{
"cells": [
{
"cell_type": "markdown",
"id": "e7d996ee-25b8-467c-b755-6b8d5d7ed2e6",
"metadata": {},
"source": [
"# Some examples of lenstool usage on Jupyter Notebook\n",
"\n",
"## The SIS model (Singular Isothermal Sphere)\n",
"In this notebook we will showcase lensing modelling with Lenstool using the SIS model."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "2ec98e29-83d0-4169-86e0-33f6dcdf7cdf",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"from astropy.io import fits\n",
"import matplotlib.pyplot as plt\n",
"from astropy.wcs import WCS\n",
"from astropy.table import Table\n",
"from matplotlib.patches import Ellipse\n",
"from matplotlib.patches import Circle\n",
"import os\n",
"import matplotlib.cm as cm\n",
"from matplotlib.colors import Normalize\n",
"import numpy\n",
"import lenstool\n",
"from lenstool.potentials import sis"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "a261dee0",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"lt = lenstool.Lenstool()\n",
"lt.add_lens(sis(0.,0.,0.3,800))\n",
"lt.set_cosmology(70, 0.3, 0.7, -1)\n",
"lt.set_field(50)\n",
"lt.set_grid(1000, 1)"
]
},
{
"cell_type": "markdown",
"id": "7868fad7-52ca-45a3-ac4e-e0481d1f2edd",
"metadata": {
"tags": []
},
"source": [
"## The inputs\n",
"\n",
"We will first define the lens model. In this example, the lens is a single SIS potential. It is centered at (0,0) and has a redshift of 0.3.\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "0880def5-0182-482d-a3ad-763269e1e3f1",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"
Table length=1 \n",
"
\n",
"type n x y z \n",
"int64 str1 float64 float64 float64 \n",
"1 1 0.0 0.0 0.3 \n",
"
"
],
"text/plain": [
"\n",
" type n x y z \n",
"int64 str1 float64 float64 float64\n",
"----- ---- ------- ------- -------\n",
" 1 1 0.0 0.0 0.3"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lt.get_lenses()"
]
},
{
"cell_type": "markdown",
"id": "c70fc0a2-d357-4b60-a078-90950fa24603",
"metadata": {},
"source": [
"## The source definition\n",
"The source properties are coordinates in arcsec, size, redshift, orientation angle and magnitude (brightness).\n",
"These parameters must be given directly in the code .\n",
"Here we study a circular source of redshift 1 and magnitude 20. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "761a9d04-506b-4daa-90a7-b6d71f3a9813",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"Table length=1 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a 0.6789067 -9.7 3.5 3.5 0.0 1.0 20.0 \n",
"
"
],
"text/plain": [
"\n",
" n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64\n",
"---- --------- ------- ------- ------- ------- ------- -------\n",
" 1a 0.6789067 -9.7 3.5 3.5 0.0 1.0 20.0"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tab = Table(names=['n','x','y','a','b','theta','z','mag'], dtype=['str',*['float',]*7])\n",
"tab.add_row(['1a', 0.6789067, -9.7, 3.5, 3.5, 0, 1.0, 20])\n",
"lt.set_sources(tab)\n",
"lt.get_sources()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "68b2638d-98e9-4509-8746-2ec008e0ebbc",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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REYHg4GDzUl+r0oULF2A0GhEaGipZHxoaCr1eb7X8Tp06wc/PDwkJCZg2bZq5JQsAevTogZycHOzcuRO5ubnw9/fHoEGDcPr0aUXnwO48IiIisotJg+682sE2z507h6CgIPN6Pz+/BvfRybpdhRAW6+QOHDiAq1ev4tNPP8XcuXNx11134YknngAADBw4EAMHDjRvO2jQIPTt2xdr167FmjVr7D4XBlHUtJprDhRznlTTeTn+3hEm5rnYZOs92lxyppgjZZVJeMGkcrDM2v2DgoIkQVR9QkJC4O3tbdHqdP78eYvWKbmoqCgAQM+ePfHjjz9i0aJF5iBKzsvLC/369VPcEsVvdiIiInJJvr6+iI+PR0FBgWR9QUEBkpKS7C5HCFFvzlXd50tLS9GhQwdF9WNLFBEREdnFCB2MKgfLVLp/ZmYm0tLSkJCQgMTERGzcuBHl5eWYOnUqACArKwsVFRXYsmULAOD1119H586d0aNHDwC3x4169dVXMWPGDHOZixcvxsCBAxEdHQ2DwYA1a9agtLQUr7/+uqK6MYgiIiIiu2jZnWev1NRUXLx4EUuWLEFlZSXi4uKwa9cuREZGAgAqKytRXl7+v/JNJmRlZaGsrAw+Pj7o1q0b/vjHP+LZZ581b3P58mVMmTIFer0ewcHB6NOnD/bv34/+/fsrqptOCHb4ujuDwYDg4GAkYwx8dC2cXR0p5kA1K2ryltxVs823ai45UnW54M/lLXEThdiBqqoqm/lFatT+ziw+8iD8W6lrf7lx9RYWDtjb6HVuCmyJIiIiIrsYobw7rr4yPAWDKCIiIrKLM7rzXJnnnAkRERFRE2JLFJEWPDQHqjnmOCml9Bp5TA4V595rlozCC0aVLUlq93clDKKIiIjILgI6mFTmRAmV+7sSzwkHiYiIiJoQW6KIiIjILuzOk2IQRdprDmNDuXEOFPOcnEvJ9Xer/KnmkCPFefVgEjqYhLrvELX7uxL3/SUgIiIiciK2RBEREZFdjPCCUWX7i9r9XQmDKCIiIrILu/OkGESRep6aA+WmeU/MefIctl5Ll86Zsvb58ZR8KeZINXsMooiIiMguJnjBpLI7Tu3+roRBFBEREdnFKHQwquyOU7u/K2EQRcqx+86leGz3XWO+Hh7SnSR/7V26e68uTx0Ogd17zQ6DKCIiIrILE8ulGEQRERGRXYTwgknliOPCg0Ys95wzISIiImpCbIkicnFulfPkLnllWtbThfJ53HpIBHILRuhghMrEcpX7uxIGUURERGQXk1Cf0+RJsbyb/NlIRERE5FrYEkVERER2MWmQWK52f1fCIIps47hQTcqlcqBc9Bq5FKXXyIk5VHXfWy6VH8Vxo9yGCTqYVOY0qd3flfAbkoiIiMgBbIkiIiIiu3DaFykGUURERGQX5kRJMYii5sOF83uclgflwtfEY9m65k2UD+TS8+55ao4UeRwGUURERGQXEzSYO8+DEssZRBEREZFdhAZ35wkPCqLYlk9ERETkALZEkSVPGRfKhfJ9nDr2kwtdBwlXGg9Lzpn5QdZer0bMDXLpefc8JUfKA8aNMgkNuvN4dx4RERE1N7w7T8pzzoSIiIioCbElioiIiOzC7jwpBlHkOVwo96fZ5kC5cp6TEkrOoylzhZyYG+RS40p5So6UG+LceVKu86tDRERE5EYYRBEREZFdarvz1C5KrV+/HlFRUfD390d8fDwOHDjQ4LYHDx7EoEGD0K5dOwQEBKBHjx5YvXq1xXbvv/8+YmNj4efnh9jYWGzfvl1xvRhEERERkV2cEUTl5eUhIyMD8+bNQ0lJCQYPHowRI0agvLy83u0DAwMxffp07N+/HydPnsT8+fMxf/58bNy40bxNUVERUlNTkZaWhi+//BJpaWl47LHHcOTIEUV10wnhhgNVkITBYEBwcDCSMQY+uhbKC+C4UJpr0pyoxjxvT8lxciWNmUvUhLlBLjXXnqfkRDnwc3xL3EQhdqCqqgpBQUGNUKnban9nRux+Bi0CfVWVdfNaDT4Z/pbddR4wYAD69u2LDRs2mNfFxMRg7NixWL58uV3HHDduHAIDA/H//t//AwCkpqbCYDDgk08+MW8zfPhwtGnTBrm5uXafi+v86hAREZFL07IlymAwSJbq6mqL49XU1KC4uBgpKSmS9SkpKTh8+LBddS4pKcHhw4cxZMgQ87qioiKLMocNG2Z3mbUYRBEREZFdtAyiIiIiEBwcbF7qa1W6cOECjEYjQkNDJetDQ0Oh1+ut1rVTp07w8/NDQkICpk2bhsmTJ5uf0+v1DpUpxyBKA8uXL0e/fv3QunVr3HnnnRg7dixOnTol2UYIgUWLFiE8PBwBAQFITk7G119/LdmmS5cuKCwsRGFhIbp06dKEZ+DGdF7/W5xaDZ1k0bhw64saXjrri4Z0Op3bLppqzGvemO8Vi0M14nteeWVc4nuAlDl37hyqqqrMS1ZWVoPbyj+HQgibn80DBw7g888/xxtvvIHs7GyLbjpHypTjO04D+/btw7Rp0/Dpp5+ioKAAt27dQkpKCq5du2be5uWXX8aqVauwbt06HD16FGFhYRg6dCiuXLnixJoTERHZT+B/Y0U5utRmfgUFBUkWPz8/i+OFhITA29vbooXo/PnzFi1JclFRUejZsyeeeeYZPPfcc1i0aJH5ubCwMIfKlGMQpYHdu3dj4sSJuOeee9C7d29s3rwZ5eXlKC4uBnA7us3Ozsa8efMwbtw4xMXF4Z133sH169exdetWJ9eeiIjIPk19d56vry/i4+NRUFAgWV9QUICkpCS7yxFCSHKuEhMTLcrMz89XVCbAEcsbRVVVFQCgbdu2AICysjLo9XpJEpufnx+GDBmCw4cP49lnn3VKPYmIiFxdZmYm0tLSkJCQgMTERGzcuBHl5eWYOnUqACArKwsVFRXYsmULAOD1119H586d0aNHDwC3x4169dVXMWPGDHOZs2bNwn333YcVK1ZgzJgx2LFjB/bu3YuDBw8qqhuDKI0JIZCZmYlf/OIXiIuLAwBzk2F9SWxnz541Pz5z5ky9/5ervZOhlkNdgu46rIGL5Dw0ag5IY59jI9Zd8/whF2HtvDQfJabu66P1MAJ131saDwvgMtPCuPOUMHXfZwrfVxUVFZLfhdouMq05Y+681NRUXLx4EUuWLEFlZSXi4uKwa9cuREZGAgAqKyslY0aZTCZkZWWhrKwMPj4+6NatG/74xz9KGiySkpKwbds2zJ8/HwsWLEC3bt2Ql5eHAQMGKKobgyiNTZ8+HceOHas3mtUiiQ0ARo8ejX379jlcRyIi8iyxsbGSx0OGDEFhYaHmx3HWBMTp6elIT0+v97mcnBzJ4xkzZkhanRry61//Gr/+9a8V16UuBlEamjFjBnbu3In9+/ejU6dO5vVhYWEAbrdIdejQwbzekSQ2ANi5c6dFS5T8A0RERM3HiRMn0Lp1a/Pjxhx4k/6HQZQGhBCYMWMGtm/fjsLCQkRFRUmej4qKQlhYGAoKCtCnTx8AtwcQ27dvH1asWKH4ePJm2roBFRERNT8dO3ZsksDJWS1RropBlAamTZuGrVu3YseOHWjdurU5Byo4OBgBAQHQ6XTIyMjAsmXLEB0djejoaCxbtgwtW7bE+PHjnVx7spfb5kFpWO9GzXnycmK+m8nxvBlb10RVzpT8tdMyz6iRc4fqfl5caooYUkUIHYTKIEjt/q6EQZQGaufzSU5OlqzfvHkzJk6cCACYM2cOfv75Z6Snp+PSpUsYMGAA8vPzJc2vRERE5D4YRGnAnr80dTodFi1aJBnsi4iIyJ3UDpiptgxPwSCKiIiI7MKcKCkGUc2Fu47f4yLjQrkVFTlQ2s8T5yavn5J6Ksyf0jRnqjFzpDyVu44bJX/faD0eGWmCQRQRERHZhYnlUgyiiIiIyC7szpNyk7Z2IiIiItfCliiiBrjNuFDOzIFSk/Pkynl61vJPbJ2zypwpp+VINWLukMvMq0eqsTtPikEUERER2UVo0J3nSUEUu/OIiIiIHMCWKCIiIrKLgPrRFjypM5dBFNF/eWoOlKq8J6U5T1rmOTXmGFO28paUnIf8F0VlzpS118tmvhRzpKiRmaCDjiOWm7E7j4iIiMgBbIkiIiIiu/DuPCkGUZ7KlW8ft8ZTpnlh9536shuT0rpY64JTOj2H/NgKhkRQPByCm3TvNSl3PQ8XmQbGJHTQcbBNMxf6ViMiIiJyH2yJIiIiIrsIocHdeR50HwGDKCIiIrILc6KkGERRs9WoQxqo0ZT1spUbpDS/SkGukeopZxqRRa6RtfOS5zTZOi9bZSucNkaRuu8tFxpWgEMekLtiEEVERER2YUuUFIMoIiIisgvvzpPi3XlEREREDmBLFDkXx4W6TUUelOLcImv5PbbKUji+ktW6qc39snbNVY79o7Oyu6J8KcB2zpS18hROEWNz3CjJcVSOIeWu4y3Jecp5NBHenSfFIIqIiIjscjuIUpsTpVFlXICHNAMQERERNS22RBEREZFdeHeeFIMoIjfjSjlQNutiLe9JaR6Zohwqb+lDpfk+Xg3nxVjLlwLsyJlSkiOlcAwpVTlSRHYQ/13UluEp2J1HRERE5AC2RBEREZFd2J0nxSCKiIiI7MP+PAkGUZ5Ep1M+11kzoulceU4cF8p22Srmw9M6B8radbJ1DbR8L3vbGJtJzmSt3rK8JFm+lc28JCU5Uk05z54LjRvFufTsYH6f6DwqKHE3DKKIiIjIPhp058GDuvOYWE5ERER2qR2xXO2i1Pr16xEVFQV/f3/Ex8fjwIEDDW77wQcfYOjQoWjfvj2CgoKQmJiIPXv2SLbJycmBTqezWG7cuKGoXgyiiIiIyC61ieVqFyXy8vKQkZGBefPmoaSkBIMHD8aIESNQXl5e7/b79+/H0KFDsWvXLhQXF+P+++/Hww8/jJKSEsl2QUFBqKyslCz+/v6K6sbuPCIXp3hcKCUaOweq7vO2yrK2r9bkOTby/B1rOVTyfKnGzpFSgeNGkSdYtWoVJk2ahMmTJwMAsrOzsWfPHmzYsAHLly+32D47O1vyeNmyZdixYwf+9re/oU+fPub1Op0OYWFhqurGligiIiKyj9BpswAwGAySpbq62uJwNTU1KC4uRkpKimR9SkoKDh8+bFeVTSYTrly5grZt20rWX716FZGRkejUqRNGjRpl0VJlDwZRRERE1OQiIiIQHBxsXuprVbpw4QKMRiNCQ0Ml60NDQ6HX6+06zsqVK3Ht2jU89thj5nU9evRATk4Odu7cidzcXPj7+2PQoEE4ffq0onNgdx41LbVDA5AlNUMaWGyqYfed/Ng2trU4dmN2Y+qk3VoWORoWt9TX6WKTX26tu/ekG0sfN+WQB82VhkM1eCJHE8PlZQDAuXPnEBQUZF7v5+fX4D71fW7sSXXIzc3FokWLsGPHDtx5553m9QMHDsTAgQPNjwcNGoS+ffti7dq1WLNmjb2nwiCKiIiI7KThYJtBQUGSIKo+ISEh8Pb2tmh1On/+vEXrlFxeXh4mTZqE9957Dw8++KDVbb28vNCvXz/FLVEONQssX74cf/rTnyzW/+lPf8KKFSscKZKIiIhIwtfXF/Hx8SgoKJCsLygoQFJSUoP75ebmYuLEidi6dSseeughm8cRQqC0tBQdOnRQVD+Hgqg333wTPXr0sFh/zz334I033nCkSCIiInJxzhjiIDMzE2+//Tb+9Kc/4eTJk3juuedQXl6OqVOnAgCysrIwYcIE8/a5ubmYMGECVq5ciYEDB0Kv10Ov16Oqqsq8zeLFi7Fnzx58//33KC0txaRJk1BaWmou014Odefp9fp6o7X27dujsrLSkSKJNKfpNC+3C3R8XwV1UT2kgc28JgXnoSYHSra9ztvL+rbyemmZIyVP4pA91llMvSLLmTLWfSTbVmWOlIW618HalDCA4uSUuu8tm8MdaDkNjMq8Ik4D42Ka+PKnpqbi4sWLWLJkCSorKxEXF4ddu3YhMjISAFBZWSkZM+rNN9/ErVu3MG3aNEybNs28/qmnnkJOTg4A4PLly5gyZQr0ej2Cg4PRp08f7N+/H/3791dUN4eCqIiICBw6dAhRUVGS9YcOHUJ4eLgjRRIRERHVKz09Henp6fU+VxsY1SosLLRZ3urVq7F69WrV9XIoiJo8eTIyMjJw8+ZN/PKXvwQA/P3vf8ecOXMwe/Zs1ZUiIiIi1+NId1x9ZXgKh4KoOXPm4KeffkJ6ejpqamoAAP7+/njhhReQlZWlaQWJiIjIRWh4d54ncCiI0ul0WLFiBRYsWICTJ08iICAA0dHRVsd4ICKNKMlpssEi/0rDHChAlgcl39bbW/ZYYU6UtRwpGzlQFo+NsrKMkiQoyXlI86MAtTlSOtnuqqZm4bhRRE1K1bexXq/HTz/9hG7dusHPz4/zMhEREXk0nUaLZ3AoiLp48SIeeOAB3H333Rg5cqT5jrzJkyczJ4qIiMhTCY0WD+FQEPXcc8+hRYsWKC8vR8uWLc3rU1NTsXv3bs0qR0REROSqHMqJys/Px549e9CpUyfJ+ujoaJw9e1aTihE1J6rHhrJGwxwqRTlQ8u3lOVA+sseyegp5WfLzsDb2lnwcIVlukM5oY/wluTo5UvJztJkjpebP7kbMcVI0hx9RLSaWSzgURF27dk3SAlXrwoULTC4nIiLyVEJ3e1Fbhodw6E/U++67D1u2bDE/1ul0MJlMeOWVV3D//fdrVjkiIiIiV+VQS9Qrr7yC5ORkfP7556ipqcGcOXPw9ddf46effsKhQ4e0riMRERG5ACEUzzZUbxmewqEgKjY2FseOHcOGDRvg7e2Na9euYdy4cZg2bZriGZCJPJLW8/ZZozCfSpILo3RcKDlb40bVzYOS5UAJeU6UjZwp4SPLRbKS6yWfC093S/pY3JIlMsnHhWqwZMttLa6BPEfKYg46+8eNspmnpHIuPUXUzqVHnoE5URIOBVEAEBYWhsWLF2tZFyIiIiK3YXcQdezYMbsL7dWrl0OVISIiIhfGxHIJu4Ooe++9FzqdDkIISXdAbXNz3XVGeXM3ERERuT2duL2oLcNT2B1ElZWVmf9fUlKC559/Hr/73e+QmJgIACgqKsLKlSvx8ssva19LouZMy3Ge1JKPC2Ux956srnXHVLJ4Tpbz5Cf9OhK+0scm2fOmFg1fF6+b0jwjr+pbkse6Gmm9ddWyAuT5Pt51HsvyjnSyx0KeV2Y5kFTT4Vx6RI3K7iAqMjLS/P9HH30Ua9aswciRI83revXqhYiICCxYsABjx47VtJJERETkAphYLuFQYvnx48cRFRVlsT4qKgonTpxQXSkiIiJyQcyJknAoiIqJicHSpUuxadMm+Pv7AwCqq6uxdOlSxMTEaFpBcnPyrg134q51b8xpXmwNaWDlscU0LvIhDGTdd7da+Uoe32wle75lw+fpc13abdXiqnRbn6uyahplXXLyIRLqPrZ1zvJrZPGD4ZrTwDQqiy5ON6k3IK27O9WbmoRDQdQbb7yBhx9+GBEREejduzcA4Msvv4ROp8NHH32kaQWJiIjIRbA7T8KhIKp///4oKyvDn//8Z/zrX/+CEAKpqakYP348AgMDta4jERERuQIGURIOD7bZsmVLTJkyRcu6EBEREbkNh4Oo+lRWVuLmzZvo3LmzlsUS2UXXlFOteCq119BavpAsn0c+jYt8CAN5DtS1MGkO1dWIhuva6pz0uUC99Hn5EAi6m7JpX27JcnjqnofCaXYs2JomhmySf9YFp6BpOmyJktA0iPrlL3+Jb775hoNtEhEReSLenSehaRC1ZcsWXL9+XcsiiYiIiFySpvdw9+vXD0OGDNGySLeyfv16REVFwd/fH/Hx8Thw4ID5OSEEFi1ahPDwcAQEBCA5ORlff/21ZP8uXbqgsLAQhYWF6NKlSxPXnoiIyLraaV/ULp5C05ao5iwvLw8ZGRlYv349Bg0ahDfffBMjRozAiRMn0LlzZ7z88stYtWoVcnJycPfdd2Pp0qUYOnQoTp06hdatWzu7+tRcNfZYWJKcKFkeiyxHSj6Ni3wcKHkO1L+eWd/gYXu8lS557GeQliUfN8pLVheL/Dq1eVDWWLwGTIcgF8acKAmHvkHbtGmDtm3b2rU0F6tWrcKkSZMwefJkxMTEIDs7GxEREdiwYQOEEMjOzsa8efMwbtw4xMXF4Z133sH169exdetWZ1ediIiIHOBQS9SCBQuwdOlSDBs2TDIB8Z49e7BgwYJmFTwBQE1NDYqLizF37lzJ+pSUFBw+fBhlZWXQ6/VISUkxP+fn54chQ4bg8OHDePbZZ5u6ykRERKSSQ0HUoUOHsGTJEkyfPt28bubMmVi3bh327t2LDz/8UKv6uYULFy7AaDQiNDRUsj40NBR6vR56vd78WP782bNnzY/PnDlT7/+JiIhcgQ7qc5o85948B4OoPXv2YMWKFRbrhw0bZtEa05zoZHkTQgjJOlvP28tgMMBgMJgfX7lyRXEZRETkOSoqKiS/C0FBQQgKCnJijZoHh3Ki2rVrh+3bt1us//DDD9GuXTvVlXI3ISEh8Pb2Nrc41Tp//jxCQ0MRFhYGAA0+r9To0aMRERFhXmJjYx2vPBERub3Y2FjJ78Lo0aMb50C140SpXTyEQy1RixcvxqRJk1BYWGjOifr000+xe/duvP3225pW0B34+voiPj4eBQUFeOSRR8zrCwoKMGbMGERFRSEsLAwFBQXo06cPgNt5VPv27au3Rc+WnTt3WrREMZAiImq+Tpw4IbnTu9FaoXh3noRDQdTEiRMRExODNWvW4IMPPoAQArGxsTh06BAGDBigdR3dQmZmJtLS0pCQkIDExERs3LgR5eXlmDp1KnQ6HTIyMrBs2TJER0cjOjoay5YtQ8uWLTF+/HjFx5I309YNqIiIqPnp2LEju++cwOFxogYMGIB3331Xy7q4tdTUVFy8eBFLlixBZWUl4uLisGvXLkRGRgIA5syZg59//hnp6em4dOkSBgwYgPz8fI4RRc4lTLIV3vVu5nj5df7klM1vpjNJjy2fz87nuvSxfD48+VhQ0m2lx5KXZTF3nqwu8rpKzkNrFq8BkQtjS5SEw0HUd999h82bN+P7779HdnY27rzzTuzevRsRERG45557tKyj20hPT0d6ev1f7DqdDosWLcKiRYuatlJEREQa0WLEcU8asdyhxPJ9+/ahZ8+eOHLkCN5//31cvXoVAHDs2DEsXLhQ0woSERERuSKHgqi5c+di6dKlKCgogK+vr3n9/fffj6KiIs0qR0RERC5EaLQoZG1uWrkPPvgAQ4cORfv27REUFITExETs2bPHYrv3338fsbGx8PPzQ2xsbL2jDtjiUHfe8ePH652upH379rh48aIjRRKpJuQ5N/L5z8g2eS6Qt8JrKM8dkuREyfKQbsnylKpvSR7L57cLlI4QYjEfXl3yHKgWV6Vly48lr4u8rpLzUJsfJb/GpJj8s05NyAk5UbbmppXbv38/hg4dimXLluGOO+7A5s2b8fDDD+PIkSPmO+SLioqQmpqKP/zhD3jkkUewfft2PPbYYzh48KCiG+Qcaom64447UFlZabG+pKQEHTt2dKRIIiIiIgvW5qatT3Z2NubMmYN+/fqZ74aPjo7G3/72N8k2Q4cORVZWFnr06IGsrCw88MADyM7OVlQ3h4Ko8ePH44UXXoBer4dOp4PJZMKhQ4fw/PPPY8KECY4USURERC6uNrFc7QL8b/aN2qW6utrieLVz09adexb439y09jCZTLhy5YpkXt+ioiKLMocNG2Z3mbUcCqJeeukldO7cGR07dsTVq1cRGxuL++67D0lJSZg/f74jRRIREZGr03DE8oiICAQHB5uX5cuXWxzO1ty09li5ciWuXbuGxx57zLxOr9erKrOWQzlRLVq0wLvvvos//OEP+OKLL2AymdCnTx9ER0c7Uhx5MvkYODqH4nbncNe6y/N5vFTUW57/I89Fkd+rbCUnSmeU1kvcMkqLqpHmX/lclRYlH9tJnjNlbVuLHKga6WPI62JUkBNl6xppOcaU/LV1F+48FpY7193FnTt3TjJAqJ+fX4PbOjr3bG5uLhYtWoQdO3bgzjvv1KTMuhweJwoAunbtiq5du6opgoiIiNyFhonl9kySbGtuWmvy8vIwadIkvPfee3jwwQclz4WFhWkyn62mf1rv2LEDW7Zs0bJIIiIichFa5kTZo+7ctHUVFBQgKSmpwf1yc3MxceJEbN26FQ899JDF84mJiRZl5ufnWy2zPqpaouReeOEFnD59msnlRFrSsntOLVnXhpDNxm4xfYqxzvPyZnKjrAtNllOqM8qGrLgp3d7LynWQ18NiCANZ9528LhbXvG73nkl+DeTddy7U/eOu3X9EdVibmxYAsrKyUFFRYW7Eyc3NxYQJE/Daa69h4MCB5hangIAABAcHAwBmzZqF++67DytWrMCYMWOwY8cO7N27FwcPHlRUN02/jf/1r3/BKP8yIiIiIs/ghME2U1NTkZ2djSVLluDee+/F/v37JXPTVlZWory83Lz9m2++iVu3bmHatGno0KGDeZk1a5Z5m6SkJGzbtg2bN29Gr169kJOTg7y8PEVjRAGATlj8GUXuxmAwIDg4GMm6sfDRtXB2daxrwuRszQfbVFJ3hcdWlMwob4Gxta9se8mx5PWUn6PF87LH3tIJi3XyutV93ke6rZA9lpdlub20bNGILVE6+fN1H8u2FRatVrJ9bSaeNzz5scXXs62WJaXbS3ZV+FOgZMBLjVvnmnSwTVdqWazHLXETheJDVFVV2cwvUqP2d6brgmXw9vdXVZbxxg18/4cXG73OTcGhX7Tdu3dLmrxef/113HvvvRg/fjwuXbqkWeWIiIiIXJVDQdTvfvc7GAwGALengJk9ezZGjhyJ77//HpmZmZpWkMgtmYR0aUxCSBebmwvzYlFPYZIuts7DYn/ZYjT+b7klXXTy5eYtyYKam5JFd0O6eN2oaXCRb2tRluxY8rrI6yo5D/k5Kr5G1q+x5PXR+LVXpSnf0+S6nNCd58ocSiwvKytDbGwsgNsT+I0aNQrLli3DF198gZEjR2paQSIiInIRGg5x4Akcaony9fXF9evXAQB79+41D53etm1bcwsVERERkSdzqCXqF7/4BTIzMzFo0CB89tlnyMvLAwB888036NSpk6YVJCIiItegdJynhsrwFA4FUevWrUN6ejr++te/YsOGDejYsSMA4JNPPsHw4cM1rSBRc1A3/0XptAM2NeY0MJCNmSS7MU3nXedYtoY/8ZaNCyWvt/y6WLtOtqZmkT+WT/Ni5Q47YTEljJUpYtRqxHGeeGM2kXoOBVGdO3fGRx99ZLF+9erVqitERERE5A4cHrHcaDTiww8/xMmTJ6HT6RATE4MxY8bAWz7WCxEREXkGJpZLOBREffvttxg5ciQqKirQvXt3CCHwzTffICIiAh9//DG6deumdT2JiIjIyZgTJeVQEDVz5kx069YNn376Kdq2bQsAuHjxIp588knMnDkTH3/8saaVJKI6NMxxkufF6OQpOF7y0bTlI5rLS2w4R0qSHwXYHtlbSQ6ULbZyouTXVPa8JA/KVg6UghHJb+/uHjlURGTJoSBq3759kgAKANq1a4c//vGPGDRokGaVIyIiIhfjQS1JajkURPn5+eHKlSsW669evQpfX1/VlSIiIiIXxJwoCYeCqFGjRmHKlCnYtGkT+vfvDwA4cuQIpk6ditGjR2taQSIi4HZvXnzPcIx6IBo9uoXAz88H167XoPh4JT76+zc4XfaTs6tIRM2MQ0HUmjVr8NRTTyExMREtWrQAANy8eRNjxozBa6+9pmkFiRwln+ld56Vy/KW6uS06hXlI8jwZK3WxyFNSmgtkK7eobt6MrXwqi3o7niMlH0NKfg10VurdsUMQfp95Pzp3vAPfnbmInXtO4vrPN3FHcACSk6KQcl83fHH8Byxfsw9Xr9VYPyfAMudJSV6Tyhwom6zlNanMn1KUf6V2fjz5dVBVlAc1Xbg5JpZLORRE3XHHHdixYwe+/fZbnDhxAgAQGxuLu+66S9PKERF17BCElYtG4HLVDTy3cBf+dfo/kue3/KUEA+MjMPOZRLy8YBieX7wb13++6aTaEnk4dudJOHxbz6ZNmzB27Fg8+uijePTRRzF27Fi8/fbbWtaNiJo5nQ5Y8Nz9uFx1A88v/sQigAIAkxA4/Hk55izZjZB2gZj22wFOqCkRNUcOBVELFizArFmz8PDDD+O9997De++9h4cffhjPPfcc5s+fr3UdiaiZ6n1PB0R2ugNrNxXZ7KYrr6jCn/9aivsGRqHNHQFNVEOi5qW2O0/t4ikc6s7bsGED3nrrLTzxxBPmdaNHj0avXr0wY8YMLF26VLMKkoeR50kozS0iS7bGjbKVIyXZ1EY+lqocKfn8dLJjy98LXjqMerA7ys7+hK9O6husc117932L36b2xfDku7D1gy8b3tBWHpNc3euiMgdKUV6SrW05LpT2NMzl8kjszpNw6BfMaDQiISHBYn18fDxu3bqlulJERABwd7cQfFp8zu7tr12vwbETetzdNaQRa0VEdJtDQdSTTz6JDRs2WKzfuHEjfvOb36iuFBERAPj7+eDnG8qSxK/fuAk/f4enBSUia4RGi4dw+Jtm06ZNyM/Px8CBAwEAn376Kc6dO4cJEyYgMzPTvN2qVavU15KoGVM95IE1NroCte3eszHMg3wMBKHD1WvVaBPsbzlFjBVt7wiAwXDD+j42u8msPK91910jdslpOqUMETjEgZxDQdRXX32Fvn37AgC+++47AED79u3Rvn17fPXVV+btNP2yJ6Jm52jJOQxJ6opNf/4Mt27ZDjZC72yFuB5heO3NA01QOyJq7hwKov75z39qXQ8iIgsf7zmJ0cPvwX2JXfGPA9/a3H708Htw7XoNCg9+1wS1I2qGmFguwVujiMhlnf33ZRz67AymTU7CXV3bWd12SFJXPPJQHLZ//BWqa+zv/iMiBZgTJcEgypMI8b+FLAiTkCwqC5MuSpmEdNGSySRd5Ky9T2zsK4SQLJb7y85Lfp3qLvJt5YvRBBhNeDX7nzj378t4ZdEopD7SG8Gt/STn0DEsCP/324F4Ydb9+MeBb5H71y+k5yj+V5Z5sXVsJfVWfI0a7/VRRe17Uu1nQlKUhp9VT8Xve5fAW1iIyKX9fOMmXlj4EZ79bSLG/6oPnny0L77+14+4/nMN2twRgJi7Q2G4cgNbtn2OvO2l/E0hakRMLJdiEEVELq+6+hbWbDyIP209ipT770aP6Dvh7+cD/Y9X8NGekzhQ9D1q2IVH1PiYEyXBIIqI3MbVq9X44G/HnV0NIiIADKKI3I7icaOsjQVla0oYheNIyemspcbIx5SyRd7QZG3KILVTd1jJw1E89pKt3CVr5SnMe+K4UNTY2J0nxSCKiIiI7MPuPAnenUdERETkALZEERERkX3YEiXBIIqcS567Yi3PxZWpPY+6OTjyOeVsHVpNjpQsx0lxjpScgpwpq/lSdmm8u/EU5RYpHa9Jw7n0VOVAaTFWmifwlPNoIrr/LmrL8BRu+otFRERE5FxsiSIiIiL7sDtPgi1RREREZJfaIQ7ULkqtX78eUVFR8Pf3R3x8PA4cONDgtpWVlRg/fjy6d+8OLy8vZGRkWGyTk5MDnU5nsdy4cUNRvRhEUbPlsvNzNea8ehbHUjCPW32LrfIUzMPnSoua81J9zRpTU72vFHLZzyK5hLy8PGRkZGDevHkoKSnB4MGDMWLECJSXl9e7fXV1Ndq3b4958+ahd+/eDZYbFBSEyspKyeLv76+obgyiiIiIyD5Co0WBVatWYdKkSZg8eTJiYmKQnZ2NiIgIbNiwod7tu3Tpgtdeew0TJkxAcHBwg+XqdDqEhYVJFqUYRBEREZH9NAqgDAaDZKmurrY4VE1NDYqLi5GSkiJZn5KSgsOHD6s6jatXryIyMhKdOnXCqFGjUFJSorgMBlFERETU5CIiIhAcHGxeli9fbrHNhQsXYDQaERoaKlkfGhoKvV7v8LF79OiBnJwc7Ny5E7m5ufD398egQYNw+vRpReXw7jxPZWu8H1fFcaMsyXNEbIwjpXjcKMmxrM+VV8/BpI+tHUtpvo+tY6uhZe6R1nPpWT2U0mNpmF/kKeMpuet5uMi8iFrOnXfu3DkEBQWZ1/v5+TW8j+y7RQih7LtNZuDAgRg4cKD58aBBg9C3b1+sXbsWa9assbscBlFERERkHw2HOAgKCpIEUfUJCQmBt7e3RavT+fPnLVqn1PDy8kK/fv0Ut0S56Z/5RERE5Ol8fX0RHx+PgoICyfqCggIkJSVpdhwhBEpLS9GhQwdF+7Eliui/5LdW6xROv2KjcOljJ3bvSaqhZIqY+tiaNsYatcduTKqmU1FXb6dO5SKpSONdfw5j4L607M6zV2ZmJtLS0pCQkIDExERs3LgR5eXlmDp1KgAgKysLFRUV2LJli3mf0tJSALeTx//zn/+gtLQUvr6+iI2NBQAsXrwYAwcORHR0NAwGA9asWYPS0lK8/vrriurGIIqIiIjs44QRy1NTU3Hx4kUsWbIElZWViIuLw65duxAZGQng9uCa8jGj+vTpY/5/cXExtm7disjISJw5cwYAcPnyZUyZMgV6vR7BwcHo06cP9u/fj/79+yuqm06o+rOHXIHBYEBwcDCSMQY+uhb1b+QuieVyTkws17QlyrJw7cpSUU81iZm3j63iPFz5PcmWKM9tifKwxPJb4iYKsQNVVVU284vUqP2d6TlpGbx9lQ1IKWesuYHjm15s9Do3BbZEERERkV2c0Z3nyhhEETXAU3OkJNVQMxwCoDxnSnpwZcdyFRrnarHlidyKE7rzXBnvziMiIiJyAFuiiIiIyD5siZJgEEVERER2YU6UFIOo5oLTwDQfGuZIyWmeM1VXY07zYksjjkml6Q3QzC1SzsPuxiPXwiCKiIiI7MPuPAm3+rP+0qVLSEtLM8/4nJaWhsuXL0u22blzJ+6++250794df/vb3yTPlZeX4+GHH0ZgYCBCQkIwc+ZM1NTUSLY5fvw4hgwZgoCAAHTs2BFLliyR/CWZk5OD5ORk8+O33noLgwcPRps2bdCmTRs8+OCD+Oyzzyzqvn79ekRFRcHf3x/x8fE4cOCA5Pnk5GTk5OTgzJkz6sfuISIiagQ6ITRZPIVbBVHjx49HaWkpdu/ejd27d6O0tBRpaWnm56urqzFt2jSsX78e69atQ3p6OqqrqwEARqMRDz30EK5du4aDBw9i27ZteP/99zF79mzz/gaDAUOHDkV4eDiOHj2KtWvX4tVXX8WqVasarFNhYSGeeOIJ/POf/0RRURE6d+6MlJQUVFRUmLfJy8tDRkYG5s2bh5KSEgwePBgjRoywGGGViIiI3IfbdOedPHkSu3fvxqeffooBAwYAuN0KlJiYiFOnTqF79+6oqamBl5cX7r33XgCAt7c3bt68CT8/P+Tn5+PEiRM4d+4cwsPDAQArV67ExIkT8dJLLyEoKAjvvvsubty4gZycHPj5+SEuLg7ffPMNVq1ahczMzHpbiN59913J47feegt//etf8fe//x0TJkwAAKxatQqTJk3C5MmTAQDZ2dnYs2cPNmzYgOXLlzfWJSON1R3rRvPRzOvmbWid96UiR0pO85ypupw5V54KjTrpQ2PmQDVyrhDHhvJQ7M6TcJuWqKKiIgQHB5sDKAAYOHAggoODcfjwYQBA69at8fTTT6NDhw4IDw9Heno6WrVqZd4/Li7OHEABwLBhw1BdXY3i4mLzNkOGDIGfn59kmx9++ME8344t169fx82bN9G2bVsAQE1NDYqLi5GSkiLZLiUlxVxvIiIid1B7d57axVO4TUuUXq/HnXfeabH+zjvvhF6vNz9euHAhMjIy4OXlhdatW0v2Dw0Nlezbpk0b+Pr6mvfX6/Xo0qWLZJvaffR6PaKiojBx4kRMnDixwXrOnTsXHTt2xIMPPggAuHDhAoxGo8WxQ0NDJfUuLCw0/5/TGRIREbk+pwdRixYtwuLFi61uc/ToUQD1dxUIISzWBwcH11uOPfvLt6kNaOzppnj55ZeRm5uLwsJC+PtLJ2isr1xHuz4MBgMMBoP58ZUrVxwqh4iIPENFRYXkdyEoKKhxJvdld56E04Oo6dOn4/HHH7e6TZcuXXDs2DH8+OOPFs/95z//sWjlqU9YWBiOHDkiWXfp0iXcvHnTvH9YWJikdQgAzp8/DwA2j/Hqq69i2bJl2Lt3L3r16mVeHxISAm9v73rLtafe9Rk9ejT27dvn0L5mdVu73OluQBcZN8pt5tWrT926a5zbZa0V1Z3vOm3S1mE3zYNymRwodx0XClA1NlRsbKzk8ZAhQyQ9HFrhYJtSTg+iQkJCEBISYnO7xMREVFVV4bPPPkP//v0BAEeOHEFVVRWSkpLs2v+ll15CZWUlOnToAADIz8+Hn58f4uPjzdu8+OKLqKmpga+vr3mb8PBwi26+ul555RUsXboUe/bsQUJCguQ5X19fxMfHo6CgAI888oh5fUFBAcaMGWOz3vXZuXOnRUuU/ANERETNx4kTJyQpLI3SCkUWnB5E2SsmJgbDhw/HM888gzfffBMAMGXKFIwaNQrdu3e3uX9KSgpiY2ORlpaGV155BT/99BOef/55PPPMM+Y32/jx47F48WJMnDgRL774Ik6fPo1ly5bh97//fYN/Rb/88stYsGABtm7dii5duphbnFq1amVOas/MzERaWhoSEhKQmJiIjRs3ory8HFOnTnXoWsibaesGVERE1Px07NixaQIndudJuE0QBdweTmDmzJnmO91Gjx6NdevW2bWvt7c3Pv74Y6Snp2PQoEEICAjA+PHj8eqrr5q3CQ4ORkFBAaZNm4aEhAS0adMGmZmZyMzMbLDc9evXo6amBr/+9a8l6xcuXIhFixYBAFJTU3Hx4kUsWbIElZWViIuLw65duxAZGanwChARETkPu/OkdIK3grk9g8GA4OBgJGMMfHQtlBfgxrkqEi40r57m40hZP1jjld2U59FcuGnOk+WhXOinw53zoOpy4Of4lriJQuxAVVVVo7ZE1f7OxKe+BG9ff9s7WGGsuYHivHmNXuem4FYtUURERORE7M6TYBBFREREdvOk7ji1GESRZROyp3TvNReNOSSC0i6b5tj958xuLU/pxmqumE3j9hhEERERkX2EUB/8eVDwyCCKiIiI7MK786Rc53YmIiIiIjfClijyHC4yJQzQyNPC2D649HFTXgcl+UGunD/lSrfv1+XEHCgOaUAAeHeeDIMoIiIisovOdHtRW4anYHceERERkQPYEkVERET2YXeeBIMosuQp40a5cI6UXKPmTFnLH3HmVDmulGPjSpyU7+NSOU9ynpID5QG39vPuPCl25xERERE5gC1RREREZB8OtinBIIqIiIjswu48KQZR1Hy4UI6UXN18FKeOKSXnQtfIY7hIfg9zoIjUYxBFRERE9uHdeRIMooiIiMgu7M6TYls9ERERubT169cjKioK/v7+iI+Px4EDBxrctrKyEuPHj0f37t3h5eWFjIyMerd7//33ERsbCz8/P8TGxmL79u2K68UgimyrvRtDi7syXIkwSRcXIUxCsji5MsqW5siNrpHLvK/kXOgaacoTvzvl5+TookBeXh4yMjIwb948lJSUYPDgwRgxYgTKy8vr3b66uhrt27fHvHnz0Lt373q3KSoqQmpqKtLS0vDll18iLS0Njz32GI4cOaKobjohPOWVbb4MBgOCg4ORjDHw0bVo/AO66+CbtrhoEnWTJpqr5aLXsFG50Y++ywVPtdzoGirSBD+vt8RNFGIHqqqqEBQU1GjHqf2dSRyxBD4t/FWVdevmDRR98nu76zxgwAD07dsXGzZsMK+LiYnB2LFjsXz5cqv7Jicn495770V2drZkfWpqKgwGAz755BPzuuHDh6NNmzbIzc21+1ya4TceEREROZvBYJAs1dXVFtvU1NSguLgYKSkpkvUpKSk4fPiww8cuKiqyKHPYsGGKy2QQRURERPYRGi0AIiIiEBwcbF7qa1W6cOECjEYjQkNDJetDQ0Oh1+sdPg29Xq9Jmbw7j8jFOXXePaW07JZpzK5BD+0+ctnuOvIYWt6dd+7cOUl3np+fX8P7yNJIhBAW6xTXQ4MyGUQRERFRkwsKCrKZExUSEgJvb2+LFqLz589btCQpERYWpkmZ7M4jIiIi+5iENoudfH19ER8fj4KCAsn6goICJCUlOXwaiYmJFmXm5+crLpMtUURERGQfJ4xYnpmZibS0NCQkJCAxMREbN25EeXk5pk6dCgDIyspCRUUFtmzZYt6ntLQUAHD16lX85z//QWlpKXx9fREbGwsAmDVrFu677z6sWLECY8aMwY4dO7B3714cPHhQUd0YRJFy8tt2PWXIAxeeW88aeR6MS+VIqeGheUtactscKE99bTliUKNITU3FxYsXsWTJElRWViIuLg67du1CZGQkgNuDa8rHjOrTp4/5/8XFxdi6dSsiIyNx5swZAEBSUhK2bduG+fPnY8GCBejWrRvy8vIwYMAARXXjOFEeoMnHiZLzlCBKzk2CKDmPCaLIJgZRLsYJP6dNPU7UoAcXw8dH5ThRt27g0N6FjV7npsCWKCIiIrKPFqOve1DbDYMoUq+5dO/V5cKtVG41JAJZ5bYtTYDntjbV5UHBADmGQRQRERHZRctxojwBgygiIiKyjxPuznNlrtsnQUREROTC2BJF2qubJ+Ap+VFybjocAqAsz4b5U9pz6zwna5gD1SzohIBO5XVQu78rYRBFRERE9jH9d1Fbhodwnz+fiYiIiFwIW6KIiIjILuzOk2IQRaQFN86RskZp/k5zzKHy2BwnW5pDDhRZ4t15Ep7xTU9ERETUxNgSRURERPbhtC8SDKKIiIjILhyxXIpBFDUuT51XzxYPzZGypTHzg9TkWzXbvCUtNdccKA9qNSHtMYgiIiIi+7A7T4JBFBEREdlFZ7q9qC3DUzSPPgYiIiIijbElipoWc6Tq10xyptRgXlMja645T3Ie1NXUKNidJ8EgioiIiOzDwTYl+OcvERERkQPYEkVERER24dx5UgyiyLmaa46UXN18FOZHUVNgDtRtHvSD3iSYEyXBb2siIiIiB7AlioiIiOwjAKhtxPSchigGUeRi2L3H4RBIO+yys+RBXUnOwJwoKX4bExERETmALVFERERkHwENEss1qYlLYBBFRERE9uHdeRIMosi1MUfKktI8F+ZQeQ7mOCnnQT/Y5HoYRBEREZF9TADU/i3rQX8LMIgiIiIiu/DuPCm28xMRERE5gC1R5F6YI6WctTwa5ku5HuY9qeNBrRwuiYnlEgyiiIiIyD4MoiT4ZygRERGRA9gSRURERPZhS5QEW6LIvdV+oD3oQ9mkhEndQpZ4TZsevweajkmjRaH169cjKioK/v7+iI+Px4EDB6xuv2/fPsTHx8Pf3x9du3bFG2+8IXk+JycHOp3OYrlx44aiejGIagTLly+HTqdDRkaGeZ0QAosWLUJ4eDgCAgKQnJyMr7/+WrJfly5dUFhYiMLCQnTp0qVpK01EROSC8vLykJGRgXnz5qGkpASDBw/GiBEjUF5eXu/2ZWVlGDlyJAYPHoySkhK8+OKLmDlzJt5//33JdkFBQaisrJQs/v7+iurGIEpjR48excaNG9GrVy/J+pdffhmrVq3CunXrcPToUYSFhWHo0KG4cuWKk2pKRESkTO04UWoXJVatWoVJkyZh8uTJiImJQXZ2NiIiIrBhw4Z6t3/jjTfQuXNnZGdnIyYmBpMnT8bTTz+NV199VXouOh3CwsIki1IMojR09epV/OY3v8Fbb72FNm3amNcLIZCdnY158+Zh3LhxiIuLwzvvvIPr169j69atTqwxERGRAnW7TtUsAAwGg2Sprq62OFxNTQ2Ki4uRkpIiWZ+SkoLDhw/XW8WioiKL7YcNG4bPP/8cN2/eNK+7evUqIiMj0alTJ4waNQolJSWKLweDKA1NmzYNDz30EB588EHJ+rKyMuj1esmL6ufnhyFDhjT4JiAH1PMhpUamNv/HWblB7lpvuo2fdY8QERGB4OBg87J8+XKLbS5cuACj0YjQ0FDJ+tDQUOj1+nrL1ev19W5/69YtXLhwAQDQo0cP5OTkYOfOncjNzYW/vz8GDRqE06dPKzoH3p2nkW3btuGLL77A0aNHLZ6rfaHre1HPnj1rfnzmzJl6/09EROQSTALQqQxcTbf3P3fuHIKCgsyr/fz8GtxFJxtYWQhhsc7W9nXXDxw4EAMHDjQ/P2jQIPTt2xdr167FmjVr7DwRBlGaOHfuHGbNmoX8/HyrSWlK3wQNqW36rMW8KiKi5q2iokLyuxAUFCQJUDSj4RAH9tQxJCQE3t7eFq1O58+ft2iYqBUWFlbv9j4+PmjXrl29+3h5eaFfv36KW6LYnaeB4uJinD9/HvHx8fDx8YGPjw/27duHNWvWwMfHx/xCK3kTWDN69GhERESYl9jYWE3Og4iI3FNsbKzkd2H06NHOrpImfH19ER8fj4KCAsn6goICJCUl1btPYmKixfb5+flISEhAixYt6t1HCIHS0lJ06NBBUf3YEqWBBx54AMePH5es++1vf4sePXrghRdeQNeuXREWFoaCggL06dMHwO1kuX379mHFihWKj7dz506LligGUvWw9dcS591zbcwvar6Y56TYiRMn0Lp1a/PjRmmFAgBokYembP/MzEykpaUhISEBiYmJ2LhxI8rLyzF16lQAQFZWFioqKrBlyxYAwNSpU7Fu3TpkZmbimWeeQVFRETZt2oTc3FxzmYsXL8bAgQMRHR0Ng8GANWvWoLS0FK+//rqiujGI0kDr1q0RFxcnWRcYGIh27dqZ12dkZGDZsmWIjo5GdHQ0li1bhpYtW2L8+PGKjydvAq0bUBERUfPTsWPHRgyc6nDCiOWpqam4ePEilixZgsrKSsTFxWHXrl2IjIwEAFRWVkrGjIqKisKuXbvw3HPP4fXXX0d4eDjWrFmDX/3qV+ZtLl++jClTpkCv1yM4OBh9+vTB/v370b9/f0V1YxDVRObMmYOff/4Z6enpuHTpEgYMGID8/HzJXw5ERERkKT09Henp6fU+l5OTY7FuyJAh+OKLLxosb/Xq1Vi9erXqejGIaiSFhYWSxzqdDosWLcKiRYucUh+qh/yvIXbvETkHu+/ch0lAaXdc/WV4BgZRREREZB8txkPzoHxH3p1HRERE5AC2RBEREZF9nJBY7soYRBHVYo4UUdPwoB/RZoc5URLsziMiIiJyAFuiiIiIyD7szpNgEEVERET2EdAgiNKkJi6BQRRRQ6x9UTBfisg6D2ptIGoIgygiIiKyD7vzJBhEERERkX1MJgAqB8s0cbBNIiIiomaNLVFEjrDVHM2cKfJ0HtQlQwqwO0+CQRQRERHZh0GUBLvziIiIiBzAligiIiKyD6d9kWAQRdQYmDNF7s6DulxIO0KYIIS6u+vU7u9K2J1HRERE5AC2RBEREZF9hFDfHedBrZwMooiIiMg+QoOcKAZRRKQK5+UjZ/OgHzIiZ2EQRURERPYxmQCdysRwD0osZxBFRERE9mF3ngSDKCJXw+ERSCse9GNF5IoYRBEREZFdhMkEobI7z5PGiWIQRURERPZhd54EB9skIiIicgBboojcjdK/4phD5Tk86C94clMmAejYElWLQRQRERHZRwgAaoc48Jwgit15RERERA5gSxQRERHZRZgEhMruPOFBLVEMoog8nZovLOZTac+DfkCoGRImqO/O85whDtidR0REROQAtkQRERGRXdidJ8UgioiIiOzD7jwJBlEeoDaq/3/n1iEoKMjJtSEioqZiMBgQEbGjyVp3buGm6gHLb+GmNpVxAQyiPMCVK1cAABEREU6uCREROcOVK1cQHBzcaOX7+voiLCwMB/W7NCkvLCwMvr6+mpTlTDrhSZ2TzZTJZMIPP/yA1q1bQ8e7qexWUVGB2NhYnDhxAh07dnR2dchBfB09A19HxwghcOXKFYSHh8PLq3HvFbtx4wZqamo0KcvX1xf+/v6alOVMbInyAF5eXujUqZOzq+F2DAYDAKB169bsBnVjfB09A19HxzVmC1Rd/v7+HhH4aIlDHBARERE5gEEUERERkQMYRFGzFRQUhCFDhrDrwM3xdfQMfB3JHTGxnIiIiMgBbIkil3XmzBkkJCQ4uxpE1AB+Rqm5YxBFRERE5AAGUeTSbt68iaeeegoxMTFITU3VfFTeM2fOoHfv3pg4cSJiY2Pxf//3f/jwww8xYMAA3HPPPTh9+rSmx7t69SqGDx+Onj17omfPntizZ4+m5ZMUr3fja8zPKD+f5OoYRJHTrV+/HlFRUfD390d8fDwOHDhgfu7kyZPIysrCiRMn8OOPP+LgwYN272vvNrXHOH78OAoLC3Ho0CEcOXIEM2bMwLp16xSVtXz5cvTr1w+tW7fGnXfeibFjx+LUqVPm5/fs2YN27drh+PHjOHbsGBITEx2+bs2FrWtu7Xleb+tsvV83bNiAXr16ISgoCEFBQUhMTMQnn3wiKcPaZ3TRokXQ6XSSJSwszPz8lStXkJGRgcjISAQEBCApKQlHjx6tt3xbn09bxwKAW7duYf78+YiKikJAQAC6du2KJUuWwGS6PZcb3y+kmCByom3btokWLVqIt956S5w4cULMmjVLBAYGirNnz4qysjIRFxdn3jYjI0Ns2bLFrn3t3UZ+jEceeUTs3r1bCCHEoUOHxOjRoxUdb9iwYWLz5s3iq6++EqWlpeKhhx4SnTt3FlevXhVCCHHq1CkREREhfve734nDhw9rfDU9j61rbut5Xm/rbL1fd+7cKT7++GNx6tQpcerUKfHiiy+KFi1aiK+++koIYfn5kX9GFy5cKO655x5RWVlpXs6fP29+/rHHHhOxsbFi37594vTp02LhwoUiKChI/Pvf/663fGufT1vHEkKIpUuXinbt2omPPvpIlJWViffee0+0atVKZGdnCyH4fiHlGESRU/Xv319MnTpVsq5Hjx5i7ty5oqysTMTHx5vXz549W2zevNmufe3dRn6MX/3qV+Kf//ynEEKIoqIi8dBDDyk6ntz58+cFALFv3z7zugsXLoh33nlH9OvXT6xdu7bBfcn2NbfnNeH1tl9971e5Nm3aiLffflsIYfn5kX9GFy5cKHr37l1vOdevXxfe3t7io48+kqzv3bu3mDdvXr3lW/t8WjtWrYceekg8/fTTknXjxo0TTz75pPkx3y+kBLvzyGlqampQXFyMlJQUyfqUlBQcPnxY9b5qyteqrlVVVQCAtm3bAgB++OEHBAYGYsKECZg1axZKS0sV1aM5sXXN7XlNeL2Vkb9f6zIajdi2bRuuXbumqJvr9OnTCA8PR1RUFB5//HF8//33AG53rRmNRotpRAICAiy67dUeq9YvfvEL/P3vf8c333wDAPjyyy9x8OBBjBw5EgDfL6Qc584jp7lw4QKMRiNCQ0Ml60NDQ6HX61Xvq6Z8LeoqhEBmZiZ+8YtfIC4uDgBw/PhxPP/88/D29kZAQAA2bdqkqB7Nia1rbs9rwuttv/rer8Dta5iYmIgbN26gVatW2L59O2JjY+0qc8CAAdiyZQvuvvtu/Pjjj1i6dCmSkpLw9ddfo127dkhMTMQf/vAHxMTEIDQ0FLm5uThy5Aiio6MV19/WsQDghRdeQFVVFXr06AFvb28YjUa89NJLeOKJJ8znyvcLKeLspjBqvioqKgQAi9yDpUuXiu7du6veV035WtQ1PT1dREZGinPnzik6Ft1m65pr+fpSw+/X6upqcfr0aXH06FExd+5cERISIr7++muHjnH16lURGhoqVq5cKYQQ4ttvvxX33XefACC8vb1Fv379xG9+8xsRExOj+nzkxxJCiNzcXNGpUyeRm5srjh07JrZs2SLatm0rcnJyVB+Pmie2RJHThISEwNvb26Il5/z58xatC47sq6Z8tXWdMWMGdu7cif3796NTp06KjkW32brmWr6+zZ2196uvry/uuusuAEBCQgKOHj2K1157DW+++abi4wQGBqJnz57moQm6deuGffv24dq1azAYDOjQoQNSU1MRFRWl+pzkxwKA3/3ud5g7dy4ef/xxAEDPnj1x9uxZLF++HE899ZTqY1Lzw5wochpfX1/Ex8ejoKBAsr6goABJSUmq91VTvqN1FUJg+vTp+OCDD/CPf/xDkx+D5srWNdfy9W2uHHm/CiFQXV3t0PGqq6tx8uRJdOjQQbI+MDAQHTp0wKVLl7Bnzx6MGTPGofJtHev69evw8pL+7Hl7e5uHOCBSzMktYdTM1d6ivmnTJnHixAmRkZEhAgMDxZkzZzTZV035jhzv//7v/0RwcLAoLCyU3Gp9/fp1xccj29dcy9e3ObL1fs3KyhL79+8XZWVl4tixY+LFF18UXl5eIj8/367yZ8+eLQoLC8X3338vPv30UzFq1CjRunVr8+uze/du8cknn4jvv/9e5Ofni969e4v+/fuLmpoaxedi61hCCPHUU0+Jjh07moc4+OCDD0RISIiYM2eO4uMRCcEhDsgFvP766yIyMlL4+vqKvn37Wr292pF91ZSvtCwA9S51b/smZWxdcy1f3+bG1vv16aefNl/b9u3biwceeMDuAEoIIVJTU0WHDh1EixYtRHh4uBg3bpwknyovL0907dpV+Pr6irCwMDFt2jRx+fJlh87F1rGEEMJgMIhZs2aJzp07C39/f9G1a1cxb948UV1d7dAxiXRCaDyPBhEREVEzwJwoIiIiIgcwiCIiIiJyAIMoIiIiIgcwiCIiIiJyAIMoIiIiIgcwiCIiIiJyAIMoIiIiIgcwiCIiIiJyAIMoIiIiIgcwiCIiIiJyAIMoIiIiIgcwiCIiIiJyAIMoIiIrbt686ewqEJGLYhBFRJpITk7G9OnTMX36dNxxxx1o164d5s+fDyEEAODSpUuYMGEC2rRpg5YtW2LEiBE4ffq0ef+zZ8/i4YcfRps2bRAYGIh77rkHu3btavB4NTU1mDNnDjp27IjAwEAMGDAAhYWFkm1ycnLQuXNntGzZEo888ghWrlyJO+64o8Eyz5w5A51Oh7/85S9ITk6Gv78//vznP+PixYt44okn0KlTJ7Rs2RI9e/ZEbm6uqutFRO6PQRQRaeadd96Bj48Pjhw5gjVr1mD16tV4++23AQATJ07E559/jp07d6KoqAhCCIwcOdLc0jNt2jRUV1dj//79OH78OFasWIFWrVo1eKzf/va3OHToELZt24Zjx47h0UcfxfDhw82B2ZEjR/D0008jPT0dpaWluP/++7F06VK7zuOFF17AzJkzcfLkSQwbNgw3btxAfHw8PvroI3z11VeYMmUK0tLScOTIEZVXjIjcmiAi0sCQIUNETEyMMJlM5nUvvPCCiImJEd98840AIA4dOmR+7sKFCyIgIED85S9/EUII0bNnT7Fo0SK7jvXtt98KnU4nKioqJOsfeOABkZWVJYQQ4oknnhDDhw+XPJ+amiqCg4MbLLesrEwAENnZ2TbrMHLkSDF79my76ktEnoktUUSkmYEDB0Kn05kfJyYm4vTp0zhx4gR8fHwwYMAA83Pt2rVD9+7dcfLkSQDAzJkzsXTpUgwaNAgLFy7EsWPHGjzOF198ASEE7r77brRq1cq87Nu3D9999x0A4OTJk0hMTJTsJ3/ckISEBMljo9GIl156Cb169UK7du3QqlUr5Ofno7y83K7yiMgz+Ti7AkTUfAkhzEHX5MmTMWzYMHz88cfIz8/H8uXLsXLlSsyYMcNiP5PJBG9vbxQXF8Pb21vyXG0XoPhvLpYjAgMDJY9XrlyJ1atXIzs7Gz179kRgYCAyMjJQU1Pj8DGIyP2xJYqINPPpp59aPI6OjkZsbCxu3bolySG6ePEivvnmG8TExJjXRUREYOrUqfjggw8we/ZsvPXWW/Uep0+fPjAajTh//jzuuusuyRIWFgYAiI2Nrbc+jjhw4ADGjBmDJ598Er1790bXrl0lSfFE1DwxiCIizZw7dw6ZmZk4deoUcnNzsXbtWsyaNQvR0dEYM2YMnnnmGRw8eBBffvklnnzySXTs2BFjxowBAGRkZGDPnj0oKyvDF198gX/84x+SAKtHjx7Yvn07AODuu+/Gb37zG0yYMAEffPABysrKcPToUaxYscJ8R9/MmTOxe/duvPzyy/jmm2+wbt067N69W1Lfzz77DD169EBFRYXV87rrrrtQUFCAw4cP4+TJk3j22Weh1+u1vHRE5IYYRBGRZiZMmICff/4Z/fv3x7Rp0zBjxgxMmTIFALB582bEx8dj1KhRSExMhBACu3btQosWLQDczjuaNm0aYmJiMHz4cHTv3h3r1683l33q1ClUVVWZH2/evBkTJkzA7Nmz0b17d4wePRpHjhxBREQEgNv5WW+//TbWrl2Le++9F/n5+Zg/f76kvtevX8epU6dsjgW1YMEC9O3bF8OGDUNycjLCwsIwduxYLS4ZEbkxnVCTOEBE9F/Jycm49957kZ2d7eyqNCgnJwcZGRm4fPmys6tCRB6ALVFEREREDmAQRUREROQAducREREROYAtUUREREQOYBBFRERE5AAGUUREREQOYBBFRERE5AAGUUREREQOYBBFRERE5AAGUUREREQOYBBFRERE5ID/D04G1xS8Aj0YAAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mass, wcs = lt.g_mass(3, 100, 0.3, 1.0)\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_axes([0.15, 0.1, 0.8, 0.8], projection=wcs)\n",
"plt.imshow(mass)\n",
"plt.colorbar()\n",
"\n",
"for row in lt.get_sources(): \n",
" ellipse = Ellipse((row['x']/3600.,row['y']/3600.), #conversion from arcsecs to degrees\n",
" width=row['b']/3600, \n",
" height=row['a']/3600,\n",
" edgecolor='pink',\n",
" facecolor='none',\n",
" angle =row['theta']+90,\n",
" transform=plt.gca().get_transform('world')\n",
" )\n",
" \n",
" ax.add_patch(ellipse)"
]
},
{
"cell_type": "markdown",
"id": "1415c18c-2d06-4664-85b6-74de81c5cf23",
"metadata": {},
"source": [
"Here we have displayed the source in pink and the cluster of galaxies that acts as a lens in yellow.\n",
"The colorbar indicates the mass repartition of the cluster in $10^{12}$ Msun/pixel."
]
},
{
"cell_type": "markdown",
"id": "368dd590-3255-4880-aed8-d39ebe3334d5",
"metadata": {
"tags": []
},
"source": [
"## Modelling gravitational lensing\n",
"Using the data from the above source, one or more images can be created corresponding to the gravitational lensing under study."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "e8e1174c-fc31-4b84-a6b1-0acae72441f2",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Compute multiple images for source 0...images found 3, not found 0\r"
]
},
{
"data": {
"text/html": [
"Table length=3 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a -0.1439036032657953 2.0560154188542463 3.5000000009029875 0.7418610444825656 274.0036883033475 1.0 21.684363693981073 \n",
"1a -0.14387454674726022 2.057052271183944 3.500000000902991 0.7423114188365738 274.00087143112734 1.0 21.683704757410105 \n",
"1a 1.5017408667543064 -21.45605858938671 7.741844354807153 3.5000000009029857 184.0036860228906 1.0 19.13805902100179 \n",
"
"
],
"text/plain": [
"\n",
" n x y ... z mag \n",
"str2 float64 float64 ... float64 float64 \n",
"---- -------------------- ------------------ ... ------- ------------------\n",
" 1a -0.1439036032657953 2.0560154188542463 ... 1.0 21.684363693981073\n",
" 1a -0.14387454674726022 2.057052271183944 ... 1.0 21.683704757410105\n",
" 1a 1.5017408667543064 -21.45605858938671 ... 1.0 19.13805902100179"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lt.e_lensing()\n",
"lt.get_images()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "7a46324b-9e47-46e9-a62e-e53e1d3fb808",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_images():\n",
" fig = plt.figure()\n",
" ax = fig.add_subplot(projection=wcs)\n",
" plt.imshow(mass)\n",
"\n",
" norm = Normalize(min(lt.get_images()['mag']), max(lt.get_images()['mag']))\n",
" for row in lt.get_images(): \n",
" ellipse = Ellipse((row['x']/3600.,row['y']/3600.),\n",
" width=row['b']/3600,\n",
" height=row['a']/3600,\n",
" facecolor = 'none',\n",
" angle =row['theta'] + 90,\n",
" transform=plt.gca().get_transform('world')\n",
" )\n",
" # Assign color to the ellipse based on the magnification\n",
"\n",
" color = cm.ScalarMappable(norm=norm, cmap = 'Wistia').to_rgba(row['mag'])\n",
" ellipse.set_edgecolor(color)\n",
"\n",
" ax.add_patch(ellipse)\n",
"\n",
" # Creating a ScalarMappable object for colorbar\n",
" cmap = cm.ScalarMappable(norm=norm, cmap = 'Wistia')\n",
" cmap.set_array(tab['mag'])\n",
"\n",
" # Adding the colorbar\n",
" colorbar = plt.colorbar(cmap, ax=ax)\n",
" colorbar.set_label('Magnitude')\n",
" plt.colorbar()\n",
" plt.show()\n",
"plot_images()"
]
},
{
"cell_type": "markdown",
"id": "3f292095-6882-4a17-bf7c-09a36b7e7562",
"metadata": {},
"source": [
"As we can see, three images are displayed whereas in the SIS model only two images should appear. This happens because due to numerical resolution limits, Lenstool finds two radial images, whereas only one should exist in theory. Note that depending on the grid.number, and grid.polar parameters, this third image is not always detected."
]
},
{
"cell_type": "markdown",
"id": "de9995ed-ffd0-4ab8-b3a8-6ef4391aafc4",
"metadata": {},
"source": [
"### With another source"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "9c7c9a90-ddaa-46a0-84c0-4ad8be109ba5",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"Table length=1 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a 10.6789067 10.7 3.5 3.5 0.0 1.0 20.0 \n",
"
"
],
"text/plain": [
"\n",
" n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64\n",
"---- ---------- ------- ------- ------- ------- ------- -------\n",
" 1a 10.6789067 10.7 3.5 3.5 0.0 1.0 20.0"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tab = Table(\n",
" rows=[('1a', 10.6789067, 10.7, 3.5, 3.5, 0, 1.0, 20)],\n",
" names=['n','x','y','a','b','theta','z','mag'], \n",
" dtype=['str',*['float',]*7]\n",
")\n",
"lt.set_sources(tab)\n",
"lt.get_sources()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "5cca18a7-406b-4547-9100-a4aecdccf248",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Compute multiple images for source 0...images found 1, not found 0\r"
]
},
{
"data": {
"text/html": [
"Table length=1 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a 19.003780153858134 19.041315591211987 6.228466685230651 3.5000000004546004 135.05652820048417 1.0 19.374217246134503 \n",
"
"
],
"text/plain": [
"\n",
" n x y ... z mag \n",
"str2 float64 float64 ... float64 float64 \n",
"---- ------------------ ------------------ ... ------- ------------------\n",
" 1a 19.003780153858134 19.041315591211987 ... 1.0 19.374217246134503"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lt.e_lensing()\n",
"display(lt.get_images())"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "aa541b4d-1242-44c0-8ccc-8d3423695536",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_images()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "e4f3a585-1aae-48cd-bab5-5ac36199a733",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"Table length=1 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a 1.7 1.7 3.5 3.5 0.0 1.0 20.0 \n",
"
"
],
"text/plain": [
"\n",
" n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64\n",
"---- ------- ------- ------- ------- ------- ------- -------\n",
" 1a 1.7 1.7 3.5 3.5 0.0 1.0 20.0"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tab = Table(\n",
" rows=[('1a', 1.7, 1.7, 3.5, 3.5, 0, 1.0, 20)],\n",
" names=['n','x','y','a','b','theta','z','mag'], \n",
" dtype=['str',*['float',]*7]\n",
")\n",
"lt.set_sources(tab)\n",
"lt.get_sources()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "4abf75dc-0a3c-441b-b073-8b452a18bd49",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Compute multiple images for source 0...images found 2, not found 0\r"
]
},
{
"data": {
"text/html": [
"Table length=2 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a 10.033094210747203 10.033094210747207 20.656397190255532 3.5000000004537077 134.99999999105756 1.0 18.072533671216917 \n",
"1a -6.6330663752945656 -6.6330663752945656 13.65607183861927 3.5000000004537037 134.99999999408797 1.0 18.521855628870078 \n",
"
"
],
"text/plain": [
"\n",
" n x y ... z mag \n",
"str2 float64 float64 ... float64 float64 \n",
"---- ------------------- ------------------- ... ------- ------------------\n",
" 1a 10.033094210747203 10.033094210747207 ... 1.0 18.072533671216917\n",
" 1a -6.6330663752945656 -6.6330663752945656 ... 1.0 18.521855628870078"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lt.e_lensing()\n",
"display(lt.get_images())"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "3f6198c4-50b5-450c-9f33-cdc06f70ddd1",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_images()"
]
},
{
"cell_type": "markdown",
"id": "7e773a81-fe5d-47c6-a351-178d04685b73",
"metadata": {},
"source": [
"By moving the source closer to the lens, the flux can be amplified.\n",
"The second colorbar represents the magnitude values of the obtained images. "
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "a2abbc1e-c704-4d03-8a4b-3685e1efc69d",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"Table length=1 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a 0.6789067 -9.7 5.5 5.5 0.0 1.5 20.0 \n",
"
"
],
"text/plain": [
"\n",
" n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64\n",
"---- --------- ------- ------- ------- ------- ------- -------\n",
" 1a 0.6789067 -9.7 5.5 5.5 0.0 1.5 20.0"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tab = Table(\n",
" rows=[('1a', 0.6789067, -9.7, 5.5, 5.5, 0, 1.5, 20)],\n",
" names=['n','x','y','a','b','theta','z','mag'], \n",
" dtype=['str',*['float',]*7]\n",
")\n",
"lt.set_sources(tab)\n",
"lt.get_sources()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "d355f6cd-e80d-4f0e-9aed-b169bd4e3262",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Compute multiple images for source 0...images found 2, not found 0\r"
]
},
{
"data": {
"text/html": [
"Table length=2 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a -0.25707791557222537 3.672954994000554 5.500000001342866 2.0826060496906016 94.00372378931525 1.5 21.054388909410584 \n",
"1a 1.6149036200952676 -23.072957535127333 13.082585562250514 5.500000001342866 184.00367029497949 1.5 19.059172764025583 \n",
"
"
],
"text/plain": [
"\n",
" n x y ... z mag \n",
"str2 float64 float64 ... float64 float64 \n",
"---- -------------------- ------------------- ... ------- ------------------\n",
" 1a -0.25707791557222537 3.672954994000554 ... 1.5 21.054388909410584\n",
" 1a 1.6149036200952676 -23.072957535127333 ... 1.5 19.059172764025583"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lt.e_lensing()\n",
"display(lt.get_images())"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "a92f6e72-5018-487b-a07b-ae02112e62ec",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_images()"
]
},
{
"cell_type": "markdown",
"id": "7cafac7c-f48f-4617-affe-ad3cceaab38f",
"metadata": {},
"source": [
"The image obtained for the first source studied is modelled again and the size of the source is increased; it can be seen that the size of the image is also increased. "
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "ee69d2ce-729b-482d-888a-c8d6c78cd349",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"Table length=1 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a 0.6789067 -9.7 3.5 3.5 0.0 15.0 20.0 \n",
"
"
],
"text/plain": [
"\n",
" n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64\n",
"---- --------- ------- ------- ------- ------- ------- -------\n",
" 1a 0.6789067 -9.7 3.5 3.5 0.0 15.0 20.0"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tab = Table(\n",
" rows=[('1a', 0.6789067, -9.7, 3.5, 3.5, 0, 15.0, 20)],\n",
" names=['n','x','y','a','b','theta','z','mag'], \n",
" dtype=['str',*['float',]*7]\n",
")\n",
"lt.set_sources(tab)\n",
"lt.get_sources()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "aac564d9-5190-4f03-bd0e-70186ae1ba6f",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Compute multiple images for source 0...images found 2, not found 0\r"
]
},
{
"data": {
"text/html": [
"Table length=2 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a 1.8173670426662405 -25.965958656690344 9.369170222656104 3.50000000232949 184.00362385225992 15.0 18.93091728652996 \n",
"1a -0.4595568468859513 6.565971489067192 3.50000000232949 2.369165693006243 274.0036418742858 15.0 20.423681522252945 \n",
"
"
],
"text/plain": [
"\n",
" n x y ... z mag \n",
"str2 float64 float64 ... float64 float64 \n",
"---- ------------------- ------------------- ... ------- ------------------\n",
" 1a 1.8173670426662405 -25.965958656690344 ... 15.0 18.93091728652996\n",
" 1a -0.4595568468859513 6.565971489067192 ... 15.0 20.423681522252945"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lt.e_lensing()\n",
"display(lt.get_images())"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "2475403e-f1b8-44a0-b2d5-56ff1bbec8be",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_images()"
]
},
{
"cell_type": "markdown",
"id": "01b71fb7-b19f-4f6a-89ca-48ba0fee378d",
"metadata": {},
"source": [
"When the redshift is increased, the distance between the images is also increased. "
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "ff7599c5-5c19-4fbb-be58-74330f6df5ef",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"Table length=1 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a 0.3789067 0.4 3.5 3.5 0.0 1.0 20.0 \n",
"
"
],
"text/plain": [
"\n",
" n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64\n",
"---- --------- ------- ------- ------- ------- ------- -------\n",
" 1a 0.3789067 0.4 3.5 3.5 0.0 1.0 20.0"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tab = Table(\n",
" rows=[('1a', 0.3789067, 0.4, 3.5, 3.5, 0, 1.0, 20)],\n",
" names=['n','x','y','a','b','theta','z','mag'], \n",
" dtype=['str',*['float',]*7]\n",
")\n",
"lt.set_sources(tab)\n",
"lt.get_sources()"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "a041946f-41e7-48d4-92ed-70cf0fceab41",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Compute multiple images for source 0...images found 2, not found 0\r"
]
},
{
"data": {
"text/html": [
"Table length=2 \n",
"
\n",
"n x y a b theta z mag \n",
"str2 float64 float64 float64 float64 float64 float64 float64 \n",
"1a 8.483351108269728 8.955704565242327 78.35533537154147 3.500000000478264 136.55153147905978 1.0 16.62499867624839 \n",
"1a -7.725506849912627 -8.155647694845774 71.35961784032642 3.500000000478264 136.5514760544116 1.0 16.726538821848983 \n",
"
"
],
"text/plain": [
"\n",
" n x y ... z mag \n",
"str2 float64 float64 ... float64 float64 \n",
"---- ------------------ ------------------ ... ------- ------------------\n",
" 1a 8.483351108269728 8.955704565242327 ... 1.0 16.62499867624839\n",
" 1a -7.725506849912627 -8.155647694845774 ... 1.0 16.726538821848983"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lt.e_lensing()\n",
"display(lt.get_images())"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "7889b5f7-cd7e-4bb7-af2e-908671e3e069",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_images()"
]
},
{
"cell_type": "markdown",
"id": "e0c55ebf-2b87-4491-bc67-6c1d778b3364",
"metadata": {},
"source": [
"By moving the source closer to the lens again, the images appear streched."
]
},
{
"cell_type": "markdown",
"id": "18652e45-5d3a-44da-becf-acf67bfe3ac9",
"metadata": {},
"source": [
"## Modelling of the Einstein ring\n",
"Now that we have seen the impact of each parameter on the resulting image, we want to model the Einstein ring.\n",
"To do so we can model the brightness map with lenstool."
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "63edf362-02a7-4215-aeb8-ee856b4dadc6",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Source plane')"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pix, wcs = lt.e_pixel_image(100)\n",
"source, swcs = lt.e_pixel_source(100)\n",
"fig = plt.figure(figsize=(10,5))\n",
"ax = fig.add_axes([0.15, 0.1, 0.5, 0.5], projection=wcs)\n",
"\n",
"plt.imshow(pix)\n",
"\n",
"ax.autoscale_view()\n",
"ax.set_title('Image plane')\n",
"\n",
"ax = fig.add_axes([0.55, 0.1, 0.5, 0.5], projection=swcs)\n",
"\n",
"plt.imshow(source)\n",
"ax.autoscale_view()\n",
"ax.set_title('Source plane')"
]
},
{
"cell_type": "markdown",
"id": "4c43b61f-fef4-4778-9793-716adbfd1786",
"metadata": {},
"source": [
"## The convergence map\n",
"\n",
"Lenstool can also compute the convergence map of the lens.\n"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "38a003c8-4c7e-4caa-b8f5-6932ba8abd62",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"conv, wcs = lt.g_mass(1, 100, 0.3, 1.0)\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_axes([0.15, 0.1, 0.8, 0.8], projection=wcs)\n",
"\n",
"s = abs(conv - 1/2) < 0.02\n",
"conv[s] = 10\n",
"plt.imshow(conv)\n",
"plt.colorbar()"
]
},
{
"cell_type": "markdown",
"id": "78004b88-333c-4531-a200-902f9d610829",
"metadata": {},
"source": [
"Here, the yellow circle is the critical line for our SIS model (when the convergence = 1/2)."
]
},
{
"cell_type": "markdown",
"id": "40805fe1-7bba-453d-ba49-ba271245c8e2",
"metadata": {},
"source": [
"## Calculation of the Einstein ring\n",
"We start by using the lensing equations to obtain the radius of the ring created by gravitational lensing. \n",
"$$\\theta_{E} = \\frac{4 \\pi\\sigma_{v}^{2}}{c^{2}}\\frac{D_{LS}}{D_{S}} $$"
]
},
{
"cell_type": "markdown",
"id": "5c08af37-3965-4521-a6c5-8a08f2bd5a2d",
"metadata": {},
"source": [
"We can calculate the distances to the source and to the lens with the redshift data."
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "67a325b0-15d6-41b8-892c-fd76827c94b5",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"the radius value is: 5.713423457351444e-05\n"
]
}
],
"source": [
"from math import pi\n",
"import astropy.constants as const\n",
"import astropy.units as u\n",
"from astropy.cosmology import FlatLambdaCDM\n",
"\n",
"cosmo= FlatLambdaCDM(70,0.3) # definition of the universe (H0, z_lens)\n",
"dol=cosmo.angular_diameter_distance(0.3) # distance between the observer and the lens\n",
"dos=cosmo.angular_diameter_distance(1) # distance between the observer and the source\n",
"dls=cosmo.angular_diameter_distance_z1z2(0.3,1) # distance between the lens and the source\n",
"sigma = 800 * u.km /u.s\n",
"theta = (4*pi*sigma**2*dls)/(dos*const.c**2)\n",
"theta = theta.to('m2/m2').value\n",
"print(\"the radius value is:\",theta) "
]
},
{
"cell_type": "markdown",
"id": "bf7c412a-f7e8-409e-8b12-eefcc49a15f1",
"metadata": {},
"source": [
"Now that we have the radius we can display the ring. \n",
"To observe the match with the magnification map, it is also possible to directly display the ring on it. "
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "3537a6f2-567d-4e50-86f1-2bf371a4046a",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Magnification map')"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ampli, wcs = lt.g_ampli(1, 100, 1.0)\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_axes([0.15, 0.1, 0.8, 0.8], projection=wcs)\n",
"\n",
"plt.imshow(ampli)\n",
"plt.clim((-1,2))\n",
"plt.colorbar()\n",
"\n",
"c = Circle((0,0),\n",
" numpy.degrees(theta),\n",
" edgecolor='pink',\n",
" facecolor='none',\n",
" linewidth=4,\n",
" transform=ax.get_transform('world')\n",
" )\n",
" \n",
" \n",
"ax.add_patch(c)\n",
"ax.set_title('Magnification map')"
]
},
{
"cell_type": "markdown",
"id": "08fc998e-6756-4ecb-a3cb-2d4b74798e2e",
"metadata": {},
"source": [
"Here the Eistein ring is pink and the colorbar indicates the magnification factor."
]
},
{
"cell_type": "markdown",
"id": "46c7c574-fbea-4ef7-9ad2-615e4e659258",
"metadata": {
"tags": []
},
"source": [
"## Display of critical lines\n",
"Another method to represent the critical lines is to use the data calculated by Lenstool, we can then also represent the caustic lines."
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "daed9191-8d97-4d9a-ba67-1dd319202e1b",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"COMP1: critic and caustic lines for source plane at z=1.000\n",
"limitHigh(in arcsec)=10.000 limitLow(in arcsec)=1.000\n"
]
},
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Source plane')"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from lenstool import pcl\n",
"\n",
"# Compute image plane and source plane surface brightness maps\n",
"pix, wcs = lt.e_pixel_image(100)\n",
"source, swcs = lt.e_pixel_source(100)\n",
"\n",
"# Compute critical and caustic external lines\n",
"tangent, radial = lt.criticnew(1.0)\n",
"critic_int, caustic_int = pcl.parse_cline(radial)\n",
"\n",
"fig = plt.figure(figsize=(10,5))\n",
"\n",
"ax = fig.add_axes([0.15, 0.1, 0.5, 0.5], projection=wcs)\n",
"plt.imshow(pix)\n",
"critic_int.set_transform(ax.get_transform('world'))\n",
"ax.add_collection(critic_int)\n",
"ax.autoscale_view()\n",
"ax.set_title('Image plane')\n",
"\n",
"ax = fig.add_axes([0.55, 0.1, 0.5, 0.5], projection=swcs)\n",
"plt.imshow(source)\n",
"caustic_int.set_transform(ax.get_transform('world'))\n",
"ax.add_collection(caustic_int)\n",
"ax.autoscale_view()\n",
"ax.set_title('Source plane')"
]
},
{
"cell_type": "markdown",
"id": "6eca6a0d-bf52-4129-9458-c478ec588447",
"metadata": {},
"source": [
"Here we display the external critical and caustic lines of the lens. \n",
"In the image plane, the critical line is a circle (as we calculated) superposed to the Einstein ring whereas the caustic line in the source plane is a point centered on the source. \n",
"If we were to model the internal lines, it would be the opposite, meaning that the internal critical line would be a point in the image plane and the caustic line a circle in the source plane. However, this point in the image plane is infinitely small, and Lenstool cannot find it, hence it cannot compute the associated caustic line."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "bd837c1d",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "ltjpy",
"language": "python",
"name": "ltjpy"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}