{ "cells": [ { "cell_type": "markdown", "id": "a1670f64", "metadata": {}, "source": [ "# Astrophysical Scene Construction\n", "\n", "The first step in any PanCAKE simulation is to define the astrophysical scenes that we want to simulate observations for. Theoretically, Scenes can be as large as desired, or include any number of astrophysical sources. However, only objects within the simulated field of view will have an effect on the simulation results. \n", "\n", "In the [Basic Tutorial](https://aarynncarter.com/PanCAKE/notebooks/pancake_basic_tutorial.html) we covered a simple example of this, however there exist a variety of different ways to construct and visualise these scenes further.\n", "\n", "Important - If you are running PanCAKE within a python script, you will need to place all imports and function calls within the following statement:" ] }, { "cell_type": "raw", "id": "df3bf142-4c43-4536-8968-91dfbd9df0f5", "metadata": {}, "source": [ "if __name__ == '__main__':\n" ] }, { "cell_type": "markdown", "id": "64c56512", "metadata": {}, "source": [ "## The Basics\n", "\n", "The scenes we want to include in a simulation should be independently intialised using `pancake.scene.Scene()`. Ideally, a string descriptor of the scene should also be provided for future clarity in simulation FITS headers, although this is not mandatory. In this case we have created two scenes, one for our \"Target\" (for science observations) and one for our \"Reference\" (for PSF subtraction). " ] }, { "cell_type": "code", "execution_count": 1, "id": "52d4a4ca", "metadata": {}, "outputs": [], "source": [ "import pancake\n", "\n", "target = pancake.scene.Scene('Target')\n", "reference = pancake.scene.Scene('Reference')" ] }, { "cell_type": "markdown", "id": "1540909c", "metadata": {}, "source": [ "## Adding Sources\n", "\n", "Now that the scenes we need have been created, we can start to add astrophysical sources to them as desired. Those with previous experience will notice that this is almost identical to the scene construction in the official JWST Exposure Time Calculator (Pandeia). This is by design, and simply allows PanCAKE to interface easily with Pandeia, without requiring and unnecessary amount of user inputs. \n", "\n", "### SIMBAD Query\n", "\n", "The simplest way to add a source to a scene is using a query to [SIMBAD](http://simbad.u-strasbg.fr/simbad/):" ] }, { "cell_type": "code", "execution_count": 2, "id": "5e87260b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Target // Adding Source: HIP 65426\n", "WARNING: Couldn't determine magnitude system, assuming Vega magnitudes.\n", "WARNING: Spectral type 'a2v' not compatible with Pandeia grid, using spectral type 'a1v' instead.\n" ] } ], "source": [ "target.add_source('HIP 65426', kind='simbad')" ] }, { "cell_type": "markdown", "id": "e74f9519", "metadata": {}, "source": [ "In this case, all we needed to do was provide a SIMBAD compatible string identifier for the object we wish to observe, and let PanCAKE know that we want to use SIMBAD to get all the relevant information with the `kind` property. \n", "\n", "Here we can see that we have a few warnings. For the vast majority of SIMBAD objects, the magnitudes are reported in Vega magnitudes, so the first warning isn't a concern for us. However, the second will slightly impact our future simulations. PanCAKE uses the SIMBAD spectral type for the provided object to estimate a matching spectrum of that object from the synphot database. This database is not complete across spectral types, and therefore in some cases the closest matching spectral type with a spectrum will be used instead. The extent of this approximation should be assessed on a case-by-case basis, depending on the difference between the true and approximated spectral type, in addition to the filter an observation is being performed under. " ] }, { "cell_type": "markdown", "id": "3f57ff2a", "metadata": {}, "source": [ "### Stellar Grid\n", "\n", "We can also add a source to our scenes by drawing directly from the synphot database, making using of the Phoenix stellar model grid:" ] }, { "cell_type": "code", "execution_count": 3, "id": "21af85e7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reference // Adding Source: HIP 68245\n", "WARNING: Spectral type 'b2iv' not compatible with Pandeia grid, using spectral type 'b1v' instead.\n" ] } ], "source": [ "reference.add_source('HIP 68245', kind='grid', spt='b2iv', norm_val=4.491, norm_unit='vegamag', norm_bandpass='2mass_ks')" ] }, { "cell_type": "markdown", "id": "44d4db6b", "metadata": {}, "source": [ "Here the `kind` property has been adjusted to use the stellar grid, and more user input is required on the spectral type of the object, in addition to parameters necessary to correctly normalise the retrieved spectrum. The normalisation bandpass can be any 2MASS, WISE, Bessel, Johnson, or JWST filter (see list at the bottom of this page). \n", "\n", "Note that a name still needs to be provided for the source, this is for bookkeeping purposes and improves the clarity of the simulation FITS headers. " ] }, { "cell_type": "markdown", "id": "577a4898", "metadata": {}, "source": [ "### User Input Spectrum\n", "\n", "The two above methods are convenient ways to add stellar objects to a scene, however, in some cases more precision is necessary, or non-stellar objects need to be included within a scene. In such a case, the remaining method is to add the source through a user input file of its spectrum:" ] }, { "cell_type": "code", "execution_count": 4, "id": "67bde604", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Target // Adding Source: HIP 65426b\n" ] } ], "source": [ "input_file = './hip65426b_bestfit_jansky.txt'\n", "target.add_source('HIP 65426b', r=0.83, theta=150, kind='file', filename=input_file, wave_unit='micron', flux_unit='Jy')" ] }, { "cell_type": "markdown", "id": "19ef89cf", "metadata": {}, "source": [ "Again, the `kind` property is adjusted to let PanCAKE know what to do, and relevant properties are provided to the `add_source` function. In this case, we have provided an input file with two columns of format wavelength and flux, alongside the units of the column values. A range of different units are supported, with the [synphot units](https://synphot.readthedocs.io/en/latest/synphot/units.html) webpage outlining the vast majority. \n", "\n", "This time, we have added a source representing the companion HIP 65426 b. Thus far, all of our sources have been automatically located at the center of the observational scene. However, in this case we want to place this companion relative to its host star, and have provided `r`/`theta` values to define its location. " ] }, { "cell_type": "markdown", "id": "00f60a03", "metadata": {}, "source": [ "### Extended Sources\n", "\n", "Unfortunately, at present PanCAKE does not offer any way to include extended sources such as disks in the constructed astrophysical scenes. If you are particularly interested in such a feature, I am very much open to collaboration and would be more than happy to support any efforts to extend PanCAKE's functionality. " ] }, { "cell_type": "markdown", "id": "8e87354f", "metadata": {}, "source": [ "## Scene Visualisation\n", "\n", "To check that your scenes have been constructed correctly, both spatially and spectrally, PanCAKE also includes two plotting functions to help visualise a scene. " ] }, { "cell_type": "code", "execution_count": 5, "id": "9f8f3920", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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8zz33HFOnTiU+Pp6bbrqJ7Oxs3njjDS666CLi4uJoaGhg7ty57Sbsn/zkJ5SXl3POOecAMHLkSB5//HHi4+O5+eabOfroo3HOsc8++3DhhRdG7TP1mrH9g5H5EoBf4Bv8XYiv668zs78DDvg2MAt4GjjIORf2BYDG9hcR6R6ffPIJU6ZM6ekwYkpL57ytsf17U7H/VcBOYC7wleD5VcG67wIpwCZ8476LO5L4RUREZLdeU+zvnJsHzGtl3Vbg9G4MR0REpN/qTXf+IiIi0g2U/EVERGKMkr+IiEiMUfIXERGJMUr+IiLS7/SnKX1Hjx7N5s2tjtTbKb2mtb+IiEhP0JS+IiIiMao3T+l74403MmPGDPbbb78WY+wo3fmLiEj0PDMXihdFdp/5M+DEG9rcpL9N6ZuVlcWiRYu45557+OEPf8iTTz7Z5mdpj5K/iIj0O/1tSt9zzz13188f/ehHnTwruyn5i4hI9LRzh94b9IUpfc1sVzyhzztLdf4iIiJt6A1T+jY2CnzwwQc58MADu/yZdOcvIiLSht4wpe+2bdvYa6+9SEpK4oEHHujyZ+o1U/pGm6b0FRHpHprSt/v15Sl9RUREpBso+YuIiMQYJX8REZEYo+QvIiIRFyvtyXqDzpxrJX8REYmo5ORktmzZoguAbuCcY8uWLSQnJ3foferqJyIiEVVQUEBRUdGuPusSXcnJyRQUFHToPUr+IiISUY0j4UnvpWJ/ERGRGKPkLyIiEmOU/EVERGJMu3X+ZjYQOBM4HBgNpAAlwHvAM865N6IYn4iIiERYq3f+ZjbMzP4CbACuBBKBBcBzwGr8xcDzZrbEzL7UHcGKiIhI17V15/8BcDdQ6Jxb3NIGZpYCnA782MxGOOdujniEIiIiElFtJf9pzrk2O2k653YCDwAPmFlORCMTERGRqGi12D808YeT2Nu7UBAREZHeIdzW/uvM7B9mdqKZWVQjEhERkagKN/mfDNQAjwBrzOyXZjYuemGJiIhItISV/J1zzzvnzgOGATcAJwLLzOxFMzvfzDo2o0AEmdmBZvZS8FhmZr/tqVhERET6gg4N8uOc2+6cu805VwhcChwE3AusN7MbzCw9GkG2E9ObzrkjnHNHAG8A/+zuGERERPqSDiV/MxtqZnPNbCnwa+Dv+P7+FwMn0IOJ18wSgf2AV3sqBhERkb4grORvZmea2ZP4wX2+CNwKDHfOXeCce9U59yB+FMDDOhuImV1iZgvMrNrM7mq2brCZPWZmFWa22szOa2EXxwAvOOcaOhuDiIhILAh3St878f35D3TOLWxlmw3AdV2IZT1wLXA8fgjhULfhGxzmAbOAp8zsw2aDD50TxCkiIiJtMOdc+xuZpTrnKrshHszsWqDAOXdB8DoN2AZMd84tC5bdC6xzzs0NXg8A3gf2au3Of9SoUS4nZ/dwBXPmzGHOnDnR/CgiIiLdav78+cyfPx+AhQsXrnbOjW5pu7Du/Lsr8bdiIlDXmPgDH+LbGjQ6BnixrSL/nJwcFixYEKUQRUREel7oja2ZbW5tuzaTv5mVAe0VDdThi/yfA652zm3vUKTtSwdKmy3bAWQ0vnDOPQM8E+HjioiI9Evt3flfEsY+4oB84BtALnB+V4NqphzIbLYsEyiL8HFERERiQpvJ3zl3d7g7MrP/AE91OaI9LQMSzGyCc255sGwm0OJMgyIiItK2cFv77xKM5teki2DQJmAJvlV+p5hZQhBPPBAfHKfOOVdhZo8C15jZt/Gt/U/DDzAkIiIiHRRuP/9RZvYvMysFKvBF7qEPnHMVzrmruxDLVcBOYC7wleD5VcG67+K7/23Cdzm8uFk3PxEREQlTuHf+9wHJwPeBjbTfCLDDnHPzgHmtrNsKnB7pY4qIiMSicJP/bGBf59wn0QxGREREoi/csf0/BHLa3UpERER6vXDv/OcAt5rZrcDHQG3oSufcmkgHJiIiItERbvKPw4+r/xhN6/steB0f4bhEREQkSsJN/nfjW9r/D1Fq8CciIiLdI9zkPxmY1Wx8fREREemDwm3w9w4wJpqBiIiISPcI987/duB3ZvYbYBF7Nvh7L9KBiYiISHSEm/wfCH7Ob2GdGvyJiIj0IeEmfxX5i4iI9BNhJX/n3OpoByIiIiLdo9UGf2Z2SLg7MbN0M5sRmZBEREQkmtpq7f8XM3vBzM41s8yWNjCzvczsRmAFMDMqEYqIiEhEtVXsPx24CPgFcK+ZfQasB6qAQcAk/Ex/jwJHOeeWRDlWERERiYBWk79zrg64DbjNzAqBQ4BRQAqwELgJ+G8w3a6IiIj0EeE2+FsALIhyLCIiItINwh3hT0RERPoJJX8REZEYo+QvIiISY5T8RUREYkxYyd/McqIdiIiIiHSPcO/815nZP8zsRDOzqEYkIiIiURVu8j8ZqAEeAdaY2S/NbFz0whIREZFoCSv5O+eed86dBwwDbgBOBJaZ2Ytmdr6ZJUczSBEREYmcDjX4c85td87d5pwrBC4FDgLuBdab2Q1mlh6NIEVERCRywhrhr5GZDQW+DlwAFAB/B+7AlwhcARQCx0Q2RBEREYmksJK/mZ0JfBM4DvgYuBX4m3NuR8g27wJLoxGkiIiIRE64d/53Ag8ABzrnFrayzQbguohEJSIiIlETbvIf6pyrbGsD59xO4OquhyQiIiLRFG6DvzIzy22+0Myyzaw+wjGJiIhIFIWb/Fsb2CcJ3/+/x5jZaDMrMbOXgodGIxQREWlDm8X+Zvbj4KkDvmNm5SGr44FD6R2N/F52zp3d00GIiIj0Be3V+X8/+GnAt4HQIv4aYBXwnciH1WEHm9mrwKvAlc4519MBiYiI9FZtFvs758Y458YALwMzG18Hj0nOueOdc29HIhAzu8TMFphZtZnd1WzdYDN7zMwqzGy1mZ0XsnoDMB44DMgFzoxEPCIiIv1VuMP7Humc2xblWNYD1wJ/bWHdbfiShjzgfOB2M5sWxFbtnKsI7vYfBWZGOU4REZE+rdVifzO7FbjCOVcRPG+Vc+7SrgbinHs0OG4hfvTAxjjSgLOA6c65cuA1M3sc+Cow18wynHNlweaHAp90NRYREZH+rK06/xnAgJDnrYl2/fpEoM45tyxk2YfA4cHzQ8zsWqASWAn8rKWdlJSUUFhYuOv1nDlzmDNnTnQiFhER6QHz589n/vz5jS+HtLad9ba2cUEiL3DOXRC8PhR42DmXH7LNhcD5zrkjwt1vYWGhW7BgQYSjFRER6Z3MbGEwEd8eOjSrX7Odju+mqXzLgcxmyzKBsha2FRERkXaElfzN7Fdm9vXguZnZ88AyYIOZHRDNAIPjJJjZhJBlM4HFUT6uiIhIvxTunf/5wKfB8xOBWcABwD3A9ZEIxMwSgpKEeCDezJLNLME5V4FvxX+NmaWZ2cHAacC9kTiuiIhIrAk3+ecBRcHzk4CHnHPvAP8PmB2hWK4CdgJzga8Ez68K1n0XSAE24WcXvNg5pzt/ERGRTgh3Vr8twCj8BcBx+ATd+P7Wxv3vEOfcPGBeK+u2AqdH4jgiIiKxLtzk/whwv5ktAwYD/w6WzwJWRCEuERERiZJwk/+PgdXASOCnQT08wFDg9mgEJiIiItERVvJ3ztUBv2lh+W8jHpGIiIhEVbh3/phZKr6YP5emDQWdc+6xCMclIiIiURJW8jezY/Ct7LNbWO3w3fNERESkDwi3q9//AU/hh92Na/ZQ4hcREelDwi32Hw2c6pxbH8VYREREpBuEe+f/OjApmoGIiIhI9wj3zv+PwM1mNgxYBNSGrnTOvRfpwERERCQ6wk3+/wh+zm9hnRr8iYiI9CHhJv8xUY1CREREuk24g/ysjnYgIiIi0j3CbfCHmZ1oZk+a2RIzGxEs+7aZHR298ERERCTSwkr+ZnY+8BCwHF8FMCBYFQ/8NDqhiYiISDSEe+f/U+BC59yPgLqQ5W/hh/wVERGRPiLc5D8BeLOF5eVAZuTCERERkWgLt7X/emAiflrfUIcBn0U0oihZtG4Ho+c+1WTZzIIs4uOMcwpHMGpwKokJcQxKSyQ/M5m0pLDnPBIREelTws1w84FbzezbwesRZnYocCMwLxqBdYcPi3YA8N6a7XusS4gzRg5OJS0pgcFpiWSnJ5KTkURSQjwDUwYwLjed7LREhqQnMTgtkcSEsNtOioiI9Khwu/rdaGZZwPNAMvBfoBq42Tl3WxTji6j7L9yfKfmZzP7l8wCMzk5l1ZZKLj16AvuMGsSD767h6UXFfO/IcWwpr2FTWTX1DY6tFTWs2FROSVk1NfUNbR5jUOoAauoauPToCRw/LZ/VWytJSogjM3kAeZn+QsHMuuPjioiItMicc+FvbJYKTMW3FVjinCuPVmCRljR0gita9jE5GUl8vG4HVbX1zCjIIikh/MEJnXOMueJpAP7xnQPZXF7DlopqnllUzLurtjJmSBpLi8va3U9uRhI5GUkhP5PJzWx8nUxeZhJDs1KIj9NFgoiIdI6ZLXTOFba4roPJfwjgnHNbIhVcd0kaOsEVr1jMoLTELu1nxaYyUhITGD4wpcX1je0KLjhoNHe9sYpTZg7j3H1HsH1nLQ+8s4akhDiy05LYVFZFSXk1m0qr2VxeTUMLv4ZBqQPIzUgmOz2RYQNTGJqVTF5mMvmZyeRnJTNicCpZKb7X5b8XF3PRvQtbjGnmiIFkpyUSZzCzYCDpyQkMSU9i39GDyc9K7tL5EBGR3qmt5N9usb+Z5QK/Bk4naNlvZqXAI8D/Ouc2RS7U6IqP7/qd9PjcjDbX/+t7B1NT38BryzcDMGpwKgeNHwLASTOGtvie+gbHlgp/IVBSVs1HRTtYv30nCfHGxtJq1m/fyWclvtqhpYuE9ny4dvuu5//5ZM9f1+C0RIakJ7JsYzkHjcvmgoNGMzI7ldo6R15mEkPSk4hTKYSISL/RZvI3szTgNWAwcA+wBDBgGnAucIiZ7eOcq4h2oJGQ0A0JbOaIgQCs2ORrRFIS269WiI8zX/Sf4e/Cj5yc2+J2dfUNbC6vobi0ivXbd/L+mm38+dWVYcd27NQ8nl+yEYDffmkm//PIImrqGhgzJI3sNJ/83/hsC2981nLBzkHjsllaXMbk/AwuPXoCe48cRF1DA6mJ6hkhItKXtFnsb2ZzgYuAA51zxc3WDQXeAP7onPt1VKOMgKShE1zp2qUdquPvirr6Bu59azXn7jeS5AHRO+bH63bwjbvepaSsut1tH/vuQZzxhzeYWZDFvy45hCNvfomVmyt46tJDmDYsi7VbK0lLSmDvoEHk/K/uQ3FpFR+s3c6qzRVsr6zl8817XuelJcZTUVMP+OqOEYNTGZ2dyrCBKYzNSeu2cy4iIrt1pdj/FOBXzRM/gHNug5ldD3wdXy3Q6yXEdV93vIT4OL5xcPQnQ5w+PIt3rzyGpcWlnPC7VwH4/FcnUVZVx8xrngP8Xf4nG/ZsiNh44deYnEcMTm2y/rhp+QB87UD/esWmco655eUm23zrkDHUNzjuemMVAP9YWER5dV2TbYakJ1EwyF8IFAxMYWxOOuNy0hmbk6bxFEREekB7/3kn44v9W/MacH3kwomu/lxt3ViAk5YYT1yckZU6gC8WFvDQgiLOmF3AGbPh/TXbAHZ1NWws8wn3vCQFYxkMy0pm/Y4qAC4/bhIpifEkxBmVtfVcd/p0tlbUsGZrJd+5byEbS6s5enIuRdsreX3F5hbbLcwYnkVORhIjBqUwYnAqIwanMnxgCuNz06NaaiIiEqvaS/6ZwNY21m+lDw3vGwv960Pv3m84cy+uOW36rtfTh2fxhb2G8oOjJwDwncPHccWji8jNbNri/6LDxzIsa8/eDC2dvuQB/oLgqi9M3bUsOz2J7PQk3v7fY/bYvrqunjVbKvmspJxbX1jBkg2lFG2rpK7B8e7KrZQ1KzUYnJbI2CFpjMxOZXR2GqOyU8nJSGL68CwykwfssX8REWlfe8k/DmhrVBtHB6YF7kkzhmf1dAhRlR4Un08ZuvtaLC7OSI7bfec8ID6O35+3967X5+43knP3G7nHvq44cUqLxxiWlcIXCwv42oGjuf6ZT3h9xZYOX1AlJcQzIS+DCXkZrN5SyZINpfz2S7M4YlIuzjl27Kxl9ZZK3l21lTc+20JGcgLFO6p4fcVmHn1vXZN9jc1Jo2jbTmrqdv+JzhiexT6jBjF75EBGDE4lJz2JYQM1ZoKISKj2Gvw1AEtpOpNfqARgknOu15fNFhYWugULFvR0GFH1zsqtzBieFVYPg66qqq2nvLqOIelJnd5HXX0Db6/cysFBV8j27Kyp56lFG7j68cV8eb8RLFq3g7c+b6tgarch6YnU1DUwJCOJyfkZnFM4gvSkBMYMSevSZxAR6a06PciPmf0inAM4567uZGzdJhaSfyzaXF7NLx5fzFMfbejyvlIT4xmbk8bFh4/nwHHZJCbEkZYYHxPVRSLS/0RshL/eyMzygMeAWqAeON85t0cmUPLv36pq62lwjqk//zfDspJ5/seHM+0X/wZ898MFq7fy8bpSfv6FqVzz5BIA7vrGvvz19VW8sqwE8OMt1LcyitKYIWmMz03nlJnDmFUwkJHZqS1uJyLSW3RphL8+YDNwiHOuwcwuAL4FXNuzIUl3a+wV8Mbco8hOT2wytsC8U6fxjTvfAWDmiN1tP46YlMvabTt5ZVkJ5+8/kqtPnUZFdT23v/wZf3z5sybjF6zcXMHKzRW7BkkCX5UwZkha8EhnzJBUxgxJZ1R2qnopiEiv1ueTv3OuPuRlBrC4p2KRnjes2ZwLRwWjJf76rL247+01zB4xqMX3OfzYDFmpcYwO7upPmjGUa06bzpSfPwvAC5cdTnVtAyfd6sdTOHpyHiu3VPDfT0t4aEHRrn2Z+caR67bv5Ky9Czh2ah5D0hPJy0xW40MR6RV6TfI3s0uAC4AZwAPOuQtC1g0G7gCOw9/pX+Gcuz9k/SzgT8DAYBsRlv7yhF1DOudmJvPjYycCcO5+I9gZ3NE35uHQ2q9ZIwcCfjjk0MaT43LSm+z/12fvtet5WVUtqzZX8vnmclZtrmTx+h2s276TR94r4pH3dl8YJMbHMSo7lYn5GUzMzWBSfjoT8zIYlZ2miwIR6Ta9JvkD6/HF9ccDzTuZ3wbUAHnALOApM/vQObcYwDn3AbC/mX0RuAL4TjfFLL1Ya0Xv15+5O2kbwYBHIdl/cn4mn157QoeGJc5IHsCMgixmFOyuVigpq6asqpajfvMyBYNS+N6R41m1uYLPSspZVLSjSSPFAfHG8IEprNpSCcD04Zl8ed+RTMzLYFJeBpkpCWp4KCIR0+Xkb2YDnHO1Xd2Pc+7RYH+FQEHI/tOAs4Dpzrly4DUzexz4KjDXzBKdczXB5juAyq7GIrGjcLSvBjh+en6T5e0l/nDycE5GEjkZSfzla4XsM2rQHtNJV1TXsWJTOUuLS/lkQxkPvLNm17qP15Vy1bqPm2yflhhPVsoAvrTvSI6YlEODc0zKz9DESiLSYWG19g+S7Tecc1uaLZ8C3O+cmx2xgMyuBQoai/3NbDbwunMuNWSby4HDnXOnmNl+wM34lv5VwDdbau0/atQol5OTs+v1nDlzmDNnTqTCln5s9NynAFh1w8kAFG2rJHlAfFTGB2hocLy/dhvPL9nEEx+uZ932nYzKTmVjaRVVta2PtzWzIItxOekMG5jCpPwMJuZlMDYnjQHxfWIMLhGJkPnz5zN//nwAFi5cuNo5N7ql7cJN/q8C44ALnHPPBcsuAW4EHnbOfT1CcbeU/A8NjpEfss2F+C59R4S7X3X1k85at30nifFx5GT07GBA67fvZMfOWn73n2X8e/HGJusOHJvNm583nYo5Ic6oa3DsPXIgs0cOYlK+r0KYmJfRLQNBiUjPikRXv8OBq4AnzGw+/kLgQOBbzrkHIhNmq8rZc/6ATGDPaepEomD4wD3nOegJwwamMGxgCuftP4p/L97IzIIsPizawbxTpnLBwWN4etEGNuyo4qBx2XxaXMb/vbCclZsreG/NdpZsKN1VcmDmGzjOGJ7F+Nx0xuWkMS4nnfG56YzKTiMxQaUFIv1dWMnfOdcAXGNm8cDP8MP9HuaceyuawQWWAQlmNsE5tzxYNhN16ZMYNSY7DYBzCkfw6HcP3tVj4aQZQ3dtM2VoJodNzOHGZ5dy5clTSE1MYM3WSj4tLuXZj4v55wfrWbx+B1vKq3ns/d1zJsTHGSMHpzIuJ52Rg1OZOiyT0dmpTMjLICtFEymJ9BfhFvsn4evVLwR+BRyKb3X/befcvyISiFkC/mLkF/gGfxcCdc65OjP7O74r9reD4z4NHNTY2j8cKvaX/qS0qpaMpM71AGhocPznk40cOTmXAfFxVFTXsTLohbBiUzmflZTz9KLiPd6Xn5nMxPwMJuX5tgWT8zOZkJdOdlqieiKI9EJdHt7XzD7GJ+avOOcWBMsuw3fNu885d2EEgpyHT/yhrnbOzQv6+f8VOBbYAswN7ecfDiV/kfCt3VrJZQ9/yI+OmcjO2jo+LS5n+cYyPt1YxvJN5U1mUmw0fXgmhaMGc8SkHAamJjJJbQtEelQkkv9fgEudc5XNls/EJ/8ZEYk0ipT8RSKjvsGxaksFn5dU8NryEt5euZWlxWXEGTSfGiE7LZGR2alkpyUye6SfanmfUYM6NIaCiHROVCf2MbMk51x1l3bSDZT8RaKntr6Byup6Zl7zHABzT5zM6ys2k56UwKvLN1Nevees4NOHZzJmSDp5GUnsM2oQ43PTGTMkjQR1TxSJiC639g+K3dvS65O/iETPgGBehJ9/YSr/WFjEdw4fx3cOHwfAlvJq4uOM6roGHnp3Lb95fhkAg9OSeOLD9QD85bWVACQmxDEmO43SqlrO2ruA0cFsiuNz00lP0mBGIpESbrF/A77BXYucc72+DE93/iK9w6PvFTFicCr7jh7MK8tKWLKhlEPGD2H5pjKWbijjyY82sG77zj3eNyh1AJPyMxiclsjRk/MYl5vO2Jw0MpPVC0GkJZGo8z+82aIBwGzgYuCqjja+6wlK/iJ9w86aepYWlzJ9eBZrtlayYpPvhbCoaAfPLt6zF0JuRtKuKoPR2X6K5VkjB0ZlBEaRviRqdf5mdha+u9+Jnd5JN1HyF+n7Goda/v15s0mMj+OzEt9FcdnGMpYWl+3RC2FIeiKHTcghIzmBg8YPYWbBQPIyk9Q1UWJCNJP/OOAj51xap3fSTZT8Rfq+fy8upryqjrP2KdhjXV19A6u2VPDuqm28vmIzTwazJiYlxFHd7KJgYl462ytrOWXmMPYqyGLasEzGDkknTtMqSz8SieF9W9ppOvBDYG1n9yEi0hHHT8tvdV1CfBzjczMYn5vBlwpHMCkvgy/uO4KBqQN4ZlExwwel8NC7a3HAprJqlm0s546goWGjsTlpTMrLYMwQP+Tx9OFZjBicopkTpd8Jt86/jKYN/gxIBSrwE+w8EZ3wIkd3/iIS6okP1zN9eBbVdfW89dkWnvxoAxnJCazcXMGqLbuHNDGDgkEpTMzNYHxeOpPzM5gxPIvhA1M1iJH0apFo8HcBTZN/A1ACvO2c2xaJIKNNyV9EwnXn6yu5+oklnLV3AaOyU1m2sYzlG8v5fHM5tfX+X2HjRcGE3Awm5KYzIc//nJSfQfIAXRRIz4vqID99hZK/iHRVbX0DP//Xx1TXNjAqO43lm8pYsamcz0sqqKlv2q7gwLHZTB6awbgcX1qgyZGku3Wqzj+MgX12cc5t7UxgIiJ9yYD4OK4/c689ltfVN7BmayXLNpbx0398RGlVHZW19fztrTVNLgoGpyUybGAyM4ZnMWVoJodPzGHk4FT1PpBu1+qdf3sD+zRuBjgN8iMi4lXX1WMYiQlxVNXWs7m8mrc+30rRtko2bK/ihaUbqaptaDLkceMARlOGZjI8ZMbE3Ax1S5TO62xr/yOjFI+ISL8VOmlR8oB4CgalcvY+qU22cc5x9RNLuOuNVYDvxfDpxjLufH1Vk+0ykxPIz0omLSmB02cNZ3xuOhPzMsjJ0ABG0jWtJn/n3MvdGYiISKwwMy4/fhI19Q0cMTGH44IujFvKq9lUVs22ihqWb/KDFz3zcTHLNpbz/prtu94/JD2RacOySE9KYL8xg5k2LJNR2Wm6KJCwtdngz8xuAX7mnKsIXhcA651ze07m3cup2F9E+qKq2npKd9bigBWbyvm0uIwlG0pZVLSDTzeWNdk2NyOJacMymTYsa9fPEYNTVHUQozrd2t/M6oGhzrlNwetSYJZz7vOoRBpFSv4i0t88v2QjF96zADO48qQpLFlfyuL1pawoKae+oen/9unDM5kxPIvxuRlMG5bJuJx0hqQn6sKgH+vKCH/N/yr0VyIi0kscOzWP5df5qVUGxMftWl5VW8+nxWUsWL2Nv762kmEDk6mua+CZj4vZXrl7UNaM5AQm52cwbVgWo7NTmT48i6nDMjWiYQzQb1hEpA8LTfqNkgfEM3PEQGaOGMi3Dhmza7lzjpLyal5aWsL2nTWs3lLJ0uIy7n97zR7jFBwyfggT8zKYmOcHLpqQl0F6klJGf9Heb9IBg8ysLuT1wOZjAKifv4hI72dm5GYk88V9RzRZXlvfwGcl5RRt3ckD76yhrLqO0qpa7ntrdZOLguEDU9hZW8+Rk3LZb8wgxuWkMy4nnUFpid39UaSL2qvzb97X31p6rX7+IiL9T2VNHRt2VPF5SQXLNpaxZH0pTy3asMd2uRlJTB6ayZShGUzJz2TK0EzG5qS1WCoh3acrdf7q6y8iEqNSExN23d0fOzUPgP3fXMXeIwexubyaTaXV7NhZyyfFpSzdUMadn21pUlKQmBDH1KGZ7D92MBNyM5icn8H43HTNfdALaGx/ERGJiNr6Bj4vqeC1FZv55ZNLAEiI8+3E64LeB/FxRnZaInsVDGRCXjoTctOZnJ/J+Nx0EhPiqKtv4KEFRZy9TwGJCSo56Iqu3PmLiIiEZUB8HJPyM5iUn8HYnDT2HzOYAfFxxJmxaksFSzeU8cmGUt76fAsrN5fz8rJNu2ZJTIgzRman8nlJBQAPvruG68/ci7E5aSopiALd+YuISI+orW9g9ZYKlgQXBe+u3MpH63ZQU7e76iA+zhg7JI3JQzMZk53K1GFZTMxLZ+TgVBLUpqBNuvMXEZFeZ0B8HONzMxifm8GpM4ftWl5aVcu6bTv9EMfFZSwtLmXBqq088eH6XdskxscxNieNycGESJOHZrJh+06q6xr4+kGje+DT9C268xcRkV7POcemsmo27KhixaZyVgRzH3yyoZQNO6qabJs8II4z9y6gYFAKb32+lZ9/YSrjctJibjTDTg/v258o+YuI9E/bK2tYWlzGY++t46Vlm6ird9TUNVAWMm1yRnJCMGiR73XgGxtm9OshjjuV/M3s1nAP4Jy7tJOxdRslfxGR2NFYUvDEh+tJTIhj2cYylhWXs7S4lNKq3RcFg9MSmTo0k2nDMsnPSmbWiIF8VLSDQyYMYVxOeg9+gq7rbJ3/jDD3HxtFByIi0meYGXmZyXz70LFNljvnKC71VQfLN/qqg8XrS/nTK3vOV3f4xBwm5KYzMd+XGEzITSetnwxx3OqncM5pgB8REelXzIyhWSkMzUrh0Ak5u5Zvrajhs5JytpTX8J37FjJ9eCaby6t56/MtVIf0PhgxOIVpQ7OYPjyT8bkZjBmSxpghaX1uTII+fwljZlnA88BU4ADn3Mc9HJKIiPQxg9MSGZzmp61ZdcPJu5bXNzjWbq3k041lLN9YxifFZSxet4NnFxfv2iYhzhiVncrkoZlMbRzmeGgmQ7NSuv1zhCvs5G9mE4GzgZFAk1kcnHPfjHBcHVEJnAzc1IMxiIhIPxQfZ4weksboIWkcPy1/1/LSqlre+XwrJeXVFG2rZNnGcj4q2s5TH+2e+2BAvDF9eBYTc30Dw/G5fobE/MzkHm9kGFbyN7OTgUeA94F9gHeBcUAS8GrUoguDc64WKOnpEykiIrEjM3kAxwTzHYQqrarl0+Iy3lm5lWUby9hYWsULSzfy4IK1u7bJTktkQl46Y4akMzkYEXFyfgYDU7tvdsRw7/yvAa52zl1vZmXAV4H1wL3Am5EIxMwuAS7ANzR8wDl3Qci6wcAdwHHAZuAK59z9kTiuiIhIpGQmD2Df0YPZd/TgJsu3VtSwfGMZn24s473V2/h4fSmfbNjAA++s2bVNTkYSE/PSd3VJ9I90MpIHRDzOcJP/JODB4HktkOqcqzKza4CngFsiEMt64FrgeKB5RcltQA2QB8wCnjKzD51ziyNwXBERkaganJbI/mOz2X9sNl87cDTgex5sLK1maXEpnxaXsXxTOcs3lvHgu2uprKnf9d7hA1OYmJfOpHzfnmBSfgZjh6R3qZFhuMm/DEgOnm8AxgMfB+8f1Omjh3DOPQpgZoVAQeNyM0sDzgKmO+fKgdfM7HF86cPcSBxbRESku5kZ+VnJ5Gclc8Sk3F3LGxoc67bv5NPiMpZtKuPTYv94bcXmXRMhASQlxHHM1Dwm5KYzJRirYPjAlLDaE4Sb/N8GDgGW4O/0f2NmM4EziFCxfxsmAnXOuWUhyz4EDm98YWZP40sEJpnZn5xzdzXfSUlJCYWFu8c6mDNnDnPmzIlWzCIiIp0SF2eMGJzKiMGpTdoVNE6ZvLS4lIcXFFFeXceioh08vWgDjeP1pcQ1UFeykoSyDQBDWjtGuMn/x0DjUEfzgAz83fiyYF00pQOlzZbtCGIAwDl3Uns7ycnJQSP8iYhIXxU6ZfJps4bvWr6zpp6lxaV8vL6Uxet2sHj9ID4tLgNu2NzavtpN/maWAEzG3/3jnKsELu7ypwhfOZDZbFkmvipCREQkpqUkxjN75CBmj9xdC19T10DSr1p/T7utBZxzdcCjhNxpd7NlQIKZTQhZNhNQYz8REZEWtNcYMNymgh/iG/lFjZklmFkyEA/Em1mymSU45yrwFx/XmFmamR0MnIbvZigiIiIdFG7yn4dv5He6mY0ws8GhjwjFchWwE9+C/yvB86uCdd/Fd//bBDwAXKxufiIiIp3T6pS+TTYyawh5GfoGA5xzLj7SgUWapvQVEZFY0tkpfUNphj8REZF+ItzkvxJY65oVE5gfSWBExKMSERGRqAm3zn8lkNPC8sHBOhEREekjwk3+RtO6/kbpQFXkwhEREZFoa7PY38xuDZ464HozqwxZHQ/sB3wQndBEREQkGtqr858R/DRgCn5mvUY1wHvAzVGIS0RERKKkzeTvnDsSwMzuBH7gnGs+xr6IiIj0MeHW+V/BnuPrY2YFZpbXwvYiIiLSS4Wb/O8DTmxh+fFomF0REZE+JdzkXwi80sLyV4N1IiIi0keEm/wTgKQWlie3slxERER6qXCT/9vAxS0s/x7wbuTCERERkWgLd3jfK4EXzWwv4MVg2VHAbOCYaAQmIiIi0RHWnb9z7i3gQGAVcGbwWAkc6Jx7I2rRiYiISMSFe+ePc+5D4PwoxiIiIiLdINw6f8wsz8wuN7M/mNmQYNnBZjYmeuGJiIhIpIWV/M1sH+BT/J3/t9k94M+xwHXRCU1ERESiIdw7/5uB/3POzQaqQ5b/Gzg44lGJiIhI1ISb/PcB7m5h+QZAw/uKiIj0IeEm/53AoBaWTwY2RS4cERERibZwk/+/gF+YWeNofs7MRgO/Bh6JRmAiIiISHeEm/8uBwUAJkAq8BqwAtgNXRSUyERERiYqw+vk750qBQ8zsKGBv/EXDe865/0QzOBEREYm8sAf5AXDOvcju4X1FRESkD+rIID+nm9krZrY5eLxqZmdEMzgRERGJvHAH+bkMeBA/0M9Pg8dS4H4zuzx64YmIiEikhVvsfzlwiXPuzyHL/mpm7wDX4AcBEhERkT4g3GL/dOC/LSz/b7BORERE+ohwk/8/gbNbWH4W8HjEohEREZGoC7fYfwUw18yOBN4Mlh0QPG4xsx83buicuyWyIYpIn1JfB6XroHQ9VG6BndsgORMyCyCrANJzwaynoxSJaeEm/wuAbcDE4NFoG/CNkNcOUPIXiSVlxbD0SVjxImxcBDvWgatvffukLJjyBZh0EuRPh0Gjuy1UEfHCHeRnTLQD6SwzywKeB6YCBzjnPu7hkET6N+dgw4fw8T9g+fNQ8ingIHM4jDoY9hoFA0f612lDIHkgVG33JQFbP4eVr8KSf8EHfwMM9v4anHwLxHdo2BER6YJOfdvMLAFIds6VRziezqgETgZu6ulARPqF6jL44AFIHQwTjoWKzbDiP9BQB+vfh0UP79520Bg45Icw8zwYMqGN4vxRMHSmf3rg96C63F80fPwIvHWbrw44/KfR/mQiEmgz+ZvZ0UC2c+6hkGVzgXlAgpn9B/iyc257NINsi3OuFigx1SFKb1KxBT76O2xeBqUboL4aLB52FMHgsVC1wyfLg38A2eN2v885/7On/p63rYLHvgNrgqY9B10K798HO7fu3mbQaJj8BZh4Aow5tHPHSUqHgn38o2w9vHQDDN8Hxh/d1U8gImFo785/LvBM4wsz2w/4FXAH8AnwE+DK4Ge7zOwSfPuBGcADzrkLQtYNDvZ7HLAZuMI5d3+Yn0Okd9i2Gl79DXz4ANTXAObrtRsaYMsKiEuA+ETYshzWvAHv3e0vCkLryIdMhKOu8gk2Lj6y8TkHnzwOy5/zSb1RUhak5/gYLc4Xxb93D7z9J3/hcu7fIWeSj3/gyMjGdOrvYcNH8Ldz4LDLYeLxkD0ekrM6t7/GBocZ+bBzO9RV+SqH6jIYeYA//wOSuxazc2q0KH1ae8l/Bv4CoNE5wBvOuQsBzGwtcC1hJn9gfbD98UBKs3W3ATVAHjALeMrMPnTOLTazfODvLezvy8654jCPLRI9DQ3w9/NgWXCtvM8FsPfXYdjs1pPEbyZD2YY9G8dtXgYPfc0/P/gHcNTPIH5A1+L76GGoKIF/X9Hy+ppy2LLDP//Oa5A3DTYv9yUAyQNhwnGRvxBplJQOFzwJz/0MXv61f4AvWfjivZCQ2PRzfHAfnPewX96YhGurfLuCZ+fCp89C3c7Wj9dYcpE9Dqac6tsvjD3Cf76GenANu893fZ1fXr4RMFjxvL9o2rYazr4DRh0UnXMiEmXmGosZW1ppVgVMcM6tDV6/ATztnLs2eD0a+Ng516GBfszsWqCg8c7fzNLwPQemO+eWBcvuBdY55+a2uqOm+7wLuLm1Bn+jRo1yOTk5u17PmTOHOXPmdCRskZZtXAx3nuSTD8CFL/oi7PZsX+tLB+prIGcy1O70d6llxXDPqT5ZN5q3o+l7ayp9EX3mUEgZ1HTdhg99VcOOtfD8z32CWtFsAs64BPjqP/3dcEEhpA6Bik2wdSWMOtBv89h3fAnG1NPgi/d04IR0Qcky2LQEnrvKx58xFM78s69eqNoBv50O1aV+2+zxPukPGuVLLMo37t7PkVf5BonpeT7ZV5f5EovXf9fycYft7S/YXrsF8qbDoT+Gjx+FN2/Dd2IKkZ4HddX+9/bNZ3e3ZRDpBebPn8/8+fMBWLhw4Wrn3OiWtmsv+a8EvuGce8nMkoDtwBeccy8E62cALznnsjsSXAvJfzbwunMuNWSby4HDnXOnhLG/p/GlBauBPznn7mq+TWFhoVuwYEFHwpT+pKbCtzD/9BlYtzC4427w/8jP+BOMORxqyjpW1LyjCP5zNSwKmsQc8iOfdCLRar2uBpb/Gx78in9dsB984xm/75dvgv9e65dPORW+dK8vNt/0ib9geO7K9vf//featjVoySs3wYvXwok3wv4Xde3zdJRz8OIvfRUKwKGXwRu/91UQKYP82AGhUodA7hSfiIfvDdPP8qUxcc3GMStdD7dMgRNugKQM+Nf3fLKvKGl68dDciAN8z4V9vw2jD/HH/+OhkJEH33yu69UIIlFgZgudc4Utrmsn+f8BKMQX/Z8KfAUY5pyrCdafD1zqnNu/gwE1T/6HAg875/JDtrkQON85d0RH9t0aJf8YVF8Hix+FBXf6+nUAzA8yM+5oWPzYnsXDly/365urqfTF0R/8DdJy/N1pqIxhcNknkf8Mb/8JnglpBb/Xl31DwkaJGXDJu3DL5Pb3ddptMPsr/ryEc4FSUwHv3uETf0JSx2OPhOXPw6Nzdjc4nHIKnHIrJGXCA1+CaWf6KonU7D0TfWtqd8KAoNaxcqu/mHANvi2ExcHj3/djEKTlwAEX+4vFCcc3rX4A+OQJf3GWMQxO+Z2PY8V/oL7WX1SWfOIvXsYfC7PO85+hphLGHObPZ121vwDZttLvY8da3wi0UdlGH9v21b43xLZVPr7PXwacLyGqq/YXJeWbfDuH3Cm+hCQuAWorfWlHfZ1vd7KjyMdVtcOXpKTl+u2afy7pN7qS/IcAjwKHAOXA151zj4WsfwF40zl3VQcDCufO/zLgiHDu/MOh5B9j1r0Hfz5y9+uCff0/8EN+1DTxlW+CRf/Ysy48PhFO+wNMPM7fVd/9hdaPdd5DvpFatGxcArcf2HTZiAP8P/BXwujheskCnxxTB0cnvu5QW+Xr3rva9iEc4V4cge+q+MI1/u+oYF9Y+XILGxlNqg4szl9sACSm+/YWiRm+5OnYa4ILiDpY+xbEJ7XefqGx8WhtJQxI8w02t63yz12Dv8BorIpqLiHZt2+Ii/cXUikDfSPPA74X/kWU9HqdTv4hO8gCyp1r2jIpaKFf3lgS0IGAWqvzn+acWx4suwdYH26df3uU/GNETSU88m349Cn/euppcMb89otldxTBA+dC8UfhH2vQGDjnTt+oL9pKPoVXbvYlDqMPgeOv93eMtx/k2wmAvyN+4tKm7zvuOjjokujHF8vKNvoGmmvfguGFvrRgyb98Q8QTfu3HR3gu6L2ROQw+f8lfxMTFQ3kJVG5uOnZCcpavsigo9KVQw2b7u/XBY32izyzw1Q0pg/3+aithQKo/XnU5JKbtbmRatcNfbKx7z7d9qNjsL2wW3Om3c85fdGz5DFa/DuOO8lVgddW+bUXtTl9qMOE4XxJUU+EvJOMT/cVkT5UISVi6nPwjGEgCvofBL4AC4EKgzjlXZ2Z/x18efxtff/80cJBzbnEkjq3kHwO2roRbZ+1+/d23ITeM4vBQa9+BO45ted0VRf6f4k3j/D/1A77T6VAjpnyT/0ecMnD3ss0rIC3b31XGJahLWndwzrcbSMvp3PmuqfTF+58+4+/AkzL9BUJ3/e6cg7f/6Ku2GttTDEj1f1ttlR6MO8pf7IDvspo1HAaO0t9cL9Gbkv88fOIPdbVzbl5QivBX4FhgCzA3kv38lfz7uc9fgntO88+TsuAHH3S9mLtis0/0AD/fGr2ubiK9hXO+GiIhxZcQOAdr34aNH/sunwNS/WRN9TW+NGrRw00HgAJfcjF0Jkw6GWac7dskSI/oNcm/Jyn591PO+cFoGou7c6bA996K3P53bg8acOW0u6lIzKku92MfpAzy38Vtq3xX06J3/QUD+Dkekgf6RpbpuTBifz+GQ0dL5aTDlPxR8u9Vqsvg5om+rrK502/3LaPDUbkV/nyUr/sGOPASOP66yMUpIp234SP4/L++wWpNuf++b1/jx2QAyBrhx2pITPOjWk473S9LHqhGhxGi5I+Sf6+x8tW2W84DXLWp7YZEZcXw/wp9Q6VGJ94E+2vQJpFer3Q9fPIkFL3jGxrWVvrRJBvbk6flwKQTfY+WoTP9sNLd0cujH2or+WsOTekezsGjFzZt1Xz5Cl8f2FDnGws9Oxfe+ZMfrGbYrNb39ZtJTV+f+yBMOiEqYYtIhGUO8xfqoRfr5SW+lKBis78o+PgxX50HvrvjkIl+DIScSb6XQ3wCjD8m8vNMxBAlf4k+5+CfFzdN/PtcsLsevfGqfv+LfPLf8GHryX/LZ01fX7IQhoyPdMQi0p3Sc2CvLwYvvuvHINj6uf9fsOED37hw3UI/MNeuMRPMd4fMGuEncUrP8z8HjvLtClR10CYlf4muyq1w4xj/fNzRfkCc1gZQGTzW/3ziUpj9Vf/lvXVv2PqZH5lu2N7w1I93bz93LSRnRjd+Eel+cfH+Tn/IBN9joFHtTt8tsmo7fPQQrHzFXxws2wi1Fbu3GzIJJhwL6z/wIxjOOMc3MuzLA11FmOr8JXpqq+D3hX7YUoCfb2v/anxemGPrf/WfMO7IdjcTkRhRXeYHXFq3EN74f35ArKF7+XELtq3y2wwe5+e0SM/1JQXp+b60IHO4L23sZ915Vecv3a+6DK4v8M/3uwhOujG8953xJ3isjUlkUgbDZZ9qPHIRaSopwz+GjPdVCA11vkrROShaAKtf8z93rIXiRX6ArNBBa7NG+Gm4Uwb6EoZJJ/XrKkXd+UvHVe3wV9ODRu+5rqzYz8veONPd8H38FLcd8eJ18EpwsTBwJPzgI40YJiKR1dDgBywq2wCbl8F7d/tqhEZxCX4WxzGH+QuIASl+PIOMfD/VdB/4n6Sufij5R8zqN+D+L0P1DjjnLph2hm+c8/EjvjV/c83noQ/Xq7dA7lS14heR7lO20Sf1+lo/adZ7d++ehClUYrqfQXHC8TD5JF+d0AundVbyR8m/y8o3wUvXw4K/7p6BrD37Xwwn3hD92EREomFHke9+aOarAnZu88u2rPBVCOtCckpSpi+pzJ0C+TN8A+e8acHFRF0w02L3Vleqzl86zzm4ZYovGgM44Ltw1FV+LP2/tzAS3/7fgRNu6BNFYiIibcoq8I/WlG6Az16EsvV+rIKtn8Oat3y35ud/7hsUmkH5Rj9J0rijgrYEE/wcCOl5PdYDQXf+0rqy4qYD6pxztx+Cs1FVKdwwoul7frFdiV9EYlvpBljxH1j5sh+kKHOYbyv16dO7ez81yp4Aow7yXRMnHNd0dNO66i5Nm6xif5T8O2zbKvi/mf55Qgr8z0rf4KUl9bXw8AWw9MnO1/GLiPR3zvkRTMs2+IuB7Wt8O6o1b/l2VMkDYeqpfsKkogWwYw2MPQL2+YYf8nj7Wij+yM+qOP3s1sdMCSj5o+TfIe/esXswneQs+J/V7d/NO+cfGlVLRKRj6ut8VeqHD8DSp/z8BgWFkDUcFv8zKC0wdo9uCIw6GM66AzKHtrpbJX+U/MP29p/gmZ/650f/Ag79cdvbi4hI5DjX9GaroR5WvACrX/dtBfJnwMbF8NRlMCAVjpkHFZugaKFviJg9zm+TPwObeqoa/EkYrhu2e4jMAy9R4hcR6W7NS1nj4mHicf7RaOhMP4bKwxfA45f4Zdnj/QRIWz6DZc+23EUxhJK/+Ck2b5my+/X0s+H463ouHhERaVvOJD+A2oaPfIlAaK+Bmko/vPHV+7b6diX/WFdT2TTxn347zDy35+IREZHwDEiBkfvvuTwx1bcZaIOSfyx78Vo/ilWjqzZ1qVuJiIj0DUr+scg5uDYP6qt3L7uqRJPliIjECCX/WFLyKTz0dSj5ZPeyyV+AL/+t52ISEZFup+QfK979i+8aEurK4tYH7hERkX5LyT8WPPFDWHhn02WF31LiFxGJURqOrT+r2gF/O8cn/oL9fL3+0b/w6066uWdjExGRHqM7//6quhzuPhU2fOBff+G3vkHfoT/W4D0iIjFOd/790c7tcO/pULxo97K2pqUUEZGYojv//qZii0/8mz6BL97t54v+8AE/QY+IiAhK/v1LWTHcc5qfjvfcB/z80AAj9uvRsEREpHdR8u8vyjbCbyb5519/EsYc2rPxiIhIr6U6//6gfBPcecLu10r8IiLShj5/529mecBjQC1QD5zvnNvQs1F1o53b4b4zfZG/iIhIGPrDnf9m4BDn3OHAPcC3ejie7lNbBfd/ETYthS/eC8MLYcYXezoqERHp5fp88nfO1TvnGoKXGcDi7jju/Pnzu+MwrWtogL8cDWvfhrP+DBOOgQtf8M+7qMc/Wx/T185XT8cb7eNHev89eb762rnqDv3599EZnY2pW5O/mV1iZgvMrNrM7mq2brCZPWZmFWa22szO68B+Z5nZ28AlwHstbbNjx44uxd5cV/8Innjiia699/XfwcaPYdJJMO2MiB6vN/6B92Z97Xz1dLx9LaFFYn+d/b535tj9/buu5N9UOzG12se7u+/81wPXAn9tYd1tQA2QB5wP3G5m0wDMLN/MXmrhkQ/gnPvAObc/8DPgipYOvH379sh/mi7oSvJf9u+/wAvX+MT/5fujfjwR6Zru/P7puy4hBra2wpxz3RhHcFCza4EC59wFwes0YBsw3Tm3LFh2L7DOOTe3nX0lOudqgufHA8c75/YYv9bMdgINIYtK8O0FOmtIF9+fBXS2OKIz7+3Ie7r62WJNXztfPR1vtI8f6f1HYn+d/b535tj9/bvekzH3xvPVPKYhQE7wPM451+IMbr2ltf9EoK4x8Qc+BA4P472zzOxmfEv/KuCbLW3U2gkQERGJNb0l+acDpc2W7cA34GuTc+4d4LBoBCUiItIf9ZbW/uVAZrNlmUBZD8QiIiLSr/WW5L8MSDCzCSHLZtJN3fZERERiSXd39Usws2QgHog3s2QzS3DOVQCPAteYWZqZHQycBtzbnfGJiIjEgu6+878K2AnMBb4SPL8qWPddIAXYBDwAXOyc67E7/46MO2Bme5vZK2ZWbmYbzewH3RlrpLQ1DoM0ZWZJZnZH8LdRZmYfmNmJPR1XW8zsPjPbYGalZrbMzL7dAzFMMLMqM7svCvt+Kdh3efD4NAL7/LKZfRL8H/jMzLpl4gwzG21mT5vZNjMrNrPfm1mn22i1M8bK0Wa21Mwqzey/Zjaqyx+gi1qLNzgvLuR3XG5mP4vwsdv8bvfE+Qojpi8Gf6dlZrbEzE5vd6fOOT1aeOAvQB7EN0Y8BN8AcVoL2w3BX7CcDyThGylO6en4O/mZzwROB24H7urpeHrzA0gD5gGj8RfRX8C3URnd07G1EfM0ICl4PhkoBvbp5hieA14F7ovCvl8Cvh3B/R0LrAYOCH7Hw4Hh3XSengbuApKBfGARcGkX9tfidzv4/7UDOCc41k3AW935N9HBeEcDDkiI4rFb/W731PlqJ6bh+DFyTgQMOBmoBHLb2mdvae3fqwTjDpyFH3egHHjNzB4HvoovtQj1Y+Dfzrm/Ba+rgU+6LdgIcs49CmBmhUBBD4fTqzlfVTUvZNGTZrYS2AdY1RMxtcc1LUlzwWMcsLA7jm9mXwa2A28A47vjmF10NXCNc+6t4PW6bjz2GOD3zrkqoNjMnsVfvHVKG9/tM4HFzrmHg/XzgM1mNtk5t7Szx+uqnvxf1M53O5seOF/txFQEbHfOPROse8rMKvDf7U2t7bO3NPjrbVobd6ClL98BwFYze8PMNpnZE2Y2sluilF7D/OySE+nljVTN7A9mVgksBTbg7zC747iZwDX4i+Vout7MNpvZ62Z2RGd3YmbxQCGQY2YrzKwoKHrvrvFCfgd82cxSzWw4/q7u2SgcZxr+fxuwK8l8RhcuNLrJ6uB3cqeZDYnmgZp9t3vF+WoW0wLgEzM71czigyL/auCjtvah5N+yjow7UAB8HfgBMBJYia8ykBhhZgOAvwF39+TdUjicc9/F/x0fim9kW91Nh/4lcIdzriiKx/gfYCy+GHQ+8ISZjevkvvKAAcDZ+HM1C5jN7jZK0fYKPqGU4u/sFgD/jMJx0tlzNMCwxljpIZuBfYFR+LveDPx3Lypa+G73+PlqHpNzrh4/o+39+O/z/cBFwYVJq5T8W9aRcQd2Ao85594NiuiuBg4ys1YnVJD+w8zi8L1SavATS/V6zs+E+Rr+wvXiaB/PzGYBxwC/jeZxnHNvO+fKnHPVzrm7gdeBkzq5u53Bz//nnNvgnNsM3NKF/YUt+Jt6Fn9xloavZx4E/DoKh+tTY6w458qdcwucc3XOuY3479xxZhbx5NvKd7tHz1dLMZnZMcCNwBFAIn5k3L8E37tWKfm3rCPjDnyErztt1P2TJUiPMDMD7sDfJZ7lnKvt4ZA6KgFfLxhtR+AbJq0xs2LgcuAsM2txBs4IcvgGUB1/o3Pb8HfcPfHdHowvRfx9cCGzBbiT6Fx4LMb/bwN2tXcaRy+vvgrR+DuJaC5r47vdY+erjZhmAa8EF0UNzrl3gbfxF9ytUvJvgevYuAN3AmeYn1Z4AH5mwdecc5GdQ7gbWCvjMPR0XL3Y7cAU4BTn3M72Nu5JZpZrvttaelAveDxwLvBCNxx+Pv4f5Kzg8UfgKeD4SB3AzAaa2fGNf7Nmdj5+2O+u1JPfCXw/OHeDgB8BT0Yi3rYEpQwrgYuDzzIQX7XYZh1uW9r4bj8GTDezs4L1Pwc+6unqq9biNbP9zWySmcWZWTZwK/BSFP7ftvbd7snz1VpM7wKHNt7pm9lsfFVV238v0e6i0Fcf+KvvfwIVwBrgvGD5oUB5s20vxrcE3gY8AYzo6fg7+ZnnsbsVeONjXk/H1Rsf+DpHh59MqjzkcX5Px9ZKvDnAy/jW9qX4rmMX9lAs84hwV7/g872LL37dDrwFHNvFfQ4A/hDsrxifaJK76RzNwndd3Iav534IyOviOW/xu42/Q1yKr+p4iV7QXbW1ePEXrCuD/8sb8HXd+RE+dpvf7Z44X2HEdAmwIvj7/xy4rL199siUviIiItJzVOwvIiISY5T8RUREYoySv4iISIxR8hcREYkxSv4iIiIxRslfREQkxij5i4iIxBglfxERkRij5C8iTZjZXWYW9WFsw2VmL5nZ7zvxvkFmtrELM/t15FgPm9ll0T6OSKQo+Yt0MzO7yMwqzCwxZFmimVWa2cfNth1vZs7Mju7+SLtXZ5N8G/4XeNo591kE99maa4ArNZun9BVK/iLd779AKrBfyLL98fOCTzCznJDlR+Ln6H69+8Lr+8wsFfg2fha0qHPOLcKPqf6V7jieSFcp+Yt0M+fcMmA9PrE3OhI/w94C/BS4ocvfdM5VmdkJZvaqmW0zs61m9m8zm9K4oZnNCYq540OPZ2b3m9njwXMzs5+a2WdmttPMFplZmwmrvfcEd+x/MLNfmdlmM9tkZjcHc483bpNmZveYWXkQ4xVm9qSZ3RWsvws/D/n3gpIOZ2ajQ8KIa2v/LTgJPxHKrosmMzvAzBosZO73oGrAmdnMkM9yu5n9JjjHJWb2AzNLMrPbzGy7ma0xs6+2cMzH8RPPiPR6Sv4iPeO/7Jn8XwoeocuPCLYFSAN+hy8xOAJfUvBESPXBw0AWcGzjm80sHT8d9X3BomuBbwHfA6YC1wN/MrOT24g1nPecD9QBB+FnGPsh8KWQ9b/BJ/czgKPwc6IfGrL+B8Cb+Gl0hwaPtR3Yf3OHAgtd05nLZgHLnXNlIctmAzXAkmbHKsOXxtyAP+f/BJYBhcDdwF/MbGizY74D7GdmKW3EJdI79PTUjXroEYsPfDLdCSQByfipOscDxwGfBNtMxt+9HtLKPtKA+tD1wKPAvSGvv4K/SEgOtt8JHNpsP7/D1403vr4LeDLkGG2+B3/B8maz9c8Dfwmep+MT7Jebxb4NuCtk2UvA71v4nG3uv5Vz80/g7mbL/gg80GzZZcD7rR0LMKAEeDxk2YDg85zdbF97Bb+vcT3996WHHu09EsK4PhCRyHsRn5APJEgwzrkVZrYBGGdm+fgSgErgbYCg1fov8XekOfiSuzhgZMh+7wPuNrNU51wl/i72EeerDfYNjvmsmYXeEQ8AVrUS59Qw3/NRs/etB3KD5+OC7d9pXOmcq2jeuLEdbe2/JSnAxmbLZuEvjkLtDXzQ2rGcc87MNgGLQpbVmtm2Fo6/M+TYIr2akr9ID3DOrTSz1fjiewNeDpZXmNnCYPkRwGvOudrgbU8CRcBFwDp8MfgSIDFk108Fy08zsxeAY4Djg3WN1XynAGuahVRLy8J9T/P3OyJbrdjR/W8GBjW+CNoHzACuarZdIfCHMI4VzvEHBz9L2ohLpFdQ8hfpOY31/gbcE7L8JXy9+BHALQBmlo2vBviuc+6/wbK9afYdds5Vm9nD+Dv+IUBxsD/wFwrVwCjn3IthxtiZ9zT3GT557otvEd/YGn96sK5RDRC/x7s7533ggpDXE/E9LNY3LjCzGcHyDyJ0zOnAOudc8xIHkV5HyV+k5/wXOC94/s2Q5S8DDwEZ7G7stw1/N3uhma0FhgM34e/ym7sP33NgDL6OuwHAOVdmZjcDN5uZAa/g6+MPABqcc/Ob76gz72lhH+Vm9lfg12a2GdiAvwOPw99BN1qFbzA3GigHtjbG3gn/Do6X7Zzbgi/yB7jEzH4LjMa3WwDf7iISDg2OK9LrqbW/SM/5L77IfpNzbkXI8tfw9calwEKAIAl+Cd+o7GPgNuBn+Lvy5l7FVwtMZXcr/0Y/A+YBlwOL8Q3nzgJWthFnZ97T3OVBXI/jP/dH+G6NVSHb3MzulvclNG3L0CHO97t/B/hysGhWEHcB/vzdgh+YZxvw/c4ep5GZJeN7Mvy5q/sS6Q7mnGt/KxGRCDKzJGA1cJNz7jdROsYJwP/hL4KewrfqvyJKx/oecJpz7rho7F8k0nTnLyJRZ2azzey8YLji2fi+8hnAg9E6pnPuWXwJSQH+zr95j4FIqiUCJQgi3UV3/iISdUHC/zMwCd9O4QPgcufcwm44dj6+ncF059ziaB9PpC9Q8hcREYkxKvYXERGJMUr+IiIiMUbJX0REJMYo+YuIiMQYJX8REZEYo+QvIiISY5T8RUREYsz/B29FCVC3sCQCAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "target.plot_source_spectra(title='Target Scene: Spectra')" ] }, { "cell_type": "markdown", "id": "79f7c144", "metadata": {}, "source": [ "## Modifying Scenes\n", "\n", "In some cases it will be necessary to modify the sources within a Scene after it is created. To aid this, there are a selection of functions that can be used the move sources spatially, or renormalise an individual sources spectrum." ] }, { "cell_type": "markdown", "id": "932404c5", "metadata": {}, "source": [ "### Spatial Adjustments\n", "\n", "All the sources within a given scene can be offset in x-y space, or rotated about a chosen center. Offsets should be specified in x, y distances in arcseconds, and rotations should be specified in degrees. A rotation direction can also be specified, but the default is to rotate counter-clockwise. " ] }, { "cell_type": "code", "execution_count": 7, "id": "1753ebfe", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "target.offset_scene(0.1, 0.0)\n", "target.rotate_scene(90, direction='counter_clockwise')\n", "target.plot_scene(title='Target Scene (Modified)')" ] }, { "cell_type": "markdown", "id": "a6e55cf2", "metadata": {}, "source": [ "### Spectral Adjustments\n", "\n", "An individual source within a scene can be renormalised base on input normalisation parameters if necessary. " ] }, { "cell_type": "code", "execution_count": 8, "id": "7f548e29", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "target.renormalise_source('HIP 65426b', norm_val=1e3, norm_unit='mJy', norm_bandpass='2mass_ks')\n", "target.plot_source_spectra(title='Target Scene: Spectra (Modified)')" ] }, { "cell_type": "markdown", "id": "2f57fe15", "metadata": {}, "source": [ "## Ancilliary Information\n", "\n", "### Compatible normalisation bandpasses:\n", "\n", "2mass_j, 2mass_h, 2mass_ks, wise_w1, wise_w2, wise_w3, wise_w4, bessel_j, bessel_h, bessel_k, cousins_r, cousins_i, johnson_u, johnson_b, johnson_v, johnson_r, johnson_i, johnson_j, johnson_k, f070w, f090w, f115w, f140m, f150w, f150w2, f162m, f164n, f182m, f187n, f200w, f210m, f210m_nd, f212n, f250m, f277w, f300m, f322w2, f323n, f335m, f335m_nd, f356w, f360m, f405n, f410m, f430m, f444w, f460m, f466n, f470n, f480m, wlp4, f1065c, f1140c, f1550c, f2300c, f560w, f770w, f1000w, f1130w, f1280w, f1500w, f1800w, f2100w, f2550w, fnd" ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:pcake]", "language": "python", "name": "conda-env-pcake-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.12" } }, "nbformat": 4, "nbformat_minor": 5 }