.88 496.249,1246.67 492.42,1244.44 488.607,1242.21 484.811,1239.96 \n",
" 481.031,1237.7 477.268,1235.43 473.521,1233.16 469.792,1230.88 466.079,1228.59 462.383,1226.31 458.705,1224.02 455.043,1221.72 451.399,1219.43 447.772,1217.14 \n",
" 444.162,1214.86 440.57,1212.58 436.995,1210.3 433.438,1208.03 429.898,1205.77 426.376,1203.52 422.871,1201.28 419.383,1199.05 415.914,1196.84 412.461,1194.64 \n",
" 409.027,1192.46 405.61,1190.29 402.21,1188.15 398.826,1186.02 395.458,1183.9 392.107,1181.8 388.771,1179.72 385.45,1177.66 382.145,1175.61 378.855,1173.59 \n",
" 375.58,1171.58 372.32,1169.59 369.075,1167.62 365.845,1165.68 362.629,1163.75 359.427,1161.85 356.239,1159.97 353.066,1158.12 349.906,1156.28 346.759,1154.48 \n",
" 343.626,1152.69 340.506,1150.93 337.399,1149.2 334.305,1147.5 331.224,1145.82 328.155,1144.16 325.098,1142.54 322.054,1140.94 319.021,1139.37 315.999,1137.83 \n",
" 312.989,1136.32 309.991,1134.84 307.003,1133.39 304.026,1131.97 301.06,1130.57 298.104,1129.21 295.158,1127.88 292.222,1126.59 289.295,1125.32 286.378,1124.09 \n",
" 283.47,1122.88 280.571,1121.71 277.681,1120.58 274.799,1119.47 271.926,1118.4 269.06,1117.37 266.202,1116.36 263.352,1115.39 260.509,1114.46 257.672,1113.56 \n",
" 254.843,1112.69 252.019,1111.86 249.202,1111.06 246.391,1110.3 243.586,1109.57 240.786,1108.88 237.991,1108.22 235.2,1107.6 232.414,1107.01 229.633,1106.46 \n",
" 226.855,1105.94 224.081,1105.46 221.31,1105.02 218.543,1104.61 215.779,1104.23 213.019,1103.9 210.263,1103.59 207.51,1103.33 204.76,1103.1 202.013,1102.91 \n",
" 199.267,1102.75 196.523,1102.64 193.78,1102.55 191.039,1102.51 188.298,1102.5 185.557,1102.53 182.816,1102.59 180.075,1102.69 177.333,1102.83 174.59,1103.01 \n",
" 171.846,1103.22 169.099,1103.47 166.351,1103.75 163.6,1104.07 160.847,1104.43 158.09,1104.82 155.33,1105.25 152.566,1105.72 149.798,1106.22 147.026,1106.76 \n",
" 144.25,1107.33 141.468,1107.94 138.682,1108.59 135.889,1109.27 133.092,1109.98 130.288,1110.73 127.477,1111.52 124.661,1112.34 121.837,1113.19 119.006,1114.08 \n",
" 116.168,1115.01 113.322,1115.96 110.469,1116.95 107.607,1117.98 104.737,1119.03 101.858,1120.12 98.9702,1121.25 96.0734,1122.4 93.1674,1123.59 90.2518,1124.81 \n",
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" 1242.88,1014.06 1240.8,1014.44 1238.72,1014.86 1236.63,1015.3 1234.54,1015.77 1232.44,1016.27 1230.34,1016.79 1228.24,1017.34 1226.13,1017.92 1224.02,1018.53 \n",
" 1221.9,1019.16 1219.78,1019.82 1217.65,1020.5 1215.51,1021.22 1213.37,1021.96 1211.23,1022.72 1209.08,1023.51 1206.92,1024.33 1204.75,1025.18 1202.58,1026.05 \n",
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" 152.758,1016.05 150.659,1016.53 148.557,1017.04 146.451,1017.57 144.341,1018.13 142.228,1018.72 140.11,1019.33 137.988,1019.98 135.861,1020.65 133.729,1021.34 \n",
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" 1897.48,1233.57 1893.75,1234.64 1890,1235.66 1886.25,1236.63 1882.5,1237.57 1878.73,1238.45 1874.96,1239.29 1871.19,1240.09 1867.41,1240.83 1863.62,1241.53 \n",
" 1859.83,1242.19 1856.03,1242.79 1852.23,1243.35 1848.43,1243.86 1844.62,1244.32 1840.81,1244.73 1837,1245.09 1833.18,1245.4 1829.37,1245.66 1825.55,1245.87 \n",
" 1821.73,1246.03 1817.9,1246.14 1814.08,1246.2 1810.26,1246.21 1806.44,1246.17 1802.62,1246.08 1798.79,1245.94 1794.97,1245.75 1791.15,1245.51 1787.34,1245.22 \n",
" 1783.52,1244.87 1779.71,1244.48 1775.9,1244.04 1772.09,1243.55 1768.29,1243.01 1764.49,1242.43 1760.69,1241.79 1756.9,1241.11 1753.12,1240.38 1749.34,1239.6 \n",
" 1745.56,1238.77 1741.79,1237.9 1738.03,1236.98 1734.27,1236.02 1730.52,1235.01 1726.78,1233.96 1723.05,1232.86 1719.32,1231.72 1715.6,1230.54 1711.89,1229.31 \n",
" 1708.19,1228.05 1704.5,1226.74 1700.82,1225.4 1697.15,1224.01 1693.49,1222.59 1689.84,1221.13 1686.2,1219.64 1682.57,1218.11 1678.96,1216.54 1675.36,1214.94 \n",
" 1671.76,1213.31 1668.19,1211.65 1664.62,1209.95 1661.07,1208.23 1657.53,1206.48 1654.01,1204.7 1650.5,1202.9 1647.01,1201.06 1643.53,1199.2 1640.06,1197.31 \n",
" 1636.61,1195.4 1633.17,1193.47 1629.74,1191.51 1626.33,1189.53 1622.94,1187.53 1619.56,1185.51 1616.2,1183.47 1612.85,1181.41 1609.51,1179.33 1606.2,1177.24 \n",
" 1602.9,1175.13 1599.61,1173.01 1596.34,1170.87 1593.08,1168.72 1589.85,1166.55 1586.62,1164.38 1583.42,1162.19 1580.23,1159.99 1577.06,1157.79 1573.9,1155.57 \n",
" 1570.76,1153.35 1567.64,1151.12 1564.53,1148.89 1561.44,1146.64 1558.37,1144.4 1555.31,1142.15 1552.27,1139.89 1549.25,1137.64 1546.25,1135.38 1543.26,1133.12 \n",
" 1540.29,1130.86 1537.33,1128.6 1534.39,1126.34 1531.47,1124.08 1528.57,1121.82 1525.68,1119.57 1522.81,1117.32 1519.96,1115.07 1517.12,1112.83 1514.3,1110.6 \n",
" 1511.5,1108.37 1508.72,1106.14 1505.95,1103.92 1503.19,1101.71 1500.46,1099.51 1497.74,1097.32 1495.03,1095.14 1492.35,1092.96 1489.68,1090.8 1487.02,1088.65 \n",
" 1484.38,1086.5 1481.76,1084.37 1479.16,1082.25 1476.57,1080.15 1473.99,1078.05 1471.43,1075.97 1468.89,1073.9 1466.36,1071.85 1463.85,1069.8 1461.35,1067.78 \n",
" 1458.87,1065.76 1456.4,1063.76 1453.95,1061.78 1451.51,1059.81 1449.08,1057.86 1446.67,1055.92 1444.28,1054 1441.9,1052.1 1439.53,1050.21 1437.18,1048.34 \n",
" 1434.84,1046.49 1432.52,1044.66 1430.21,1042.84 1427.91,1041.04 1425.63,1039.26 1423.36,1037.49 1421.1,1035.75 1418.85,1034.03 1416.62,1032.32 1414.4,1030.63 \n",
" 1412.2,1028.96 1410,1027.32 1407.82,1025.69 1405.65,1024.08 1403.49,1022.49 1401.35,1020.93 1399.22,1019.38 1397.09,1017.85 1394.98,1016.35 1392.88,1014.86 \n",
" 1390.79,1013.4 1388.72,1011.95 1386.65,1010.53 1384.59,1009.13 1382.55,1007.75 1380.51,1006.4 1378.49,1005.06 1376.47,1003.75 1374.47,1002.45 1372.47,1001.18 \n",
" 1370.48,999.934 1368.51,998.707 1366.54,997.502 1364.58,996.319 1362.63,995.158 1360.69,994.019 1358.75,992.902 1356.83,991.807 1354.91,990.734 1353,989.683 \n",
" 1351.1,988.655 1349.21,987.648 1347.32,986.664 1345.44,985.703 1343.57,984.766 1341.71,983.852 1339.85,982.961 1338,982.094 1336.16,981.25 1334.32,980.43 \n",
" 1332.49,979.632 1330.67,978.858 1328.85,978.106 1327.03,977.378 1325.23,976.673 1323.42,975.99 1321.63,975.33 1319.84,974.694 1318.05,974.08 1316.27,973.488 \n",
" 1314.49,972.92 1312.72,972.374 1310.95,971.851 1309.18,971.35 1307.42,970.872 1305.66,970.416 1303.9,969.983 1302.15,969.573 1300.4,969.185 1298.66,968.819 \n",
" 1296.91,968.475 1295.17,968.154 1293.43,967.856 1291.69,967.579 1289.96,967.325 1288.22,967.093 1286.49,966.883 1284.76,966.696 1283.03,966.531 1281.3,966.388 \n",
" 1279.58,966.267 1277.85,966.168 1276.12,966.091 1274.4,966.037 1272.67,966.004 1270.94,965.994 1269.22,966.006 1267.49,966.039 1265.76,966.095 1264.04,966.173 \n",
" 1262.31,966.273 1260.58,966.395 1258.85,966.539 1257.11,966.705 1255.38,966.894 1253.64,967.104 1251.9,967.336 1250.17,967.59 1248.42,967.867 1246.68,968.165 \n",
" 1244.93,968.486 1243.18,968.828 1241.43,969.193 1239.67,969.579 1237.92,969.988 1236.15,970.419 1234.39,970.872 1232.62,971.347 1230.85,971.845 1229.07,972.364 \n",
" 1227.29,972.906 1225.5,973.47 1223.71,974.056 1221.92,974.664 1220.12,975.295 1218.31,975.947 1216.5,976.623 1214.69,977.32 1212.87,978.04 1211.04,978.782 \n",
" 1209.21,979.547 1207.38,980.334 1205.53,981.144 1203.68,981.976 1201.83,982.831 1199.97,983.708 1198.1,984.608 1196.22,985.53 1194.34,986.476 1192.45,987.444 \n",
" 1190.56,988.434 1188.65,989.448 1186.74,990.484 1184.82,991.544 1182.9,992.626 1180.96,993.731 1179.02,994.859 1177.07,996.011 1175.11,997.185 1173.14,998.383 \n",
" 1171.17,999.603 1169.18,1000.85 1167.19,1002.11 1165.19,1003.4 1163.17,1004.71 1161.15,1006.04 1159.12,1007.4 1157.08,1008.77 1155.02,1010.16 1152.96,1011.58 \n",
" 1150.89,1013.02 1148.8,1014.48 1146.71,1015.95 1144.6,1017.45 1142.48,1018.98 1140.35,1020.52 1138.21,1022.08 1136.06,1023.66 1133.89,1025.26 1131.71,1026.89 \n",
" 1129.52,1028.53 1127.32,1030.19 1125.11,1031.87 1122.88,1033.58 1120.64,1035.3 1118.38,1037.04 1116.12,1038.8 1113.84,1040.57 1111.54,1042.37 1109.24,1044.18 \n",
" 1106.92,1046.02 1104.58,1047.86 1102.23,1049.73 1099.87,1051.62 1097.49,1053.52 1095.1,1055.44 1092.7,1057.37 1090.28,1059.32 1087.84,1061.29 1085.39,1063.27 \n",
" 1082.93,1065.27 1080.45,1067.28 1077.95,1069.31 1075.44,1071.35 1072.92,1073.4 1070.38,1075.47 1067.82,1077.55 1065.25,1079.65 1062.66,1081.75 1060.06,1083.87 \n",
" 1057.44,1086 1054.8,1088.14 1052.15,1090.29 1049.49,1092.46 1046.8,1094.63 1044.1,1096.81 1041.39,1099 1038.65,1101.2 1035.9,1103.4 1033.14,1105.62 \n",
" 1030.36,1107.84 1027.56,1110.07 1024.74,1112.3 1021.91,1114.55 1019.06,1116.79 1016.2,1119.05 1013.31,1121.3 1010.41,1123.57 1007.5,1125.83 1004.56,1128.1 \n",
" 1001.61,1130.37 998.643,1132.64 995.658,1134.91 992.656,1137.18 989.637,1139.44 986.602,1141.7 983.549,1143.96 980.479,1146.22 977.393,1148.47 974.289,1150.71 \n",
" 971.169,1152.95 968.033,1155.17 964.879,1157.39 961.709,1159.6 958.523,1161.8 955.32,1163.99 952.101,1166.17 948.866,1168.33 945.614,1170.48 942.347,1172.62 \n",
" 939.064,1174.74 935.765,1176.85 932.45,1178.94 929.12,1181.01 925.774,1183.06 922.413,1185.09 919.037,1187.11 915.646,1189.1 912.24,1191.07 908.819,1193.02 \n",
" 905.384,1194.95 901.935,1196.85 898.471,1198.73 894.993,1200.58 891.502,1202.41 887.997,1204.21 884.479,1205.98 880.947,1207.72 877.403,1209.44 873.846,1211.12 \n",
" 870.276,1212.78 866.694,1214.4 863.1,1215.99 859.494,1217.55 855.876,1219.08 852.248,1220.57 848.608,1222.03 844.957,1223.45 841.296,1224.83 837.624,1226.18 \n",
" 833.943,1227.49 830.252,1228.76 826.551,1229.99 822.841,1231.19 819.123,1232.34 815.396,1233.45 811.66,1234.52 807.917,1235.54 804.166,1236.52 800.409,1237.46 \n",
" 796.644,1238.35 792.873,1239.2 789.095,1240 785.312,1240.76 781.523,1241.47 777.729,1242.13 773.93,1242.74 770.127,1243.3 766.32,1243.81 762.51,1244.27 \n",
" 758.696,1244.68 754.88,1245.04 751.061,1245.34 747.24,1245.59 743.418,1245.78 739.596,1245.92 735.772,1246 731.949,1246.04 728.126,1246.02 724.304,1245.94 \n",
" 720.483,1245.82 716.663,1245.64 712.845,1245.41 709.029,1245.14 705.216,1244.81 701.405,1244.43 697.598,1244.01 693.795,1243.53 689.995,1243.01 686.2,1242.44 \n",
" 682.409,1241.82 678.624,1241.15 674.844,1240.44 671.069,1239.69 667.3,1238.88 663.538,1238.04 659.782,1237.15 656.033,1236.21 652.292,1235.24 648.558,1234.22 \n",
" 644.831,1233.16 641.113,1232.06 637.403,1230.91 633.702,1229.73 630.01,1228.51 626.327,1227.25 622.653,1225.95 618.989,1224.61 615.335,1223.24 611.692,1221.83 \n",
" 608.059,1220.38 604.436,1218.9 600.825,1217.39 597.225,1215.84 593.636,1214.25 590.06,1212.64 586.495,1210.99 582.942,1209.31 579.401,1207.6 575.873,1205.87 \n",
" 572.358,1204.1 568.856,1202.3 565.367,1200.48 561.892,1198.63 558.43,1196.75 554.982,1194.85 551.547,1192.92 548.127,1190.97 544.721,1188.99 541.33,1187 \n",
" 537.953,1184.98 534.591,1182.94 531.244,1180.87 527.912,1178.79 524.595,1176.69 521.293,1174.58 518.008,1172.44 514.737,1170.29 511.483,1168.13 508.244,1165.95 \n",
" 505.021,1163.75 501.815,1161.54 498.624,1159.32 495.45,1157.09 492.293,1154.85 489.152,1152.6 486.027,1150.34 482.92,1148.07 479.829,1145.79 476.755,1143.51 \n",
" 473.698,1141.22 470.658,1138.93 467.635,1136.63 464.629,1134.33 461.64,1132.03 458.669,1129.73 455.715,1127.43 452.778,1125.13 449.859,1122.83 446.957,1120.54 \n",
" 444.073,1118.25 441.206,1115.96 438.357,1113.68 435.525,1111.41 432.711,1109.14 429.914,1106.88 427.135,1104.63 424.373,1102.4 421.629,1100.17 418.903,1097.96 \n",
" 416.194,1095.76 413.502,1093.57 410.827,1091.39 408.168,1089.23 405.526,1087.07 402.899,1084.93 400.289,1082.79 397.694,1080.67 395.116,1078.56 392.553,1076.47 \n",
" 390.006,1074.38 387.474,1072.31 384.958,1070.25 382.457,1068.21 379.971,1066.17 377.501,1064.16 375.045,1062.16 372.604,1060.17 370.178,1058.2 367.767,1056.24 \n",
" 365.37,1054.3 362.988,1052.37 360.62,1050.47 358.266,1048.57 355.926,1046.7 353.6,1044.84 351.288,1043 348.99,1041.17 346.705,1039.37 344.434,1037.58 \n",
" 342.176,1035.81 339.931,1034.06 337.699,1032.33 335.48,1030.61 333.274,1028.92 331.08,1027.24 328.899,1025.58 326.73,1023.94 324.574,1022.33 322.429,1020.73 \n",
" 320.297,1019.15 318.176,1017.59 316.067,1016.05 313.969,1014.54 311.883,1013.04 309.807,1011.56 307.743,1010.11 305.69,1008.67 303.647,1007.26 301.616,1005.87 \n",
" 299.594,1004.5 297.583,1003.15 295.582,1001.82 293.59,1000.51 291.609,999.227 289.637,997.963 287.674,996.721 285.721,995.501 283.777,994.302 281.842,993.126 \n",
" 279.916,991.971 277.998,990.838 276.089,989.727 274.188,988.638 272.295,987.572 270.41,986.527 268.533,985.504 266.663,984.503 264.8,983.524 262.945,982.567 \n",
" 261.097,981.632 259.256,980.719 257.421,979.828 255.593,978.959 253.771,978.113 251.956,977.289 250.147,976.489 248.344,975.712 246.548,974.957 244.757,974.226 \n",
" 242.971,973.517 241.191,972.831 239.417,972.168 237.647,971.528 235.882,970.91 234.122,970.315 232.367,969.742 230.615,969.192 228.868,968.664 227.125,968.159 \n",
" 225.385,967.677 223.649,967.217 221.917,966.779 220.188,966.363 218.461,965.97 216.738,965.599 215.017,965.251 213.299,964.925 211.584,964.621 209.87,964.339 \n",
" 208.158,964.079 206.448,963.841 204.74,963.626 203.033,963.432 201.328,963.261 199.624,963.112 197.92,962.985 196.217,962.879 194.515,962.796 192.814,962.735 \n",
" 191.112,962.696 189.411,962.679 187.71,962.683 186.008,962.71 184.306,962.759 182.603,962.829 180.9,962.921 179.195,963.036 177.49,963.172 175.783,963.33 \n",
" 174.075,963.51 172.365,963.712 170.653,963.935 168.94,964.181 167.224,964.448 165.506,964.737 163.786,965.049 162.063,965.382 160.337,965.736 158.609,966.113 \n",
" 156.877,966.512 155.142,966.932 153.404,967.375 151.662,967.839 149.917,968.325 148.167,968.833 146.414,969.363 144.656,969.915 142.894,970.489 141.128,971.085 \n",
" 139.357,971.702 137.581,972.342 135.8,973.004 134.014,973.688 132.222,974.393 130.426,975.121 128.623,975.871 126.815,976.643 125.001,977.437 123.181,978.253 \n",
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" 2310.77,927.582 2309.33,928.137 2307.88,928.71 2306.43,929.302 2304.97,929.912 2303.51,930.54 2302.05,931.187 2300.58,931.852 2299.1,932.535 2297.62,933.237 \n",
" 2296.14,933.958 2294.65,934.697 2293.15,935.454 2291.65,936.23 2290.14,937.025 2288.63,937.838 2287.11,938.67 2285.58,939.52 2284.05,940.388 2282.51,941.276 \n",
" 2280.96,942.182 2279.41,943.106 2277.85,944.049 2276.28,945.011 2274.71,945.991 2273.13,946.99 2271.54,948.008 2269.94,949.044 2268.33,950.099 2266.72,951.173 \n",
" 2265.1,952.265 2263.47,953.376 2261.83,954.505 2260.19,955.653 2258.53,956.82 2256.87,958.005 2255.2,959.209 2253.51,960.432 2251.82,961.673 2250.12,962.932 \n",
" 2248.41,964.21 2246.69,965.507 2244.96,966.822 2243.22,968.155 2241.47,969.507 2239.72,970.877 2237.95,972.266 2236.17,973.672 2234.37,975.097 2232.57,976.541 \n",
" 2230.76,978.002 2228.94,979.482 2227.1,980.979 2225.26,982.495 2223.4,984.028 2221.53,985.58 2219.65,987.149 2217.76,988.736 2215.85,990.34 2213.94,991.963 \n",
" 2212.01,993.602 2210.07,995.259 2208.11,996.933 2206.15,998.625 2204.17,1000.33 2202.18,1002.06 2200.17,1003.8 2198.16,1005.56 2196.13,1007.34 2194.08,1009.13 \n",
" 2192.02,1010.94 2189.95,1012.76 2187.87,1014.6 2185.77,1016.46 2183.65,1018.33 2181.53,1020.22 2179.39,1022.12 2177.23,1024.04 2175.06,1025.97 2172.88,1027.92 \n",
" 2170.68,1029.88 2168.46,1031.86 2166.23,1033.85 2163.99,1035.85 2161.73,1037.87 2159.46,1039.9 2157.17,1041.94 2154.86,1044 2152.54,1046.07 2150.21,1048.15 \n",
" 2147.86,1050.24 2145.49,1052.34 2143.11,1054.46 2140.71,1056.58 2138.29,1058.72 2135.86,1060.87 2133.42,1063.02 2130.95,1065.19 2128.48,1067.36 2125.98,1069.55 \n",
" 2123.47,1071.74 2120.94,1073.94 2118.4,1076.15 2115.83,1078.36 2113.26,1080.58 2110.66,1082.81 2108.05,1085.04 2105.42,1087.28 2102.78,1089.52 2100.12,1091.77 \n",
" 2097.44,1094.02 2094.74,1096.27 2092.03,1098.53 2089.3,1100.79 2086.56,1103.05 2083.79,1105.31 2081.01,1107.57 2078.22,1109.83 2075.4,1112.09 2072.57,1114.34 \n",
" 2069.72,1116.6 2066.86,1118.85 2063.98,1121.1 2061.08,1123.34 2058.17,1125.58 2055.23,1127.82 2052.29,1130.05 2049.32,1132.27 2046.34,1134.49 2043.34,1136.69 \n",
" 2040.32,1138.89 2037.29,1141.08 2034.25,1143.26 2031.18,1145.42 2028.1,1147.58 2025.01,1149.72 2021.89,1151.85 2018.77,1153.97 2015.62,1156.07 2012.46,1158.16 \n",
" 2009.29,1160.23 2006.1,1162.28 2002.89,1164.31 1999.67,1166.33 1996.44,1168.33 1993.19,1170.3 1989.92,1172.26 1986.64,1174.19 1983.35,1176.1 1980.04,1177.99 \n",
" 1976.71,1179.85 1973.38,1181.69 1970.03,1183.51 1966.66,1185.29 1963.28,1187.06 1959.89,1188.79 1956.49,1190.5 1953.07,1192.17 1949.65,1193.82 1946.2,1195.43 \n",
" 1942.75,1197.01 1939.29,1198.56 1935.81,1200.07 1932.33,1201.55 1928.83,1203 1925.32,1204.4 1921.8,1205.78 1918.27,1207.11 1914.74,1208.4 1911.19,1209.66 \n",
" 1907.63,1210.87 1904.07,1212.05 1900.49,1213.18 1896.91,1214.28 1893.32,1215.33 1889.72,1216.34 1886.12,1217.3 1882.51,1218.22 1878.89,1219.1 1875.26,1219.94 \n",
" 1871.63,1220.73 1867.99,1221.47 1864.35,1222.17 1860.7,1222.82 1857.05,1223.43 1853.39,1223.99 1849.73,1224.51 1846.07,1224.98 1842.4,1225.4 1838.73,1225.77 \n",
" 1835.05,1226.09 1831.38,1226.37 1827.7,1226.6 1824.02,1226.79 1820.33,1226.92 1816.65,1227.01 1812.97,1227.05 1809.28,1227.04 1805.6,1226.98 1801.91,1226.87 \n",
" 1798.23,1226.72 1794.55,1226.52 1790.87,1226.27 1787.19,1225.97 1783.52,1225.63 1779.84,1225.24 1776.17,1224.8 1772.51,1224.31 1768.85,1223.78 1765.19,1223.2 \n",
" 1761.54,1222.57 1757.89,1221.9 1754.25,1221.18 1750.61,1220.42 1746.98,1219.61 1743.36,1218.76 1739.74,1217.86 1736.13,1216.92 1732.52,1215.93 1728.93,1214.9 \n",
" 1725.34,1213.83 1721.76,1212.72 1718.19,1211.57 1714.63,1210.38 1711.08,1209.15 1707.53,1207.88 1704,1206.58 1700.48,1205.24 1696.96,1203.86 1693.46,1202.44 \n",
" 1689.97,1200.99 1686.48,1199.51 1683.01,1197.99 1679.55,1196.44 1676.11,1194.86 1672.67,1193.24 1669.25,1191.59 1665.84,1189.92 1662.44,1188.21 1659.05,1186.48 \n",
" 1655.68,1184.72 1652.32,1182.93 1648.98,1181.11 1645.64,1179.27 1642.33,1177.41 1639.02,1175.52 1635.73,1173.6 1632.46,1171.66 1629.19,1169.71 1625.95,1167.73 \n",
" 1622.72,1165.73 1619.5,1163.71 1616.3,1161.67 1613.11,1159.61 1609.94,1157.53 1606.78,1155.44 1603.64,1153.34 1600.52,1151.21 1597.41,1149.08 1594.32,1146.93 \n",
" 1591.24,1144.76 1588.18,1142.59 1585.14,1140.4 1582.11,1138.21 1579.1,1136 1576.11,1133.79 1573.13,1131.57 1570.17,1129.34 1567.23,1127.11 1564.3,1124.87 \n",
" 1561.39,1122.63 1558.5,1120.38 1555.62,1118.13 1552.76,1115.87 1549.92,1113.62 1547.1,1111.36 1544.29,1109.1 1541.5,1106.84 1538.73,1104.58 1535.97,1102.32 \n",
" 1533.23,1100.07 1530.5,1097.81 1527.8,1095.56 1525.11,1093.3 1522.44,1091.06 1519.78,1088.81 1517.14,1086.57 1514.52,1084.34 1511.91,1082.11 1509.32,1079.88 \n",
" 1506.75,1077.66 1504.19,1075.45 1501.65,1073.25 1499.13,1071.05 1496.62,1068.86 1494.13,1066.68 1491.66,1064.5 1489.2,1062.34 1486.76,1060.19 1484.33,1058.04 \n",
" 1481.92,1055.91 1479.53,1053.79 1477.15,1051.67 1474.79,1049.57 1472.44,1047.48 1470.11,1045.4 1467.8,1043.34 1465.5,1041.29 1463.21,1039.25 1460.94,1037.22 \n",
" 1458.69,1035.21 1456.45,1033.21 1454.23,1031.22 1452.02,1029.25 1449.82,1027.29 1447.64,1025.35 1445.48,1023.42 1443.33,1021.51 1441.19,1019.61 1439.07,1017.73 \n",
" 1436.96,1015.86 1434.86,1014.01 1432.78,1012.17 1430.72,1010.35 1428.66,1008.55 1426.62,1006.76 1424.6,1004.99 1422.58,1003.24 1420.58,1001.5 1418.6,999.784 \n",
" 1416.62,998.081 1414.66,996.395 1412.71,994.727 1410.77,993.076 1408.85,991.443 1406.94,989.827 1405.04,988.23 1403.15,986.65 1401.27,985.088 1399.4,983.544 \n",
" 1397.55,982.018 1395.71,980.511 1393.88,979.021 1392.06,977.549 1390.25,976.095 1388.45,974.659 1386.66,973.242 1384.88,971.843 1383.11,970.462 1381.36,969.099 \n",
" 1379.61,967.754 1377.87,966.428 1376.15,965.12 1374.43,963.83 1372.72,962.558 1371.03,961.305 1369.34,960.071 1367.66,958.854 1365.99,957.656 1364.32,956.477 \n",
" 1362.67,955.316 1361.03,954.173 1359.39,953.049 1357.76,951.944 1356.15,950.857 1354.54,949.788 1352.93,948.738 1351.34,947.706 1349.75,946.694 1348.17,945.699 \n",
" 1346.6,944.723 1345.03,943.766 1343.47,942.827 1341.92,941.907 1340.38,941.005 1338.84,940.122 1337.31,939.258 1335.79,938.412 1334.27,937.584 1332.76,936.776 \n",
" 1331.25,935.985 1329.75,935.214 1328.25,934.461 1326.77,933.726 1325.28,933.01 1323.8,932.313 1322.33,931.634 1320.86,930.973 1319.4,930.332 1317.94,929.708 \n",
" 1316.49,929.103 1315.04,928.517 1313.6,927.949 1312.16,927.4 1310.72,926.869 1309.29,926.356 1307.86,925.862 1306.43,925.386 1305.01,924.929 1303.59,924.49 \n",
" 1302.18,924.069 1300.77,923.666 1299.36,923.282 1297.95,922.916 1296.55,922.569 1295.15,922.239 1293.75,921.928 1292.35,921.635 1290.96,921.36 1289.56,921.103 \n",
" 1288.17,920.864 1286.78,920.644 1285.4,920.442 1284.01,920.257 1282.62,920.092 1281.24,919.944 1279.86,919.814 1278.48,919.703 1277.1,919.61 1275.72,919.535 \n",
" 1274.34,919.478 1272.96,919.439 1271.58,919.419 1270.2,919.417 1268.82,919.433 1267.44,919.467 1266.06,919.519 1264.68,919.589 1263.3,919.677 1261.92,919.784 \n",
" 1260.54,919.909 1259.16,920.051 1257.77,920.212 1256.39,920.391 1255,920.589 1253.61,920.804 1252.22,921.038 1250.83,921.289 1249.44,921.559 1248.04,921.847 \n",
" 1246.64,922.153 1245.24,922.477 1243.84,922.82 1242.44,923.18 1241.03,923.559 1239.62,923.956 1238.2,924.371 1236.78,924.805 1235.36,925.256 1233.94,925.726 \n",
" 1232.51,926.214 1231.08,926.72 1229.64,927.244 1228.2,927.787 1226.76,928.348 1225.31,928.927 1223.86,929.524 1222.4,930.14 1220.94,930.774 1219.47,931.426 \n",
" 1218,932.097 1216.52,932.786 1215.04,933.493 1213.55,934.219 1212.06,934.963 1210.56,935.726 1209.05,936.506 1207.54,937.306 1206.03,938.124 1204.5,938.96 \n",
" 1202.97,939.814 1201.44,940.688 1199.9,941.579 1198.35,942.49 1196.79,943.418 1195.23,944.366 1193.66,945.332 1192.08,946.316 1190.5,947.319 1188.9,948.341 \n",
" 1187.3,949.382 1185.7,950.441 1184.08,951.519 1182.46,952.616 1180.82,953.731 1179.18,954.866 1177.53,956.019 1175.88,957.191 1174.21,958.382 1172.53,959.592 \n",
" 1170.85,960.82 1169.16,962.066 1167.45,963.33 1165.74,964.613 1164.02,965.914 1162.29,967.234 1160.55,968.572 1158.8,969.928 1157.04,971.303 1155.27,972.696 \n",
" 1153.48,974.108 1151.69,975.538 1149.89,976.986 1148.08,978.453 1146.25,979.938 1144.41,981.441 1142.57,982.963 1140.71,984.502 1138.84,986.06 1136.95,987.636 \n",
" 1135.06,989.23 1133.15,990.841 1131.23,992.471 1129.3,994.118 1127.36,995.782 1125.4,997.464 1123.43,999.164 1121.45,1000.88 1119.45,1002.61 1117.44,1004.37 \n",
" 1115.42,1006.13 1113.39,1007.92 1111.34,1009.72 1109.27,1011.53 1107.2,1013.37 1105.11,1015.22 1103,1017.08 1100.88,1018.96 1098.75,1020.86 1096.6,1022.77 \n",
" 1094.44,1024.69 1092.27,1026.63 1090.08,1028.59 1087.87,1030.56 1085.65,1032.54 1083.42,1034.54 1081.16,1036.55 1078.9,1038.57 1076.62,1040.61 1074.32,1042.66 \n",
" 1072.01,1044.72 1069.68,1046.79 1067.34,1048.88 1064.98,1050.97 1062.61,1053.08 1060.22,1055.2 1057.82,1057.33 1055.4,1059.47 1052.96,1061.62 1050.5,1063.78 \n",
" 1048.04,1065.95 1045.55,1068.12 1043.05,1070.31 1040.53,1072.5 1038,1074.7 1035.44,1076.91 1032.88,1079.12 1030.29,1081.34 1027.69,1083.57 1025.08,1085.8 \n",
" 1022.44,1088.04 1019.79,1090.28 1017.12,1092.53 1014.44,1094.78 1011.74,1097.03 1009.02,1099.29 1006.29,1101.55 1003.53,1103.81 1000.77,1106.07 997.98,1108.34 \n",
" 995.178,1110.61 992.358,1112.87 989.521,1115.14 986.667,1117.4 983.797,1119.66 980.909,1121.91 978.005,1124.16 975.084,1126.41 972.146,1128.65 969.191,1130.88 \n",
" 966.22,1133.11 963.232,1135.33 960.227,1137.54 957.206,1139.74 954.169,1141.92 951.115,1144.1 948.045,1146.26 944.959,1148.42 941.857,1150.55 938.739,1152.68 \n",
" 935.605,1154.79 932.455,1156.88 929.29,1158.95 926.109,1161.01 922.914,1163.05 919.702,1165.07 916.476,1167.08 913.235,1169.06 909.979,1171.02 906.709,1172.96 \n",
" 903.424,1174.87 900.125,1176.76 896.812,1178.63 893.485,1180.48 890.144,1182.3 886.789,1184.09 883.422,1185.85 880.041,1187.59 876.647,1189.3 873.24,1190.98 \n",
" 869.821,1192.64 866.39,1194.26 862.947,1195.85 859.491,1197.41 856.025,1198.93 852.547,1200.43 849.057,1201.89 845.557,1203.31 842.047,1204.7 838.526,1206.06 \n",
" 834.995,1207.38 831.454,1208.66 827.904,1209.9 824.344,1211.11 820.776,1212.27 817.199,1213.4 813.614,1214.49 810.02,1215.53 806.419,1216.54 802.811,1217.5 \n",
" 799.196,1218.42 795.574,1219.29 791.945,1220.12 788.311,1220.91 784.67,1221.65 781.025,1222.34 777.374,1222.99 773.719,1223.59 770.059,1224.15 766.396,1224.65 \n",
" 762.729,1225.11 759.059,1225.51 755.386,1225.85 751.71,1226.14 748.032,1226.38 744.353,1226.57 740.673,1226.7 736.992,1226.78 733.31,1226.81 729.629,1226.79 \n",
" 725.948,1226.71 722.268,1226.59 718.589,1226.41 714.911,1226.19 711.236,1225.92 707.563,1225.6 703.893,1225.23 700.226,1224.81 696.562,1224.34 692.902,1223.83 \n",
" 689.246,1223.27 685.595,1222.67 681.949,1222.02 678.308,1221.33 674.672,1220.59 671.042,1219.81 667.419,1218.98 663.802,1218.12 660.191,1217.2 656.588,1216.25 \n",
" 652.993,1215.26 649.405,1214.22 645.825,1213.15 642.253,1212.04 638.69,1210.88 635.136,1209.69 631.591,1208.46 628.056,1207.19 624.53,1205.89 621.014,1204.55 \n",
" 617.509,1203.17 614.014,1201.76 610.53,1200.31 607.056,1198.83 603.594,1197.32 600.144,1195.77 596.705,1194.19 593.278,1192.58 589.863,1190.94 586.461,1189.27 \n",
" 583.071,1187.56 579.694,1185.83 576.33,1184.07 572.98,1182.28 569.642,1180.47 566.319,1178.62 563.009,1176.76 559.713,1174.86 556.431,1172.94 553.163,1171 \n",
" 549.91,1169.03 546.672,1167.04 543.448,1165.03 540.24,1162.99 537.046,1160.94 533.868,1158.86 530.705,1156.77 527.558,1154.65 524.426,1152.52 521.31,1150.37 \n",
" 518.21,1148.2 515.126,1146.02 512.058,1143.82 509.007,1141.61 505.972,1139.38 502.953,1137.14 499.951,1134.89 496.965,1132.62 493.996,1130.34 491.044,1128.06 \n",
" 488.109,1125.76 485.191,1123.45 482.29,1121.14 479.406,1118.82 476.539,1116.49 473.69,1114.16 470.857,1111.82 468.042,1109.48 465.244,1107.13 462.464,1104.78 \n",
" 459.701,1102.43 456.955,1100.07 454.227,1097.72 451.516,1095.37 448.823,1093.01 446.147,1090.66 443.489,1088.32 440.848,1085.97 438.225,1083.63 435.619,1081.3 \n",
" 433.03,1078.97 430.459,1076.64 427.906,1074.33 425.37,1072.02 422.851,1069.73 420.349,1067.44 417.865,1065.16 415.398,1062.9 412.948,1060.65 410.515,1058.41 \n",
" 408.099,1056.19 405.701,1053.98 403.319,1051.79 400.954,1049.61 398.606,1047.45 396.274,1045.32 393.959,1043.2 391.66,1041.1 389.378,1039.02 387.111,1036.94 \n",
" 384.859,1034.89 382.623,1032.84 380.402,1030.81 378.196,1028.79 376.005,1026.78 373.83,1024.79 371.669,1022.81 369.523,1020.84 367.391,1018.89 365.274,1016.96 \n",
" 363.172,1015.03 361.083,1013.12 359.009,1011.23 356.949,1009.35 354.903,1007.49 352.871,1005.64 350.853,1003.8 348.848,1001.98 346.857,1000.18 344.879,998.39 \n",
" 342.915,996.617 340.964,994.86 339.026,993.119 337.1,991.394 335.188,989.685 333.288,987.992 331.401,986.316 329.526,984.656 327.664,983.012 325.814,981.385 \n",
" 323.976,979.775 322.15,978.182 320.336,976.605 318.534,975.045 316.743,973.503 314.964,971.977 313.197,970.469 311.44,968.978 309.695,967.504 307.96,966.047 \n",
" 306.237,964.608 304.524,963.187 302.822,961.782 301.131,960.396 299.449,959.027 297.778,957.676 296.118,956.342 294.467,955.026 292.826,953.728 291.194,952.448 \n",
" 289.573,951.185 287.96,949.94 286.357,948.713 284.764,947.504 283.179,946.313 281.603,945.14 280.036,943.984 278.478,942.847 276.928,941.727 275.387,940.625 \n",
" 273.853,939.541 272.328,938.475 270.811,937.427 269.302,936.396 267.8,935.384 266.306,934.389 264.819,933.411 263.339,932.452 261.867,931.51 260.401,930.586 \n",
" 258.943,929.679 257.491,928.79 256.045,927.919 254.606,927.065 253.174,926.228 251.747,925.409 250.326,924.606 248.911,923.822 247.502,923.054 246.098,922.304 \n",
" 244.701,921.573 243.308,920.859 241.921,920.164 240.54,919.486 239.163,918.825 237.792,918.183 236.425,917.558 235.063,916.951 233.706,916.361 232.353,915.789 \n",
" 231.004,915.234 229.66,914.696 228.319,914.176 226.983,913.673 225.65,913.188 224.321,912.719 222.995,912.268 221.673,911.834 220.354,911.417 219.038,911.016 \n",
" 217.725,910.633 216.415,910.267 215.107,909.918 213.803,909.585 212.5,909.27 211.2,908.971 209.902,908.689 208.606,908.424 207.312,908.176 206.02,907.944 \n",
" 204.73,907.729 203.441,907.53 202.153,907.349 200.867,907.184 199.582,907.035 198.298,906.903 197.014,906.788 195.732,906.689 194.45,906.607 193.169,906.541 \n",
" 191.887,906.492 190.607,906.459 189.326,906.443 188.045,906.443 186.764,906.46 185.483,906.493 184.202,906.542 182.92,906.609 181.637,906.691 180.353,906.79 \n",
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" 2004.48,1145.65 2001.4,1147.68 1998.3,1149.69 1995.19,1151.68 1992.06,1153.65 1988.92,1155.6 1985.77,1157.53 1982.6,1159.44 1979.41,1161.32 1976.22,1163.18 \n",
" 1973.01,1165.01 1969.78,1166.82 1966.54,1168.6 1963.29,1170.36 1960.03,1172.08 1956.75,1173.78 1953.46,1175.45 1950.16,1177.09 1946.84,1178.7 1943.51,1180.28 \n",
" 1940.18,1181.82 1936.83,1183.34 1933.47,1184.82 1930.09,1186.27 1926.71,1187.68 1923.32,1189.06 1919.92,1190.4 1916.5,1191.71 1913.08,1192.98 1909.65,1194.21 \n",
" 1906.21,1195.4 1902.76,1196.56 1899.3,1197.68 1895.83,1198.76 1892.35,1199.79 1888.87,1200.79 1885.38,1201.75 1881.88,1202.67 1878.38,1203.54 1874.87,1204.37 \n",
" 1871.35,1205.16 1867.83,1205.91 1864.3,1206.61 1860.77,1207.27 1857.23,1207.89 1853.69,1208.46 1850.14,1208.98 1846.59,1209.46 1843.04,1209.9 1839.48,1210.29 \n",
" 1835.92,1210.63 1832.36,1210.92 1828.8,1211.17 1825.23,1211.37 1821.67,1211.52 1818.1,1211.62 1814.53,1211.67 1810.97,1211.68 1807.4,1211.64 1803.83,1211.55 \n",
" 1800.27,1211.42 1796.7,1211.24 1793.14,1211.01 1789.58,1210.74 1786.02,1210.42 1782.47,1210.05 1778.91,1209.64 1775.37,1209.18 1771.82,1208.68 1768.28,1208.14 \n",
" 1764.74,1207.55 1761.21,1206.91 1757.68,1206.24 1754.16,1205.52 1750.65,1204.75 1747.14,1203.95 1743.63,1203.1 1740.14,1202.21 1736.64,1201.28 1733.16,1200.31 \n",
" 1729.69,1199.3 1726.22,1198.25 1722.76,1197.16 1719.3,1196.03 1715.86,1194.86 1712.43,1193.65 1709,1192.41 1705.58,1191.13 1702.18,1189.81 1698.78,1188.46 \n",
" 1695.39,1187.07 1692.01,1185.65 1688.65,1184.19 1685.29,1182.7 1681.95,1181.18 1678.61,1179.62 1675.29,1178.03 1671.98,1176.41 1668.68,1174.77 1665.4,1173.09 \n",
" 1662.12,1171.38 1658.86,1169.64 1655.62,1167.88 1652.38,1166.08 1649.16,1164.26 1645.95,1162.42 1642.76,1160.55 1639.57,1158.66 1636.41,1156.74 1633.26,1154.8 \n",
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" 1570.63,1110.27 1567.83,1108.04 1565.05,1105.8 1562.28,1103.56 1559.54,1101.32 1556.8,1099.07 1554.09,1096.82 1551.39,1094.56 1548.71,1092.3 1546.04,1090.05 \n",
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" 1517.84,1065.25 1515.37,1063.01 1512.93,1060.78 1510.5,1058.55 1508.08,1056.33 1505.69,1054.11 1503.31,1051.9 1500.94,1049.7 1498.6,1047.5 1496.27,1045.32 \n",
" 1493.95,1043.14 1491.65,1040.96 1489.37,1038.8 1487.11,1036.64 1484.86,1034.5 1482.62,1032.36 1480.41,1030.24 1478.2,1028.12 1476.02,1026.01 1473.85,1023.92 \n",
" 1471.7,1021.83 1469.56,1019.76 1467.43,1017.7 1465.33,1015.65 1463.23,1013.61 1461.16,1011.58 1459.1,1009.57 1457.05,1007.56 1455.02,1005.57 1453,1003.6 \n",
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" 1397.26,949.38 1395.66,947.872 1394.08,946.379 1392.5,944.902 1390.93,943.44 1389.38,941.994 1387.84,940.563 1386.3,939.148 1384.78,937.748 1383.27,936.364 \n",
" 1381.77,934.996 1380.28,933.643 1378.79,932.305 1377.32,930.983 1375.86,929.677 1374.41,928.386 1372.97,927.11 1371.54,925.851 1370.11,924.606 1368.7,923.378 \n",
" 1367.29,922.165 1365.9,920.967 1364.51,919.785 1363.14,918.619 1361.77,917.467 1360.41,916.332 1359.05,915.212 1357.71,914.107 1356.38,913.018 1355.05,911.944 \n",
" 1353.73,910.886 1352.42,909.843 1351.12,908.816 1349.82,907.803 1348.53,906.806 1347.25,905.825 1345.98,904.858 1344.71,903.907 1343.45,902.971 1342.2,902.051 \n",
" 1340.96,901.145 1339.72,900.254 1338.49,899.379 1337.26,898.518 1336.04,897.673 1334.83,896.842 1333.63,896.027 1332.43,895.226 1331.23,894.44 1330.04,893.669 \n",
" 1328.86,892.912 1327.68,892.171 1326.51,891.443 1325.35,890.731 1324.18,890.033 1323.03,889.349 1321.88,888.68 1320.73,888.025 1319.59,887.384 1318.45,886.758 \n",
" 1317.32,886.145 1316.19,885.547 1315.07,884.964 1313.95,884.394 1312.84,883.839 1311.73,883.298 1310.62,882.771 1309.52,882.258 1308.42,881.759 1307.32,881.275 \n",
" 1306.23,880.804 1305.14,880.347 1304.06,879.905 1302.97,879.476 1301.9,879.061 1300.82,878.66 1299.75,878.273 1298.68,877.9 1297.61,877.541 1296.55,877.196 \n",
" 1295.48,876.864 1294.42,876.546 1293.37,876.242 1292.31,875.951 1291.26,875.674 1290.21,875.411 1289.16,875.162 1288.11,874.926 1287.07,874.704 1286.02,874.496 \n",
" 1284.98,874.301 1283.94,874.12 1282.9,873.952 1281.86,873.798 1280.83,873.657 1279.79,873.53 1278.76,873.417 1277.72,873.317 1276.69,873.231 1275.66,873.158 \n",
" 1274.62,873.099 1273.59,873.054 1272.56,873.022 1271.53,873.003 1270.5,872.998 1269.47,873.007 1268.43,873.029 1267.4,873.064 1266.37,873.113 1265.34,873.176 \n",
" 1264.31,873.252 1263.27,873.342 1262.24,873.445 1261.2,873.562 1260.17,873.693 1259.13,873.837 1258.09,873.994 1257.05,874.165 1256.01,874.35 1254.97,874.549 \n",
" 1253.92,874.761 1252.88,874.986 1251.83,875.226 1250.78,875.479 1249.73,875.746 1248.68,876.026 1247.62,876.32 1246.57,876.628 1245.51,876.95 1244.44,877.285 \n",
" 1243.38,877.635 1242.31,877.998 1241.24,878.375 1240.17,878.766 1239.09,879.17 1238.01,879.589 1236.93,880.022 1235.84,880.468 1234.75,880.929 1233.66,881.403 \n",
" 1232.57,881.892 1231.47,882.394 1230.37,882.911 1229.26,883.442 1228.15,883.987 1227.04,884.546 1225.92,885.119 1224.8,885.707 1223.67,886.309 1222.54,886.926 \n",
" 1221.4,887.557 1220.26,888.203 1219.12,888.863 1217.97,889.538 1216.82,890.227 1215.66,890.931 1214.49,891.65 1213.32,892.384 1212.14,893.132 1210.96,893.896 \n",
" 1209.77,894.674 1208.58,895.467 1207.38,896.275 1206.18,897.098 1204.96,897.935 1203.74,898.788 1202.52,899.656 1201.29,900.539 1200.05,901.438 1198.8,902.351 \n",
" 1197.55,903.279 1196.29,904.223 1195.03,905.182 1193.75,906.155 1192.47,907.145 1191.18,908.149 1189.88,909.169 1188.58,910.204 1187.27,911.254 1185.94,912.32 \n",
" 1184.62,913.401 1183.28,914.497 1181.93,915.608 1180.58,916.735 1179.21,917.878 1177.84,919.035 1176.46,920.208 1175.07,921.397 1173.67,922.601 1172.26,923.82 \n",
" 1170.85,925.054 1169.42,926.304 1167.98,927.57 1166.54,928.85 1165.08,930.146 1163.61,931.458 1162.14,932.785 1160.65,934.127 1159.16,935.485 1157.65,936.858 \n",
" 1156.13,938.246 1154.6,939.65 1153.07,941.069 1151.52,942.503 1149.96,943.953 1148.39,945.418 1146.8,946.898 1145.21,948.394 1143.61,949.904 1141.99,951.43 \n",
" 1140.36,952.972 1138.72,954.528 1137.07,956.1 1135.41,957.686 1133.73,959.288 1132.05,960.905 1130.35,962.537 1128.64,964.184 1126.91,965.846 1125.18,967.523 \n",
" 1123.43,969.215 1121.67,970.922 1119.89,972.644 1118.11,974.381 1116.31,976.132 1114.49,977.899 1112.67,979.68 1110.83,981.476 1108.98,983.286 1107.11,985.112 \n",
" 1105.23,986.951 1103.34,988.806 1101.43,990.675 1099.51,992.558 1097.57,994.456 1095.62,996.368 1093.66,998.295 1091.68,1000.24 1089.69,1002.19 1087.69,1004.16 \n",
" 1085.67,1006.14 1083.63,1008.13 1081.58,1010.14 1079.51,1012.16 1077.43,1014.18 1075.34,1016.23 1073.23,1018.28 1071.1,1020.34 1068.96,1022.42 1066.8,1024.51 \n",
" 1064.63,1026.61 1062.44,1028.71 1060.24,1030.83 1058.02,1032.96 1055.78,1035.1 1053.53,1037.25 1051.26,1039.4 1048.97,1041.57 1046.67,1043.74 1044.35,1045.93 \n",
" 1042.02,1048.12 1039.67,1050.31 1037.3,1052.52 1034.92,1054.73 1032.52,1056.95 1030.1,1059.17 1027.66,1061.4 1025.21,1063.63 1022.74,1065.87 1020.26,1068.11 \n",
" 1017.76,1070.36 1015.24,1072.61 1012.7,1074.86 1010.15,1077.12 1007.58,1079.38 1004.99,1081.64 1002.39,1083.9 999.767,1086.16 997.13,1088.42 994.475,1090.68 \n",
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" 964.166,1115.34 961.31,1117.55 958.439,1119.75 955.551,1121.95 952.646,1124.13 949.726,1126.3 946.789,1128.46 943.836,1130.61 940.867,1132.75 937.883,1134.87 \n",
" 934.882,1136.98 931.866,1139.08 928.835,1141.16 925.788,1143.22 922.725,1145.27 919.647,1147.3 916.554,1149.31 913.446,1151.3 910.323,1153.27 907.186,1155.22 \n",
" 904.033,1157.15 900.867,1159.06 897.685,1160.94 894.489,1162.81 891.279,1164.65 888.056,1166.48 884.818,1168.27 881.568,1170.04 878.304,1171.79 875.027,1173.51 \n",
" 871.738,1175.2 868.436,1176.86 865.122,1178.49 861.797,1180.09 858.46,1181.66 855.111,1183.2 851.752,1184.7 848.382,1186.18 845.001,1187.61 841.61,1189.01 \n",
" 838.209,1190.38 834.798,1191.7 831.378,1192.99 827.949,1194.25 824.511,1195.46 821.064,1196.63 817.609,1197.77 814.146,1198.86 810.676,1199.92 807.197,1200.93 \n",
" 803.712,1201.9 800.22,1202.83 796.721,1203.71 793.216,1204.55 789.705,1205.35 786.188,1206.1 782.666,1206.81 779.139,1207.48 775.607,1208.1 772.07,1208.67 \n",
" 768.529,1209.2 764.985,1209.68 761.437,1210.12 757.885,1210.51 754.331,1210.86 750.773,1211.16 747.214,1211.41 743.653,1211.61 740.089,1211.77 736.525,1211.88 \n",
" 732.959,1211.94 729.393,1211.96 725.826,1211.93 722.26,1211.85 718.693,1211.73 715.127,1211.56 711.562,1211.34 707.998,1211.08 704.436,1210.77 700.876,1210.41 \n",
" 697.318,1210.01 693.762,1209.56 690.21,1209.07 686.66,1208.53 683.115,1207.94 679.573,1207.31 676.035,1206.64 672.503,1205.92 668.975,1205.15 665.453,1204.35 \n",
" 661.936,1203.5 658.425,1202.61 654.921,1201.67 651.424,1200.7 647.934,1199.68 644.451,1198.62 640.976,1197.52 637.51,1196.38 634.052,1195.21 630.603,1193.99 \n",
" 627.163,1192.74 623.734,1191.45 620.314,1190.12 616.905,1188.76 613.506,1187.36 610.119,1185.93 606.744,1184.46 603.38,1182.96 600.029,1181.43 596.691,1179.87 \n",
" 593.365,1178.27 590.054,1176.65 586.754,1175 583.468,1173.31 580.195,1171.6 576.934,1169.86 573.688,1168.09 570.454,1166.3 567.234,1164.48 564.028,1162.63 \n",
" 560.836,1160.77 557.659,1158.87 554.495,1156.96 551.346,1155.02 548.211,1153.06 545.091,1151.09 541.986,1149.09 538.896,1147.08 535.821,1145.04 532.761,1142.99 \n",
" 529.716,1140.93 526.687,1138.84 523.673,1136.75 520.675,1134.64 517.693,1132.51 514.727,1130.37 511.776,1128.22 508.841,1126.06 505.923,1123.89 503.021,1121.71 \n",
" 500.134,1119.52 497.265,1117.32 494.411,1115.11 491.574,1112.9 488.754,1110.67 485.95,1108.44 483.163,1106.21 480.392,1103.97 477.638,1101.73 474.901,1099.48 \n",
" 472.18,1097.23 469.477,1094.97 466.79,1092.72 464.12,1090.46 461.467,1088.2 458.831,1085.94 456.212,1083.68 453.61,1081.42 451.024,1079.16 448.456,1076.9 \n",
" 445.904,1074.65 443.37,1072.39 440.852,1070.14 438.351,1067.9 435.868,1065.65 433.4,1063.41 430.95,1061.18 428.517,1058.95 426.1,1056.73 423.7,1054.51 \n",
" 421.317,1052.3 418.95,1050.09 416.6,1047.9 414.266,1045.71 411.949,1043.52 409.648,1041.35 407.364,1039.18 405.095,1037.03 402.843,1034.88 400.607,1032.74 \n",
" 398.387,1030.61 396.183,1028.5 393.995,1026.39 391.823,1024.29 389.666,1022.21 387.525,1020.13 385.399,1018.07 383.289,1016.02 381.194,1013.99 379.114,1011.96 \n",
" 377.049,1009.95 374.999,1007.95 372.965,1005.96 370.945,1003.99 368.939,1002.03 366.949,1000.08 364.973,998.144 363.011,996.222 361.063,994.314 359.13,992.42 \n",
" 357.211,990.539 355.306,988.672 353.414,986.819 351.537,984.98 349.673,983.155 347.823,981.344 345.986,979.548 344.163,977.766 342.352,975.998 340.555,974.245 \n",
" 338.772,972.507 337.001,970.783 335.242,969.075 333.497,967.381 331.764,965.702 330.044,964.038 328.336,962.389 326.64,960.755 324.957,959.136 323.286,957.533 \n",
" 321.626,955.945 319.979,954.372 318.343,952.815 316.719,951.273 315.106,949.747 313.505,948.236 311.915,946.741 310.336,945.261 308.768,943.797 307.211,942.349 \n",
" 305.666,940.917 304.13,939.5 302.606,938.099 301.092,936.713 299.588,935.344 298.094,933.99 296.611,932.652 295.138,931.33 293.674,930.024 292.221,928.733 \n",
" 290.777,927.459 289.342,926.2 287.918,924.957 286.502,923.73 285.095,922.518 283.698,921.322 282.31,920.142 280.93,918.978 279.559,917.83 278.197,916.697 \n",
" 276.843,915.58 275.498,914.478 274.161,913.392 272.832,912.322 271.511,911.267 270.197,910.227 268.892,909.203 267.594,908.195 266.303,907.201 265.02,906.223 \n",
" 263.744,905.261 262.476,904.313 261.214,903.38 259.959,902.463 258.711,901.56 257.469,900.673 256.234,899.8 255.005,898.942 253.783,898.098 252.566,897.269 \n",
" 251.356,896.456 250.152,895.656 248.954,894.872 247.761,894.103 246.574,893.348 245.393,892.607 244.218,891.882 243.047,891.171 241.882,890.474 240.722,889.793 \n",
" 239.568,889.125 238.418,888.472 237.273,887.834 236.133,887.209 234.997,886.6 233.866,886.004 232.739,885.423 231.617,884.856 230.498,884.304 229.384,883.765 \n",
" 228.274,883.241 227.168,882.731 226.065,882.235 224.966,881.754 223.871,881.286 222.779,880.832 221.69,880.393 220.605,879.967 219.523,879.555 218.444,879.158 \n",
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" 2174.19,979.251 2172.35,981.204 2170.5,983.168 2168.64,985.144 2166.76,987.133 2164.87,989.133 2162.96,991.144 2161.03,993.167 2159.09,995.201 2157.14,997.247 \n",
" 2155.17,999.303 2153.18,1001.37 2151.18,1003.45 2149.17,1005.53 2147.13,1007.63 2145.09,1009.74 2143.02,1011.86 2140.94,1013.98 2138.85,1016.12 2136.73,1018.26 \n",
" 2134.61,1020.41 2132.46,1022.58 2130.3,1024.74 2128.13,1026.92 2125.93,1029.11 2123.72,1031.3 2121.5,1033.5 2119.26,1035.7 2117,1037.91 2114.72,1040.13 \n",
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" 2088.6,1064.81 2086.12,1067.07 2083.63,1069.33 2081.12,1071.59 2078.59,1073.85 2076.04,1076.11 2073.48,1078.37 2070.91,1080.63 2068.31,1082.89 2065.7,1085.14 \n",
" 2063.07,1087.39 2060.42,1089.64 2057.76,1091.88 2055.08,1094.12 2052.39,1096.35 2049.67,1098.57 2046.95,1100.79 2044.2,1103 2041.44,1105.2 2038.66,1107.39 \n",
" 2035.86,1109.57 2033.05,1111.75 2030.22,1113.91 2027.38,1116.06 2024.52,1118.2 2021.64,1120.32 2018.75,1122.44 2015.84,1124.54 2012.92,1126.62 2009.98,1128.69 \n",
" 2007.03,1130.75 2004.06,1132.78 2001.07,1134.8 1998.07,1136.81 1995.06,1138.79 1992.03,1140.75 1988.98,1142.7 1985.93,1144.62 1982.85,1146.53 1979.77,1148.41 \n",
" 1976.66,1150.27 1973.55,1152.1 1970.42,1153.92 1967.28,1155.7 1964.12,1157.47 1960.95,1159.2 1957.77,1160.91 1954.58,1162.6 1951.37,1164.25 1948.15,1165.88 \n",
" 1944.92,1167.47 1941.68,1169.04 1938.43,1170.57 1935.16,1172.08 1931.88,1173.55 1928.59,1174.99 1925.3,1176.39 1921.99,1177.76 1918.67,1179.09 1915.34,1180.39 \n",
" 1912,1181.65 1908.65,1182.88 1905.3,1184.07 1901.93,1185.22 1898.56,1186.33 1895.18,1187.4 1891.79,1188.43 1888.39,1189.42 1884.98,1190.38 1881.57,1191.29 \n",
" 1878.16,1192.16 1874.73,1192.99 1871.3,1193.78 1867.87,1194.52 1864.43,1195.22 1860.99,1195.88 1857.54,1196.5 1854.08,1197.07 1850.63,1197.6 1847.17,1198.09 \n",
" 1843.7,1198.53 1840.24,1198.93 1836.77,1199.28 1833.3,1199.59 1829.83,1199.85 1826.35,1200.07 1822.88,1200.25 1819.4,1200.38 1815.92,1200.46 1812.45,1200.5 \n",
" 1808.97,1200.49 1805.49,1200.44 1802.02,1200.35 1798.54,1200.2 1795.07,1200.02 1791.59,1199.78 1788.12,1199.51 1784.65,1199.18 1781.19,1198.82 1777.73,1198.41 \n",
" 1774.26,1197.95 1770.81,1197.45 1767.35,1196.91 1763.91,1196.32 1760.46,1195.69 1757.02,1195.01 1753.58,1194.29 1750.15,1193.53 1746.73,1192.73 1743.31,1191.88 \n",
" 1739.89,1191 1736.49,1190.07 1733.09,1189.1 1729.69,1188.09 1726.31,1187.04 1722.93,1185.94 1719.56,1184.81 1716.19,1183.64 1712.84,1182.44 1709.49,1181.19 \n",
" 1706.15,1179.91 1702.82,1178.59 1699.51,1177.23 1696.2,1175.84 1692.9,1174.41 1689.61,1172.95 1686.33,1171.45 1683.06,1169.92 1679.8,1168.36 1676.56,1166.77 \n",
" 1673.32,1165.14 1670.1,1163.49 1666.89,1161.8 1663.7,1160.09 1660.51,1158.35 1657.34,1156.58 1654.18,1154.78 1651.04,1152.96 1647.9,1151.11 1644.79,1149.24 \n",
" 1641.68,1147.35 1638.6,1145.43 1635.52,1143.5 1632.46,1141.54 1629.42,1139.56 1626.39,1137.57 1623.38,1135.56 1620.38,1133.53 1617.41,1131.49 1614.44,1129.43 \n",
" 1611.5,1127.36 1608.57,1125.28 1605.65,1123.18 1602.76,1121.07 1599.88,1118.95 1597.01,1116.81 1594.16,1114.66 1591.33,1112.5 1588.51,1110.33 1585.71,1108.15 \n",
" 1582.93,1105.96 1580.16,1103.76 1577.41,1101.55 1574.68,1099.34 1571.96,1097.12 1569.26,1094.89 1566.57,1092.66 1563.9,1090.42 1561.25,1088.18 1558.62,1085.93 \n",
" 1556,1083.68 1553.4,1081.43 1550.81,1079.17 1548.25,1076.91 1545.7,1074.65 1543.16,1072.39 1540.65,1070.13 1538.15,1067.87 1535.66,1065.61 1533.2,1063.36 \n",
" 1530.75,1061.1 1528.32,1058.84 1525.9,1056.59 1523.5,1054.34 1521.12,1052.09 1518.76,1049.85 1516.41,1047.61 1514.08,1045.38 1511.76,1043.15 1509.46,1040.92 \n",
" 1507.18,1038.7 1504.92,1036.49 1502.67,1034.28 1500.44,1032.08 1498.22,1029.88 1496.03,1027.7 1493.84,1025.52 1491.68,1023.35 1489.53,1021.18 1487.4,1019.03 \n",
" 1485.28,1016.88 1483.18,1014.74 1481.09,1012.61 1479.02,1010.49 1476.97,1008.38 1474.93,1006.28 1472.91,1004.19 1470.9,1002.11 1468.91,1000.04 1466.94,997.984 \n",
" 1464.98,995.937 1463.03,993.901 1461.1,991.877 1459.19,989.864 1457.29,987.863 1455.41,985.874 1453.54,983.896 1451.68,981.931 1449.84,979.977 1448.02,978.036 \n",
" 1446.21,976.107 1444.41,974.191 1442.63,972.286 1440.86,970.395 1439.1,968.515 1437.36,966.649 1435.64,964.795 1433.92,962.954 1432.22,961.126 1430.54,959.31 \n",
" 1428.87,957.508 1427.21,955.719 1425.56,953.943 1423.93,952.18 1422.31,950.43 1420.71,948.693 1419.12,946.97 1417.54,945.26 1415.97,943.563 1414.41,941.88 \n",
" 1412.87,940.21 1411.34,938.553 1409.83,936.911 1408.32,935.281 1406.83,933.666 1405.35,932.063 1403.88,930.475 1402.42,928.9 1400.98,927.339 1399.55,925.791 \n",
" 1398.12,924.257 1396.71,922.737 1395.31,921.231 1393.93,919.738 1392.55,918.259 1391.19,916.793 1389.83,915.341 1388.49,913.903 1387.16,912.479 1385.83,911.068 \n",
" 1384.52,909.671 1383.22,908.288 1381.93,906.918 1380.65,905.562 1379.38,904.219 1378.12,902.89 1376.87,901.574 1375.63,900.272 1374.4,898.983 1373.18,897.708 \n",
" 1371.97,896.446 1370.77,895.198 1369.57,893.963 1368.39,892.741 1367.22,891.532 1366.05,890.336 1364.9,889.154 1363.75,887.984 1362.61,886.828 1361.48,885.684 \n",
" 1360.36,884.554 1359.25,883.436 1358.14,882.331 1357.05,881.238 1355.96,880.158 1354.88,879.091 1353.8,878.036 1352.74,876.993 1351.68,875.963 1350.63,874.945 \n",
" 1349.59,873.939 1348.56,872.945 1347.53,871.963 1346.51,870.993 1345.49,870.035 1344.49,869.089 1343.49,868.155 1342.5,867.233 1341.51,866.323 1340.53,865.425 \n",
" 1339.56,864.539 1338.6,863.664 1337.64,862.8 1336.68,861.949 1335.74,861.109 1334.8,860.28 1333.86,859.463 1332.94,858.657 1332.02,857.863 1331.1,857.079 \n",
" 1330.19,856.307 1329.29,855.547 1328.39,854.797 1327.49,854.058 1326.61,853.331 1325.72,852.614 1324.85,851.909 1323.98,851.214 1323.11,850.53 1322.25,849.857 \n",
" 1321.39,849.194 1320.54,848.543 1319.7,847.902 1318.85,847.272 1318.02,846.652 1317.19,846.043 1316.36,845.444 1315.53,844.856 1314.72,844.278 1313.9,843.71 \n",
" 1313.09,843.153 1312.29,842.607 1311.48,842.07 1310.69,841.544 1309.89,841.028 1309.1,840.522 1308.32,840.026 1307.53,839.54 1306.75,839.064 1305.98,838.599 \n",
" 1305.21,838.143 1304.44,837.697 1303.67,837.261 1302.91,836.835 1302.15,836.419 1301.4,836.012 1300.64,835.616 1299.9,835.229 1299.15,834.852 1298.4,834.484 \n",
" 1297.66,834.126 1296.92,833.778 1296.19,833.439 1295.46,833.11 1294.72,832.791 1294,832.481 1293.27,832.18 1292.54,831.889 1291.82,831.607 1291.1,831.335 \n",
" 1290.38,831.072 1289.67,830.819 1288.95,830.575 1288.24,830.34 1287.53,830.114 1286.82,829.898 1286.11,829.691 1285.41,829.493 1284.7,829.304 1284,829.125 \n",
" 1283.3,828.954 1282.6,828.793 1281.9,828.641 1281.2,828.498 1280.5,828.364 1279.8,828.239 1279.11,828.123 1278.41,828.017 1277.72,827.919 1277.02,827.831 \n",
" 1276.33,827.752 1275.64,827.681 1274.95,827.62 1274.25,827.568 1273.56,827.525 1272.87,827.491 1272.18,827.466 1271.49,827.451 1270.8,827.444 1270.11,827.446 \n",
" 1269.42,827.458 1268.73,827.478 1268.04,827.507 1267.35,827.546 1266.66,827.594 1265.96,827.65 1265.27,827.716 1264.58,827.791 1263.89,827.875 1263.19,827.968 \n",
" 1262.5,828.071 1261.8,828.182 1261.11,828.302 1260.41,828.432 1259.71,828.571 1259.01,828.719 1258.31,828.876 1257.61,829.042 1256.91,829.217 1256.2,829.402 \n",
" 1255.5,829.596 1254.79,829.799 1254.08,830.012 1253.37,830.233 1252.66,830.464 1251.94,830.705 1251.23,830.954 1250.51,831.213 1249.79,831.481 1249.07,831.759 \n",
" 1248.35,832.046 1247.62,832.343 1246.89,832.649 1246.16,832.965 1245.43,833.29 1244.69,833.624 1243.96,833.968 1243.22,834.322 1242.47,834.685 1241.73,835.058 \n",
" 1240.98,835.441 1240.23,835.833 1239.47,836.235 1238.71,836.647 1237.95,837.069 1237.19,837.5 1236.42,837.941 1235.65,838.393 1234.88,838.854 1234.1,839.325 \n",
" 1233.32,839.806 1232.53,840.297 1231.75,840.798 1230.95,841.309 1230.16,841.831 1229.36,842.362 1228.55,842.904 1227.74,843.456 1226.93,844.018 1226.12,844.591 \n",
" 1225.29,845.174 1224.47,845.768 1223.64,846.372 1222.8,846.986 1221.97,847.611 1221.12,848.247 1220.27,848.893 1219.42,849.55 1218.56,850.217 1217.7,850.894 \n",
" 1216.83,851.583 1215.96,852.282 1215.09,852.992 1214.21,853.713 1213.32,854.445 1212.43,855.188 1211.53,855.942 1210.63,856.708 1209.72,857.485 1208.8,858.273 \n",
" 1207.88,859.073 1206.96,859.884 1206.02,860.706 1205.09,861.541 1204.14,862.387 1203.19,863.245 1202.23,864.115 1201.27,864.996 1200.3,865.89 1199.32,866.796 \n",
" 1198.34,867.714 1197.35,868.643 1196.35,869.586 1195.34,870.54 1194.33,871.507 1193.31,872.486 1192.28,873.477 1191.25,874.481 1190.2,875.497 1189.15,876.526 \n",
" 1188.09,877.568 1187.03,878.622 1185.95,879.689 1184.87,880.768 1183.78,881.86 1182.68,882.966 1181.57,884.083 1180.45,885.214 1179.33,886.358 1178.19,887.515 \n",
" 1177.05,888.684 1175.9,889.867 1174.74,891.062 1173.57,892.271 1172.39,893.493 1171.2,894.727 1170,895.975 1168.79,897.237 1167.57,898.511 1166.34,899.798 \n",
" 1165.11,901.099 1163.86,902.413 1162.6,903.74 1161.33,905.081 1160.06,906.434 1158.77,907.801 1157.47,909.182 1156.16,910.575 1154.84,911.982 1153.51,913.402 \n",
" 1152.17,914.836 1150.81,916.283 1149.45,917.743 1148.07,919.217 1146.69,920.704 1145.29,922.204 1143.88,923.718 1142.46,925.244 1141.03,926.785 1139.59,928.338 \n",
" 1138.13,929.905 1136.66,931.486 1135.19,933.079 1133.69,934.686 1132.19,936.306 1130.68,937.94 1129.15,939.586 1127.61,941.246 1126.06,942.919 1124.49,944.606 \n",
" 1122.91,946.305 1121.32,948.018 1119.72,949.744 1118.1,951.483 1116.47,953.235 1114.83,955 1113.17,956.778 1111.5,958.569 1109.82,960.373 1108.13,962.191 \n",
" 1106.42,964.021 1104.69,965.863 1102.96,967.719 1101.21,969.588 1099.44,971.469 1097.66,973.363 1095.87,975.27 1094.06,977.19 1092.24,979.122 1090.41,981.066 \n",
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" 1048.4,1024.55 1046.22,1026.72 1044.03,1028.91 1041.83,1031.1 1039.6,1033.29 1037.37,1035.5 1035.11,1037.71 1032.84,1039.92 1030.55,1042.15 1028.24,1044.37 \n",
" 1025.92,1046.61 1023.58,1048.84 1021.22,1051.08 1018.85,1053.33 1016.46,1055.58 1014.05,1057.83 1011.62,1060.08 1009.18,1062.33 1006.72,1064.59 1004.25,1066.85 \n",
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" 651.209,1189.45 647.806,1188.43 644.41,1187.38 641.022,1186.28 637.641,1185.14 634.269,1183.96 630.904,1182.75 627.548,1181.5 624.201,1180.21 620.863,1178.88 \n",
" 617.535,1177.52 614.217,1176.12 610.909,1174.69 607.611,1173.22 604.324,1171.72 601.049,1170.19 597.784,1168.62 594.532,1167.02 591.292,1165.4 588.064,1163.74 \n",
" 584.849,1162.06 581.647,1160.34 578.458,1158.6 575.283,1156.84 572.122,1155.05 568.976,1153.23 565.844,1151.39 562.728,1149.53 559.626,1147.65 556.541,1145.75 \n",
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" 523.62,1123.6 520.72,1121.49 517.835,1119.37 514.967,1117.23 512.114,1115.08 509.278,1112.92 506.458,1110.75 503.654,1108.57 500.866,1106.38 498.095,1104.18 \n",
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" 443.766,1057.02 441.364,1054.77 438.98,1052.52 436.612,1050.28 434.261,1048.04 431.927,1045.8 429.61,1043.57 427.31,1041.35 425.026,1039.13 422.758,1036.91 \n",
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" 1946.84,1159.2 1943.66,1160.78 1940.47,1162.32 1937.27,1163.84 1934.05,1165.32 1930.83,1166.77 1927.59,1168.19 1924.34,1169.58 1921.09,1170.93 1917.82,1172.24 \n",
" 1914.54,1173.53 1911.26,1174.77 1907.96,1175.98 1904.66,1177.16 1901.34,1178.29 1898.02,1179.39 1894.69,1180.45 1891.35,1181.48 1888.01,1182.46 1884.66,1183.41 \n",
" 1881.3,1184.31 1877.93,1185.18 1874.56,1186 1871.18,1186.79 1867.79,1187.53 1864.4,1188.24 1861.01,1188.9 1857.6,1189.51 1854.2,1190.09 1850.79,1190.62 \n",
" 1847.38,1191.11 1843.96,1191.56 1840.54,1191.96 1837.12,1192.32 1833.69,1192.63 1830.26,1192.9 1826.84,1193.13 1823.41,1193.31 1819.97,1193.44 1816.54,1193.53 \n",
" 1813.11,1193.57 1809.68,1193.57 1806.24,1193.51 1802.81,1193.42 1799.38,1193.27 1795.95,1193.08 1792.53,1192.84 1789.1,1192.56 1785.68,1192.23 1782.26,1191.85 \n",
" 1778.84,1191.44 1775.43,1190.97 1772.02,1190.47 1768.62,1189.91 1765.22,1189.32 1761.82,1188.69 1758.43,1188.01 1755.05,1187.29 1751.67,1186.53 1748.29,1185.72 \n",
" 1744.93,1184.88 1741.56,1184 1738.21,1183.08 1734.86,1182.12 1731.52,1181.12 1728.19,1180.08 1724.87,1179 1721.55,1177.89 1718.24,1176.74 1714.95,1175.55 \n",
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" 1679.3,1160.27 1676.13,1158.69 1672.96,1157.08 1669.81,1155.44 1666.67,1153.78 1663.55,1152.08 1660.43,1150.36 1657.33,1148.62 1654.24,1146.84 1651.16,1145.05 \n",
" 1648.1,1143.22 1645.05,1141.38 1642.02,1139.51 1638.99,1137.62 1635.99,1135.7 1632.99,1133.76 1630.01,1131.81 1627.05,1129.83 1624.1,1127.83 1621.17,1125.82 \n",
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" 1514.87,1035.27 1512.63,1033.04 1510.41,1030.82 1508.2,1028.6 1506.01,1026.38 1503.84,1024.17 1501.69,1021.97 1499.55,1019.77 1497.42,1017.58 1495.32,1015.39 \n",
" 1493.23,1013.21 1491.15,1011.04 1489.1,1008.88 1487.05,1006.73 1485.03,1004.58 1483.02,1002.44 1481.03,1000.31 1479.05,998.194 1477.09,996.082 1475.14,993.98 \n",
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},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Main\n",
"#\n",
"g = 9.81; l = 10; k = 0.; # si k = 0.15 donc on a un amortissement\n",
"p = [g l k]\n",
"plot()\n",
"for theta0 in 0:(2*pi)/10:2*pi\n",
" theta0_princ = theta0\n",
" tf = 3*pi*sqrt(l/g)*(1 + theta0_princ^2/16 + theta0_princ^4/3072) # 2*approximation of the period\n",
" tspan = (0.0,tf)\n",
" x0 = [theta0 0]\n",
" prob = ODEProblem(pendule,x0,tspan,p)\n",
" sol = solve(prob)\n",
" plot!(sol,vars=(1,2), xlabel = \"x_1\", ylabel = \"x_2\", legend = false) # lw = linewidth\n",
"end\n",
"theta0 = pi-10*eps()\n",
"x0 = [theta0 0]\n",
"tf = 70 # problem for tf=50 1/4 of the period!\n",
"tspan = (0.0,tf)\n",
"prob = ODEProblem(pendule,x0,tspan,p)\n",
"sol = solve(prob)\n",
"plot!(sol,vars=(1,2), xlims = (-2*pi,4*pi), xlabel = \"x_1\", ylabel = \"x_2\", legend = false) # lw = linewidth\n",
"\n",
"theta0 = pi+10*eps()\n",
"x0 = [theta0 0]\n",
"tf = 70\n",
"tspan = (0.0,tf)\n",
"prob = ODEProblem(pendule,x0,tspan,p)\n",
"sol = solve(prob)\n",
"plot!(sol,vars=(1,2), xlims = (-2*pi,4*pi), xlabel = \"x_1\", ylabel = \"x_2\", legend = false) # lw = linewidth\n",
"\n",
"# circulation case\n",
"for thetapoint0 in 0:0.2:2 \n",
" tf = 10\n",
" tspan = (0.,tf)\n",
" x0 = [-pi thetapoint0] # thetapoint0 > 0 so theta increases from -pi to ...\n",
" prob = ODEProblem(pendule,x0,tspan,p)\n",
" sol = solve(prob)\n",
" plot!(sol,vars=(1,2), xlabel = \"x_1\", ylabel = \"x_2\", legend = false) # lw = linewidth\n",
"end\n",
"for thetapoint0 in -2:0.2:0\n",
" tf = 10\n",
" tspan = (0.,tf)\n",
" x0 = [3*pi thetapoint0] # thetapoint0 < 0 so theta decreases from 3pi to ...\n",
" prob = ODEProblem(pendule,x0,tspan,p)\n",
" sol = solve(prob)\n",
" plot!(sol,vars=(1,2), xlabel = \"x_1\", ylabel = \"x_2\", legend = false) # lw = linewidth\n",
"end\n",
"plot!([-pi 0 pi 2*pi 3*pi], [0 0 0 0 0], seriestype=:scatter)\n",
"plot!(xlims = (-pi,3*pi))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Modèle de Van der Pol\n",
"### Exemple de cycle limite\n",
"L'équation différentielle considérée est l'équation de Van der Pol\n",
"$$(IVP)\\left\\{\\begin{array}{l}\n",
"\\dot{y}_1(t)=y_2(t)\\\\\n",
"\\dot{y}_2(t)=(1-y_1^2(t))y_2(t)-y_1(t)\\\\\n",
"y_1(0)=2.00861986087484313650940188\\\\\n",
"y_2(0)=0\n",
"\\end{array}\\right.\n",
"$$\n",
"$t_f=T=6.6632868593231301896996820305$\n",
"\n",
"\n",
"La solution de ce problème de Cauchy est périodique de période $T$.\n",
"\n",
"Résoudre et de visualiser la solution pour les points de départ :\n",
"- x0 = [2.00861986087484313650940188,0]\n",
"- [x01 , 0] pour x01 in -2:0.4:0\n",
"- [0 , x02] pour x02 in 2:1:4\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"vdp (generic function with 1 method)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function vdp(x,p,t)\n",
"# Van der Pol model\n",
"# second member of the IVP\n",
"# x : state\n",
"# real(2)\n",
"# p : parameter vector\n",
"# t : time, variable not use here\n",
"# real\n",
"# Output\n",
"# xpoint : vector of velocity\n",
"# same as x\n",
"# To complete\n",
"# xpoint = similar(x)\n",
"# xpoint[1] = x[2]\n",
"# xpoint[2] = (1-x[1]^2)*x[2] - x[1]\n",
" xpoint = [x[2] , (1-x[1]^2)*x[2] - x[1]]\n",
" return xpoint\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"x0 = [2.0086198608748433, 0.0], p = [1], tspan = (0.0, 6.66328685932313)\n"
]
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" 432.63,780.544 433.949,779.986 435.273,779.428 436.603,778.868 437.94,778.308 439.282,777.748 440.631,777.186 441.985,776.623 443.346,776.06 444.713,775.495 \n",
" 446.086,774.928 447.465,774.361 448.85,773.792 450.241,773.221 451.638,772.649 453.042,772.074 454.451,771.499 455.867,770.921 457.289,770.341 458.718,769.759 \n",
" 460.152,769.174 461.593,768.588 463.04,767.999 464.494,767.407 465.954,766.813 467.42,766.217 468.893,765.617 470.373,765.015 471.858,764.41 473.351,763.801 \n",
" 474.849,763.19 476.355,762.575 477.867,761.957 479.386,761.336 480.911,760.711 482.444,760.083 483.983,759.451 485.528,758.815 487.081,758.176 488.641,757.532 \n",
" 490.207,756.885 491.781,756.233 493.361,755.577 494.949,754.917 496.544,754.253 498.146,753.584 499.755,752.911 501.371,752.233 502.995,751.551 504.626,750.863 \n",
" 506.265,750.171 507.911,749.474 509.564,748.771 511.226,748.064 512.894,747.351 514.571,746.633 516.255,745.909 517.947,745.18 519.647,744.445 521.355,743.704 \n",
" 523.071,742.958 524.795,742.206 526.527,741.447 528.268,740.683 530.016,739.912 531.773,739.135 533.538,738.351 535.312,737.561 537.094,736.764 538.885,735.961 \n",
" 540.685,735.151 542.493,734.333 544.31,733.509 546.136,732.678 547.971,731.839 549.815,730.993 551.669,730.139 553.531,729.278 555.403,728.409 557.284,727.532 \n",
" 559.175,726.647 561.075,725.754 562.985,724.853 564.904,723.943 566.834,723.025 568.773,722.099 570.723,721.164 572.682,720.22 574.652,719.267 576.632,718.305 \n",
" 578.622,717.334 580.623,716.353 582.635,715.363 584.657,714.364 586.69,713.354 588.734,712.335 590.789,711.306 592.856,710.267 594.933,709.217 597.022,708.157 \n",
" 599.122,707.087 601.234,706.006 603.357,704.914 605.493,703.811 607.64,702.697 609.799,701.572 611.971,700.435 614.154,699.288 616.349,698.129 618.557,696.959 \n",
" 620.777,695.777 623.01,694.584 625.256,693.377 627.515,692.159 629.787,690.928 632.072,689.684 634.37,688.427 636.682,687.157 639.008,685.874 641.348,684.577 \n",
" 643.701,683.266 646.069,681.941 648.452,680.602 650.849,679.249 653.26,677.882 655.687,676.499 658.128,675.102 660.585,673.69 663.057,672.263 665.545,670.821 \n",
" 668.049,669.363 670.568,667.889 673.103,666.4 675.655,664.895 678.223,663.374 680.807,661.837 683.409,660.284 686.027,658.714 688.662,657.128 691.315,655.525 \n",
" 693.985,653.906 696.673,652.269 699.378,650.616 702.101,648.946 704.843,647.259 707.603,645.554 710.381,643.832 713.178,642.093 715.994,640.337 718.829,638.562 \n",
" 721.683,636.771 724.557,634.961 727.45,633.134 730.363,631.289 733.296,629.426 736.249,627.545 739.222,625.646 742.216,623.729 745.231,621.794 748.266,619.841 \n",
" 751.323,617.87 754.401,615.881 757.5,613.873 760.621,611.847 763.764,609.803 766.929,607.741 770.116,605.66 773.326,603.561 776.558,601.444 779.813,599.308 \n",
" 783.091,597.154 786.392,594.982 789.717,592.792 793.065,590.583 796.438,588.356 799.834,586.11 803.254,583.847 806.699,581.565 810.168,579.265 813.662,576.946 \n",
" 817.181,574.61 820.726,572.256 824.295,569.886 827.888,567.501 831.507,565.1 835.151,562.685 838.821,560.254 842.517,557.809 846.24,555.35 849.988,552.877 \n",
" 853.764,550.391 857.567,547.892 861.397,545.381 865.254,542.859 869.139,540.325 873.051,537.782 876.992,535.229 880.96,532.667 884.956,530.098 888.981,527.522 \n",
" 893.033,524.941 897.114,522.354 901.224,519.764 905.361,517.171 909.527,514.577 913.721,511.983 917.943,509.39 922.193,506.8 926.471,504.213 930.778,501.632 \n",
" 935.112,499.057 939.474,496.491 943.863,493.934 948.28,491.39 952.725,488.858 957.196,486.341 961.694,483.842 966.219,481.361 970.77,478.9 975.347,476.462 \n",
" 979.95,474.048 984.578,471.661 989.232,469.302 993.911,466.974 998.614,464.679 1003.34,462.42 1008.09,460.197 1012.87,458.015 1017.66,455.875 1022.48,453.78 \n",
" 1027.33,451.731 1032.19,449.733 1037.07,447.787 1041.98,445.896 1046.91,444.063 1051.85,442.29 1056.81,440.581 1061.8,438.938 1066.8,437.364 1071.82,435.858 \n",
" 1076.85,434.42 1081.9,433.056 1086.97,431.769 1092.06,430.563 1097.15,429.443 1102.26,428.411 1107.38,427.471 1112.5,426.628 1117.64,425.884 1122.78,425.241 \n",
" 1127.93,424.705 1133.08,424.276 1138.24,423.958 1143.39,423.754 1148.55,423.665 1153.71,423.695 1158.86,423.844 1164.02,424.116 1169.16,424.512 1174.3,425.033 \n",
" 1179.44,425.682 1184.56,426.459 1189.68,427.365 1194.79,428.403 1199.88,429.573 1204.96,430.875 1210.02,432.31 1215.07,433.879 1220.1,435.582 1225.11,437.419 \n",
" 1230.1,439.391 1235.07,441.497 1240.02,443.737 1244.94,446.111 1249.84,448.617 1254.7,451.257 1259.55,454.027 1264.36,456.929 1269.14,459.96 1273.88,463.119 \n",
" 1278.6,466.405 1283.28,469.816 1287.92,473.351 1292.52,477.008 1297.09,480.784 1301.61,484.678 1306.09,488.687 1310.53,492.809 1314.92,497.042 1319.27,501.382 \n",
" 1323.57,505.826 1327.82,510.372 1332.02,515.017 1336.16,519.762 1340.26,524.604 1344.3,529.536 1348.29,534.553 1352.22,539.65 1356.1,544.82 1359.93,550.059 \n",
" 1363.69,555.361 1367.4,560.72 1371.06,566.133 1374.65,571.593 1378.19,577.096 1381.66,582.637 1385.08,588.211 1388.44,593.814 1391.74,599.442 1394.98,605.09 \n",
" 1398.15,610.754 1401.27,616.429 1404.33,622.112 1407.32,627.799 1410.25,633.486 1413.13,639.169 1415.94,644.844 1418.69,650.509 1421.38,656.16 1424,661.793 \n",
" 1426.57,667.406 1429.08,672.995 1431.52,678.557 1433.91,684.09 1436.23,689.591 1438.5,695.056 1440.71,700.485 1442.85,705.874 1444.94,711.22 1446.97,716.523 \n",
" 1448.95,721.779 1450.86,726.987 1452.72,732.145 1454.53,737.25 1456.27,742.303 1457.97,747.3 1459.61,752.24 1461.2,757.123 1462.73,761.946 1464.22,766.709 \n",
" 1465.65,771.411 1467.03,776.051 1468.37,780.628 1469.66,785.141 1470.9,789.59 1472.1,793.973 1473.24,798.29 1474.35,802.542 1475.4,806.728 1476.42,810.85 \n",
" 1477.39,814.906 1478.31,818.897 1479.2,822.824 1480.04,826.686 1480.84,830.484 1481.6,834.219 1482.33,837.89 1483.01,841.498 1483.65,845.043 1484.26,848.526 \n",
" 1484.83,851.948 1485.36,855.308 1485.86,858.607 1486.32,861.845 1486.74,865.024 1487.14,868.143 1487.49,871.204 1487.82,874.206 1488.11,877.15 1488.37,880.038 \n",
" 1488.6,882.869 1488.8,885.645 1488.97,888.365 1489.11,891.032 1489.23,893.644 1489.31,896.204 1489.36,898.712 1489.39,901.169 1489.4,903.576 1489.37,905.933 \n",
" 1489.32,908.241 1489.25,910.502 1489.15,912.716 1489.03,914.884 1488.88,917.007 1488.71,919.086 1488.52,921.122 1488.31,923.117 1488.07,925.07 1487.82,926.984 \n",
" 1487.54,928.859 1487.25,930.697 1486.93,932.499 1486.6,934.265 1486.25,935.997 1485.88,937.697 1485.5,939.364 1485.1,941 1484.68,942.604 1484.24,944.177 \n",
" 1483.79,945.719 1483.32,947.231 1482.83,948.714 1482.33,950.168 1481.81,951.594 1481.28,952.993 1480.73,954.365 1480.17,955.711 1479.6,957.031 1479.01,958.327 \n",
" 1478.4,959.598 1477.79,960.846 1477.15,962.071 1476.51,963.273 1475.85,964.453 1475.18,965.612 1474.5,966.75 1473.81,967.868 1473.1,968.966 1472.38,970.045 \n",
" 1471.65,971.105 1470.91,972.146 1470.16,973.171 1469.39,974.177 1468.62,975.167 1467.83,976.141 1467.04,977.099 1466.23,978.042 1465.41,978.97 1464.59,979.883 \n",
" 1463.75,980.782 1462.91,981.667 1462.05,982.54 1461.19,983.399 1460.31,984.246 1459.43,985.081 1458.54,985.904 1457.64,986.716 1456.73,987.517 1455.82,988.308 \n",
" 1454.89,989.088 1453.96,989.858 1453.02,990.618 1452.07,991.369 1451.11,992.111 1450.15,992.844 1449.17,993.568 1448.19,994.284 1447.2,994.992 1446.21,995.692 \n",
" 1445.2,996.385 1444.19,997.07 1443.17,997.748 1442.15,998.419 1441.12,999.084 1440.08,999.742 1439.03,1000.39 1437.97,1001.04 1436.91,1001.68 1435.85,1002.32 \n",
" 1434.77,1002.95 1433.69,1003.57 1432.6,1004.19 1431.51,1004.81 1430.4,1005.42 1429.3,1006.02 1428.18,1006.63 1427.06,1007.22 1425.93,1007.82 1424.8,1008.41 \n",
" 1423.66,1009 1422.51,1009.58 1421.36,1010.16 1420.2,1010.74 1419.03,1011.32 1417.86,1011.89 1416.68,1012.46 1415.5,1013.03 1414.31,1013.6 1413.11,1014.17 \n",
" 1411.91,1014.73 1410.7,1015.29 1409.49,1015.85 1408.27,1016.41 1407.04,1016.96 1405.81,1017.52 1404.57,1018.07 1403.33,1018.63 1402.08,1019.18 1400.82,1019.73 \n",
" 1399.56,1020.28 1398.3,1020.84 1397.02,1021.39 1395.74,1021.94 1394.46,1022.49 1393.16,1023.04 1391.87,1023.59 1390.56,1024.14 1389.25,1024.69 1387.94,1025.24 \n",
" 1386.62,1025.79 1385.29,1026.34 1383.96,1026.9 1382.62,1027.45 1381.27,1028 1379.92,1028.56 1378.57,1029.12 1377.2,1029.67 1375.83,1030.23 1374.46,1030.79 \n",
" 1373.08,1031.35 1371.69,1031.92 1370.3,1032.48 1368.9,1033.05 1367.49,1033.62 1366.08,1034.19 1364.67,1034.76 1363.24,1035.34 1361.81,1035.91 1360.38,1036.49 \n",
" 1358.93,1037.07 1357.48,1037.66 1356.03,1038.24 1354.57,1038.83 1353.1,1039.43 1351.63,1040.02 1350.15,1040.62 1348.66,1041.22 1347.17,1041.82 1345.67,1042.43 \n",
" 1344.16,1043.04 1342.65,1043.65 1341.13,1044.27 1339.6,1044.89 1338.07,1045.52 1336.53,1046.14 1334.98,1046.78 1333.43,1047.41 1331.87,1048.05 1330.3,1048.69 \n",
" 1328.73,1049.34 1327.15,1049.99 1325.56,1050.65 1323.96,1051.31 1322.36,1051.98 1320.75,1052.65 1319.14,1053.32 1317.51,1054 1315.88,1054.68 1314.24,1055.37 \n",
" 1312.6,1056.07 1310.94,1056.76 1309.28,1057.47 1307.61,1058.18 1305.94,1058.89 1304.25,1059.61 1302.56,1060.34 1300.86,1061.07 1299.15,1061.81 1297.44,1062.55 \n",
" 1295.71,1063.3 1293.98,1064.06 1292.24,1064.82 1290.49,1065.59 1288.73,1066.36 1286.97,1067.14 1285.2,1067.93 1283.42,1068.72 1281.62,1069.52 1279.83,1070.33 \n",
" 1278.02,1071.14 1276.2,1071.96 1274.38,1072.79 1272.54,1073.63 1270.7,1074.47 1268.85,1075.32 1266.99,1076.18 1265.11,1077.05 1263.23,1077.92 1261.34,1078.8 \n",
" 1259.45,1079.69 1257.54,1080.59 1255.62,1081.5 1253.69,1082.41 1251.75,1083.33 1249.8,1084.27 1247.85,1085.21 1245.88,1086.16 1243.9,1087.11 1241.91,1088.08 \n",
" 1239.91,1089.06 1237.9,1090.04 1235.88,1091.04 1233.85,1092.05 1231.81,1093.06 1229.75,1094.09 1227.69,1095.12 1225.61,1096.17 1223.52,1097.22 1221.43,1098.29 \n",
" 1219.32,1099.37 1217.19,1100.45 1215.06,1101.55 1212.92,1102.66 1210.76,1103.78 1208.59,1104.92 1206.41,1106.06 1204.21,1107.22 1202,1108.38 1199.79,1109.56 \n",
" 1197.55,1110.75 1195.31,1111.96 1193.05,1113.17 1190.78,1114.4 1188.49,1115.64 1186.2,1116.9 1183.88,1118.16 1181.56,1119.44 1179.22,1120.74 1176.87,1122.04 \n",
" 1174.5,1123.37 1172.12,1124.7 1169.72,1126.05 1167.31,1127.41 1164.89,1128.79 1162.45,1130.18 1159.99,1131.59 1157.52,1133.01 1155.04,1134.44 1152.54,1135.88 \n",
" 1150.03,1137.34 1147.51,1138.81 1144.97,1140.3 1142.41,1141.8 1139.84,1143.31 1137.26,1144.85 1134.65,1146.39 1132.03,1147.96 1129.4,1149.54 1126.74,1151.14 \n",
" 1124.07,1152.76 1121.39,1154.39 1118.68,1156.04 1115.96,1157.71 1113.21,1159.4 1110.45,1161.11 1107.67,1162.84 1104.87,1164.59 1102.05,1166.35 1099.21,1168.14 \n",
" 1096.36,1169.94 1093.48,1171.77 1090.58,1173.62 1087.66,1175.48 1084.72,1177.37 1081.75,1179.27 1078.77,1181.2 1075.77,1183.14 1072.74,1185.11 1069.69,1187.09 \n",
" 1066.62,1189.1 1063.53,1191.13 1060.41,1193.17 1057.27,1195.24 1054.11,1197.32 1050.92,1199.43 1047.71,1201.55 1044.48,1203.7 1041.23,1205.86 1037.95,1208.04 \n",
" 1034.64,1210.24 1031.32,1212.46 1027.96,1214.7 1024.59,1216.95 1021.19,1219.22 1017.76,1221.51 1014.31,1223.82 1010.83,1226.14 1007.33,1228.48 1003.81,1230.83 \n",
" 1000.25,1233.2 996.677,1235.59 993.073,1237.99 989.444,1240.4 985.789,1242.83 982.108,1245.26 978.401,1247.72 974.667,1250.18 970.908,1252.65 967.122,1255.14 \n",
" 963.309,1257.64 959.47,1260.14 955.604,1262.66 951.712,1265.18 947.792,1267.71 943.846,1270.25 939.873,1272.79 935.873,1275.34 931.846,1277.9 927.792,1280.45 \n",
" 923.711,1283.02 919.602,1285.58 915.467,1288.14 911.304,1290.71 907.114,1293.28 902.897,1295.84 898.652,1298.41 894.38,1300.97 890.081,1303.53 885.754,1306.08 \n",
" 881.4,1308.63 877.019,1311.17 872.61,1313.7 868.174,1316.23 863.711,1318.74 859.22,1321.25 854.701,1323.75 850.154,1326.23 845.579,1328.7 840.977,1331.14 \n",
" 836.348,1333.57 831.693,1335.96 827.012,1338.33 822.305,1340.66 817.573,1342.96 812.817,1345.22 808.037,1347.44 803.233,1349.61 798.407,1351.73 793.558,1353.81 \n",
" 788.688,1355.83 783.796,1357.79 778.885,1359.69 773.954,1361.54 769.003,1363.31 764.035,1365.02 759.049,1366.66 754.047,1368.23 749.028,1369.72 743.995,1371.14 \n",
" 738.947,1372.47 733.886,1373.73 728.813,1374.89 723.728,1375.97 718.632,1376.96 713.526,1377.86 708.412,1378.66 703.29,1379.37 698.161,1379.98 693.026,1380.48 \n",
" 687.887,1380.89 682.744,1381.19 677.599,1381.38 672.452,1381.46 667.305,1381.43 662.159,1381.29 657.015,1381.04 651.874,1380.67 646.737,1380.17 641.607,1379.56 \n",
" 636.483,1378.83 631.368,1377.98 626.262,1376.99 621.168,1375.89 616.085,1374.65 611.016,1373.28 605.963,1371.79 600.926,1370.16 595.906,1368.39 590.907,1366.49 \n",
" 585.928,1364.45 580.971,1362.28 576.038,1359.96 571.131,1357.51 566.251,1354.91 561.4,1352.17 556.579,1349.28 551.79,1346.25 547.036,1343.08 542.317,1339.78 \n",
" 537.635,1336.34 532.991,1332.77 528.387,1329.08 523.823,1325.27 519.301,1321.34 514.822,1317.29 510.388,1313.14 505.998,1308.88 501.656,1304.52 497.36,1300.07 \n",
" 493.113,1295.52 488.915,1290.88 484.767,1286.15 480.671,1281.34 476.626,1276.46 472.634,1271.49 468.696,1266.46 464.811,1261.36 460.982,1256.19 457.208,1250.97 \n",
" 453.491,1245.69 449.83,1240.36 446.227,1234.98 442.681,1229.55 439.193,1224.08 435.765,1218.57 432.395,1213.03 429.085,1207.46 425.835,1201.87 422.644,1196.25 \n",
" 419.514,1190.61 416.445,1184.95 413.436,1179.28 410.488,1173.6 407.6,1167.92 404.774,1162.24 402.009,1156.55 399.305,1150.88 396.662,1145.21 394.079,1139.55 \n",
" 391.558,1133.91 389.096,1128.29 386.696,1122.69 384.355,1117.12 382.074,1111.58 379.853,1106.07 377.691,1100.59 375.588,1095.16 373.543,1089.77 371.556,1084.43 \n",
" 369.626,1079.14 367.754,1073.9 365.937,1068.72 364.177,1063.6 362.471,1058.54 360.82,1053.55 359.223,1048.63 357.679,1043.78 356.186,1039.01 354.745,1034.32 \n",
" 353.355,1029.68 352.014,1025.12 350.721,1020.61 349.477,1016.17 348.281,1011.79 347.131,1007.48 346.027,1003.23 344.968,999.043 343.954,994.922 342.984,990.867 \n",
" 342.057,986.875 341.172,982.949 340.33,979.086 339.528,975.288 338.767,971.554 338.046,967.883 337.364,964.276 336.721,960.732 336.115,957.252 335.546,953.833 \n",
" 335.014,950.477 334.518,947.182 334.057,943.948 333.631,940.774 333.238,937.661 332.879,934.607 332.553,931.611 332.258,928.674 331.995,925.793 331.763,922.969 \n",
" 331.561,920.201 331.389,917.487 331.245,914.827 331.13,912.22 331.043,909.665 330.983,907.16 330.95,904.706 330.942,902.3 330.961,899.941 331.004,897.629 \n",
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" 1445.61,990.592 1444.66,991.369 1443.7,992.137 1442.74,992.896 1441.76,993.646 1440.78,994.388 1439.79,995.121 1438.79,995.847 1437.79,996.565 1436.77,997.276 \n",
" 1435.75,997.98 1434.72,998.676 1433.69,999.367 1432.65,1000.05 1431.59,1000.73 1430.54,1001.4 1429.47,1002.06 1428.4,1002.73 1427.32,1003.38 1426.23,1004.03 \n",
" 1425.14,1004.67 1424.04,1005.32 1422.93,1005.95 1421.82,1006.58 1420.7,1007.21 1419.57,1007.83 1418.44,1008.45 1417.3,1009.07 1416.15,1009.68 1414.99,1010.29 \n",
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" 1389.29,1022.61 1387.99,1023.18 1386.69,1023.76 1385.39,1024.33 1384.08,1024.91 1382.76,1025.48 1381.43,1026.06 1380.1,1026.64 1378.77,1027.21 1377.43,1027.79 \n",
" 1376.08,1028.37 1374.72,1028.95 1373.36,1029.53 1371.99,1030.11 1370.62,1030.69 1369.24,1031.27 1367.85,1031.86 1366.46,1032.45 1365.06,1033.03 1363.66,1033.62 \n",
" 1362.25,1034.21 1360.83,1034.81 1359.4,1035.4 1357.97,1036 1356.54,1036.6 1355.09,1037.2 1353.64,1037.8 1352.19,1038.41 1350.72,1039.02 1349.25,1039.63 \n",
" 1347.78,1040.24 1346.29,1040.86 1344.8,1041.48 1343.31,1042.1 1341.8,1042.73 1340.29,1043.36 1338.78,1043.99 1337.25,1044.63 1335.72,1045.27 1334.19,1045.91 \n",
" 1332.64,1046.56 1331.09,1047.21 1329.53,1047.86 1327.97,1048.52 1326.4,1049.18 1324.82,1049.85 1323.23,1050.52 1321.64,1051.19 1320.04,1051.87 1318.43,1052.56 \n",
" 1316.81,1053.24 1315.19,1053.94 1313.56,1054.63 1311.92,1055.34 1310.27,1056.04 1308.62,1056.76 1306.96,1057.47 1305.29,1058.2 1303.61,1058.92 1301.93,1059.66 \n",
" 1300.24,1060.4 1298.54,1061.14 1296.83,1061.89 1295.11,1062.65 1293.39,1063.41 1291.65,1064.18 1289.91,1064.95 1288.16,1065.73 1286.4,1066.52 1284.64,1067.31 \n",
" 1282.86,1068.11 1281.08,1068.92 1279.28,1069.73 1277.48,1070.55 1275.67,1071.38 1273.85,1072.21 1272.03,1073.05 1270.19,1073.9 1268.34,1074.76 1266.49,1075.62 \n",
" 1264.62,1076.49 1262.75,1077.37 1260.86,1078.25 1258.97,1079.15 1257.07,1080.05 1255.16,1080.96 1253.23,1081.88 1251.3,1082.81 1249.36,1083.74 1247.41,1084.69 \n",
" 1245.44,1085.64 1243.47,1086.6 1241.49,1087.57 1239.49,1088.55 1237.49,1089.54 1235.47,1090.54 1233.45,1091.55 1231.41,1092.57 1229.36,1093.6 1227.3,1094.64 \n",
" 1225.23,1095.68 1223.15,1096.74 1221.05,1097.81 1218.95,1098.89 1216.83,1099.98 1214.7,1101.08 1212.56,1102.19 1210.41,1103.32 1208.25,1104.45 1206.07,1105.6 \n",
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" 1181.28,1119 1178.94,1120.3 1176.59,1121.6 1174.23,1122.93 1171.86,1124.26 1169.46,1125.61 1167.06,1126.98 1164.64,1128.35 1162.21,1129.74 1159.76,1131.14 \n",
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" 1010.76,1225.63 1007.27,1227.95 1003.75,1230.29 1000.21,1232.65 996.638,1235.02 993.044,1237.41 989.423,1239.81 985.777,1242.22 982.105,1244.65 978.408,1247.09 \n",
" 974.684,1249.54 970.934,1252 967.158,1254.48 963.355,1256.96 959.526,1259.45 955.671,1261.96 951.788,1264.47 947.879,1266.99 943.944,1269.52 939.981,1272.06 \n",
" 935.991,1274.6 931.975,1277.15 927.931,1279.7 923.86,1282.26 919.761,1284.82 915.635,1287.39 911.482,1289.96 907.302,1292.53 903.093,1295.1 898.857,1297.67 \n",
" 894.594,1300.24 890.302,1302.81 885.983,1305.38 881.636,1307.94 877.261,1310.5 872.858,1313.06 868.427,1315.61 863.969,1318.14 859.482,1320.66 854.969,1323.17 \n",
" 850.428,1325.66 845.861,1328.12 841.267,1330.57 836.647,1332.98 832.001,1335.37 827.33,1337.72 822.634,1340.04 817.913,1342.32 813.168,1344.56 808.399,1346.76 \n",
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" 754.532,1367.41 749.523,1368.9 744.499,1370.32 739.461,1371.66 734.409,1372.92 729.343,1374.09 724.266,1375.19 719.178,1376.19 714.079,1377.11 708.971,1377.93 \n",
" 703.855,1378.66 698.732,1379.3 693.602,1379.83 688.468,1380.27 683.329,1380.6 678.187,1380.82 673.044,1380.94 667.899,1380.95 662.756,1380.84 657.614,1380.62 \n",
" 652.475,1380.28 647.34,1379.83 642.21,1379.25 637.088,1378.55 631.973,1377.72 626.868,1376.76 621.774,1375.67 616.692,1374.46 611.623,1373.1 606.57,1371.61 \n",
" 601.533,1369.98 596.515,1368.21 591.516,1366.3 586.538,1364.24 581.585,1362.04 576.657,1359.7 571.757,1357.22 566.885,1354.61 562.043,1351.86 557.232,1348.99 \n",
" 552.454,1345.98 547.71,1342.85 543,1339.59 538.327,1336.21 533.692,1332.71 529.096,1329.09 524.539,1325.36 520.023,1321.52 515.55,1317.56 511.12,1313.5 \n",
" 506.733,1309.34 502.392,1305.07 498.098,1300.71 493.85,1296.25 489.65,1291.69 485.499,1287.05 481.398,1282.32 477.348,1277.51 473.349,1272.62 469.401,1267.65 \n",
" 465.507,1262.61 461.666,1257.5 457.88,1252.32 454.148,1247.08 450.472,1241.79 446.852,1236.43 443.288,1231.02 439.782,1225.57 436.333,1220.07 432.942,1214.53 \n",
" 429.61,1208.96 426.337,1203.35 423.123,1197.72 419.969,1192.06 416.874,1186.38 413.84,1180.68 410.867,1174.97 407.954,1169.26 405.102,1163.55 402.311,1157.83 \n",
" 399.582,1152.12 396.914,1146.43 394.307,1140.75 391.762,1135.09 389.278,1129.45 386.856,1123.85 384.495,1118.28 382.196,1112.75 379.957,1107.26 377.781,1101.83 \n",
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" 1346.48,1034.52 1345.06,1035.2 1343.63,1035.87 1342.19,1036.55 1340.75,1037.23 1339.3,1037.91 1337.84,1038.59 1336.37,1039.27 1334.9,1039.96 1333.42,1040.65 \n",
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" 1316.64,1048.4 1315.07,1049.13 1313.49,1049.85 1311.9,1050.59 1310.31,1051.32 1308.71,1052.06 1307.1,1052.81 1305.48,1053.56 1303.85,1054.31 1302.21,1055.07 \n",
" 1300.57,1055.83 1298.92,1056.59 1297.26,1057.37 1295.59,1058.14 1293.92,1058.92 1292.23,1059.71 1290.54,1060.5 1288.84,1061.3 1287.13,1062.1 1285.41,1062.91 \n",
" 1283.68,1063.73 1281.94,1064.55 1280.2,1065.37 1278.44,1066.21 1276.68,1067.04 1274.91,1067.89 1273.13,1068.74 1271.33,1069.6 1269.53,1070.46 1267.72,1071.34 \n",
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" 1247.18,1081.41 1245.25,1082.37 1243.32,1083.34 1241.37,1084.32 1239.41,1085.31 1237.44,1086.3 1235.46,1087.31 1233.47,1088.32 1231.46,1089.34 1229.45,1090.38 \n",
" 1227.43,1091.42 1225.39,1092.47 1223.35,1093.53 1221.29,1094.6 1219.22,1095.69 1217.14,1096.78 1215.04,1097.88 1212.94,1098.99 1210.82,1100.12 1208.69,1101.25 \n",
" 1206.55,1102.4 1204.39,1103.56 1202.23,1104.72 1200.05,1105.9 1197.86,1107.09 1195.65,1108.3 1193.43,1109.51 1191.2,1110.74 1188.96,1111.98 1186.7,1113.23 \n",
" 1184.43,1114.5 1182.14,1115.77 1179.84,1117.06 1177.53,1118.37 1175.2,1119.68 1172.86,1121.01 1170.51,1122.35 1168.13,1123.71 1165.75,1125.08 1163.35,1126.47 \n",
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" 1267.92,1056.8 1266.26,1057.73 1264.58,1058.66 1262.9,1059.6 1261.21,1060.54 1259.51,1061.49 1257.79,1062.44 1256.07,1063.4 1254.33,1064.36 1252.59,1065.33 \n",
" 1250.84,1066.31 1249.07,1067.29 1247.29,1068.28 1245.51,1069.27 1243.71,1070.27 1241.9,1071.28 1240.08,1072.29 1238.25,1073.31 1236.41,1074.33 1234.56,1075.37 \n",
" 1232.7,1076.41 1230.82,1077.46 1228.94,1078.51 1227.04,1079.57 1225.13,1080.65 1223.21,1081.72 1221.28,1082.81 1219.34,1083.91 1217.38,1085.01 1215.42,1086.12 \n",
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" 1171.17,1111.71 1168.92,1113.05 1166.65,1114.4 1164.36,1115.76 1162.06,1117.13 1159.75,1118.52 1157.42,1119.92 1155.07,1121.33 1152.71,1122.76 1150.34,1124.2 \n",
" 1147.94,1125.65 1145.54,1127.11 1143.11,1128.59 1140.68,1130.08 1138.22,1131.59 1135.75,1133.11 1133.26,1134.64 1130.76,1136.19 1128.24,1137.76 1125.7,1139.33 \n",
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" 1619.42,882.533 1619.61,886.09 1619.78,889.529 1619.9,892.855 1619.99,896.071 1620.04,899.18 1620.07,902.186 1620.06,905.091 1620.02,907.899 1619.94,910.614 \n",
" 1619.85,913.238 1619.72,915.774 1619.56,918.226 1619.38,920.597 1619.18,922.889 1618.95,925.105 1618.7,927.249 1618.42,929.322 1618.13,931.327 1617.81,933.265 \n",
" 1617.47,935.139 1617.11,936.952 1616.74,938.704 1616.34,940.4 1615.93,942.039 1615.5,943.625 1615.05,945.159 1614.58,946.644 1614.1,948.08 1613.61,949.47 \n",
" 1613.1,950.816 1612.57,952.118 1612.03,953.379 1611.48,954.601 1610.92,955.784 1610.34,956.93 1609.75,958.041 1609.15,959.117 1608.54,960.161 1607.92,961.173 \n",
" 1607.28,962.154 1606.64,963.105 1605.99,964.028 1605.32,964.923 1604.65,965.792 1603.97,966.635 1603.27,967.454 1602.57,968.249 1601.86,969.021 1601.15,969.771 \n",
" 1600.42,970.5 1599.69,971.209 1598.95,971.898 1598.2,972.569 1597.45,973.222 1596.68,973.857 1595.91,974.476 1595.14,975.079 1594.36,975.666 1593.57,976.239 \n",
" 1592.78,976.797 1591.98,977.342 1591.17,977.874 1590.36,978.393 1589.54,978.899 1588.72,979.394 1587.89,979.878 1587.06,980.35 1586.22,980.813 1585.38,981.264 \n",
" 1584.54,981.707 1583.68,982.14 1582.83,982.563 1581.97,982.979 1581.1,983.386 1580.23,983.785 1579.36,984.176 1578.48,984.56 1577.6,984.937 1576.71,985.308 \n",
" 1575.82,985.672 1574.92,986.029 1574.03,986.381 1573.12,986.727 1572.22,987.068 1571.31,987.404 1570.4,987.734 1569.48,988.06 1568.56,988.381 1567.64,988.698 \n",
" 1566.71,989.01 1565.78,989.319 1564.85,989.623 1563.91,989.924 1562.97,990.221 1562.03,990.515 1561.08,990.805 1560.14,991.093 1559.18,991.377 1558.23,991.658 \n",
" 1557.27,991.937 1556.31,992.213 1555.34,992.487 1554.38,992.759 1553.41,993.028 1552.43,993.295 1551.46,993.56 1550.48,993.823 1549.5,994.085 1548.51,994.345 \n",
" 1547.53,994.603 1546.54,994.86 1545.54,995.115 1544.55,995.369 1543.55,995.622 1542.55,995.874 1541.55,996.125 1540.54,996.375 1539.53,996.624 1538.52,996.872 \n",
" 1537.51,997.119 1536.49,997.366 1535.47,997.612 1534.45,997.857 1533.42,998.102 1532.4,998.347 1531.37,998.591 1530.33,998.834 1529.3,999.078 1528.26,999.321 \n",
" 1527.22,999.564 1526.18,999.806 1525.13,1000.05 1524.08,1000.29 1523.03,1000.53 1521.98,1000.78 1520.92,1001.02 1519.86,1001.26 1518.8,1001.51 1517.74,1001.75 \n",
" 1516.67,1001.99 1515.6,1002.24 1514.53,1002.48 1513.46,1002.73 1512.38,1002.97 1511.3,1003.22 1510.22,1003.46 1509.13,1003.71 1508.04,1003.96 1506.95,1004.21 \n",
" 1505.86,1004.45 1504.76,1004.7 1503.67,1004.95 1502.56,1005.2 1501.46,1005.46 1500.35,1005.71 1499.24,1005.96 1498.13,1006.22 1497.02,1006.47 1495.9,1006.73 \n",
" 1494.78,1006.98 1493.66,1007.24 1492.53,1007.5 1491.4,1007.76 1490.27,1008.02 1489.14,1008.28 1488,1008.55 1486.86,1008.81 1485.72,1009.08 1484.57,1009.34 \n",
" 1483.42,1009.61 1482.27,1009.88 1481.12,1010.15 1479.96,1010.42 1478.8,1010.69 1477.64,1010.97 1476.47,1011.24 1475.3,1011.52 1474.13,1011.8 1472.96,1012.08 \n",
" 1471.78,1012.36 1470.6,1012.65 1469.41,1012.93 1468.23,1013.22 1467.04,1013.5 1465.84,1013.79 1464.65,1014.08 1463.45,1014.38 1462.24,1014.67 1461.04,1014.97 \n",
" 1459.83,1015.26 1458.62,1015.56 1457.4,1015.86 1456.18,1016.17 1454.96,1016.47 1453.73,1016.78 1452.5,1017.09 1451.27,1017.4 1450.04,1017.71 1448.8,1018.03 \n",
" 1447.56,1018.34 1446.31,1018.66 1445.06,1018.98 1443.81,1019.3 1442.55,1019.63 1441.29,1019.95 1440.03,1020.28 1438.76,1020.62 1437.49,1020.95 1436.22,1021.28 \n",
" 1434.94,1021.62 1433.66,1021.96 1432.38,1022.31 1431.09,1022.65 1429.8,1023 1428.5,1023.35 1427.2,1023.7 1425.9,1024.06 1424.59,1024.41 1423.28,1024.77 \n",
" 1421.96,1025.14 1420.64,1025.5 1419.32,1025.87 1417.99,1026.24 1416.66,1026.61 1415.33,1026.99 1413.99,1027.37 1412.64,1027.75 1411.3,1028.13 1409.95,1028.52 \n",
" 1408.59,1028.91 1407.23,1029.3 1405.87,1029.69 1404.5,1030.09 1403.13,1030.49 1401.75,1030.9 1400.37,1031.3 1398.98,1031.71 1397.59,1032.13 1396.2,1032.54 \n",
" 1394.8,1032.96 1393.4,1033.39 1391.99,1033.81 1390.58,1034.24 1389.16,1034.67 1387.74,1035.11 1386.31,1035.55 1384.88,1035.99 1383.44,1036.44 1382,1036.89 \n",
" 1380.56,1037.34 1379.11,1037.8 1377.65,1038.26 1376.19,1038.72 1374.73,1039.19 1373.26,1039.66 1371.78,1040.14 1370.3,1040.62 1368.81,1041.1 1367.32,1041.59 \n",
" 1365.83,1042.08 1364.32,1042.58 1362.82,1043.08 1361.3,1043.58 1359.79,1044.09 1358.26,1044.6 1356.73,1045.12 1355.2,1045.64 1353.66,1046.17 1352.11,1046.7 \n",
" 1350.56,1047.23 1349,1047.78 1347.44,1048.32 1345.87,1048.87 1344.29,1049.42 1342.71,1049.98 1341.12,1050.55 1339.53,1051.12 1337.93,1051.69 1336.33,1052.27 \n",
" 1334.71,1052.86 1333.09,1053.45 1331.47,1054.04 1329.84,1054.64 1328.2,1055.25 1326.55,1055.86 1324.9,1056.48 1323.25,1057.1 1321.58,1057.73 1319.91,1058.36 \n",
" 1318.23,1059 1316.55,1059.65 1314.85,1060.3 1313.15,1060.96 1311.45,1061.63 1309.73,1062.3 1308.01,1062.98 1306.29,1063.66 1304.55,1064.35 1302.81,1065.05 \n",
" 1301.06,1065.75 1299.3,1066.46 1297.53,1067.18 1295.76,1067.9 1293.98,1068.63 1292.19,1069.37 1290.39,1070.11 1288.59,1070.87 1286.77,1071.63 1284.95,1072.39 \n",
" 1283.12,1073.17 1281.29,1073.95 1279.44,1074.74 1277.58,1075.54 1275.72,1076.35 1273.85,1077.16 1271.97,1077.98 1270.08,1078.81 1268.18,1079.65 1266.27,1080.5 \n",
" 1264.35,1081.36 1262.43,1082.22 1260.49,1083.09 1258.55,1083.98 1256.59,1084.87 1254.63,1085.77 1252.65,1086.68 1250.67,1087.6 1248.68,1088.52 1246.67,1089.46 \n",
" 1244.66,1090.41 1242.63,1091.37 1240.6,1092.33 1238.55,1093.31 1236.5,1094.3 1234.43,1095.29 1232.36,1096.3 1230.27,1097.32 1228.17,1098.35 1226.06,1099.39 \n",
" 1223.94,1100.44 1221.8,1101.5 1219.66,1102.57 1217.5,1103.66 1215.34,1104.75 1213.16,1105.86 1210.96,1106.98 1208.76,1108.11 1206.54,1109.25 1204.32,1110.4 \n",
" 1202.07,1111.57 1199.82,1112.75 1197.55,1113.94 1195.28,1115.14 1192.98,1116.36 1190.68,1117.59 1188.36,1118.83 1186.03,1120.09 1183.68,1121.36 1181.32,1122.64 \n",
" 1178.95,1123.94 1176.56,1125.25 1174.16,1126.58 1171.74,1127.92 1169.31,1129.27 1166.86,1130.64 1164.4,1132.02 1161.93,1133.42 1159.44,1134.83 1156.93,1136.26 \n",
" 1154.41,1137.7 1151.87,1139.16 1149.32,1140.64 1146.75,1142.13 1144.17,1143.64 1141.56,1145.16 1138.95,1146.7 1136.31,1148.26 1133.66,1149.83 1130.99,1151.42 \n",
" 1128.31,1153.03 1125.61,1154.65 1122.89,1156.29 1120.16,1157.94 1117.41,1159.61 1114.64,1161.3 1111.86,1163 1109.05,1164.72 1106.23,1166.45 1103.4,1168.21 \n",
" 1100.54,1169.98 1097.66,1171.77 1094.77,1173.58 1091.85,1175.41 1088.92,1177.26 1085.96,1179.13 1082.99,1181.02 1079.99,1182.93 1076.97,1184.86 1073.93,1186.81 \n",
" 1070.87,1188.78 1067.79,1190.77 1064.69,1192.79 1061.56,1194.82 1058.41,1196.87 1055.24,1198.95 1052.04,1201.04 1048.82,1203.16 1045.58,1205.3 1042.31,1207.45 \n",
" 1039.02,1209.63 1035.7,1211.83 1032.37,1214.04 1029,1216.28 1025.61,1218.54 1022.2,1220.81 1018.76,1223.11 1015.29,1225.42 1011.8,1227.75 1008.29,1230.1 \n",
" 1004.75,1232.47 1001.18,1234.85 997.587,1237.25 993.968,1239.67 990.322,1242.1 986.65,1244.55 982.951,1247.01 979.225,1249.48 975.473,1251.97 971.694,1254.47 \n",
" 967.888,1256.98 964.055,1259.51 960.195,1262.04 956.308,1264.58 952.393,1267.14 948.452,1269.7 944.483,1272.27 940.486,1274.84 936.462,1277.42 932.411,1280.01 \n",
" 928.333,1282.6 924.227,1285.19 920.093,1287.79 915.932,1290.38 911.743,1292.98 907.527,1295.57 903.284,1298.17 899.013,1300.75 894.715,1303.34 890.389,1305.92 \n",
" 886.036,1308.49 881.656,1311.05 877.248,1313.61 872.813,1316.15 868.351,1318.69 863.862,1321.21 859.346,1323.71 854.803,1326.2 850.234,1328.68 845.637,1331.13 \n",
" 841.014,1333.57 836.364,1335.98 831.685,1338.38 826.979,1340.75 822.246,1343.09 817.487,1345.41 812.702,1347.68 807.892,1349.92 803.057,1352.12 798.199,1354.28 \n",
" 793.318,1356.38 788.415,1358.43 783.49,1360.43 778.544,1362.36 773.579,1364.23 768.594,1366.04 763.591,1367.78 758.57,1369.45 753.533,1371.04 748.479,1372.56 \n",
" 743.411,1373.99 738.329,1375.34 733.234,1376.61 728.126,1377.79 723.007,1378.88 717.878,1379.87 712.74,1380.77 707.593,1381.57 702.439,1382.27 697.279,1382.86 \n",
" 692.114,1383.36 686.945,1383.74 681.772,1384.02 676.598,1384.18 671.423,1384.24 666.249,1384.18 661.076,1384 655.905,1383.71 650.739,1383.29 645.578,1382.76 \n",
" 640.423,1382.1 635.276,1381.32 630.138,1380.41 625.01,1379.38 619.893,1378.22 614.789,1376.93 609.7,1375.51 604.626,1373.97 599.568,1372.29 594.529,1370.47 \n",
" 589.51,1368.53 584.512,1366.45 579.536,1364.23 574.584,1361.89 569.658,1359.4 564.759,1356.78 559.888,1354.02 555.048,1351.13 550.239,1348.1 545.463,1344.93 \n",
" 540.721,1341.62 536.016,1338.18 531.349,1334.6 526.722,1330.88 522.135,1327.03 517.59,1323.05 513.089,1318.95 508.632,1314.73 504.221,1310.4 499.857,1305.96 \n",
" 495.54,1301.41 491.273,1296.77 487.056,1292.03 482.891,1287.21 478.777,1282.3 474.716,1277.3 470.709,1272.24 466.757,1267.1 462.86,1261.89 459.019,1256.62 \n",
" 455.235,1251.3 451.508,1245.92 447.84,1240.48 444.23,1235.01 440.679,1229.49 437.188,1223.93 433.757,1218.35 430.386,1212.73 427.076,1207.08 423.828,1201.41 \n",
" 420.64,1195.73 417.514,1190.03 414.45,1184.32 411.448,1178.6 408.508,1172.88 405.63,1167.16 402.814,1161.45 400.061,1155.74 397.369,1150.04 394.739,1144.35 \n",
" 392.17,1138.68 389.664,1133.03 387.218,1127.41 384.834,1121.81 382.51,1116.24 380.246,1110.7 378.043,1105.2 375.899,1099.74 373.814,1094.32 371.787,1088.95 \n",
" 369.818,1083.62 367.906,1078.34 366.051,1073.11 364.252,1067.94 362.508,1062.83 360.818,1057.78 359.182,1052.79 357.598,1047.86 356.066,1043.01 354.585,1038.22 \n",
" 353.154,1033.5 351.771,1028.86 350.439,1024.28 349.155,1019.77 347.919,1015.32 346.73,1010.94 345.588,1006.63 344.492,1002.37 343.441,998.189 342.435,994.069 \n",
" 341.472,990.014 340.553,986.024 339.676,982.098 338.841,978.237 338.047,974.441 337.293,970.708 336.579,967.039 335.905,963.433 335.269,959.89 334.67,956.41 \n",
" 334.109,952.992 333.584,949.635 333.096,946.34 332.642,943.106 332.223,939.932 331.839,936.818 331.487,933.763 331.169,930.767 330.883,927.828 330.628,924.948 \n",
" 330.404,922.123 330.211,919.355 330.047,916.642 329.913,913.983 329.807,911.379 329.73,908.827 329.68,906.327 329.656,903.879 329.66,901.481 329.689,899.132 \n",
" 329.743,896.832 329.822,894.579 329.925,892.374 330.051,890.213 330.201,888.098 330.373,886.026 330.568,883.996 330.783,882.007 331.02,880.059 331.277,878.15 \n",
" 331.554,876.278 331.851,874.443 332.166,872.644 332.5,870.878 332.852,869.147 333.222,867.45 333.61,865.787 334.016,864.156 334.438,862.557 334.878,860.989 \n",
" 335.334,859.452 335.806,857.945 336.294,856.467 336.799,855.018 337.318,853.596 337.853,852.203 338.403,850.835 338.967,849.495 339.546,848.179 340.14,846.889 \n",
" 340.747,845.623 341.367,844.38 342.002,843.161 342.649,841.964 343.309,840.79 343.982,839.637 344.668,838.505 345.366,837.393 346.076,836.301 346.798,835.228 \n",
" 347.531,834.174 348.276,833.139 349.032,832.121 349.799,831.121 350.577,830.137 351.365,829.169 352.164,828.218 352.973,827.282 353.792,826.36 354.621,825.454 \n",
" 355.46,824.561 356.308,823.682 357.166,822.815 358.032,821.962 358.908,821.121 359.792,820.292 360.686,819.474 361.587,818.667 362.497,817.872 363.416,817.086 \n",
" 364.342,816.311 365.276,815.545 366.219,814.789 367.17,814.042 368.129,813.305 369.095,812.576 370.069,811.856 371.052,811.144 372.041,810.44 373.038,809.744 \n",
" 374.043,809.056 375.055,808.375 376.075,807.701 377.101,807.033 378.135,806.372 379.176,805.718 380.224,805.069 381.279,804.427 382.34,803.79 383.409,803.158 \n",
" 384.484,802.532 385.567,801.911 386.656,801.294 387.751,800.683 388.853,800.075 389.962,799.472 391.077,798.873 392.198,798.277 393.326,797.686 394.46,797.097 \n",
" 395.601,796.513 396.748,795.931 397.901,795.352 399.06,794.776 400.225,794.203 401.397,793.632 402.575,793.064 403.758,792.498 404.948,791.934 406.144,791.372 \n",
" 407.346,790.812 408.554,790.254 409.768,789.697 410.988,789.141 412.214,788.587 413.446,788.035 414.683,787.483 415.927,786.932 417.177,786.382 418.432,785.832 \n",
" 419.694,785.284 420.961,784.735 422.234,784.187 423.513,783.639 424.798,783.092 426.089,782.544 427.386,781.996 428.689,781.448 429.998,780.9 431.312,780.352 \n",
" 432.633,779.803 433.959,779.253 435.291,778.703 436.63,778.152 437.974,777.6 439.324,777.047 440.68,776.493 442.042,775.938 443.41,775.382 444.784,774.824 \n",
" 446.164,774.265 447.55,773.704 448.942,773.141 450.34,772.577 451.745,772.011 453.155,771.443 454.572,770.873 455.994,770.301 457.423,769.727 458.858,769.15 \n",
" 460.299,768.571 461.746,767.99 463.2,767.405 464.66,766.819 466.126,766.229 467.599,765.637 469.078,765.041 470.564,764.443 472.055,763.842 473.554,763.237 \n",
" 475.059,762.629 476.57,762.018 478.088,761.403 479.613,760.785 481.144,760.163 482.682,759.537 484.227,758.908 485.779,758.275 487.337,757.638 488.902,756.996 \n",
" 490.474,756.351 492.054,755.702 493.64,755.048 495.233,754.39 496.834,753.727 498.441,753.06 500.056,752.389 501.678,751.713 503.307,751.032 504.944,750.346 \n",
" 506.588,749.655 508.24,748.959 509.899,748.258 511.566,747.551 513.24,746.839 514.922,746.122 516.612,745.398 518.31,744.67 520.015,743.935 521.729,743.195 \n",
" 523.45,742.448 525.18,741.696 526.917,740.937 528.663,740.173 530.417,739.402 532.18,738.624 533.95,737.84 535.73,737.049 537.517,736.252 539.314,735.448 \n",
" 541.119,734.637 542.932,733.819 544.755,732.993 546.586,732.161 548.427,731.321 550.276,730.474 552.135,729.619 554.003,728.757 555.88,727.886 557.767,727.008 \n",
" 559.663,726.122 561.569,725.227 563.484,724.325 565.409,723.414 567.344,722.494 569.289,721.566 571.244,720.629 573.209,719.684 575.184,718.729 577.17,717.765 \n",
" 579.166,716.792 581.173,715.81 583.19,714.818 585.218,713.816 587.257,712.805 589.307,711.783 591.367,710.752 593.439,709.711 595.523,708.659 597.618,707.597 \n",
" 599.724,706.524 601.842,705.441 603.971,704.346 606.113,703.241 608.266,702.124 610.432,700.997 612.61,699.857 614.8,698.706 617.002,697.544 619.218,696.369 \n",
" 621.445,695.183 623.686,693.984 625.94,692.773 628.207,691.549 630.487,690.313 632.78,689.064 635.087,687.802 637.408,686.527 639.743,685.238 642.091,683.936 \n",
" 644.453,682.62 646.83,681.291 649.221,679.947 651.627,678.59 654.047,677.218 656.482,675.832 658.932,674.431 661.397,673.015 663.877,671.585 666.373,670.139 \n",
" \n",
" \"/>\n",
"<circle clip-path=\"url(#clip7802)\" cx=\"909.935\" cy=\"902.766\" r=\"14\" fill=\"#00a8cb\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
"</svg>\n"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Main\n",
"#\n",
"tf = 6.6632868593231301896996820305\n",
"tspan = (0.0, tf)\n",
"x0 = [2.00861986087484313650940188,0]\n",
"mu = 1\n",
"p = [mu]\n",
"t0 = 0.;\n",
"tspan = (t0,tf)\n",
"println(\"x0 = $x0, p = $p, tspan = $tspan\")\n",
"prob = ODEProblem(vdp,x0,tspan,p)\n",
"sol = solve(prob)\n",
"plot(sol,vars=(1,2), xlabel = \"x_1\", ylabel = \"x_2\", legend = false)\n",
"for x01 in -2:0.4:0 #4.5:4.5\n",
" x0 = [x01,0]\n",
" prob = ODEProblem(vdp,x0,tspan,p)\n",
" sol = solve(prob)#,force_dtmin=true)# \n",
" plot!(sol,vars=(1,2), xlabel = \"x_1\", ylabel = \"x_2\", legend = false) \n",
"end\n",
"for x02 in 2:1:4\n",
" x0 = [0.,x02]\n",
" prob = ODEProblem(vdp,x0,tspan,p)\n",
" sol = solve(prob)#solve(prob,Tsit5(),reltol=1e-8,abstol=1e-8)\n",
" plot!(sol,vars=(1,2), xlabel = \"x_1\", ylabel = \"x_2\", legend = false)\n",
"end\n",
"plot!([0], [0], seriestype=:scatter) # point visualisation\n",
"plot!(xlims = (-2.5,5))\n",
" \n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La solution périodique est ici ce qu'on appelle un **cycle limite**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Modèle de Lorentz\n",
"## Chaos\n",
"$$(IVP)\\left\\{\\begin{array}{l}\n",
"\\dot{x}_1(t)=-\\sigma x_1(t)+\\sigma x_2(t)\\\\\n",
"\\dot{x}_2(t)=-x_1(t)x_3(t)+rx_1(t)-x_2(t)\\\\\n",
"\\dot{x}_3(t)=x_1(t)x_2(t)-bx_3(t)\\\\\n",
"x_1(0)=-8\\\\\n",
"x_2(0)=8\\\\\n",
"x_3(0)=r-1\n",
"\\end{array}\\right.\n",
"$$\n",
"avec $\\sigma=10, r=28, b=8/3$.\n",
"\n",
"Calculer et visualisé la solution de ce problème\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"lorentz (generic function with 1 method)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function lorentz(x,p,t)\n",
"# Lorentz model\n",
"# second member of the IVP\n",
"# x : state\n",
"# real(3)\n",
"# p : parameter vector\n",
"# t : time, variable not use here\n",
"# real\n",
"# Output\n",
"# xpoint : vector of velocity\n",
"# same as x\n",
"# To complete\n",
" sigma = p[1]; rho = p[2]; beta = p[3];\n",
" xpoint = similar(x)\n",
" xpoint[1] = sigma*(x[2]-x[1])\n",
" xpoint[2] = x[1]*(rho-x[3]) - x[2]\n",
" xpoint[3] = x[1]*x[2] - beta*x[3]\n",
" return xpoint \n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"xpoint = [160.0, -16.0, -136.0]\n"
]
}
],
"source": [
"# test de la fonction lorent!\n",
"sigma = 10.; rho = 28.; beta = 8/3;\n",
"p = [sigma rho beta]\n",
"#x0 = [1.1,0.0,0.0]\n",
"x0 = [-8, 8, rho-1]\n",
"xpoint = x0\n",
"xpoint = lorentz(x0,p,0)\n",
"println(\"xpoint = $xpoint\")"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
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" 1121.31,636.081 1158.42,663.474 1191.9,688.562 1222.16,711.491 1249.6,732.421 1274.56,751.524 1297.36,768.976 1318.28,784.932 1337.59,799.533 1355.51,812.904 \n",
" 1372.26,825.154 1388.03,836.375 1402.99,846.642 1417.3,856.019 1431.1,864.558 1444.53,872.3 1457.68,879.273 1470.69,885.497 1483.63,890.985 1496.59,895.742 \n",
" 1509.67,899.768 1522.92,903.052 1536.42,905.579 1550.21,907.33 1564.35,908.28 1578.88,908.401 1593.84,907.66 1609.25,906.017 1625.14,903.429 1641.52,899.851 \n",
" 1658.38,895.237 1675.71,889.541 1693.49,882.715 1711.69,874.718 1730.26,865.5 1749.13,855.015 1768.21,843.232 1787.41,830.134 1806.59,815.719 1825.61,799.999 \n",
" 1844.32,783.001 1862.55,764.775 1880.09,745.407 1896.7,725.003 1912.14,703.701 1926.18,681.675 1938.58,659.128 1949.12,636.299 1957.58,613.459 1963.76,590.914 \n",
" 1967.44,568.996 1968.51,548.02 1966.88,528.31 1962.48,510.161 1955.32,493.836 1945.46,479.557 1933,467.512 1918.12,457.852 1901.03,450.693 1882.01,446.085 \n",
" 1861.33,443.941 1839.31,444.156 1816.24,446.603 1792.42,451.122 1768.13,457.529 1743.66,465.609 1719.25,475.119 1695.18,485.789 1671.65,497.399 1648.81,509.775 \n",
" 1626.79,522.734 1605.7,536.114 1585.63,549.77 1566.65,563.58 1548.8,577.441 1532.08,591.27 1516.5,605.004 1502.06,618.592 1488.73,632 1476.47,645.204 \n",
" 1465.27,658.183 1455.07,670.924 1445.84,683.417 1437.54,695.659 1430.11,707.648 1423.53,719.393 1417.73,730.892 1412.68,742.15 1408.34,753.17 1404.67,763.955 \n",
" 1401.62,774.509 1399.18,784.833 1397.3,794.929 1395.96,804.8 1395.13,814.445 1394.79,823.863 1394.92,833.054 1395.5,842.018 1396.52,850.754 1397.98,859.26 \n",
" 1399.86,867.531 1402.16,875.562 1404.87,883.348 1407.99,890.881 1411.52,898.154 1415.46,905.156 1419.81,911.881 1424.6,918.319 1429.82,924.458 1435.5,930.286 \n",
" 1441.64,935.788 1448.26,940.948 1455.38,945.745 1463.01,950.161 1471.18,954.172 1479.9,957.753 1489.2,960.878 1499.1,963.516 1509.64,965.635 1520.83,967.196 \n",
" 1532.71,968.157 1545.28,968.475 1558.57,968.099 1572.6,966.976 1587.39,965.051 1602.94,962.261 1619.27,958.552 1636.34,953.877 1654.18,948.137 1672.8,941.236 \n",
" 1692.17,933.088 1712.26,923.615 1733.01,912.748 1754.33,900.428 1776.11,886.604 1798.22,871.234 1820.52,854.287 1842.83,835.737 1864.94,815.571 1886.68,793.815 \n",
" 1907.8,770.573 1927.95,745.953 1946.81,720.108 1964.04,693.24 1979.33,665.597 1992.39,637.475 2002.92,609.22 2010.63,581.221 2015.27,553.92 2016.58,527.802 \n",
" 2014.34,503.401 2008.57,481.151 1999.33,461.352 1986.76,444.249 1971.01,430.036 1952.32,418.856 1930.92,410.8 1907.13,405.905 1881.3,404.159 1853.81,405.495 \n",
" 1825.1,409.798 1795.63,416.722 1765.84,425.839 1736.08,436.82 1706.67,449.352 1677.89,463.134 1649.96,477.881 1623.07,493.322 1597.37,509.2 1572.96,525.274 \n",
" 1549.92,541.398 1528.29,557.479 1508.05,573.422 1489.21,589.152 1471.75,604.609 1455.64,619.752 1440.82,634.554 1427.26,649.006 1414.87,663.117 1403.6,676.896 \n",
" 1393.38,690.342 1384.15,703.468 1375.84,716.287 1368.38,728.811 1361.72,741.053 1355.79,753.024 1350.55,764.736 1345.94,776.202 1341.91,787.432 1338.4,798.433 \n",
" 1335.4,809.215 1332.85,819.784 1330.72,830.146 1328.99,840.308 1327.62,850.273 1326.59,860.045 1325.87,869.625 1325.44,879.016 1325.28,888.219 1325.38,897.238 \n",
" 1325.73,906.073 1326.31,914.725 1327.13,923.196 1328.18,931.486 1329.45,939.594 1330.93,947.519 1332.63,955.261 1334.55,962.821 1336.69,970.196 1339.06,977.385 \n",
" 1341.66,984.387 1344.51,991.199 1347.6,997.817 1350.96,1004.24 1354.58,1010.46 1358.49,1016.47 1362.7,1022.27 1367.23,1027.85 1372.1,1033.21 1377.33,1038.34 \n",
" 1382.93,1043.21 1388.94,1047.84 1395.38,1052.19 1402.28,1056.25 1409.66,1060.02 1417.56,1063.46 1426.01,1066.56 1435.05,1069.29 1444.72,1071.63 1455.06,1073.54 \n",
" 1466.1,1074.99 1477.89,1075.92 1490.48,1076.3 1503.9,1076.07 1518.2,1075.18 1533.43,1073.56 1549.6,1071.16 1566.76,1067.9 1584.97,1063.67 1604.29,1058.38 \n",
" 1624.76,1051.9 1646.4,1044.13 1669.2,1034.95 1693.14,1024.23 1718.18,1011.86 1744.24,997.692 1771.26,981.601 1799.13,963.45 1827.72,943.102 1856.86,920.52 \n",
" 1886.3,895.581 1915.73,868.184 1944.79,838.316 1973.1,806.051 2000.23,771.553 2025.68,735.074 2048.93,696.951 2069.41,657.613 2086.5,617.574 2099.59,577.483 \n",
" 2108.21,538.22 2112.02,500.523 2110.75,465.063 2104.26,432.463 2092.52,403.293 2075.62,378.074 2053.75,357.276 2027.24,341.32 1996.5,330.576 1962.1,325.333 \n",
" 1924.86,325.182 1885.61,329.57 1845.05,338.031 1803.83,350.054 1762.56,365.087 1721.76,382.534 1681.92,401.753 1643.46,422.06 1606.7,442.896 1571.79,464.03 \n",
" 1538.85,485.165 1507.94,506.057 1479.09,526.51 1452.3,546.383 1427.53,565.589 1404.7,584.091 1383.69,601.906 1364.4,619.04 1346.74,635.499 1330.59,651.33 \n",
" 1315.83,666.576 1302.34,681.279 1290.02,695.478 1278.76,709.211 1268.45,722.511 1259.02,735.41 1250.36,747.939 1242.39,760.123 1235.03,771.99 1228.19,783.563 \n",
" 1221.79,794.862 1215.79,805.901 1210.1,816.694 1204.69,827.251 1199.48,837.582 1194.42,847.692 1189.47,857.588 1184.57,867.271 1179.69,876.745 1174.8,886.011 \n",
" 1169.85,895.071 1164.81,903.923 1159.65,912.566 1154.33,920.998 1148.81,929.215 1143.07,937.212 1137.07,944.984 1130.79,952.523 1124.19,959.823 1117.26,966.874 \n",
" 1109.95,973.665 1102.23,980.182 1094.09,986.41 1085.48,992.333 1076.37,997.93 1066.74,1003.18 1056.55,1008.06 1045.77,1012.54 1034.37,1016.58 1022.32,1020.16 \n",
" 1009.6,1023.22 996.174,1025.72 982.025,1027.61 967.133,1028.83 951.477,1029.32 935.044,1029.02 917.853,1027.86 899.896,1025.76 881.162,1022.6 861.664,1018.28 \n",
" 841.437,1012.7 820.539,1005.74 799.051,997.326 777.075,987.347 754.736,975.713 732.182,962.334 709.584,947.123 687.135,929.995 665.016,910.93 643.497,889.923 \n",
" 622.914,866.963 603.598,842.099 585.873,815.444 570.057,787.173 556.459,757.526 545.387,726.805 537.137,695.375 532.002,663.664 530.265,632.166 532.092,601.472 \n",
" 537.486,572.078 546.404,544.403 558.747,518.826 574.361,495.688 593.042,475.287 614.531,457.886 638.514,443.705 664.626,432.927 692.447,425.694 721.507,422.012 \n",
" 751.336,421.514 781.523,423.934 811.7,429.002 841.542,436.436 870.768,445.939 899.138,457.196 926.458,469.88 952.576,483.648 977.375,498.218 1000.79,513.425 \n",
" 1022.79,529.082 1043.36,545.023 1062.51,561.105 1080.26,577.209 1096.64,593.24 1111.69,609.124 1125.49,624.812 1138.09,640.268 1149.56,655.457 1159.97,670.363 \n",
" 1169.38,684.973 1177.86,699.28 1185.48,713.278 1192.3,726.966 1198.37,740.346 1203.76,753.424 1208.52,766.208 1212.7,778.704 1216.34,790.92 1219.49,802.863 \n",
" 1222.19,814.54 1224.46,825.958 1226.35,837.126 1227.88,848.05 1229.09,858.738 1229.99,869.198 1230.62,879.436 1230.98,889.458 1231.1,899.269 1230.97,908.877 \n",
" 1230.62,918.285 1230.05,927.5 1229.28,936.527 1228.3,945.37 1227.13,954.035 1225.76,962.524 1224.19,970.843 1222.42,978.994 1220.45,986.98 1218.27,994.806 \n",
" 1215.87,1002.47 1213.26,1009.99 1210.43,1017.35 1207.36,1024.55 1204.03,1031.61 1200.45,1038.52 1196.59,1045.27 1192.43,1051.88 1187.97,1058.34 1183.17,1064.64 \n",
" 1178.03,1070.79 1172.51,1076.77 1166.6,1082.59 1160.26,1088.24 1153.47,1093.72 1146.19,1099 1138.41,1104.09 1130.07,1108.97 1121.14,1113.61 1111.59,1118.01 \n",
" 1101.38,1122.13 1090.46,1125.94 1078.79,1129.43 1066.33,1132.55 1053.06,1135.26 1038.9,1137.51 1023.79,1139.25 1007.67,1140.42 990.498,1140.94 972.237,1140.73 \n",
" 952.853,1139.67 932.324,1137.67 910.637,1134.59 887.785,1130.32 863.769,1124.69 838.6,1117.56 812.31,1108.78 785.006,1098.22 756.757,1085.61 727.677,1070.69 \n",
" 697.937,1053.24 667.768,1033.08 637.463,1010.07 607.371,984.115 577.904,955.152 549.531,923.165 522.782,888.174 498.221,850.26 476.321,809.755 457.778,767.121 \n",
" 443.238,722.879 433.235,677.623 428.193,632.019 428.423,586.808 434.125,542.805 445.39,500.897 462.194,462.046 484.403,427.286 511.588,397.422 543.039,372.771 \n",
" 578.086,353.541 616.051,339.8 656.253,331.481 698.001,328.373 740.6,330.129 783.349,336.26 825.541,346.14 866.614,359.089 906.276,374.513 944.242,391.838 \n",
" 980.293,410.554 1014.27,430.213 1046.1,450.429 1075.75,470.881 1103.27,491.309 1128.76,511.515 1152.27,531.362 1173.88,550.769 1193.72,569.676 1211.89,588.04 \n",
" 1228.52,605.829 1243.71,623.027 1257.58,639.633 1270.25,655.661 1281.83,671.135 1292.44,686.07 1302.17,700.49 1311.12,714.414 1319.37,727.863 1327.02,740.856 \n",
" 1334.14,753.411 1340.82,765.546 1347.12,777.276 1353.12,788.617 1358.87,799.582 1364.43,810.181 1369.85,820.421 1375.17,830.308 1380.45,839.85 1385.72,849.05 \n",
" 1391.03,857.913 1396.42,866.44 1401.93,874.634 1407.61,882.492 1413.47,890.01 1419.55,897.183 1425.88,904.003 1432.49,910.462 1439.42,916.551 1446.69,922.258 \n",
" 1454.34,927.57 1462.41,932.471 1470.91,936.944 1479.88,940.966 1489.35,944.512 1499.34,947.555 1509.89,950.064 1521.02,952.006 1532.76,953.343 1545.14,954.036 \n",
" 1558.18,954.043 1571.9,953.32 1586.31,951.817 1601.44,949.47 1617.31,946.213 1633.9,941.981 1651.23,936.708 1669.27,930.329 1687.98,922.777 1707.34,913.986 \n",
" 1727.27,903.891 1747.73,892.425 1768.62,879.535 1789.84,865.207 1811.25,849.369 1832.67,831.976 1853.94,813.024 1874.83,792.548 1895.12,770.622 1914.56,747.361 \n",
" 1932.87,722.918 1949.77,697.487 1964.94,671.3 1978.03,644.631 1988.74,617.804 1996.84,591.228 2002.07,565.299 2004.23,540.394 2003.17,516.874 1998.83,495.08 \n",
" 1991.18,475.339 1980.27,457.958 1966.23,443.227 1949.22,431.42 1929.5,422.787 1907.4,417.294 1883.32,414.793 1857.65,415.159 1830.76,418.227 1803.01,423.793 \n",
" 1774.76,431.612 1746.34,441.397 1718.08,452.824 1690.3,465.526 1663.29,479.165 1637.18,493.572 1612.12,508.529 1588.23,523.839 1565.58,539.334 1544.25,554.871 \n",
" 1524.27,570.334 1505.65,585.635 1488.36,600.713 1472.37,615.532 1457.62,630.077 1444.08,644.32 1431.7,658.254 1420.43,671.877 1410.2,685.192 1400.96,698.201 \n",
" 1392.64,710.913 1385.2,723.338 1378.57,735.487 1372.7,747.373 1367.54,759.004 1363.03,770.39 1359.13,781.539 1355.79,792.458 1352.98,803.155 1350.67,813.635 \n",
" 1348.8,823.902 1347.37,833.961 1346.33,843.815 1345.67,853.468 1345.37,862.922 1345.41,872.178 1345.78,881.237 1346.46,890.099 1347.43,898.763 1348.7,907.229 \n",
" 1350.25,915.495 1352.08,923.561 1354.2,931.425 1356.61,939.086 1359.3,946.539 1362.29,953.781 1365.58,960.807 1369.17,967.613 1373.08,974.192 1377.32,980.54 \n",
" 1381.9,986.648 1386.84,992.509 1392.17,998.113 1397.89,1003.45 1404.03,1008.5 1410.62,1013.26 1417.67,1017.7 1425.22,1021.82 1433.28,1025.58 1441.9,1028.97 \n",
" 1451.11,1031.97 1460.94,1034.53 1471.42,1036.63 1482.6,1038.24 1494.51,1039.3 1507.18,1039.77 1520.65,1039.6 1534.97,1038.74 1550.12,1037.13 1566.16,1034.72 \n",
" 1583.15,1031.41 1601.14,1027.11 1620.15,1021.71 1640.21,1015.11 1661.31,1007.23 1683.42,997.951 1706.51,987.174 1730.52,974.793 1755.36,960.699 1780.95,944.782 \n",
" 1807.17,926.931 1833.88,907.046 1860.9,885.112 1887.96,861.05 1914.76,834.825 1940.97,806.476 1966.22,776.119 1990.11,743.943 2012.2,710.21 2032.04,675.26 \n",
" 2049.14,639.504 2062.95,603.429 2073,567.708 2078.96,533.05 2080.57,500.038 2077.66,469.209 2070.15,441.063 2058.07,416.053 2041.52,394.596 2020.69,377.063 \n",
" 1995.88,363.787 1967.47,355.055 1935.93,351.09 1901.99,351.509 1866.34,355.836 1829.59,363.674 1792.28,374.598 1754.92,388.149 1717.98,403.835 1681.85,421.134 \n",
" 1646.9,439.492 1613.42,458.431 1581.55,477.74 1551.39,497.166 1523.03,516.492 1496.49,535.541 1471.79,554.182 1448.91,572.324 1427.78,589.92 1408.31,606.963 \n",
" 1390.41,623.468 1374.02,639.422 1359.03,654.85 1345.34,669.783 1332.85,684.246 1321.47,698.269 1311.11,711.879 1301.69,725.103 1293.11,737.969 1285.29,750.503 \n",
" 1278.16,762.731 1271.63,774.672 1265.65,786.345 1260.14,797.765 1255.06,808.946 1250.35,819.901 1245.95,830.64 1241.81,841.171 1237.88,851.502 1234.13,861.637 \n",
" 1230.51,871.581 1226.99,881.341 1223.54,890.919 1220.13,900.318 1216.74,909.543 1213.32,918.594 1209.85,927.474 1206.31,936.182 1202.67,944.719 1198.9,953.087 \n",
" 1194.99,961.285 1190.92,969.313 1186.65,977.171 1182.16,984.855 1177.44,992.365 1172.45,999.697 1167.18,1006.85 1161.59,1013.81 1155.65,1020.59 1149.35,1027.16 \n",
" 1142.66,1033.53 1135.54,1039.69 1127.97,1045.61 1119.92,1051.3 1111.34,1056.73 1102.22,1061.88 1092.5,1066.74 1082.16,1071.28 1071.15,1075.46 1059.44,1079.27 \n",
" 1046.99,1082.66 1033.76,1085.59 1019.71,1088 1004.81,1089.84 989.014,1091.05 972.303,1091.55 954.641,1091.27 936.019,1090.14 916.451,1088.06 895.889,1084.91 \n",
" 874.312,1080.55 851.728,1074.84 828.175,1067.63 803.722,1058.79 778.47,1048.17 752.549,1035.64 726.118,1021.06 699.37,1004.29 672.525,985.174 645.83,963.596 \n",
" 619.535,939.545 594.059,912.955 569.85,883.809 547.352,852.187 527.008,818.265 509.255,782.315 494.526,744.703 483.252,705.893 475.858,666.444 472.766,627.012 \n",
" 474.24,588.357 480.341,551.213 491.066,516.227 506.314,483.981 525.888,454.994 549.49,429.724 576.728,408.563 607.109,391.84 640.044,379.821 674.879,372.51 \n",
" 710.992,369.508 747.8,370.498 784.778,375.119 821.463,382.973 857.451,393.62 892.396,406.578 926.015,421.326 958.086,437.37 988.482,454.436 1017.13,472.217 \n",
" 1043.99,490.442 1069.05,508.881 1092.31,527.344 1113.82,545.682 1133.65,563.79 1151.89,581.593 1168.62,599.028 1183.92,616.064 1197.9,632.68 1210.65,648.862 \n",
" 1222.26,664.602 1232.83,679.901 1242.44,694.763 1251.19,709.203 1259.14,723.235 1266.4,736.872 1273.02,750.127 1279.07,763.014 1284.62,775.546 1289.72,787.735 \n",
" 1294.44,799.594 1298.82,811.135 1302.93,822.369 1306.8,833.307 1310.48,843.956 1314,854.326 1317.39,864.422 1320.7,874.252 1323.94,883.821 1327.15,893.135 \n",
" 1330.37,902.2 1333.61,911.019 1336.91,919.595 1340.28,927.931 1343.75,936.028 1347.34,943.886 1351.08,951.507 1354.97,958.888 1359.06,966.03 1363.36,972.93 \n",
" 1367.89,979.585 1372.69,985.99 1377.76,992.14 1383.13,998.027 1388.84,1003.64 1394.9,1008.98 1401.34,1014.02 1408.2,1018.76 1415.5,1023.18 1423.28,1027.26 \n",
" 1431.56,1030.98 1440.39,1034.33 1449.79,1037.26 1459.8,1039.77 1470.47,1041.8 1481.82,1043.33 1493.9,1044.3 1506.76,1044.68 1520.42,1044.42 1534.92,1043.46 \n",
" 1550.29,1041.73 1566.6,1039.17 1583.87,1035.69 1602.15,1031.2 1621.46,1025.61 1641.78,1018.82 1663.13,1010.73 1685.49,1001.24 1708.82,990.22 1733.08,977.565 \n",
" 1758.23,963.16 1784.13,946.943 1810.69,928.756 1837.73,908.463 1865.06,885.983 1892.44,861.288 1919.56,834.404 1946.1,805.409 1971.65,774.439 1995.78,741.678 \n",
" 2018.03,707.368 2037.87,671.813 2054.91,635.505 2068.6,599.018 2078.45,562.927 2084.08,527.814 2085.21,494.264 2081.64,462.869 2073.29,434.223 2060.16,408.927 \n",
" 2042.36,387.587 2020.12,370.784 1993.91,358.619 1964.31,351.024 1931.88,347.895 1897.2,349.036 1860.84,354.151 1823.38,362.853 1785.39,374.66 1747.46,388.994 \n",
" 1710.17,405.205 1673.86,422.854 1638.8,441.535 1605.22,460.859 1573.32,480.494 1543.21,500.162 1514.98,519.644 1488.64,538.774 1464.16,557.444 1441.44,575.599 \n",
" 1420.46,593.198 1401.16,610.226 1383.43,626.69 1367.19,642.603 1352.34,657.983 1338.78,672.853 1326.43,687.241 1315.18,701.184 1304.93,714.717 1295.6,727.869 \n",
" 1287.09,740.667 1279.33,753.136 1272.23,765.3 1265.74,777.179 1259.77,788.792 1254.26,800.153 1249.15,811.276 1244.38,822.171 1239.89,832.85 1235.65,843.32 \n",
" 1231.61,853.588 1227.73,863.661 1223.98,873.545 1220.31,883.243 1216.7,892.759 1213.1,902.095 1209.48,911.252 1205.82,920.231 1202.08,929.036 1198.26,937.666 \n",
" 1194.31,946.121 1190.22,954.402 1185.96,962.508 1181.5,970.437 1176.83,978.187 1171.9,985.755 1166.71,993.138 1161.22,1000.33 1155.41,1007.33 1149.25,1014.13 \n",
" 1142.73,1020.73 1135.79,1027.1 1128.43,1033.25 1120.59,1039.15 1112.26,1044.8 1103.4,1050.18 1093.98,1055.26 1083.95,1060.03 1073.29,1064.46 1061.95,1068.52 \n",
" 1049.91,1072.17 1037.12,1075.36 1023.55,1078.06 1009.16,1080.21 993.912,1081.76 977.806,1082.64 960.792,1082.79 942.826,1082.1 923.882,1080.49 903.951,1077.84 \n",
" 883.04,1074.06 861.176,1069 838.402,1062.56 814.778,1054.6 790.382,1044.98 765.31,1033.55 739.672,1020.16 713.624,1004.75 687.384,987.127 661.208,967.123 \n",
" 635.383,944.635 610.232,919.624 586.108,892.121 563.401,862.218 542.529,830.079 523.947,795.929 508.141,760.062 495.6,722.868 486.675,684.953 481.707,646.906 \n",
" 480.955,609.305 484.581,572.724 492.655,537.738 505.15,504.918 521.946,474.833 542.826,448.051 567.48,425.135 595.5,406.638 626.286,392.658 659.204,383.059 \n",
" 693.679,377.718 729.166,376.436 765.158,378.934 801.177,384.853 836.782,393.757 871.563,405.132 905.159,418.427 937.371,433.315 968.055,449.441 997.097,466.469 \n",
" 1024.42,484.106 1049.98,502.098 1073.77,520.236 1095.82,538.353 1116.19,556.323 1134.97,574.061 1152.24,591.489 1168.05,608.565 1182.51,625.262 1195.71,641.558 \n",
" 1207.74,657.442 1218.69,672.906 1228.63,687.949 1237.67,702.577 1245.86,716.802 1253.31,730.64 1260.08,744.101 1266.25,757.2 1271.86,769.947 1276.99,782.355 \n",
" 1281.69,794.435 1286.01,806.2 1290,817.661 1293.72,828.827 1297.2,839.711 1300.49,850.32 1303.61,860.662 1306.6,870.743 1309.48,880.57 1312.29,890.149 \n",
" 1315.05,899.487 1317.78,908.587 1320.53,917.457 1323.3,926.099 1326.12,934.517 1329.01,942.712 1331.99,950.687 1335.07,958.443 1338.28,965.981 1341.63,973.301 \n",
" 1345.15,980.403 1348.86,987.287 1352.77,993.95 1356.91,1000.39 1361.29,1006.6 1365.95,1012.58 1370.89,1018.32 1376.15,1023.81 1381.74,1029.05 1387.71,1034.03 \n",
" 1394.07,1038.73 1400.85,1043.14 1408.08,1047.25 1415.81,1051.04 1424.05,1054.49 1432.84,1057.57 1442.22,1060.27 1452.24,1062.53 1462.92,1064.35 1474.32,1065.67 \n",
" 1486.47,1066.45 1499.4,1066.66 1513.17,1066.24 1527.84,1065.12 1543.44,1063.23 1560.03,1060.51 1577.63,1056.87 1596.28,1052.22 1615.99,1046.46 1636.79,1039.48 \n",
" 1658.68,1031.19 1681.66,1021.45 1705.72,1010.17 1730.78,997.242 1756.82,982.478 1783.77,965.708 1811.51,946.8 1839.87,925.657 1868.64,902.221 1897.54,876.464 \n",
" 1926.26,848.397 1954.42,818.065 1981.6,785.549 2007.34,750.972 2031.26,714.629 2052.71,676.946 2071.1,638.395 2085.86,599.505 2096.53,560.858 2102.72,523.09 \n",
" 2104.11,486.892 2100.45,453.01 2091.59,422.244 2077.43,395.436 2058.21,373.132 2034.38,355.572 2006.41,342.893 1974.84,335.117 1940.23,332.151 1903.17,333.782 \n",
" 1864.31,339.685 1824.33,349.415 1783.96,362.413 1743.85,378.021 1704.44,395.618 1666.13,414.661 1629.25,434.672 1594.05,455.233 1560.71,475.991 1529.33,496.656 \n",
" 1499.93,517 1472.52,536.862 1447.09,556.161 1423.56,574.847 1401.87,592.892 1381.93,610.28 1363.64,627.016 1346.9,643.119 1331.61,658.627 1317.65,673.587 \n",
" 1304.91,688.03 1293.28,701.997 1282.66,715.525 1272.96,728.648 1264.08,741.396 1255.93,753.799 1248.44,765.882 1241.52,777.666 1235.08,789.172 1229.07,800.414 \n",
" 1223.42,811.408 1218.08,822.165 1212.99,832.696 1208.12,843.01 1203.4,853.112 1198.79,863.009 1194.24,872.703 1189.71,882.196 1185.15,891.489 1180.55,900.584 \n",
" 1175.86,909.481 1171.05,918.18 1166.1,926.679 1160.98,934.975 1155.65,943.066 1150.08,950.947 1144.24,958.612 1138.11,966.055 1131.65,973.269 1124.84,980.246 \n",
" 1117.65,986.975 1110.05,993.444 1102.01,999.638 1093.5,1005.54 1084.48,1011.13 1074.93,1016.39 1064.81,1021.29 1054.08,1025.81 1042.73,1029.91 1030.71,1033.57 \n",
" 1017.99,1036.73 1004.54,1039.35 990.35,1041.37 975.382,1042.75 959.618,1043.41 943.04,1043.29 925.646,1042.32 907.456,1040.44 888.447,1037.52 868.615,1033.45 \n",
" 847.981,1028.11 826.593,1021.38 804.523,1013.17 781.869,1003.36 758.753,991.844 735.324,978.533 711.756,963.329 688.247,946.139 665.021,926.877 642.286,905.547 \n",
" 620.371,882.147 599.65,856.698 580.484,829.289 563.226,800.08 548.219,769.3 535.794,737.25 526.273,704.302 519.969,670.895 517.183,637.543 518.169,604.854 \n",
" 522.975,573.445 531.555,543.783 543.807,516.286 559.574,491.329 578.642,469.242 600.741,450.31 625.548,434.774 652.679,422.828 681.699,414.625 712.113,410.244 \n",
" 743.399,409.353 775.101,411.601 806.814,416.69 838.184,424.306 868.905,434.123 898.719,445.802 927.417,458.992 954.84,473.328 980.865,488.49 1005.42,504.297 \n",
" 1028.47,520.549 1050.02,537.071 1070.07,553.71 1088.65,570.34 1105.78,586.863 1121.53,603.203 1135.97,619.312 1149.16,635.153 1161.18,650.694 1172.1,665.919 \n",
" 1182,680.819 1190.95,695.386 1199.01,709.618 1206.26,723.515 1212.76,737.084 1218.57,750.333 1223.75,763.27 1228.37,775.904 1232.45,788.242 1236.06,800.294 \n",
" 1239.22,812.068 1241.99,823.573 1244.39,834.817 1246.46,845.808 1248.25,856.556 1249.77,867.068 1251.05,877.353 1252.11,887.416 1252.96,897.263 1253.63,906.902 \n",
" 1254.13,916.337 1254.47,925.576 1254.66,934.624 1254.72,943.486 1254.65,952.169 1254.46,960.675 1254.16,969.011 1253.74,977.18 1253.21,985.187 1252.58,993.036 \n",
" 1251.84,1000.73 1251,1008.28 1250.06,1015.68 1249.01,1022.94 1247.84,1030.06 1246.57,1037.04 1245.18,1043.9 1243.66,1050.62 1242.02,1057.22 1240.25,1063.69 \n",
" 1238.33,1070.04 1236.26,1076.28 1234.03,1082.4 1231.64,1088.4 1229.06,1094.3 1226.28,1100.08 1223.3,1105.76 1220.1,1111.32 1216.66,1116.78 1212.96,1122.13 \n",
" 1208.99,1127.38 1204.73,1132.52 1200.14,1137.55 1195.22,1142.46 1189.94,1147.27 1184.26,1151.95 1178.16,1156.51 1171.6,1160.94 1164.56,1165.23 1156.99,1169.37 \n",
" 1148.87,1173.35 1140.14,1177.15 1130.76,1180.76 1120.69,1184.15 1109.88,1187.31 1098.26,1190.21 1085.8,1192.8 1072.43,1195.04 1058.09,1196.88 1042.74,1198.26 \n",
" 1026.3,1199.12 1008.72,1199.38 989.943,1198.97 969.968,1197.8 948.689,1195.74 926.023,1192.64 901.917,1188.36 876.348,1182.73 849.326,1175.55 820.888,1166.62 \n",
" 791.106,1155.73 760.08,1142.64 727.941,1127.11 694.852,1108.86 661.004,1087.65 626.679,1063.36 592.297,1035.63 558.337,1004.18 525.335,968.869 493.881,929.713 \n",
" 464.618,886.858 438.245,840.596 415.515,791.36 397.236,739.725 384.263,686.413 377.196,632.446 376.469,578.984 382.408,527.123 395.141,477.917 414.595,432.38 \n",
" 440.501,391.487 472.389,356.172 509.591,327.33 551.227,305.64 596.233,290.891 643.604,282.808 692.41,281.003 741.8,284.942 790.992,293.944 839.284,307.185 \n",
" 886.042,323.695 930.786,342.572 973.292,363.271 1013.39,385.18 1050.95,407.773 1085.94,430.614 1118.37,453.353 1148.29,475.73 1175.86,497.573 1201.18,518.749 \n",
" 1224.39,539.179 1245.63,558.841 1265.05,577.724 1282.81,595.825 1299.04,613.151 1313.89,629.717 1327.49,645.55 1339.96,660.683 1351.44,675.157 1362.04,689.007 \n",
" 1371.88,702.263 1381.05,714.954 1389.65,727.106 1397.77,738.741 1405.49,749.881 1412.89,760.543 1420.06,770.743 1427.05,780.495 1433.92,789.805 1440.73,798.679 \n",
" 1447.52,807.121 1454.36,815.133 1461.28,822.714 1468.33,829.865 1475.55,836.581 1482.99,842.859 1490.68,848.687 1498.65,854.053 1506.93,858.943 1515.55,863.341 \n",
" 1524.53,867.228 1533.9,870.586 1543.69,873.392 1553.92,875.624 1564.6,877.256 1575.76,878.261 1587.4,878.601 1599.53,878.241 1612.17,877.145 1625.3,875.275 \n",
" 1638.93,872.595 1653.03,869.066 1667.59,864.652 1682.58,859.313 1697.98,853.016 1713.73,845.744 1729.77,837.451 1746.05,828.095 1762.47,817.651 1778.95,806.11 \n",
" 1795.37,793.48 1811.6,779.788 1827.53,765.074 1842.98,749.399 1857.81,732.837 1871.81,715.481 1884.82,697.441 1896.67,678.862 1907.17,659.933 1916.11,640.849 \n",
" 1923.32,621.813 1928.63,603.032 1931.93,584.723 1933.12,567.108 1932.13,550.414 1928.92,534.878 1923.49,520.742 1915.84,508.254 1906.06,497.58 1894.29,488.784 \n",
" 1880.69,481.933 1865.45,477.062 1848.76,474.172 1830.81,473.228 1811.82,474.166 1792.03,476.885 1771.67,481.251 1751.01,487.098 1730.29,494.241 1709.67,502.526 \n",
" 1689.34,511.782 1669.43,521.852 1650.1,532.586 1631.46,543.849 1613.59,555.515 1596.58,567.469 1580.47,579.607 1565.3,591.839 1551.07,604.083 1537.81,616.283 \n",
" 1525.51,628.409 1514.16,640.43 1503.75,652.315 1494.25,664.041 1485.63,675.588 1477.89,686.94 1470.97,698.088 1464.86,709.024 1459.53,719.749 1454.93,730.257 \n",
" 1451.04,740.543 1447.83,750.605 1445.26,760.442 1443.32,770.049 1441.98,779.425 1441.22,788.565 1441.03,797.465 1441.37,806.121 1442.23,814.527 1443.61,822.678 \n",
" 1445.49,830.563 1447.85,838.176 1450.7,845.512 1454.04,852.562 1457.87,859.317 1462.19,865.767 1467,871.897 1472.32,877.693 1478.13,883.137 1484.45,888.212 \n",
" 1491.28,892.895 1498.63,897.165 1506.51,900.997 1514.94,904.37 1523.93,907.256 1533.5,909.628 1543.65,911.452 1554.42,912.693 1565.79,913.314 1577.79,913.276 \n",
" 1590.41,912.534 1603.66,911.044 1617.55,908.757 1632.05,905.631 1647.14,901.645 1662.81,896.721 1679.06,890.782 1695.87,883.764 1713.19,875.611 1730.97,866.28 \n",
" 1749.12,855.738 1767.55,843.962 1786.15,830.942 1804.78,816.677 1823.3,801.177 1841.54,784.464 1859.32,766.569 1876.44,747.543 1892.75,727.514 1907.98,706.635 \n",
" 1921.87,685.074 1934.17,663.022 1944.65,640.696 1953.11,618.332 1959.37,596.192 1963.27,574.56 1964.67,553.745 1963.46,534.077 1959.55,515.91 1952.9,499.578 \n",
" 1943.61,485.269 1931.84,473.129 1917.76,463.266 1901.55,455.748 1883.43,450.603 1863.61,447.823 1842.37,447.358 1819.96,449.123 1796.69,452.99 1772.87,458.795 \n",
" 1748.81,466.322 1724.79,475.299 1701.01,485.497 1677.7,496.704 1655.02,508.725 1633.12,521.38 1612.12,534.503 1592.11,547.946 1573.16,561.572 1555.28,575.263 \n",
" 1538.52,588.929 1522.89,602.523 1508.38,616 1494.96,629.318 1482.6,642.448 1471.29,655.363 1460.99,668.045 1451.65,680.485 1443.25,692.678 1435.74,704.627 \n",
" 1429.06,716.338 1423.19,727.807 1418.06,739.036 1413.65,750.028 1409.92,760.786 1406.83,771.313 1404.35,781.609 1402.44,791.677 1401.08,801.518 1400.25,811.131 \n",
" 1399.91,820.516 1400.04,829.669 1400.64,838.59 1401.69,847.279 1403.18,855.734 1405.11,863.953 1407.47,871.929 1410.26,879.658 1413.47,887.132 1417.11,894.342 \n",
" 1421.17,901.277 1425.65,907.926 1430.56,914.275 1435.92,920.315 1441.74,926.034 1448.03,931.418 1454.82,936.449 1462.11,941.109 1469.93,945.375 1478.29,949.224 \n",
" 1487.21,952.628 1496.73,955.56 1506.85,957.988 1517.59,959.881 1528.98,961.198 1541.05,961.897 1553.83,961.929 1567.34,961.244 1581.6,959.788 1596.62,957.503 \n",
" 1612.4,954.329 1628.93,950.201 1646.21,945.053 1664.24,938.814 1682.98,931.409 1702.41,922.767 1722.46,912.862 1743.07,901.596 1764.18,888.864 1785.68,874.592 \n",
" 1807.44,858.732 1829.32,841.27 1851.13,822.216 1872.66,801.612 1893.67,779.529 1913.88,756.066 1933.01,731.351 1950.73,705.543 1966.73,678.85 1980.75,651.61 \n",
" 1992.44,624.175 2001.46,596.901 2007.56,570.149 2010.54,544.284 2010.24,519.676 2006.58,496.699 1999.52,475.734 1989.08,457.166 1975.35,441.383 1958.46,428.75 \n",
" 1938.75,419.288 1916.57,412.969 1892.3,409.751 1866.3,409.537 1838.95,412.176 1810.6,417.465 1781.64,425.146 1752.43,434.908 1723.36,446.388 1694.8,459.178 \n",
" 1666.96,473.029 1640.03,487.704 1614.17,502.961 1589.5,518.59 1566.13,534.41 1544.11,550.269 1523.49,566.046 1504.26,581.649 1486.41,597.016 1469.86,612.113 \n",
" 1454.6,626.914 1440.58,641.397 1427.76,655.554 1416.07,669.383 1405.46,682.886 1395.86,696.072 1387.21,708.952 1379.44,721.537 1372.5,733.839 1366.33,745.87 \n",
" 1360.88,757.64 1356.08,769.16 1351.9,780.44 1348.28,791.489 1345.19,802.313 1342.59,812.921 1340.44,823.317 1338.71,833.507 1337.37,843.495 1336.4,853.284 \n",
" 1335.77,862.877 1335.45,872.276 1335.45,881.482 1335.74,890.498 1336.3,899.324 1337.14,907.96 1338.24,916.406 1339.59,924.662 1341.2,932.726 1343.06,940.599 \n",
" 1345.17,948.278 1347.54,955.761 1350.17,963.047 1353.06,970.132 1356.23,977.013 1359.68,983.684 1363.42,990.142 1367.47,996.381 1371.84,1002.39 1376.55,1008.18 \n",
" 1381.61,1013.72 1387.06,1019.01 1392.9,1024.03 1399.16,1028.78 1405.86,1033.25 1413.04,1037.4 1420.72,1041.23 1428.93,1044.72 1437.72,1047.84 1447.1,1050.56 \n",
" 1457.12,1052.86 1467.82,1054.69 1479.23,1056.02 1491.39,1056.81 1504.35,1057.01 1518.11,1056.57 1532.75,1055.44 1548.31,1053.53 1564.84,1050.78 1582.4,1047.1 \n",
" 1601,1042.39 1620.66,1036.57 1641.39,1029.53 1663.18,1021.16 1686.02,1011.36 1709.87,999.995 1734.71,986.946 1760.47,972.085 1787.06,955.342 1814.33,936.564 \n",
" 1842.12,915.606 1870.24,892.378 1898.43,866.848 1926.36,839.037 1953.69,809.023 1980.01,776.94 2004.86,742.978 2027.72,707.382 2048.13,670.494 2065.59,632.862 \n",
" 2079.51,595.078 2089.41,557.74 2094.89,521.453 2095.66,486.832 2091.53,454.498 2082.41,425.082 2068.32,399.22 2049.36,377.558 2025.79,360.709 1998.13,348.735 \n",
" 1967.01,341.552 1933.03,339.031 1896.8,340.943 1858.92,346.955 1820.01,356.638 1780.68,369.456 1741.53,384.778 1703.16,401.92 1665.88,420.454 1629.98,439.942 \n",
" 1595.68,459.987 1563.16,480.249 1532.55,500.45 1503.9,520.373 1477.22,539.86 1452.46,558.815 1429.51,577.197 1408.34,594.967 1388.88,612.12 1371.02,628.671 \n",
" 1354.67,644.637 1339.72,660.043 1326.08,674.915 1313.63,689.289 1302.29,703.204 1291.95,716.698 1282.51,729.801 1273.88,742.542 1265.98,754.948 1258.74,767.044 \n",
" 1252.07,778.851 1245.91,790.387 1240.18,801.668 1234.83,812.708 1229.78,823.517 1225,834.104 1220.43,844.479 1216.03,854.648 1211.76,864.617 1207.57,874.39 \n",
" 1203.44,883.971 1199.32,893.363 1195.17,902.566 1190.97,911.581 1186.67,920.409 1182.26,929.049 1177.71,937.501 1172.98,945.764 1168.06,953.835 1162.92,961.711 \n",
" 1157.51,969.388 1151.83,976.861 1145.84,984.123 1139.5,991.169 1132.81,997.99 1125.72,1004.58 1118.2,1010.92 1110.24,1017 1101.79,1022.8 1092.82,1028.31 \n",
" 1083.3,1033.5 1073.2,1038.36 1062.48,1042.84 1051.11,1046.93 1039.05,1050.59 1026.26,1053.77 1012.72,1056.43 998.399,1058.51 983.262,1059.97 967.29,1060.72 \n",
" 950.459,1060.69 932.751,1059.82 914.172,1058.03 894.745,1055.23 874.442,1051.3 853.267,1046.09 831.25,1039.48 808.453,1031.33 784.964,1021.53 760.905,1009.96 \n",
" 736.425,996.514 711.703,981.085 686.948,963.574 662.398,943.886 638.315,921.938 614.945,897.765 592.686,871.386 571.963,842.867 553.182,812.349 536.731,780.055 \n",
" 522.977,746.286 512.27,711.423 504.943,675.926 501.307,640.334 501.656,605.267 506.175,571.455 514.81,539.509 527.432,509.896 543.856,483.029 563.841,459.267 \n",
" 587.089,438.91 613.25,422.201 641.914,409.329 672.618,400.427 704.843,395.57 738.022,394.626 771.631,397.087 805.227,402.586 838.422,410.764 870.883,421.254 \n",
" 902.336,433.687 932.56,447.689 961.393,462.882 988.723,478.899 1014.46,495.515 1038.6,512.537 1061.12,529.782 1082.05,547.094 1101.42,564.344 1119.28,581.429 \n",
" 1135.69,598.275 1150.72,614.833 1164.46,631.074 1176.98,646.967 1188.38,662.5 1198.73,677.668 1208.1,692.467 1216.58,706.899 1224.24,720.967 1231.15,734.679 \n",
" 1237.38,748.046 1243,761.08 1248.06,773.79 1252.61,786.188 1256.71,798.282 1260.39,810.083 1263.71,821.599 1266.69,832.842 1269.39,843.819 1271.83,854.54 \n",
" 1274.06,865.014 1276.1,875.249 1277.99,885.253 1279.73,895.031 1281.34,904.589 1282.85,913.934 1284.28,923.07 1285.64,932.004 1286.95,940.741 1288.22,949.287 \n",
" 1289.46,957.644 1290.7,965.818 1291.93,973.813 1293.16,981.631 1294.42,989.276 1295.7,996.752 1297.03,1004.06 1298.4,1011.21 1299.83,1018.19 1301.32,1025.02 \n",
" 1302.89,1031.69 1304.55,1038.2 1306.29,1044.56 1308.15,1050.77 1310.11,1056.83 1312.2,1062.73 1314.43,1068.48 1316.81,1074.08 1319.34,1079.53 1322.05,1084.83 \n",
" 1324.95,1089.97 1328.05,1094.96 1331.38,1099.79 1334.94,1104.45 1338.75,1108.95 1342.84,1113.27 1347.23,1117.42 1351.94,1121.39 1356.99,1125.16 1362.41,1128.74 \n",
" 1368.23,1132.1 1374.48,1135.23 1381.19,1138.13 1388.4,1140.77 1396.14,1143.13 1404.46,1145.2 1413.38,1146.95 1422.97,1148.35 1433.27,1149.37 1444.32,1149.97 \n",
" 1456.19,1150.12 1468.92,1149.74 1482.58,1148.81 1497.21,1147.24 1512.88,1144.97 1529.65,1141.92 1547.55,1138.03 1566.64,1133.19 1587,1127.28 1608.72,1120.16 \n",
" 1631.85,1111.7 1656.4,1101.75 1682.4,1090.14 1709.8,1076.72 1738.58,1061.31 1768.66,1043.73 1799.94,1023.79 1832.32,1001.3 1865.61,976.132 1899.55,948.15 \n",
" 1933.82,917.139 1968.01,883.004 2001.65,845.767 2034.21,805.572 2065.07,762.681 2093.55,717.476 2118.89,670.458 2140.27,622.245 2156.86,573.667 2168.04,525.857 \n",
" 2173.25,479.819 2172.09,436.49 2164.35,396.739 2149.95,361.377 2129,331.148 2101.79,306.737 2068.75,288.763 2030.5,277.782 1988,273.745 1942.41,275.884 \n",
" 1894.68,283.611 1845.74,296.258 1796.4,313.071 1747.42,333.216 1699.5,355.774 1653.23,379.745 1609.07,404.337 1567.2,429.202 1527.78,453.911 1490.89,478.119 \n",
" 1456.58,501.561 1424.82,524.057 1395.55,545.511 1368.62,565.907 1343.86,585.298 1321.19,603.669 1300.45,621.085 1281.49,637.622 1264.15,653.354 1248.3,668.347 \n",
" 1233.78,682.665 1220.47,696.365 1208.26,709.499 1197.01,722.116 1186.61,734.258 1176.97,745.964 1167.96,757.278 1159.49,768.228 1151.49,778.836 1143.86,789.123 \n",
" 1136.54,799.104 1129.45,808.791 1122.53,818.191 1115.7,827.307 1108.91,836.144 1102.12,844.699 1095.27,852.971 1088.33,860.956 1081.25,868.646 1074,876.033 \n",
" 1066.53,883.108 1058.8,889.858 1050.78,896.269 1042.44,902.326 1033.75,908.008 1024.69,913.297 1015.22,918.168 1005.34,922.597 995.018,926.553 984.235,930.008 \n",
" 972.979,932.927 961.234,935.275 948.99,937.016 936.25,938.11 923.011,938.509 909.273,938.157 895.05,937.002 880.363,934.991 865.242,932.073 849.728,928.194 \n",
" 833.871,923.303 817.73,917.348 801.375,910.279 784.883,902.048 768.335,892.653 751.859,882.038 735.599,870.161 719.702,857.001 704.325,842.567 689.626,826.893 \n",
" 675.774,810.042 662.94,792.101 651.302,773.187 641.046,753.441 632.361,733.033 625.444,712.157 620.469,691.041 617.52,669.947 616.702,649.135 618.082,628.852 \n",
" 621.695,609.34 627.536,590.83 635.564,573.545 645.704,557.698 657.84,543.496 671.823,531.135 687.465,520.802 704.547,512.613 722.828,506.51 742.063,502.471 \n",
" 762.015,500.449 782.458,500.373 803.18,502.147 823.975,505.648 844.652,510.73 865.028,517.222 884.933,524.925 904.214,533.641 922.779,543.259 940.555,553.64 \n",
" 957.478,564.647 973.498,576.156 988.577,588.055 1002.69,600.245 1015.83,612.636 1027.99,625.151 1039.2,637.727 1049.47,650.31 1058.82,662.853 1067.29,675.322 \n",
" 1074.89,687.688 1081.67,699.926 1087.66,712.014 1092.88,723.935 1097.37,735.671 1101.16,747.211 1104.28,758.545 1106.74,769.668 1108.59,780.574 1109.84,791.26 \n",
" 1110.52,801.72 1110.65,811.951 1110.24,821.951 1109.31,831.715 1107.86,841.239 1105.9,850.52 1103.46,859.553 1100.52,868.332 1097.1,876.852 1093.2,885.109 \n",
" 1088.83,893.093 1083.97,900.796 1078.62,908.209 1072.77,915.323 1066.4,922.123 1059.52,928.597 1052.11,934.725 1044.16,940.49 1035.66,945.868 1026.6,950.838 \n",
" 1016.95,955.372 1006.73,959.443 995.911,963.019 984.483,966.064 972.427,968.534 959.73,970.385 946.388,971.567 932.404,972.029 917.786,971.714 902.55,970.563 \n",
" 886.717,968.514 870.317,965.5 853.385,961.453 835.964,956.3 818.113,950.01 799.911,942.515 781.448,933.701 762.83,923.479 744.18,911.786 725.642,898.582 \n",
" 707.374,883.853 689.555,867.61 672.381,849.887 656.065,830.746 640.839,810.272 626.953,788.575 614.673,765.79 604.228,742.114 595.796,717.834 589.597,693.221 \n",
" 585.808,668.556 584.562,644.121 585.949,620.21 590.013,597.12 596.755,575.158 606.131,554.635 618.054,535.871 632.393,519.19 648.969,504.917 667.507,493.143 \n",
" 687.7,483.882 709.252,477.15 731.875,472.923 755.289,471.137 779.221,471.686 803.404,474.427 827.58,479.175 851.497,485.706 874.911,493.753 897.627,503.088 \n",
" 919.542,513.557 940.551,524.964 960.569,537.131 979.53,549.893 997.387,563.106 1014.11,576.641 1029.68,590.386 1044.12,604.245 1057.45,618.141 1069.71,632.01 \n",
" 1080.94,645.805 1091.16,659.484 1100.42,673.02 1108.75,686.389 1116.21,699.571 1122.84,712.549 1128.67,725.309 1133.76,737.841 1138.13,750.138 1141.83,762.197 \n",
" 1144.88,774.019 1147.33,785.604 1149.21,796.951 1150.55,808.062 1151.37,818.937 1151.69,829.578 1151.52,839.986 1150.89,850.161 1149.81,860.104 1148.29,869.817 \n",
" 1146.34,879.299 1143.98,888.55 1141.2,897.57 1138,906.357 1134.39,914.909 1130.35,923.224 1125.88,931.297 1120.97,939.122 1115.61,946.694 1109.79,954.003 \n",
" 1103.49,961.041 1096.72,967.795 1089.43,974.255 1081.63,980.403 1073.29,986.223 1064.38,991.696 1054.89,996.8 1044.78,1001.51 1034.03,1005.79 1022.62,1009.6 \n",
" 1010.54,1012.92 997.759,1015.69 984.26,1017.87 970.025,1019.41 955.049,1020.25 939.353,1020.35 922.903,1019.63 905.676,1017.99 887.669,1015.33 868.899,1011.56 \n",
" 849.403,1006.58 829.236,1000.31 808.476,992.662 787.218,983.534 765.58,972.842 743.696,960.498 721.722,946.414 699.835,930.504 678.203,912.726 657.044,893.101 \n",
" 636.68,871.6 617.43,848.251 599.604,823.141 583.506,796.413 569.429,768.272 557.663,738.98 548.487,708.858 542.174,678.286 538.988,647.702 539.176,617.604 \n",
" 542.812,588.519 549.874,560.899 560.298,535.147 573.966,511.618 590.706,490.626 610.289,472.437 632.43,457.275 656.789,445.317 682.973,436.696 710.533,431.484 \n",
" 739.042,429.451 768.099,430.336 797.334,433.9 826.417,439.89 855.059,448.035 883.009,458.048 910.057,469.626 936.032,482.448 960.802,496.186 984.269,510.645 \n",
" 1006.39,525.659 1027.15,541.056 1046.53,556.688 1064.54,572.427 1081.21,588.166 1096.57,603.822 1110.66,619.331 1123.56,634.652 1135.31,649.746 1145.99,664.586 \n",
" 1155.65,679.158 1164.37,693.449 1172.2,707.451 1179.19,721.158 1185.42,734.57 1190.92,747.689 1195.77,760.521 1200,773.072 1203.67,785.348 1206.81,797.354 \n",
" 1209.46,809.098 1211.66,820.585 1213.45,831.822 1214.84,842.817 1215.87,853.576 1216.56,864.106 1216.94,874.413 1217.01,884.502 1216.8,894.379 1216.31,904.048 \n",
" 1215.55,913.516 1214.53,922.787 1213.27,931.865 1211.75,940.755 1210,949.46 1208,957.984 1205.75,966.329 1203.24,974.499 1200.48,982.495 1197.45,990.32 \n",
" 1194.15,997.973 1190.56,1005.46 1186.68,1012.77 1182.49,1019.92 1177.97,1026.89 1173.11,1033.69 1167.89,1040.31 1162.28,1046.75 1156.27,1053.01 1149.82,1059.07 \n",
" 1142.92,1064.92 1135.53,1070.57 1127.62,1075.99 1119.17,1081.17 1110.14,1086.09 1100.49,1090.73 1090.19,1095.08 1079.18,1099.1 1067.44,1102.76 1054.92,1106.01 \n",
" 1041.59,1108.82 1027.39,1111.13 1012.3,1112.89 996.269,1114.03 979.26,1114.49 961.288,1114.2 942.295,1113.06 922.218,1110.95 901.024,1107.75 878.706,1103.31 \n",
" 855.281,1097.51 830.795,1090.19 805.321,1081.21 778.956,1070.4 751.825,1057.6 724.081,1042.63 695.9,1025.33 667.481,1005.52 639.069,983.161 611.054,958.076 \n",
" 583.856,930.153 557.913,899.381 533.681,865.853 511.637,829.763 492.271,791.407 476.095,751.183 463.637,709.591 455.443,667.233 451.932,624.863 453.302,583.308 \n",
" 459.7,543.322 471.154,505.608 487.568,470.823 508.727,439.574 534.293,412.422 563.809,389.879 596.695,372.409 632.259,360.203 669.775,352.93 708.563,350.322 \n",
" 748.005,352.048 787.538,357.702 826.657,366.811 864.918,378.827 901.932,393.134 937.387,409.133 971.115,426.482 1003,444.799 1032.97,463.742 1060.99,483.019 \n",
" 1087.04,502.391 1111.17,521.668 1133.44,540.711 1153.96,559.426 1172.8,577.729 1190.06,595.582 1205.85,612.959 1220.28,629.843 1233.45,646.224 1245.46,662.102 \n",
" 1256.42,677.482 1266.41,692.38 1275.54,706.816 1283.9,720.805 1291.57,734.364 1298.63,747.509 1305.14,760.257 1311.18,772.621 1316.82,784.616 1322.11,796.256 \n",
" 1327.12,807.552 1331.9,818.518 1336.5,829.162 1340.96,839.492 1345.31,849.514 1349.61,859.234 1353.88,868.657 1358.16,877.789 1362.49,886.633 1366.91,895.191 \n",
" 1371.44,903.465 1376.11,911.453 1380.95,919.155 1385.99,926.566 1391.25,933.682 1396.76,940.5 1402.55,947.012 1408.66,953.211 1415.11,959.088 1421.92,964.631 \n",
" 1429.13,969.826 1436.77,974.659 1444.86,979.108 1453.44,983.155 1462.53,986.775 1472.18,989.943 1482.41,992.628 1493.27,994.802 1504.77,996.426 1516.96,997.46 \n",
" 1529.87,997.856 1543.53,997.562 1557.98,996.524 1573.23,994.679 1589.31,991.962 1606.24,988.302 1624.02,983.626 1642.67,977.852 1662.17,970.912 1682.48,962.744 \n",
" 1703.61,953.215 1725.52,942.203 1748.16,929.608 1771.45,915.346 1795.25,899.356 1819.43,881.593 1843.78,862.034 1868.1,840.672 1892.13,817.522 1915.6,792.618 \n",
" 1938.19,766.019 1959.65,737.905 1979.52,708.509 1997.39,678.106 2012.84,647.017 2025.53,615.614 2035.11,584.319 2041.3,553.6 2043.83,523.975 2042.49,496.013 \n",
" 2037.09,470.328 2027.61,447.447 2014.24,427.699 1997.2,411.329 1976.74,398.506 1953.2,389.325 1926.92,383.806 1898.33,381.894 1867.87,383.458 1836.05,388.295 \n",
" 1803.41,396.118 1770.45,406.456 1737.58,418.852 1705.17,432.914 1673.52,448.279 1642.9,464.612 1613.52,481.606 1585.51,498.985 1558.99,516.498 1534.01,533.948 \n",
" 1510.62,551.236 1488.8,568.274 1468.53,584.989 1449.78,601.329 1432.49,617.257 1416.62,632.756 1402.08,647.826 1388.81,662.485 1376.71,676.748 1365.72,690.626 \n",
" 1355.76,704.141 1346.74,717.311 1338.6,730.155 1331.25,742.692 1324.65,754.939 1318.72,766.913 1313.39,778.63 1308.61,790.102 1304.34,801.342 1300.51,812.359 \n",
" 1297.1,823.164 1294.06,833.766 1291.36,844.17 1288.94,854.384 1286.79,864.412 1284.86,874.258 1283.13,883.926 1281.59,893.419 1280.21,902.743 1278.96,911.9 \n",
" 1277.85,920.893 1276.84,929.725 1275.92,938.399 1275.08,946.915 1274.31,955.278 1273.6,963.489 1272.93,971.552 1272.31,979.467 1271.72,987.239 1271.15,994.868 \n",
" 1270.6,1002.36 1270.07,1009.71 1269.54,1016.92 1269.01,1024.01 1268.47,1030.96 1267.93,1037.78 1267.38,1044.48 1266.81,1051.06 1266.22,1057.51 1265.6,1063.84 \n",
" 1264.96,1070.06 1264.28,1076.16 1263.56,1082.16 1262.81,1088.04 1262,1093.81 1261.15,1099.48 1260.23,1105.05 1259.26,1110.51 1258.22,1115.88 1257.11,1121.15 \n",
" 1255.91,1126.33 1254.64,1131.41 1253.27,1136.41 1251.8,1141.32 1250.22,1146.14 1248.53,1150.88 1246.71,1155.53 1244.75,1160.11 1242.65,1164.61 1240.39,1169.03 \n",
" 1237.95,1173.38 1235.33,1177.65 1232.51,1181.85 1229.48,1185.98 1226.21,1190.04 1222.68,1194.02 1218.89,1197.94 1214.8,1201.78 1210.39,1205.55 1205.64,1209.25 \n",
" 1200.51,1212.87 1194.99,1216.4 1189.03,1219.85 1182.6,1223.21 1175.67,1226.46 1168.2,1229.61 1160.14,1232.63 1151.45,1235.52 1142.08,1238.27 1131.97,1240.84 \n",
" 1121.07,1243.22 1109.33,1245.36 1096.67,1247.24 1083.04,1248.81 1068.37,1250.02 1052.59,1250.82 1035.66,1251.13 1017.48,1250.89 997.949,1249.99 976.985,1248.34 \n",
" 954.522,1245.8 930.504,1242.23 904.895,1237.43 877.67,1231.24 848.822,1223.42 818.356,1213.75 786.294,1201.96 752.715,1187.85 717.774,1171.14 681.599,1151.38 \n",
" 644.416,1128.16 606.555,1101.17 568.447,1070.15 530.628,1034.94 493.735,995.422 458.511,951.569 425.798,903.423 396.476,851.151 371.364,795.385 351.546,736.95 \n",
" 337.943,676.778 331.277,615.914 332.068,555.517 340.639,496.863 357.109,441.34 381.399,390.451 413.228,345.815 451.822,308.678 495.987,279.425 544.627,258.238 \n",
" 596.655,245.05 650.995,239.552 706.577,241.191 762.341,249.168 817.235,262.439 870.343,279.817 921.267,300.346 969.651,323.11 1015.23,347.306 1057.84,372.253 \n",
" 1097.42,397.392 1134.01,422.286 1167.76,446.621 1198.82,470.172 1227.28,492.804 1253.33,514.468 1277.14,535.136 1298.89,554.794 1318.75,573.445 1336.88,591.109 \n",
" 1353.45,607.822 1368.61,623.637 1382.51,638.614 1395.31,652.799 1407.13,666.241 1418.09,678.982 1428.3,691.059 1437.88,702.509 1446.92,713.362 1455.52,723.645 \n",
" 1463.77,733.382 1471.74,742.594 1479.51,751.292 1487.12,759.486 1494.65,767.185 1502.13,774.392 1509.63,781.113 1517.19,787.349 1524.87,793.099 1532.69,798.361 \n",
" 1540.7,803.127 1548.92,807.387 1557.37,811.127 1566.08,814.334 1575.07,816.994 1584.35,819.092 1593.94,820.611 1603.85,821.535 1614.09,821.844 1624.66,821.523 \n",
" 1635.55,820.544 1646.75,818.882 1658.27,816.515 1670.06,813.423 1682.12,809.588 1694.4,804.996 1706.87,799.635 1719.48,793.497 1732.19,786.574 1744.93,778.87 \n",
" 1757.64,770.398 1770.24,761.163 1782.62,751.183 1794.7,740.487 1806.37,729.121 1817.53,717.141 1828.07,704.618 1837.89,691.636 1846.87,678.291 1854.9,664.695 \n",
" 1861.86,650.971 1867.62,637.256 1872.12,623.691 1875.27,610.426 1876.99,597.605 1877.23,585.367 1875.96,573.842 1873.17,563.152 1868.85,553.411 1863.06,544.725 \n",
" 1855.83,537.193 1847.24,530.906 1837.39,525.945 1826.4,522.35 1814.38,520.077 1801.49,519.106 1787.87,519.404 1773.66,520.924 1759,523.607 1744.03,527.38 \n",
" 1728.88,532.158 1713.69,537.84 1698.6,544.315 1683.72,551.458 1669.18,559.176 1655.04,567.399 1641.37,576.042 1628.24,585.023 1615.7,594.269 1603.8,603.714 \n",
" 1592.58,613.296 1582.06,622.963 1572.25,632.667 1563.17,642.367 1554.82,652.031 1547.19,661.63 1540.28,671.139 1534.08,680.537 1528.57,689.805 1523.75,698.926 \n",
" 1519.6,707.884 1516.1,716.665 1513.24,725.256 1511.01,733.645 1509.39,741.822 1508.37,749.777 1507.94,757.503 1508.06,764.988 1508.75,772.218 1509.98,779.185 \n",
" 1511.74,785.879 1514.04,792.287 1516.87,798.398 1520.21,804.197 1524.07,809.671 1528.45,814.802 1533.32,819.575 1538.7,823.97 1544.58,827.97 1550.96,831.553 \n",
" 1557.83,834.701 1565.2,837.392 1573.06,839.602 1581.43,841.305 1590.29,842.476 1599.66,843.088 1609.51,843.114 1619.84,842.526 1630.64,841.296 1641.88,839.393 \n",
" 1653.55,836.789 1665.62,833.453 1678.07,829.354 1690.85,824.489 1703.93,818.825 1717.26,812.328 1730.78,804.973 1744.43,796.748 1758.14,787.65 1771.81,777.69 \n",
" 1785.37,766.889 1798.69,755.28 1811.68,742.908 1824.2,729.828 1836.13,716.107 1847.32,701.824 1857.63,687.073 1866.96,671.993 1875.17,656.731 1882.11,641.429 \n",
" 1887.66,626.234 1891.71,611.293 1894.17,596.757 1895,582.776 1894.13,569.504 1891.55,557.096 1887.27,545.71 1881.29,535.505 1873.66,526.641 1864.43,519.272 \n",
" 1853.74,513.406 1841.73,509.043 1828.56,506.19 1814.37,504.832 1799.32,504.939 1783.58,506.456 1767.29,509.315 1750.63,513.423 1733.76,518.672 1716.84,524.932 \n",
" 1700.05,532.056 1683.53,539.912 1667.38,548.424 1651.68,557.482 1636.53,566.985 1622,576.84 1608.14,586.962 1595.01,597.276 1582.64,607.713 1571.06,618.214 \n",
" 1560.28,628.728 1550.31,639.214 1541.13,649.636 1532.72,659.968 1525.1,670.189 1518.24,680.279 1512.12,690.222 1506.74,700.003 1502.06,709.607 1498.07,719.024 \n",
" 1494.76,728.241 1492.09,737.249 1490.06,746.04 1488.65,754.606 1487.84,762.941 1487.62,771.039 1487.95,778.885 1488.84,786.473 1490.27,793.793 1492.24,800.839 \n",
" 1494.75,807.598 1497.78,814.059 1501.33,820.21 1505.39,826.035 1509.97,831.519 1515.06,836.645 1520.66,841.395 1526.77,845.748 1533.39,849.685 1540.51,853.186 \n",
" 1548.15,856.228 1556.32,858.787 1565.02,860.836 1574.25,862.348 1584.02,863.293 1594.31,863.642 1605.14,863.361 1616.48,862.418 1628.33,860.778 1640.67,858.405 \n",
" 1653.48,855.261 1666.74,851.322 1680.42,846.57 1694.47,840.95 1708.88,834.415 1723.58,826.933 1738.52,818.481 1753.61,809.049 1768.78,798.637 1783.91,787.259 \n",
" 1798.91,774.936 1813.64,761.706 1827.98,747.613 1841.76,732.716 1854.83,717.085 1867.04,700.813 1878.28,684.056 1888.34,666.964 1897.04,649.697 1904.24,632.419 \n",
" 1909.78,615.301 1913.57,598.521 1915.52,582.261 1915.56,566.713 1913.64,552.073 1909.74,538.544 1903.87,526.335 1896.04,515.662 1886.34,506.677 1874.9,499.388 \n",
" 1861.9,493.836 1847.51,490.037 1831.89,487.981 1815.23,487.635 1797.71,488.941 1779.52,491.814 1760.85,496.144 1741.91,501.799 1722.91,508.62 1704.05,516.425 \n",
" 1685.49,525.09 1667.33,534.487 1649.69,544.486 1632.68,554.967 1616.37,565.819 1600.84,576.946 1586.13,588.258 1572.28,599.68 1559.32,611.144 1547.25,622.597 \n",
" 1536.06,633.992 1525.74,645.296 1516.29,656.485 1507.7,667.538 1499.93,678.437 1492.98,689.167 1486.8,699.715 1481.38,710.067 1476.69,720.216 1472.71,730.153 \n",
" 1469.42,739.873 1466.79,749.374 1464.79,758.653 1463.41,767.701 1462.62,776.512 1462.4,785.081 1462.75,793.404 1463.64,801.474 1465.07,809.282 1467.03,816.822 \n",
" 1469.5,824.082 1472.49,831.052 1475.98,837.72 1479.97,844.073 1484.46,850.097 1489.45,855.777 1494.94,861.097 1500.95,866.042 1507.47,870.594 1514.52,874.734 \n",
" 1522.11,878.437 1530.24,881.68 1538.92,884.437 1548.16,886.677 1557.96,888.37 1568.32,889.482 1579.25,889.977 1590.75,889.824 1602.82,888.991 1615.46,887.427 \n",
" 1628.68,885.084 1642.47,881.916 1656.82,877.877 1671.69,872.928 1687.05,867.027 1702.86,860.139 1719.05,852.228 1735.57,843.262 1752.32,833.211 1769.24,822.047 \n",
" 1786.23,809.767 1803.19,796.397 1819.95,781.937 1836.35,766.411 1852.21,749.871 1867.37,732.394 1881.64,714.082 1894.84,695.066 1906.79,675.501 1917.31,655.568 \n",
" 1926.19,635.475 1933.26,615.456 1938.31,595.771 1941.16,576.71 1941.73,558.577 1940,541.596 1935.96,525.966 1929.63,511.861 1921.08,499.432 1910.38,488.81 \n",
" 1897.64,480.102 1883.01,473.392 1866.67,468.742 1848.8,466.191 1829.65,465.757 1809.47,467.4 1788.57,470.869 1767.19,475.983 1745.59,482.578 1723.97,490.489 \n",
" 1702.53,499.549 1681.46,509.589 1660.9,520.438 1640.98,531.923 1621.83,543.87 1603.54,556.106 1586.18,568.541 1569.77,581.116 1554.36,593.753 1539.94,606.387 \n",
" 1526.52,618.961 1514.1,631.427 1502.67,643.749 1492.21,655.899 1482.69,667.859 1474.08,679.622 1466.35,691.186 1459.46,702.535 1453.38,713.664 1448.06,724.571 \n",
" 1443.48,735.255 1439.61,745.712 1436.4,755.941 1433.84,765.941 1431.89,775.709 1430.54,785.244 1429.75,794.544 1429.51,803.609 1429.78,812.427 1430.56,820.998 \n",
" 1431.84,829.318 1433.6,837.385 1435.86,845.194 1438.6,852.739 1441.81,860.011 1445.51,867.001 1449.68,873.696 1454.33,880.084 1459.46,886.148 1465.07,891.872 \n",
" 1471.16,897.236 1477.75,902.223 1484.84,906.817 1492.47,910.998 1500.65,914.744 1509.38,918.028 1518.7,920.821 1528.6,923.093 1539.11,924.808 1550.24,925.931 \n",
" 1562,926.42 1574.41,926.234 1587.45,925.344 1601.12,923.705 1615.46,921.246 1630.47,917.901 1646.17,913.609 1662.52,908.309 1679.52,901.949 1697.1,894.474 \n",
" 1715.22,885.839 1733.81,875.998 1752.78,864.911 1772.04,852.541 1791.46,838.854 1810.93,823.82 1830.32,807.437 1849.48,789.761 1868.17,770.827 1886.15,750.704 \n",
" 1903.18,729.495 1919.03,707.341 1933.46,684.417 1946.23,660.934 1957.12,637.141 1965.88,613.32 1972.28,589.79 1976.1,566.908 1977.12,545.077 1975.27,524.691 \n",
" 1970.58,505.999 1963.1,489.218 1952.91,474.53 1940.14,462.089 1924.94,452.016 1907.49,444.4 1888,439.3 1866.72,436.745 1843.93,436.73 1819.95,439.222 \n",
" 1795.12,444.021 1769.85,450.759 1744.41,459.194 1719.09,469.091 1694.12,480.225 1669.71,492.372 1646.03,505.32 1623.24,518.859 1601.44,532.787 1580.72,546.916 \n",
" 1561.15,561.15 1542.75,575.414 1525.54,589.628 1509.5,603.728 1494.63,617.661 1480.9,631.385 1468.3,644.87 1456.79,658.101 1446.32,671.072 1436.84,683.789 \n",
" 1428.3,696.247 1420.65,708.445 1413.84,720.386 1407.83,732.076 1402.57,743.519 1398.02,754.72 1394.13,765.682 1390.87,776.41 1388.21,786.909 1386.1,797.181 \n",
" 1384.51,807.228 1383.41,817.049 1382.78,826.648 1382.61,836.028 1382.89,845.191 1383.59,854.136 1384.71,862.864 1386.24,871.37 1388.17,879.652 1390.49,887.703 \n",
" 1393.19,895.517 1396.27,903.086 1399.72,910.401 1403.54,917.453 1407.77,924.241 1412.4,930.756 1417.45,936.988 1422.93,942.925 1428.85,948.553 1435.24,953.857 \n",
" 1442.11,958.82 1449.47,963.423 1457.36,967.644 1465.78,971.461 1474.77,974.848 1484.35,977.778 1494.56,980.22 1505.42,982.137 1516.97,983.49 1529.21,984.235 \n",
" 1542.19,984.324 1555.92,983.704 1570.42,982.318 1585.71,980.108 1601.82,977.008 1618.74,972.966 1636.44,967.93 1654.95,961.787 1674.3,954.428 1694.46,945.757 \n",
" 1715.41,935.686 1737.07,924.139 1759.36,911.05 1782.16,896.363 1805.34,880.035 1828.72,862.029 1852.11,842.322 1875.31,820.899 1898.06,797.764 1920.18,773.02 \n",
" 1941.29,746.815 1961,719.323 1978.93,690.768 1994.74,661.424 2008.1,631.612 2018.69,601.704 2026.22,572.12 2030.44,543.329 2031.1,515.848 2027.98,490.245 \n",
" 2020.99,467.039 2010.25,446.585 1995.92,429.17 1978.21,415.01 1957.37,404.248 1933.71,396.951 1907.6,393.114 1879.46,392.659 1849.78,395.433 1819.06,401.2 \n",
" 1787.77,409.546 1756.3,420.079 1725.03,432.443 1694.28,446.296 1664.34,461.318 1635.42,477.202 1607.71,493.661 1581.32,510.426 1556.36,527.258 1532.88,544.046 \n",
" 1510.89,560.696 1490.39,577.12 1471.36,593.251 1453.77,609.038 1437.57,624.45 1422.71,639.473 1409.12,654.113 1396.71,668.383 1385.44,682.286 1375.21,695.837 \n",
" 1365.96,709.051 1357.62,721.945 1350.12,734.533 1343.4,746.832 1337.39,758.856 1332.03,770.622 1327.27,782.14 1323.05,793.422 1319.34,804.478 1316.09,815.318 \n",
" 1313.26,825.95 1310.81,836.38 1308.7,846.613 1306.91,856.656 1305.4,866.51 1304.14,876.18 1303.13,885.671 1302.34,894.985 1301.76,904.126 1301.36,913.094 \n",
" 1301.14,921.893 1301.07,930.525 1301.17,938.99 1301.4,947.29 1301.78,955.429 1302.29,963.406 1302.94,971.223 1303.71,978.881 1304.61,986.382 1305.63,993.725 \n",
" 1306.78,1000.91 1308.07,1007.94 1309.48,1014.82 1311.03,1021.55 1312.73,1028.11 1314.57,1034.53 1316.57,1040.79 1318.72,1046.89 1321.05,1052.84 1323.57,1058.63 \n",
" 1326.27,1064.27 1329.18,1069.74 1332.31,1075.05 1335.68,1080.19 1339.29,1085.16 1343.17,1089.96 1347.34,1094.58 1351.81,1099.01 1356.61,1103.25 1361.77,1107.28 \n",
" 1367.3,1111.11 1373.23,1114.71 1379.61,1118.08 1386.45,1121.19 1393.79,1124.04 1401.67,1126.6 1410.13,1128.84 1419.2,1130.75 1428.93,1132.3 1439.36,1133.45 \n",
" 1450.56,1134.16 1462.56,1134.4 1475.43,1134.12 1489.22,1133.25 1503.97,1131.72 1519.76,1129.48 1536.62,1126.44 1554.62,1122.51 1573.81,1117.6 1594.22,1111.62 \n",
" 1615.87,1104.45 1638.85,1095.94 1663.22,1085.92 1688.99,1074.22 1716.14,1060.69 1744.63,1045.15 1774.35,1027.46 1805.2,1007.45 1836.99,984.951 1869.54,959.807 \n",
" 1902.61,931.86 1935.94,901.094 1969.08,867.444 2001.51,830.892 2032.65,791.554 2061.91,749.679 2088.67,705.652 2112.26,659.989 2131.99,613.344 2147.13,566.503 \n",
" 2156.9,520.386 2160.75,476.058 2158.39,434.573 2149.61,396.845 2134.39,363.665 2112.88,335.699 2085.42,313.49 2052.54,297.454 2014.92,287.883 1973.46,284.858 \n",
" 1929.13,287.719 1882.9,295.799 1835.62,308.425 1788.08,324.878 1740.97,344.39 1694.91,366.144 1650.43,389.274 1607.94,413.027 1567.64,437.047 1529.68,460.942 \n",
" 1494.14,484.391 1461.05,507.152 1430.4,529.06 1402.11,550.028 1376.05,570.046 1352.12,589.108 1330.19,607.237 1310.12,624.491 1291.76,640.924 1274.98,656.595 \n",
" 1259.63,671.56 1245.6,685.877 1232.75,699.601 1220.96,712.791 1210.1,725.497 1200.07,737.76 1190.76,749.617 1182.08,761.1 1173.94,772.237 1166.26,783.049 \n",
" 1158.94,793.556 1151.92,803.771 1145.12,813.703 1138.49,823.362 1131.96,832.753 1125.49,841.877 1119.02,850.737 1112.51,859.331 1105.92,867.656 1099.18,875.707 \n",
" 1092.27,883.476 1085.13,890.955 1077.75,898.133 1070.09,904.999 1062.12,911.537 1053.8,917.733 1045.11,923.566 1036.02,929.017 1026.5,934.062 1016.52,938.677 \n",
" 1006.07,942.835 995.12,946.502 983.654,949.644 971.656,952.221 959.116,954.193 946.028,955.514 932.388,956.136 918.2,956.008 903.469,955.076 888.207,953.285 \n",
" 872.45,950.593 856.224,946.924 839.566,942.195 822.528,936.336 805.181,929.283 787.609,920.983 769.914,911.391 752.214,900.471 734.643,888.199 717.353,874.556 \n",
" 700.509,859.534 684.283,843.144 668.834,825.453 654.403,806.532 641.23,786.476 629.534,765.414 619.518,743.507 611.366,720.95 605.245,697.969 601.303,674.824 \n",
" 599.67,651.808 600.458,629.244 603.757,607.489 609.556,586.856 617.783,567.615 628.339,550.006 641.099,534.232 655.907,520.463 672.577,508.832 690.894,499.439 \n",
" 710.615,492.346 731.464,487.582 753.14,485.142 775.355,484.919 797.868,486.724 820.436,490.396 842.841,495.768 864.89,502.669 886.415,510.923 907.272,520.35 \n",
" 927.344,530.764 946.535,541.977 964.778,553.794 982.015,566.085 998.218,578.76 1013.38,591.716 1027.49,604.86 1040.57,618.112 1052.62,631.4 1063.67,644.667 \n",
" 1073.74,657.865 1082.86,670.959 1091.08,683.921 1098.42,696.724 1104.94,709.351 1110.67,721.787 1115.65,734.023 1119.91,746.047 1123.48,757.852 1126.41,769.432 \n",
" 1128.71,780.783 1130.42,791.904 1131.56,802.795 1132.17,813.452 1132.26,823.875 1131.85,834.065 1130.94,844.021 1129.55,853.741 1127.68,863.225 1125.35,872.47 \n",
" 1122.55,881.473 1119.29,890.23 1115.58,898.738 1111.42,906.991 1106.8,914.983 1101.73,922.709 1096.19,930.159 1090.17,937.323 1083.65,944.191 1076.61,950.75 \n",
" 1069.06,956.983 1060.96,962.872 1052.3,968.396 1043.07,973.533 1033.25,978.256 1022.82,982.537 1011.77,986.346 1000.09,989.646 987.741,992.393 974.702,994.541 \n",
" 960.961,996.036 946.512,996.825 931.355,996.846 915.5,996.034 898.96,994.32 881.758,991.632 863.924,987.889 845.493,983.011 826.51,976.912 807.048,969.559 \n",
" 787.193,960.844 767.046,950.639 746.731,938.847 726.392,925.397 706.199,910.246 686.341,893.381 667.031,874.817 648.504,854.595 631.02,832.787 614.857,809.491 \n",
" 600.318,784.834 587.688,759.001 577.186,732.302 569.09,705.042 563.632,677.536 560.994,650.112 561.302,623.107 564.634,596.872 571.014,571.767 580.415,548.168 \n",
" 592.757,526.46 607.908,507.039 625.683,490.308 645.773,476.425 667.813,465.414 691.46,457.304 716.377,452.073 742.235,449.648 768.712,449.906 795.494,452.673 \n",
" 822.274,457.727 848.752,464.793 874.637,473.548 899.733,483.756 923.916,495.206 947.068,507.666 969.092,520.927 989.917,534.798 1009.49,549.114 1027.8,563.726 \n",
" 1044.82,578.511 1060.59,593.365 1075.15,608.206 1088.57,622.971 1100.85,637.608 1112.04,652.083 1122.2,666.368 1131.39,680.441 1139.65,694.284 1147.05,707.881 \n",
" 1153.62,721.223 1159.41,734.303 1164.49,747.119 1168.88,759.672 1172.63,771.967 1175.79,784.007 1178.4,795.793 1180.48,807.331 1182.06,818.624 1183.18,829.676 \n",
" 1183.86,840.492 1184.12,851.075 1183.98,861.43 1183.46,871.562 1182.57,881.474 1181.32,891.169 1179.73,900.649 1177.78,909.919 1175.49,918.978 1172.85,927.83 \n",
" 1169.87,936.474 1166.53,944.911 1162.84,953.141 1158.79,961.162 1154.38,968.973 1149.58,976.57 1144.38,983.95 1138.77,991.107 1132.72,998.035 1126.22,1004.73 \n",
" 1119.25,1011.17 1111.78,1017.35 1103.79,1023.25 1095.26,1028.87 1086.15,1034.18 1076.45,1039.15 1066.11,1043.76 1055.11,1047.99 1043.4,1051.8 1030.96,1055.15 \n",
" 1017.75,1058 1003.75,1060.29 988.929,1061.97 973.268,1062.96 956.743,1063.21 939.335,1062.64 921.03,1061.16 901.874,1058.73 881.855,1055.22 860.953,1050.49 \n",
" 839.178,1044.38 816.574,1036.78 793.217,1027.54 769.216,1016.54 744.71,1003.69 719.872,988.872 694.907,971.991 670.053,952.961 645.579,931.704 621.785,908.146 \n",
" 598.929,882.323 577.392,854.344 557.649,824.321 540.137,792.445 525.255,758.979 513.367,724.263 504.798,688.714 499.838,652.821 498.738,617.151 501.714,582.347 \n",
" 508.936,549.122 520.355,518.128 535.756,489.866 554.889,464.752 577.448,443.119 603.075,425.218 631.356,411.216 661.824,401.197 693.958,395.161 727.182,393.027 \n",
" 760.948,394.525 794.827,399.206 828.407,406.689 861.335,416.596 893.315,428.557 924.108,442.207 953.531,457.185 981.459,473.138 1007.82,489.721 1032.56,506.726 \n",
" 1055.67,523.993 1077.17,541.365 1097.09,558.707 1115.47,575.911 1132.39,592.893 1147.89,609.591 1162.07,625.969 1175.01,642.004 1186.78,657.674 1197.48,672.976 \n",
" 1207.18,687.905 1215.97,702.463 1223.91,716.654 1231.08,730.482 1237.55,743.959 1243.38,757.096 1248.64,769.905 1253.39,782.397 1257.67,794.58 1261.53,806.465 \n",
" 1265.01,818.062 1268.15,829.38 1271,840.428 1273.58,851.216 1275.94,861.752 1278.11,872.046 1280.12,882.105 1281.99,891.936 1283.74,901.543 1285.38,910.934 \n",
" 1286.95,920.113 1288.44,929.087 1289.89,937.86 1291.31,946.438 1292.71,954.826 1294.1,963.026 1295.5,971.043 1296.91,978.881 1298.36,986.542 1299.84,994.03 \n",
" 1301.37,1001.35 1302.96,1008.5 1304.63,1015.48 1306.38,1022.3 1308.21,1028.96 1310.15,1035.46 1312.2,1041.8 1314.38,1047.98 1316.69,1054 1319.15,1059.86 \n",
" 1321.78,1065.56 1324.58,1071.1 1327.57,1076.48 1330.76,1081.69 1334.18,1086.74 1337.84,1091.62 1341.75,1096.32 1345.95,1100.85 1350.44,1105.18 1355.26,1109.33 \n",
" 1360.43,1113.28 1365.97,1117.01 1371.92,1120.53 1378.3,1123.81 1385.14,1126.84 1392.49,1129.61 1400.37,1132.09 1408.83,1134.26 1417.91,1136.1 1427.65,1137.58 \n",
" 1438.1,1138.66 1449.3,1139.3 1461.32,1139.47 1474.2,1139.12 1488.02,1138.19 1502.81,1136.62 1518.64,1134.32 1535.56,1131.23 1553.63,1127.24 1572.9,1122.27 \n",
" 1593.42,1116.21 1615.22,1108.95 1638.31,1100.38 1662.77,1090.31 1688.65,1078.55 1715.94,1064.94 1744.61,1049.29 1774.56,1031.45 1805.67,1011.25 1837.77,988.543 \n",
" 1870.65,963.17 1904.04,934.989 1937.65,903.87 1971.16,869.846 2003.99,832.923 2035.54,793.195 2065.17,750.896 2092.22,706.4 2116.02,660.22 2135.9,613.012 \n",
" 2151.16,565.571 2161.07,518.833 2164.94,473.871 2162.43,431.807 2153.39,393.618 2137.83,360.126 2115.9,332.004 2087.96,309.773 2054.53,293.805 2016.34,284.322 \n",
" 1974.25,281.394 1929.29,284.574 1882.43,293.037 1834.56,306.056 1786.48,322.882 1738.9,342.737 1692.43,364.822 1647.57,388.309 1604.74,412.396 1564.16,436.671 \n",
" 1525.96,460.776 1490.21,484.397 1456.95,507.296 1426.14,529.311 1397.72,550.357 1371.56,570.421 1347.55,589.507 1325.55,607.641 1305.41,624.882 1287,641.289 \n",
" 1270.17,656.921 1254.78,671.838 1240.71,686.099 1227.81,699.761 1215.98,712.885 1205.07,725.52 1194.99,737.708 1185.63,749.487 1176.9,760.889 1168.69,771.94 \n",
" 1160.94,782.665 1153.55,793.081 1146.45,803.2 1139.57,813.035 1132.85,822.591 1126.22,831.875 1119.65,840.889 1113.08,849.633 1106.45,858.105 1099.73,866.302 \n",
" 1092.87,874.218 1085.82,881.844 1078.54,889.173 1071.02,896.192 1063.2,902.889 1055.07,909.248 1046.6,915.253 1037.74,920.882 1028.49,926.116 1018.8,930.93 \n",
" 1008.65,935.298 998.036,939.193 986.924,942.579 975.301,945.42 963.155,947.677 950.478,949.308 937.267,950.266 923.523,950.505 909.251,949.972 894.462,948.614 \n",
" 879.175,946.381 863.427,943.227 847.25,939.069 830.688,933.834 813.803,927.456 796.67,919.88 779.382,911.059 762.046,900.957 744.787,889.546 727.742,876.81 \n",
" 711.068,862.739 694.933,847.335 679.494,830.634 664.936,812.714 651.498,793.655 639.404,773.569 628.858,752.598 620.046,730.914 613.136,708.722 608.276,686.253 \n",
" 605.599,663.774 605.215,641.579 607.221,619.994 611.671,599.357 618.511,579.939 627.66,561.989 639.009,545.72 652.422,531.313 667.735,518.914 684.756,508.635 \n",
" 703.266,500.553 723.016,494.711 743.731,491.118 765.113,489.741 786.918,490.428 808.909,493.013 830.862,497.338 852.578,503.244 873.879,510.565 894.614,519.131 \n",
" 914.653,528.769 933.89,539.302 952.244,550.547 969.656,562.323 986.075,574.534 1001.48,587.087 1015.87,599.885 1029.25,612.844 1041.61,625.887 1052.98,638.952 \n",
" 1063.37,651.984 1072.82,664.94 1081.35,677.789 1089.01,690.504 1095.82,703.061 1101.84,715.442 1107.08,727.636 1111.6,739.63 1115.41,751.415 1118.56,762.984 \n",
" 1121.07,774.33 1122.97,785.449 1124.28,796.34 1125.04,807.002 1125.27,817.431 1124.98,827.625 1124.19,837.584 1122.9,847.307 1121.12,856.793 1118.87,866.037 \n",
" 1116.13,875.038 1112.93,883.79 1109.26,892.289 1105.12,900.528 1100.51,908.502 1095.44,916.202 1089.89,923.621 1083.87,930.747 1077.34,937.569 1070.29,944.073 \n",
" 1062.72,950.244 1054.61,956.062 1045.93,961.507 1036.68,966.554 1026.85,971.176 1016.4,975.344 1005.34,979.025 993.655,982.189 981.332,984.793 968.343,986.787 \n",
" 954.668,988.117 940.3,988.725 925.238,988.551 909.492,987.531 893.083,985.599 876.037,982.684 858.395,978.712 840.204,973.605 821.519,967.284 802.409,959.665 \n",
" 782.948,950.682 763.243,940.301 743.434,928.41 723.677,914.92 704.148,899.777 685.035,882.964 666.545,864.496 648.9,844.426 632.339,822.841 617.118,799.864 \n",
" 603.506,775.65 591.792,750.392 582.27,724.327 575.143,697.818 570.593,671.213 568.772,644.842 569.783,619.028 573.681,594.095 580.474,570.36 590.122,548.138 \n",
" 602.536,527.738 617.581,509.469 635.073,493.634 654.781,480.533 676.403,470.366 699.546,463.007 723.856,458.394 749.003,456.437 774.672,457.013 800.572,459.96 \n",
" 826.429,465.082 851.987,472.146 877.013,480.882 901.288,490.985 924.641,502.196 946.982,514.373 968.236,527.32 988.342,540.861 1007.26,554.84 1024.96,569.117 \n",
" 1041.45,583.575 1056.72,598.113 1070.8,612.651 1083.74,627.127 1095.6,641.497 1106.39,655.714 1116.18,669.751 1125.01,683.588 1132.94,697.208 1140.01,710.596 \n",
" 1146.27,723.742 1151.78,736.639 1156.56,749.281 1160.68,761.669 1164.15,773.803 1167.03,785.689 1169.36,797.327 1171.16,808.722 1172.46,819.875 1173.28,830.791 \n",
" 1173.65,841.472 1173.58,851.922 1173.09,862.143 1172.21,872.14 1170.94,881.914 1169.29,891.468 1167.27,900.805 1164.89,909.924 1162.13,918.828 1159,927.515 \n",
" 1155.5,935.986 1151.61,944.239 1147.33,952.272 1142.66,960.08 1137.57,967.661 1132.07,975.008 1126.13,982.115 1119.74,988.973 1112.88,995.572 1105.51,1001.9 \n",
" 1097.63,1007.95 1089.2,1013.69 1080.2,1019.12 1070.6,1024.2 1060.39,1028.91 1049.52,1033.21 1037.97,1037.09 1025.74,1040.5 1012.77,1043.4 999.045,1045.75 \n",
" 984.51,1047.47 969.145,1048.52 952.931,1048.82 935.859,1048.29 917.93,1046.86 899.153,1044.43 879.544,1040.9 859.131,1036.18 837.95,1030.15 816.044,1022.69 \n",
" 793.491,1013.75 770.399,1003.2 746.884,990.865 723.094,976.58 699.212,960.24 675.453,941.773 652.065,921.146 629.328,898.369 607.558,873.487 587.103,846.589 \n",
" 568.343,817.801 551.692,787.289 537.522,755.324 526.147,722.344 517.928,688.775 513.156,655.057 512.045,621.645 514.737,589.01 521.296,557.637 531.714,528.029 \n",
" 545.907,500.7 563.719,476.184 584.916,455.026 609.133,437.607 635.848,423.921 664.584,413.989 694.881,407.765 726.294,405.133 758.391,405.901 790.755,409.809 \n",
" 822.986,416.523 854.696,425.64 885.52,436.694 915.243,449.38 943.724,463.405 970.835,478.463 996.48,494.285 1020.59,510.634 1043.14,527.304 1064.12,544.125 \n",
" 1083.55,560.96 1101.5,577.702 1118.05,594.281 1133.26,610.63 1147.18,626.706 1159.87,642.487 1171.43,657.955 1181.93,673.094 1191.44,687.896 1200.04,702.355 \n",
" 1207.78,716.47 1214.75,730.242 1220.99,743.68 1226.57,756.793 1231.56,769.593 1236,782.09 1239.95,794.291 1243.45,806.207 1246.54,817.846 1249.27,829.216 \n",
" 1251.66,840.328 1253.75,851.189 1255.58,861.808 1257.18,872.194 1258.55,882.352 1259.73,892.289 1260.73,902.011 1261.57,911.526 1262.26,920.839 1262.83,929.955 \n",
" 1263.27,938.882 1263.61,947.625 1263.85,956.188 1264,964.576 1264.06,972.793 1264.05,980.845 1263.96,988.735 1263.8,996.467 1263.58,1004.05 1263.28,1011.48 \n",
" 1262.93,1018.76 1262.52,1025.9 1262.04,1032.91 1261.5,1039.78 1260.89,1046.51 1260.22,1053.12 1259.49,1059.61 1258.69,1065.97 1257.81,1072.21 1256.86,1078.33 \n",
" 1255.83,1084.34 1254.72,1090.24 1253.52,1096.04 1252.23,1101.72 1250.83,1107.31 1249.33,1112.79 1247.71,1118.17 1245.97,1123.46 1244.09,1128.66 1242.08,1133.76 \n",
" 1239.91,1138.77 1237.58,1143.69 1235.08,1148.53 1232.38,1153.28 1229.48,1157.95 1226.36,1162.53 1223,1167.03 1219.38,1171.45 1215.49,1175.79 1211.31,1180.04 \n",
" 1206.8,1184.21 1201.95,1188.29 1196.73,1192.29 1191.1,1196.19 1185.04,1199.99 1178.51,1203.68 1171.48,1207.26 1163.9,1210.72 1155.75,1214.04 1146.96,1217.2 \n",
" 1137.5,1220.2 1127.32,1223.02 1116.34,1225.63 1104.53,1227.99 1091.82,1230.08 1078.15,1231.83 1063.45,1233.21 1047.66,1234.15 1030.71,1234.58 1012.53,1234.43 \n",
" 993.088,1233.61 972.339,1232.02 950.155,1229.52 926.446,1225.97 901.152,1221.2 874.245,1215.02 845.731,1207.22 815.648,1197.57 784.064,1185.82 751.081,1171.71 \n",
" 716.835,1154.94 681.49,1135.21 645.255,1112.27 608.467,1085.93 571.587,1055.74 535.145,1021.39 499.743,982.722 466.053,939.762 434.816,892.685 406.844,841.833 \n",
" 383.021,787.708 364.298,730.975 351.638,672.497 345.627,613.539 346.783,555.405 355.43,499.346 371.653,446.575 395.302,398.264 425.989,355.547 463.09,319.518 \n",
" 505.74,291.216 552.789,270.883 603.037,258.212 655.382,252.842 708.808,254.236 762.383,261.673 815.256,274.252 866.663,290.892 915.961,310.433 962.835,332.171 \n",
" 1007.08,355.389 1048.54,379.445 1087.16,403.804 1122.92,428.039 1155.91,451.831 1186.26,474.967 1214.14,497.299 1239.66,518.723 1263,539.225 1284.33,558.799 \n",
" 1303.82,577.451 1321.62,595.194 1337.9,612.052 1352.8,628.059 1366.46,643.255 1379.03,657.692 1390.63,671.417 1401.39,684.469 1411.41,696.884 1420.81,708.694 \n",
" 1429.67,719.927 1438.09,730.61 1446.16,740.762 1453.96,750.405 1461.55,759.552 1469.01,768.214 1476.38,776.395 1483.71,784.101 1491.07,791.334 1498.49,798.095 \n",
" 1506.03,804.383 1513.72,810.194 1521.62,815.525 1529.74,820.364 1538.11,824.699 1546.77,828.515 1555.73,831.796 1565.01,834.524 1574.63,836.682 1584.62,838.249 \n",
" 1594.97,839.205 1605.7,839.527 1616.81,839.195 1628.31,838.176 1640.18,836.44 1652.41,833.96 1664.99,830.709 1677.9,826.664 1691.09,821.805 1704.53,816.112 \n",
" 1718.18,809.569 1731.98,802.163 1745.87,793.894 1759.79,784.766 1773.63,774.774 1787.29,763.93 1800.68,752.262 1813.67,739.813 1826.15,726.641 1838.01,712.821 \n",
" 1849.1,698.444 1859.31,683.617 1868.48,668.461 1876.49,653.116 1883.18,637.733 1888.47,622.479 1892.24,607.529 1894.42,593.053 1894.91,579.212 1893.69,566.16 \n",
" 1890.73,554.044 1886.05,543 1879.67,533.159 1871.65,524.644 1862.09,517.569 1851.08,512.037 1838.76,508.051 1825.31,505.578 1810.87,504.594 1795.62,505.057 \n",
" 1779.71,506.908 1763.32,510.073 1746.61,514.457 1729.72,519.953 1712.83,526.432 1696.09,533.753 1679.65,541.776 1663.6,550.422 1648.03,559.589 1633.03,569.176 \n",
" 1618.64,579.094 1604.95,589.261 1591.99,599.604 1579.79,610.057 1568.38,620.563 1557.77,631.075 1547.95,641.553 1538.93,651.966 1530.69,662.285 1523.23,672.489 \n",
" 1516.53,682.558 1510.57,692.476 1505.33,702.228 1500.81,711.799 1496.97,721.179 1493.79,730.356 1491.27,739.323 1489.39,748.072 1488.11,756.599 1487.43,764.891 \n",
" 1487.32,772.94 1487.78,780.739 1488.79,788.279 1490.35,795.552 1492.44,802.546 1495.07,809.251 1498.21,815.653 1501.88,821.74 1506.05,827.497 1510.74,832.907 \n",
" 1515.93,837.955 1521.62,842.622 1527.83,846.89 1534.55,850.739 1541.79,854.149 1549.56,857.096 1557.85,859.555 1566.68,861.5 1576.04,862.904 1585.93,863.734 \n",
" 1596.34,863.961 1607.27,863.551 1618.72,862.469 1630.67,860.68 1643.11,858.167 1656.01,854.881 1669.36,850.775 1683.15,845.811 1697.33,839.954 1711.85,833.178 \n",
" 1726.65,825.461 1741.67,816.791 1756.82,807.161 1772.01,796.569 1787.14,785.022 1802.1,772.532 1816.75,759.119 1831.01,744.845 1844.72,729.787 1857.69,714.032 \n",
" 1869.74,697.682 1880.71,680.853 1890.44,663.683 1898.79,646.321 1905.63,628.937 1910.84,611.715 1914.29,594.855 1915.89,578.576 1915.54,563.111 1913.18,548.71 \n",
" 1908.78,535.573 1902.42,523.834 1894.18,513.61 1884.15,504.996 1872.45,498.06 1859.2,492.845 1844.56,489.37 1828.69,487.628 1811.78,487.587 1794.03,489.19 \n",
" 1775.66,492.356 1756.89,496.972 1737.94,502.864 1718.97,509.876 1700.15,517.867 1681.64,526.701 1663.56,536.247 1646.04,546.381 1629.16,556.985 1613,567.946 \n",
" 1597.63,579.158 1583.08,590.521 1569.38,601.947 1556.57,613.405 1544.65,624.85 1533.61,636.243 1523.44,647.547 1514.13,658.732 1505.68,669.774 1498.05,680.651 \n",
" 1491.23,691.35 1485.2,701.859 1479.93,712.176 1475.39,722.294 1471.55,732.202 1468.38,741.895 1465.88,751.367 1464,760.614 1462.73,769.63 1462.05,778.41 \n",
" 1461.95,786.947 1462.41,795.234 1463.41,803.264 1464.94,811.029 1466.99,818.522 1469.54,825.728 1472.59,832.636 1476.14,839.24 1480.2,845.53 1484.77,851.495 \n",
" 1489.85,857.12 1495.45,862.39 1501.57,867.287 1508.22,871.79 1515.39,875.877 1523.1,879.522 1531.34,882.701 1540.12,885.382 1549.45,887.535 1559.34,889.132 \n",
" 1569.78,890.146 1580.81,890.539 1592.42,890.271 1604.62,889.305 1617.4,887.598 1630.76,885.109 1644.67,881.796 1659.12,877.617 1674.08,872.526 1689.51,866.479 \n",
" 1705.39,859.436 1721.64,851.402 1738.2,842.323 1754.99,832.14 1771.94,820.816 1788.93,808.336 1805.85,794.706 1822.56,779.954 1838.91,764.128 1854.75,747.301 \n",
" 1869.9,729.566 1884.17,711.036 1897.34,691.848 1909.21,672.16 1919.53,652.151 1928.11,632.043 1934.83,612.107 1939.52,592.591 1942.06,573.731 1942.34,555.754 \n",
" 1940.29,538.877 1935.91,523.308 1929.2,509.246 1920.2,496.88 1909.02,486.39 1895.77,477.945 1880.62,471.707 1863.78,467.661 1845.53,465.687 1826.12,465.718 \n",
" 1805.79,467.664 1784.78,471.412 1763.33,476.827 1741.65,483.755 1719.96,492.016 1698.47,501.41 1677.38,511.716 1656.86,522.69 1637.07,534.204 1618.06,546.169 \n",
" 1599.91,558.462 1582.68,570.973 1566.42,583.606 1551.16,596.279 1536.92,608.923 1523.7,621.483 1511.49,633.919 1500.28,646.201 1490.02,658.316 1480.68,670.255 \n",
" 1472.25,681.992 1464.69,693.52 1457.95,704.833 1452.02,715.928 1446.84,726.799 1442.39,737.444 1438.64,747.861 1435.56,758.047 1433.11,768.002 1431.28,777.725 \n",
" 1430.04,787.218 1429.35,796.477 1429.2,805.495 1429.57,814.272 1430.46,822.805 1431.84,831.09 1433.71,839.122 1436.07,846.893 1438.91,854.396 1442.22,861.621 \n",
" 1446,868.557 1450.25,875.193 1454.96,881.514 1460.15,887.506 1465.82,893.156 1471.99,898.45 1478.67,903.371 1485.87,907.899 1493.6,912.011 1501.89,915.684 \n",
" 1510.73,918.89 1520.16,921.599 1530.17,923.779 1540.79,925.395 1552.03,926.414 1563.88,926.802 1576.38,926.51 1589.54,925.486 1603.38,923.678 1617.91,921.032 \n",
" 1633.1,917.496 1648.96,913.015 1665.46,907.536 1682.55,901.003 1700.21,893.361 1718.38,884.555 1737,874.529 1756.01,863.233 1775.31,850.674 1794.77,836.797 \n",
" 1814.26,821.562 1833.62,804.96 1852.66,787.016 1871.19,767.789 1889.02,747.368 1905.91,725.881 1921.63,703.483 1935.93,680.368 1948.53,656.758 1959.15,632.912 \n",
" 1967.5,609.132 1973.41,585.806 1976.74,563.264 1977.34,541.802 1975.15,521.696 1970.13,503.205 1962.31,486.566 1951.72,471.996 1938.49,459.695 1922.77,449.84 \n",
" 1904.74,442.59 1884.65,438.086 1862.82,436.329 1839.63,437.035 1815.42,440.038 1790.51,445.158 1765.2,452.2 1739.76,460.951 1714.46,471.18 1689.52,482.64 \n",
" 1665.18,495.065 1641.61,508.173 1618.99,521.724 1597.4,535.639 1576.9,549.787 1557.53,564.051 1539.33,578.329 1522.33,592.535 1506.51,606.603 1491.88,620.482 \n",
" 1478.41,634.138 1466.05,647.557 1454.75,660.737 1444.48,673.664 1435.19,686.328 1426.83,698.733 1419.35,710.879 1412.7,722.771 1406.84,734.411 1401.72,745.803 \n",
" 1397.29,756.952 1393.53,767.863 1390.39,778.54 1387.84,788.99 1385.84,799.215 1384.35,809.216 1383.36,818.996 1382.84,828.556 1382.78,837.898 1383.16,847.022 \n",
" 1383.96,855.926 1385.17,864.607 1386.77,873.062 1388.77,881.288 1391.14,889.278 1393.89,897.027 1397.02,904.532 1400.54,911.787 1404.46,918.786 1408.78,925.52 \n",
" 1413.5,931.979 1418.65,938.152 1424.23,944.027 1430.26,949.588 1436.75,954.821 1443.72,959.706 1451.19,964.227 1459.19,968.363 1467.74,972.092 1476.86,975.386 \n",
" 1486.59,978.216 1496.94,980.549 1507.95,982.346 1519.64,983.568 1532.03,984.171 1545.16,984.108 1559.03,983.331 1573.65,981.802 1589.06,979.444 1605.3,976.175 \n",
" 1622.39,971.917 1640.34,966.588 1659.14,960.112 1678.76,952.41 1699.17,943.405 1720.31,933.022 1742.1,921.185 1764.45,907.82 1787.26,892.853 1810.41,876.212 \n",
" 1833.77,857.868 1857.15,837.832 1880.28,816.076 1902.89,792.625 1924.69,767.562 1945.38,741.022 1964.63,713.198 1982.12,684.338 1997.5,654.746 2010.41,624.779 \n",
" 2020.48,594.853 2027.31,565.438 2030.7,537.07 2030.47,510.237 2026.54,485.367 2018.86,462.845 2007.47,443.007 1992.5,426.143 1974.14,412.496 1952.65,402.264 \n",
" 1928.38,395.598 1901.74,392.59 1873.23,392.999 1843.34,396.489 1812.53,402.777 1781.22,411.56 1749.79,422.512 1718.61,435.289 1687.99,449.525 1658.21,464.834 \n",
" 1629.52,480.818 1602.09,497.254 1576.01,513.977 1551.36,530.807 1528.18,547.593 1506.49,564.215 1486.31,580.579 1467.62,596.622 1450.35,612.307 1434.46,627.628 \n",
" 1419.88,642.573 1406.55,657.135 1394.4,671.325 1383.35,685.154 1373.33,698.635 1364.28,711.78 1356.12,724.606 1348.79,737.129 1342.23,749.366 1336.36,761.334 \n",
" 1331.13,773.045 1326.5,784.512 1322.4,795.745 1318.8,806.755 1315.64,817.55 1312.9,828.138 1310.53,838.525 1308.49,848.716 1306.76,858.716 1305.31,868.529 \n",
" 1304.11,878.16 1303.16,887.612 1302.42,896.889 1301.89,905.992 1301.54,914.923 1301.36,923.686 1301.34,932.28 1301.47,940.709 1301.75,948.973 1302.17,957.075 \n",
" 1302.72,965.016 1303.41,972.798 1304.22,980.42 1305.16,987.884 1306.23,995.192 1307.42,1002.34 1308.75,1009.34 1310.22,1016.18 1311.82,1022.87 1313.57,1029.4 \n",
" 1315.47,1035.77 1317.52,1042 1319.75,1048.06 1322.14,1053.97 1324.73,1059.72 1327.51,1065.31 1330.5,1070.74 1333.72,1076.01 1337.18,1081.1 1340.89,1086.03 \n",
" 1344.88,1090.77 1349.16,1095.34 1353.76,1099.71 1358.69,1103.89 1363.99,1107.86 1369.67,1111.62 1375.77,1115.15 1382.32,1118.44 1389.35,1121.47 1396.89,1124.22 \n",
" 1404.98,1126.67 1413.67,1128.81 1422.99,1130.59 1432.98,1132 1443.69,1133 1455.18,1133.54 1467.49,1133.6 1480.69,1133.11 1494.83,1132.01 1509.97,1130.24 \n",
" 1526.15,1127.72 1543.44,1124.37 1561.88,1120.1 1581.53,1114.79 1602.44,1108.35 1624.63,1100.66 1648.09,1091.63 1672.89,1081.07 1699.06,1068.77 1726.62,1054.56 \n",
" 1755.52,1038.25 1785.66,1019.69 1816.9,998.722 1849.04,975.21 1881.85,949.028 1915.02,920.06 1948.22,888.203 1981.1,853.422 2013.2,815.86 2043.81,775.667 \n",
" 2072.24,733.121 2097.8,688.628 2119.84,642.725 2137.71,596.08 2150.79,549.494 2158.46,503.896 2160.14,460.346 2155.33,420.005 2144.01,383.85 2126.32,352.653 \n",
" 2102.51,327.016 2072.99,307.36 2038.35,293.929 1999.29,286.79 1956.7,285.831 1911.59,290.729 1864.9,300.668 1817.49,314.817 1770.13,332.404 1723.48,352.675 \n",
" 1678.1,374.897 1634.42,398.355 1592.79,422.355 1553.42,446.327 1516.43,470.023 1481.87,493.186 1449.74,515.617 1419.99,537.175 1392.57,557.784 1367.35,577.425 \n",
" 1344.21,596.131 1323.02,613.919 1303.63,630.849 1285.9,646.981 1269.7,662.377 1254.88,677.094 1241.33,691.188 1228.9,704.714 1217.49,717.723 1206.97,730.266 \n",
" 1197.23,742.381 1188.18,754.104 1179.72,765.464 1171.77,776.486 1164.25,787.192 1157.07,797.598 1150.15,807.718 1143.44,817.56 1136.87,827.132 1130.39,836.437 \n",
" 1123.94,845.477 1117.48,854.253 1110.95,862.763 1104.32,871.003 1097.55,878.967 1090.58,886.648 1083.38,894.036 1075.92,901.121 1068.16,907.889 1060.09,914.327 \n",
" 1051.65,920.416 1042.84,926.137 1033.61,931.469 1023.95,936.389 1013.82,940.87 1003.2,944.884 992.087,948.398 980.445,951.377 968.265,953.778 955.537,955.561 \n",
" 942.255,956.677 928.419,957.079 914.034,956.713 899.107,955.525 883.654,953.456 867.707,950.464 851.304,946.481 834.483,941.422 817.299,935.21 799.827,927.779 \n",
" 782.154,919.075 764.387,909.055 746.649,897.689 729.079,884.953 711.834,870.84 695.088,855.351 679.03,838.498 663.82,820.342 649.676,800.98 636.849,780.521 \n",
" 625.568,759.106 616.039,736.905 608.445,714.121 602.949,690.986 599.691,667.767 598.786,644.758 600.33,622.286 604.394,600.71 610.976,580.358 619.981,561.491 \n",
" 631.293,544.341 644.77,529.106 660.242,515.942 677.513,504.97 696.361,496.272 716.537,489.892 737.763,485.838 759.739,484.077 782.166,484.509 804.814,486.938 \n",
" 827.445,491.19 849.848,497.089 871.835,504.46 893.245,513.127 913.94,522.909 933.811,533.628 952.771,545.1 970.761,557.145 987.734,569.611 1003.66,582.424 \n",
" 1018.53,595.484 1032.36,608.706 1045.15,622.01 1056.92,635.332 1067.69,648.616 1077.49,661.817 1086.35,674.9 1094.31,687.841 1101.42,700.617 1107.71,713.209 \n",
" 1113.22,725.606 1117.99,737.797 1122.05,749.773 1125.44,761.529 1128.18,773.057 1130.31,784.356 1131.86,795.424 1132.85,806.26 1133.32,816.862 1133.27,827.23 \n",
" 1132.73,837.363 1131.7,847.262 1130.2,856.926 1128.22,866.354 1125.77,875.543 1122.86,884.491 1119.49,893.193 1115.67,901.645 1111.39,909.841 1106.66,917.777 \n",
" 1101.47,925.444 1095.82,932.835 1089.69,939.938 1083.06,946.743 1075.91,953.236 1068.24,959.402 1060.02,965.221 1051.24,970.672 1041.88,975.731 1031.92,980.372 \n",
" 1021.35,984.565 1010.16,988.28 998.338,991.481 985.845,994.123 972.659,996.157 958.765,997.528 944.153,998.179 928.825,998.048 912.79,997.07 896.064,995.174 \n",
" 878.674,992.285 860.654,988.326 842.046,983.213 822.902,976.859 803.282,969.18 783.273,960.145 762.989,949.638 742.564,937.541 722.151,923.772 701.924,908.28 \n",
" 682.078,891.048 662.828,872.092 644.41,851.462 627.079,829.241 611.114,805.543 596.81,780.519 584.487,754.352 574.394,727.333 566.759,699.823 561.804,672.155 \n",
" 559.702,644.668 560.57,617.705 564.476,591.609 571.433,566.731 581.403,543.423 594.295,522.04 609.966,502.943 628.22,486.494 648.8,473.017 671.315,462.495 \n",
" 695.389,454.899 720.668,450.188 746.811,448.273 773.495,449.02 800.409,452.252 827.261,457.743 853.769,465.226 879.671,474.386 904.733,484.906 928.835,496.614 \n",
" 951.873,509.293 973.766,522.736 994.449,536.757 1013.88,551.193 1032.04,565.9 1048.92,580.757 1064.54,595.665 1078.94,610.544 1092.19,625.338 1104.31,639.995 \n",
" 1115.35,654.477 1125.37,668.76 1134.42,682.824 1142.55,696.653 1149.82,710.234 1156.27,723.556 1161.97,736.616 1166.94,749.409 1171.25,761.937 1174.92,774.205 \n",
" 1178.01,786.217 1180.55,797.976 1182.58,809.486 1184.12,820.751 1185.2,831.776 1185.85,842.566 1186.08,853.123 1185.92,863.454 1185.38,873.561 1184.49,883.45 \n",
" 1183.24,893.122 1181.65,902.582 1179.71,911.832 1177.44,920.874 1174.82,929.71 1171.86,938.339 1168.56,946.764 1164.9,954.983 1160.89,962.995 1156.52,970.8 \n",
" 1151.77,978.394 1146.63,985.772 1141.07,992.932 1135.09,999.865 1128.66,1006.57 1121.76,1013.02 1114.37,1019.22 1106.46,1025.15 1098.01,1030.79 1088.99,1036.13 \n",
" 1079.38,1041.15 1069.14,1045.81 1058.24,1050.09 1046.64,1053.97 1034.31,1057.39 1021.21,1060.32 1007.31,1062.71 992.597,1064.5 977.037,1065.62 960.61,1066 \n",
" 943.297,1065.58 925.082,1064.26 905.964,1061.97 885.995,1058.65 865.155,1054.15 843.438,1048.31 820.875,1040.98 797.53,1032.03 773.502,1021.33 748.922,1008.76 \n",
" 723.957,994.226 698.807,977.62 673.707,958.861 648.924,937.873 624.762,914.591 601.538,888.976 579.527,861.149 559.206,831.235 541.045,799.414 525.471,765.939 \n",
" 512.868,731.136 503.576,695.406 497.891,659.225 496.066,623.141 498.31,587.778 504.788,553.833 515.571,522.039 530.45,492.948 549.158,466.998 571.381,444.54 \n",
" 596.758,425.838 624.879,411.067 655.284,400.315 687.468,393.583 720.872,390.781 754.905,391.722 789.103,395.985 823.058,403.143 856.402,412.8 888.826,424.576 \n",
" 920.077,438.099 949.962,453.012 978.345,468.968 1005.15,485.633 1030.33,502.717 1053.85,520.07 1075.74,537.54 1096.04,554.992 1114.78,572.315 1132.03,589.419 \n",
" 1147.85,606.24 1162.33,622.733 1175.54,638.879 1187.57,654.656 1198.5,670.055 1208.43,685.077 1217.42,699.722 1225.55,713.994 1232.9,727.899 1239.54,741.446 \n",
" 1245.53,754.647 1250.95,767.514 1255.85,780.059 1260.28,792.292 1264.28,804.223 1267.91,815.861 1271.19,827.217 1274.18,838.299 1276.9,849.116 1279.4,859.678 \n",
" 1281.72,869.993 1283.87,880.07 1285.9,889.916 1287.81,899.536 1289.63,908.936 1291.37,918.121 1293.06,927.097 1294.71,935.868 1296.34,944.441 1297.96,952.818 \n",
" 1299.59,961.005 1301.24,969.004 1302.92,976.819 1304.65,984.453 1306.44,991.908 1308.3,999.187 1310.24,1006.29 1312.27,1013.22 1314.41,1019.99 1316.67,1026.58 \n",
" 1319.06,1033 1321.59,1039.25 1324.28,1045.34 1327.15,1051.25 1330.2,1056.99 1333.45,1062.56 1336.92,1067.95 1340.63,1073.16 1344.6,1078.19 1348.85,1083.03 \n",
" 1353.39,1087.68 1358.25,1092.12 1363.45,1096.36 1369.03,1100.37 1375,1104.16 1381.41,1107.71 1388.27,1110.99 1395.63,1114.01 1403.52,1116.73 1411.98,1119.13 \n",
" 1421.05,1121.2 1430.77,1122.9 1441.19,1124.19 1452.36,1125.04 1464.32,1125.4 1477.12,1125.24 1490.83,1124.49 1505.47,1123.09 1521.11,1120.99 1537.82,1118.09 \n",
" 1555.66,1114.32 1574.7,1109.56 1594.97,1103.72 1616.52,1096.66 1639.35,1088.27 1663.48,1078.41 1688.92,1066.92 1715.65,1053.64 1743.65,1038.43 1772.82,1021.17 \n",
" 1803.07,1001.64 1834.3,979.602 1866.3,954.891 1898.84,927.395 1931.58,897.066 1964.12,863.92 1996,828.032 2026.67,789.541 2055.52,748.646 2081.93,705.635 \n",
" 2105.32,661.083 2124.84,615.708 2139.78,570.261 2149.53,525.528 2153.62,482.335 2151.71,441.54 2143.59,404.038 2129.2,370.763 2108.56,342.68 2081.97,320.622 \n",
" 2050.15,304.697 2013.87,294.9 1973.88,291.092 1930.97,292.98 1885.93,300.12 1839.6,311.917 1792.79,327.624 1746.37,346.342 1701.03,367.196 1657.15,389.562 \n",
" 1615.1,412.826 1575.15,436.464 1537.48,460.047 1502.22,483.237 1469.37,505.79 1438.89,527.555 1410.67,548.449 1384.68,568.425 1360.79,587.491 1338.87,605.671 \n",
" 1318.8,622.996 1300.45,639.507 1283.67,655.258 1268.35,670.311 1254.34,684.734 1241.51,698.579 1229.73,711.897 1218.91,724.735 1208.93,737.136 1199.69,749.136 \n",
" 1191.08,760.767 1183.03,772.055 1175.43,783.022 1168.21,793.686 1161.3,804.062 1154.63,814.162 1148.14,823.993 1141.78,833.563 1135.5,842.876 1129.23,851.932 \n",
" 1122.93,860.732 1116.55,869.274 1110.05,877.551 1103.37,885.559 1096.5,893.291 1089.39,900.738 1082.02,907.888 1074.35,914.729 1066.34,921.247 1057.97,927.425 \n",
" 1049.2,933.244 1040.01,938.684 1030.36,943.722 1020.25,948.331 1009.63,952.482 998.498,956.14 986.827,959.271 974.603,961.835 961.815,963.788 948.451,965.085 \n",
" 934.505,965.677 919.977,965.513 904.883,964.544 889.229,962.696 873.03,959.895 856.318,956.07 839.138,951.155 821.55,945.084 803.629,937.797 785.465,929.236 \n",
" 767.162,919.344 748.839,908.071 730.625,895.371 712.644,881.25 695.093,865.693 678.194,848.691 662.164,830.279 647.218,810.526 633.571,789.54 621.431,767.465 \n",
" 611.007,744.484 602.504,720.819 596.124,696.727 592.068,672.505 590.516,648.487 591.525,625.024 595.128,602.434 601.32,581.011 610.058,561.025 621.255,542.719 \n",
" 634.786,526.317 650.484,512.014 668.141,499.983 687.507,490.374 708.295,483.311 730.195,478.782 752.91,476.62 776.15,476.706 799.649,478.904 823.161,483.056 \n",
" 846.465,488.989 869.364,496.508 891.68,505.404 913.261,515.446 933.977,526.391 953.734,538.094 972.48,550.425 990.174,563.242 1006.79,576.42 1022.31,589.847 \n",
" 1036.74,603.426 1050.08,617.077 1062.35,630.731 1073.58,644.336 1083.82,657.852 1093.1,671.238 1101.46,684.47 1108.94,697.528 1115.58,710.394 1121.43,723.053 \n",
" 1126.53,735.496 1130.91,747.713 1134.6,759.699 1137.65,771.451 1140.09,782.97 1141.94,794.255 1143.24,805.306 1144.02,816.122 1144.28,826.704 1144.04,837.053 \n",
" 1143.33,847.169 1142.15,857.052 1140.52,866.701 1138.45,876.115 1135.94,885.295 1133.01,894.238 1129.65,902.943 1125.85,911.406 1121.62,919.623 1116.94,927.589 \n",
" 1111.8,935.299 1106.21,942.743 1100.13,949.913 1093.57,956.797 1086.51,963.382 1078.93,969.656 1070.82,975.599 1062.15,981.192 1052.91,986.415 1043.07,991.242 \n",
" 1032.6,995.646 1021.49,999.592 1009.72,1003.04 997.267,1005.96 984.116,1008.29 970.253,1009.98 955.666,1010.99 940.343,1011.25 924.313,1010.72 907.568,1009.32 \n",
" 890.092,1006.95 871.89,1003.51 852.99,998.901 833.437,993.035 813.302,985.824 792.671,977.183 771.657,967.031 750.39,955.292 729.021,941.893 707.725,926.763 \n",
" 686.694,909.837 666.112,891.095 646.204,870.585 627.303,848.323 609.726,824.378 593.778,798.874 579.746,771.991 567.906,743.96 558.516,715.071 551.821,685.664 \n",
" 548.05,656.137 547.417,626.942 550.113,598.592 556.156,571.624 565.442,546.409 577.831,523.262 593.148,502.457 611.182,484.229 631.689,468.772 654.389,456.239 \n",
" 678.967,446.742 705.072,440.355 732.32,437.11 760.293,436.954 788.582,439.511 816.85,444.484 844.799,451.604 872.173,460.604 898.753,471.22 924.363,483.186 \n",
" 948.865,496.239 972.159,510.117 994.185,524.568 1014.88,539.447 1034.25,554.626 1052.29,569.98 1069.03,585.402 1084.49,600.8 1098.72,616.1 1111.74,631.243 \n",
" 1123.63,646.187 1134.43,660.907 1144.2,675.384 1153.02,689.597 1160.94,703.541 1168.01,717.207 1174.3,730.595 1179.85,743.702 1184.72,756.53 1188.95,769.082 \n",
" 1192.59,781.363 1195.69,793.38 1198.28,805.138 1200.4,816.644 1202.08,827.902 1203.33,838.918 1204.19,849.698 1204.67,860.248 1204.8,870.574 1204.59,880.679 \n",
" 1204.06,890.57 1203.24,900.252 1202.12,909.73 1200.72,919.007 1199.03,928.086 1197.06,936.971 1194.79,945.664 1192.24,954.168 1189.4,962.484 1186.27,970.615 \n",
" 1182.83,978.56 1179.07,986.321 1175,993.895 1170.58,1001.28 1165.81,1008.48 1160.67,1015.49 1155.15,1022.3 1149.21,1028.91 1142.83,1035.31 1136.01,1041.49 \n",
" 1128.7,1047.44 1120.88,1053.15 1112.53,1058.61 1103.61,1063.79 1094.09,1068.68 1083.92,1073.25 1073.08,1077.48 1061.53,1081.34 1049.23,1084.78 1036.14,1087.76 \n",
" 1022.24,1090.23 1007.47,1092.14 991.809,1093.43 975.252,1094.05 957.799,1093.93 939.371,1092.96 919.915,1091.02 899.404,1088.01 877.836,1083.78 855.235,1078.22 \n",
" 831.65,1071.19 807.156,1062.56 781.854,1052.18 755.871,1039.91 729.359,1025.6 702.495,1009.08 675.483,990.207 648.532,968.891 621.954,945.088 596.168,918.689 \n",
" 571.598,889.679 548.676,858.134 527.836,824.229 509.521,788.23 494.177,750.501 482.256,711.499 474.216,671.775 470.507,631.98 471.354,592.882 476.854,555.2 \n",
" 487.032,519.589 501.807,486.643 520.995,456.905 544.309,430.859 571.359,408.934 601.651,391.505 634.588,378.883 669.514,370.978 705.794,367.448 742.837,367.993 \n",
" 780.114,372.265 817.147,379.864 853.521,390.34 888.874,403.192 922.904,417.869 955.381,433.896 986.18,450.992 1015.22,468.834 1042.46,487.141 1067.88,505.677 \n",
" 1091.48,524.244 1113.3,542.691 1133.43,560.908 1151.95,578.819 1168.93,596.357 1184.47,613.492 1198.68,630.201 1211.63,646.469 1223.44,662.289 1234.19,677.66 \n",
" 1243.96,692.588 1252.86,707.087 1260.96,721.172 1268.36,734.856 1275.1,748.154 1281.28,761.077 1286.95,773.641 1292.17,785.858 1297,797.74 1301.49,809.299 \n",
" 1305.71,820.547 1309.7,831.496 1313.49,842.153 1317.12,852.525 1320.64,862.621 1324.06,872.445 1327.43,882.006 1330.78,891.307 1334.13,900.354 1337.52,909.151 \n",
" 1340.97,917.702 1344.5,926.007 1348.14,934.067 1351.91,941.884 1355.83,949.456 1359.93,956.783 1364.23,963.863 1368.75,970.694 1373.52,977.271 1378.57,983.59 \n",
" 1383.91,989.643 1389.57,995.422 1395.57,1000.92 1401.96,1006.12 1408.74,1011.02 1415.96,1015.59 1423.64,1019.82 1431.82,1023.7 1440.52,1027.2 1449.79,1030.3 \n",
" 1459.67,1032.96 1470.18,1035.16 1481.36,1036.86 1493.26,1038.01 1505.9,1038.58 1519.34,1038.51 1533.61,1037.74 1548.74,1036.23 1564.75,1033.91 1581.7,1030.69 \n",
" 1599.64,1026.48 1618.57,1021.2 1638.53,1014.74 1659.5,1007 1681.47,997.894 1704.39,987.302 1728.23,975.117 1752.93,961.225 1778.39,945.51 1804.51,927.911 \n",
" 1831.13,908.328 1858.04,886.638 1885.02,862.776 1911.78,836.744 1938,808.603 1963.32,778.477 1987.34,746.553 2009.61,713.079 2029.64,678.367 2046.92,642.793 \n",
" 2061.02,606.902 2071.49,571.314 2077.93,536.625 2080.02,503.41 2077.55,472.229 2070.42,443.625 2058.63,418.123 2042.27,396.23 2021.54,378.437 1996.75,365.215 \n",
" 1968.4,356.661 1937.12,352.519 1903.51,352.59 1868.15,356.601 1831.59,364.203 1794.39,374.977 1757.07,388.424 1720.15,403.976 1684.1,420.999 1649.24,439.098 \n",
" 1615.78,457.946 1583.9,477.21 1553.72,496.605 1525.35,515.9 1498.83,534.913 1474.16,553.511 1451.31,571.617 1430.17,589.199 1410.66,606.253 1392.73,622.753 \n",
" 1376.31,638.714 1361.28,654.157 1347.55,669.105 1335.03,683.582 1323.63,697.614 1313.26,711.231 1303.82,724.463 1295.24,737.342 1287.42,749.891 1280.28,762.133 \n",
" 1273.76,774.089 1267.79,785.777 1262.31,797.212 1257.26,808.409 1252.57,819.38 1248.2,830.134 1244.09,840.68 1240.2,851.024 1236.49,861.173 1232.92,871.133 \n",
" 1229.47,880.909 1226.1,890.504 1222.77,899.922 1219.46,909.166 1216.13,918.238 1212.76,927.138 1209.32,935.867 1205.79,944.428 1202.15,952.822 1198.37,961.047 \n",
" 1194.43,969.106 1190.32,976.995 1186,984.715 1181.44,992.263 1176.64,999.638 1171.55,1006.83 1166.17,1013.85 1160.46,1020.68 1154.4,1027.32 1147.96,1033.77 \n",
" 1141.11,1040 1133.83,1046.02 1126.07,1051.8 1117.81,1057.35 1109.01,1062.63 1099.65,1067.63 1089.67,1072.33 1079.06,1076.7 1067.75,1080.72 1055.73,1084.34 \n",
" 1042.95,1087.52 1029.36,1090.22 1014.94,1092.39 999.646,1093.97 983.456,1094.9 966.344,1095.11 948.256,1094.51 929.153,1092.99 909.017,1090.44 887.848,1086.76 \n",
" 865.666,1081.82 842.511,1075.48 818.439,1067.61 793.529,1058.07 767.875,1046.69 741.592,1033.31 714.82,1017.82 687.762,1000.1 660.686,979.953 633.89,957.224 \n",
" 607.708,931.848 582.509,903.834 558.694,873.26 536.698,840.282 516.99,805.127 500.075,768.1 486.486,729.577 476.66,690.154 470.937,650.504 469.598,611.252 \n",
" 472.824,573.012 480.699,536.391 493.203,501.989 510.221,470.395 531.536,442.191 556.832,417.952 585.693,398.241 617.553,383.4 651.69,373.203 687.474,367.496 \n",
" 724.319,366.057 761.68,368.586 799.056,374.702 835.985,383.952 872.049,395.8 906.874,409.646 940.221,425.089 971.953,441.787 1001.96,459.386 1030.17,477.577 \n",
" 1056.53,496.096 1081.06,514.726 1103.77,533.292 1124.74,551.668 1144.07,569.768 1161.82,587.517 1178.08,604.868 1192.95,621.802 1206.53,638.301 1218.92,654.356 \n",
" 1230.2,669.961 1240.47,685.119 1249.81,699.835 1258.32,714.124 1266.07,728.003 1273.14,741.486 1279.62,754.589 1285.55,767.323 1291.02,779.703 1296.06,791.741 \n",
" 1300.75,803.449 1305.12,814.838 1309.25,825.921 1313.16,836.706 1316.91,847.204 1320.52,857.42 1324.04,867.362 1327.49,877.035 1330.9,886.444 1334.3,895.595 \n",
" 1337.73,904.491 1341.21,913.137 1344.77,921.536 1348.43,929.688 1352.22,937.594 1356.15,945.253 1360.25,952.665 1364.55,959.828 1369.07,966.738 1373.83,973.392 \n",
" 1378.86,979.786 1384.18,985.914 1389.82,991.768 1395.8,997.338 1402.15,1002.61 1408.9,1007.58 1416.07,1012.23 1423.71,1016.54 1431.83,1020.49 1440.48,1024.06 \n",
" 1449.69,1027.23 1459.49,1029.96 1469.92,1032.24 1481.02,1034.02 1492.82,1035.26 1505.38,1035.92 1518.72,1035.94 1532.88,1035.28 1547.89,1033.86 1563.8,1031.63 \n",
" 1580.64,1028.51 1598.4,1024.44 1617.11,1019.33 1636.82,1013.08 1657.54,1005.55 1679.29,996.646 1702.04,986.248 1725.73,974.253 1750.28,960.563 1775.61,945.081 \n",
" 1801.56,927.716 1828,908.381 1854.73,886.992 1881.56,863.49 1908.25,837.915 1934.41,810.277 1959.67,780.649 1983.6,749.183 2005.79,716.114 2025.81,681.752 \n",
" 2043.21,646.49 2057.54,610.8 2068.33,575.233 2075.1,540.425 2077.5,507.166 2075.37,476.097 2068.69,447.719 2057.49,422.472 2041.87,400.732 2022.05,382.815 \n",
" 1998.31,368.972 1970.99,359.394 1940.56,354.21 1907.52,353.485 1872.53,357.006 1836.31,364.098 1799.43,374.289 1762.43,387.119 1725.77,402.123 1689.83,418.838 \n",
" 1654.96,436.798 1621.44,455.54 1589.48,474.633 1559.21,493.874 1530.7,513.067 1503.98,532.041 1479.07,550.66 1455.94,568.825 1434.55,586.47 1414.85,603.566 \n",
" 1396.75,620.121 1380.14,636.147 1364.94,651.648 1351.07,666.653 1338.42,681.188 1326.89,695.282 1316.39,708.963 1306.85,722.256 1298.17,735.19 1290.27,747.789 \n",
" 1283.07,760.081 1276.49,772.084 1270.47,783.816 1264.94,795.293 1259.86,806.531 1255.16,817.541 1250.79,828.334 1246.7,838.919 1242.84,849.303 1239.17,859.492 \n",
" 1235.65,869.49 1232.24,879.304 1228.92,888.936 1225.66,898.392 1222.42,907.673 1219.18,916.783 1215.91,925.723 1212.59,934.494 1209.18,943.097 1205.67,951.533 \n",
" 1202.04,959.804 1198.25,967.909 1194.3,975.848 1190.16,983.62 1185.8,991.224 1181.21,998.659 1176.35,1005.92 1171.2,1013.01 1165.75,1019.91 1159.95,1026.63 \n",
" 1153.8,1033.16 1147.26,1039.5 1140.29,1045.62 1132.88,1051.53 1124.99,1057.2 1116.58,1062.63 1107.63,1067.8 1098.09,1072.68 1087.93,1077.25 1077.11,1081.5 \n",
" 1065.59,1085.38 1053.33,1088.85 1040.29,1091.89 1026.44,1094.43 1011.73,1096.42 996.135,1097.8 979.604,1098.51 962.139,1098.48 943.711,1097.62 924.266,1095.82 \n",
" 903.774,1092.97 882.23,1088.94 859.65,1083.59 836.077,1076.8 811.576,1068.43 786.237,1058.32 760.173,1046.32 733.521,1032.28 706.444,1016.02 679.118,997.442 \n",
" 651.805,976.447 624.849,952.863 598.624,926.6 573.522,897.657 549.961,866.12 528.381,832.161 509.244,796.042 493.037,758.112 480.268,718.807 471.459,678.672 \n",
" 466.973,638.497 467.017,598.982 471.714,560.762 481.091,524.444 495.087,490.605 513.544,459.794 536.214,432.531 562.758,409.308 592.741,390.586 625.638,376.798 \n",
" 660.746,367.904 697.346,363.518 734.827,363.349 772.637,367.05 810.28,374.222 847.319,384.407 883.374,397.097 918.122,411.724 951.311,427.765 982.803,444.935 \n",
" 1012.52,462.902 1040.4,481.371 1066.43,500.093 1090.61,518.861 1112.99,537.512 1133.62,555.926 1152.6,574.027 1170.02,591.75 1185.97,609.051 1200.54,625.914 \n",
" 1213.85,642.328 1225.98,658.285 1237.03,673.786 1247.09,688.833 1256.26,703.435 1264.61,717.608 1272.23,731.368 1279.2,744.732 1285.6,757.714 1291.48,770.328 \n",
" 1296.91,782.586 1301.94,794.501 1306.63,806.085 1311.04,817.35 1315.22,828.306 1319.2,838.964 1323.05,849.333 1326.78,859.417 1330.43,869.225 1334.03,878.76 \n",
" 1337.62,888.028 1341.22,897.033 1344.87,905.779 1348.59,914.269 1352.42,922.506 1356.37,930.488 1360.47,938.216 1364.74,945.688 1369.21,952.902 1373.9,959.855 \n",
" 1378.84,966.542 1384.04,972.959 1389.55,979.1 1395.39,984.956 1401.57,990.518 1408.13,995.774 1415.1,1000.71 1422.51,1005.31 1430.38,1009.56 1438.76,1013.43 \n",
" 1447.66,1016.91 1457.13,1019.97 1467.21,1022.57 1477.92,1024.7 1489.31,1026.3 1501.42,1027.34 1514.28,1027.78 1527.94,1027.55 1542.41,1026.6 1557.75,1024.88 \n",
" 1573.97,1022.3 1591.11,1018.79 1609.2,1014.28 1628.22,1008.7 1648.17,1001.97 1669.08,993.949 1690.97,984.512 1713.81,973.541 1737.54,960.931 1762.08,946.587 \n",
" 1787.32,930.424 1813.1,912.372 1839.25,892.37 1865.55,870.367 1891.76,846.325 1917.62,820.231 1942.85,792.192 1967.01,762.332 1989.65,730.834 2010.33,697.954 \n",
" 2028.62,664.019 2044.1,629.432 2056.36,594.668 2065.01,560.273 2069.68,526.869 2070,495.154 2065.78,465.878 2057.05,439.547 2043.95,416.545 2026.68,397.181 \n",
" 2005.48,381.689 1980.67,370.23 1952.66,362.89 1921.88,359.68 1888.85,360.539 1854.16,365.329 1818.45,373.569 1782.32,384.633 1746.26,398.046 1710.69,413.358 \n",
" 1675.97,430.139 1642.4,447.982 1610.22,466.503 1579.58,485.338 1550.62,504.206 1523.39,522.968 1497.91,541.486 1474.18,559.648 1452.16,577.372 1431.82,594.601 \n",
" 1413.09,611.306 1395.9,627.487 1380.15,643.168 1365.76,658.359 1352.62,673.08 1340.65,687.358 1329.76,701.221 1319.87,714.694 1310.87,727.803 1302.71,740.571 \n",
" 1295.29,753.022 1288.54,765.179 1282.39,777.06 1276.77,788.681 1271.64,800.057 1266.93,811.201 1262.59,822.125 1258.58,832.839 1254.85,843.351 1251.35,853.668 \n",
" 1248.05,863.795 1244.89,873.736 1241.86,883.496 1238.92,893.079 1236.04,902.49 1233.21,911.731 1230.39,920.805 1227.57,929.715 1224.71,938.462 1221.8,947.047 \n",
" 1218.81,955.473 1215.72,963.741 1212.51,971.852 1209.18,979.807 1205.68,987.606 1202.02,995.249 1198.15,1002.74 1194.08,1010.07 1189.76,1017.24 1185.18,1024.25 \n",
" 1180.32,1031.1 1175.15,1037.79 1169.65,1044.31 1163.8,1050.65 1157.57,1056.81 1150.93,1062.78 1143.85,1068.56 1136.29,1074.12 1128.23,1079.47 1119.62,1084.57 \n",
" 1110.45,1089.43 1100.65,1094 1090.21,1098.28 1079.07,1102.23 1067.19,1105.81 1054.54,1108.99 1041.07,1111.72 1026.73,1113.96 1011.49,1115.64 995.331,1116.71 \n",
" 978.183,1117.09 959.997,1116.69 940.734,1115.41 920.375,1113.15 898.913,1109.78 876.359,1105.17 852.738,1099.2 828.093,1091.7 802.478,1082.51 775.968,1071.48 \n",
" 748.662,1058.44 720.725,1043.27 692.347,1025.72 663.766,1005.56 635.269,982.655 607.192,956.928 579.917,928.363 553.88,897.009 529.561,862.983 507.491,826.463 \n",
" 488.25,787.696 472.351,747.095 460.268,705.293 452.489,662.918 449.384,620.619 451.208,579.07 458.101,538.966 470.089,501.022 487.078,465.977 508.864,434.592 \n",
" 535.124,407.65 565.349,385.738 598.801,368.863 634.802,357.032 672.703,350.146 711.873,347.989 751.71,350.233 791.632,356.437 831.081,366.045 869.526,378.39 \n",
" 906.611,392.949 942.133,409.288 975.907,426.949 1007.8,445.533 1037.72,464.692 1065.63,484.134 1091.55,503.622 1115.52,522.973 1137.66,542.06 1158.07,560.789 \n",
" 1176.8,579.085 1193.96,596.92 1209.65,614.273 1224,631.129 1237.1,647.482 1249.05,663.329 1259.95,678.675 1269.9,693.532 1279,707.917 1287.32,721.851 \n",
" 1294.97,735.355 1302.02,748.443 1308.53,761.132 1314.58,773.436 1320.24,785.37 1325.56,796.946 1330.6,808.177 1335.43,819.074 1340.08,829.649 1344.6,839.907 \n",
" 1349.04,849.856 1353.43,859.501 1357.8,868.847 1362.2,877.897 1366.65,886.654 1371.19,895.12 1375.86,903.297 1380.69,911.185 1385.7,918.78 1390.92,926.079 \n",
" 1396.37,933.078 1402.09,939.768 1408.11,946.144 1414.44,952.196 1421.13,957.915 1428.21,963.288 1435.69,968.301 1443.62,972.936 1452.03,977.175 1460.93,980.993 \n",
" 1470.37,984.367 1480.38,987.267 1490.99,989.66 1502.24,991.513 1514.15,992.786 1526.76,993.439 1540.09,993.427 1554.18,992.695 1569.06,991.181 1584.77,988.818 \n",
" 1601.31,985.538 1618.7,981.267 1636.95,975.928 1656.04,969.442 1675.96,961.726 1696.69,952.69 1718.18,942.246 1740.38,930.34 1763.19,916.891 1786.52,901.77 \n",
" 1810.26,884.884 1834.24,866.18 1858.26,845.643 1882.1,823.295 1905.5,799.197 1928.16,773.449 1949.74,746.189 1969.89,717.593 1988.19,687.875 2004.33,657.353 \n",
" 2017.92,626.456 2028.55,595.619 2035.89,565.284 2039.67,535.9 2039.68,507.924 2035.82,481.818 2028.02,458.053 2016.32,437.106 2000.81,419.461 1981.69,405.472 \n",
" 1959.37,395.138 1934.28,388.469 1906.82,385.404 1877.43,385.812 1846.56,389.489 1814.66,396.157 1782.18,405.47 1749.61,417.005 1717.41,430.285 1685.87,444.962 \n",
" 1655.25,460.714 1625.75,477.227 1597.54,494.226 1570.78,511.476 1545.53,528.781 1521.84,545.983 1499.73,562.963 1479.15,579.644 1460.06,595.972 1442.45,611.914 \n",
" 1426.24,627.459 1411.37,642.6 1397.77,657.338 1385.37,671.679 1374.09,685.633 1363.87,699.219 1354.62,712.458 1346.27,725.372 1338.74,737.978 1331.98,750.292 \n",
" 1325.91,762.331 1320.48,774.109 1315.63,785.64 1311.31,796.936 1307.46,808.007 1304.04,818.863 1301.01,829.51 1298.32,839.957 1295.96,850.21 1293.88,860.274 \n",
" 1292.06,870.156 1290.47,879.858 1289.09,889.386 1287.89,898.742 1286.85,907.927 1285.96,916.945 1285.2,925.798 1284.55,934.49 1284.02,943.023 1283.59,951.4 \n",
" 1283.24,959.622 1282.97,967.691 1282.77,975.609 1282.64,983.379 1282.57,991.002 1282.55,998.481 1282.59,1005.82 1282.68,1013.01 1282.81,1020.07 1282.99,1026.99 \n",
" 1283.22,1033.78 1283.48,1040.44 1283.79,1046.96 1284.14,1053.35 1284.54,1059.62 1284.98,1065.76 1285.46,1071.78 1285.99,1077.68 1286.57,1083.46 1287.2,1089.11 \n",
" 1287.88,1094.65 1288.62,1100.08 1289.42,1105.39 1290.29,1110.59 1291.22,1115.67 1292.22,1120.65 1293.3,1125.51 1294.46,1130.26 1295.71,1134.91 1297.06,1139.45 \n",
" 1298.51,1143.88 1300.07,1148.2 1301.76,1152.41 1303.57,1156.52 1305.51,1160.51 1307.61,1164.4 1309.87,1168.17 1312.31,1171.84 1314.93,1175.39 1317.75,1178.82 \n",
" 1320.79,1182.13 1324.06,1185.32 1327.6,1188.38 1331.4,1191.31 1335.51,1194.1 1339.94,1196.74 1344.72,1199.23 1349.87,1201.55 1355.42,1203.71 1361.41,1205.67 \n",
" 1367.88,1207.44 1374.85,1209 1382.38,1210.32 1390.49,1211.38 1399.25,1212.16 1408.7,1212.63 1418.89,1212.75 1429.88,1212.49 1441.73,1211.81 1454.47,1210.65 \n",
" 1468.2,1208.96 1482.98,1206.68 1498.91,1203.74 1516.06,1200.05 1534.5,1195.51 1554.29,1190.02 1575.51,1183.43 1598.21,1175.62 1622.46,1166.43 1648.3,1155.7 \n",
" 1675.77,1143.25 1704.87,1128.94 1735.56,1112.55 1767.89,1093.76 1801.83,1072.28 1837.25,1047.88 1873.94,1020.35 1911.62,989.526 1949.89,955.279 1988.3,917.519 \n",
" 2026.31,876.194 2063.28,831.293 2098.66,783.022 2131.48,731.868 2160.65,678.44 2185.19,623.493 2204.21,567.919 2216.95,512.754 2222.73,459.173 2221.01,408.495 \n",
" 2211.32,362.178 2193.34,321.8 2167.4,288.457 2134.18,262.742 2094.47,245.008 2049.15,235.317 1999.28,233.448 1946.04,238.887 1890.73,250.835 1834.67,268.202 \n",
" 1778.8,289.762 1723.97,314.394 1670.89,341.093 1620.08,368.962 1571.94,397.218 1526.68,425.19 1484.37,452.337 1445.06,478.408 1408.71,503.248 1375.2,526.746 \n",
" 1344.43,548.849 1316.25,569.563 1290.49,588.95 1266.95,607.096 1245.46,624.087 1225.85,640.028 1207.94,655.019 1191.57,669.149 1176.58,682.503 1162.82,695.156 \n",
" 1150.16,707.178 1138.46,718.628 1127.59,729.564 1117.44,740.029 1107.91,750.06 1098.91,759.687 1090.34,768.935 1082.12,777.823 1074.17,786.365 1066.42,794.568 \n",
" 1058.8,802.439 1051.25,809.979 1043.73,817.185 1036.19,824.055 1028.58,830.581 1020.87,836.755 1013.01,842.567 1004.97,848.003 996.708,853.049 988.211,857.687 \n",
" 979.456,861.899 970.426,865.662 961.104,868.954 951.481,871.751 941.548,874.028 931.299,875.759 920.733,876.916 909.854,877.472 898.673,877.398 887.206,876.657 \n",
" 875.472,875.216 863.499,873.042 851.322,870.106 838.981,866.383 826.527,861.849 814.013,856.484 801.503,850.27 789.066,843.193 776.766,835.261 764.697,826.473 \n",
" 752.968,816.831 741.687,806.351 730.962,795.064 720.897,783.019 711.599,770.278 703.173,756.919 695.721,743.036 689.348,728.737 684.156,714.148 680.246,699.409 \n",
" 677.703,684.669 676.567,670.08 676.882,655.8 678.675,641.982 681.951,628.767 686.695,616.294 692.87,604.69 700.42,594.075 709.268,584.562 719.313,576.257 \n",
" 730.438,569.257 742.51,563.623 755.397,559.34 768.951,556.402 783.028,554.793 797.491,554.482 812.205,555.423 827.044,557.557 841.884,560.813 856.608,565.102 \n",
" 871.101,570.325 885.256,576.368 898.981,583.127 912.217,590.538 924.908,598.515 937.008,606.973 948.477,615.838 959.283,625.035 969.401,634.5 978.813,644.17 \n",
" 987.511,653.992 995.493,663.914 1002.76,673.893 1009.33,683.89 1015.2,693.871 1020.38,703.81 1024.89,713.679 1028.74,723.456 1031.95,733.117 1034.54,742.643 \n",
" 1036.5,752.016 1037.86,761.219 1038.64,770.239 1038.84,779.062 1038.47,787.679 1037.56,796.077 1036.11,804.241 1034.13,812.162 1031.62,819.828 1028.59,827.227 \n",
" 1025.04,834.346 1020.98,841.171 1016.41,847.686 1011.34,853.876 1005.76,859.724 999.687,865.213 993.118,870.323 986.058,875.036 978.511,879.331 970.478,883.185 \n",
" 961.955,886.571 952.941,889.46 943.441,891.823 933.463,893.629 923.02,894.846 912.127,895.442 900.806,895.382 889.081,894.63 876.98,893.151 864.537,890.907 \n",
" 851.788,887.859 838.778,884 825.563,879.289 812.204,873.672 798.774,867.111 785.353,859.579 772.026,851.062 758.89,841.56 746.048,831.085 733.612,819.662 \n",
" 721.7,807.331 710.442,794.142 699.971,780.16 690.433,765.461 681.975,750.139 674.695,734.333 668.707,718.197 664.128,701.878 661.051,685.526 659.551,669.297 \n",
" 659.679,653.347 661.465,637.835 664.918,622.926 670.023,608.786 676.745,595.585 685.029,583.494 694.796,572.691 705.944,563.348 718.327,555.506 731.776,549.176 \n",
" 746.127,544.38 761.221,541.119 776.9,539.375 793.008,539.11 809.394,540.268 825.907,542.77 842.399,546.521 858.727,551.405 874.747,557.287 890.341,564.046 \n",
" 905.44,571.606 919.972,579.858 933.879,588.701 947.108,598.042 959.619,607.792 971.378,617.871 982.363,628.205 992.56,638.728 1001.97,649.379 1010.59,660.106 \n",
" 1018.44,670.863 1025.54,681.61 1031.9,692.317 1037.52,702.959 1042.43,713.51 1046.65,723.951 1050.2,734.259 1053.1,744.417 1055.35,754.409 1056.99,764.219 \n",
" 1058.02,773.836 1058.46,783.247 1058.33,792.445 1057.64,801.422 1056.4,810.164 1054.63,818.662 1052.33,826.908 1049.51,834.892 1046.16,842.604 1042.29,850.033 \n",
" 1037.9,857.165 1032.99,863.986 1027.58,870.481 1021.65,876.635 1015.21,882.428 1008.25,887.842 1000.79,892.858 992.822,897.455 984.342,901.608 975.344,905.291 \n",
" 965.821,908.474 955.771,911.124 945.199,913.208 934.11,914.691 922.518,915.534 910.438,915.699 897.892,915.145 884.904,913.829 871.504,911.708 857.727,908.734 \n",
" 843.615,904.884 829.225,900.137 814.617,894.417 799.863,887.664 785.046,879.831 770.259,870.891 755.603,860.829 741.193,849.647 727.153,837.363 713.616,824.012 \n",
" 700.726,809.643 688.64,794.321 677.521,778.128 667.546,761.16 658.893,743.534 651.666,725.439 645.996,707.06 642.006,688.579 639.796,670.181 639.435,652.051 \n",
" 640.968,634.378 644.414,617.352 649.764,601.166 656.984,586.015 666.011,572.097 676.758,559.611 689.111,548.759 702.92,539.696 717.975,532.396 734.076,526.872 \n",
" 751.025,523.12 768.633,521.114 786.716,520.806 805.095,522.126 823.597,524.98 842.053,529.253 860.303,534.807 878.189,541.48 895.564,549.097 912.338,557.563 \n",
" 928.445,566.768 943.825,576.595 958.428,586.933 972.212,597.684 985.149,608.755 997.219,620.065 1008.41,631.54 1018.73,643.118 1028.18,654.744 1036.79,666.373 \n",
" 1044.59,677.967 1051.59,689.494 1057.8,700.927 1063.26,712.244 1067.99,723.427 1072.01,734.458 1075.36,745.32 1078.04,756 1080.09,766.486 1081.52,776.766 \n",
" 1082.35,786.834 1082.6,796.681 1082.29,806.305 1081.43,815.695 1080.03,824.845 1078.12,833.748 1075.68,842.398 1072.72,850.789 1069.25,858.911 1065.27,866.755 \n",
" 1060.77,874.309 1055.76,881.563 1050.24,888.502 1044.21,895.113 1037.66,901.378 1030.6,907.283 1023.02,912.807 1014.91,917.93 1006.26,922.628 997.048,926.875 \n",
" 987.278,930.641 976.94,933.895 966.033,936.602 954.557,938.724 942.516,940.221 929.917,941.049 916.77,941.162 903.088,940.51 888.891,939.049 874.226,936.763 \n",
" 859.115,933.573 843.59,929.394 827.697,924.152 811.497,917.786 795.068,910.246 778.5,901.493 761.901,891.501 745.394,880.253 729.116,867.746 713.22,853.986 \n",
" 697.875,838.992 683.263,822.796 669.584,805.438 656.982,787.02 645.637,767.697 635.774,747.619 627.586,726.957 621.242,705.896 616.88,684.642 614.61,663.417 \n",
" 614.514,642.458 616.645,622.024 621.029,602.388 627.661,583.843 636.511,566.696 647.502,551.24 660.452,537.602 675.162,525.896 691.428,516.208 709.045,508.591 \n",
" 727.798,503.066 747.471,499.619 767.841,498.204 788.681,498.744 809.758,501.125 830.836,505.204 851.675,510.805 872.118,517.759 892.037,525.898 911.31,535.055 \n",
" 929.837,545.077 947.53,555.82 964.325,567.151 980.173,578.946 995.044,591.095 1008.92,603.496 1021.82,616.06 1033.76,628.706 1044.74,641.378 1054.78,654.038 \n",
" 1063.91,666.647 1072.16,679.171 1079.55,691.58 1086.13,703.849 1091.92,715.955 1096.96,727.881 1101.26,739.614 1104.87,751.145 1107.81,762.469 1110.11,773.58 \n",
" 1111.81,784.471 1112.92,795.139 1113.46,805.58 1113.46,815.792 1112.92,825.77 1111.86,835.511 1110.3,845.011 1108.24,854.267 1105.69,863.274 1102.66,872.028 \n",
" 1099.16,880.525 1095.19,888.757 1090.73,896.717 1085.79,904.398 1080.36,911.792 1074.42,918.886 1067.97,925.667 1061,932.121 1053.51,938.229 1045.47,943.972 \n",
" 1036.88,949.331 1027.73,954.28 1018,958.795 1007.69,962.846 996.768,966.399 985.223,969.417 973.039,971.858 960.209,973.677 946.731,974.824 932.609,975.246 \n",
" 917.85,974.888 902.468,973.687 886.482,971.58 869.916,968.498 852.804,964.379 835.209,959.205 817.186,952.863 798.799,945.24 780.134,936.244 761.297,925.805 \n",
" 742.415,913.871 723.632,900.415 705.116,885.427 687.051,868.921 669.645,850.929 653.124,831.505 637.734,810.725 623.74,788.684 611.382,765.53 600.842,741.518 \n",
" 592.377,716.897 586.205,691.93 582.501,666.891 581.394,642.071 582.971,617.773 587.277,594.314 594.31,572.026 604.026,551.254 616.339,532.356 631.114,515.702 \n",
" 648.119,501.475 667.055,489.739 687.635,480.556 709.574,473.945 732.587,469.88 756.393,468.293 780.714,469.072 805.271,472.062 829.789,477.063 853.995,483.833 \n",
" 877.636,492.108 900.576,501.711 922.693,512.436 943.877,524.086 964.041,536.48 983.117,549.453 1001.06,562.861 1017.84,576.574 1033.46,590.479 1047.94,604.482 \n",
" 1061.3,618.505 1073.6,632.487 1084.85,646.381 1095.08,660.154 1104.34,673.776 1112.69,687.224 1120.16,700.475 1126.79,713.515 1132.63,726.329 1137.73,738.909 \n",
" 1142.11,751.25 1145.81,763.351 1148.89,775.214 1151.36,786.837 1153.27,798.221 1154.65,809.368 1155.5,820.278 1155.86,830.953 1155.74,841.395 1155.17,851.605 \n",
" 1154.16,861.583 1152.72,871.333 1150.86,880.854 1148.59,890.147 1145.92,899.212 1142.83,908.047 1139.33,916.651 1135.42,925.022 1131.08,933.156 1126.31,941.048 \n",
" 1121.1,948.691 1115.44,956.08 1109.32,963.206 1102.73,970.058 1095.65,976.624 1088.05,982.89 1079.91,988.842 1071.22,994.462 1061.94,999.726 1052.07,1004.61 \n",
" 1041.56,1009.08 1030.4,1013.11 1018.57,1016.66 1006.05,1019.69 992.801,1022.15 978.845,1024.02 964.152,1025.22 948.685,1025.69 932.419,1025.35 915.344,1024.11 \n",
" 897.467,1021.91 878.809,1018.64 859.405,1014.21 839.307,1008.55 818.582,1001.54 797.31,993.096 775.588,983.105 753.527,971.465 731.251,958.082 708.904,942.939 \n",
" 686.72,925.922 664.952,906.948 643.864,885.99 623.733,863.074 604.847,838.285 587.507,811.76 572.025,783.691 558.725,754.329 547.942,723.975 540.024,692.989 \n",
" 535.295,661.845 533.906,631.106 535.929,601.2 541.387,572.526 550.249,545.466 562.433,520.377 577.806,497.597 596.182,477.442 617.323,460.207 640.94,446.166 \n",
" 666.693,435.572 694.174,428.601 722.854,424.97 752.286,424.437 782.076,426.78 811.869,431.755 841.348,439.089 870.236,448.488 898.295,459.629 925.323,472.164 \n",
" 951.159,485.733 975.691,500.129 998.864,515.172 1020.65,530.673 1041.03,546.465 1060,562.408 1077.59,578.381 1093.82,594.289 1108.73,610.06 1122.4,625.644 \n",
" 1134.89,641.008 1146.25,656.113 1156.56,670.943 1165.88,685.486 1174.28,699.733 1181.82,713.679 1188.55,727.322 1194.54,740.662 1199.85,753.704 1204.51,766.453 \n",
" 1208.6,778.919 1212.15,791.108 1215.2,803.027 1217.8,814.682 1219.96,826.081 1221.73,837.232 1223.14,848.14 1224.21,858.813 1224.97,869.259 1225.44,879.484 \n",
" 1225.64,889.494 1225.57,899.295 1225.26,908.891 1224.7,918.288 1223.91,927.492 1222.9,936.506 1221.67,945.336 1220.23,953.986 1218.56,962.461 1216.69,970.762 \n",
" 1214.59,978.894 1212.26,986.859 1209.71,994.66 1206.91,1002.3 1203.87,1009.78 1200.57,1017.1 1197,1024.26 1193.15,1031.27 1189.01,1038.11 1184.55,1044.8 \n",
" 1179.76,1051.33 1174.61,1057.69 1169.09,1063.88 1163.17,1069.91 1156.83,1075.75 1150.03,1081.4 1142.75,1086.86 1134.97,1092.11 1126.64,1097.13 1117.74,1101.91 \n",
" 1108.21,1106.44 1098.02,1110.69 1087.13,1114.64 1075.5,1118.25 1063.09,1121.48 1049.84,1124.28 1035.73,1126.61 1020.7,1128.42 1004.7,1129.63 987.704,1130.19 \n",
" 969.706,1130.02 950.656,1129.04 930.482,1127.11 909.14,1124.12 886.613,1119.92 862.909,1114.38 838.063,1107.33 812.14,1098.62 785.228,1088.08 757.443,1075.53 \n",
" 728.93,1060.79 699.858,1043.66 670.42,1023.95 640.854,1001.63 611.55,976.456 582.936,948.292 555.466,917.087 529.615,882.906 505.884,845.92 484.798,806.414 \n",
" 466.903,764.778 452.773,721.515 443.001,677.236 438.111,632.697 438.334,588.8 443.859,546.373 454.748,506.188 470.928,468.97 492.193,435.39 518.206,406.069 \n",
" 548.492,381.577 582.447,362.433 619.334,348.903 658.369,340.651 698.819,337.393 740.012,338.777 781.34,344.372 822.258,353.664 862.284,366.062 900.997,380.896 \n",
" 938.059,397.501 973.293,415.509 1006.58,434.508 1037.84,454.132 1067.04,474.066 1094.17,494.057 1119.28,513.903 1142.45,533.461 1163.78,552.633 1183.36,571.336 \n",
" 1201.29,589.534 1217.7,607.204 1232.7,624.332 1246.4,640.913 1258.91,656.947 1270.33,672.445 1280.77,687.422 1290.32,701.904 1299.1,715.909 1307.18,729.457 \n",
" 1314.64,742.565 1321.57,755.25 1328.03,767.529 1334.09,779.418 1339.82,790.929 1345.29,802.076 1350.55,812.872 1355.65,823.325 1360.64,833.441 1365.55,843.228 \n",
" 1370.44,852.691 1375.33,861.832 1380.28,870.656 1385.31,879.165 1390.47,887.36 1395.79,895.239 1401.3,902.799 1407.02,910.035 1412.99,916.941 1419.24,923.51 \n",
" 1425.8,929.732 1432.7,935.597 1439.96,941.094 1447.64,946.209 1455.74,950.923 1464.3,955.218 1473.36,959.07 1482.94,962.453 1493.07,965.339 1503.78,967.695 \n",
" 1515.11,969.488 1527.07,970.678 1539.71,971.226 1553.05,971.088 1567.1,970.211 1581.9,968.534 1597.47,965.994 1613.82,962.524 1630.96,958.057 1648.88,952.523 \n",
" 1667.55,945.849 1686.97,937.96 1707.09,928.778 1727.86,918.225 1749.22,906.265 1771.07,892.816 1793.3,877.778 1815.78,861.087 1838.33,842.716 1860.78,822.673 \n",
" 1882.89,801.001 1904.42,777.781 1925.07,753.129 1944.54,727.197 1962.5,700.172 1978.57,672.282 1992.48,643.855 2003.89,615.287 2012.45,586.974 2017.88,559.317 \n",
" 2019.98,532.715 2018.6,507.572 2013.67,484.293 2005.15,463.287 1993.12,444.962 1977.68,429.731 1959.06,417.821 1937.64,409.213 1913.78,403.904 1887.86,401.828 \n",
" 1860.28,402.855 1831.44,406.794 1801.72,413.394 1771.55,422.34 1741.34,433.255 1711.5,445.726 1682.28,459.477 1653.89,474.217 1626.53,489.675 1600.37,505.61 \n",
" 1575.51,521.815 1552.04,538.115 1530.01,554.368 1509.42,570.465 1490.25,586.328 1472.45,601.909 1456.02,617.171 1440.91,632.098 1427.04,646.683 1414.37,660.919 \n",
" 1402.84,674.807 1392.37,688.353 1382.9,701.568 1374.37,714.468 1366.71,727.07 1359.86,739.386 1353.76,751.43 1348.34,763.212 1343.57,774.746 1339.38,786.042 \n",
" 1335.73,797.108 1332.58,807.953 1329.88,818.584 1327.6,829.007 1325.71,839.228 1324.18,849.252 1322.98,859.084 1322.1,868.725 1321.51,878.18 1321.18,887.45 \n",
" 1321.1,896.537 1321.27,905.441 1321.66,914.165 1322.28,922.711 1323.11,931.078 1324.14,939.267 1325.39,947.279 1326.84,955.112 1328.49,962.767 1330.34,970.243 \n",
" 1332.4,977.538 1334.68,984.653 1337.17,991.585 1339.9,998.333 1342.86,1004.89 1346.06,1011.26 1349.53,1017.44 1353.26,1023.42 1357.29,1029.19 1361.61,1034.75 \n",
" 1366.26,1040.1 1371.25,1045.22 1376.6,1050.12 1382.34,1054.76 1388.49,1059.15 1395.09,1063.27 1402.15,1067.11 1409.71,1070.64 1417.8,1073.85 1426.45,1076.71 \n",
" 1435.72,1079.2 1445.62,1081.28 1456.22,1082.94 1467.55,1084.12 1479.65,1084.78 1492.58,1084.87 1506.36,1084.33 1521.06,1083.11 1536.71,1081.14 1553.36,1078.34 \n",
" 1571.04,1074.66 1589.77,1069.99 1609.62,1064.23 1630.64,1057.24 1652.87,1048.9 1676.3,1039.09 1700.92,1027.66 1726.68,1014.49 1753.49,999.457 1781.26,982.418 \n",
" 1809.87,963.242 1839.15,941.794 1868.94,917.957 1899,891.725 1928.98,863.008 1958.47,831.781 1987.03,798.121 2014.19,762.203 2039.46,724.307 2062.29,684.813 \n",
" 2082.12,644.2 2098.33,603.051 2110.3,562.049 2117.47,522.001 2119.54,483.78 2116.25,448.162 2107.45,415.837 2093.16,387.414 2073.54,363.421 2048.88,344.302 \n",
" 2019.61,330.419 1986.31,322.051 1949.7,319.185 1910.62,321.246 1869.81,327.768 1827.98,338.241 1785.78,352.107 1743.81,368.757 1702.58,387.537 1662.59,407.739 \n",
" 1624.21,428.709 1587.64,450.145 1553.04,471.709 1520.49,493.113 1490.05,514.126 1461.74,534.581 1435.52,554.367 1411.31,573.436 1389,591.791 1368.52,609.414 \n",
" 1349.75,626.33 1332.56,642.578 1316.85,658.195 1302.49,673.22 1289.37,687.693 1277.39,701.656 1266.44,715.151 1256.41,728.221 1247.2,740.899 1238.72,753.218 \n",
" 1230.88,765.202 1223.61,776.876 1216.82,788.262 1210.44,799.376 1204.41,810.232 1198.66,820.843 1193.13,831.215 1187.76,841.359 1182.51,851.278 1177.34,860.978 \n",
" 1172.2,870.461 1167.04,879.729 1161.83,888.783 1156.53,897.62 1151.1,906.239 1145.5,914.636 1139.7,922.809 1133.68,930.75 1127.4,938.455 1120.83,945.915 \n",
" 1113.94,953.121 1106.7,960.06 1099.07,966.722 1091.03,973.092 1082.54,979.153 1073.58,984.886 1064.12,990.271 1054.12,995.282 1043.56,999.891 1032.41,1004.07 \n",
" 1020.64,1007.77 1008.23,1010.97 995.139,1013.61 981.361,1015.66 966.877,1017.06 951.66,1017.74 935.693,1017.64 918.972,1016.68 901.503,1014.78 883.303,1011.86 \n",
" 864.402,1007.84 844.839,1002.62 824.667,996.114 803.949,988.213 782.764,978.843 761.224,967.94 739.47,955.358 717.662,940.985 695.988,924.748 674.658,906.61 \n",
" 653.906,886.572 633.989,864.677 615.189,841.003 597.812,815.666 582.187,788.822 568.667,760.666 557.526,731.488 549.039,701.67 543.485,671.589 541.077,641.635 \n",
" 541.965,612.21 546.231,583.722 553.893,556.595 564.903,531.261 579.148,508.162 596.448,487.753 616.546,470.429 639.063,456.264 663.607,445.318 689.792,437.605 \n",
" 717.242,433.075 745.582,431.616 774.446,433.052 803.474,437.148 832.311,443.603 860.613,452.062 888.15,462.253 914.757,473.907 940.284,486.753 964.609,500.541 \n",
" 987.641,515.047 1009.32,530.074 1029.61,545.448 1048.51,561.02 1066.06,576.669 1082.3,592.295 1097.28,607.83 1111.03,623.221 1123.59,638.424 1135.04,653.401 \n",
" 1145.43,668.127 1154.82,682.581 1163.27,696.757 1170.85,710.645 1177.61,724.246 1183.61,737.557 1188.91,750.582 1193.56,763.324 1197.6,775.788 1201.08,787.98 \n",
" 1204.04,799.906 1206.52,811.573 1208.54,822.986 1210.15,834.153 1211.37,845.08 1212.23,855.773 1212.75,866.238 1212.94,876.482 1212.82,886.509 1212.41,896.325 \n",
" 1211.72,905.936 1210.76,915.344 1209.52,924.556 1208.03,933.575 1206.27,942.405 1204.26,951.05 1201.99,959.511 1199.45,967.792 1196.65,975.895 1193.56,983.822 \n",
" 1190.2,991.573 1186.53,999.149 1182.57,1006.55 1178.28,1013.77 1173.65,1020.82 1168.68,1027.69 1163.32,1034.37 1157.58,1040.87 1151.42,1047.17 1144.82,1053.27 \n",
" 1137.75,1059.15 1130.18,1064.81 1122.09,1070.24 1113.45,1075.41 1104.21,1080.32 1094.34,1084.94 1083.81,1089.24 1072.57,1093.19 1060.6,1096.75 1047.84,1099.9 \n",
" 1034.26,1102.57 1019.82,1104.72 1004.49,1106.31 988.249,1107.25 971.037,1107.49 952.798,1106.91 933.497,1105.43 913.117,1102.94 891.659,1099.31 869.14,1094.41 \n",
" 845.596,1088.12 821.081,1080.29 795.665,1070.75 769.436,1059.35 742.502,1045.91 715.005,1030.33 687.161,1012.42 659.227,991.981 631.503,968.859 604.328,942.983 \n",
" 578.084,914.353 553.195,883.038 530.123,849.181 509.374,812.997 491.496,774.771 477.03,734.914 466.397,694.084 460.014,652.919 458.198,612.058 461.158,572.145 \n",
" 468.994,533.828 481.702,497.763 499.168,464.607 521.173,435.025 547.39,409.688 577.376,389.241 610.432,373.767 645.849,363.152 682.981,357.262 721.222,355.868 \n",
" 759.997,358.645 798.768,365.172 837.035,374.931 874.33,387.31 910.275,401.724 944.679,417.813 977.383,435.156 1008.27,453.378 1037.25,472.154 1064.31,491.209 \n",
" 1089.43,510.32 1112.68,529.312 1134.13,548.063 1153.91,566.489 1172.06,584.509 1188.68,602.093 1203.88,619.222 1217.77,635.881 1230.44,652.063 1242,667.765 \n",
" 1252.53,682.99 1262.13,697.748 1270.89,712.055 1278.9,725.931 1286.24,739.394 1292.98,752.457 1299.2,765.137 1304.96,777.447 1310.32,789.399 1315.33,801.008 \n",
" 1320.07,812.285 1324.57,823.241 1328.9,833.887 1333.08,844.23 1337.16,854.277 1341.17,864.034 1345.15,873.505 1349.13,882.696 1353.14,891.61 1357.23,900.249 \n",
" 1361.4,908.618 1365.71,916.716 1370.17,924.543 1374.81,932.096 1379.64,939.372 1384.71,946.368 1390.04,953.078 1395.64,959.496 1401.56,965.615 1407.82,971.426 \n",
" 1414.45,976.918 1421.48,982.077 1428.93,986.89 1436.84,991.337 1445.23,995.399 1454.14,999.051 1463.61,1002.27 1473.66,1005.02 1484.33,1007.28 1495.66,1009.02 \n",
" 1507.67,1010.18 1520.41,1010.73 1533.92,1010.61 1548.23,1009.77 1563.36,1008.15 1579.35,1005.68 1596.22,1002.28 1613.97,997.885 1632.63,992.409 1652.19,985.764 \n",
" 1672.66,977.864 1693.96,968.661 1716.1,958.02 1739.03,945.8 1762.69,931.887 1786.99,916.19 1811.79,898.644 1836.9,879.209 1862.13,857.871 1887.21,834.641 \n",
" 1911.88,809.554 1935.8,782.672 1958.63,754.082 1980.05,723.976 1999.64,692.661 2016.91,660.476 2031.42,627.801 2042.79,595.06 2050.69,562.722 2054.84,531.295 \n",
" 2055.01,501.333 2051.02,473.431 2042.75,448.229 2030.2,426.292 2013.64,407.909 1993.38,393.277 1969.77,382.513 1943.18,375.648 1914.05,372.629 1882.84,373.322 \n",
" 1850.04,377.504 1816.2,384.873 1781.88,395.039 1747.59,407.512 1713.7,421.821 1680.56,437.556 1648.45,454.344 1617.61,471.853 1588.2,489.791 1560.35,507.903 \n",
" 1534.11,525.976 1509.52,543.843 1486.58,561.414 1465.28,578.625 1445.56,595.429 1427.38,611.79 1410.66,627.689 1395.34,643.121 1381.34,658.097 1368.58,672.64 \n",
" 1356.97,686.775 1346.42,700.519 1336.85,713.895 1328.18,726.927 1320.34,739.635 1313.25,752.04 1306.84,764.159 1301.06,776.01 1295.83,787.609 1291.09,798.967 \n",
" 1286.8,810.097 1282.91,821.01 1279.37,831.715 1276.16,842.22 1273.23,852.534 1270.54,862.661 1268.05,872.608 1265.74,882.378 1263.58,891.973 1261.53,901.396 \n",
" 1259.57,910.652 1257.7,919.744 1255.89,928.677 1254.12,937.452 1252.37,946.072 1250.63,954.539 1248.89,962.856 1247.12,971.025 1245.31,979.049 1243.46,986.929 \n",
" 1241.55,994.668 1239.56,1002.27 1237.49,1009.73 1235.32,1017.06 1233.03,1024.25 1230.61,1031.32 1228.06,1038.25 1225.35,1045.05 1222.48,1051.73 1219.42,1058.28 \n",
" 1216.17,1064.71 1212.7,1071.01 1209,1077.18 1205.04,1083.23 1200.81,1089.16 1196.29,1094.95 1191.45,1100.62 1186.28,1106.15 1180.73,1111.55 1174.8,1116.81 \n",
" 1168.44,1121.92 1161.63,1126.87 1154.34,1131.66 1146.52,1136.27 1138.14,1140.69 1129.16,1144.9 1119.55,1148.89 1109.24,1152.64 1098.2,1156.11 1086.38,1159.27 \n",
" 1073.73,1162.09 1060.2,1164.52 1045.73,1166.5 1030.27,1167.99 1013.77,1168.91 996.205,1169.2 977.521,1168.77 957.636,1167.51 936.487,1165.31 914.034,1162.03 \n",
" 890.261,1157.53 865.174,1151.64 838.803,1144.19 811.199,1134.99 782.439,1123.83 752.62,1110.51 721.863,1094.78 690.333,1076.5 658.289,1055.45 626.049,1031.3 \n",
" 593.989,1003.83 562.544,972.928 532.208,938.571 503.534,900.847 477.132,859.942 453.675,816.146 433.889,769.852 418.514,721.621 408.098,672.386 403.128,623.036 \n",
" 403.951,574.443 410.77,527.473 423.643,482.988 442.479,441.842 467.045,404.887 496.959,372.966 531.697,346.918 570.509,327.351 612.353,314.01 656.336,306.66 \n",
" 701.642,304.968 747.516,308.479 793.268,316.616 838.27,328.68 881.96,343.852 923.862,361.263 963.742,380.43 1001.45,400.841 1036.87,422.022 1069.94,443.573 \n",
" 1100.67,465.167 1129.08,486.546 1155.26,507.529 1179.36,528.004 1201.49,547.869 1221.74,567.056 1240.27,585.573 1257.22,603.428 1272.72,620.633 1286.91,637.201 \n",
" 1299.9,653.143 1311.81,668.476 1322.75,683.215 1332.83,697.379 1342.15,710.986 1350.78,724.057 1358.84,736.629 1366.42,748.728 1373.59,760.374 1380.43,771.58 \n",
" 1386.99,782.362 1393.36,792.731 1399.58,802.698 1405.72,812.271 1411.83,821.458 1417.96,830.261 1424.14,838.68 1430.43,846.715 1436.85,854.362 1443.45,861.618 \n",
" 1450.27,868.477 1457.34,874.932 1464.69,880.975 1472.37,886.597 1480.41,891.781 1488.83,896.512 1497.65,900.768 1506.92,904.527 1516.64,907.766 1526.86,910.458 \n",
" 1537.58,912.573 1548.85,914.08 1560.67,914.947 1573.07,915.138 1586.05,914.612 1599.63,913.319 1613.83,911.207 1628.64,908.226 1644.06,904.326 1660.06,899.456 \n",
" 1676.63,893.567 1693.72,886.608 1711.3,878.529 1729.31,869.281 1747.7,858.839 1766.36,847.179 1785.19,834.241 1804.06,819.994 1822.84,804.434 1841.35,787.587 \n",
" 1859.43,769.506 1876.88,750.273 1893.49,730 1909.04,708.827 1923.29,686.921 1935.96,664.481 1946.81,641.731 1955.63,618.958 1962.23,596.471 1966.41,574.572 \n",
" 1968.01,553.549 1966.95,533.681 1963.15,515.236 1956.63,498.472 1947.42,483.635 1935.61,470.963 1921.34,460.681 1904.81,452.97 1886.28,447.763 1866.06,445.001 \n",
" 1844.43,444.611 1821.68,446.484 1798.11,450.481 1773.98,456.428 1749.57,464.118 1725.17,473.31 1701.03,483.73 1677.4,495.099 1654.44,507.273 1632.27,520.076 \n",
" 1611.01,533.339 1590.74,546.914 1571.55,560.672 1553.47,574.503 1536.54,588.315 1520.77,602.04 1506.13,615.624 1492.6,629.036 1480.14,642.253 1468.74,655.247 \n",
" 1458.35,668.009 1448.94,680.531 1440.46,692.809 1432.85,704.838 1426.1,716.619 1420.14,728.151 1414.94,739.439 1410.46,750.488 1406.66,761.305 1403.49,771.888 \n",
" 1400.93,782.242 1398.95,792.368 1397.51,802.268 1396.6,811.944 1396.18,821.395 1396.24,830.62 1396.77,839.617 1397.73,848.384 1399.13,856.916 1400.94,865.21 \n",
" 1403.18,873.262 1405.83,881.068 1408.89,888.623 1412.37,895.921 1416.27,902.952 1420.6,909.707 1425.35,916.175 1430.55,922.343 1436.19,928.198 1442.29,933.724 \n",
" 1448.87,938.906 1455.94,943.727 1463.54,948.168 1471.67,952.207 1480.35,955.818 1489.62,958.973 1499.49,961.642 1509.98,963.789 1521.12,965.379 1532.93,966.371 \n",
" 1545.42,966.73 1558.61,966.406 1572.55,965.34 1587.25,963.47 1602.73,960.732 1619.01,957.062 1636.07,952.393 1653.91,946.656 1672.5,939.781 1691.81,931.696 \n",
" 1711.78,922.326 1732.38,911.596 1753.53,899.43 1775.14,885.796 1797.09,870.646 1819.24,853.897 1841.41,835.509 1863.39,815.48 1884.98,793.856 1905.91,770.719 \n",
" 1925.93,746.198 1944.74,720.459 1962.01,693.715 1977.39,666.216 1990.53,638.258 2001.11,610.234 2008.87,582.6 2013.57,555.762 2015.02,530.102 2013.08,505.988 \n",
" 2007.7,483.765 1998.88,463.764 1986.69,446.292 1971.24,431.641 1952.73,420.084 1931.42,411.873 1907.65,407.099 1881.91,405.475 1854.62,406.826 1826.19,410.949 \n",
" 1797.01,417.61 1767.44,426.536 1737.83,437.424 1708.51,449.933 1679.79,463.689 1651.94,478.29 1625.15,493.519 1599.54,509.208 1575.19,525.167 1552.19,541.231 \n",
" 1530.57,557.263 1510.36,573.152 1491.57,588.815 1474.17,604.196 1458.12,619.263 1443.34,634.016 1429.79,648.443 1417.41,662.531 1406.15,676.284 1395.94,689.712 \n",
" 1386.71,702.822 1378.39,715.624 1370.94,728.131 1364.29,740.355 1358.38,752.309 1353.16,764.008 1348.57,775.461 1344.56,786.678 1341.1,797.666 1338.13,808.435 \n",
" 1335.63,818.991 1333.56,829.339 1331.87,839.484 1330.56,849.43 1329.58,859.18 1328.92,868.739 1328.57,878.108 1328.5,887.289 1328.7,896.284 1329.15,905.095 \n",
" 1329.86,913.719 1330.8,922.159 1331.97,930.414 1333.38,938.485 1335.01,946.371 1336.88,954.071 1338.97,961.585 1341.31,968.909 1343.88,976.043 1346.7,982.982 \n",
" 1349.77,989.725 1353.11,996.267 1356.73,1002.61 1360.63,1008.74 1364.84,1014.65 1369.38,1020.34 1374.25,1025.81 1379.48,1031.03 1385.1,1036.01 1391.12,1040.72 \n",
" 1397.57,1045.16 1404.47,1049.32 1411.87,1053.17 1419.78,1056.69 1428.24,1059.87 1437.29,1062.67 1446.97,1065.07 1457.3,1067.03 1468.34,1068.53 1480.11,1069.51 \n",
" 1492.64,1069.94 1506,1069.78 1520.23,1068.95 1535.4,1067.39 1551.56,1065.03 1568.74,1061.78 1586.97,1057.56 1606.27,1052.28 1626.67,1045.83 1648.17,1038.1 \n",
" 1670.76,1028.98 1694.44,1018.34 1719.2,1006.05 1744.98,992.01 1771.67,976.11 1799.21,958.155 1827.45,937.989 1856.21,915.506 1885.26,890.651 1914.29,863.415 \n",
" 1942.97,833.839 1970.88,802.015 1997.59,768.082 2022.57,732.229 2045.35,694.742 2065.43,656.14 2082.15,616.997 2094.94,577.909 2103.34,539.495 2107,502.395 \n",
" 2105.65,467.275 2099.14,434.821 2087.39,405.743 2070.46,380.772 2048.48,360.639 2021.96,345.569 1991.52,335.538 1957.77,330.475 1921.35,330.196 1882.87,334.408 \n",
" 1842.99,342.705 1802.36,354.571 1761.63,369.378 1721.47,386.391 1682.33,405.035 1644.51,424.85 1608.29,445.382 1573.86,466.246 1541.38,487.12 1510.92,507.751 \n",
" 1482.53,527.951 1456.14,547.598 1431.68,566.632 1409.1,585.004 1388.32,602.708 1369.25,619.757 1351.77,636.167 1335.78,651.963 1321.18,667.177 1307.85,681.846 \n",
" 1295.69,696.015 1284.59,709.727 1274.44,723.015 1265.15,735.912 1256.64,748.45 1248.81,760.655 1241.6,772.551 1234.91,784.159 1228.67,795.498 1222.82,806.581 \n",
" 1217.3,817.42 1212.03,828.027 1206.98,838.41 1202.1,848.577 1197.35,858.533 1192.67,868.283 1188.03,877.83 1183.39,887.176 1178.71,896.322 1173.94,905.266 \n",
" 1169.06,914.009 1164.03,922.549 1158.84,930.883 1153.44,939.009 1147.82,946.922 1141.93,954.617 1135.75,962.087 1129.24,969.324 1122.38,976.319 1115.14,983.061 \n",
" 1107.49,989.539 1099.4,995.738 1090.84,1001.64 1081.78,1007.23 1072.19,1012.48 1062.03,1017.37 1051.27,1021.87 1039.89,1025.94 1027.84,1029.56 1015.11,1032.68 \n",
" 1001.66,1035.25 987.459,1037.22 972.483,1038.54 956.715,1039.14 940.144,1038.94 922.765,1037.87 904.577,1035.85 885.588,1032.78 865.812,1028.58 845.314,1023.19 \n",
" 824.125,1016.46 802.293,1008.25 779.896,998.405 757.044,986.82 733.881,973.394 710.58,958.052 687.347,940.736 664.423,921.411 642.076,900.059 620.61,876.685 \n",
" 600.359,851.313 581.617,824.044 564.724,795.101 550.104,764.72 538.131,733.189 529.124,700.85 523.351,668.098 521.028,635.379 522.316,603.192 527.326,572.09 \n",
" 536.114,542.677 548.655,515.568 564.711,491.179 583.988,469.819 606.165,451.725 630.891,437.06 657.792,425.917 686.465,418.315 716.478,414.198 747.374,413.439 \n",
" 778.667,415.837 809.905,421.087 840.783,428.785 871.006,438.582 900.322,450.146 928.528,463.166 955.464,477.349 981.018,492.423 1005.12,508.134 1027.75,524.247 \n",
" 1048.91,540.578 1068.57,557.019 1086.79,573.464 1103.61,589.822 1119.08,606.019 1133.27,621.994 1146.22,637.703 1158.01,653.117 1168.72,668.223 1178.41,683.011 \n",
" 1187.16,697.474 1195.03,711.613 1202.1,725.428 1208.42,738.924 1214.06,752.105 1219.07,764.98 1223.51,777.555 1227.42,789.841 1230.85,801.846 1233.85,813.577 \n",
" 1236.44,825.045 1238.67,836.255 1240.56,847.217 1242.15,857.938 1243.45,868.426 1244.51,878.688 1245.33,888.731 1245.93,898.562 1246.33,908.186 1246.55,917.61 \n",
" 1246.59,926.839 1246.46,935.878 1246.17,944.734 1245.74,953.411 1245.16,961.914 1244.43,970.247 1243.57,978.415 1242.57,986.422 1241.43,994.273 1240.14,1001.97 \n",
" 1238.72,1009.52 1237.15,1016.92 1235.44,1024.18 1233.56,1031.3 1231.53,1038.28 1229.32,1045.13 1226.94,1051.85 1224.36,1058.44 1221.59,1064.9 1218.6,1071.24 \n",
" 1215.39,1077.45 1211.94,1083.53 1208.23,1089.5 1204.25,1095.34 1199.98,1101.05 1195.39,1106.64 1190.46,1112.1 1185.18,1117.43 1179.51,1122.63 1173.42,1127.68 \n",
" 1166.9,1132.58 1159.89,1137.33 1152.38,1141.93 1144.32,1146.34 1135.68,1150.56 1126.41,1154.57 1116.47,1158.35 1105.82,1161.87 1094.4,1165.1 1082.17,1168.01 \n",
" 1069.07,1170.57 1055.08,1172.71 1040.11,1174.4 1024.1,1175.58 1006.99,1176.16 988.731,1176.07 969.269,1175.21 948.569,1173.45 926.601,1170.69 903.341,1166.77 \n",
" 878.772,1161.54 852.886,1154.85 825.719,1146.55 797.348,1136.45 767.796,1124.27 737.149,1109.71 705.562,1092.53 673.258,1072.5 640.528,1049.45 607.73,1023.22 \n",
" 575.294,993.68 543.714,960.736 513.555,924.326 485.374,884.48 459.761,841.514 437.565,795.805 419.538,747.846 406.324,698.253 398.454,647.765 396.351,597.245 \n",
" 400.327,547.678 410.582,500.172 427.207,455.96 450.066,416.294 478.527,381.922 511.91,353.292 549.504,330.691 590.566,314.247 634.318,303.928 679.951,299.543 \n",
" 726.62,300.74 773.449,307.007 819.607,317.633 864.598,331.73 907.994,348.556 949.452,367.448 988.724,387.81 1025.65,409.12 1060.17,430.925 1092.3,452.841 \n",
" 1122.1,474.58 1149.6,495.973 1174.93,516.886 1198.19,537.217 1219.51,556.891 1239.03,575.861 1256.86,594.109 1273.15,611.646 1288.05,628.489 1301.67,644.657 \n",
" 1314.16,660.178 1325.62,675.081 1336.16,689.392 1345.9,703.136 1354.94,716.34 1363.37,729.027 1371.29,741.221 1378.78,752.944 1385.92,764.214 1392.77,775.045 \n",
" 1399.39,785.446 1405.84,795.429 1412.19,805.002 1418.48,814.171 1424.77,822.941 1431.12,831.318 1437.57,839.302 1444.17,846.89 1450.93,854.077 1457.91,860.857 \n",
" 1465.14,867.22 1472.64,873.157 1480.46,878.656 1488.63,883.702 1497.17,888.281 1506.12,892.376 1515.5,895.964 1525.34,899.019 1535.66,901.514 1546.49,903.417 \n",
" 1557.84,904.698 1569.73,905.32 1582.17,905.247 1595.19,904.44 1608.77,902.857 1622.94,900.459 1637.68,897.203 1652.98,893.027 1668.83,887.875 1685.21,881.696 \n",
" 1702.07,874.443 1719.37,866.075 1737.04,856.558 1754.99,845.86 1773.13,833.958 1791.36,820.832 1809.56,806.477 1827.61,790.928 1845.32,774.208 1862.48,756.365 \n",
" 1878.88,737.478 1894.33,717.656 1908.61,697.041 1921.52,675.803 1932.84,654.146 1942.38,632.302 1949.9,610.535 1955.21,589.141 1958.1,568.441 1958.5,548.744 \n",
" 1956.35,530.325 1951.63,513.43 1944.34,498.274 1934.55,485.043 1922.37,473.892 1907.93,464.946 1891.42,458.298 1873.08,454.013 1853.17,452.126 1831.99,452.541 \n",
" 1809.85,455.042 1787.02,459.467 1763.79,465.641 1740.41,473.38 1717.1,482.491 1694.08,492.772 1671.54,504.011 1649.65,515.986 1628.56,528.469 1608.37,541.334 \n",
" 1589.15,554.484 1570.95,567.805 1553.81,581.202 1537.75,594.593 1522.79,607.911 1508.91,621.102 1496.11,634.129 1484.36,646.968 1473.61,659.608 1463.85,672.028 \n",
" 1455.02,684.22 1447.1,696.179 1440.02,707.903 1433.77,719.391 1428.29,730.641 1423.54,741.653 1419.5,752.43 1416.13,762.973 1413.39,773.287 1411.24,783.371 \n",
" 1409.67,793.225 1408.64,802.85 1408.13,812.246 1408.13,821.412 1408.62,830.346 1409.59,839.045 1411.01,847.505 1412.89,855.721 1415.2,863.687 1417.95,871.395 \n",
" 1421.13,878.838 1424.74,886.008 1428.8,892.899 1433.3,899.5 1438.25,905.801 1443.66,911.788 1449.55,917.446 1455.92,922.758 1462.79,927.706 1470.17,932.27 \n",
" 1478.08,936.427 1486.53,940.153 1495.55,943.424 1505.16,946.209 1515.39,948.477 1526.25,950.193 1537.77,951.315 1549.95,951.803 1562.83,951.61 1576.4,950.686 \n",
" 1590.7,948.977 1605.72,946.429 1621.44,943.006 1637.87,938.642 1655.03,933.244 1672.91,926.727 1691.5,919.015 1710.74,910.041 1730.58,899.746 1750.94,888.078 \n",
" 1771.71,874.996 1792.77,860.466 1813.97,844.463 1835.15,826.969 1856.13,807.977 1876.73,787.505 1896.73,765.659 1915.83,742.547 1933.71,718.314 1950.08,693.144 \n",
" 1964.63,667.262 1977.11,640.934 1987.24,614.466 1994.78,588.207 1999.5,562.543 2001.17,537.904 1999.6,514.759 1994.7,493.561 1986.56,474.602 1975.31,458.104 \n",
" 1961.1,444.245 1944.13,433.157 1924.62,424.925 1902.84,419.587 1879.08,417.136 1853.69,417.516 1827.02,420.629 1799.49,426.32 1771.5,434.214 1743.43,443.954 \n",
" 1715.56,455.247 1688.18,467.818 1661.5,481.406 1635.73,495.766 1611,510.671 1587.44,525.908 1565.11,541.281 1544.08,556.665 1524.37,571.987 1505.98,587.172 \n",
" 1488.89,602.159 1473.07,616.9 1458.5,631.359 1445.14,645.514 1432.93,659.357 1421.82,672.89 1411.75,686.126 1402.66,699.064 1394.49,711.711 1387.18,724.077 \n",
" 1380.67,736.171 1374.92,748.003 1369.87,759.582 1365.47,770.916 1361.68,782.013 1358.45,792.882 1355.74,803.526 1353.52,813.951 1351.76,824.164 1350.43,834.169 \n",
" 1349.51,843.97 1348.97,853.571 1348.81,862.973 1348.99,872.177 1349.51,881.182 1350.34,889.987 1351.47,898.59 1352.89,906.988 1354.61,915.182 1356.62,923.173 \n",
" 1358.93,930.957 1361.53,938.533 1364.44,945.896 1367.65,953.041 1371.17,959.965 1375.02,966.661 1379.19,973.121 1383.72,979.339 1388.6,985.307 1393.87,991.017 \n",
" 1399.53,996.458 1405.62,1001.62 1412.15,1006.48 1419.14,1011.03 1426.63,1015.24 1434.63,1019.11 1443.18,1022.59 1452.31,1025.68 1462.05,1028.34 1472.43,1030.54 \n",
" 1483.51,1032.24 1495.3,1033.41 1507.86,1033.99 1521.21,1033.93 1535.39,1033.19 1550.43,1031.68 1566.37,1029.36 1583.23,1026.14 1601.04,1021.95 1619.76,1016.76 \n",
" 1639.44,1010.43 1660.12,1002.83 1681.83,993.835 1704.55,983.321 1728.22,971.184 1752.78,957.327 1778.12,941.662 1804.08,924.11 1830.5,904.602 1857.18,883.079 \n",
" 1883.87,859.491 1910.32,833.799 1936.26,806.037 1961.33,776.36 1985.05,744.926 2006.94,711.967 2026.56,677.789 2043.46,642.771 2057.23,607.364 2067.46,572.095 \n",
" 2073.79,537.563 2075.85,504.44 2073.3,473.464 2066.1,445.284 2054.3,420.402 2038.08,399.221 2017.64,382.048 1993.33,369.089 1965.53,360.451 1934.74,356.141 \n",
" 1901.55,356.066 1866.6,360.021 1830.52,367.508 1793.86,378.001 1757.15,391.027 1720.84,406.125 1685.3,422.846 1650.87,440.756 1617.79,459.433 1586.27,478.468 \n",
" 1556.43,497.579 1528.35,516.619 1502.05,535.43 1477.53,553.886 1454.77,571.895 1433.74,589.395 1414.36,606.358 1396.55,622.786 1380.23,638.692 1365.31,654.085 \n",
" 1351.68,668.991 1339.26,683.436 1327.95,697.448 1317.65,711.054 1308.3,724.279 1299.79,737.153 1292.06,749.7 1285.01,761.943 1278.57,773.903 1272.69,785.595 \n",
" 1267.3,797.037 1262.35,808.242 1257.77,819.223 1253.53,829.989 1249.56,840.548 1245.82,850.908 1242.26,861.074 1238.86,871.052 1235.58,880.846 1232.39,890.462 \n",
" 1229.27,899.903 1226.17,909.171 1223.07,918.27 1219.96,927.2 1216.79,935.964 1213.55,944.562 1210.21,952.996 1206.76,961.268 1203.18,969.377 1199.44,977.324 \n",
" 1195.52,985.108 1191.4,992.729 1187.05,1000.18 1182.45,1007.47 1177.58,1014.59 1172.42,1021.54 1166.95,1028.31 1161.13,1034.9 1154.94,1041.31 1148.35,1047.51 \n",
" 1141.34,1053.52 1133.87,1059.3 1125.9,1064.86 1117.41,1070.17 1108.37,1075.23 1098.72,1080 1088.45,1084.47 1077.5,1088.61 1065.84,1092.38 1053.44,1095.74 \n",
" 1040.23,1098.66 1026.2,1101.08 1011.3,1102.96 995.504,1104.22 978.753,1104.81 961.002,1104.63 942.221,1103.6 922.393,1101.6 901.514,1098.53 879.594,1094.27 \n",
" 856.656,1088.68 832.736,1081.62 807.884,1072.94 782.164,1062.49 755.692,1050.16 728.612,1035.76 701.097,1019.04 673.366,999.836 645.689,978.026 618.379,953.54 \n",
" 591.799,926.364 566.358,896.535 542.513,864.146 520.767,829.341 501.655,792.329 485.599,753.541 473.128,713.508 464.712,672.788 460.717,631.971 461.403,591.688 \n",
" 466.925,552.602 477.331,515.415 492.563,480.863 512.46,449.721 536.748,422.784 564.899,400.451 596.282,382.842 630.289,370.026 666.326,361.957 703.8,358.475 \n",
" 742.127,359.304 780.732,364.055 819.043,372.225 856.516,383.214 892.833,396.559 927.753,411.796 961.068,428.477 992.618,446.209 1022.3,464.645 1050.06,483.488 \n",
" 1075.88,502.493 1099.84,521.463 1122.01,540.252 1142.47,558.753 1161.27,576.899 1178.52,594.645 1194.3,611.955 1208.73,628.805 1221.89,645.178 1233.89,661.07 \n",
" 1244.81,676.486 1254.77,691.442 1263.85,705.951 1272.15,720.028 1279.73,733.689 1286.68,746.947 1293.06,759.818 1298.95,772.316 1304.41,784.455 1309.5,796.248 \n",
" 1314.29,807.707 1318.81,818.846 1323.13,829.673 1327.28,840.196 1331.29,850.422 1335.21,860.358 1339.07,870.011 1342.91,879.385 1346.76,888.486 1350.66,897.317 \n",
" 1354.63,905.883 1358.7,914.183 1362.9,922.217 1367.26,929.985 1371.79,937.485 1376.52,944.714 1381.48,951.668 1386.7,958.345 1392.21,964.738 1398.03,970.838 \n",
" 1404.18,976.638 1410.7,982.126 1417.61,987.288 1424.95,992.11 1432.73,996.574 1441,1000.66 1449.78,1004.35 1459.12,1007.61 1469.04,1010.43 1479.58,1012.76 \n",
" 1490.78,1014.58 1502.67,1015.84 1515.29,1016.5 1528.67,1016.5 1542.85,1015.79 1557.85,1014.32 1573.71,1012.01 1590.46,1008.8 1608.11,1004.61 1626.65,999.388 \n",
" 1646.09,993.03 1666.48,985.411 1687.81,976.417 1710.04,965.945 1733.13,953.899 1756.99,940.191 1781.51,924.742 1806.55,907.482 1831.94,888.35 1857.49,867.292 \n",
" 1882.97,844.264 1908.16,819.279 1932.75,792.43 1956.33,763.814 1978.49,733.596 1998.82,702.014 2016.93,669.373 2032.42,636.049 2044.89,602.488 2053.96,569.207 \n",
" 2059.25,536.789 2060.38,505.909 2057.23,477.246 2049.79,451.257 2038.15,428.322 2022.47,408.757 2002.95,392.81 1979.87,380.666 1953.59,372.446 1924.52,368.206 \n",
" 1893.13,367.935 1859.98,371.548 1825.7,378.544 1790.85,388.378 1755.91,400.617 1721.3,414.84 1687.4,430.636 1654.49,447.61 1622.83,465.376 1592.6,483.563 \n",
" 1563.94,501.888 1536.93,520.206 1511.6,538.368 1487.94,556.253 1465.96,573.765 1445.61,590.84 1426.85,607.437 1409.61,623.548 1393.8,639.188 1379.34,654.364 \n",
" 1366.15,669.089 1354.12,683.387 1343.19,697.28 1333.26,710.791 1324.26,723.943 1316.1,736.759 1308.71,749.261 1302.02,761.47 1295.95,773.404 1290.45,785.08 \n",
" 1285.45,796.51 1280.91,807.71 1276.78,818.689 1273,829.458 1269.54,840.025 1266.35,850.397 1263.39,860.58 1260.61,870.577 1258,880.395 1255.53,890.037 \n",
" 1253.16,899.508 1250.88,908.811 1248.67,917.951 1246.5,926.929 1244.34,935.748 1242.19,944.409 1240.01,952.916 1237.81,961.271 1235.55,969.476 1233.22,977.533 \n",
" 1230.81,985.444 1228.31,993.21 1225.69,1000.83 1222.94,1008.32 1220.04,1015.66 1216.98,1022.86 1213.75,1029.92 1210.32,1036.85 1206.68,1043.63 1202.8,1050.28 \n",
" 1198.68,1056.79 1194.28,1063.16 1189.59,1069.39 1184.59,1075.48 1179.24,1081.41 1173.53,1087.19 1167.42,1092.82 1160.89,1098.28 1153.91,1103.57 1146.44,1108.67 \n",
" 1138.45,1113.57 1129.91,1118.27 1120.77,1122.73 1110.99,1126.95 1100.54,1130.89 1089.36,1134.53 1077.42,1137.84 1064.65,1140.79 1051.01,1143.31 1036.46,1145.36 \n",
" 1020.95,1146.89 1004.43,1147.81 986.845,1148.05 968.162,1147.53 948.372,1146.17 927.445,1143.86 905.308,1140.45 881.926,1135.78 857.294,1129.69 831.441,1122.02 \n",
" 804.431,1112.58 776.359,1101.2 747.356,1087.68 717.584,1071.82 687.24,1053.43 656.553,1032.28 625.77,1008.27 595.284,981.258 565.586,951.074 537.186,917.664 \n",
" 510.613,881.102 486.42,841.588 465.175,799.447 447.469,755.128 433.914,709.206 425.139,662.381 421.653,615.525 423.688,569.62 431.408,525.556 444.833,484.166 \n",
" 463.834,446.219 488.135,412.423 517.315,383.427 550.802,359.816 587.88,342.113 627.714,330.308 669.47,324.026 712.382,322.919 755.752,326.553 798.956,334.406 \n",
" 841.438,345.873 882.717,360.261 922.383,376.805 960.176,394.993 995.951,414.39 1029.6,434.568 1061.08,455.162 1090.36,475.872 1117.48,496.461 1142.51,516.754 \n",
" 1165.57,536.636 1186.75,556.006 1206.16,574.82 1223.92,593.054 1240.17,610.69 1255.02,627.722 1268.58,644.151 1280.98,659.989 1292.32,675.255 1302.72,689.979 \n",
" 1312.27,704.181 1321.09,717.884 1329.25,731.108 1336.83,743.874 1343.92,756.198 1350.6,768.1 1356.93,779.593 1362.99,790.694 1368.83,801.413 1374.51,811.761 \n",
" 1380.08,821.744 1385.58,831.369 1391.07,840.64 1396.58,849.561 1402.16,858.133 1407.85,866.36 1413.7,874.239 1419.72,881.767 1425.96,888.938 1432.45,895.746 \n",
" 1439.22,902.181 1446.3,908.233 1453.72,913.89 1461.52,919.139 1469.72,923.964 1478.37,928.347 1487.48,932.266 1497.08,935.695 1507.21,938.606 1517.88,940.969 \n",
" 1529.14,942.749 1540.99,943.908 1553.47,944.409 1566.6,944.206 1580.4,943.255 1594.86,941.512 1610.02,938.914 1625.88,935.394 1642.44,930.888 1659.7,925.332 \n",
" 1677.63,918.664 1696.18,910.821 1715.32,901.745 1734.98,891.377 1755.09,879.659 1775.55,866.536 1796.26,852.003 1817.08,836.018 1837.82,818.551 1858.3,799.609 \n",
" 1878.3,779.239 1897.59,757.526 1915.93,734.595 1933.06,710.61 1948.7,685.774 1962.55,660.327 1974.29,634.552 1983.63,608.778 1990.37,583.397 1994.29,558.788 \n",
" 1995.22,535.303 1993.04,513.279 1987.71,493.03 1979.23,474.848 1967.68,459.008 1953.18,445.762 1935.93,435.343 1916.17,427.959 1894.25,423.563 1870.54,421.99 \n",
" 1845.41,423.105 1819.21,426.74 1792.29,432.693 1764.97,440.725 1737.58,450.566 1710.41,461.91 1683.75,474.418 1657.85,487.787 1632.86,501.86 1608.89,516.436 \n",
" 1586.05,531.335 1564.42,546.403 1544.06,561.509 1524.99,576.548 1507.23,591.438 1490.75,606.124 1475.51,620.573 1461.46,634.766 1448.59,648.676 1436.84,662.296 \n",
" 1426.15,675.626 1416.47,688.666 1407.74,701.418 1399.91,713.887 1392.92,726.079 1386.73,738.005 1381.29,749.674 1376.54,761.098 1372.43,772.281 1368.93,783.231 \n",
" 1365.99,793.954 1363.58,804.455 1361.66,814.739 1360.22,824.81 1359.2,834.67 1358.6,844.32 1358.39,853.762 1358.54,862.998 1359.06,872.028 1359.93,880.852 \n",
" 1361.14,889.471 1362.68,897.882 1364.55,906.084 1366.74,914.072 1369.25,921.843 1372.08,929.393 1375.23,936.717 1378.72,943.812 1382.54,950.671 1386.72,957.288 \n",
" 1391.27,963.656 1396.19,969.764 1401.5,975.603 1407.23,981.159 1413.38,986.422 1419.98,991.373 1427.05,995.999 1434.62,1000.28 1442.72,1004.2 1451.37,1007.73 \n",
" 1460.61,1010.85 1470.46,1013.52 1480.95,1015.71 1492.13,1017.39 1504.01,1018.5 1516.64,1019.02 1530.03,1018.89 1544.21,1018.07 1559.25,1016.48 1575.18,1014.04 \n",
" 1592.03,1010.69 1609.83,1006.33 1628.58,1000.9 1648.28,994.287 1668.91,986.416 1690.44,977.186 1712.84,966.498 1736.05,954.249 1760.01,940.331 1784.63,924.676 \n",
" 1809.78,907.222 1835.28,887.839 1860.94,866.45 1886.53,843.032 1911.76,817.618 1936.33,790.297 1959.89,761.21 1982.06,730.556 2002.41,698.588 2020.47,665.616 \n",
" 2035.79,632.023 2048,598.381 2056.7,565.243 2061.56,533.134 2062.34,502.559 2058.88,474.007 2051.12,447.945 2039.08,424.823 2022.87,405.071 2002.67,389.1 \n",
" 1978.78,377.303 1951.6,369.893 1921.77,366.551 1889.84,367.056 1856.35,371.151 1821.82,378.521 1786.73,388.794 1751.54,401.545 1716.7,416.291 1682.63,432.493 \n",
" 1649.69,449.629 1618.06,467.474 1587.9,485.751 1559.31,504.207 1532.39,522.633 1507.19,540.856 1483.71,558.749 1461.94,576.224 1441.82,593.235 1423.27,609.776 \n",
" 1406.18,625.854 1390.53,641.444 1376.22,656.566 1363.16,671.242 1351.26,685.495 1340.44,699.346 1330.6,712.817 1321.68,725.93 1313.59,738.707 1306.27,751.169 \n",
" 1299.64,763.34 1293.63,775.239 1288.17,786.88 1283.21,798.278 1278.7,809.446 1274.58,820.395 1270.81,831.134 1267.34,841.672 1264.13,852.016 1261.15,862.17 \n",
" 1258.34,872.14 1255.69,881.931 1253.17,891.547 1250.75,900.993 1248.41,910.271 1246.13,919.386 1243.88,928.339 1241.64,937.134 1239.39,945.772 1237.11,954.254 \n",
" 1234.79,962.584 1232.41,970.763 1229.94,978.794 1227.39,986.679 1224.73,994.418 1221.94,1002.01 1219,1009.47 1215.91,1016.78 1212.64,1023.95 1209.17,1030.97 \n",
" 1205.5,1037.86 1201.6,1044.61 1197.45,1051.22 1193.03,1057.68 1188.31,1064 1183.28,1070.17 1177.91,1076.19 1172.18,1082.05 1166.05,1087.75 1159.5,1093.29 \n",
" 1152.5,1098.64 1145.01,1103.82 1137.01,1108.79 1128.45,1113.54 1119.29,1118.06 1109.51,1122.33 1099.05,1126.32 1087.87,1130 1075.94,1133.35 1063.19,1136.32 \n",
" 1049.57,1138.87 1035.04,1140.95 1019.54,1142.5 1003.04,1143.45 985.496,1143.72 966.86,1143.21 947.101,1141.84 926.184,1139.48 904.091,1136.04 880.863,1131.41 \n",
" 856.459,1125.39 830.863,1117.79 804.107,1108.41 776.269,1097.06 747.473,1083.54 717.89,1067.69 687.737,1049.32 657.28,1028.25 626.828,1004.34 596.738,977.412 \n",
" 567.365,947.388 539.161,914.325 512.783,878.247 488.856,839.301 467.972,797.769 450.688,754.065 437.524,708.733 428.969,662.45 425.472,616.027 427.452,570.404 \n",
" 435.209,526.631 448.634,485.656 467.524,448.27 491.567,415.135 520.343,386.79 553.322,363.647 589.86,345.99 629.205,333.977 670.496,327.632 712.938,326.522 \n",
" 755.832,330.045 798.542,337.647 840.524,348.761 881.328,362.803 920.591,379.174 958.047,397.261 993.514,416.452 1026.87,436.384 1058.09,456.753 1087.16,477.276 \n",
" 1114.11,497.716 1139.01,517.891 1161.93,537.666 1182.98,556.956 1202.28,575.708 1219.94,593.88 1236.09,611.467 1250.85,628.468 1264.33,644.886 1276.65,660.731 \n",
" 1287.92,676.017 1298.24,690.762 1307.72,704.991 1316.46,718.728 1324.54,731.995 1332.05,744.809 1339.07,757.19 1345.66,769.152 1351.89,780.711 1357.84,791.882 \n",
" 1363.57,802.675 1369.12,813.104 1374.57,823.175 1379.95,832.896 1385.3,842.269 1390.66,851.299 1396.09,859.988 1401.61,868.337 1407.27,876.345 1413.1,884.011 \n",
" 1419.14,891.332 1425.42,898.301 1431.96,904.909 1438.81,911.148 1445.99,917.005 1453.53,922.467 1461.47,927.519 1469.83,932.143 1478.64,936.323 1487.94,940.034 \n",
" 1497.76,943.25 1508.12,945.942 1519.05,948.076 1530.58,949.617 1542.73,950.525 1555.52,950.757 1568.99,950.268 1583.14,949.009 1597.99,946.93 1613.54,943.982 \n",
" 1629.8,940.092 1646.79,935.185 1664.49,929.189 1682.88,922.037 1701.92,913.665 1721.56,904.013 1741.72,893.022 1762.32,880.64 1783.25,866.816 1804.39,851.503 \n",
" 1825.63,834.698 1846.77,816.404 1867.59,796.621 1887.86,775.394 1907.32,752.811 1925.71,729.006 1942.76,704.154 1958.19,678.476 1971.7,652.236 1983,625.744 \n",
" 1991.76,599.351 1997.72,573.469 2000.71,548.526 2000.58,524.897 1997.25,502.925 1990.68,482.921 1980.91,465.166 1968.03,449.907 1952.2,437.361 1933.62,427.712 \n",
" 1912.56,421.114 1889.37,417.669 1864.45,417.172 1838.2,419.382 1811.02,424.088 1783.25,431.057 1755.23,440.035 1727.28,450.745 1699.67,462.89 1672.67,476.15 \n",
" 1646.52,490.188 1621.38,504.801 1597.35,519.83 1574.53,535.107 1552.97,550.487 1532.71,565.847 1513.78,581.089 1496.18,596.141 1479.88,610.952 1464.85,625.495 \n",
" 1451.02,639.758 1438.37,653.719 1426.83,667.374 1416.35,680.728 1406.87,693.781 1398.33,706.541 1390.68,719.014 1383.85,731.209 1377.8,743.135 1372.48,754.805 \n",
" 1367.83,766.23 1363.8,777.415 1360.36,788.369 1357.46,799.098 1355.07,809.609 1353.15,819.905 1351.67,829.992 1350.61,839.871 1349.94,849.545 1349.63,859.016 \n",
" 1349.67,868.286 1350.06,877.355 1350.77,886.226 1351.8,894.897 1353.13,903.368 1354.77,911.637 1356.7,919.701 1358.92,927.558 1361.44,935.204 1364.26,942.638 \n",
" 1367.38,949.855 1370.82,956.851 1374.58,963.621 1378.68,970.158 1383.11,976.455 1387.91,982.504 1393.08,988.294 1398.65,993.814 1404.63,999.053 1411.04,1004 \n",
" 1417.92,1008.64 1425.28,1012.95 1433.16,1016.91 1441.57,1020.51 1450.56,1023.71 1460.16,1026.48 1470.39,1028.8 1481.29,1030.63 1492.88,1031.94 1505.22,1032.67 \n",
" 1518.35,1032.78 1532.31,1032.22 1547.13,1030.92 1562.86,1028.81 1579.5,1025.82 1597.1,1021.87 1615.65,1016.88 1635.18,1010.75 1655.68,1003.4 1677.16,994.706 \n",
" 1699.59,984.598 1722.9,972.991 1747.07,959.714 1772.02,944.625 1797.67,927.611 1823.86,908.593 1850.39,887.522 1877.04,864.383 1903.53,839.189 1929.54,811.987 \n",
" 1954.7,782.856 1978.62,751.906 2000.94,719.333 2021.21,685.51 2038.88,650.848 2053.45,615.792 2064.5,580.828 2071.67,546.475 2074.67,513.292 2073.28,481.873 \n",
" 2067.36,452.848 2056.82,426.886 2041.66,404.673 2022.17,386.557 1998.77,372.674 1971.93,363.092 1942.11,357.785 1909.81,356.635 1875.55,359.427 1839.88,365.855 \n",
" 1803.38,375.517 1766.63,387.918 1730.23,402.497 1694.52,418.773 1659.83,436.3 1626.43,454.683 1594.54,473.577 1564.31,492.69 1535.83,511.781 1509.14,530.661 \n",
" 1484.23,549.192 1461.08,567.282 1439.65,584.885 1419.88,601.977 1401.69,618.546 1385,634.588 1369.73,650.112 1355.78,665.133 1343.07,679.682 1331.5,693.794 \n",
" 1320.97,707.496 1311.39,720.815 1302.69,733.777 1294.77,746.408 1287.57,758.73 1281.01,770.763 1275.02,782.526 1269.54,794.034 1264.49,805.302 1259.83,816.341 \n",
" 1255.51,827.161 1251.48,837.773 1247.69,848.184 1244.12,858.401 1240.73,868.431 1237.47,878.278 1234.3,887.946 1231.2,897.437 1228.14,906.754 1225.08,915.9 \n",
" 1222.01,924.878 1218.9,933.69 1215.73,942.337 1212.48,950.821 1209.12,959.142 1205.64,967.301 1202,975.299 1198.19,983.135 1194.19,990.808 1189.98,998.32 \n",
" 1185.54,1005.67 1180.84,1012.85 1175.86,1019.86 1170.57,1026.7 1164.95,1033.36 1158.97,1039.84 1152.61,1046.12 1145.84,1052.21 1138.62,1058.09 1130.93,1063.76 \n",
" 1122.74,1069.19 1114.01,1074.37 1104.7,1079.28 1094.77,1083.9 1084.2,1088.2 1072.93,1092.16 1060.94,1095.73 1048.18,1098.89 1034.59,1101.59 1020.14,1103.77 \n",
" 1004.79,1105.37 988.503,1106.33 971.249,1106.57 952.999,1106 933.729,1104.53 913.418,1102.04 892.063,1098.46 869.708,1093.67 846.334,1087.51 821.951,1079.78 \n",
" 796.61,1070.31 770.403,1058.94 743.465,1045.51 715.97,1029.89 688.133,1011.93 660.212,991.509 632.504,968.513 605.35,942.833 579.077,914.436 554.097,883.415 \n",
" 530.982,849.85 510.272,813.926 492.468,775.928 478.033,736.247 467.393,695.38 460.933,653.926 459.004,612.589 461.915,572.177 469.893,533.616 482.826,497.745 \n",
" 500.45,465.127 522.445,436.228 548.433,411.429 577.974,391.026 610.572,375.224 645.67,364.144 682.654,357.821 720.849,356.2 759.561,358.92 798.221,365.296 \n",
" 836.348,374.822 873.535,387.006 909.451,401.371 943.84,417.457 976.519,434.817 1007.38,453.02 1036.36,471.715 1063.43,490.699 1088.61,509.77 1111.94,528.76 \n",
" 1133.49,547.529 1153.31,565.973 1171.51,584.016 1188.16,601.617 1203.4,618.759 1217.3,635.417 1229.99,651.595 1241.56,667.295 1252.1,682.527 1261.71,697.298 \n",
" 1270.48,711.623 1278.5,725.513 1285.85,738.987 1292.6,752.062 1298.83,764.755 1304.61,777.079 1309.98,789.047 1315.02,800.67 1319.76,811.96 1324.25,822.927 \n",
" 1328.56,833.582 1332.72,843.932 1336.78,853.988 1340.78,863.756 1344.75,873.241 1348.73,882.446 1352.74,891.375 1356.81,900.029 1360.98,908.411 1365.27,916.522 \n",
" 1369.7,924.361 1374.32,931.928 1379.14,939.22 1384.19,946.234 1389.5,952.962 1395.08,959.4 1400.97,965.538 1407.2,971.368 1413.79,976.878 1420.78,982.057 \n",
" 1428.2,986.891 1436.06,991.362 1444.42,995.45 1453.29,999.134 1462.71,1002.39 1472.72,1005.18 1483.35,1007.48 1494.63,1009.25 1506.59,1010.45 1519.28,1011.04 \n",
" 1532.73,1010.97 1546.95,1010.2 1562,1008.65 1577.91,1006.25 1594.71,1002.93 1612.41,998.619 1631.03,993.226 1650.56,986.667 1670.98,978.853 1692.28,969.69 \n",
" 1714.41,959.081 1737.34,946.924 1760.98,933.167 1785.22,917.706 1809.94,900.412 1834.99,881.2 1860.17,860.029 1885.25,836.904 1909.95,811.873 1933.97,785.029 \n",
" 1956.95,756.511 1978.5,726.501 1998.21,695.227 2015.66,662.987 2030.5,630.238 2042.26,597.466 2050.55,565.159 2055.05,533.808 2055.55,503.911 2051.9,475.968 \n",
" 2044.03,450.482 2031.97,427.963 2015.81,408.923 1995.75,393.836 1972.2,382.753 1945.64,375.641 1916.55,372.425 1885.42,372.952 1852.72,376.994 1818.95,384.239 \n",
" 1784.6,394.302 1750.19,406.716 1716.2,420.943 1682.99,436.588 1650.79,453.312 1619.83,470.775 1590.29,488.681 1562.3,506.778 1535.95,524.858 1511.28,542.759 \n",
" 1488.28,560.362 1466.91,577.593 1447.1,594.409 1428.84,610.776 1412.05,626.689 1396.66,642.15 1382.57,657.163 1369.73,671.742 1358.03,685.901 1347.41,699.664 \n",
" 1337.79,713.058 1329.06,726.107 1321.17,738.832 1314.04,751.253 1307.59,763.388 1301.77,775.254 1296.52,786.868 1291.77,798.242 1287.47,809.387 1283.58,820.315 \n",
" 1280.03,831.034 1276.8,841.551 1273.85,851.875 1271.14,862.01 1268.64,871.964 1266.32,881.741 1264.16,891.345 1262.13,900.779 1260.19,910.046 1258.33,919.149 \n",
" 1256.53,928.09 1254.78,936.874 1253.05,945.503 1251.34,953.979 1249.62,962.305 1247.88,970.484 1246.11,978.516 1244.3,986.405 1242.42,994.152 1240.47,1001.76 \n",
" 1238.44,1009.23 1236.31,1016.57 1234.08,1023.77 1231.72,1030.84 1229.23,1037.78 1226.59,1044.6 1223.78,1051.28 1220.8,1057.84 1217.62,1064.28 1214.23,1070.59 \n",
" 1210.62,1076.78 1206.76,1082.84 1202.64,1088.78 1198.23,1094.6 1193.51,1100.28 1188.46,1105.83 1183.05,1111.25 1177.26,1116.53 1171.06,1121.67 1164.42,1126.66 \n",
" 1157.3,1131.48 1149.67,1136.14 1141.49,1140.61 1132.73,1144.88 1123.34,1148.93 1113.29,1152.74 1102.52,1156.28 1090.98,1159.54 1078.63,1162.46 1065.4,1165.03 \n",
" 1051.25,1167.17 1036.13,1168.84 1019.98,1169.96 1002.76,1170.47 984.401,1170.27 964.865,1169.29 944.134,1167.42 922.191,1164.55 898.953,1160.52 874.379,1155.15 \n",
" 848.46,1148.27 821.231,1139.69 792.76,1129.2 763.156,1116.62 732.565,1101.71 701.173,1084.27 669.201,1064.07 636.911,1040.86 604.577,1014.55 572.661,984.971 \n",
" 541.719,951.944 512.325,915.437 485.072,875.557 460.573,832.561 439.458,786.845 422.377,738.953 409.996,689.57 403.002,639.526 401.87,589.852 406.799,541.629 \n",
" 417.898,495.836 435.109,453.37 458.212,415.052 486.819,381.621 520.379,353.738 558.177,331.986 599.337,316.768 642.927,307.736 688.063,304.477 733.944,306.531 \n",
" 779.851,313.35 825.153,324.291 869.302,338.625 911.832,355.529 952.394,374.259 990.811,394.373 1026.97,415.384 1060.79,436.875 1092.27,458.499 1121.42,479.984 \n",
" 1148.31,501.125 1173.08,521.791 1195.83,541.872 1216.67,561.315 1235.74,580.097 1253.19,598.205 1269.14,615.633 1283.72,632.388 1297.05,648.483 1309.26,663.942 \n",
" 1320.47,678.798 1330.78,693.079 1340.32,706.811 1349.15,720.018 1357.4,732.724 1365.12,744.949 1372.42,756.713 1379.36,768.032 1386.02,778.924 1392.48,789.4 \n",
" 1398.77,799.472 1404.96,809.144 1411.1,818.424 1417.24,827.315 1423.42,835.819 1429.69,843.938 1436.09,851.672 1442.67,859.017 1449.47,865.969 1456.5,872.518 \n",
" 1463.81,878.655 1471.44,884.368 1479.4,889.643 1487.73,894.463 1496.46,898.813 1505.63,902.671 1515.26,906.018 1525.37,908.826 1535.99,911.064 1547.14,912.7 \n",
" 1558.84,913.698 1571.11,914.022 1583.96,913.629 1597.41,912.479 1611.46,910.526 1626.11,907.724 1641.35,904.03 1657.18,899.396 1673.57,893.75 1690.51,887.033 \n",
" 1707.96,879.189 1725.86,870.175 1744.13,859.954 1762.69,848.496 1781.44,835.781 1800.25,821.797 1818.98,806.54 1837.5,790.018 1855.64,772.288 1873.2,753.418 \n",
" 1889.92,733.496 1905.58,712.645 1919.93,691.019 1932.77,668.803 1943.87,646.217 1953.02,623.51 1960.01,600.967 1964.64,578.902 1966.71,557.663 1966.11,537.593 \n",
" 1962.82,518.983 1956.83,502.086 1948.19,487.119 1936.98,474.261 1923.33,463.654 1907.41,455.405 1889.43,449.583 1869.63,446.219 1848.33,445.309 1825.84,446.779 \n",
" 1802.47,450.378 1778.53,455.899 1754.32,463.139 1730.07,471.895 1706.04,481.957 1682.42,493.114 1659.4,505.15 1637.14,517.847 1615.77,530.983 1595.39,544.422 \n",
" 1576.06,558.07 1557.82,571.825 1540.69,585.595 1524.69,599.306 1509.82,612.897 1496.07,626.321 1483.42,639.546 1471.83,652.556 1461.26,665.343 1451.67,677.889 \n",
" 1443.02,690.192 1435.27,702.25 1428.37,714.063 1422.27,725.631 1416.94,736.956 1412.33,748.041 1408.41,758.888 1405.13,769.501 1402.47,779.886 1400.39,790.041 \n",
" 1398.86,799.968 1397.85,809.67 1397.35,819.147 1397.33,828.399 1397.79,837.424 1398.69,846.22 1400.04,854.783 1401.81,863.11 1404,871.194 1406.6,879.029 \n",
" 1409.62,886.61 1413.05,893.932 1416.9,900.986 1421.17,907.765 1425.88,914.258 1431.03,920.453 1436.64,926.336 1442.7,931.893 1449.25,937.106 1456.28,941.958 \n",
" 1463.83,946.427 1471.91,950.494 1480.55,954.134 1489.76,957.321 1499.58,960.023 1510.02,962.208 1521.11,963.837 1532.87,964.871 1545.32,965.264 1558.48,964.969 \n",
" 1572.37,963.937 1586.98,962.131 1602.34,959.481 1618.47,955.907 1635.4,951.333 1653.12,945.682 1671.61,938.884 1690.84,930.868 1710.76,921.566 1731.3,910.915 \n",
" 1752.39,898.85 1773.91,885.312 1795.76,870.244 1817.8,853.59 1839.91,835.354 1861.87,815.55 1883.43,794.185 1904.31,771.315 1924.24,747.047 1942.94,721.535 \n",
" 1960.1,694.984 1975.43,667.647 1988.61,639.825 1999.32,611.871 2007.24,584.185 2012.03,557.233 2013.52,531.548 2011.65,507.513 2006.38,485.455 1997.74,465.667 \n",
" 1985.81,448.403 1970.73,433.881 1952.68,422.28 1931.89,413.743 1908.66,408.375 1883.31,406.244 1856.25,407.354 1827.98,411.319 1798.94,417.786 1769.52,426.461 \n",
" 1740.08,437.049 1710.92,449.251 1682.33,462.767 1654.54,477.292 1627.75,492.52 1602.11,508.148 1577.76,524.01 1554.74,539.99 1533.08,555.96 1512.81,571.815 \n",
" 1493.93,587.472 1476.43,602.865 1460.26,617.952 1445.4,632.708 1431.78,647.132 1419.34,661.231 1408.01,674.994 1397.73,688.432 1388.45,701.553 1380.08,714.37 \n",
" 1372.58,726.892 1365.88,739.133 1359.93,751.102 1354.67,762.813 1350.05,774.276 1346.02,785.504 1342.53,796.502 1339.54,807.28 1337.03,817.844 1334.94,828.2 \n",
" 1333.26,838.353 1331.95,848.307 1330.99,858.065 1330.35,867.63 1330.01,877.003 1329.95,886.187 1330.17,895.183 1330.65,903.994 1331.39,912.619 1332.37,921.059 \n",
" 1333.59,929.314 1335.05,937.383 1336.73,945.265 1338.65,952.958 1340.81,960.462 1343.21,967.775 1345.85,974.896 1348.75,981.822 1351.91,988.549 1355.34,995.073 \n",
" 1359.06,1001.39 1363.07,1007.49 1367.39,1013.38 1372.04,1019.03 1377.04,1024.46 1382.41,1029.64 1388.17,1034.57 1394.34,1039.23 1400.95,1043.61 1408.04,1047.69 \n",
" 1415.62,1051.46 1423.72,1054.89 1432.39,1057.97 1441.65,1060.66 1451.55,1062.93 1462.12,1064.77 1473.42,1066.11 1485.47,1066.94 1498.33,1067.18 1512.03,1066.79 \n",
" 1526.61,1065.71 1542.12,1063.87 1558.6,1061.2 1576.08,1057.62 1594.6,1053.05 1614.14,1047.43 1634.75,1040.63 1656.48,1032.49 1679.37,1022.89 1703.38,1011.7 \n",
" 1728.48,998.796 1754.59,984.054 1781.6,967.365 1809.37,948.622 1837.72,927.725 1866.44,904.578 1895.3,879.094 1924.06,851.253 1952.35,821.133 1979.7,788.796 \n",
" 2005.59,754.4 2029.54,718.198 2051.05,680.538 2069.62,641.86 2084.74,602.702 2095.93,563.695 2102.67,525.566 2104.48,489.134 2101.14,455.217 2092.61,424.5 \n",
" 2078.94,397.554 2060.28,374.843 2036.91,356.72 2009.21,343.431 1977.7,335.111 1943.01,331.787 1905.86,333.338 1867.01,339.191 1827.13,348.773 1786.86,361.546 \n",
" 1746.76,376.967 1707.31,394.489 1668.92,413.56 1631.94,433.624 1596.64,454.138 1563.18,474.816 1531.65,495.432 1502.09,515.776 1474.54,535.683 1448.96,555.033 \n",
" 1425.31,573.753 1403.53,591.813 1383.49,609.225 1365.11,625.988 1348.29,642.128 1332.91,657.68 1318.86,672.68 1306.04,687.162 1294.34,701.163 1283.66,714.717 \n",
" 1273.9,727.862 1264.97,740.632 1256.77,753.056 1249.23,765.158 1242.27,776.96 1235.82,788.483 1229.8,799.744 1224.15,810.757 1218.82,821.534 1213.73,832.084 \n",
" 1208.84,842.414 1204.11,852.531 1199.48,862.442 1194.92,872.149 1190.39,881.656 1185.85,890.964 1181.27,900.076 1176.61,908.99 1171.83,917.706 1166.9,926.222 \n",
" 1161.8,934.536 1156.49,942.645 1150.96,950.545 1145.16,958.232 1139.07,965.698 1132.67,972.935 1125.91,979.936 1118.77,986.691 1111.22,993.186 1103.23,999.409 \n",
" 1094.77,1005.34 1085.81,1010.97 1076.32,1016.27 1066.27,1021.22 1055.62,1025.78 1044.34,1029.94 1032.4,1033.64 1019.78,1036.86 1006.43,1039.55 992.329,1041.66 \n",
" 977.445,1043.12 961.759,1043.88 945.255,1043.86 927.928,1042.99 909.775,1041.18 890.803,1038.34 871.024,1034.37 850.466,1029.18 829.197,1022.71 807.261,1014.8 \n",
" 784.726,1005.28 761.694,994.018 738.298,980.913 714.705,965.87 691.116,948.824 667.764,929.73 644.915,908.567 622.869,885.337 601.959,860.061 582.524,832.803 \n",
" 564.858,803.767 549.396,773.194 536.54,741.368 526.637,708.628 519.976,675.363 516.792,642.018 517.263,609.09 521.513,577.129 529.609,546.737 541.554,518.561 \n",
" 557.165,493.094 576.137,470.669 598.143,451.552 622.828,435.926 649.809,423.901 678.675,415.509 708.988,410.701 740.281,409.353 772.057,411.264 803.836,416.138 \n",
" 835.293,423.571 866.123,433.198 896.064,444.674 924.898,457.676 952.456,471.899 978.617,487.061 1003.3,502.899 1026.49,519.17 1048.18,535.669 1068.35,552.285 \n",
" 1087.04,568.908 1104.31,585.446 1120.2,601.818 1134.77,617.965 1148.09,633.838 1160.22,649.409 1171.24,664.661 1181.23,679.588 1190.26,694.18 1198.4,708.439 \n",
" 1205.72,722.366 1212.28,735.966 1218.15,749.244 1223.39,762.207 1228.04,774.865 1232.17,787.227 1235.82,799.302 1239.03,811.1 1241.84,822.628 1244.28,833.894 \n",
" 1246.4,844.908 1248.21,855.676 1249.75,866.208 1251.05,876.51 1252.13,886.59 1253.01,896.455 1253.7,906.111 1254.22,915.563 1254.57,924.818 1254.78,933.881 \n",
" 1254.86,942.758 1254.8,951.454 1254.63,959.975 1254.34,968.324 1253.94,976.506 1253.43,984.527 1252.81,992.389 1252.09,1000.1 1251.27,1007.65 1250.34,1015.07 \n",
" 1249.31,1022.34 1248.17,1029.47 1246.92,1036.46 1245.55,1043.33 1244.06,1050.06 1242.44,1056.67 1240.69,1063.15 1238.8,1069.51 1236.77,1075.76 1234.57,1081.89 \n",
" 1232.21,1087.9 1229.67,1093.8 1226.94,1099.6 1224,1105.28 1220.84,1110.86 1217.45,1116.33 1213.81,1121.69 1209.89,1126.94 1205.69,1132.09 1201.18,1137.13 \n",
" 1196.33,1142.06 1191.12,1146.88 1185.52,1151.58 1179.5,1156.15 1173.04,1160.6 1166.1,1164.91 1158.64,1169.07 1150.63,1173.08 1142.02,1176.9 1132.78,1180.54 \n",
" 1122.85,1183.98 1112.18,1187.19 1100.73,1190.13 1088.43,1192.77 1075.25,1195.08 1061.1,1196.99 1045.95,1198.46 1029.73,1199.43 1012.37,1199.81 993.866,1199.55 \n",
" 974.136,1198.53 953.087,1196.65 930.651,1193.76 906.785,1189.71 881.47,1184.35 854.715,1177.49 826.552,1168.93 797.042,1158.44 766.268,1145.8 734.342,1130.76 \n",
" 701.4,1113.05 667.647,1092.53 633.388,1068.89 598.995,1041.77 564.909,1010.93 531.637,976.262 499.756,937.775 469.912,895.602 442.816,849.996 419.251,801.331 \n",
" 400.066,750.105 386.029,697.04 377.707,643.196 375.656,589.613 380.24,537.336 391.623,487.409 409.774,440.879 434.467,398.794 465.276,362.201 501.581,332.149 \n",
" 542.465,309.104 586.885,292.951 633.872,283.533 682.511,280.517 731.937,283.404 781.34,291.518 829.958,304.016 877.087,319.89 922.282,338.364 965.295,358.803 \n",
" 1005.92,380.565 1044.02,403.104 1079.53,425.959 1112.44,448.765 1142.84,471.245 1170.85,493.214 1196.62,514.533 1220.24,535.113 1241.86,554.929 1261.64,573.968 \n",
" 1279.72,592.225 1296.25,609.705 1311.37,626.421 1325.21,642.396 1337.9,657.662 1349.57,672.26 1360.34,686.227 1370.33,699.594 1379.63,712.389 1388.34,724.64 \n",
" 1396.55,736.37 1404.34,747.599 1411.81,758.348 1419.02,768.631 1426.04,778.463 1432.94,787.852 1439.76,796.804 1446.56,805.323 1453.39,813.411 1460.29,821.068 \n",
" 1467.32,828.294 1474.51,835.085 1481.91,841.438 1489.56,847.344 1497.48,852.791 1505.7,857.764 1514.26,862.248 1523.17,866.225 1532.48,869.675 1542.19,872.577 \n",
" 1552.33,874.908 1562.93,876.643 1574,877.756 1585.54,878.213 1597.59,877.978 1610.12,877.012 1623.16,875.279 1636.69,872.742 1650.7,869.363 1665.17,865.104 \n",
" 1680.08,859.93 1695.39,853.801 1711.07,846.693 1727.05,838.585 1743.27,829.431 1759.65,819.197 1776.1,807.867 1792.5,795.446 1808.75,781.953 1824.71,767.428 \n",
" 1840.22,751.928 1855.14,735.529 1869.27,718.322 1882.45,700.42 1894.46,681.951 1905.17,663.09 1914.38,644.041 1921.88,625.011 1927.53,606.213 1931.18,587.86 \n",
" 1932.73,570.171 1932.11,553.366 1929.28,537.669 1924.23,523.308 1916.98,510.512 1907.58,499.51 1896.15,490.403 1882.87,483.231 1867.91,478.032 1851.48,474.808 \n",
" 1833.76,473.534 1814.99,474.149 1795.37,476.562 1775.14,480.647 1754.55,486.25 1733.84,493.182 1713.22,501.264 1692.86,510.349 1672.91,520.273 1653.5,530.884 \n",
" 1634.75,542.044 1616.77,553.624 1599.63,565.509 1583.38,577.598 1568.07,589.8 1553.72,602.036 1540.31,614.241 1527.86,626.369 1516.37,638.393 1505.82,650.287 \n",
" 1496.18,662.027 1487.44,673.593 1479.55,684.97 1472.51,696.144 1466.27,707.108 1460.81,717.857 1456.1,728.39 1452.1,738.704 1448.78,748.795 1446.11,758.659 \n",
" 1444.07,768.294 1442.64,777.699 1441.79,786.869 1441.5,795.801 1441.76,804.489 1442.55,812.929 1443.86,821.114 1445.66,829.037 1447.96,836.69 1450.74,844.063 \n",
" 1454.01,851.15 1457.76,857.942 1462.01,864.428 1466.74,870.597 1471.98,876.433 1477.71,881.92 1483.96,887.04 1490.72,891.773 1498,896.097 1505.81,899.987 \n",
" 1514.16,903.42 1523.06,906.37 1532.54,908.808 1542.61,910.703 1553.29,912.02 1564.57,912.722 1576.48,912.769 1589.01,912.119 1602.17,910.727 1615.96,908.547 \n",
" 1630.37,905.527 1645.4,901.623 1660.99,896.815 1677.15,891.026 1693.85,884.178 1711.06,876.207 1728.73,867.06 1746.79,856.7 1765.14,845.101 1783.68,832.25 \n",
" 1802.28,818.15 1820.78,802.812 1839.04,786.265 1856.86,768.548 1874.05,749.714 1890.39,729.84 1905.73,709.088 1919.79,687.638 1932.29,665.687 1943.01,643.45 \n",
" 1951.72,621.162 1958.25,599.075 1962.43,577.462 1964.13,556.613 1963.25,536.84 1959.71,518.472 1953.46,501.856 1944.52,487.273 1933.06,474.856 1919.26,464.716 \n",
" 1903.31,456.926 1885.43,451.516 1865.84,448.478 1844.81,447.764 1822.59,449.286 1799.46,452.914 1775.75,458.48 1751.75,465.775 1727.76,474.556 1704,484.587 \n",
" 1680.68,495.65 1657.96,507.547 1636.01,520.094 1614.93,533.128 1594.84,546.498 1575.79,560.074 1557.83,573.74 1540.97,587.399 1525.22,600.981 1510.6,614.447 \n",
" 1497.08,627.76 1484.63,640.89 1473.22,653.812 1462.81,666.508 1453.38,678.964 1444.87,691.175 1437.27,703.138 1430.51,714.86 1424.55,726.344 1419.35,737.587 \n",
" 1414.87,748.594 1411.07,759.367 1407.91,769.908 1405.37,780.219 1403.41,790.302 1402,800.157 1401.12,809.785 1400.75,819.185 1400.85,828.355 1401.41,837.291 \n",
" 1402.43,845.994 1403.89,854.461 1405.78,862.691 1408.11,870.677 1410.87,878.416 1414.06,885.9 1417.67,893.119 1421.7,900.065 1426.17,906.726 1431.07,913.088 \n",
" 1436.41,919.14 1442.21,924.87 1448.49,930.264 1455.25,935.306 1462.53,939.976 1470.33,944.253 1478.67,948.113 1487.58,951.529 1497.07,954.472 1507.18,956.911 \n",
" 1517.9,958.813 1529.27,960.143 1541.31,960.856 1554.06,960.904 1567.53,960.235 1581.75,958.796 1596.73,956.528 1612.47,953.372 1628.97,949.264 1646.22,944.138 \n",
" 1664.2,937.924 1682.89,930.55 1702.27,921.939 1722.28,912.038 1742.85,900.808 1763.89,888.139 1785.32,873.944 1807.01,858.17 1828.81,840.793 1850.54,821.822 \n",
" 1871.98,801.298 1892.9,779.293 1913.05,755.91 1932.12,731.284 1949.81,705.581 1965.76,679.002 1979.72,651.851 1991.38,624.504 2000.4,597.326 2006.53,570.681 \n",
" 2009.54,544.935 2009.3,520.451 2005.71,497.591 1998.73,476.72 1988.41,458.199 1974.81,442.392 1958.08,429.658 1938.49,420.17 1916.43,413.819 1892.27,410.555 \n",
" 1866.39,410.279 1839.16,412.841 1810.95,418.041 1782.12,425.629 1753.04,435.304 1724.07,446.718 1695.57,459.469 1667.81,473.237 1640.96,487.834 1615.16,503.022 \n",
" 1590.54,518.59 1567.21,534.357 1545.22,550.171 1524.62,565.909 1505.42,581.477 1487.59,596.81 1471.08,611.87 1455.84,626.644 1441.84,641.106 1429.03,655.244 \n",
" 1417.35,669.058 1406.74,682.549 1397.15,695.723 1388.5,708.592 1380.74,721.167 1373.81,733.46 1367.65,745.482 1362.21,757.244 1357.42,768.756 1353.26,780.028 \n",
" 1349.66,791.069 1346.59,801.885 1344,812.484 1341.87,822.871 1340.17,833.052 1338.86,843.031 1337.92,852.81 1337.32,862.392 1337.05,871.779 1337.09,880.972 \n",
" 1337.42,889.974 1338.04,898.785 1338.93,907.405 1340.09,915.835 1341.51,924.072 1343.18,932.117 1345.11,939.967 1347.3,947.621 1349.76,955.078 1352.47,962.336 \n",
" 1355.47,969.389 1358.74,976.235 1362.3,982.87 1366.16,989.287 1370.34,995.48 1374.84,1001.44 1379.7,1007.17 1384.92,1012.65 1390.52,1017.87 1396.53,1022.83 \n",
" 1402.98,1027.5 1409.88,1031.87 1417.27,1035.93 1425.17,1039.65 1433.62,1043.01 1442.64,1046 1452.29,1048.57 1462.58,1050.71 1473.57,1052.36 1485.29,1053.5 \n",
" 1497.77,1054.07 1511.06,1054.02 1525.2,1053.3 1540.24,1051.85 1556.16,1049.62 1573.04,1046.52 1590.92,1042.45 1609.86,1037.33 1629.88,1031.04 1650.98,1023.48 \n",
" 1673.16,1014.54 1696.38,1004.11 1720.6,992.075 1745.75,978.319 1771.75,962.72 1798.5,945.154 1825.88,925.515 1853.69,903.766 1881.69,879.789 1909.6,853.526 \n",
" 1937.08,824.991 1963.76,794.277 1989.25,761.551 2013.09,727.057 2034.78,691.112 2053.8,654.112 2069.58,616.53 2081.65,579.042 2089.6,542.352 2093.06,507.099 \n",
" 2091.8,473.887 2085.67,443.286 2074.64,415.829 2058.78,392.016 2038.29,372.313 2013.44,357.148 1984.65,346.916 1952.48,341.705 1917.71,341.045 1880.99,344.604 \n",
" 1842.96,352 1804.2,362.789 1765.27,376.474 1726.68,392.498 1688.9,410.245 1652.36,429.072 1617.31,448.631 1583.93,468.616 1552.33,488.728 1522.61,508.718 \n",
" 1494.83,528.391 1468.98,547.604 1445.04,566.262 1422.93,584.326 1402.53,601.803 1383.8,618.675 1366.63,634.95 1350.92,650.66 1336.56,665.834 1323.45,680.503 \n",
" 1311.49,694.699 1300.59,708.451 1290.66,721.792 1281.59,734.753 1273.32,747.365 1265.73,759.655 1258.77,771.645 1252.35,783.353 1246.41,794.798 1240.9,805.995 \n",
" 1235.74,816.957 1230.89,827.695 1226.28,838.217 1221.87,848.53 1217.61,858.641 1213.46,868.553 1209.39,878.273 1205.36,887.803 1201.34,897.145 1197.3,906.302 \n",
" 1193.19,915.275 1189,924.063 1184.68,932.666 1180.22,941.084 1175.58,949.315 1170.75,957.357 1165.69,965.208 1160.38,972.863 1154.79,980.319 1148.89,987.569 \n",
" 1142.66,994.606 1136.07,1001.42 1129.08,1008.01 1121.67,1014.36 1113.8,1020.45 1105.46,1026.28 1096.6,1031.82 1087.2,1037.05 1077.22,1041.95 1066.62,1046.49 \n",
" 1055.36,1050.64 1043.43,1054.38 1030.78,1057.65 1017.38,1060.41 1003.18,1062.62 988.154,1064.21 972.281,1065.12 955.539,1065.27 937.913,1064.59 919.393,1062.98 \n",
" 899.975,1060.35 879.661,1056.61 858.494,1051.67 836.516,1045.42 813.748,1037.67 790.251,1028.27 766.118,1017.08 741.483,1003.96 716.513,988.814 691.415,971.551 \n",
" 666.431,952.1 641.84,930.411 617.959,906.451 595.14,880.206 573.712,851.734 554.043,821.234 536.629,788.918 521.913,755.068 510.285,720.033 502.081,684.231 \n",
" 497.583,648.15 497.019,612.347 500.561,577.448 508.329,544.147 520.355,513.181 536.413,485.101 556.189,460.289 579.336,439.047 605.47,421.593 634.175,408.06 \n",
" 664.997,398.504 697.447,392.891 731.001,391.111 765.098,392.968 799.213,398.11 832.972,406.041 866.03,416.349 898.095,428.644 928.932,442.562 958.36,457.756 \n",
" 986.254,473.906 1012.54,490.71 1037.21,507.894 1060.23,525.279 1081.62,542.735 1101.43,560.14 1119.71,577.394 1136.52,594.415 1151.93,611.141 1166.02,627.53 \n",
" 1178.87,643.56 1190.56,659.223 1201.18,674.507 1210.81,689.412 1219.53,703.943 1227.42,718.104 1234.55,731.903 1240.98,745.348 1246.79,758.45 1252.03,771.22 \n",
" 1256.77,783.672 1261.06,795.816 1264.94,807.661 1268.46,819.218 1271.65,830.495 1274.55,841.501 1277.19,852.246 1279.62,862.738 1281.87,872.985 1283.96,882.996 \n",
" 1285.93,892.778 1287.8,902.337 1289.57,911.678 1291.28,920.806 1292.93,929.726 1294.55,938.444 1296.14,946.964 1297.73,955.291 1299.34,963.429 1300.96,971.381 \n",
" 1302.63,979.151 1304.33,986.74 1306.1,994.153 1307.94,1001.39 1309.85,1008.45 1311.87,1015.35 1313.99,1022.07 1316.23,1028.63 1318.6,1035.01 1321.11,1041.23 \n",
" 1323.79,1047.28 1326.63,1053.17 1329.66,1058.88 1332.89,1064.41 1336.34,1069.78 1340.02,1074.96 1343.97,1079.97 1348.18,1084.78 1352.7,1089.41 1357.53,1093.83 \n",
" 1362.7,1098.05 1368.25,1102.05 1374.19,1105.82 1380.56,1109.35 1387.39,1112.63 1394.71,1115.63 1402.56,1118.35 1410.98,1120.75 1420,1122.82 1429.68,1124.52 \n",
" 1440.05,1125.82 1451.17,1126.68 1463.07,1127.06 1475.83,1126.91 1489.48,1126.17 1504.08,1124.8 1519.66,1122.73 1536.3,1119.88 1554.07,1116.15 1573.04,1111.45 \n",
" 1593.24,1105.66 1614.73,1098.67 1637.52,1090.36 1661.63,1080.57 1687.04,1069.16 1713.76,1055.99 1741.74,1040.86 1770.93,1023.64 1801.21,1004.22 1832.46,982.34 \n",
" 1864.49,957.8 1897.08,930.454 1929.89,900.238 1962.55,867.156 1994.6,831.288 2025.49,792.788 2054.62,751.879 2081.32,708.862 2104.95,664.183 2124.83,618.6 \n",
" 2140.2,572.918 2150.39,527.955 2154.92,484.543 2153.42,443.524 2145.7,405.755 2131.67,372.104 2111.43,343.453 2085.19,320.697 2053.51,304.297 2017.26,294.102 \n",
" 1977.25,289.956 1934.28,291.558 1889.18,298.467 1842.75,310.098 1795.79,325.721 1749.11,344.467 1703.49,365.353 1659.38,387.732 1617.09,411.04 1576.89,434.749 \n",
" 1538.97,458.422 1503.46,481.711 1470.38,504.362 1439.72,526.209 1411.36,547.179 1385.18,567.237 1361.14,586.362 1339.08,604.59 1318.88,621.963 1300.39,638.526 \n",
" 1283.5,654.329 1268.06,669.427 1253.94,683.877 1241.02,697.742 1229.17,711.079 1218.27,723.931 1208.22,736.341 1198.91,748.346 1190.24,759.979 1182.14,771.267 \n",
" 1174.5,782.233 1167.24,792.895 1160.3,803.268 1153.59,813.362 1147.07,823.187 1140.67,832.748 1134.34,842.05 1128.04,851.094 1121.71,859.88 1115.3,868.406 \n",
" 1108.77,876.668 1102.07,884.659 1095.17,892.371 1088.04,899.797 1080.63,906.925 1072.93,913.742 1064.9,920.234 1056.5,926.383 1047.71,932.17 1038.49,937.576 \n",
" 1028.83,942.577 1018.69,947.146 1008.06,951.254 996.907,954.869 985.218,957.952 972.976,960.466 960.172,962.365 946.798,963.603 932.848,964.132 918.324,963.896 \n",
" 903.228,962.841 887.59,960.925 871.426,958.07 854.761,954.192 837.636,949.218 820.11,943.077 802.255,935.708 784.163,927.055 765.94,917.07 747.711,905.713 \n",
" 729.616,892.948 711.811,878.749 694.461,863.103 677.718,846.058 661.825,827.651 647.03,807.947 633.564,787.049 621.645,765.094 611.479,742.258 603.258,718.752 \n",
" 597.159,694.827 593.346,670.767 591.971,646.896 593.169,623.571 596.99,601.152 603.39,579.946 612.304,560.228 623.634,542.239 637.245,526.186 652.969,512.244 \n",
" 670.606,500.553 689.92,491.221 710.642,484.323 732.467,479.899 755.076,477.916 778.196,478.174 801.557,480.508 824.91,484.749 848.037,490.722 870.74,498.243 \n",
" 892.852,507.122 914.229,517.158 934.754,528.144 954.338,539.866 972.907,552.156 990.419,564.92 1006.86,578.038 1022.21,591.403 1036.49,604.922 1049.69,618.514 \n",
" 1061.84,632.111 1072.95,645.657 1083.08,659.109 1092.24,672.438 1100.49,685.612 1107.87,698.61 1114.42,711.417 1120.17,724.02 1125.18,736.409 1129.47,748.575 \n",
" 1133.08,760.513 1136.05,772.218 1138.41,783.688 1140.18,794.926 1141.41,805.929 1142.11,816.697 1142.3,827.232 1141.99,837.534 1141.21,847.603 1139.96,857.439 \n",
" 1138.24,867.041 1136.08,876.408 1133.48,885.538 1130.43,894.43 1126.96,903.081 1123.06,911.488 1118.72,919.646 1113.93,927.55 1108.69,935.193 1102.98,942.567 \n",
" 1096.78,949.663 1090.1,956.468 1082.9,962.969 1075.18,969.151 1066.91,974.994 1058.09,980.481 1048.69,985.586 1038.7,990.285 1028.08,994.549 1016.81,998.343 \n",
" 1004.87,1001.63 992.24,1004.37 978.905,1006.5 964.855,1007.99 950.082,1008.77 934.584,1008.77 918.359,1007.94 901.411,1006.19 883.757,1003.46 865.449,999.711 \n",
" 846.5,994.808 826.944,988.629 806.837,981.063 786.263,972.016 765.331,961.405 744.173,949.16 722.951,935.227 701.846,919.565 681.071,902.146 660.859,882.956 \n",
" 641.472,861.995 623.168,839.294 606.171,815.003 590.839,789.285 577.513,762.337 566.494,734.397 558.042,705.746 552.377,676.706 549.679,647.64 550.089,618.956 \n",
" 553.707,591.102 560.593,564.568 570.766,539.882 584.086,517.463 600.296,497.576 619.126,480.431 640.289,466.183 663.479,454.932 688.371,446.719 714.624,441.531 \n",
" 741.876,439.298 769.749,439.894 797.847,443.136 825.793,448.764 853.341,456.445 880.254,465.889 906.33,476.824 931.403,488.997 955.342,502.171 978.051,516.126 \n",
" 999.47,530.66 1019.57,545.586 1038.37,560.739 1055.86,576.006 1072.05,591.31 1086.99,606.577 1100.72,621.743 1113.28,636.755 1124.74,651.57 1135.15,666.155 \n",
" 1144.55,680.488 1153,694.557 1160.58,708.359 1167.33,721.887 1173.31,735.138 1178.57,748.114 1183.17,760.816 1187.14,773.248 1190.53,785.412 1193.38,797.315 \n",
" 1195.73,808.962 1197.62,820.36 1199.06,831.514 1200.1,842.429 1200.74,853.11 1201.02,863.564 1200.93,873.795 1200.51,883.808 1199.77,893.607 1198.72,903.198 \n",
" 1197.36,912.584 1195.71,921.769 1193.76,930.757 1191.52,939.549 1188.98,948.148 1186.14,956.555 1182.99,964.773 1179.52,972.8 1175.74,980.639 1171.62,988.287 \n",
" 1167.16,995.744 1162.34,1003.01 1157.14,1010.07 1151.55,1016.93 1145.54,1023.59 1139.09,1030.03 1132.18,1036.25 1124.78,1042.22 1116.87,1047.95 1108.41,1053.42 \n",
" 1099.39,1058.6 1089.76,1063.48 1079.49,1068.03 1068.54,1072.23 1056.87,1076.04 1044.45,1079.42 1031.25,1082.34 1017.22,1084.73 1002.34,1086.54 986.566,1087.71 \n",
" 969.877,1088.17 952.239,1087.84 933.675,1086.66 914.172,1084.54 893.677,1081.33 872.171,1076.9 849.662,1071.1 826.192,1063.8 801.833,1054.86 776.689,1044.15 \n",
" 750.895,1031.52 724.617,1016.85 698.053,1000 671.43,980.838 645.008,959.233 619.037,935.135 593.87,908.563 569.984,879.501 547.844,848.026 527.898,814.31 \n",
" 510.58,778.621 496.307,741.32 485.484,702.863 478.496,663.801 475.717,624.781 477.487,586.543 483.885,549.855 494.857,515.381 510.277,483.701 529.931,455.317 \n",
" 553.52,430.656 580.654,410.065 610.857,393.815 643.565,382.1 678.13,375.019 713.931,372.268 750.398,373.441 787.009,378.163 823.306,386.036 858.893,396.636 \n",
" 893.438,409.518 926.674,424.209 958.395,440.215 988.453,457.156 1016.77,474.798 1043.33,492.881 1068.1,511.183 1091.11,529.519 1112.4,547.74 1132.02,565.736 \n",
" 1150.06,583.433 1166.6,600.776 1181.73,617.725 1195.55,634.261 1208.15,650.373 1219.63,666.054 1230.07,681.304 1239.56,696.126 1248.18,710.53 1256.03,724.532 \n",
" 1263.17,738.145 1269.68,751.382 1275.63,764.257 1281.07,776.781 1286.07,788.968 1290.68,800.828 1294.95,812.374 1298.93,823.617 1302.67,834.566 1306.22,845.233 \n",
" 1309.6,855.625 1312.86,865.747 1316.01,875.608 1319.1,885.212 1322.14,894.565 1325.18,903.674 1328.23,912.541 1331.32,921.172 1334.47,929.569 1337.71,937.733 \n",
" 1341.05,945.666 1344.52,953.368 1348.14,960.839 1351.93,968.08 1355.91,975.088 1360.1,981.862 1364.53,988.399 1369.22,994.693 1374.19,1000.74 1379.46,1006.53 \n",
" 1385.06,1012.06 1391.02,1017.32 1397.35,1022.29 1404.1,1026.96 1411.3,1031.33 1418.96,1035.37 1427.13,1039.06 1435.84,1042.38 1445.13,1045.3 1455.03,1047.81 \n",
" 1465.58,1049.85 1476.82,1051.4 1488.79,1052.41 1501.53,1052.84 1515.08,1052.64 1529.48,1051.75 1544.76,1050.12 1560.99,1047.67 1578.2,1044.3 1596.43,1039.95 \n",
" 1615.7,1034.51 1636.01,1027.88 1657.38,1019.97 1679.79,1010.66 1703.22,999.826 1727.62,987.357 1752.96,973.135 1779.11,957.092 1805.98,939.057 1833.41,918.884 \n",
" 1861.21,896.48 1889.15,871.805 1916.93,844.872 1944.2,815.747 1970.58,784.55 1995.63,751.452 2018.85,716.677 2039.75,680.516 2057.89,643.454 2072.69,606.068 \n",
" 2083.65,568.944 2090.33,532.678 2092.44,497.879 2089.74,465.166 2082.13,435.169 2069.58,408.527 2052.19,385.895 2030.15,367.894 2003.96,354.649 1974.19,346.126 \n",
" 1941.42,342.236 1906.23,342.792 1869.22,347.502 1830.99,355.972 1792.15,367.707 1753.31,382.11 1715.08,398.507 1677.83,416.433 1641.83,435.448 1607.35,455.141 \n",
" 1574.57,475.163 1543.64,495.219 1514.63,515.079 1487.56,534.568 1462.39,553.574 1439.03,572.036 1417.48,589.907 1397.63,607.179 1379.41,623.859 1362.72,639.959 \n",
" 1347.45,655.497 1333.51,670.501 1320.79,685.003 1309.21,699.042 1298.65,712.656 1289.02,725.874 1280.23,738.725 1272.19,751.237 1264.84,763.435 1258.08,775.34 \n",
" 1251.86,786.97 1246.09,798.344 1240.72,809.473 1235.68,820.369 1230.93,831.044 1226.41,841.505 1222.08,851.761 1217.91,861.817 1213.84,871.679 1209.85,881.35 \n",
" 1205.89,890.833 1201.92,900.131 1197.91,909.243 1193.84,918.171 1189.67,926.916 1185.38,935.478 1180.95,943.856 1176.34,952.049 1171.53,960.055 1166.49,967.869 \n",
" 1161.19,975.49 1155.61,982.911 1149.72,990.129 1143.49,997.136 1136.9,1003.93 1129.92,1010.49 1122.51,1016.81 1114.66,1022.88 1106.31,1028.68 1097.46,1034.2 \n",
" 1088.04,1039.41 1078.05,1044.29 1067.44,1048.82 1056.17,1052.96 1044.21,1056.68 1031.53,1059.94 1018.08,1062.7 1003.85,1064.89 988.804,1066.47 972.903,1067.36 \n",
" 956.131,1067.51 938.5,1066.85 919.97,1065.27 900.514,1062.67 880.125,1058.93 858.824,1053.94 836.651,1047.56 813.673,1039.68 789.979,1030.18 765.682,1018.94 \n",
" 740.919,1005.81 715.851,990.684 690.662,973.419 665.539,953.972 640.784,932.263 616.747,908.21 593.792,881.809 572.29,853.134 552.619,822.337 535.17,789.649 \n",
" 520.339,755.376 508.533,719.905 500.168,683.699 495.641,647.339 495.156,611.542 498.804,576.875 506.601,543.861 518.491,512.991 534.346,484.72 553.964,459.472 \n",
" 577.067,437.635 603.306,419.565 632.259,405.584 663.427,395.969 696.192,390.53 729.97,388.908 764.256,390.818 798.599,395.94 832.597,403.921 865.9,414.371 \n",
" 898.211,426.867 929.281,440.949 958.919,456.197 987.012,472.378 1013.5,489.228 1038.35,506.51 1061.54,524.02 1083.09,541.59 1103.02,559.085 1121.39,576.404 \n",
" 1138.29,593.478 1153.78,610.257 1167.94,626.697 1180.87,642.779 1192.64,658.489 1203.33,673.818 1213.04,688.762 1221.83,703.322 1229.78,717.504 1236.97,731.319 \n",
" 1243.48,744.779 1249.36,757.895 1254.67,770.677 1259.48,783.136 1263.82,795.283 1267.76,807.128 1271.34,818.681 1274.6,829.954 1277.58,840.954 1280.33,851.694 \n",
" 1282.88,862.18 1285.25,872.419 1287.47,882.418 1289.56,892.185 1291.55,901.724 1293.45,911.043 1295.3,920.147 1297.11,929.041 1298.89,937.732 1300.67,946.222 \n",
" 1302.46,954.515 1304.27,962.615 1306.11,970.526 1308,978.249 1309.96,985.789 1312,993.147 1314.13,1000.33 1316.36,1007.33 1318.7,1014.15 1321.17,1020.8 \n",
" 1323.79,1027.27 1326.56,1033.56 1329.51,1039.67 1332.64,1045.61 1335.98,1051.37 1339.54,1056.94 1343.33,1062.33 1347.39,1067.53 1351.72,1072.53 1356.36,1077.33 \n",
" 1361.31,1081.93 1366.62,1086.3 1372.29,1090.45 1378.38,1094.36 1384.89,1098.02 1391.86,1101.42 1399.34,1104.53 1407.35,1107.34 1415.92,1109.83 1425.11,1111.96 \n",
" 1434.96,1113.71 1445.5,1115.05 1456.79,1115.92 1468.87,1116.31 1481.8,1116.15 1495.6,1115.4 1510.36,1113.99 1526.14,1111.84 1542.99,1108.89 1560.95,1105.04 \n",
" 1580.08,1100.19 1600.41,1094.24 1621.98,1087.06 1644.8,1078.53 1668.89,1068.52 1694.27,1056.88 1720.86,1043.52 1748.66,1028.22 1777.62,1010.77 1807.66,990.983 \n",
" 1838.62,968.704 1870.27,943.825 1902.35,916.276 1934.5,886.023 1966.33,853.071 1997.36,817.463 2027.07,779.283 2055.02,738.798 2080.46,696.459 2102.62,652.791 \n",
" 2120.82,608.4 2134.45,563.97 2143,520.27 2146.04,478.146 2143.22,438.527 2134.28,402.423 2119.07,370.908 2097.85,344.715 2071.17,324.161 2039.6,309.418 \n",
" 2003.78,300.512 1964.39,297.321 1922.19,299.58 1877.94,306.873 1832.51,318.643 1786.76,334.18 1741.46,352.614 1697.14,373.156 1654.25,395.139 1613.17,417.98 \n",
" 1574.16,441.183 1537.39,464.337 1502.93,487.116 1470.77,509.281 1440.92,530.695 1413.33,551.295 1387.88,571.038 1364.48,589.91 1343.03,607.916 1323.39,625.088 \n",
" 1305.44,641.478 1289.02,657.154 1274.02,672.161 1260.31,686.558 1247.75,700.399 1236.24,713.731 1225.67,726.6 1215.91,739.043 1206.89,751.096 1198.49,762.789 \n",
" 1190.62,774.147 1183.21,785.193 1176.18,795.944 1169.46,806.414 1162.99,816.616 1156.72,826.559 1150.57,836.248 1144.5,845.689 1138.44,854.882 1132.34,863.826 \n",
" 1126.17,872.52 1119.89,880.961 1113.45,889.144 1106.82,897.063 1099.97,904.709 1092.86,912.074 1085.45,919.145 1077.71,925.911 1069.62,932.355 1061.13,938.462 \n",
" 1052.22,944.211 1042.87,949.582 1033.04,954.548 1022.72,959.083 1011.88,963.156 1000.5,966.732 988.557,969.774 976.027,972.244 962.902,974.099 949.175,975.29 \n",
" 934.833,975.758 919.872,975.444 904.299,974.284 888.132,972.213 871.397,969.164 854.132,965.068 836.382,959.855 818.206,953.449 799.671,945.78 780.858,936.825 \n",
" 761.885,926.494 742.886,914.692 724.012,901.357 705.429,886.457 687.318,869.991 669.875,851.989 653.311,832.513 637.851,811.656 623.738,789.543 611.228,766.329 \n",
" 600.592,742.201 592.061,717.397 585.798,692.229 582.001,667.01 580.815,642.05 582.34,617.663 586.622,594.162 593.66,571.863 603.401,551.081 615.741,532.133 \n",
" 630.529,515.337 647.561,501.002 666.567,489.223 687.239,480.019 709.273,473.403 732.375,469.346 756.254,467.775 780.629,468.574 805.224,471.586 829.771,476.611 \n",
" 854.008,483.404 877.691,491.696 900.67,501.312 922.824,512.049 944.044,523.711 964.243,536.116 983.355,549.103 1001.33,562.524 1018.16,576.251 1033.82,590.172 \n",
" 1048.34,604.192 1061.75,618.234 1074.08,632.236 1085.35,646.153 1095.62,659.95 1104.91,673.596 1113.28,687.065 1120.77,700.334 1127.42,713.388 1133.28,726.214 \n",
" 1138.39,738.806 1142.78,751.16 1146.5,763.277 1149.6,775.154 1152.09,786.79 1154.02,798.188 1155.41,809.347 1156.28,820.27 1156.66,830.957 1156.56,841.41 \n",
" 1156.02,851.631 1155.03,861.622 1153.62,871.385 1151.8,880.919 1149.57,890.226 1146.92,899.304 1143.86,908.155 1140.39,916.775 1136.5,925.162 1132.2,933.313 \n",
" 1127.47,941.222 1122.3,948.885 1116.69,956.296 1110.63,963.444 1104.09,970.321 1097.05,976.916 1089.5,983.215 1081.42,989.202 1072.78,994.858 1063.56,1000.16 \n",
" 1053.75,1005.08 1043.31,1009.6 1032.22,1013.68 1020.47,1017.29 1008.04,1020.39 994.887,1022.93 980.989,1024.87 966.318,1026.14 950.859,1026.68 934.606,1026.42 \n",
" 917.562,1025.28 899.738,1023.18 881.155,1020.05 861.842,1015.78 841.837,1010.28 821.185,1003.45 799.952,995.199 778.241,985.474 756.164,974.106 733.858,960.958 \n",
" 711.489,945.933 689.252,928.967 667.366,910.032 646.081,889.138 625.673,866.33 606.448,841.688 588.736,815.331 572.897,787.411 559.288,758.141 548.168,727.894 \n",
" 539.86,697.052 534.632,666.003 532.689,635.147 534.172,604.894 539.154,575.669 547.645,547.908 559.59,522.058 574.868,498.581 593.293,477.948 614.602,460.6 \n",
" 638.366,446.605 664.153,435.985 691.551,428.731 720.16,424.772 749.591,423.975 779.468,426.147 809.427,431.032 839.116,438.311 868.194,447.604 896.378,458.552 \n",
" 923.529,470.927 949.51,484.449 974.212,498.862 997.555,513.937 1019.48,529.473 1039.97,545.297 1059.03,561.263 1076.67,577.253 1092.96,593.178 1107.98,608.973 \n",
" 1121.74,624.582 1134.32,639.968 1145.78,655.103 1156.17,669.966 1165.57,684.54 1174.04,698.813 1181.64,712.78 1188.44,726.441 1194.48,739.801 1199.84,752.865 \n",
" 1204.56,765.637 1208.69,778.125 1212.28,790.334 1215.37,802.271 1217.99,813.944 1220.19,825.361 1222.01,836.529 1223.46,847.455 1224.57,858.146 1225.37,868.608 \n",
" 1225.87,878.848 1226.09,888.872 1226.05,898.686 1225.77,908.296 1225.25,917.707 1224.5,926.924 1223.52,935.952 1222.33,944.796 1220.92,953.459 1219.3,961.945 \n",
" 1217.45,970.258 1215.39,978.402 1213.11,986.38 1210.61,994.194 1207.86,1001.85 1204.88,1009.34 1201.64,1016.67 1198.13,1023.85 1194.34,1030.87 1190.26,1037.73 \n",
" 1185.87,1044.44 1181.16,1050.98 1176.09,1057.36 1170.66,1063.58 1164.83,1069.62 1158.59,1075.49 1151.9,1081.17 1144.73,1086.66 1137.06,1091.95 1128.85,1097.01 \n",
" 1120.07,1101.84 1110.68,1106.42 1100.65,1110.72 1089.95,1114.71 1078.51,1118.37 1066.29,1121.68 1053.24,1124.58 1039.31,1127.03 1024.47,1128.98 1008.66,1130.35 \n",
" 991.852,1131.07 974.009,1131.07 955.099,1130.23 935.091,1128.48 913.957,1125.69 891.676,1121.75 868.297,1116.57 843.808,1109.95 818.212,1101.69 791.555,1091.59 \n",
" 763.932,1079.48 735.484,1065.17 706.397,1048.49 676.904,1029.3 647.284,1007.43 617.864,982.759 589.016,955.144 561.072,924.576 534.537,891.134 510.058,854.905 \n",
" 488.24,816.095 469.641,775.029 454.771,732.147 444.097,688.009 438.035,643.296 436.961,598.802 441.199,555.443 451,514.239 466.221,476.083 486.562,441.677 \n",
" 511.66,411.593 541.062,386.276 574.233,366.039 610.548,351.067 649.297,341.413 689.685,337.001 730.922,337.502 772.395,342.278 813.526,350.771 853.823,362.431 \n",
" 892.879,376.713 930.376,393.081 966.081,411.004 999.849,429.957 1031.6,449.493 1061.27,469.386 1088.89,489.395 1114.49,509.318 1138.14,528.988 1159.91,548.283 \n",
" 1179.9,567.118 1198.21,585.45 1214.96,603.245 1230.27,620.488 1244.26,637.182 1257.03,653.333 1268.69,668.951 1279.35,684.048 1289.11,698.64 1298.06,712.744 \n",
" 1306.3,726.384 1313.91,739.581 1320.97,752.351 1327.55,764.712 1333.73,776.677 1339.55,788.26 1345.09,799.474 1350.4,810.331 1355.55,820.841 1360.57,831.014 \n",
" 1365.52,840.857 1370.44,850.375 1375.37,859.571 1380.34,868.447 1385.39,877.005 1390.55,885.246 1395.87,893.168 1401.37,900.771 1407.08,908.05 1413.05,915 \n",
" 1419.29,921.614 1425.83,927.881 1432.71,933.79 1439.95,939.329 1447.59,944.484 1455.66,949.237 1464.18,953.572 1473.2,957.466 1482.73,960.895 1492.81,963.829 \n",
" 1503.47,966.238 1514.75,968.086 1526.66,969.333 1539.23,969.937 1552.5,969.851 1566.49,969.027 1581.22,967.41 1596.69,964.954 1612.92,961.589 1629.93,957.234 \n",
" 1647.73,951.81 1666.31,945.24 1685.65,937.45 1705.7,928.367 1726.4,917.923 1747.68,906.05 1769.44,892.684 1791.59,877.763 1813.98,861.233 1836.49,843.102 \n",
" 1858.89,823.341 1880.94,801.955 1902.39,778.995 1922.96,754.563 1942.36,728.811 1960.29,701.94 1976.43,674.202 1990.43,645.897 2001.95,617.376 2010.64,589.046 \n",
" 2016.25,561.396 2018.59,534.875 2017.5,509.886 2012.9,486.798 2004.78,465.951 1993.2,447.649 1978.26,432.165 1960.17,419.738 1939.19,410.574 1915.63,404.849 \n",
" 1889.91,402.545 1862.5,403.333 1833.85,406.986 1804.37,413.253 1774.44,421.857 1744.42,432.494 1714.65,444.834 1685.42,458.521 1657.02,473.174 1629.66,488.483 \n",
" 1603.47,504.288 1578.56,520.391 1555,536.62 1532.83,552.831 1512.1,568.909 1492.8,584.766 1474.91,600.341 1458.39,615.603 1443.17,630.543 1429.22,645.138 \n",
" 1416.47,659.385 1404.85,673.289 1394.3,686.858 1384.76,700.101 1376.15,713.029 1368.42,725.652 1361.5,737.987 1355.34,750.047 1349.88,761.847 1345.06,773.398 \n",
" 1340.83,784.709 1337.15,795.79 1333.97,806.649 1331.25,817.295 1328.97,827.732 1327.07,837.966 1325.54,848.002 1324.34,857.844 1323.45,867.494 1322.86,876.957 \n",
" 1322.55,886.235 1322.49,895.329 1322.68,904.241 1323.11,912.972 1323.75,921.521 1324.62,929.891 1325.7,938.082 1326.98,946.094 1328.48,953.927 1330.19,961.581 \n",
" 1332.11,969.054 1334.24,976.345 1336.59,983.453 1339.16,990.376 1341.97,997.111 1345.01,1003.66 1348.32,1010.01 1351.88,1016.16 1355.73,1022.12 1359.87,1027.86 \n",
" 1364.33,1033.4 1369.11,1038.71 1374.25,1043.79 1379.75,1048.63 1385.66,1053.23 1391.99,1057.56 1398.77,1061.61 1406.03,1065.37 1413.8,1068.82 1422.12,1071.93 \n",
" 1431.02,1074.68 1440.53,1077.04 1450.7,1078.99 1461.56,1080.48 1473.15,1081.49 1485.54,1081.96 1498.78,1081.84 1512.91,1081.08 1527.98,1079.62 1544.02,1077.36 \n",
" 1561.09,1074.25 1579.2,1070.18 1598.4,1065.07 1618.71,1058.81 1640.17,1051.3 1662.78,1042.41 1686.52,1032.07 1711.36,1020.11 1737.32,1006.35 1764.33,990.62 \n",
" 1792.31,972.781 1821.11,952.718 1850.53,930.344 1880.33,905.592 1910.21,878.423 1939.83,848.824 1968.81,816.805 1996.77,782.447 2023.25,746.022 2047.56,707.861 \n",
" 2069.07,668.369 2087.21,628.034 2101.46,587.417 2111.36,547.16 2116.5,507.979 2116.54,470.673 2111.17,436.114 2100.18,405.243 2083.69,378.749 2062.06,357.04 \n",
" 2035.71,340.406 2005.12,328.994 1970.87,322.804 1933.58,321.693 1893.99,325.37 1852.9,333.403 1811.11,345.196 1769.24,360.037 1727.83,377.28 1687.38,396.336 \n",
" 1648.28,416.667 1610.83,437.789 1575.24,459.269 1541.65,480.73 1510.11,501.865 1480.68,522.54 1453.32,542.65 1427.98,562.112 1404.6,580.873 1383.09,598.907 \n",
" 1363.36,616.22 1345.29,632.845 1328.76,648.821 1313.66,664.183 1299.86,678.977 1287.26,693.246 1275.75,707.031 1265.22,720.371 1255.58,733.3 1246.72,745.852 \n",
" 1238.56,758.055 1231,769.938 1223.97,781.52 1217.39,792.821 1211.21,803.857 1205.36,814.643 1199.77,825.188 1194.4,835.502 1189.18,845.593 1184.06,855.464 \n",
" 1179,865.117 1173.94,874.557 1168.87,883.785 1163.73,892.8 1158.5,901.602 1153.13,910.189 1147.6,918.558 1141.86,926.704 1135.89,934.623 1129.65,942.306 \n",
" 1123.12,949.749 1116.26,956.941 1109.05,963.871 1101.46,970.527 1093.45,976.895 1085,982.956 1076.07,988.694 1066.63,994.088 1056.65,999.112 1046.1,1003.74 \n",
" 1034.96,1007.94 1023.19,1011.68 1010.76,1014.91 997.663,1017.6 983.861,1019.69 969.339,1021.12 954.077,1021.85 938.066,1021.8 921.319,1020.93 903.821,1019.13 \n",
" 885.566,1016.32 866.568,1012.38 846.863,1007.23 826.505,1000.76 805.57,992.893 784.152,983.525 762.367,972.567 740.35,959.93 718.256,945.523 696.255,929.273 \n",
" 674.529,911.175 653.36,891.176 633.045,869.265 613.885,845.487 596.178,819.946 580.227,792.803 566.335,764.28 554.804,734.656 545.941,704.268 540.051,673.511 \n",
" 537.406,642.864 538.12,612.856 542.25,583.928 549.795,556.488 560.698,530.914 574.843,507.555 592.055,486.731 612.103,468.732 634.694,453.818 659.48,442.218 \n",
" 686.054,434.126 713.956,429.399 742.746,427.783 772.028,429.077 801.441,433.05 830.661,439.444 859.403,447.978 887.415,458.338 914.485,470.189 940.437,483.179 \n",
" 965.147,497.096 988.55,511.741 1010.6,526.916 1031.27,542.447 1050.55,558.183 1068.45,574 1084.99,589.795 1100.22,605.491 1114.2,621.034 1126.98,636.374 \n",
" 1138.63,651.478 1149.21,666.325 1158.78,680.898 1167.41,695.184 1175.16,709.176 1182.09,722.868 1188.25,736.263 1193.7,749.363 1198.5,762.176 1202.69,774.707 \n",
" 1206.33,786.961 1209.45,798.945 1212.09,810.666 1214.28,822.131 1216.06,833.346 1217.47,844.319 1218.52,855.057 1219.24,865.566 1219.65,875.852 1219.77,885.92 \n",
" 1219.6,895.777 1219.17,905.428 1218.47,914.878 1217.53,924.132 1216.35,933.195 1214.93,942.071 1213.28,950.764 1211.38,959.277 1209.25,967.613 1206.88,975.776 \n",
" 1204.25,983.767 1201.38,991.589 1198.24,999.243 1194.83,1006.73 1191.13,1014.05 1187.14,1021.21 1182.84,1028.2 1178.21,1035.02 1173.23,1041.67 1167.88,1048.15 \n",
" 1162.14,1054.44 1155.99,1060.55 1149.39,1066.47 1142.34,1072.19 1134.79,1077.69 1126.71,1082.97 1118.07,1088.01 1108.83,1092.79 1098.96,1097.3 1088.42,1101.5 \n",
" 1077.17,1105.36 1065.17,1108.84 1052.37,1111.92 1038.73,1114.54 1024.22,1116.65 1008.83,1118.21 992.495,1119.15 975.136,1119.37 956.709,1118.8 937.179,1117.33 \n",
" 916.529,1114.84 894.76,1111.23 871.887,1106.35 847.943,1100.06 822.977,1092.21 797.054,1082.63 770.257,1071.16 742.684,1057.6 714.485,1041.87 685.877,1023.75 \n",
" 657.119,1003.01 628.515,979.474 600.412,953.064 573.206,923.767 547.337,891.646 523.29,856.842 501.595,819.571 482.828,780.123 467.59,738.898 456.344,696.597 \n",
" 449.512,653.918 447.417,611.538 450.277,570.134 458.198,530.382 471.177,492.958 489.102,458.538 511.754,427.796 538.801,401.406 569.803,380.042 604.091,364.016 \n",
" 640.838,353.099 679.35,347.127 718.975,345.845 759.11,348.903 799.197,355.859 838.724,366.178 877.226,379.231 914.293,394.327 949.697,411.057 983.299,429.027 \n",
" 1014.99,447.848 1044.71,467.184 1072.43,486.753 1098.14,506.325 1121.91,525.722 1143.82,544.82 1163.99,563.544 1182.5,581.804 1199.44,599.569 1214.92,616.834 \n",
" 1229.07,633.6 1242,649.866 1253.81,665.637 1264.59,680.918 1274.45,695.717 1283.47,710.043 1291.73,723.91 1299.32,737.332 1306.32,750.327 1312.8,762.921 \n",
" 1318.84,775.13 1324.5,786.969 1329.85,798.449 1334.92,809.582 1339.78,820.379 1344.49,830.849 1349.07,841.001 1353.59,850.843 1358.08,860.38 1362.58,869.614 \n",
" 1367.11,878.55 1371.71,887.188 1376.42,895.53 1381.26,903.574 1386.26,911.322 1391.47,918.77 1396.91,925.916 1402.6,932.753 1408.58,939.275 1414.87,945.472 \n",
" 1421.5,951.332 1428.49,956.845 1435.89,961.995 1443.71,966.767 1452,971.142 1460.79,975.101 1470.09,978.62 1479.95,981.671 1490.41,984.223 1501.48,986.241 \n",
" 1513.21,987.686 1525.62,988.516 1538.74,988.683 1552.61,988.138 1567.24,986.824 1582.67,984.683 1598.91,981.663 1615.95,977.695 1633.82,972.684 1652.56,966.538 \n",
" 1672.14,959.168 1692.54,950.491 1713.71,940.427 1735.59,928.898 1758.08,915.832 1781.09,901.16 1804.49,884.816 1828.13,866.739 1851.86,846.905 1875.46,825.338 \n",
" 1898.64,802.04 1921.1,777.068 1942.52,750.54 1962.58,722.629 1980.93,693.569 1997.23,663.651 2011.12,633.224 2022.22,602.698 2030.16,572.537 2034.61,543.299 \n",
" 2035.4,515.541 2032.43,489.695 2025.66,466.147 2015.15,445.236 2000.97,427.256 1983.31,412.456 1962.4,401.038 1938.56,393.158 1912.14,388.926 1883.6,388.392 \n",
" 1853.48,391.2 1822.29,396.95 1790.5,405.314 1758.51,415.954 1726.7,428.52 1695.39,442.656 1664.89,457.996 1635.43,474.161 1607.22,490.794 1580.38,507.726 \n",
" 1554.99,524.789 1531.09,541.828 1508.71,558.715 1487.86,575.349 1468.52,591.659 1450.66,607.596 1434.21,623.144 1419.11,638.308 1405.29,653.078 1392.68,667.458 \n",
" 1381.2,681.464 1370.79,695.109 1361.36,708.408 1352.85,721.378 1345.18,734.036 1338.3,746.398 1332.13,758.484 1326.62,770.307 1321.7,781.88 1317.33,793.216 \n",
" 1313.45,804.325 1310.03,815.216 1307.02,825.899 1304.39,836.38 1302.09,846.666 1300.09,856.76 1298.35,866.667 1296.87,876.392 1295.61,885.939 1294.56,895.311 \n",
" 1293.69,904.511 1293,913.543 1292.45,922.409 1292.05,931.11 1291.78,939.648 1291.63,948.025 1291.59,956.245 1291.65,964.308 1291.82,972.216 1292.08,979.972 \n",
" 1292.43,987.577 1292.87,995.032 1293.39,1002.34 1294.01,1009.5 1294.7,1016.51 1295.49,1023.39 1296.36,1030.12 1297.33,1036.7 1298.38,1043.15 1299.54,1049.46 \n",
" 1300.79,1055.63 1302.15,1061.67 1303.62,1067.57 1305.21,1073.33 1306.92,1078.95 1308.77,1084.44 1310.76,1089.8 1312.89,1095.01 1315.2,1100.09 1317.67,1105.03 \n",
" 1320.33,1109.83 1323.19,1114.49 1326.26,1119 1329.56,1123.37 1333.11,1127.58 1336.92,1131.64 1341.02,1135.53 1345.43,1139.26 1350.17,1142.81 1355.26,1146.17 \n",
" 1360.74,1149.34 1366.63,1152.31 1372.96,1155.06 1379.77,1157.58 1387.09,1159.85 1394.97,1161.85 1403.44,1163.56 1412.55,1164.94 1422.35,1165.97 1432.88,1166.61 \n",
" 1444.2,1166.83 1456.36,1166.59 1469.4,1165.82 1483.4,1164.49 1498.43,1162.52 1514.57,1159.83 1531.86,1156.35 1550.38,1151.97 1570.18,1146.58 1591.3,1140.07 \n",
" 1613.8,1132.31 1637.73,1123.15 1663.11,1112.44 1689.93,1100.05 1718.17,1085.83 1747.86,1069.49 1778.99,1050.78 1811.46,1029.49 1845.11,1005.45 1879.7,978.507 \n",
" 1914.93,948.552 1950.4,915.506 1985.68,879.326 2020.24,840.001 2053.53,797.586 2084.99,752.423 2113.66,704.99 2138.66,655.872 2159.18,605.769 2174.5,555.499 \n",
" 2184,505.995 2187.15,458.306 2183.49,413.598 2172.67,373.152 2154.53,338.245 2129.54,309.592 2098.25,287.663 2061.33,272.712 2019.58,264.759 1973.89,263.592 \n",
" 1925.29,268.769 1874.9,279.616 1823.82,295.213 1772.87,314.536 1722.78,336.652 1674.17,360.719 1627.52,385.98 1583.18,411.767 1541.36,437.499 1502.15,462.689 \n",
" 1465.62,487.086 1431.73,510.545 1400.41,532.952 1371.58,554.238 1345.12,574.385 1320.88,593.423 1298.7,611.419 1278.43,628.431 1259.91,644.539 1242.99,659.821 \n",
" 1227.51,674.352 1213.34,688.2 1200.33,701.427 1188.37,714.092 1177.32,726.245 1167.07,737.934 1157.51,749.199 1148.54,760.071 1140.08,770.578 1132.04,780.741 \n",
" 1124.33,790.578 1116.88,800.103 1109.63,809.324 1102.49,818.246 1095.42,826.873 1088.37,835.204 1081.28,843.236 1074.11,850.966 1066.82,858.386 1059.36,865.488 \n",
" 1051.69,872.26 1043.79,878.691 1035.6,884.765 1027.12,890.465 1018.3,895.771 1009.13,900.663 999.583,905.116 989.641,909.104 979.286,912.599 968.503,915.57 \n",
" 957.278,917.985 945.604,919.812 933.483,921.012 920.911,921.539 907.895,921.349 894.449,920.396 880.595,918.634 866.362,916.017 851.788,912.502 836.918,908.041 \n",
" 821.807,902.589 806.513,896.107 791.106,888.584 775.688,879.967 760.367,870.21 745.263,859.289 730.502,847.202 716.216,833.966 702.549,819.62 689.647,804.223 \n",
" 677.667,787.857 666.774,770.622 657.139,752.64 648.941,734.055 642.329,715.038 637.408,695.795 634.308,676.539 633.127,657.484 633.932,638.839 636.754,620.817 \n",
" 641.597,603.628 648.43,587.484 657.188,572.593 667.778,559.167 680.071,547.413 693.909,537.451 709.098,529.306 725.436,523.012 742.724,518.579 760.762,515.985 \n",
" 779.357,515.185 798.314,516.103 817.442,518.637 836.551,522.659 855.455,528.012 873.985,534.536 892.036,542.119 909.509,550.622 926.314,559.912 942.378,569.864 \n",
" 957.64,580.364 972.056,591.306 985.593,602.592 998.234,614.135 1009.98,625.856 1020.83,637.685 1030.81,649.563 1039.92,661.45 1048.18,673.307 1055.62,685.104 \n",
" 1062.26,696.808 1068.12,708.394 1073.23,719.84 1077.62,731.127 1081.31,742.24 1084.33,753.167 1086.69,763.9 1088.43,774.43 1089.57,784.748 1090.12,794.849 \n",
" 1090.11,804.727 1089.54,814.374 1088.43,823.786 1086.79,832.954 1084.62,841.874 1081.95,850.536 1078.77,858.935 1075.09,867.063 1070.91,874.911 1066.24,882.469 \n",
" 1061.06,889.725 1055.37,896.669 1049.17,903.288 1042.44,909.564 1035.19,915.48 1027.4,921.017 1019.06,926.151 1010.17,930.857 1000.72,935.11 990.714,938.88 \n",
" 980.135,942.136 968.988,944.847 957.261,946.97 944.945,948.46 932.039,949.268 918.55,949.346 904.493,948.642 889.89,947.103 874.772,944.673 859.177,941.298 \n",
" 843.153,936.917 826.752,931.471 810.038,924.897 793.077,917.178 775.968,908.266 758.831,898.076 741.799,886.553 725.011,873.669 708.621,859.419 692.791,843.827 \n",
" 677.694,826.943 663.515,808.843 650.448,789.63 638.697,769.432 628.479,748.405 620.019,726.731 613.514,704.642 609.075,682.434 606.825,660.367 606.853,638.694 \n",
" 609.214,617.665 613.923,597.523 620.963,578.509 630.278,560.854 641.778,544.788 655.334,530.536 670.785,518.314 687.93,508.338 706.518,500.682 726.26,495.246 \n",
" 746.892,491.989 768.161,490.844 789.829,491.719 811.673,494.495 833.48,499.03 855.056,505.155 876.216,512.676 896.792,521.373 916.636,531.023 935.658,541.519 \n",
" 953.796,552.722 971,564.493 987.227,576.707 1002.45,589.252 1016.65,602.028 1029.83,614.95 1041.99,627.943 1053.16,640.948 1063.37,653.916 1072.64,666.812 \n",
" 1081.02,679.595 1088.52,692.244 1095.19,704.738 1101.07,717.06 1106.19,729.194 1110.59,741.128 1114.29,752.852 1117.33,764.358 1119.73,775.641 1121.52,786.698 \n",
" 1122.74,797.529 1123.4,808.129 1123.52,818.497 1123.13,828.632 1122.22,838.532 1120.83,848.195 1118.94,857.619 1116.57,866.799 1113.73,875.733 1110.42,884.416 \n",
" 1106.65,892.842 1102.41,901.008 1097.7,908.905 1092.53,916.525 1086.87,923.86 1080.71,930.898 1074.05,937.628 1066.87,944.035 1059.15,950.102 1050.89,955.808 \n",
" 1042.06,961.132 1032.66,966.048 1022.67,970.53 1012.07,974.548 1000.86,978.071 989.018,981.06 976.522,983.471 963.354,985.254 949.502,986.355 934.967,986.719 \n",
" 919.753,986.286 903.874,984.991 887.353,982.766 870.22,979.54 852.511,975.237 834.272,969.778 815.557,963.084 796.441,955.131 777.024,945.823 757.422,935.041 \n",
" 737.771,922.694 718.223,908.726 698.952,893.108 680.148,875.845 662.023,856.971 644.805,836.551 628.742,814.682 614.101,791.49 601.167,767.133 590.242,741.804 \n",
" 581.532,715.811 575.239,689.492 571.55,663.163 570.608,637.146 572.502,611.759 577.276,587.325 584.923,564.165 595.39,542.603 608.573,522.965 624.32,505.575 \n",
" 642.431,490.761 662.639,478.78 684.575,469.568 707.894,463.101 732.266,459.327 757.38,458.157 782.935,459.459 808.649,463.065 834.254,468.764 859.494,476.305 \n",
" 884.131,485.399 907.95,495.743 930.834,507.179 952.697,519.519 973.464,532.574 993.08,546.174 1011.51,560.168 1028.72,574.425 1044.72,588.833 1059.52,603.298 \n",
" 1073.16,617.745 1085.68,632.121 1097.13,646.38 1107.54,660.48 1116.97,674.397 1125.46,688.114 1133.06,701.612 1139.82,714.88 1145.8,727.906 1151.03,740.685 \n",
" 1155.56,753.211 1159.42,765.484 1162.66,777.506 1165.31,789.282 1167.41,800.812 1169,812.1 1170.09,823.149 1170.7,833.962 1170.87,844.541 1170.6,854.89 \n",
" 1169.91,865.012 1168.82,874.908 1167.34,884.582 1165.49,894.036 1163.25,903.271 1160.65,912.286 1157.67,921.084 1154.3,929.664 1150.55,938.024 1146.41,946.161 \n",
" 1141.87,954.074 1136.91,961.756 1131.54,969.204 1125.73,976.411 1119.47,983.368 1112.75,990.065 1105.53,996.493 1097.8,1002.64 1089.53,1008.48 1080.69,1014.01 \n",
" 1071.27,1019.2 1061.23,1024.02 1050.55,1028.44 1039.21,1032.44 1027.16,1035.97 1014.4,1039 1000.92,1041.48 986.668,1043.37 971.604,1044.59 955.7,1045.08 \n",
" 938.939,1044.77 921.316,1043.56 902.839,1041.37 883.527,1038.12 863.412,1033.7 842.535,1028 820.952,1020.92 798.731,1012.34 775.951,1002.14 752.716,990.26 \n",
" 729.185,976.583 705.544,960.941 682.006,943.216 658.811,923.344 636.225,901.308 614.542,877.147 594.081,850.946 575.188,822.846 558.236,793.036 543.624,761.757 \n",
" 531.774,729.305 523.004,696.169 517.567,662.856 515.674,629.832 517.466,597.557 523.014,566.484 532.321,537.061 545.318,509.731 561.87,484.928 581.77,463.084 \n",
" 604.743,444.622 630.443,429.959 658.364,419.158 687.959,412.036 718.752,408.467 750.299,408.274 782.187,411.226 814.035,417.04 845.493,425.381 876.245,435.86 \n",
" 906.005,448.038 934.544,461.519 961.752,476.104 987.545,491.529 1011.86,507.557 1034.66,523.978 1055.93,540.616 1075.68,557.322 1093.93,573.978 1110.76,590.498 \n",
" 1126.22,606.824 1140.39,622.903 1153.33,638.697 1165.12,654.186 1175.82,669.358 1185.52,684.201 1194.28,698.71 1202.18,712.883 1209.28,726.718 1215.64,740.223 \n",
" 1221.33,753.404 1226.4,766.274 1230.91,778.841 1234.91,791.113 1238.44,803.101 1241.55,814.812 1244.26,826.254 1246.63,837.437 1248.69,848.369 1250.46,859.059 \n",
" 1251.97,869.514 1253.26,879.742 1254.33,889.75 1255.21,899.543 1255.91,909.128 1256.44,918.511 1256.83,927.698 1257.07,936.694 1257.19,945.506 1257.2,954.139 \n",
" 1257.09,962.597 1256.88,970.885 1256.56,979.007 1256.14,986.967 1255.63,994.771 1255.02,1002.42 1254.32,1009.92 1253.53,1017.28 1252.65,1024.5 1251.66,1031.57 \n",
" 1250.58,1038.52 1249.39,1045.33 1248.1,1052.01 1246.69,1058.57 1245.17,1065 1243.53,1071.32 1241.75,1077.52 1239.84,1083.6 1237.78,1089.58 1235.56,1095.44 \n",
" 1233.17,1101.2 1230.6,1106.85 1227.85,1112.39 1224.88,1117.84 1221.69,1123.18 1218.27,1128.41 1214.59,1133.55 1210.64,1138.59 1206.39,1143.52 1201.83,1148.35 \n",
" 1196.92,1153.08 1191.65,1157.7 1185.99,1162.2 1179.89,1166.59 1173.35,1170.85 1166.31,1174.98 1158.74,1178.96 1150.61,1182.79 1141.87,1186.44 1132.48,1189.92 \n",
" 1122.38,1193.19 1111.53,1196.23 1099.87,1199 1087.35,1201.48 1073.92,1203.6 1059.5,1205.33 1044.05,1206.61 1027.5,1207.38 1009.81,1207.56 990.94,1207.07 \n",
" 970.789,1205.81 949.268,1203.65 926.317,1200.45 901.899,1196.07 876.002,1190.32 848.639,1183.01 819.848,1173.93 789.692,1162.86 758.26,1149.56 725.663,1133.75 \n",
" 692.045,1115.2 657.648,1093.76 622.795,1069.03 587.877,1040.67 553.358,1008.47 519.774,972.325 487.732,932.282 457.911,888.501 431.061,841.268 408.006,790.999 \n",
" 389.64,738.232 376.694,683.798 369.752,628.808 369.344,574.349 375.796,521.502 389.226,471.348 409.552,424.965 436.483,383.43 469.526,347.818 507.973,319.161 \n",
" 550.801,297.686 596.951,283.26 645.435,275.663 695.327,274.498 745.753,279.191 795.899,288.995 845.004,302.985 892.387,320.108 937.684,339.66 980.661,360.974 \n",
" 1021.14,383.422 1059,406.47 1094.2,429.677 1126.77,452.7 1156.81,475.287 1184.47,497.28 1209.87,518.541 1233.13,539.011 1254.41,558.677 1273.87,577.532 \n",
" 1291.66,595.58 1307.92,612.83 1322.8,629.301 1336.43,645.018 1348.94,660.018 1360.46,674.341 1371.11,688.028 1381.01,701.111 1390.25,713.619 1398.92,725.577 \n",
" 1407.12,737.01 1414.93,747.939 1422.44,758.382 1429.72,768.354 1436.84,777.869 1443.84,786.933 1450.8,795.552 1457.75,803.728 1464.75,811.464 1471.85,818.757 \n",
" 1479.08,825.607 1486.49,832.009 1494.12,837.959 1502.02,843.446 1510.19,848.457 1518.69,852.975 1527.52,856.985 1536.71,860.467 1546.3,863.401 1556.29,865.764 \n",
" 1566.72,867.533 1577.59,868.682 1588.92,869.185 1600.71,869.009 1612.98,868.114 1625.72,866.465 1638.92,864.026 1652.58,860.762 1666.67,856.64 1681.16,851.625 \n",
" 1696.03,845.686 1711.22,838.793 1726.69,830.921 1742.38,822.066 1758.2,812.195 1774.06,801.285 1789.86,789.336 1805.47,776.365 1820.78,762.41 1835.64,747.525 \n",
" 1849.9,731.786 1863.42,715.288 1876.01,698.143 1887.5,680.485 1897.69,662.464 1906.44,644.259 1913.59,626.082 1918.99,608.147 1922.5,590.66 1924.01,573.826 \n",
" 1923.46,557.845 1920.81,542.913 1916.06,529.223 1909.23,516.961 1900.37,506.312 1889.59,497.456 1877.01,490.484 1862.81,485.376 1847.2,482.131 1830.38,480.723 \n",
" 1812.54,481.101 1793.89,483.187 1774.64,486.875 1755,492.036 1735.17,498.513 1715.39,506.123 1695.84,514.681 1676.66,524.071 1657.98,534.154 1639.89,544.793 \n",
" 1622.5,555.866 1605.9,567.264 1590.13,578.887 1575.25,590.65 1561.28,602.478 1548.24,614.308 1536.13,626.09 1524.92,637.786 1514.61,649.367 1505.2,660.809 \n",
" 1496.66,672.096 1488.96,683.21 1482.08,694.137 1475.98,704.867 1470.65,715.39 1466.06,725.7 1462.18,735.792 1458.98,745.667 1456.43,755.319 1454.51,764.741 \n",
" 1453.2,773.932 1452.47,782.887 1452.31,791.601 1452.71,800.07 1453.64,808.286 1455.1,816.243 1457.07,823.933 1459.56,831.346 1462.53,838.472 1466.01,845.301 \n",
" 1469.97,851.819 1474.42,858.016 1479.38,863.879 1484.84,869.394 1490.81,874.544 1497.3,879.311 1504.31,883.674 1511.86,887.61 1519.95,891.094 1528.59,894.1 \n",
" 1537.78,896.597 1547.54,898.557 1557.88,899.95 1568.8,900.739 1580.32,900.884 1592.45,900.345 1605.19,899.078 1618.54,897.04 1632.48,894.188 1647.01,890.474 \n",
" 1662.09,885.853 1677.71,880.277 1693.83,873.696 1710.4,866.068 1727.36,857.388 1744.65,847.594 1762.18,836.629 1779.86,824.459 1797.57,811.074 1815.18,796.484 \n",
" 1832.55,780.722 1849.52,763.846 1865.9,745.933 1881.49,727.086 1896.1,707.428 1909.49,687.105 1921.41,666.286 1931.67,645.19 1940.11,624.093 1946.51,603.252 \n",
" 1950.7,582.92 1952.55,563.344 1951.99,544.764 1948.94,527.417 1943.41,511.533 1935.41,497.339 1925.03,485.054 1912.35,474.892 1897.54,467.058 1880.81,461.536 \n",
" 1862.45,458.249 1842.71,457.144 1821.86,458.141 1800.15,461.129 1777.84,465.972 1755.16,472.504 1732.36,480.529 1709.69,489.826 1687.36,500.144 1665.6,511.239 \n",
" 1644.53,523.007 1624.23,535.299 1604.82,547.974 1586.36,560.906 1568.9,573.984 1552.5,587.116 1537.16,600.224 1522.91,613.248 1509.72,626.142 1497.56,638.877 \n",
" 1486.4,651.442 1476.21,663.81 1466.97,675.966 1458.64,687.903 1451.18,699.616 1444.55,711.1 1438.72,722.352 1433.64,733.371 1429.28,744.156 1425.61,754.707 \n",
" 1422.6,765.027 1420.22,775.119 1418.42,784.981 1417.19,794.611 1416.5,804.009 1416.34,813.175 1416.68,822.106 1417.52,830.799 1418.84,839.251 1420.63,847.456 \n",
" 1422.88,855.408 1425.58,863.098 1428.73,870.519 1432.32,877.66 1436.36,884.513 1440.86,891.07 1445.82,897.319 1451.25,903.247 1457.16,908.839 1463.57,914.079 \n",
" 1470.49,918.947 1477.92,923.422 1485.89,927.481 1494.41,931.099 1503.49,934.248 1513.15,936.9 1523.42,939.024 1534.33,940.582 1545.88,941.535 1558.1,941.841 \n",
" 1571,941.454 1584.59,940.325 1598.88,938.402 1613.87,935.63 1629.56,931.95 1645.95,927.3 1663.01,921.63 1680.7,914.914 1699,907.048 1717.89,897.937 \n",
" 1737.31,887.504 1757.2,875.692 1777.44,862.462 1797.92,847.791 1818.5,831.679 1838.99,814.14 1859.2,795.209 1878.92,774.939 1897.89,753.401 1915.86,730.686 \n",
" 1932.6,706.944 1947.85,682.426 1961.27,657.39 1972.56,632.111 1981.46,606.883 1987.74,582.016 1991.23,557.837 1991.78,534.692 1989.3,512.942 1983.72,492.967 \n",
" 1975.02,475.166 1963.25,459.912 1948.61,447.337 1931.37,437.522 1911.8,430.514 1890.19,426.308 1866.84,424.852 1842.07,426.042 1816.2,429.724 1789.57,435.696 \n",
" 1762.55,443.705 1735.49,453.448 1708.72,464.613 1682.46,476.95 1656.91,490.209 1632.24,504.163 1608.59,518.61 1586.08,533.373 1564.77,548.301 1544.72,563.267 \n",
" 1525.95,578.168 1508.43,592.928 1492.16,607.49 1477.12,621.823 1463.28,635.904 1450.59,649.716 1439,663.247 1428.46,676.489 1418.92,689.44 1410.33,702.103 \n",
" 1402.64,714.486 1395.8,726.603 1389.74,738.46 1384.41,750.064 1379.78,761.422 1375.79,772.541 1372.41,783.428 1369.59,794.088 1367.3,804.525 1365.51,814.745 \n",
" 1364.18,824.75 1363.29,834.541 1362.82,844.121 1362.74,853.492 1363.05,862.655 1363.73,871.61 1364.76,880.358 1366.15,888.896 1367.88,897.222 1369.94,905.332 \n",
" 1372.33,913.222 1375.05,920.888 1378.11,928.327 1381.51,935.534 1385.25,942.503 1389.36,949.229 1393.83,955.702 1398.68,961.914 1403.93,967.854 1409.59,973.51 \n",
" 1415.68,978.869 1422.22,983.915 1429.23,988.634 1436.73,993.009 1444.76,997.018 1453.35,1000.64 1462.51,1003.84 1472.28,1006.6 1482.68,1008.88 1493.76,1010.64 \n",
" 1505.54,1011.84 1518.06,1012.45 1531.31,1012.41 1545.36,1011.68 1560.24,1010.19 1576,1007.86 1592.67,1004.61 1610.26,1000.38 1628.78,995.085 1648.22,988.631 \n",
" 1668.57,980.932 1689.8,971.896 1711.87,961.427 1734.73,949.424 1758.33,935.782 1782.56,920.46 1807.29,903.366 1832.37,884.378 1857.59,863.426 1882.74,840.493 \n",
" 1907.54,815.615 1931.7,788.879 1954.87,760.424 1976.69,730.443 1996.73,699.18 2014.56,666.931 2029.71,634.066 2041.84,601.13 2050.57,568.66 2055.57,537.165 \n",
" 2056.6,507.134 2053.51,479.041 2046.22,453.34 2034.76,430.468 2019.21,410.845 1999.76,394.871 1976.68,382.93 1950.35,375.255 1921.38,371.554 1890.31,371.617 \n",
" 1857.66,375.207 1823.92,382.027 1789.57,391.729 1755.07,403.911 1720.84,418.114 1687.29,433.827 1654.81,450.518 1623.58,467.942 1593.75,485.844 1565.45,503.976 \n",
" 1538.77,522.124 1513.75,540.116 1490.42,557.821 1468.76,575.143 1448.74,592.03 1430.26,608.466 1413.24,624.463 1397.64,639.994 1383.37,655.071 1370.35,669.714 \n",
" 1358.49,683.943 1347.7,697.78 1337.9,711.244 1329.02,724.355 1320.98,737.135 1313.72,749.603 1307.15,761.781 1301.23,773.688 1295.87,785.339 1291.01,796.747 \n",
" 1286.62,807.926 1282.64,818.885 1279.02,829.635 1275.73,840.184 1272.71,850.539 1269.94,860.706 1267.36,870.688 1264.97,880.491 1262.72,890.119 1260.6,899.576 \n",
" 1258.59,908.867 1256.66,917.995 1254.79,926.962 1252.96,935.771 1251.16,944.425 1249.35,952.924 1247.54,961.272 1245.7,969.472 1243.83,977.526 1241.91,985.435 \n",
" 1239.92,993.203 1237.85,1000.83 1235.69,1008.32 1233.43,1015.68 1231.04,1022.89 1228.53,1029.98 1225.87,1036.94 1223.05,1043.76 1220.06,1050.46 1216.87,1057.03 \n",
" 1213.48,1063.47 1209.87,1069.79 1206.01,1075.98 1201.89,1082.04 1197.48,1087.97 1192.78,1093.77 1187.74,1099.44 1182.35,1104.97 1176.58,1110.36 1170.41,1115.6 \n",
" 1163.79,1120.68 1156.71,1125.61 1149.12,1130.35 1140.99,1134.91 1132.28,1139.28 1122.95,1143.42 1112.95,1147.32 1102.25,1150.97 1090.79,1154.31 1078.53,1157.32 \n",
" 1065.41,1159.96 1051.39,1162.18 1036.41,1163.92 1020.42,1165.13 1003.4,1165.74 985.269,1165.67 965.958,1164.81 945.41,1163.06 923.589,1160.3 900.479,1156.38 \n",
" 876.08,1151.15 850.412,1144.44 823.513,1136.08 795.438,1125.86 766.263,1113.58 736.085,1099.03 705.086,1082.09 673.48,1062.43 641.54,1039.76 609.601,1013.86 \n",
" 578.063,984.628 547.39,952.011 518.112,916.059 490.821,876.905 466.173,834.764 444.892,789.937 427.644,742.938 415.007,694.594 407.551,645.714 405.702,597.126 \n",
" 409.736,549.677 419.784,504.234 435.83,461.68 457.71,422.921 485.115,388.879 517.587,360.496 554.383,338.337 594.533,322.292 637.19,312.26 681.55,308.003 \n",
" 726.856,309.141 772.392,315.155 817.486,325.387 861.509,339.038 903.913,355.244 944.437,373.494 982.892,393.237 1019.13,413.966 1053.06,435.247 1084.64,456.72 \n",
" 1113.89,478.098 1140.89,499.167 1165.76,519.786 1188.66,539.871 1209.64,559.326 1228.86,578.134 1246.43,596.291 1262.5,613.795 1277.2,630.653 1290.64,646.874 \n",
" 1302.95,662.471 1314.24,677.464 1324.62,691.876 1334.18,705.736 1343.04,719.075 1351.29,731.917 1359.02,744.283 1366.3,756.19 1373.2,767.656 1379.8,778.696 \n",
" 1386.17,789.324 1392.36,799.55 1398.45,809.386 1404.48,818.837 1410.5,827.907 1416.55,836.597 1422.67,844.909 1428.9,852.841 1435.29,860.391 1441.88,867.555 \n",
" 1448.69,874.329 1455.78,880.705 1463.17,886.673 1470.9,892.218 1478.98,897.326 1487.45,901.979 1496.34,906.156 1505.68,909.837 1515.49,912.996 1525.81,915.607 \n",
" 1536.65,917.642 1548.04,919.071 1560,919.856 1572.55,919.952 1585.71,919.316 1599.49,917.901 1613.88,915.66 1628.9,912.543 1644.53,908.498 1660.76,903.474 \n",
" 1677.56,897.414 1694.92,890.272 1712.77,882.023 1731.06,872.589 1749.73,861.898 1768.69,849.901 1787.83,836.571 1807.04,821.9 1826.15,805.905 1845.01,788.622 \n",
" 1863.43,770.108 1881.19,750.445 1898.07,729.733 1913.81,708.095 1928.19,685.692 1941,662.766 1951.94,639.575 1960.75,616.387 1967.24,593.477 1971.22,571.135 \n",
" 1972.56,549.657 1971.17,529.351 1966.98,510.536 1959.99,493.537 1950.23,478.693 1937.79,466.212 1922.91,456.17 1905.8,448.637 1886.72,443.634 1865.92,441.139 \n",
" 1843.69,441.083 1820.3,443.348 1796.08,447.775 1771.33,454.156 1746.41,462.237 1721.59,471.761 1697.1,482.509 1673.11,494.256 1649.83,506.794 1627.38,519.934 \n",
" 1605.9,533.508 1585.46,547.366 1566.14,561.377 1547.97,575.431 1530.95,589.435 1515.08,603.323 1500.36,617.059 1486.77,630.611 1474.28,643.952 1462.85,657.062 \n",
" 1452.44,669.926 1443.01,682.534 1434.52,694.884 1426.93,706.978 1420.18,718.823 1414.23,730.421 1409.03,741.774 1404.54,752.888 1400.72,763.766 1397.53,774.411 \n",
" 1394.95,784.827 1392.93,795.017 1391.45,804.981 1390.48,814.721 1389.99,824.237 1389.96,833.527 1390.38,842.593 1391.23,851.433 1392.51,860.046 1394.21,868.431 \n",
" 1396.32,876.582 1398.83,884.495 1401.74,892.163 1405.06,899.58 1408.77,906.735 1412.89,913.62 1417.42,920.226 1422.37,926.545 1427.76,932.565 1433.6,938.273 \n",
" 1439.9,943.654 1446.69,948.69 1453.98,953.363 1461.79,957.652 1470.14,961.532 1479.05,964.979 1488.55,967.965 1498.65,970.458 1509.4,972.424 1520.82,973.825 \n",
" 1532.94,974.618 1545.77,974.755 1559.35,974.185 1573.68,972.855 1588.78,970.703 1604.66,967.669 1621.34,963.683 1638.82,958.68 1657.05,952.625 1676.04,945.411 \n",
" 1695.79,936.925 1716.27,927.07 1737.43,915.765 1759.18,902.941 1781.42,888.548 1804,872.548 1826.77,854.92 1849.53,835.657 1872.06,814.768 1894.13,792.275 \n",
" 1915.46,768.223 1935.85,742.759 1954.91,716.085 1972.25,688.433 1987.51,660.071 2000.37,631.308 2010.53,602.494 2017.71,574.014 2021.7,546.298 2022.28,519.81 \n",
" 2019.3,495.058 2012.61,472.582 2002.25,452.805 1988.45,435.964 1971.42,422.231 1951.45,411.717 1928.83,404.471 1903.89,400.482 1877,399.678 1848.54,401.925 \n",
" 1818.95,407.029 1788.67,414.735 1758.16,424.696 1727.79,436.478 1697.88,449.732 1668.7,464.143 1640.47,479.422 1613.38,495.31 1587.55,511.576 1563.09,528.017 \n",
" 1540.04,544.459 1518.43,560.77 1498.27,576.883 1479.54,592.741 1462.2,608.3 1446.21,623.525 1431.53,638.395 1418.08,652.9 1405.82,667.039 1394.68,680.825 \n",
" 1384.59,694.278 1375.46,707.407 1367.25,720.223 1359.88,732.743 1353.29,744.979 1347.41,756.946 1342.21,768.655 1337.61,780.119 1333.58,791.347 1330.05,802.349 \n",
" 1327,813.133 1324.38,823.707 1322.17,834.077 1320.33,844.249 1318.83,854.227 1317.64,864.017 1316.75,873.62 1316.12,883.038 1315.73,892.273 1315.58,901.327 \n",
" 1315.65,910.203 1315.93,918.903 1316.42,927.428 1317.1,935.78 1317.97,943.957 1319.02,951.962 1320.26,959.793 1321.68,967.451 1323.29,974.937 1325.08,982.25 \n",
" 1327.07,989.39 1329.25,996.356 1331.63,1003.15 1334.23,1009.76 1337.04,1016.19 1340.08,1022.44 1343.36,1028.51 1346.89,1034.38 1350.7,1040.07 1354.79,1045.55 \n",
" 1359.19,1050.83 1363.91,1055.9 1368.98,1060.75 1374.41,1065.37 1380.23,1069.75 1386.48,1073.88 1393.17,1077.74 1400.33,1081.32 1408.01,1084.6 1416.23,1087.56 \n",
" 1425.04,1090.18 1434.47,1092.42 1444.56,1094.26 1455.35,1095.65 1466.89,1096.56 1479.23,1096.95 1492.41,1096.77 1506.45,1095.96 1521.43,1094.47 1537.41,1092.21 \n",
" 1554.45,1089.11 1572.61,1085.07 1591.9,1080 1612.37,1073.79 1634.03,1066.32 1656.88,1057.47 1680.93,1047.11 1706.17,1035.1 1732.57,1021.29 1760.07,1005.57 \n",
" 1788.54,987.818 1817.91,967.796 1848,945.33 1878.62,920.307 1909.47,892.672 1940.21,862.431 1970.44,829.651 1999.69,794.459 2027.43,757.041 2053.06,717.644 \n",
" 2076.01,676.626 2095.73,634.629 2111.5,592.35 2122.73,550.498 2128.94,509.794 2129.78,470.973 2125.01,434.782 2114.53,401.978 2098.35,373.332 2076.61,349.629 \n",
" 2049.62,331.57 2018.08,319.153 1982.72,312.267 1944.27,310.723 1903.45,314.212 1860.96,322.304 1817.52,334.447 1773.83,349.969 1730.61,368.078 1688.51,387.931 \n",
" 1647.85,409.043 1608.92,430.925 1571.94,453.135 1537.07,475.307 1504.41,497.152 1473.98,518.455 1445.76,539.079 1419.64,558.961 1395.53,578.076 1373.36,596.397 \n",
" 1353.03,613.953 1334.39,630.778 1317.35,646.907 1301.76,662.381 1287.52,677.243 1274.52,691.539 1262.62,705.32 1251.73,718.635 1241.73,731.52 1232.52,744.01 \n",
" 1224.02,756.138 1216.13,767.93 1208.77,779.41 1201.86,790.599 1195.34,801.513 1189.12,812.165 1183.14,822.564 1177.35,832.72 1171.69,842.639 1166.12,852.326 \n",
" 1160.6,861.784 1155.06,871.015 1149.48,880.018 1143.8,888.792 1137.99,897.334 1132.01,905.64 1125.83,913.704 1119.42,921.52 1112.74,929.08 1105.75,936.374 \n",
" \n",
" \"/>\n",
"<circle clip-path=\"url(#clip8202)\" cx=\"1121.31\" cy=\"636.081\" r=\"14\" fill=\"#e26f46\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
"</svg>\n"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Main\n",
"#\n",
"x0 = [-8, 8, rho-1]\n",
"tspan = (0.0,100.0)\n",
"prob = ODEProblem(lorentz,x0,tspan,p)\n",
"sol = solve(prob)\n",
"plot(sol,vars=(1,2,3), xlabel = \"x_1\", ylabel = \"x_2\", zlabel = \"x_3\", legend = false)\n",
"plot!([x0[1]], [x0[2]], [x0[3]], seriestype=:scatter) # point visualisation\n",
"#annotate!([x0[1],x0[2],x0[3],text(\". Point de départ\", 10,:left)])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"p1 = plot(sol,vars=(0,1),ylabel = \"x_1(t)\", legend = false)\n",
"p2 = plot(sol,vars=(0,2),ylabel = \"x_2(t)\", legend = false)\n",
"p3 = plot(sol,vars=(0,3),xlabel = \"t\", ylabel = \"x_3(t)\", legend = false)\n",
"plot(p1,p2,p3,layout=(3,1))#,legend=false)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Attention à bien utiliser les codes\n",
"Nous allons ici résoudre le problème à valeur initiale\n",
"$$(IVP)\\left\\{\\begin{array}{l}\n",
"\\dot{x}_1(t)=x_1(t)+x_2(t)+\\sin t\\\\\n",
"\\dot{x}_2(t)=-x_1(t)+3x_2(t)\\\\\n",
"x_1(0)=-9/25\\\\\n",
"x_2(0)=-4/25,\n",
"\\end{array}\\right.\n",
"$$\n",
"dont la solution est\n",
"\\begin{align*}\n",
"x_1(t)&= (-1/25)(13\\sin t+9\\cos t)\\\\\n",
"x_2(t)&= (-1/25)(3\\sin t+4\\cos t).\n",
"\\end{align*}"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"function exemple1(x,p,t)\n",
"# second member of the IVP\n",
"# Input\n",
"# x : state\n",
"# real(2)\n",
"# p : parameter vector\n",
"# t : time\n",
"# real\n",
"# Output\n",
"# xpoint : vector of velocity\n",
"# same as x\n",
" xpoint = similar(x) # xpoint est un objet de même type que x\n",
" xpoint[1] = x[1] + x[2] + sin(t)\n",
" xpoint[2] = -x[1] + 3*x[2] \n",
"# xpoint = [x[1]+x[2]+sin(t), -x[1] + 3*x[2]]\n",
" return xpoint \n",
"end\n",
"p = []\n",
"t0 = 0.; tf = 8\n",
"tspan = (t0,tf)\n",
"x0 = [-9/25 , -4/25]\n",
"prob = ODEProblem(exemple1,x0,tspan,p) # défini le problème en Julia\n",
"sol = solve(prob, DP5()) # réalise l'intégration numérique\n",
" # avec ode45 de matlab\n",
"p1 = plot(sol, label = [\"x_1(t)\" \"x_2(t)\"], title = \"ode45 de Matlab\") #, lw = 0.5) # lw = linewidth\n",
"sol = solve(prob, DP5(), reltol = 1.e-6, abstol = 1.e-9)\n",
"p2 = plot(sol, label = [\"x_1(t)\" \"x_2(t)\"], title = \"reltol=1.e-6, abstol=1.e-9\") #, lw = 0.5)\n",
"sol = solve(prob, DP5(), reltol = 1.e-10, abstol = 1.e-15)\n",
"p3 = plot(sol, label = [\"x_1(t)\" \"x_2(t)\"], title = \"reltol=1.e-10, abstol=1.e-16\") #, lw = 0.5)\n",
"T = t0:(tf-t0)/100:tf\n",
"sinT = map(sin,T) # opération vectorielle\n",
"cosT = map(cos,T)\n",
"p4 = plot(T,[(-1/25)*(13*sinT+9*cosT) (-1/25)*(3*sinT+4*cosT)], label = [\"x_1(t)\" \"x_2(t)\"], xlabel = \"t\", title = \"Solution exacte\")\n",
"plot(p1,p2,p3,p4)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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"display_name": "Julia 1.4.1",
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"mimetype": "application/julia",
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