Extragalactic medium.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impact of the parameters: Extragalactic medium\n",
"\n",
"Analytic expressions and simple case.ipynb has shown that time delay and halo\n",
"extension of the cascades are related together but also with external \n",
"parameters such as extra galactic magnetic field or source jet opening angle. \n",
"In a realistic case source photons are not distinguishable from cascade \n",
"photons. Moreover as shown in Target_spectrum_and_absorption.ipynb for sources \n",
"further than $z=0.1$, TeV band is fully absorbed. Considering the two previous \n",
"considerations, in this part is studied the dependency of the mean arrival \n",
"angle and the mean time delay in the GeV band versus the different\n",
"parameters. \n",
"\n",
"Here is studied a more realistic case:\n",
"* z=0.1\n",
"* source spectrum is generated assuming a powerlaw spectrum (between Emin=1MeV and Emax=100TeV)\n",
"* EGMF (turbulent magnetic field): 1E-15 Gauss, L_B= 1 Mpc\n",
"* EBL model: Dominguez\n",
"\n",
"This part aims to draw characteristic quantities (average arrival angle and time delay) versus EGMF and redshift\n",
"\n",
"Because for redshift upper than 1 there is no TeV photons, we will use the GeV band\n",
"\n",
"#### Cas mono-รฉnergรฉtique\n",
"\n",
"* plus simple ร comprendre et interprรฉter\n",
"* z=0.1\n",
"\n",
"### EBL model "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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+M5fHZ5b3NdmK+IS9aWxxfdeqWcP9guJOAqAqmJncPbRJi2QUAAAosWRtbeC2zQcU1/cq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\neeTIEcA5yDmvup06dSrX7flRv379PNOzD1Au6PXq3Lkz69a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Nm0a9evXc8h84cIATJ07Q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\n1fYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe27d40ffd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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r2B8E/ALYAFwO3Ao8AUymMJE6v9g06+43pdLTFqc69rULyZ0H6D3vPAYCV5ZN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\ncrRPS5YscfR8UrhPPvmEmjVrsmjRIiIi/vuWdebMGTZs2EB0dHSefQr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iAAAO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\nkTCgxF5EREREJAz8Pxx2BnJ38FPuAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe27d40fb90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Jch4Gd18DfBn48rirDkdT6QZ0rpldCXzF3W9v9lgJ1b6zu65O1mfN7GbgYCrz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"text/plain": [
"<matplotlib.figure.Figure at 0x7fe27c0cb950>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"simus = [\"Dominguez\",\"Finke\",\"Franceschini\",\"Gilmore\",\"Kneiske 'best fit'\",\"Kneiske 'lower limit'\"]\n",
"colors = ['k','b','r','g','c','m','y']\n",
"src.distribution.drawSpectrum(simus,colors=colors,yrange=[1e-4,2e-1],Erange=[1e0,1e3],save='Spectrum_vs_EBL.eps')\n",
"src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2],save='dNdtheta_vs_EBL.eps')\n",
"src.distribution.drawTiming(simus,colors=colors,yrange=[1e-5,2e-2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On the other hand the extragalactic light (EBL) can affect the absorption of the gamma-rays. Figure \n",
"shows the spectrum Acomputed for a source emitting isotropically with a spectral index of 2 at a \n",
"redshift z=2 using 6 different EBL models \\citep{franceschini_extragalactic_2008,\n",
"dominguez_extragalactic_2010, finke_modeling_2010, kneiske_lower-limit_2010,\n",
"gilmore_semi-analytic_2011}. Differences only appear at energy up-to 1TeV and are due to the \n",
"probability of gamma-rays absorption. Then the model chosen will impact the cut-off energy\n",
"with respect to the results shown in Target_spectrum_and_absorption.ipynb.\n",
"\n",
"\n",
"### EGMF"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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LFy7EZZddhltvvdXy+sciKysLo0ePRnZ2dlT7nTp1Co8//jiGDBmC7t27o0eP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\nRAEAAADAOiQKAAAAANb5/xx0H8WQ7ttYAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe29c13bf90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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plyS5+42SvtldD8hcVfKCZUG9w6PmYVHvsKh3WNQ7vFHVPG3H/mlJ9wxY597u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"text/plain": [
"<matplotlib.figure.Figure at 0x7fe29c108bd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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mPq1Wi1arxczMzMQfu+w6DP8K/D7w39z9c5WnCqjKHgb1JDSQehhG1rRaVZGi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\nNOUPls/5fc4Omc2fzm/6s1lubi4Q+Qb98OHDtG3bts7yuXPnMnfuXCD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"text/plain": [
"<matplotlib.figure.Figure at 0x7fe27c264050>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"simus = [\"EGMF=1e-13G\",\"EGMF=1e-15G\",\"EGMF=1e-17G\",\"EGMF=1e-20G\"]\n",
"colors = ['b','k','g','r','c','m','y']\n",
"src.distribution.drawSpectrum(simus,plot=\"1month\",colors=colors,yrange=[1e-3,2e-1])\n",
"src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2])\n",
"src.distribution.drawTiming(simus,colors=colors,yrange=[1e-7,2e-2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The spectrum generated by the cascade depends also on the extragalactic medium. The extragalactic \n",
"magnetic field (either amplitude or coherence length) has no impact on the spectrum integrated over\n",
"the full-sky and with an infinite integration time. If a limited aperture is applied, then part of \n",
"the photons too much deflected are not taken into account. This deflection is directly\n",
"related to the EGMF. For the same reason, applying a finite exposure time, corresponding to a finite \n",
"time of activity of the source, will alter the spectrum shape depending on the EGMF strength. This has been shown in \n",
"\\cite{taylor_extragalactic_2011}. Figure shows the\n",
"spectrum integrated over the full sky and a time range of 10 years. Impact of the EGMF can\n",
"be seen on the 10 GeV - 10 TeV region of the spectrum. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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bX1paGnX27SMsOrpQvzvQLzubftHRzMnIIG38eNw3bIDTp82DvLz03gnDh8PA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NpU7eFJVzsZniSuRCUl8OabMH26ThaCgnTtwq23ln9OQlYC434Yx/cHvgcgPCCcJQOW0Nm38wXH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R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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb3c3c1a50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp, savefig\n",
"from matplotlib import gridspec\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from numpy import log10, loadtxt\n",
"from src.analytic import Ee, Delta, pi\n",
"\n",
"import matplotlib as mpl\n",
"label_size = 20\n",
"mpl.rcParams['xtick.labelsize'] = label_size \n",
"mpl.rcParams['ytick.labelsize'] = label_size \n",
"\n",
"#fig = figure(figsize=(12,9))\n",
"#ax = fig.add_subplot(111,projection='3d') \n",
"\n",
"fig1 = figure(figsize=(12,12))\n",
"gs1 = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"fig1.subplots_adjust(hspace=0.001)\n",
"ax11 = fig1.add_subplot(gs1[0])\n",
"ax12 = fig1.add_subplot(gs1[1],sharex=ax11)\n",
"\n",
"#fig2 = figure(figsize=(12,12))\n",
"#gs2 = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"#fig2.subplots_adjust(hspace=0.001)\n",
"#ax21 = fig2.add_subplot(gs2[0])\n",
"#ax22 = fig2.add_subplot(gs2[1],sharex=ax11)\n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_EGMF.dat\")\n",
"dt_mean = loadtxt(\"Results/delay_mean_vs_EGMF.dat\")\n",
"#theta_mean1 = loadtxt(\"Results/theta_mean_vs_EGMF-gen=1.dat\")\n",
"#dt_mean1 = loadtxt(\"Results/delay_mean_vs_EGMF-gen=1.dat\")\n",
"#theta_mean2 = loadtxt(\"Results/theta_mean_vs_EGMF-gen=2.dat\")\n",
"#dt_mean2 = loadtxt(\"Results/delay_mean_vs_EGMF-gen=2.dat\")\n",
"\n",
"Redshifts = theta_mean[1:,0]\n",
"B = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"marks = ['D','*','o','^','v']\n",
"for z in Redshifts:\n",
" #p=ax.plot(log10(theta_mean[i,1:]),log10(dt_mean[i,1:]),log10(B),\":*\",label=\"z=%1.2f\"%z)\n",
" \n",
" p=ax11.plot(B,theta_mean[i,1:],'-',marker=marks[i-1],markersize=10,linewidth=2)\n",
" ax12.plot(B,dt_mean[i,1:],'-',marker=marks[i-1],markersize=10,color=p[0].get_color(),linewidth=2,label=\"z=%1.2f\"%z)\n",
" \n",
" #ax21.plot(B,Delta(Ee(1000,float(z)),B,1,float(z)),linestyle='-',color=p[0].get_color()) \n",
" #ax21.plot(B,theta_mean1[i,1:],'--*',color=p[0].get_color())\n",
" #ax21.plot(B,theta_mean2[i,1:],':.',color=p[0].get_color())\n",
" #ax22.plot(B,dt_mean1[i,1:] ,'--*',color=p[0].get_color(),label=\"z=%1.2f\"%z)\n",
" #ax22.plot(B,dt_mean2[i,1:] ,':.',color=p[0].get_color())\n",
" \n",
" i+=1\n",
"\n",
"#ax11.axhline(y=0.5,color=\"k\",linestyle=\"--\",linewidth=2)\n",
"#ax12.axhline(y=5,color=\"k\",linestyle=\"--\",linewidth=2)\n",
" \n",
"#ax.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"#ax.set_xlabel(\"$\\\\theta$ [deg]\",fontsize=\"xx-large\")\n",
"#ax.set_ylabel(\"Time delay [yrs]\",fontsize=\"xx-large\")\n",
"#ax.set_zlabel(\" log B [Gauss]\",fontsize=\"xx-large\")\n",
"\n",
"ax11.set_xscale('log') \n",
"ax11.set_yscale('log')\n",
"ax11.set_ylim([5e-7,20])\n",
"ax11.grid(b=True,which='major')\n",
"#ax11.legend(loc=\"best\")\n",
"ax11.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"ax11.set_ylabel(\"$\\\\theta_{avg}$ [deg.]\",fontsize=\"xx-large\")\n",
"xticklabels = ax11.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax12.set_xscale('log') \n",
"ax12.set_yscale('log')\n",
"ax12.set_ylim([5e-6,5e9])\n",
"ax12.grid(b=True,which='major')\n",
"ax12.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"ax12.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"ax12.set_ylabel(\"$\\\\Delta t_{avg}$ [yrs]\",fontsize=\"xx-large\")\n",
"\n",
"#ax21.set_xscale('log') \n",
"#ax21.set_yscale('log')\n",
"#ax21.set_ylim([0.8e-4,20])\n",
"#ax21.grid(b=True,which='major')\n",
"#ax21.legend(loc=\"best\")\n",
"#ax21.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"#ax21.set_ylabel(\"average arrival angle [degre]\",fontsize=\"xx-large\")\n",
"#xticklabels = ax21.get_xticklabels()\n",
"#setp(xticklabels, visible=False)\n",
"\n",
"#ax22.set_xscale('log') \n",
"#ax22.set_yscale('log')\n",
"#ax22.set_ylim([1,0.8e9])\n",
"#ax22.grid(b=True,which='major')\n",
"#ax22.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"#ax22.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"#ax22.set_ylabel(\"average time delay [yrs]\",fontsize=\"xx-large\")\n",
"\n",
"savefig(\"Figures_saved/mean_Dt_theta_vs_EGMF.eps\",bbox_inches='tight') \n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Figures show, respectively, the mean arrival angle and the mean time delay in \n",
"the GeV band versus extragalactic magnetic field amplitude for a source at \n",
"different redshifts. For magnetic field stronger than $10^{-14}$G, whatever is \n",
"the redshift, mean time delay and arrival angle is constant because leptons are \n",
"trapped in a region closed to there production site. Thus all the photons seems \n",
"arriving under the same angle and the time delay is isotropized. This \n",
"isotropization appends because Larmor radius is really smaller than the \n",
"coherence length of the magnetic field (EGMF).\n",
"\n",
"\n",
"For soft magnetic field ($B \\ll 10^{-12}$G), both, time delay and halo show a \n",
"dependency on the magnetic field amplitude as predicted by equations \n",
"$$\n",
"\\theta = \\arcsin \\left( \\frac{\\lambda_{\\gamma \\gamma}}{D_s} \\sin\\delta \\right)\n",
"$$\n",
"and \n",
"$$\n",
"c \\Delta t = \\lambda_{\\gamma\\gamma} (1- \\cos \\delta) - D_s (1- \\cos \\theta)\n",
"$$ \n",
"The stronger the magnetic field, the \n",
"more deflected the leptons and thus the arrival angle. Mean size \n",
"of the halo and time delay is also affected by the redshift of the source. The \n",
"further the source, the lower the halo extension and the time delay between \n",
"photons. Indeed the size of the halo is corresponding to a virtual source of \n",
"size $\\lambda_{\\gamma\\gamma}$. The further this virtual source, the smaller the \n",
"observed angular size. Moreover previous equation shows that \n",
"time delay is directly related to the arrival angle. This equation point out \n",
"that if distance to the source (i.e. redshift) grows then time delay will be \n",
"reduced as highlighted in time delay panel. \n",
"\n",
"Finally, it appears that measure amplitude of the extragalactic magnetic field \n",
"through halos requires to select the sources. If the EMGF is too weak \n",
"($<10^{-16}$G), halo effect can be observed only on close sources. Far sources \n",
"will appear as point sources. On the other hand, intermediate magnetic field \n",
"amplitude ($10^{-16} \\textrm{G}<\\textrm{B}<10^{-14}$G) can study on further \n",
"sources. At the opposite, time delay study requires weak magnetic field\n",
"and far sources (z$>0.5$), otherwise average time delay is upper than ten years."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impact of the coherence length $\\lambda_B$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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+iTo1rqOgUyaTiVOZuSEuLg6DBw/G1q1bta6KIqtXr0ZDQwOmT59u27ZgwQIc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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fae580586d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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MTgPOAH4I/JO73zLpuhcAnwUOBT7q7p/KaKyFpoy9dNTt3WSSa3ao8fI/xXln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\ngA8A7wI+B9wIvBr4OPBrM2ua2f6pRis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JJ544cdnSpUvZY489OOyww1LdPq/9Jnvsscdw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\noHOKsxRv50XCOPYNstZWAAd9k4hI+HLrxnWHx6Dr0aMH4C3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ZGbfffrv/htzk5OQW91VE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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fae58058210>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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gM7ARuNnMru/er1WkRaQWQhsLMaZJFRERqZugBoOZ3R/4JvAeshmRfglc0f26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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fae574907d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"simus = [\"lambda_B=0.00001Mpc\",\"lambda_B=0.001Mpc\",\"lambda_B=0.01Mpc\",\"lambda_B=1Mpc\",\"lambda_B=100Mpc\"]\n",
"colors = ['b','r','g','k','c','m','y']\n",
"src.distribution.drawSpectrum(simus,plot=\"1month\",colors=colors,yrange=[1e-5,1e-1])\n",
"src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2])\n",
"src.distribution.drawTiming(simus,colors=colors,yrange=[1e-7,2e-2])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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FHHXUUVxzzTVMmTJl4339/f309/dz6aWXctppp414nfvvv5+TTz6ZK6+8cuPB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\nPQAAAFAAFPYAAABAAfx/EyC9m0j9GqEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f902645dfd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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qnpNfcTP2RwPHjFhK9dtmAe8e4/bGIpI65QXDUr3DU83DUr3DUr3DUr3Dy3rG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\nxBtDieYZ+4uITqJ1nLuPOmjXzOYDpwGnufvZaY2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Xs9fVe+mlZS/pybOepJIDdJXF4iyA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\nAAXAxB4AAAAogP8PnZgMar45KncAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9026b32dd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"colors = ['k','r','g','k','c','m','y']\n",
"src.distribution.drawArrivalAngle([\"lambda_B=0.00001Mpc\"],colors=colors,plot=\"generation\",yrange=[1e-5,2e-2])\n",
"src.distribution.drawArrivalAngle([\"lambda_B=1Mpc\"],colors=colors,plot=\"generation\",yrange=[1e-5,2e-2])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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f7svr32/jxu4kitddd51GyTpP/MPc/Vep75iDBDXxn5b0GkmvcfcdVog1sw9K\nOkHSCe5+YsY2UBO/TOJR4HbCmuUE9YrUNG5DFl3UxANIgtc3qmJUTfxOGR/zBjP7gpkdOkG7pqU/\n0r7HkNv71w+cKx6TSTpFIwAAALLL2om/RtIrJH3DzK41s3eY2YNzbNckru793W/I7f1aeOaCr4jl\nP1fNklYr/jyAWc67COQdj8xjkXcs8o5XVOaZOvHu/kRJz5H0WUmPlPRhSTea2WozOzjH9mWxpvf3\neWbbd3vMbHdJz5Z0h7qLQAGlVvbVYQEAQDGyjsTL3S9z96MlPULdlVB/JulwSWvM7Kdm9lYze2A+\nzUzVrvXqTi+5t7qrvC41L+l+kj7n7r+Pbhuy6Z/wMcsiy5HIOxZ5xyPzWOQdi7zjFZX5xLPTuPtG\nSadIOsXMniXptZJeKekkSR80sy9J+qS7fz/rMczspZJe2ru4V+/vs8zszN5/3+zu71xylzdIukzS\nP/Tq9q+WdKC6001cI+lvs7YFAABUXLv/Qz0na6G6Mo/ED3GLpFsl3dm7fB9Jr5b0XTP7ipk9KOPj\nPlnSkb3Hep66r7q9e9cdKemwpTv3RuOfJulMdTvvx/X2/7ikZ7j7bRnbsVW73abuLMgs55x0BH75\n/PqTmOW8i0De8cg8FnnHIu9408i80+mo3W6P3GfikXgzu7e6nejXSXpu7+prJf0/6nai95f0Lkkv\nlnSquiU3qbj7vLqlMGnuc6OkY9MeK6lxwQIAAABZNBoNNRoNzc8P7/5mmideksxspbqlM0dLerCk\neySdL+lUd//mgP2/JOlQdw+vk88b88TvKOmcu4nn8Z5PPhXLrM+Njm3SPG90bVN+zsLwx2IeaaC2\nWFsDVZH7PPFmdpG6teVvl3SXpA9IerS7HzaoA99zpYbP3Q5sp7mymet+mBHXpng+PJapfwAA1ZW1\nnKah7lSOp0r6srvfk+A+X5X0y4zHw4xZWLVthLTT6XC2faBK5726+7xJ+otQGVQ674oi81jkHYu8\n4xWVedZO/N9I+p67/zDpHdz9x5J+nPF4AAAA+Wj3vunPbX/1oC/4zZXN7QaWgLLIVBNvZvdI+md3\nf0P+TSo/auJ3ZEe0UpUnUIeYTN7nGtRdnnlREw/U17DX97Bf6Wb9vRXFGVUTn3Uk/hZJLJaEbVJ0\n4KljBwCUEZ11VEnWTvwaSc/KsyFV0263t07/g22m8QZIfV+sWcp7ZG18W70TZaf7M/os5V0WZB6L\nvGORd7w/3xOOAAAgAElEQVRpZN7pdMbOP591saf3SdrPzP7OzO6V8TEqrd+Jr7JWq/uTYpKt1Sq6\ntUCOks5iwww2AIACNBqNsWsSZa2JP0PSvpKeI+kmSVf1/u7wYO4+tQWXilKXmnhLOUHHqP9larIn\nM3REuHfyFTXxySSuiU+wH5kC9cU5L6iKadTEH7Xkv/fqbcPUrhNfN0k7PAAA1AGdd9RB1nKafVJs\nwETG1YTVgc/54M2Tfdj098/DLORdJuQdj8xjkXcs8o5XVOaZRuLd/bqc2wEAldRqSYsJSuebTWmB\nqaaBSqGsDmWWqSZ+1tWtJp764fJj7uJkinhOpyk3q8HbBjBT+GxD0aZRE49Zsqq7kJPNF92QeuHD\noV5GfiHgvBIAQM4m6sSb2SMkHSrpEZJ2HbSPu39gkmOU1UzNE590mr2k0/alxJy3sR198o5F3vHI\nPBZ5xyLveEXNE5+5E29mH5B0fILHqG0nfua0E3Qkz5l+MwAAmARTTKLs+gPF8/PDyyAyzU5jZkdI\neq+kSyS9onf1WZKOkPRpSVsknSvpkCyPj2pqTmcgfqZHFPqLbUWa5byLQN7xyDwWecci73hFZZ51\nJP5vJP1vSS90983W7WVscPd/lfSvZnaepEVJ/5pPM1EGjFgAAGYJ5yyhzLLOE/9ESYvuvnnJdTv3\n/8Pd/0PSf0h6xwRtAyQx52008o5F3vHIPBZ5xyLveEVlnrUTfy9J/7Pk8u8l7bFsn/+UtH/Gx8eE\nWq1tpRjDNhQrzwWaAADAbMk0T7yZrZfUcfdje5evlvRLd/+zJft8TlLL3R+UV2PLogrzxCftpCdZ\ngIapENNZuvjPsKdJ/99nXP6cfJVOkfPEJ5likn9HoBx4TaIqRs0Tn3Uk/oeSnrDk8jclPdfMjjSz\n3czsReqe8PrDjI+PnLiP3lhBMn9JVu/Msi8AIB/9z8Cslv+y3Wrl1zYgqayd+H+X9AQz27t3+URJ\nGyWdKel2SedLMnVnsAEmUtX6vlEfEEk/PCb9oMmiqnlXFXnHI/NYs5B3mQZkZiHvsikq80yz07j7\nmep22PuXf2FmT5d0nKTHSNog6VR3/3EObQQAAAg3rKxu6eAK55ihKJlq4mddlWri82gmNfHp5FmX\njXSoiQeQJz7/ULRRNfGZV2ydde12e+tqWsBSiTtq7f5rkg8HAEA2/S8ay/HFo9o6nc7YMp2sNfEy\nsz82s5PM7Jtmdo2ZrR+0ZX38sut34jF91PfFIu9Y5B2PzGORd7ANRTdg9kzjOd5oNNRut0fuk2kk\n3swaki6QtKukuyX9uvd3Ob4GFmVVS3rsomx+9G7NlU0trGKKmjIYVldJCQYA5KtOJW7LR9w7nQ6D\njDMi6zzx35P0ZEl/JWm1u2/Ju2FlNq2a+KXzi4+SZm73JMbW/FITOBXLc6UTPzlq4gEkMej9dtDr\nk88/FG0aNfFPlPR5dz87e7OwXNIpqtJMZTXqjaf/5pSmw4/poYMHADGazWSfpXTeUWZZa+I3Srol\nz4Zgm1GLM+WpubI5lX3zRj1lLPKORd7xyDxWGfNeWMjv87W/4FMkm7ehA3BlzLvuKjVPvLqLPR2c\nZ0MQj1r46UhaOsEIDwBgWigFqr+sNfEPkfQdSf8h6Z3ufkfeDSuzadXE51lby4u3ONQ/F4eaeADR\ninh9J3l/oh9QD7nXxLv7zWb2AnU78q82s2slbRqy759lOQYAAACAwTLVxJvZ4yVdJumBknaT9BRJ\njSEbMBHq+2LVIe9+jeqwrajHGqQOeVcNmcci71jkHa9qNfEnSXqQpPdLOkvSf7v7oHnigZnHanpx\nks440d83z+MCqB9KUlBmWWvib5f0dXd/Rf5NKj9q4jHK8n8jOvHVlOdriJp4oJqq/Fla5bZjm2nM\nE79ZM76wb7vdVqPRYFU07GB5R403UABAND57qq3T6Ywt08k6T/waSU/PeN9a6HfiMX3U98Ui71hL\n8261xtfg97dWq7g2Vx3P8VjkHYu8400j80ajoXa7PXKfrCPx75b0HTM7QdKHplJbMotWtaTHLsrm\nR+zTlnRtU2Zj5nhv59cspMNPmMgqzWrMafYFANRP1pr4MyStUHfBpw2S1mr4FJPHTtC+UppaTfyQ\n2umB2mOO36YjWRQ68fVQRE183vsBmAzv5yjaNGrij1ry33v3tmFq14mftkSLN4w9sTXPFgEAMHvo\nvKPMstbE75NiAyZCfV8s8o5F3vHIPFbd885rzYhUx5y3ob/e1z3vMqrUPPHufl3O7QAAAEBOKAWq\nv6zlNChYqvr5imMWoFjkHYu845F5LPKORd7xiso8azkNCtJcmXxpyDT7IkdtH3/iMQAAwAQSjcT3\nZqNxSSe4+6+WXB6rjrPTFGlh1ZipJWuo0+kwshCIvGORdzwyj0Xescg7XlGZJy2n6c9G8yFJv9L2\ns9OMQyceAABUDnXlKLNE88Sb2Yref97o7ncvuTxWHU+CnfY88bxZVBtzeNcD88QDqPLncpXbjm0m\nnid+QEf8UZJud/e1E7YNqB06VgCAotF5r7+sJ7aukfTaPBsCDMOct7HIOxZ5xyPzWOQdi7zjFZV5\n1k78LZJ+n2dDqqbdbvNCmRH9hTz6W6s1Zv8Ri3AAAACM0+l01G63R+6TqCZ+hzuZnSvpUe7+zGxN\nqzZq4utnVI3xoJX4Rv3z8+9YD9TEA+D9HEUbVROfdST+fZL2M7O/M7N7ZW8aUH7u2zYAwOzwOacD\nj9LK2ok/QdJ/SnqPpOvN7AIzO8PMTl++5ddUzKoylS3NQme+THnPAvKOR+ax6pZ3v2Ryu+2IMXWW\nU2rDIHXLuwqKyjzpPPHLLZ0nfq/eNgzzxAMAgPp67GLRLdgBpUD1l7UmfkXSfZknPsXj8oIrTJ41\nxvw71gM18QCSKOL1mOT9ic+ieph4nvjl6tgxB3LT7r1hzhXbDAAAUF9Za+LR01rdGlwft2xrrY6t\nl6uTiFqzWah1T4p6yljkHY/MY5H39CyfArm7dVI9xrB+DJKrWk28JMnMdpf0Mkn7S9pD0iZJP5R0\nnrv/dvLmlVfaJ/jiukVeFAAAoFQW15Wvnh/JZKqJlyQz+wtJ/yRpzwE3b5T0Onf/4gRtKy0zc7W3\nXW6ubGph1cLQ/VurW8lfJNc25ecMfywUK0ntI/XK9ZDmS/e49wBq4gFEoya+HkbVxGc9sfV5ki6Q\ntEXSOZIulnSTurPUNCQd0du16e7fyNDmUpvaia18MJde2oWfUF2pvnxrzAlmdOIBVBhfCIozjcWe\n3i/pLknPdPdj3P1Md/9a7+/Rkp4p6e7efsBEylRP2WwW3YLpK1PeRVpYtbB1oZdR26TIOx6Zx6p7\n3mWrIa973mVUVOZZO/FPkXSuu1856EZ3v0LSub39Zl6rNezkk+03lN/CwvYruA4aCS3bGzoAYPbQ\nt6i/rJ34uyT9csw+/93br5aWdr5bYyaeWUxxzsgsjPSm1Wg0pn4M3uy2icgb25B3PDKPRd75G/WZ\nRd7xiso86+w0l0h69ph9ntXbr/aSdtKpXwUAAEAeso7EHy/pSWZ2opnttvQGM7u/mX1Y0hMlvXvS\nBpYV84rHob4vFnnHIu94ZB6LvKegbd1tgLR5UwI6uarNE/9uST+S9E5Jf21mP5D0K0kPk3SAutNO\nXiLp3bbs9x53PzZza4FpaptsfserORsfAFA5Wzv5k3+G8TlYTlmnmNyS9YDuXvlVYpdOMcm84eXX\nam0reRr2b2CmoaMaad+8mIprtiT592aKSaC+ing9JnrfSfhZxGdWuY2aYjLrSPw+E7QHCJX0nIXm\n91wLOayzxRshAACYtkyj4u5+XdYt5/YXpt1uU+cXJK+cR42SuCtRB75fO7h8qxOe17HIOx6ZxyLv\nWOQdbxqZdzodtdvtkftkHYmfeeOCRZxhnehpjIg3VzZTreIJAACQVqPRUKPR0Pz8gJP1ejLVxM86\nauLLZVwnnvwxTdTEAygjat3rYRo18ViGhYKKM+4Nio4OMFxrdSvRr0vNlU0trMrhpBEAIfLsvPOF\noJwqP1NM0ZKusMpKrNlF1PfVsbY9K+opYxWdd9LysDqVkRWd+aype95l+/yoe95lVLV54tGTx2wm\nmC5GEIDxkkxVB6A6KLurP0biUXqNRqPoJswU8o5F3vHIPBZ5589seBkveccrKvPEnXgz+4SZHWzL\nl2AFClK2nzABAACipBmJ/78lrZH0KzM7zcxeZGb3nlK7gK3S1Jr1RyeWbltvo8OfCPWUscg7HpnH\nIu8paNvQVcbT5s2A2OSqUBP/CEkvkfQySa+SdIyk35rZBZLOk7Tg7r/Jv4nAhK5tSo9NNvsGAABR\nBnWec5sJamsnf/KieM4pK6dM88Sb2QMkvUjdDv0LJO0m6Q+SLlK3Q/8Vd785x3aWytJ54lEcTlhF\nGVR9nvhE7ee1Bgw1yesx62KFeb5ueX2XW+7zxLv77ZJWS1ptZveR9DxJL5f0YkkvlPRPZnaZpP9P\n0nnufn2mlgMAhhp3hlKzyQxaQJnRccYkJp6dxt3vdPd/d/djJD1M0qGSTpW0QtJJkjaY2Q8mPQ5m\nF/WUscg7Vpa8k647sVifqd1zxXM8Fnl3RdWek3e8ojLPdYpJd7/H3de4+5slPVrSgZI+JOk+eR4H\nkCS1vbsBM2ZhofvT/agNAFBvmWriZx018eXAQhYogyJq4hO1K+kxqYkHQkS/jnjd1kPuNfEAgClY\n1ZIeuyibH79rbjNYAKilPDvvfCEop0TlNGb2X2b2hqwHmfT+mG3U98Ui71jb5Z1gKtS+xXUUvGfF\nczxW3fMu2zzrdc+7jMo+T/x+kv5oguNMen9gB5TRoK6STgkHoF7yHPGm5LT+0pTTNGzcfGaD8WmD\niTQajaKbMFPIOxZ5xyPzWOTdlWt5y4gOOnnHKyrzVJ343pYVnXnkiho9AAAwq5JOMflnOWxn5thu\nzBDq+2KRdyzyjkfmsch7CtrW3QZIm3fZavqrqNQ18e7emXI7AAAAkJetnfzJf63mF+9yYopJlB71\nfbHIewrGTR15cWhrZh7P8Vi1z7u/6OBcsc3oq33eJVSFmnggTGt1a+sUeowAoPJSTB2pa5vTaweA\nEMPKU8Z9nvF5hzToxKOUls6B3el0hn/LpcOTu5F5YyKDPqCX5r11ArBzcjhYioWjZg3P8VjkHYu8\n4xWVOZ14lJrP+fATRvo/YebR4QHqJsXof3MlX4aBPDGijgh04lF6jCjEIu9Y086bzsSOeI7Hqnve\nRSymNOp1nTZv3iMmV6maeDPbWdJO7r455/ZURrvdVqPRqP2bUx6W1wY2Vza1sGoh2X2N1eYAAEgr\n18WlWJclXKfTGTt1ZdJ54mVm9zezT5jZ9ZI2S/qDmW00s4vNrG1mj5+sudXS78SjK808s0vr3Ydq\n+9ZymVFP4iZVALljTudY5B2PzGORd3Zmg7dRyDveNDJvNBpqt9sj90kzEn+GpMslvUPSHpL+RNKz\ne9tBkt5vZpdIep+7fytLg1FPS7+5p11Qwl0a9tpghB4AUCd5jnj3O/t8VtZXmk78z939pOVXmtmF\nkj4mqSnpLyRdbGaflvRmd78rn2aiLrK8MfGLRyzyjkXe8cg8Fnlnl6UDTt7xiso8cTmNpD3N7GED\nrt/s7he4+5sk/R+SXiLpcZLWmNm982gkAAAAgG3SdOI/JGnRzI42s4Ej+O5+t7v/u7s3JJ0m6cM5\ntBEzyH3bCAT1fbHIOxZ5xyPzWHXPO0mdeu7HHHEeWtq805zThsGKeo4nLqdx9+vM7DBJ/ybp78zs\nNEnnjtj/dDP7VA5tBAAAQBrtfsd88qJ4ZqUpp1RTTPY68s+U9BZJ75b0Pkl3mtnZ6p70+lNJN0m6\nW90TXx+Zb3NRVnm/wJee3EN9XyzyjkXe8cg8FnnHIu94lZknvney6kfM7BRJh0t6maQXSVq1bNfL\nJP31xC0EAACYBf2VyOeKbQaqIU1N/Hbc/U53P9PdXyLpwZJWSDpQ0lMlPcTdn+Pu/5VPM1EXWWrv\n6l5PWTbkHYu845F5LPKORd7xSl8Tb2bPl/Qdd9+0/DZ3v0fSL3obAAAAgClKU07zBUm7mdlVkjq9\n7ZLlnXoz21vScZJulvSP7n5LPk3FrKK+LxZ5xyLveGQeq+5557mYUtLHGnUeWtq8OWl1clWoif+V\npJMlPV3SyyW9TdIWM1ur7Tv1GyS9ycwequ60lNTFAwAABMqzc57nSrLIT5qa+PPd/VPufoy77y1p\nb0lvlrSfpL+UdL6kW83sCjP7iKSXSton9xajlHKfZ7btW0/wob4vFnnHIu94ZB6LvGORd7zS18S7\n+zuWXb7ezP5U0kp3v8nMVkhqSDpY3U79/SS9KbeWAgAA1FieI979BajyLPdBuaSeYnKZO9z9Jqk7\nh7ykMyWdaWa7SvqkpB9M+PiomSxvTHWvpywb8o5F3vHIPBZ5xyLveEVlnnmKyZ59zOxRy6909z9I\ner2kN074+AAAAACWmbQT/ylJV5rZKjPbeekNvWkn757w8TGj3Lf9BEh9XyzyjkXe8cg8Vt3zNttW\nuhJ2zBHnoaXNO/dz2mZQ6WviB3H3i8zseHXLaE4xs69Lulzd+eL3lbRy4hYCAAAgnXa/Yz55UTyz\n0pTTpDXxcvfTzOwKSR+U9Ep1T2qVpLW9y5gBeb/Al57cQ31fLPKORd7xyDwWecci73hVmCd+KHe/\nStKLzGxPSY+RtMnd1+Xx2AAAADOhN7Wy5optBqph0pr47bj7Rne/gg48hslSe1f3esqyIe9Y5B2P\nzGORdyzyjldU5mM78Wb2MjM7z8xe2Zs6EgAAAECBxpbTuPt5ZvZfklZJOt7MfiLpHEnfcPct024g\nQH1fLPKensEzWDSCWwGe47HqnneeiyklfaxR56GlzZuTVidX6nni3f1qd3+/uz9V3UWcmpJ+aGan\nmNkzp9pCAJghzWbRLQBQBz7nuXXQmYaynFLXxLv799z9LZIOkHS+pNea2Q/N7INm9qe5txCVkPsL\nvO1bT/Chvi8WeU9Pf/2DpduaNZ3tLi8sFN3K+uM5Hou8Y5F3vMrNE99bzOkbkr5hZveR1JI031vB\n9d8k/au735BPMwEAAOpt6fTKEz9Wb1wtz3IflEteU0zeqW7H/d/MbA9Jh0n6TO9E2M9L+oK735rH\nsVBtWd6Y6l5PWTbkHYu845F5LPKORd7xSl0Tn4a7b3L30939+ZIOl3QfSeeb2VfNbJWZ3S/vYwIA\nAACzJHEn3szemfbB3f0md/+4uz9H0lvVXQjq82kfB/XVr6VfvvXrgyXq+6KRdyzyjkfmseqet9mw\nmaemeMwR56GlzZuTVidXhZr4v5L0kawHcvefSfpA1vujOK3VLS2uW9x6memoAAAouXa/Yz75Zzaf\n++WUphP/WDN7v6RPufvN02oQymdpB36YrC/wJPejvi8Wecci73hkHou8Y5F3vKIyT9OJ/4Ok2yW9\n28z2krRJ0mWSLnb3G6fROJTLuA73sJ8Th50Zn3Z/AABqrTe1suaKbQaqIc2Jrd/p1be/w91fJekE\nSbdJeqOZrTazfzGzvzKzx0ynqZhVda+nLBvyjkXe8cg81qzn3a+ZN5Narekfb9bzLkJRmafpxG+3\njqC73+7ui+5+gruvkvRmSddJ+qiZ/W8z+7yZvTbHtk6FmT3XzM43sxvNbIuZHVV0m8om6apvgxay\nGTWqnnZ/AADKJs0qy4vjq1OBxBKX07j774fdZmb3kvRySX8j6Vm9q58k6VsTtS7GbpJ+JOksSZ9V\nHmeAIFfU98Ui71jkHY/MY9U973GrLPcHp5LMYJN0IGvUwFravDlpdXJVqInfgZntLel1ko6V9EeS\n7lZ30adT3X3N5M2bPne/QNIFkmRmZxbbGgAAgMnl2TnPcyVZ5Cf1Yk9mtpOZvdjMFiX9TNK7JN0l\naV7So939lVXpwKMaqO+LRd6xyDsemcci766oklHyjlf6eeLN7GGSXiPptZL+uHf1GkmnSvqyu9+T\nf/MAAABmQ54j3v3yHc41q6805TTXSdpV3aklT1G3ZOaaaTQK1TPNN4u611OWDXnHIu94ZB6LvGOR\nd7yiMk9TTrOrpJ9LOlLS8VEdeDN7hZmdYmbfMrPbezPIfG7MfR5pZqeb2S/N7E4z22BmJ5vZnhFt\nrhuWZAYAACiXNJ34yyUdJunRkv7FzP7NzP7ezP6Xme026A5mdmwObXyvpDeqO9tNf1GpoeO9Zrav\npCslHS3pO5JOkrRe0lskXW5mD8qhTQhEfV8s8o5F3vHIPBZ552/U4FravBmom1zpa+Il3eDuP1J3\nOsZPSpKZ7SfpIEmHm9nu6pbcdCR9y91vl/QeSadP2Ma39o79czM7WN06/FFOlfQQSW9y93/sX2lm\nH5P0NkkfVHcqzP71u0la2bu4k6RHm9n+km5x9xsmbDsAAEC8dr9jPnmdK7PSlFPikXh3P3zAdde4\n+2fc/Vh3f6W6nfsHSvqwmV0lae9JG+juHXf/ee/iyK+KvVH450nasLQD3zMn6XeSXmVm91ty/f8p\n6Qe97T7qzrLzg97fWmutbo39Bl6Gb+fU98Ui71jkHY/MY5F3V3/V1mkj73iVnCd+OXe/XtL1ks42\ns4erOwVlpEN6f7++/AZ3/62ZXapuJ/8Zki7qXd9Rhqk262BxXfKl45orUyxJBwAA0mv3Rrznim0G\nqmFqnVd3/29JV0zr8YfYr/f32iG3r+v9XTnk9pk06mcyn3P5nGth1egl6aY5/y31lLHIOxZ5xyPz\nWOQdi7zjlb4m3syeL+k77r4pxeP/X+mbNJE9en+HtbF//cSz1Bx99NFasWJF98H23FP777//1p9T\n+v+YZb/cV5b2DLu8du3aUrWn7pfJO91lbdB2Bu6/QVuLC3PJe8TjTeX1neB4Vbq8du3aUrWn7pfJ\ne2m5RUedzujbu0Y/Xt+4vLWhe90svb6LuNyX1+tl48aNkqTrrrtOo5gnHD41s02SdpN0lbrPso6k\nS5Z36s1sb0nHSbpZ0j+6+y2JDpCsDQ11y2DOdvcjB9z+aXUXpHqNu+9wQq2ZfVDSCZJOcPcTJ2iH\nJ82tzFhGGZhcktdR3q+16GPyXgFMLnrxJV639WBmcveBZ1OkqYn/laSTJT1d0svVnelli5mt1fad\n+g2S3mRmD5X0IUl/nb3pqfW/UOwx5Pb+9RsD2lJ6vLABAKinPD/j+UJQTjul2Pd8d/+Uux/j7nur\n++PLm9WtQ/9LSedLutXMrjCzj0h6qaR9cm/xaFf3/u435PZ+LfywmnmU0PKfqzBd5B2LvOOReSzy\n7prmuWNLkXe8ojJPPBLv7u9Ydvl6M/tTSSvd/SYzW6FuEdfB6nbq7yfpTbm1NJn+HPLPs2U1L715\n7J8t6Q51F4ECAAAojVzL4ILLdxAvzUj8IHe4+02S5O7XufuZ7n6MuiPe56k733oYd1+v7vSSe6u7\nyutS8+p+sficu/8+sl2zYJrz32474QcRyDsWeccj81jkHYu84xWV+aTzxO9jZo9y918svdLd/2Bm\nr1e3hv7NkxzAzF6qbmmOJO3V+/ssMzuz9983u/s7l9zlDZIuk/QPZnaouiU2B6r7K8E1kv52kvYA\nAAAARZt0JP5Tkq40s1VmtvPSG9z9Hkl3T/j4kvRkSUdKerW6CzW5uiPtR/a2w5Ydd72kp0k6U93O\n+3G9/T8u6RnuflsObVK73abuLAg5xyLvWOQdj8xjkXf+Rq22njbvcSu3Y7xpPMc7nY7a7fbIfSYa\niXf3i8zseHU7zKeY2dclXS7pF5L2VQ6LKrn7vLqlMGnuc6OkYyc99ijjgq0CzjYHAKCm2v2O+eSf\n8fQT4jUaDTUaDc3PD+8CT1pOI3c/zcyukPRBSa9U96RWSVrbuwxMhPq+WOQdi7zjkXks8u6KOtGU\nvONVqia+Vzqzk7tvliR3v0rSi8xsT0mPkbTJ3dfl10wAAICaa/d6+HPFNgPVkLgm3szub2afMLPr\nJW2W9Acz22hmF5tZ28we7+4b3f0KOvDx+jVtS7fW6lbY8ac5/y31lLHIOxZ5xyPzWOQdi7zjFZV5\nmhNbz5B0vaR3SHqtujPPXK3u3Ovvl/RjM+uY2UG5txKZLK5bLLoJAAAAmII05TQ/d/eTll9pZhdK\n+pikpqS/kHSxmX1a0pvd/a58mom+YSej1vmkE+r7YpF3LPKOR+axyDu5pL9oj/rMT5t3nfsPUapQ\nE7+nmT3M3X+17PrN7n6BpAvM7G2SXijp7ZLWmNkhdOTLixcuAAD1lOdnPLPZlVOacpoPSVo0s6PN\nbGDn393vdvd/d/eGpNMkfTiHNpYS88THIedY5B2LvOOReSzy7prmuWNLkXe8ouaJT9yJd/fr1F1Y\n6U2SrjOzeTP70xH7ny5p16SPXzXtdpufCAEAQG7yXHjJbNu0lqieRqOR72JP7n6dmT1T0lskvVvS\n+yTdaWZnq7vI008l3aTuSq1/IumR6ZuNKprm/Ld8WYpF3rHIOx6ZxyLvWOQdrwo18ZKkXo37R8zs\nFEmHS3qZpBdJWrVs18sk/fXELQQAAACwnTQ18dtx9zvd/Ux3f4mkB0taIelASU+V9BB3f467/1c+\nzUSfz3miE0vy/EmuaNT3xSLvWOQdj8xjkXf+Rn3Gp827Tv2FohT1HM+0Yuty7n6PpF/0NlQEZ5sD\nAFBT7X7HfPLPePoJ5ZR5JB6IQn1fLPKORd7xyDwWeXdFnWhK3vEqUxMPAACAKWj3Rrznim0GqoGR\n+JLpf1NfvpXdNOe/pZ4yFnnHIu94ZB6LvGORd7yiMqcTnxGLPQEAAGAakiz2ZB6xfFjNmJkXlVue\nJ6NyYiswuSSvo7xfa9HH5L0CmNw011MZeDxet7VgZnL3gTUZ1MTPMF7YAADUU56f8XwhKCfKaVB6\nlC3FIu9Y5B2PzGORd9c0zx1birzjURMPAAAww/JceKkqE2MgO8ppam7Ym0HeP4lNs9aPOW9jkXcs\n8tw8wU8AACAASURBVI5H5rHIOxZ5xysqc0biSyTNt+ZR+/Ufp9XKp10AAAAoFzrxFdP8nm9bDGKM\nxcXuiPugrUqo74tF3rHIOx6ZxyLv/I0qu0mbd54lPLOqqOc45TQVs7Awfh936uCAaHwIAiiVdv89\nafKBu6oN/s0KRuIxVqtV7Aky1PfFIu90miubE+1H3vHIPBZ5d0V9jpJ3vKIyZyQ+o3a7rUajMRMv\nlsXFZPs1k/VlgFpZWJXg5zEASKJfLjtXbDNQvE6nM7ZMh5H4jPqd+LKaxny0ox7PPVmpTxbUU8Yi\n71jkHY/MY5F3LPKON43MG42G2u32yH0YiS+RqKWYAQAAUG3m9BxTMzMvKresSx8Pq8NL8r8xzTng\nAaSX5H0gz2XSWXIdmFz0Zymv23owM7n7wF4cI/EYi847AADVkmfnnS8E5URN/Izo18gv36qA+r5Y\n5B2LvOOReSzy7or63CXveEVlTiceAACgBPJceKnIqaERg3IaSJqsZn7ayjwLUB2Rdyzyjkfmscg7\nFnnHKypzRuJLhG/NAAAASIJOfMX4nE/lxJIy18xT3xeLvGORdzwyj0Xe+RtVdpM27zxLeGZVUc9x\nymkAAADqpt3vmE8+IsesNOXESDxKj/q+WOQdi7zjkXks8u6KKpkl73hFZc5IfEbtdluNRoMXCwAA\nyEe7N+I9V2wzULxOpzO2TIeR+Iz6nXhMH/WUscg7FnnHI/NY5B2LvONNI/NGo6F2uz1yH0biS6Qs\nJ5ICAACg3MzpOaZmZl5Ubix9DCDJ+0Ce7xW87wCT69fDR3UfeN3Wg5nJ3QeeTcFIPAAAQM3k2Xnn\nC0E5UROP0qO+LxZ5xyLveGQei7y7otZfIe94RWVOJx4AAKAE8lx4iVXg649OPEqPWYBikXcs8o5H\n5rHIOxZ5xysqczrxJcK3ZgAAACRBJ75ifM5n7sQS6vtikXcs8o5H5rHIO3+jym7S5p1nCc+sKuo5\nzuw0AAAAddPud8wnH/ibtcHDqmAkHqVHfV8s8o5F3vHIPBZ5d0WVzJJ3vKIyZyQeAACgDNq9Ee+5\nYpuBamAkHqVHPWUs8o5F3vHIPBZ5xyLveNTEI2wpZgAAAFSbOT3H1MzM5+bm1Gg0pl4HNeyMcU4y\nAWZXkiXQ81wmnSXXgcn16+Gjul28bqut0+mo0+lofn5e7j6wM0gnPgMz86jcBnXimyubWli1EHJ8\nAOVDJx6onuhOfJ54DyiOmQ3txFMTX3L9eeGXbrPWgae+LxZ5xyLveGQei7y73GM68OQdr6jM6cSX\nCAsuAAAwu/LsB7AKfP3RiUfpMedtLPKORd7xyDwWecci73hFZU4nHgAAAKgYOvEoPer7YpF3LPKO\nR+axyDt/o8pu0uZNKe/kmCceAAAA+Wj3O+aTn03LrDTlxEg8So/6vljkHYu845F5LPLuijrRlLzj\nFZU5I/Fl0u59050rthkAgOkwpguZeUmeAtZO9jxJsl+ej4V8TbrmECPxKD3qKWORdyzyjld05u7O\nxsY241seGIkvkZz+TQEAAFBzjMSj9Kjvi0Xescg7HpkDqAM68QAAAEDF0IlH6RVdvzpryDsWeccj\ncwB1QE18AYaemd47M5z5WAEAADAKI/EoPepXY5F3LPKOR+YA6oBOfAHcB28AAABAEnTiUXrUr8Yi\n71jkHY/My2PNmjU64IAD9NrXvlZ333130c1J7JprrtFhhx2m4447Tm9/+9t11FFH6de//vXU7v+7\n3/1OT3rSk8Y+7lFHHaWnPOUp2mmnnbTLLrvoxhtvHLn/ZZddpvvf//66973vrWc+85k69thjE/8/\noHh04jNqt9uJPwiilloGAKBKDjnkEH3sYx/TZz7zGX3uc58rujmJbNq0SYceeqgOO+wwnXTSSfrY\nxz6mxz3ucTr00EO1efPm3O///e9/XwcffLB+8pOfjH3ss846S1/60pf07Gc/W1u2bNG6deuG7rt5\n82add955uvPOO/WGN7xBl19+uU4//fSxx0CMTqejdrs9ch868Rm1223qKoOQcyzyjkXe8ci8XA45\n5BDts88++uxnP1t0UxL58Ic/rLvvvluHH3741ute//rX65prrtFpp52W2/2vvvpqvehFL9Kpp56q\nXXZJPg/Jt771LR1zzDGSpPXr1w/d77TTTtOf/MmfaMuWLTr00EMTPz5iNBoNOvFV4nPOzDQAgJlz\nxBFH6JJLLtENN9xQdFPG+uIXv6gDDzxQO+20rQv1wAc+UI973OP0xS9+Mbf7P+5xj9NXv/pVnXHG\nGdpvv/3kCU+eu/TSS/WKV7xC97nPfYZ24jds2KD73ve+uuaaa2RmOuiggxI9NsqFTjxKj/rVWOQd\ni7zjkXn5vOpVr5K765xzzim6KSP95je/0c9+9jM96lGP2uG2hz/84bryyiunev8kNm3apAc84AFa\nsWLF0E785z73OR155JG65JJL9IQnPEF77rnnxMdFPOaJBwAAhVq5cqWe/vSn6+yzz9bxxx9fdHOG\nuv766yVJD3jAA3a4bbfddtPtt9+uzZs36173utdU7j/OjTfeuPULwt57762f//znO+xz3nnn6SUv\neYl+//vf68orr9TrXve6rbd95Stf0YUXXqj//M//1DnnnKNvf/vbuvLKK3Xbbbdp55131j/8wz9s\n17Yf//jHOumkk/SABzxA973vfbXrrrvqPe95j3bddddM7V/ajm9+85u66qqrdNZZZ+mWW27Rl770\nJZmZLrvsMr3jHe/QC17wAp188sm65ZZbdPPNN+uuu+7SGWecMbD06Oqrr9ZJJ52k3XbbTZs3b9b/\n/M//6OMf/7j22muvoceSpG9/+9t6z3veoxe+8IWpHjOMu7Ol3LqxJdefRBIA8qC2XO3RbypJ9snz\neEgm7efHLDnllFPczPwHP/jB1I5x7LHH+v77759qu/jii7fe/9JLL3Uz83a7vcNjv+pVr3Iz81//\n+tdDj5/1/kcddZSb2dj/v7PPPtvPP/98d3d/4xvf6A9+8IO3u33Tpk3+0Y9+1N3dL7zwQjcz/8IX\nvuDu7n/4wx/8rW99q7u7P+1pT/MnPelJfuGFF26979Of/vTt2n3uuef6Ix7xCP/Rj37k7u6dTsd3\n3333rcfPank7nvOc5/hJJ5209fYTTzzRH/rQh/pxxx3nGzZscHf3e+65x3fffXc/66yzdni8L3/5\ny/7whz/cr7zyyq3XnXzyyf60pz3N77rrrpHH+tCHPuSPetSjUj3mli1bEv1/Jn0v6O03sD/KSHwA\n5oAHAGRV1Oxm0Z9dK1askNQt9XjKU54ylWMkOfF0lJ133lmSZAP+Ufozy9xzzz1Tu/84l156qf7+\n7/9ekrTPPvvo1ltv1W9+8xvtvvvukqR//ud/1hve8AZJ0iWXXCJJeu5zn7v18kEHHSR314YNG/T6\n179+uxNe9913X33hC1/Q3NycfvjDH+rII4/UZz7zGT3xiU+UJN1+++3ab7/99NSnPjVz+5e3Y/36\n9Tr00EP1tre9bevtu+yyi2655RatWrVq63Nmp5120s4777zDNJ0//vGPdfjhh+tTn/qUDjjggK3X\nH3TQQTruuON04oknjjzWli1bdMstt6R6zO9+97t6xjOeMVEGSdGJR+l1Oh1mkwhE3rHIOx6Zl89F\nF12kf/mXf9Hzn/98ff7zn9dHP/rR7U78LIuHPOQhQ2+74447ZGZbO8zTuP84t95669b69r333ltS\nd4aaJz/5ybriiiu03377abfddpPU7SyvXLlSD3vYwyRJT3jCE/TABz5QP/3pT3Xrrbfq+c9//naP\nvX79et15552SpHe9613aa6+9dMQRR2y9/cUvfrFe/OIXb7181VVX6Zhjjkl8Qu4BBxyg0047bWuN\n/o9+9CPddttteutb37rdft///vd14IEHbvdlYf369dq0aZMe//jHb7fvO9/5Tj30oQ/VkUceud31\nt99+uyTp0Y9+tJrN5tBjXXXVVdp///1TPeYNN9xAJ34W2Xz3mzkz1AAA+ur+a+4FF1yg973vfbro\noov0ta997f9v797DoyrPvY9/76ASQAMKBWpFOYhIixgUAQUk2IqKhVrRrSJIbZEKdANa46tSN7ht\n3colCAKyqxUtoFvBetie0EJOoC0gpLyC5ZSAGKogCCLhkASe/ceaDDlnkkzWHPL7XNe6hqzjMzeT\nlXueda9nceutt7Js2TIGDRoU6aaV06ZNG8yM/fv3l1uWn59PixYtgklyfWxfld27dwcTcvB64sFL\ncLt168a7777LlClTACgoKGDVqlWlkvDiWu7MzEwSExNLJaKHDx8mOzubn/zkJ+zdu5fly5czfvz4\nCq8oFLv44otZt25djd9HcTvS09Np2rQpvXr1KrU8MzOz3EOpli5dSmJiIgMGDAjO27t3L3/9618Z\nN25cuS+Eq1evBqBr164kJiZWeKzCwkKWLl3Kgw8+WKN9Fn958oOSeIl66jHzl+LtL8Xbf4p59Hjz\nzTeZOHEiWVlZJCUlMXToUJKSkli4cGGpJP7YsWM8/vjjzJw5kwEDBnDZZZcBkJOTQ0FBAfPmzQup\nB3vMmDFkZ2fXqI0zZswIDsHYrFkzevTowc6dO8utt23btnK9tmXVdfuqZGVllUpii5PJnJwcXnzx\nxVKJ75o1azh69Gip9YtlZmbSt2/fUjewpqWlUVhYyG233Ra8WbZnz561bmso0tPT6devX6kbVbds\n2cJXX31V7nf4jTfe4LrrrqNp06Zs3749eFOvc67Cdi5YsIDzzz8/uKyiY73//vt899133HbbbZw4\ncYK8vDy+/PLLkPfpByXxIiIi4rtXX32VMWPGsGzZMs477zwAEhMTGTZsGIsXL+bw4cM0bdoUgMaN\nG5Oamsrjjz/O9OnT6dSpU3A/P/rRj5g2bRqPPvpotcd89tln69zu66+/vlxtfU5ODnl5eTz00EOl\n5m/dupV27dqRmJhYq+1LqqrXG7yRVB5++OHgz0lJSbRs2ZIVK1YwePBg2rVrF1xWth6+pKysLMaO\nHVtq3ty5c+nRowfDhw8PjrBT0Zem7du3889//pPBgwdX2dbqHD9+nKysrHIjFWVkZHDqqafSt2/f\n4LxvvvmGjIwMXn31VQCmT5/OnDlzaN26dYXt/PDDD9m0aRPvvvtulcdasGABV111Feeeey4ffPAB\nR44cCX7Jqm6ffom+gjORMjSms78Ub38p3v5TzCNvwYIFjBw5khdeeCHYq15sxIgR5Ofn8/rrr5ea\nv3LlSlq1alUqgT9x4gSHDh2iSZMmvrQbYOzYseTn57No0aLgvNmzZ3PRRRcxevTo4LysrCy6dOnC\nDTfcUKvtSzp69CjOOY4cOVLh8j179pCWlkbLli1LzW/fvj07duzgrrvuKjU/PT2dc845p9x49Vu2\nbGH37t1s2LAhOG/OnDls3LiRJUuWkJCQQIcOHRg0aBCZmZmltl2xYgWPPvooAwcOrLCNNZGdnc23\n335brsc9IyODXr16lfr/3rFjB8ePH+fqq68mMzOT3r17A1TYztzcXMaMGcPs2bO59tprqzzW1q1b\nGTp0KEVFRSxevJghQ4bQvn37kPbpF/XE+6D4y3O81zWKiIiEYtq0aTz55JPceOON5ZYNHDiQ/v37\n8/TTTzNixIjg/GXLlpVKtI4fP864ceNITk4mNTXVj2YDXs12RkYGkydPZt26dRw6dIj9+/fz/vvv\nlyrHaNu2La1bt+b888+v1fZff/01I0eOZNeuXWzcuBEz47zzzqNbt26MHj2a4cOHs2/fPoYNG8ba\ntWs5fPgwnTp1IjU1NdiT3rNnT0aNGkVCQgJFRUUMHTqU3bt3k52dTZMmTUhJSeHGG29kwoQJgFdK\n07hxY8aMGcPYsWNJSEigoKCANWvWlKq3f/XVV7nnnnsYPXo0Z511FgUFBSQnJzN//vywxPjLL7+k\ne/fu5b7g7d27t9RnAiA5OZmbbrqJ+++/n3bt2pW6mlGynU2bNmXfvn0sWbKk1H4rO9bkyZP585//\nzMaNG0lNTQ2OLBTKPv1iod41LCcFxmqtwfrea3Wb6MZWEQlFKOeKcJ5PdG4KHzMLebQOKe3SSy+l\nV69epKSkcPz4cd577z1atWrFU089VW2piYRmxIgR7Ny5M1huI/Un1HNBYL0KP+DqiY8i+gMpIiJS\n3r59+1i/fj1vv/02Z599NgDDhw9n6NChTJo0iVmzZkW4hfEhMzOTkSNHRroZEiLVxEvUU/2qvxRv\nfyne/lPMY09aWhpdu3YNJvDF2rVrx8qVKyPUqviydetWdu3axRVXXBHppkiIlMSLiIhIVFu+fHm5\nhw9t2LCBl19+2dd6+Hg1a9YsBg0ahJlx//3388QTT0S6SRIC1cTXQn3VxIuIhEI18bFLNfE189ln\nn/HKK68wd+5cUlJS6N69O+CV1+Tl5TFp0qQKh0kUiXbhqIlXEl8LNU3iRUTCSUl87FISLyIQniRe\n5TT1xB6xUtP1L18f6SbFLNWv+kvx9pfi7T/FXETigZJ4n7y39b1q1ylO+EVEREREqqIhJmupbLJd\n9jJzyZ+VmNdN2aeoSf1SvP2lePtPMReReKAkPgwGdx5c5XLVkYqIiIhIOKmcppbcFBec3h3+bqSb\nE9dUv+ovxdtfirf/FHMRiQdK4n1gdnKYSRERERGRulISL1FP9av+Urz9pXj7TzEXkXigmvhamjp1\nKikpKWH9Y6DaeRERERHJyMiotvRPPfG1VJzES/1T/aq/FG9/Kd7+U8xFJNqlpKQwderUKtdRT7wf\nphYXxKunXURERETqTj3xEvV0xcNfire/FG//KeYiEg+UxIuIiIiIxBgl8RL1VL/qL8XbX4q3/xRz\nEYkHSuLDoHgc+LJTjffziGGPaEB5ERFpGNLT07nkkksYM2YMRUVFkW5OyDZv3sywYcO49957+e1v\nf8uoUaPYs2dPvW1/+PBhunfvXu1+R40aRY8ePUhISOCUU04hLy+vyvU//vhjTj/9dE477TQuv/xy\nfvnLX4b8HqLF7bffTvv27Tn99NPZvHlzleved999XHDBBTRv3pwPPvjApxbWI+ecphpOXthOgoqn\n4PKpOKaW3qYioa4nIg1bKOeKcJ5PdG4Kn7J/P8S5tLQ0Z2Zu/vz5kW5KSA4cOOB+8IMfuJdeeik4\n77HHHnPdunVzBQUFYd9+9erVrmfPni4hISGk9m3bts3169fPmZlLS0urdL2CggJ33333uUaNGrmJ\nEyeGtO9odd9997lWrVqFtO4zzzzjGjVq5A4cOFDPrapaqOeCwHoV5qPqiQ+DytL44PIpTmPAi4iI\nVGDgwIF07NiRBQsWRLopIZk2bRpFRUXceuutwXl33303mzdv5vnnnw/b9ps2beKnP/0pzzzzDKec\nEvpggitWrODOO+8EIDc3t9L1nn/+ebp27cqJEyf48Y9/HPL+o9Hq1au58sorQ1734osvpnnz5vXc\nqvqnJF6inupX/aV4+0vx9p9iHn1uv/12srKy+OKLLyLdlGotWbKE3r17k5BwMoU688wzufDCC1my\nZEnYtr/wwgt55513eOGFF+jSpUtxJUC1PvroI2666SYSExMrTeK3b99OkyZN2Lx5M2ZG//79Q9p3\nNDpy5AirVq0KedSpjIyMuBmhSkm8iIiIRNSIESNwzvHSSy9FuilV+u6779i2bRvnnntuuWXf//73\nWbt2bb1uH4pvv/2WpKQk2rdvX2kSv3DhQu644w6ysrLo1q0bLVq0qPNxI+Xjjz+moKAgpMT8888/\n5/PPP4+bJF4Pe5KoFy+/bLFC8faX4u0/xTz6dO7cmV69erFo0SIeeOCBSDenUp9//jkASUlJ5ZY1\na9aMgwcPUlhYyKmnnlov21cnLy8v+AWhQ4cO5OTklFvnjTfe4Gc/+xlHjhxh7dq1/PrXvw4ue+ut\nt1i2bBkbNmzgpZdeYuXKlaxdu5b9+/fTqFEjnn766VJt+/TTT5kxYwZJSUk0adKExo0b89BDD9G4\nceNatb+sTZs2MWPGDJo1a0ZhYSF79+5l5syZtG3bNrhOeno6rVq14qKLLiq3fVpaGvPmzaNjx47k\n5+fzwx/+kISEhJBLb6Kdkvgoorp5ERFpqEaMGMGECRPIzs6mR48e9XKMX/3qV6xbt65G28yaNSuY\n9B08eBCA0047rdx6zZo1A+DAgQN873vfq3Bfdd2+OpmZmQwYMADwkvhVq1aVO35ubi4///nPWb58\nOUVFRcH3VlBQQEZGBrNnz+ayyy7juuuuY8aMGTzxxBMA9O7dm8cee4wpU6YAsHjxYu655x6WLl3K\nRRddRGZmJkOGDKFnz54MGTKkVu0v6a233mLs2LG88847XHLJJQDMnDmTIUOGsHr1aiwwDGB6enqF\nSfnzzz/PAw88wNq1azn33HP56quv6Ny5M8nJyXFRDw9K4uuseCjJEEvVpBbiqX4tFije/lK8/Rdr\nMY/U0MN+dyy1b98e8Eo96iuJD+XG06o0atQIIJhAllRYWAjA8ePH62376nz00Uc89thjAHTs2JFv\nvvmG7777jjPOOAOAP/7xj4wbNw6ArKwsgGACnJWVRf/+/XHOsX37du6+++5SN7x26tSJxYsXM2XK\nFLKzs7njjjv405/+FOwBP3jwIF26dOHSSy+tdfuLffrpp9x6663MmzcvmMAD9O/fn3vvvZdVq1bR\np08f8vPz+eSTT5g+fXqp7devX8/YsWN58cUXg1cm2rZtS4sWLWLqd786SuJrqSbjwBefgNXTLiIi\nUl5aWhrPPfcc11xzDa+88gpPPvlkqRs/o0VVPeT5+fmYWTBhro/tq/PNN98E69s7dOgAeCPUXHzx\nxXzyySd06dIl2OOflZVF586dadOmDQDdunXjzDPP5LPPPuObb77hmmuuKbXv3Nxcjh49CsD9999P\n27Ztuf3224PLhwwZUqoHfv369dx5550h35B7ySWXBL9kpaam0rp1a+64445S6xRfyfjiiy/o06cP\nK1eupLCwsFxiPnnyZM444wxuueWW4LwdO3awa9cuJfFS2uDBkW5BfIunX7hYoHj7S/H2X6zFPN47\ngN5//30efvhh0tLSWLp0KbfeeivLli1j0KBBkW5aOW3atMHM2L9/f7ll+fn5tGjRIpgk18f2Vdm9\ne3cwIQevJx685Ltbt268++67wVKYgoICVq1aVSoJL64zz8zMJDExkT59+gSXHT58mOzsbH7yk5+w\nd+9eli9fzvjx4yu8olDs4osvrnHpEsDevXv561//yrhx48p9kVu9ejVw8gtKcT18t27dguscOHCA\npUuXcvPNNwevfIB3BS6e6uFBSXytqXxGRESkbt58800mTpxIVlYWSUlJDB06lKSkJBYuXFgqiT92\n7BiPP/44M2fOZMCAAVx22WUA5OTkUFBQwLx580LqwR4zZgzZ2dk1auOMGTOCQzA2a9aMHj16sHPn\nznLrbdu2jeTk5Cr3Vdftq5KVlRWsh4eTiW5OTg4vvvhiqaexrlmzhqNHj5Zav1hmZiZ9+/YtdQNr\nWloahYWF3HbbbcGbZXv27FnrtlYlJycH51yF+1+wYAHnn39+cFnJevjt27fToUMHtm3bxokTJ7j8\n8svLva/k5GSSkpKC68a66LtWJVKGxnT2l+LtL8Xbf4p5dHj11VcZNWoUr732Gueddx4AiYmJDBs2\njDfffJPDhw8H123cuDGpqakcPXqU6dOnM3nyZCZPnsz8+fPJzs5m2rRpIR3z2WefZc2aNTWayo6h\nfv3115e7YTQnJ4e8vDxuvvnmUvO3bt0aLEGpzfYlVdXrDbBy5cpSvcxJSUm0bNmSFStWUFRURLt2\n7YLLytbDl1RcG1/S3Llz6dGjB8OHD6d169YAFX5p2r59O++9916V7axOZfv/8MMP2bRpE08//TTg\nXR1Yt24dAwcOBAjegFt802rJYTyPHTvG8uXLg+vOmDGjTm2MFkrio4g9YhG7gUlERMQvCxYsYOTI\nkbzwwgvBXvViI0aMID8/n9dff73U/JUrV9KqVSs6deoUnHfixAkOHTpEkyZNfGk3wNixY8nPz2fR\nokXBebNnz+aiiy5i9OjRwXlZWVl06dKFG264oVbbl3T06FGccxw5cqTC5Xv27CEtLY2WLVuWmt++\nfXt27NjBXXfdVWp+eno655xzTrnx6rds2cLu3bvZsGFDcN6cOXPYuHEjS5YsISEhgQ4dOjBo0CAy\nMzNLbbtixQoeffTRYKJcWxXtPzc3lzFjxjB79myuvfZawLsR+MSJE3Tu3Jk1a9YEP0fnn38+ycnJ\nwSsGx48f5ze/+Q2HDx+mc+fO7Nmzp9aj/0QbC/WGAznJzFxN4hbqja26AVZEQhHKuSKc5xOdm8LH\nzEK+0S+edevWjTFjxjBhwoQKlw8YMIAjR44Ea6DBu5nyyy+/ZOHChYCXnI0bN46vvvqK1157rdZj\nq9fG+vXrmTx5MhdccAGHDh1i//79zJo1i7PPPju4zpYtW7jyyiu56aabmDNnTo23//rrrxk5ciS7\ndu1i48aNmBktW7akW7dujB49muHDh7Nv3z6GDRvG2rVrOXz4MOeddx6pqamMHTsW8L4wjBo1ij59\n+lBUVMTQoUPZvXs32dnZNGnShMsuu4wbb7wx+P/w3HPPMWHCBN5++23+8pe/kJCQQEFBAb///e9L\n1dt/++233HPPPSQkJHDWWWdRUFBAcnIyv/jFL8IS35L7b9q0Kfv27WPSpEnlvvBNmzaNzMxMOnbs\nyKxZs4I19Dk5OUyaNInOnTtTVFTE+PHjWbduHX/605/o2LEjjz/+eLkvPH4L9VwQWK/CHl4l8bVQ\n0yQ+5P3qD6WIhEBJfOxSEl97l156Kb169SIlJYXjx4/z3nvv0apVK5566qlqS00kNCNGjGDnzp3B\nchupP+FI4lVOI1FP9av+Urz9pXj7TzGPPfv27WP9+vU8/PDD3HLLLQwfPpxFixaRm5vLpEmT65+/\nsgAAENlJREFUIt28uJGZmUm/fv0i3QwJkZJ4ERERiWppaWl07dq1VLkJQLt27Vi5cmWEWhVftm7d\nyq5du7jiiisi3RQJkZJ4iXqxNqZzrFO8/aV4+08xjz3Lly8v9/ChDRs28PLLL5OamhqhVsWPWbNm\nMWjQIMyM+++/PzjSi0Q31cTXQn3VxIuIhEI18bFLNfE189lnn/HKK68wd+5cUlJS6N69O+CV1+Tl\n5TFp0qS4eniPNBy6sTVClMT7KyMjQz1nPlK8/VWbeCuJr5tIfsaVxIsI6MbWmKHx30VEREQknJTE\nS9RTr7C/FG9/Kd7+U8xFJB4oiRcRERERiTFK4iXqaUxnfyne/lK8/aeYi0g8UBIfRVQ7LyIiIiKh\nUBIvUU/1q/5SvP2lePtPMReReHBKpBvQEMTLsGwiIiIiEh3UEy9RT/Wr/lK8/aV4+08xF5F4oCQe\nMLNxZrbdzI6Y2Sdm1i/SbRIRERERqUyDT+LN7BZgJvB7IBn4GHjfzNpFtGESpPpVfyne/lK8/aeY\ni0g8UE083Au84Jx7PvDzBDO7FhgLPORnQ1Q7LyIS/8w0CpmI1F2D7ok3s9OAS4APyyz6ELgirMcK\nDB9ZdpLqqX7VX4q3vxRv/0Uy5s65Bjelp6dHvA3RMIE31XUd5xxMBaZW/HkqjndV64S6L02hTbX9\njNdVg07igVZAI2B3mfl7gLb+N0dEREREpHoWjm8CscrMzgbygCudcytLzP8PYLhz7sJKtnMNOW4i\nElnFV/GqKsELZZ1wHk9EqlZcReVX+qDf2/hgZjjnKizdiPqeeDO7ycxmm9kKMztoZifMbGE125xj\nZvPN7F9mdjQw8sxTZtaizKp7geNAmzLz2wBfhvFtiIiIiPjGTXFhS+BVAhydoj6JB34HjAe64/Wa\ng1c0ViEz6wSsBX4B/B2YAeQCE4G/mdlZxes65woC6w4qs5ur8UapkSigmmF/Kd7+Urz9p5j7S/H2\nOOdPL7zi7b9IxTwWkvhJQGfnXHO8EWOq8wzwPeDfnXM3Oucecs79GHgK6AL8ocz6M4BfmNmvzKyr\nmc3Cq4f/7/C9BamLf/zjH5FuQoOiePtL8fafYu4vxTt04ejxLo632ckSHqlfkfqMR30S75zLcM7l\nBH6s8uMY6IW/GtjunJtbZvEU4DAwwsyaltj/YrwvCr8DsvFGpRnsnPsiTG9B6ujAgQORbkKDonj7\nS/H2n2LuL8XbX4q3/yIV86hP4mtoYOC17JCROOcOAR8BzYA+ZZbNc851cM4lOucuK3mTa6T5fYmm\nrser6fbReNnPzzaF41g12UdDj3c4jqd4+3u8WD+nxFq8a7qPaIs3xF7MFW9/jxfr55SS4i2J7xJ4\n3VLJ8q2B184+tCUs9MsBO3bsqFVbaquhJ/HxHO9wHE/x9vd4sX5OibV413Qf0RZviL2Y1ybeVZXd\n1DTedS3hied4h7q+35/xYjE1xKSZpQBpwCLn3B0VLH8WGA2Mds7Nr2D5H4AHgQedc0/UoR2xEzQR\nERERiVmVDTF5it8NiQeVBVNERERExA/xVk7zbeC1eSXLi+frrg8RERERiVnxlsRvCrx2qWR5cS18\nZTXzIiIiIiJRL96S+PTA69VmpUdHNbMzgL5APt5DoHxhZlMDT5ktOf3Lr+M3dGb2YCDmsyPdlnhl\nZuPNbL2ZfRuYPjazwZFuV7wKfKbXBGK9x8z+18x+FOl2xTMzuzIQ57zA+WRUpNsUj8xsXOAJ60fM\n7BMz6xfpNsUzfa79VR/n7rhK4p1zuXjDS3bAe8prSY8ATYGFzrkjPjdtE94DpIqni3w+foNkZn2A\nu4D/TxVP+ZU6+wK4H+gBXIp38/mbZqbPef0YAMwBLgeuAoqAZWZ2ZkRbFd+a4Z1HJgJH0Pkk7Mzs\nFmAm8HsgGe+p6e+bWbuINiy+6XPtr7Cfu6N+dBozuwG4IfBjW2AQkAsUj+X+tXMutcT6HfF++VsD\nb+El0L2BFGAzcIVzbr8vjffaMxUY5pxTQuMjM2sOrAV+BUwFPnXOTYhooxoQM9sHPOCcey7SbYl3\nZtYM736gnznn3o10e+KdmX0HjHfOLYh0W+KJma0C/uGc+3WJeVuA15xzD0WuZQ2DPtf+C8e5OxZG\np7kYuIOT3xAdXk97x8DPO4BgEu+cyzWznsB/AtcCg4F/4X3Df8Q5V3zzq586mtku4BiwCnjIObc9\nAu1oSJ4FljjnMsuWVkn9MbNGwM14PTwfR7g5DUUS3lVV3zonRMLJzE4DLgGmlVn0Id5T1EXiUZ3P\n3VGfxDvnHsErhanJNnnAL+unRTX2d2AU3hWBNsDvgI/N7EfOuW8i2rI4ZWZ34X3JGx6YFd2Xm+JA\noHTmb0Bj4BDwc+fcxsi2qsGYBWTjxV8kFrUCGgG7y8zfg3cFXiQe1fncHVc18ZFkZreb2Xclpr4A\nzrmlzrnXnHMbnHPLgZ/ixV03kNRRRTE3sy7AH4DbnXPHi1cNTFIHlX3GAzYB3YFewDxggW62rJtq\n4l28zgy8nsphLtprI2NAKDEXEamrcJ27G1QSb2Y3mdlsM1thZgcDd2MvrGabc8xsvpn9y8yOBu6c\nf8rMWpRZ9S280p/iaW1F+3PO5QMbgfPD8JaiXgRifjler85GMys0s0LgSmCcmRWY2anhf5fRI1Kf\ncedcoXMu1zmXHahf/QdwT5jfXtSJ5DnFzJ4CbgGucs7tCN+7im7RcB5viOo57nuB43hXq0tqA3wZ\nxrcRU+o55lKGX/EO57k76stpwux3eL2F3wF5wIVUUWphZp3w6nq/B7zJyZtkJwLXmlnf4pIY59wh\nvDKCKplZItAVbwSPhsDXmJvZG8DqkrOAF/CeDfCYc64wPG8rakX8Mx7QCDitlu8hlkQk3mY2C+/e\ng4HOuYb23Ito+Yw3NPUZ9wIzW4s3cMVfSuzmamBJ+N9KzKi3mEuF6j3eYT93O+cazIQ3Qk2nwL8H\nACeABVWs/0FgnfFl5k8PzJ8XwjGfxOsJ7hD4z30H74mx7SIdj3iNeQX7zABmRzoW8Rpv4HGgH9Ae\nb/jU/8LrVbsm0vGI03jPxRvRYCClh65tFul4xHHMm+ENe5iM96yRhwP/bhDncT/iDvwb3uAPv8Lr\n6JoFHGxIMY5AzBv859rneIf93B3xoEX4P6vS/yCgU2B5TgXLTsfrrfkOaFrNcf4HKB6ZJg+vV+HC\nSL//eI55BdumA09H+v3Ha7zxrnTsAI7i3Zj2IXB1pN9/HMf7BN6XpBNlpv+IdAziOOYpJeJcMvbz\nIx2DeIo7MBbYHjiXrAH6Rfq9RstUHzHX59r3eIf93N3QymlqYmDg9cOyC5xzh8zsI7xLfX2oojTG\nOXdb/TQvLoUl5hVsO7D6tRqkcH3G76yf5sWdcMW7Qd3LVEfhinkGDewesjqqVdydc/PwboyXmqtx\nzPW5rpPaxDvssdZ/XuW6BF4rq1naGnjt7ENbGgrF3F+Kt78Ub/8p5pGhuPtPMfdXVMRbSXzlmgde\nK3s4VPF83fEdPoq5vxRvfyne/lPMI0Nx959i7q+oiLeSeBERERGRGKMkvnLF36KaV7K8eP4BH9rS\nUCjm/lK8/aV4+08xjwzF3X+Kub+iIt5K4iu3KfDapZLlxXVODW2M5vqkmPtL8faX4u0/xTwyFHf/\nKeb+iop4K4mvXHrg9Wozs5ILzOwMoC/euKp/97thcUwx95fi7S/F23+KeWQo7v5TzP0VFfFWEl8J\n51wu3tBBHYDxZRY/AjQFFjrnjvjdtnilmPtL8faX4u0/xTwyFHf/Keb+ipZ4W2AA+gbBzG4Abgj8\n2BbvEc+5wMrAvK+dc6kl1u+I90jd1sBbnHykbgqwGbjCObffl8bHKMXcX4q3vxRv/ynmkaG4+08x\n91dMxjvST8XycwKmcPKJWSWn4qdm5VawzTnAfOBfeE9d3Q7MAJpH+v3EwqSYK97xPCneinlDmRR3\nxTzep1iMd4PqiRcRERERiQeqiRcRERERiTFK4kVEREREYoySeBERERGRGKMkXkREREQkxiiJFxER\nERGJMUriRURERERijJJ4EREREZEYoyReRERERCTGKIkXEREREYkxSuJFRERERGKMkngRERERkRij\nJF5ERKpkZilmdqLE9M8abr/DzLbXV/uqOG6rMu0+4XcbRETqyymRboCIiPjLzNoDDwAHgE7Anc65\nQyFsmhGY9tbisK4W29RVPjA18O87gXMj0AYRkXqhJF5EpAEJJPB/AQY753ab2b3AH4CJIWye4Zz7\nz3psXlg5544A/wlgZlehJF5E4ojKaUREGggzOw0vgZ/tnNsdmP0FcEPkWiUiIrWhJF5EpOGYCLQB\nFpWY1xxoZ2aN6rpzM/uNmW00syNmlmdms82seTXb9Daz18zsKzM7ZmY7zey/zez7FaxrZjbRzD4r\ne4xI1d2LiESKymlERBoAM0sE/h8w1zlXVGJR18BrAnC8DvufBfw78C/gj0AR8DOgN3AqcKyCbX4J\nPAscAf4X76rABcBoYIiZ9XHOfVFik7nA3cCuwDEKgaFAL7y/ZwW1bb+ISKxREi8i0jDcCpwFvFpm\nfl/goHOusLY7NrMr8BL4bUAv59yBwPzJQDrwfWBHmW0uAP4byAUGOOe+LLHsKuBDYBZwY2Bef7wE\nfjPQ2zl3MDD/IWAZcHbZY4iIxDMl8SIiDcPPgaPAdDMrnncq0BP4qI77vjPw+ofiBB7AOXfMzB7E\nS+TLGov3N2hiyQQ+sF2amb2N1xvfzDmXD4wqcYyDJdYtDBxjZR3fg4hITFESLyIS5wL17gOA151z\nI0rMvw64ioqT7Jq4BG8IycwKln0EVDQ+++WB1xQz613B8tZAI7zymmygR+AYFSXrq6hDKZCISCxS\nEi8iEv9+ACQBfyszf3DgdUkd91988+rusgucc0VmVtG48i0Dr6lV7NcBp4dwjONmti/EtoqIxAWN\nTiMiEv/aBF4/K55hZqcA/wZkOec21nH/3wZe25ZdEDhOq0q2cUCScy6hkqmRc25FYP3iEpqKjtGI\nk18KREQaBCXxIiLxr3g0mq9KzLsO+B7wcBj2vxYwvJKdsvpR8d+avwW2uTLEY6wLrN+vgmV98Epv\nREQaDCXxIiLxb2fgteTQkr8Fni3R010XLwZeJ5vZmcUzA8Na/lcl28zBGyLyKTPrXHahmZ0WGJGm\n2IISx0gquR7wWB3aLiISk1QTLyIS55xz+8zsY7wx4bcGxmc/FZgQpv1/bGaz8YaZ3GBmf8FL0H8G\n7AO+xOtFL7nN5kA75gMbzWwpsDXQrnOB/nj17z8MrJ9lZs8CYwLrvx44xhBgP9749BXdQCsiEpeU\nxIuINAx3AdMCI9IcAwY658L2cCTn3EQz2wKMx0u09wJvAJOB9Xj172W3ecnM1uNdFRgIDAIO4SXk\niyk/pv1YYBPw68BU8hi7gD3hej8iItHOnCt3XhUREQkysxQgDXjEOfdIhJtTTqAcZzPwP8652ytZ\nJwPo75xT7byIxAXVxIuISKimmNkJM/tnJA5uZm3MLKHMvKbAzMCPb5RZ1irQ3hOEfgOtiEhMUDmN\niIhUZzvwCCdLYioa990P9wC3mVk63kg7bYEf442D/55z7rUy6+dTut0iInFD5TQiIhITzOwq4D4g\nGTgL78bWLcDLwEznnJ7aKiINhpJ4EREREZEYo5p4EREREZEYoyReRERERCTGKIkXEREREYkxSuJF\nRERERGKMkngRERERkRijJF5EREREJMYoiRcRERERiTFK4kVEREREYsz/AQDV0gLxnFDxAAAAAElF\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb9e9f06a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.distribution\n",
"colors = ['b','r','g','k','c','m','y']\n",
"simus = [\"lambda_B=0.01Mpc-mono\",\"lambda_B=1Mpc-mono\",\"lambda_B=100Mpc-mono\"]\n",
"simus = [\"lambda_B=0.01Mpc-mono\",\"lambda_B=0.01Mpc-old\"]\n",
"modules.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e0,2e3],plot='generation')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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ExG2ffmoHEn/zjd12e+rRo8eP8uSKJ3li+ROkZacR5oQxpNMQkhKSaNmwpe8X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\nlk9ERIKOv8cYeNOV6HNgqOM4A0oecBx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17gadyqx8nAfcYox5o0pvbMch7AUGGGM+876I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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f90261d14d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp, savefig\n",
"from matplotlib import gridspec\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from numpy import log10, loadtxt, arange\n",
"from src.analytic import Ee, Delta, Dic, RL, yr\n",
"\n",
"import matplotlib as mpl\n",
"label_size = 20\n",
"mpl.rcParams['xtick.labelsize'] = label_size \n",
"mpl.rcParams['ytick.labelsize'] = label_size \n",
"\n",
"#fig = figure(figsize=(12,9))\n",
"#ax = fig.add_subplot(111,projection='3d') \n",
"\n",
"fig1 = figure(figsize=(12,12))\n",
"gs = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"fig1.subplots_adjust(hspace=0)\n",
"ax1 = fig1.add_subplot(gs[0])\n",
"ax2 = fig1.add_subplot(gs[1],sharex=ax1)\n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_LB.dat\")\n",
"dt_mean = loadtxt(\"Results/delay_mean_vs_LB.dat\")\n",
"\n",
"Redshifts = theta_mean[1:,0]\n",
"LB = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"marks = ['D','*','o','^','v']\n",
"nLB = 5000\n",
"LBmin = 1e-4\n",
"LBmax = 1e4\n",
"L = LBmin*(LBmax/LBmin)**(arange(nLB)/(nLB-1.))\n",
"for z in Redshifts:\n",
" #p=ax.plot(theta_mean[i,1:],log10(dt_mean[i,1:]),log10(LB),\":*\",label=\"z=%1.2f\"%z)\n",
" p=ax1.plot(LB,theta_mean[i,1:],'-',marker=marks[i-1],markersize=10,linewidth=2)\n",
" #ax1.plot(L,Delta(Ee(1000,float(z)),1e-15,L,float(z)),linestyle='-',color=p[0].get_color())\n",
" #ax1.axvline(x=Dic(Ee(1000,float(z)),float(z)),ymin=0.,ymax=10.,color=p[0].get_color(),linestyle='--')\n",
" ax2.plot(LB,dt_mean[i,1:],'-',marker=marks[i-1],markersize=10,color=p[0].get_color(),linewidth=2,label=\"z=%1.2f\"%z)\n",
" i+=1\n",
"\n",
"#ax.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"#ax.set_xlabel(\"$\\\\theta$ [deg]\",fontsize=\"x-large\")\n",
"#ax.set_ylabel(\"Time delay [yrs]\",fontsize=\"x-large\")\n",
"#ax.set_zlabel(\" log $\\\\lambda_B$ [Mpc]\",fontsize=\"x-large\")\n",
"\n",
"ax1.set_xscale('log') \n",
"ax1.set_yscale('log')\n",
"#ax1.set_ylim([5e-3,10])\n",
"ax1.grid(b=True,which='major')\n",
"#ax1.legend(loc=\"best\")\n",
"ax1.set_xlabel(\"$\\\\lambda_B$ [Mpc]\",fontsize=\"xx-large\")\n",
"ax1.set_ylabel(\"$\\\\theta_{avg}$ [deg.]\",fontsize=\"xx-large\")\n",
"xticklabels = ax1.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax2.set_xscale('log') \n",
"ax2.set_yscale('log')\n",
"#ax2.set_ylim([1e4,5e7])\n",
"ax2.grid(b=True,which='major')\n",
"ax2.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"ax2.set_xlabel(\"$\\\\lambda_B$ [Mpc]\",fontsize=\"xx-large\")\n",
"ax2.set_ylabel(\"$\\\\Delta t_{avg}$ [yrs]\",fontsize=\"xx-large\")\n",
"\n",
"savefig(\"Figures_saved/mean_Dt_theta_vs_LB.eps\",bbox_inches='tight') \n",
"\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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n+D3MKX4Pc4oRSxOdUxxJT/EFkloifUMAQJzyet2OAFFSVeV2BEgl3tO5dgwq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\nTERERERERG6LnWIiIiIiIiJyW/8fa+1AEENtrTUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fce99802650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from matplotlib import gridspec\n",
"from numpy import arange\n",
"from modules.analytic import Ee, RL, lambdaIC, Dic\n",
"\n",
"fig = figure(figsize=(16,12))\n",
"gs = gridspec.GridSpec(2, 1, height_ratios=[1,3]) \n",
"fig.subplots_adjust(hspace=0.001)\n",
"ax1 = fig.add_subplot(gs[0])\n",
"ax2 = fig.add_subplot(gs[1],sharex=ax1)\n",
"\n",
"nz = 5000\n",
"zmin = 2.3e-3\n",
"zmax = 4.\n",
"z = zmin*(zmax/zmin)**(arange(nz)/(nz-1.))\n",
"\n",
"ax1.plot(z,Ee(1000,z)*1e-3 ,color='k',linestyle='-' ,label=\"$E_\\gamma = 1$TeV / $E_e$ ~ %1.1f TeV\"%(Ee(1000)*1e-3))\n",
"ax1.plot(z,Ee(1,z)*1e-3 ,color='k',linestyle='--',label=\"$E_\\gamma = 1$GeV / $E_e$ ~ %1.1f TeV\"%(Ee(1)*1e-3))\n",
"ax2.plot(z,RL(Ee(1000,z),1e-15),color='k',linestyle='-' ,label=\"$E_\\gamma = 1$TeV / $R_L$ ~ %1.1f Mpc\"%(RL(Ee(1000),1e-15)))\n",
"ax2.plot(z,RL(Ee(1,z),1e-15) ,color='k',linestyle='--',label=\"$E_\\gamma = 1$GeV / $R_L$ ~ %1.1f Mpc\"%(RL(Ee(1),1e-15)))\n",
"ax2.plot(z,Dic(1000,z) ,color='b',linestyle='-')\n",
"ax2.plot(z,lambdaIC(z) ,color='r',linestyle='-')\n",
"\n",
"label=\"z=0.0308 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.0308),lambdaIC(0.0308)*1e3)\n",
"ax1.axvline(x=0.0308,ymin=0.,ymax=10.,color='r',linestyle='--')\n",
"ax2.axvline(x=0.0308,ymin=0.,ymax=10.,color='r',linestyle='--',label=label)\n",
"label=\"z=0.1 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.1),lambdaIC(0.1)*1e3)\n",
"ax1.axvline(x=0.1 ,ymin=0.,ymax=10.,color='b',linestyle='--')\n",
"ax2.axvline(x=0.1 ,ymin=0.,ymax=10.,color='b',linestyle='--',label=label)\n",
"label=\"z=0.5 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.5),lambdaIC(0.5)*1e3)\n",
"ax1.axvline(x=0.5 ,ymin=0.,ymax=10.,color='g',linestyle='--')\n",
"ax2.axvline(x=0.5 ,ymin=0.,ymax=10.,color='g',linestyle='--',label=label)\n",
"label=\"z=1 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,1),lambdaIC(1)*1e3)\n",
"ax1.axvline(x=1 ,ymin=0.,ymax=10.,color='m',linestyle='--')\n",
"ax2.axvline(x=1 ,ymin=0.,ymax=10.,color='m',linestyle='--',label=label)\n",
"label=\"z=2 - $D_{ic}$ = %1.2f kpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,2)*1e3,lambdaIC(2)*1e3)\n",
"ax1.axvline(x=2 ,ymin=0.,ymax=10.,color='c',linestyle='--')\n",
"ax2.axvline(x=2 ,ymin=0.,ymax=10.,color='c',linestyle='--',label=label)\n",
"\n",
"\n",
"ax1.set_title(\"B=$10^{-15}$G\",fontsize=\"x-large\")\n",
"\n",
"ax1.set_xscale('log') \n",
"ax1.set_yscale('log')\n",
"ax1.set_ylim([0.2,40])\n",
"ax1.grid(b=True,which='major')\n",
"ax1.legend(loc=\"best\")\n",
"ax1.set_ylabel(\"$E_e$ [TeV]\",fontsize=\"x-large\")\n",
"xticklabels = ax1.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax2.set_xscale('log') \n",
"ax2.set_yscale('log')\n",
"#ax2.set_ylim([0.2,40])\n",
"ax2.grid(b=True,which='major')\n",
"ax2.legend(loc=\"best\")\n",
"ax2.set_ylabel(\"$R_L$ / $D_{ic}$ (blue) / $\\lambda_{ic}$ (red) [Mpc]\",fontsize=\"x-large\")\n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$R_L$ ne dรฉpend pas du redshift (z) en premiรจre approximation \n",
"\n",
"| $\\lambda_B $ | $>R_L$ = 19 Mpc | $< R_L$ = 0.6 Mpc |\n",
"|:------------:|:--------------------------------:|:--------------------------------:|\n",
"| $>D_{ic}(z)$ | leptons coincรฉs dans une cellule | leptons coincรฉs dans une cellule |\n",
"| $<D_{ic}(z)$ | leptons coincรฉs dans une cellule | isotropisation (~) |\n",
"\n",
"\n",
"* $\\theta_{mean}$: si cas \"leptons coincรฉs dans une cellule\" => dรฉflexion moyenne tout le temps la mรชme (haute) \n",
"* $\\theta_{mean}$: si cas \"isotropisation\" => dรฉflexion moyenne plus basse\n",
"\n",
"rรฉsultats trรจs diffรฉrents des estimations analytiques!"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Halo size Versus EGMF"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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O1Z/qczac+XAiIiIiilRcZ76FEHkA/iCl/Gbv/lUAVkopr+3d19YmfRTegfrn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\n565TLp2i5hvVa0OfbwBAQ3X6B8s5ss61Qe6qkgpXwtvQIzx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ORd7xyDwWfb4BAADabDDY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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fceb889f790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.arrival_angle\n",
"modules.arrival_angle.drawArrivalAngle([\"EGMF=1e-14G\",\"EGMF=1e-15G\",\"EGMF=1e-16G\",\"EGMF=1e-17G\",\"EGMF=1e-18G\"])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 0.00e+00 1.00e-12 1.00e-13 1.00e-14 1.00e-15 1.00e-16\n",
" 1.00e-17 1.00e-18]\n",
" [ 4.00e-02 5.45e-01 8.03e-01 2.74e+00 1.30e-01 4.19e-03\n",
" 3.31e-03 2.28e-03]\n",
" [ 1.40e-01 1.48e-01 1.62e-01 1.21e-01 1.69e-01 8.87e-04\n",
" 1.01e-03 9.89e-04]\n",
" [ 4.00e-01 1.40e-02 3.16e-01 9.10e-03 7.44e-04 1.83e-04\n",
" 2.43e-04 2.58e-04]\n",
" [ 1.00e+00 1.28e-03 1.57e-03 6.50e-04 1.22e-04 6.72e-05\n",
" 9.30e-05 8.11e-05]\n",
" [ 2.00e+00 1.64e-04 1.92e-04 4.56e-05 2.66e-05 5.09e-05\n",
" 7.00e-05 4.70e-05]]\n"
]
}
],
"source": [
"from numpy import zeros, size, nditer, average, savetxt, set_printoptions\n",
"from matplotlib.pyplot import figure, show\n",
"from modules.read import select_events\n",
"from modules.analytic import degre, yr\n",
"\n",
"Redshifts=[\"0.04\",\"0.14\",\"0.4\",\"1\",\"2\"] \n",
"EGMFs=[\"12\",\"13\",\"14\",\"15\",\"16\",\"17\",\"18\"]\n",
"\n",
"theta_mean = zeros((size(Redshifts)+1,size(EGMFs)+1))\n",
"\n",
"def compute_mean_delay_and_theta(i,j):\n",
" if i==0:\n",
" theta_mean[i,0] = 0\n",
" theta_mean[i,j] = 10**(-float(EGMFs[j-1])) \n",
" else:\n",
" theta_mean[i,0] = Redshifts[i-1]\n",
" fileId=\"Simulations/z=\"+Redshifts[i-1]+\"/EGMF=1e-\"+EGMFs[j-1]+\"G\"\n",
" weight, energy, time, theta_arrival, theta, phi, gen = select_events(fileId,Erange=[1,1e3],delayrange=[1e-4*yr,10*yr],powerlaw_index=1.2)\n",
" theta_mean[i,j]=average(theta_arrival,weights=weight)/degre\n",
"\n",
"it=nditer(theta_mean, flags=['multi_index'], op_flags=['readwrite'])\n",
"while not it.finished:\n",
" compute_mean_delay_and_theta(it.multi_index[0],it.multi_index[1]) \n",
" it.iternext()\n",
"\n",
"savetxt(\"Results/theta_mean_vs_EGMF-bis.dat\", theta_mean, fmt='%1.4e')\n",
"\n",
"set_printoptions(precision=2)\n",
"print(theta_mean)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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J1to1mR8LvRiZrQIdgbW5A4FMo4D9wN+NMTVzHf+/wIPA48Ay3ChC1xcUCIi3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\n7do10MWRYlLOgIiISBl4552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334WuXV3rwFtv4a+oOCB/O5OSXECwezfcfDO88w5UUXe4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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4c70f72590>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from numpy import log10, loadtxt\n",
"from src.analytic import Ee, Delta, pi\n",
"\n",
"ax = figure(figsize=(12,9)).add_subplot(111) \n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_EGMF-bis.dat\")\n",
"Redshifts = theta_mean[1:,0]\n",
"B = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"for z in Redshifts: \n",
" ax.plot(B,theta_mean[i,1:],'-*',linewidth=2,label=\"z=%1.2f\"%z) \n",
" i+=1\n",
"\n",
"ax.axhline(y=0.5,color=\"k\",linewidth=2,linestyle=\"--\")\n",
" \n",
"ax.set_xscale('log') \n",
"ax.set_yscale('log')\n",
"#ax.set_ylim([0.8e-3,20])\n",
"ax.grid(b=True,which='major')\n",
"ax.legend(loc=\"best\")\n",
"ax.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"ax.set_ylabel(\"average arrival angle [degre]\",fontsize=\"x-large\")\n",
"\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}