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diff --git a/figures/v_infty/v_infty.png b/figures/v_infty/v_infty.png
index 661884c..9ec2224 100644
Binary files a/figures/v_infty/v_infty.png and b/figures/v_infty/v_infty.png differ
diff --git a/scripts/jet_recol_shocks.ipynb b/scripts/jet_recol_shocks.ipynb
index 10c49ba..7388a8b 100644
--- a/scripts/jet_recol_shocks.ipynb
+++ b/scripts/jet_recol_shocks.ipynb
...
{
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"source": [
"Setup, load modules, etc."
...
"import numpy as np\n",
"from scipy.integrate import odeint\n",
"from scipy.interpolate import interp1d\n",
"from matplotlib import pyplot as
plt" plt\n",
"\n",
"from stellarwindshock import StellarWindShock, HotStellarWindShock, ConstantPres, PowerPres, ExpPres"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number":
110 1
},
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"'''x is pre-shock velocity in km/s, result is fraction of kinetic energy radiated in X-rays\n",
"The values for the y-axis (the fraction of the total luminosity emitted in X-rays)\n",
"are justified in the appendix. Here they are just copied verbatim,\n",
"to ensure that this code runs without any additional dependencies (i.e. it runs without\n",
"the file that contains the shock models of Guenther et al., 2007).\n",
"'''\n",
"xrayfrac = interp1d(np.arange(0.,1001.,100.), \n",
" np.array([0, 0, 0, 0.02, 0.10, 0.24, 0.40, 0.51, 0.57, 0.61, 0.65]))\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"The model"
]
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"input": [
"class ODEnotsolvedException(Exception):\n",
" '''ODE needs to be solved before properties of the solution are available'''\n",
" pass\n",
"\n",
"\n",
"class StellarWindShock(object):\n",
" '''This class describes a shock front formed due to confinement by an external presure.\n",
"\n",
" An object of this class describes one specific combination of stellar wind parameters\n",
" and external presure profile. This class provides methods to solve the ordinary\n",
" differential equation that governs the shape of the shock front, which forms due to\n",
" the external presure from the expanding disk wind.\n",
"\n",
" ..note::\n",
" This class accepts all lengths scales input in units of AU and all other parameters\n",
" (velocity, mass flux, presure) in cgs units.\n",
" The possibility for user error would be greatly decreased by using a module that\n",
" tracks the units (e.g. ``astropy.units``) but the scipy ODE solver does not work well\n",
" with any such scheme. Thus, BEWARE of the UNITS!\n",
" '''\n",
" AU = 1.5e13\n",
" k_B = 1.38e-16 # Boltzman constant\n",
" m_H = 1.67e-24 # mass of hydrogen\n",
" mu = 0.7 # mean particle mass in highly ionized plamsa\n",
" def __init__(self, p_ext, v_inf, m_dot):\n",
" '''\n",
" Parameters\n",
" ----------\n",
" p_ext: function or callable object\n",
" ``p_ext`` must accept a height (in AU) and return a presure (in cgs units)\n",
" v_inf: float\n",
" wind speed (in cgs units)\n",
" It is assumed that the stellar wind reaches its final wind speed before any\n",
" interaction with the disk wind occurs.\n",
" m_dot: float\n",
" Spherically integrated stellar mass loss rate (in cgs units)\n",
" '''\n",
" self.p_ext = p_ext\n",
" self.v_inf = v_inf\n",
" self.m_dot = m_dot\n",
" \n",
" @property\n",
" def m_dot_sun_yr(self):\n",
" return self.m_dot * 3600.*25.*365.35/2e33\n",
"\n",
" def R0(self, z):\n",
" '''Eqn 14'''\n",
" const = self.m_dot * self.v_inf / (4.*np.pi* self.p_ext(z))\n",
" # const from cgs in AU \n",
" return np.sqrt(const)/self.AU\n",
" \n",
" def __call__(self, omega, z):\n",
" r = np.sqrt(omega**2+z**2)\n",
" R0 = self.R0(z)\n",
" r = np.clip(r, 0, R0)\n",
" return np.tan(np.arctan2(omega, z) - np.arcsin(r/R0))\n",
" \n",
"\n",
" def start(self):\n",
" '''gives equilibrium solution at z=0\n",
" \n",
" Returns\n",
" -------\n",
" d : float\n",
" omega (in AU) for equilibrium solution at z=0\n",
" '''\n",
" return self.R0(0.)\n",
"\n",
" \n",
" def solve(self, omega0, z):\n",
" '''solve ODE starting at omega=omega0 for z = z[0]\n",
"\n",
" Parameters\n",
" ----------\n",
" omega0: float\n",
" distance from star (in AU) along the radial direction of the\n",
" cylindrical coordinate system where to start the integration\n",
" z: np.array\n",
" grid in z direction (in AU)\n",
" '''\n",
" if omega0 > self.start():\n",
" s = 'omega0 {0:5.2f} is outside the physically possible range {1:5.2f}'\n",
" raise ValueError(s.format(omega0, self.start()))\n",
" \n",
" self.z = z\n",
" self.omega0 = omega0\n",
" res, info = odeint(self, omega0, z, full_output = True)\n",
" self.res = res.flatten()\n",
" self.odeinfo = info\n",
"\n",
" # This is to cut solution after shock merged z-axis\n",
" if np.any(self.res < 0.001):\n",
" ngood = np.min(np.where(self.res<0.001)[0])\n",
" self.res = self.res[0:ngood]\n",
" self.z = self.z[0:ngood]\n",
" \n",
" def stellar_wind_density(self, omega, z):\n",
" '''calculate the density of an undisturbed stellar\n",
" \n",
" Parameters\n",
" ----------\n",
" omega: float or np.array\n",
" distance from star (in AU) along the radial direction of the\n",
" cylindrical coordinate system\n",
" z: float or np.array\n",
" distance z direction (in AU)\n",
" \n",
" Returns\n",
" -------\n",
" rho: float or np.array\n",
" density (in cgs units) of the stellar wind\n",
" '''\n",
" if len(omega) != len(z):\n",
" raise ValueError('omega and z must have the same number of elements')\n",
" r = np.sqrt(omega**2 + z**2) * self.AU\n",
" return self.m_dot / (4.*np.pi * r**2. * self.v_inf)\n",
" \n",
" \n",
" \n",
" @property\n",
" def v_shock(self):\n",
" '''pre-shock wind velocity component perpendicular to shock front'''\n",
" try:\n",
" v_shock = self.v_inf * np.sin(np.arctan2(self.res, self.z) \n",
" - np.arctan(self(self.res, self.z)))\n",
" except AttributeError:\n",
" raise ODEnotsolvedException(\"ODE needs to be solved first\")\n",
" return v_shock\n",
" \n",
" @property\n",
" def T_postshock(self):\n",
" '''Post-shock temperature in K'''\n",
" return 3./16.*self.mu*self.m_H/self.k_B*self.v_shock**2\n",
"\n",
" @property\n",
" def massflux(self):\n",
" '''numerical approximation to mass flux for each step in the solution'''\n",
" try:\n",
" theta = np.arctan2(self.res, self.z)\n",
" except AttributeError:\n",
" raise ODEnotsolvedException(\"ODE needs to be solved first\")\n",
" # This is calculated by bin, while really it's a continuous quantity.\n",
" # Using np.diff() results in a vector one element short.\n",
" delta_theta = np.zeros_like(theta)\n",
" # theta is reverse ordered, so np.diff is negative\n",
" delta_theta[:-1] = np.abs(np.diff(theta))\n",
" return self.m_dot * np.sin(theta) * delta_theta\n",
" \n",
" @property\n",
" def L_X(self):\n",
" '''X-ray luminosity in erg/s for each sep in z'''\n",
" return 0.5 * self.massflux * self.v_shock**2*xrayfrac(self.v_shock/1e5)\n",
"\n",
" @staticmethod\n",
" def setup_plot(figsize=(8.5,2)):\n",
" '''set up 4 panels to plot the most interesting parameters of an ODE solution\n",
"\n",
" Returns\n",
" -------\n",
" fig: figure instance\n",
" axes: list of for axis instances\n",
" '''\n",
" fig = plt.figure(figsize=figsize)\n",
" ax1 = fig.add_axes([.06,.24,.21,.7])\n",
" ax2 = fig.add_axes([.27,.24,.21,.7], sharey = ax1)\n",
" ax3 = fig.add_axes([.48,.24,.21,.7], sharey = ax1)\n",
" ax4 = fig.add_axes([.77,.24,.21,.7])\n",
" plt.setp([a.get_yticklabels() for a in fig.axes[1:-1]], visible=False)\n",
"\n",
" #ax1.set_title('External presure')\n",
" ax1.set_ylabel('Height (AU)')\n",
" ax1.set_xlabel(r'$P_{\\mathrm{ext}}$ (Ba)')\n",
" ax1.set_xscale('log')\n",
" \n",
" #ax2.set_title('Shock location')\n",
" ax2.set_xlabel('shock position $\\omega$ (AU)')\n",
"\n",
" #ax3.set_title('Shock velocity')\n",
" ax3.set_xlabel('$v_0$ (km s$^{-1}$)')\n",
" \n",
" #ax4.set_title('Post-Shock temperature')\n",
" ax4.set_xlabel(r'$T_{\\mathrm{post-shock}}$ (MK)')\n",
" ax4.set_ylabel('mass fraction per bin')\n",
"\n",
" return fig, [ax1, ax2, ax3, ax4]\n",
" \n",
" def plot_params(self, axes, bins=np.arange(0,10.,1.), **kwargs):\n",
" '''plot P_ext, position, v_shock and a T_posthock histrogram in 4 panels\n",
"\n",
" Parameters\n",
" ----------\n",
" axes : list of four axis instances\n",
" bins : see plt.hist()\n",
" To compare different histograms correctly, make sure to set the same bin\n",
" boundaries for all of them.\n",
" \n",
" Additional parameters will be passed to ``plt.plot`` and ``plt.hist``.\n",
" Use this for simple customization of plots (e.g. colors).\n",
" '''\n",
" axes[0].plot(self.p_ext(z), z, **kwargs)\n",
" axes[1].plot(self.res, self.z, **kwargs)\n",
" axes[2].plot(self.v_shock/1e5, self.z, **kwargs)\n",
" axes[3].hist(self.T_postshock/1e6, weights=self.massflux/self.massflux.sum(), \n",
" histtype='step', bins=bins, **kwargs)\n",
"\n",
" def plot(self):\n",
" '''plot P_ext, position, v_shock and a T_postshock histogram in 4 panels'''\n",
" fig, axes = self.setup_plot()\n",
" self.plot_params(axes)\n",
" axes[1].plot(np.sqrt(self.R0(self.z)**2-self.z**2), self.z,\n",
" 'k', label='maximum radius')\n",
" axes[2].set_xlim([0, None])\n",
" axes[3].set_ylim([0, None])\n"
],
"language": "python",
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"class HotStellarWindShock(StellarWindShock):\n",
" '''This class extends class:`StellarWindShock` for hot winds.\n",
" \n",
" This class is derived from class:`StellarWindShock`. It is implemented as a \n",
" separate class (rather than just adding a parameter for the initial wind temperature\n",
" to `StellarWindShock` because there are situations when no numerical solution is\n",
" possible within the assumptions that went into the implemented formulas.\n",
" \n",
" See discussion in the paper for details.\n",
" '''\n",
" def __init__(self, p_ext, v_inf, m_dot, T_0):\n",
" '''\n",
" Parameters\n",
" ----------\n",
" p_ext: function or callable object\n",
" ``p_ext`` must accept a height (in AU) and return a presure (in cgs units)\n",
" v_inf: float\n",
" wind speed (in cgs units)\n",
" It is assumed that the stellar wind reaches its final wind speed before any\n",
" interaction with the disk wind occurs.\n",
" m_dot: float\n",
" Spherically integrated stellar mass loss rate (in cgs units)\n",
" T_0 : float\n",
" initial wind temperature (in K)\n",
" '''\n",
" super(HotStellarWindShock, self).__init__(p_ext, v_inf, m_dot)\n",
" self.T_0 = T_0\n",
" \n",
" def __call__(self, omega, z):\n",
" r = np.sqrt(omega**2+z**2)\n",
" R0 = self.R0(z)\n",
" r = np.clip(r, 0, R0)\n",
" last_term = np.sqrt(r**2/R0**2-self.k_B*self.T_0/self.mu/self.m_H/self.v_inf**2)\n",
" return np.tan(np.arctan2(omega, z) - np.arcsin(last_term))\n",
" \n",
" def start(self):\n",
" '''gives equilibrium solution at z=0\n",
" \n",
" Returns\n",
" -------\n",
" d : float\n",
" omega (in AU) for equilibrium solution at z=0\n",
" '''\n",
" term2 = self.v_inf**2. + self.k_B * self.T_0 / (self.mu * self.m_H)\n",
" const = self.m_dot / (self.v_inf * 4.*np.pi* self.p_ext(0)) * term2\n",
" # const from cgs in AU \n",
" return np.sqrt(const)/1.5e13\n",
"\n",
" @property\n",
" def T_postshock(self):\n",
" '''Post-shock temperature in K'''\n",
" return self.T_0 + 3./16.*0.7*1.67e-24/1.38e-16*self.v_shock**2\n",
"\n",
" def plot(self):\n",
" '''plot P_ext, position, v_shock and a T_posthock histrogram in 4 panels'''\n",
" fig, axes = self.setup_plot()\n",
" self.plot_params(axes)\n",
" z = self.z[self.z <= self.R0(self.z)]\n",
" axes[1].plot(np.sqrt(self.R0(z)**2-z**2), z, 'k', label='maximum radius')\n",
" axes[2].set_xlim([0, None])\n",
" axes[3].set_ylim([0, None])"
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"In order to check that the equations that are developed in the paper are correctly implemented, we solve them here for a simple test problem."
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"class ConstantPres(object):\n",
" '''A constant pressure'''\n",
" def __init__(self, p_const):\n",
" '''\n",
" Parameters\n",
" ---------- \n",
" p_inf : float\n",
" presure\n",
" '''\n",
" self.p_const = p_const\n",
" \n",
" def __call__(self, z):\n",
" '''\n",
" Parameters\n",
" ----------\n",
" z : array-like\n",
" same dimension as z_1\n",
" '''\n",
" return self.p_const + np.zeros_like(z)"
],
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LlCkrnf1y3TedQmbKBmC9XJYDm4FHgWM82wzDxooBeANoDXQMegDvB+N+HX/u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\ns5Ica1aA+K4j+Z/XK0nCTFW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"text": [
"0x7ff8b5424190>"
0x7f7c3c523bd0>"
]
}
],
"prompt_number":
8 4
},
{
"cell_type": "heading",
...
"Evaluating the position and properties of the shock front"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class PowerPres(object):\n",
" '''A powerlaw pressure profile\n",
" \n",
" p(z) = p_inf + p_1 * ((z_1 + z)/z_1)**(-eta)\n",
" '''\n",
" def __init__(self, p_inf, p_1, eta, z_1):\n",
" '''\n",
" Parameters\n",
" ---------- \n",
" p_inf, p_1, eta, z_1 : float\n",
" '''\n",
" self.p_inf = p_inf\n",
" self.p_1 = p_1\n",
" self.eta = eta\n",
" self.z_1 = z_1\n",
" \n",
" def __call__(self, z):\n",
" '''\n",
" Parameters\n",
" ----------\n",
" z : array-like\n",
" same dimension as z_1\n",
" '''\n",
" return self.p_inf + self.p_1 * ((self.z_1 + z)/self.z_1)**(-self.eta)\n",
"\n",
"class ExpPres(object):\n",
" '''An explonential pressure profile\n",
"\n",
" p_inf + p_0 * np.exp(-z/h)\n",
" '''\n",
" def __init__(self, p_0, h, p_inf = 0.):\n",
" '''\n",
" p(z) = p_inf + self.p_0 * np.exp(-z/h)\n",
"\n",
" Parameters\n",
" ---------- \n",
" p_0, h, p_inf : float\n",
" '''\n",
" self.p_0 = p_0\n",
" self.h = h\n",
" self.p_inf = p_inf\n",
" \n",
" def __call__(self, z):\n",
" '''\n",
" Parameters\n",
" ----------\n",
" z : array-like\n",
" same dimension as z_1\n",
" '''\n",
" return self.p_inf + self.p_0 * np.exp(-z/self.h)\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
...
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number":
10 5
},
{
"cell_type": "code",
...
{
"metadata": {},
"output_type": "pyout",
"prompt_number":
11, 6,
"text": [
"(0, 15)"
]
...
"output_type": "display_data",
"png": 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"text": [
"0x7ff8b5146bd0>"
0x7f7c33799910>"
]
}
],
"prompt_number":
11 6
},
{
"cell_type": "code",
...
{
"metadata": {},
"output_type": "pyout",
"prompt_number":
12, 7,
"text": [
"0x7ff8b50448c0>"
0x7f7c33868b00>"
]
},
{
...
"output_type": "display_data",
"png": 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"text": [
"0x7ff8b4ee7290>"
0x7f7c335d7c90>"
]
}
],
"prompt_number":
12 7
},
{
"cell_type": "code",
...
{
"metadata": {},
"output_type": "display_data",
"png":
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RFIN//oEHH0xpZ3yQqPjDkbyOGkRVSWgCKWHvmL73Rab7RoObkETgq5GkqpbE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\nF3M5lyGbJ5K6uW0Fq7c84nO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Bb7WoHKKYXY8oYU5/BwvVEqakFoGUsC0+tp2FhKnoCNwcZp0VgV7IsOQBYDKQCYz33Ckr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\nPhx+FjP46qMeMBYXw43fV+J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3FM5DOrdKHts8rSP1kOHOK5AOzzXkeBHyNuA5e2Qn8sZx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\niqIoiqJ48f/mOKti6W+YvgAAAABJRU5ErkJggg==\n",
"text": [
"0x7ff8b4de24d0>"
0x7f7c34989e50>"
]
}
],
"prompt_number":
13 8
},
{
"cell_type": "heading",
...
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number":
14 9
},
{
"cell_type": "code",
...
"Run with full_output = 1 to get quantitative information.\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"stellarwindshock.py:196: RuntimeWarning: invalid value encountered in less\n",
" if np.any(self.res < 0.001):\n",
"stellarwindshock.py:197: RuntimeWarning: invalid value encountered in less\n",
" ngood = np.min(np.where(self.res<0.001)[0])\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png":
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ruXnzpp0MVShsSFYWPPcczJsHbm48vmAu+w9Uw83tHEFBQfz888+OttDRVEXO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\nkN+gvqjLCV9DJNdHzC3+B41bmkgW1vQRNG5p5rgiRGzEvBJ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7cvURU597Dowr++0uSqzXy2kCNzfWrtFTs6aM/zJl7drsWLDevfPWK+xLbmFio7K+xevY\nUmUnZGBiXeRFfcnYvhoy030sUpz1twJbbBnliN0jaIkR27ABypaFzp21HfOvv/5i1qxZzJ49W+ke\nFVPU99Hx7N27l9TUVLp06eJsU/JggyN2GHgQ+TvV2lh2DGhlpV97pDp/5nDVZGRAfu6AfVNikFOa\n8bnKpyKTjc/MVS4OrP6SikFP80ClvIuJ4pPj+Tvh76z9z/Z+RkJKAiv6raB6OQvaEpmYOGLo9dbb\nK4qcwsaI/QeZVDU/TYAGwCgc54hZpEh1xBROp2dP7W0NBgODBw9m0CCzqd8UinuaEydk4PWECVLA\neeDAgWzdupVWraz5LS5LElDJZL892mZstOSarE92HsvMsfh4oCwy2P82MqC/G2A2qWD7P8bRz/Ab\nYc+E5amLiI1gwOoBecrT9GkazC86lI6YY7HkiI230vdPDW0cRknVEVMUHjc3Nw4cOKA5Q4BCca+w\nb58M2L55U8aD9+//GLt27aJhw4bWO7suE5Ap9AKAfcipwv4a+mnJNdkPGIKUp0gCBhrrqgI/GZ97\nAMuBLeZO0qBMDe6vaH6woKJXRdrVyKl60eK+FtSpoC1YPz3DwH0eF9HpDBaXbhYWX18Zf6ZxDYHC\nRiwNl03ItS+Aa8gRsHMOs8jkfJamJZYuhZgYGDIka/q90KipEOdQEPmKjAzYuBGCg60f/+zZs3ZV\n9VcUDer7aH/69YOffjpBgwYrOX78I8qUcV0FIxumJkE6Qw2N7c8gHSdXQGwKnUb3ge855OBpqWmU\n9ioFOj3CoP54uiJarmNLw0nlkMt1M7dywEPIwEinz/m4uWVPjSusM23aNNavX8/HH39stt5gMGSJ\nr2rtA7B27Vrc3Nw4YyJaGBsbmyP9EEhB15kzc4dPFAyDQWrZzJkDqan5txNCMGjQIDp37pyVwkmh\nuJdZtgymTKlFhQrbWLHiO2ebYy+8gLHAR0jx1VcBxymiKhR2xpIbE4Kc8zbdXkeuoHzb4ZZZwZC2\nmIzUdzCka1ctvlfZtm0bQgiCg4NJT09nz56cC3tu3LjBrFmz2LVrl+Y+mYSGhtKzZ09CQ0Mt2mBP\nUUg3N5g7V8a5lLFwu9XpdAwbNozo6OgcWQEUinuFQxHLSUlNytr39oYPPvBj+/ZtPP/88060zK4s\nQ0pWzEEq7DcFvneqRSY09XLcfJ6bGzC+Oro3ajnsHArHU5DxJEdORWvm0ryPuTz/E5L2RTjbFJdn\n3759tDFqPrRu3ZodO3bkqPfz82P8+PGUL19ecx+ApKQkIiMjmTdvHitXrrS73UMWPkW63vwMQ9Om\n+euJmfLEE0/g5eVlZ8sUCtcndMEYHt0wlqEftOLq1St0796dK1euADKZdwnKPtEUeAmIQKYfGm4s\n00J34DRyUdpEM/W9gePIFZm/A6brtq31BaBW6coaTbEdnQ4ofxlducsOO4fC8RTEEQsCbmhoVwaI\nRC4jjkIK4gFURGqu/IkMbvQtgA1MrlSPbxKhVa2StWLy8uXLHD58OEdZUFAQ+kIsTb569Sply5YF\nwNvbm7i4OLv0WbduHd27d6d27dpUrlyZI0e0pHbTzveXN/PuBvuoe+/fv5/Zs2fb5VgKhSsjDAY+\nndaNwTE/kf71KbjUnop+frRv35733nNMrJKTOYKcqcmkPdJpsoY7cgQtUwR2ENA4V5ttQEukLMb/\nAQtt6FtiOHZMKusrrWzHYGnV5EkzZX5IAbshGo6dinTako3n+Q3oCAQjHbHPkf8iJhk3l0b3gfnh\nFzHVfDBxZvv86vMjMjKSPn36kJycTFxcHAEBAXTp0iXfqb2oqCi2bt1qtm7o0KH4+vpiMBiyVhDq\n9XpNqwm19AkNDc1KgzJgwABCQ0Np06ZNvrbaOj3pboDpx+bTqeET9GrU22LbqCho3Nj8KNnly5cZ\nOnQoEybkXn+iUJQw9Houv/4in5bfis4HXuy3kJZtv8fDU0dISAhpaa4li2AnHgT2IlXyBVAbGbB/\n0rjfIp9+hUlxpKWvw9HpdAw95vik0efPS3X+4GAlX+EILDlivXLtC6R+SpKZtvmRbHwshfwHcQPp\niD1uLF+KTNhqsyM2IroiZ3icqUfi6WKnpN+uQOaNcsuWLfj7+xMQEEC9evU4fPgwiYmJxMTEMHLk\nyKz2TZo0oUmTJhaPWaVKlaxg9cTERCpXtj5Ubq1PQkICERERnDp1Cp1Oh16vR6fTMX36dCpVqsSN\nGzkHTePj421eufjJvrK83TGZoSsHcWr83/kKHI4ZA199Bb/+Cj165K2vVq0aZ86ccVryYoWiSEhO\nhsGDqb5uHWsf8OTapNeZvW0L/Z59EJBfjBI0HWlKQfMHFSbFkda+DsU016Si+GLJEYs1U+YNvIDU\nUnlaw/HdkMPG9YEFwB9AFeCKsf6Kcd9m9t9qxh/AxetFE/9j68iWre0zOX36NEIIwsLCmD17Nrt3\n76Z8+fKsWrWKGTNmEBUVxYULF7ISf1saERsyZAh+fn507NiRQ4cO0aNHDw4dOpSloh0bG0vdunXN\n9s2vTyZhYWEMGTKEBQsWZJUFBgayZ88eOnXqRLVq1YiIiCAoKIiEhATCw8NtTiI8YUIYET/0YNMD\nKYxcPoj1I3eadabq15ePkybJlG7m7knKCVOUaOLjoVcvDPsP4ObnR+C366FjR2o1OUBISAjdu3cv\nyZqLsQXsp/Umvda4dUIuAmhky0lCfvgBDhwA7J/iSK+HWlzEzWDgX7sdNS8tW8LChUpHTAu5UxzZ\ni9JAX2A1kAgsIe9omTUqAAcwH1+WX/C/sETXiocFCLHl098ttrMFa+csCiZMmCCaNm0qFixYIGrW\nrCnGjh0rhBDilVdeEUIIsXjxYnHw4EGbjmkwGMT48ePF6tWrxcSJE4UQQiQkJIgOHToIIYRISkoS\nX3zxhahSpYr48ssvRVJSktk+pgQFBYnw8PAcZXPmzBGjR48WQggRFRUlgoKCRKtWrUSrVq3EihUr\n8rXP3PueWfbva0NFrXGIr/vUEoa7d832T00VomZNIXr3FuLGjfzfh82bN4tu3bqJjRs35t9I4TK4\nwvexWHDunDA0aCimMlUM8PpF3Nh/UBgMhqxq0+fFCbQ7SgWlPVKOKZPJWAi6NxKDVPHX2lecXLPA\nYe+RIT1DXKSauKir4bBzKAoHGq5jS8METyIDEDsjpw9XA3OR6SAKwvtACnJFSyAQhxzqjcD8Pwwx\nderUrJ3c/yRe7jCJP+NKMeWdlnQe0a+AJuXElQUkJ0+ezCeffMIXX3xB//79s0bESgI6nY6IiIg8\niVKnTp0KaWnoF3xFl5u3CPzoI3j3XbPHSEwEk0WfZlm5ciV6vZ7//Oc/aiWlC2IuWa6le4ACTu/5\nmQPvvciZ3RP5lMm4uQl69nyFatXgq6++KlajYAVJllxIPJCxZF2QKY4OIn/zTOO8cqc4Wm0s09IX\nHCzoqnJNuj42ChPnwQCsB0wDc2xR1Pcne0WkF7AbedFmBumDjA37NJ/+Fr3MJk94Cx5DfDfnTbt6\nrq7K7t27xY4dO8SXX37pbFPsjrn3PUfZtm1CgBBeXkJcuFCElimciSt/H12B/T/NEZUm6gRTEH3q\nfy/c3Q1i5UohEhMTxQsvvCCuXr3qbBMLBY4fEQN4CulQ/Y0c1QKZ4igzEPdt4BRSvmIPUtTcUt/c\niE2h0xz3JmVkyHujm5vjzqEoFGi4ji3FiLVBevi7kMOxq5EB91qphgzGdzNu3wPbkRf0KqTuSyzw\njA3HzEKnk0d1u0difzp16gRIKYt7ji5doH9/CAuTgWDLlxf6kGlpaSU1cFlxD7Dxm7fpf346KV7w\n9O1qLNwbxIlT1+jS5T6gHMuWLXO2iUVJP+Qf+ipkjzwIwMoYOQCbjJspX5s8/9y4ae1bpBiEgWWt\nQIdgqDMNURQKS+PWx5AjVw2AaUgdFU/khfeyhmOfRDpzrZDLh6cbyxOArsbjdgNuFsTwao1LQyBU\nq1KxIN0VxY3PP4fSpWHFiqzAV0vkN8O8c+dOmjdvbvPCAYXCVVg68wWC/51Oiie8mNaUnz85x9bt\nuxg9uhMXL150tnnO4HPkavzyyFR85dDmhBV7hBC82AeGBTt28FDpiDkWLQEEAqnR8ipQE/gSGaio\nUBQd9erBuHFkuMH3c4dzLO6Y2Wa//QZPPinzUJrj/vvvZ/HixUrcVVH8EIKbH77Dm5dXoD//OJM9\nglj80Uk8PUszePBgXn31VW7fvu1sK51BHEWs3+Uq6PXAjIsYvvzHatvC4OsL7dpBgwYOPc09i6V5\nvfrIKUlLaGlTUIzTq+ap0awLl27r+XRoZyZ+OMUuJ3TlYP2SjLn33exnkZDAf5+txnsd0wiu3JF1\no/Pmv9y/X4oPPv00lCvnSKsVjkZ9H00wGGD8eJg9m01VazA45QSzZpenUaPfefjhIpevKhJsCHKe\nDVRFSkxkKtYK4CcNfbsDs5BhN4uAz3LVP4eME9MBt4FXgBPGulikkoAeSEeKvOZGXFi7jFq9X9Bg\niu2kpaZR2qsU6PQIgy2RQ4qiQst1bGlE7GNgA3Iasg0y5qs60BYZyPgr8F97GFoQGqaWpe4tqFHa\n31kmKIqaihUZ3m4UXumw/tpvHI87nqdJhw4wcKB1J0yv13Pr1i0HGapQ2JGMDHjxRZg9Gzw9eWru\nLPbtr4in51mCg4P5+eefnW2hs6mAXJHfDehp3LRILGlJU3QWeAwZXjON7BRHIJ29QGTYjjknDHBs\nrklFycCSI/Ys8AZwH9Lh2o7Mu/URckXka0hhV6ewo14q527t4vl2DzjLBIUTqDLufUackGtM5m2Z\nVqBjrFy5kkqVKjFjxgx7mqZQ2J/UVOjXD5YtA29vmT6if38aN4bBgxsQHh5OtWrVnG2ls/k/4/Zi\nrs0apmmK0slOU2TKfiDzH1skMjzHFKeuFnNzA8ZXR/dGLWeaoSgkllZNgrxIPyoKQxQKTfj7M7pW\nP+awkuVn1/F5yg38vPxsOsQTTzxBTEwMlSpVcpCRCkXhSU24yqaRnXlq/d/cqRBApc3LMbRrx/dL\nl/L888/j7u5Oq1atnG2mK1ALmIPMZQxSKmksWBWbtzVN0UvARpN9gRyc0CNXWn6j3WT74OamY+jZ\ny871BhWFxpoj5rIsvXSJGGDIxYvc72xjXJz09HQWLlxIamoqN2/eZNq0vCNJ06ZNo2XLlpw6dYp3\n3nkn37LcrF27lr59+xIdHU3Dhg0BmTqpV69enDyZnTc+JCSEcuXK2SXxdsOR79B1xkq21c9g2cGF\njH3cvBj27dtyoWVulYqKFdVKW4Vrc/viOXp/2pKIBhk08dtEqSrt2d7AC6+7KSxdupQDBw7kSC92\nj/MdsJxsKaTnjGVPWOlnSwBiEDAMeNSk7FHgMlAZ2AqcRmqN5cCRKY6KKtfksWMwf75MdaSSflum\nICmOiq0j5qbT4QHoVDCvVcLCwhg0aBAVK1ZkwIABREZG5gjw3bZtG0IIgoODOXr0KHv27OHu3bt5\nyjK1zEwJDQ2lZ8+ehIaGEhISkq8Nds312KIF0+Jb8OrBE3SvXj47hbwJw4fDkiWwaRM8kc/tOCkp\nidKlS+Pp6Wk/2xSKQhL/1wl6zH2YgxXvUmrJNqJuBFGlFFy9Co0aebFhwwZOnTrlbDNdicpIxyuT\nJYAWfZqLyNG0TGphfhStBXK0qzs5U/RdNj5eA35GTnXmdcSef14mwS0Af/8NJ4xLA+rXl45Q7vo7\ntKAljr0ezp+HRYsgOFg5YtbI7WwbM0RYpPjkv8iNbgjpfIjBUN/Zlrg8Z86cYeXKlQAEBATw7785\n7zX79u2jTZs2ALRu3ZodO3awb98+WrdunaMsN0lJSURGRjJv3rys4xcV7fuNpfcZKL3K/MKoihXl\n0m4zZgPQrVs3KleuzInMu5xC4QJcOrabx+e35WClVOqleDBtVG2qVxf07x9C2bIXAChbtizt2uUb\nG34vEg+8gAy+9wCeB65r6HcYeACZtq8UMi56fa42tZGrL59HhupkUhapVwbgjVwocBIznEqO1WCK\neX79VYYI9usH335rpn6jjm8ZVuDjK1wDLY7Ydo1lRcqMhEf4iPfZee5OkZxPp8ve8qu3B5cvX+bw\n4cM5yoKg/B+OAAAgAElEQVSCgtAXIo/YpEmTGDpU6i4fP36c9u1zysBdvXqVsmXLAuDj40NcXBxX\nr17F29sbAG9vb+Li4vIcd926dXTv3p3atWtTuXJljhw5UmAbbeY//wFPT+lpXbmSp7qjMVrk33yi\nRNasWUNycjJt27Z1oJEKhXbE778zcEFX/vDLoEmSF3teO8rbk+/nzz911K9fgR49ehTqPlCCGYac\nloxDjlINQFuwfgZSHzMciAJWIvXITFMcTQH8gAXIrDAHjeVVkaNfx5BB/BuALeZO8m+aFp/QPPXr\ny1vdf/4DLVqYqQ8QtMDxfyZbtoSFC2HMGIef6p7E0tSkF9LrrwyYBtWURwY5OpVzaRuAcI5fKo9M\n+VUyiIyMpE+fPiQnJxMXF0dAQABdunTJd2ovKiqKrVu3mq0bOnQovr6+lClTBpBz1507d6ZGjZwf\nn8FgwN1datDo9Xrc3d3NluUmNDQ0S6F+wIABhIaG0qZNm3xttev0pJ+fVG7dsAHWrIHRo3NUd+sG\nt27lnwi8nBIZU7gSu3ej69WL/5VOZ8Jgf75/9zD+lesAcrHkuHHj6N+/v9nvoYJYtMlVmMNaiqPh\nxi03Z5FZY+zKoEFw+bJMIFK9OvTsKbf8kHXf4ujJrbp1pbK+wjFYcsRGIleeVAd+Nym/jdRecSoV\nqx/mtk8GlSs9UiTnsxaKZq9QtbQ0qUe4ZcsW/P39CQgIoF69ehw+fJjExERiYmIYOXJkVvsmTZrQ\npEkTq8eNj49n7969vPvuu3nqqlSpwp07cmQxMTGRypWl7o25skwSEhKIiIjg1KlT6HQ69Ho9Op2O\n6dOnU6lSJW7cuJGjfXx8PAEBATa8Exro21c6Yps25XHEypSRmyXS0tLIyMjIGg1UKJzCxo3Qrx9X\nU8uxocUPbPxsALrSpZgyZQrNmjXjmWdkDHqtWkqiIBcTkQKsc83UCeD1ojWn8IwdKxVL/DQuBFe5\nJksGlhyxWcbtdeTSYJeiRedTnPe9QuuAR603LkacPn0aIQRhYWHMnj2b3bt3U758eVatWsWMGTOI\nioriwoUL1K5dG7A8IjZkyBD8/PwQQrBixQomT55MRkYGu3btokuXLsTGxlK3bl06duzIoUOH6NGj\nBwcPHqRLly64u7tnlR06dIguXbrkOHZYWBhDhgzJsXIrMDAwK6i/WrVqREREEBQUREJCAuHh4fbP\n79itGwC39u4g8XoMtfy1xwsuXryYUaNGMWrUKObONXcfVyiKgNWrYfBgyMig9P+9TNipwejm6Hjr\nLejfvz/BwcEEBgZy3333OdtSVyTK+Pg7OVdA6rBtRaTL0N7G5IGZuSZBcGrLW1nlbz36Fvd5571m\nPt/7OdfuXEOn09GvcT8erlkyszKUVB4BBgNDTDZHIywR/EZVQQji5yWTLLazBWvnLAomTJggmjZt\nKhYsWCBq1qwpxo4dK4QQ4pVXXhFCCLF48WJx8OBBm4751VdfiQoVKgh/f39RsWJFcerUKZGQkCA6\ndOgghBDCYDCI8ePHi9WrV4uJEyfmW2ZKUFCQCA8Pz1E2Z84cMXr0aCGEEFFRUSIoKEi0atVKtGrV\nSqxYsSJf+8y971o/ix+frCncpyCe+6qrpvaZ6PV6YTAYbOqjKFpc4fvoSE4v/FgINzchQIg33xTC\nYBDx8QZx8WJGVpuUlBQnWuhc0O5MPaOxzBzdkbITfyFH2HLzHHAcmdZoL3IFpda+AGJT6DSHvUf6\n9DThMxlBSM4t+lq02fYN5zbMatP267YOs0uRDRquYy1BOz8AAcigRNNI0dc09K0FLEOq8wtkeog5\nyJizlUAd5Pz+M8DNXH2Nr8E8D/Xw4/Cdm8zuNozX312swRTruHJuu8mTJ/PJJ5/wxRdf0L9//6wR\nsZKA5lyTZjg+4TlalV9BAH7ETE3IUScE3Lwph/qV+Hjxw5W/j4Xlxy9e5PlbS/h8K4zv/gG8/z7o\ndCxcuJCIiAi+//57PDyKrbqQXbAh1+RRZJoha2W5cQfOAF2RUhaHkGmOTBOId0COvN1COl4hQHuN\nfcHBuSbR6/ktwIP9tXTwWXaazGGth1GpbF7B6sVHFhN9PZqZ+2fSyL8R0WO05UpXOmIFR8t1rOWb\n3haZh6sgd8R0pJ7LMcAHOYS8FbmiZSvwOfKfxCTjpplHkitS7vxNAjzvjSH7Hj16EBERgZubW4ly\nwgpL07ZP4RW1grOeN4hPjs9x81m9GkaNgueeg9yzj3q9nvT0dNzd3ZWOmKJI+fa//RmevgZxM4Co\nhzrDlClZdS+88AIbNmzg6NGjPPTQQ060sljwFNADuXhsDtk/duWQvz3WME1xBNkpjky9k/0mz01T\nHGnpCzg+12THC9DxXx08+pbVti+1eYnoa9IRswVfX2jXDurUKaiVCktoccROIRN+XyrA8eOMG0AS\n8iKtAQSTLcO5FNiJrY5YyhjKn79DXY97Y447U0w1KCjIyZa4Fh7t2tNmO+ytDYcvHuLJB7KFE595\nRm7m2Lp1K3369KFbt26sX59bOkihcABCMG9qd15z3wLxDSj//V7Wl/LnzGiBv38ClSpVwsvLi3Xr\n1tl3hXHJ5RLyz31v42NmbNhttAm6FibFka19NZF71aQj8PL0okPNDtTx1e5VqVWTjsWSI/aL8dEH\nOTR7ELhrLBNIZ8oW6iKHiiOBKkCm+NMV475NuLmBJ+m4CaWrc09Tvz5t40uzt/Zdjv25O4cjZonu\n3buTmprqYOMUCiNC8L+JXXjNOwIMbty3OoKrt/x57DH455/9PPnkYHbs2EFAQIBywrRz3Lj9BNwh\nO3TGHSitoX9hUhw5ZM48MhLOnZPhFI6irm9d9r20z3EnUNiMJUfMtrFLy/gAa5ByGLdz1dkSlJmF\np+da0thDaso0SpKOmMJGdDqalKlJ3RsxeMbfsN5eoShq9HoYOZKuP0dQ8//gvcYjaPFzdT77DJYv\nB2/vR5g4cSLR0dH2l3i5N9iCjNVKMu6XRYq0WtM2KkyKI619HZprMgsh5FCaVnQ6qFLFfkrkiizs\nnWvStiPljyfSCfseWGssu4JUJo5DTnteNdfRNHdh7gvY4OlJacAjI8NOZiqcibmL19Lnb8pIr06M\nnB0DX1uLzc0mOTkZAC8vLzUC4SIU5hpwWdLT4YUXYOVK7vfyIrprKD5P9UYIwdSpx/D2ltfsK6+8\n4mRDnU9BfsCMlCHbCQP5Z1+LOKBpiqNLyBRHg3K1yS/FkZa+gG25JlesKODiIiFsn8t8/nn4/nsb\nT6SwRkFyTWrhtpntX2SSU2t/33TIVZNf5irPDNIHGRv2qZm+lteEjh4tl33Pm2fXZaaKosfc+27T\nZ/HRR9kSACbo9ULExQlx9WreLrNmzRKlS5cW77zzjq3mKoqIYv99TE0VIjhYXpvlygmxe3dWVVxc\nnKhWrZpYunSpEw10bdA+U7IXuagskwfJGWRviaeQqx//BiYby0xTHC1C5rI8Ss4UR/n1zY04uWaB\nY9+ooUOFqFpV+1apkrwmGzXSfIqjR4UYPlyIuXMd9zJKKmi4jrUE689GBiWGGvcHAvWNF+W3QKCF\nvo8i/0mcMLYHecF+CqxCBj/Gol3zJYtt3lfYFQRd7/yRFfWvuEepV08+XriQo/j6dahaFSpXhqu5\nxlzHjh3L2LFjVe4+hUMQKSnoBgyAX38lpnxrJj+0jSVtK2YN01SpUoXt27fz559/OtXOEsIbyN+T\nzLm5asgRKi0UNMVRfn3z8G/adZppNKZALFliW/voaNCQjcWU8+dh0SIIDlbyFY5AS4KqYOSFmWjc\nFgJPIpfrWkvE8JvxHK2Qgfqtgc1AAnJOvwEya31uDTGrfHZMz0cxj/PJ9nhbu96TjBs3jrS0NL76\n6iuumEmSPW3aNNavX8/HH38MyPQ/8+fPZ+bMmbz//vv5Hnft2rW4ublx5syZrLLY2FiaN2+eo11I\nSAgzZ9oz7NCEzPRL13Mm19UiQaVy9ynsjT75Dv/31v1Mu/0rVKpE3YjvKFW1ItOnC0JDQ0lPl8oK\njRs3pnfv3k62tkRwCGgMvAKMAhohpw6LHePGjcshTxQXF5cjtZW1fS0kZ6SwrxYc9VWLlVwFLY5Y\nMvLfhZtxewbI/ASdprZ443oAXOjMhYsNnWVCsWLZsmXUq1cPT09PqlTJuUh127ZtCCEIDg4mPT2d\nPXv2sGbNGgYNGsSECRM4ffo0kZGRZo8bGhpKz549CQ0NNVufiUPjsPz95WMuR0yvh5o1oVJeXUPO\nnz+flddTobAX+jtJvPRWA5ZVvsRnHeHChuW4t2nJ0qXw1lt6VqxYwQsvvFBihWqdSEOk3mVbZKxW\nUWR/sTvPPvssQ4YMyXFvynTcte5b43zyJR59CQZ30K5I1bIlLFwIY8bYdCqFRrQ4Ys8BLyAD6q8i\nL/DnAS/AaYOUTRs0BaaQoWtuta0C5syZw8WLFxlhRgxm3759tGnTBoDWrVuzY8cOzpw5w8qVKwEI\nCAjg33/zLghKSkoiMjKSefPmZbV1CpUqEeMHR8Vl7qTdySquXh3++UeOxOemV69elCtXjps3bR6M\nVSjMok+6zfC3GrL0vkt4p8PGrt9Ru/2TALi7Q9myHoSFhfHKK6+oBSL2JQQp6DoXGSrzOdrllayl\nKWqEjDdLBSbkqoslO+zmIHZg9uz27N49levXSwFyCvuCSciFtX1HkakjZkzvq7AzWhyxGKAn4G/c\neiKDE1OQU49OoVXT2xA4Fb/665xlgkO4fPkyhw/nHFUPCgoqdCzT2bNn2bx5s9npwatXr1K2rIxe\n8fb2Ji4ujsmTJzN06FAAjh8/Tnsz2WjXrVtH9+7dqV27NpUrV+bIkSOFsrHAlC3L832hTb9rnLhy\nQlOXEydOkJSUhK+vr4ONU9wLGFJTGPF2I5ZUuUSZyw2ZUm4rjwX9HwDfffcdf/8tF9yVLl2axx9X\nUa12pj8y1OUyMmtLS0DLF9sdmId0xpogR9Ia52oTj0znN8NMf4F0/FojlfYLzdix8OGHnvgZg350\nOh2lSpXKqs+9D5CSksKtW7fscXqFk7AUrD8R+Az5LyM3AnjdIRZppHEDPez8kH/iPJDpMB1L7rx3\ntu5rJTIykj59+pCcnExcXBwBAQF06dIl33/QUVFRbN261Wzd0KFDsxyNzDivmJgYwsPDefLJJ7Pa\nGQyGrFgpvV6Pu7s7pUtLPcSdO3fSuXNnatSokef4oaGhjBsnBawHDBhAaGgobdq0yddWh40CeHjg\nYZBPMwza5UxUaiOFXcjI4PKQvmyreYky1+pQ7qffefeGNw+1g6AgGW8ZGBjIH3/8QYUKFZxtbUkk\nBSnmmgFUQM7caAmc0pKm6JpxezqfY1i9qTX10q5gP3v2IC5fvsyKFSvw8rIuR2EwGKhduzZubm7c\nuKF0FIsrlhyxKOPj7yZlguw0Ek7lgcaP8nAMPOShk1HZJWSoPzM2YMuWLfj7+xMQEEC9evU4fPgw\niYmJxMTEMHLkyKz2TZo0oYmVFTDfffcder2e4cOH4+XlxYkTJ3I4YlWqVOHOHTmll5iYSGVj8Ht8\nfDx79+7l3XffzXPMhIQEIiIiOHXqFDqdDr1ej06nY/r06VSqVCnPTSE+Pt5xYpUeHngaHbF0g/V4\nidOnT+Pj40ONGjXUFJGicBgM8NJL1Fi9mb01y9P3vn0cvuZNp07wsDHhzciRIwkKClJOmOM4hFw4\n9g0ySP8OoEU6vrBpigSwDekEfm08fx5syTU5duxYUlNT8fOztg5O4u7urkbDSgCWpiYzUxwtMW6r\nkXkhlxgfnUr95u04cMuXuTHpYGYVoL3JPbpl675WTp8+jRCCsLAwGjduzO7duylfvjyrVq2ia9eu\n3L17N0dMQFRUFLNnzza7ZTpD/v7+PP20/EMXGxtL27Zts54DdOzYkRMn5JTeoUOH6NChA0IIVqxY\nweTJk8nIyGD79u057AwLC2PIkCHExsZy7tw5Lly4QL169dizZw8+Pj5Uq1aNiIgIQDpt4eHhdOzY\nsUDviVV0OtKNV7KHW/Z/i3Pn4NIl+Vtpypo1a2jVqhXr1pWsaW2FE3jzTVi2DLy9qbVqM2vXV2fw\nYPjww8OsX/9jVrMGDRo40cgSjQ4ph3QD+B9yFf5Q5BSlNQo7oPAoclryKWAM0KmQx6N9+/YEBgbi\n5eVV2EPli5d7GTr8A61uaskCJTl2TMaIzZvnMLPuabToiD2CFLUrhxzubQW8DIx2oF3W0enkUo5d\nu2T6iD59nGqOvUhMTKR58+a8+uqrtGrVin79+jFr1iw2bZJyNT4+Ply5ciVribOWEbGePXsye/Zs\nKlSoQM2aNencuTM3btxg8ODB7Nu3j86dO7Nx40bCwsLQ6XR069aNBQsW8P777/Phhx9iMBjYvXt3\njmP++OOPTJqUM097v379+PHHH+nUqRPLli1jzJgxjB8/HpDyFfUy9b7szZ073DGGTfiU8skqnjtX\nKlX/7385L493332XyZMnKw0xReFYsAC+/BI8PWHtWujQgRrItEUnT5Zm6NCJeHt706tXL2dbWtLZ\nCFlSXeds6Kc5TVE+ZOqWXUMKnLcD9uRuZHOKIxtG6QVSU4qbNzWPuNb1rsG+xUCjvOEm+eHrC+3a\nQR3ts6z3LIXIEGGRg8g0D0dNyv6w+1nyYlWxNqz/ZNGYTuKpOkPtpoDrqkyaNEkIIcTMmTPF+fPn\nnWyNfTH3vtv0WZw9K/oPQDQd6yliEmLyVBsMhbFO4Sxc+ft4a+PPQri7S4XyfNTxr1y5Iu7evVvE\nlpUc0D5itZSCBct7IBej1QVKAcfIG6yfSQg5V02WRQ5OAHgj1f3NrSkUYtMmza+5du2BogItxe/c\nJ68tK1sGiPIgfH19tb+xUVE2K+srCg4armMtqyYBcq+PdYkEj2nNWlILN96/c1SKRpVgevToQURE\nBG5ubjkE/xRAUhKrV8Op7Q0J8Msbh2b6B3Pnzp389ttvSkNMUWBux/5Jmy39mNBFz77/m8fV7tmS\nVRs2bMi6tu677748K9wUDqE9UmLiLHDSuGlZPp2BlGAKR8ZEr0QG6pumOKqKjCMbB7yH/C30MZbv\nQTpvkcAGZPLxQpGePpZbzKIM2qYm3YFbwI0bN9ixY0cOmSFr+wrXQYsjdgE5Fw7yX8Ob5FxV4jQG\nTXmG8IB/aH/9BPEm8RglkU6dOhEUFMQbb7zhbFNcj3hjdgUNUhRnz55l9OjRhIeHO9goRYnEYGDc\np4HE+BrY0bIcOxuMoHVriImRwprz58/nscceIyPDJf6rlnQyYx26IdPudQZ6GTetOmKbkGKw9wOf\nGMu+JjvNURxyyrICckFAbWSC8bPIMJ1WyGnRT8iHU8mxGk2BMmXaA4GU0TxGks3MmTM5fvy45n2F\n66AlRuwVZL7JGsg59S3IwETno9NxfvRgnov6iIR1L3Hsqb6UKuO4IEeFi3Lxonw0I7GRm2HDhjFs\n2DClbK4oEFu/epPF1S5TOgOWv7iBJo1L0bWLFLx0d/dk48aNnDlzBg8PLbdWRSEJQyrpfwt0cbIt\n+WJLrskVKyC1QyDVssLPtBMUFJRDZii//T9jY+kEPHD+vPOEQBU50HK3uAYMdrQhBeW+EeM43uUj\nks7cZar/03wyY4ezTVIUNWYcsc2boXZtaNzYfOyrkq1Q2Ir+1k0mnJkD/hBSdSBNGj8GyCDmTHQ6\nHY0aNXKShfcc7sC7yBGt8eTU9BLAF84wqjDMnj2Iy+xiBWicnMzmzTff1LSfKNJYXB3KVvPXfOxj\nx2D+fLk+TiX9tj+Wxj/nmmxzzOy7BF7lK/Jhr+EwUsfne4KZ9VGYs01SFDW5HDEhYMgQaNoU/vor\nu9k777zDihUrSE1VyW4VtrNx0duc9NdTO6UUb7z8bY668ePHM3fu3Cw9PkWRMBCp4eWODJz3MdnK\nWejnsowdO5YQ5Byoo7iYdpVeL8OIFnE5Vo7HxMTku3/+PCxadIEtW9RMgiOw5Ij9jhTH+x2pNpz5\nPHPTwrfAFWTwZCYVga3An8hpzkLnmBk35Ru6/jEVw8E3GDftId4ZZy4bhaKkcvziEfbXhNu1ZDLz\n6Gi4dg2qVYMHHshu17p1a5YsWaLidxQFouHPexhzECYFDKGMZ87xis6dOxMdHa3UzYuW00gNsZeA\nD8xsWihMrklrfW2mffv2BGL7aFhBiA1Nz5Frt127dvnuS4esNadPv1cEliny46j1JmbphBS8M3XE\nPgfeNj6fiPwimcOmJaJ3U+6KGvXXCAgUVSo8LsTq1QVaZqooesy977Z8Fs+94C0IQSz6dZoQQogT\nJ4To21eI0aPtZqLCCbjU9/H6dbnkv0wZcfVCinjmGSGmTHG2USUbHJ/BxR2Z4qgu4Il5+YrKwIPA\nR+R0xLT0BRCbQqfZ+sJt32wg6sAvghBEmSo6kZCQkFX+4IMP5rt//PgNMXjwfPH116fEr7/+Kg4f\nPpzVztr+vQ52lK8oKHuQisemBJOtzL8UsIsSa6kypTh9pBsPNazIuVu7YcAAGDWKDJX+oWSTnExU\nWTkd1KSxTKbcvDmsWSNjGgAyMjJUcL6icBizUNCwIVdulWHVKli1yqkWKQqPaa7JdLJzTZpyDTkb\nlDt3mpa+gG25JuvUGYQvLTnCfZr7FJS6gz1zpFI6dOhQvvstWviyfPloXn65Kb/88gsHDx7Mamdt\nX2EdRzti5qiCnK7E+FjFXgf2Ke/DwegwvGZ9CaVKsf3rr3m6alXSQtcgDNZ/iP38/NDpdGor4k1r\nXjVz6E9HcdoYc9q4WnOzbUJDQ2nWrJlKaaQoOJl5snQ6KlWST+PisuULf/nlF3r37s2RI0ecY5+i\nIJjLNalVbl5zX1tyTb7/vowRq4vrDiA89dRTtGnTxur+5s2beemllzh06BAAFy9e5P77789qZ23/\nXsLSqskksofUvIDbJnUCKG+H81sctgsJCcl6rik1BMglcmPHQlAQX3TsyGu3bzN5cCw3/vsFfSbe\npefgibi5u5vtmpCQYKP5CnthLi2Els8/+sgWUjyhVpoXvmXMhxs+//zz1KpVS0kKuDgFvQaKhMz0\nXKdPU7V8Mv/9b1kefzx7Re6ZM2cYMGAArVu3do59JYBCpIZ5BtiMzPbzPtAGmAZY84oLM0yuua8t\nKY6GD28PIxyr9ZWZa7KOQXuuSVOCg4M17e/atYs9e/awaNEiQOZfNl0oZWk/PDycunXr0rBhQ037\nroSjUhwVlrrkjBE7jVQlBqhm3DdHoedmM1JTRdKshaKB+xnh94q/oDKi+YCyYuOKD4RBry/08RWO\nQ+vnv3hCkCAE0f/DZg62SFHU2OMeYFfatRMCxO3/zbHYzGAwCIPKq1Vo0O7sZP6+dAR2Aj2RavfW\naI904DKZTP5B91PJGSOmta9NKY6ML9yhMWJFmeIoPT0967lerxfJycma9gcNGiSWL1+eVWdpf9eu\nXeKnn34S165dc9jrKAy4QIyYOdYDQ43PhwJrHXUi99Kl8R47ggMXyvC8e308fOBkk2R6/DmVB14r\nR4tmg7h25rqjTq8oAqpG/0uvM/BE/W7o9TBwoEzynbkwcu/evaSn5w7vUChsR4wbx5QgqHl+LIdP\nbM633SeffMKHH35YhJbd82RqLvQEvkGmG9KSW+ow8ADZuSafRf4+mSO38KAtfTUzaNAgAoFLhT2Q\nnTl2DEaMgHnzbOtnOgvh5uaGl5eXpv1u3brRoEGDrDpL+1u2bGHZsmXExcXZZtw9RCjymkpDzqe/\niJSv2IZ1+Qq7e6aJ1y+Kzz56StR4003wUAcBXUVpUsR7zdeK5A0bRIZK0OsyaPr8U1KE8PQUQqcT\n4tYtkZ4uxJo1crWkwSBERkaG6NKli6hTp45ISUlxvNEKu+KIe0Ch0OvFmJdrCkIQtSaWErH/nsqq\nOnBAiKQkIS5fviyaNm0qLl686ERDSwZoHxH7FVgInDP+npQBtM7vPQWcQQbeTzaWmcs1eQu58Cwz\n12R+fXNj04jY/v37RQSIZBcbETt3ToiFC4UID7ftVEVJeHi4WLhwoeb9osKG69glcdgbk343RYx4\n/k3R2G++0KEX03hXTAcxtmxZId54Q9zet1NNXToZTZ//gQPyhtKkicVmFy5csJNViqLEkfeAgpL6\nzznxyCulspyx03/tF3/9JUTlykL8/rtsk5GRkdX+r7/+EqOVjkqBQPsPmDfQDzlCBTLkpZv9f5IK\nhDi5ZoHm1zxwoBCPEyEuUs2lHLHiwIIFC8TIkSM17UdHR4uTJ0+KtLQ0h9uFi05NOh2PUmVY+P10\nohJG83fEv4wYV4693t70Tk6GWbMY83kgPvW78MSTwezftBCDXgmAuiSRxjCQhx+22KxWrVpFYIzi\nXqB0zbpsfP0gHa6U4h+vNNp99wh79qxi9mzIXDjmbrIYaMqUKTny/alpcodQFTkq9hcQhAzedxn9\nhH/TtIe/REbCLgJJpYwDLSqZPPHEEwwfPlzT/qhRoxg4cCA3b97k2LFjORYNWNu/13C4p2qKQa8X\nhgMHhH7s6+L+Vz0FusqC5+oIQhBV33ITHTrfJ44umiP0d9QUV1Gg6fPv21f+s/vmmzxVmzZtEvPn\nzxeJiYkOsE5RFBT1PcAWbp89Lfq97CsqvY2I9fcU4sMPhcgV2hAbK0RMTKy4c+dOVlnv3r3F+vXr\ni9rcYgnaR8SOIxUA7keGvEwHNjrkV8l2bBJ09fYeKOBxsY9aDhsRu3Pid7G3FuJI+7q2fiQlkvvv\nv1/8+eefmvdtBTUiph2dmxu6hx/GbdZsTn2eyNgRo3m9li91brsT525g/29XqTjqDer7xNG3+n5e\nfvx9Uv+OdbbZ9y4GA2QuEQ4KIikpZ7W/vz87duxglVLdVDgAn3oNWf3lRQ7depY619NhyhRo3Rr2\n7QMgPR26doXg4Dps3lwWgwHi4+M5duwYXbp0AeRy/ZkzZ5KcnOzMl1ISMAAZQF9kLuS3kNOTWtCS\npskGP44AAB5DSURBVGiOsf44MlNMJrHACWTmGbuMwM2aNZYvuUlDrtrjcGY5n3yJR1+CwR1cbUmA\nc2jZsiWlS5e2up+WlkZaWpozTHQqhXFy7YZBrxe71i8So/7TVhxqONj4B+SMcKOq0IO41bKReP2t\n1uLT94aJlNs3nG1uicHa5590eL94sTfih8CK4k6SQVSoIETXrjJ+X1EycJV7gFV27BDi/vvlyIRO\nJ8Qrr4jTh26JOnVkUaVKQmSu0jeNSTly5IioW7eu0BvjUVNSUsSZM2ec8AJcE7SPiEUCg4FTgFHw\njVMa+mlJU9SD7NG1h4EDJnXnkIvPLOGyKY4ajSuluc/Ro0IMHy7E3Lm2vZSSQmJiovD09BR+fn42\n90XDdawULq2gc3PjsV4v8VivlwA4v/8i/wvZy58nH8ctcQM77p5mzmVg11GmXv6d+w6OZeR/wniw\neR+e7Dc8W/FRYVf2Rizlu9ZwMlWH23odt27B7dtQpowcadCp911RVAQFwYkT8N//wmefYfjfAkZn\nLGbohGfwM3wLwpPMVfqenp6A/PX08fFh9uzZuLnJiYktW7bwxRdfZIlBpqWl4enpqa5l6wwDRgH/\nRTpHAcAPGvqZpimC7DRF0SZtTFPyRSJXZZpmh7knPpzz52HRIggOhldfdbY1RU+5cuUcOhqmpiZt\npHaHGnwc/iJhl36EhAQazVzKgPSG1G7kyd1zPfinbCLvHdnIqPEvQ5068OKLHPnwaw79WtC86Qpz\nbD67BYAu97Xj5Enp7w4ZArdv36ZBgwZ88MEHKr+koujw8oKPPoKjR9n1VGN21Ejjw4Qf+F9cRVo+\nmnd6fMYM2LTpgRyq5FeuXGHIkCFZ+/Pnz2f8+PFZ++p6zpc/gNeQckkAZ4FPNfTTkqbIUhuBlGI6\nDIzI7yS25Jp0VR0xhWNRI2KFoVQpGvUYwqoe8uZ56mAU27ct4/utFelSOgX+/geWLGEM5zjARe73\n9OPZoFVUfuwPnug+nCZtOzn5BRRPxJ07rC91DoBej4/k0TYwahT4+sp/Lj///DPbt29XIwmKoqdZ\nM4LWn2THnPG8EjuPMxWT6LzxWf4vYhYzxqynkrc/QsDXX+dNGj5iRM7f8oMHDzJgwICs/QkTJtCs\nWTOGDRsGqJFfExoAHwNNkOn4QDpJAVb6afVs83uTOyJ9psrAVmSs2Z7cjRavDoejMYD1FEdjx44l\n9ccfKXj2XcfQsiUsXCjHFu5FhBBZK55LlbKsFeyqKY4Kin0neYsavV6II0eEmDlTPFghWHgRLkCI\ndh17C5oi6I1oMq60eHViczHptTfFyUMnnG2xS2Hp8//jx7mCEIT/ZA+Roc/It52ieFPc7wGpsX+L\nD19uJEq/hyAEMe+5B+RSSiHE9et52xsMQsyZI0SmFqzBYMihSdasWTPxe6ZYmRCiX79+YufOnVn7\n+hKmfYh2R2kv0BUZOF8HCEHmmrSGljRF/wMGmuyfRk5N5iZ3CqRMbBJ0LQodsXOHtooOLyEGvljO\n1o/knsXRMWKujAPeTueRnpIuIhefFDPef1ZUa1hKlH5V3pwJQeDZVIzxaylEq1ZCjB8vfp81SyTH\nxTnbZKdi6fP/eGxbQQhi6Aetc5SfO3dOyVWUIErEPcBgEGeWfSnG9C0jMnTGyP1t28w23btX/qZ6\neAjx0kvSMTPl9u3bWc5WRkaGqFChgrh69WpWfevWrcXp06ez9k3z+BVH0P4Dlpnc+6SZMkt4ADFk\npymyFqzfnuxg/bJAOeNzb6QzaE5E1kZlfSEieFwkU0YJupYQUI6Y63L3TqLYs36eeP+9zsKzzEPi\ncmlvIUAYQNwH4pybm+jru110fChUDO47ScRGn7J+0BJEvp9/UpJI8fURK5siDv62MkfVp59+Kvz8\n/MSWLVuKwEKFoylR94CrV4V46in5A1iqlFxpmYtTp4To318INzfpiFkjPj4+x3M/P7+sEbT09HRR\nvnz5HH9MoqOji1UycrT/gO1DroD8GXgVKWNxRmNfaymOAOYZ648DRtleApCO2zHkCs38UxyVKSOE\nt7embaC7u3gcxEUHrppUjljRgobr2JUDDIyv4R4hJQX27SP+118ZuXQpc2+Vpbr+HyARqA6T0mh6\n141OHvUpfas2X7z/DW41azrbaoeh0+nMBycvXQr/93+I9h14re0+uneHHj3AuPCMf//9Fx8fH3x9\n80thqigu5HsNFFf0enj9dfjqK6hVC2JiwLiK0pTYWHk9166dszw93WzzLO7cuYO3tzcAZ86cYeDA\ngRw9KhcJXb58mWbNmnH9+nV0Oh0pKSlERETQo0cPe706u2OMf9PyG9UOudLRFzklWR74nJxSE87C\npiv4AJCK1MnwstK2wGeJjoYmTaBRI/lcYRVhQ4xYbmy4jl0Sp3qxzib1+m2x+r+7xIMPfiq8/YOy\n4kwYjfAoj/iX6qJ96SPi5nPPiRUjRwoRE5N3LqMYY/bz1+uFaNpUjhwuWix++kmIRx4RwkS4XFGC\nKJH3gIwMccu/nDCAEH/8obmbXi9Ep05C7N6t/VSmMWORkZFi2LBhWfv79u0Tbdu2zdo/f/68mD59\nuvaDFwEU8ykdI+LkfQXQBXOxETGlI+bYGDElX+GilK7kQ/93HuPQoYkkXdvBrUm32NN2PmPEwzzd\nsDK7S3ej2t1z/LZ8OYu+/hrq1+dEiyp0efZBHn14JOt+2EFGegnLkfnjj/DHH1CrFroXnuc///n/\n9s48PIoqW+A/AiQIkUWQgBIpFtnEUVQQFAmDirviLoIKURx1VFQGl1lccWFGHX066BsHfc7IKK48\ncBwZUBEEEVEjmyBqEAVMQJawBUK6549Tla6uVKWr0tVJJ5zf99XXtZ46XXc/99x7Yf58iEZ38sAD\nD7B+vQ76VtKUaJR9n37C6/n9OXrEdk4d3ZC1Lf03kj/5RKxkJ57o/5XW/GQA/fr1Y/LkyXHXR44c\nWbG/YMECFpirAgDMnTs3buqMkpISNm/e7P/lNUtfpFvyC8RPbCniuJ8W/Ni8Bl7SoIH/rVevwOJb\ntoR+/aBbtxToXgew5hFLVRqozYqYn6UlQqcuDSu165rVrDkDz76BpyctZNqiYi7e+hx/nd2ZFjfe\nyK/69oXWrZl14EbeX9aUBYvKGXbFELKPmcLg4W2448ohsHgx7EtdxSzV3zVSXAS33CIH99wDNvPw\n7t272bBhA1dffXVCOanSU+WmVm5Y1Nj/jkTg669h6lT+/ptTufKq5uS83p+LOy+msBVs6WnQtOXB\nvmUOGADvvRfrgk9WzwEDBnCLlZ6A3r17M3bs2IrjhQsXUl5eXnE8depUxo2LDQr8/PPPmTVrlquu\ntcAU4AXgQuAcczu3yidiJLPEUehlWEcG0JKj+Jy2gZ6bE+DeXY1hfi4sOmg3ZeVlFdu+iHv5EIlG\nODS3jNFX7yMzM/amgw+WbDgzE7ZurfzcwQe7n09ETcWldMqraqsi1hBxgDwdmftlOJVHq6SEdPr4\niahK10ZNGtHm5KMZ+NRTXLJoERQXc8ET73Ke0ZWc3M5kZK9jT4fP+HDtzyye+wH07QutWvG7LsO5\n/5Q74aOPYM+eGtE1WfZu28wF9/bk/l4bieTlwejRcdfbtGnDpEmTeOedxOv81rUKiMoNl9D0i0aJ\nbtnCz0sWsmLG8zz/x7vY8rvbYPhw6N9fTAjdu8Nll/HYztn8o8sONjeF7uWtmDTgQRbcupw2Tdsk\n1LWsTNpQM2dCw4bJq+31/3v37k1eXl7FcX5+PuPHj684Likp4bjjjqs4njZtGvPmxabMmjhxIo8+\n+mjF8YoVK1i1yq+/fNJsBKYjE7musW2J8FMOnYksJn44cC3wTIBnA1PGOLbxBE2CeYgFqoh93wIG\nXg3HD/2ezAmZFVt+fmvo2bPS9tKZHcickEnW/Y155LFbY7qWxTbX/+I4X1gIy5bJ5lwb2Lq+Y0d6\nVsSi0WhK15qsrQld/SwtUYk5c+bETYZX1bG17/ytDomedbvuR7dEOgciI4NO/U7jlvFZDB48mEh5\nhG8KLuTZv61iyCHl0GgNc779lhd3FHLOd2vhvYmMO6MhM0ob0ymzPSPPuZ1TzzmfdoflpF5Xl2/i\nxaoP32DM61cxL2cnszeezYxvX2Z6UQbtXZb01cktFV9Eo7B3L5SWQmkpW7ZsYOvm9ezatoltJcVs\n276Rkh2bOWFPW3J3ZEBJiTTti4uhqIgbDv+a6R12UtwMyqzK0S4Y/upCzvjG9p5DD4U+fbghJ8rO\nbp056+Tr6N62crdQWZkYz444Iv78pk3QrJlc79oVVq9O2RepRJs28ZVEuzUM4JhjjqFdu3YVx0VF\nRWRnZ1ccP/vssxiGQffu3QF4+OGHyc3NregOXbhwIS1btqRHjx4ARCKRuK7UgNwHTEZmubdKyijw\nZoLnqrvEUTtkTcvAZVgimtAH6EyTFNpIOm2FI4vgK0c7oOHWElhZUun+BpmQEYFIBqze9DVbdm+h\n1QGtKLatS964MZTuK2VracwEtuQ7iGY1QT4Z5OeDVfd5/31ZGcxOfj7cfXcIfzAF7Nixg9atW5Od\nnZ2S7snaqoi5LRtxfKKHtCLmX9eMhhl0OzaPx4+NtXLnjBvH6MKDuTRzHSwvYZaxjNXTylmdU8h/\nHu0GN7Wm8QGjGHToEgbPngaHHVarFbETxmazsNVOom2g2cwJ7Pz4dywGnnwSHjEXMJk4cSJr167l\n1ltvpWvXrtXSQ0ljRo/muWYr+TizmHIilEcj8kuUm4oMTippKd2A5eWyRSJMyP2OmS03Ux4tZ2+D\nCKUNytmdEeGJOU1gSSncd1/cK667CF7tXfnVr7wGly6vfL6kE6wz/X5a7M0gpyyL0n0ZNB5xAXQ6\nGTp3FmeaHJn386pSGDMGPvin1P9mzoyXt2MHnHACbNsWf94a+NulCwwZIgbsrKzqfMTwGTZsWNzx\n0KFDufzyyyuOO3bsSL9+/SqOCwoKMAyj4njSpEkMGTKkoiJ2zTXXMGjQIEaNGgXAM888QwCuAroj\n5VnEdj5RRcxPOeS1xNEhPp4FYMKGu3mTQ7mZ/+E9lnMyYEW3CxjEFazjfGTm/TGcTj/a054NCVSv\nPk32wZIAn/eKJdB8DwwbDt9l7eKKMa15+7XGOMcOzu4a4ZxLKndvTlzcitvbX4Sx/iqOaGUA0OzJ\nF3loxlusaRQzja3f9CBPPv8KHb9aAevXs2Z7a0Z9OAqAjtk/0/3ssXH3b992CJ/Nv4mZJ71Cp/KY\nI94Xm3J55qs8vmj0M1ntltKrz8vYObfwPNZuOBJ2zwCbX/GNu3by3tLzAGjddmXFc3dtP4pO5c35\n8uK76Tnl9/4/XB3gQuA52/FI4CnHPd8grRrd9s9tbxrooFvtbnvSQAfdam+z2xerYhXVmx7ATzk0\nA7APkZgNHOvzWdByTDcf8bi2LGLrgFzbcS7SorCj5g1FURQlEQsQPy0X+2WV+CmHnPd0MO9p7ONZ\n0HJMSWP8LC2hKIqiKIlYCZQBXxNs+opkljjSMkypF7gtLaEoiqIoQTA8Nj9Ud4kjr2cVRVEURVEU\nRVEUpfqENVHi80AR0lVhcRAwC+nG+A/W2Gr/5AIfIP4oy4CbQ5LbBBkeXwCsAB4OSa5FQ2Tm8Rkh\nyl2DdAF9ASwKUW4y4R80zO8y37MSGOohszphnkhudcLbj64WQcLbj9w1BAtrv7q2BF5Hpn1YgYw8\nDOsb1DY1MWm5W3wPG6/4HzZeaSIVONNHKlhD5TSjKHWChoip30AcYpPxvTgJmQnbnkn9Ebjd3L8D\neCSgzHbA0eZ+NtI10TMEuQBNzd9GiC/KwJDkAtyGzEA+3TwOQ24hUmjaSVZusuEfJMx7mfIbm+/7\nBvdJroOGuV+5QcLbr0wLv+HtV26QsA6i64tAvrnfCGgRktzaJsx8rCrc4nvYeMX/VOCWJlKBM32k\nArc0oyRgMDAPmTk5r3ZVSUgz4FPgrNpWJAE9kO/5KpB4/SFhAPCu7fhOc6suBvGZ1Eogx9xvZx4n\nwzTglJDlNkXC94iQ5HZAht3/klgLMAy5hUBrx7lk5YYR/gb+wvwu4i0V7yIO2YlIFOZB5foJ7yAy\ng4S3X7lBwtqvzBbIbPhOwg6v2iDsfKwqDFJbEXMyDTg5xe+w0kTwhTET45Y+UoFbmnElXVsTtUEE\n2A5k4T4MOZ24HZha20r4YCVwPXAZcJrPZ7wmUAyLHMSUj/mbU8W9iTCQ1ugnIcnNQFrORcS6AsKQ\n+2dgPPGTXYYhN4pkaIuBMSHJTUX4e+l0CPFp3c+7DBKHuV+5QcI7iK5Bwtuv3CBh7VdmJ2R5oheA\nz5F5uZqFIDcdSHU+VlsYxOJ/KnCmiRUpeIdb+kgFbmnGlfpYEfPqM0/UXz8PGap8J7JkRqqprp6n\nIpFzY0q1i6e6uoIswPsvZAkQP0Sro2A1sSbcqw7ZwBvAWKQCH4bcCNIF0AEYhLTYkpV7NlCM+Cl4\nTXpZXX1PRDLlM4BfI90kycpNdfgn0qmqa8mEudu1ZMPb7VoY4e12LdmwdrvWCBmFOMn83Ullq1Ey\n4VWbpKteyZCN+PONBVxWiwwFZ5oYHLJ8P+kjLBKlmQrqY0XsBaSCYMdrgdYrkNrxIcQSzlbEKpau\neuYh5vjLkVp2TSywWF1dQUy/ZyDLkPjBzySLyVCEdHcAtEcSZVAaIwXyPxAzfVhyLbYhlddjQ5B7\nArJeXiHwMjAE0TsMfa11WDYCbyFr9yUrNxXh76WT22Sd6zxkBAnzIHLBX3j7lRk0vP3KDRLWfmX+\naG6fmsevIxWyn5KUmw6kOh+raaz4/xKx+J9KrDRxXKIbA+KWPv4e8jss3NLMfoVBvPXGT3/9+cCz\niOVmUCqVs2EQXE+LqxALXk1hEFzXPOBJ4H+BW3y+J+yJEg0qO25b1rs7Ce5M3gBJuH92nE9Wbhti\no8MOAOYifhjJyrWTR8wnIlm5TYEDzf1mwHxkFFuycsMIfwN/YW45f2ci3WTf4t6wCRrmfuQGDW+/\nutrxE95+5AYN6yC6zgW6mfv3mjLD/Aa1RU1O+GqQWh8xr/gfNl5pIlXY00fYeKWZ/QqD+Ih5Ef7W\nBatpDOqGnlCzuoY1UeLLwHpk3cofgNHIKJbZVH96hYGI+bwAMW9/gVgFk5V7JOInU4AMeR5vnk9W\nrp08YqOEkpXbydS1ABnSboVTGPomE/5Bw/y35ntW4u3HWJ0wTyS3OuHtR1c7fsM7kdzqhLVfXY9C\nLGJfIot0twhJbjpQExO+WvF9D7H4HjZe8T9svNJEqrCnj7D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"text": [
"0x7ff8b5284a10>"
0x7f7c33b02110>"
]
}
],
"prompt_number":
15 10
},
{
"cell_type": "markdown",
...
"Run with full_output = 1 to get quantitative information.\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"-c:92: RuntimeWarning: invalid value encountered in less\n",
"-c:93: RuntimeWarning: invalid value encountered in less\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png":
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dO3eOTZs20a1btyx1AwICGD9+PACDBg0iICAAX19fk0q8Uu7zTkxCDDsid/Dc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\nAABJRU5ErkJggg==\n", 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IVRbALWSciQtWk0ihsCTFi8PUqdJbZ+pU6cJcunS+3XSfGX6wFJ8aDpqa0d7YcVPs27eP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"text": [
"0x7ff8b52ea6d0>"
0x7f7c333dc090>"
]
}
],
"prompt_number":
16 11
},
{
"cell_type": "code",
...
{
"metadata": {},
"output_type": "display_data",
"png":
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asuPCDqPnNRppDatZE3791bIgxO+99x6LFy/G07NAca0V5hkNPIn0Sb4KDEX6\ndCkUxQZTuyZdkLFRaiCD1mVRhbyB7Yqc1m5P4EUsXm7G/PyLB3FxcdSsWZO0tDS8vb1p0qSJ2T4n\nTpxg8+bNRs8FBwfn+MH+9NNPGT9+PABarRZnZ5mBKjMzE2dnZ6N1xmQcPHgwa9eupUWL7PeycePG\n+Pr6AuDr60vv3r0BaN26NTExMQBs2rSJ5cuXA9C2bVsmTJjAlClTGDhwIN26dcPedO0K9evDv//C\nnj3QyUiY4XLlytG8eXO7y6Io3Vy8dZGXN7zMrbu3OJVwih6NeuRpo9HA66/D6NFgKv5qVFQUFy9e\npE+fPgBqN699iQEecbQQCoUpTCliLyF3l9QFDhjU30Fu2XUoU68M5ABd+O5MmNXhjM25ldnK7axz\n587Mnz+fzz77DECv2JiiVatWFi2jCSHYunUr06ZNA6BWrVokJ8tlk9u3b1OjRg0Ao3WGeHp60qhR\nI3bu3JlDEatYsaL+uZOTExV0kVOdnJzIyMggNTWVmzdvUru2DKjbrFkzDh06xIYNG5g2bRpBQUFM\nnz7d7OsoDE5OMgl4jRrwwAN2vZSijONRyYPHWz5OQmoCz/k9Z7KtuSD4N27c4JlnnmHVqlUlMhxH\nCWEyMkm3sS2oAnitqAQZfGoW3PwcgI8f+pimVZvmadMzGFzTBfyYc7PGon6LaOylgiWWdkwpYgt0\nx2sUw90gp7Q7gCiOXk9BBjYunly7do1q1aqxf/9+Ohkz2eTClEVs1KhReHl5AXDq1CnuGmzN6tat\nG/v27aN///7s3buXoKAgnJ2d9XX79u0zeuddoUIF1qxZQ9++fXFzc2PYsNyhcoyzbds2evbMDgt3\n9epVvLy8GDFiBB4eHjbL7xibFMvOCzsZ6jvU6PnHHzc/xmOPPcaOHTtYv3692ligKBBVKlbhm0e/\n4V7mvRwJ5LVay+LZGdKlSxe2bduGt7e3bYVUGHJC93iAnLEqNVgWNd9m/J74j8wpA0zvkffmVAhB\nnCucqAmc3pDj3JygnLvdE1MTiYqPwrOSJy1rtLSXyIoixpQilsVCoAsysJ1h++/sIZClVHIN407V\nVCpW6OVIMczSo0cPQkJC8PDwoG7duvz8888kJSUxYsQIwsLC8PT0pG3btlSpIvPQWmoRu3fvHg0b\nNtSXe/XqxZ9//klISAgajYaHHnoIIUSeutxoNBoqV67M+vXr6dOnD+7u7rRp0ybHn01WO0NCQ0MZ\nOjRbOYreoUG7AAAgAElEQVSMjGTixIl661mWFbAwJKQk4LPIh7SMNPzr+NOkqvmlXWN8/vnnODs7\nKz8cRaGp4Jwzp9a778KdO/DRR6bTbd2+fZsvv/yS8ePH4+TkpDaP2J8/dI8pQO6dQ08WpSDT6w3D\nv5u8pLHfMI1Gw+I/4V9PqLbqjxznvD29c5QjLkbwyE+PMKDZANYPX283mRXFjx+AXcBSpJk367A3\nwhR936gmmIEI/Wm20fPm+juCqKgoIYQQBw8eFF26dBGpqalCCCGio6MdKVaB8Pf3FxkZGTYZy9hn\nlVUXvDZYMAMxZPUQm1xLUXIojt/h3Ny4IcSQIUIcO2a63c2bN0X37t3F5MmTi0awUgC2sVwdsrDO\nXoh/f/vO9AvNzBQChNBozL4nf0T/IZiBGLBygI3eZYW9wYJ5bIlFLABoZclgCtNUrFiRHTt2cOnS\nJebMmcOsWbMICAgokelMDhw4YL6RDfhvr/+y+vhqQk6EcOjqIfzq+OXb9u5dmdtPobAFWqHFSWN6\n3dHLC375xfxYHh4ebNy4kRs3bthIOoUZ+gH9kRvLFpId2dwdGU+syGhQMa9vrkJhiCXeDceQwVmL\nFfEX7sFBuJ5wy9GiWIy3tzc9evRg+PDhPPjgg8yZM4cnnniC+vXrO1q0Ykv9KvUZ034MAHMj5hpt\nc+wYNGkCukgaeRg9ejS1atXijz/+MN5AochFxL8R+H/hz5HYIwUeQwjBu+++y+XLlwGoXLmy+q4X\nHVeQ/mFpuscDyPyR6wAVNVdRrDCliP2hO6ojHR83GdSts79opql3qRLNDkPluyYcMxSlgvGdx1Pe\nqTy/nvyV2KS8sdDuuw/Wr4d89jiwYMECjh49qg/BoVCYIiU9heDfgjly7Qirjq/KcU6rhUuWZClE\n+v64urrSr18/MjMz7SCpwgRHkFH0WyPda5YDK5CJuq1MQKVQ2BdTS5PzikyKAvAqz3Ph32t08Cre\nzvqKwlO/Sn0+G/AZnRt0prZb7TznK1eGliY2EFWpUkW/GUKhMMfUsKmcTTxL65qtee/B93Kc++AD\n6Zj/ww9gSVrIyZMnM3LkSKMx/BRFwiZkJpesyN+Vgb+QG9DM8TDZSb+/RobDMEYH4B/kJoA1hRHW\nHJ6VPOlUvxMtqhff+JkK6zGliIXbYPwGyN2VNZE+Zl8i1+urAquARsiAe09iZaqjYyn3cZSmBNxy\npqH55ooSznP+pmM3KRS24O9//+bTPZ/irHFm+aPLqVgu2+kwLEzukhQCTOlVX375JTVr1mTw4MEA\n1K1b195iK/KnEtlKGMg4mJUt6OeMjJfZG7gM7EOuBJ000m4usJFsPzS70a1hN/557h97X0ZRxFji\nI3bHyHEJWAvcZ6ZvOvAmMjt9J+AVoCUwBdiMzDcZpitbxf2ey+nKc3hUzP29UChy0rFjR+rWrcvJ\nk2quKPInLSON0b+PRiCY0m0KAXUDcpz39IQGDWDatPz9EQECAgJ4+eWXOXPmjJ0lVlhAMnLDWRbt\ngVQL+j0AnEEaCtKBn4FHjbR7FQgB8k16fCwlxjJJFWUWS3ZNfgpcBH7SlZ8GmiC3AH8DBJroG6s7\nQN6VnETuYhkEPKirX4G0vlmljB1PTuYgcP/Nm6i4w4osMjKgXK5ZHR4eTkJCAjVr1nSMUIoSQUXn\nikztPpWvD31tNPBmQAAcOgTmVrkDAgI4ceKEiltXPHgDGUfsqq5cB3jKgn71kP97WVwCcm9vr4dU\nznohlyeNRha4dC+e1lYIrCh7WKKIDQLaGpS/BA4jU0i8bcW1vAE/YA9QC7imq7+mK1vFuBYt4PBh\nKKPRqbVaLRMmTOCTTz7R182ePZv777+fY8eO8c4771hVl0VMTAyPPPIIkZGRBZZtzJgxjBo1ii5d\nLHHDsA2rVsF//gNDhsD33+c85+LionarKcyi0WgIbhfMqPtH5QlgnIUusUUe9u/fz7Jly1i0aBHl\nypVTSljxYR9yFaY5UlGKxrLwFZaEa1qANCAI5LKk0UnzQ8hWdkdlABAYGKjSWpVywsPDCQ8Pt6qP\nJYpYCvIOIitazhDklmCwPLaYG/ArMnflnVznChS4b6fbDU75QfeUi/hY27mEk5iYyLfffsv27dv1\ndVu2bEEIwaBBgzh06BA7d+7k7t27FtV1797dpvLt2bPHJpH1jSGE4MT1E1QsVzFHzrbKlSEtDRIS\ncrbP2q2mnKUVlpKfEmaKli1bcv78eb7++mvGjBljB6kUhaA5MhZmJcBfV2cuM8xlpI9zFg2QVjFD\nApBLliCjC/RDKnk5ogo8M6QXDz89zXqp8+HevbxZHO7ehdu3Zd5dhWPJrWzPnDnTbB9LFLERyOXJ\nJbrybuAZwAUYZ0H/8kgl7HvgN13dNaA2ctmyDhBnrOOMGTP0z3O/uEnnM9it7cYb+84wv4z5cXt5\neTF+/PgccbF27dqFv7/8jfHz82Pr1q1oNBr8/PzM1uWniJ07d44hQ4bw1VdfUa1aNR5++GE6d+7M\nrl27aN++PcHBwcycOZPr16+zcuVKOnTowMmTJ/Hx8UGj0ZCcnMyTTz7J5cuXyczMZPr06Tz5pPHs\nIsbuIox9/h/v+phJWybxRsc3mP/wfP35atXkY25F7ODBg3Tv3p3+/fuzZo1dNzQpComlc6CouHwZ\nRo2CZcvMG95dXV1Zt26dUvgLQUEsCRYwA+kG4wtsQCpLf2NeEdsPNEOu5FxBGiNyJ+I19JH+liII\n7XTg2C1eeglWrLmCb63sreIHD8L48fCP8uNXGEGDnPDzc9V/iFzaBGna/Z+RvibTBtRp8IKA0aJX\nd+MpQ8z1LwrOnDkj5s+fL3755Rdx/vx5MWrUKJuOHxgYqH/+yiuviLCwMCGEEGFhYWLMmDFm67Zs\n2SLGjBmTY8zz58+L1q1bi6ioKOHn5yeOHj2qry9Xrpw4duyY0Gq1IiAgQIwePVoIIcTvv/8uBg8e\nLIQQYt68eeLbb78VQggREhIiXnjhBf3Yt27dMvo6jH1W+X1+m89uFsxAdPiyQ476zEwh7t4VIj09\nb5+UlBRx6dIlo+Mpii9F8R3WarUmzgnxySdCvPSS8fNJSUmiT58+4ty5c3aSrmyDbbK5HEPubMyK\nzFsL2GJh337IpcwzZLvhvKQ7cvMt8LiR+nzT8OmxIsXR9M/3CKpFiSaPrM5Rv3+/EAMH5my7YIEQ\nvXoJ8dtv1r7zCltCIVMcTUZuyzWWV1IAr5kbHOiKtJ4dJTu/19tIxWs18BzZ4Suson697ly9OJIK\nlZZZ2xWNRoN8fwpWtpS4uDhq1qxJWloa3t7eNGliPmn1iRMn2JxPZNLg4OB8fU+0Wq3+bjwzMxNn\nZ2eL64zJPXjwYNauXUuLFtnxaho3boyvry8Avr6++gCprVu3JiYmBoBNmzaxfPlyANq2bcuECROY\nMmUKAwcOpFu3bmZfvzk61uuIk8aJQ7GHSElPoXJ5uRPdySn/pMsuLi7Uq1ev0NdWlC4ytBn0/q43\nT7R8gpc7vIyzU87vgkYDb74pw1UYw9XVlcGDBzNhwgR+/fXXIpBYUQBSgUwgA/BArr40MNkjm1Dd\nYcgX+bR9Nr9BfF0aWXg5C0lozp2LOTPKBARA7sQh0dGwdSs88YRtL6+wPaYUsRO6R8OkgllOiZZq\nJX+Tf4iMQoU5v6/RWfalfUOVasU3JEHnzp2ZP3++3l8qS4kxRatWrWjVqpXV16pVqxbJyckA3L59\nmxo6ZwFL6wzx9PSkUaNG7Ny5M4ciVtEgkaOTkxMVdJqPk5MTGRkZpKamcvPmTWrXlkFXmzVrxqFD\nh9iwYQPTpk0jKCiI6dPz7kazBveK7rSt1ZbDsYc5ePUg3RqaVu7i4+OpVq1agfx+FKWbhXsWsv3C\nds7fPM9ov9G4VnA12i731BFC6OfTyy+/zIsvvmhvURUFZx/gBXyFXG5MBnYVpQC2zDXp4poBNY/i\nUsOoN4+ihGJKEcvSr5frHl2Rk7hYcF/9CEidyT0aAx9b1Te3dcvasjVcu3aNatWqsX//fjp16mS2\nvSmL2KhRo/DKZ9tWt27d2LdvH/3792fv3r0EBQXh7Oxssm7fvn0EBQXlGatChQqsWbOGvn374ubm\nxrBhuV0jjLNt2zZ69uypL1+9ehUvLy9GjBiBh4cHy5ZZb700RuuarTkce5io+Cizilj//v05c+YM\nR44coUEDS2+EFaWdCzcvMH2bvClY0n+JXglLS4NKlUz3HT16NEFBQTzzzDMAlMsdL0VRXNAgV18S\ngc+REfWrkL1MWeJo88ANeLkrrZsNAEyndnjtNWkNa968aGRTFBxLfkG6INM7uCNNuu2AF4GX7SiX\nWao71abJIWjQxJKYtI6jR48ehISE4OHhQd26dfn5559JSkpixIgRhIWF4enpSdu2bfUpeCyxiCUn\nJ/Pll19y8uRJFixYwAsvvECvXr34888/CQkJQaPR8NBDDyGEsKguNxqNhsqVK7N+/Xr69OmDu7s7\nbdq0yWNVyl0ODQ1l6NCh+nJkZCQTJ07UW89stZPygboPEHMzBo+KHvo6rVY+OuWaDnv37iU2NlbF\nEFPoEUIwLnQcKekpDGk1hIE+8g/t3j3o0QM6d4YPPwQDA3AOJk6cyMiRIxk0aJBKnVX8+RP0YbzO\nO1IQU7zCYv4SfaEpnDiR182iZUs4YqX62KKFPBSlg71AQ7J9vACOF8F1TXvARURIB8cOHYyeNtvf\nAURFRQkhhDh48KDo0qWLSE1NFUIIER0d7UixbIa/v7/IyMiwup+xz8raz2/zZiGcnIQYNMjqyyuK\nKfb6Dv8R/YdgBqLKB1XE5duX9fUTJsiflEaNhEhMzNvP0LHflJO/wjZgG2f9Fcgo+Y5CiNBQk68z\nMz1TSE9Eedy9m7dN+fKyfueFnaLT153EW3+9Zad3XWFrKKSzviH/5ipnWD0dbU0jnQPk2bNy/pYA\nH6CKFSuyY8cOLl26xJw5c5g1axYBAQF07Jg7YHPJ5MCBA+Yb2YnevaVF4+7d7LoTJ05Qt25dFVxT\nkYP6VerTrWE3Hm/xOHXdZR7IzEzp3OzsDD/9JNMZGbJhwwZWrlzJN998Q6VKlZTPYcmhE3LD2AWy\nXWsEOYOUOxSNBv6lAee5j7qnt1O+fN42J05A+fIq12RpxZJfkxBk+InFyBQPryHzdT1tR7lA3g2b\nOsv/3HrwZ4ozn/z+Ie0H5bzpKehOR0XRY+yzssXn9/LLL/P9998TFhbGAw848qZYURDs+R0WQqAV\n2hw7JYWQyz/t2uVtn5qayrPPPsvgwYN5+ml7//QpQO/6UFCNtzFyKbJRPmPEFHBcaxGRv35G68dN\nBPnVauUdgEaT7WOhKDVYMo8tcbAai0zWXQ8ZbdhPV3YsGg2ry3nhDLifLLG+lwo7snTpUuLj4/WB\nbhWKLDQajdFwFcaUMJAhUH766SelhJUcQnSP3yCVrtxHkXHpXnxRXk7Pp59CUBD8/rtDLq+wguJs\nXzdtEQNYuhReeQUGDcoz25RFrORgL4uYomTj6Dmg1Wp5/fXXGTNmjEWhZxS2pZAWscPItHxjgU9y\njSN0dUWBeLDzMagg58+PP0LdujkbDHtaMG9VPepqYm1qEYuKktkhmjcHlWrXcVgyj035iBkGcs2K\nH2ZYtiSgq3157DF+/exV/ld7HT8e2kozv16OlkhRRGw7v43UjFQeavIQ5ZzKcfky1KmTvWvyl19+\nwdfXl5YtWyp/HkW+HDsGrVvnf97X15dhw4axf/9+fdw8RYngaWAwMqq+uyMFiT5bl1hd2K+0tLzn\n9+yFNMzETCkAatdkycHUP9R/yFbAZgLvGrQXyN0o9sS8RQx49NkGrIu4hG/VKhzbnR1t2NF30wrL\nKYhFzON/Hty+e5vEyYm4l/fE3V26WVy9Cm5uMHnyZH766Sd2795N3dy3oIoSgS2/w8fjjlPTtSY1\nXLODa8bHQ5s20L+/zCeZH/lloFDYl0JaxLLojwxh4SjEJ7O+wa+7DLzfsSO4uORssHuXlvu7uuKi\nuWvWIpaYmkhUfBSelTxpWaOlybaK4kFhfcSWI5Wt5cANg+dZ9cWCN4fMpVx9ON61HLMmG8vGpCiN\naHTzWiu0nDkDqang5SWVMIC5c+dy4cIFpYQpABi7YSz1PqnHlnPZaQarV4fz5+ElI5kDr1y5on+u\nlLASjSOVMABaNrtMYCAEBuZVwgA6dQIXjJjKjBBxMYIu33Rh4uaJNpURICMjg8zMTIvLCttRvKOh\nWkDggOFMaf8yfH6S9z55nk9mrXS0SIoiICU9BQDX8q5cvSr/VO+/P2cbtSSpAEhISeDvf/9Go9HQ\nsV7OUDGVKkHuDbWZmZl06tSJvn37kmZsLUlRVngYiAJOI3Mv52YEMkr/USCCfEJi2DzXpJ146623\nWLx4scVlhe2wtyL2DXANiDSoqwpsBk4Bm4BCB3ma+cEimjcJh4xDvDVjCueXfYeXlxcajUYdJeDI\nL21TfqRnppOuTcdZ40wF5woEBkJcHKxaJXNLBgcHEx4eXthppSgl7LiwA4Gga4OuuFc07y7k7OzM\nmTNnmDZtGpXM5TtSlFackSGbHgZaAcOA3GuB54AeSAVsNvClsYFuXW1sPylNYO2uSWdnZ5wMUpOY\nKytshyln/SSyI8K6AHcMzglkzi5zfIt0+v/OoG4KUhH7EHmXMUV3FBgnZycO7x5Eg8ZP8XB6LRo/\nH8yNl1+Gjz6CypULM7SiGJKcLuMyulZw1Vu9NBr5UWdkVMDPz4/ff/+dwMBAB0qpKC5ExUcB4F/H\n8jAmFSpUoHv37vYSSVF0PAlsBG4D0wF/pNJ00Ey/B4AzZIe6+Bl4FDhp0MYwsuoewOjeRA9Xx8Q/\nj46GrVtlvklL+OSTT8yWExISWLx4MVWrVmX48OG2ErXMY0q9dUPuNnFHKmzuBoelCdZ2IhOuGjKI\nbB+zFcidLYWmUuVKXI/9je/feRrKl0csXcpTNWoQs2iRjNSoKDVkajN5rMVjBHoH5jlXpUoV3njj\nDebPn1/0gimKJXHJcstaHbc6+rorV+DwYbh2zXgfIQRaFVyzNDAdqYR1A4KAZYAlSW/rARcNypd0\ndfnxHPn4ozWoUfyXtzds2MAvv/xCcnKyyXb37t0jKiqKc+fOFZFkZQNH2BlrIZcr0T3WstnIGg1M\nmAB79vBHo0acSUmh3GtzGFBtO78sm8i9tFSbXUrhOKpVrsaap9bw+9M5be7p6ekOkkhRnKlSsQrt\n67bHp5qPvu7LL8HPDxYsyNt+9uzZVK5cmaVLlxahlAo7keVdPhD4ClgPWBKHxJq7957AaIz7kTFu\n6VLGjBnDjBkzCA8PJzo6miMGGbyjo6OxNCS5ZyVPOtXvRIvqLYiOjmbKlOzFpNzltm03MGjQKwwa\nJMuRkZE5zhuW169fz+rVq0lJSTF5/Tp16rB48WKmTZtmocRlj/DwcGbMmKE/LMHSXJP2wmRCTMMX\nERgYaPlSk58fA06dov3Chcx914Mkl/08+efHuM+bx9znnmL4yLl41GxYOMkVNiU8PDyPX5cln//O\nnXKnZLt28MYbbxAVFcWCBQto06aNfQVW2JyCzgFzzOw5k5k9Z+aoy4od9o+RtH1jx47lzTffxC1r\nC66iSDD2+duAy0jfrT7A/4BKWGaAuAw0MCg3QFrFctMWqeA9TN7VHwAa16rFFVdX/VyeN28eV65c\nYd68eQCs37CBK8A8C4QyzDX5zz//sH37dv25Gzdu5Cj7+Ljw9dd7dGLX58aNG/xjMOENy599ZomR\nUGEJuX+nZs6cmX/jIsSbnM76UUBt3fM6urIxbJL5POlaklg680Xhch+C4QhmIFymInwf6CNmv/q5\nyEzPtMl1FLbF0s//00+FaNZMiA0bhLh7965YuXKluHDhgp2lUxQFtvoNMMbNm0LUry/Ea68Jkal+\nAoolWGeVyg9X4AmgmcF/zkMW9CsHnEX+f1VARurP7azfEOlH1snEOGLRlLFi+fLl+te1bt26nOXf\nfhPLQQiNxux7EhERIXr06CEmT54s4uPjxbZt2/TnjJV/++03kamb4PHx8SIiIiLHecOyJcTHx4tF\nixaJlStXWtWvLIMF87go9vd7A38AWSaKD4EEYC7SSd8T4876utdgG9JSklj7/dt8dfIHtnnchP82\nBG0IDZzrsnHYd5Tr14gmQ4bgrKJnFws0Gg3i1i2oYpk7ohByZVpRerA4oOumTbBiBQweDEOHWjy+\nVpudicEYV69eZezYscyZM4dWrVpZPK7CNtgooGsTpHUrDbmE2Bbpm3zTgr79gAXIHZTLgA+ArKhz\nXwBfA48B/+rq0pFO/oaIaeOnM3verPyvYkXS74SEBI4dO0bVqlUdYvW/evUq77//PrVr11bLkxZi\nyTy291/XT8CDQHWkP9i7wO/AauTdRAxyV4uxL4VNFTFDjvy9haf/s4Lk83NI1Hpykeo05h5R1atT\na8gQdvZuRqtuo6hWq7pdrq8wj0ajQXzwAUwxv6H23r177Nmzh27duqnYYaUIixWxhQvh9dchOBiW\nL7fZ9adNm8a9e/eYO3eumlcOwEaK2BEgAGkQ+BP5/+OLjLhfFIgJYxfy0dJX822gzcigW/nyaIAI\ntbGs1FEcFLHCYDdFLAtthpZza4+QHrqIOatX831yMqeqQfPHasMyZ/q9eo/+9R+kb68XaebfW5lc\nihCNRoOoXh1iYsDVNce55YeXU8etDj0b96SCcwVOnz7NI488Qrt27fj5558dI7DC5lisiB06BP7+\nUK8e/PuvaTMXcObGGZpWbZqnPrdVNevaWUrY/v37uf/++ylfvrzlL0JRYGykiB0C/IBJQCoynFJW\nXVEgZk9eybT/5R/qQWRm8k856a7dxYb/eZ9+CuvWwWuvwaOP2mxYhZUUNsVRqcepnBNNh/rR8ptv\n+P7OHTh4kNixI6l+oClUaUho1eu8mhKCz5KHqONdnkvBU/n9nT0knrfEqq0oNPHxsDJnpoR7mfd4\nbt1z9FvZD62QZvxmzZpx4sSJPHFvFGWE++8Hb2+4fBl27DDZ9L1t79F8cXO+OvBVjvr0dLmquXlz\ndl1WwGGAiIgIHnnkEW7eVN/9EsY9YDgwCrljEqBINelGDeJNntdoNHQBulhwo79x20b8Ovnxwmsv\nmG3bty+88w4EBFgqqXmy4oj9+OOPthtUUbYVsRxoNODnR4/Z33H94E7O7lzAt9We46nbDal0Ghpr\nMgn5LpnBH3Sk6n1r6ejaH8aPJ+7X77hxRcVUsRtLluSIA3f2xlm0QkvtxMd4b2oljh6V9U5OTiqv\nZFnFyQmygkuuNJ3irI57HbRCy5gNY/j1xK/6+s2b4fZt6NnTeL979+6xaNEiatSQScOvXr1KYqLR\nTXKK4sVooDPwPnAeuA/4oSgFSE45bbaNAFYb/M5duXKFqVOn5infqHyDwy0PE1032uyYLVrIyPr1\njYaZLRgqjljZw1GbHPJwNzVFXN20Qax8PER0r3JYaBgphtFdCBCTeiN4EFG3R3kxZPhz4pNZC0X8\npTOOFrnEAwhRs6YQIMTff+vrVx9bLZiBaNBrgwAh/P1fFmvWrNHvDFKUHqz6DTh+XM4VDw8hUlNN\nNp0ZPlMwA1FhdgWx5ewWfX1GhmWX0mq1on///uLjjz+2XD6F1WCbXZOORuz+ar7J16nNyBADQAwy\nmO8nTpwQLVq0yFP+I/oPwQzEgJUD7Pa+K2wLFsxjZRGzgAqVXKjdpz/Df32CHbfuJ+7CJywIeRum\nT+eOdx00F+BKw3RCDjzC+KN/U31AU97yqwEvvww//MClXZFoM1WUbqt59ln5aGAGP3D1AGQ6k3Cw\nByAYMSKIpUuXmo0IrSjltGolg8ndugV/Gg1wrmd6j+m8+sCr3Mu8x+BVg9l3eR8gN67lJi4ub11S\nUhK1atXi1VezHbCvX79eKPEVdsMHCAFOIC1i55E5IouMjvVbmDyv0Wj4H3LtNIs6derw3//+N9+y\nQlFUOFqRtZiE2Eti0+oPRe8+S0Sn55sKvBB/eCLv0EG400Z4aX4Vj9f9RyydOFGs/vq/4k5ivKPF\nLtYAQhw4IN/DWrX05ore3/UWTHcW7yzdJd56Swit1sGCKuyG1b8BH30k58sTT5htmqnNFMN/HS7q\nzqsrjl07ZrTN5s1CuLgI8eWXpsfavn27aNq0qciw1KSmsAhsYxGLAHoDR4FGwAxkrsmiQojQUNMv\nNDNTzlsL4og52iKm4ohZDxbMY0dH1i8VVK1Vjz5DJ9JnKMDL3PjvZTyjzsDu3dzbuYuUDQfJFA+x\n5oob4UmDuPHmdSocnEaH8u50dWvJ9XPdmfveGGo0z7uTq0zj5yedsGNi5M649u15rMVjVHWpypB2\nlWj7YiYajREzhqJs8vTTMHEibNgAd+6Au3u+TZ00Tix/dDlxyXHUq2I8heD27ZCaCi++KA1tEyYY\nH2vr1q3MnTsXZ51JLSMjg3Ll1E9rMcEF2ILctXYBqYgdROagLBLWRsTx2MNFdbVs7LFrMstHrHbt\n2uYbK0oFjlZkbUZmRqaI3nhOLH9psxg5rqmoXE8jeE9G+WdiJQGVxSWnikI0aya0o0aJZaNGicyD\nB0VGWrqjRXcY+s//P/+Rd4sLFuQ4P27cOOHr6yuOHz/uAOkURUGBfgO6dpXzZfVqm8iwfLnM3HDx\nomXtMzMzRWBgoNi+fbtNrl+WwTYWsV3IgKxrgXHA44B5T3fbIXbPX2X6hVphEdt5Yafo9HUn8dZf\nb5ltO3asHHbJEkvfcYU9QFnEigdOzk749G2MT9/GBHOa7xbBjavn2L3te37e9A/rPdOpd283nD7N\nmdOnmQH0+24TTTlNuToRVCm3mAUzmtOxy5PU82mPxkycpFJFx44ySOfhwzmqFy5cyJ9//kmDBg2M\n91OUTfr0gYgI2L3bqij7+REcDMOGgaUJNyIiInB2dqZLly6FvrbCJrwBVAZeQy5JVgGCi1KAji0s\ny8EOaNYAABdNSURBVA5iCYa5JhWlh+IcoVSnTJYR0tPh6FFOrlnDX6GhtLh6P/1ivwW2QMW34G0Z\np6HGvxrq7HNn66MzOVWzG52DfSxOA1SS0Afz3LgR+vWDoCDS1m/h5Em5Yqko/Vgc0NWQn3+WmtPQ\nobB6tX0EM0N6eroK+moDbBTQ1dGIyF8/o/XjY/JvYUWKI2uIipKh9Zo3t10Ii4SEBH766SeqVq3K\n8OH5B6lVZGPJPFYWseJC+fIQEEDLgABavv8+AGeOnGfBwiMcO9eUComX2etyg+vXBW43b7P5v7tZ\nTUOef60Daz09+eqxx7javgXRDerR/sFHcavi5uAXZCPcdK8jLY2LF+HBByfRpUtLQkP/o9LOKPKS\nkCAfXVys6nYs7hiHYw/jW8MXvzp5Nf34eKhWzbLkGuXKleO7776je/fuNG7c2Co5FDanA/AOMsVR\n1v+dQOacLBL+Pnuc1kV1MQNatJCHLVE+YvbBkWtcDwNRwGlgclFdNDw8vKguVWguJl5g0bK32Lbt\nV/5aEE/C++lsH/M9S16aQIWHg3is8WH+cXKi1s2b8O23/PTDZHpO+QJ3r9fxqBfBwMHT+PyjFzi6\nc2OOoKj2wG7v640bAMR5lqdZMwgL+w+XLi3l/PnzVg1jS/mK61i2Hq84y2aUGzekhzLAgw9a1CUt\nI41JX02i54qejFw7klXHVxltN3UqLFiQ/zgpKSlER0vXI41Gw507d+jatas+rEpR/e6UtuvYgJXA\nt8ATwCO6Y5CFfS35j1qoO3+EfNImuVauZIW4lmGP99+SMevUqcPixYutSvjtKFmLw5iW4ihFzBlY\njJzorYBhQMuiuHAJ+gHJI6uTkzM9+j9Dv6kf8XjoC4w8N4upCQlM2LQJFiygfLsAKsQ7gbYLt690\nZcPdO4xd+zVvjewHdevCo4+y7PHp/DnnJxlG3I6y2ozt21lxP9S/fwfvhL1Dhw6tiIzcy3333ecw\n+YrrWLYerzjLloP0dPjpJ5lv8vRpaN06O9J+PhyPO86otaOoM68OH638iPjkeHrWeoKHKswgNDRv\n+3HjYPNmoV85io+P56uvstMkHTlyhGHDhunLL730Ejt27MBVlye1tClIJeh39DqwDhk7LMbgMIcl\n/1H9gaZAM+BF4DNjAyWn2H43vDXv/5dfyl2/xuo//lget25ZPmZGRgYxMTH68vXr102WS4rSVBYV\nsQeAM8gvRDrwM2B2g23uN8pUOet57seCYK6vsfOWyJbfc2tkreTpiWefPvD667y6dD9/rZrB8YPd\neW/iSl5rfhXve5V4VOMCsbGEr1vHe2s3s37qIvD0ZPbQmvQYUJuRTz3A5jVrSUtJs6usuTHXV5w8\nyUfhaxndAtK/19LIrRGAWpIs6yQnw4ED8p8kOBhq14bhw9H+e4FbndpxftXn7Lp+kFVHf+XHyJw5\n8ZKS4Lvv4G7GXb7f+T03025S270277dZzbaxQwl6sBKvvCItXOPHj9f3q1UrjsOH6+nziWu1WiZN\nmqT3YfP398fd3Z3MzExALk82barC0RQDZgLLkIrUE7rjcQv6WfIfNQhYoXu+B/AEauUeKD4h/zAq\n1pKYmsiWc1s4HHuYPZf26I/o+Pw3gn7wgX5hIU/9xInyyH1+0SLj2cLmzk2kSZPPeeqpEH3dunXr\nmD17NunpMtVrVtnwvGFuyueff95kedSoUVy4cCHfcnBwMKdOnQLk93DcuHH6c7nLCQkJ/PDDDxaX\nr127xt69ey0u2wpH+YjVAy4alC8BHc11Cg8PJzAw0KJy1vPcjwXBXF9j5y2RzZzMBZV1xowZzPDz\nAUbwKchlyTNnCJ88GZ+9lRnhHgtny/Fr9escWQc7a17jh7c84SktFSqNJLDucQI3/wYNG9pdVlN9\nK3aJIv3OSejSiube5WlHuwJdR1FyadIqBKFJxy/wNfb8dZOuHTWs+jGdFCpwH+2IRf4oXmnXlHq3\nzkDgWQhoCXcrAs9T88MEhrcZzr179/D09OTKlRRefRVir7Wk3OJyHLl8hNVLVvNK7/+3d+bRVlX3\nHf8gw2OUMghKQI+hxYEoJUjAoGBqFIkpJo21cahREzUmtWRhNGKbpX/EREMdasXaGLRajSMGwSmJ\nhsKLAUOqTxmEQBYCKqAIGgfC+PrH9xzOeeed8+6Z7n333vf7rHXWvffcfX57nz3v3/7tvafyL/Rh\n1KizGD26Ewcc0JXbbruNmTNn0rlzZwYMGMDWrVv37xF20EEHcfnll7Nnzx66du1KQ0MDCxcubN/I\nMqL4GnAEauuClvCPl3guSRsV5WYosCXoaMs7QSdt0NysTevaYHHDBk4f+AtYBU/MfmL//ak7DuOJ\nbae2cr+8yzYGDpvAtTc/Qvce/oH1N70/josHnsG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dUhs4ZFR/B7ll165M/jiGQ8HVWPF7DM/UzVuKL0v+v9byD+7UqRNz587lm2++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\nsXTtYd4DXJH4fTrwpdQ9m5FRpa+Jeb3cA2HwNb7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"text": [
"0x7ff8b5284d90>"
0x7f7c33572710>"
]
}
],
"prompt_number":
17 12
},
{
"cell_type": "code",
...
{
"metadata": {},
"output_type": "display_data",
"png":
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RyCM4IyNDtGlzWxw7JrezsrIU/X7z5gnRrJkQ69ZZfApUbAB2cAj4LzKu2a/A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\nRozemUmMB+63vo8EHg8oqxnwM+t7XWQI46wk5AHUtj6rIf4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AMeQzLAJ4Ms++i8iQHUeQGQosItvmzNpxzmbPlk4Cv/xi1W5VionieHRNAqKQbs8gA/pt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\nktylGzZAQgLoMY2wVvomR8bcFwm7cSvlltgSu0X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"text": [
"0x7ff8b4602410>"
0x7f7c32cf60d0>"
]
}
],
"prompt_number":
18 13
},
{
"cell_type": "code",
...
{
"metadata": {},
"output_type": "display_data",
"png":
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PP8lsTYn14xp5laDYPri8uEiRWq/Arl0iFblgUQx4jpBQSosu56wsQlVAwy2g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\n96naem/n+M3v9a+7p/vXv+5+Abi2QtkhQ4FlKOC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4TFYp+4+uTXNs3jxxiQwbZhQzJbmM/G6ahxU/3VWwi1Xo/o7SZKSj8vTiabPYgf6lLkog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\nvvf296naem/n+M3v9a+7p/vXv+5+FniyoOwq7O9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"text": [
"0x7ff8b45ada90>"
0x7f7c32be6850>"
]
}
],
"prompt_number":
19 14
},
{
"cell_type": "heading",
...
"text": [
"\n",
"Run with full_output = 1 to get quantitative information.\n",
"6.5763e-11" "6.31152e-11"
]
},
{
...
{
"metadata": {},
"output_type": "display_data",
"png":
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QOSl1vUwBKAle3KJd9PlJ7/1M7aK0bgaa1rJeDKVPtSes4k2e1apHyJWM32dZ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\nAmTUIlzslBZNGuAftUlFRji2AWODwp1N+h/NkA/yHaTndHk5Yc0Gqjm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244rM7bID+SOZrV1UFNCvXz9iY2M5fvx4dp4KyDzOzjBqlLSI/fADmnbtOHPG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\nsyfPpkfLkO/cSZMmkZKSwo6fd7B823L6j+pP7dTa3HDTDTz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"text": [
"0x7ff8b4bd4690>"
0x7f7c337b2b50>"
]
}
],
"prompt_number":
20 15
},
{
"cell_type": "code",
...
"output_type": "display_data",
"png": 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7M1G42lM6O/mMRvmwOstfqCwF22zXVUPNTbW04U7EahXdqxobnZNXThJUKafF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\nhmEYhmEYhmEYhmF0J/8BJmUnPg7eP3YAAAAASUVORK5CYII=\n",
"text": [
"0x7ff8b542b110>"
0x7f7c33c88890>"
]
}
],
"prompt_number":
21 16
},
{
"cell_type": "code",
...
]
}
],
"prompt_number":
22 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print mdot_fiducial"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"6e+17\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
...
{
"metadata": {},
"output_type": "display_data",
"png":
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kWhF7BvgPGkf/DjgNBeDrCXwFHOrsFx8NGsB552no4a234PjjFT5h7Fhtb7EF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\nqSnrm0QDJV4DLCK+4+hgZMX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DSS9Ct2GULo4D118PRx2l/8iJJ8Ls2eWqhEGwxN3ziaRLWoDS9fkprH7MKEoSKWLPoZhh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\n5e5nk2dQ5O1c1dMA/Q575qC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"text": [
"0x7ff8b53c32d0>"
0x7f7c33bb4650>"
]
}
],
"prompt_number":
106 19
},
{
"cell_type": "code",
...
"input": [
"ind = ode.z > 5\n",
"histo = plt.hist(ode.v_shock[ind]/1e5, bins=[250,350,450,550,650, 750,850],weights=ode.massflux[ind])\n",
"print
ode.L_X[ind].sum()" ode.L_X[ind].sum()\n",
"print histo"
],
"language": "python",
"metadata": {},
...
"output_type": "stream",
"stream": "stdout",
"text": [
"1.49627749635e+29\n" "1.49627749635e+29\n",
"(array([ 3.71589063e+15, 1.27502784e+15, 3.64436700e+13,\n",
" 0.00000000e+00, 0.00000000e+00, 0.00000000e+00]), array([250, 350, 450, 550, 650, 750, 850]), )\n"
]
},
{
...
"output_type": "display_data",
"png": 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"text": [
"0x7ff8b3368f10>" 0x7f7c3248af90>"
]
}
],
"prompt_number": 107 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import astropy.units as u\n",
"import astropy.constants as c\n",
"\n",
"def model_mass_flux(v, n, d):\n",
" return c.m_p * n * v * 1e20*u.cm**2 * (d/10/u.pc)**2\n",
...
"n = 1e10/u.cm**3\n",
"\n",
"for i in range(len(histo)):\n",
" print histo[1][i]+50, (histo[0][i]*u.g/u.s / model_mass_flux((histo[1][i]+50)*u.km/u.s, n, distance)).decompose()"
],
"language": "python",
"metadata": {},
...
"output_type": "stream",
"stream": "stdout",
"text": [
"0.438184706883\n",
"0.112765234197\n",
"0.00257850305119\n" "300 0.438184706883\n",
"400 0.112765234197\n",
"500 0.00257850305119\n"
]
}
],
"prompt_number": 108 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"(histo[1][i]+50)*u.km/u.s, model_mass_flux((histo[1][i]+50)*u.km/u.s, n, distance).cgs"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 22,
"text": [
"(, )"
]
}
],
"prompt_number": 22
},
{
"cell_type": "heading",
...
"output_type": "pyout",
"prompt_number": 26,
"text": [
"0x7ff8b2d44250>" 0x7f7c31263110>"
]
},
{
...
"output_type": "display_data",
"png": 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Y8BRUbZRrW76CWZfATb3hH+fDzrUBfz97Cf52Bjz5Y9i0PNhPRUlzIvXa+gVw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\nsr2zoEKiKIrSTuIhJNFM+dk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"text": [
"0x7ff8b239d5d0>" 0x7f7c30cfaa90>"
]
}
],
...
"output_type": "pyout",
"prompt_number": 27,
"text": [
"0x7ff8b22f4350>" 0x7f7c3103e410>"
]
},
{
...
"output_type": "display_data",
"png": 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"text": [
"0x7ff8b2359550>" 0x7f7c324dd390>"
]
}
],