EpiTracSim_demo.ipynb

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    "## EpiTracSim: contact tracing simulator\n",
    "\n",
    "`EpiTracSim` simulates the spread of an infection in a population of individuals, and evaluates the performance of a proposed contact-tracing method. For details of the method, see manuscript by Vishwesha Guttal, Sandeep Krishna, Rahul Siddharthan, \"Risk assessment via layered mobile contact tracing for epidemiological intervention\" (under processing at medRxiv).\n",
    "\n",
    "\n",
    "Briefly: the idea is to assign to each individual in a population a probability of being infected. In common with other tracing methods, meeting an infectious individual changes your probability of being infected. However, so does meeting a probably infectious individual who has not been diagnosed. This chain of probabilities can go to any extent.  In addition, when an individual is tested and diagnosed positive or negative, all contacts of that individual are updated, as well as all contacts of contacts, and so on, recursively up until a pre-defined \"tolerance\". \n",
    "\n",
    "`EpiTracSim` is available as a Julia module. This notebook documents its functions and demonstrates its use. \n",
    "\n",
    "\n",
    "### REQUIREMENTS \n",
    "\n",
    "This is tested with Julia 1.4.0. This notebook uses the following libraries:\n",
    "\n",
    "`Random` (required for EpiTracSim module; part of standard library)\n",
    "\n",
    "`Plots` (optional, for plotting; install with `Pkg.add()`)\n",
    "\n",
    "### Details of the algorithm\n",
    "\n",
    "The individuals are placed on a weighted network whose structure is given below. Weights of links in the network indicate probability of an interaction at a given timestep: for close family members it is 1, while for people such as shop assistants, it is a small number.\n",
    "\n",
    "At the start of the simulation, a few individuals are seeded as infected. \n",
    "\n",
    "At each timestep (called an epoch), all links in the network are sampled. With a probability $p_t$, at a given meeting, an infected individual infects an uninfected individual. A day may consist of multiple epochs.\n",
    "\n",
    "Individuals are also equipped with a mobile app to keep track of encounters and update the probabilities that they themselves are infected. This depends on the current probability of they themselves being infected, and the person they meet being infected.  The calculation is described below. Moreover, when an individual receives an update in their status as a result of a clinical test, all individuals who met that them recently need to have their probabilities updated, and so do their contacts, recursively (while avoiding \"cycles\").  \n",
    "\n",
    "This is compared with a \"naive oracle\" version where the probability of an uninfected individual on meeting an infected individual is incremented by a constant amount. The naive oracle knows the true status of the individual, as opposed to the probability. Despite this knowledge, it performs poorly. Previously proposed and implemented apps trace contacts only with tested individuals and are likely to perform worse. \n",
    "\n",
    "The network is created in three levels: first, families are nucleated, with strong links; then, a few high-contact individuals are linked (for example, shop attendants, bus conductors); lastly, a Barabasi-Albert procedure is run to add additional links. Networks can also be read from a file. \n",
    "\n",
    "An SEIR model is assumed, where prior to contact with infected people, individuals are susceptible (S); after contact, with probability $p_t$ they become exposed (E), that is, infected but not yet infectious; at a rate $k_e$ per epoch, exposed individuals become infectious (I) and can spread the infection; and at a rate $k_r$ per epoch infectious individuals recover. Recovered individuals are assumed immune. We can assume $M$ days per epoch, and use real-world estimates for $k_e$ and $k_r$ per day, as well as of the basic reproductive number $R_0 = p_t C$ where $C$ is the average number of contacts while the individual is infectious, estimated as the average number of interactions of an individual per epoch (calculated from network parameters) times the average infectious duration (= $1/k_r$ epochs).  \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### First, load the module. \n",
    "The module directory needs to be indicated to the system using\n",
    "`push!(LOAD_PATH,\"/path/to/moduledirectory\")`\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Precompiling EpiTracSim [top-level]\n",
      "└ @ Base loading.jl:1260\n"
     ]
    }
   ],
   "source": [
    "push!(LOAD_PATH,\"/home/rsidd/EpiTracSim/\") # edit as per your needs!\n",
    "using EpiTracSim\n",
    "using Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### SIR parameters\n",
    "Start with $R_0$, determined from data; $k_r$, recovery rate, from data; and $N_c$, effective number of contacts, determined from network. Define $N_c$ as $\\sum_{n \\in {\\rm nodes}} \\sum_{i \\in {\\rm links\\;of\\;}n} w_i$ where $w_i$ is the weight of the $i$'th link.\n",
    "\n",
    "Then in the SIR model, $k_i = R_0 k_r/N_c$. We can then integrate the SIR equations to compare with simulation.\n",
    "\n",
    "One epoch = one sweep of each link. So average contact rate $R = N_c$ per epoch.  If one day = $M$ epochs, and recovery time is $d_r$ days = $Md_r$ epochs, then $k_r = \\frac{1}{Md_r}$ and total number of contacts $= N_cMd_r$, so $p_t = \\frac{R_0}{N_cMd_r}$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "###### Simulation parameters \n",
    "($p_t$ is inferred from network properties and $R_0$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "const NNodes = 10000\n",
    "const R0 = 3\n",
    "const Mday = 10.0\n",
    "const d_r = 15\n",
    "const k_r = 1/Mday/d_r\n",
    "const k_e = 1/5/Mday;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The simulation uses probabilities per epoch, not rates. For small numbers it is roughly the same, but the following is more correct. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "p_e = 1-exp(-k_e)\n",
    "p_r = 1-exp(-k_r);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`make_network` calls three functions internally, for dense family networks, \"spreaders\" and BA. The parameters it takes are\n",
    "\n",
    "`make_network(NNodes, pop_dist, spreader_frac, spreader_nlinks, spreader_epochal,\n",
    "    ba_samplefrac::Float64,ba_niter::Int64,ba_weight::Float64)`\n",
    "    \n",
    "where \n",
    "\n",
    "`NNodes` is the number of nodes in the network, as above\n",
    "\n",
    "`pop_dist` is a vector of family size distributions: eg, [1,3,4,2] means 40% 3-member families, 30% two-member, 20% four-member, 10% one-member\n",
    "\n",
    "`spreader_frac`: what fraction of population are \"spreaders\" (interact with many other people — think bus conductors, shop assistants, etc). \n",
    "\n",
    "`spreader_nlinks`: how many links each spreader has (1000 in manuscript)\n",
    "\n",
    "`spreader_epochal`: how many expected interactions per epoch ( 100 in manuscript; link weights are set to `spreader_epochal/spreader_nlinks`)\n",
    "\n",
    "`ba_samplefrac`: in the Barabasi-Albert algorithm, every individual is linked at random to one another, chosen from the coordination number distribution of the others. For efficiency, we pre-sample a fraction of the remaining population before doing this. \n",
    "\n",
    "`ba_niter`: how many times to run the BA algorithm\n",
    "\n",
    "`ba_weight`: The weight of each BA link (0.1 or 0.05 in the manuscript)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "links = make_network(NNodes,[0.2,0.3,0.3,0.1,0.1],0.01,1000,100, 0.1, 10, 0.1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alternatively, the network can be read from a file. The plain text file consists of 3 tab-separated values per line, consisting of node1, node2 (> node 1), and link.  Nodes are numbered starting 1. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# links = read_network_from_file(\"covid19/network_10000_final.txt\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And the network can be saved to a file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# save_network_to_file(links,\"network.txt\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
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       "192664"
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     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "length(links)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Estimate the average number of contacts per node in this network, and estimate $p_t$ from this and $R_0$ which was provided above"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
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     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "Ncontact = get_Ncontact_from_links(NNodes,links)\n",
    "p_t = R0/(Ncontact*Mday*d_r)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Now we can start the simulation\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`contactlist` stores individual contacts as the simulation evolves. `infected` keeps track of truly infected (and also susceptible, exposed, and recovered) individuals. The other two structures keep track of individual contact-tracing probabilities and \"naive oracle\" probabilities. If the last argument is `false`, these are returned as null matrices (when one only wants to simulate and not contact-trace). \n",
    "\n",
    "The convention in `infected` (an array of integers, one for each node) is, 0 for susceptible, 1 for infectious but not tested, 2 for infectious and tested, -1 for recovered, -2 or less for exposed. This may be modified in future for more complex models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "contactlist,probabilities,probabilities_naive, infected = make_structures(NNodes, true);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### initialize a few individuals as infected"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "for n in 1:10\n",
    "    m = rand(1:NNodes)\n",
    "    if length(probabilities)>0\n",
    "        probabilities[m] = 1.0\n",
    "    end\n",
    "    probabilities_naive[m] = 1.0\n",
    "    infected[m]=1;\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#####  Now we can simulate for a desired number of epochs\n",
    "`sweep` executes the simulation for one epoch. It needs to be looped for $n$ epochs. At each epoch, below, the number of S, E, I, R are counted from `infectious` and pushed into arrays for plotting. \n",
    "\n",
    "The parameters for `sweep` are\n",
    "\n",
    "`sweep(links,contactlist, probabilities,probabilities_naive, infected, tolerance, p_t, epoch,contact_tlimit, p_r, p_e, exposed_lowlim, miss_fraction, test_threshold, test_fraction, isolate_factor)`\n",
    "\n",
    "TODO: convert most of these to named arguments!\n",
    "\n",
    "`tolerance` is the limit of relative probability change below which `update_contacts` is not triggered (0.001 below)\n",
    "\n",
    "`contact_tlimit` is how long contacts are retained in an individual's contactlist (50 epochs below)\n",
    "\n",
    "`exposed_lowlim` is the minimum number of days an exposed individual stays uninfectious before becoming infectious (0 below and in manuscript, but can be set higher)\n",
    "\n",
    "`miss_fraction` is percentage of contacts that are \"missed\" (probabilities not updated) because of missing device, etc (0 below)\n",
    "\n",
    "`test_threshold` is threshold of $p$ above which a patient may be \"tested\" (1.0 means won't happen). A tested patient has infection status \"confirmed\" from infection array, and probability changed to 1.0 or 0.0 and propagated to contacts.\n",
    "\n",
    "`test_fraction` = what fraction of patients above `test_threshold` are tested\n",
    "\n",
    "`isolate_factor` = multiplicative factor used to weaken all links to a patient who is tested positive (simulating a quarantine)  \n",
    "\n",
    "1200 sweeps covers the rise and fall of the epidemic nicely. For a network with 10000 nodes and $\\approx$ 200000 links, it takes a few minutes on a 2015 i5 laptop. \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "epoch = 1\n",
    "susceptible = []\n",
    "exposed = []\n",
    "infectious = []\n",
    "recovered = []\n",
    "for n = 1:1200\n",
    "    epoch = sweep(links,contactlist, probabilities,probabilities_naive,\n",
    "            infected, 0.001, p_t, epoch, 50, p_r,p_e,0,0.0,1.0,0.0,0.1)\n",
    "    push!(susceptible,length([x for x in infected if x==0]))\n",
    "    push!(exposed, length([x for x in infected if x<= -2]))\n",
    "    push!(infectious, length([x for x in infected if x>0]))\n",
    "    push!(recovered, length([x for x in infected if x== -1]))\n",
    "end\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Plot the simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
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       "  1171.93,935.845 1173.56,937.016 1175.19,939.229 1176.82,940.661 1178.45,941.833 1180.08,943.004 1181.7,943.785 1183.33,945.347 1184.96,945.737 1186.59,947.299 \n",
       "  1188.22,948.731 1189.85,950.163 1191.48,952.116 1193.11,952.897 1194.73,954.198 1196.36,955.109 1197.99,955.24 1199.62,955.63 1201.25,957.062 1202.88,958.754 \n",
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       "  1220.79,968.777 1222.42,969.428 1224.05,970.469 1225.68,971.51 1227.31,972.031 1228.94,972.161 1230.57,973.463 1232.2,974.244 1233.83,975.545 1235.45,975.936 \n",
       "  1237.08,976.717 1238.71,977.758 1240.34,978.279 1241.97,979.711 1243.6,980.231 1245.23,980.622 1246.86,981.793 1248.48,982.704 1250.11,983.225 1251.74,984.006 \n",
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       "  1269.66,993.248 1271.29,994.419 1272.92,994.68 1274.54,995.2 1276.17,995.591 1277.8,996.502 1279.43,997.153 1281.06,997.674 1282.69,998.194 1284.32,999.366 \n",
       "  1285.95,1000.02 1287.58,1000.93 1289.2,1001.84 1290.83,1002.36 1292.46,1003.14 1294.09,1003.53 1295.72,1004.44 1297.35,1005.22 1298.98,1006.26 1300.61,1007.44 \n",
       "  1302.23,1007.7 1303.86,1008.35 1305.49,1008.61 1307.12,1008.74 1308.75,1009.26 1310.38,1010.04 1312.01,1011.21 1313.64,1012.25 1315.26,1013.03 1316.89,1013.29 \n",
       "  1318.52,1014.07 1320.15,1014.6 1321.78,1014.99 1323.41,1015.25 1325.04,1015.64 1326.67,1015.9 1328.3,1016.16 1329.92,1017.2 1331.55,1017.85 1333.18,1018.5 \n",
       "  1334.81,1019.02 1336.44,1019.8 1338.07,1019.93 1339.7,1020.32 1341.33,1020.58 1342.95,1021.1 1344.58,1021.62 1346.21,1022.01 1347.84,1022.93 1349.47,1023.45 \n",
       "  1351.1,1024.23 1352.73,1024.75 1354.36,1025.79 1355.98,1026.31 1357.61,1026.96 1359.24,1027.22 1360.87,1028.26 1362.5,1028.65 1364.13,1028.91 1365.76,1028.91 \n",
       "  1367.39,1029.04 1369.01,1029.69 1370.64,1029.82 1372.27,1030.48 1373.9,1030.74 1375.53,1031.39 1377.16,1031.78 1378.79,1032.04 1380.42,1032.82 1382.05,1033.21 \n",
       "  1383.67,1033.6 1385.3,1033.86 1386.93,1033.99 1388.56,1034.38 1390.19,1034.64 1391.82,1035.16 1393.45,1035.16 1395.08,1035.55 1396.7,1036.07 1398.33,1036.72 \n",
       "  1399.96,1037.24 1401.59,1037.76 1403.22,1038.15 1404.85,1038.29 1406.48,1038.68 1408.11,1038.81 1409.73,1039.33 1411.36,1039.46 1412.99,1039.98 1414.62,1040.37 \n",
       "  1416.25,1040.5 1417.88,1040.76 1419.51,1040.89 1421.14,1040.89 1422.76,1041.67 1424.39,1042.19 1426.02,1042.32 1427.65,1042.71 1429.28,1043.36 1430.91,1043.88 \n",
       "  1432.54,1043.88 1434.17,1044.14 1435.8,1044.53 1437.42,1044.66 1439.05,1044.92 1440.68,1045.31 1442.31,1045.44 1443.94,1045.57 1445.57,1045.7 1447.2,1045.96 \n",
       "  1448.83,1045.96 1450.45,1046.49 1452.08,1046.88 1453.71,1047.4 1455.34,1047.66 1456.97,1047.79 1458.6,1048.05 1460.23,1048.44 1461.86,1049.09 1463.48,1049.35 \n",
       "  1465.11,1049.87 1466.74,1050.26 1468.37,1050.39 1470,1050.52 1471.63,1050.91 1473.26,1051.3 1474.89,1051.43 1476.52,1051.95 1478.14,1051.95 1479.77,1051.95 \n",
       "  1481.4,1052.08 1483.03,1052.08 1484.66,1052.21 1486.29,1052.47 1487.92,1052.6 1489.55,1052.99 1491.17,1053.25 1492.8,1053.25 1494.43,1053.64 1496.06,1053.64 \n",
       "  1497.69,1053.77 1499.32,1054.56 1500.95,1054.95 1502.58,1055.21 1504.2,1055.6 1505.83,1055.73 1507.46,1055.73 1509.09,1055.99 1510.72,1056.25 1512.35,1056.51 \n",
       "  1513.98,1057.16 1515.61,1057.42 1517.23,1057.42 1518.86,1057.55 1520.49,1057.68 1522.12,1057.68 1523.75,1057.81 1525.38,1058.07 1527.01,1058.33 1528.64,1058.85 \n",
       "  1530.27,1059.24 1531.89,1059.5 1533.52,1060.02 1535.15,1060.15 1536.78,1060.41 1538.41,1060.67 1540.04,1060.93 1541.67,1061.06 1543.3,1061.19 1544.92,1061.32 \n",
       "  1546.55,1061.45 1548.18,1062.24 1549.81,1062.24 1551.44,1062.37 1553.07,1062.63 1554.7,1062.63 1556.33,1062.63 1557.95,1063.02 1559.58,1063.28 1561.21,1063.28 \n",
       "  1562.84,1063.67 1564.47,1063.8 1566.1,1064.19 1567.73,1064.45 1569.36,1064.58 1570.98,1064.71 1572.61,1064.84 1574.24,1065.1 1575.87,1065.1 1577.5,1065.36 \n",
       "  1579.13,1065.62 1580.76,1066.14 1582.39,1066.14 1584.02,1066.27 1585.64,1066.53 1587.27,1066.66 1588.9,1066.79 1590.53,1067.31 1592.16,1067.83 1593.79,1067.83 \n",
       "  1595.42,1067.83 1597.05,1068.09 1598.67,1068.22 1600.3,1068.48 1601.93,1068.61 1603.56,1068.74 1605.19,1068.87 1606.82,1069.26 1608.45,1069.39 1610.08,1069.39 \n",
       "  1611.7,1069.66 1613.33,1069.79 1614.96,1069.92 1616.59,1070.05 1618.22,1070.44 1619.85,1070.44 1621.48,1070.7 1623.11,1071.22 1624.74,1071.48 1626.36,1071.48 \n",
       "  1627.99,1071.61 1629.62,1071.74 1631.25,1071.87 1632.88,1072.13 1634.51,1072.39 1636.14,1072.52 1637.77,1073.04 1639.39,1073.3 1641.02,1073.56 1642.65,1074.08 \n",
       "  1644.28,1074.21 1645.91,1074.47 1647.54,1074.73 1649.17,1075.25 1650.8,1075.38 1652.42,1075.77 1654.05,1075.9 1655.68,1076.03 1657.31,1076.03 1658.94,1076.03 \n",
       "  1660.57,1076.03 1662.2,1076.03 1663.83,1076.42 1665.45,1076.68 1667.08,1076.68 1668.71,1077.07 1670.34,1077.46 1671.97,1077.6 1673.6,1077.86 1675.23,1077.86 \n",
       "  1676.86,1077.99 1678.49,1077.99 1680.11,1078.12 1681.74,1078.12 1683.37,1078.25 1685,1078.38 1686.63,1078.51 1688.26,1078.77 1689.89,1079.16 1691.52,1079.29 \n",
       "  1693.14,1079.42 1694.77,1079.68 1696.4,1079.81 1698.03,1079.81 1699.66,1079.81 1701.29,1079.81 1702.92,1080.07 1704.55,1080.07 1706.17,1080.59 1707.8,1080.59 \n",
       "  1709.43,1080.98 1711.06,1081.37 1712.69,1081.5 1714.32,1081.5 1715.95,1081.76 1717.58,1081.76 1719.2,1081.76 1720.83,1081.76 1722.46,1081.89 1724.09,1082.02 \n",
       "  1725.72,1082.41 1727.35,1082.41 1728.98,1082.41 1730.61,1082.41 1732.24,1082.54 1733.86,1082.67 1735.49,1082.67 1737.12,1082.67 1738.75,1082.67 1740.38,1082.8 \n",
       "  1742.01,1082.93 1743.64,1082.93 1745.27,1082.93 1746.89,1083.19 1748.52,1083.32 1750.15,1083.32 1751.78,1083.32 1753.41,1083.32 1755.04,1083.32 1756.67,1083.58 \n",
       "  1758.3,1083.71 1759.92,1083.84 1761.55,1083.84 1763.18,1083.97 1764.81,1084.23 1766.44,1084.36 1768.07,1084.36 1769.7,1084.36 1771.33,1084.36 1772.96,1084.36 \n",
       "  1774.58,1084.36 1776.21,1084.36 1777.84,1084.36 1779.47,1084.49 1781.1,1084.49 1782.73,1084.62 1784.36,1084.62 1785.99,1084.75 1787.61,1085.01 1789.24,1085.27 \n",
       "  1790.87,1085.27 1792.5,1085.27 1794.13,1085.27 1795.76,1085.27 1797.39,1085.27 1799.02,1085.54 1800.64,1085.67 1802.27,1085.93 1803.9,1086.19 1805.53,1086.19 \n",
       "  1807.16,1086.32 1808.79,1086.32 1810.42,1086.45 1812.05,1086.45 1813.67,1086.58 1815.3,1086.84 1816.93,1086.84 1818.56,1087.1 1820.19,1087.1 1821.82,1087.1 \n",
       "  1823.45,1087.23 1825.08,1087.23 1826.71,1087.23 1828.33,1087.23 1829.96,1087.23 1831.59,1087.23 1833.22,1087.36 1834.85,1087.62 1836.48,1087.62 1838.11,1087.62 \n",
       "  1839.74,1087.75 1841.36,1087.75 1842.99,1087.88 1844.62,1087.88 1846.25,1087.88 1847.88,1087.88 1849.51,1088.01 1851.14,1088.01 1852.77,1088.27 1854.39,1088.4 \n",
       "  1856.02,1088.4 1857.65,1088.66 1859.28,1088.79 1860.91,1088.79 1862.54,1088.79 1864.17,1088.79 1865.8,1088.92 1867.42,1089.31 1869.05,1089.31 1870.68,1089.57 \n",
       "  1872.31,1089.57 1873.94,1089.57 1875.57,1089.83 1877.2,1089.83 1878.83,1089.83 1880.46,1089.96 1882.08,1089.96 1883.71,1089.96 1885.34,1089.96 1886.97,1090.22 \n",
       "  1888.6,1090.22 1890.23,1090.22 1891.86,1090.22 1893.49,1090.22 1895.11,1090.22 1896.74,1090.48 1898.37,1090.48 1900,1090.61 1901.63,1090.61 1903.26,1090.61 \n",
       "  1904.89,1090.61 1906.52,1090.74 1908.14,1090.87 1909.77,1090.87 1911.4,1091.13 1913.03,1091.13 1914.66,1091.13 1916.29,1091.26 1917.92,1091.39 1919.55,1091.39 \n",
       "  1921.18,1091.39 1922.8,1091.52 1924.43,1091.52 1926.06,1091.52 1927.69,1091.52 1929.32,1091.65 1930.95,1091.78 1932.58,1091.78 1934.21,1091.91 1935.83,1091.91 \n",
       "  1937.46,1092.04 1939.09,1092.04 1940.72,1092.04 1942.35,1092.04 1943.98,1092.04 1945.61,1092.17 1947.24,1092.3 1948.86,1092.43 1950.49,1092.43 1952.12,1092.43 \n",
       "  1953.75,1092.43 1955.38,1092.43 1957.01,1092.43 1958.64,1092.43 1960.27,1092.43 1961.89,1092.43 1963.52,1092.43 1965.15,1092.43 1966.78,1092.43 1968.41,1092.43 \n",
       "  1970.04,1092.43 1971.67,1092.43 1973.3,1092.43 1974.93,1092.43 1976.55,1092.43 1978.18,1092.43 1979.81,1092.69 1981.44,1092.82 1983.07,1092.82 1984.7,1092.82 \n",
       "  1986.33,1092.95 1987.96,1092.95 1989.58,1092.95 1991.21,1093.21 1992.84,1093.21 1994.47,1093.35 1996.1,1093.35 1997.73,1093.35 1999.36,1093.35 2000.99,1093.35 \n",
       "  2002.61,1093.61 2004.24,1093.74 2005.87,1093.87 2007.5,1093.87 2009.13,1093.87 2010.76,1093.87 2012.39,1093.87 2014.02,1093.87 2015.64,1094 2017.27,1094 \n",
       "  2018.9,1094 2020.53,1094.13 2022.16,1094.26 2023.79,1094.26 2025.42,1094.26 2027.05,1094.26 2028.68,1094.39 2030.3,1094.39 2031.93,1094.39 2033.56,1094.39 \n",
       "  2035.19,1094.39 2036.82,1094.39 2038.45,1094.52 2040.08,1094.52 2041.71,1094.52 2043.33,1094.65 2044.96,1094.65 2046.59,1094.65 2048.22,1094.65 2049.85,1094.65 \n",
       "  2051.48,1094.78 2053.11,1094.78 2054.74,1094.78 2056.36,1095.04 2057.99,1095.04 2059.62,1095.04 2061.25,1095.04 2062.88,1095.17 2064.51,1095.3 2066.14,1095.3 \n",
       "  2067.77,1095.3 2069.4,1095.3 2071.02,1095.3 2072.65,1095.3 2074.28,1095.3 2075.91,1095.3 2077.54,1095.3 2079.17,1095.3 2080.8,1095.43 2082.43,1095.56 \n",
       "  2084.05,1095.56 2085.68,1095.56 2087.31,1095.69 2088.94,1095.82 2090.57,1095.95 2092.2,1095.95 2093.83,1095.95 2095.46,1096.08 2097.08,1096.21 2098.71,1096.21 \n",
       "  2100.34,1096.21 2101.97,1096.21 2103.6,1096.34 2105.23,1096.34 2106.86,1096.34 2108.49,1096.34 2110.11,1096.34 2111.74,1096.47 2113.37,1096.47 2115,1096.47 \n",
       "  2116.63,1096.47 2118.26,1096.6 2119.89,1096.73 2121.52,1096.86 2123.15,1096.99 2124.77,1096.99 2126.4,1097.12 2128.03,1097.12 2129.66,1097.12 2131.29,1097.12 \n",
       "  2132.92,1097.25 2134.55,1097.25 2136.18,1097.25 2137.8,1097.25 2139.43,1097.25 2141.06,1097.25 2142.69,1097.25 2144.32,1097.25 2145.95,1097.38 2147.58,1097.38 \n",
       "  2149.21,1097.38 2150.83,1097.38 2152.46,1097.38 2154.09,1097.38 2155.72,1097.38 2157.35,1097.38 2158.98,1097.38 2160.61,1097.51 2162.24,1097.51 2163.86,1097.51 \n",
       "  2165.49,1097.51 2167.12,1097.51 2168.75,1097.51 2170.38,1097.51 2172.01,1097.51 2173.64,1097.51 2175.27,1097.51 2176.9,1097.51 2178.52,1097.64 2180.15,1097.64 \n",
       "  2181.78,1097.64 2183.41,1097.77 2185.04,1097.77 2186.67,1097.77 2188.3,1097.9 2189.93,1097.9 2191.55,1097.9 2193.18,1098.03 2194.81,1098.03 2196.44,1098.03 \n",
       "  2198.07,1098.16 2199.7,1098.16 2201.33,1098.16 2202.96,1098.16 2204.58,1098.16 2206.21,1098.16 2207.84,1098.29 2209.47,1098.29 2211.1,1098.29 2212.73,1098.42 \n",
       "  2214.36,1098.42 2215.99,1098.42 2217.62,1098.42 2219.24,1098.42 2220.87,1098.42 2222.5,1098.42 2224.13,1098.42 2225.76,1098.42 2227.39,1098.55 2229.02,1098.55 \n",
       "  2230.65,1098.55 2232.27,1098.55 2233.9,1098.55 2235.53,1098.55 2237.16,1098.55 2238.79,1098.55 2240.42,1098.55 2242.05,1098.55 2243.68,1098.55 2245.3,1098.55 \n",
       "  2246.93,1098.55 2248.56,1098.55 2250.19,1098.55 2251.82,1098.55 2253.45,1098.68 2255.08,1098.68 2256.71,1098.81 2258.33,1098.81 2259.96,1098.81 2261.59,1098.81 \n",
       "  2263.22,1098.81 2264.85,1098.81 2266.48,1098.81 2268.11,1098.81 2269.74,1098.81 2271.37,1098.81 2272.99,1098.81 2274.62,1098.81 2276.25,1098.81 2277.88,1098.81 \n",
       "  2279.51,1098.81 2281.14,1098.81 2282.77,1098.81 2284.4,1098.81 2286.02,1098.94 2287.65,1099.07 2289.28,1099.07 2290.91,1099.07 2292.54,1099.07 2294.17,1099.07 \n",
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       "  357.535,1386.48 359.164,1386.48 360.793,1386.48 362.422,1386.48 364.051,1386.48 365.679,1386.48 367.308,1386.48 368.937,1386.48 370.566,1386.48 372.195,1386.48 \n",
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       "  406.399,1386.35 408.028,1386.35 409.657,1386.35 411.286,1386.35 412.914,1386.35 414.543,1386.35 416.172,1386.35 417.801,1386.35 419.43,1386.35 421.058,1386.35 \n",
       "  422.687,1386.35 424.316,1386.35 425.945,1386.35 427.573,1386.35 429.202,1386.35 430.831,1386.35 432.46,1386.35 434.089,1386.35 435.717,1386.35 437.346,1386.35 \n",
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       "  1057.92,1257.87 1059.54,1257.74 1061.17,1257.74 1062.8,1258.79 1064.43,1260.35 1066.06,1260.35 1067.69,1261.13 1069.32,1261.78 1070.95,1263.21 1072.57,1265.29 \n",
       "  1074.2,1267.12 1075.83,1268.16 1077.46,1269.72 1079.09,1270.63 1080.72,1273.23 1082.35,1273.75 1083.98,1275.19 1085.61,1276.36 1087.23,1275.97 1088.86,1276.75 \n",
       "  1090.49,1277.27 1092.12,1278.83 1093.75,1280.65 1095.38,1282.48 1097.01,1282.87 1098.64,1283.26 1100.26,1284.04 1101.89,1285.6 1103.52,1285.73 1105.15,1287.03 \n",
       "  1106.78,1287.29 1108.41,1288.07 1110.04,1288.72 1111.67,1288.85 1113.29,1289.9 1114.92,1289.63 1116.55,1289.9 1118.18,1291.59 1119.81,1292.76 1121.44,1292.76 \n",
       "  1123.07,1293.67 1124.7,1294.32 1126.32,1294.71 1127.95,1295.49 1129.58,1296.66 1131.21,1297.05 1132.84,1298.23 1134.47,1298.62 1136.1,1299.4 1137.73,1301.35 \n",
       "  1139.36,1301.74 1140.98,1302 1142.61,1302.78 1144.24,1303.3 1145.87,1303.69 1147.5,1303.3 1149.13,1303.56 1150.76,1303.56 1152.39,1304.6 1154.01,1305.38 \n",
       "  1155.64,1305.51 1157.27,1307.08 1158.9,1307.34 1160.53,1307.73 1162.16,1308.25 1163.79,1308.12 1165.42,1307.47 1167.04,1307.99 1168.67,1308.51 1170.3,1309.42 \n",
       "  1171.93,1309.42 1173.56,1309.55 1175.19,1308.77 1176.82,1309.29 1178.45,1309.68 1180.08,1309.81 1181.7,1311.11 1183.33,1311.11 1184.96,1311.63 1186.59,1311.11 \n",
       "  1188.22,1310.85 1189.85,1310.72 1191.48,1309.68 1193.11,1310.33 1194.73,1310.33 1196.36,1311.11 1197.99,1312.67 1199.62,1313.98 1201.25,1313.98 1202.88,1313.98 \n",
       "  1204.51,1314.89 1206.14,1315.54 1207.76,1315.54 1209.39,1316.19 1211.02,1316.71 1212.65,1318.14 1214.28,1318.53 1215.91,1318.66 1217.54,1318.53 1219.17,1318.66 \n",
       "  1220.79,1319.31 1222.42,1319.57 1224.05,1319.57 1225.68,1319.96 1227.31,1320.35 1228.94,1321.53 1230.57,1321 1232.2,1322.31 1233.83,1322.44 1235.45,1323.22 \n",
       "  1237.08,1323.35 1238.71,1323.09 1240.34,1324 1241.97,1323.74 1243.6,1324 1245.23,1325.04 1246.86,1325.17 1248.48,1324.65 1250.11,1325.04 1251.74,1325.95 \n",
       "  1253.37,1326.08 1255,1326.99 1256.63,1326.86 1258.26,1326.73 1259.89,1327.12 1261.51,1327.38 1263.14,1327.77 1264.77,1328.29 1266.4,1329.07 1268.03,1328.81 \n",
       "  1269.66,1329.21 1271.29,1329.21 1272.92,1329.47 1274.54,1330.12 1276.17,1331.55 1277.8,1331.55 1279.43,1331.68 1281.06,1332.72 1282.69,1333.24 1284.32,1332.46 \n",
       "  1285.95,1333.11 1287.58,1333.89 1289.2,1334.02 1290.83,1334.41 1292.46,1334.54 1294.09,1335.19 1295.72,1334.54 1297.35,1334.54 1298.98,1334.28 1300.61,1334.28 \n",
       "  1302.23,1334.67 1303.86,1335.32 1305.49,1335.97 1307.12,1336.49 1308.75,1337.41 1310.38,1337.54 1312.01,1337.54 1313.64,1337.8 1315.26,1338.32 1316.89,1338.58 \n",
       "  1318.52,1338.97 1320.15,1339.62 1321.78,1340.4 1323.41,1340.79 1325.04,1341.05 1326.67,1341.96 1328.3,1342.48 1329.92,1342.48 1331.55,1342.74 1333.18,1342.74 \n",
       "  1334.81,1343 1336.44,1343.26 1338.07,1344.17 1339.7,1345.35 1341.33,1346.26 1342.95,1347.17 1344.58,1347.17 1346.21,1347.95 1347.84,1347.56 1349.47,1347.95 \n",
       "  1351.1,1347.82 1352.73,1347.95 1354.36,1347.56 1355.98,1347.69 1357.61,1348.08 1359.24,1348.6 1360.87,1348.34 1362.5,1348.47 1364.13,1349.38 1365.76,1350.03 \n",
       "  1367.39,1351.59 1369.01,1351.72 1370.64,1351.98 1372.27,1352.11 1373.9,1352.9 1375.53,1353.03 1377.16,1353.29 1378.79,1353.81 1380.42,1353.55 1382.05,1353.68 \n",
       "  1383.67,1353.81 1385.3,1354.46 1386.93,1354.85 1388.56,1354.72 1390.19,1354.72 1391.82,1355.11 1393.45,1355.76 1395.08,1356.28 1396.7,1356.15 1398.33,1355.63 \n",
       "  1399.96,1356.02 1401.59,1356.67 1403.22,1356.54 1404.85,1356.8 1406.48,1357.19 1408.11,1357.45 1409.73,1357.45 1411.36,1357.71 1412.99,1357.45 1414.62,1357.71 \n",
       "  1416.25,1358.23 1417.88,1358.49 1419.51,1358.75 1421.14,1359.79 1422.76,1359.27 1424.39,1359.14 1426.02,1359.92 1427.65,1360.05 1429.28,1360.57 1430.91,1360.57 \n",
       "  1432.54,1361.1 1434.17,1360.97 1435.8,1360.97 1437.42,1361.36 1439.05,1361.88 1440.68,1362.14 1442.31,1362.4 1443.94,1362.27 1445.57,1362.92 1447.2,1362.92 \n",
       "  1448.83,1363.31 1450.45,1362.92 1452.08,1363.18 1453.71,1362.79 1455.34,1362.66 1456.97,1362.79 1458.6,1363.7 1460.23,1363.31 1461.86,1362.79 1463.48,1363.18 \n",
       "  1465.11,1363.18 1466.74,1363.18 1468.37,1363.18 1470,1363.44 1471.63,1363.44 1473.26,1363.83 1474.89,1364.22 1476.52,1364.09 1478.14,1364.35 1479.77,1365.26 \n",
       "  1481.4,1365.52 1483.03,1366.04 1484.66,1366.04 1486.29,1365.91 1487.92,1365.91 1489.55,1365.52 1491.17,1365.39 1492.8,1365.78 1494.43,1365.78 1496.06,1365.91 \n",
       "  1497.69,1366.3 1499.32,1365.78 1500.95,1365.91 1502.58,1366.17 1504.2,1366.04 1505.83,1366.17 1507.46,1366.56 1509.09,1366.56 1510.72,1366.3 1512.35,1366.95 \n",
       "  1513.98,1366.56 1515.61,1366.3 1517.23,1366.69 1518.86,1366.95 1520.49,1366.95 1522.12,1367.34 1523.75,1367.6 1525.38,1367.6 1527.01,1367.47 1528.64,1367.08 \n",
       "  1530.27,1366.82 1531.89,1366.69 1533.52,1366.3 1535.15,1366.3 1536.78,1366.43 1538.41,1366.43 1540.04,1366.3 1541.67,1366.69 1543.3,1366.82 1544.92,1367.34 \n",
       "  1546.55,1367.21 1548.18,1366.95 1549.81,1367.6 1551.44,1367.6 1553.07,1367.73 1554.7,1368.25 1556.33,1369.04 1557.95,1368.91 1559.58,1369.17 1561.21,1369.3 \n",
       "  1562.84,1369.3 1564.47,1369.43 1566.1,1369.43 1567.73,1369.43 1569.36,1369.56 1570.98,1369.56 1572.61,1369.82 1574.24,1369.69 1575.87,1369.82 1577.5,1369.56 \n",
       "  1579.13,1369.56 1580.76,1369.17 1582.39,1369.95 1584.02,1370.21 1585.64,1370.21 1587.27,1370.34 1588.9,1370.47 1590.53,1370.08 1592.16,1370.08 1593.79,1370.34 \n",
       "  1595.42,1370.73 1597.05,1370.73 1598.67,1371.25 1600.3,1371.38 1601.93,1371.25 1603.56,1371.12 1605.19,1371.25 1606.82,1370.86 1608.45,1371.12 1610.08,1371.38 \n",
       "  1611.7,1371.12 1613.33,1371.12 1614.96,1371.38 1616.59,1371.51 1618.22,1371.25 1619.85,1371.38 1621.48,1371.38 1623.11,1371.12 1624.74,1371.25 1626.36,1371.38 \n",
       "  1627.99,1371.51 1629.62,1371.64 1631.25,1371.77 1632.88,1371.64 1634.51,1371.64 1636.14,1371.51 1637.77,1371.25 1639.39,1371.38 1641.02,1371.51 1642.65,1371.12 \n",
       "  1644.28,1371.51 1645.91,1371.51 1647.54,1371.64 1649.17,1371.38 1650.8,1371.51 1652.42,1371.25 1654.05,1371.77 1655.68,1371.77 1657.31,1371.77 1658.94,1372.16 \n",
       "  1660.57,1372.29 1662.2,1372.42 1663.83,1372.16 1665.45,1372.29 1667.08,1372.81 1668.71,1372.68 1670.34,1372.55 1671.97,1372.55 1673.6,1372.55 1675.23,1372.81 \n",
       "  1676.86,1373.46 1678.49,1374.11 1680.11,1374.11 1681.74,1374.63 1683.37,1374.63 1685,1374.89 1686.63,1375.15 1688.26,1375.41 1689.89,1375.15 1691.52,1375.54 \n",
       "  1693.14,1375.8 1694.77,1375.67 1696.4,1375.54 1698.03,1375.67 1699.66,1375.8 1701.29,1375.93 1702.92,1375.93 1704.55,1375.93 1706.17,1375.67 1707.8,1375.67 \n",
       "  1709.43,1375.54 1711.06,1375.28 1712.69,1375.28 1714.32,1375.54 1715.95,1375.54 1717.58,1376.19 1719.2,1376.19 1720.83,1376.19 1722.46,1376.46 1724.09,1376.46 \n",
       "  1725.72,1376.59 1727.35,1377.37 1728.98,1377.37 1730.61,1377.63 1732.24,1377.5 1733.86,1377.5 1735.49,1377.89 1737.12,1377.89 1738.75,1378.54 1740.38,1378.54 \n",
       "  1742.01,1378.41 1743.64,1378.54 1745.27,1378.8 1746.89,1378.67 1748.52,1378.54 1750.15,1378.8 1751.78,1378.93 1753.41,1378.93 1755.04,1379.19 1756.67,1379.19 \n",
       "  1758.3,1379.19 1759.92,1379.32 1761.55,1379.45 1763.18,1379.71 1764.81,1379.45 1766.44,1379.58 1768.07,1379.71 1769.7,1379.84 1771.33,1379.84 1772.96,1379.84 \n",
       "  1774.58,1380.1 1776.21,1380.23 1777.84,1380.23 1779.47,1380.23 1781.1,1380.49 1782.73,1380.62 1784.36,1380.62 1785.99,1380.49 1787.61,1380.23 1789.24,1380.1 \n",
       "  1790.87,1380.1 1792.5,1380.49 1794.13,1380.75 1795.76,1380.88 1797.39,1380.88 1799.02,1380.62 1800.64,1380.49 1802.27,1380.49 1803.9,1380.36 1805.53,1380.49 \n",
       "  1807.16,1380.49 1808.79,1380.49 1810.42,1380.36 1812.05,1380.36 1813.67,1380.36 1815.3,1380.1 1816.93,1380.23 1818.56,1380.23 1820.19,1380.49 1821.82,1380.62 \n",
       "  1823.45,1380.75 1825.08,1380.88 1826.71,1381.14 1828.33,1381.4 1829.96,1381.4 1831.59,1381.4 1833.22,1381.27 1834.85,1381.01 1836.48,1381.14 1838.11,1381.4 \n",
       "  1839.74,1381.27 1841.36,1381.27 1842.99,1381.14 1844.62,1381.14 1846.25,1381.53 1847.88,1381.66 1849.51,1381.53 1851.14,1381.53 1852.77,1381.4 1854.39,1381.4 \n",
       "  1856.02,1381.4 1857.65,1381.27 1859.28,1381.4 1860.91,1381.4 1862.54,1381.53 1864.17,1381.53 1865.8,1381.53 1867.42,1381.14 1869.05,1381.27 1870.68,1381.14 \n",
       "  1872.31,1381.14 1873.94,1381.27 1875.57,1381.01 1877.2,1381.01 1878.83,1381.14 1880.46,1381.27 1882.08,1381.4 1883.71,1381.4 1885.34,1381.4 1886.97,1381.27 \n",
       "  1888.6,1381.27 1890.23,1381.4 1891.86,1381.66 1893.49,1381.79 1895.11,1381.79 1896.74,1381.53 1898.37,1381.53 1900,1381.53 1901.63,1381.66 1903.26,1381.79 \n",
       "  1904.89,1381.79 1906.52,1381.92 1908.14,1381.92 1909.77,1381.92 1911.4,1381.66 1913.03,1381.66 1914.66,1381.79 1916.29,1381.66 1917.92,1381.66 1919.55,1381.79 \n",
       "  1921.18,1381.79 1922.8,1381.66 1924.43,1381.66 1926.06,1381.79 1927.69,1382.05 1929.32,1381.92 1930.95,1382.18 1932.58,1382.18 1934.21,1382.05 1935.83,1382.05 \n",
       "  1937.46,1382.05 1939.09,1382.05 1940.72,1382.05 1942.35,1382.18 1943.98,1382.31 1945.61,1382.18 1947.24,1382.05 1948.86,1382.05 1950.49,1382.05 1952.12,1382.18 \n",
       "  1953.75,1382.44 1955.38,1382.7 1957.01,1382.7 1958.64,1382.7 1960.27,1382.7 1961.89,1382.7 1963.52,1382.7 1965.15,1382.7 1966.78,1382.7 1968.41,1382.7 \n",
       "  1970.04,1382.7 1971.67,1382.83 1973.3,1382.83 1974.93,1382.96 1976.55,1382.96 1978.18,1382.96 1979.81,1382.7 1981.44,1382.7 1983.07,1382.96 1984.7,1382.96 \n",
       "  1986.33,1382.83 1987.96,1382.83 1989.58,1382.96 1991.21,1382.7 1992.84,1382.83 1994.47,1382.7 1996.1,1382.7 1997.73,1382.7 1999.36,1382.96 2000.99,1382.96 \n",
       "  2002.61,1382.96 2004.24,1382.83 2005.87,1382.7 2007.5,1382.7 2009.13,1382.7 2010.76,1382.7 2012.39,1382.7 2014.02,1382.7 2015.64,1382.7 2017.27,1382.96 \n",
       "  2018.9,1383.22 2020.53,1383.09 2022.16,1382.96 2023.79,1382.96 2025.42,1382.96 2027.05,1382.96 2028.68,1383.35 2030.3,1383.61 2031.93,1383.61 2033.56,1383.74 \n",
       "  2035.19,1383.74 2036.82,1383.74 2038.45,1383.61 2040.08,1383.74 2041.71,1383.87 2043.33,1383.74 2044.96,1383.74 2046.59,1384 2048.22,1384.13 2049.85,1384.13 \n",
       "  2051.48,1384.13 2053.11,1384.13 2054.74,1384.13 2056.36,1384 2057.99,1384 2059.62,1384 2061.25,1384.13 2062.88,1384 2064.51,1383.87 2066.14,1383.87 \n",
       "  2067.77,1384 2069.4,1384 2071.02,1384 2072.65,1384 2074.28,1384 2075.91,1384.13 2077.54,1384.13 2079.17,1384.13 2080.8,1384 2082.43,1383.87 \n",
       "  2084.05,1383.87 2085.68,1383.87 2087.31,1383.74 2088.94,1383.61 2090.57,1383.48 2092.2,1383.48 2093.83,1383.48 2095.46,1383.35 2097.08,1383.22 2098.71,1383.35 \n",
       "  2100.34,1383.35 2101.97,1383.35 2103.6,1383.22 2105.23,1383.22 2106.86,1383.22 2108.49,1383.22 2110.11,1383.22 2111.74,1383.09 2113.37,1383.09 2115,1383.22 \n",
       "  2116.63,1383.35 2118.26,1383.22 2119.89,1383.09 2121.52,1382.96 2123.15,1382.83 2124.77,1383.09 2126.4,1382.96 2128.03,1382.96 2129.66,1382.96 2131.29,1382.96 \n",
       "  2132.92,1382.83 2134.55,1382.83 2136.18,1382.83 2137.8,1382.96 2139.43,1382.96 2141.06,1382.96 2142.69,1383.35 2144.32,1383.48 2145.95,1383.35 2147.58,1383.48 \n",
       "  2149.21,1383.48 2150.83,1383.48 2152.46,1383.61 2154.09,1383.61 2155.72,1383.74 2157.35,1383.87 2158.98,1383.87 2160.61,1383.74 2162.24,1383.74 2163.86,1384 \n",
       "  2165.49,1384 2167.12,1384 2168.75,1384.13 2170.38,1384.13 2172.01,1384.13 2173.64,1384.27 2175.27,1384.27 2176.9,1384.27 2178.52,1384.13 2180.15,1384.13 \n",
       "  2181.78,1384.13 2183.41,1384.13 2185.04,1384.27 2186.67,1384.4 2188.3,1384.27 2189.93,1384.27 2191.55,1384.4 2193.18,1384.4 2194.81,1384.4 2196.44,1384.4 \n",
       "  2198.07,1384.27 2199.7,1384.4 2201.33,1384.53 2202.96,1384.53 2204.58,1384.53 2206.21,1384.53 2207.84,1384.4 2209.47,1384.53 2211.1,1384.92 2212.73,1384.79 \n",
       "  2214.36,1384.92 2215.99,1385.05 2217.62,1385.05 2219.24,1385.05 2220.87,1385.05 2222.5,1385.05 2224.13,1385.05 2225.76,1385.18 2227.39,1385.05 2229.02,1385.05 \n",
       "  2230.65,1385.05 2232.27,1385.18 2233.9,1385.18 2235.53,1385.18 2237.16,1385.31 2238.79,1385.31 2240.42,1385.31 2242.05,1385.31 2243.68,1385.31 2245.3,1385.31 \n",
       "  2246.93,1385.44 2248.56,1385.57 2250.19,1385.7 2251.82,1385.7 2253.45,1385.57 2255.08,1385.7 2256.71,1385.57 2258.33,1385.57 2259.96,1385.57 2261.59,1385.57 \n",
       "  2263.22,1385.7 2264.85,1385.7 2266.48,1385.7 2268.11,1385.7 2269.74,1385.7 2271.37,1385.7 2272.99,1385.7 2274.62,1385.7 2276.25,1385.7 2277.88,1385.7 \n",
       "  2279.51,1385.7 2281.14,1385.7 2282.77,1385.7 2284.4,1385.7 2286.02,1385.57 2287.65,1385.44 2289.28,1385.44 2290.91,1385.44 2292.54,1385.44 2294.17,1385.44 \n",
       "  \n",
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       "  357.535,1385.57 359.164,1385.57 360.793,1385.57 362.422,1385.57 364.051,1385.57 365.679,1385.57 367.308,1385.57 368.937,1385.57 370.566,1385.57 372.195,1385.57 \n",
       "  373.823,1385.57 375.452,1385.57 377.081,1385.57 378.71,1385.57 380.339,1385.57 381.967,1385.7 383.596,1385.7 385.225,1385.7 386.854,1385.7 388.483,1385.7 \n",
       "  390.111,1385.7 391.74,1385.7 393.369,1385.83 394.998,1385.83 396.626,1385.83 398.255,1385.83 399.884,1385.83 401.513,1385.83 403.142,1385.83 404.77,1385.83 \n",
       "  406.399,1385.96 408.028,1385.96 409.657,1385.96 411.286,1385.96 412.914,1385.96 414.543,1385.96 416.172,1385.96 417.801,1385.96 419.43,1385.96 421.058,1385.96 \n",
       "  422.687,1385.96 424.316,1385.96 425.945,1385.96 427.573,1385.96 429.202,1385.96 430.831,1385.96 432.46,1385.96 434.089,1385.96 435.717,1385.96 437.346,1385.96 \n",
       "  438.975,1385.96 440.604,1385.96 442.233,1385.96 443.861,1385.96 445.49,1385.96 447.119,1385.96 448.748,1385.96 450.377,1385.96 452.005,1385.96 453.634,1386.09 \n",
       "  455.263,1386.09 456.892,1386.09 458.521,1386.09 460.149,1386.09 461.778,1386.09 463.407,1386.09 465.036,1386.09 466.664,1386.09 468.293,1386.09 469.922,1386.09 \n",
       "  471.551,1386.09 473.18,1386.09 474.808,1386.09 476.437,1386.09 478.066,1386.09 479.695,1386.09 481.324,1386.09 482.952,1386.09 484.581,1386.09 486.21,1386.09 \n",
       "  487.839,1386.09 489.468,1386.09 491.096,1386.09 492.725,1386.09 494.354,1386.09 495.983,1386.09 497.612,1385.96 499.24,1385.83 500.869,1385.83 502.498,1385.83 \n",
       "  504.127,1385.7 505.755,1385.7 507.384,1385.7 509.013,1385.7 510.642,1385.7 512.271,1385.7 513.899,1385.7 515.528,1385.7 517.157,1385.7 518.786,1385.7 \n",
       "  520.415,1385.7 522.043,1385.7 523.672,1385.83 525.301,1385.83 526.93,1385.7 528.559,1385.57 530.187,1385.57 531.816,1385.44 533.445,1385.44 535.074,1385.57 \n",
       "  536.703,1385.57 538.331,1385.57 539.96,1385.57 541.589,1385.57 543.218,1385.44 544.846,1385.31 546.475,1385.31 548.104,1385.31 549.733,1385.31 551.362,1385.31 \n",
       "  552.99,1385.31 554.619,1385.18 556.248,1385.18 557.877,1385.18 559.506,1385.18 561.134,1384.92 562.763,1385.05 564.392,1384.79 566.021,1384.66 567.65,1384.27 \n",
       "  569.278,1384.27 570.907,1384.13 572.536,1384.13 574.165,1384.13 575.793,1384.13 577.422,1383.61 579.051,1383.48 580.68,1383.22 582.309,1382.83 583.937,1382.7 \n",
       "  585.566,1382.31 587.195,1382.18 588.824,1382.18 590.453,1382.05 592.081,1381.53 593.71,1381.4 595.339,1381.14 596.968,1381.14 598.597,1380.88 600.225,1380.62 \n",
       "  601.854,1380.36 603.483,1380.23 605.112,1380.36 606.741,1380.1 608.369,1380.1 609.998,1379.97 611.627,1379.58 613.256,1379.45 614.884,1379.45 616.513,1379.19 \n",
       "  618.142,1378.93 619.771,1378.93 621.4,1378.8 623.028,1378.41 624.657,1377.76 626.286,1377.5 627.915,1377.37 629.544,1377.11 631.172,1376.46 632.801,1375.93 \n",
       "  634.43,1375.54 636.059,1375.28 637.688,1375.15 639.316,1374.76 640.945,1373.98 642.574,1373.98 644.203,1373.85 645.832,1373.59 647.46,1372.55 649.089,1372.55 \n",
       "  650.718,1371.38 652.347,1371.51 653.975,1370.86 655.604,1370.08 657.233,1369.3 658.862,1368.38 660.491,1367.73 662.119,1366.95 663.748,1366.3 665.377,1366.04 \n",
       "  667.006,1365.52 668.635,1365.13 670.263,1364.35 671.892,1363.96 673.521,1363.83 675.15,1363.05 676.779,1362.4 678.407,1362.4 680.036,1361.88 681.665,1361.49 \n",
       "  683.294,1361.23 684.923,1360.05 686.551,1359.4 688.18,1358.49 689.809,1357.58 691.438,1357.32 693.066,1357.06 694.695,1355.76 696.324,1355.11 697.953,1354.46 \n",
       "  699.582,1354.59 701.21,1353.81 702.839,1353.03 704.468,1352.11 706.097,1351.46 707.726,1350.55 709.354,1349.38 710.983,1348.08 712.612,1346.91 714.241,1346.26 \n",
       "  715.87,1346.26 717.498,1345.35 719.127,1344.43 720.756,1343.26 722.385,1341.44 724.014,1341.18 725.642,1340.53 727.271,1339.36 728.9,1338.84 730.529,1337.41 \n",
       "  732.157,1337.15 733.786,1336.88 735.415,1335.58 737.044,1334.02 738.673,1333.24 740.301,1332.33 741.93,1331.03 743.559,1330.25 745.188,1329.07 746.817,1328.03 \n",
       "  748.445,1326.34 750.074,1325.04 751.703,1323.48 753.332,1323.22 754.961,1321.79 756.589,1321.13 758.218,1320.22 759.847,1318.14 761.476,1316.71 763.104,1314.89 \n",
       "  764.733,1313.72 766.362,1312.67 767.991,1311.11 769.62,1309.03 771.248,1307.21 772.877,1305.51 774.506,1303.17 776.135,1301.35 777.764,1300.44 779.392,1298.49 \n",
       "  781.021,1297.44 782.65,1295.36 784.279,1294.45 785.908,1292.76 787.536,1290.29 789.165,1288.33 790.794,1286.77 792.423,1284.56 794.052,1283.39 795.68,1281.82 \n",
       "  797.309,1280.91 798.938,1278.96 800.567,1276.75 802.195,1274.93 803.824,1272.71 805.453,1270.76 807.082,1267.9 808.711,1265.55 810.339,1264.77 811.968,1263.34 \n",
       "  813.597,1259.96 815.226,1258.26 816.855,1256.96 818.483,1254.1 820.112,1252.8 821.741,1251.63 823.37,1249.28 824.999,1246.81 826.627,1244.99 828.256,1244.08 \n",
       "  829.885,1242.64 831.514,1240.04 833.143,1238.48 834.771,1236.66 836.4,1236.01 838.029,1233.14 839.658,1231.19 841.286,1229.5 842.915,1227.55 844.544,1225.98 \n",
       "  846.173,1225.07 847.802,1223.25 849.43,1221.17 851.059,1220.39 852.688,1217.39 854.317,1214.4 855.946,1211.28 857.574,1209.71 859.203,1208.15 860.832,1206.07 \n",
       "  862.461,1204.9 864.09,1202.03 865.718,1199.43 867.347,1198 868.976,1196.18 870.605,1194.87 872.234,1192.4 873.862,1189.67 875.491,1188.24 877.12,1187.06 \n",
       "  878.749,1185.5 880.377,1183.16 882.006,1181.34 883.635,1180.69 885.264,1179.25 886.893,1177.43 888.521,1176.13 890.15,1175.22 891.779,1174.05 893.408,1170.79 \n",
       "  895.037,1168.06 896.665,1166.5 898.294,1164.94 899.923,1163.11 901.552,1161.16 903.181,1158.69 904.809,1156.48 906.438,1152.44 908.067,1151.01 909.696,1148.54 \n",
       "  911.324,1146.71 912.953,1145.8 914.582,1143.85 916.211,1142.42 917.84,1139.68 919.468,1137.47 921.097,1135.52 922.726,1134.22 924.355,1132.66 925.984,1128.62 \n",
       "  927.612,1126.67 929.241,1124.98 930.87,1122.63 932.499,1121.72 934.128,1120.55 935.756,1117.95 937.385,1114.3 939.014,1113.13 940.643,1111.57 942.272,1109.75 \n",
       "  943.9,1108.83 945.529,1107.01 947.158,1104.8 948.787,1102.2 950.415,1101.55 952.044,1099.59 953.673,1098.94 955.302,1099.46 956.931,1098.29 958.559,1097.51 \n",
       "  960.188,1094.91 961.817,1093.35 963.446,1091.65 965.075,1088.79 966.703,1088.27 968.332,1088.14 969.961,1087.36 971.59,1085.93 973.219,1084.62 974.847,1084.1 \n",
       "  976.476,1082.02 978.105,1079.68 979.734,1079.03 981.363,1077.73 982.991,1077.73 984.62,1077.2 986.249,1075.77 987.878,1075.12 989.506,1074.73 991.135,1073.56 \n",
       "  992.764,1072.91 994.393,1071.22 996.022,1070.7 997.65,1069.92 999.279,1068.74 1000.91,1067.57 1002.54,1065.88 1004.17,1065.62 1005.79,1064.71 1007.42,1064.84 \n",
       "  1009.05,1062.76 1010.68,1061.71 1012.31,1061.71 1013.94,1059.89 1015.57,1060.67 1017.2,1059.5 1018.82,1058.72 1020.45,1058.07 1022.08,1058.85 1023.71,1056.77 \n",
       "  1025.34,1056.77 1026.97,1053.38 1028.6,1052.99 1030.23,1053.38 1031.86,1052.73 1033.48,1052.08 1035.11,1050.52 1036.74,1051.95 1038.37,1050.52 1040,1051.17 \n",
       "  1041.63,1051.43 1043.26,1050.52 1044.89,1050.13 1046.51,1049.74 1048.14,1049.61 1049.77,1049.09 1051.4,1048.31 1053.03,1047.14 1054.66,1046.1 1056.29,1046.23 \n",
       "  1057.92,1046.23 1059.54,1047.01 1061.17,1046.75 1062.8,1046.62 1064.43,1045.96 1066.06,1047.66 1067.69,1047.79 1069.32,1048.05 1070.95,1047.79 1072.57,1047.53 \n",
       "  1074.2,1046.23 1075.83,1047.14 1077.46,1046.36 1079.09,1046.36 1080.72,1044.92 1082.35,1045.05 1083.98,1044.79 1085.61,1045.44 1087.23,1046.36 1088.86,1045.83 \n",
       "  1090.49,1045.83 1092.12,1044.79 1093.75,1043.88 1095.38,1043.62 1097.01,1044.4 1098.64,1044.92 1100.26,1044.53 1101.89,1044.4 1103.52,1045.57 1105.15,1044.27 \n",
       "  1106.78,1043.62 1108.41,1042.71 1110.04,1043.36 1111.67,1044.79 1113.29,1046.23 1114.92,1046.23 1116.55,1049.22 1118.18,1048.96 1119.81,1048.44 1121.44,1048.7 \n",
       "  1123.07,1048.44 1124.7,1048.05 1126.32,1047.79 1127.95,1047.27 1129.58,1047.79 1131.21,1048.18 1132.84,1049.35 1134.47,1049.61 1136.1,1050.26 1137.73,1049.09 \n",
       "  1139.36,1050.13 1140.98,1051.82 1142.61,1051.95 1144.24,1051.69 1145.87,1052.21 1147.5,1052.86 1149.13,1053.38 1150.76,1053.91 1152.39,1053.91 1154.01,1054.17 \n",
       "  1155.64,1054.56 1157.27,1055.47 1158.9,1055.47 1160.53,1055.6 1162.16,1056.12 1163.79,1056.25 1165.42,1058.2 1167.04,1058.85 1168.67,1059.37 1170.3,1058.85 \n",
       "  1171.93,1060.02 1173.56,1060.41 1175.19,1061.19 1176.82,1060.93 1178.45,1061.19 1180.08,1061.19 1181.7,1061.58 1183.33,1061.85 1184.96,1063.67 1186.59,1064.97 \n",
       "  1188.22,1065.36 1189.85,1065.49 1191.48,1066.4 1193.11,1067.18 1194.73,1067.18 1196.36,1068.22 1197.99,1068.74 1199.62,1069.66 1201.25,1070.96 1202.88,1071.09 \n",
       "  1204.51,1070.57 1206.14,1072 1207.76,1073.69 1209.39,1074.47 1211.02,1074.6 1212.65,1074.99 1214.28,1076.94 1215.91,1077.33 1217.54,1078.25 1219.17,1079.29 \n",
       "  1220.79,1081.11 1222.42,1082.28 1224.05,1083.58 1225.68,1083.32 1227.31,1084.23 1228.94,1084.62 1230.57,1085.93 1232.2,1086.45 1233.83,1087.49 1235.45,1089.05 \n",
       "  1237.08,1089.96 1238.71,1090.35 1240.34,1090.74 1241.97,1091.52 1243.6,1092.69 1245.23,1092.95 1246.86,1094.26 1248.48,1095.17 1250.11,1096.47 1251.74,1096.34 \n",
       "  1253.37,1098.42 1255,1099.46 1256.63,1100.37 1258.26,1101.29 1259.89,1102.59 1261.51,1103.76 1263.14,1104.28 1264.77,1104.8 1266.4,1104.8 1268.03,1106.49 \n",
       "  1269.66,1107.92 1271.29,1108.83 1272.92,1109.62 1274.54,1110.53 1276.17,1110.66 1277.8,1111.57 1279.43,1112.87 1281.06,1113.13 1282.69,1113.26 1284.32,1114.43 \n",
       "  1285.95,1114.43 1287.58,1115.21 1289.2,1116.38 1290.83,1117.56 1292.46,1118.99 1294.09,1119.77 1295.72,1121.59 1297.35,1123.02 1298.98,1124.85 1300.61,1125.63 \n",
       "  1302.23,1126.93 1303.86,1126.93 1305.49,1127.06 1307.12,1127.32 1308.75,1126.8 1310.38,1127.84 1312.01,1128.49 1313.64,1129.27 1315.26,1129.14 1316.89,1130.7 \n",
       "  1318.52,1130.96 1320.15,1130.96 1321.78,1132.66 1323.41,1133.83 1325.04,1134.48 1326.67,1135.65 1328.3,1136.43 1329.92,1137.86 1331.55,1139.55 1333.18,1140.2 \n",
       "  1334.81,1140.99 1336.44,1141.9 1338.07,1142.16 1339.7,1142.16 1341.33,1142.68 1342.95,1142.55 1344.58,1143.2 1346.21,1143.72 1347.84,1144.76 1349.47,1145.28 \n",
       "  1351.1,1146.06 1352.73,1147.1 1354.36,1147.75 1355.98,1148.54 1357.61,1148.93 1359.24,1149.19 1360.87,1150.1 1362.5,1150.88 1364.13,1150.75 1365.76,1150.88 \n",
       "  1367.39,1151.01 1369.01,1152.18 1370.64,1153.22 1372.27,1153.74 1373.9,1153.87 1375.53,1154.91 1377.16,1156.22 1378.79,1157.39 1380.42,1158.17 1382.05,1159.21 \n",
       "  1383.67,1159.6 1385.3,1160.25 1386.93,1161.16 1388.56,1161.81 1390.19,1162.85 1391.82,1162.98 1393.45,1164.81 1395.08,1165.98 1396.7,1168.45 1398.33,1169.88 \n",
       "  1399.96,1170.79 1401.59,1171.05 1403.22,1171.97 1404.85,1173.4 1406.48,1174.57 1408.11,1175.87 1409.73,1176.13 1411.36,1177.56 1412.99,1178.34 1414.62,1178.73 \n",
       "  1416.25,1178.99 1417.88,1180.17 1419.51,1181.21 1421.14,1181.73 1422.76,1183.29 1424.39,1183.55 1426.02,1183.81 1427.65,1184.98 1429.28,1184.85 1430.91,1186.41 \n",
       "  1432.54,1187.19 1434.17,1188.24 1435.8,1189.02 1437.42,1189.54 1439.05,1190.19 1440.68,1190.97 1442.31,1191.49 1443.94,1193.44 1445.57,1193.96 1447.2,1195.26 \n",
       "  1448.83,1196.44 1450.45,1198.26 1452.08,1199.69 1453.71,1200.47 1455.34,1201.12 1456.97,1201.77 1458.6,1201.77 1460.23,1203.47 1461.86,1204.25 1463.48,1204.51 \n",
       "  1465.11,1205.42 1466.74,1205.81 1468.37,1208.15 1470,1209.06 1471.63,1210.23 1473.26,1210.75 1474.89,1211.14 1476.52,1211.67 1478.14,1212.19 1479.77,1212.84 \n",
       "  1481.4,1213.75 1483.03,1214.14 1484.66,1214.92 1486.29,1216.74 1487.92,1217.39 1489.55,1218.04 1491.17,1218.82 1492.8,1219.09 1494.43,1219.74 1496.06,1220.52 \n",
       "  1497.69,1221.43 1499.32,1222.99 1500.95,1223.38 1502.58,1223.9 1504.2,1224.55 1505.83,1225.33 1507.46,1226.11 1509.09,1226.37 1510.72,1228.07 1512.35,1228.2 \n",
       "  1513.98,1229.63 1515.61,1230.54 1517.23,1231.19 1518.86,1231.84 1520.49,1232.49 1522.12,1233.01 1523.75,1234.18 1525.38,1234.7 1527.01,1236.01 1528.64,1237.18 \n",
       "  1530.27,1237.44 1531.89,1238.09 1533.52,1238.35 1535.15,1239 1536.78,1239.13 1538.41,1240.43 1540.04,1241.34 1541.67,1241.6 1543.3,1242.38 1544.92,1243.3 \n",
       "  1546.55,1244.21 1548.18,1244.08 1549.81,1244.47 1551.44,1245.25 1553.07,1245.9 1554.7,1246.03 1556.33,1246.42 1557.95,1247.33 1559.58,1247.59 1561.21,1248.24 \n",
       "  1562.84,1248.5 1564.47,1248.76 1566.1,1249.15 1567.73,1249.8 1569.36,1250.19 1570.98,1251.11 1572.61,1251.24 1574.24,1252.02 1575.87,1253.19 1577.5,1253.84 \n",
       "  1579.13,1254.49 1580.76,1254.88 1582.39,1254.62 1584.02,1255.01 1585.64,1255.53 1587.27,1255.79 1588.9,1256.57 1590.53,1257.35 1592.16,1257.48 1593.79,1257.74 \n",
       "  1595.42,1258.13 1597.05,1258.26 1598.67,1257.87 1600.3,1258.4 1601.93,1259.57 1603.56,1259.96 1605.19,1260.22 1606.82,1260.87 1608.45,1261.52 1610.08,1262.3 \n",
       "  1611.7,1262.69 1613.33,1263.6 1614.96,1263.73 1616.59,1264.25 1618.22,1265.29 1619.85,1265.94 1621.48,1266.6 1623.11,1267.38 1624.74,1267.77 1626.36,1268.03 \n",
       "  1627.99,1268.55 1629.62,1269.2 1631.25,1269.85 1632.88,1270.24 1634.51,1270.63 1636.14,1271.28 1637.77,1272.32 1639.39,1272.19 1641.02,1272.45 1642.65,1272.97 \n",
       "  1644.28,1273.23 1645.91,1273.62 1647.54,1273.75 1649.17,1274.01 1650.8,1274.41 1652.42,1274.8 1654.05,1274.93 1655.68,1275.84 1657.31,1276.75 1658.94,1277.27 \n",
       "  1660.57,1277.4 1662.2,1278.31 1663.83,1278.83 1665.45,1278.83 1667.08,1278.7 1668.71,1279.22 1670.34,1279.74 1671.97,1280.26 1673.6,1280.39 1675.23,1280.39 \n",
       "  1676.86,1279.87 1678.49,1279.74 1680.11,1280 1681.74,1279.87 1683.37,1280 1685,1280.26 1686.63,1280.65 1688.26,1280.78 1689.89,1281.69 1691.52,1281.82 \n",
       "  1693.14,1282.35 1694.77,1282.61 1696.4,1283.39 1698.03,1283.65 1699.66,1283.91 1701.29,1284.95 1702.92,1285.34 1704.55,1286.51 1706.17,1286.9 1707.8,1287.16 \n",
       "  1709.43,1287.55 1711.06,1287.81 1712.69,1288.46 1714.32,1289.37 1715.95,1289.9 1717.58,1289.76 1719.2,1290.55 1720.83,1291.07 1722.46,1291.33 1724.09,1291.72 \n",
       "  1725.72,1292.24 1727.35,1291.72 1728.98,1292.5 1730.61,1292.76 1732.24,1293.41 1733.86,1293.8 1735.49,1293.67 1737.12,1294.71 1738.75,1295.1 1740.38,1295.1 \n",
       "  1742.01,1295.88 1743.64,1296.01 1745.27,1296.79 1746.89,1296.92 1748.52,1297.7 1750.15,1297.97 1751.78,1298.62 1753.41,1299.27 1755.04,1300.18 1756.67,1300.05 \n",
       "  1758.3,1301.09 1759.92,1301.35 1761.55,1301.35 1763.18,1301.09 1764.81,1301.61 1766.44,1301.87 1768.07,1302.13 1769.7,1302.78 1771.33,1303.43 1772.96,1304.08 \n",
       "  1774.58,1303.82 1776.21,1303.95 1777.84,1304.73 1779.47,1305.12 1781.1,1305.38 1782.73,1305.51 1784.36,1306.04 1785.99,1306.17 1787.61,1306.43 1789.24,1306.82 \n",
       "  1790.87,1307.47 1792.5,1307.73 1794.13,1307.99 1795.76,1308.38 1797.39,1308.9 1799.02,1309.16 1800.64,1309.81 1802.27,1309.81 1803.9,1310.59 1805.53,1310.85 \n",
       "  1807.16,1310.98 1808.79,1311.24 1810.42,1311.89 1812.05,1312.8 1813.67,1313.06 1815.3,1313.32 1816.93,1313.32 1818.56,1313.19 1820.19,1313.59 1821.82,1314.24 \n",
       "  1823.45,1314.89 1825.08,1315.02 1826.71,1315.02 1828.33,1315.15 1829.96,1315.67 1831.59,1316.06 1833.22,1316.58 1834.85,1317.1 1836.48,1317.36 1838.11,1317.62 \n",
       "  1839.74,1318.27 1841.36,1318.79 1842.99,1319.18 1844.62,1319.44 1846.25,1319.7 1847.88,1319.7 1849.51,1320.09 1851.14,1320.09 1852.77,1320.22 1854.39,1320.48 \n",
       "  1856.02,1321 1857.65,1321.13 1859.28,1321 1860.91,1321.4 1862.54,1321.79 1864.17,1322.05 1865.8,1322.57 1867.42,1323.09 1869.05,1323.22 1870.68,1323.48 \n",
       "  1872.31,1323.87 1873.94,1323.87 1875.57,1324.52 1877.2,1324.91 1878.83,1325.56 1880.46,1325.82 1882.08,1326.47 1883.71,1327.25 1885.34,1328.03 1886.97,1328.29 \n",
       "  1888.6,1328.42 1890.23,1328.55 1891.86,1329.21 1893.49,1329.73 1895.11,1330.12 1896.74,1330.12 1898.37,1330.38 1900,1330.51 1901.63,1330.38 1903.26,1330.25 \n",
       "  1904.89,1330.51 1906.52,1331.55 1908.14,1331.68 1909.77,1331.81 1911.4,1332.2 1913.03,1332.46 1914.66,1333.11 1916.29,1333.24 1917.92,1333.37 1919.55,1334.15 \n",
       "  1921.18,1334.41 1922.8,1334.41 1924.43,1334.41 1926.06,1334.41 1927.69,1334.54 1929.32,1334.67 1930.95,1334.41 1932.58,1334.8 1934.21,1334.93 1935.83,1335.32 \n",
       "  1937.46,1335.32 1939.09,1336.1 1940.72,1336.23 1942.35,1336.1 1943.98,1336.1 1945.61,1336.75 1947.24,1337.28 1948.86,1337.28 1950.49,1337.67 1952.12,1337.8 \n",
       "  1953.75,1337.67 1955.38,1337.54 1957.01,1337.67 1958.64,1338.06 1960.27,1338.19 1961.89,1338.58 1963.52,1338.97 1965.15,1339.36 1966.78,1339.62 1968.41,1340.14 \n",
       "  1970.04,1340.14 1971.67,1340.4 1973.3,1340.79 1974.93,1341.05 1976.55,1341.31 1978.18,1341.57 1979.81,1341.57 1981.44,1341.44 1983.07,1341.57 1984.7,1341.57 \n",
       "  1986.33,1341.83 1987.96,1341.96 1989.58,1342.48 1991.21,1342.87 1992.84,1342.87 1994.47,1343.13 1996.1,1343.26 1997.73,1343.52 1999.36,1343.26 2000.99,1343.39 \n",
       "  2002.61,1343.78 2004.24,1344.04 2005.87,1344.3 2007.5,1344.43 2009.13,1344.56 2010.76,1345.09 2012.39,1345.48 2014.02,1345.87 2015.64,1346.13 2017.27,1346 \n",
       "  2018.9,1345.87 2020.53,1345.87 2022.16,1346.13 2023.79,1346.65 2025.42,1346.78 2027.05,1347.3 2028.68,1346.91 2030.3,1346.78 2031.93,1347.04 2033.56,1347.04 \n",
       "  2035.19,1347.43 2036.82,1347.56 2038.45,1347.82 2040.08,1348.08 2041.71,1348.34 2043.33,1348.34 2044.96,1348.6 2046.59,1348.6 2048.22,1348.99 2049.85,1349.38 \n",
       "  2051.48,1349.77 2053.11,1350.29 2054.74,1350.81 2056.36,1351.46 2057.99,1351.85 2059.62,1352.11 2061.25,1352.11 2062.88,1352.37 2064.51,1352.76 2066.14,1353.55 \n",
       "  2067.77,1353.94 2069.4,1354.33 2071.02,1354.59 2072.65,1354.98 2074.28,1355.11 2075.91,1355.11 2077.54,1355.5 2079.17,1355.76 2080.8,1356.15 2082.43,1356.28 \n",
       "  2084.05,1356.41 2085.68,1356.54 2087.31,1357.06 2088.94,1357.32 2090.57,1357.45 2092.2,1357.58 2093.83,1357.84 2095.46,1357.97 2097.08,1358.1 2098.71,1358.36 \n",
       "  2100.34,1358.36 2101.97,1358.49 2103.6,1358.49 2105.23,1358.49 2106.86,1358.49 2108.49,1358.62 2110.11,1358.88 2111.74,1359.14 2113.37,1359.14 2115,1359.14 \n",
       "  2116.63,1359.01 2118.26,1359.14 2119.89,1359.53 2121.52,1359.53 2123.15,1359.92 2124.77,1359.92 2126.4,1359.92 2128.03,1360.05 2129.66,1360.31 2131.29,1360.44 \n",
       "  2132.92,1360.57 2134.55,1360.71 2136.18,1360.71 2137.8,1360.97 2139.43,1361.23 2141.06,1361.75 2142.69,1361.49 2144.32,1361.36 2145.95,1361.62 2147.58,1361.75 \n",
       "  2149.21,1361.75 2150.83,1361.88 2152.46,1361.88 2154.09,1362.01 2155.72,1361.88 2157.35,1361.88 2158.98,1362.27 2160.61,1362.4 2162.24,1362.4 2163.86,1362.14 \n",
       "  2165.49,1362.27 2167.12,1362.4 2168.75,1362.4 2170.38,1362.4 2172.01,1362.53 2173.64,1362.53 2175.27,1363.05 2176.9,1363.31 2178.52,1363.44 2180.15,1363.7 \n",
       "  2181.78,1363.7 2183.41,1363.57 2185.04,1363.44 2186.67,1363.44 2188.3,1363.44 2189.93,1363.83 2191.55,1363.83 2193.18,1363.96 2194.81,1364.22 2196.44,1364.22 \n",
       "  2198.07,1364.48 2199.7,1364.61 2201.33,1364.74 2202.96,1364.87 2204.58,1365.26 2206.21,1365.39 2207.84,1365.52 2209.47,1365.65 2211.1,1365.52 2212.73,1365.65 \n",
       "  2214.36,1365.52 2215.99,1365.52 2217.62,1365.52 2219.24,1365.78 2220.87,1365.91 2222.5,1366.3 2224.13,1366.56 2225.76,1366.56 2227.39,1366.56 2229.02,1366.56 \n",
       "  2230.65,1366.69 2232.27,1366.69 2233.9,1366.95 2235.53,1367.21 2237.16,1367.34 2238.79,1367.6 2240.42,1367.73 2242.05,1367.86 2243.68,1367.99 2245.3,1367.99 \n",
       "  2246.93,1368.25 2248.56,1368.52 2250.19,1368.52 2251.82,1368.65 2253.45,1368.78 2255.08,1368.65 2256.71,1368.65 2258.33,1368.91 2259.96,1368.91 2261.59,1368.91 \n",
       "  2263.22,1368.91 2264.85,1368.91 2266.48,1369.04 2268.11,1369.3 2269.74,1369.3 2271.37,1369.3 2272.99,1369.56 2274.62,1369.56 2276.25,1369.69 2277.88,1369.69 \n",
       "  2279.51,1369.69 2281.14,1369.82 2282.77,1369.82 2284.4,1369.95 2286.02,1370.08 2287.65,1370.08 2289.28,1370.08 2290.91,1370.21 2292.54,1370.21 2294.17,1370.34 \n",
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       "  357.535,1386.35 359.164,1386.35 360.793,1386.35 362.422,1386.35 364.051,1386.35 365.679,1386.35 367.308,1386.35 368.937,1386.35 370.566,1386.35 372.195,1386.35 \n",
       "  373.823,1386.35 375.452,1386.35 377.081,1386.35 378.71,1386.35 380.339,1386.35 381.967,1386.22 383.596,1386.22 385.225,1386.22 386.854,1386.22 388.483,1386.22 \n",
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       "  422.687,1385.96 424.316,1385.96 425.945,1385.96 427.573,1385.96 429.202,1385.96 430.831,1385.96 432.46,1385.96 434.089,1385.96 435.717,1385.96 437.346,1385.96 \n",
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       "  1188.22,919.835 1189.85,918.403 1191.48,916.58 1193.11,914.368 1194.73,913.066 1196.36,910.332 1197.99,908.12 1199.62,905.516 1201.25,902.783 1202.88,900.961 \n",
       "  1204.51,899.659 1206.14,896.795 1207.76,894.062 1209.39,891.849 1211.02,890.027 1212.65,887.944 1214.28,884.82 1215.91,882.607 1217.54,880.915 1219.17,878.832 \n",
       "  1220.79,875.578 1222.42,873.496 1224.05,871.153 1225.68,869.981 1227.31,868.159 1228.94,866.467 1230.57,864.384 1232.2,861.781 1233.83,859.308 1235.45,856.574 \n",
       "  1237.08,854.752 1238.71,853.58 1240.34,851.758 1241.97,849.806 1243.6,847.853 1245.23,846.161 1246.86,843.558 1248.48,842.256 1250.11,840.043 1251.74,838.481 \n",
       "  1253.37,835.487 1255,833.014 1256.63,831.452 1258.26,829.239 1259.89,826.766 1261.51,824.553 1263.14,822.601 1264.77,820.648 1266.4,819.347 1268.03,816.874 \n",
       "  1269.66,814.4 1271.29,812.318 1272.92,811.016 1274.54,808.934 1276.17,806.981 1277.8,805.159 1279.43,803.076 1281.06,801.254 1282.69,800.082 1284.32,798.52 \n",
       "  1285.95,797.219 1287.58,794.745 1289.2,792.533 1290.83,790.45 1292.46,788.107 1294.09,786.285 1295.72,784.202 1297.35,781.989 1298.98,779.386 1300.61,777.433 \n",
       "  1302.23,775.481 1303.86,774.179 1305.49,773.138 1307.12,772.227 1308.75,771.316 1310.38,769.363 1312.01,767.541 1313.64,765.458 1315.26,764.287 1316.89,762.204 \n",
       "  1318.52,760.772 1320.15,759.601 1321.78,756.737 1323.41,754.915 1325.04,753.613 1326.67,751.27 1328.3,749.708 1329.92,747.235 1331.55,744.632 1333.18,743.33 \n",
       "  1334.81,741.768 1336.44,739.816 1338.07,738.514 1339.7,736.952 1341.33,735.26 1342.95,733.958 1344.58,732.787 1346.21,731.095 1347.84,729.533 1349.47,728.101 \n",
       "  1351.1,726.669 1352.73,724.977 1354.36,723.675 1355.98,722.243 1357.61,720.811 1359.24,719.77 1360.87,718.078 1362.5,716.776 1364.13,715.735 1365.76,714.954 \n",
       "  1367.39,713.132 1369.01,711.179 1370.64,709.747 1372.27,708.446 1373.9,707.274 1375.53,705.452 1377.16,703.499 1378.79,701.547 1380.42,700.245 1382.05,698.683 \n",
       "  1383.67,697.772 1385.3,696.21 1386.93,694.778 1388.56,693.867 1390.19,692.566 1391.82,691.524 1393.45,689.051 1395.08,686.968 1396.7,684.105 1398.33,682.543 \n",
       "  1399.96,680.721 1401.59,679.289 1403.22,678.117 1404.85,676.295 1406.48,674.342 1408.11,672.65 1409.73,671.869 1411.36,670.047 1412.99,669.006 1414.62,667.964 \n",
       "  1416.25,667.053 1417.88,665.361 1419.51,663.929 1421.14,662.367 1422.76,660.545 1424.39,659.894 1426.02,658.723 1427.65,657.03 1429.28,655.989 1430.91,653.906 \n",
       "  1432.54,652.605 1434.17,651.433 1435.8,650.262 1437.42,649.22 1439.05,647.789 1440.68,646.357 1442.31,645.446 1443.94,643.493 1445.57,642.192 1447.2,640.63 \n",
       "  1448.83,639.068 1450.45,637.115 1452.08,635.032 1453.71,634.121 1455.34,633.34 1456.97,632.429 1458.6,631.258 1460.23,629.565 1461.86,628.654 1463.48,627.743 \n",
       "  1465.11,626.311 1466.74,625.53 1468.37,623.057 1470,621.756 1471.63,620.194 1473.26,618.892 1474.89,617.981 1476.52,617.07 1478.14,616.289 1479.77,614.727 \n",
       "  1481.4,613.425 1483.03,612.514 1484.66,611.603 1486.29,609.65 1487.92,608.869 1489.55,608.218 1491.17,607.307 1492.8,606.656 1494.43,605.615 1496.06,604.704 \n",
       "  1497.69,603.272 1499.32,601.45 1500.95,600.539 1502.58,599.497 1504.2,598.586 1505.83,597.545 1507.46,596.373 1509.09,595.853 1510.72,594.16 1512.35,593.119 \n",
       "  1513.98,591.427 1515.61,590.516 1517.23,589.475 1518.86,588.433 1520.49,587.652 1522.12,586.741 1523.75,585.179 1525.38,584.398 1527.01,582.966 1528.64,581.665 \n",
       "  1530.27,581.274 1531.89,580.493 1533.52,580.103 1535.15,579.322 1536.78,578.801 1538.41,577.239 1540.04,576.198 1541.67,575.417 1543.3,574.375 1544.92,572.813 \n",
       "  1546.55,571.902 1548.18,571.512 1549.81,570.47 1551.44,569.559 1553.07,568.518 1554.7,567.867 1556.33,566.696 1557.95,565.524 1559.58,564.743 1561.21,563.962 \n",
       "  1562.84,563.311 1564.47,562.791 1566.1,562.01 1567.73,561.098 1569.36,560.448 1570.98,559.406 1572.61,558.886 1574.24,557.974 1575.87,556.673 1577.5,556.022 \n",
       "  1579.13,555.111 1580.76,554.59 1582.39,554.069 1584.02,553.289 1585.64,552.508 1587.27,551.987 1588.9,550.946 1590.53,550.034 1592.16,549.384 1593.79,548.863 \n",
       "  1595.42,548.082 1597.05,547.691 1598.67,547.431 1600.3,546.52 1601.93,545.348 1603.56,544.958 1605.19,544.437 1606.82,543.786 1608.45,542.745 1610.08,541.704 \n",
       "  1611.7,541.313 1613.33,540.272 1614.96,539.751 1616.59,538.97 1618.22,537.799 1619.85,537.018 1621.48,536.107 1623.11,535.065 1624.74,534.284 1626.36,533.894 \n",
       "  1627.99,533.113 1629.62,532.202 1631.25,531.291 1632.88,530.77 1634.51,530.119 1636.14,529.468 1637.77,528.167 1639.39,527.906 1641.02,527.255 1642.65,526.605 \n",
       "  1644.28,525.824 1645.91,525.173 1647.54,524.652 1649.17,524.131 1650.8,523.481 1652.42,522.96 1654.05,522.179 1655.68,521.138 1657.31,520.226 1658.94,519.315 \n",
       "  1660.57,519.055 1662.2,518.014 1663.83,517.363 1665.45,516.972 1667.08,516.582 1668.71,515.801 1670.34,515.02 1671.97,514.369 1673.6,513.979 1675.23,513.718 \n",
       "  1676.86,513.458 1678.49,512.937 1680.11,512.547 1681.74,512.156 1683.37,511.896 1685,511.245 1686.63,510.464 1688.26,509.813 1689.89,508.772 1691.52,508.121 \n",
       "  1693.14,507.21 1694.77,506.819 1696.4,506.038 1698.03,505.648 1699.66,505.257 1701.29,504.086 1702.92,503.435 1704.55,502.264 1706.17,501.613 1707.8,501.352 \n",
       "  1709.43,500.702 1711.06,500.311 1712.69,499.53 1714.32,498.359 1715.95,497.578 1717.58,497.057 1719.2,496.276 1720.83,495.755 1722.46,495.105 1724.09,494.584 \n",
       "  1725.72,493.543 1727.35,493.282 1728.98,492.501 1730.61,491.981 1732.24,491.33 1733.86,490.809 1735.49,490.549 1737.12,489.507 1738.75,488.466 1740.38,488.336 \n",
       "  1742.01,487.555 1743.64,487.295 1745.27,486.253 1746.89,485.993 1748.52,485.212 1750.15,484.691 1751.78,483.91 1753.41,483.259 1755.04,482.088 1756.67,481.958 \n",
       "  1758.3,480.786 1759.92,480.266 1761.55,480.135 1763.18,480.005 1764.81,479.485 1766.44,478.964 1768.07,478.574 1769.7,477.793 1771.33,477.142 1772.96,476.491 \n",
       "  1774.58,476.491 1776.21,476.231 1777.84,475.45 1779.47,474.929 1781.1,474.408 1782.73,474.018 1784.36,473.497 1785.99,473.367 1787.61,473.107 1789.24,472.586 \n",
       "  1790.87,471.935 1792.5,471.284 1794.13,470.764 1795.76,470.243 1797.39,469.722 1799.02,469.462 1800.64,468.811 1802.27,468.551 1803.9,467.64 1805.53,467.249 \n",
       "  1807.16,466.989 1808.79,466.728 1810.42,466.078 1812.05,465.166 1813.67,464.776 1815.3,464.516 1816.93,464.385 1818.56,464.255 1820.19,463.604 1821.82,462.823 \n",
       "  1823.45,461.912 1825.08,461.652 1826.71,461.392 1828.33,461.001 1829.96,460.481 1831.59,460.09 1833.22,459.569 1834.85,459.049 1836.48,458.658 1838.11,458.138 \n",
       "  1839.74,457.487 1841.36,456.966 1842.99,456.576 1844.62,456.315 1846.25,455.664 1847.88,455.534 1849.51,455.144 1851.14,455.144 1852.77,454.883 1854.39,454.493 \n",
       "  1856.02,453.972 1857.65,453.712 1859.28,453.582 1860.91,453.191 1862.54,452.671 1864.17,452.41 1865.8,451.759 1867.42,451.239 1869.05,450.978 1870.68,450.588 \n",
       "  1872.31,450.197 1873.94,450.067 1875.57,449.416 1877.2,449.026 1878.83,448.245 1880.46,447.724 1882.08,446.943 1883.71,446.162 1885.34,445.381 1886.97,444.991 \n",
       "  1888.6,444.861 1890.23,444.6 1891.86,443.689 1893.49,443.038 1895.11,442.648 1896.74,442.648 1898.37,442.387 1900,442.127 1901.63,442.127 1903.26,442.127 \n",
       "  1904.89,441.867 1906.52,440.565 1908.14,440.305 1909.77,440.175 1911.4,439.784 1913.03,439.524 1914.66,438.743 1916.29,438.613 1917.92,438.352 1919.55,437.441 \n",
       "  1921.18,437.181 1922.8,437.181 1924.43,437.181 1926.06,437.051 1927.69,436.66 1929.32,436.53 1930.95,436.4 1932.58,436.009 1934.21,435.879 1935.83,435.489 \n",
       "  1937.46,435.359 1939.09,434.578 1940.72,434.447 1942.35,434.447 1943.98,434.317 1945.61,433.666 1947.24,433.146 1948.86,433.016 1950.49,432.625 1952.12,432.365 \n",
       "  1953.75,432.235 1955.38,432.104 1957.01,431.974 1958.64,431.584 1960.27,431.454 1961.89,431.063 1963.52,430.673 1965.15,430.282 1966.78,430.022 1968.41,429.501 \n",
       "  1970.04,429.501 1971.67,429.111 1973.3,428.72 1974.93,428.33 1976.55,428.069 1978.18,427.809 1979.81,427.809 1981.44,427.809 1983.07,427.418 1984.7,427.418 \n",
       "  1986.33,427.158 1987.96,427.028 1989.58,426.377 1991.21,425.987 1992.84,425.856 1994.47,425.596 1996.1,425.466 1997.73,425.206 1999.36,425.206 2000.99,425.075 \n",
       "  2002.61,424.425 2004.24,424.164 2005.87,423.904 2007.5,423.774 2009.13,423.644 2010.76,423.123 2012.39,422.733 2014.02,422.342 2015.64,421.952 2017.27,421.821 \n",
       "  2018.9,421.691 2020.53,421.691 2022.16,421.431 2023.79,420.91 2025.42,420.78 2027.05,420.259 2028.68,420.129 2030.3,419.999 2031.93,419.739 2033.56,419.609 \n",
       "  2035.19,419.218 2036.82,419.088 2038.45,418.828 2040.08,418.437 2041.71,418.047 2043.33,418.047 2044.96,417.786 2046.59,417.526 2048.22,417.005 2049.85,416.615 \n",
       "  2051.48,416.094 2053.11,415.573 2054.74,415.053 2056.36,414.272 2057.99,413.881 2059.62,413.621 2061.25,413.491 2062.88,413.23 2064.51,412.84 2066.14,412.059 \n",
       "  2067.77,411.538 2069.4,411.148 2071.02,410.887 2072.65,410.497 2074.28,410.367 2075.91,410.237 2077.54,409.846 2079.17,409.586 2080.8,409.195 2082.43,409.065 \n",
       "  2084.05,408.935 2085.68,408.805 2087.31,408.284 2088.94,408.024 2090.57,407.894 2092.2,407.763 2093.83,407.503 2095.46,407.373 2097.08,407.243 2098.71,406.852 \n",
       "  2100.34,406.852 2101.97,406.722 2103.6,406.722 2105.23,406.722 2106.86,406.722 2108.49,406.592 2110.11,406.332 2111.74,406.071 2113.37,406.071 2115,405.941 \n",
       "  2116.63,405.941 2118.26,405.811 2119.89,405.42 2121.52,405.42 2123.15,405.03 2124.77,404.77 2126.4,404.77 2128.03,404.64 2129.66,404.379 2131.29,404.249 \n",
       "  2132.92,404.119 2134.55,403.989 2136.18,403.989 2137.8,403.598 2139.43,403.338 2141.06,402.817 2142.69,402.687 2144.32,402.687 2145.95,402.427 2147.58,402.166 \n",
       "  2149.21,402.166 2150.83,402.036 2152.46,401.906 2154.09,401.776 2155.72,401.776 2157.35,401.646 2158.98,401.255 2160.61,401.125 2162.24,401.125 2163.86,401.125 \n",
       "  2165.49,400.995 2167.12,400.865 2168.75,400.735 2170.38,400.735 2172.01,400.604 2173.64,400.474 2175.27,399.954 2176.9,399.693 2178.52,399.563 2180.15,399.303 \n",
       "  2181.78,399.303 2183.41,399.303 2185.04,399.303 2186.67,399.173 2188.3,399.173 2189.93,398.782 2191.55,398.652 2193.18,398.392 2194.81,398.131 2196.44,398.131 \n",
       "  2198.07,397.871 2199.7,397.611 2201.33,397.35 2202.96,397.22 2204.58,396.83 2206.21,396.699 2207.84,396.569 2209.47,396.309 2211.1,396.049 2212.73,395.918 \n",
       "  2214.36,395.918 2215.99,395.788 2217.62,395.788 2219.24,395.528 2220.87,395.398 2222.5,395.007 2224.13,394.747 2225.76,394.617 2227.39,394.617 2229.02,394.617 \n",
       "  2230.65,394.487 2232.27,394.356 2233.9,394.096 2235.53,393.836 2237.16,393.575 2238.79,393.315 2240.42,393.185 2242.05,393.055 2243.68,392.925 2245.3,392.925 \n",
       "  2246.93,392.534 2248.56,392.144 2250.19,392.013 2251.82,391.883 2253.45,391.753 2255.08,391.753 2256.71,391.753 2258.33,391.493 2259.96,391.493 2261.59,391.493 \n",
       "  2263.22,391.363 2264.85,391.363 2266.48,391.232 2268.11,390.972 2269.74,390.972 2271.37,390.972 2272.99,390.712 2274.62,390.712 2276.25,390.582 2277.88,390.582 \n",
       "  2279.51,390.582 2281.14,390.451 2282.77,390.451 2284.4,390.321 2286.02,390.191 2287.65,390.191 2289.28,390.191 2290.91,390.061 2292.54,390.061 2294.17,389.931 \n",
       "  \n",
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       "</svg>\n"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(susceptible, label=\"Susceptible\")\n",
    "plot!(exposed, label=\"Exposed\")\n",
    "plot!(infectious, label=\"Infectious\")\n",
    "plot!(recovered, label=\"Recovered\",xlabel=\"Epoch\",ylabel=\"Number\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### get PRC and ROC curves for simulation at the point it was stopped\n",
    "(eg, if you want it at 300 epochs, you need to stop the simulation at 300 epochs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To re-start from zero, execute starting from `make_structures`, to reset all fields. We run up until epoch 250 to plot PRC and AUC for the probability calculation at an early stage of the epidemic."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "contactlist,probabilities,probabilities_naive, infected = make_structures(NNodes, true);\n",
    "for n in 1:10\n",
    "    m = rand(1:NNodes)\n",
    "    if length(probabilities)>0\n",
    "        probabilities[m] = 1.0\n",
    "    end\n",
    "    probabilities_naive[m] = 1.0\n",
    "    infected[m]=1;\n",
    "end\n",
    "epoch = 1\n",
    "for n = 1:250\n",
    "    epoch = sweep(links,contactlist, probabilities,probabilities_naive,\n",
    "            infected, 0.001, p_t, epoch, 50, p_r,p_e,0,0.0,1.0,0.0,0.1)\n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "get_prec_recall (generic function with 1 method)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function get_prec_recall(probabilities,infected)\n",
    "    prec = []\n",
    "    rec = []\n",
    "    for pn in 1:100\n",
    "        p = pn/100\n",
    "        tp = 0\n",
    "        fp = 0\n",
    "        fn = 0\n",
    "        tn = 0\n",
    "        for n in 1:length(probabilities)\n",
    "            if probabilities[n] >= p \n",
    "                if infected[n] >0\n",
    "                    tp += 1\n",
    "                else\n",
    "                    fp += 1\n",
    "                end\n",
    "            elseif infected[n] >0\n",
    "                fn += 1\n",
    "            else\n",
    "                tn += 1\n",
    "            end\n",
    "        end\n",
    "        push!(rec,tp/(tp+fn))\n",
    "        push!(prec,tp/(tp+fp))\n",
    "    end\n",
    "    return prec,rec\n",
    "end\n",
    "                "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
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     "execution_count": 15,
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   ],
   "source": [
    "prec,rec = get_prec_recall(probabilities,infected);\n",
    "precn, recn = get_prec_recall(probabilities_naive,infected);\n",
    "plot(rec,prec, label=\"Probabilistic\")\n",
    "plot!(recn,precn, label=\"Naive oracle\", xaxis=\"Recall\",yaxis=\"Precision\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "get_roc (generic function with 1 method)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "function get_roc(probabilities,infected)\n",
    "    tpr = []\n",
    "    fpr = []\n",
    "    for pn in 1:100\n",
    "        p = pn/100\n",
    "        tp = 0\n",
    "        fp = 0\n",
    "        fn = 0\n",
    "        tn = 0\n",
    "        for n in 1:length(probabilities)\n",
    "            if probabilities[n] >= p \n",
    "                if infected[n] > 0\n",
    "                    tp += 1\n",
    "                else\n",
    "                    fp += 1\n",
    "                end\n",
    "            elseif infected[n] > 0\n",
    "                fn += 1\n",
    "            else\n",
    "                tn += 1\n",
    "            end\n",
    "        end\n",
    "        push!(tpr,tp/(tp+fn))\n",
    "        push!(fpr,fp/(fp+tn))\n",
    "    end\n",
    "    return tpr,fpr\n",
    "end\n",
    "                "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
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     "execution_count": 17,
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   ],
   "source": [
    "tpr,fpr = get_roc(probabilities,infected);\n",
    "tprn, fprn = get_roc(probabilities_naive,infected);\n",
    "plot(fpr,tpr, label=\"Probabilistic\")\n",
    "plot!(fprn,tprn, label=\"Naive oracle\", xaxis=\"False positive rate\",yaxis=\"True positive rate\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Testing and isolation\n",
    "Same simulation as previously, but set `test_threshold` to 0.9, `test_fraction` to 0.1, `isolate_factor` to 0.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "contactlist,probabilities,probabilities_naive, infected = make_structures(NNodes, true);\n",
    "for n in 1:10\n",
    "    m = rand(1:NNodes)\n",
    "    if length(probabilities)>0\n",
    "        probabilities[m] = 1.0\n",
    "    end\n",
    "    probabilities_naive[m] = 1.0\n",
    "    infected[m]=1;\n",
    "end\n",
    "epoch = 1\n",
    "susceptible = []\n",
    "exposed = []\n",
    "infectious = []\n",
    "recovered = []\n",
    "for n = 1:1200\n",
    "    epoch = sweep(links,contactlist, probabilities,probabilities_naive,\n",
    "            infected, 0.001, p_t, epoch, 50, p_r,p_e,0,0.0,0.9,0.1,0.1)\n",
    "    push!(susceptible,length([x for x in infected if x==0]))\n",
    "    push!(exposed, length([x for x in infected if x<= -2]))\n",
    "    push!(infectious, length([x for x in infected if x>0]))\n",
    "    push!(recovered, length([x for x in infected if x== -1]))\n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
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       "  1725.72,849.806 1727.35,850.196 1728.98,850.196 1730.61,850.196 1732.24,850.326 1733.86,850.847 1735.49,850.847 1737.12,850.847 1738.75,850.847 1740.38,850.847 \n",
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       "  1758.3,851.367 1759.92,851.628 1761.55,851.628 1763.18,851.628 1764.81,851.888 1766.44,852.018 1768.07,852.409 1769.7,852.669 1771.33,852.929 1772.96,853.06 \n",
       "  1774.58,853.06 1776.21,853.06 1777.84,853.19 1779.47,853.19 1781.1,853.19 1782.73,853.19 1784.36,853.32 1785.99,853.58 1787.61,853.71 1789.24,853.841 \n",
       "  1790.87,853.971 1792.5,854.101 1794.13,854.231 1795.76,854.231 1797.39,854.361 1799.02,854.491 1800.64,854.491 1802.27,854.622 1803.9,854.882 1805.53,855.142 \n",
       "  1807.16,855.142 1808.79,855.142 1810.42,855.142 1812.05,855.142 1813.67,855.142 1815.3,855.142 1816.93,855.272 1818.56,855.403 1820.19,855.403 1821.82,855.403 \n",
       "  1823.45,855.533 1825.08,855.663 1826.71,855.793 1828.33,855.923 1829.96,855.923 1831.59,855.923 1833.22,856.053 1834.85,856.053 1836.48,856.314 1838.11,856.444 \n",
       "  1839.74,856.444 1841.36,856.574 1842.99,856.704 1844.62,856.704 1846.25,856.704 1847.88,856.965 1849.51,857.225 1851.14,857.225 1852.77,857.225 1854.39,857.355 \n",
       "  1856.02,857.355 1857.65,857.355 1859.28,857.485 1860.91,857.485 1862.54,857.485 1864.17,857.615 1865.8,857.615 1867.42,857.876 1869.05,857.876 1870.68,857.876 \n",
       "  1872.31,857.876 1873.94,857.876 1875.57,857.876 1877.2,858.006 1878.83,858.136 1880.46,858.136 1882.08,858.136 1883.71,858.136 1885.34,858.266 1886.97,858.266 \n",
       "  1888.6,858.396 1890.23,858.657 1891.86,858.657 1893.49,858.787 1895.11,858.787 1896.74,858.787 1898.37,858.787 1900,858.787 1901.63,858.787 1903.26,858.787 \n",
       "  1904.89,859.047 1906.52,859.047 1908.14,859.047 1909.77,859.047 1911.4,859.177 1913.03,859.177 1914.66,859.308 1916.29,859.308 1917.92,859.308 1919.55,859.308 \n",
       "  1921.18,859.308 1922.8,859.308 1924.43,859.308 1926.06,859.438 1927.69,859.438 1929.32,859.438 1930.95,859.568 1932.58,859.568 1934.21,859.698 1935.83,859.698 \n",
       "  1937.46,859.698 1939.09,859.958 1940.72,859.958 1942.35,860.089 1943.98,860.089 1945.61,860.089 1947.24,860.089 1948.86,860.089 1950.49,860.089 1952.12,860.089 \n",
       "  1953.75,860.479 1955.38,860.479 1957.01,860.479 1958.64,860.609 1960.27,860.609 1961.89,860.609 1963.52,860.609 1965.15,860.609 1966.78,860.739 1968.41,860.739 \n",
       "  1970.04,860.87 1971.67,860.87 1973.3,861.13 1974.93,861.26 1976.55,861.39 1978.18,861.52 1979.81,861.52 1981.44,861.52 1983.07,861.52 1984.7,861.52 \n",
       "  1986.33,861.651 1987.96,861.651 1989.58,861.781 1991.21,861.781 1992.84,861.911 1994.47,861.911 1996.1,862.301 1997.73,862.562 1999.36,862.692 2000.99,862.692 \n",
       "  2002.61,862.822 2004.24,863.082 2005.87,863.213 2007.5,863.213 2009.13,863.473 2010.76,863.473 2012.39,863.473 2014.02,863.603 2015.64,863.603 2017.27,863.603 \n",
       "  2018.9,863.603 2020.53,863.733 2022.16,863.733 2023.79,863.863 2025.42,863.863 2027.05,863.863 2028.68,864.124 2030.3,864.124 2031.93,864.124 2033.56,864.124 \n",
       "  2035.19,864.124 2036.82,864.124 2038.45,864.124 2040.08,864.124 2041.71,864.124 2043.33,864.124 2044.96,864.124 2046.59,864.124 2048.22,864.124 2049.85,864.124 \n",
       "  2051.48,864.124 2053.11,864.124 2054.74,864.124 2056.36,864.124 2057.99,864.254 2059.62,864.384 2061.25,864.384 2062.88,864.514 2064.51,864.514 2066.14,864.514 \n",
       "  2067.77,864.514 2069.4,864.644 2071.02,864.644 2072.65,864.644 2074.28,864.775 2075.91,864.775 2077.54,864.775 2079.17,864.775 2080.8,864.775 2082.43,864.775 \n",
       "  2084.05,864.775 2085.68,864.775 2087.31,864.905 2088.94,864.905 2090.57,865.295 2092.2,865.295 2093.83,865.425 2095.46,865.556 2097.08,865.686 2098.71,865.686 \n",
       "  2100.34,865.686 2101.97,865.686 2103.6,865.686 2105.23,865.816 2106.86,865.816 2108.49,865.816 2110.11,865.816 2111.74,865.816 2113.37,866.076 2115,866.076 \n",
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       "  2165.49,867.118 2167.12,867.118 2168.75,867.118 2170.38,867.118 2172.01,867.118 2173.64,867.118 2175.27,867.118 2176.9,867.118 2178.52,867.378 2180.15,867.378 \n",
       "  2181.78,867.378 2183.41,867.378 2185.04,867.508 2186.67,867.508 2188.3,867.508 2189.93,867.638 2191.55,867.638 2193.18,867.768 2194.81,868.029 2196.44,868.029 \n",
       "  2198.07,868.029 2199.7,868.029 2201.33,868.029 2202.96,868.029 2204.58,868.029 2206.21,868.029 2207.84,868.029 2209.47,868.029 2211.1,868.029 2212.73,868.159 \n",
       "  2214.36,868.159 2215.99,868.159 2217.62,868.159 2219.24,868.289 2220.87,868.289 2222.5,868.289 2224.13,868.289 2225.76,868.419 2227.39,868.419 2229.02,868.419 \n",
       "  2230.65,868.549 2232.27,868.549 2233.9,868.549 2235.53,868.549 2237.16,868.549 2238.79,868.68 2240.42,868.68 2242.05,868.68 2243.68,868.81 2245.3,868.81 \n",
       "  2246.93,868.94 2248.56,869.07 2250.19,869.07 2251.82,869.07 2253.45,869.07 2255.08,869.2 2256.71,869.2 2258.33,869.33 2259.96,869.33 2261.59,869.46 \n",
       "  2263.22,869.721 2264.85,869.721 2266.48,869.721 2268.11,869.721 2269.74,869.851 2271.37,869.851 2272.99,869.851 2274.62,869.851 2276.25,869.981 2277.88,869.981 \n",
       "  2279.51,869.981 2281.14,870.111 2282.77,870.111 2284.4,870.111 2286.02,870.111 2287.65,870.111 2289.28,870.111 2290.91,870.111 2292.54,870.111 2294.17,870.111 \n",
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       "  1155.64,1349.38 1157.27,1349.64 1158.9,1349.64 1160.53,1350.42 1162.16,1350.55 1163.79,1350.68 1165.42,1351.07 1167.04,1351.07 1168.67,1351.2 1170.3,1351.2 \n",
       "  1171.93,1351.59 1173.56,1351.72 1175.19,1351.85 1176.82,1352.76 1178.45,1353.03 1180.08,1352.9 1181.7,1353.03 1183.33,1353.55 1184.96,1354.2 1186.59,1354.33 \n",
       "  1188.22,1354.59 1189.85,1354.46 1191.48,1354.33 1193.11,1354.85 1194.73,1355.24 1196.36,1355.76 1197.99,1355.63 1199.62,1356.28 1201.25,1356.54 1202.88,1356.8 \n",
       "  1204.51,1357.06 1206.14,1357.32 1207.76,1356.93 1209.39,1356.93 1211.02,1357.84 1212.65,1358.23 1214.28,1358.75 1215.91,1359.01 1217.54,1358.49 1219.17,1358.62 \n",
       "  1220.79,1358.62 1222.42,1359.01 1224.05,1359.14 1225.68,1358.49 1227.31,1358.36 1228.94,1357.84 1230.57,1357.84 1232.2,1357.32 1233.83,1357.06 1235.45,1357.45 \n",
       "  1237.08,1357.32 1238.71,1357.19 1240.34,1357.71 1241.97,1357.71 1243.6,1358.62 1245.23,1358.75 1246.86,1358.88 1248.48,1359.01 1250.11,1358.88 1251.74,1359.27 \n",
       "  1253.37,1360.05 1255,1359.92 1256.63,1359.4 1258.26,1359.79 1259.89,1359.66 1261.51,1359.27 1263.14,1359.27 1264.77,1359.92 1266.4,1360.44 1268.03,1360.84 \n",
       "  1269.66,1360.84 1271.29,1360.18 1272.92,1359.92 1274.54,1360.84 1276.17,1360.44 1277.8,1360.71 1279.43,1360.84 1281.06,1361.49 1282.69,1361.49 1284.32,1361.49 \n",
       "  1285.95,1361.62 1287.58,1361.62 1289.2,1361.88 1290.83,1362.14 1292.46,1362.4 1294.09,1362.27 1295.72,1361.75 1297.35,1361.75 1298.98,1361.75 1300.61,1361.75 \n",
       "  1302.23,1362.53 1303.86,1362.92 1305.49,1363.31 1307.12,1363.05 1308.75,1363.18 1310.38,1363.05 1312.01,1363.31 1313.64,1364.22 1315.26,1364.48 1316.89,1364.61 \n",
       "  1318.52,1364.74 1320.15,1364.74 1321.78,1365.26 1323.41,1365.65 1325.04,1365.78 1326.67,1366.04 1328.3,1366.69 1329.92,1366.43 1331.55,1366.56 1333.18,1366.82 \n",
       "  1334.81,1366.56 1336.44,1366.82 1338.07,1367.34 1339.7,1367.34 1341.33,1367.34 1342.95,1367.86 1344.58,1368.25 1346.21,1368.38 1347.84,1368.25 1349.47,1367.6 \n",
       "  1351.1,1367.73 1352.73,1367.99 1354.36,1367.99 1355.98,1368.12 1357.61,1368.12 1359.24,1367.99 1360.87,1367.86 1362.5,1367.86 1364.13,1367.86 1365.76,1367.47 \n",
       "  1367.39,1367.86 1369.01,1368.12 1370.64,1368.25 1372.27,1368.52 1373.9,1368.52 1375.53,1368.65 1377.16,1368.12 1378.79,1368.12 1380.42,1368.25 1382.05,1368.78 \n",
       "  1383.67,1368.65 1385.3,1369.04 1386.93,1369.17 1388.56,1369.82 1390.19,1370.34 1391.82,1370.6 1393.45,1370.99 1395.08,1371.38 1396.7,1371.25 1398.33,1371.51 \n",
       "  1399.96,1371.64 1401.59,1371.77 1403.22,1371.9 1404.85,1371.38 1406.48,1371.38 1408.11,1371.38 1409.73,1371.38 1411.36,1371.77 1412.99,1372.03 1414.62,1372.16 \n",
       "  1416.25,1372.29 1417.88,1372.29 1419.51,1372.68 1421.14,1372.81 1422.76,1372.81 1424.39,1372.94 1426.02,1372.94 1427.65,1373.2 1429.28,1373.59 1430.91,1373.85 \n",
       "  1432.54,1373.85 1434.17,1373.72 1435.8,1373.98 1437.42,1374.24 1439.05,1374.5 1440.68,1374.37 1442.31,1374.5 1443.94,1373.98 1445.57,1374.24 1447.2,1374.37 \n",
       "  1448.83,1374.76 1450.45,1374.89 1452.08,1374.89 1453.71,1375.15 1455.34,1374.89 1456.97,1375.02 1458.6,1374.89 1460.23,1374.63 1461.86,1375.15 1463.48,1374.89 \n",
       "  1465.11,1375.02 1466.74,1374.76 1468.37,1374.11 1470,1373.98 1471.63,1373.98 1473.26,1373.2 1474.89,1373.2 1476.52,1373.07 1478.14,1372.68 1479.77,1372.55 \n",
       "  1481.4,1372.29 1483.03,1372.42 1484.66,1372.68 1486.29,1372.81 1487.92,1372.81 1489.55,1372.55 1491.17,1372.68 1492.8,1372.94 1494.43,1372.94 1496.06,1372.94 \n",
       "  1497.69,1372.81 1499.32,1373.07 1500.95,1373.07 1502.58,1373.2 1504.2,1373.07 1505.83,1372.68 1507.46,1372.81 1509.09,1372.94 1510.72,1373.46 1512.35,1373.2 \n",
       "  1513.98,1373.2 1515.61,1372.94 1517.23,1372.68 1518.86,1373.2 1520.49,1373.2 1522.12,1373.2 1523.75,1373.2 1525.38,1373.07 1527.01,1372.81 1528.64,1372.94 \n",
       "  1530.27,1372.81 1531.89,1372.94 1533.52,1373.2 1535.15,1372.81 1536.78,1372.68 1538.41,1372.68 1540.04,1372.81 1541.67,1372.55 1543.3,1372.42 1544.92,1372.42 \n",
       "  1546.55,1372.55 1548.18,1372.68 1549.81,1372.94 1551.44,1373.33 1553.07,1373.59 1554.7,1373.33 1556.33,1373.59 1557.95,1373.59 1559.58,1374.11 1561.21,1374.37 \n",
       "  1562.84,1374.11 1564.47,1374.11 1566.1,1374.24 1567.73,1374.5 1569.36,1375.02 1570.98,1375.28 1572.61,1375.41 1574.24,1375.67 1575.87,1375.8 1577.5,1375.41 \n",
       "  1579.13,1375.15 1580.76,1375.02 1582.39,1375.28 1584.02,1375.54 1585.64,1375.93 1587.27,1376.06 1588.9,1376.32 1590.53,1376.32 1592.16,1376.72 1593.79,1376.32 \n",
       "  1595.42,1376.06 1597.05,1376.32 1598.67,1376.19 1600.3,1376.32 1601.93,1376.72 1603.56,1376.59 1605.19,1376.59 1606.82,1376.59 1608.45,1376.46 1610.08,1376.72 \n",
       "  1611.7,1376.98 1613.33,1376.85 1614.96,1376.98 1616.59,1376.98 1618.22,1377.11 1619.85,1377.11 1621.48,1377.24 1623.11,1377.11 1624.74,1376.98 1626.36,1376.98 \n",
       "  1627.99,1377.37 1629.62,1377.24 1631.25,1376.72 1632.88,1376.72 1634.51,1376.98 1636.14,1376.85 1637.77,1377.24 1639.39,1377.5 1641.02,1377.89 1642.65,1377.89 \n",
       "  1644.28,1378.02 1645.91,1378.02 1647.54,1377.76 1649.17,1377.89 1650.8,1378.41 1652.42,1378.15 1654.05,1378.28 1655.68,1378.54 1657.31,1378.67 1658.94,1378.8 \n",
       "  1660.57,1378.54 1662.2,1378.67 1663.83,1378.93 1665.45,1378.8 1667.08,1378.93 1668.71,1379.06 1670.34,1378.8 1671.97,1378.67 1673.6,1378.93 1675.23,1379.06 \n",
       "  1676.86,1378.8 1678.49,1378.8 1680.11,1378.67 1681.74,1378.8 1683.37,1378.8 1685,1378.67 1686.63,1378.8 1688.26,1378.8 1689.89,1378.67 1691.52,1378.54 \n",
       "  1693.14,1378.28 1694.77,1378.41 1696.4,1378.02 1698.03,1378.02 1699.66,1378.41 1701.29,1378.54 1702.92,1378.28 1704.55,1378.54 1706.17,1378.41 1707.8,1378.02 \n",
       "  1709.43,1377.89 1711.06,1378.02 1712.69,1378.28 1714.32,1378.15 1715.95,1378.28 1717.58,1378.41 1719.2,1378.54 1720.83,1378.8 1722.46,1378.67 1724.09,1378.8 \n",
       "  1725.72,1378.8 1727.35,1378.54 1728.98,1378.8 1730.61,1378.8 1732.24,1378.67 1733.86,1378.41 1735.49,1378.67 1737.12,1378.8 1738.75,1379.19 1740.38,1379.32 \n",
       "  1742.01,1379.32 1743.64,1379.32 1745.27,1379.45 1746.89,1379.58 1748.52,1379.71 1750.15,1379.71 1751.78,1379.45 1753.41,1379.58 1755.04,1379.71 1756.67,1379.71 \n",
       "  1758.3,1379.84 1759.92,1379.71 1761.55,1379.84 1763.18,1379.84 1764.81,1379.58 1766.44,1379.71 1768.07,1379.32 1769.7,1379.06 1771.33,1379.06 1772.96,1379.06 \n",
       "  1774.58,1379.06 1776.21,1379.06 1777.84,1378.93 1779.47,1379.19 1781.1,1379.58 1782.73,1379.84 1784.36,1379.71 1785.99,1379.45 1787.61,1379.32 1789.24,1379.32 \n",
       "  1790.87,1379.32 1792.5,1379.45 1794.13,1379.45 1795.76,1379.58 1797.39,1379.58 1799.02,1379.45 1800.64,1379.58 1802.27,1379.45 1803.9,1379.19 1805.53,1379.06 \n",
       "  1807.16,1379.32 1808.79,1379.45 1810.42,1379.84 1812.05,1379.84 1813.67,1379.97 1815.3,1380.1 1816.93,1380.1 1818.56,1380.1 1820.19,1380.1 1821.82,1380.1 \n",
       "  1823.45,1380.23 1825.08,1380.23 1826.71,1380.1 1828.33,1379.97 1829.96,1379.97 1831.59,1380.1 1833.22,1379.97 1834.85,1379.97 1836.48,1379.71 1838.11,1379.71 \n",
       "  1839.74,1380.1 1841.36,1380.1 1842.99,1379.97 1844.62,1380.23 1846.25,1380.36 1847.88,1380.75 1849.51,1380.75 1851.14,1381.01 1852.77,1381.14 1854.39,1381.01 \n",
       "  1856.02,1381.14 1857.65,1381.27 1859.28,1381.14 1860.91,1381.27 1862.54,1381.66 1864.17,1381.66 1865.8,1381.79 1867.42,1381.66 1869.05,1381.66 1870.68,1381.79 \n",
       "  1872.31,1381.92 1873.94,1381.92 1875.57,1381.92 1877.2,1381.92 1878.83,1381.79 1880.46,1381.92 1882.08,1382.05 1883.71,1382.05 1885.34,1382.05 1886.97,1382.44 \n",
       "  1888.6,1382.44 1890.23,1382.31 1891.86,1382.31 1893.49,1382.44 1895.11,1382.44 1896.74,1382.57 1898.37,1382.57 1900,1382.57 1901.63,1382.7 1903.26,1382.7 \n",
       "  1904.89,1382.44 1906.52,1382.44 1908.14,1382.44 1909.77,1382.57 1911.4,1382.57 1913.03,1382.57 1914.66,1382.7 1916.29,1382.96 1917.92,1383.09 1919.55,1383.09 \n",
       "  1921.18,1383.09 1922.8,1383.22 1924.43,1383.35 1926.06,1383.22 1927.69,1383.22 1929.32,1383.35 1930.95,1383.22 1932.58,1383.35 1934.21,1383.22 1935.83,1383.35 \n",
       "  1937.46,1383.35 1939.09,1383.22 1940.72,1383.35 1942.35,1383.35 1943.98,1383.61 1945.61,1383.61 1947.24,1383.61 1948.86,1383.61 1950.49,1383.61 1952.12,1383.61 \n",
       "  1953.75,1383.22 1955.38,1383.35 1957.01,1383.35 1958.64,1383.48 1960.27,1383.48 1961.89,1383.48 1963.52,1383.61 1965.15,1383.61 1966.78,1383.48 1968.41,1383.48 \n",
       "  1970.04,1383.48 1971.67,1383.74 1973.3,1383.48 1974.93,1383.35 1976.55,1383.35 1978.18,1383.22 1979.81,1383.22 1981.44,1383.35 1983.07,1383.48 1984.7,1383.48 \n",
       "  1986.33,1383.35 1987.96,1383.35 1989.58,1383.22 1991.21,1383.48 1992.84,1383.35 1994.47,1383.35 1996.1,1382.96 1997.73,1382.7 1999.36,1382.7 2000.99,1382.96 \n",
       "  2002.61,1382.96 2004.24,1382.83 2005.87,1382.7 2007.5,1382.83 2009.13,1382.57 2010.76,1382.7 2012.39,1382.7 2014.02,1382.57 2015.64,1382.57 2017.27,1382.7 \n",
       "  2018.9,1382.7 2020.53,1382.7 2022.16,1382.83 2023.79,1382.83 2025.42,1382.96 2027.05,1383.09 2028.68,1382.83 2030.3,1383.09 2031.93,1383.09 2033.56,1383.09 \n",
       "  2035.19,1383.22 2036.82,1383.35 2038.45,1383.48 2040.08,1383.48 2041.71,1383.74 2043.33,1383.74 2044.96,1383.74 2046.59,1383.74 2048.22,1383.74 2049.85,1383.87 \n",
       "  2051.48,1384 2053.11,1384.13 2054.74,1384.13 2056.36,1384.27 2057.99,1384.4 2059.62,1384.27 2061.25,1384.27 2062.88,1384.13 2064.51,1384.13 2066.14,1384.13 \n",
       "  2067.77,1384.13 2069.4,1384 2071.02,1384 2072.65,1384 2074.28,1383.87 2075.91,1383.87 2077.54,1384 2079.17,1384 2080.8,1384.13 2082.43,1384.27 \n",
       "  2084.05,1384.53 2085.68,1384.53 2087.31,1384.4 2088.94,1384.53 2090.57,1384.13 2092.2,1384.13 2093.83,1384 2095.46,1383.87 2097.08,1383.74 2098.71,1383.74 \n",
       "  2100.34,1383.74 2101.97,1383.87 2103.6,1383.87 2105.23,1383.74 2106.86,1383.87 2108.49,1383.87 2110.11,1384 2111.74,1384 2113.37,1383.87 2115,1383.87 \n",
       "  2116.63,1383.87 2118.26,1383.87 2119.89,1383.74 2121.52,1383.74 2123.15,1384 2124.77,1384.27 2126.4,1384.13 2128.03,1384 2129.66,1383.87 2131.29,1383.87 \n",
       "  2132.92,1383.87 2134.55,1383.87 2136.18,1383.87 2137.8,1383.87 2139.43,1384 2141.06,1384.27 2142.69,1384.27 2144.32,1384.4 2145.95,1384.4 2147.58,1384.53 \n",
       "  2149.21,1384.4 2150.83,1384.53 2152.46,1384.53 2154.09,1384.66 2155.72,1384.66 2157.35,1384.66 2158.98,1384.66 2160.61,1384.66 2162.24,1384.66 2163.86,1384.66 \n",
       "  2165.49,1384.79 2167.12,1384.79 2168.75,1384.79 2170.38,1384.79 2172.01,1384.79 2173.64,1384.79 2175.27,1384.79 2176.9,1385.05 2178.52,1384.79 2180.15,1384.79 \n",
       "  2181.78,1384.79 2183.41,1384.79 2185.04,1384.66 2186.67,1384.66 2188.3,1384.66 2189.93,1384.53 2191.55,1384.53 2193.18,1384.4 2194.81,1384.27 2196.44,1384.27 \n",
       "  2198.07,1384.4 2199.7,1384.53 2201.33,1384.53 2202.96,1384.53 2204.58,1384.53 2206.21,1384.53 2207.84,1384.53 2209.47,1384.66 2211.1,1384.66 2212.73,1384.53 \n",
       "  2214.36,1384.53 2215.99,1384.66 2217.62,1384.66 2219.24,1384.53 2220.87,1384.66 2222.5,1384.66 2224.13,1384.79 2225.76,1384.66 2227.39,1384.79 2229.02,1384.79 \n",
       "  2230.65,1384.92 2232.27,1384.92 2233.9,1384.92 2235.53,1385.05 2237.16,1385.05 2238.79,1385.05 2240.42,1385.18 2242.05,1385.31 2243.68,1385.18 2245.3,1385.18 \n",
       "  2246.93,1385.18 2248.56,1385.05 2250.19,1385.05 2251.82,1385.05 2253.45,1385.05 2255.08,1384.92 2256.71,1384.92 2258.33,1384.92 2259.96,1384.92 2261.59,1384.92 \n",
       "  2263.22,1384.66 2264.85,1384.79 2266.48,1384.92 2268.11,1384.92 2269.74,1384.79 2271.37,1384.79 2272.99,1384.79 2274.62,1384.92 2276.25,1384.79 2277.88,1384.79 \n",
       "  2279.51,1384.79 2281.14,1384.66 2282.77,1384.66 2284.4,1384.66 2286.02,1384.66 2287.65,1384.66 2289.28,1384.66 2290.91,1384.79 2292.54,1384.92 2294.17,1384.92 \n",
       "  \n",
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       "  357.535,1385.31 359.164,1385.31 360.793,1385.31 362.422,1385.31 364.051,1385.31 365.679,1385.31 367.308,1385.31 368.937,1385.31 370.566,1385.31 372.195,1385.31 \n",
       "  373.823,1385.31 375.452,1385.31 377.081,1385.31 378.71,1385.31 380.339,1385.31 381.967,1385.31 383.596,1385.31 385.225,1385.31 386.854,1385.31 388.483,1385.31 \n",
       "  390.111,1385.18 391.74,1385.18 393.369,1385.18 394.998,1385.31 396.626,1385.31 398.255,1385.31 399.884,1385.31 401.513,1385.31 403.142,1385.31 404.77,1385.31 \n",
       "  406.399,1385.31 408.028,1385.31 409.657,1385.31 411.286,1385.18 412.914,1385.05 414.543,1385.05 416.172,1385.05 417.801,1385.05 419.43,1385.05 421.058,1384.92 \n",
       "  422.687,1384.92 424.316,1384.79 425.945,1384.66 427.573,1384.66 429.202,1384.79 430.831,1384.79 432.46,1384.79 434.089,1384.66 435.717,1384.66 437.346,1384.53 \n",
       "  438.975,1384.53 440.604,1384.4 442.233,1384.27 443.861,1384.13 445.49,1384.13 447.119,1384.13 448.748,1384.13 450.377,1383.87 452.005,1383.87 453.634,1383.35 \n",
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       "  471.551,1382.7 473.18,1382.57 474.808,1382.44 476.437,1382.31 478.066,1382.18 479.695,1381.92 481.324,1381.79 482.952,1382.05 484.581,1381.4 486.21,1381.4 \n",
       "  487.839,1381.4 489.468,1381.01 491.096,1380.88 492.725,1380.62 494.354,1380.49 495.983,1380.23 497.612,1380.23 499.24,1379.71 500.869,1379.58 502.498,1379.58 \n",
       "  504.127,1379.71 505.755,1379.58 507.384,1379.06 509.013,1378.8 510.642,1378.67 512.271,1378.41 513.899,1377.89 515.528,1377.76 517.157,1377.37 518.786,1376.72 \n",
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       "  536.703,1372.55 538.331,1372.42 539.96,1372.42 541.589,1372.03 543.218,1371.9 544.846,1371.38 546.475,1371.12 548.104,1370.73 549.733,1370.47 551.362,1370.08 \n",
       "  552.99,1369.69 554.619,1369.82 556.248,1368.91 557.877,1368.78 559.506,1367.99 561.134,1367.73 562.763,1367.21 564.392,1366.17 566.021,1365.78 567.65,1365.26 \n",
       "  569.278,1365.13 570.907,1364.87 572.536,1364.22 574.165,1364.09 575.793,1363.7 577.422,1363.31 579.051,1362.79 580.68,1362.4 582.309,1362.01 583.937,1360.84 \n",
       "  585.566,1360.31 587.195,1358.49 588.824,1357.58 590.453,1357.19 592.081,1356.67 593.71,1356.67 595.339,1356.41 596.968,1355.5 598.597,1354.2 600.225,1353.16 \n",
       "  601.854,1352.37 603.483,1351.98 605.112,1351.07 606.741,1350.42 608.369,1349.12 609.998,1348.34 611.627,1347.56 613.256,1346.39 614.884,1345.09 616.513,1343.91 \n",
       "  618.142,1342.35 619.771,1341.57 621.4,1340.66 623.028,1340.01 624.657,1338.71 626.286,1337.41 627.915,1335.19 629.544,1333.11 631.172,1331.81 632.801,1331.03 \n",
       "  634.43,1329.86 636.059,1328.94 637.688,1328.29 639.316,1327.12 640.945,1325.3 642.574,1324.13 644.203,1323.35 645.832,1322.7 647.46,1321.4 649.089,1319.7 \n",
       "  650.718,1317.88 652.347,1316.32 653.975,1314.5 655.604,1313.06 657.233,1311.63 658.862,1310.2 660.491,1309.29 662.119,1307.21 663.748,1306.17 665.377,1305.25 \n",
       "  667.006,1303.95 668.635,1302.26 670.263,1301.35 671.892,1300.05 673.521,1297.97 675.15,1295.88 676.779,1294.19 678.407,1292.89 680.036,1291.85 681.665,1290.81 \n",
       "  683.294,1289.76 684.923,1288.98 686.551,1287.94 688.18,1285.86 689.809,1284.3 691.438,1283.26 693.066,1281.69 694.695,1279.48 696.324,1277.4 697.953,1275.97 \n",
       "  699.582,1274.01 701.21,1272.06 702.839,1270.89 704.468,1270.24 706.097,1268.29 707.726,1266.99 709.354,1263.73 710.983,1261.91 712.612,1260.74 714.241,1259.31 \n",
       "  715.87,1258.13 717.498,1257.35 719.127,1254.49 720.756,1252.54 722.385,1250.59 724.014,1249.54 725.642,1247.2 727.271,1245.51 728.9,1244.34 730.529,1243.04 \n",
       "  732.157,1240.56 733.786,1238.74 735.415,1236.79 737.044,1234.57 738.673,1232.49 740.301,1229.89 741.93,1228.98 743.559,1228.72 745.188,1227.29 746.817,1225.33 \n",
       "  748.445,1223.51 750.074,1222.34 751.703,1218.56 753.332,1217.91 754.961,1216.61 756.589,1215.18 758.218,1214.14 759.847,1211.54 761.476,1210.1 763.104,1208.02 \n",
       "  764.733,1206.07 766.362,1203.33 767.991,1201.51 769.62,1200.34 771.248,1197.87 772.877,1196.05 774.506,1195.26 776.135,1195 777.764,1193.44 779.392,1192.01 \n",
       "  781.021,1191.75 782.65,1189.67 784.279,1187.45 785.908,1185.37 787.536,1183.68 789.165,1182.25 790.794,1180.95 792.423,1178.21 794.052,1176.13 795.68,1174.7 \n",
       "  797.309,1173.27 798.938,1171.44 800.567,1170.14 802.195,1169.75 803.824,1169.75 805.453,1170.01 807.082,1168.97 808.711,1168.19 810.339,1165.07 811.968,1164.55 \n",
       "  813.597,1163.37 815.226,1163.11 816.855,1162.2 818.483,1160.77 820.112,1159.47 821.741,1160.12 823.37,1158.95 824.999,1156.87 826.627,1156.22 828.256,1154.78 \n",
       "  829.885,1152.31 831.514,1150.75 833.143,1149.58 834.771,1149.19 836.4,1146.58 838.029,1146.19 839.658,1145.93 841.286,1144.24 842.915,1144.11 844.544,1144.63 \n",
       "  846.173,1143.85 847.802,1143.59 849.43,1143.2 851.059,1140.86 852.688,1140.33 854.317,1139.68 855.946,1138.25 857.574,1137.08 859.203,1136.43 860.832,1135.26 \n",
       "  862.461,1134.09 864.09,1132.52 865.718,1131.87 867.347,1132.13 868.976,1132.13 870.605,1130.44 872.234,1130.18 873.862,1130.57 875.491,1130.7 877.12,1131.09 \n",
       "  878.749,1131.35 880.377,1131.48 882.006,1130.83 883.635,1129.53 885.264,1130.44 886.893,1131.09 888.521,1130.31 890.15,1130.7 891.779,1131.09 893.408,1130.7 \n",
       "  895.037,1130.18 896.665,1129.66 898.294,1129.01 899.923,1128.75 901.552,1128.36 903.181,1127.97 904.809,1130.05 906.438,1128.75 908.067,1128.23 909.696,1127.71 \n",
       "  911.324,1127.06 912.953,1127.58 914.582,1129.27 916.211,1129.53 917.84,1129.27 919.468,1129.79 921.097,1129.79 922.726,1129.92 924.355,1130.18 925.984,1131.09 \n",
       "  927.612,1131.22 929.241,1130.7 930.87,1130.18 932.499,1130.05 934.128,1130.83 935.756,1130.57 937.385,1130.96 939.014,1130.83 940.643,1131.22 942.272,1131.61 \n",
       "  943.9,1130.83 945.529,1130.96 947.158,1131.09 948.787,1130.44 950.415,1129.53 952.044,1129.92 953.673,1130.18 955.302,1129.79 956.931,1129.14 958.559,1129.01 \n",
       "  960.188,1130.31 961.817,1129.79 963.446,1130.7 965.075,1130.96 966.703,1131.61 968.332,1131.87 969.961,1131.22 971.59,1132 973.219,1133.57 974.847,1134.35 \n",
       "  976.476,1134.22 978.105,1135.26 979.734,1135.13 981.363,1136.43 982.991,1137.08 984.62,1137.86 986.249,1139.16 987.878,1138.64 989.506,1139.68 991.135,1139.29 \n",
       "  992.764,1140.6 994.393,1140.99 996.022,1141.51 997.65,1141.12 999.279,1141.51 1000.91,1141.12 1002.54,1142.03 1004.17,1141.51 1005.79,1141.25 1007.42,1141.25 \n",
       "  1009.05,1141.38 1010.68,1142.29 1012.31,1143.07 1013.94,1144.89 1015.57,1144.5 1017.2,1144.5 1018.82,1144.89 1020.45,1145.8 1022.08,1146.71 1023.71,1145.54 \n",
       "  1025.34,1145.8 1026.97,1146.45 1028.6,1147.49 1030.23,1148.14 1031.86,1147.36 1033.48,1146.45 1035.11,1146.19 1036.74,1146.45 1038.37,1147.36 1040,1148.27 \n",
       "  1041.63,1148.54 1043.26,1149.84 1044.89,1151.14 1046.51,1151.4 1048.14,1152.83 1049.77,1153.09 1051.4,1154 1053.03,1154.13 1054.66,1155.04 1056.29,1155.95 \n",
       "  1057.92,1156.74 1059.54,1156.74 1061.17,1157 1062.8,1158.04 1064.43,1158.3 1066.06,1158.17 1067.69,1158.17 1069.32,1160.25 1070.95,1161.29 1072.57,1161.81 \n",
       "  1074.2,1162.33 1075.83,1162.98 1077.46,1164.55 1079.09,1164.68 1080.72,1164.42 1082.35,1165.07 1083.98,1164.16 1085.61,1164.03 1087.23,1164.16 1088.86,1165.07 \n",
       "  1090.49,1165.59 1092.12,1166.37 1093.75,1166.37 1095.38,1167.54 1097.01,1167.93 1098.64,1168.71 1100.26,1168.84 1101.89,1169.23 1103.52,1170.27 1105.15,1170.4 \n",
       "  1106.78,1171.83 1108.41,1171.44 1110.04,1171.7 1111.67,1172.1 1113.29,1173.92 1114.92,1174.57 1116.55,1174.83 1118.18,1174.57 1119.81,1175.87 1121.44,1176.52 \n",
       "  1123.07,1176.26 1124.7,1176.26 1126.32,1177.17 1127.95,1178.47 1129.58,1178.99 1131.21,1180.82 1132.84,1180.69 1134.47,1181.73 1136.1,1181.99 1137.73,1182.9 \n",
       "  1139.36,1183.81 1140.98,1183.81 1142.61,1185.37 1144.24,1185.11 1145.87,1186.02 1147.5,1186.8 1149.13,1187.72 1150.76,1189.15 1152.39,1190.19 1154.01,1190.97 \n",
       "  1155.64,1191.75 1157.27,1192.66 1158.9,1193.83 1160.53,1193.44 1162.16,1193.96 1163.79,1194.61 1165.42,1194.61 1167.04,1195.26 1168.67,1195.92 1170.3,1197.09 \n",
       "  1171.93,1197.87 1173.56,1198 1175.19,1198.65 1176.82,1199.56 1178.45,1200.6 1180.08,1201.9 1181.7,1202.29 1183.33,1202.81 1184.96,1204.12 1186.59,1205.42 \n",
       "  1188.22,1205.81 1189.85,1206.07 1191.48,1206.72 1193.11,1207.24 1194.73,1208.02 1196.36,1208.28 1197.99,1208.67 1199.62,1209.06 1201.25,1209.45 1202.88,1210.23 \n",
       "  1204.51,1210.62 1206.14,1211.67 1207.76,1212.45 1209.39,1213.23 1211.02,1213.36 1212.65,1213.75 1214.28,1213.62 1215.91,1213.75 1217.54,1215.31 1219.17,1215.83 \n",
       "  1220.79,1216.09 1222.42,1216.35 1224.05,1217.13 1225.68,1217.52 1227.31,1218.17 1228.94,1218.95 1230.57,1219.22 1232.2,1219.87 1233.83,1220 1235.45,1220.78 \n",
       "  1237.08,1221.95 1238.71,1222.99 1240.34,1222.73 1241.97,1223.38 1243.6,1222.73 1245.23,1223.51 1246.86,1224.03 1248.48,1224.42 1250.11,1225.07 1251.74,1225.46 \n",
       "  1253.37,1225.46 1255,1226.24 1256.63,1227.16 1258.26,1227.29 1259.89,1227.81 1261.51,1228.59 1263.14,1229.11 1264.77,1229.24 1266.4,1229.37 1268.03,1229.76 \n",
       "  1269.66,1230.02 1271.29,1231.45 1272.92,1231.84 1274.54,1231.58 1276.17,1232.75 1277.8,1233.27 1279.43,1233.79 1281.06,1234.31 1282.69,1234.18 1284.32,1234.7 \n",
       "  1285.95,1235.62 1287.58,1236.4 1289.2,1236.66 1290.83,1236.92 1292.46,1237.44 1294.09,1238.22 1295.72,1238.61 1297.35,1239 1298.98,1239 1300.61,1239.65 \n",
       "  1302.23,1239.52 1303.86,1239.52 1305.49,1239.78 1307.12,1239.91 1308.75,1240.69 1310.38,1241.47 1312.01,1241.99 1313.64,1241.73 1315.26,1242.38 1316.89,1242.78 \n",
       "  1318.52,1243.04 1320.15,1243.69 1321.78,1243.69 1323.41,1244.08 1325.04,1244.99 1326.67,1245.38 1328.3,1246.16 1329.92,1247.07 1331.55,1247.46 1333.18,1248.11 \n",
       "  1334.81,1249.54 1336.44,1249.41 1338.07,1249.8 1339.7,1251.11 1341.33,1251.37 1342.95,1252.15 1344.58,1252.28 1346.21,1252.93 1347.84,1252.93 1349.47,1253.58 \n",
       "  1351.1,1254.23 1352.73,1254.62 1354.36,1255.27 1355.98,1255.79 1357.61,1256.31 1359.24,1257.22 1360.87,1257.61 1362.5,1257.74 1364.13,1257.87 1365.76,1259.31 \n",
       "  1367.39,1259.57 1369.01,1260.09 1370.64,1260.74 1372.27,1261.52 1373.9,1262.17 1375.53,1262.3 1377.16,1262.95 1378.79,1263.21 1380.42,1263.99 1382.05,1263.86 \n",
       "  1383.67,1264.51 1385.3,1264.64 1386.93,1264.9 1388.56,1264.64 1390.19,1264.38 1391.82,1264.25 1393.45,1264.12 1395.08,1264.9 1396.7,1264.9 1398.33,1266.07 \n",
       "  1399.96,1266.73 1401.59,1267.12 1403.22,1266.99 1404.85,1267.9 1406.48,1268.16 1408.11,1268.29 1409.73,1268.68 1411.36,1270.11 1412.99,1270.37 1414.62,1270.89 \n",
       "  1416.25,1270.89 1417.88,1271.02 1419.51,1271.28 1421.14,1271.54 1422.76,1272.06 1424.39,1272.84 1426.02,1273.23 1427.65,1274.15 1429.28,1274.67 1430.91,1275.19 \n",
       "  1432.54,1275.84 1434.17,1276.23 1435.8,1276.75 1437.42,1277.14 1439.05,1277.79 1440.68,1278.7 1442.31,1279.35 1443.94,1279.61 1445.57,1279.61 1447.2,1280.91 \n",
       "  1448.83,1281.17 1450.45,1281.3 1452.08,1282.35 1453.71,1282.35 1455.34,1282.22 1456.97,1283 1458.6,1283.78 1460.23,1284.17 1461.86,1283.91 1463.48,1285.08 \n",
       "  1465.11,1285.21 1466.74,1285.99 1468.37,1286.38 1470,1287.16 1471.63,1287.55 1473.26,1287.68 1474.89,1287.29 1476.52,1288.07 1478.14,1288.2 1479.77,1288.59 \n",
       "  1481.4,1288.85 1483.03,1289.11 1484.66,1289.11 1486.29,1289.24 1487.92,1289.24 1489.55,1290.03 1491.17,1290.42 1492.8,1291.07 1494.43,1291.46 1496.06,1292.24 \n",
       "  1497.69,1293.54 1499.32,1294.19 1500.95,1294.45 1502.58,1294.84 1504.2,1295.36 1505.83,1296.4 1507.46,1296.53 1509.09,1297.18 1510.72,1297.18 1512.35,1298.1 \n",
       "  1513.98,1297.97 1515.61,1298.36 1517.23,1298.62 1518.86,1298.1 1520.49,1298.75 1522.12,1298.75 1523.75,1299.01 1525.38,1299.4 1527.01,1299.66 1528.64,1299.66 \n",
       "  1530.27,1299.92 1531.89,1300.31 1533.52,1300.05 1535.15,1301.09 1536.78,1301.61 1538.41,1301.74 1540.04,1301.87 1541.67,1302.26 1543.3,1302.78 1544.92,1303.82 \n",
       "  1546.55,1304.34 1548.18,1304.08 1549.81,1304.21 1551.44,1304.21 1553.07,1304.99 1554.7,1305.65 1556.33,1305.78 1557.95,1306.04 1559.58,1306.3 1561.21,1306.04 \n",
       "  1562.84,1306.43 1564.47,1306.56 1566.1,1306.82 1567.73,1307.21 1569.36,1307.6 1570.98,1307.6 1572.61,1307.47 1574.24,1307.99 1575.87,1307.73 1577.5,1307.73 \n",
       "  1579.13,1308.64 1580.76,1309.03 1582.39,1309.68 1584.02,1310.07 1585.64,1310.07 1587.27,1310.2 1588.9,1310.59 1590.53,1311.11 1592.16,1311.11 1593.79,1311.24 \n",
       "  1595.42,1312.02 1597.05,1311.89 1598.67,1312.28 1600.3,1312.67 1601.93,1312.67 1603.56,1313.06 1605.19,1313.85 1606.82,1313.98 1608.45,1314.63 1610.08,1314.76 \n",
       "  1611.7,1314.76 1613.33,1314.89 1614.96,1315.15 1616.59,1315.67 1618.22,1315.8 1619.85,1316.45 1621.48,1316.58 1623.11,1317.1 1624.74,1317.36 1626.36,1317.49 \n",
       "  1627.99,1317.88 1629.62,1318.01 1631.25,1318.4 1632.88,1318.53 1634.51,1318.66 1636.14,1318.92 1637.77,1318.53 1639.39,1318.53 1641.02,1318.53 1642.65,1318.66 \n",
       "  1644.28,1318.79 1645.91,1319.44 1647.54,1320.22 1649.17,1320.35 1650.8,1320.22 1652.42,1320.48 1654.05,1320.48 1655.68,1320.48 1657.31,1320.87 1658.94,1321.4 \n",
       "  1660.57,1321.79 1662.2,1322.44 1663.83,1322.83 1665.45,1323.22 1667.08,1324 1668.71,1324.78 1670.34,1325.17 1671.97,1326.08 1673.6,1326.34 1675.23,1326.34 \n",
       "  1676.86,1326.47 1678.49,1326.99 1680.11,1327.25 1681.74,1327.25 1683.37,1327.38 1685,1327.64 1686.63,1328.29 1688.26,1329.07 1689.89,1328.94 1691.52,1328.94 \n",
       "  1693.14,1329.21 1694.77,1329.34 1696.4,1329.73 1698.03,1330.51 1699.66,1330.12 1701.29,1330.51 1702.92,1331.29 1704.55,1331.42 1706.17,1331.55 1707.8,1331.68 \n",
       "  1709.43,1332.2 1711.06,1332.07 1712.69,1332.07 1714.32,1332.72 1715.95,1332.72 1717.58,1332.46 1719.2,1332.59 1720.83,1332.59 1722.46,1332.59 1724.09,1332.59 \n",
       "  1725.72,1332.59 1727.35,1333.63 1728.98,1333.63 1730.61,1334.02 1732.24,1334.54 1733.86,1334.28 1735.49,1334.15 1737.12,1334.54 1738.75,1334.54 1740.38,1334.67 \n",
       "  1742.01,1335.19 1743.64,1335.32 1745.27,1335.19 1746.89,1335.71 1748.52,1336.1 1750.15,1336.36 1751.78,1336.88 1753.41,1337.15 1755.04,1337.28 1756.67,1338.06 \n",
       "  1758.3,1338.58 1759.92,1338.97 1761.55,1339.49 1763.18,1339.62 1764.81,1340.14 1766.44,1340.27 1768.07,1340.79 1769.7,1341.31 1771.33,1341.18 1772.96,1341.18 \n",
       "  1774.58,1341.31 1776.21,1341.57 1777.84,1341.57 1779.47,1341.83 1781.1,1342.09 1782.73,1342.09 1784.36,1342.35 1785.99,1342.61 1787.61,1342.87 1789.24,1342.87 \n",
       "  1790.87,1343 1792.5,1343.52 1794.13,1343.52 1795.76,1343.91 1797.39,1344.17 1799.02,1344.3 1800.64,1344.56 1802.27,1344.56 1803.9,1344.69 1805.53,1344.69 \n",
       "  1807.16,1344.82 1808.79,1344.96 1810.42,1344.69 1812.05,1344.69 1813.67,1344.82 1815.3,1344.96 1816.93,1345.09 1818.56,1345.35 1820.19,1345.74 1821.82,1345.74 \n",
       "  1823.45,1345.87 1825.08,1345.87 1826.71,1346.26 1828.33,1346.65 1829.96,1346.78 1831.59,1346.91 1833.22,1347.17 1834.85,1347.3 1836.48,1347.69 1838.11,1347.82 \n",
       "  1839.74,1347.56 1841.36,1347.56 1842.99,1348.08 1844.62,1347.82 1846.25,1347.82 1847.88,1347.43 1849.51,1347.69 1851.14,1347.69 1852.77,1347.56 1854.39,1347.69 \n",
       "  1856.02,1347.69 1857.65,1347.82 1859.28,1348.08 1860.91,1348.47 1862.54,1348.21 1864.17,1348.47 1865.8,1348.6 1867.42,1348.73 1869.05,1348.99 1870.68,1348.99 \n",
       "  1872.31,1349.12 1873.94,1349.25 1875.57,1349.25 1877.2,1349.25 1878.83,1349.64 1880.46,1349.77 1882.08,1349.64 1883.71,1349.77 1885.34,1350.03 1886.97,1350.03 \n",
       "  1888.6,1350.16 1890.23,1350.29 1891.86,1350.55 1893.49,1350.42 1895.11,1350.42 1896.74,1350.55 1898.37,1350.94 1900,1351.2 1901.63,1351.59 1903.26,1351.72 \n",
       "  1904.89,1351.98 1906.52,1352.24 1908.14,1352.37 1909.77,1352.9 1911.4,1353.29 1913.03,1353.42 1914.66,1353.29 1916.29,1353.68 1917.92,1353.94 1919.55,1354.07 \n",
       "  1921.18,1354.33 1922.8,1354.33 1924.43,1354.59 1926.06,1354.85 1927.69,1354.98 1929.32,1355.24 1930.95,1355.5 1932.58,1355.63 1934.21,1355.63 1935.83,1355.76 \n",
       "  1937.46,1355.89 1939.09,1355.76 1940.72,1355.63 1942.35,1355.89 1943.98,1356.02 1945.61,1356.02 1947.24,1356.54 1948.86,1356.54 1950.49,1356.67 1952.12,1356.8 \n",
       "  1953.75,1356.93 1955.38,1357.06 1957.01,1357.19 1958.64,1357.06 1960.27,1357.19 1961.89,1357.58 1963.52,1357.45 1965.15,1357.97 1966.78,1358.49 1968.41,1358.75 \n",
       "  1970.04,1359.01 1971.67,1358.75 1973.3,1358.88 1974.93,1358.88 1976.55,1358.88 1978.18,1359.01 1979.81,1359.14 1981.44,1359.01 1983.07,1359.01 1984.7,1359.01 \n",
       "  1986.33,1359.01 1987.96,1359.01 1989.58,1359.14 1991.21,1359.14 1992.84,1359.66 1994.47,1359.92 1996.1,1360.31 1997.73,1360.44 1999.36,1360.44 2000.99,1360.31 \n",
       "  2002.61,1360.31 2004.24,1360.18 2005.87,1360.31 2007.5,1360.44 2009.13,1360.57 2010.76,1360.71 2012.39,1360.84 2014.02,1361.1 2015.64,1361.36 2017.27,1361.36 \n",
       "  2018.9,1361.36 2020.53,1361.23 2022.16,1361.36 2023.79,1361.23 2025.42,1361.1 2027.05,1361.1 2028.68,1361.23 2030.3,1361.36 2031.93,1361.36 2033.56,1361.36 \n",
       "  2035.19,1361.23 2036.82,1361.36 2038.45,1361.23 2040.08,1361.36 2041.71,1361.1 2043.33,1361.1 2044.96,1361.23 2046.59,1361.36 2048.22,1361.36 2049.85,1361.36 \n",
       "  2051.48,1361.36 2053.11,1361.49 2054.74,1361.88 2056.36,1362.01 2057.99,1361.88 2059.62,1362.01 2061.25,1362.53 2062.88,1362.79 2064.51,1362.79 2066.14,1363.05 \n",
       "  2067.77,1363.57 2069.4,1363.57 2071.02,1363.7 2072.65,1363.83 2074.28,1364.09 2075.91,1364.09 2077.54,1364.09 2079.17,1364.35 2080.8,1364.35 2082.43,1364.48 \n",
       "  2084.05,1364.22 2085.68,1364.61 2087.31,1364.74 2088.94,1364.74 2090.57,1365 2092.2,1365 2093.83,1365.13 2095.46,1365.26 2097.08,1365.26 2098.71,1365.26 \n",
       "  2100.34,1365.26 2101.97,1365.39 2103.6,1365.52 2105.23,1365.52 2106.86,1365.65 2108.49,1365.78 2110.11,1366.04 2111.74,1366.3 2113.37,1366.56 2115,1366.56 \n",
       "  2116.63,1366.82 2118.26,1367.21 2119.89,1367.21 2121.52,1367.34 2123.15,1367.21 2124.77,1366.95 2126.4,1366.95 2128.03,1367.08 2129.66,1367.34 2131.29,1367.34 \n",
       "  2132.92,1367.73 2134.55,1367.99 2136.18,1367.99 2137.8,1368.25 2139.43,1368.25 2141.06,1367.99 2142.69,1368.25 2144.32,1368.25 2145.95,1368.25 2147.58,1368.12 \n",
       "  2149.21,1368.38 2150.83,1368.52 2152.46,1368.52 2154.09,1368.52 2155.72,1368.78 2157.35,1369.04 2158.98,1369.17 2160.61,1369.3 2162.24,1369.43 2163.86,1369.56 \n",
       "  2165.49,1369.43 2167.12,1369.43 2168.75,1369.43 2170.38,1369.56 2172.01,1369.56 2173.64,1369.69 2175.27,1369.82 2176.9,1369.56 2178.52,1369.69 2180.15,1369.69 \n",
       "  2181.78,1369.82 2183.41,1369.95 2185.04,1370.34 2186.67,1370.47 2188.3,1370.86 2189.93,1371.12 2191.55,1371.38 2193.18,1371.38 2194.81,1371.51 2196.44,1371.51 \n",
       "  2198.07,1371.51 2199.7,1371.38 2201.33,1371.51 2202.96,1371.51 2204.58,1371.51 2206.21,1371.51 2207.84,1371.64 2209.47,1371.64 2211.1,1371.9 2212.73,1371.9 \n",
       "  2214.36,1371.9 2215.99,1372.03 2217.62,1372.03 2219.24,1372.16 2220.87,1372.29 2222.5,1372.29 2224.13,1372.81 2225.76,1372.94 2227.39,1372.81 2229.02,1372.81 \n",
       "  2230.65,1372.55 2232.27,1372.55 2233.9,1372.68 2235.53,1372.68 2237.16,1372.68 2238.79,1372.68 2240.42,1372.55 2242.05,1372.42 2243.68,1372.81 2245.3,1372.81 \n",
       "  2246.93,1372.81 2248.56,1372.81 2250.19,1372.81 2251.82,1372.81 2253.45,1373.07 2255.08,1373.07 2256.71,1373.2 2258.33,1373.07 2259.96,1373.2 2261.59,1373.07 \n",
       "  2263.22,1373.07 2264.85,1372.94 2266.48,1372.94 2268.11,1373.07 2269.74,1373.07 2271.37,1373.33 2272.99,1373.46 2274.62,1373.33 2276.25,1373.33 2277.88,1373.33 \n",
       "  2279.51,1373.33 2281.14,1373.33 2282.77,1373.46 2284.4,1373.72 2286.02,1373.72 2287.65,1373.85 2289.28,1373.85 2290.91,1373.72 2292.54,1373.59 2294.17,1373.85 \n",
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       "  357.535,1386.61 359.164,1386.61 360.793,1386.61 362.422,1386.61 364.051,1386.61 365.679,1386.61 367.308,1386.61 368.937,1386.61 370.566,1386.61 372.195,1386.61 \n",
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       "  650.718,1367.99 652.347,1367.73 653.975,1367.21 655.604,1366.82 657.233,1366.69 658.862,1366.43 660.491,1366.04 662.119,1365.65 663.748,1365.13 665.377,1364.87 \n",
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       "  699.582,1350.55 701.21,1349.77 702.839,1348.86 704.468,1347.95 706.097,1347.17 707.726,1346.65 709.354,1346.13 710.983,1345.61 712.612,1343.91 714.241,1342.87 \n",
       "  715.87,1341.96 717.498,1340.92 719.127,1340.27 720.756,1339.62 722.385,1338.97 724.014,1338.06 725.642,1337.41 727.271,1337.15 728.9,1335.71 730.529,1335.06 \n",
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       "  1302.23,846.291 1303.86,845.64 1305.49,844.729 1307.12,844.208 1308.75,842.907 1310.38,841.996 1312.01,841.084 1313.64,840.434 1315.26,839.262 1316.89,838.481 \n",
       "  1318.52,837.83 1320.15,836.919 1321.78,836.138 1323.41,835.227 1325.04,834.186 1326.67,833.405 1328.3,831.843 1329.92,830.541 1331.55,829.76 1333.18,828.589 \n",
       "  1334.81,826.896 1336.44,826.376 1338.07,825.074 1339.7,823.642 1341.33,822.861 1342.95,821.429 1344.58,820.779 1346.21,819.998 1347.84,819.737 1349.47,819.086 \n",
       "  1351.1,818.045 1352.73,817.394 1354.36,816.223 1355.98,815.312 1357.61,814.4 1359.24,813.229 1360.87,812.448 1362.5,811.797 1364.13,811.407 1365.76,809.975 \n",
       "  1367.39,809.324 1369.01,808.283 1370.64,807.241 1372.27,806.07 1373.9,805.029 1375.53,804.508 1377.16,803.727 1378.79,803.336 1380.42,802.425 1382.05,801.905 \n",
       "  1383.67,801.124 1385.3,800.473 1386.93,799.822 1388.56,799.301 1390.19,798.911 1391.82,798.52 1393.45,798.26 1395.08,796.958 1396.7,796.698 1398.33,795.136 \n",
       "  1399.96,794.225 1401.59,793.704 1403.22,793.314 1404.85,792.272 1406.48,791.752 1408.11,791.361 1409.73,790.841 1411.36,788.888 1412.99,788.237 1414.62,787.586 \n",
       "  1416.25,787.066 1417.88,786.805 1419.51,786.024 1421.14,785.504 1422.76,784.853 1424.39,783.551 1426.02,783.031 1427.65,781.729 1429.28,780.557 1430.91,779.386 \n",
       "  1432.54,778.605 1434.17,778.084 1435.8,777.173 1437.42,776.522 1439.05,775.611 1440.68,774.7 1442.31,773.659 1443.94,773.268 1445.57,772.748 1447.2,771.316 \n",
       "  1448.83,770.665 1450.45,770.144 1452.08,768.973 1453.71,768.582 1455.34,768.452 1456.97,767.411 1458.6,766.63 1460.23,766.109 1461.86,765.588 1463.48,764.287 \n",
       "  1465.11,763.766 1466.74,762.985 1468.37,762.595 1470,761.423 1471.63,760.902 1473.26,760.642 1474.89,760.512 1476.52,759.731 1478.14,759.471 1479.77,758.95 \n",
       "  1481.4,758.429 1483.03,757.778 1484.66,757.518 1486.29,757.258 1487.92,756.998 1489.55,756.086 1491.17,755.436 1492.8,754.524 1494.43,754.004 1496.06,753.093 \n",
       "  1497.69,751.791 1499.32,750.75 1500.95,750.489 1502.58,749.969 1504.2,749.448 1505.83,748.276 1507.46,747.886 1509.09,746.845 1510.72,746.324 1512.35,745.413 \n",
       "  1513.98,745.152 1515.61,744.632 1517.23,744.111 1518.86,743.981 1520.49,743.33 1522.12,742.94 1523.75,742.419 1525.38,741.898 1527.01,741.378 1528.64,741.247 \n",
       "  1530.27,740.857 1531.89,740.336 1533.52,740.206 1535.15,739.165 1536.78,738.644 1538.41,738.124 1540.04,737.603 1541.67,737.082 1543.3,736.301 1544.92,735.13 \n",
       "  1546.55,734.479 1548.18,734.349 1549.81,733.828 1551.44,733.438 1553.07,732.396 1554.7,731.745 1556.33,731.095 1557.95,730.704 1559.58,729.663 1561.21,729.533 \n",
       "  1562.84,729.142 1564.47,728.752 1566.1,728.101 1567.73,727.45 1569.36,726.539 1570.98,726.018 1572.61,725.888 1574.24,725.107 1575.87,724.977 1577.5,724.716 \n",
       "  1579.13,723.805 1580.76,723.415 1582.39,722.504 1584.02,721.723 1585.64,721.202 1587.27,720.811 1588.9,720.031 1590.53,719.51 1592.16,719.119 1593.79,718.859 \n",
       "  1595.42,717.948 1597.05,717.818 1598.67,717.427 1600.3,716.907 1601.93,716.516 1603.56,716.126 1605.19,715.214 1606.82,714.954 1608.45,714.173 1610.08,713.783 \n",
       "  1611.7,713.522 1613.33,713.132 1614.96,712.611 1616.59,711.96 1618.22,711.57 1619.85,710.659 1621.48,710.268 1623.11,709.747 1624.74,709.357 1626.36,708.966 \n",
       "  1627.99,708.185 1629.62,708.055 1631.25,707.665 1632.88,707.274 1634.51,706.884 1636.14,706.623 1637.77,706.493 1639.39,706.233 1641.02,705.842 1642.65,705.582 \n",
       "  1644.28,705.322 1645.91,704.541 1647.54,703.76 1649.17,703.369 1650.8,702.849 1652.42,702.588 1654.05,702.328 1655.68,702.068 1657.31,701.547 1658.94,700.896 \n",
       "  1660.57,700.376 1662.2,699.595 1663.83,698.944 1665.45,698.423 1667.08,697.512 1668.71,696.601 1670.34,696.21 1671.97,695.299 1673.6,694.778 1675.23,694.518 \n",
       "  1676.86,694.388 1678.49,693.737 1680.11,693.477 1681.74,693.347 1683.37,692.956 1685,692.696 1686.63,691.915 1688.26,691.004 1689.89,691.004 1691.52,691.004 \n",
       "  1693.14,690.743 1694.77,690.353 1696.4,689.962 1698.03,689.051 1699.66,688.791 1701.29,688.27 1702.92,687.489 1704.55,687.099 1706.17,686.838 1707.8,686.708 \n",
       "  1709.43,686.057 1711.06,685.927 1712.69,685.667 1714.32,685.016 1715.95,684.756 1717.58,684.756 1719.2,684.495 1720.83,684.105 1722.46,683.844 1724.09,683.714 \n",
       "  1725.72,683.584 1727.35,682.413 1728.98,682.152 1730.61,681.762 1732.24,681.241 1733.86,681.241 1735.49,681.111 1737.12,680.59 1738.75,680.2 1740.38,679.94 \n",
       "  1742.01,679.419 1743.64,679.289 1745.27,679.289 1746.89,678.638 1748.52,677.987 1750.15,677.727 1751.78,677.206 1753.41,676.685 1755.04,676.425 1756.67,675.644 \n",
       "  1758.3,674.993 1759.92,674.473 1761.55,673.822 1763.18,673.692 1764.81,673.171 1766.44,672.78 1768.07,672.26 1769.7,671.739 1771.33,671.609 1772.96,671.479 \n",
       "  1774.58,671.349 1776.21,671.088 1777.84,671.088 1779.47,670.568 1781.1,669.917 1782.73,669.656 1784.36,669.396 1785.99,669.136 1787.61,668.875 1789.24,668.745 \n",
       "  1790.87,668.485 1792.5,667.704 1794.13,667.574 1795.76,667.053 1797.39,666.663 1799.02,666.532 1800.64,666.142 1802.27,666.142 1803.9,666.012 1805.53,665.882 \n",
       "  1807.16,665.491 1808.79,665.231 1810.42,665.101 1812.05,665.101 1813.67,664.84 1815.3,664.58 1816.93,664.32 1818.56,663.929 1820.19,663.539 1821.82,663.539 \n",
       "  1823.45,663.148 1825.08,663.018 1826.71,662.628 1828.33,662.237 1829.96,662.107 1831.59,661.847 1833.22,661.586 1834.85,661.456 1836.48,661.066 1838.11,660.805 \n",
       "  1839.74,660.675 1841.36,660.545 1842.99,660.024 1844.62,660.024 1846.25,659.894 1847.88,659.634 1849.51,659.113 1851.14,658.853 1852.77,658.853 1854.39,658.723 \n",
       "  1856.02,658.592 1857.65,658.332 1859.28,658.072 1860.91,657.551 1862.54,657.421 1864.17,657.03 1865.8,656.77 1867.42,656.51 1869.05,656.249 1870.68,656.119 \n",
       "  1872.31,655.859 1873.94,655.729 1875.57,655.729 1877.2,655.599 1878.83,655.208 1880.46,654.948 1882.08,654.948 1883.71,654.818 1885.34,654.427 1886.97,654.037 \n",
       "  1888.6,653.776 1890.23,653.516 1891.86,653.256 1893.49,653.125 1895.11,653.125 1896.74,652.865 1898.37,652.475 1900,652.214 1901.63,651.694 1903.26,651.563 \n",
       "  1904.89,651.303 1906.52,651.043 1908.14,650.913 1909.77,650.262 1911.4,649.741 1913.03,649.611 1914.66,649.481 1916.29,648.83 1917.92,648.439 1919.55,648.309 \n",
       "  1921.18,648.049 1922.8,647.919 1924.43,647.528 1926.06,647.268 1927.69,647.138 1929.32,646.747 1930.95,646.487 1932.58,646.227 1934.21,646.227 1935.83,645.966 \n",
       "  1937.46,645.836 1939.09,645.836 1940.72,645.836 1942.35,645.446 1943.98,645.055 1945.61,645.055 1947.24,644.535 1948.86,644.535 1950.49,644.404 1952.12,644.274 \n",
       "  1953.75,644.144 1955.38,643.884 1957.01,643.754 1958.64,643.623 1960.27,643.493 1961.89,643.103 1963.52,643.103 1965.15,642.582 1966.78,642.061 1968.41,641.801 \n",
       "  1970.04,641.411 1971.67,641.411 1973.3,641.28 1974.93,641.28 1976.55,641.15 1978.18,641.02 1979.81,640.89 1981.44,640.89 1983.07,640.76 1984.7,640.76 \n",
       "  1986.33,640.76 1987.96,640.76 1989.58,640.63 1991.21,640.369 1992.84,639.849 1994.47,639.588 1996.1,639.198 1997.73,639.068 1999.36,638.937 2000.99,638.807 \n",
       "  2002.61,638.677 2004.24,638.677 2005.87,638.547 2007.5,638.287 2009.13,638.156 2010.76,637.896 2012.39,637.766 2014.02,637.506 2015.64,637.245 2017.27,637.115 \n",
       "  2018.9,637.115 2020.53,637.115 2022.16,636.855 2023.79,636.855 2025.42,636.855 2027.05,636.725 2028.68,636.594 2030.3,636.204 2031.93,636.204 2033.56,636.204 \n",
       "  2035.19,636.204 2036.82,635.944 2038.45,635.944 2040.08,635.813 2041.71,635.813 2043.33,635.813 2044.96,635.683 2046.59,635.553 2048.22,635.553 2049.85,635.423 \n",
       "  2051.48,635.293 2053.11,635.032 2054.74,634.642 2056.36,634.382 2057.99,634.251 2059.62,634.121 2061.25,633.601 2062.88,633.34 2064.51,633.34 2066.14,633.08 \n",
       "  2067.77,632.559 2069.4,632.559 2071.02,632.429 2072.65,632.299 2074.28,632.039 2075.91,632.039 2077.54,631.908 2079.17,631.648 2080.8,631.518 2082.43,631.258 \n",
       "  2084.05,631.258 2085.68,630.867 2087.31,630.737 2088.94,630.607 2090.57,630.346 2092.2,630.346 2093.83,630.216 2095.46,630.086 2097.08,630.086 2098.71,630.086 \n",
       "  2100.34,630.086 2101.97,629.826 2103.6,629.696 2105.23,629.696 2106.86,629.435 2108.49,629.305 2110.11,628.915 2111.74,628.654 2113.37,628.264 2115,628.264 \n",
       "  2116.63,628.003 2118.26,627.613 2119.89,627.613 2121.52,627.483 2123.15,627.353 2124.77,627.353 2126.4,627.223 2128.03,627.092 2129.66,626.832 2131.29,626.832 \n",
       "  2132.92,626.442 2134.55,626.181 2136.18,626.181 2137.8,625.921 2139.43,625.791 2141.06,625.791 2142.69,625.53 2144.32,625.4 2145.95,625.27 2147.58,625.27 \n",
       "  2149.21,624.88 2150.83,624.619 2152.46,624.619 2154.09,624.489 2155.72,624.229 2157.35,623.968 2158.98,623.838 2160.61,623.708 2162.24,623.578 2163.86,623.448 \n",
       "  2165.49,623.448 2167.12,623.448 2168.75,623.448 2170.38,623.318 2172.01,623.318 2173.64,623.187 2175.27,623.057 2176.9,623.057 2178.52,622.927 2180.15,622.927 \n",
       "  2181.78,622.797 2183.41,622.667 2185.04,622.276 2186.67,622.146 2188.3,621.756 2189.93,621.495 2191.55,621.235 2193.18,621.235 2194.81,620.975 2196.44,620.975 \n",
       "  2198.07,620.844 2199.7,620.844 2201.33,620.714 2202.96,620.714 2204.58,620.714 2206.21,620.714 2207.84,620.584 2209.47,620.454 2211.1,620.194 2212.73,620.194 \n",
       "  2214.36,620.194 2215.99,619.933 2217.62,619.933 2219.24,619.803 2220.87,619.543 2222.5,619.543 2224.13,618.892 2225.76,618.762 2227.39,618.762 2229.02,618.762 \n",
       "  2230.65,618.762 2232.27,618.762 2233.9,618.632 2235.53,618.501 2237.16,618.501 2238.79,618.371 2240.42,618.371 2242.05,618.371 2243.68,617.981 2245.3,617.981 \n",
       "  2246.93,617.851 2248.56,617.851 2250.19,617.851 2251.82,617.851 2253.45,617.59 2255.08,617.59 2256.71,617.46 2258.33,617.46 2259.96,617.33 2261.59,617.33 \n",
       "  2263.22,617.33 2264.85,617.33 2266.48,617.2 2268.11,617.07 2269.74,617.07 2271.37,616.809 2272.99,616.679 2274.62,616.679 2276.25,616.679 2277.88,616.679 \n",
       "  2279.51,616.679 2281.14,616.679 2282.77,616.549 2284.4,616.289 2286.02,616.289 2287.65,616.158 2289.28,616.158 2290.91,616.158 2292.54,616.158 2294.17,615.898 \n",
       "  \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip4400)\" d=\"\n",
       "M1791.95 433.164 L2280.76 433.164 L2280.76 130.764 L1791.95 130.764  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip4400)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1791.95,433.164 2280.76,433.164 2280.76,130.764 1791.95,130.764 1791.95,433.164 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip4400)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1815.95,191.244 1959.95,191.244 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip4400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1983.95, 208.744)\" x=\"1983.95\" y=\"208.744\">Susceptible</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip4400)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1815.95,251.724 1959.95,251.724 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip4400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1983.95, 269.224)\" x=\"1983.95\" y=\"269.224\">Exposed</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip4400)\" style=\"stroke:#3da44d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1815.95,312.204 1959.95,312.204 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip4400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1983.95, 329.704)\" x=\"1983.95\" y=\"329.704\">Infectious</text>\n",
       "</g>\n",
       "<polyline clip-path=\"url(#clip4400)\" style=\"stroke:#c271d2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1815.95,372.684 1959.95,372.684 \n",
       "  \"/>\n",
       "<g clip-path=\"url(#clip4400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 1983.95, 390.184)\" x=\"1983.95\" y=\"390.184\">Recovered</text>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(susceptible, label=\"Susceptible\")\n",
    "plot!(exposed, label=\"Exposed\")\n",
    "plot!(infectious, label=\"Infectious\")\n",
    "plot!(recovered, label=\"Recovered\",xlabel=\"Epoch\",ylabel=\"Number\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "mimetype": "application/julia",
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