{
 "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   -16.64709995298         NaN   3.28e-01    5.3 \n",
      "  2   -16.64776360025   -6.64e-04   7.78e-02    1.0 \n",
      "  3   -16.64782512364   -6.15e-05   3.31e-03    1.5 \n",
      "  4   -16.64783265204   -7.53e-06   1.94e-03    3.3 \n",
      "  5   -16.64783416646   -1.51e-06   3.94e-04    1.0 \n",
      "  6   -16.64783430309   -1.37e-07   1.15e-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             15.9216162\n    AtomicLocal         -5.0696754\n    AtomicNonlocal      -5.2207140\n    Ewald               -21.4723040\n    PspCorrection       1.8758831 \n    Hartree             0.7794426 \n    Xc                  -3.4437950\n    Entropy             -0.0182879\n\n    total               -16.647834303094\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   -16.66002551122         NaN   3.41e-01    2.620    4.4 \n",
      "  2   -16.66626265082   -6.24e-03   6.91e-02    2.428    1.1 \n",
      "  3   -16.66694009833   -6.77e-04   8.50e-03    2.349    2.3 \n",
      "  4   -16.66698657665   -4.65e-05   3.64e-03    2.320    2.1 \n",
      "  5   -16.66699460564   -8.03e-06   6.81e-04    2.309    1.8 \n",
      "  6   -16.66699628950   -1.68e-06   3.51e-04    2.301    2.0 \n",
      "  7   -16.66699652142   -2.32e-07   2.45e-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             16.3014860\n    AtomicLocal         -5.2260192\n    AtomicNonlocal      -5.4135692\n    Ewald               -21.4723040\n    PspCorrection       1.8758831 \n    Hartree             0.8201287 \n    Xc                  -3.5395226\n    Entropy             -0.0130792\n\n    total               -16.666996521420\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: -16.647834303093997\n",
      "Magnetic case:    -16.66699652142015\n",
      "Difference:       -0.019162218326151503\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, 0.9999988139163148, 0.9999988139086667, 0.9999988139013078, 0.9585666877682896, 0.9585658176443355, 1.153983524443726e-29]\n",
      "(scfres.occupation[idown])[1:7] = [1.0, 0.8327049183713644, 0.8327027482317779, 0.8327009118726124, 7.841635658930688e-6, 7.841529477481597e-6, 1.5498839393283212e-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] = [-0.06926577779425813, 0.35688373582442234, 0.3568838003062622, 0.35688386235031283, 0.46191872160844794, 0.46191894068947925, 1.1596497390124445]\n",
      "(scfres.eigenvalues[idown])[1:7] = [-0.03040777172240764, 0.4772830596477713, 0.47728321542756175, 0.47728334724622934, 0.6108928136921937, 0.6108929491014441, 1.2257776902102375]\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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       "  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",
       "  429.272,1479.3 431.412,1479.3 433.552,1479.3 435.691,1479.3 437.831,1479.29 439.971,1479.29 442.11,1479.29 444.25,1479.29 446.39,1479.29 448.529,1479.29 \n",
       "  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",
       "  493.462,1474.23 495.602,1472.7 497.741,1470.77 499.881,1468.4 502.021,1465.59 504.16,1462.36 506.3,1458.83 508.44,1455.25 510.579,1451.92 512.719,1449.26 \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",
       "  600.445,1399.25 602.584,1375.93 604.724,1347.35 606.864,1313.33 609.003,1274.38 611.143,1232.01 613.282,1189 615.422,1149.34 617.562,1117.8 619.701,1098.83 \n",
       "  621.841,1095.45 623.981,1108.2 626.12,1135.01 628.26,1171.89 630.4,1214.04 632.539,1257.08 634.679,1297.67 636.819,1333.81 638.958,1364.62 641.098,1390.02 \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",
       "  664.634,1470.46 666.774,1469.86 668.913,1468.48 671.053,1466.22 673.193,1462.92 675.332,1458.36 677.472,1452.27 679.612,1444.31 681.751,1434.14 683.891,1421.43 \n",
       "  686.031,1405.97 688.17,1387.79 690.31,1367.3 692.45,1345.51 694.589,1324.04 696.729,1305.05 698.869,1290.9 701.008,1283.52 703.148,1283.89 705.288,1291.6 \n",
       "  707.427,1305.03 709.567,1321.74 711.707,1339.1 713.846,1354.77 715.986,1366.92 718.125,1374.22 720.265,1375.69 722.405,1370.51 724.544,1357.83 726.684,1336.71 \n",
       "  728.824,1306.05 730.963,1264.7 733.103,1211.72 735.243,1146.71 737.382,1070.45 739.522,985.475 741.662,896.617 743.801,811.024 745.941,737.36 748.081,684.052 \n",
       "  750.22,656.984 752.36,657.545 754.5,681.974 756.639,722.377 758.779,768.937 760.919,812.389 763.058,845.9 765.198,866.024 767.337,872.81 769.477,869.298 \n",
       "  771.617,860.642 773.756,853.014 775.896,852.445 778.036,863.693 780.175,889.31 782.315,929.109 784.455,980.273 786.594,1038.13 788.734,1097.33 790.874,1152.96 \n",
       "  793.013,1201.25 795.153,1239.72 797.293,1267.04 799.432,1282.66 801.572,1286.49 803.712,1278.72 805.851,1259.82 807.991,1230.69 810.131,1192.97 812.27,1149.41 \n",
       "  814.41,1104.02 816.549,1061.93 818.689,1028.71 820.829,1009.28 822.968,1006.67 825.108,1021.3 827.248,1050.98 829.387,1091.65 831.527,1138.4 833.667,1186.52 \n",
       "  835.806,1232.11 837.946,1272.38 840.086,1305.63 842.225,1331.03 844.365,1348.28 846.505,1357.36 848.644,1358.28 850.784,1351.03 852.924,1335.5 855.063,1311.6 \n",
       "  857.203,1279.44 859.343,1239.67 861.482,1193.76 863.622,1144.25 865.762,1094.69 867.901,1049.14 870.041,1011.13 872.18,982.474 874.32,962.349 876.46,947.271 \n",
       "  878.599,931.986 880.739,911.001 882.879,880.166 885.018,837.863 887.158,785.534 889.298,727.42 891.437,669.465 893.577,617.564 895.717,575.668 897.856,544.512 \n",
       "  899.996,521.503 902.136,501.725 904.275,479.428 906.415,449.365 908.555,407.795 910.694,353.37 912.834,288.078 914.974,217.987 917.113,153.146 919.253,106.083 \n",
       "  921.392,88.9544 923.532,110.264 925.672,172.454 927.811,271.362 929.951,397.603 932.091,539.136 934.23,683.983 936.37,822.279 938.51,947.276 940.649,1055.39 \n",
       "  942.789,1145.62 944.929,1218.73 947.068,1276.45 949.208,1320.92 951.348,1354.23 953.487,1378.25 955.627,1394.49 957.767,1404.09 959.906,1407.82 962.046,1406.16 \n",
       "  964.186,1399.36 966.325,1387.52 968.465,1370.79 970.604,1349.53 972.744,1324.59 974.884,1297.48 977.023,1270.56 979.163,1246.86 981.303,1229.65 983.442,1221.64 \n",
       "  985.582,1224.24 987.722,1237.09 989.861,1258.21 992.001,1284.6 994.141,1313.09 996.28,1341.02 998.42,1366.5 1000.56,1388.49 1002.7,1406.6 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 1021.96,1423.35 1024.1,1408.81 1026.24,1389.33 \n",
       "  1028.38,1364.03 1030.51,1332.06 1032.65,1292.82 1034.79,1246.27 1036.93,1193.36 1039.07,1136.48 1041.21,1079.72 1043.35,1028.71 1045.49,989.845 1047.63,968.81 \n",
       "  1049.77,968.976 1051.91,990.306 1054.05,1029.37 1056.19,1080.44 1058.33,1137.14 1060.47,1193.82 1062.61,1246.43 1064.75,1292.58 1066.89,1331.32 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 1084.01,1431.37 1086.15,1425.13 1088.29,1414.84 1090.43,1400.02 \n",
       "  1092.56,1380.1 1094.7,1354.52 1096.84,1322.95 1098.98,1285.54 1101.12,1243.24 1103.26,1198.12 1105.4,1153.5 1107.54,1113.65 1109.68,1083.02 1111.82,1065.05 \n",
       "  1113.96,1061.01 1116.1,1069.42 1118.24,1086.37 1120.38,1106.54 1122.52,1124.59 1124.66,1136.19 1126.8,1138.75 1128.94,1131.73 1131.08,1116.64 1133.22,1096.97 \n",
       "  1135.36,1077.62 1137.5,1064.09 1139.64,1061.18 1141.78,1071.78 1143.92,1096.03 1146.06,1131.51 1148.2,1174.17 1150.34,1219.48 1152.47,1263.57 1154.61,1303.71 \n",
       "  1156.75,1338.36 1158.89,1367.01 1161.03,1389.77 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 1186.71,1346.67 1188.85,1326.06 1190.99,1307.6 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 1205.97,1350.75 1208.11,1371.5 1210.25,1390.47 1212.39,1406.74 1214.52,1419.92 1216.66,1429.94 1218.8,1436.88 \n",
       "  1220.94,1440.88 1223.08,1442 1225.22,1440.18 1227.36,1435.21 1229.5,1426.67 1231.64,1413.94 1233.78,1396.1 1235.92,1372.01 1238.06,1340.25 1240.2,1299.22 \n",
       "  1242.34,1247.24 1244.48,1182.88 1246.62,1105.32 1248.76,1015 1250.9,914.262 1253.04,807.943 1255.18,703.547 1257.32,610.681 1259.46,539.639 1261.6,499.346 \n",
       "  1263.74,495.257 1265.88,527.96 1268.02,593.015 1270.16,682.102 1272.3,785.027 1274.44,891.862 1276.57,994.548 1278.71,1087.66 1280.85,1168.36 1282.99,1235.88 \n",
       "  1285.13,1290.86 1287.27,1334.7 1289.41,1369.08 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 1368.58,1478.15 \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 1396.4,1433.21 1398.54,1419.82 1400.67,1403.4 1402.81,1383.74 1404.95,1360.96 1407.09,1335.55 1409.23,1308.45 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 1432.77,1277.15 \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 1449.89,1364.75 1452.03,1377.57 1454.17,1391.29 \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 1490.54,1414.98 1492.68,1395.71 1494.82,1371.17 1496.96,1340.55 \n",
       "  1499.1,1303.3 1501.24,1259.39 1503.38,1209.68 1505.52,1156.2 1507.66,1102.28 1509.8,1052.32 1511.94,1011.02 1514.08,982.35 1516.22,968.613 1518.36,970.089 \n",
       "  1520.5,985.373 1522.63,1012.11 1524.77,1047.6 1526.91,1089.11 1529.05,1133.8 1531.19,1178.8 1533.33,1221.34 1535.47,1259 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 1552.59,1242.04 1554.73,1187.15 1556.87,1117.23 1559.01,1032.33 1561.15,934.159 \n",
       "  1563.29,826.862 1565.43,717.427 1567.57,615.341 1569.71,531.102 1571.85,473.741 1573.99,448.193 1576.13,453.803 1578.27,484.861 1580.41,532.991 1582.55,590.198 \n",
       "  1584.68,651.14 1586.82,713.797 1588.96,778.551 1591.1,846.442 1593.24,917.596 1595.38,990.528 1597.52,1062.44 1599.66,1130.11 1601.8,1190.72 1603.94,1242.38 \n",
       "  1606.08,1284.2 1608.22,1316.06 1610.36,1338.34 1612.5,1351.62 1614.64,1356.51 1616.78,1353.64 1618.92,1343.67 1621.06,1327.49 1623.2,1306.42 1625.34,1282.43 \n",
       "  1627.48,1258.26 1629.62,1237.2 1631.76,1222.63 1633.9,1217.2 1636.04,1222.09 1638.18,1236.69 1640.32,1258.79 1642.46,1285.31 1644.6,1313.09 1646.73,1339.52 \n",
       "  1648.87,1362.76 1651.01,1381.76 1653.15,1396.05 1655.29,1405.47 1657.43,1410.03 1659.57,1409.67 1661.71,1404.24 1663.85,1393.45 1665.99,1376.86 1668.13,1354 \n",
       "  1670.27,1324.47 1672.41,1288.26 1674.55,1246.04 1676.69,1199.53 1678.83,1151.76 1680.97,1107 1683.11,1070.25 1685.25,1046.18 1687.39,1037.88 1689.53,1045.87 \n",
       "  1691.67,1068.07 1693.81,1100.5 1695.95,1138.62 1698.09,1178.43 1700.23,1217.12 1702.37,1253.09 1704.51,1285.54 1706.64,1314.08 1708.78,1338.4 1710.92,1358.2 \n",
       "  1713.06,1373.14 1715.2,1382.91 1717.34,1387.2 1719.48,1385.71 1721.62,1378.09 1723.76,1363.96 1725.9,1342.95 1728.04,1314.85 1730.18,1279.88 1732.32,1238.96 \n",
       "  1734.46,1194.07 1736.6,1148.37 1738.74,1106.06 1740.88,1071.65 1743.02,1048.85 1745.16,1039.45 1747.3,1042.7 1749.44,1055.64 1751.58,1074.13 1753.72,1094.32 \n",
       "  1755.86,1113.69 1758,1131.45 1760.14,1148.29 1762.28,1165.52 1764.42,1184.16 1766.56,1204.25 1768.69,1224.75 1770.83,1243.81 1772.97,1259.43 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 1794.37,1291.92 1796.51,1312.02 \n",
       "  1798.65,1333.33 1800.79,1353.67 1802.93,1371.35 1805.07,1385.2 1807.21,1394.49 1809.35,1398.77 1811.49,1397.65 1813.63,1390.7 1815.77,1377.3 1817.91,1356.67 \n",
       "  1820.05,1327.84 1822.19,1289.8 1824.33,1241.69 1826.47,1183.17 1828.61,1114.81 1830.74,1038.61 1832.88,958.218 1835.02,878.813 1837.16,806.342 1839.3,746.284 \n",
       "  1841.44,702.406 1843.58,676.132 1845.72,666.818 1847.86,672.62 1850,691.248 1852.14,720.157 1854.28,756.342 1856.42,796.27 1858.56,836.334 1860.7,873.679 \n",
       "  1862.84,906.878 1864.98,936.004 1867.12,961.996 1869.26,985.672 1871.4,1006.92 1873.54,1024.52 1875.68,1036.7 1877.82,1042.1 1879.96,1040.68 1882.1,1034.36 \n",
       "  1884.24,1026.9 1886.38,1023.2 1888.52,1027.99 1890.66,1044.44 1892.79,1073.23 1894.93,1112.43 1897.07,1158.36 1899.21,1206.72 1901.35,1253.74 1903.49,1296.71 \n",
       "  1905.63,1334.14 1907.77,1365.57 1909.91,1391.21 1912.05,1411.68 1914.19,1427.75 1916.33,1440.2 1918.47,1449.77 1920.61,1457.06 1922.75,1462.59 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",
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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",
       "  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",
       "  621.841,1457.73 623.981,1450.67 626.12,1441.43 628.26,1429.4 630.4,1413.93 632.539,1394.29 634.679,1369.78 636.819,1339.94 638.958,1304.7 641.098,1264.78 \n",
       "  643.238,1221.96 645.377,1179.33 647.517,1141.13 649.657,1112.14 651.796,1096.6 653.936,1097.01 656.076,1113.3 658.215,1142.86 660.355,1181.39 662.494,1224.12 \n",
       "  664.634,1266.84 666.774,1306.55 668.913,1341.52 671.053,1371.08 673.193,1395.3 675.332,1414.69 677.472,1429.94 679.612,1441.76 681.751,1450.82 683.891,1457.69 \n",
       "  686.031,1462.85 688.17,1466.69 690.31,1469.48 692.45,1471.46 694.589,1472.77 696.729,1473.53 698.869,1473.8 701.008,1473.6 703.148,1472.92 705.288,1471.71 \n",
       "  707.427,1469.87 709.567,1467.26 711.707,1463.71 713.846,1458.97 715.986,1452.74 718.125,1444.7 720.265,1434.48 722.405,1421.76 724.544,1406.32 726.684,1388.21 \n",
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       "  1135.36,1014.92 1137.5,980.433 1139.64,964.995 1141.78,970.99 1143.92,997.266 1146.06,1039.49 1148.2,1091.47 1150.34,1146.81 1152.47,1200.13 1154.61,1247.69 \n",
       "  1156.75,1287.31 1158.89,1318.07 1161.03,1339.79 1163.17,1352.66 1165.31,1356.94 1167.45,1352.83 1169.59,1340.4 1171.73,1319.74 1173.87,1291.09 1176.01,1255.19 \n",
       "  1178.15,1213.58 1180.29,1168.92 1182.43,1124.96 1184.57,1086.15 1186.71,1056.7 1188.85,1039.36 1190.99,1034.39 1193.13,1039.4 1195.27,1049.93 1197.41,1060.86 \n",
       "  1199.55,1067.8 1201.69,1068.22 1203.83,1062 1205.97,1051.51 1208.11,1041.03 1210.25,1035.7 1212.39,1040.12 1214.52,1056.96 1216.66,1086.23 1218.8,1125.44 \n",
       "  1220.94,1170.56 1223.08,1217.22 1225.22,1261.75 1227.36,1301.58 1229.5,1335.34 1231.64,1362.56 1233.78,1383.37 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 1248.76,1383.32 1250.9,1366.41 1253.04,1346.98 1255.18,1326.59 1257.32,1307.33 1259.46,1291.61 1261.6,1281.68 \n",
       "  1263.74,1278.93 1265.88,1283.52 1268.02,1294.22 1270.16,1308.78 1272.3,1324.5 1274.44,1338.76 1276.57,1349.39 1278.71,1354.72 1280.85,1353.49 1282.99,1344.72 \n",
       "  1285.13,1327.52 1287.27,1301.16 1289.41,1265.03 1291.55,1218.96 1293.69,1163.46 1295.83,1100.05 1297.97,1031.44 1300.11,961.415 1302.25,894.192 1304.39,833.596 \n",
       "  1306.53,782.27 1308.67,741.461 1310.81,711.506 1312.95,692.69 1315.09,685.91 1317.23,692.731 1319.37,714.825 1321.51,753.076 1323.65,806.749 1325.79,873.12 \n",
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       "  1777.25,1276.39 1779.39,1239.28 1781.53,1199.57 1783.67,1159.72 1785.81,1123.36 1787.95,1094.84 1790.09,1078.33 1792.23,1076.55 1794.37,1089.81 1796.51,1115.84 \n",
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       "  1820.05,1231.44 1822.19,1196.04 1824.33,1159.29 1826.47,1125.87 1828.61,1100.82 1830.74,1088.51 1832.88,1091.42 1835.02,1109.44 1837.16,1139.92 1839.3,1178.58 \n",
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       "  1862.84,1377.62 1864.98,1357.21 1867.12,1328.14 1869.26,1289.13 1871.4,1238.88 1873.54,1176.41 1875.68,1101.48 1877.82,1015.29 1879.96,921.093 1882.1,824.622 \n",
       "  1884.24,734.034 1886.38,658.94 1888.52,608.614 1890.66,589.755 1892.79,604.602 1894.93,650.192 1897.07,719.11 1899.21,801.413 1901.35,886.911 1903.49,967.006 \n",
       "  1905.63,1035.66 1907.77,1089.55 1909.91,1127.75 1912.05,1151.29 1914.19,1162.72 1916.33,1165.76 1918.47,1164.86 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 1939.87,1292.49 1942.01,1285.68 1944.15,1269.64 1946.29,1245.09 \n",
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       "  1991.22,1460.47 1993.36,1465.17 1995.5,1468.7 1997.64,1471.37 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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       "  664.634,1470.46 666.774,1469.86 668.913,1468.48 671.053,1466.22 673.193,1462.92 675.332,1458.36 677.472,1452.27 679.612,1444.31 681.751,1434.14 683.891,1421.43 \n",
       "  686.031,1405.97 688.17,1387.79 690.31,1367.3 692.45,1345.51 694.589,1324.04 696.729,1305.05 698.869,1290.9 701.008,1283.52 703.148,1283.89 705.288,1291.6 \n",
       "  707.427,1305.03 709.567,1321.74 711.707,1339.1 713.846,1354.77 715.986,1366.92 718.125,1374.22 720.265,1375.69 722.405,1370.51 724.544,1357.83 726.684,1336.71 \n",
       "  728.824,1306.05 730.963,1264.7 733.103,1211.72 735.243,1146.71 737.382,1070.45 739.522,985.475 741.662,896.617 743.801,811.024 745.941,737.36 748.081,684.052 \n",
       "  750.22,656.984 752.36,657.545 754.5,681.974 756.639,722.377 758.779,768.937 760.919,812.389 763.058,845.9 765.198,866.024 767.337,872.81 769.477,869.298 \n",
       "  771.617,860.642 773.756,853.014 775.896,852.445 778.036,863.693 780.175,889.31 782.315,929.109 784.455,980.273 786.594,1038.13 788.734,1097.33 790.874,1152.96 \n",
       "  793.013,1201.25 795.153,1239.72 797.293,1267.04 799.432,1282.66 801.572,1286.49 803.712,1278.72 805.851,1259.82 807.991,1230.69 810.131,1192.97 812.27,1149.41 \n",
       "  814.41,1104.02 816.549,1061.93 818.689,1028.71 820.829,1009.28 822.968,1006.67 825.108,1021.3 827.248,1050.98 829.387,1091.65 831.527,1138.4 833.667,1186.52 \n",
       "  835.806,1232.11 837.946,1272.38 840.086,1305.63 842.225,1331.03 844.365,1348.28 846.505,1357.36 848.644,1358.28 850.784,1351.03 852.924,1335.5 855.063,1311.6 \n",
       "  857.203,1279.44 859.343,1239.67 861.482,1193.76 863.622,1144.25 865.762,1094.69 867.901,1049.14 870.041,1011.13 872.18,982.474 874.32,962.349 876.46,947.271 \n",
       "  878.599,931.986 880.739,911.001 882.879,880.166 885.018,837.863 887.158,785.534 889.298,727.42 891.437,669.465 893.577,617.564 895.717,575.668 897.856,544.512 \n",
       "  899.996,521.503 902.136,501.725 904.275,479.428 906.415,449.365 908.555,407.795 910.694,353.37 912.834,288.078 914.974,217.987 917.113,153.146 919.253,106.083 \n",
       "  921.392,88.9544 923.532,110.264 925.672,172.454 927.811,271.362 929.951,397.603 932.091,539.136 934.23,683.983 936.37,822.279 938.51,947.276 940.649,1055.39 \n",
       "  942.789,1145.62 944.929,1218.73 947.068,1276.45 949.208,1320.92 951.348,1354.23 953.487,1378.25 955.627,1394.49 957.767,1404.09 959.906,1407.82 962.046,1406.16 \n",
       "  964.186,1399.36 966.325,1387.52 968.465,1370.79 970.604,1349.53 972.744,1324.59 974.884,1297.48 977.023,1270.56 979.163,1246.86 981.303,1229.65 983.442,1221.64 \n",
       "  985.582,1224.24 987.722,1237.09 989.861,1258.21 992.001,1284.6 994.141,1313.09 996.28,1341.02 998.42,1366.5 1000.56,1388.49 1002.7,1406.6 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 1021.96,1423.35 1024.1,1408.81 1026.24,1389.33 \n",
       "  1028.38,1364.03 1030.51,1332.06 1032.65,1292.82 1034.79,1246.27 1036.93,1193.36 1039.07,1136.48 1041.21,1079.72 1043.35,1028.71 1045.49,989.845 1047.63,968.81 \n",
       "  1049.77,968.976 1051.91,990.306 1054.05,1029.37 1056.19,1080.44 1058.33,1137.14 1060.47,1193.82 1062.61,1246.43 1064.75,1292.58 1066.89,1331.32 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 1084.01,1431.37 1086.15,1425.13 1088.29,1414.84 1090.43,1400.02 \n",
       "  1092.56,1380.1 1094.7,1354.52 1096.84,1322.95 1098.98,1285.54 1101.12,1243.24 1103.26,1198.12 1105.4,1153.5 1107.54,1113.65 1109.68,1083.02 1111.82,1065.05 \n",
       "  1113.96,1061.01 1116.1,1069.42 1118.24,1086.37 1120.38,1106.54 1122.52,1124.59 1124.66,1136.19 1126.8,1138.75 1128.94,1131.73 1131.08,1116.64 1133.22,1096.97 \n",
       "  1135.36,1077.62 1137.5,1064.09 1139.64,1061.18 1141.78,1071.78 1143.92,1096.03 1146.06,1131.51 1148.2,1174.17 1150.34,1219.48 1152.47,1263.57 1154.61,1303.71 \n",
       "  1156.75,1338.36 1158.89,1367.01 1161.03,1389.77 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 1186.71,1346.67 1188.85,1326.06 1190.99,1307.6 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 1205.97,1350.75 1208.11,1371.5 1210.25,1390.47 1212.39,1406.74 1214.52,1419.92 1216.66,1429.94 1218.8,1436.88 \n",
       "  1220.94,1440.88 1223.08,1442 1225.22,1440.18 1227.36,1435.21 1229.5,1426.67 1231.64,1413.94 1233.78,1396.1 1235.92,1372.01 1238.06,1340.25 1240.2,1299.22 \n",
       "  1242.34,1247.24 1244.48,1182.88 1246.62,1105.32 1248.76,1015 1250.9,914.262 1253.04,807.943 1255.18,703.547 1257.32,610.681 1259.46,539.639 1261.6,499.346 \n",
       "  1263.74,495.257 1265.88,527.96 1268.02,593.015 1270.16,682.102 1272.3,785.027 1274.44,891.862 1276.57,994.548 1278.71,1087.66 1280.85,1168.36 1282.99,1235.88 \n",
       "  1285.13,1290.86 1287.27,1334.7 1289.41,1369.08 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 1368.58,1478.15 \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 1396.4,1433.21 1398.54,1419.82 1400.67,1403.4 1402.81,1383.74 1404.95,1360.96 1407.09,1335.55 1409.23,1308.45 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 1432.77,1277.15 \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 1449.89,1364.75 1452.03,1377.57 1454.17,1391.29 \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 1490.54,1414.98 1492.68,1395.71 1494.82,1371.17 1496.96,1340.55 \n",
       "  1499.1,1303.3 1501.24,1259.39 1503.38,1209.68 1505.52,1156.2 1507.66,1102.28 1509.8,1052.32 1511.94,1011.02 1514.08,982.35 1516.22,968.613 1518.36,970.089 \n",
       "  1520.5,985.373 1522.63,1012.11 1524.77,1047.6 1526.91,1089.11 1529.05,1133.8 1531.19,1178.8 1533.33,1221.34 1535.47,1259 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 1552.59,1242.04 1554.73,1187.15 1556.87,1117.23 1559.01,1032.33 1561.15,934.159 \n",
       "  1563.29,826.862 1565.43,717.427 1567.57,615.341 1569.71,531.102 1571.85,473.741 1573.99,448.193 1576.13,453.803 1578.27,484.861 1580.41,532.991 1582.55,590.198 \n",
       "  1584.68,651.14 1586.82,713.797 1588.96,778.551 1591.1,846.442 1593.24,917.596 1595.38,990.528 1597.52,1062.44 1599.66,1130.11 1601.8,1190.72 1603.94,1242.38 \n",
       "  1606.08,1284.2 1608.22,1316.06 1610.36,1338.34 1612.5,1351.62 1614.64,1356.51 1616.78,1353.64 1618.92,1343.67 1621.06,1327.49 1623.2,1306.42 1625.34,1282.43 \n",
       "  1627.48,1258.26 1629.62,1237.2 1631.76,1222.63 1633.9,1217.2 1636.04,1222.09 1638.18,1236.69 1640.32,1258.79 1642.46,1285.31 1644.6,1313.09 1646.73,1339.52 \n",
       "  1648.87,1362.76 1651.01,1381.76 1653.15,1396.05 1655.29,1405.47 1657.43,1410.03 1659.57,1409.67 1661.71,1404.24 1663.85,1393.45 1665.99,1376.86 1668.13,1354 \n",
       "  1670.27,1324.47 1672.41,1288.26 1674.55,1246.04 1676.69,1199.53 1678.83,1151.76 1680.97,1107 1683.11,1070.25 1685.25,1046.18 1687.39,1037.88 1689.53,1045.87 \n",
       "  1691.67,1068.07 1693.81,1100.5 1695.95,1138.62 1698.09,1178.43 1700.23,1217.12 1702.37,1253.09 1704.51,1285.54 1706.64,1314.08 1708.78,1338.4 1710.92,1358.2 \n",
       "  1713.06,1373.14 1715.2,1382.91 1717.34,1387.2 1719.48,1385.71 1721.62,1378.09 1723.76,1363.96 1725.9,1342.95 1728.04,1314.85 1730.18,1279.88 1732.32,1238.96 \n",
       "  1734.46,1194.07 1736.6,1148.37 1738.74,1106.06 1740.88,1071.65 1743.02,1048.85 1745.16,1039.45 1747.3,1042.7 1749.44,1055.64 1751.58,1074.13 1753.72,1094.32 \n",
       "  1755.86,1113.69 1758,1131.45 1760.14,1148.29 1762.28,1165.52 1764.42,1184.16 1766.56,1204.25 1768.69,1224.75 1770.83,1243.81 1772.97,1259.43 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 1794.37,1291.92 1796.51,1312.02 \n",
       "  1798.65,1333.33 1800.79,1353.67 1802.93,1371.35 1805.07,1385.2 1807.21,1394.49 1809.35,1398.77 1811.49,1397.65 1813.63,1390.7 1815.77,1377.3 1817.91,1356.67 \n",
       "  1820.05,1327.84 1822.19,1289.8 1824.33,1241.69 1826.47,1183.17 1828.61,1114.81 1830.74,1038.61 1832.88,958.218 1835.02,878.813 1837.16,806.342 1839.3,746.284 \n",
       "  1841.44,702.406 1843.58,676.132 1845.72,666.818 1847.86,672.62 1850,691.248 1852.14,720.157 1854.28,756.342 1856.42,796.27 1858.56,836.334 1860.7,873.679 \n",
       "  1862.84,906.878 1864.98,936.004 1867.12,961.996 1869.26,985.672 1871.4,1006.92 1873.54,1024.52 1875.68,1036.7 1877.82,1042.1 1879.96,1040.68 1882.1,1034.36 \n",
       "  1884.24,1026.9 1886.38,1023.2 1888.52,1027.99 1890.66,1044.44 1892.79,1073.23 1894.93,1112.43 1897.07,1158.36 1899.21,1206.72 1901.35,1253.74 1903.49,1296.71 \n",
       "  1905.63,1334.14 1907.77,1365.57 1909.91,1391.21 1912.05,1411.68 1914.19,1427.75 1916.33,1440.2 1918.47,1449.77 1920.61,1457.06 1922.75,1462.59 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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       "  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",
       "  621.841,1457.73 623.981,1450.67 626.12,1441.43 628.26,1429.4 630.4,1413.93 632.539,1394.29 634.679,1369.78 636.819,1339.94 638.958,1304.7 641.098,1264.78 \n",
       "  643.238,1221.96 645.377,1179.33 647.517,1141.13 649.657,1112.14 651.796,1096.6 653.936,1097.01 656.076,1113.3 658.215,1142.86 660.355,1181.39 662.494,1224.12 \n",
       "  664.634,1266.84 666.774,1306.55 668.913,1341.52 671.053,1371.08 673.193,1395.3 675.332,1414.69 677.472,1429.94 679.612,1441.76 681.751,1450.82 683.891,1457.69 \n",
       "  686.031,1462.85 688.17,1466.69 690.31,1469.48 692.45,1471.46 694.589,1472.77 696.729,1473.53 698.869,1473.8 701.008,1473.6 703.148,1472.92 705.288,1471.71 \n",
       "  707.427,1469.87 709.567,1467.26 711.707,1463.71 713.846,1458.97 715.986,1452.74 718.125,1444.7 720.265,1434.48 722.405,1421.76 724.544,1406.32 726.684,1388.21 \n",
       "  728.824,1367.85 730.963,1346.27 733.103,1325.11 735.243,1306.56 737.382,1293.01 739.522,1286.45 741.662,1287.88 743.801,1296.99 745.941,1312.24 748.081,1331.34 \n",
       "  750.22,1351.86 752.36,1371.72 754.5,1389.41 756.639,1404.05 758.779,1415.18 760.919,1422.63 763.058,1426.35 765.198,1426.26 767.337,1422.16 769.477,1413.69 \n",
       "  771.617,1400.29 773.756,1381.18 775.896,1355.45 778.036,1322.11 780.175,1280.32 782.315,1229.64 784.455,1170.49 786.594,1104.57 788.734,1035.21 790.874,967.332 \n",
       "  793.013,906.866 795.153,859.516 797.293,829.32 799.432,817.644 801.572,823.157 803.712,842.795 805.851,873.053 807.991,910.845 810.131,953.585 812.27,998.727 \n",
       "  814.41,1043.32 816.549,1083.93 818.689,1117.01 820.829,1139.38 822.968,1148.63 825.108,1143.38 827.248,1123.45 829.387,1090.14 831.527,1046.43 833.667,997.27 \n",
       "  835.806,949.385 837.946,910.543 840.086,888.069 842.225,887.013 844.365,908.735 846.505,950.577 848.644,1006.85 850.784,1070.55 852.924,1135.14 855.063,1195.59 \n",
       "  857.203,1248.74 859.343,1293.09 861.482,1328.31 863.622,1354.77 865.762,1373.09 867.901,1383.94 870.041,1387.78 872.18,1384.89 874.32,1375.31 876.46,1358.91 \n",
       "  878.599,1335.56 880.739,1305.32 882.879,1268.78 885.018,1227.39 887.158,1183.73 889.298,1141.61 891.437,1105.61 893.577,1080.21 895.717,1068.59 897.856,1071.59 \n",
       "  899.996,1087.42 902.136,1112.24 904.275,1141.39 906.415,1170.61 908.555,1196.91 910.694,1218.8 912.834,1236 914.974,1248.84 917.113,1257.64 919.253,1262.26 \n",
       "  921.392,1262.01 923.532,1255.84 925.672,1242.79 927.811,1222.5 929.951,1195.67 932.091,1164.39 934.23,1132.22 936.37,1103.88 938.51,1084.38 940.649,1077.81 \n",
       "  942.789,1086.18 944.929,1108.78 947.068,1142.49 949.208,1182.79 951.348,1224.97 953.487,1265.07 955.627,1300.31 957.767,1329.07 959.906,1350.58 962.046,1364.59 \n",
       "  964.186,1371.06 966.325,1369.92 968.465,1360.93 970.604,1343.63 972.744,1317.4 974.884,1281.54 977.023,1235.48 979.163,1179.05 981.303,1112.81 983.442,1038.38 \n",
       "  985.582,958.51 987.722,877.134 989.861,799.032 992.001,729.326 994.141,672.709 996.28,632.413 998.42,609.105 1000.56,600.184 1002.7,599.987 1004.84,601.071 \n",
       "  1006.98,596.182 1009.12,580.151 1011.26,551.091 1013.4,510.6 1015.54,463.076 1017.68,414.486 1019.82,371.047 1021.96,338.184 1024.1,319.91 1026.24,318.524 \n",
       "  1028.38,334.559 1030.51,366.972 1032.65,413.581 1034.79,471.531 1036.93,537.585 1039.07,608.236 1041.21,679.965 1043.35,749.791 1045.49,815.957 1047.63,878.283 \n",
       "  1049.77,937.86 1051.91,996.204 1054.05,1054.29 1056.19,1111.98 1058.33,1168.1 1060.47,1220.94 1062.61,1268.89 1064.75,1310.85 1066.89,1346.41 1069.03,1375.71 \n",
       "  1071.17,1399.31 1073.31,1417.98 1075.45,1432.52 1077.59,1443.71 1079.73,1452.21 1081.87,1458.61 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 1107.54,1455.24 1109.68,1447.67 1111.82,1437.61 \n",
       "  1113.96,1424.4 1116.1,1407.21 1118.24,1385.14 1120.38,1357.21 1122.52,1322.56 1124.66,1280.67 1126.8,1231.71 1128.94,1176.98 1131.08,1119.32 1133.22,1063.32 \n",
       "  1135.36,1014.92 1137.5,980.433 1139.64,964.995 1141.78,970.99 1143.92,997.266 1146.06,1039.49 1148.2,1091.47 1150.34,1146.81 1152.47,1200.13 1154.61,1247.69 \n",
       "  1156.75,1287.31 1158.89,1318.07 1161.03,1339.79 1163.17,1352.66 1165.31,1356.94 1167.45,1352.83 1169.59,1340.4 1171.73,1319.74 1173.87,1291.09 1176.01,1255.19 \n",
       "  1178.15,1213.58 1180.29,1168.92 1182.43,1124.96 1184.57,1086.15 1186.71,1056.7 1188.85,1039.36 1190.99,1034.39 1193.13,1039.4 1195.27,1049.93 1197.41,1060.86 \n",
       "  1199.55,1067.8 1201.69,1068.22 1203.83,1062 1205.97,1051.51 1208.11,1041.03 1210.25,1035.7 1212.39,1040.12 1214.52,1056.96 1216.66,1086.23 1218.8,1125.44 \n",
       "  1220.94,1170.56 1223.08,1217.22 1225.22,1261.75 1227.36,1301.58 1229.5,1335.34 1231.64,1362.56 1233.78,1383.37 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 1248.76,1383.32 1250.9,1366.41 1253.04,1346.98 1255.18,1326.59 1257.32,1307.33 1259.46,1291.61 1261.6,1281.68 \n",
       "  1263.74,1278.93 1265.88,1283.52 1268.02,1294.22 1270.16,1308.78 1272.3,1324.5 1274.44,1338.76 1276.57,1349.39 1278.71,1354.72 1280.85,1353.49 1282.99,1344.72 \n",
       "  1285.13,1327.52 1287.27,1301.16 1289.41,1265.03 1291.55,1218.96 1293.69,1163.46 1295.83,1100.05 1297.97,1031.44 1300.11,961.415 1302.25,894.192 1304.39,833.596 \n",
       "  1306.53,782.27 1308.67,741.461 1310.81,711.506 1312.95,692.69 1315.09,685.91 1317.23,692.731 1319.37,714.825 1321.51,753.076 1323.65,806.749 1325.79,873.12 \n",
       "  1327.93,947.767 1330.07,1025.44 1332.21,1101.14 1334.35,1170.97 1336.49,1232.52 1338.62,1284.79 1340.76,1327.89 1342.9,1362.59 1345.04,1390.04 1347.18,1411.44 \n",
       "  1349.32,1427.94 1351.46,1440.57 1353.6,1450.17 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 1460.58,1365.74 1462.72,1357.8 1464.86,1352.38 1467,1348.92 1469.14,1346.4 1471.28,1343.67 1473.42,1339.83 1475.56,1334.48 \n",
       "  1477.7,1327.79 1479.84,1320.32 1481.98,1312.67 1484.12,1305.2 1486.26,1297.84 1488.4,1290.19 1490.54,1281.88 1492.68,1272.99 1494.82,1264.43 1496.96,1257.82 \n",
       "  1499.1,1255.21 1501.24,1258.36 1503.38,1268.13 1505.52,1284.15 1507.66,1304.93 1509.8,1328.34 1511.94,1352.24 1514.08,1374.9 1516.22,1395.16 1518.36,1412.48 \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 1554.73,1375.58 1556.87,1345.02 1559.01,1307.02 1561.15,1260.97 \n",
       "  1563.29,1206.97 1565.43,1146.25 1567.57,1081.63 1569.71,1017.64 1571.85,960.197 1573.99,915.624 1576.13,889.122 1578.27,883.24 1580.41,896.961 1582.55,925.816 \n",
       "  1584.68,962.956 1586.82,1000.66 1588.96,1031.73 1591.1,1050.34 1593.24,1052.43 1595.38,1035.7 1597.52,999.661 1599.66,945.672 1601.8,877.136 1603.94,799.555 \n",
       "  1606.08,720.198 1608.22,647.185 1610.36,588.09 1612.5,548.483 1614.64,530.941 1616.78,534.819 1618.92,556.736 1621.06,591.587 1623.2,633.893 1625.34,679.239 \n",
       "  1627.48,725.358 1629.62,772.394 1631.76,822.17 1633.9,876.758 1636.04,937.063 1638.18,1002.11 1640.32,1069.28 1642.46,1135.2 1644.6,1196.71 1646.73,1251.57 \n",
       "  1648.87,1298.63 1651.01,1337.73 1653.15,1369.33 1655.29,1394.32 1657.43,1413.69 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 1687.39,1377.93 1689.53,1352.7 \n",
       "  1691.67,1323.82 1693.81,1292.42 1695.95,1260.44 1698.09,1230.47 1700.23,1205.34 1702.37,1187.3 1704.51,1177.25 1706.64,1174.24 1708.78,1175.62 1710.92,1177.63 \n",
       "  1713.06,1176.43 1715.2,1168.95 1717.34,1153.57 1719.48,1130.47 1721.62,1101.8 1723.76,1071.48 1725.9,1044.66 1728.04,1026.63 1730.18,1021.58 1732.32,1031.51 \n",
       "  1734.46,1055.81 1736.6,1091.7 1738.74,1135.12 1740.88,1181.82 1743.02,1228.06 1745.16,1271.03 1747.3,1308.93 1749.44,1340.84 1751.58,1366.5 1753.72,1386.07 \n",
       "  1755.86,1399.93 1758,1408.5 1760.14,1412.16 1762.28,1411.16 1764.42,1405.64 1766.56,1395.64 1768.69,1381.11 1770.83,1361.96 1772.97,1338.12 1775.11,1309.54 \n",
       "  1777.25,1276.39 1779.39,1239.28 1781.53,1199.57 1783.67,1159.72 1785.81,1123.36 1787.95,1094.84 1790.09,1078.33 1792.23,1076.55 1794.37,1089.81 1796.51,1115.84 \n",
       "  1798.65,1150.41 1800.79,1188.48 1802.93,1225.33 1805.07,1257.25 1807.21,1281.68 1809.35,1297.13 1811.49,1302.85 1813.63,1298.64 1815.77,1284.72 1817.91,1261.82 \n",
       "  1820.05,1231.44 1822.19,1196.04 1824.33,1159.29 1826.47,1125.87 1828.61,1100.82 1830.74,1088.51 1832.88,1091.42 1835.02,1109.44 1837.16,1139.92 1839.3,1178.58 \n",
       "  1841.44,1220.68 1843.58,1262.07 1845.72,1299.73 1847.86,1331.85 1850,1357.6 1852.14,1376.79 1854.28,1389.56 1856.42,1396.09 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 1871.4,1238.88 1873.54,1176.41 1875.68,1101.48 1877.82,1015.29 1879.96,921.093 1882.1,824.622 \n",
       "  1884.24,734.034 1886.38,658.94 1888.52,608.614 1890.66,589.755 1892.79,604.602 1894.93,650.192 1897.07,719.11 1899.21,801.413 1901.35,886.911 1903.49,967.006 \n",
       "  1905.63,1035.66 1907.77,1089.55 1909.91,1127.75 1912.05,1151.29 1914.19,1162.72 1916.33,1165.76 1918.47,1164.86 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 1939.87,1292.49 1942.01,1285.68 1944.15,1269.64 1946.29,1245.09 \n",
       "  1948.43,1213.69 1950.57,1178.32 1952.71,1143.08 1954.84,1112.95 1956.98,1092.95 1959.12,1086.95 1961.26,1096.56 1963.4,1120.68 1965.54,1155.93 1967.68,1197.73 \n",
       "  1969.82,1241.53 1971.96,1283.68 1974.1,1321.78 1976.24,1354.64 1978.38,1381.99 1980.52,1404.16 1982.66,1421.75 1984.8,1435.51 1986.94,1446.14 1989.08,1454.28 \n",
       "  1991.22,1460.47 1993.36,1465.17 1995.5,1468.7 1997.64,1471.37 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: 0:00:13\u001b[K\rDiagonalising Hamiltonian kblocks:   8%|█▎              |  ETA: 0:00:06\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:  18%|██▉             |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  22%|███▌            |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  26%|████▏           |  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:  68%|██████████▉     |  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:  82%|█████████████▏  |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  86%|█████████████▊  |  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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