diff --git a/tutorials/beaming_boosting.ipynb b/tutorials/beaming_boosting.ipynb index 64a0f07..06d033a 100644 --- a/tutorials/beaming_boosting.ipynb +++ b/tutorials/beaming_boosting.ipynb @@ -7,41 +7,17 @@ "Beaming and Boosting\n", "============================\n", "\n", - "Due to concerns about accuracy, support for Beaming & Boosting has been disabled as of the 2.2 release of PHOEBE (although we hope to bring it back in a future release)." + "Due to concerns about accuracy, support for interpolated Beaming & Boosting was disabled in the version 2.2 release of PHOEBE (for details of why, please see previous versions of this tutorial page). In version 2.5, we return support for boosting with manual boosting factors." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "It may come as surprise that support for Doppler boosting has been dropped in PHOEBE 2.2. This document details the underlying causes for that decision and explains the conditions that need to be met for boosting to be re-incorporated into PHOEBE.\n", + "Setup\n", + "-----------------------------\n", "\n", - "Let's start by reviewing the theory behind Doppler boosting. The motion of the stars towards or away from the observer changes the amount of received flux due to three effects:\n", - "\n", - "* the spectrum is Doppler-shifted, so the flux, being the passband-weighted integral of the spectrum, changes;\n", - "* the photons' arrival rate changes due to time dilation; and\n", - "* radiation is beamed in the direction of motion due to light aberration.\n", - "\n", - "It turns out that the combined boosting signal can be written as:\n", - "\n", - "$$ I_\\lambda = I_{\\lambda,0} \\left( 1 - B(\\lambda) \\frac{v_r}c \\right), $$\n", - "\n", - "where $I_{\\lambda,0}$ is the intrinsic (rest-frame) passband intensity, $I_\\lambda$ is the boosted passband intensity, $v_r$ is radial velocity, $c$ is the speed of light and $B(\\lambda)$ is the boosting index:\n", - "\n", - "$$ B(\\lambda) = 5 + \\frac{\\mathrm{d}\\,\\mathrm{ln}\\, I_\\lambda}{\\mathrm{d}\\,\\mathrm{ln}\\, \\lambda}. $$\n", - "\n", - "The term $\\mathrm{d}(\\mathrm{ln}\\, I_\\lambda) / \\mathrm{d}(\\mathrm{ln}\\, \\lambda)$ is called spectral index. As $I_\\lambda$ depends on $\\lambda$, we average it across the passband:\n", - "\n", - "$$ B_\\mathrm{pb} = \\frac{\\int_\\lambda \\mathcal{P}(\\lambda) \\mathcal S(\\lambda) B(\\lambda) \\mathrm d\\lambda}{\\int_\\lambda \\mathcal{P}(\\lambda) \\mathcal S(\\lambda) \\mathrm d\\lambda}. $$\n", - "\n", - "In what follows we will code up these steps and demonstrate the inherent difficulty of realizing a robust, reliable treatment of boosting." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's first make sure we have the latest version of PHOEBE 2.4 installed (uncomment this line if running in an online notebook session such as colab)." + "Let's first make sure we have the latest version of PHOEBE 2.5 installed (uncomment this line if running in an online notebook session such as colab)." ] }, { @@ -50,7 +26,7 @@ "metadata": {}, "outputs": [], "source": [ - "#!pip install -I \"phoebe>=2.4,<2.5\"" + "#!pip install -I \"phoebe>=2.5\"" ] }, { @@ -62,274 +38,235 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import phoebe\n", "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from astropy.io import fits" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Pull a set of Sun-like emergent intensities as a function of $\\mu = \\cos \\theta$ from the Castelli and Kurucz database of model atmospheres (the necessary file can be [downloaded from here](http://phoebe-project.org/static/T06000G40P00.fits)):" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "wl = np.arange(900., 39999.501, 0.5)/1e10\n", - "with fits.open('T06000G40P00.fits') as hdu:\n", - " Imu = 1e7*hdu[0].data" + "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Grab only the normal component for testing purposes:" + "Set-up a binary that will have different boosting factors (in order to see the impact)" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ - "Inorm = Imu[-1,:]" + "b=phoebe.default_binary()\n", + "b.set_value(qualifier='sma', component='binary', value=9.)\n", + "b.set_value(qualifier='q', component='binary', value=0.5)\n", + "b.set_value(qualifier='requiv', component='primary', value=3.8)\n", + "b.set_value(qualifier='requiv', component='secondary', value=2.5)\n", + "b.set_value(qualifier='teff', component='primary', value=16000)\n", + "b.set_value(qualifier='teff', component='secondary', value=11000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Now let's load a Johnson V passband and the transmission function $P(\\lambda)$ contained within:" + "Now let's add a light curve dataset (boosting factors are per dataset, so we need to add a dataset before setting the boosting factors)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 4, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "pb = phoebe.get_passband('Johnson:V')" + "b.add_dataset('lc',times=np.linspace(0,1,101))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Tesselate the wavelength interval to the range covered by the passband:" + "These stars are roughly B5 and A0 main sequence stars. With logg of about 4 and 5 respectively, so let's set the boosting m factors based on the tables of Claret et al. (2020). https://vizier.cds.unistra.fr/viz-bin/VizieR?-source=J/A%2BA/641/A157" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ - "keep = (wl >= pb.ptf_table['wl'][0]) & (wl <= pb.ptf_table['wl'][-1])\n", - "Inorm = Inorm[keep]\n", - "wl = wl[keep]" + "b.set_value_all('boosting_method','manual')\n", + "b.set_value(qualifier='boosting_index', component='primary', value=1.7332)\n", + "b.set_value(qualifier='boosting_index', component='secondary', value=2.2841)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Calculate $S(\\lambda) P(\\lambda)$ and plot it, to make sure everything so far makes sense:" + "Run the model" ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 6, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|████████████████████████████████████████| 101/101 [00:00<00:00, 107.87it/s]\n" + ] + }, { "data": { - 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\n", 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" + "" ] }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "plt.plot(wl, Inorm*pb.ptf(wl), 'b-')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's compute the term $\\mathrm{d}(\\mathrm{ln}\\, I_\\lambda) / \\mathrm{d}(\\mathrm{ln}\\, \\lambda)$. First we will compute $\\mathrm{ln}\\,\\lambda$ and $\\mathrm{ln}\\,I_\\lambda$ and plot them:" + "b.run_compute(model='boosting')" ] }, { "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [], - "source": [ - "lnwl = np.log(wl)\n", - "lnI = np.log(Inorm)" - ] - }, - { - "cell_type": "code", - "execution_count": 24, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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zZmnkyJFO1x04cECXXnqpXnnlFcYjwesyMzN1ySWX6I033nC6rl69epo9e7buvPPOgDtphSddd911mjJlilN9/vz5uuWWWwjAcCuemYAbHDlyRFdeeaW2b99uqteuXVuzZ88OmFOWeltYWJgee+wxTZs2zekMUaWlpXrkkUf0j3/8Q3l5eTZ1iGDzww8/qH///lq5cqXTdWeeeaYWLVrk8hMLnNqwYcP01FNPOdW/+OILjRo1SqWlpTZ0hUBE+AVq6NixY7rmmmucTsv71zizdu3a2dRZ4Bg6dKi+/PJLNW7c2Om6zz//XOeff742b95sQ2cIFoZh6IUXXtDll1+ugwcPOl1/44036osvvlBqaqoN3QWOv//973riiSec6nPnztW4ceP4pAduQfgFaqCwsFA33nijVq1aZapHR0dr5syZOvPMM23qLPB06dJFCxcu1Hnnned03bZt23TBBRdwWmR4xNGjRzV8+HBNnDjRaYxZVFSUpk2bpmeeecbp0wlUzy233KKJEyc61adPn+5yZRioKsIvUE0lJSW69dZbtXjxYlM9IiJC7733ns4++2x7GgtgdevW1YwZM3T//fc7nRb5+PHjGjVqlMaMGaOCggKbOkSgWbt2rfr37+9yjFmzZs20YMECDR061IbOAtuoUaP08MMPO9WffvppvfnmmzZ0hEDiV+F3yZIlGjx4sFJSUuRwOPTpp5+e9PZz5szR+eefr8TERMXHx6tHjx76z3/+451mEdDKyso0duxYffnll6Z6SEiIXn/9dfXt29eexoJASEiI7r33Xn300UeqU6eO0/Xvv/++Bg0a5HL0FFBZhmHorbfe0kUXXeR0EKskDRgwQAsXLlT79u1t6C443HnnnfrnP//pVB83bpzmzJljQ0cIFH4VfvPz89WpUydNmzatUrdfsmSJzj//fM2fP1+rV69Wv379NHjwYK1du9bDnSKQGYah8ePH68MPP3S67vnnn9ff/vY3G7oKPv3796/wtMjr169X//799fnnn9vQGfxdXl6ebrrpJt1///1Oc2ZDQkL00EMP6f3331dCQoJNHQYHh8OhRx991Gll3TAM3Xbbbfruu+9s6gz+zmH46e5xh8OhuXPn6tJLL63S/dq1a6ehQ4dq/Pjxlb5Pbm6uEhISlJOTw8xGaMqUKS4PyJg0aZLLVQp4VlFRkR599FG99tprLq8fMWKEJk2apKioKC93Bn+UkZGhm2++WTt37nS6LikpSa+//rp69+5tQ2fBq7i4WMOGDdM333xjqkdHR2vOnDnq1q2bTZ3B11Q2r/nVym9NlZWVKS8vT3Xr1j3p7QoLC5Wbm2v6AqQ/D7hwFXzvvvtugq9NIiIi9Pjjj2v69OmKjY11uv7tt9/WgAEDtHXrVhu6g78wDEOvvfaaBg4c6DL49u7dW9999x3B1wbh4eF66623nI6jOH78uK6++mpt2rTJps7gr4Iq/D7zzDM6duyYrrrqqpPebvLkyUpISCj/cjVeCcFn7ty5uv/++53qN910kx544AEbOsL/uvjii7Vo0SKXezA3bNig8847TzNnzrShM/i6w4cP64YbbtBDDz3kdDIFh8Ohu+++W5988omSk5Nt6hDR0dH64IMP1LZtW1P96NGjuuKKK/T777/b1Bn8UdCE3w8//FCPPvqoZs2apaSkpJPedty4ccrJySn/2rNnj5e6hK9atGiRRo0a5TRj8vLLL9cTTzzhNHkA9mjRooW++uor3XjjjU7XHT9+XKNHj9bo0aOd9nEieC1fvlx9+/bVggULnK6rX7++Zs2apXHjxik0NNSG7vC/EhISNGvWLKfTxGdnZ+uKK67QgQMH7GkMficowu/MmTN10003adasWUpPTz/l7SMjIxUfH2/6QvBauXKlbrzxRqcVofT0dL300kucwtTH1KpVS88884zeeustxcXFOV0/c+ZM3XnnnU7zWhF8li5dqiFDhmj//v1O151zzjlavHix+vXrZ0NnqEiDBg00e/Zsp0WsnTt36qqrrlJOTo5NncGfBPyr9owZMzRixAjNmDFDF110kd3twM9s2rRJ11xzjY4fP26qp6Wlafr06QoPD7epM5zKJZdcosWLF7s80cjHH3+sRx991Iau4Cs2bNigG264weU0hwcffFCzZ89WgwYNbOoOJ9OsWTPNnj3badrGr7/+quuuu87p7zVg5Vfh99ixY8rIyFBGRoakP9/pZWRklM9gHDdunIYNG1Z++w8//FDDhg3Ts88+q7S0NGVlZSkrK4t3hqiU3bt368orr9TRo0dN9Xbt2unDDz9UdHS0PY2h0po2baovv/xSo0aNcrpu2rRpevnll23oCnbbu3evhg4dqry8PFM9JSVFn3/+ucaOHcs2Bx/Xtm1bzZgxQ7Vq1TLVf/75Z910001On9QB/8uvwu+qVavUpUsXdenSRZI0duxYdenSpXxsWWZmpmkY+euvv66SkhLddtttatiwYfnXnXfeaUv/8B8HDx7U5ZdfrqysLFO9efPmmjVrFvM9/UhERIQmTpyo++67z+m68ePHa/bs2TZ0BbscOXJEV111ldNzu3Xr1lq0aBFnZvQj3bt31zvvvOP0CdzXX3/N1iaclN/O+fUm5vwGl7y8PF188cVav369qZ6UlKT58+c7HWwB/2AYhu655x69++67pnp4eLhmzJjBWfmCQEFBga644gotX77cVE9OTtaCBQuY7OOn5s6dq1tuucXpgOSRI0dq0qRJHJAcRJjzC1TDiRMndP311zsF3/j4eH388ccEXz/mcDj01FNPadCgQaZ6cXGxhg8fro0bN9rUGbyhtLRUI0eOdAq+cXFx+uijjwi+fmzIkCH6v//7P6f6q6++qqlTp9rQEXwd4Rf4/0pKSnTrrbfqxx9/NNWjoqL0wQcfqF27djZ1BncJDQ3Va6+95vTRdn5+vh588EGbuoI3vP3225o3b56pFh4ernfffdflbGj4l7///e8u57A/9thjTp/2AIRfQH9+JH733Xc7vTiGhobqrbfeUo8ePWzqDO5Wq1Yt/fvf/9YZZ5xhqi9dulQrVqywqSt4UkFBgaZMmeJUnzZtmvr06WNDR/CEe+65RzfddJPL+meffWZDR/BVhF9A0sSJE/XBBx841V944QUNGDDAho7gSbVr19Z7773ndES/q4AE//fBBx84nQDhwQcf1GWXXWZTR/AEh8OhJ554wulxNQxDI0eO1MKFC23qDL6G8Iug98ILL+jFF190qk+aNElDhw61oSN4Q/PmzXXllVeaat9++235KEUEhsLCQqd9nw0bNtRtt91mU0fwpJCQEL300kvq37+/qV5cXKwbb7xRy5Yts6kz+BLCL4La+++/r4kTJzrVx4wZo3/+8582dARvuvPOO52OBGf1N7B8+OGHyszMNNXuuOMORUZG2tQRPC0iIkJvv/22unfvbqoXFBTommuu4Q0uCL8IXl988YXuvvtup/rw4cM5+ClItG7dWpdeeqmpNn/+fCY/BIiioiKnVd+kpCRdf/31NnUEb4mJidGMGTOcDmY8duyYhg4dqt9++82mzuALCL8ISj///LNuvfVWpyHol1xyiZ566inmQgaRMWPGONWee+45GzqBu3300Ufau3evqXb77bc7nRUMgSkhIUEff/yxWrZsaar/8ccfuuyyy0wnxUJwIfwi6BQVFemuu+5SUVGRqd6vXz+98sornNY0yLRt29Zp9u+nn36qrVu32tQR3KG4uFjPP/+8qZaYmKjhw4fb0xBskZiYqDlz5qhRo0amelZWlssFEAQHwi+Czuuvv65t27aZat26ddPbb7+tiIgIm7qCncaOHWu6bBgGw/H93OzZs/X777+baqNGjVJ0dLRNHcEuqampmj17thITE031lStXatasWTZ1BTtxeuNK4PTGgSMrK0tpaWnKz88vr9WtW1fLli1TvXr1bOwMdrv66qv17bffll8ODQ3VihUr1LRpUxu7QnWUlJSoR48e2rlzZ3mtbt26WrNmjWJjY23sDHb69ddfNXDgQBUUFJTXkpKStHz5csXFxdnYGdyF0xsDLjz22GOm4Cv9Oe+T4AvrwY+lpaV64YUXbOoGNTFnzhxT8JX+XPUl+Aa39u3b68477zTVDhw4oKefftqmjmAXVn4rgZXfwLBq1SpdeOGFplqHDh307bffss8XkqQhQ4bohx9+KL8cExOjjRs3KiYmxsauUFXnn3++1q5dW365du3aWrt2Lat70IkTJ9SrVy/TlpiwsDAtWbJEp512mo2dwR1Y+QX+R1lZmR544AGn+pNPPknwRTnrqlB+fr7mz59vUzeojq1bt5qCryTdcsstBF9IkqKiojRp0iRTraSkRA8++KBYCwwehF8EhQ8//NBpsPkVV1yhtLQ0exqCT+rTp49SUlJMtdmzZ9vUDarD+ng5HA7m+sJk4MCBTmeAW7x4MW90gwjhFwEvJydHjz32mKkWExOjCRMm2NQRfFVISIiuuOIKU+27775Tdna2TR2hKsrKyvTxxx+bar1793Z6Q4Pg5nA49Pjjjys8PNxUf+SRR0wHwyFwEX4R8J555hkdOnTIVLv77rvVsGFDmzqCL7vyyitNl8vKyjRnzhybukFVLF++3OnEBVdddZVN3cCXtW7dWiNHjjTVdu/erRdffNGmjuBNhF8EtBMnTuj999831Zo3b65bb73Vpo7g68444wx16NDBVGMWqH+wPk61atXS3/72N5u6ga8bO3askpOTTbVp06bp+PHjNnUEbyH8IqAtXrxYx44dM9UeffRRRUZG2tQR/IF19Xf9+vXavHmzTd2gMk6cOKHPPvvMVBs4cCAHuqFCcXFx+te//mWq5efna9GiRfY0BK8h/CKgffHFF6bL9erV0wUXXGBTN/AXl112mUJCzH8erXtJ4Vu+/vpr5ebmmmrWNzGA1WWXXaakpCRT7fPPP7epG3gL4RcBq6ioSF999ZWpNmjQIIWFhdnUEfxFgwYNdO6555pqs2fPVllZmU0d4VSsb04SExPVr18/m7qBvwgNDdVFF11kqn399dcqLCy0qSN4A+EXAWvJkiVOK0EXX3yxTd3A31hXDfft26cff/zRpm5wMocPHzadmlr6c0WPN7qojMGDB5suHzt2TIsXL7anGXgF4RcBy7rloXbt2urdu7dN3cDfXHTRRU5ndmPmr2/69NNPVVxcbKqx5QGV1bNnT9WtW9dU+/LLL23qBt5A+EVAKi4udhpYPmjQIKe5jkBFYmJiNGjQIFPt888/Zw6oD7JOeTjttNPUqVMnm7qBvwkLC9PAgQNNta+++srpDRUCB+EXAemnn37SkSNHTDVGHqGqrDNi8/LytGDBApu6gSvbt2/XqlWrTLWrrrpKDofDpo7gj6xbH44ePaqlS5fa1A08jfCLgGQ9WjcuLs7pACbgVPr06eN0JDgzf32Lq60ol19+uQ2dwJ/16dNH8fHxppp16xwCB+EXAae0tFTz5s0z1S688EJm+6LKQkNDnYLUokWLlJOTY1NH+F+GYeiTTz4x1Xr27KnGjRvb1BH8VUREhC688EJTbf78+SotLbWpI3gS4RcBZ9myZU6nM7Z+pAVU1hVXXGG6XFpaqu+++86mbvC/tm3bph07dphqHOiG6rJujTt06JCWLVtmUzfwJMIvAo71o6qYmBjmfaLaOnbsqJSUFFPtm2++sakb/C/r4+BwOJwOXAIqq1+/fk4TXpj6EJgIvwgoZWVlTuH3ggsuUK1atWzqCP7O4XAoPT3dVFu4cCEfh/oAa/g988wzVb9+fZu6gb+rVauWzj//fFPtiy++4OQ2AYjwi4CyYsUKHThwwFRjywNqyvqCeOjQIa1du9ambiD9OXnD+pG09XECqsr6epGdne00TQT+j/CLgGJd9a1Vq5bOO+88m7pBoOjTp4/TAZNsfbDXd999p5KSElPtggsusKkbBIrzzjtPUVFRphpTHwIP4RcBwzAMpz9S6enpTnu4gKqKiYlRr169TLWvv/7apm4gOb/5aNCggTp06GBTNwgUsbGxTgsmX375pQzDsKkjeALhFwFjy5Yt2r9/v6nGlge4i/Uj9fXr1yszM9OmboJbWVmZvv32W1MtPT2dE1vALaxTH/bs2aNff/3Vpm7gCYRfBAzr/j+Hw8GWB7iNq/2k1gAG78jIyNDBgwdNNbY8wF0GDBig0NBQU42RZ4GF8IuAYf3j1L59eyUkJNjUDQJNs2bNdNppp5lq7Pu1h/XfPSIiQn369LGpGwSa+Ph4dezY0VT7+eefbeoGnkD4RUAwDMMp/J599tk2dYNAZV39/f7771VYWGhTN8HLGn579uyp2NhYm7pBIOrRo4fp8rJly9j3G0AIvwgIu3fvdtp/af3jBdSUNfzm5+fzcaiXZWdnKyMjw1RjywPczbp4cvDgQW3bts2mbuBuhF8EBFcBhJVfuFtaWpri4+NNNbY+eJerfdbM94W7uXr9YOtD4CD8IiBYw2/Lli2VlJRkUzcIVOHh4U6nymbkmXdZ32y0atVKzZs3t6kbBKq6devqjDPOMNX4lCdwEH4REH766SfTZbY8wFOsq4w7d+7k41AvKSoq0uLFi001Vn3hKdbVX8Jv4CD8wu9lZWVp586dplrPnj1t6gaB7rzzznOaJ8vWB+/4+eefdezYMVON8AtPsS6i7NmzR3v37rWpG7gT4Rd+z9U+LPb7wlMSExPVpUsXU43w6x3WLSaxsbE81+Exrj5BZPU3MBB+4fesf4xSU1PVuHFjm7pBMLCuNi5btkx5eXk2dRM8rG8y+vfvr4iICJu6QaBr2LChmjVrZqoRfgMD4Rd+z7ry26NHD05zCo+yjtYqLi7Wjz/+aFM3wWH37t3avn27qcaWB3iadfWXiQ+BgfALv3bkyBFt3LjRVONjUHhax44dVa9ePVNt6dKlNnUTHFz9+1onbwDuZn09+e2335xOrQ3/Q/iFX1u+fLnTWXc42A2e5nA41KtXL1ONlV/Psobf1q1bq0GDBjZ1g2Dhat/v8uXLbegE7kT4hV+z7r+qV6+eWrdubVM3CCa9e/c2Xf7111915MgRm7oJbIZhOL25sP77A57QvHlzJScnm2rs+/V/hF/4Nfb7wi7W8GUYhtO8abjHrl27tG/fPlPNuvIOeILD4WDebwAi/MJvHTt2TL/88oupxn5feEvr1q2dziLIvl/PcPXvSviFt1i30v36669Md/FzhF/4rdWrV6ukpMRU48xu8BZX+34Jv55h3fJw+umnKzEx0aZuEGysrytlZWVasWKFTd3AHQi/8FvWj55iY2PVvn17m7pBMDrnnHNMlzdt2qRDhw7Z1E1gMgzD6U0Fq77wptNPP121a9c21dj64N8Iv/Bb1j8+aWlpCg0NtakbBCNXB10x9cG9tm/frqysLFONg93gTSEhIUpLSzPVCL/+jfALv1RYWKjVq1ebamx5gLc1b95cKSkpphpbH9zL1ZsJxhnC26zHk6xdu1YFBQU2dYOaIvzCL61bt04nTpww1Qi/8DaHw+G0Ckn4dS/rv2fbtm2dTjACeJr1DVdRUZHTAgz8B+EXfsk65SE8PFydO3e2pxkENWv43bp1q9PH9Kge5vvCV3Ts2FHR0dGm2po1a2zqBjVF+IVfWr9+venyGWecocjISJu6QTBzFcZY/XWPbdu26cCBA6Ya4Rd2CA8PV4cOHUw16+sQ/AfhF35p3bp1psvWP0qAtzRp0kRNmjQx1Qi/7vHDDz+YLjscDrY3wTYdO3Y0Xba+DsF/EH7hdwoLC7V582ZTzfpHCfAm62okEx/cw/rv2L59e9WpU8embhDsrIssO3bs4GQXforwC7+zefNmFRcXm2qEX9jJGn537tzpdDpeVI2r/b7M94WdrK8zhmFow4YNNnWDmvCr8LtkyRINHjxYKSkpcjgc+vTTT096+8zMTF177bU67bTTFBISorvuussrfcKzrPusHA6H2rZta1M3APt+PWHLli1OJwwh/MJObdq0UUREhKnG1gf/5FfhNz8/X506ddK0adMqdfvCwkIlJibq4YcfVqdOnTzcHbzF+semdevWiomJsakbQEpJSVHz5s1NNcJvzVj//RwOB/N9Yavw8HCdccYZphoHvfmnMLsbqIqBAwdq4MCBlb59s2bNNHXqVEnS9OnTPdUWvMz6x4aD3eALevfurZ07d5ZfJvzWjHXLQ4cOHZSQkGBTN8CfOnbsaBq1ycqvf/KrlV9vKSwsVG5urukLvqG0tNRpjxX7feELrFsf9uzZo99//92mbvxbWVkZ833hk6yLLVu2bHE64RJ8H+HXhcmTJyshIaH8q3Hjxna3hP9v+/btOn78uKnGyi98gav9qEx9qJ7Nmzfr8OHDphrhF77AuoWypKREmzZtsqkbVBfh14Vx48YpJyen/GvPnj12t4T/z9VHTKz8whc0aNBArVq1MtVWrFhhUzf+bfny5abLISEhOvvss23qBvivM844QyEh5ujEvl//Q/h1ITIyUvHx8aYv+AZr+G3SpIlq165tTzOARVpamunyypUrberEv1nfNLRr146/w/AJ0dHROu2000w19v36H8Iv/Ir1HTarvvAlZ511lunyli1bdPToUXua8WPWNw3Wf1fATtatdoRf/+NX4ffYsWPKyMhQRkaGpD8HyWdkZGj37t2S/tyuMGzYMNN9/rr9sWPHdPDgQWVkZGjjxo3ebh1uYBgGpzWGT+vevbtTbdWqVTZ04r+ys7O1a9cuU43wC19iXXTZuHGjSkpKbOoG1eFXo85WrVqlfv36lV8eO3asJGn48OF65513lJmZWR6E/9KlS5fy/169erU+/PBDNW3a1OmPK3zfnj17lJOTY6qx8gtf0qpVK9WuXdu02rty5Uqlp6fb15SfcfVmwdWbCsAu1tedEydOaOvWrU4zgOG7/Cr89u3bV4ZhVHj9O++841Q72e3hX1x9tMTKL3xJSEiIunXrpm+//ba8xkFvVWM92C0pKUlNmjSxqRvAmavXnfXr1xN+/YhfbXtAcLPu901KSlKDBg1s6gZwzbpKuWbNGj4SrQLrft+0tDQ5HA6bugGcxcfHO53R8X9PfAHfR/iF37Cu/LLlAb7Iuj81Pz+f4wwq6cSJE04hgv2+8EXW1V/GnfkXwi/8BuEX/uDMM89UaGioqcbIs8pZt26dioqKTDX2+8IXWV9/1q9fr7KyMpu6QVURfuEXsrOzlZ2dbaqx3xe+KCYmRu3btzfV2PdbOdb9vpGRkTzP4ZOs/1/m5eVxIL0fIfzCL7j6SImVX/gq62olK7+VY/136ty5syIjI23qBqhYRQe9wT8QfuEXrH9UEhISOAIcPsu6T3X37t3KzMy0qRv/YBiGU/hlywN8VVJSkho2bGiqcbIL/0H4hV9wdXILjgCHr3IV2lj9Pbldu3bp4MGDphoHu8GXcdCb/yL8wi9Y/6iwDxC+LDU11WlViH2/J+fqzQHhF77MuvVu3bp1nFvATxB+4fNycnKcDiQg/MKXORwO9v1WkfVgt+bNmysxMdGmboBTs4bfQ4cOKSsry6ZuUBWEX/g8Vx8lderUyYZOgMqzrlquW7dOBQUFNnXj+9jvC3/j6qBrTnbhHwi/8Hm//vqr6XKtWrXUqlUrm7oBKsca3oqLi3lhrEBubq42bdpkqhF+4etSU1NVp04dU42D3vwD4Rc+b8uWLabLbdq0cTqJAOBrOnTooFq1aplq7Pt1bfXq1U57JQm/8HUOh8NpC5719Qq+ifALn7d161bT5TZt2tjUCVB54eHh6ty5s6nGvl/XrPt94+LieJ7DL5x++ummy4Rf/0D4hU8zDEObN2821XhRhL9wddAbR4M7s74pOOussxQSwssTfF/r1q1Nl7dv366SkhKbukFl8dcFPu3gwYM6evSoqXbaaafZ0wxQRdaD3g4dOqSdO3fa1I1vKi0t1apVq0w1RpzBX1gXY4qLi3mO+wHCL3zab7/95lQj/MJfuApxbH0w27Rpk/Lz8021tLQ0m7oBqsbVJ5GuXrfgWwi/8GnWPyKRkZFq2rSpTd0AVVOvXj21bNnSVOOgNzPrv0dISIi6dOliUzdA1dSrV0/169c31dj36/sIv/Bp1j8irVu3ZtID/Eq3bt1Ml9esWWNTJ75p9erVpstt27ZVXFycTd0AVWf9NJLw6/sIv/BprsIv4E+6du1qurxx40YdP37cpm58jzX8nnnmmTZ1AlSPdesD2x58H+EXPs36R4RJD/A31jBXWlrKyS7+v6NHj2rbtm2mmvXNAuDrrCu/W7duVWlpqU3doDIIv/BZR44c0YEDB0w1wi/8Tbt27RQVFWWqWVc7g1VGRoZTjfALf2N9XTpx4oT27NljUzeoDMIvfJarj44Iv/A34eHh6tixo6nGvt8/Wd8ExMbGsrUJfsfVBCL2/fo2wi98ljX8hoWFqXnz5jZ1A1SfdesD4fdP1vDbpUsXDmiF30lOTlZCQoKpRvj1bYRf+CzrH48WLVooPDzcpm6A6rN+lL93715lZ2fb1I1vMAzD6U0AWx7gjxwOBwe9+RnCL3wWB7shULgKdcG+73f37t06dOiQqcakB/grxp35F8IvfJb1jwdndoO/aty4sRITE021YN/64Cr8s/ILf+Vq5dcwDJu6wakQfuGT8vLytG/fPlON8At/5XA4nFY1g33l1/r7N2rUSMnJyTZ1A9SM9fUpPz9f+/fvt6kbnArhFz5p69atTjW2PcCfWcPv2rVrg3oWKPt9EUhcvT6x9cF3EX7hk6z7fR0Oh1q2bGlTN0DNWcPdsWPHXL7JCwZFRUVat26dqcZ+X/iz1NRUxcTEmGqEX99F+IVPsobfZs2aqVatWjZ1A9Rcly5dnGrBuvVhw4YNKiwsNNVY+YU/czgcHPTmRwi/8Ekc7IZAk5CQ4HQCh2ANv9YtD6GhoU4nAgH8DePO/AfhFz7J+keD8ItAYF3dDNaJD9bQ37ZtW0VHR9vUDeAe1tcpJj74LsIvfE5BQYF27dplqnGwGwKBdV/rxo0blZ+fb1M39rGGX7Y8IBBYw+/Ro0d14MABm7rByRB+4XO2b9/u9G6ZlV8EAmvIKysr0y+//GJTN/Y4evSotm/fbqoRfhEImPjgPwi/8Dmu/lhY90oC/qht27aKiooy1YJt36+rrR6EXwSCJk2aOD2/2ffrmwi/8DnWPxapqamKi4uzqRvAfcLDw9WpUydTLdj2/VrDfnx8vFq1amVTN4D7hIaGOi3UsPLrmwi/8DnW8Mt+XwQS68izYFv5tf6+Xbp0UUgIL0UIDK4OeoPv4S8OfA5jzhDIrB/x79+/X5mZmTZ1412GYXBmNwQ0xp35B8IvfEpRUZF27NhhqhF+EUhchb1g2fqwa9cuHT582FTjzG4IJNbXq4MHD+qPP/6wqRtUhPALn7Jz506VlJSYamx7QCBp3LixEhMTTbVgCb+utngQfhFIXL1esfrrewi/8Cmu/kiw8otA4nA4nAJfsOz7tYb8xo0bKykpyaZuAPdr1qyZwsPDTTUOevM9hF/4FOsfiaSkJNWpU8embgDPsG59yMjIUGlpqU3deI81/LLqi0ATHh6uli1bmmqs/Poewi98ytatW02Xme+LQGQNfceOHdO2bdts6sY7ioqKtH79elONg90QiDjozfcRfuFTdu7cabrM/E8Eos6dOzvV1q5d6/1GvGjjxo0qLCw01Vj5RSCyvm5ZX9dgP8IvfIp10kPz5s1t6gTwnNq1azt9NBroB71Zf7/Q0FB16NDBpm4Az7G+bu3Zs0dFRUU2dQNXCL/wGUeOHNHRo0dNtRYtWtjTDOBh1lXPQA+/1pXtM844QzExMTZ1A3iO9XWrrKxMv//+u03dwBXCL3yGddVXIvwicFnP9LZhwwadOHHCpm48zxrurb8/EChcfWLp6vUN9iH8wmdY/zg4HA41a9bMnmYAD7Ou/BYXF2vDhg02deNZeXl5Tgf9sN8Xgap+/fqKi4sz1dj361sIv/AZ1vCbkpKiqKgom7oBPKt9+/YKCwsz1QJ160NGRoYMwzDVCL8IVA6Hw2n1l5Vf30L4hc+wvjNmywMCWVRUlNq1a2eqBWr4te73jY6O5syNCGjW1y/Cr28h/MJnWP84EH4R6ILloDfr79WxY0enVW8gkFinubDtwbcQfuEzGHOGYGMNv9u3b1dOTo5N3XgOZ3ZDsGHcmW8j/MInMOYMwchVCMzIyPB+Ix6UmZmp/fv3m2qc2Q2BjnFnvo3wC5/AmDMEo1atWik2NtZUC7StD67OXMfKLwId4858G+EXPoExZwhGoaGhTqc6DvTwm5iYqEaNGtnUDeAdjDvzbYRf+ATGnCFYWVdBV69e7TQWzJ+5OrmFw+GwqRvAOxh35tuqdbjt559/XuX7nH/++apVq1Z1fhyCAGPOEKys4ffAgQPKzMxUSkqKTR25T1lZmdPKL1seECxatGihdevWlV9m5dd3VCv8XnrppVW6vcPh0NatWwk0qBBjzhCsXIXBNWvWBET43b59u3Jzc001wi+CBbN+fVe1tz1kZWWprKysUl/R0dHu7BkByPqOmDFnCBYNGzZUUlKSqRYo+35dHezWpUsXGzoBvM8afhl35juqFX6HDx9epS0M119/veLj46vzoxAEjhw5oiNHjphqrPwiWDgcjoA92YX192jevLnq1KljUzeAd1kXcRh35juqFX7ffvttp6MYT+aVV15R/fr1q/OjTJYsWaLBgwcrJSVFDodDn3766Snvs3jxYp155pmKjIxUq1at9M4779S4D7gXY84Q7KzhNyMjQ6WlpTZ14z6c3ALBzNXrGPt+fYPbpz2Ehoa6+1uWy8/PV6dOnTRt2rRK3X7nzp266KKL1K9fP2VkZOiuu+7STTfdpP/85z8e6xFVx5gzBDtrKDx27Ji2bdtmUzfuUVhYqF9//dVUI/wimNSvX99pjjf7fn2D20+u7skRPQMHDtTAgQMrfftXX31VzZs317PPPitJOuOMM7R06VI999xzGjBggKfaRBUx5gzBzjrrV/pzv2ybNm2834ybbNiwwWl/I+EXwcThcDDxwUe5feX3r/mNGzZs0DPPPFN+Wsu5c+e6+0ed0rJly5Senm6qDRgwQMuWLTvp/QoLC5Wbm2v6gucw5gzBrnbt2mrZsqWp5u/7fq39h4WFqX379jZ1A9iDWb++yWMnuZg4caLOP/98Pfroo/rll1/0zTffeOpHVSgrK0vJycmmWnJysnJzc1VQUFDh/SZPnqyEhITyr8aNG3u61aDGmDPA9cku/Jk1/LZt25ZZ7wg61je1rPz6hkqH35UrV1bpAIzatWurU6dOevXVV/X222+blv193bhx45STk1P+tWfPHrtbCmiMOQOcw++GDRtO+ibd11nDO1seEIysr2e7d+9m3JkPqHT4HTt2rJKTk9WnTx898MAD+uyzz3Tw4MEKb3/++edL+nMbxHPPPadLLrmk5t1WUYMGDZSdnW2qZWdnKz4+/qQrEJGRkYqPjzd9wTMYcwb8qWvXrqbLJSUlfrVo8L8OHz6s7du3m2rdunWzqRvAPtbXs7KyMu3evdumbvCXSoffH374QVlZWZoyZYoaNWqkjz/+WL169VLr1q01fPhwp9tfccUV5f/tcDh07733uqfjKujRo4cWLlxoqn3zzTfq0aOH13uBa64+AiL8Ihi1b99ekZGRptrKlStt6qZmXG3ZsIZ7IBi4+iSTfb/2q9K0h7CwMHXr1k3169dX3bp1VbduXX3zzTfaunXrSe+3fft2vfTSS9q1a5dp68Tnn39epWat43927typjIwM1a1bV02aNNG4ceO0b98+vffee5KkkSNH6qWXXtJ9992nv//971q0aJFmzZqlefPmVennwnOsq0OMOUOwioiIUKdOnbRixYrymr/u+121apXpcu3atdWqVSubugHsk5iYqNjYWB07dqy8xr5f+1U6/D711FP6+eefdeDAATVv3lxpaWm6/vrr9eyzzyo8PPyk9x0yZIhGjx6tq666SiEh1T/GbtWqVerXr1/55bFjx0r684xz77zzjjIzM00fJzRv3lzz5s3TmDFjNHXqVDVq1EhvvvkmY858CGPOgP/q1q2bKfxaQ6S/sIb2bt26lU8CAoKJw+FQ8+bNtX79+vIaK7/2q3T4ff/99xUZGalBgwapR48eOvvssyt9msro6Gjdcsst1W7yL3379j3pHGFXZ2/r27evy/PLwzcw5gz4L+u+2MzMTO3bt0+pqak2dVR1ZWVlTuGXLQ8IZi1atDCFX1Z+7Vfp8Lt+/Xrl5eVp+fLl+vnnn/XKK6/ojz/+UKtWrdSjRw+NHDmywvuOGzdO999/v9LT00172vr06VOz7uH3GHMG/Jerg8JWrVrlV+H3t99+U15enql21lln2dQNYD/r6xorv/ar0p7fuLg4paenq2vXrjrzzDO1bNkyffjhh5o1a9ZJw+9//vMfLV68WNu2bSvf9uBwOAi/YMwZ8D9SUlKUkpJSfnIg6c/wa8e0nOqybtVwOByMOUNQs4bfv8adRURE2NQRKh1+X3/9df3888/66aefVFBQoLPPPltnn322Pvjgg1P+Yfv222+1ZcsW9nzBhDFngLNu3bqZDgb2t32/1gkVp512GuMiEdSsizp/jTvjIFD7VDr8bt68WQMHDtTEiRPVqFGjKv2Q7t27a/v27TzQMGHMGeCsa9eupvC7bt06FRYWOo1B81WuDnYDgpmr17UdO3aQiWxU6fA7ZcqUav+QX3/9Ve3bt1ebNm0UGRkpwzDkcDhMRzUj+DDmDHBm3R9bWFioDRs2+MXWgdzcXG3ZssVUI/wi2CUmJiomJkb5+fnlNQ56s1eV9vxWhqtpDJ999pm7fwwCgPXJz5gzQOrQoYPCw8NVXFxcXlu5cqVfhN81a9Y4vQYQfhHsHA6H08QHDnqzV7WG7q5bt05lZWUur3NVP3bsmFJTU9W0aVPTF4Ibkx4AZ7Vq1VL79u1NNX/Z92vtMy4uTm3atLGpG8B3WF/fWPm1V7XCb5cuXfTHH39U+vY9evTgXNZwwqQHwDXr1gd/OdObNfyeeeaZNTqxERAoGHfmW6q17cEwDD3yyCOKjo6u1O2Lioqq82MQ4KxviNjvC/zJelKI3bt3Kzs7W8nJyTZ1dGqGYXCwG1AB6+vb3r17VVpaqtDQUHsaCnLVCr99+vRxOqjhZHr06KFatWpV50chQOXn5+vgwYOmGlthgD+5Co2rV6/WoEGDbOimcrZv3+40upDwC/ypSZMmpsslJSXav3+/GjdubFNHwa1a4Xfx4sVubgPBxtU2GOsfByBYNWnSRElJSTpw4EB5bdWqVT4dfl1tzeC0xsCfXH2yuWvXLsKvTdiMBVv8/vvvTjVWfoE/ORwOp+BoPXmEr7H216JFC9WtW9embgDfkpKSorAw83ojx0LZh/ALW1if9HFxcapTp45N3QC+x7plICMjQyUlJTZ1c2rWlV/rQXtAMAsNDXU6QRjh1z6EX9jCuvLbtGlTTn8N/A9r+C0oKNDGjRtt6ubk8vPztWHDBlONLQ+AmXVrn6tPQOEdhF/YwvqOl/2+gFnnzp2dxoT56rzftWvXOs1452A3wMz6OsfKr30Iv7CF9R0v4Rcwi4mJUbt27Uw1Xw2/1i0P0dHRatu2rU3dAL7JelwLK7/2qXH4/e677yq87rXXXqvpt0cAMgzD5bYHAGbW1VNfDb/Wvjp37ux0cA8Q7KyLPNnZ2SooKLCpm+BW4/B74YUX6t577zWdh/7QoUMaPHiwHnjggZp+ewSgw4cPKz8/31Qj/ALOrOF3x44dpvFnvsAwDKdJD2x5AJy5Gne2Z88e7zcC96z8zp07V2eddZY2btyoefPmqX379srNzVVGRoYbWkSgYcwZUDlpaWlOtR9++MGGTiq2adMmHTp0yFRj0gPgzNX2PrY+2KPG4bdnz57KyMhQ+/btdeaZZ2rIkCEaM2aMFi9eTKCBS642+TPoG3DWtGlTp+fGkiVLbOrGte+//950OSQkRL169bKpG8B31a9fX9HR0aYaB73Zwy0HvP32229atWqVGjVqpLCwMG3ZskXHjx93x7dGALK+001KSnL6gwDgz5Nd9OnTx1RbsmSJDMOwqSNn1jDepUsXxcfH29QN4LscDgfjznxEjcPvk08+qR49euj888/Xr7/+qhUrVmjt2rXq2LGjli1b5o4eEWCY9ABU3jnnnGO6vGfPHu3atcueZiyKi4v1008/mWrWsA7gvxh35htqHH6nTp2qTz/9VC+++KKioqLUvn17rVixQpdddpn69u3rhhYRaKxPdrbHABVzFSZ9ZevD2rVrnQ5etYZ1AP/FuDPfUOPwu379eg0cONBUCw8P19NPP62vv/66pt8eAYgxZ0DlJSUl6YwzzjDVfCX8WvuIiopS9+7dbeoG8H2EX99Q4/Bbv379Cq8799xza/rtEWBKS0u1d+9eU41tD8DJWVd/ly5d6nRGNTtYw2/37t0VFRVlUzeA77O+3uXm5uro0aP2NBPEajyFfOLEiSe9fvz48TX9EQggmZmZppnQEuEXOJVzzjnHdNKgP/74Qxs3blT79u1t6yk/P99pvi/7fYGTc/VJ5++//67atWt7v5kgVuPwO3fuXNPl4uJi7dy5U2FhYWrZsiXhFybM+AWqrlevXgoNDVVpaWl5bcmSJbaG3+XLlzu9kSX8AifnarFn9+7d6tSpkw3dBK8ah9+1a9c61XJzc3XjjTdqyJAhNf32CDDWg91CQ0OVmppqUzeAf4iLi1OXLl1MpxFesmSJRo0aZVtP1i0PCQkJvIADpxAXF6e6devq8OHD5TX2/XqfW+b8WsXHx+vRRx/VI4884olvDz9mfZL/NRsawMlZV1WXLVvmtPLqTdbw+9fqNICTY9yZ/TwSfiUpJydHOTk5nvr28FPM+AWqxzpCLD8/X2vWrLGllyNHjmj9+vWmGlsegMph4oP9arzk9sILL5guG4ahzMxMvf/++04j0ADrO1zCL1A5Z511lqKionTixIny2pIlS5SWlub1XpYuXep0ljnCL1A5hF/71Tj8Pvfcc6bLISEhSkxM1PDhwzVu3LiafnsEGOuTvFmzZvY0AviZqKgopaWl6fvvvy+vLVmyRPfee6/Xe/nfHiQpOTlZrVu39nofgD+yLvrs2bNHZWVlCgnx2IfxsKhx+N25c6c7+kAQOHHihLKyskw1Vn6ByuvTp48peK5atUr5+fmKiYnxah/W/b59+vSRw+Hwag+Av7Ku/BYWFio7O1sNGza0qaPgw9sMeM2ePXucaow5AyrPuu+3uLhYy5cv92oP+/bt044dO0w1TmgEVF5F487gPdVa+R07dmylbztlypTq/AgEIFf7mlj5BSqvU6dOSkhIMB1MvGTJEvXv399rPbg6tTL7fYHKa9SokRwOh2nf/O+//27L/v1gVa3w+/bbb6t9+/YKCwtzegD/Fx+D4X9Z39lGR0crMTHRpm4A/xMaGqpevXpp/vz55TVXYdSTrD+vZcuWSklJ8WoPgD+LjIxUSkqK9u3bV17joDfvqlb4zcnJ0SeffKKkpCS1aNFCK1euVL169dzdGwKMqzFnvEECqqZPnz6m8Lt+/Xrt2bNHjRs39vjPLioqcjrYjVVfoOqaNGliCr9se/Cuau35rVOnTvmBbrt27VJZWZlbm0JgYswZUHPWsGkYhsaMGVPhJ3Du9Nxzz+nAgQMn7QfAqTHuzF7VWvm9/PLL1adPH6WkpMjhcKhbt24VntnHemAEgteuXbtMlznYDai61q1bq2vXrlq9enV5bfHixXrvvfc0fPhwj/3cX375xWm0ZXx8vPr27euxnwkEKs7yZq9qhd/XX39dl112mbZt26Y77rhDN998s+Li4tzdGwIMK79AzTkcDk2ZMkXp6emm0xuPHz9e/fr188jzqrCwULfffrtKSkpM9UmTJvG3H6gG6+LP/v37VVxcrPDwcJs6Ci7VnvN74YUXSpJWr16tO++8kz+AOClXp7tm5Reonnbt2unee+/VE088UV7Lz8/XnXfeqU8++cTtw/KfeeYZbdy40VRLT0/Xtdde69afAwQL65vUsrIy7d27V82bN7epo+BS47+Qb7/9NsEXp+RqPxPhF6i+O+64Q506dTLVfvjhB73zzjtu/Tlr1qzR1KlTTbWEhAQ999xzHLAKVJOrs5uy9cF7OMkFvMLVk5ptD0D1hYWFadq0aYqIiDDV//Wvfzntr6+uEydOaPTo0U4HNU+ePJmzUQE1kJycrMjISFPNXc9bnFqNT28MVIb1SV23bl0+MQBq6PTTT9cDDzygiRMnlteOHz+uXr16qX79+qpbt67q1aununXrKjo6WtHR0apVq1b5l2EYKisrK/8qKSlRTk6ODh06pMOHD2v37t3avn276WdeeOGFuvLKK739qwIBJSQkRI0aNTI9v1j59R7CL7yCg90Azxg1apTmzZtnmv5QWFioffv2meaIukOdOnX07LPPst0BcIOmTZuawi/jzryHbQ/wCmv4Zb8v4B5hYWF66aWXnD5C9YT/+7//U3Jyssd/DhAMGHdmH8IvvML6jpbwC7hP69atPb4ie80112jIkCEe+/5AsCH82odtD/A4wzC0Z88eU80bp2IFgsnVV1+tc889V2vXrtXhw4d1+PDh8r27R44cUUFBQfnX8ePHdeLECTkcDoWEhCg0NLT8v+Pj41WvXj3TV9u2bdW/f3+2OwBuZJ34cOjQIR07dkyxsbH2NBRECL/wuIMHD+rEiROmGnt+Afdr2LAhUxgAP+FqEWjv3r06/fTTbegmuLDtAR63d+9epxorvwCAYObqddD6KSk8g/ALj3P1ZE5NTbWhEwAAfEO9evVUq1YtU43w6x2EX3ic9clcr149xcTE2NQNAAD2czgcatSokanm6pNSuB/hFx5nfTJbn+wAAAQj69YHVn69g/ALj2PSAwAAzlj5tQfhFx7Hyi8AAM5Y+bUH4RceZ30yM+YMAADnxaDs7GwVFRXZ1E3wIPzCo3Jzc5Wbm2uqsfILAIDzYpBhGNq3b59N3QQPwi88ytVHOOz5BQCAWb92IfzCowi/AAC4lpycrLAw88l2Cb+eR/iFR1mfxLGxsUpISLCpGwAAfEdoaKjTSZ8Iv57nl+F32rRpatasmaKiopSWlqYVK1ZUeNvi4mJNnDhRLVu2VFRUlDp16qQFCxZ4sdvg5mrMmcPhsKkbAAB8C+POvM/vwu9HH32ksWPHasKECVqzZo06deqkAQMG6MCBAy5v//DDD+u1117Tiy++qI0bN2rkyJEaMmSI1q5d6+XOgxNjzgAAqBjjzrzP78LvlClTdPPNN2vEiBFq27atXn31VUVHR2v69Okub//+++/rwQcf1KBBg9SiRQv985//1KBBg/Tss896ufPgxAkuAACoGCu/3udX4beoqEirV69Wenp6eS0kJETp6elatmyZy/sUFhYqKirKVKtVq5aWLl1a4c8pLCwsH9HlalQXKo+VXwAAKmZdFNq3b59KS0tt6iY4+FX4PXTokEpLS5WcnGyqJycnKysry+V9BgwYoClTpmjr1q0qKyvTN998ozlz5igzM7PCnzN58mQlJCSUf7FaWT0FBQU6ePCgqca/JQAA/2V9XSwpKVF2drZN3QQHvwq/1TF16lS1bt1ap59+uiIiIjR69GiNGDFCISEV/+rjxo1TTk5O+Rf7b6rH1Uc3hF8AAP7L1Sei5A7P8qvwW79+fYWGhjq9I8rOzlaDBg1c3icxMVGffvqp8vPz9fvvv2vz5s2KjY1VixYtKvw5kZGRio+PN32h6lyFX7Y9AADwX9ZRZxLh19P8KvxGRESoa9euWrhwYXmtrKxMCxcuVI8ePU5636ioKKWmpqqkpESffPKJLrnkEk+3G/SsT96IiAglJSXZ1A0AAL4nMjLSaQGPg948y6/CrySNHTtWb7zxht59911t2rRJ//znP5Wfn68RI0ZIkoYNG6Zx48aV33758uWaM2eOduzYoR9++EEXXnihysrKdN9999n1KwQN65M3NTX1pNtNAAAIRow7866wU9/EtwwdOlQHDx7U+PHjlZWVpc6dO2vBggXlB8Ht3r3bFLBOnDihhx9+WDt27FBsbKwGDRqk999/X7Vr17bpNwgejDkDAODUGjVqpJUrV5ZfJvx6lt+FX0kaPXq0Ro8e7fK6xYsXmy6fe+652rhxoxe6ghXhFwCAU2Pl17v4DBoew4xfAABOzdWJLgzDsKmbwEf4hUeUlJQ4zVJu0qSJTd0AAOC7rCu/BQUF+uOPP2zqJvARfuERmZmZTmeoYeUXAABnrrYFsvXBcwi/8AhXT1r2/AIA4MzV4hDjzjyH8AuPsIbfkJAQNWzY0KZuAADwXbGxsapTp46pxsqv5xB+4RHWJ23Dhg0VHh5uUzcAAPg2Vwe9wTMIv/AIxpwBAFB5jDvzHsIvPIIxZwAAVJ41/LLy6zmEX3gEK78AAFSe9XVy9+7dNnUS+Ai/cLuysjLt27fPVGPlFwCAilnDb05OjvLy8mzqJrARfuF2Bw8eVGFhoanGyi8AABVztUjEvl/PIPzC7VztUyL8AgBQMU504T2EX7idqydramqqDZ0AAOAf6tSpo5iYGFONg948g/ALt7OG3/r16ys6OtqmbgAA8H0Oh8Np6wMrv55B+IXbMeYMAICqY9avdxB+4XaMOQMAoOo4y5t3EH7hdqz8AgBQdaz8egfhF27Hyi8AAFVnXSw6cOCATpw4YVM3gYvwC7dyNZSblV8AAE6tSZMmTjXrSaNQc4RfuJWrj2hY+QUA4NQ40YV3EH7hVpzgAgCA6klOTlZ4eLipxsqv+xF+4VbWJ2lMTIwSEhJs6gYAAP8REhLidFIoJj64H+EXbuVq0oPD4bCpGwAA/Avh1/MIv3ArJj0AAFB9zPr1PMIv3Mq67cH6DhYAAFSM8Ot5hF+4FSe4AACg+qyvm/v371dZWZlN3QQmwi/cpri4WFlZWaYa4RcAgMqzvm4WFhbq4MGDNnUTmAi/cJv9+/fLMAxTjfALAEDluXrdZNyZexF+4Tau9iURfgEAqLyUlBSnGvt+3YvwC7exvjMNCQlRgwYNbOoGAAD/ExMTo3r16plqnOXNvQi/cBvrO9OGDRs6nakGAACcnHVSEtse3IvwC7exvjNlywMAAFXHuDPPIvzCbZjxCwBAzRF+PYvwC7dhxi8AADVH+PUswi/cwjAMp5Vfwi8AAFVnff08fPiw8vPzbeom8BB+4RZHjhxxemISfgEAqDpXr5/79++3oZPARPiFWzDjFwAA93B1zAxbH9yH8Au3cPWkbNy4sQ2dAADg3xITExUZGWmqMevXfQi/cAvrft/4+HjFxcXZ1A0AAP4rJCTE6UxvzPp1H8Iv3IIZvwAAuA8THzyH8Au3YMYvAADuQ/j1HMIv3ML6pGS/LwAA1Uf49RzCL9yCE1wAAOA+1tfR/fv3q7S01KZuAgvhFzVWWFio7OxsU41tDwAAVJ81/BYXF+vAgQM2dRNYCL+oMVeDt1n5BQCg+lwtIjHxwT0Iv6gxZvwCAOBersIvs37dg/CLGrO+Ew0NDVVycrJN3QAA4P9q1aqlxMREU42D3tyD8Isas74TTUlJUWhoqE3dAAAQGKyrv2x7cA/CL2rM+k6Ug90AAKg56xZCtj24B+EXNWZ9J8p+XwAAao6VX88g/KLGmPELAID7caILzyD8okYMw+DUxgAAeIA1/B49elR5eXk2dRM4CL+okT/++EMFBQWmGtseAACoOVefpLL1oeYIv6gRVx/BsO0BAICac/V6ytaHmiP8okZcvQNNSUmxoRMAAAJLvXr1FBUVZaoRfmuO8IsasY5dqV27tuLi4mzqBgCAwOFwOJj44AGEX9SI9R0o+30BAHAfZv26H+EXNcKkBwAAPMf6usq2h5oj/KJGmPELAIDnWF9X2fZQc4Rf1AinNgYAwHOs4Xf//v0qLS21qZvA4Jfhd9q0aWrWrJmioqKUlpamFStWnPT2zz//vNq0aaNatWqpcePGGjNmjE6cOOGlbgNXQUGBDh48aKqx5xcAAPexht/S0lJlZWXZ1E1g8Lvw+9FHH2ns2LGaMGGC1qxZo06dOmnAgAE6cOCAy9t/+OGHeuCBBzRhwgRt2rRJb731lj766CM9+OCDXu488Ozfv9+pxrYHAADch1m/7ud34XfKlCm6+eabNWLECLVt21avvvqqoqOjNX36dJe3/+mnn9SrVy9de+21atasmS644AJdc801p1wtxqm5evKx7QEAAPdxNTufiQ8141fht6ioSKtXr1Z6enp5LSQkROnp6Vq2bJnL+/Ts2VOrV68uD7s7duzQ/PnzNWjQoAp/TmFhoXJzc01fcLZ7927T5YiICCUnJ9vUDQAAgScyMtLptZWV35oJs7uBqjh06JBKS0ud/idITk7W5s2bXd7n2muv1aFDh9S7d28ZhqGSkhKNHDnypNseJk+erEcffdStvQci6zvPRo0aKSTEr95PAQDg85o0aaLs7Ozyy9bFJ1RNwCeVxYsX64knntDLL7+sNWvWaM6cOZo3b54mTZpU4X3GjRunnJyc8i8+XnDN+uRr0qSJTZ0AABC4ONGFe/nVym/9+vUVGhpqevcjSdnZ2WrQoIHL+zzyyCO64YYbdNNNN0mSOnTooPz8fN1yyy166KGHXK5URkZGKjIy0v2/QICxPvmY9AAAgPtZF5dY+a0Zv1r5jYiIUNeuXbVw4cLyWllZmRYuXKgePXq4vM/x48edAm5oaKgkyTAMzzUbBFj5BQDA86yLS3v37lVZWZlN3fg/v1r5laSxY8dq+PDh6tatm7p3767nn39e+fn5GjFihCRp2LBhSk1N1eTJkyVJgwcP1pQpU9SlSxelpaVp27ZteuSRRzR48ODyEIyqKywsdJozyMovAADuZ11cKiws1IEDByr81Bsn53fhd+jQoTp48KDGjx+vrKwsde7cWQsWLCg/CG737t2mld6HH35YDodDDz/8sPbt26fExEQNHjxYjz/+uF2/QkDYt2+f08o5K78AALifq8WlPXv2EH6ryWHw2f8p5ebmKiEhQTk5OYqPj7e7HZ/w/fff6/LLLzfV1q9fr4YNG9rUEQAAgamwsNBpjv5rr73m9Doc7Cqb1/xqzy98BzN+AQDwjsjISKdVXg56qz7CL6qFGb8AAHgPEx/ch7SCamHSAwAA3sOsX/ch/KJarE86wi8AAJ7Dyq/7EH5RLb///rvpMuEXAADPYdav+xB+UWXM+AUAwLusi0xFRUVOZ7xF5RB+UWV79+51qrHyCwCA51Q06xdVR/hFlbl6srHyCwCA5zRq1EgOh8NUY99v9RB+UWXWJ1tkZKSSkpJs6gYAgMDnatYvK7/VQ/hFlTHjFwAA77NuMbQefI7KIbGgypjxCwCA9zHr1z0Iv6gy65ON/b4AAHges37dg/CLKmPlFwAA72PWr3sQflElrmb8En4BAPA86+ttcXExs36rgfCLKmHGLwAA9nC1zZCtD1VH+EWVuHqSsecXAADPS01NZdavGxB+USXWJ1lUVBQzfgEA8AJm/boH4RdV4mrGr/VdKAAA8IymTZuaLrPyW3WEX1QJkx4AALAPs35rjvCLKmHGLwAA9mHWb80RflElrPwCAGAfV7N+S0tLberGPxF+UWknTpxwmifIyi8AAN7DrN+aI/yi0pjxCwCAvZj1W3OEX1Saq031hF8AALyHWb81R/hFpbma8ZuYmGhTNwAABJ+IiAg1bNjQVGPiQ9UQflFpriY9MOMXAADvYuJDzRB+UWm///676TJbHgAA8D7r6y8rv1VD+EWlMeMXAAD7caKLmiH8otKY8QsAgP2sr7/M+q0awi8qpaCgQAcOHDDVWPkFAMD7rK+/xcXFysrKsqkb/0P4RaUw4xcAAN/g6vWXg94qj/CLSnG1n4iVXwAAvC8lJUUhIeYIx77fyiP8olJ27dplusyMXwAA7OFq1q91IhMqRvhFpaxdu9Z0uWXLlsz4BQDAJk2bNjVd3rBhg02d+B/CLyplxYoVpsvdunWzqRMAANClSxfT5RUrVsgwDJu68S+EX5zS4cOHtX37dlPtrLPOsqkbAABgfR0+cOAA+34rifCLU1q1apVTjZVfAADs4+p12PopLVwj/OKUrOG3bt26atmypU3dAACABg0aOI08c7VYBWeEX5yS9Z1k165dOdgNAACbWbc+sPJbOYRfnFRJSYnTpAf2+wIAYD/r6/GGDRuUn59vUzf+g/CLk9q0aZPTE4nwCwCA/ayvx6WlpU4LVnBG+MVJrVy50nQ5JCTEabwKAADwvnbt2ik6OtpUs75uwxnhFydl3Tzfrl07xcbG2tQNAAD4S1hYmNOCFOH31Ai/OCnrk4gRZwAA+I7u3bubLq9atYqTXZwC4RcVOnjwoHbu3Gmqsd8XAADfYV2UcnViKpgRflEhTm4BAIBvc/W6zNaHkyP8okLW8Fu/fn01b97cpm4AAIBVvXr1nE48Rfg9OcIvKuRqvy8ntwAAwLdY9/0Sfk+O8AuXiouLObkFAAB+wLr1YfPmzcrNzbWpG99H+IVLGzZsUEFBganGfl8AAHyPdeXXMAytXr3apm58H+EXLln3+4aGhqpz5872NAMAACrUpk0bxcXFmWpsfagY4RcuWZ807du3V0xMjE3dAACAioSEhDh9Okv4rRjhFy5ZnzTs9wUAwHdZw++qVatUVlZmUze+jfALJ9nZ2dq9e7epxn5fAAB8l3Xfb15enrZs2WJTN76N8Asnrj4qYeUXAADf1bVrV6dxpGx9cI3wC5NffvlF9913n6mWlJSkJk2a2NQRAAA4lfj4eJ1++umm2rPPPquNGzfa1JHvIvyi3KJFi3TxxRfrwIEDpnqfPn04uQUAAD6uR48epsv79u3ToEGD9O2339rUkW8i/EKSNGPGDF177bXKz8831ePj4/XAAw/Y1BUAAKisO+64w2ky07Fjx3TttdfqzTfftKkr30P4DWKGYWjnzp167LHHdPvtt6ukpMR0fUpKiubPn69mzZrZ0yAAAKi0Ro0aae7cuUpKSjLVy8rK9MADD+juu+/W5s2bZRiGTR36BocR7P8ClZCbm6uEhATl5OQoPj7e7nZqZO/evVq6dGn51969e13erm3btpo5c6ZSUlK83CEAAKiJvXv36tprr61wv29iYqJ69eql3r1765xzzlGLFi0CYntjZfOaX678Tps2Tc2aNVNUVJTS0tK0YsWKCm/bt29fORwOp6+LLrrIix3bb8WKFTrrrLPUuXNnjR49WjNnzqww+Pbu3VtffvklwRcAAD/UqFEjzZs3T+np6S6vP3jwoD799FPdc889SktLU8eOHfXll196uUv7+F34/eijjzR27FhNmDBBa9asUadOnTRgwACng7T+MmfOHGVmZpZ//frrrwoNDdWVV17p5c7t1aBBA+3cufOUtxsyZIg++ugjv1/hBgAgmMXFxenf//63brnlllPeNjMzU3Xq1PFCV77B77Y9pKWl6ayzztJLL70k6c99LI0bN9btt99eqQOznn/+eY0fP16ZmZmVPl1voGx76Nq1q37//XeX17Vp00YjRozQ3//+d4WE+N17IgAAUIG5c+fq5Zdf1i+//OLyrG9RUVHavn27IiMjbejOfSqb18K82FONFRUVafXq1Ro3blx5LSQkROnp6Vq2bFmlvsdbb72lq6+++qTBt7CwUIWFheWXc3Nzq9+0D+ndu3d5+G3RooV69+6t3r17q1evXkpOTra5OwAA4AlDhgzRkCFDlJOTo59++klLly7VDz/8UL4nOC0tze+Db1X4Vfg9dOiQSktLnYJacnKyNm/efMr7r1ixQr/++qveeuutk95u8uTJevTRR2vUqy+67rrryje4s58XAIDgkpCQoIEDB2rgwIGS/sxVP/74o2JjY23uzLv8KvzW1FtvvaUOHTo4nf/aaty4cRo7dmz55dzcXDVu3NjT7Xlc9+7dT/m7AwCA4FC/fn1dcskldrfhdX4VfuvXr6/Q0FBlZ2eb6tnZ2WrQoMFJ75ufn6+ZM2dq4sSJp/w5kZGRQbX8DwAAECz86simiIgIde3aVQsXLiyvlZWVaeHChU6n9LP6+OOPVVhYqOuvv97TbQIAAMBH+dXKrySNHTtWw4cPV7du3dS9e3c9//zzys/P14gRIyRJw4YNU2pqqiZPnmy631tvvaVLL71U9erVs6NtAAAA+AC/C79Dhw7VwYMHNX78eGVlZalz585asGBB+UFwu3fvdhrVtWXLFi1dulRff/21HS0DAADAR/jdnF87BMqcXwAAgEAV0Kc3BgAAAKqD8AsAAICgQfgFAABA0CD8AgAAIGgQfgEAABA0CL8AAAAIGoRfAAAABA3CLwAAAIIG4RcAAABBg/ALAACAoEH4BQAAQNAg/AIAACBoEH4BAAAQNAi/AAAACBqEXwAAAAQNwi8AAACCBuEXAAAAQYPwCwAAgKBB+AUAAEDQIPwCAAAgaBB+AQAAEDQIvwAAAAgahF8AAAAEDcIvAAAAggbhFwAAAEGD8AsAAICgQfgFAABA0CD8AgAAIGiE2d2APzAMQ5KUm5trcycAAABw5a+c9lduqwjhtxLy8vIkSY0bN7a5EwAAAJxMXl6eEhISKrzeYZwqHkNlZWXav3+/4uLi5HA47G6nRnJzc9W4cWPt2bNH8fHxdrcDCx4f38Vj47t4bHwbj4/vCrTHxjAM5eXlKSUlRSEhFe/sZeW3EkJCQtSoUSO723Cr+Pj4gPgfPVDx+PguHhvfxWPj23h8fFcgPTYnW/H9Cwe8AQAAIGgQfgEAABA0CL9BJjIyUhMmTFBkZKTdrcAFHh/fxWPju3hsfBuPj+8K1seGA94AAAAQNFj5BQAAQNAg/AIAACBoEH4BAAAQNAi/AAAACBqEXwAAAAQNwm8AmjZtmpo1a6aoqCilpaVpxYoVJ739xx9/rNNPP11RUVHq0KGD5s+f76VOg1NVHp833nhD55xzjurUqaM6deooPT39lI8nqq+qz52/zJw5Uw6HQ5deeqlnGwxiVX1sjh49qttuu00NGzZUZGSkTjvtNP62eUhVH5vnn39ebdq0Ua1atdS4cWONGTNGJ06c8FK3wWPJkiUaPHiwUlJS5HA49Omnn57yPosXL9aZZ56pyMhItWrVSu+8847H+7SFgYAyc+ZMIyIiwpg+fbqxYcMG4+abbzZq165tZGdnu7z9jz/+aISGhhpPPfWUsXHjRuPhhx82wsPDjfXr13u58+BQ1cfn2muvNaZNm2asXbvW2LRpk3HjjTcaCQkJxt69e73ceeCr6mPzl507dxqpqanGOeecY1xyySXeaTbIVPWxKSwsNLp162YMGjTIWLp0qbFz505j8eLFRkZGhpc7D3xVfWw++OADIzIy0vjggw+MnTt3Gv/5z3+Mhg0bGmPGjPFy54Fv/vz5xkMPPWTMmTPHkGTMnTv3pLffsWOHER0dbYwdO9bYuHGj8eKLLxqhoaHGggULvNOwFxF+A0z37t2N2267rfxyaWmpkZKSYkyePNnl7a+66irjoosuMtXS0tKMW2+91aN9BquqPj5WJSUlRlxcnPHuu+96qsWgVZ3HpqSkxOjZs6fx5ptvGsOHDyf8ekhVH5tXXnnFaNGihVFUVOStFoNWVR+b2267zejfv7+pNnbsWKNXr14e7TPYVSb83nfffUa7du1MtaFDhxoDBgzwYGf2YNtDACkqKtLq1auVnp5eXgsJCVF6erqWLVvm8j7Lli0z3V6SBgwYUOHtUX3VeXysjh8/ruLiYtWtW9dTbQal6j42EydOVFJSkv7xj394o82gVJ3H5vPPP1ePHj102223KTk5We3bt9cTTzyh0tJSb7UdFKrz2PTs2VOrV68u3xqxY8cOzZ8/X4MGDfJKz6hYMOWBMLsbgPscOnRIpaWlSk5ONtWTk5O1efNml/fJyspyefusrCyP9RmsqvP4WN1///1KSUlx+gOFmqnOY7N06VK99dZbysjI8EKHwas6j82OHTu0aNEiXXfddZo/f762bdumUaNGqbi4WBMmTPBG20GhOo/Ntddeq0OHDql3794yDEMlJSUaOXKkHnzwQW+0jJOoKA/k5uaqoKBAtWrVsqkz92PlF/ATTz75pGbOnKm5c+cqKirK7naCWl5enm644Qa98cYbql+/vt3twKKsrExJSUl6/fXX1bVrVw0dOlQPPfSQXn31VbtbC3qLFy/WE088oZdffllr1qzRnDlzNG/ePE2aNMnu1hBEWPkNIPXr11doaKiys7NN9ezsbDVo0MDlfRo0aFCl26P6qvP4/OWZZ57Rk08+qW+//VYdO3b0ZJtBqaqPzfbt27Vr1y4NHjy4vFZWViZJCgsL05YtW9SyZUvPNh0kqvO8adiwocLDwxUaGlpeO+OMM5SVlaWioiJFRER4tOdgUZ3H5pFHHtENN9ygm266SZLUoUMH5efn65ZbbtFDDz2kkBDW5OxSUR6Ij48PqFVfiZXfgBIREaGuXbtq4cKF5bWysjItXLhQPXr0cHmfHj16mG4vSd98802Ft0f1VefxkaSnnnpKkyZN0oIFC9StWzdvtBp0qvrYnH766Vq/fr0yMjLKvy6++GL169dPGRkZaty4sTfbD2jVed706tVL27ZtK39DIkm//fabGjZsSPB1o+o8NsePH3cKuH+9STEMw3PN4pSCKg/YfcQd3GvmzJlGZGSk8c477xgbN240brnlFqN27dpGVlaWYRiGccMNNxgPPPBA+e1//PFHIywszHjmmWeMTZs2GRMmTGDUmQdV9fF58sknjYiICGP27NlGZmZm+VdeXp5dv0LAqupjY8W0B8+p6mOze/duIy4uzhg9erSxZcsW48svvzSSkpKMxx57zK5fIWBV9bGZMGGCERcXZ8yYMcPYsWOH8fXXXxstW7Y0rrrqKrt+hYCVl5dnrF271li7dq0hyZgyZYqxdu1a4/fffzcMwzAeeOAB44Ybbii//V+jzu69915j06ZNxrRp0xh1Bv/x4osvGk2aNDEiIiKM7t27Gz///HP5deeee64xfPhw0+1nzZplnHbaaUZERITRrl07Y968eV7uOLhU5fFp2rSpIcnpa8KECd5vPAhU9bnzvwi/nlXVx+ann34y0tLSjMjISKNFixbG448/bpSUlHi56+BQlcemuLjY+Ne//mW0bNnSiIqKMho3bmyMGjXKOHLkiPcbD3Dfffedy9ePvx6P4cOHG+eee67TfTp37mxEREQYLVq0MN5++22v9+0NDsPgcwYAAAAEB/b8AgAAIGgQfgEAABA0CL8AAAAIGoRfAAAABA3CLwAAAIIG4RcAAABBg/ALAACAoEH4BQAAQNAg/AIAACBoEH4BwMf17dtXd911ly0/1+FwyOFwKCMj45S3/avHG2+8sfx+n376qcf7BICqIPwCgA9xFXTnzJmjSZMm2dLPzTffrMzMTLVv377S95k6daoyMzM92BUAVF+Y3Q0AAE6ubt26tv3s6OhoNWjQoEr3SUhIUEJCgoc6AoCaYeUXAHzEjTfeqO+//15Tp04t3zawa9cup9Xgvn376vbbb9ddd92lOnXqKDk5WW+88Yby8/M1YsQIxcXFqVWrVvrqq6/K71NWVqbJkyerefPmqlWrljp16qTZs2dXq8/8/HwNGzZMsbGxatiwoZ599tma/uoA4DWEXwDwEVOnTlWPHj3KtxpkZmaqcePGLm/77rvvqn79+lqxYoVuv/12/fOf/9SVV16pnj17as2aNbrgggt0ww036Pjx45KkyZMn67333tOrr76qDRs2aMyYMbr++uv1/fffV7nPe++9V99//70+++wzff3111q8eLHWrFlTo98dALyFbQ8A4CMSEhIUERFRqa0GnTp10sMPPyxJGjdunJ588knVr19fN998syRp/PjxeuWVV7Ru3Tp16dJFTzzxhL799lv16NFDktSiRQstXbpUr732ms4999xK93js2DG99dZb+ve//63zzjtP0p9BvFGjRtX5lQHA6wi/AOCHOnbsWP7foaGhqlevnjp06FBeS05OliQdOHBA27Zt0/Hjx3X++eebvkdRUZG6dOlSpZ+7fft2FRUVKS0trbxWt25dtWnTpjq/BgB4HeEXAPxQeHi46bLD4TDVHA6HpD/3+h47dkySNG/ePKWmppruFxkZ6eFOAcC3EH4BwIdERESotLTUrd+zbdu2ioyM1O7du6u0xcGVli1bKjw8XMuXL1eTJk0kSUeOHNFvv/1W4+8NAN5A+AUAH9KsWTMtX75cu3btUmxsrFvGnMXFxemee+7RmDFjVFZWpt69eysnJ0c//vij4uPjNXz48Ep/r9jYWP3jH//Qvffeq3r16ikpKUkPPfSQQkI4fhqAfyD8AoAPueeeezR8+HC1bdtWBQUF2rlzp1u+76RJk5SYmKjJkydrx44dql27ts4880w9+OCDVf5eTz/9tI4dO6bBgwcrLi5Od999t3JyctzSJwB4msMwDMPuJgAAvqdv377q3Lmznn/++Wrd3+FwaO7cubr00kvd2hcA1ASfUwEAKvTyyy8rNjZW69evr/R9Ro4cqdjYWA92BQDVx8ovAMClffv2qaCgQJLUpEkTRUREVOp+Bw4cUG5uriSpYcOGiomJ8ViPAFBVhF8AAAAEDbY9AAAAIGgQfgEAABA0CL8AAAAIGoRfAAAABA3CLwAAAIIG4RcAAABBg/ALAACAoEH4BQAAQNAg/AIAACBo/D9NShcSntJVEAAAAABJRU5ErkJggg==", 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" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ - "plt.xlabel(r'$\\mathrm{ln}\\,\\lambda$')\n", - "plt.ylabel(r'$\\mathrm{ln}\\,I_\\lambda$')\n", - "plt.plot(lnwl, lnI, 'b-')\n", - "plt.show()" + "afig, mplfig = b.plot(show=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Per equation above, $B(\\lambda)$ is then the slope of this curve (plus 5). Herein lies the problem: what part of this graph do we fit a line to? In versions 2 and 2.1, PHOEBE used a 5th order Legendre polynomial to fit the spectrum and then sigma-clipping to get to the continuum. Finally, it computed an average derivative of that Legendrian and proclaimed that $B(\\lambda)$. The order of the Legendre polynomial and the values of sigma for sigma-clipping have been set ad-hoc and kept fixed for every single spectrum." + "and now without boosting" ] }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/usr/lib/python3/dist-packages/ipykernel_launcher.py:1: RankWarning: The fit may be poorly conditioned\n", - " \"\"\"Entry point for launching an IPython kernel.\n", - "/usr/lib/python3/dist-packages/ipykernel_launcher.py:8: RankWarning: The fit may be poorly conditioned\n", - " \n" + "100%|████████████████████████████████████████| 101/101 [00:00<00:00, 113.38it/s]\n" ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "envelope = np.polynomial.legendre.legfit(lnwl, lnI, 5)\n", - "continuum = np.polynomial.legendre.legval(lnwl, envelope)\n", - "diff = lnI-continuum\n", - "sigma = np.std(diff)\n", - "clipped = (diff > -sigma)\n", - "while True:\n", - " Npts = clipped.sum()\n", - " envelope = np.polynomial.legendre.legfit(lnwl[clipped], lnI[clipped], 5)\n", - " continuum = np.polynomial.legendre.legval(lnwl, envelope)\n", - " diff = lnI-continuum\n", - " clipped = clipped & (diff > -sigma)\n", - " if clipped.sum() == Npts:\n", - " break" + "b.set_value_all('boosting_method','none')\n", + "b.run_compute(model='noboosting')" ] }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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sphFjGMgwHqUtC9mbn+jDh9zPVWwnj2E8wlhO4kcK+IJDeJKLOYNRNGB1ibM9/7ybb6ugAJo1g8aN3VK+xuSyjAUPESkUkZqBx9WBXsBXyRyrqoNUtaGqNgauAl5W1evSltg0CwaP8Bl6owPB+vWhx8HeVRC/5FG5Mrz7LnFt2eIWc/JKU7hEy/HGc8kl/o+JV43nld5U20xNxtOHG7iLbkxnLzbTjX9xA3eymoaczmhGcSaracR3NORVBnERT3EQywAX+X79FVatcue78MLQ2JL773cDQxctgrlzMx0ojUmPTJY86gGTRWQxMBeYoKofiMgwEVmDq8paLCLPAohIUfBxrgkGj2S7+IYHiXgljxYtSpYgrrwy8nmNGt6ZV3TwqFP6JTvo18//MfEy1FgzFafTVqoxnW7cxQ30YTx78xNtWMDlPMJndKIHk3iKS1hGC36gHqMZyEU8RXO+JhhMgq6+2k3q2KYNdOjgrvVjj7lp+X/+OfOfzZhUyGRvq8VAW4/tjwAlpghU1XkQWGAicvuLwIupT2Hm/PyzW98j2Qw6enEqr8fgupZ+/HHktngzAe+xh6ur9zpXcJncTGnePLK0Vd78SWUW0YZFtOExLgeUpnzLkUzlKCZzFJMZiJtSeS31mEJ3JnMUU+jOCg4gevLHyy+PPP+rr7ruwcZUFNbxMwveftvdr1uX3P7JBg+vBnSvX/TBbX36hLZFlzxiBY/27WOnM1Y6vvgCxo6Nf8x1Fa4SUviWA3ie8zmLV6nPGpqxnCE8zRS6cxSTeYYhfENzvqcBL3MW5/EcTVhJdMkEXHdgERgwwM2BNn585j+RMX5Y8KgAzj7b3Q8YALUTjHHzChbvvOO9T7wlX484wt2/+GLk9r/8Jf77Q2TwaN7ctdkUlWFkTr3Es46UA8IKmvEMQxjEa+zLWg7kKy7mSWZwOMfwCc9xAStpync04kUGM5gX2TcwoDHozTfd37lPn1CbSd++bhoVaysx5YkFDw/33ecWHCov9t3XZRxjxsQveYB3BhOd4QeDRvjCS9EN1gcf7M7VK7RUB/37hwJZPOHpCu6fqFtxrJLOTz/5n/6lfBCWcyBPczEDGUNd/ksLlnIpjzObjvRhHC9yLv+hPktpwcMM40TGsgclG0Hefx8aNXKlw5tuclPjGJNtFjw8XHVVZJVOeZXMOA+vYHL22fDXv7qZgINiZd7h7/H661CtWunSlWhkfPT7Dxrk1iqpVSu9v7gHDAg9njw5nWM0hGW04EkuZQBvUod1tGIRV3I/39GIC3iWsZzET+zNdA7nFkbQhRklZg++805o2tRd42rVyja9vzFlYcGjAoiVeSZT8vA6tmpVeOihUGN6Xl5kBnTNNd7vIZLc9ChepaNEga5Zs8jnQ4e6dgBIb/AIr7rLy3OLSV14YfreL0ipxBJa8SBX0ofx1GIj3ZnMPVxLHtv5G7czg678yD68R18u55Gd3YLXrnXn2LrV9eKqXBn22gteftkCickcCx4VWGlLHkHBjLNnz1Cm06KFW9Qq1vvFayeJJ1HQadnSjYEIf69MCE9XcGr2xx/PzHuH+4OqTKU7N3EnnZhNARs4hbcYxSBa8CWP8H8sowXf04AXOIczGEUBoVkUfv4ZBg92fx8Rt0jYrFluXI8x6WDBowKIlZEmU/LYY4+S+wTl57vpyN9+OxQ8vNZaD5dMycMrYCUTDMLXQwnfv1u30OPLLw/1VkuFYDC8777Q42TbWFomO7lOmGQb/zdRi3c4hUt5kmasoAkrub3BSGZwOCfwAaM4k3XUYTYduJWb6cxMKrN95/EbN7qleffYw13Liy+2UolJLQse5dhpp8V/3StDDmYQxxzjJu2LHk8QrWVLN3CwRQs46ywYPTr+/qkKHn36uC684cLbPcLfp3370HK7LVu6JX/DTZ2aOE3gxsCsWBG5LbzTgF977eVv/0cfha+/Lt14llU0YeL+FzKQMdRmPUXM5WZuYxv53MidzORw1lOb1zmNc3iBuvwQcfzTT4dKJccfb/NvmbKz4FGOJfq1Hnz97bddxhSualUYPjz5X9F5ea7OvDS/ppMRHVA++CBy2hVwkwoGea0RH0vjxqHH++8fe78DDnCNzaqhoJFMB4BYRNw5e0bN8+w1dxi4Kd332MN73rK//z3yudcYoODsAUol5lPEndxEV2ZQwAYGMIZ/0o9uTOMFzuMH9mUBbfg713MEUyMa3seNc9dMxAVe6wJsSsOWuMkB4RlrujMCv20Rwf2jq0yC2199NTTSPl7wiLc9UffloPDSzIwZ8NZbZVvLXAS++cbNaVWjRmj7fvt5759M+1NQ7dou8G/b5rqNL1sGU6Z4H7uJWrzJgMAU9EorFtObjziO8VzF/VzP3fzMHnxKLz6iNx/Rm+9pCED37u4c7drBSSe5YHjMMbDPPslcAbMrs+BRznjNC+Wnt1Uyr/mRzCj2ZMT6DOFTcjRvHnocq3rM6zzJrqcRfs527dwtOPdXaT5Xop5ke+/txqkExWtzqFmz5Lbdd3dtF127umq+zp1diS1BqlhMaxbTmnu5lj34mR5M4jjGcxzjORk3c+ZiDuUDTuADTmA2HZk/vzLz50ee6dpr3SSX9euXvqOEyV1WbZUFsTLGbdv8NQYnO0iwLKLPV9rgEW+OraD8/FApxM/7JPsr2c/1ildNlsx5Af72t8jn8YJH+HouwZLL1Klwww2hTg9dupQ87sYb46ftf+zJe/TjYp6mEd/RgqVcyf1soICruY+ZHM466vASZ9OfN9iLTTuPveceV72Vlwe33hpZMjTGgkcWxAoeeXner/nJSIOZYbq6usY671FHeW8Pti3k5UGDBonPH0x/OpbbjXfO6M+VzOJcwWOiz1uliruPbm+KFzzC912+3N0feqgbFBjrmr//PtxxR+gaR8+oHE3VDVR8kCvpySQKKWYAYxhHH/owjjc4jWIKmUgPruBBmrF857EjRrg0irgSybRp1layq7PgkQXRmUEyv8qTdcQR7pf4DTek7pzhYmVknTqFHodnKpddFnq8dWvi8ycKfsHt0RnlxRcnPrdX8IiVASaTMQanbglPa58+rsQxfLhbYdDvOSF+Ndynn4YeB+cLC543vIosWvhsAkGbqcmbDGAwL1OHdXRhBvdxNQfU3MCDXMlyDuRrmvMAwzmKSeTjGojuvdf9n+22m5sFYNYsCyS7IgseWRCe2bRrBwsWpO7c++wDGza4dSNSIS+JVrGzz4abby65vUePyK6wievrQ2IFj2AmFRxlHTR8eOnPWRqPPx4K0OFB6Zln3KqCDzxQsifXkUd6n+ukk9z9v/7lfuHHEz5uJ3gtbr/d3Xv1rAsu75uoau9PKjOLLtzI32m4cTGNWMWlPM4KDuBSnmASPSmmkDEM4CxepoBifv/d/e27dHHX4K674r+HyS0WPLIgPBM75RQ36Z2Xiy5y9127pj9NsRQUwJAhoUzNKwMeNsy7y2v0vslM555stVV0A3Myx/mpCkv0S7p+/dD5wj9nvGAba4DgP//p7rt1g1tuST6NwcB8zTUuvV6N2r0DCz37bfBeTSOe5FKOZxz78CN9eY8xnEZXpvMyg/kvdZnKEQznAZriBs/ccIObUDM4G7AIvPYabN7s771NxWDBIwvCx1LE+1J37+4yhWTaCtLp6adDmVqirrJQtiqMZKutogXbE5LtqpvseWMJ/4yxVnqE0LK06RAcOBlPsJHbK6gFu+km8is1eJ++XMRI6rOGdszjdv7GnvzMA1zFCprxBYdwBzeyx1dzEEKNO4MGuUAv4rpGm9yRyTXMq4nIHBFZJCJLReTWwPahIrJCRFRECmIc20ZEZgWOWywiCcZel28ffRR6nEy1UHmSqTmnElVbxdruN0Ckoq4+/LzRPwYaNXIlt7KsZ+IlmVIchAZQBquvgsaMiT91jZczz3QDFD+nHbcygrYspDH/ZhgPs446XMs9zKEja6jPk1zMsXxEFUINXf37h0okb79tvbcqukyWPLYCPVS1NdAG6C0inYAZQC8g3oQJvwJnq+ohQG/gHyLi0TO+Ygifw6mi9Z9PVPIIr4IrTaDx09vqyy9hzhz3OLzksXJlaJ9Fi0JVan4CSzAdJ5wQu63Ci9d7PP105KSPkHjamESSDXo33eTamo45JnL7gAFw7LH+3vOVV0pu+47GPMowejKJ2qznTF5hJl04k1f5iON2tpOcwShqsnHncaee6tpoXnjBree+dKm/tJjsy1jwUCc4x2d+4KaqukBVVyU4drmqfhN4vBZYD3hM8lDx5ELJI7jtp59chp6O9xk61PWwOv740LaDDw79Ag+v7mrSxE2tDq7xOhhYvK51rEy4Y0d3P2yY+5WerGTbVR55JPlzhvMbkPPzI69ZuEsvLV0aYtnI3oziTPrzFgVsoA8f8joDOYJ/MYozWU9tJtCLoTxKA1YDcN55LpC2bBkqlXz7bWrTZdIjo20eIlJZRBbiMv8Jqjq7FOfoAFQBcuJfLDgmoCILZmi1aiU/2juWWCWP1q3dNCCJpv7wmhU4OOFivEAdnSnXrevOefTRbuBi9ODNWJl4eS9JPvssTJzoHscLRNGdNKLn70pkK9UYTx8uYiT7spZOzOIBrmQ//sOjDGM1jZjPYdzMrbRiEeHruh9wgEvbM8+4wPfNN/7e22RGRoOHqu5Q1TZAfaCDiPiahk9E6gGvAOeqaokhVyIyRETmici84uLikicoh3IheERLZ4N5LHvu6e4PO6xkGoIlj7Jk7MGSSCJ+enTNmpXabtrJOP9814U6KNhNONqUKaEqyK+/jhxfApFTySSiVGI2nbieu2nBMg7kK67hHn6jOrdwK4tow7c05T6uojMzdza4DxniJnFs3tz9Pzz5pI0nKU+y0ttKVTcBU3DtF0kRkT2BD4GbVPWzGOcdqapFqlpU6DV1aTlUMdfnjuS3Z1RZzhlLo0YwcyY89VTJ8wQzHK+Sx9VXuwFvwVULY6lTB1q1ShyA/ASPTp2gTZvk90/Gbrt5z9obS7CbcLTKlUPXy+tvER6A/FrOgdzHNXRlBvX4gQsZyVccxDAeYSaH8x/24wku4Wg+iZgN+NJL3fWtW9d1QPjll9KnwZRdJntbFQYbuUWkOq6R/Kskj60CvAu8rKpvpi+VmZcLJY9U9sAqy/QknTuHTVse9gs1WLfvdc769d0cUokG0eXlucb3446Lv186plUJF+whFWvq+U2b4D//ceMrHnssuXMuWhT/9XTOobaeOjzLhRzPOAop5gxGMZ2unM3LfMKxrKc2L3E2/XiX6vwKuOnq5893E0eKuL97sOOEyZxMljzqAZNFZDEwF9fm8YGIDBORNbiqrMUi8iyAiBQFHwMDgCOAc0RkYeCW4t9s2ZELwSOVUj03l4jLRMsy9brf90ungw5ypYVnn/V+PT/f3U4/PXJqmHhatfLu6BDvb5GOVQl/Zi9GcwYDeJMCNtCX93iPkziBD3iXk9lAAW9zMoN4NWICx88+c9WKBx7o2qgqSI11hZfJ3laLVbWtqrZS1Zaqeltg+yOqWl9V81R1X1W9ILB9XtjjV1U1X1XbhN0WZirt6ZQLwSMdGWZZz/n88679o25dd65MVQ+mu+QBrp3C7xiNRA4+uOS2eAMvE5U8Zs4MPf7kE//p+Z3qvE9fzuVF6rCOnnzK85xHR2bzKmdRTCEfcSwX8RR1+C/gJpT89FO3FooIPPcc/O9//t/bJMdGmGdZLrZ5pKLBvKyZ8NFHu6qNTF/fTA2iTIejj46s6jrrLHfvVaWXqOQRPqeZn3EyXraTzyR6cjmP0YDv6chnPMhw9mclT3EJa9mXaXRlOA/QhNAgnwsucB0pgsvvTp9uDe6pZMEjy3Kh5BFLJhvMTdl98klkVdeIEbBli/da7Yky4fDOCYkC+P33w5o18OCDidOoVGIOHbmOe2jOclqyhBGMoAa/8ABXsZKmLKANf+M2WrIE0J2Brls3GDzYSiOpYsEjy3IheKSy5BHrnOVNdPrGj49cFTEXVKoUubxuuEQlj/DgIQLvvRd73wsvdON3rriiZG+5+ISltOR2buYwFtCElQznAbawOyMYwRJasZzm3M21dOQzhD955RVXGhFx66EExwAZ/yw6NM5JAAAbOUlEQVR4ZFkuVluVRToXg0qn3r3deuy7iujgET2IMrpbdN++sH6997nC9/Xzw+OddyKfr6IJDzGcbkxnX9ZyEU/xLU0ZzoN8Rme+pwGPcRk9mEge2+jb1733778n/54mpIJ9RXNPRcskvaRynEe6V0Isq4MOcvcVZBhR2kRn8tEN7l5jamJds/AfUNFBKd64mniln3XUZSQXcRwfUUgxg3iVz+jEObzIRHqxjjq8wDn05T2O7/Fb7BOZmHIg6zIVTd26sV8r7yWPO++ECRMiV07cFXll8t26RT5PVvi+mzZFvhZrupsVK5LvLryZmrzGIE7lbQopph/v8j4nchLv8R79GDurgM29ToaXXy6xHOPWrW5anOh0GQseWVdef2H74eczfPcdLFuW2nNmUpUqoeVnd2XRVT2VKsVf1ySe8H133z3ytWOPjVz/Jqhp09KNNfmN3XiPfpzDS9RmPb2YwAucy/8mznGt6bVrQ8+e6COP8sETq6lWzbX71KoVmrjxssvghx/8v3euseCRZeU1k/TDz2do2LDkKoDhynu1lXGiZ+QNdof1a968kucNHwBZuXJoVuPo0l5ZG7u3k89EenE5j9GQ1ax7fw5cey388APyf8M44bJGzKWIG7mDQ/iC4OSNTzzh1kcRgb/+ddedc8uCR5ZZJhnJgkfF0LOn+1vVqeOe+5108s473Roe7dpFbs/Lc5M3BolAixYuUIQPPITUjnJXKvHvgvYuYV9+uXPyxm3kcwd/4wsOZTnNuZer6cIMKuEi18MPh+bcEnGBblcJJBY8dhEnnwynpWn9xVR21Q1OI+K1Jropf4J/62RLHnfc4aaEv+EGFxRiufNOdx+s0oquFgt/71QJTlU/c2Zo8sYuzKJeWM+t/+NhZtCVtezL0wzhOMZRlVAd3sCBLq2XXAKjR+f2mBILHlmWqV/Yb78Nr7+ennNHf4bu3V1d9T/+4f9cBxzg7sNHKJvyKzx4JOPGG5Obkbd+fXcfr+3Eb4+3F1+M//pNN7n7sWMjt/+XeozkIvaZ43puDWQ0U+jO6YxmHMdTTCGvcxoDGc2ebAbceJUzznBjSq680o0DyrUxJRY8siwXq2eqV3frtAe7tfoxdSp8/HFuXpdcFKw68ioZpOq80YILgvUOW9BhxIj45zvyyMjSbPhU9H/7W+S+saZ6b9bMTd44hoEMZAwFbOA4xjGa0+nOFEZzRsScW/VYC7iR8336uCq5Y4+FUaNyo2rLgocps1RmGnXrllxv25Qfe+0VuRDU9u3uPj8/tRli+HnDTZ0a2cgeXA/lxBPjn++TTyID0UknhRriw9tdVF33XC/RY1f+oCofcdzO1RK7MIOH+T+a8m1gzq39mEc7bmEE7ZiH8CeffOLWjgkG29mz4bcKOszEgkeWlSbjLW9TmlgpYdexcSN8FbYKT6xqxrIOogyOGTnjjMjtRxzhPU5IxE2E+MAD3uerUsXN0xVuwAAXLAoKQtvWrXPBI7iKIri2mVWr4i9j/CeVmUUXruE+mvENLVnC9fyd36nGzdzGPNqzhvqM5EL68h674Yo3nTq5sSwi8OabmVs6IBXiXA6TCaXJeFeuLF/9zC147Dq85vSaMydyMN+kSa6KaOPG0veIOvBA/yWZZ55x91de6f16rBJFuB9/dGMFw40d64JJsDSUmJtzayktuZvrKaCY4xjPCXzAaYzhQp7ld6oyiR68z4l8yPF8T0MGDAid4euvXfVcrLnFygMreVRA++3nluE0JtsKC+H4493jfv3cfZMm7r5mTdh77/S+v5+u3bEarMO3r11b8vWmTd293+7IAB06wAYKeYWzOY03KGADPfmUJ7mE5iznSS5lNY1YSGtu5yY68hmV2MGBB4ZWSjz//PK5wJUFjyzLhV/tufAZTNkNGwabN0PjxtlOiRO9NG0ywWPcuNjnC/8/fzOJxbA7dHBriITbRhUm0ZPhPEQzvuEglnEV97GRWlzH3XxGZ9ayLy9xNqfzGgUU8/zzoQWuPvww8ftmigWPLMuFjDcXPoMpOxHXNTWT4lVtRU9rsm2b937hwSOZ9sT27eHUUxPv9/e/e8+a/cYbsHgxgPA1B/EAV3EUU6jNek7nNT6lF30Yx2sMYh11mEN7bucmDmc6J52wHRHXaSHeNPeZkLHgISLVRGSOiCwSkaUicmtg+1ARWSEiKiIFcY4fLCLfBG6DM5XudLOM15jSC45w9xoXFP3dSiZ4JJoAcfny0GDCRGJVc/XvD4ce6tqDZsxwM6IAbGRvXud0zmQUdVjHzb3ncDO3sZWqXMfdTKcbGyjgLU7hyG+e4fJ+qxFxXeIXZmFR7kyWPLYCPVS1NdAG6C0inYAZQC/gu1gHisjewC1AR6ADcIuI1Ep/kk0yLACabHntNddQ7rUGe/QYkVg9mcK76iYaEd6sWWj9+OrVI1/r39+NoO/aNfL9f/zRey0TEejSBe6+u+Rrf1KZ3w9tz53cRDemU8AGTuEt3mAA7ZnLMwxhNY1YSgsu+voKrm87nhryS0artjIWPNQJdpbLD9xUVReo6qoEhx8LTFDVn1R1IzAB6J3gmAohFzLeXPgMpmIqKHBddL0kW/IoKHCzPUMoeEydmvi9v/oKJk8OPX/jDTeCPtgrK1jy2Htv17Fg0iS3T7LCq7w2U5N3OIWLGEkjvuNgvuQKHmQ1DbmEJxlPHzZSi8l0Z9YJdzDu7+kvimS0zUNEKovIQmA9LhjMTvLQ/YDvw56vCWyr8CzjNSY9or9bffu6e69BqMFSRDB47L23G98Rb5qchg3dVDyPPALTpoW2B4NU9LFHHeVKJ8k66qjQ48hR78JXHMw/uILj+IhabKQXE3iIK9iD/3EbN7P3P59L/o1KKaPjPFR1B9BGRGoC74pIS1X9IolDvbLYEk1lIjIEGALQsGHDMqXVJM8CoCmPov8v27eP3cAenLokWOLIz4cvvkhurMnll0c+f/FFuO02aN3aV3JL6NXLVXdVr+7G0Rx0UOQAzaDfqc5EejERt9DMPmzg3hO3ku71yrLS20pVNwFTSL7qaQ3QIOx5faBEj2xVHamqRapaVFhB1gnNhYw3Fz6DyR3vvgvvv+/v/zJ6Fuf8fHd8aVa0bNnSVU959bTyq7AwtEBW+NiuJUu897/8cviRAoqrpL9iJpO9rQoDJQ5EpDqukdwjjnr6GDhGRGoFGsqPCWyr8HIh482Fz2ByR79+cMIJ/v4vo6ceSUXG70e88SVBwTaU227zXl0R3DgbcEvnplsmSx71gMkishiYi2vz+EBEhonIGlxpYrGIPAsgIkXBx6r6E3B74Li5wG2BbcYY48lP8BAJTbIImQ8exx0Hjz6a3L7B6eq9BKu4cip4qOpiVW2rqq1UtaWq3hbY/oiq1lfVPFXdV1UvCGyfF3wceP68qh4QuL2QqXSnW0X81X7hhZHPK+JnMCZaeNfbTAcPgKFDk2tjif6+vfNO6PGee+Zg8DDeKmLGGz6BG1TMz2BMtPCAUR5Xshw0yN0ffnho27nnwl/+Ajff7J7n57suwTfemP702Ky6WVYRM96KmGaz60pmKhGIbPfIZvBYscLdoh19dGTJRDX0PJh2ETd6PRPKFDxEpDHQVlXfTUlqTIUQXbS2YGLKq59+CvVWSiRY8mjbtnQz6KZK06ahmXwTCX73/MwunCq+g4eIXAv0BPYEpgILUp2oXUkuZLy58BlMbqrlYxKj4K/38rbYWjKyETxK0+bxJ9AXFzj+raqvpzZJuxbLeI0pH4LBI96KgeVVhQgeqnqfqv6uqtcC34rI02lIl6lALACaXFCRg0dwSpRMpj1h8BCRJ0TkEhE5XEQiZutX1QnAtWlL3S6gIma80UuLVsTPYEy0ihw8zjnHzcd11lmZe89kLtNCoBUwEGgpIv8DlgCLgSVWbVU2lvEaUz5U5ODRrJmb+j2TEl4mVR0Z/lxE6uOCyaHA8YAFjzKoiMHDeluZXFSRg0c2+L5MqroGN1FhErOxmFxkwcPkomBXXQseybER5llWETNeCx4mF1nJw5+kL5OIVAVOARqHHxeco8qUTkXMeJOZf8eYisaChz9+LtN7wGZgPm49crOLspKHyUUWPPzxc5nqq2pOrBtenlTEjNeCh8lFFjz88dPmMVNEMjTl1q6jIma8Vm1lclFwPisLHsnxc5m6AueKyEpctZUAqqqt0pIyU25ZycPkouCSsxY8kuPnMvUmEDDSlJZdUkXMeKNnHK2In8GYaBY8/El4mQIjyr0CRjCQ7OnxmklSRcx4e/eG666Du+/OdkqMSR0LHv4kbPNQ1T1UdU+P2x6qmnTgEJFqIjJHRBaJyFIRuTWwvYmIzBaRb0RkjIiUmBBZRPJF5CURWSIiy0Tken8fs/yqiMGjcmW4667Q84r4GYyJFgwe2VzLoyLJ5CDBrUAPVW0NtAF6i0gn4B7gIVVtBmwEzvc4tj9QVVUPBdoBFwUWojLlgAUPkwsq2ZBpXzJ2udTZEniaH7gp0AN4K7D9JaCf1+FADRHJA6oDfwA/pzfFmZELGW8ufAZjgsEjetZo4y2jsVZEKovIQmA9MAH4FtikqtsDu6wB9vM49C3gF+AHYDVwv6r+5HH+ISIyT0TmFRcXp+UzpFouZLz2i83kguD/sXVFT05Gv/aqukNV2wD1gQ7AwV67eWzrAOwA9gWaAFeKyP4e5x+pqkWqWlRYWJjClJt4ciEAGmPBw5+s/GZU1U3AFKATUDNQHQUuqKz1OOQM4CNV3aaq64EZQFEm0ppuuZDx5sJnMMaqrfzJWPAQkUIRqRl4XB3oBSwDJgOnBnYbjJtDK9pqoIc4NXBB56v0pzr9ciHjzYXPYIyVPPzJZMmjHjBZRBYDc4EJqvoBbhnb4SKyAtgHeA5ARPqKSHDG3seB3YEvAse+oKqLM5h2E4cFD5MLLHj4k7HhMIHMvq3H9pW4No3o7WOBsYHHW3DddXNOLmS8ufAZjLFqK3+sn0yW5ULGmwufwRgrefhjwSPLciHjzYXPYIwFD38seJgys+BhcoFVW/ljwSPLLOM1pnywkoc/FjyyzIKHMeWDBQ9/LHgYYwxWbeWXBY8ss5KHMeWDlTz8seCRZRY8jCkfLHj4Y8HDlNrVV2c7BcakjlVb+WPBI8sqcsnj3nvtV5rJHcHvov1PJ8eCR5ZV5OBhjNl1WfDIMgsexpiKyIKHMcaEsR90ybHgkWX2j2pM+WJtHsmx4JFlFjyMMRWRBQ9jjAljP+iSY8Ejy+wf1RhTEWVyDfNqIjJHRBaJyFIRuTWwvYmIzBaRb0RkjIhUiXF8KxGZFTh2iYhUy1Ta08mChzGmIspkyWMr0ENVWwNtgN4i0gm4B3hIVZsBG4Hzow8UkTzgVeBiVT0E6A5sy1TC08mChzGmIspY8FBnS+BpfuCmQA/grcD2l4B+HocfAyxW1UWBc/2oqjvSnGRjjDExZLTNQ0Qqi8hCYD0wAfgW2KSq2wO7rAH28zi0OaAi8rGIfC4i12QmxcYYY7zkZfLNAqWFNiJSE3gXONhrN49teUBXoD3wKzBRROar6sTwnURkCDAEoGHDhqlMujHGmDBZ6W2lqpuAKUAnoGagTQOgPrDW45A1wFRV3aCqvwLjgMM8zjtSVYtUtaiwsDA9iTfGGJPR3laFgRIHIlId6AUsAyYDpwZ2Gwy853H4x0ArEdktEGiOBL5Mf6qNMcZ4yWTJox4wWUQWA3OBCar6AXAtMFxEVgD7AM8BiEhfEbkNQFU3Ag8GjlsIfK6qH2Yw7caYHGfTkviTsTYPVV0MtPXYvhLo4LF9LDA27PmruO66xhhjssxGmBtjDDbmyi8LHsYYY3yz4GGMMcY3Cx7GGGN8s+BhjDHGNwsexhhjfLPgYYwx2DgPvyx4GGOM8c2ChzHGYOM8/MrorLom5IMP4N13s50KY0yQVVv5Y8EjS44/3t2MMaYismorY4zBqq38suBhjDFYtZVfFjyMMcb4ZsHDGGOMbxY8jDEmjLV9JMeChzHGhLG2j+RY8DDGGONbxoKHiFQTkTkiskhElorIrYHtTURktoh8IyJjRKRKnHM0FJEtInJVptJtjNm1WLVVcjJZ8tgK9FDV1kAboLeIdALuAR5S1WbARuD8OOd4CBif9pQaY3ZZVm2VnIwFD3W2BJ7mB24K9ADeCmx/CejndbyI9ANWAkvTnFRjjDEJZLTNQ0Qqi8hCYD0wAfgW2KSq2wO7rAH28ziuBnAtcGuC8w8RkXkiMq+4uDi1iTfG7BKs2io5GQ0eqrpDVdsA9YEOwMFeu3lsuxVXtbXF47Xw849U1SJVLSosLCx7go0xxnjKysSIqrpJRKYAnYCaIpIXKH3UB9Z6HNIROFVE7gVqAn+KyO+q+ljGEm2MMWanTPa2KhSRmoHH1YFewDJgMnBqYLfBwHvRx6pqN1VtrKqNgX8Af7fAYYwx2ZPJaqt6wGQRWQzMBSao6ge4tozhIrIC2Ad4DkBE+orIbRlMnzHGmCRlrNpKVRcDbT22r8S1f0RvHwuM9dg+Ih3pM8YYkzwbYW6MMcY3Cx7GGGN8s+BhjDHGNwsexhhjfLPgYYwxxjcLHsYYY3yz4GGMMdhsun5Z8DDGGOObBQ9jjMFm0/XLgocxxmDVVn5Z8DDGGOObBQ9jjMGqrfyy4GGMMVi1lV8WPIwxxvhmwcMYY4xvFjyMMSaMtX0kx4KHMcaEsbaP5GRyDfNqIjJHRBaJyFIRuTWwvYmIzBaRb0RkjIhU8Tj2aBGZLyJLAvc9MpVuY4wxJWWy5LEV6KGqrYE2QG8R6QTcAzykqs2AjcD5HsduAE5U1UOBwcArGUqzMWYXY9VWyclY8FBnS+BpfuCmQA/grcD2l4B+HscuUNW1gadLgWoiUjXNSTbG7IKs2io5GW3zEJHKIrIQWA9MAL4FNqnq9sAua4D9EpzmFGCBqm5NX0qNMcbEk9Hgoao7VLUNUB/oABzstVus40XkEFw110UxXh8iIvNEZF5xcXEqkmyM2cVYtVVystLbSlU3AVOATkBNEckLvFQfWOt1jIjUB94FzlbVb2Ocd6SqFqlqUWFhYeoTbowxBshsb6tCEakZeFwd6AUsAyYDpwZ2Gwy853FsTeBD4HpVnZGZFBtjjIklkyWPesBkEVkMzAUmqOoHwLXAcBFZAewDPAcgIn1F5LbAsUOBA4C/icjCwK12BtNujDEmTF7iXVJDVRcDbT22r8S1f0RvHwuMDTy+A7gj3Wk0xhiTHBthbowxxjcLHsYYA+Tnu/sqJea4MF4yVm1ljDHlWf/+sGgRXH99tlNSMVjwMMYYXMnjnnuynYqKw6qtjDHG+GbBwxhjjG8WPIwxxvhmwcMYY4xvFjyMMcb4ZsHDGGOMbxY8jDHG+GbBwxhjjG+iObrmoogUA99l6e0LcOuulzflNV1QftNm6fLH0uVfeUtbI1VNuCBSzgaPbBKReapalO10RCuv6YLymzZLlz+WLv/Kc9risWorY4wxvlnwMMYY45sFj/QYme0ExFBe0wXlN22WLn8sXf6V57TFZG0exhhjfLOShzHGGN8sePggIv1FZKmI/CkiJXpHiEhDEdkiIlfFOP5FEfm3iCwM3NoEtncXkc1h228uJ+kSEXlERFaIyGIROSyT6Qrb71ER2RL2/BwRKQ5L7wXlJF1VRWRM4HrNFpHGftKVirSJyHMisijw93pLRHYPbM/qNYuTrjJdsxSka5SIfC0iX4jI8yKSH9ie7e9krHSV6TuZShY8/PkCOBn4V4zXHwLGJzjH1araJnBbGLZ9Wtj228pJuo4DmgVuQ4AnM52uwBevpsdLY8LS+2w5Sdf5wEZVPSBwjtIsLVTWtF2hqq1VtRWwGhga9lo2r1msdJX1mpU1XaOAg4BDgepAeFDN5ncyVrrK+p1MGVtJ0AdVXQYgIiVeE5F+wErglwwnK53pOgl4WV3D2GciUlNE6qnqD5lIl4hUBu4DzgD+4j/5GU/XScCIwOO3gMdERNRHw2JZ06aqPwf2FVymk5JGzTSmq0zXLAXpGhe2/xygfjLvm8V0lek7mUpW8kgBEakBXAvcmsTudwaKmw+JSNWw7Z0DxfrxInJIOUnXfsD3YfusCWzLVLqGAmNjfDFOCasCaVDWNKUoXTuvl6puBzYD+2Q4bYjIC8B/cb9cHw17KZvXLFa60nLNfP7vE6gWOgv4KGxztr+TXulKy3eyNCx4RBGRTwP1jNG3k+IcdivwkKpuibMPwPW4L057YG/cPxHA57gpAVrjvlT/LCfpKvmzKeqXbLrSJSL7Av2JzPyC3gcaB6pAPgVe8jg+G+lKeL3Smbadb6h6LrAvsAw4LbA5a9csQbqy9j8W5QngX6o6LfA829/JWOlK6n8sI1TVbj5vwBSgKOz5NGBV4LYJ+AkYmuAc3YEPYry2CijIdrqAp4HTw177GqiXiXQBx+N+pQb3+xNY4XHuysDmTP0d46UL+BjoHHich5uvSLL4P3ak1/9Ypq9ZvHSl6pqVJV3ALbjgUCnO+VeR4e+kV7pI0XcyFTdr80gBVe0WfCwiI4AtqvpY9H7BuslAvW8/XKMaIlIXWKeqKiIdcCXCH7OdLmAsMFREXgc64jKcMtetJpMuVf0QqBu23xZ1jao70xt4qS/ul2yZlTVduOs1GJgFnApM0sA3PBNpC/z9mqrqisDjE4GvAq9l7ZrFSxdpumY+/vcvAI4Feqrqn2Hbs/2d9EwXafpOloZVW/kgIn8RkTVAZ+BDEfk4iWPGBao6AEaJyBJgCW4mzTsC208FvhCRRcAjwEA/X6A0pmscrmFvBfAMcGmyaUpRumIZJq4b5CJgGHBOOUnXc8A+IrICGA5c5yddKUibAC+F/S3rAcFeQtm8ZvHSVaZrloK/5VNAHWCWRHbJzfZ3Mla6yvSdTCUbYW6MMcY3K3kYY4zxzYKHMcYY3yx4GGOM8c2ChzHGGN8seBhjjPHNgocxxhjfLHgYY4zxzYKHMWkiYWt9JNjvUBH5TkQuSXeajEkVCx7GZJmqLgEGAmdnOy3GJMuChzFpJCKNRWSZiDwTmB7kExGp7rHreiAl034bkwkWPIxJv2bA46p6CG4m1VM89rkbqCoijTKaMmNKyYKHMen3bw0t7TsfaBz+ooj0BmoAH2KlD1NBWPAwJv22hj3eQdjyzyJSDbgXNzvqEqBlZpNmTOlY8DAmu27CrUm9CgsepgKx4GFMlojIgcDRwD8Cmyx4mArD1vMwxhjjm5U8jDHG+GbBwxhjjG8WPIwxxvhmwcMYY4xvFjyMMcb4ZsHDGGOMbxY8jDHG+GbBwxhjjG//D/zw9tZjdKBeAAAAAElFTkSuQmCC\n", + "image/png": 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", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ - "plt.xlabel(r'$\\mathrm{ln}\\,\\lambda$')\n", - "plt.ylabel(r'$\\mathrm{ln}\\,I_\\lambda$')\n", - "plt.plot(lnwl, lnI, 'b-')\n", - "plt.plot(lnwl, continuum, 'r-')\n", - "plt.show()" + "afig, mplfig = b.plot(show=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "It is clear that there is a pretty strong systematics here that we sweep under the rug. Thus, we need to revise the way we compute the spectral index and make it robust before we claim that we support boosting." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For fun, this is what would happen if we tried to estimate $B(\\lambda)$ at each $\\lambda$:" + "Let's plot the difference to make it clearer." ] }, { "cell_type": "code", - "execution_count": 72, - "metadata": {}, - "outputs": [], - "source": [ - "dlnwl = lnwl[1:]-lnwl[:-1]\n", - "dlnI = lnI[1:]-lnI[:-1]\n", - "B = dlnI/dlnwl" - ] - }, - { - "cell_type": "code", - "execution_count": 74, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", "text/plain": [ - "
" + "Text(0, 0.5, 'Flux difference [W/m$^2$]')" ] }, - "metadata": { - "needs_background": "light" + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] }, + "metadata": {}, "output_type": "display_data" } ], "source": [ - "plt.plot(0.5*(wl[1:]+wl[:-1]), B, 'b-')\n", - "plt.show()" + "plt.plot(b['times@model@boosting'].value,b['fluxes@model@boosting'].value-b['fluxes@model@noboosting'].value)\n", + "plt.xlabel('Phase')\n", + "plt.ylabel(r'Flux difference [W/m$^2$]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Numerical artifacts dominate and there is little hope to get a sensible (let alone robust) value using this method." + "A small effect which can be much larger for compact binaries not covered by the standard CK2004 atmosphere table!" ] }, { @@ -342,9 +279,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "tmap", "language": "python", - "name": "python3" + "name": "tmap" }, "language_info": { "codemirror_mode": { @@ -356,9 +293,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.2" + "version": "3.12.7" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 }