{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Collinear spin and magnetic systems\n",
    "\n",
    "In this example we consider iron in the BCC phase.\n",
    "To show that this material is ferromagnetic we will model it once\n",
    "allowing collinear spin polarization and once without\n",
    "and compare the resulting SCF energies. In particular\n",
    "the ground state can only be found if collinear spins are allowed.\n",
    "\n",
    "First we setup BCC iron without spin polarization\n",
    "using a single iron atom inside the unit cell."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using DFTK\n",
    "\n",
    "a = 5.42352  # Bohr\n",
    "lattice = a / 2 * [[-1  1  1];\n",
    "                   [ 1 -1  1];\n",
    "                   [ 1  1 -1]]\n",
    "Fe = ElementPsp(:Fe, psp=load_psp(\"hgh/lda/Fe-q8.hgh\"))\n",
    "atoms = [Fe => [zeros(3)]];"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "To get the ground-state energy we use an LDA model and rather moderate\n",
    "discretisation parameters."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n     Free energy       Eₙ-Eₙ₋₁     ρout-ρin   Diag\n",
      "---   ---------------   ---------   --------   ----\n",
      "  1   -16.64708732170         NaN   3.28e-01    5.0 \n",
      "  2   -16.64775318371   -6.66e-04   7.80e-02    1.0 \n",
      "  3   -16.64782279277   -6.96e-05   3.31e-03    1.8 \n",
      "  4   -16.64783256813   -9.78e-06   1.99e-03    3.0 \n",
      "  5   -16.64783415769   -1.59e-06   4.08e-04    1.0 \n",
      "  6   -16.64783430211   -1.44e-07   1.24e-04    2.0 \n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "kgrid = [3, 3, 3]  # k-point grid (Regular Monkhorst-Pack grid)\n",
    "Ecut = 15          # kinetic energy cutoff in Hartree\n",
    "model_nospin = model_LDA(lattice, atoms, temperature=0.01)\n",
    "basis_nospin = PlaneWaveBasis(model_nospin, Ecut; kgrid=kgrid)\n",
    "\n",
    "scfres_nospin = self_consistent_field(basis_nospin, tol=1e-6, mixing=KerkerMixing());"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Energy breakdown:\n    Kinetic             15.9215670\n    AtomicLocal         -5.0696477\n    AtomicNonlocal      -5.2206870\n    Ewald               -21.4723040\n    PspCorrection       1.8758831 \n    Hartree             0.7794347 \n    Xc                  -3.4437925\n    Entropy             -0.0182879\n\n    total               -16.647834302113\n"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "cell_type": "code",
   "source": [
    "scfres_nospin.energies"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "Since we did not specify any initial magnetic moment on the iron atom,\n",
    "DFTK will automatically assume that a calculation with only spin-paired\n",
    "electrons should be performed. As a result the obtained ground state\n",
    "features no spin-polarization."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Now we repeat the calculation, but give the iron atom an initial magnetic moment.\n",
    "For specifying the magnetic moment pass the desired excess of spin-up over spin-down\n",
    "electrons at each centre to the `Model` and the guess density functions.\n",
    "In this case we seek the state with as many spin-parallel\n",
    "``d``-electrons as possible. In our pseudopotential model the 8 valence\n",
    "electrons are 2 pair of ``s``-electrons, 1 pair of ``d``-electrons\n",
    "and 4 unpaired ``d``-electrons giving a desired magnetic moment of `4` at the iron centre.\n",
    "The structure (i.e. pair mapping and order) of the `magnetic_moments` array needs to agree\n",
    "with the `atoms` array and `0` magnetic moments need to be specified as well."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "magnetic_moments = [Fe => [4, ]];"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "!!! tip \"Units of the magnetisation and magnetic moments in DFTK\"\n",
    "    Unlike all other quantities magnetisation and magnetic moments in DFTK\n",
    "    are given in units of the Bohr magneton ``μ_B``, which in atomic units has the\n",
    "    value ``\\frac{1}{2}``. Since ``μ_B`` is (roughly) the magnetic moment of\n",
    "    a single electron the advantage is that one can directly think of these\n",
    "    quantities as the excess of spin-up electrons or spin-up electron density.\n",
    "\n",
    "We repeat the calculation using the same model as before. DFTK now detects\n",
    "the non-zero moment and switches to a collinear calculation."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n     Free energy       Eₙ-Eₙ₋₁     ρout-ρin   Magnet   Diag\n",
      "---   ---------------   ---------   --------   ------   ----\n",
      "  1   -16.65998124633         NaN   3.41e-01    2.620    4.5 \n",
      "  2   -16.66626168792   -6.28e-03   6.92e-02    2.428    1.0 \n",
      "  3   -16.66693986495   -6.78e-04   8.45e-03    2.349    2.3 \n",
      "  4   -16.66698649599   -4.66e-05   3.62e-03    2.320    2.1 \n",
      "  5   -16.66699463706   -8.14e-06   6.63e-04    2.309    2.0 \n",
      "  6   -16.66699628351   -1.65e-06   3.72e-04    2.301    2.1 \n",
      "  7   -16.66699652132   -2.38e-07   2.50e-05    2.297    1.9 \n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "model = model_LDA(lattice, atoms, magnetic_moments=magnetic_moments, temperature=0.01)\n",
    "basis = PlaneWaveBasis(model, Ecut; kgrid=kgrid)\n",
    "ρspin = guess_spin_density(basis, magnetic_moments)\n",
    "scfres = self_consistent_field(basis, tol=1e-6, ρspin=ρspin, mixing=KerkerMixing());"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Energy breakdown:\n    Kinetic             16.3014882\n    AtomicLocal         -5.2260199\n    AtomicNonlocal      -5.4135697\n    Ewald               -21.4723040\n    PspCorrection       1.8758831 \n    Hartree             0.8201288 \n    Xc                  -3.5395240\n    Entropy             -0.0130790\n\n    total               -16.666996521316\n"
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "cell_type": "code",
   "source": [
    "scfres.energies"
   ],
   "metadata": {},
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "source": [
    "!!! note \"Model and magnetic moments\"\n",
    "    DFTK does not store the `magnetic_moments` inside the `Model`, but only uses them\n",
    "    to determine the lattice symmetries. This step was taken to keep `Model`\n",
    "    (which contains the physical model) independent of the details of the numerical details\n",
    "    such as the initial guess for the spin density.\n",
    "\n",
    "In direct comparison we notice the first, spin-paired calculation to be\n",
    "a little higher in energy"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No magnetization: -16.64783430211281\n",
      "Magnetic case:    -16.666996521315998\n",
      "Difference:       -0.019162219203188613\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "println(\"No magnetization: \", scfres_nospin.energies.total)\n",
    "println(\"Magnetic case:    \", scfres.energies.total)\n",
    "println(\"Difference:       \", scfres.energies.total - scfres_nospin.energies.total);"
   ],
   "metadata": {},
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "source": [
    "Notice that with the small cutoffs we use to generate the online\n",
    "documentation the calculation is far from converged.\n",
    "With more realistic parameters a larger energy difference of about\n",
    "0.1 Hartree is obtained."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "The spin polarization in the magnetic case is visible if we\n",
    "consider the occupation of the spin-up and spin-down Kohn-Sham orbitals.\n",
    "Especially for the ``d``-orbitals these differ rather drastically.\n",
    "For example for the first ``k``-point:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(scfres.occupation[iup])[1:7] = [1.0, 0.9999988139689593, 0.9999988139612348, 0.9999988139445563, 0.9585673791988384, 0.9585668796136337, 1.1540079785367461e-29]\n",
      "(scfres.occupation[idown])[1:7] = [1.0, 0.8326826261828263, 0.8326805017856539, 0.8326792520478095, 7.840289089817195e-6, 7.84019475042066e-6, 1.5497931141714043e-32]\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "iup   = 1\n",
    "idown = iup + length(scfres.basis.kpoints) ÷ 2\n",
    "@show scfres.occupation[iup][1:7]\n",
    "@show scfres.occupation[idown][1:7];"
   ],
   "metadata": {},
   "execution_count": 8
  },
  {
   "cell_type": "markdown",
   "source": [
    "Similarly the eigenvalues differ"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(scfres.eigenvalues[iup])[1:7] = [-0.06926618424468207, 0.35688291356907764, 0.3568829786978953, 0.3568831193215683, 0.46191816912127137, 0.4619182949100824, 1.1596491487097627]\n",
      "(scfres.eigenvalues[idown])[1:7] = [-0.030407370124734448, 0.47728428138314927, 0.47728443386317937, 0.4772845235632276, 0.6108941526628173, 0.6108942729909107, 1.2257778978453593]\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "@show scfres.eigenvalues[iup][1:7]\n",
    "@show scfres.eigenvalues[idown][1:7];"
   ],
   "metadata": {},
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "source": [
    "!!! note \"k-points in collinear calculations\"\n",
    "    For collinear calculations the `kpoints` field of the `PlaneWaveBasis` object contains\n",
    "    each ``k``-point coordinate twice, once associated with spin-up and once with down-down.\n",
    "    The list first contains all spin-up ``k``-points and then all spin-down ``k``-points,\n",
    "    such that `iup` and `idown` index the same ``k``-point, but differing spins."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "We can observe the spin-polarization by looking at the density of states (DOS)\n",
    "around the Fermi level, where the spin-up and spin-down DOS differ."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=3}",
      "image/png": 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       "  343.686,1479.3 345.826,1479.3 347.966,1479.3 350.105,1479.3 352.245,1479.3 354.385,1479.3 356.524,1479.3 358.664,1479.3 360.803,1479.3 362.943,1479.3 \n",
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       "  450.669,1479.28 452.809,1479.28 454.948,1479.27 457.088,1479.26 459.227,1479.25 461.367,1479.23 463.507,1479.21 465.646,1479.18 467.786,1479.13 469.926,1479.08 \n",
       "  472.065,1479 474.205,1478.91 476.345,1478.77 478.484,1478.6 480.624,1478.36 482.764,1478.05 484.903,1477.63 487.043,1477.09 489.183,1476.37 491.322,1475.44 \n",
       "  493.462,1474.23 495.602,1472.7 497.741,1470.77 499.881,1468.4 502.021,1465.59 504.16,1462.36 506.3,1458.83 508.44,1455.24 510.579,1451.92 512.719,1449.26 \n",
       "  514.858,1447.63 516.998,1447.3 519.138,1448.31 521.277,1450.5 523.417,1453.55 525.557,1457.05 527.696,1460.64 529.836,1464.04 531.976,1467.06 534.115,1469.65 \n",
       "  536.255,1471.78 538.395,1473.5 540.534,1474.86 542.674,1475.91 544.814,1476.71 546.953,1477.32 549.093,1477.78 551.233,1478.11 553.372,1478.35 555.512,1478.5 \n",
       "  557.652,1478.59 559.791,1478.62 561.931,1478.58 564.07,1478.49 566.21,1478.33 568.35,1478.08 570.489,1477.74 572.629,1477.25 574.769,1476.59 576.908,1475.7 \n",
       "  579.048,1474.51 581.188,1472.91 583.327,1470.77 585.467,1467.92 587.607,1464.13 589.746,1459.11 591.886,1452.48 594.026,1443.79 596.165,1432.47 598.305,1417.86 \n",
       "  600.445,1399.25 602.584,1375.93 604.724,1347.34 606.864,1313.32 609.003,1274.37 611.143,1232 613.282,1188.99 615.422,1149.34 617.562,1117.79 619.701,1098.83 \n",
       "  621.841,1095.45 623.981,1108.2 626.12,1135.02 628.26,1171.89 630.4,1214.05 632.539,1257.08 634.679,1297.67 636.819,1333.82 638.958,1364.62 641.098,1390.02 \n",
       "  643.238,1410.43 645.377,1426.52 647.517,1439 649.657,1448.55 651.796,1455.75 653.936,1461.1 656.076,1464.98 658.215,1467.68 660.355,1469.41 662.494,1470.31 \n",
       "  664.634,1470.46 666.774,1469.86 668.913,1468.48 671.053,1466.22 673.193,1462.92 675.332,1458.36 677.472,1452.26 679.612,1444.31 681.751,1434.14 683.891,1421.43 \n",
       "  686.031,1405.97 688.17,1387.78 690.31,1367.3 692.45,1345.51 694.589,1324.03 696.729,1305.05 698.869,1290.9 701.008,1283.52 703.148,1283.89 705.288,1291.6 \n",
       "  707.427,1305.03 709.567,1321.74 711.707,1339.1 713.846,1354.77 715.986,1366.92 718.125,1374.22 720.265,1375.69 722.405,1370.5 724.544,1357.83 726.684,1336.71 \n",
       "  728.824,1306.04 730.963,1264.7 733.103,1211.71 735.243,1146.7 737.382,1070.44 739.522,985.463 741.662,896.605 743.801,811.012 745.941,737.351 748.081,684.045 \n",
       "  750.22,656.98 752.36,657.544 754.5,681.977 756.639,722.381 758.779,768.942 760.919,812.393 763.058,845.902 765.198,866.024 767.337,872.809 769.477,869.296 \n",
       "  771.617,860.639 773.756,853.011 775.896,852.443 778.036,863.693 780.175,889.312 782.315,929.113 784.455,980.278 786.594,1038.14 788.734,1097.34 790.874,1152.97 \n",
       "  793.013,1201.25 795.153,1239.72 797.293,1267.04 799.432,1282.66 801.572,1286.49 803.712,1278.72 805.851,1259.82 807.991,1230.68 810.131,1192.96 812.27,1149.4 \n",
       "  814.41,1104.01 816.549,1061.92 818.689,1028.71 820.829,1009.28 822.968,1006.67 825.108,1021.3 827.248,1050.99 829.387,1091.65 831.527,1138.41 833.667,1186.53 \n",
       "  835.806,1232.12 837.946,1272.38 840.086,1305.64 842.225,1331.04 844.365,1348.29 846.505,1357.36 848.644,1358.28 850.784,1351.03 852.924,1335.5 855.063,1311.59 \n",
       "  857.203,1279.43 859.343,1239.66 861.482,1193.75 863.622,1144.24 865.762,1094.68 867.901,1049.13 870.041,1011.12 872.18,982.467 874.32,962.343 876.46,947.264 \n",
       "  878.599,931.978 880.739,910.991 882.879,880.153 885.018,837.848 887.158,785.518 889.298,727.404 891.437,669.45 893.577,617.552 895.717,575.66 897.856,544.507 \n",
       "  899.996,521.5 902.136,501.723 904.275,479.425 906.415,449.36 908.555,407.787 910.694,353.359 912.834,288.065 914.974,217.974 917.113,153.135 919.253,106.076 \n",
       "  921.392,88.9544 923.532,110.271 925.672,172.468 927.811,271.383 929.951,397.627 932.091,539.161 934.23,684.007 936.37,822.301 938.51,947.296 940.649,1055.41 \n",
       "  942.789,1145.64 944.929,1218.74 947.068,1276.46 949.208,1320.93 951.348,1354.24 953.487,1378.26 955.627,1394.49 957.767,1404.09 959.906,1407.82 962.046,1406.16 \n",
       "  964.186,1399.36 966.325,1387.52 968.465,1370.79 970.604,1349.53 972.744,1324.58 974.884,1297.47 977.023,1270.55 979.163,1246.86 981.303,1229.64 983.442,1221.64 \n",
       "  985.582,1224.24 987.722,1237.1 989.861,1258.21 992.001,1284.6 994.141,1313.1 996.28,1341.02 998.42,1366.5 1000.56,1388.49 1002.7,1406.61 1004.84,1420.88 \n",
       "  1006.98,1431.58 1009.12,1439.04 1011.26,1443.55 1013.4,1445.29 1015.54,1444.33 1017.68,1440.57 1019.82,1433.72 1021.96,1423.34 1024.1,1408.8 1026.24,1389.32 \n",
       "  1028.38,1364.02 1030.51,1332.05 1032.65,1292.81 1034.79,1246.26 1036.93,1193.35 1039.07,1136.47 1041.21,1079.7 1043.35,1028.7 1045.49,989.837 1047.63,968.806 \n",
       "  1049.77,968.977 1051.91,990.312 1054.05,1029.38 1056.19,1080.45 1058.33,1137.15 1060.47,1193.83 1062.61,1246.44 1064.75,1292.59 1066.89,1331.33 1069.03,1362.69 \n",
       "  1071.17,1387.24 1073.31,1405.78 1075.45,1419.12 1077.59,1427.94 1079.73,1432.75 1081.87,1433.87 1084.01,1431.36 1086.15,1425.13 1088.29,1414.84 1090.43,1400.02 \n",
       "  1092.56,1380.09 1094.7,1354.51 1096.84,1322.95 1098.98,1285.53 1101.12,1243.23 1103.26,1198.11 1105.4,1153.49 1107.54,1113.64 1109.68,1083.02 1111.82,1065.05 \n",
       "  1113.96,1061.01 1116.1,1069.42 1118.24,1086.37 1120.38,1106.55 1122.52,1124.59 1124.66,1136.19 1126.8,1138.75 1128.94,1131.72 1131.08,1116.64 1133.22,1096.96 \n",
       "  1135.36,1077.61 1137.5,1064.08 1139.64,1061.18 1141.78,1071.78 1143.92,1096.03 1146.06,1131.52 1148.2,1174.17 1150.34,1219.49 1152.47,1263.58 1154.61,1303.71 \n",
       "  1156.75,1338.37 1158.89,1367.02 1161.03,1389.78 1163.17,1407.11 1165.31,1419.61 1167.45,1427.82 1169.59,1432.18 1171.73,1432.98 1173.87,1430.38 1176.01,1424.38 \n",
       "  1178.15,1414.96 1180.29,1402.12 1182.43,1386.03 1184.57,1367.2 1186.71,1346.66 1188.85,1326.06 1190.99,1307.59 1193.13,1293.7 1195.27,1286.49 1197.41,1287.17 \n",
       "  1199.55,1295.65 1201.69,1310.57 1203.83,1329.74 1205.97,1350.76 1208.11,1371.51 1210.25,1390.47 1212.39,1406.74 1214.52,1419.92 1216.66,1429.94 1218.8,1436.89 \n",
       "  1220.94,1440.88 1223.08,1442 1225.22,1440.18 1227.36,1435.21 1229.5,1426.67 1231.64,1413.93 1233.78,1396.1 1235.92,1372.01 1238.06,1340.25 1240.2,1299.21 \n",
       "  1242.34,1247.23 1244.48,1182.87 1246.62,1105.31 1248.76,1014.98 1250.9,914.242 1253.04,807.924 1255.18,703.528 1257.32,610.665 1259.46,539.627 1261.6,499.341 \n",
       "  1263.74,495.258 1265.88,527.967 1268.02,593.027 1270.16,682.117 1272.3,785.044 1274.44,891.878 1276.57,994.564 1278.71,1087.67 1280.85,1168.37 1282.99,1235.89 \n",
       "  1285.13,1290.87 1287.27,1334.7 1289.41,1369.09 1291.55,1395.73 1293.69,1416.19 1295.83,1431.78 1297.97,1443.6 1300.11,1452.52 1302.25,1459.24 1304.39,1464.29 \n",
       "  1306.53,1468.08 1308.67,1470.91 1310.81,1473.03 1312.95,1474.62 1315.09,1475.8 1317.23,1476.69 1319.37,1477.35 1321.51,1477.84 1323.65,1478.21 1325.79,1478.49 \n",
       "  1327.93,1478.69 1330.07,1478.84 1332.21,1478.95 1334.35,1479.04 1336.49,1479.1 1338.62,1479.14 1340.76,1479.17 1342.9,1479.19 1345.04,1479.19 1347.18,1479.19 \n",
       "  1349.32,1479.18 1351.46,1479.16 1353.6,1479.13 1355.74,1479.09 1357.88,1479.02 1360.02,1478.93 1362.16,1478.81 1364.3,1478.65 1366.44,1478.44 1368.58,1478.14 \n",
       "  1370.72,1477.76 1372.86,1477.23 1375,1476.54 1377.14,1475.61 1379.28,1474.37 1381.42,1472.72 1383.56,1470.53 1385.7,1467.63 1387.84,1463.81 1389.98,1458.8 \n",
       "  1392.12,1452.29 1394.26,1443.89 1396.4,1433.2 1398.54,1419.82 1400.67,1403.39 1402.81,1383.74 1404.95,1360.96 1407.09,1335.54 1409.23,1308.44 1411.37,1281.08 \n",
       "  1413.51,1255.21 1415.65,1232.74 1417.79,1215.55 1419.93,1205.19 1422.07,1202.65 1424.21,1208.05 1426.35,1220.41 1428.49,1237.75 1430.63,1257.52 1432.77,1277.16 \n",
       "  1434.91,1294.67 1437.05,1309 1439.19,1320.1 1441.33,1328.76 1443.47,1336.34 1445.61,1344.25 1447.75,1353.57 1449.89,1364.76 1452.03,1377.57 1454.17,1391.3 \n",
       "  1456.31,1405.02 1458.45,1417.92 1460.58,1429.41 1462.72,1439.16 1464.86,1447.09 1467,1453.25 1469.14,1457.78 1471.28,1460.82 1473.42,1462.48 1475.56,1462.83 \n",
       "  1477.7,1461.84 1479.84,1459.42 1481.98,1455.38 1484.12,1449.41 1486.26,1441.08 1488.4,1429.83 1490.54,1414.97 1492.68,1395.7 1494.82,1371.16 1496.96,1340.54 \n",
       "  1499.1,1303.29 1501.24,1259.38 1503.38,1209.67 1505.52,1156.18 1507.66,1102.27 1509.8,1052.31 1511.94,1011.01 1514.08,982.345 1516.22,968.61 1518.36,970.09 \n",
       "  1520.5,985.377 1522.63,1012.11 1524.77,1047.61 1526.91,1089.11 1529.05,1133.81 1531.19,1178.81 1533.33,1221.35 1535.47,1259.01 1537.61,1289.95 1539.75,1312.91 \n",
       "  1541.89,1327.06 1544.03,1331.8 1546.17,1326.54 1548.31,1310.52 1550.45,1282.75 1552.59,1242.03 1554.73,1187.14 1556.87,1117.22 1559.01,1032.31 1561.15,934.137 \n",
       "  1563.29,826.839 1565.43,717.404 1567.57,615.32 1569.71,531.086 1571.85,473.73 1573.99,448.188 1576.13,453.803 1578.27,484.865 1580.41,532.999 1582.55,590.206 \n",
       "  1584.68,651.15 1586.82,713.807 1588.96,778.562 1591.1,846.454 1593.24,917.609 1595.38,990.542 1597.52,1062.46 1599.66,1130.12 1601.8,1190.73 1603.94,1242.39 \n",
       "  1606.08,1284.21 1608.22,1316.07 1610.36,1338.35 1612.5,1351.62 1614.64,1356.51 1616.78,1353.64 1618.92,1343.67 1621.06,1327.49 1623.2,1306.41 1625.34,1282.42 \n",
       "  1627.48,1258.25 1629.62,1237.2 1631.76,1222.63 1633.9,1217.2 1636.04,1222.09 1638.18,1236.69 1640.32,1258.8 1642.46,1285.32 1644.6,1313.1 1646.73,1339.52 \n",
       "  1648.87,1362.76 1651.01,1381.77 1653.15,1396.05 1655.29,1405.48 1657.43,1410.03 1659.57,1409.66 1661.71,1404.24 1663.85,1393.45 1665.99,1376.86 1668.13,1353.99 \n",
       "  1670.27,1324.46 1672.41,1288.25 1674.55,1246.03 1676.69,1199.52 1678.83,1151.75 1680.97,1106.99 1683.11,1070.24 1685.25,1046.18 1687.39,1037.88 1689.53,1045.87 \n",
       "  1691.67,1068.07 1693.81,1100.51 1695.95,1138.63 1698.09,1178.44 1700.23,1217.13 1702.37,1253.1 1704.51,1285.54 1706.64,1314.08 1708.78,1338.41 1710.92,1358.21 \n",
       "  1713.06,1373.15 1715.2,1382.91 1717.34,1387.2 1719.48,1385.7 1721.62,1378.09 1723.76,1363.95 1725.9,1342.94 1728.04,1314.85 1730.18,1279.87 1732.32,1238.95 \n",
       "  1734.46,1194.05 1736.6,1148.36 1738.74,1106.05 1740.88,1071.64 1743.02,1048.84 1745.16,1039.45 1747.3,1042.7 1749.44,1055.64 1751.58,1074.13 1753.72,1094.33 \n",
       "  1755.86,1113.69 1758,1131.45 1760.14,1148.29 1762.28,1165.52 1764.42,1184.16 1766.56,1204.26 1768.69,1224.75 1770.83,1243.81 1772.97,1259.44 1775.11,1270.08 \n",
       "  1777.25,1275.04 1779.39,1274.67 1781.53,1270.4 1783.67,1264.56 1785.81,1259.93 1787.95,1259.18 1790.09,1264.14 1792.23,1275.34 1794.37,1291.93 1796.51,1312.03 \n",
       "  1798.65,1333.33 1800.79,1353.68 1802.93,1371.35 1805.07,1385.2 1807.21,1394.49 1809.35,1398.77 1811.49,1397.65 1813.63,1390.69 1815.77,1377.29 1817.91,1356.66 \n",
       "  1820.05,1327.83 1822.19,1289.79 1824.33,1241.68 1826.47,1183.15 1828.61,1114.79 1830.74,1038.58 1832.88,958.194 1835.02,878.791 1837.16,806.324 1839.3,746.272 \n",
       "  1841.44,702.401 1843.58,676.133 1845.72,666.824 1847.86,672.63 1850,691.26 1852.14,720.171 1854.28,756.357 1856.42,796.285 1858.56,836.348 1860.7,873.69 \n",
       "  1862.84,906.887 1864.98,936.011 1867.12,962.001 1869.26,985.675 1871.4,1006.92 1873.54,1024.52 1875.68,1036.7 1877.82,1042.09 1879.96,1040.67 1882.1,1034.35 \n",
       "  1884.24,1026.9 1886.38,1023.2 1888.52,1027.99 1890.66,1044.44 1892.79,1073.23 1894.93,1112.44 1897.07,1158.37 1899.21,1206.73 1901.35,1253.75 1903.49,1296.72 \n",
       "  1905.63,1334.15 1907.77,1365.57 1909.91,1391.21 1912.05,1411.68 1914.19,1427.75 1916.33,1440.21 1918.47,1449.77 1920.61,1457.07 1922.75,1462.6 1924.89,1466.77 \n",
       "  1927.03,1469.91 1929.17,1472.28 1931.31,1474.05 1933.45,1475.37 1935.59,1476.37 1937.73,1477.11 1939.87,1477.66 1942.01,1478.08 1944.15,1478.39 1946.29,1478.62 \n",
       "  1948.43,1478.79 1950.57,1478.92 1952.71,1479.02 1954.84,1479.09 1956.98,1479.14 1959.12,1479.18 1961.26,1479.21 1963.4,1479.23 1965.54,1479.25 1967.68,1479.26 \n",
       "  1969.82,1479.27 1971.96,1479.28 1974.1,1479.28 1976.24,1479.29 1978.38,1479.29 1980.52,1479.29 1982.66,1479.29 1984.8,1479.29 1986.94,1479.29 1989.08,1479.3 \n",
       "  1991.22,1479.3 1993.36,1479.3 1995.5,1479.3 1997.64,1479.3 1999.78,1479.3 2001.92,1479.3 2004.06,1479.3 2006.2,1479.3 2008.34,1479.3 2010.48,1479.3 \n",
       "  2012.62,1479.3 2014.75,1479.3 2016.89,1479.3 2019.03,1479.3 2021.17,1479.3 2023.31,1479.3 2025.45,1479.3 2027.59,1479.3 2029.73,1479.3 2031.87,1479.3 \n",
       "  2034.01,1479.3 2036.15,1479.3 2038.29,1479.3 2040.43,1479.3 2042.57,1479.3 2044.71,1479.3 2046.85,1479.3 2048.99,1479.3 2051.13,1479.3 2053.27,1479.3 \n",
       "  2055.41,1479.3 2057.55,1479.3 2059.69,1479.3 2061.83,1479.3 2063.97,1479.3 2066.11,1479.3 2068.25,1479.3 2070.39,1479.3 2072.53,1479.3 2074.67,1479.3 \n",
       "  2076.8,1479.3 2078.94,1479.3 2081.08,1479.3 2083.22,1479.3 2085.36,1479.3 2087.5,1479.3 2089.64,1479.3 2091.78,1479.3 2093.92,1479.3 2096.06,1479.3 \n",
       "  2098.2,1479.3 2100.34,1479.3 2102.48,1479.3 2104.62,1479.3 2106.76,1479.3 2108.9,1479.3 2111.04,1479.3 2113.18,1479.3 2115.32,1479.3 2117.46,1479.3 \n",
       "  2119.6,1479.3 2121.74,1479.3 2123.88,1479.3 2126.02,1479.3 2128.16,1479.3 2130.3,1479.3 2132.44,1479.3 2134.58,1479.3 2136.72,1479.3 2138.85,1479.3 \n",
       "  2140.99,1479.3 2143.13,1479.3 2145.27,1479.3 2147.41,1479.3 2149.55,1479.3 2151.69,1479.3 2153.83,1479.3 2155.97,1479.3 2158.11,1479.3 2160.25,1479.3 \n",
       "  2162.39,1479.3 2164.53,1479.3 2166.67,1479.3 2168.81,1479.3 2170.95,1479.3 2173.09,1479.3 2175.23,1479.3 2177.37,1479.3 2179.51,1479.3 2181.65,1479.3 \n",
       "  2183.79,1479.3 2185.93,1479.3 2188.07,1479.3 2190.21,1479.3 2192.35,1479.3 2194.49,1479.3 2196.63,1479.3 2198.77,1479.3 2200.9,1479.3 2203.04,1479.3 \n",
       "  2205.18,1479.3 2207.32,1479.3 2209.46,1479.3 2211.6,1479.3 2213.74,1479.3 2215.88,1479.3 2218.02,1479.3 2220.16,1479.3 2222.3,1479.3 2224.44,1479.3 \n",
       "  2226.58,1479.3 2228.72,1479.3 2230.86,1479.3 2233,1479.3 2235.14,1479.3 2237.28,1479.3 2239.42,1479.3 2241.56,1479.3 2243.7,1479.3 2245.84,1479.3 \n",
       "  2247.98,1479.3 2250.12,1479.3 2252.26,1479.3 2254.4,1479.3 2256.54,1479.3 2258.68,1479.3 2260.82,1479.3 2262.95,1479.3 2265.09,1479.3 2267.23,1479.3 \n",
       "  2269.37,1479.3 2271.51,1479.3 2273.65,1479.3 2275.79,1479.3 2277.93,1479.3 2280.07,1479.3 2282.21,1479.3 2284.35,1479.3 2286.49,1479.3 2288.63,1479.3 \n",
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       "  514.858,1477.25 516.998,1476.58 519.138,1475.71 521.277,1474.59 523.417,1473.15 525.557,1471.33 527.696,1469.09 529.836,1466.39 531.976,1463.26 534.115,1459.8 \n",
       "  536.255,1456.2 538.395,1452.77 540.534,1449.89 542.674,1447.95 544.814,1447.25 546.953,1447.91 549.093,1449.81 551.233,1452.66 553.372,1456.08 555.512,1459.68 \n",
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       "  621.841,1457.73 623.981,1450.67 626.12,1441.43 628.26,1429.41 630.4,1413.94 632.539,1394.29 634.679,1369.79 636.819,1339.94 638.958,1304.71 641.098,1264.78 \n",
       "  643.238,1221.97 645.377,1179.34 647.517,1141.14 649.657,1112.14 651.796,1096.6 653.936,1097.01 656.076,1113.29 658.215,1142.85 660.355,1181.38 662.494,1224.11 \n",
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       "  1135.36,1014.94 1137.5,980.444 1139.64,964.996 1141.78,970.981 1143.92,997.247 1146.06,1039.46 1148.2,1091.44 1150.34,1146.78 1152.47,1200.11 1154.61,1247.67 \n",
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       "  1178.15,1213.6 1180.29,1168.94 1182.43,1124.97 1184.57,1086.16 1186.71,1056.71 1188.85,1039.36 1190.99,1034.39 1193.13,1039.39 1195.27,1049.93 1197.41,1060.86 \n",
       "  1199.55,1067.8 1201.69,1068.21 1203.83,1062 1205.97,1051.51 1208.11,1041.03 1210.25,1035.7 1212.39,1040.12 1214.52,1056.95 1216.66,1086.22 1218.8,1125.43 \n",
       "  1220.94,1170.54 1223.08,1217.21 1225.22,1261.73 1227.36,1301.56 1229.5,1335.32 1231.64,1362.55 1233.78,1383.36 1235.92,1398.18 1238.06,1407.48 1240.2,1411.7 \n",
       "  1242.34,1411.18 1244.48,1406.12 1246.62,1396.74 1248.76,1383.33 1250.9,1366.42 1253.04,1346.99 1255.18,1326.59 1257.32,1307.33 1259.46,1291.62 1261.6,1281.68 \n",
       "  1263.74,1278.93 1265.88,1283.52 1268.02,1294.22 1270.16,1308.78 1272.3,1324.49 1274.44,1338.75 1276.57,1349.38 1278.71,1354.72 1280.85,1353.49 1282.99,1344.72 \n",
       "  1285.13,1327.53 1287.27,1301.16 1289.41,1265.04 1291.55,1218.97 1293.69,1163.47 1295.83,1100.06 1297.97,1031.46 1300.11,961.43 1302.25,894.206 1304.39,833.608 \n",
       "  1306.53,782.28 1308.67,741.47 1310.81,711.513 1312.95,692.694 1315.09,685.91 1317.23,692.727 1319.37,714.817 1321.51,753.063 1323.65,806.733 1325.79,873.102 \n",
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       "  1820.05,1231.44 1822.19,1196.05 1824.33,1159.3 1826.47,1125.87 1828.61,1100.83 1830.74,1088.51 1832.88,1091.42 1835.02,1109.43 1837.16,1139.91 1839.3,1178.57 \n",
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       "  1862.84,1377.62 1864.98,1357.21 1867.12,1328.14 1869.26,1289.13 1871.4,1238.89 1873.54,1176.41 1875.68,1101.49 1877.82,1015.3 1879.96,921.102 1882.1,824.631 \n",
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       "  1905.63,1035.65 1907.77,1089.54 1909.91,1127.74 1912.05,1151.28 1914.19,1162.72 1916.33,1165.76 1918.47,1164.85 1920.61,1164.5 1922.75,1168.41 1924.89,1178.7 \n",
       "  1927.03,1195.5 1929.17,1217.04 1931.31,1240.39 1933.45,1262.23 1935.59,1279.6 1937.73,1290.2 1939.87,1292.5 1942.01,1285.68 1944.15,1269.65 1946.29,1245.1 \n",
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       "  1991.22,1460.47 1993.36,1465.16 1995.5,1468.7 1997.64,1471.36 1999.78,1473.36 2001.92,1474.86 2004.06,1475.98 2006.2,1476.82 2008.34,1477.45 2010.48,1477.92 \n",
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       "  664.634,1470.46 666.774,1469.86 668.913,1468.48 671.053,1466.22 673.193,1462.92 675.332,1458.36 677.472,1452.26 679.612,1444.31 681.751,1434.14 683.891,1421.43 \n",
       "  686.031,1405.97 688.17,1387.78 690.31,1367.3 692.45,1345.51 694.589,1324.03 696.729,1305.05 698.869,1290.9 701.008,1283.52 703.148,1283.89 705.288,1291.6 \n",
       "  707.427,1305.03 709.567,1321.74 711.707,1339.1 713.846,1354.77 715.986,1366.92 718.125,1374.22 720.265,1375.69 722.405,1370.5 724.544,1357.83 726.684,1336.71 \n",
       "  728.824,1306.04 730.963,1264.7 733.103,1211.71 735.243,1146.7 737.382,1070.44 739.522,985.463 741.662,896.605 743.801,811.012 745.941,737.351 748.081,684.045 \n",
       "  750.22,656.98 752.36,657.544 754.5,681.977 756.639,722.381 758.779,768.942 760.919,812.393 763.058,845.902 765.198,866.024 767.337,872.809 769.477,869.296 \n",
       "  771.617,860.639 773.756,853.011 775.896,852.443 778.036,863.693 780.175,889.312 782.315,929.113 784.455,980.278 786.594,1038.14 788.734,1097.34 790.874,1152.97 \n",
       "  793.013,1201.25 795.153,1239.72 797.293,1267.04 799.432,1282.66 801.572,1286.49 803.712,1278.72 805.851,1259.82 807.991,1230.68 810.131,1192.96 812.27,1149.4 \n",
       "  814.41,1104.01 816.549,1061.92 818.689,1028.71 820.829,1009.28 822.968,1006.67 825.108,1021.3 827.248,1050.99 829.387,1091.65 831.527,1138.41 833.667,1186.53 \n",
       "  835.806,1232.12 837.946,1272.38 840.086,1305.64 842.225,1331.04 844.365,1348.29 846.505,1357.36 848.644,1358.28 850.784,1351.03 852.924,1335.5 855.063,1311.59 \n",
       "  857.203,1279.43 859.343,1239.66 861.482,1193.75 863.622,1144.24 865.762,1094.68 867.901,1049.13 870.041,1011.12 872.18,982.467 874.32,962.343 876.46,947.264 \n",
       "  878.599,931.978 880.739,910.991 882.879,880.153 885.018,837.848 887.158,785.518 889.298,727.404 891.437,669.45 893.577,617.552 895.717,575.66 897.856,544.507 \n",
       "  899.996,521.5 902.136,501.723 904.275,479.425 906.415,449.36 908.555,407.787 910.694,353.359 912.834,288.065 914.974,217.974 917.113,153.135 919.253,106.076 \n",
       "  921.392,88.9544 923.532,110.271 925.672,172.468 927.811,271.383 929.951,397.627 932.091,539.161 934.23,684.007 936.37,822.301 938.51,947.296 940.649,1055.41 \n",
       "  942.789,1145.64 944.929,1218.74 947.068,1276.46 949.208,1320.93 951.348,1354.24 953.487,1378.26 955.627,1394.49 957.767,1404.09 959.906,1407.82 962.046,1406.16 \n",
       "  964.186,1399.36 966.325,1387.52 968.465,1370.79 970.604,1349.53 972.744,1324.58 974.884,1297.47 977.023,1270.55 979.163,1246.86 981.303,1229.64 983.442,1221.64 \n",
       "  985.582,1224.24 987.722,1237.1 989.861,1258.21 992.001,1284.6 994.141,1313.1 996.28,1341.02 998.42,1366.5 1000.56,1388.49 1002.7,1406.61 1004.84,1420.88 \n",
       "  1006.98,1431.58 1009.12,1439.04 1011.26,1443.55 1013.4,1445.29 1015.54,1444.33 1017.68,1440.57 1019.82,1433.72 1021.96,1423.34 1024.1,1408.8 1026.24,1389.32 \n",
       "  1028.38,1364.02 1030.51,1332.05 1032.65,1292.81 1034.79,1246.26 1036.93,1193.35 1039.07,1136.47 1041.21,1079.7 1043.35,1028.7 1045.49,989.837 1047.63,968.806 \n",
       "  1049.77,968.977 1051.91,990.312 1054.05,1029.38 1056.19,1080.45 1058.33,1137.15 1060.47,1193.83 1062.61,1246.44 1064.75,1292.59 1066.89,1331.33 1069.03,1362.69 \n",
       "  1071.17,1387.24 1073.31,1405.78 1075.45,1419.12 1077.59,1427.94 1079.73,1432.75 1081.87,1433.87 1084.01,1431.36 1086.15,1425.13 1088.29,1414.84 1090.43,1400.02 \n",
       "  1092.56,1380.09 1094.7,1354.51 1096.84,1322.95 1098.98,1285.53 1101.12,1243.23 1103.26,1198.11 1105.4,1153.49 1107.54,1113.64 1109.68,1083.02 1111.82,1065.05 \n",
       "  1113.96,1061.01 1116.1,1069.42 1118.24,1086.37 1120.38,1106.55 1122.52,1124.59 1124.66,1136.19 1126.8,1138.75 1128.94,1131.72 1131.08,1116.64 1133.22,1096.96 \n",
       "  1135.36,1077.61 1137.5,1064.08 1139.64,1061.18 1141.78,1071.78 1143.92,1096.03 1146.06,1131.52 1148.2,1174.17 1150.34,1219.49 1152.47,1263.58 1154.61,1303.71 \n",
       "  1156.75,1338.37 1158.89,1367.02 1161.03,1389.78 1163.17,1407.11 1165.31,1419.61 1167.45,1427.82 1169.59,1432.18 1171.73,1432.98 1173.87,1430.38 1176.01,1424.38 \n",
       "  1178.15,1414.96 1180.29,1402.12 1182.43,1386.03 1184.57,1367.2 1186.71,1346.66 1188.85,1326.06 1190.99,1307.59 1193.13,1293.7 1195.27,1286.49 1197.41,1287.17 \n",
       "  1199.55,1295.65 1201.69,1310.57 1203.83,1329.74 1205.97,1350.76 1208.11,1371.51 1210.25,1390.47 1212.39,1406.74 1214.52,1419.92 1216.66,1429.94 1218.8,1436.89 \n",
       "  1220.94,1440.88 1223.08,1442 1225.22,1440.18 1227.36,1435.21 1229.5,1426.67 1231.64,1413.93 1233.78,1396.1 1235.92,1372.01 1238.06,1340.25 1240.2,1299.21 \n",
       "  1242.34,1247.23 1244.48,1182.87 1246.62,1105.31 1248.76,1014.98 1250.9,914.242 1253.04,807.924 1255.18,703.528 1257.32,610.665 1259.46,539.627 1261.6,499.341 \n",
       "  1263.74,495.258 1265.88,527.967 1268.02,593.027 1270.16,682.117 1272.3,785.044 1274.44,891.878 1276.57,994.564 1278.71,1087.67 1280.85,1168.37 1282.99,1235.89 \n",
       "  1285.13,1290.87 1287.27,1334.7 1289.41,1369.09 1291.55,1395.73 1293.69,1416.19 1295.83,1431.78 1297.97,1443.6 1300.11,1452.52 1302.25,1459.24 1304.39,1464.29 \n",
       "  1306.53,1468.08 1308.67,1470.91 1310.81,1473.03 1312.95,1474.62 1315.09,1475.8 1317.23,1476.69 1319.37,1477.35 1321.51,1477.84 1323.65,1478.21 1325.79,1478.49 \n",
       "  1327.93,1478.69 1330.07,1478.84 1332.21,1478.95 1334.35,1479.04 1336.49,1479.1 1338.62,1479.14 1340.76,1479.17 1342.9,1479.19 1345.04,1479.19 1347.18,1479.19 \n",
       "  1349.32,1479.18 1351.46,1479.16 1353.6,1479.13 1355.74,1479.09 1357.88,1479.02 1360.02,1478.93 1362.16,1478.81 1364.3,1478.65 1366.44,1478.44 1368.58,1478.14 \n",
       "  1370.72,1477.76 1372.86,1477.23 1375,1476.54 1377.14,1475.61 1379.28,1474.37 1381.42,1472.72 1383.56,1470.53 1385.7,1467.63 1387.84,1463.81 1389.98,1458.8 \n",
       "  1392.12,1452.29 1394.26,1443.89 1396.4,1433.2 1398.54,1419.82 1400.67,1403.39 1402.81,1383.74 1404.95,1360.96 1407.09,1335.54 1409.23,1308.44 1411.37,1281.08 \n",
       "  1413.51,1255.21 1415.65,1232.74 1417.79,1215.55 1419.93,1205.19 1422.07,1202.65 1424.21,1208.05 1426.35,1220.41 1428.49,1237.75 1430.63,1257.52 1432.77,1277.16 \n",
       "  1434.91,1294.67 1437.05,1309 1439.19,1320.1 1441.33,1328.76 1443.47,1336.34 1445.61,1344.25 1447.75,1353.57 1449.89,1364.76 1452.03,1377.57 1454.17,1391.3 \n",
       "  1456.31,1405.02 1458.45,1417.92 1460.58,1429.41 1462.72,1439.16 1464.86,1447.09 1467,1453.25 1469.14,1457.78 1471.28,1460.82 1473.42,1462.48 1475.56,1462.83 \n",
       "  1477.7,1461.84 1479.84,1459.42 1481.98,1455.38 1484.12,1449.41 1486.26,1441.08 1488.4,1429.83 1490.54,1414.97 1492.68,1395.7 1494.82,1371.16 1496.96,1340.54 \n",
       "  1499.1,1303.29 1501.24,1259.38 1503.38,1209.67 1505.52,1156.18 1507.66,1102.27 1509.8,1052.31 1511.94,1011.01 1514.08,982.345 1516.22,968.61 1518.36,970.09 \n",
       "  1520.5,985.377 1522.63,1012.11 1524.77,1047.61 1526.91,1089.11 1529.05,1133.81 1531.19,1178.81 1533.33,1221.35 1535.47,1259.01 1537.61,1289.95 1539.75,1312.91 \n",
       "  1541.89,1327.06 1544.03,1331.8 1546.17,1326.54 1548.31,1310.52 1550.45,1282.75 1552.59,1242.03 1554.73,1187.14 1556.87,1117.22 1559.01,1032.31 1561.15,934.137 \n",
       "  1563.29,826.839 1565.43,717.404 1567.57,615.32 1569.71,531.086 1571.85,473.73 1573.99,448.188 1576.13,453.803 1578.27,484.865 1580.41,532.999 1582.55,590.206 \n",
       "  1584.68,651.15 1586.82,713.807 1588.96,778.562 1591.1,846.454 1593.24,917.609 1595.38,990.542 1597.52,1062.46 1599.66,1130.12 1601.8,1190.73 1603.94,1242.39 \n",
       "  1606.08,1284.21 1608.22,1316.07 1610.36,1338.35 1612.5,1351.62 1614.64,1356.51 1616.78,1353.64 1618.92,1343.67 1621.06,1327.49 1623.2,1306.41 1625.34,1282.42 \n",
       "  1627.48,1258.25 1629.62,1237.2 1631.76,1222.63 1633.9,1217.2 1636.04,1222.09 1638.18,1236.69 1640.32,1258.8 1642.46,1285.32 1644.6,1313.1 1646.73,1339.52 \n",
       "  1648.87,1362.76 1651.01,1381.77 1653.15,1396.05 1655.29,1405.48 1657.43,1410.03 1659.57,1409.66 1661.71,1404.24 1663.85,1393.45 1665.99,1376.86 1668.13,1353.99 \n",
       "  1670.27,1324.46 1672.41,1288.25 1674.55,1246.03 1676.69,1199.52 1678.83,1151.75 1680.97,1106.99 1683.11,1070.24 1685.25,1046.18 1687.39,1037.88 1689.53,1045.87 \n",
       "  1691.67,1068.07 1693.81,1100.51 1695.95,1138.63 1698.09,1178.44 1700.23,1217.13 1702.37,1253.1 1704.51,1285.54 1706.64,1314.08 1708.78,1338.41 1710.92,1358.21 \n",
       "  1713.06,1373.15 1715.2,1382.91 1717.34,1387.2 1719.48,1385.7 1721.62,1378.09 1723.76,1363.95 1725.9,1342.94 1728.04,1314.85 1730.18,1279.87 1732.32,1238.95 \n",
       "  1734.46,1194.05 1736.6,1148.36 1738.74,1106.05 1740.88,1071.64 1743.02,1048.84 1745.16,1039.45 1747.3,1042.7 1749.44,1055.64 1751.58,1074.13 1753.72,1094.33 \n",
       "  1755.86,1113.69 1758,1131.45 1760.14,1148.29 1762.28,1165.52 1764.42,1184.16 1766.56,1204.26 1768.69,1224.75 1770.83,1243.81 1772.97,1259.44 1775.11,1270.08 \n",
       "  1777.25,1275.04 1779.39,1274.67 1781.53,1270.4 1783.67,1264.56 1785.81,1259.93 1787.95,1259.18 1790.09,1264.14 1792.23,1275.34 1794.37,1291.93 1796.51,1312.03 \n",
       "  1798.65,1333.33 1800.79,1353.68 1802.93,1371.35 1805.07,1385.2 1807.21,1394.49 1809.35,1398.77 1811.49,1397.65 1813.63,1390.69 1815.77,1377.29 1817.91,1356.66 \n",
       "  1820.05,1327.83 1822.19,1289.79 1824.33,1241.68 1826.47,1183.15 1828.61,1114.79 1830.74,1038.58 1832.88,958.194 1835.02,878.791 1837.16,806.324 1839.3,746.272 \n",
       "  1841.44,702.401 1843.58,676.133 1845.72,666.824 1847.86,672.63 1850,691.26 1852.14,720.171 1854.28,756.357 1856.42,796.285 1858.56,836.348 1860.7,873.69 \n",
       "  1862.84,906.887 1864.98,936.011 1867.12,962.001 1869.26,985.675 1871.4,1006.92 1873.54,1024.52 1875.68,1036.7 1877.82,1042.09 1879.96,1040.67 1882.1,1034.35 \n",
       "  1884.24,1026.9 1886.38,1023.2 1888.52,1027.99 1890.66,1044.44 1892.79,1073.23 1894.93,1112.44 1897.07,1158.37 1899.21,1206.73 1901.35,1253.75 1903.49,1296.72 \n",
       "  1905.63,1334.15 1907.77,1365.57 1909.91,1391.21 1912.05,1411.68 1914.19,1427.75 1916.33,1440.21 1918.47,1449.77 1920.61,1457.07 1922.75,1462.6 1924.89,1466.77 \n",
       "  1927.03,1469.91 1929.17,1472.28 1931.31,1474.05 1933.45,1475.37 1935.59,1476.37 1937.73,1477.11 1939.87,1477.66 1942.01,1478.08 1944.15,1478.39 1946.29,1478.62 \n",
       "  1948.43,1478.79 1950.57,1478.92 1952.71,1479.02 1954.84,1479.09 1956.98,1479.14 1959.12,1479.18 1961.26,1479.21 1963.4,1479.23 1965.54,1479.25 1967.68,1479.26 \n",
       "  1969.82,1479.27 1971.96,1479.28 1974.1,1479.28 1976.24,1479.29 1978.38,1479.29 1980.52,1479.29 1982.66,1479.29 1984.8,1479.29 1986.94,1479.29 1989.08,1479.3 \n",
       "  1991.22,1479.3 1993.36,1479.3 1995.5,1479.3 1997.64,1479.3 1999.78,1479.3 2001.92,1479.3 2004.06,1479.3 2006.2,1479.3 2008.34,1479.3 2010.48,1479.3 \n",
       "  2012.62,1479.3 2014.75,1479.3 2016.89,1479.3 2019.03,1479.3 2021.17,1479.3 2023.31,1479.3 2025.45,1479.3 2027.59,1479.3 2029.73,1479.3 2031.87,1479.3 \n",
       "  2034.01,1479.3 2036.15,1479.3 2038.29,1479.3 2040.43,1479.3 2042.57,1479.3 2044.71,1479.3 2046.85,1479.3 2048.99,1479.3 2051.13,1479.3 2053.27,1479.3 \n",
       "  2055.41,1479.3 2057.55,1479.3 2059.69,1479.3 2061.83,1479.3 2063.97,1479.3 2066.11,1479.3 2068.25,1479.3 2070.39,1479.3 2072.53,1479.3 2074.67,1479.3 \n",
       "  2076.8,1479.3 2078.94,1479.3 2081.08,1479.3 2083.22,1479.3 2085.36,1479.3 2087.5,1479.3 2089.64,1479.3 2091.78,1479.3 2093.92,1479.3 2096.06,1479.3 \n",
       "  2098.2,1479.3 2100.34,1479.3 2102.48,1479.3 2104.62,1479.3 2106.76,1479.3 2108.9,1479.3 2111.04,1479.3 2113.18,1479.3 2115.32,1479.3 2117.46,1479.3 \n",
       "  2119.6,1479.3 2121.74,1479.3 2123.88,1479.3 2126.02,1479.3 2128.16,1479.3 2130.3,1479.3 2132.44,1479.3 2134.58,1479.3 2136.72,1479.3 2138.85,1479.3 \n",
       "  2140.99,1479.3 2143.13,1479.3 2145.27,1479.3 2147.41,1479.3 2149.55,1479.3 2151.69,1479.3 2153.83,1479.3 2155.97,1479.3 2158.11,1479.3 2160.25,1479.3 \n",
       "  2162.39,1479.3 2164.53,1479.3 2166.67,1479.3 2168.81,1479.3 2170.95,1479.3 2173.09,1479.3 2175.23,1479.3 2177.37,1479.3 2179.51,1479.3 2181.65,1479.3 \n",
       "  2183.79,1479.3 2185.93,1479.3 2188.07,1479.3 2190.21,1479.3 2192.35,1479.3 2194.49,1479.3 2196.63,1479.3 2198.77,1479.3 2200.9,1479.3 2203.04,1479.3 \n",
       "  2205.18,1479.3 2207.32,1479.3 2209.46,1479.3 2211.6,1479.3 2213.74,1479.3 2215.88,1479.3 2218.02,1479.3 2220.16,1479.3 2222.3,1479.3 2224.44,1479.3 \n",
       "  2226.58,1479.3 2228.72,1479.3 2230.86,1479.3 2233,1479.3 2235.14,1479.3 2237.28,1479.3 2239.42,1479.3 2241.56,1479.3 2243.7,1479.3 2245.84,1479.3 \n",
       "  2247.98,1479.3 2250.12,1479.3 2252.26,1479.3 2254.4,1479.3 2256.54,1479.3 2258.68,1479.3 2260.82,1479.3 2262.95,1479.3 2265.09,1479.3 2267.23,1479.3 \n",
       "  2269.37,1479.3 2271.51,1479.3 2273.65,1479.3 2275.79,1479.3 2277.93,1479.3 2280.07,1479.3 2282.21,1479.3 2284.35,1479.3 2286.49,1479.3 2288.63,1479.3 \n",
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       "  172.514,1479.3 174.654,1479.3 176.793,1479.3 178.933,1479.3 181.073,1479.3 183.212,1479.3 185.352,1479.3 187.492,1479.3 189.631,1479.3 191.771,1479.3 \n",
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       "  236.704,1479.3 238.843,1479.3 240.983,1479.3 243.123,1479.3 245.262,1479.3 247.402,1479.3 249.542,1479.3 251.681,1479.3 253.821,1479.3 255.96,1479.3 \n",
       "  258.1,1479.3 260.24,1479.3 262.379,1479.3 264.519,1479.3 266.659,1479.3 268.798,1479.3 270.938,1479.3 273.078,1479.3 275.217,1479.3 277.357,1479.3 \n",
       "  279.497,1479.3 281.636,1479.3 283.776,1479.3 285.916,1479.3 288.055,1479.3 290.195,1479.3 292.335,1479.3 294.474,1479.3 296.614,1479.3 298.754,1479.3 \n",
       "  300.893,1479.3 303.033,1479.3 305.173,1479.3 307.312,1479.3 309.452,1479.3 311.591,1479.3 313.731,1479.3 315.871,1479.3 318.01,1479.3 320.15,1479.3 \n",
       "  322.29,1479.3 324.429,1479.3 326.569,1479.3 328.709,1479.3 330.848,1479.3 332.988,1479.3 335.128,1479.3 337.267,1479.3 339.407,1479.3 341.547,1479.3 \n",
       "  343.686,1479.3 345.826,1479.3 347.966,1479.3 350.105,1479.3 352.245,1479.3 354.385,1479.3 356.524,1479.3 358.664,1479.3 360.803,1479.3 362.943,1479.3 \n",
       "  365.083,1479.3 367.222,1479.3 369.362,1479.3 371.502,1479.3 373.641,1479.3 375.781,1479.3 377.921,1479.3 380.06,1479.3 382.2,1479.3 384.34,1479.3 \n",
       "  386.479,1479.3 388.619,1479.3 390.759,1479.3 392.898,1479.3 395.038,1479.3 397.178,1479.3 399.317,1479.3 401.457,1479.3 403.597,1479.3 405.736,1479.3 \n",
       "  407.876,1479.3 410.015,1479.3 412.155,1479.3 414.295,1479.3 416.434,1479.3 418.574,1479.3 420.714,1479.3 422.853,1479.3 424.993,1479.3 427.133,1479.3 \n",
       "  429.272,1479.3 431.412,1479.3 433.552,1479.3 435.691,1479.3 437.831,1479.3 439.971,1479.3 442.11,1479.3 444.25,1479.3 446.39,1479.3 448.529,1479.3 \n",
       "  450.669,1479.3 452.809,1479.3 454.948,1479.3 457.088,1479.3 459.227,1479.3 461.367,1479.3 463.507,1479.3 465.646,1479.3 467.786,1479.29 469.926,1479.29 \n",
       "  472.065,1479.29 474.205,1479.29 476.345,1479.29 478.484,1479.28 480.624,1479.28 482.764,1479.27 484.903,1479.26 487.043,1479.25 489.183,1479.23 491.322,1479.21 \n",
       "  493.462,1479.18 495.602,1479.15 497.741,1479.1 499.881,1479.03 502.021,1478.93 504.16,1478.81 506.3,1478.65 508.44,1478.43 510.579,1478.14 512.719,1477.76 \n",
       "  514.858,1477.25 516.998,1476.58 519.138,1475.71 521.277,1474.59 523.417,1473.15 525.557,1471.33 527.696,1469.09 529.836,1466.39 531.976,1463.26 534.115,1459.8 \n",
       "  536.255,1456.2 538.395,1452.77 540.534,1449.89 542.674,1447.95 544.814,1447.25 546.953,1447.91 549.093,1449.81 551.233,1452.66 553.372,1456.08 555.512,1459.68 \n",
       "  557.652,1463.15 559.791,1466.29 561.931,1469 564.07,1471.26 566.21,1473.08 568.35,1474.53 570.489,1475.66 572.629,1476.53 574.769,1477.2 576.908,1477.7 \n",
       "  579.048,1478.07 581.188,1478.34 583.327,1478.53 585.467,1478.65 587.607,1478.73 589.746,1478.75 591.886,1478.73 594.026,1478.65 596.165,1478.52 598.305,1478.33 \n",
       "  600.445,1478.05 602.584,1477.66 604.724,1477.14 606.864,1476.42 609.003,1475.47 611.143,1474.19 613.282,1472.47 615.422,1470.18 617.562,1467.13 619.701,1463.09 \n",
       "  621.841,1457.73 623.981,1450.67 626.12,1441.43 628.26,1429.41 630.4,1413.94 632.539,1394.29 634.679,1369.79 636.819,1339.94 638.958,1304.71 641.098,1264.78 \n",
       "  643.238,1221.97 645.377,1179.34 647.517,1141.14 649.657,1112.14 651.796,1096.6 653.936,1097.01 656.076,1113.29 658.215,1142.85 660.355,1181.38 662.494,1224.11 \n",
       "  664.634,1266.83 666.774,1306.54 668.913,1341.51 671.053,1371.07 673.193,1395.3 675.332,1414.69 677.472,1429.94 679.612,1441.76 681.751,1450.81 683.891,1457.69 \n",
       "  686.031,1462.85 688.17,1466.69 690.31,1469.48 692.45,1471.45 694.589,1472.77 696.729,1473.53 698.869,1473.8 701.008,1473.6 703.148,1472.92 705.288,1471.71 \n",
       "  707.427,1469.87 709.567,1467.26 711.707,1463.71 713.846,1458.97 715.986,1452.74 718.125,1444.7 720.265,1434.48 722.405,1421.76 724.544,1406.33 726.684,1388.21 \n",
       "  728.824,1367.86 730.963,1346.27 733.103,1325.11 735.243,1306.57 737.382,1293.02 739.522,1286.45 741.662,1287.88 743.801,1296.98 745.941,1312.23 748.081,1331.33 \n",
       "  750.22,1351.85 752.36,1371.71 754.5,1389.41 756.639,1404.04 758.779,1415.17 760.919,1422.63 763.058,1426.35 765.198,1426.26 767.337,1422.17 769.477,1413.7 \n",
       "  771.617,1400.29 773.756,1381.19 775.896,1355.46 778.036,1322.12 780.175,1280.33 782.315,1229.65 784.455,1170.51 786.594,1104.59 788.734,1035.23 790.874,967.349 \n",
       "  793.013,906.88 795.153,859.526 797.293,829.326 799.432,817.645 801.572,823.154 803.712,842.789 805.851,873.044 807.991,910.834 810.131,953.572 812.27,998.715 \n",
       "  814.41,1043.3 816.549,1083.92 818.689,1117 820.829,1139.38 822.968,1148.63 825.108,1143.38 827.248,1123.46 829.387,1090.15 831.527,1046.45 833.667,997.287 \n",
       "  835.806,949.399 837.946,910.553 840.086,888.072 842.225,887.009 844.365,908.722 846.505,950.559 848.644,1006.82 850.784,1070.53 852.924,1135.12 855.063,1195.57 \n",
       "  857.203,1248.73 859.343,1293.08 861.482,1328.3 863.622,1354.76 865.762,1373.09 867.901,1383.93 870.041,1387.78 872.18,1384.9 874.32,1375.32 876.46,1358.92 \n",
       "  878.599,1335.57 880.739,1305.34 882.879,1268.8 885.018,1227.4 887.158,1183.75 889.298,1141.62 891.437,1105.62 893.577,1080.21 895.717,1068.59 897.856,1071.58 \n",
       "  899.996,1087.41 902.136,1112.23 904.275,1141.38 906.415,1170.6 908.555,1196.9 910.694,1218.8 912.834,1236 914.974,1248.84 917.113,1257.64 919.253,1262.26 \n",
       "  921.392,1262.01 923.532,1255.84 925.672,1242.8 927.811,1222.51 929.951,1195.68 932.091,1164.4 934.23,1132.23 936.37,1103.89 938.51,1084.38 940.649,1077.81 \n",
       "  942.789,1086.18 944.929,1108.77 947.068,1142.48 949.208,1182.77 951.348,1224.95 953.487,1265.05 955.627,1300.3 957.767,1329.06 959.906,1350.57 962.046,1364.59 \n",
       "  964.186,1371.06 966.325,1369.92 968.465,1360.93 970.604,1343.64 972.744,1317.42 974.884,1281.56 977.023,1235.5 979.163,1179.07 981.303,1112.85 983.442,1038.41 \n",
       "  985.582,958.548 987.722,877.173 989.861,799.068 992.001,729.357 994.141,672.734 996.28,632.429 998.42,609.112 1000.56,600.185 1002.7,599.985 1004.84,601.07 \n",
       "  1006.98,596.184 1009.12,580.159 1011.26,551.105 1013.4,510.619 1015.54,463.096 1017.68,414.505 1019.82,371.061 1021.96,338.192 1024.1,319.91 1026.24,318.516 \n",
       "  1028.38,334.542 1030.51,366.949 1032.65,413.551 1034.79,471.496 1036.93,537.546 1039.07,608.196 1041.21,679.925 1043.35,749.752 1045.49,815.922 1047.63,878.25 \n",
       "  1049.77,937.83 1051.91,996.176 1054.05,1054.26 1056.19,1111.96 1058.33,1168.08 1060.47,1220.92 1062.61,1268.87 1064.75,1310.84 1066.89,1346.39 1069.03,1375.7 \n",
       "  1071.17,1399.31 1073.31,1417.97 1075.45,1432.52 1077.59,1443.7 1079.73,1452.21 1081.87,1458.6 1084.01,1463.34 1086.15,1466.77 1088.29,1469.16 1090.43,1470.7 \n",
       "  1092.56,1471.51 1094.7,1471.65 1096.84,1471.15 1098.98,1469.95 1101.12,1467.96 1103.26,1465.02 1105.4,1460.89 1107.54,1455.25 1109.68,1447.67 1111.82,1437.62 \n",
       "  1113.96,1424.4 1116.1,1407.22 1118.24,1385.15 1120.38,1357.22 1122.52,1322.58 1124.66,1280.69 1126.8,1231.73 1128.94,1177 1131.08,1119.35 1133.22,1063.34 \n",
       "  1135.36,1014.94 1137.5,980.444 1139.64,964.996 1141.78,970.981 1143.92,997.247 1146.06,1039.46 1148.2,1091.44 1150.34,1146.78 1152.47,1200.11 1154.61,1247.67 \n",
       "  1156.75,1287.3 1158.89,1318.06 1161.03,1339.78 1163.17,1352.66 1165.31,1356.94 1167.45,1352.83 1169.59,1340.41 1171.73,1319.75 1173.87,1291.11 1176.01,1255.21 \n",
       "  1178.15,1213.6 1180.29,1168.94 1182.43,1124.97 1184.57,1086.16 1186.71,1056.71 1188.85,1039.36 1190.99,1034.39 1193.13,1039.39 1195.27,1049.93 1197.41,1060.86 \n",
       "  1199.55,1067.8 1201.69,1068.21 1203.83,1062 1205.97,1051.51 1208.11,1041.03 1210.25,1035.7 1212.39,1040.12 1214.52,1056.95 1216.66,1086.22 1218.8,1125.43 \n",
       "  1220.94,1170.54 1223.08,1217.21 1225.22,1261.73 1227.36,1301.56 1229.5,1335.32 1231.64,1362.55 1233.78,1383.36 1235.92,1398.18 1238.06,1407.48 1240.2,1411.7 \n",
       "  1242.34,1411.18 1244.48,1406.12 1246.62,1396.74 1248.76,1383.33 1250.9,1366.42 1253.04,1346.99 1255.18,1326.59 1257.32,1307.33 1259.46,1291.62 1261.6,1281.68 \n",
       "  1263.74,1278.93 1265.88,1283.52 1268.02,1294.22 1270.16,1308.78 1272.3,1324.49 1274.44,1338.75 1276.57,1349.38 1278.71,1354.72 1280.85,1353.49 1282.99,1344.72 \n",
       "  1285.13,1327.53 1287.27,1301.16 1289.41,1265.04 1291.55,1218.97 1293.69,1163.47 1295.83,1100.06 1297.97,1031.46 1300.11,961.43 1302.25,894.206 1304.39,833.608 \n",
       "  1306.53,782.28 1308.67,741.47 1310.81,711.513 1312.95,692.694 1315.09,685.91 1317.23,692.727 1319.37,714.817 1321.51,753.063 1323.65,806.733 1325.79,873.102 \n",
       "  1327.93,947.747 1330.07,1025.42 1332.21,1101.12 1334.35,1170.95 1336.49,1232.5 1338.62,1284.78 1340.76,1327.88 1342.9,1362.58 1345.04,1390.03 1347.18,1411.43 \n",
       "  1349.32,1427.94 1351.46,1440.56 1353.6,1450.16 1355.74,1457.43 1357.88,1462.91 1360.02,1467.03 1362.16,1470.12 1364.3,1472.44 1366.44,1474.17 1368.58,1475.47 \n",
       "  1370.72,1476.44 1372.86,1477.16 1375,1477.7 1377.14,1478.1 1379.28,1478.41 1381.42,1478.63 1383.56,1478.8 1385.7,1478.92 1387.84,1479.01 1389.98,1479.07 \n",
       "  1392.12,1479.12 1394.26,1479.15 1396.4,1479.17 1398.54,1479.17 1400.67,1479.17 1402.81,1479.15 1404.95,1479.12 1407.09,1479.07 1409.23,1479.01 1411.37,1478.92 \n",
       "  1413.51,1478.8 1415.65,1478.64 1417.79,1478.41 1419.93,1478.12 1422.07,1477.72 1424.21,1477.19 1426.35,1476.49 1428.49,1475.55 1430.63,1474.3 1432.77,1472.65 \n",
       "  1434.91,1470.48 1437.05,1467.65 1439.19,1463.97 1441.33,1459.24 1443.47,1453.26 1445.61,1445.83 1447.75,1436.81 1449.89,1426.21 1452.03,1414.22 1454.17,1401.33 \n",
       "  1456.31,1388.31 1458.45,1376.13 1460.58,1365.75 1462.72,1357.8 1464.86,1352.38 1467,1348.92 1469.14,1346.4 1471.28,1343.68 1473.42,1339.83 1475.56,1334.49 \n",
       "  1477.7,1327.8 1479.84,1320.32 1481.98,1312.67 1484.12,1305.21 1486.26,1297.85 1488.4,1290.2 1490.54,1281.88 1492.68,1273 1494.82,1264.43 1496.96,1257.82 \n",
       "  1499.1,1255.21 1501.24,1258.35 1503.38,1268.13 1505.52,1284.14 1507.66,1304.92 1509.8,1328.33 1511.94,1352.24 1514.08,1374.89 1516.22,1395.15 1518.36,1412.47 \n",
       "  1520.5,1426.75 1522.63,1438.15 1524.77,1446.99 1526.91,1453.63 1529.05,1458.4 1531.19,1461.56 1533.33,1463.3 1535.47,1463.73 1537.61,1462.87 1539.75,1460.64 \n",
       "  1541.89,1456.86 1544.03,1451.23 1546.17,1443.34 1548.31,1432.62 1550.45,1418.36 1552.59,1399.68 1554.73,1375.59 1556.87,1345.03 1559.01,1307.03 1561.15,1260.99 \n",
       "  1563.29,1206.99 1565.43,1146.27 1567.57,1081.65 1569.71,1017.65 1571.85,960.209 1573.99,915.631 1576.13,889.123 1578.27,883.236 1580.41,896.952 1582.55,925.805 \n",
       "  1584.68,962.943 1586.82,1000.65 1588.96,1031.72 1591.1,1050.34 1593.24,1052.42 1595.38,1035.7 1597.52,999.663 1599.66,945.677 1601.8,877.144 1603.94,799.565 \n",
       "  1606.08,720.207 1608.22,647.192 1610.36,588.095 1612.5,548.485 1614.64,530.94 1616.78,534.816 1618.92,556.731 1621.06,591.581 1623.2,633.887 1625.34,679.233 \n",
       "  1627.48,725.351 1629.62,772.387 1631.76,822.162 1633.9,876.748 1636.04,937.052 1638.18,1002.1 1640.32,1069.27 1642.46,1135.18 1644.6,1196.7 1646.73,1251.56 \n",
       "  1648.87,1298.63 1651.01,1337.72 1653.15,1369.33 1655.29,1394.32 1657.43,1413.68 1659.57,1428.38 1661.71,1439.26 1663.85,1447.02 1665.99,1452.19 1668.13,1455.15 \n",
       "  1670.27,1456.11 1672.41,1455.18 1674.55,1452.29 1676.69,1447.29 1678.83,1439.87 1680.97,1429.67 1683.11,1416.22 1685.25,1399.09 1687.39,1377.94 1689.53,1352.7 \n",
       "  1691.67,1323.82 1693.81,1292.43 1695.95,1260.44 1698.09,1230.48 1700.23,1205.34 1702.37,1187.3 1704.51,1177.25 1706.64,1174.24 1708.78,1175.61 1710.92,1177.62 \n",
       "  1713.06,1176.42 1715.2,1168.95 1717.34,1153.57 1719.48,1130.47 1721.62,1101.8 1723.76,1071.49 1725.9,1044.66 1728.04,1026.63 1730.18,1021.58 1732.32,1031.5 \n",
       "  1734.46,1055.81 1736.6,1091.69 1738.74,1135.11 1740.88,1181.81 1743.02,1228.05 1745.16,1271.02 1747.3,1308.93 1749.44,1340.84 1751.58,1366.5 1753.72,1386.07 \n",
       "  1755.86,1399.92 1758,1408.5 1760.14,1412.16 1762.28,1411.16 1764.42,1405.64 1766.56,1395.64 1768.69,1381.11 1770.83,1361.97 1772.97,1338.12 1775.11,1309.54 \n",
       "  1777.25,1276.4 1779.39,1239.28 1781.53,1199.57 1783.67,1159.72 1785.81,1123.36 1787.95,1094.85 1790.09,1078.33 1792.23,1076.54 1794.37,1089.8 1796.51,1115.83 \n",
       "  1798.65,1150.4 1800.79,1188.47 1802.93,1225.33 1805.07,1257.24 1807.21,1281.67 1809.35,1297.12 1811.49,1302.85 1813.63,1298.64 1815.77,1284.72 1817.91,1261.83 \n",
       "  1820.05,1231.44 1822.19,1196.05 1824.33,1159.3 1826.47,1125.87 1828.61,1100.83 1830.74,1088.51 1832.88,1091.42 1835.02,1109.43 1837.16,1139.91 1839.3,1178.57 \n",
       "  1841.44,1220.67 1843.58,1262.07 1845.72,1299.72 1847.86,1331.84 1850,1357.59 1852.14,1376.79 1854.28,1389.56 1856.42,1396.08 1858.56,1396.43 1860.7,1390.43 \n",
       "  1862.84,1377.62 1864.98,1357.21 1867.12,1328.14 1869.26,1289.13 1871.4,1238.89 1873.54,1176.41 1875.68,1101.49 1877.82,1015.3 1879.96,921.102 1882.1,824.631 \n",
       "  1884.24,734.042 1886.38,658.945 1888.52,608.615 1890.66,589.752 1892.79,604.595 1894.93,650.182 1897.07,719.099 1899.21,801.401 1901.35,886.899 1903.49,966.995 \n",
       "  1905.63,1035.65 1907.77,1089.54 1909.91,1127.74 1912.05,1151.28 1914.19,1162.72 1916.33,1165.76 1918.47,1164.85 1920.61,1164.5 1922.75,1168.41 1924.89,1178.7 \n",
       "  1927.03,1195.5 1929.17,1217.04 1931.31,1240.39 1933.45,1262.23 1935.59,1279.6 1937.73,1290.2 1939.87,1292.5 1942.01,1285.68 1944.15,1269.65 1946.29,1245.1 \n",
       "  1948.43,1213.7 1950.57,1178.33 1952.71,1143.09 1954.84,1112.95 1956.98,1092.95 1959.12,1086.95 1961.26,1096.55 1963.4,1120.67 1965.54,1155.92 1967.68,1197.72 \n",
       "  1969.82,1241.52 1971.96,1283.67 1974.1,1321.77 1976.24,1354.63 1978.38,1381.99 1980.52,1404.15 1982.66,1421.75 1984.8,1435.51 1986.94,1446.14 1989.08,1454.28 \n",
       "  1991.22,1460.47 1993.36,1465.16 1995.5,1468.7 1997.64,1471.36 1999.78,1473.36 2001.92,1474.86 2004.06,1475.98 2006.2,1476.82 2008.34,1477.45 2010.48,1477.92 \n",
       "  2012.62,1478.27 2014.75,1478.53 2016.89,1478.72 2019.03,1478.87 2021.17,1478.98 2023.31,1479.06 2025.45,1479.12 2027.59,1479.16 2029.73,1479.2 2031.87,1479.22 \n",
       "  2034.01,1479.24 2036.15,1479.26 2038.29,1479.27 2040.43,1479.27 2042.57,1479.28 2044.71,1479.28 2046.85,1479.29 2048.99,1479.29 2051.13,1479.29 2053.27,1479.29 \n",
       "  2055.41,1479.29 2057.55,1479.3 2059.69,1479.3 2061.83,1479.3 2063.97,1479.3 2066.11,1479.3 2068.25,1479.3 2070.39,1479.3 2072.53,1479.3 2074.67,1479.3 \n",
       "  2076.8,1479.3 2078.94,1479.3 2081.08,1479.3 2083.22,1479.3 2085.36,1479.3 2087.5,1479.3 2089.64,1479.3 2091.78,1479.3 2093.92,1479.3 2096.06,1479.3 \n",
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      ]
     },
     "metadata": {},
     "execution_count": 10
    }
   ],
   "cell_type": "code",
   "source": [
    "using Plots\n",
    "plot_dos(scfres)"
   ],
   "metadata": {},
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "source": [
    "Similarly the band structure shows clear differences between both spin components."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computing bands along kpath:\n",
      "       Γ -> H -> N -> Γ -> P -> H  and  P -> N\n",
      "\rDiagonalising Hamiltonian kblocks:   1%|▎               |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:   6%|█               |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  10%|█▋              |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  14%|██▎             |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  17%|██▋             |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  21%|███▎            |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  24%|███▉            |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  28%|████▌           |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  31%|████▉           |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  33%|█████▍          |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  37%|██████          |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  41%|██████▋         |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  45%|███████▏        |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  49%|███████▊        |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  51%|████████▎       |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  55%|████████▉       |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  58%|█████████▎      |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  62%|█████████▉      |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  65%|██████████▌     |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  69%|███████████▏    |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  72%|███████████▌    |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  76%|████████████▏   |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  79%|████████████▊   |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  83%|█████████████▍  |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  87%|██████████████  |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  90%|██████████████▍ |  ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks:  94%|███████████████ |  ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks:  96%|███████████████▍|  ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 100%|████████████████| Time: 0:00:03\u001b[K\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=420}",
      "image/png": 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