{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Micromagnetic model\n",
    "\n",
    "## Mesh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import oommfc as oc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "L = 100e-9\n",
    "d = 10e-9\n",
    "mesh = oc.Mesh(p1=(0, 0, 0), p2=(L, L, L), cell=(d, d, d), name=\"mesh\")\n",
    "mesh"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The domain edge lengths in x, y, and z directions are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1e-07, 1e-07, 1e-07)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mesh.l"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The number of cells in all three directions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10, 10, 10)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mesh.n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The centre point of the mesh:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(5e-08, 5e-08, 5e-08)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mesh.centre"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## System"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The basic block of our micromagnetic model is the system object. It is fully defined if:\n",
    "\n",
    "1. Hamiltonian,\n",
    "2. dynamics equation,\n",
    "3. magnetisation.\n",
    "\n",
    "are provided. The system is then \"driven\" in phase space using particular drivers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "system = oc.System(name=\"system\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hamiltonian"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "exchange = oc.Exchange(A=1e-12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$A (\\nabla \\mathbf{m})^{2}$"
      ],
      "text/plain": [
       "Exchange(A=1e-12, name=\"exchange\")"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "exchange"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1e-12"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "exchange.A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Exchange(A=1e-12, name=\"exchange\")'"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "repr(exchange)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "oommfc.hamiltonian.hamiltonian.Hamiltonian"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hamiltonian = exchange + oc.Zeeman(H=(1e6, 0, 0))\n",
    "\n",
    "type(hamiltonian)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "system.hamiltonian = hamiltonian"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\mathcal{H}=A (\\nabla \\mathbf{m})^{2}-\\mu_{0}M_\\text{s} \\mathbf{m} \\cdot \\mathbf{H}$"
      ],
      "text/plain": [
       "Exchange(A=1e-12, name=\"exchange\") + Zeeman(H=(1000000.0, 0, 0), name=\"zeeman\")"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "system.hamiltonian"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1e-12"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "system.hamiltonian.exchange.A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000000.0, 0, 0)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "system.hamiltonian.zeeman.H"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "system.hamiltonian += oc.Demag(name=\"energy_term_name\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$-\\frac{1}{2}\\mu_{0}M_\\text{s}\\mathbf{m} \\cdot \\mathbf{H}_\\text{d}$"
      ],
      "text/plain": [
       "Demag(name=\"energy_term_name\")"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "system.hamiltonian.energy_term_name"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dynamics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "system.dynamics = oc.Precession(gamma=2.211e5) + oc.Damping(alpha=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\frac{\\partial \\mathbf{m}}{\\partial t}=-\\gamma_{0}^{*} \\mathbf{m} \\times \\mathbf{H}_\\text{eff}+\\alpha \\mathbf{m} \\times\\frac{\\partial \\mathbf{m}}{\\partial t}$"
      ],
      "text/plain": [
       "Precession(gamma=221100.0, name=\"precession\") + Damping(alpha=0.1, name=\"damping\")"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "system.dynamics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Magnetisation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "import discretisedfield as df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "Ms = 8e5\n",
    "m = df.Field(mesh, value=(1, 0, 1), norm=Ms, name=\"m\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(565685.424949238, 0.0, 565685.424949238)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p = (50e-9, 50e-9, 5e-9)\n",
    "m(p)  # sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "m.f = lambda pos: (pos[0]+pos[2]+1, pos[2], 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "system.m = m"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Drivers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MinDriver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2018/3/26 16:34: Calling OOMMF (system/system.mif) ... [0.7s]\n"
     ]
    }
   ],
   "source": [
    "md = oc.MinDriver()\n",
    "md.drive(system)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(796387.7336532547, -8.731149137020111e-14, -0.00040152357437182217)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "system.m.average"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.plot_plane(\"z\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "system.hamiltonian.zeeman.H = (0, 1e7, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2018/3/26 16:34: Calling OOMMF (system/system.mif) ... [0.6s]\n"
     ]
    }
   ],
   "source": [
    "md.drive(system)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.plot_plane(\"z\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Time driver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "system.hamiltonian += oc.UniaxialAnisotropy(K1=5e3, u=(0, 0, 1))\n",
    "system.hamiltonian.zeeman.H = (1e6, 0, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2018/3/26 16:34: Calling OOMMF (system/system.mif) ... [1.2s]\n"
     ]
    }
   ],
   "source": [
    "td = oc.TimeDriver()\n",
    "td.drive(system, t=0.2e-9, n=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.plot_plane(\"z\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>E</th>\n",
       "      <th>Ecount</th>\n",
       "      <th>max_dm/dt</th>\n",
       "      <th>dE/dt</th>\n",
       "      <th>deltaE</th>\n",
       "      <th>E_Exchange</th>\n",
       "      <th>max_spin_angle</th>\n",
       "      <th>stage_max_spin_angle</th>\n",
       "      <th>run_max_spin_angle</th>\n",
       "      <th>E_Zeeman</th>\n",
       "      <th>E_Demag</th>\n",
       "      <th>E_UniaxialAnisotropy</th>\n",
       "      <th>iteration</th>\n",
       "      <th>stage_iteration</th>\n",
       "      <th>stage</th>\n",
       "      <th>mx</th>\n",
       "      <th>my</th>\n",
       "      <th>mz</th>\n",
       "      <th>last_time_step</th>\n",
       "      <th>t</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>4.937978e-17</td>\n",
       "      <td>49.0</td>\n",
       "      <td>15504.169456</td>\n",
       "      <td>-2.199822e-05</td>\n",
       "      <td>-3.014085e-17</td>\n",
       "      <td>2.434921e-20</td>\n",
       "      <td>5.843010</td>\n",
       "      <td>5.843010</td>\n",
       "      <td>5.843010</td>\n",
       "      <td>-8.571958e-17</td>\n",
       "      <td>1.329931e-16</td>\n",
       "      <td>2.081906e-18</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.085267</td>\n",
       "      <td>0.635764</td>\n",
       "      <td>0.762966</td>\n",
       "      <td>1.365857e-12</td>\n",
       "      <td>4.000000e-12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-3.745400e-17</td>\n",
       "      <td>62.0</td>\n",
       "      <td>15355.073463</td>\n",
       "      <td>-2.135642e-05</td>\n",
       "      <td>-4.007768e-17</td>\n",
       "      <td>6.193981e-20</td>\n",
       "      <td>10.194041</td>\n",
       "      <td>10.194041</td>\n",
       "      <td>10.194041</td>\n",
       "      <td>-1.715614e-16</td>\n",
       "      <td>1.336715e-16</td>\n",
       "      <td>3.739732e-19</td>\n",
       "      <td>11.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.170655</td>\n",
       "      <td>-0.174363</td>\n",
       "      <td>0.961511</td>\n",
       "      <td>1.860994e-12</td>\n",
       "      <td>8.000000e-12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-1.210936e-16</td>\n",
       "      <td>75.0</td>\n",
       "      <td>15475.885770</td>\n",
       "      <td>-2.045376e-05</td>\n",
       "      <td>-3.639889e-17</td>\n",
       "      <td>7.732737e-20</td>\n",
       "      <td>15.015990</td>\n",
       "      <td>15.015990</td>\n",
       "      <td>15.015990</td>\n",
       "      <td>-2.616382e-16</td>\n",
       "      <td>1.366673e-16</td>\n",
       "      <td>3.800002e-18</td>\n",
       "      <td>14.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.260256</td>\n",
       "      <td>-0.827733</td>\n",
       "      <td>0.475004</td>\n",
       "      <td>1.762302e-12</td>\n",
       "      <td>1.200000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-2.011240e-16</td>\n",
       "      <td>88.0</td>\n",
       "      <td>15054.641932</td>\n",
       "      <td>-1.954275e-05</td>\n",
       "      <td>-3.291024e-17</td>\n",
       "      <td>1.013508e-19</td>\n",
       "      <td>16.748167</td>\n",
       "      <td>16.748167</td>\n",
       "      <td>16.748167</td>\n",
       "      <td>-3.440782e-16</td>\n",
       "      <td>1.384426e-16</td>\n",
       "      <td>4.410329e-18</td>\n",
       "      <td>17.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.342261</td>\n",
       "      <td>-0.870443</td>\n",
       "      <td>-0.316834</td>\n",
       "      <td>1.666791e-12</td>\n",
       "      <td>1.600000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-2.770202e-16</td>\n",
       "      <td>101.0</td>\n",
       "      <td>14069.762967</td>\n",
       "      <td>-1.835674e-05</td>\n",
       "      <td>-3.243005e-17</td>\n",
       "      <td>1.405714e-19</td>\n",
       "      <td>19.713938</td>\n",
       "      <td>19.713938</td>\n",
       "      <td>19.713938</td>\n",
       "      <td>-4.130360e-16</td>\n",
       "      <td>1.344386e-16</td>\n",
       "      <td>1.436607e-18</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0.410854</td>\n",
       "      <td>-0.304328</td>\n",
       "      <td>-0.842589</td>\n",
       "      <td>1.740225e-12</td>\n",
       "      <td>2.000000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>-3.478000e-16</td>\n",
       "      <td>114.0</td>\n",
       "      <td>13129.912239</td>\n",
       "      <td>-1.703618e-05</td>\n",
       "      <td>-2.758906e-17</td>\n",
       "      <td>1.513495e-19</td>\n",
       "      <td>20.389262</td>\n",
       "      <td>20.897681</td>\n",
       "      <td>20.897681</td>\n",
       "      <td>-4.818787e-16</td>\n",
       "      <td>1.317493e-16</td>\n",
       "      <td>2.178021e-18</td>\n",
       "      <td>23.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.479334</td>\n",
       "      <td>0.433170</td>\n",
       "      <td>-0.745181</td>\n",
       "      <td>1.594995e-12</td>\n",
       "      <td>2.400000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-4.133816e-16</td>\n",
       "      <td>127.0</td>\n",
       "      <td>12642.331456</td>\n",
       "      <td>-1.574731e-05</td>\n",
       "      <td>-2.518676e-17</td>\n",
       "      <td>1.894826e-19</td>\n",
       "      <td>17.674614</td>\n",
       "      <td>20.389262</td>\n",
       "      <td>20.897681</td>\n",
       "      <td>-5.510081e-16</td>\n",
       "      <td>1.326767e-16</td>\n",
       "      <td>4.760248e-18</td>\n",
       "      <td>26.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0.548098</td>\n",
       "      <td>0.805275</td>\n",
       "      <td>-0.136522</td>\n",
       "      <td>1.573383e-12</td>\n",
       "      <td>2.800000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-4.733437e-16</td>\n",
       "      <td>140.0</td>\n",
       "      <td>11522.221837</td>\n",
       "      <td>-1.417117e-05</td>\n",
       "      <td>-2.140401e-17</td>\n",
       "      <td>2.957435e-19</td>\n",
       "      <td>18.096429</td>\n",
       "      <td>18.096429</td>\n",
       "      <td>20.897681</td>\n",
       "      <td>-6.074985e-16</td>\n",
       "      <td>1.302324e-16</td>\n",
       "      <td>3.626618e-18</td>\n",
       "      <td>29.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.604290</td>\n",
       "      <td>0.577910</td>\n",
       "      <td>0.499801</td>\n",
       "      <td>1.477491e-12</td>\n",
       "      <td>3.200000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-5.266426e-16</td>\n",
       "      <td>153.0</td>\n",
       "      <td>11135.846711</td>\n",
       "      <td>-1.252402e-05</td>\n",
       "      <td>-1.799357e-17</td>\n",
       "      <td>3.928615e-19</td>\n",
       "      <td>20.508025</td>\n",
       "      <td>20.508025</td>\n",
       "      <td>20.897681</td>\n",
       "      <td>-6.584845e-16</td>\n",
       "      <td>1.289977e-16</td>\n",
       "      <td>2.451356e-18</td>\n",
       "      <td>32.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>0.655007</td>\n",
       "      <td>-0.014985</td>\n",
       "      <td>0.708063</td>\n",
       "      <td>1.406479e-12</td>\n",
       "      <td>3.600000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-5.740128e-16</td>\n",
       "      <td>166.0</td>\n",
       "      <td>11413.875436</td>\n",
       "      <td>-1.120847e-05</td>\n",
       "      <td>-1.514981e-17</td>\n",
       "      <td>4.764423e-19</td>\n",
       "      <td>22.945438</td>\n",
       "      <td>22.945438</td>\n",
       "      <td>22.945438</td>\n",
       "      <td>-7.113419e-16</td>\n",
       "      <td>1.328580e-16</td>\n",
       "      <td>3.994594e-18</td>\n",
       "      <td>35.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.707585</td>\n",
       "      <td>-0.504395</td>\n",
       "      <td>0.402317</td>\n",
       "      <td>1.327369e-12</td>\n",
       "      <td>4.000000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>-6.161923e-16</td>\n",
       "      <td>179.0</td>\n",
       "      <td>10319.761978</td>\n",
       "      <td>-9.834164e-06</td>\n",
       "      <td>-1.251996e-17</td>\n",
       "      <td>6.096416e-19</td>\n",
       "      <td>27.072972</td>\n",
       "      <td>27.072972</td>\n",
       "      <td>27.072972</td>\n",
       "      <td>-7.529104e-16</td>\n",
       "      <td>1.315536e-16</td>\n",
       "      <td>4.554895e-18</td>\n",
       "      <td>38.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>0.748934</td>\n",
       "      <td>-0.567526</td>\n",
       "      <td>-0.122591</td>\n",
       "      <td>1.243758e-12</td>\n",
       "      <td>4.400000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-6.525646e-16</td>\n",
       "      <td>192.0</td>\n",
       "      <td>10307.094038</td>\n",
       "      <td>-8.402248e-06</td>\n",
       "      <td>-1.173239e-17</td>\n",
       "      <td>7.223619e-19</td>\n",
       "      <td>31.073289</td>\n",
       "      <td>31.073289</td>\n",
       "      <td>31.073289</td>\n",
       "      <td>-7.843329e-16</td>\n",
       "      <td>1.273924e-16</td>\n",
       "      <td>3.653562e-18</td>\n",
       "      <td>41.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>0.780190</td>\n",
       "      <td>-0.234568</td>\n",
       "      <td>-0.465986</td>\n",
       "      <td>1.360582e-12</td>\n",
       "      <td>4.800000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-6.839960e-16</td>\n",
       "      <td>205.0</td>\n",
       "      <td>10436.849208</td>\n",
       "      <td>-7.383938e-06</td>\n",
       "      <td>-7.971672e-18</td>\n",
       "      <td>7.773075e-19</td>\n",
       "      <td>32.477348</td>\n",
       "      <td>32.477348</td>\n",
       "      <td>32.477348</td>\n",
       "      <td>-8.170502e-16</td>\n",
       "      <td>1.283356e-16</td>\n",
       "      <td>3.941302e-18</td>\n",
       "      <td>44.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.812735</td>\n",
       "      <td>0.189069</td>\n",
       "      <td>-0.423927</td>\n",
       "      <td>1.062801e-12</td>\n",
       "      <td>5.200000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-7.117576e-16</td>\n",
       "      <td>218.0</td>\n",
       "      <td>10411.837764</td>\n",
       "      <td>-6.472468e-06</td>\n",
       "      <td>-7.425230e-18</td>\n",
       "      <td>8.613818e-19</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-8.447933e-16</td>\n",
       "      <td>1.275172e-16</td>\n",
       "      <td>4.657098e-18</td>\n",
       "      <td>47.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.840331</td>\n",
       "      <td>0.390629</td>\n",
       "      <td>-0.100327</td>\n",
       "      <td>1.123011e-12</td>\n",
       "      <td>5.600000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>-7.355681e-16</td>\n",
       "      <td>231.0</td>\n",
       "      <td>10378.972811</td>\n",
       "      <td>-5.450044e-06</td>\n",
       "      <td>-6.452968e-18</td>\n",
       "      <td>9.392293e-19</td>\n",
       "      <td>32.494396</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-8.643217e-16</td>\n",
       "      <td>1.234721e-16</td>\n",
       "      <td>4.342216e-18</td>\n",
       "      <td>50.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>0.859757</td>\n",
       "      <td>0.272955</td>\n",
       "      <td>0.217848</td>\n",
       "      <td>1.154540e-12</td>\n",
       "      <td>6.000000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>-7.557243e-16</td>\n",
       "      <td>244.0</td>\n",
       "      <td>10389.104057</td>\n",
       "      <td>-4.686027e-06</td>\n",
       "      <td>-4.794578e-18</td>\n",
       "      <td>9.452782e-19</td>\n",
       "      <td>32.558602</td>\n",
       "      <td>32.627635</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-8.844399e-16</td>\n",
       "      <td>1.236079e-16</td>\n",
       "      <td>4.162454e-18</td>\n",
       "      <td>53.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>15.0</td>\n",
       "      <td>0.879769</td>\n",
       "      <td>-0.010657</td>\n",
       "      <td>0.304585</td>\n",
       "      <td>1.005863e-12</td>\n",
       "      <td>6.400000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-7.732456e-16</td>\n",
       "      <td>257.0</td>\n",
       "      <td>10309.645016</td>\n",
       "      <td>-4.071587e-06</td>\n",
       "      <td>-4.075358e-18</td>\n",
       "      <td>9.300978e-19</td>\n",
       "      <td>32.131715</td>\n",
       "      <td>32.558602</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.033767e-16</td>\n",
       "      <td>1.245514e-16</td>\n",
       "      <td>4.649548e-18</td>\n",
       "      <td>56.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>16.0</td>\n",
       "      <td>0.898605</td>\n",
       "      <td>-0.219343</td>\n",
       "      <td>0.147987</td>\n",
       "      <td>9.818199e-13</td>\n",
       "      <td>6.800000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>-7.881627e-16</td>\n",
       "      <td>270.0</td>\n",
       "      <td>10089.349536</td>\n",
       "      <td>-3.392140e-06</td>\n",
       "      <td>-3.140289e-18</td>\n",
       "      <td>9.076595e-19</td>\n",
       "      <td>30.814265</td>\n",
       "      <td>32.131715</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.165854e-16</td>\n",
       "      <td>1.227455e-16</td>\n",
       "      <td>4.769570e-18</td>\n",
       "      <td>59.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>17.0</td>\n",
       "      <td>0.911744</td>\n",
       "      <td>-0.217228</td>\n",
       "      <td>-0.084417</td>\n",
       "      <td>9.058716e-13</td>\n",
       "      <td>7.200000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>-8.005915e-16</td>\n",
       "      <td>283.0</td>\n",
       "      <td>10012.518686</td>\n",
       "      <td>-2.865011e-06</td>\n",
       "      <td>-2.721054e-18</td>\n",
       "      <td>8.467606e-19</td>\n",
       "      <td>29.434109</td>\n",
       "      <td>30.814265</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.287913e-16</td>\n",
       "      <td>1.228290e-16</td>\n",
       "      <td>4.524113e-18</td>\n",
       "      <td>62.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>18.0</td>\n",
       "      <td>0.923886</td>\n",
       "      <td>-0.050351</td>\n",
       "      <td>-0.205048</td>\n",
       "      <td>9.333923e-13</td>\n",
       "      <td>7.600000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-8.112797e-16</td>\n",
       "      <td>296.0</td>\n",
       "      <td>9982.572772</td>\n",
       "      <td>-2.488292e-06</td>\n",
       "      <td>-2.256585e-18</td>\n",
       "      <td>7.750924e-19</td>\n",
       "      <td>27.877201</td>\n",
       "      <td>29.434109</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.408146e-16</td>\n",
       "      <td>1.241316e-16</td>\n",
       "      <td>4.628085e-18</td>\n",
       "      <td>65.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>0.935846</td>\n",
       "      <td>0.124247</td>\n",
       "      <td>-0.146310</td>\n",
       "      <td>8.920453e-13</td>\n",
       "      <td>8.000000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>-8.204546e-16</td>\n",
       "      <td>309.0</td>\n",
       "      <td>9814.376291</td>\n",
       "      <td>-2.099438e-06</td>\n",
       "      <td>-1.743774e-18</td>\n",
       "      <td>7.153842e-19</td>\n",
       "      <td>28.758789</td>\n",
       "      <td>28.758789</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.495663e-16</td>\n",
       "      <td>1.235462e-16</td>\n",
       "      <td>4.850091e-18</td>\n",
       "      <td>68.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>0.944551</td>\n",
       "      <td>0.175076</td>\n",
       "      <td>0.014661</td>\n",
       "      <td>8.152323e-13</td>\n",
       "      <td>8.400000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>-8.281446e-16</td>\n",
       "      <td>322.0</td>\n",
       "      <td>9715.196313</td>\n",
       "      <td>-1.767623e-06</td>\n",
       "      <td>-1.446951e-18</td>\n",
       "      <td>6.522417e-19</td>\n",
       "      <td>29.772576</td>\n",
       "      <td>29.772576</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.568277e-16</td>\n",
       "      <td>1.232489e-16</td>\n",
       "      <td>4.781989e-18</td>\n",
       "      <td>71.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>0.951774</td>\n",
       "      <td>0.085608</td>\n",
       "      <td>0.140288</td>\n",
       "      <td>8.057527e-13</td>\n",
       "      <td>8.800000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>-8.347221e-16</td>\n",
       "      <td>335.0</td>\n",
       "      <td>9539.644900</td>\n",
       "      <td>-1.528949e-06</td>\n",
       "      <td>-2.182273e-18</td>\n",
       "      <td>5.888246e-19</td>\n",
       "      <td>30.388168</td>\n",
       "      <td>30.388168</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.640081e-16</td>\n",
       "      <td>1.239732e-16</td>\n",
       "      <td>4.723992e-18</td>\n",
       "      <td>74.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>0.958917</td>\n",
       "      <td>-0.055093</td>\n",
       "      <td>0.143455</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>9.200000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>-8.403664e-16</td>\n",
       "      <td>348.0</td>\n",
       "      <td>9259.550931</td>\n",
       "      <td>-1.290777e-06</td>\n",
       "      <td>-1.854833e-18</td>\n",
       "      <td>5.378160e-19</td>\n",
       "      <td>30.631597</td>\n",
       "      <td>30.631597</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.694246e-16</td>\n",
       "      <td>1.236619e-16</td>\n",
       "      <td>4.858575e-18</td>\n",
       "      <td>77.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>0.964304</td>\n",
       "      <td>-0.136295</td>\n",
       "      <td>0.041299</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>9.600000e-11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>-8.450729e-16</td>\n",
       "      <td>361.0</td>\n",
       "      <td>8840.087656</td>\n",
       "      <td>-1.073293e-06</td>\n",
       "      <td>-1.539683e-18</td>\n",
       "      <td>4.913504e-19</td>\n",
       "      <td>30.374484</td>\n",
       "      <td>30.631597</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.735402e-16</td>\n",
       "      <td>1.230710e-16</td>\n",
       "      <td>4.904977e-18</td>\n",
       "      <td>80.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>0.968398</td>\n",
       "      <td>-0.108966</td>\n",
       "      <td>-0.076131</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.000000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>-8.490451e-16</td>\n",
       "      <td>374.0</td>\n",
       "      <td>8568.953060</td>\n",
       "      <td>-9.213126e-07</td>\n",
       "      <td>-1.314805e-18</td>\n",
       "      <td>4.446071e-19</td>\n",
       "      <td>29.518044</td>\n",
       "      <td>30.374484</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.776918e-16</td>\n",
       "      <td>1.233727e-16</td>\n",
       "      <td>4.829423e-18</td>\n",
       "      <td>83.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>0.972528</td>\n",
       "      <td>-0.009550</td>\n",
       "      <td>-0.123405</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.040000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>-8.524603e-16</td>\n",
       "      <td>387.0</td>\n",
       "      <td>8254.767666</td>\n",
       "      <td>-7.853924e-07</td>\n",
       "      <td>-1.126364e-18</td>\n",
       "      <td>4.044652e-19</td>\n",
       "      <td>28.492653</td>\n",
       "      <td>29.518044</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.812035e-16</td>\n",
       "      <td>1.234881e-16</td>\n",
       "      <td>4.850697e-18</td>\n",
       "      <td>86.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>26.0</td>\n",
       "      <td>0.976021</td>\n",
       "      <td>0.081286</td>\n",
       "      <td>-0.078977</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.080000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>-8.553319e-16</td>\n",
       "      <td>400.0</td>\n",
       "      <td>7893.386926</td>\n",
       "      <td>-6.548864e-07</td>\n",
       "      <td>-9.400547e-19</td>\n",
       "      <td>3.694536e-19</td>\n",
       "      <td>28.386613</td>\n",
       "      <td>28.492653</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.838975e-16</td>\n",
       "      <td>1.232667e-16</td>\n",
       "      <td>4.929397e-18</td>\n",
       "      <td>89.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>27.0</td>\n",
       "      <td>0.978701</td>\n",
       "      <td>0.102731</td>\n",
       "      <td>0.011459</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.120000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>-8.577491e-16</td>\n",
       "      <td>413.0</td>\n",
       "      <td>7641.527813</td>\n",
       "      <td>-5.597029e-07</td>\n",
       "      <td>-7.988493e-19</td>\n",
       "      <td>3.344909e-19</td>\n",
       "      <td>28.283834</td>\n",
       "      <td>28.386613</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.865564e-16</td>\n",
       "      <td>1.235505e-16</td>\n",
       "      <td>4.922269e-18</td>\n",
       "      <td>92.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>28.0</td>\n",
       "      <td>0.981346</td>\n",
       "      <td>0.052051</td>\n",
       "      <td>0.078673</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.160000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>-8.598291e-16</td>\n",
       "      <td>426.0</td>\n",
       "      <td>7299.297534</td>\n",
       "      <td>-4.800766e-07</td>\n",
       "      <td>-6.876444e-19</td>\n",
       "      <td>3.029083e-19</td>\n",
       "      <td>27.989059</td>\n",
       "      <td>28.283834</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.889493e-16</td>\n",
       "      <td>1.239196e-16</td>\n",
       "      <td>4.897756e-18</td>\n",
       "      <td>95.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>29.0</td>\n",
       "      <td>0.983726</td>\n",
       "      <td>-0.023889</td>\n",
       "      <td>0.081475</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.200000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>-8.615842e-16</td>\n",
       "      <td>439.0</td>\n",
       "      <td>6858.827135</td>\n",
       "      <td>-3.986727e-07</td>\n",
       "      <td>-5.735580e-19</td>\n",
       "      <td>2.771558e-19</td>\n",
       "      <td>27.653586</td>\n",
       "      <td>27.989059</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.906946e-16</td>\n",
       "      <td>1.239020e-16</td>\n",
       "      <td>4.931174e-18</td>\n",
       "      <td>98.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>0.985462</td>\n",
       "      <td>-0.069466</td>\n",
       "      <td>0.029807</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.240000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>-8.630434e-16</td>\n",
       "      <td>452.0</td>\n",
       "      <td>6357.899312</td>\n",
       "      <td>-3.351931e-07</td>\n",
       "      <td>-4.794881e-19</td>\n",
       "      <td>2.532146e-19</td>\n",
       "      <td>27.757233</td>\n",
       "      <td>27.757233</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.922164e-16</td>\n",
       "      <td>1.239696e-16</td>\n",
       "      <td>4.950138e-18</td>\n",
       "      <td>101.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>31.0</td>\n",
       "      <td>0.986976</td>\n",
       "      <td>-0.059800</td>\n",
       "      <td>-0.031325</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.280000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>-8.642882e-16</td>\n",
       "      <td>465.0</td>\n",
       "      <td>5957.159541</td>\n",
       "      <td>-2.882611e-07</td>\n",
       "      <td>-4.120965e-19</td>\n",
       "      <td>2.299595e-19</td>\n",
       "      <td>27.537059</td>\n",
       "      <td>27.757233</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.936225e-16</td>\n",
       "      <td>1.241716e-16</td>\n",
       "      <td>4.932658e-18</td>\n",
       "      <td>104.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>32.0</td>\n",
       "      <td>0.988375</td>\n",
       "      <td>-0.012035</td>\n",
       "      <td>-0.058992</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.320000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>-8.653482e-16</td>\n",
       "      <td>478.0</td>\n",
       "      <td>5515.839101</td>\n",
       "      <td>-2.417749e-07</td>\n",
       "      <td>-3.475561e-19</td>\n",
       "      <td>2.096359e-19</td>\n",
       "      <td>27.053136</td>\n",
       "      <td>27.537059</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.946396e-16</td>\n",
       "      <td>1.241418e-16</td>\n",
       "      <td>4.940050e-18</td>\n",
       "      <td>107.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>33.0</td>\n",
       "      <td>0.989386</td>\n",
       "      <td>0.034209</td>\n",
       "      <td>-0.041045</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.360000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>-8.662315e-16</td>\n",
       "      <td>491.0</td>\n",
       "      <td>5110.000900</td>\n",
       "      <td>-2.021031e-07</td>\n",
       "      <td>-2.895495e-19</td>\n",
       "      <td>1.912774e-19</td>\n",
       "      <td>26.471374</td>\n",
       "      <td>27.053136</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.954299e-16</td>\n",
       "      <td>1.240440e-16</td>\n",
       "      <td>4.963136e-18</td>\n",
       "      <td>110.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.990172</td>\n",
       "      <td>0.047827</td>\n",
       "      <td>0.001563</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.400000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>-8.669810e-16</td>\n",
       "      <td>504.0</td>\n",
       "      <td>4793.875448</td>\n",
       "      <td>-1.738855e-07</td>\n",
       "      <td>-2.482340e-19</td>\n",
       "      <td>1.733167e-19</td>\n",
       "      <td>25.929862</td>\n",
       "      <td>26.471374</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.961989e-16</td>\n",
       "      <td>1.240864e-16</td>\n",
       "      <td>4.958208e-18</td>\n",
       "      <td>113.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>35.0</td>\n",
       "      <td>0.990937</td>\n",
       "      <td>0.025555</td>\n",
       "      <td>0.035111</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.440000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>-8.676240e-16</td>\n",
       "      <td>517.0</td>\n",
       "      <td>4438.043319</td>\n",
       "      <td>-1.474178e-07</td>\n",
       "      <td>-2.116492e-19</td>\n",
       "      <td>1.568721e-19</td>\n",
       "      <td>25.392072</td>\n",
       "      <td>25.929862</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.968302e-16</td>\n",
       "      <td>1.241018e-16</td>\n",
       "      <td>4.947592e-18</td>\n",
       "      <td>116.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>0.991565</td>\n",
       "      <td>-0.010894</td>\n",
       "      <td>0.038107</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.480000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>-8.681617e-16</td>\n",
       "      <td>530.0</td>\n",
       "      <td>4017.941395</td>\n",
       "      <td>-1.224026e-07</td>\n",
       "      <td>-1.757864e-19</td>\n",
       "      <td>1.420930e-19</td>\n",
       "      <td>24.646364</td>\n",
       "      <td>25.392072</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.973365e-16</td>\n",
       "      <td>1.240743e-16</td>\n",
       "      <td>4.958437e-18</td>\n",
       "      <td>119.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>37.0</td>\n",
       "      <td>0.992069</td>\n",
       "      <td>-0.033884</td>\n",
       "      <td>0.013635</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.520000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>-8.686131e-16</td>\n",
       "      <td>543.0</td>\n",
       "      <td>3604.464977</td>\n",
       "      <td>-1.044552e-07</td>\n",
       "      <td>-1.491170e-19</td>\n",
       "      <td>1.275270e-19</td>\n",
       "      <td>23.556188</td>\n",
       "      <td>24.646364</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.978622e-16</td>\n",
       "      <td>1.241533e-16</td>\n",
       "      <td>4.968274e-18</td>\n",
       "      <td>122.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>38.0</td>\n",
       "      <td>0.992592</td>\n",
       "      <td>-0.029612</td>\n",
       "      <td>-0.016956</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.560000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>-8.690012e-16</td>\n",
       "      <td>556.0</td>\n",
       "      <td>3283.971275</td>\n",
       "      <td>-8.957307e-08</td>\n",
       "      <td>-1.282845e-19</td>\n",
       "      <td>1.138295e-19</td>\n",
       "      <td>22.206891</td>\n",
       "      <td>23.556188</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.983501e-16</td>\n",
       "      <td>1.242696e-16</td>\n",
       "      <td>4.965525e-18</td>\n",
       "      <td>125.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>39.0</td>\n",
       "      <td>0.993077</td>\n",
       "      <td>-0.005164</td>\n",
       "      <td>-0.031620</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.600000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>-8.693290e-16</td>\n",
       "      <td>569.0</td>\n",
       "      <td>2929.153015</td>\n",
       "      <td>-7.457094e-08</td>\n",
       "      <td>-1.072227e-19</td>\n",
       "      <td>1.025598e-19</td>\n",
       "      <td>20.765046</td>\n",
       "      <td>22.206891</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.987202e-16</td>\n",
       "      <td>1.243221e-16</td>\n",
       "      <td>4.966526e-18</td>\n",
       "      <td>128.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>0.993445</td>\n",
       "      <td>0.019773</td>\n",
       "      <td>-0.022659</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.640000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>-8.696023e-16</td>\n",
       "      <td>582.0</td>\n",
       "      <td>2585.758042</td>\n",
       "      <td>-6.286259e-08</td>\n",
       "      <td>-8.989113e-20</td>\n",
       "      <td>9.319034e-20</td>\n",
       "      <td>19.317768</td>\n",
       "      <td>20.765046</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.990365e-16</td>\n",
       "      <td>1.243702e-16</td>\n",
       "      <td>4.970742e-18</td>\n",
       "      <td>131.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>41.0</td>\n",
       "      <td>0.993760</td>\n",
       "      <td>0.028262</td>\n",
       "      <td>0.000489</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.680000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>-8.698360e-16</td>\n",
       "      <td>595.0</td>\n",
       "      <td>2335.833086</td>\n",
       "      <td>-5.419482e-08</td>\n",
       "      <td>-7.743272e-20</td>\n",
       "      <td>8.474922e-20</td>\n",
       "      <td>17.908897</td>\n",
       "      <td>19.317768</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.993158e-16</td>\n",
       "      <td>1.244262e-16</td>\n",
       "      <td>4.968821e-18</td>\n",
       "      <td>134.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>42.0</td>\n",
       "      <td>0.994038</td>\n",
       "      <td>0.016988</td>\n",
       "      <td>0.020381</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.720000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>-8.700357e-16</td>\n",
       "      <td>608.0</td>\n",
       "      <td>2105.432342</td>\n",
       "      <td>-4.563412e-08</td>\n",
       "      <td>-6.555795e-20</td>\n",
       "      <td>7.756506e-20</td>\n",
       "      <td>16.659730</td>\n",
       "      <td>17.908897</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.995127e-16</td>\n",
       "      <td>1.244311e-16</td>\n",
       "      <td>4.968356e-18</td>\n",
       "      <td>137.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>43.0</td>\n",
       "      <td>0.994234</td>\n",
       "      <td>-0.003768</td>\n",
       "      <td>0.024429</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.760000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>-8.702026e-16</td>\n",
       "      <td>621.0</td>\n",
       "      <td>1872.125750</td>\n",
       "      <td>-3.820759e-08</td>\n",
       "      <td>-5.473418e-20</td>\n",
       "      <td>7.184208e-20</td>\n",
       "      <td>15.720604</td>\n",
       "      <td>16.659730</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.996583e-16</td>\n",
       "      <td>1.244101e-16</td>\n",
       "      <td>4.973732e-18</td>\n",
       "      <td>140.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>44.0</td>\n",
       "      <td>0.994378</td>\n",
       "      <td>-0.019112</td>\n",
       "      <td>0.012407</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.800000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>-8.703444e-16</td>\n",
       "      <td>634.0</td>\n",
       "      <td>1747.801586</td>\n",
       "      <td>-3.292523e-08</td>\n",
       "      <td>-4.697804e-20</td>\n",
       "      <td>6.704845e-20</td>\n",
       "      <td>15.113554</td>\n",
       "      <td>15.720604</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.997952e-16</td>\n",
       "      <td>1.244085e-16</td>\n",
       "      <td>4.975246e-18</td>\n",
       "      <td>143.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>45.0</td>\n",
       "      <td>0.994515</td>\n",
       "      <td>-0.020080</td>\n",
       "      <td>-0.005425</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.840000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>-8.704664e-16</td>\n",
       "      <td>647.0</td>\n",
       "      <td>1603.040334</td>\n",
       "      <td>-2.805404e-08</td>\n",
       "      <td>-4.023923e-20</td>\n",
       "      <td>6.292452e-20</td>\n",
       "      <td>14.598386</td>\n",
       "      <td>15.113554</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.999070e-16</td>\n",
       "      <td>1.244061e-16</td>\n",
       "      <td>4.971621e-18</td>\n",
       "      <td>146.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>46.0</td>\n",
       "      <td>0.994626</td>\n",
       "      <td>-0.008509</td>\n",
       "      <td>-0.016779</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.880000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>-8.705689e-16</td>\n",
       "      <td>660.0</td>\n",
       "      <td>1495.703441</td>\n",
       "      <td>-2.336692e-08</td>\n",
       "      <td>-3.354981e-20</td>\n",
       "      <td>5.935322e-20</td>\n",
       "      <td>14.077561</td>\n",
       "      <td>14.598386</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-9.999972e-16</td>\n",
       "      <td>1.243975e-16</td>\n",
       "      <td>4.971402e-18</td>\n",
       "      <td>149.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>47.0</td>\n",
       "      <td>0.994716</td>\n",
       "      <td>0.006024</td>\n",
       "      <td>-0.015691</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.920000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>-8.706551e-16</td>\n",
       "      <td>673.0</td>\n",
       "      <td>1395.612877</td>\n",
       "      <td>-1.997396e-08</td>\n",
       "      <td>-2.849706e-20</td>\n",
       "      <td>5.595985e-20</td>\n",
       "      <td>13.437051</td>\n",
       "      <td>14.077561</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-1.000096e-15</td>\n",
       "      <td>1.244107e-16</td>\n",
       "      <td>4.974494e-18</td>\n",
       "      <td>152.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>48.0</td>\n",
       "      <td>0.994814</td>\n",
       "      <td>0.013808</td>\n",
       "      <td>-0.005268</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>1.960000e-10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>-8.707296e-16</td>\n",
       "      <td>686.0</td>\n",
       "      <td>1297.883121</td>\n",
       "      <td>-1.726838e-08</td>\n",
       "      <td>-2.468675e-20</td>\n",
       "      <td>5.269779e-20</td>\n",
       "      <td>12.630283</td>\n",
       "      <td>13.437051</td>\n",
       "      <td>32.949572</td>\n",
       "      <td>-1.000198e-15</td>\n",
       "      <td>1.244402e-16</td>\n",
       "      <td>4.975412e-18</td>\n",
       "      <td>155.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>49.0</td>\n",
       "      <td>0.994915</td>\n",
       "      <td>0.011336</td>\n",
       "      <td>0.005991</td>\n",
       "      <td>1.391394e-12</td>\n",
       "      <td>2.000000e-10</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               E  Ecount     max_dm/dt         dE/dt        deltaE  \\\n",
       "0   4.937978e-17    49.0  15504.169456 -2.199822e-05 -3.014085e-17   \n",
       "1  -3.745400e-17    62.0  15355.073463 -2.135642e-05 -4.007768e-17   \n",
       "2  -1.210936e-16    75.0  15475.885770 -2.045376e-05 -3.639889e-17   \n",
       "3  -2.011240e-16    88.0  15054.641932 -1.954275e-05 -3.291024e-17   \n",
       "4  -2.770202e-16   101.0  14069.762967 -1.835674e-05 -3.243005e-17   \n",
       "5  -3.478000e-16   114.0  13129.912239 -1.703618e-05 -2.758906e-17   \n",
       "6  -4.133816e-16   127.0  12642.331456 -1.574731e-05 -2.518676e-17   \n",
       "7  -4.733437e-16   140.0  11522.221837 -1.417117e-05 -2.140401e-17   \n",
       "8  -5.266426e-16   153.0  11135.846711 -1.252402e-05 -1.799357e-17   \n",
       "9  -5.740128e-16   166.0  11413.875436 -1.120847e-05 -1.514981e-17   \n",
       "10 -6.161923e-16   179.0  10319.761978 -9.834164e-06 -1.251996e-17   \n",
       "11 -6.525646e-16   192.0  10307.094038 -8.402248e-06 -1.173239e-17   \n",
       "12 -6.839960e-16   205.0  10436.849208 -7.383938e-06 -7.971672e-18   \n",
       "13 -7.117576e-16   218.0  10411.837764 -6.472468e-06 -7.425230e-18   \n",
       "14 -7.355681e-16   231.0  10378.972811 -5.450044e-06 -6.452968e-18   \n",
       "15 -7.557243e-16   244.0  10389.104057 -4.686027e-06 -4.794578e-18   \n",
       "16 -7.732456e-16   257.0  10309.645016 -4.071587e-06 -4.075358e-18   \n",
       "17 -7.881627e-16   270.0  10089.349536 -3.392140e-06 -3.140289e-18   \n",
       "18 -8.005915e-16   283.0  10012.518686 -2.865011e-06 -2.721054e-18   \n",
       "19 -8.112797e-16   296.0   9982.572772 -2.488292e-06 -2.256585e-18   \n",
       "20 -8.204546e-16   309.0   9814.376291 -2.099438e-06 -1.743774e-18   \n",
       "21 -8.281446e-16   322.0   9715.196313 -1.767623e-06 -1.446951e-18   \n",
       "22 -8.347221e-16   335.0   9539.644900 -1.528949e-06 -2.182273e-18   \n",
       "23 -8.403664e-16   348.0   9259.550931 -1.290777e-06 -1.854833e-18   \n",
       "24 -8.450729e-16   361.0   8840.087656 -1.073293e-06 -1.539683e-18   \n",
       "25 -8.490451e-16   374.0   8568.953060 -9.213126e-07 -1.314805e-18   \n",
       "26 -8.524603e-16   387.0   8254.767666 -7.853924e-07 -1.126364e-18   \n",
       "27 -8.553319e-16   400.0   7893.386926 -6.548864e-07 -9.400547e-19   \n",
       "28 -8.577491e-16   413.0   7641.527813 -5.597029e-07 -7.988493e-19   \n",
       "29 -8.598291e-16   426.0   7299.297534 -4.800766e-07 -6.876444e-19   \n",
       "30 -8.615842e-16   439.0   6858.827135 -3.986727e-07 -5.735580e-19   \n",
       "31 -8.630434e-16   452.0   6357.899312 -3.351931e-07 -4.794881e-19   \n",
       "32 -8.642882e-16   465.0   5957.159541 -2.882611e-07 -4.120965e-19   \n",
       "33 -8.653482e-16   478.0   5515.839101 -2.417749e-07 -3.475561e-19   \n",
       "34 -8.662315e-16   491.0   5110.000900 -2.021031e-07 -2.895495e-19   \n",
       "35 -8.669810e-16   504.0   4793.875448 -1.738855e-07 -2.482340e-19   \n",
       "36 -8.676240e-16   517.0   4438.043319 -1.474178e-07 -2.116492e-19   \n",
       "37 -8.681617e-16   530.0   4017.941395 -1.224026e-07 -1.757864e-19   \n",
       "38 -8.686131e-16   543.0   3604.464977 -1.044552e-07 -1.491170e-19   \n",
       "39 -8.690012e-16   556.0   3283.971275 -8.957307e-08 -1.282845e-19   \n",
       "40 -8.693290e-16   569.0   2929.153015 -7.457094e-08 -1.072227e-19   \n",
       "41 -8.696023e-16   582.0   2585.758042 -6.286259e-08 -8.989113e-20   \n",
       "42 -8.698360e-16   595.0   2335.833086 -5.419482e-08 -7.743272e-20   \n",
       "43 -8.700357e-16   608.0   2105.432342 -4.563412e-08 -6.555795e-20   \n",
       "44 -8.702026e-16   621.0   1872.125750 -3.820759e-08 -5.473418e-20   \n",
       "45 -8.703444e-16   634.0   1747.801586 -3.292523e-08 -4.697804e-20   \n",
       "46 -8.704664e-16   647.0   1603.040334 -2.805404e-08 -4.023923e-20   \n",
       "47 -8.705689e-16   660.0   1495.703441 -2.336692e-08 -3.354981e-20   \n",
       "48 -8.706551e-16   673.0   1395.612877 -1.997396e-08 -2.849706e-20   \n",
       "49 -8.707296e-16   686.0   1297.883121 -1.726838e-08 -2.468675e-20   \n",
       "\n",
       "      E_Exchange  max_spin_angle  stage_max_spin_angle  run_max_spin_angle  \\\n",
       "0   2.434921e-20        5.843010              5.843010            5.843010   \n",
       "1   6.193981e-20       10.194041             10.194041           10.194041   \n",
       "2   7.732737e-20       15.015990             15.015990           15.015990   \n",
       "3   1.013508e-19       16.748167             16.748167           16.748167   \n",
       "4   1.405714e-19       19.713938             19.713938           19.713938   \n",
       "5   1.513495e-19       20.389262             20.897681           20.897681   \n",
       "6   1.894826e-19       17.674614             20.389262           20.897681   \n",
       "7   2.957435e-19       18.096429             18.096429           20.897681   \n",
       "8   3.928615e-19       20.508025             20.508025           20.897681   \n",
       "9   4.764423e-19       22.945438             22.945438           22.945438   \n",
       "10  6.096416e-19       27.072972             27.072972           27.072972   \n",
       "11  7.223619e-19       31.073289             31.073289           31.073289   \n",
       "12  7.773075e-19       32.477348             32.477348           32.477348   \n",
       "13  8.613818e-19       32.949572             32.949572           32.949572   \n",
       "14  9.392293e-19       32.494396             32.949572           32.949572   \n",
       "15  9.452782e-19       32.558602             32.627635           32.949572   \n",
       "16  9.300978e-19       32.131715             32.558602           32.949572   \n",
       "17  9.076595e-19       30.814265             32.131715           32.949572   \n",
       "18  8.467606e-19       29.434109             30.814265           32.949572   \n",
       "19  7.750924e-19       27.877201             29.434109           32.949572   \n",
       "20  7.153842e-19       28.758789             28.758789           32.949572   \n",
       "21  6.522417e-19       29.772576             29.772576           32.949572   \n",
       "22  5.888246e-19       30.388168             30.388168           32.949572   \n",
       "23  5.378160e-19       30.631597             30.631597           32.949572   \n",
       "24  4.913504e-19       30.374484             30.631597           32.949572   \n",
       "25  4.446071e-19       29.518044             30.374484           32.949572   \n",
       "26  4.044652e-19       28.492653             29.518044           32.949572   \n",
       "27  3.694536e-19       28.386613             28.492653           32.949572   \n",
       "28  3.344909e-19       28.283834             28.386613           32.949572   \n",
       "29  3.029083e-19       27.989059             28.283834           32.949572   \n",
       "30  2.771558e-19       27.653586             27.989059           32.949572   \n",
       "31  2.532146e-19       27.757233             27.757233           32.949572   \n",
       "32  2.299595e-19       27.537059             27.757233           32.949572   \n",
       "33  2.096359e-19       27.053136             27.537059           32.949572   \n",
       "34  1.912774e-19       26.471374             27.053136           32.949572   \n",
       "35  1.733167e-19       25.929862             26.471374           32.949572   \n",
       "36  1.568721e-19       25.392072             25.929862           32.949572   \n",
       "37  1.420930e-19       24.646364             25.392072           32.949572   \n",
       "38  1.275270e-19       23.556188             24.646364           32.949572   \n",
       "39  1.138295e-19       22.206891             23.556188           32.949572   \n",
       "40  1.025598e-19       20.765046             22.206891           32.949572   \n",
       "41  9.319034e-20       19.317768             20.765046           32.949572   \n",
       "42  8.474922e-20       17.908897             19.317768           32.949572   \n",
       "43  7.756506e-20       16.659730             17.908897           32.949572   \n",
       "44  7.184208e-20       15.720604             16.659730           32.949572   \n",
       "45  6.704845e-20       15.113554             15.720604           32.949572   \n",
       "46  6.292452e-20       14.598386             15.113554           32.949572   \n",
       "47  5.935322e-20       14.077561             14.598386           32.949572   \n",
       "48  5.595985e-20       13.437051             14.077561           32.949572   \n",
       "49  5.269779e-20       12.630283             13.437051           32.949572   \n",
       "\n",
       "        E_Zeeman       E_Demag  E_UniaxialAnisotropy  iteration  \\\n",
       "0  -8.571958e-17  1.329931e-16          2.081906e-18        8.0   \n",
       "1  -1.715614e-16  1.336715e-16          3.739732e-19       11.0   \n",
       "2  -2.616382e-16  1.366673e-16          3.800002e-18       14.0   \n",
       "3  -3.440782e-16  1.384426e-16          4.410329e-18       17.0   \n",
       "4  -4.130360e-16  1.344386e-16          1.436607e-18       20.0   \n",
       "5  -4.818787e-16  1.317493e-16          2.178021e-18       23.0   \n",
       "6  -5.510081e-16  1.326767e-16          4.760248e-18       26.0   \n",
       "7  -6.074985e-16  1.302324e-16          3.626618e-18       29.0   \n",
       "8  -6.584845e-16  1.289977e-16          2.451356e-18       32.0   \n",
       "9  -7.113419e-16  1.328580e-16          3.994594e-18       35.0   \n",
       "10 -7.529104e-16  1.315536e-16          4.554895e-18       38.0   \n",
       "11 -7.843329e-16  1.273924e-16          3.653562e-18       41.0   \n",
       "12 -8.170502e-16  1.283356e-16          3.941302e-18       44.0   \n",
       "13 -8.447933e-16  1.275172e-16          4.657098e-18       47.0   \n",
       "14 -8.643217e-16  1.234721e-16          4.342216e-18       50.0   \n",
       "15 -8.844399e-16  1.236079e-16          4.162454e-18       53.0   \n",
       "16 -9.033767e-16  1.245514e-16          4.649548e-18       56.0   \n",
       "17 -9.165854e-16  1.227455e-16          4.769570e-18       59.0   \n",
       "18 -9.287913e-16  1.228290e-16          4.524113e-18       62.0   \n",
       "19 -9.408146e-16  1.241316e-16          4.628085e-18       65.0   \n",
       "20 -9.495663e-16  1.235462e-16          4.850091e-18       68.0   \n",
       "21 -9.568277e-16  1.232489e-16          4.781989e-18       71.0   \n",
       "22 -9.640081e-16  1.239732e-16          4.723992e-18       74.0   \n",
       "23 -9.694246e-16  1.236619e-16          4.858575e-18       77.0   \n",
       "24 -9.735402e-16  1.230710e-16          4.904977e-18       80.0   \n",
       "25 -9.776918e-16  1.233727e-16          4.829423e-18       83.0   \n",
       "26 -9.812035e-16  1.234881e-16          4.850697e-18       86.0   \n",
       "27 -9.838975e-16  1.232667e-16          4.929397e-18       89.0   \n",
       "28 -9.865564e-16  1.235505e-16          4.922269e-18       92.0   \n",
       "29 -9.889493e-16  1.239196e-16          4.897756e-18       95.0   \n",
       "30 -9.906946e-16  1.239020e-16          4.931174e-18       98.0   \n",
       "31 -9.922164e-16  1.239696e-16          4.950138e-18      101.0   \n",
       "32 -9.936225e-16  1.241716e-16          4.932658e-18      104.0   \n",
       "33 -9.946396e-16  1.241418e-16          4.940050e-18      107.0   \n",
       "34 -9.954299e-16  1.240440e-16          4.963136e-18      110.0   \n",
       "35 -9.961989e-16  1.240864e-16          4.958208e-18      113.0   \n",
       "36 -9.968302e-16  1.241018e-16          4.947592e-18      116.0   \n",
       "37 -9.973365e-16  1.240743e-16          4.958437e-18      119.0   \n",
       "38 -9.978622e-16  1.241533e-16          4.968274e-18      122.0   \n",
       "39 -9.983501e-16  1.242696e-16          4.965525e-18      125.0   \n",
       "40 -9.987202e-16  1.243221e-16          4.966526e-18      128.0   \n",
       "41 -9.990365e-16  1.243702e-16          4.970742e-18      131.0   \n",
       "42 -9.993158e-16  1.244262e-16          4.968821e-18      134.0   \n",
       "43 -9.995127e-16  1.244311e-16          4.968356e-18      137.0   \n",
       "44 -9.996583e-16  1.244101e-16          4.973732e-18      140.0   \n",
       "45 -9.997952e-16  1.244085e-16          4.975246e-18      143.0   \n",
       "46 -9.999070e-16  1.244061e-16          4.971621e-18      146.0   \n",
       "47 -9.999972e-16  1.243975e-16          4.971402e-18      149.0   \n",
       "48 -1.000096e-15  1.244107e-16          4.974494e-18      152.0   \n",
       "49 -1.000198e-15  1.244402e-16          4.975412e-18      155.0   \n",
       "\n",
       "    stage_iteration  stage        mx        my        mz  last_time_step  \\\n",
       "0               8.0    0.0  0.085267  0.635764  0.762966    1.365857e-12   \n",
       "1               2.0    1.0  0.170655 -0.174363  0.961511    1.860994e-12   \n",
       "2               2.0    2.0  0.260256 -0.827733  0.475004    1.762302e-12   \n",
       "3               2.0    3.0  0.342261 -0.870443 -0.316834    1.666791e-12   \n",
       "4               2.0    4.0  0.410854 -0.304328 -0.842589    1.740225e-12   \n",
       "5               2.0    5.0  0.479334  0.433170 -0.745181    1.594995e-12   \n",
       "6               2.0    6.0  0.548098  0.805275 -0.136522    1.573383e-12   \n",
       "7               2.0    7.0  0.604290  0.577910  0.499801    1.477491e-12   \n",
       "8               2.0    8.0  0.655007 -0.014985  0.708063    1.406479e-12   \n",
       "9               2.0    9.0  0.707585 -0.504395  0.402317    1.327369e-12   \n",
       "10              2.0   10.0  0.748934 -0.567526 -0.122591    1.243758e-12   \n",
       "11              2.0   11.0  0.780190 -0.234568 -0.465986    1.360582e-12   \n",
       "12              2.0   12.0  0.812735  0.189069 -0.423927    1.062801e-12   \n",
       "13              2.0   13.0  0.840331  0.390629 -0.100327    1.123011e-12   \n",
       "14              2.0   14.0  0.859757  0.272955  0.217848    1.154540e-12   \n",
       "15              2.0   15.0  0.879769 -0.010657  0.304585    1.005863e-12   \n",
       "16              2.0   16.0  0.898605 -0.219343  0.147987    9.818199e-13   \n",
       "17              2.0   17.0  0.911744 -0.217228 -0.084417    9.058716e-13   \n",
       "18              2.0   18.0  0.923886 -0.050351 -0.205048    9.333923e-13   \n",
       "19              2.0   19.0  0.935846  0.124247 -0.146310    8.920453e-13   \n",
       "20              2.0   20.0  0.944551  0.175076  0.014661    8.152323e-13   \n",
       "21              2.0   21.0  0.951774  0.085608  0.140288    8.057527e-13   \n",
       "22              2.0   22.0  0.958917 -0.055093  0.143455    1.391394e-12   \n",
       "23              2.0   23.0  0.964304 -0.136295  0.041299    1.391394e-12   \n",
       "24              2.0   24.0  0.968398 -0.108966 -0.076131    1.391394e-12   \n",
       "25              2.0   25.0  0.972528 -0.009550 -0.123405    1.391394e-12   \n",
       "26              2.0   26.0  0.976021  0.081286 -0.078977    1.391394e-12   \n",
       "27              2.0   27.0  0.978701  0.102731  0.011459    1.391394e-12   \n",
       "28              2.0   28.0  0.981346  0.052051  0.078673    1.391394e-12   \n",
       "29              2.0   29.0  0.983726 -0.023889  0.081475    1.391394e-12   \n",
       "30              2.0   30.0  0.985462 -0.069466  0.029807    1.391394e-12   \n",
       "31              2.0   31.0  0.986976 -0.059800 -0.031325    1.391394e-12   \n",
       "32              2.0   32.0  0.988375 -0.012035 -0.058992    1.391394e-12   \n",
       "33              2.0   33.0  0.989386  0.034209 -0.041045    1.391394e-12   \n",
       "34              2.0   34.0  0.990172  0.047827  0.001563    1.391394e-12   \n",
       "35              2.0   35.0  0.990937  0.025555  0.035111    1.391394e-12   \n",
       "36              2.0   36.0  0.991565 -0.010894  0.038107    1.391394e-12   \n",
       "37              2.0   37.0  0.992069 -0.033884  0.013635    1.391394e-12   \n",
       "38              2.0   38.0  0.992592 -0.029612 -0.016956    1.391394e-12   \n",
       "39              2.0   39.0  0.993077 -0.005164 -0.031620    1.391394e-12   \n",
       "40              2.0   40.0  0.993445  0.019773 -0.022659    1.391394e-12   \n",
       "41              2.0   41.0  0.993760  0.028262  0.000489    1.391394e-12   \n",
       "42              2.0   42.0  0.994038  0.016988  0.020381    1.391394e-12   \n",
       "43              2.0   43.0  0.994234 -0.003768  0.024429    1.391394e-12   \n",
       "44              2.0   44.0  0.994378 -0.019112  0.012407    1.391394e-12   \n",
       "45              2.0   45.0  0.994515 -0.020080 -0.005425    1.391394e-12   \n",
       "46              2.0   46.0  0.994626 -0.008509 -0.016779    1.391394e-12   \n",
       "47              2.0   47.0  0.994716  0.006024 -0.015691    1.391394e-12   \n",
       "48              2.0   48.0  0.994814  0.013808 -0.005268    1.391394e-12   \n",
       "49              2.0   49.0  0.994915  0.011336  0.005991    1.391394e-12   \n",
       "\n",
       "               t  \n",
       "0   4.000000e-12  \n",
       "1   8.000000e-12  \n",
       "2   1.200000e-11  \n",
       "3   1.600000e-11  \n",
       "4   2.000000e-11  \n",
       "5   2.400000e-11  \n",
       "6   2.800000e-11  \n",
       "7   3.200000e-11  \n",
       "8   3.600000e-11  \n",
       "9   4.000000e-11  \n",
       "10  4.400000e-11  \n",
       "11  4.800000e-11  \n",
       "12  5.200000e-11  \n",
       "13  5.600000e-11  \n",
       "14  6.000000e-11  \n",
       "15  6.400000e-11  \n",
       "16  6.800000e-11  \n",
       "17  7.200000e-11  \n",
       "18  7.600000e-11  \n",
       "19  8.000000e-11  \n",
       "20  8.400000e-11  \n",
       "21  8.800000e-11  \n",
       "22  9.200000e-11  \n",
       "23  9.600000e-11  \n",
       "24  1.000000e-10  \n",
       "25  1.040000e-10  \n",
       "26  1.080000e-10  \n",
       "27  1.120000e-10  \n",
       "28  1.160000e-10  \n",
       "29  1.200000e-10  \n",
       "30  1.240000e-10  \n",
       "31  1.280000e-10  \n",
       "32  1.320000e-10  \n",
       "33  1.360000e-10  \n",
       "34  1.400000e-10  \n",
       "35  1.440000e-10  \n",
       "36  1.480000e-10  \n",
       "37  1.520000e-10  \n",
       "38  1.560000e-10  \n",
       "39  1.600000e-10  \n",
       "40  1.640000e-10  \n",
       "41  1.680000e-10  \n",
       "42  1.720000e-10  \n",
       "43  1.760000e-10  \n",
       "44  1.800000e-10  \n",
       "45  1.840000e-10  \n",
       "46  1.880000e-10  \n",
       "47  1.920000e-10  \n",
       "48  1.960000e-10  \n",
       "49  2.000000e-10  "
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "system.dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f5b612a3240>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.dt.plot(\"t\", \"E\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}