{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "db13eba1-53ef-4b8b-9282-9313fae6609d",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Basic FULMAR usage. Using K2-109 as an example\n",
    "This system contains two known exoplanets. For more information, have a look at [Barros et al. 2017](https://www.aanda.org/articles/aa/pdf/2017/12/aa31276-17.pdf)\n",
    "\n",
    "Let's start by importing common modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "85aac3ae-2279-4e3c-9a18-fdeb56a25bdf",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING (theano.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n"
     ]
    }
   ],
   "source": [
    "import fulmar\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import astropy.units as u\n",
    "from transitleastsquares import transit_mask"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4708b23a-d28f-478a-93a2-13293f6fa4bc",
   "metadata": {},
   "source": [
    "## Define target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ad7a98f8-b8f4-4f02-a3a2-338b554cc150",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: UnitsWarning: Unit 'Rsun' not supported by the VOUnit standard.  [astropy.units.format.vounit]\n",
      "WARNING: UnitsWarning: Unit 'Msun' not supported by the VOUnit standard.  [astropy.units.format.vounit]\n"
     ]
    }
   ],
   "source": [
    "lc_targ = fulmar.target('K2-109') # aka. HD 106315 "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0a91166-e52e-496c-af3c-13c2bb1eff03",
   "metadata": {},
   "source": [
    "### Update stellar parameters if necessary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2e24e35e-1712-48e8-8959-8d80d20d1953",
   "metadata": {},
   "outputs": [],
   "source": [
    "# K2-109 parameters from Barros et al. 2017 (https://www.aanda.org/articles/aa/pdf/2017/12/aa31276-17.pdf)\n",
    "lc_targ.R_star = 1.296\n",
    "lc_targ.R_star_max = 0.058\n",
    "lc_targ.R_star_min = 0.058\n",
    "\n",
    "lc_targ.M_star = 1.091\n",
    "lc_targ.M_star_max = 0.036\n",
    "lc_targ.M_star_min = 0.036"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10733fe0-20b7-4193-bad8-968835f7980a",
   "metadata": {},
   "source": [
    "## Build the lightcurve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0a6a507c-b870-4426-8ea1-02c9b0a80d09",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Searching for lightcurves\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning: 25% (851/3384) of the cadences will be ignored due to the quality mask (quality_bitmask=1130799).\n",
      "Warning: 25% (851/3384) of the cadences will be ignored due to the quality mask (quality_bitmask=1130799).\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['K2 Campaign 102']\n",
      "1 Lightcurves found\n",
      "Downloading Lightcurves\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><i>TimeSeries length=2533</i>\n",
       "<table id=\"table139895255489504\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>time</th><th>flux</th><th>flux_err</th><th>cadn</th><th>fraw</th><th>cadenceno</th><th>fraw_err</th><th>quality</th><th>fcor</th><th>cbv01</th><th>cbv02</th><th>cbv03</th><th>cbv04</th><th>cbv05</th><th>cbv06</th><th>exptime</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th></th><th></th><th>electron / s</th><th></th><th>electron / s</th><th></th><th>electron / s</th><th></th><th></th><th></th><th></th><th></th><th></th><th>s</th></tr></thead>\n",
       "<thead><tr><th>Time</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>int32</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th></tr></thead>\n",
       "<tr><td>2749.5899533941338</td><td>0.9919362273818925</td><td>nan</td><td>129231.0</td><td>3616934.469760895</td><td>129231.0</td><td>47.413345756122425</td><td>524288</td><td>3618895.8239213014</td><td>1.0</td><td>4.032601813062183</td><td>3.721325487340294</td><td>-0.6272998722503135</td><td>2.7580352239694506</td><td>0.9449693607767682</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6103854284593</td><td>0.9919057528017547</td><td>nan</td><td>129232.0</td><td>3616898.694656372</td><td>129232.0</td><td>47.4206060553783</td><td>0</td><td>3618797.79577493</td><td>1.0</td><td>4.036445303100602</td><td>3.709970058424757</td><td>-0.639482652969744</td><td>2.7337745018705517</td><td>0.9413711769034284</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6308173623256</td><td>0.9920318018415252</td><td>nan</td><td>129233.0</td><td>3617448.0032958984</td><td>129233.0</td><td>47.43482627636655</td><td>0</td><td>3619268.647123106</td><td>1.0</td><td>4.040263871939855</td><td>3.698637940508874</td><td>-0.6516019999249221</td><td>2.7095909556591535</td><td>0.9377823016121527</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6512491959584</td><td>0.9919802015869569</td><td>nan</td><td>129234.0</td><td>3617286.1815719604</td><td>129234.0</td><td>47.44625835297297</td><td>0</td><td>3619093.66213457</td><td>1.0</td><td>4.044057555765272</td><td>3.687329095681801</td><td>-0.6636580207756357</td><td>2.685484485807006</td><td>0.9342027182885964</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6716812293525</td><td>0.992301349055998</td><td>nan</td><td>129235.0</td><td>3618496.683452606</td><td>129235.0</td><td>47.469152065594365</td><td>0</td><td>3620273.5298203984</td><td>1.0</td><td>4.047826390762182</td><td>3.676043486032692</td><td>-0.6756508231816731</td><td>2.6614549927858597</td><td>0.930632410318415</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6921131622876</td><td>0.9923487483914822</td><td>nan</td><td>129236.0</td><td>3618750.0302505493</td><td>129236.0</td><td>47.48211093867445</td><td>0</td><td>3620458.2428743644</td><td>1.0</td><td>4.051570413115917</td><td>3.664781073650703</td><td>-0.6875805148028225</td><td>2.6375023770674657</td><td>0.9270713610872642</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.712544994756</td><td>0.9923954335698577</td><td>nan</td><td>129237.0</td><td>3618955.9937667847</td><td>129237.0</td><td>47.49448540389917</td><td>0</td><td>3620640.277803066</td><td>1.0</td><td>4.055289659011805</td><td>3.6535418206249886</td><td>-0.6994472032988717</td><td>2.613626539123574</td><td>0.9235195539807992</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.732977027219</td><td>0.9925266324082855</td><td>nan</td><td>129238.0</td><td>3619466.253112793</td><td>129238.0</td><td>47.507834395667736</td><td>0</td><td>3621129.43718082</td><td>1.0</td><td>4.058984164635178</td><td>3.642325689044705</td><td>-0.7112509963296089</td><td>2.589827379425935</td><td>0.9199769723846757</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.75340895899</td><td>0.9925245517214502</td><td>nan</td><td>129239.0</td><td>3619449.8608169556</td><td>129239.0</td><td>47.52051862733021</td><td>0</td><td>3621134.0445883283</td><td>1.0</td><td>4.062653966171363</td><td>3.6311326409990063</td><td>-0.7229920015548223</td><td>2.5661047984463004</td><td>0.916443599684549</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.77384079076</td><td>0.992604148341398</td><td>nan</td><td>129240.0</td><td>3619830.804801941</td><td>129240.0</td><td>47.54148128608888</td><td>0</td><td>3621435.4665627684</td><td>1.0</td><td>4.0662990998056925</td><td>3.6199626385770487</td><td>-0.7346703266342999</td><td>2.5424586966564195</td><td>0.9129194192660746</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.7942728220587</td><td>0.9925338870317024</td><td>nan</td><td>129241.0</td><td>3619638.970149994</td><td>129241.0</td><td>47.56157806813444</td><td>0</td><td>3621192.074435645</td><td>1.0</td><td>4.0699196017234955</td><td>3.6088156438679864</td><td>-0.7462860792278299</td><td>2.5188889745280436</td><td>0.909404414514908</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.8147047528983</td><td>0.9926073018860605</td><td>nan</td><td>129242.0</td><td>3620092.708744049</td><td>129242.0</td><td>47.5904070351304</td><td>0</td><td>3621470.8624807484</td><td>1.0</td><td>4.073515508110102</td><td>3.5976916189609756</td><td>-0.7578393669952004</td><td>2.4953955325329225</td><td>0.9058985688167047</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.835136583737</td><td>0.9926726508159865</td><td>nan</td><td>129243.0</td><td>3620588.7246055603</td><td>129243.0</td><td>47.61261592531867</td><td>4202496</td><td>3621720.249503433</td><td>1.0</td><td>4.077086855150842</td><td>3.5865905259451702</td><td>-0.7693302975961993</td><td>2.4719782711428078</td><td>0.9024018655571202</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.8555686138716</td><td>0.9928366016424158</td><td>nan</td><td>129244.0</td><td>3621590.49723053</td><td>129244.0</td><td>47.63446913691414</td><td>0</td><td>3622327.9723254293</td><td>1.0</td><td>4.080633679031045</td><td>3.5755123269097266</td><td>-0.780758978690615</td><td>2.448637090829449</td><td>0.89891428812181</td><td>1800.0</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>2818.404101452441</td><td>1.0005970765947736</td><td>nan</td><td>132599.0</td><td>3633293.7000579834</td><td>132599.0</td><td>47.82186261899401</td><td>0</td><td>3629823.601130887</td><td>1.0</td><td>-2.165105135304227</td><td>0.3430441145492126</td><td>3.4383054244120492</td><td>0.18877366699696385</td><td>3.5361133038974453</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.42453350703</td><td>1.0005313477783007</td><td>nan</td><td>132600.0</td><td>3633612.672267914</td><td>132600.0</td><td>47.82432371418381</td><td>0</td><td>3629576.2479759958</td><td>1.0</td><td>-2.1676468393414416</td><td>0.35742741915056153</td><td>3.476059368846186</td><td>0.1878292816114223</td><td>3.564769882023916</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.444965362083</td><td>1.0004984893450761</td><td>nan</td><td>132601.0</td><td>3633727.3173980713</td><td>132601.0</td><td>47.82989274571733</td><td>0</td><td>3629448.307331349</td><td>1.0</td><td>-2.170209975347164</td><td>0.3719028565778023</td><td>3.5139713582739436</td><td>0.18687824843660028</td><td>3.593565810923214</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.4653973173627</td><td>1.0005727916549771</td><td>nan</td><td>132602.0</td><td>3634014.084197998</td><td>132602.0</td><td>47.8402087450808</td><td>0</td><td>3629709.8239144934</td><td>1.0</td><td>-2.1727945928832346</td><td>0.3864706142277389</td><td>3.5520416674443522</td><td>0.18592055324433898</td><td>3.622501389120891</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.485829373116</td><td>1.000549754409066</td><td>nan</td><td>132603.0</td><td>3633582.8075580597</td><td>132603.0</td><td>47.849561180741254</td><td>0</td><td>3629617.440560636</td><td>1.0</td><td>-2.1754007415114867</td><td>0.4011308794971751</td><td>3.5902705711064433</td><td>0.18495618180647985</td><td>3.6515769151425177</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.5062612291003</td><td>1.0006123790751411</td><td>nan</td><td>132604.0</td><td>3633667.8337860107</td><td>132604.0</td><td>47.862669053550725</td><td>0</td><td>3629836.3660213975</td><td>1.0</td><td>-2.178028470793757</td><td>0.4158838397829151</td><td>3.6286583440092626</td><td>0.18398511989486274</td><td>3.6807926875136756</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.5266932855448</td><td>1.000732636547247</td><td>nan</td><td>132605.0</td><td>3633621.2506580353</td><td>132605.0</td><td>47.88206381294157</td><td>0</td><td>3630264.714549671</td><td>1.0</td><td>-2.180677830291881</td><td>0.4307296824817629</td><td>3.6672052609018317</td><td>0.18300735328132892</td><td>3.7101490047599226</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.5675570991443</td><td>1.0006485538181358</td><td>nan</td><td>132607.0</td><td>3633000.380264282</td><td>132607.0</td><td>47.92869043255829</td><td>0</td><td>3629941.2857178226</td><td>1.0</td><td>-2.1860416381830308</td><td>0.460700764705989</td><td>3.7447776256523984</td><td>0.18103164903587343</td><td>3.7692844679799906</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.587989156753</td><td>1.0005698599427024</td><td>nan</td><td>132608.0</td><td>3632872.1142292023</td><td>132608.0</td><td>47.89915853872955</td><td>0</td><td>3629646.2314486075</td><td>1.0</td><td>-2.1887561856997317</td><td>0.4758263790249837</td><td>3.7838036230084517</td><td>0.18003368294763394</td><td>3.799064211004942</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.608421114368</td><td>1.0006106855242058</td><td>nan</td><td>132609.0</td><td>3632842.7295036316</td><td>132609.0</td><td>47.85585436947139</td><td>0</td><td>3629785.557085446</td><td>1.0</td><td>-2.1914925616796306</td><td>0.4910456253443005</td><td>3.8229898633504096</td><td>0.1790289552448402</td><td>3.8289856930072714</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.6288530724487</td><td>1.0006010795024947</td><td>nan</td><td>132610.0</td><td>3632803.993894577</td><td>132610.0</td><td>47.8376854875877</td><td>0</td><td>3629741.491678547</td><td>1.0</td><td>-2.1942508156845624</td><td>0.5063586910607467</td><td>3.8623366214273016</td><td>0.1780174516993333</td><td>3.8590492125125495</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.649285030988</td><td>1.0007452818397116</td><td>nan</td><td>132611.0</td><td>3633366.8895816803</td><td>132611.0</td><td>47.833337824186906</td><td>0</td><td>3630256.445741738</td><td>1.0</td><td>-2.1970309972763635</td><td>0.5217657635711228</td><td>3.901844171988155</td><td>0.17699915808295472</td><td>3.8892550680463343</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.669716989767</td><td>1.0006993653052811</td><td>nan</td><td>132612.0</td><td>3633311.242116928</td><td>132612.0</td><td>47.82951294055048</td><td>0</td><td>3630080.2462951913</td><td>1.0</td><td>-2.1998331560168713</td><td>0.5372670302722362</td><td>3.9415127897820197</td><td>0.17597406016754435</td><td>3.9196035581342104</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.690148948779</td><td>1.0005968151050437</td><td>nan</td><td>132613.0</td><td>3633454.115245819</td><td>132613.0</td><td>47.827956983168555</td><td>0</td><td>3629698.1108623846</td><td>1.0</td><td>-2.2026573414679183</td><td>0.5528626785608874</td><td>3.9813427495579212</td><td>0.1749421437249436</td><td>3.9500949813017323</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.7105809082495</td><td>1.0005499870390169</td><td>nan</td><td>132614.0</td><td>3633572.709289551</td><td>132614.0</td><td>47.82878398536017</td><td>524288</td><td>3629518.451740521</td><td>1.0</td><td>-2.2055036031913446</td><td>0.5685528958338841</td><td>4.021334326064893</td><td>0.1739033945269926</td><td>3.980729636074492</td><td>1800.0</td></tr>\n",
       "</table></div>"
      ],
      "text/plain": [
       "<TimeSeries length=2533>\n",
       "       time               flux        flux_err ...        cbv05              cbv06        exptime\n",
       "                                               ...                                           s   \n",
       "       Time             float64       float64  ...       float64            float64       float64\n",
       "------------------ ------------------ -------- ... ------------------- ------------------ -------\n",
       "2749.5899533941338 0.9919362273818925      nan ...  2.7580352239694506 0.9449693607767682  1800.0\n",
       "2749.6103854284593 0.9919057528017547      nan ...  2.7337745018705517 0.9413711769034284  1800.0\n",
       "2749.6308173623256 0.9920318018415252      nan ...  2.7095909556591535 0.9377823016121527  1800.0\n",
       "2749.6512491959584 0.9919802015869569      nan ...   2.685484485807006 0.9342027182885964  1800.0\n",
       "2749.6716812293525  0.992301349055998      nan ...  2.6614549927858597  0.930632410318415  1800.0\n",
       "2749.6921131622876 0.9923487483914822      nan ...  2.6375023770674657 0.9270713610872642  1800.0\n",
       " 2749.712544994756 0.9923954335698577      nan ...   2.613626539123574 0.9235195539807992  1800.0\n",
       " 2749.732977027219 0.9925266324082855      nan ...   2.589827379425935 0.9199769723846757  1800.0\n",
       "  2749.75340895899 0.9925245517214502      nan ...  2.5661047984463004  0.916443599684549  1800.0\n",
       "  2749.77384079076  0.992604148341398      nan ...  2.5424586966564195 0.9129194192660746  1800.0\n",
       "2749.7942728220587 0.9925338870317024      nan ...  2.5188889745280436  0.909404414514908  1800.0\n",
       "2749.8147047528983 0.9926073018860605      nan ...  2.4953955325329225 0.9058985688167047  1800.0\n",
       " 2749.835136583737 0.9926726508159865      nan ...  2.4719782711428078 0.9024018655571202  1800.0\n",
       "2749.8555686138716 0.9928366016424158      nan ...   2.448637090829449   0.89891428812181  1800.0\n",
       "               ...                ...      ... ...                 ...                ...     ...\n",
       " 2818.404101452441 1.0005970765947736      nan ... 0.18877366699696385 3.5361133038974453  1800.0\n",
       "  2818.42453350703 1.0005313477783007      nan ...  0.1878292816114223  3.564769882023916  1800.0\n",
       " 2818.444965362083 1.0004984893450761      nan ... 0.18687824843660028  3.593565810923214  1800.0\n",
       "2818.4653973173627 1.0005727916549771      nan ... 0.18592055324433898  3.622501389120891  1800.0\n",
       " 2818.485829373116  1.000549754409066      nan ... 0.18495618180647985 3.6515769151425177  1800.0\n",
       "2818.5062612291003 1.0006123790751411      nan ... 0.18398511989486274 3.6807926875136756  1800.0\n",
       "2818.5266932855448  1.000732636547247      nan ... 0.18300735328132892 3.7101490047599226  1800.0\n",
       "2818.5675570991443 1.0006485538181358      nan ... 0.18103164903587343 3.7692844679799906  1800.0\n",
       " 2818.587989156753 1.0005698599427024      nan ... 0.18003368294763394  3.799064211004942  1800.0\n",
       " 2818.608421114368 1.0006106855242058      nan ...  0.1790289552448402 3.8289856930072714  1800.0\n",
       "2818.6288530724487 1.0006010795024947      nan ...  0.1780174516993333 3.8590492125125495  1800.0\n",
       " 2818.649285030988 1.0007452818397116      nan ... 0.17699915808295472 3.8892550680463343  1800.0\n",
       " 2818.669716989767 1.0006993653052811      nan ... 0.17597406016754435 3.9196035581342104  1800.0\n",
       " 2818.690148948779 1.0005968151050437      nan ...  0.1749421437249436 3.9500949813017323  1800.0\n",
       "2818.7105809082495 1.0005499870390169      nan ...  0.1739033945269926  3.980729636074492  1800.0"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lc_targ.build_lightcurve(author='EVEREST')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf1b1eb9-ebec-43fa-8afe-983d945012cd",
   "metadata": {},
   "source": [
    "### Alternatively, build the lightcurve from files, for example data reduced with POLAR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b65fe039-9797-435d-a3b4-6adab4a41b40",
   "metadata": {},
   "outputs": [],
   "source": [
    "filelist = [your_files_here]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4cf126cf-a91f-4d76-8abd-425b827e656c",
   "metadata": {},
   "outputs": [],
   "source": [
    "lc_targ.build_lightcurve(filelist=filelist, author='AUTHOR')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55da13ce-ba42-46fb-a355-408955f60dfc",
   "metadata": {},
   "source": [
    "### Plot the light curve for a quick visualisation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ea1bd394-c2b9-4d47-8c66-e9a90e6d0623",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(lc_targ.ts_stitch.time.value, lc_targ.ts_stitch['flux'],'k.', markersize=1.8, alpha = 0.25)\n",
    "\n",
    "plt.xlabel('Time [{}]'.format(str(lc_targ.ts_stitch.time.format).upper()))\n",
    "plt.ylabel('Flux')\n",
    "plt.title(lc_targ.K2 + ' Lightcurve')\n",
    "# plt.xlim(2350,2356)\n",
    "# plt.ylim(0.9985,1.0015)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9cdb8bd6-6f37-4247-a0e2-5751451b74b2",
   "metadata": {},
   "source": [
    "### Mask Outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "96ed80da-911f-4477-a732-51b9ec89a135",
   "metadata": {},
   "outputs": [],
   "source": [
    "m1 = lc_targ.mask_outliers(sigma=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "048e35d0-3c49-4f2b-bf0a-d763f1193873",
   "metadata": {},
   "source": [
    "#### Plot the light curve with outliers highlighted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "78949c7a-36a2-4c6c-b5a8-8297d7916d5e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(lc_targ.ts_stitch.time.value, lc_targ.ts_stitch['flux'],'k.', markersize=1.8, alpha = 0.25)\n",
    "plt.plot(lc_targ.ts_stitch.time.value[~m1], lc_targ.ts_stitch['flux'][~m1],'o', color='xkcd:orange', markersize=8, alpha = 0.5)\n",
    "\n",
    "plt.xlabel('Time [{}]'.format(str(lc_targ.ts_stitch.time.format).upper()))\n",
    "plt.ylabel('Flux')\n",
    "# plt.xlim(2350,2356)\n",
    "# plt.ylim(0.985,1.015)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d81ee08d-6aef-40f8-9f15-bd628309a559",
   "metadata": {},
   "source": [
    "#### Remove the outliers if necessary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3b379459-ff6d-48b2-9531-7c421ef639eb",
   "metadata": {},
   "outputs": [],
   "source": [
    "lc_targ.ts_stitch = lc_targ.ts_stitch[m1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "afcb2ef2-6453-4751-8501-90821b012275",
   "metadata": {},
   "source": [
    "## Clean the light curve / correct activity"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3aa6130-2fc6-4a6a-b9c8-50ead5a8210d",
   "metadata": {},
   "source": [
    "### Using a Savistzky-Golay filter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "47d30a8d-ce76-40ce-aba8-0172ba3ee203",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><i>TimeSeries length=2476</i>\n",
       "<table id=\"table139895250128704\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>time</th><th>flux</th><th>flux_err</th><th>cadn</th><th>fraw</th><th>cadenceno</th><th>fraw_err</th><th>quality</th><th>fcor</th><th>cbv01</th><th>cbv02</th><th>cbv03</th><th>cbv04</th><th>cbv05</th><th>cbv06</th><th>exptime</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th></th><th></th><th>electron / s</th><th></th><th>electron / s</th><th></th><th>electron / s</th><th></th><th></th><th></th><th></th><th></th><th></th><th>s</th></tr></thead>\n",
       "<thead><tr><th>Time</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>int32</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th></tr></thead>\n",
       "<tr><td>2749.5899533941338</td><td>0.9974494072046971</td><td>nan</td><td>129231.0</td><td>3616934.469760895</td><td>129231.0</td><td>47.413345756122425</td><td>524288</td><td>3618895.8239213014</td><td>1.0</td><td>4.032601813062183</td><td>3.721325487340294</td><td>-0.6272998722503135</td><td>2.7580352239694506</td><td>0.9449693607767682</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6103854284593</td><td>0.9974552745389408</td><td>nan</td><td>129232.0</td><td>3616898.694656372</td><td>129232.0</td><td>47.4206060553783</td><td>0</td><td>3618797.79577493</td><td>1.0</td><td>4.036445303100602</td><td>3.709970058424757</td><td>-0.639482652969744</td><td>2.7337745018705517</td><td>0.9413711769034284</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6308173623256</td><td>0.9976185472245636</td><td>nan</td><td>129233.0</td><td>3617448.0032958984</td><td>129233.0</td><td>47.43482627636655</td><td>0</td><td>3619268.647123106</td><td>1.0</td><td>4.040263871939855</td><td>3.698637940508874</td><td>-0.6516019999249221</td><td>2.7095909556591535</td><td>0.9377823016121527</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6512491959584</td><td>0.997603175397708</td><td>nan</td><td>129234.0</td><td>3617286.1815719604</td><td>129234.0</td><td>47.44625835297297</td><td>0</td><td>3619093.66213457</td><td>1.0</td><td>4.044057555765272</td><td>3.687329095681801</td><td>-0.6636580207756357</td><td>2.685484485807006</td><td>0.9342027182885964</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6716812293525</td><td>0.9979626771452772</td><td>nan</td><td>129235.0</td><td>3618496.683452606</td><td>129235.0</td><td>47.469152065594365</td><td>0</td><td>3620273.5298203984</td><td>1.0</td><td>4.047826390762182</td><td>3.676043486032692</td><td>-0.6756508231816731</td><td>2.6614549927858597</td><td>0.930632410318415</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6921131622876</td><td>0.9980468850219955</td><td>nan</td><td>129236.0</td><td>3618750.0302505493</td><td>129236.0</td><td>47.48211093867445</td><td>0</td><td>3620458.2428743644</td><td>1.0</td><td>4.051570413115917</td><td>3.664781073650703</td><td>-0.6875805148028225</td><td>2.6375023770674657</td><td>0.9270713610872642</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.712544994756</td><td>0.9981303806009645</td><td>nan</td><td>129237.0</td><td>3618955.9937667847</td><td>129237.0</td><td>47.49448540389917</td><td>0</td><td>3620640.277803066</td><td>1.0</td><td>4.055289659011805</td><td>3.6535418206249886</td><td>-0.6994472032988717</td><td>2.613626539123574</td><td>0.9235195539807992</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.732977027219</td><td>0.9982988878195049</td><td>nan</td><td>129238.0</td><td>3619466.253112793</td><td>129238.0</td><td>47.507834395667736</td><td>0</td><td>3621129.43718082</td><td>1.0</td><td>4.058984164635178</td><td>3.642325689044705</td><td>-0.7112509963296089</td><td>2.589827379425935</td><td>0.9199769723846757</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.75340895899</td><td>0.9983333476478541</td><td>nan</td><td>129239.0</td><td>3619449.8608169556</td><td>129239.0</td><td>47.52051862733021</td><td>0</td><td>3621134.0445883283</td><td>1.0</td><td>4.062653966171363</td><td>3.6311326409990063</td><td>-0.7229920015548223</td><td>2.5661047984463004</td><td>0.916443599684549</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.77384079076</td><td>0.9984499681560839</td><td>nan</td><td>129240.0</td><td>3619830.804801941</td><td>129240.0</td><td>47.54148128608888</td><td>0</td><td>3621435.4665627684</td><td>1.0</td><td>4.0662990998056925</td><td>3.6199626385770487</td><td>-0.7346703266342999</td><td>2.5424586966564195</td><td>0.9129194192660746</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.7942728220587</td><td>0.9984158515428457</td><td>nan</td><td>129241.0</td><td>3619638.970149994</td><td>129241.0</td><td>47.56157806813444</td><td>0</td><td>3621192.074435645</td><td>1.0</td><td>4.0699196017234955</td><td>3.6088156438679864</td><td>-0.7462860792278299</td><td>2.5188889745280436</td><td>0.909404414514908</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.8147047528983</td><td>0.9985262651628759</td><td>nan</td><td>129242.0</td><td>3620092.708744049</td><td>129242.0</td><td>47.5904070351304</td><td>0</td><td>3621470.8624807484</td><td>1.0</td><td>4.073515508110102</td><td>3.5976916189609756</td><td>-0.7578393669952004</td><td>2.4953955325329225</td><td>0.9058985688167047</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.835136583737</td><td>0.9986285723716373</td><td>nan</td><td>129243.0</td><td>3620588.7246055603</td><td>129243.0</td><td>47.61261592531867</td><td>4202496</td><td>3621720.249503433</td><td>1.0</td><td>4.077086855150842</td><td>3.5865905259451702</td><td>-0.7693302975961993</td><td>2.4719782711428078</td><td>0.9024018655571202</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.8555686138716</td><td>0.9988300845596197</td><td>nan</td><td>129244.0</td><td>3621590.49723053</td><td>129244.0</td><td>47.63446913691414</td><td>0</td><td>3622327.9723254293</td><td>1.0</td><td>4.080633679031045</td><td>3.5755123269097266</td><td>-0.780758978690615</td><td>2.448637090829449</td><td>0.89891428812181</td><td>1800.0</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>2818.404101452441</td><td>0.9999724442966103</td><td>nan</td><td>132599.0</td><td>3633293.7000579834</td><td>132599.0</td><td>47.82186261899401</td><td>0</td><td>3629823.601130887</td><td>1.0</td><td>-2.165105135304227</td><td>0.3430441145492126</td><td>3.4383054244120492</td><td>0.18877366699696385</td><td>3.5361133038974453</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.42453350703</td><td>0.9999040570091818</td><td>nan</td><td>132600.0</td><td>3633612.672267914</td><td>132600.0</td><td>47.82432371418381</td><td>0</td><td>3629576.2479759958</td><td>1.0</td><td>-2.1676468393414416</td><td>0.35742741915056153</td><td>3.476059368846186</td><td>0.1878292816114223</td><td>3.564769882023916</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.444965362083</td><td>0.9998691434778788</td><td>nan</td><td>132601.0</td><td>3633727.3173980713</td><td>132601.0</td><td>47.82989274571733</td><td>0</td><td>3629448.307331349</td><td>1.0</td><td>-2.170209975347164</td><td>0.3719028565778023</td><td>3.5139713582739436</td><td>0.18687824843660028</td><td>3.593565810923214</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.4653973173627</td><td>0.999941946949921</td><td>nan</td><td>132602.0</td><td>3634014.084197998</td><td>132602.0</td><td>47.8402087450808</td><td>0</td><td>3629709.8239144934</td><td>1.0</td><td>-2.1727945928832346</td><td>0.3864706142277389</td><td>3.5520416674443522</td><td>0.18592055324433898</td><td>3.622501389120891</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.485829373116</td><td>0.9999180958967169</td><td>nan</td><td>132603.0</td><td>3633582.8075580597</td><td>132603.0</td><td>47.849561180741254</td><td>0</td><td>3629617.440560636</td><td>1.0</td><td>-2.1754007415114867</td><td>0.4011308794971751</td><td>3.5902705711064433</td><td>0.18495618180647985</td><td>3.6515769151425177</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.5062612291003</td><td>0.9999804764132937</td><td>nan</td><td>132604.0</td><td>3633667.8337860107</td><td>132604.0</td><td>47.862669053550725</td><td>0</td><td>3629836.3660213975</td><td>1.0</td><td>-2.178028470793757</td><td>0.4158838397829151</td><td>3.6286583440092626</td><td>0.18398511989486274</td><td>3.6807926875136756</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.5266932855448</td><td>1.0001010771465841</td><td>nan</td><td>132605.0</td><td>3633621.2506580353</td><td>132605.0</td><td>47.88206381294157</td><td>0</td><td>3630264.714549671</td><td>1.0</td><td>-2.180677830291881</td><td>0.4307296824817629</td><td>3.6672052609018317</td><td>0.18300735328132892</td><td>3.7101490047599226</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.5675570991443</td><td>1.0000180904455735</td><td>nan</td><td>132607.0</td><td>3633000.380264282</td><td>132607.0</td><td>47.92869043255829</td><td>0</td><td>3629941.2857178226</td><td>1.0</td><td>-2.1860416381830308</td><td>0.460700764705989</td><td>3.7447776256523984</td><td>0.18103164903587343</td><td>3.7692844679799906</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.587989156753</td><td>0.9999411127814223</td><td>nan</td><td>132608.0</td><td>3632872.1142292023</td><td>132608.0</td><td>47.89915853872955</td><td>0</td><td>3629646.2314486075</td><td>1.0</td><td>-2.1887561856997317</td><td>0.4758263790249837</td><td>3.7838036230084517</td><td>0.18003368294763394</td><td>3.799064211004942</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.608421114368</td><td>0.9999842031862137</td><td>nan</td><td>132609.0</td><td>3632842.7295036316</td><td>132609.0</td><td>47.85585436947139</td><td>0</td><td>3629785.557085446</td><td>1.0</td><td>-2.1914925616796306</td><td>0.4910456253443005</td><td>3.8229898633504096</td><td>0.1790289552448402</td><td>3.8289856930072714</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.6288530724487</td><td>0.9999775174168674</td><td>nan</td><td>132610.0</td><td>3632803.993894577</td><td>132610.0</td><td>47.8376854875877</td><td>0</td><td>3629741.491678547</td><td>1.0</td><td>-2.1942508156845624</td><td>0.5063586910607467</td><td>3.8623366214273016</td><td>0.1780174516993333</td><td>3.8590492125125495</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.649285030988</td><td>1.0001251684302048</td><td>nan</td><td>132611.0</td><td>3633366.8895816803</td><td>132611.0</td><td>47.833337824186906</td><td>0</td><td>3630256.445741738</td><td>1.0</td><td>-2.1970309972763635</td><td>0.5217657635711228</td><td>3.901844171988155</td><td>0.17699915808295472</td><td>3.8892550680463343</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.669716989767</td><td>1.0000834425946967</td><td>nan</td><td>132612.0</td><td>3633311.242116928</td><td>132612.0</td><td>47.82951294055048</td><td>0</td><td>3630080.2462951913</td><td>1.0</td><td>-2.1998331560168713</td><td>0.5372670302722362</td><td>3.9415127897820197</td><td>0.17597406016754435</td><td>3.9196035581342104</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.690148948779</td><td>0.999985741152896</td><td>nan</td><td>132613.0</td><td>3633454.115245819</td><td>132613.0</td><td>47.827956983168555</td><td>0</td><td>3629698.1108623846</td><td>1.0</td><td>-2.2026573414679183</td><td>0.5528626785608874</td><td>3.9813427495579212</td><td>0.1749421437249436</td><td>3.9500949813017323</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.7105809082495</td><td>0.9999443509089974</td><td>nan</td><td>132614.0</td><td>3633572.709289551</td><td>132614.0</td><td>47.82878398536017</td><td>524288</td><td>3629518.451740521</td><td>1.0</td><td>-2.2055036031913446</td><td>0.5685528958338841</td><td>4.021334326064893</td><td>0.1739033945269926</td><td>3.980729636074492</td><td>1800.0</td></tr>\n",
       "</table></div>"
      ],
      "text/plain": [
       "<TimeSeries length=2476>\n",
       "       time               flux        flux_err ...        cbv05              cbv06        exptime\n",
       "                                               ...                                           s   \n",
       "       Time             float64       float64  ...       float64            float64       float64\n",
       "------------------ ------------------ -------- ... ------------------- ------------------ -------\n",
       "2749.5899533941338 0.9974494072046971      nan ...  2.7580352239694506 0.9449693607767682  1800.0\n",
       "2749.6103854284593 0.9974552745389408      nan ...  2.7337745018705517 0.9413711769034284  1800.0\n",
       "2749.6308173623256 0.9976185472245636      nan ...  2.7095909556591535 0.9377823016121527  1800.0\n",
       "2749.6512491959584  0.997603175397708      nan ...   2.685484485807006 0.9342027182885964  1800.0\n",
       "2749.6716812293525 0.9979626771452772      nan ...  2.6614549927858597  0.930632410318415  1800.0\n",
       "2749.6921131622876 0.9980468850219955      nan ...  2.6375023770674657 0.9270713610872642  1800.0\n",
       " 2749.712544994756 0.9981303806009645      nan ...   2.613626539123574 0.9235195539807992  1800.0\n",
       " 2749.732977027219 0.9982988878195049      nan ...   2.589827379425935 0.9199769723846757  1800.0\n",
       "  2749.75340895899 0.9983333476478541      nan ...  2.5661047984463004  0.916443599684549  1800.0\n",
       "  2749.77384079076 0.9984499681560839      nan ...  2.5424586966564195 0.9129194192660746  1800.0\n",
       "2749.7942728220587 0.9984158515428457      nan ...  2.5188889745280436  0.909404414514908  1800.0\n",
       "2749.8147047528983 0.9985262651628759      nan ...  2.4953955325329225 0.9058985688167047  1800.0\n",
       " 2749.835136583737 0.9986285723716373      nan ...  2.4719782711428078 0.9024018655571202  1800.0\n",
       "2749.8555686138716 0.9988300845596197      nan ...   2.448637090829449   0.89891428812181  1800.0\n",
       "               ...                ...      ... ...                 ...                ...     ...\n",
       " 2818.404101452441 0.9999724442966103      nan ... 0.18877366699696385 3.5361133038974453  1800.0\n",
       "  2818.42453350703 0.9999040570091818      nan ...  0.1878292816114223  3.564769882023916  1800.0\n",
       " 2818.444965362083 0.9998691434778788      nan ... 0.18687824843660028  3.593565810923214  1800.0\n",
       "2818.4653973173627  0.999941946949921      nan ... 0.18592055324433898  3.622501389120891  1800.0\n",
       " 2818.485829373116 0.9999180958967169      nan ... 0.18495618180647985 3.6515769151425177  1800.0\n",
       "2818.5062612291003 0.9999804764132937      nan ... 0.18398511989486274 3.6807926875136756  1800.0\n",
       "2818.5266932855448 1.0001010771465841      nan ... 0.18300735328132892 3.7101490047599226  1800.0\n",
       "2818.5675570991443 1.0000180904455735      nan ... 0.18103164903587343 3.7692844679799906  1800.0\n",
       " 2818.587989156753 0.9999411127814223      nan ... 0.18003368294763394  3.799064211004942  1800.0\n",
       " 2818.608421114368 0.9999842031862137      nan ...  0.1790289552448402 3.8289856930072714  1800.0\n",
       "2818.6288530724487 0.9999775174168674      nan ...  0.1780174516993333 3.8590492125125495  1800.0\n",
       " 2818.649285030988 1.0001251684302048      nan ... 0.17699915808295472 3.8892550680463343  1800.0\n",
       " 2818.669716989767 1.0000834425946967      nan ... 0.17597406016754435 3.9196035581342104  1800.0\n",
       " 2818.690148948779  0.999985741152896      nan ...  0.1749421437249436 3.9500949813017323  1800.0\n",
       "2818.7105809082495 0.9999443509089974      nan ...  0.1739033945269926  3.980729636074492  1800.0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lc_targ.clean_subt_activity_flatten(sigma=3,\n",
    "        wl=37,\n",
    "        time_window=18*u.h,\n",
    "        polyorder=2,\n",
    "        return_trend=False,\n",
    "        remove_outliers=True,\n",
    "        break_tolerance=5,\n",
    "        niters=3,\n",
    "        mask=None)\n",
    "\n",
    "# You might face issues with Astropy >= 5.0 where flatten gives TypeError: \"cannot write to unmasked output\"\n",
    "# The issue comes from Lightkurve and a pull request has been made: https://github.com/lightkurve/lightkurve/pull/1162/commits/05034f4bbd8e6a40f8efd9cfa1f108a36ddc0872"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7b60452-92c4-4d78-adf0-98ea1bf62bb9",
   "metadata": {},
   "source": [
    "### Alternatively, using GP: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8729e532-916b-4478-a9e9-6a94ea4a6b0c",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " /home/jrodrigues/fulmar_venv/lib64/python3.9/site-packages/astropy/timeseries/downsample.py:28: RuntimeWarning: Mean of empty slice /home/jrodrigues/fulmar_venv/lib64/python3.9/site-packages/astropy/timeseries/downsample.py:26: RuntimeWarning: Mean of empty slice /home/jrodrigues/fulmar_venv/lib64/python3.9/site-packages/astropy/timeseries/downsample.py:29: RuntimeWarning: Mean of empty slice"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "guessed period is 24.03185320009876 days\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "optimizing logp for variables: [f, log_dQ, log_Q0, log_period, sigma_rot, rho, sigma, log_jitter, mean]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "        <style>\n",
       "            /* Turns off some styling */\n",
       "            progress {\n",
       "                /* gets rid of default border in Firefox and Opera. */\n",
       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "                background-size: auto;\n",
       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "                background: #F44336;\n",
       "            }\n",
       "        </style>\n",
       "      <progress value='36' class='' max='36' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [36/36 00:00<00:00 logp = -2.258e+03]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
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     "output_type": "display_data"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "message: Optimization terminated successfully.\n",
      "logp: -2793.754777544708 -> -2258.111803771446\n",
      "Multiprocess sampling (2 chains in 8 jobs)\n",
      "NUTS: [f, log_dQ, log_Q0, log_period, sigma_rot, rho, sigma, log_jitter, mean]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "        <style>\n",
       "            /* Turns off some styling */\n",
       "            progress {\n",
       "                /* gets rid of default border in Firefox and Opera. */\n",
       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "                background-size: auto;\n",
       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "                background: #F44336;\n",
       "            }\n",
       "        </style>\n",
       "      <progress value='10000' class='' max='10000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [10000/10000 01:57<00:00 Sampling 2 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
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     "output_type": "display_data"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 2 chains for 2_500 tune and 2_500 draw iterations (5_000 + 5_000 draws total) took 118 seconds.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><i>TimeSeries length=2480</i>\n",
       "<table id=\"table139839289705616\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>time</th><th>flux</th><th>flux_err</th><th>cadn</th><th>fraw</th><th>cadenceno</th><th>fraw_err</th><th>quality</th><th>fcor</th><th>cbv01</th><th>cbv02</th><th>cbv03</th><th>cbv04</th><th>cbv05</th><th>cbv06</th><th>exptime</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th></th><th></th><th>electron / s</th><th></th><th>electron / s</th><th></th><th>electron / s</th><th></th><th></th><th></th><th></th><th></th><th></th><th>s</th></tr></thead>\n",
       "<thead><tr><th>object</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>int32</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th></tr></thead>\n",
       "<tr><td>2749.5899533941338</td><td>0.998349433848371</td><td>nan</td><td>129231.0</td><td>3616934.469760895</td><td>129231.0</td><td>47.413345756122425</td><td>524288</td><td>3618895.8239213014</td><td>1.0</td><td>4.032601813062183</td><td>3.721325487340294</td><td>-0.6272998722503135</td><td>2.7580352239694506</td><td>0.9449693607767682</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6103854284593</td><td>0.9983187622396653</td><td>nan</td><td>129232.0</td><td>3616898.694656372</td><td>129232.0</td><td>47.4206060553783</td><td>0</td><td>3618797.79577493</td><td>1.0</td><td>4.036445303100602</td><td>3.709970058424757</td><td>-0.639482652969744</td><td>2.7337745018705517</td><td>0.9413711769034284</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6308173623256</td><td>0.9984457325683745</td><td>nan</td><td>129233.0</td><td>3617448.0032958984</td><td>129233.0</td><td>47.43482627636655</td><td>0</td><td>3619268.647123106</td><td>1.0</td><td>4.040263871939855</td><td>3.698637940508874</td><td>-0.6516019999249221</td><td>2.7095909556591535</td><td>0.9377823016121527</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6512491959584</td><td>0.9983939071581265</td><td>nan</td><td>129234.0</td><td>3617286.1815719604</td><td>129234.0</td><td>47.44625835297297</td><td>0</td><td>3619093.66213457</td><td>1.0</td><td>4.044057555765272</td><td>3.687329095681801</td><td>-0.6636580207756357</td><td>2.685484485807006</td><td>0.9342027182885964</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6716812293525</td><td>0.9987166345406551</td><td>nan</td><td>129235.0</td><td>3618496.683452606</td><td>129235.0</td><td>47.469152065594365</td><td>0</td><td>3620273.5298203984</td><td>1.0</td><td>4.047826390762182</td><td>3.676043486032692</td><td>-0.6756508231816731</td><td>2.6614549927858597</td><td>0.930632410318415</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.6921131622876</td><td>0.9987638059203047</td><td>nan</td><td>129236.0</td><td>3618750.0302505493</td><td>129236.0</td><td>47.48211093867445</td><td>0</td><td>3620458.2428743644</td><td>1.0</td><td>4.051570413115917</td><td>3.664781073650703</td><td>-0.6875805148028225</td><td>2.6375023770674657</td><td>0.9270713610872642</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.712544994756</td><td>0.998809794888955</td><td>nan</td><td>129237.0</td><td>3618955.9937667847</td><td>129237.0</td><td>47.49448540389917</td><td>0</td><td>3620640.277803066</td><td>1.0</td><td>4.055289659011805</td><td>3.6535418206249886</td><td>-0.6994472032988717</td><td>2.613626539123574</td><td>0.9235195539807992</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.732977027219</td><td>0.9989407930835639</td><td>nan</td><td>129238.0</td><td>3619466.253112793</td><td>129238.0</td><td>47.507834395667736</td><td>0</td><td>3621129.43718082</td><td>1.0</td><td>4.058984164635178</td><td>3.642325689044705</td><td>-0.7112509963296089</td><td>2.589827379425935</td><td>0.9199769723846757</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.75340895899</td><td>0.9989372786791572</td><td>nan</td><td>129239.0</td><td>3619449.8608169556</td><td>129239.0</td><td>47.52051862733021</td><td>0</td><td>3621134.0445883283</td><td>1.0</td><td>4.062653966171363</td><td>3.6311326409990063</td><td>-0.7229920015548223</td><td>2.5661047984463004</td><td>0.916443599684549</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.77384079076</td><td>0.9990159099433658</td><td>nan</td><td>129240.0</td><td>3619830.804801941</td><td>129240.0</td><td>47.54148128608888</td><td>0</td><td>3621435.4665627684</td><td>1.0</td><td>4.0662990998056925</td><td>3.6199626385770487</td><td>-0.7346703266342999</td><td>2.5424586966564195</td><td>0.9129194192660746</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.7942728220587</td><td>0.998943158158829</td><td>nan</td><td>129241.0</td><td>3619638.970149994</td><td>129241.0</td><td>47.56157806813444</td><td>0</td><td>3621192.074435645</td><td>1.0</td><td>4.0699196017234955</td><td>3.6088156438679864</td><td>-0.7462860792278299</td><td>2.5188889745280436</td><td>0.909404414514908</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.8147047528983</td><td>0.9990148906745702</td><td>nan</td><td>129242.0</td><td>3620092.708744049</td><td>129242.0</td><td>47.5904070351304</td><td>0</td><td>3621470.8624807484</td><td>1.0</td><td>4.073515508110102</td><td>3.5976916189609756</td><td>-0.7578393669952004</td><td>2.4953955325329225</td><td>0.9058985688167047</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.835136583737</td><td>0.9990779456926332</td><td>nan</td><td>129243.0</td><td>3620588.7246055603</td><td>129243.0</td><td>47.61261592531867</td><td>4202496</td><td>3621720.249503433</td><td>1.0</td><td>4.077086855150842</td><td>3.5865905259451702</td><td>-0.7693302975961993</td><td>2.4719782711428078</td><td>0.9024018655571202</td><td>1800.0</td></tr>\n",
       "<tr><td>2749.8555686138716</td><td>0.9992400840159591</td><td>nan</td><td>129244.0</td><td>3621590.49723053</td><td>129244.0</td><td>47.63446913691414</td><td>0</td><td>3622327.9723254293</td><td>1.0</td><td>4.080633679031045</td><td>3.5755123269097266</td><td>-0.780758978690615</td><td>2.448637090829449</td><td>0.89891428812181</td><td>1800.0</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>2818.404101452441</td><td>0.9997083659963285</td><td>nan</td><td>132599.0</td><td>3633293.7000579834</td><td>132599.0</td><td>47.82186261899401</td><td>0</td><td>3629823.601130887</td><td>1.0</td><td>-2.165105135304227</td><td>0.3430441145492126</td><td>3.4383054244120492</td><td>0.18877366699696385</td><td>3.5361133038974453</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.42453350703</td><td>0.9996423445755372</td><td>nan</td><td>132600.0</td><td>3633612.672267914</td><td>132600.0</td><td>47.82432371418381</td><td>0</td><td>3629576.2479759958</td><td>1.0</td><td>-2.1676468393414416</td><td>0.35742741915056153</td><td>3.476059368846186</td><td>0.1878292816114223</td><td>3.564769882023916</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.444965362083</td><td>0.9996091702784011</td><td>nan</td><td>132601.0</td><td>3633727.3173980713</td><td>132601.0</td><td>47.82989274571733</td><td>0</td><td>3629448.307331349</td><td>1.0</td><td>-2.170209975347164</td><td>0.3719028565778023</td><td>3.5139713582739436</td><td>0.18687824843660028</td><td>3.593565810923214</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.4653973173627</td><td>0.9996831983733262</td><td>nan</td><td>132602.0</td><td>3634014.084197998</td><td>132602.0</td><td>47.8402087450808</td><td>0</td><td>3629709.8239144934</td><td>1.0</td><td>-2.1727945928832346</td><td>0.3864706142277389</td><td>3.5520416674443522</td><td>0.18592055324433898</td><td>3.622501389120891</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.485829373116</td><td>0.9996599733968752</td><td>nan</td><td>132603.0</td><td>3633582.8075580597</td><td>132603.0</td><td>47.849561180741254</td><td>0</td><td>3629617.440560636</td><td>1.0</td><td>-2.1754007415114867</td><td>0.4011308794971751</td><td>3.5902705711064433</td><td>0.18495618180647985</td><td>3.6515769151425177</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.5062612291003</td><td>0.9997223116728409</td><td>nan</td><td>132604.0</td><td>3633667.8337860107</td><td>132604.0</td><td>47.862669053550725</td><td>0</td><td>3629836.3660213975</td><td>1.0</td><td>-2.178028470793757</td><td>0.4158838397829151</td><td>3.6286583440092626</td><td>0.18398511989486274</td><td>3.6807926875136756</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.5266932855448</td><td>0.9998422314448273</td><td>nan</td><td>132605.0</td><td>3633621.2506580353</td><td>132605.0</td><td>47.88206381294157</td><td>0</td><td>3630264.714549671</td><td>1.0</td><td>-2.180677830291881</td><td>0.4307296824817629</td><td>3.6672052609018317</td><td>0.18300735328132892</td><td>3.7101490047599226</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.5675570991443</td><td>0.9997582398366757</td><td>nan</td><td>132607.0</td><td>3633000.380264282</td><td>132607.0</td><td>47.92869043255829</td><td>0</td><td>3629941.2857178226</td><td>1.0</td><td>-2.1860416381830308</td><td>0.460700764705989</td><td>3.7447776256523984</td><td>0.18103164903587343</td><td>3.7692844679799906</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.587989156753</td><td>0.9996797398181987</td><td>nan</td><td>132608.0</td><td>3632872.1142292023</td><td>132608.0</td><td>47.89915853872955</td><td>0</td><td>3629646.2314486075</td><td>1.0</td><td>-2.1887561856997317</td><td>0.4758263790249837</td><td>3.7838036230084517</td><td>0.18003368294763394</td><td>3.799064211004942</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.608421114368</td><td>0.9997206621332078</td><td>nan</td><td>132609.0</td><td>3632842.7295036316</td><td>132609.0</td><td>47.85585436947139</td><td>0</td><td>3629785.557085446</td><td>1.0</td><td>-2.1914925616796306</td><td>0.4910456253443005</td><td>3.8229898633504096</td><td>0.1790289552448402</td><td>3.8289856930072714</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.6288530724487</td><td>0.9997112588233211</td><td>nan</td><td>132610.0</td><td>3632803.993894577</td><td>132610.0</td><td>47.8376854875877</td><td>0</td><td>3629741.491678547</td><td>1.0</td><td>-2.1942508156845624</td><td>0.5063586910607467</td><td>3.8623366214273016</td><td>0.1780174516993333</td><td>3.8590492125125495</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.649285030988</td><td>0.9998555351226522</td><td>nan</td><td>132611.0</td><td>3633366.8895816803</td><td>132611.0</td><td>47.833337824186906</td><td>0</td><td>3630256.445741738</td><td>1.0</td><td>-2.1970309972763635</td><td>0.5217657635711228</td><td>3.901844171988155</td><td>0.17699915808295472</td><td>3.8892550680463343</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.669716989767</td><td>0.9998098925720524</td><td>nan</td><td>132612.0</td><td>3633311.242116928</td><td>132612.0</td><td>47.82951294055048</td><td>0</td><td>3630080.2462951913</td><td>1.0</td><td>-2.1998331560168713</td><td>0.5372670302722362</td><td>3.9415127897820197</td><td>0.17597406016754435</td><td>3.9196035581342104</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.690148948779</td><td>0.9997076723433814</td><td>nan</td><td>132613.0</td><td>3633454.115245819</td><td>132613.0</td><td>47.827956983168555</td><td>0</td><td>3629698.1108623846</td><td>1.0</td><td>-2.2026573414679183</td><td>0.5528626785608874</td><td>3.9813427495579212</td><td>0.1749421437249436</td><td>3.9500949813017323</td><td>1800.0</td></tr>\n",
       "<tr><td>2818.7105809082495</td><td>0.9996609323036864</td><td>nan</td><td>132614.0</td><td>3633572.709289551</td><td>132614.0</td><td>47.82878398536017</td><td>524288</td><td>3629518.451740521</td><td>1.0</td><td>-2.2055036031913446</td><td>0.5685528958338841</td><td>4.021334326064893</td><td>0.1739033945269926</td><td>3.980729636074492</td><td>1800.0</td></tr>\n",
       "</table></div>"
      ],
      "text/plain": [
       "<TimeSeries length=2480>\n",
       "       time               flux        flux_err ...        cbv05              cbv06        exptime\n",
       "                                               ...                                           s   \n",
       "      object            float64       float64  ...       float64            float64       float64\n",
       "------------------ ------------------ -------- ... ------------------- ------------------ -------\n",
       "2749.5899533941338  0.998349433848371      nan ...  2.7580352239694506 0.9449693607767682  1800.0\n",
       "2749.6103854284593 0.9983187622396653      nan ...  2.7337745018705517 0.9413711769034284  1800.0\n",
       "2749.6308173623256 0.9984457325683745      nan ...  2.7095909556591535 0.9377823016121527  1800.0\n",
       "2749.6512491959584 0.9983939071581265      nan ...   2.685484485807006 0.9342027182885964  1800.0\n",
       "2749.6716812293525 0.9987166345406551      nan ...  2.6614549927858597  0.930632410318415  1800.0\n",
       "2749.6921131622876 0.9987638059203047      nan ...  2.6375023770674657 0.9270713610872642  1800.0\n",
       " 2749.712544994756  0.998809794888955      nan ...   2.613626539123574 0.9235195539807992  1800.0\n",
       " 2749.732977027219 0.9989407930835639      nan ...   2.589827379425935 0.9199769723846757  1800.0\n",
       "  2749.75340895899 0.9989372786791572      nan ...  2.5661047984463004  0.916443599684549  1800.0\n",
       "  2749.77384079076 0.9990159099433658      nan ...  2.5424586966564195 0.9129194192660746  1800.0\n",
       "2749.7942728220587  0.998943158158829      nan ...  2.5188889745280436  0.909404414514908  1800.0\n",
       "2749.8147047528983 0.9990148906745702      nan ...  2.4953955325329225 0.9058985688167047  1800.0\n",
       " 2749.835136583737 0.9990779456926332      nan ...  2.4719782711428078 0.9024018655571202  1800.0\n",
       "2749.8555686138716 0.9992400840159591      nan ...   2.448637090829449   0.89891428812181  1800.0\n",
       "               ...                ...      ... ...                 ...                ...     ...\n",
       " 2818.404101452441 0.9997083659963285      nan ... 0.18877366699696385 3.5361133038974453  1800.0\n",
       "  2818.42453350703 0.9996423445755372      nan ...  0.1878292816114223  3.564769882023916  1800.0\n",
       " 2818.444965362083 0.9996091702784011      nan ... 0.18687824843660028  3.593565810923214  1800.0\n",
       "2818.4653973173627 0.9996831983733262      nan ... 0.18592055324433898  3.622501389120891  1800.0\n",
       " 2818.485829373116 0.9996599733968752      nan ... 0.18495618180647985 3.6515769151425177  1800.0\n",
       "2818.5062612291003 0.9997223116728409      nan ... 0.18398511989486274 3.6807926875136756  1800.0\n",
       "2818.5266932855448 0.9998422314448273      nan ... 0.18300735328132892 3.7101490047599226  1800.0\n",
       "2818.5675570991443 0.9997582398366757      nan ... 0.18103164903587343 3.7692844679799906  1800.0\n",
       " 2818.587989156753 0.9996797398181987      nan ... 0.18003368294763394  3.799064211004942  1800.0\n",
       " 2818.608421114368 0.9997206621332078      nan ...  0.1790289552448402 3.8289856930072714  1800.0\n",
       "2818.6288530724487 0.9997112588233211      nan ...  0.1780174516993333 3.8590492125125495  1800.0\n",
       " 2818.649285030988 0.9998555351226522      nan ... 0.17699915808295472 3.8892550680463343  1800.0\n",
       " 2818.669716989767 0.9998098925720524      nan ... 0.17597406016754435 3.9196035581342104  1800.0\n",
       " 2818.690148948779 0.9997076723433814      nan ...  0.1749421437249436 3.9500949813017323  1800.0\n",
       "2818.7105809082495 0.9996609323036864      nan ...  0.1739033945269926  3.980729636074492  1800.0"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lc_targ.clean_subt_activity_GP(\n",
    "            timeseries=None,\n",
    "            bin_duration=60 * u.min,\n",
    "            period_min=0.2,\n",
    "            period_max=100.0,\n",
    "            tune=2500,\n",
    "            draws=2500,\n",
    "            chains=2,\n",
    "            target_accept=0.95,\n",
    "            ncores=None,\n",
    "            return_trend=False,\n",
    "            remove_outliers=True,\n",
    "            sigma_out=3,\n",
    "            mask=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3482104d-4ca3-4b2e-86c3-0e5a6b34d12d",
   "metadata": {},
   "source": [
    "### Plot the corrected light curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1836267a-064d-4816-bbff-093806429394",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(lc_targ.ts_clean.time.value, lc_targ.ts_clean['flux'],'k.', markersize=1.8, alpha = 0.25)\n",
    "\n",
    "plt.xlabel('Time [{}]'.format(str(lc_targ.ts_stitch.time.format).upper()))\n",
    "plt.ylabel('Flux')\n",
    "# plt.xlim(2350,2356)\n",
    "# plt.ylim(0.985,1.015)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3858bdd-fe1b-4cf4-939f-c97be2f25fce",
   "metadata": {},
   "source": [
    "#### Looks like there's something wrong at the begginning of our data. For now, lets mask it out."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "174984bd-a1d8-47a0-aa60-b17a650db410",
   "metadata": {},
   "outputs": [],
   "source": [
    "debut_mask = np.array(lc_targ.ts_clean.time.value < 2752.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7673e350-dc7b-4620-89aa-7b241c9fd7de",
   "metadata": {},
   "source": [
    "## Look for transits using TLS"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b7fb73f-f53c-4aac-9465-e6a26218e152",
   "metadata": {},
   "source": [
    "### Look for the first exoplanet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ac3e6db5-7328-4641-9128-dd736d5edc68",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Transit Least Squares TLS 1.0.31 (22 Nov 2021)\n",
      "Creating model cache for 44 durations\n",
      "Searching 2342 data points, 6881 periods from 0.602 to 33.099 days\n",
      "Using all 8 CPU threads\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████████████████████████████████████████████████████████████| 6881/6881 periods | 00:20<00:00\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Searching for best T0 for period 21.06392 days\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " /home/jrodrigues/testenv/lib64/python3.9/site-packages/transitleastsquares-1.0.31-py3.9.egg/transitleastsquares/main.py:411: UserWarning: 1 of 3 transits without data. The true period may be twice the given period."
     ]
    }
   ],
   "source": [
    "perio_results1 = lc_targ.tls_periodogram(cleaned=True, n_transits_min=2, mask=debut_mask)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a939e2ac-e372-4c06-9b33-9d46b23c41f3",
   "metadata": {},
   "source": [
    "#### Plot the TLS periodogram "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "5bfa1c10-3ae3-43cb-9b1c-e184bba3041d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6QztJEATRLCgUCoipBUUYADkogiCaBaVSCYmE1kER+mPxx22s6ryCJztZO8HZ2hn/ce0NZ2tnwWtGeD8hGGtKC8na8nUtN7S+qfUZG3O3j9APhUIBsVQCJU0zJ/SEWlAEQTQLSqUSEqmENosl9MbiHdRbyct44eOUWOzP+Y2LGwYAamNNaSFZW76u5YbWN7U+Y2Pu9hH6oVAoIJGKqQVF6I3FOyiCIMwTpVJZN0mCWlCEnpCDIgiiWahrQVEXH6E/Fj9JYojXYJ6sWqgrk8gEF+oC4NbcNIw1pYVkbfm6lhta39T6jI2520foR10Lirr4CP1ptq2OjAltdUQQlsedO3cwZf4UDJw6GCE9QmirI0ItJj8PylSMPTWRFxYnvo6f7u7k4oYBgNpYU1pI1pava7mh9U2tz9iYu32EftTW1kJiJaUxKEJvLL6Lr1xRzpMfKh6iQlHBxUKo8hvGmtJCsrZ8XcsNrW9qfcbG3O0j9KO2thYSKU2SIPTH4ltQBEGYJ7W1tZBKaasjQn8svgXlYePBkz1tPOFi7cLFQqjyG8aa0kKytnxdyw2tb2p9xsbc7SP0Q6FQQGItpUl8hN7QJAmCIJqFixcvYummtxH2aBg69w2nSRKEWkx+HpSpePPSUp4cYO+PMMcwXLl/BWGOYY3q93brhTMFZwVjAGrTQrK2fF3LDa1van3GxtztI/SDG4OiaeaEnlj8GNSF4gReuFiSiNSym1zcMABQG2tKC8na8nUtN7S+qfUZG3O3j9CPull8EjrwndAbi3dQBEGYJwqFAlIrKU2SIPSGHBRBEM0CdfERhmLxkyQyy7N4skwig0wiQ4WiAjKJrFF9O6kM5bUVgjEAtWkhWVu+ruWG1je1PmNj7vYR+nHo0CFsORUHN193dB3SlSZJEGpptZMkEosTebKHrQe8Zd7IqciBt8y7UX07qS8KqwsFYwBq00Kytnxdyw2tb2p9xsbc7SP0Q6FQQGJFm8US+mPxXXzrb27ghc3pcTiWd5yLGwYAamNNaSFZW76u5YbWN7U+Y2Pu9hH6UdfFJ4WSHBShJxbvoAiCME9qa2v//yQJclCEfjSbg7p79y4GDhyIRx55BGFhYVi3bh0AoKioCEOGDEFwcDCGDBmC4uLi5jKBIIgWRDXNnLr4CH1ptjEoqVSKjz76CF27dkVpaSm6deuGIUOGYPPmzRg8eDBef/11rFmzBmvWrMH777+v930mtZ/Ik31kbeFv7wcvWy/42/sJXtPLtadgrCktJGvL17Xc0Pqm1mdszN0+Qj9U08yVCppmTuhHszkob29veHvXTVJwcHBAaGgosrKysHfvXhw/fhwAMHPmTAwYMMAgB/VMwAzBfHWHFdYvaxhrSmvSqeleupQbWt/U+oyNudtH6IdqmrmitralTSEsFJOMQaWnpyMhIQE9e/ZEbm4u57i8vLyQm5sreM2mTZsQHR2N6Oho5Ofnq9U9/MRIXnjhwv8hLv17Lm4YAKiNNaWFZG35upYbWt/U+oyNudtH6EdtbS2ktFksYQDN7qDKysowbtw4xMbGok2bNrwykUgEkUgkeF1MTAzi4+MRHx8Pd3f35jaTIAgj889CXeriI/SjWR1UTU0Nxo0bh2nTpmHs2LEAAE9PT+Tk5AAAcnJy4OHhoUkFQRAWikKhoJ0kCINotjEoxhieffZZhIaGYuHChVz+qFGjsGXLFrz++uvYsmULRo8ebdB9guQdeHKgPAC+Mh8EyTvAV+YjeI0qv2GsKS0ka8vXtdzQ+qbWZ2zM3T5CP6iLjzCUZtvq6NSpU+jbty/Cw8MhFtc11FavXo2ePXti4sSJyMjIgJ+fH3bs2AEXF80H1tF5UARheXzyyScoDriPzBt30Xd8P9rqiFCLybc66tOnD9T5viNHjhjtPvMuzOfJgfIARDlFIrEkCVFOkY3qD/IciKO5xwRjAGrTQrK2fF3LDa1van3GxtztI/SDNoslDMXi9+K7WXaLJyuhhJuNG26W3YKbjZvgNZkVWYKxprSQrC1f13JD65tan7Exd/sI/VAoFP+/i48cFKEftNURQRDNgmqrI1qoS+gLOSiCIJoFbi8+akERemLx50ERBGGeLF++HG5PeuDcr+cwZOYQmiRBqKXVngf1bVocT1btxZf+8I7gXnwdHYKRUpoqGANQmxaSteXrWm5ofVPrMzbmbh+hP2KJmBbqEnpj8Q7qx4wdPDlQHoBerj1xtvCc4CakHR2CcbbwnGAMQG1aSNaWr2u5ofVNrc/YmLt9hP5IJBIagyL0hsagCIJoNsQSERS1ipY2g7BQyEERBNFsiCUSKKmLj9ATi+/imxc0lyd72HrAW+aNTg4h8JZ5C14z0GOAYKwpLSRry9e13ND6ptZnbMzdPkJ/xBIxlLXkoAj9sHgHFeUcxZNlEhlkEhnsJHaQSWSC17hauwrGmtJCsrZ8XcsNrW9qfcbG3O0j9EcsEVMLitAbi+/im/P3f3lhafIy/Jy5k4sbBgBqY01pIVlbvq7lhtY3tT5jY+72EfojEoloHRShNxbvoAiCMG/UnflGENogB0UQBEGYJRY/BtXNuQtPDrD3R7A8CNWKKgTLgwSvUeU3jDWlhWRt+bqWG1rf1PqMjbnbRxBEy2DxDurdiHcE83u79VJ7jaqsYawprUmnpnvpUm5ofVPrMzbmbh9BEC2DxXfxzTg7mxdWJK/Cr9m/cXHDAEBtrCktJGvL17Xc0Pqm1mdszN0+giBaBotvQeVV5fFkuZU9iqqLkFuVi6LqIsFrVPkNY01pIVlbvq7lhtY3tT5jY+72EQTRMlh8C4ogCIJonWh0UB988AGX/umnn3hlS5YsaR6LmoidxI4X7CX2kElkXNwwAFAba0oLydrydS03tL6p9Rkbc7ePIIiWQeN5UF27dsXFixcbpYXk5oTOgyIIy2P58uUInBWE3bG7MOblsXQeFKEWvc6Dqu+7Gvoxc1kd/tGNtTy5vV37Rmc81SfSKQJJJZcEYwBq00Kytnxdyw2tb2p9xsbc7SMIomXQ2MVXfwV4w9Xg2laHz549Gx4eHujcuTOXt3z5cvj4+CAqKgpRUVH47TfDZ28duneEF47lHUdSySUubhgAqI01pYVkbfm6lhta39T6jI2520cQRMugsQWVlJSENm3agDGGiooKtGnTBkBd66myslKj4lmzZmHevHmYMWMGL3/BggV45ZVXDDSbIAiCaO1odFAKhf4HjfXr1w/p6el6X08QBEH8u9FpHdTly5dx/fp1AMAjjzyCsLAwvW+4fv16xMXFITo6Gh999BGcnZ0F623atAmbNm0CAOTn56vVt6rzCp7sZO0EZ2tn/Me1N5ythXWP8H5CMNaUFpK15etabmh9U+szNuZuH0EQLYPGMaj79+9jwIABGD16NLZt24atW7di1KhRGDhwIB48eNDkm82dOxe3bt1CYmIivL29sWjRIrV1Y2JiEB8fj/j4eLi7uzf5XgRBEIRlo9FBLV26FNHR0bh58yZ2796NPXv2IDU1Fd27d8ebb77Z5Jt5enpCIpFALBbjueeew/nz5/U2XMVbyct44eOUWOzP+Y2LGwYAamNNaSFZW76u5YbWN7U+Y2Pu9hEE0TJo7OI7fPgwLl26BLH4Hz8mFouxevVqhIeHN/lmOTk58PauO4Z99+7dvBl+BEEQBFEfjQ7K2toaUmnjKlKpFDY2NhoVT5kyBcePH0dBQQF8fX2xYsUKHD9+HImJiRCJRPD398cXX3xhmPUEQRBEq0Wjg6qsrERCQoLgIt2qqiqNirdv394o79lnn9XDRM0M8RrMk1ULdWUSmeBCXQDcotCGsaa0kKwtX9dyQ+ubWp+xMXf7CIJoGTQ6KNVEBpWDqr8418vLq3kt05FFIQsE8zW99MhBmRfmbh9BEC2DxkkS77//PrZu3Ypjx47h2LFjmDlzJuRyOTp37oydO3eaykaNjD01kRcWJ76On+7u5OKGAYDaWFNaSNaWr2u5ofVNrc/YmLt9BEG0DBod1PPPP8+NNZ08eRJvvPEGZs6cCUdHR8TExJjEQG2UK8p54aHiISoUFVzcMABQG2tKC8na8nUtN7S+qfUZG3O3jyCIlkHrThIuLi4AgB9//BExMTEYN24cxo0bh6ioKFPYRxAEQfxL0eqgamtrIZVKceTIEW5nBwCora1tduN0wcPGgyd72njCxdqFi4VQ5TeMNaWFZG35upYbWt/U+oyNudtHEETLoNFBTZkyBf3794ebmxtkMhn69u0LALh58yYcHR1NYqA24np9I5g/sq367XNUZQ1jTWlNOjXdS5dyQ+ubWp+xMXf7CP0wlyN5CMtFo4N68803MXjwYOTk5GDo0KHcLD6lUolPP/3UJAZq481LS3lygL0/whzDcOX+FYQ5Nt4zsLdbL5wpOCsYA1CbFpK15etabmh9U+szNuZuH0EQLYPGSRIA0KtXL4wZMwb29vZcXseOHdG1a9dmNUxXLhQn8MLFkkSklt3k4oYBgNpYU1pI1pava7mh9U2tz9iYu31E02GMaT0zjiC0odVBEQRBNBWlUgmJRNLSZhAWDjkogiCMTm1tLeegaCyK0BcRs4BvT3R0NOLj4wXLMsuzeLJMIoNMIkOFogIyiaxRfTupDOW1FYIxALVpIVlbvq7lhtY3tT5jY+72EU2nvLwc69evh9fEttgduwtjXh6LGf7TW9oswkxR947X6cBCcyaxOJEne9h6wFvmjZyKHHjLvBvVt5P6orC6UDAGoDYtJGvL17Xc0Pqm1mdszN0+oumolqcQhCFYfBff+psbeGFzehyO5R3n4oYBgNpYU1pI1pava7mh9U2tz9iYu31E06nvoCygk4YwUyzeQREEYX7UH4MiCH0hB0UQhNFRKBRcC0okElEritALi+8kntR+Ik/2kbWFv70fvGy94G/vJ3hNL9eegrGmtJCsLV/XckPrm1qfsTF3+4imU78FJZaIoahVtLBFhCVi8Q7qmYAZgvnqDiusX9Yw1pTWpFPTvXQpN7S+qfUZG3O3j2g61dXVsLa2BgBIraTkoAi9sPguvuEnRvLCCxf+D3Hp33NxwwBAbawpLSRry9e13ND6ptZnbMzdPqLp1NTUcA5KIpVAUUMOimg6Fu+gCIIwP+q3oCRSCbWgCL0gB0UQhNHhOSgrclCEflj8GFSQvANPDpQHwFfmgyB5B/jKfASvUeU3jDWlhWRt+bqWG1rf1PqMjbnbRzSdRmNQNeZxfhxhWTTbVkezZ8/Gr7/+Cg8PDyQnJwMAioqKMGnSJKSnp8Pf3x87duyAs7OzVl2atjoiLJtVq1ZhyZIlEIupMd+aOH78OAAgwz8Tp3edQlDXYCwesKhljSLMFnXv+GZ7K8yaNQsHDx7k5a1ZswaDBw9GamoqBg8ejDVr1hh8n3kX5vPCxzdicTT3GBc3DADUxprSQrK2fF3LDa1van3GZNWqVfg944+WNoMwMo27+KgFRTSdZuvi69evH9LT03l5e/fu5X5ZzZw5EwMGDMD7779v0H1ult3iyUoo4Wbjhptlt+Bm4yZ4TWZFlmCsKS0ka8vXtdzQ+qbWZ0xkMhnS799paTMII8OfJCFFLc3iI/TApGNQubm58Pau28DVy8sLubm5autu2rQJmzZtAgDk5+ebxD7C9NjY2KCmqqalzSCMDM3iI4xBi3X8i0QijSduxsTEID4+HvHx8XB3dzehZYQpsbKyogH0VgjN4iOMgUlbUJ6ensjJyYG3tzdycnLg4eFhsM6D/X8VzNd09oyqrGGsKa1Jp7Zzbpp6Do6xz80x53N4rKysMNp7VEubQRgZ3iw+WqhL6IlJW1CjRo3Cli1bAABbtmzB6NGjDdb5bVocL/xx7zBSSlO5uGEAoDbWlBaSteXrWm5ofVPrMyZSqRSpJTdb2gzCyPBbUFKaJEHoRbO1oKZMmYLjx4+joKAAvr6+WLFiBV5//XVMnDgRX3/9Nfz8/LBjxw6D7/NjBl9HoDwAvVx74mzhOcFNSDs6BONs4TnBGIDatJCsLV/XckPrm1qfMZFKpbhYmIBhGNrSphBGhHNQtYDUSoLyyuqWNomwQJrNQW3fvl0w/8iRI811S8ICkUppI9HWCOegylV78VELimg6tDqSaFGkUimUCmVLm0EYGZrFRxgDi9/qaF7QXJ7sYesBb5k3OjmEwFvmLXjNQI8BgrGmtJCsLV/XckPrm1qfMZFKpejSJrKlzSCMTOMxKHJQRNOxeAcV5RzFk2USGWQSGewkdpBJZILXuFq7Csaa0kKytnxdyw2tb2p9xkQqlcIe8pY2gzAyCoWCO7BQIpXQQl1CLyy+i2/O3//lhaXJy/Bz5k4ubhgAqI01pYVkbfm6lhta39T6jIlEIsHhHBqXbI2o1jnSOihCXyzeQRGWTd0YFL28WjM0SYLQF3JQRItSt5MEOajWjNSK9uIj9MPix6C6OXfhyQH2/giWB6FaUYVgeZDgNar8hrGmtJCsLV/XckPrm1qfMZFKpfC08mxpM4hmhHYzJ/TF4h3UuxHvCOb3duul9hpVWcNYU1qTTk330qXc0Pqm1mdMrKysEGxvvg6U0I/6x8zRVkeEvlh8F9+Ms7N5YUXyKvya/RsXNwwA1Maa0kKytnxdyw2tb2p9xkQqleJs3vmWNoNoRiS0GJvQE4tvQeVV5fFkuZU9iqqLkFuVi6LqIsFrVPkNY01pIVlbvq7lhtY3tT5jIpVK8aDqfkubQTQjNIuP0BeLb0ERlg1tddT60XSsDkFowuJbUHYSO55sL7GHTCLjYiFU+Q1jTWkhWVu+ruWG1je1PmMikUggUVr815AgiGbA4t8Mu/oI74g+od04tdeoyhrGmtKadGq6ly7lhtY3tT5jYmVlha6OUS1tBkEQZojFO6iPbqzlye3t2qOjQzBSSlMFj5iIdIpAUsklwRiA2rSQrC1f13JD65tanzGRSqVIf5De0mYQBGGGWPwY1KF7R3jhWN5xJJVc4uKGAYDaWFNaSNaWr2u5ofVNrc+YSKVS3CnNaGkzCIIwQyzeQRGWDR23QRCEOshBES2KVCpFLe3TRhCEABY/BrWq8wqe7GTtBGdrZ/zHtTecrZ0Frxnh/YRgrCktJGvL17Xc0Pqm1mdMrKys0NHOPI+jJwiiZaEWFNGiSKVS1NI+ba2K+tscEYQhWLyDeit5GS98nBKL/Tm/cXHDAEBtrCktJGvL17Xc0Pqm1mcslEolpFIprpVcb2lTCCNSXV0NGxubljaDaAVYvIMiLJeamhp6kbVCKioqYGtr29JmEK2AFhmD8vf3h4ODAyQSCaRSKeLj41vCDKKFqaqqgrW1dUubQRiZyspKyGTmu3sJYTm02CSJY8eOwc3NzWA9Q7wG82TVQl2ZRCa4UBcAt2i1YawpLSRry9e13ND6ptZnLFRdQZ62dB5Ua6K8vJwcFGEULH4W36KQBYL5ml7K5KDMA1ULyoscVKuirKwMcrm8pc0gWgEtMgYlEokwdOhQdOvWDZs2bRKss2nTJkRHRyM6Ohr5+flqdY09NZEXFie+jp/u7uTihgGA2lhTWkjWlq9ruaH1Ta3PWKhaUFfuX21pUwgjQg6KMBYt0oI6deoUfHx8kJeXhyFDhqBTp07o168fr05MTAxiYmIAANHR0Wp1lSvKefJDxUNUKCq4WAhVfsNYU1pI1pava7mh9U2tz1ioWlC1jKaZtyYePnxIDoowCi3SgvLx8QEAeHh4YMyYMTh/nk5U/TeiakHRupnWhVALij5jQh9M3oJ6+PAhlEolHBwc8PDhQ/zxxx94++239dbnYePBkz1tPOFi7cLFQqjyG8aa0kKytnxdyw2tb2p9xkLVgrKT2mmvTFgM1MVHGAuTO6jc3FyMGTMGAFBbW4upU6di+PDheuuL6/WNYP7Ituq391GVNYw1pTXp1HQvXcoNrW9qfcZCNR1Z3WxLwjIpKyuDvb09L49O1SX0weQOKjAwEElJSUbT9+alpTw5wN4fYY5huHL/CsIcwxrV7+3WC2cKzgrGANSmhWRt+bqWG1rf1PqMRWVlJezs7HC3PLOlTSGMCLWgCGNh8TtJXChO4IWLJYlILbvJxQ0DALWxprSQrC1f13JD65tan7GorKyEjY0NiqqLWtoUwoiUl5fDzo66bQnDsXgHRVgulZWVtCVOK4QxBrGYXi2E4dC3iGgxqqqqyEG1QmjGHmEsLH4nia+6f8GTZRIZZBIZRng/AZlEeLuV8b7jBGNNaSFZW76u5YbWN7U+Y6FqQT3SJrSlTSGMiNCECHJahD5YfAsqsTiRF26V3UJhdSEXNwwA1Maa0kKytnxdy+vz6aef4maOcceMmnJ/U6JyUOVmupCYMB4ikahZnFR1dTU5v1aMxTuo9Tc38MLm9DgcyzvOxQ0DALWxprSQrC1f1/L6fP7559h/3XjnNx06dAgH0g4aTZ8xUU2SSH+Y3tKmEM2MRCpBTU2N0fVOmDABf/75p9H1EuaBxTuo1gZjDMZcMvLSSy+hMNu8W1BE60KoRdNcDsrb2xvJyclG10uYB+SgzAwrKyvU1iiMpq+5ulaMQW1tLaRSqdnaRxgPiVXzOCgPDw/k5uYaXS9hHlj8JIlJ7SfyZB9ZW/jb+8HL1gv+9n6C1/Ry7SkYa0oLydrydS2vj62tLTrJQnSurw2ZTIYQm45G02dsRCIR2tn5trQZRDMjkUqbxUHRDhWtG4t3UM8EzBDM17R9jqqsYawprUmntq16mrKVj42NDTwlHtor6ohMJoOH2N1o+poDVxvX/9+12bIvm6VLlyI6OhqjR49uUTtaI9JmakEB5KRaMxbfxTf8xEheeOHC/yEu/XsubhgAqI01pYVkbfm6ltfH1tYWv97Zr3N9bchkMuy7/YvR9BkTVdfelYdXm+3l1RRSU1Px8OHDljajVdJcY1DUPdy6sXgH1dqwsbFBTZXx/pHt7OxQVVltNH3GRPXL11pmjfLyci21mx9HR0dkZ2e3tBmtEolV83TxEa2bf72Dau51FEuWLEHG1Ts617e1tTWqg5LL5agqrzKavubA2tbaLFourq6uWLx4MYqLi1valFaH1EqC6mrj/lCqqamBtbW1UXUS5oXFj0EFyTvw5EB5AHxlPgiSd4CvzEfwGlW+r8wHzz77LIIHdwQC+GUN00IyAHz99ddgHQD4C9v3999/Y0jkEN0eBnUtKAc46FxfG/b29rCrFd5Ro6VR/TDwcvQyixaUlZUVvvjiC+Tm5sLZ2bmlzWlVWFlbobKy0qg679+/jzZt2uDhw4d6LVlQKOpmy0okkiZdZw7jpf8WLN5Bre+2TjB/kOdAtdeoygZ5DsTGqg3oZBfSqExIh5DOX3/9FU8//bTae4nFYkQ4Rqgtb4itrS062ATqXF8bcrkcPmJhR20u9Gjb3SwcFAD4+fmhsNA8141ZAgqFQnCjWBt7W5SVlRn1Xvfv34ejoyNsbGxQXFwMb29vna8tKyvDF198AWdnZ8yePbtJ9x08eDC+/PJLdOjQQXtlwiAsvotv3oX5vPDxjVgczT3GxQ0DAF4skUiQVHiJ06cqu3nzJn5LO8C7l6qsPkqlEskPrqi1TyKR4GJBgs7PY2tri0v5l3Wurw17e3tczlW/kPG7777Drl27jHa/pqD6FZpSlaqzg1q8eDFOnTrVbDa5urqSgzKA4uJiuLg0PsHZthkc1IMHD+Do6AgXFxcUFTXtyJaTJ0/ilVdewe3bt5t8X0dHR6OeaUeox+JbUDfLbvFkJZRws3HDzbJbcLNxE7wmsyKLiyUSCQoqCxuVPffcc+j5XC88EfA4gLpm/Y3clEatKMYYimrUj1nY2dkh+77uA+8ymQxZD4w3UC8Wi1FSVaK2/NKlS/D09BQsq6yshJWVVZO7QJrKA3GpzmNQFy5cwGOPPdZstri4uNDOBAZQWFgIV1fXRvkyuS1KC0uNei9VC0qpVDbZQUmlUri7u+v13ZbL5UZ3toQwFt+CMhSxWAymrBsL+c9//sPlN+xjvnv3Lt56/M1G10ulUigV6nd+kMvlqGzCJAV7e3ujTWqoqqrSOoisVCrV9qfb2dlhx44dRrFFEzZ2NlwLqqysTOM9PT09m/wy0oXq6mpYW1vD0dERDx48MLp+S6GqqgoFBQV6X19QUCDooGzsbDF58mRDTGuEykHp04K6f/++2p6D+/fvaxwva4qDOn78eJPsIvj86xxUTk4Oqir+cQBisRiMKQEAZ86c4dWtP7mPMQah17hMJkNVxT+zk+7evcubBdZUh1NnT+NZhbm5uSgpKdFZDwCUlpbCwUHzhAtNh8uNGjUKNjY2TbpnU1A9Z/1p5nfu3MHy5cvVXuPu7o68vDy97hcXF6e2TPWya9OmTbM7qLt372rsRvz+++9hZWWFnJycZrVDiJ9++gnz5s0DoN8ao8LCQri5Ne65kDvLjT5mo5okoa+D8vf3FyzbuXMnTp8+rfbapjiolStXNskugo/FO6iD/X/lhS4XI+B+zRWfd/sUM/ynI2HdBczwn86FF154Aa7X6mZozfCfDrFYjF7O/2xFNMN/OoC6f84ocQT3MqyoqICbQ+N/PDs7O3Sz78LJy5cvx86dOznZ3t4eYTa6n3fEGEOUc2Sj/GXLlmH79u066wHqHFSbNm0E9akQi8Wora3l5SmVSpSWlsLd3R35+flNuqeu1G+5TQ2ezHXx5eXlwcND/U4ajo6Oah11Xl4eXn/9dbXXzpw5U+1L98GDB2jTpg2srKyafb3OunXr8PLLLwOoO15Fqaz7gaS6782bN1FbW4vAQO2TZRhjWsfMRCIR7t+/r5NtDx484GYw9uvXD5mZmRrrDx06lCer6+Kzkdlg+vTpOtmgK4aMQZWUlMDR0VGw7Pr168jKylJ7rUwm02nMtKysDImJidznSzQdi3dQ36bF8cLeU/vwxBNPoN+T/bD68/cQGxuLhJxEnEo9jbCoMCgUCtyrrttcMqU0FSKRCPcq/9lsMqU0FUDdlOM1H63Bxo0bAdQ5KLHNP3+uu3fvAqhzQOlF/6xzajgF1dbWFln3//myKxQKrb9MC6sKkZ6ejrNnz3J55eXlkMl0ny7+ww8/cC2owir1LzA7O7tG/2znz5/HiBEj4Obm1shBXblyBfv27dN6/7/++guXLl3Ctm3bBMtLSkq4F2G2MoezQV0XkQp1LUwASEhIwLlz5zi5ooJ/zpRMJlM71qVqQRmbY8caT6zx8/NDXl4efv75ZyxcuBB5eXmoqKjgnBZQ56Rmz57d6MdDQ0pKSjS2TJRKJdzc3HDnTuO1eJ988gk31VpF/bVF+fn5WluThw4dglKp5BY4q3NQTWHnzp2N7FLZVv/7qPrM5HI5SkubNr5VWloKuVwOsVgseC9NDkq1AfP+/fvx2Wefqa2Xk5ODbt26ITW17p3yyy+/ID4+nlcnNzcXixcvbpLt/yZaxEEdPHgQISEhCAoKwpo1awzStX7Henxx8Av8kPYjXp/5KvbH/QoA+PPXP/Hmi0sAABu2bcBrr76Gq0lXoVQqkVqWitLSUvyVV9eld7vsNmbOnAkAOFtY94KTyWTIysmCUqlERkYGrl+/Dtj/c9+AgABUV1dDJpMhtSiVy2/YZSYSiXC3/J9foZs3b8aJEycEn0W1u/fd8kycPHkSvXv3xt9//w2gzrHVH9Bt+OKqqvqnGzEhIQFTpkzhHJRq4gdQ14XTqVMnThZ64dfW1kKpVMLa2rpRayIhIQFbtmyp+3ugbtbWhx9+2OhZ9u3bh/3792PatGmCz5qfnw9397o9ApMrr3AOStWSOXPmDK5du9boOk3rT27cuMH1+WdmZsLOzo5X7uHhobZFqPo1ro76jk8bP/zwA/bv3w/GGAYNGtSovKSkBAqFAhMmTEBsbCwyMzORl5fH/SBhjKFDhw7o3bu32llmqs87JycHXl5eXP62bdvAGANjDDU1NUhJScHEiRMFW0IrVqxo1PoqLS2FvX3dF93FxYXrrv7++8bbddXW1kIsFiMzMxPDhg3DxIkTuRd/U2i4MHrVqlWCf+9XX30V8+fP52TVuKG+a5JEIhFcXFwatchlMpnWNVuMMbz11lu4d+9eo7KUlBTU1NSguLgYU6ZMwe+//w4A2L59e6MJOL///jv3Y/ffQnp6uuCPAiFM7qAUCgVefPFFHDhwAFevXsX27dtx9epVvXSdOXMGF1//G+de+AvnX/oLeX8Kb7t/M+EmVANI169fR+xzazFt2jRcOp5U92tIybhfOSokEgkUCiUOHz6Mjz76CJ9++inkTnIwxvCf//wHTk5OuH//PqytrVFb3biLTKgbat++fbh06RIGDhyIrVu3Aqj7J/n222+hVCpRVlbG/XNbWVkBAOegHB0dkZ+fz71Q2rdvD6DuBZWeno6QkLq1XAkJCUhPT8f48eORn5/PjUGpnNDZs2c5B3r37l3uZQYAa9euRXJyMvfLtP4//hdffAGg7lfs5cuXOceTkZGBuLg4ZGdno3fv3mCM4fr167CxscGSJUsEPzOlUomCggJurMLKxopr7agcxZ49e/DJJ59w17344ouNWp9VVVVgjHFf9oKCAsyaNQsAcPnyZQwc+M+My5qaGnh5eXEOQ/XCVelTjWeoPpP6PHz4kJtAs23bNqxfv567dsuWLY2ecefOnbh37x6Kiorg5ubW6MeEQqHAuHHjcPnyZfTu3RtZWVnIy8vj7qtyPkFBQUhJSUFsbGyje7Rt2xaMMaSlpfHGUrZt24YbN27g559/xvPPP4/Lly9j9OjRjV6CSqWS54BU1NbWwsrKCowxODk5oaSkBIwxfP3119i4cSOvvqr1lpCQgFdffRWOjo5ITU3V6DCEWr+enp5cPmMMjzzySKP/RwBo06YNwsPDdRoj3LdvH44ePYrTp08jKSmpUatfdT93d3dkZGRw+dnZ2YJjaCpU3XWFhYWYPHlyo/HbjIwMTJw4EUuXLkVKSgo6derE/c8GBgbi1i3+rOO0tDQEBQU16gZMSUnROA5mycyePRtHjhzRqa7JHdT58+cRFBSEwMBAWFtbY/Lkydi7d69euurPuiu5UqK23rGtR5GenA4A3Bfkl19+wYaXP0dCQgJO7TrFTZCYGfA0/P39sXv3blRXVOH06dP45JNPUFJSArmzA8RiMc6cOQMnJyeMHz8eGRkZUNQq0LFjRxQUFEAsFmPOnDlwdnbG888/j48//hhJx5JQXFyM0aNHIzU1FWKxGImJidxLefbs2YiLi+NNalB9YfPz8zF06FDY2triiy++gJubG/73v/+hoKAAhYWF6NevHwICArhuma5duyInJwc9evTAtWvX4ODgAHtHe66P3snJCfn5+cjJycFLL73E/Y369euHN954A+Hh4Th//jycnJx4L5off/wRp06dQl5eHlJTU3Hx4kXs3r0bBQUFSE5OxtKlS3H27FmUlpYiNDS00fTddevqFlSPGzcO6enpuHXrFteCqn9m1YMHD+Dg4ACZTMbdv7a2Fp9//jnS0tK48ZSMjAzY2triu+++w9ixYzk97du3B2MM6enpCA7+Zxf527dvo3v37khPT8fHH3+Mp59+GiNHjsTUqVO5+6paUCpbRo4ciY0bN+Lu3bto27Ytdu3aheeeew4XL14EUOds33nnHYhEIlRXVyMjIwPPPPMM/Pz8UFBQgPv37yMyMhIpKSmcHaNHj0ZFRQXmzp2Lzp07w8fHh3NQqrE31Y4I3t7eOHLkCDZt2gQA3Ivu8ccf55z8jRs34Orqil9++QVr165FmzZtcP78eWRlZUEulyMvLw/h4eG4d+8eKioq8O2332Lnzp0ICQlBZGQkSkpKUFpaig8++ADTpk3jHJBYLEZBQQFKSkpQVlaG5OTkRl2oRUVF6Ny5M86ePYsePXrAz8+P64kQQmiNWXl5Odq0acN9P9PS0tC/f3/cvHkT5eXl2L//n42TGWMICQnRunZp69atePvtt7F582b8/vvv2LNnD06cOMF9roWFhdyPhtGjR/Nm850/fx6PPvqoWt0FBQVwd3eHm5sbKisroVQqOb3l5eU4cOAAhg0bhk2bNuHvv/+Gs7MzVy6VSlFVVcWbYKFQKODm5oZr165h4cKFAOpa/2vWrMHhw4c1PqclUl5ejl69eum8jszk66CysrLQrl07Tvb19RVszm/atIn7xzTGQH12auM+5cqySu5lUx9Vf335g3/GZgoLC3Ft2z9dTqWlpTh58iRsbW3xxx9/AAD3wlXxxRdf4N1338Wbb77JLV48cOAAgoODsX79evzvf/9DYGAgbt++jWeeeQYBAQGIjY2Fv50fN6CsVCpx4cIF3LhxAxkZGXB1dcXq1avRoUMHZGRk4ObNmwDqfoWqXugHDx7E7NmzsWHDBkydOhV9OvZBVlYW98tw3rx5mD59Os6cOYOIiAiIRCLEx8cjJiYGn376KTZt2oQnnngCTk5O3Ivj2LFj6Nu3L6ZOnYrg4GCkpqYiMTERYWFhGDNmDLKyshASEoIFCxYAqJvUsXXrVkybNg3V1dVYtGgRZs6cCTc3NwQHB0OpVHK/6gd6DMBt0U3ueSUSCRhjSE5OhkgkQv/+/fHss89izZo18PHxQXx8PJ577jk88cQT+PLLL9GtWzeuJejg4ICHDx/i3r17aNeuHfLy8pCSkoIDBw5gxowZcHJywqJFiwAA+/fv547WSE9Px4QJE3ifn7OzM9auXYu5c+diwoQJ+PTTTzFu3Dh4e3sjISEBt27dQnBwMNdVfffuXWzevBmLFy9GeXk5SktLMXXqVBw4cAAFBQX47rvvkJWVxWtFqGYl2traon379ryuJU9PTxw9ehTh4eHIzMxEnz59kJycjIMHD2Lo0KHIzs5Gfn4+nn/+efTr1w+DBw9Gjx49cOfOHSgUCjg5OaGgoAAeHh5QKpX46quv8NFHH2H27Nm4efMmnnnmGRw8eBBr167F3bt3IRaLkZaWhiFD6rbmWrx4MXJzc/Hf//4XnTt3Rnl5OS5cuIDhw4cDqHNQw4YNw/r16/H222/jrbfeavS/VJ+wsDDs2LEDL7zwAhhj2LBhA+Li4jBt2jRkZ2fD1dUVly5dQteuXZGdnY29e/di48aNGDFiBO7fvw8HBwd4e3tz3Wr1f0DVb4GkpKQgPj4eNTU1WL16NWpqahAYGIi8vDx4enpi5cqV3O4RDcd1b9++jQEDBqh9hpycHHh7e2POnDmora3F6dOncfToUezduxeenp5YvXo1EhISoFAocObMGTg7O6O2thbl5eWwsrLC1KlTERMTg5CQELz55psQiURwc3PD33//zf1IvnDhAubNm4fdu3c3uv/OnTtx+bLxFvKbmgcPHuDJJ5/Er7/+ys3W1TRmabYLdWNiYhATEwMAiI6OFqwjk8kaDYTrS7t27TT2Befl5UEsFkOpVGLmzJlc147qF2H//v15Y0uDBg3C0aNHERAQwNNz5swZjB49mnsRnT17Flu3bsWZM2dw48YNPP7440hMrvt18dxzz2HlypWYO3cuNmzYAC8vL4wZMwYbNmzA4MGDkZaWhvnz5yM2Npb7Z42IiMAvv/yCL7/8EosXL4aDgwNC/TtxX4aNGzfiueeeg0QiQUxMDBhjOHbsGCoqKpCeno4zZ86gd+/eqKqqgouLC5YtW4bevXtj5cqVuHXrFpKSkpCSkoKqqiq89957KCgoQEhICHJzc/HUU09h7ty5AOpaSpMnT8bJkydhY2MDiUSCjz/+GIWFhVAqlbCysuIcpqu1q+CsqAMHDkAul+PChQtYtGgRDh06BLlcjoKCArRt2xbdunXDN998gzFjxiA3NxcymQyPPPIIEhMTAQDTpk3DpEmTIJFIcPr0abzxxhvIysqCr68vHj58iNmzZ3Pdhvfv3+daLqq/ZYcOHdC9e3ds2LABgYGByM7ORlxcHJYtW4bPP/8cWVlZ2LFjB06dOoVdu3bhq6++Qnl5OWxsbLBixQocO3YM0dHR6Nu3L15++WUkJibiscce400cUXUR5eXlITg4mDfbztbWFpcuXcLIkSPx559/okePHnBwcMDvv/8OmUyG/Px8WFtbo2/fvjhx4gTi4uLg7e2N/Px8KBQKWFlZ8Rx+QUEB3n33Xezfvx/ffPMNJkyYgNDQUIjFYowdOxYikQhOTk6oqKjAO++8g6eeegorVqxAdnY2Fi1ahFWrVvG+z0VFRejSpQuOHTum0wSeQYMGcZNG0tLSsGrVKjz77LMYO3YsUlNTER4ejqtXr2Lo0KFwdHTEY489hilTpmD8+PHo27cvBg4cyLU2AH53oUwmQ2lpKV599VW4ublBKpVCKpXCxcUFtbW18Pb2Rm5uLhQKBVxcXBAZ+c/M1vrddDk5OXBycoK9vT2vy12FanKP6rvSq1cvPP/882jXrh1+/vlnTJgwAT4+Pli9ejW8vLzg7u6OwMBAzJ8/H/PmzUNkZCQWL16Mv/76izsJ2M3NDSdOnIC/vz9+/vlnFBYWonv37gCAI0eOoKamhvtRcOnSJaxYsULr39rcqd/9DkCwqxxoAQfl4+PDcwSZmZnw8dFvr7jy8nIMPzESZXfKILWXwsbFBh3aBKKXa08cv30CEXbhcPGqa7ns/WQP+k8ZANFZhm/2fovRfUYhcFYQ9r2yB4+/OwKPOwzDyJEj8dLPL6N4byGqq6vx+uuv4969e/D09MS2bdtwPOckti37Hr169eL+oGlpafjy2teY02k29yJVDdT36tULfn5++CL5Szz3yLNcV1BRURFmz56N5cuXw93dHS+//DLXD21lZYU0pAGoa0UGBQXh559/xrp167guuQULFuDUqVP466+/8MILLwAAFi1aBIVCgZdffhm7du3iJgQ4Ojrisk0ydu/ejaKiIm7m3MqVK+Ho6IiUlBT069cPFy9eREpKCnr27AlPT0+kpKRg7ty5SElJwapVqxAREYFXXnmF68KxsbHB7t27cfnyZWRnZ0MikcDZ2RmRkZEoLS1FRkYGxGIx3n77bZSXl+O7777DO++8g48++ggLFy5Ebm4u90/+c+ZOuLm54ejRo8jNzeUciL29PTdhwMvLCyUlJYiKisK+ffvg4eEBqVSKvLw8BAUFYc+ePQgODsagQYPwv//9Dw8ePEBAQABvoaRcLkffvn2xb98+hIeHQyqVYunSpXjppZd4v5rrv/heeuklvPTSS7h06RI3jlFWVobc3Fx06NABDg4OiI6ORufOnREbG8u9qFXrX1STTGJjY/H0008jICAAGzZsaPRdrqysRLt27RpNl/71119x/vx5XLt2Dc888wzu3r2L6OhoVFdX48cff+Tq9evXD7Nnz8aiRYvwww8/QCqVIigoqNHar2nTpmHt2rVYsGAB5HI5wsLCcODAASxbtgwA8Pbbb2POnDnw8/ODlZUVzp8/j8WLF2P48OEIDQ3FwIED0b59e8yZMwdFRUXo2LGjxjGbhtjY2KCqqgpnzpxB9+7dERkZiU6dOuHAgQPYtm0b8vLyYGdnh6CgIAwaNAiTJ09GUVER/vrrL0RHR0OhUPDGjFT06tULu3fvRkVFBW9nlMmTJ6O6uhp3795FXl4eduzYgTfeeIN3rUgk4pY9qCbWDBw4EJ999hkWLVoEqfSf1+SDBw94e/45OjrC2dkZixYtwmuvvYb79+9zk0z69+8PiUSCDh06YOfOnZxT7NKlC27duoXk5GS0bdsWgYGBeO+997Bu3TrMmzcPw4YNg4eHB5ycnLB161b4+Phg+PDhqK2t1XlyQauBmZiamhoWEBDAbt++zaqqqlhERARLTk7WeE23bt3Ulg07PoIX5sbPY1vSvuPihkGpVLIvr3/NGGNsS9p3vFipVLItad8xhULBlEole/aD53j3Ul3PGGMlJSXsjz/+YMXFxdz1DVmyZAnLyclpVP7pp582qqtUKjndy/etZLt27WKMMXb79m3Wvn37RvUPHDjAALDKykrGGGN//PEHS0xM5NUZPHgwY4yxzbfj2OXLlxvp+Omnn9iYMWO4+5eVlTHG6j6juXPnsqqqKsYYYyEhIWz//v2CNuv6FcrJyWGrV68WLNuS9h3bsWMHGzZsGBszZgz76aef2PPPP8+Vp6ens8rKSjZnzhz22WefNbq+pqaGAWD37t1jjDEWExPD/Y3z8vLYn3/+yb799lvBe9fU1DB/f3+Wnp7O5S1btoydOnWKvf3227x658+fZ4wxlpGRIWhHfXbu3Mn9bQ4fPsw++OADdu/ePVZSUtKo7rJly9iyZcvYr7/+yubOncvOnDnDK//yyy/Z7NmzGWOMKRQKLr9NmzZs3bp1nBwbG8uUSiVbsmQJW7FiBVMqlSwtLY0xxtjw4cOZo6MjY6zu8ywuLub+Powx9uGHH7L58+dz6a+++ooxxpiHhwdXhzHGHBwc2JIlSxhjjK1bt44VFhZq/DvU/99jjLFdu3ax+Ph49tJLL7HExERWWlrKGGPs1VdfZREREWzYsGEa9THG2NKlSxljjPf5VFZWslGjRjX626lISUlhy5YtY7GxsY3K1q1bx/Lz81l2djb7/PPPufzHHnuMjRgxglVXV3N533//Pbtx44ZWGxlj7M6dO4wxxm7cuMGeeeYZXtmRI0fYsmXL2NGjR7n/o4cPH7JVq1ax1157jTHGWGlpKbt48SL3nF9//TU7cuSITve2NNS9400+SUIqlWL9+vUYNmwYQkNDMXHiRISFhZns/iKRCNY2wtv/qLp2xGIxRCIR+k3op7aOo6MjhgwZAicnJ7X3evfdd3lTgFWoVuo31KvSHRAegDFjxgCoWzPTcO0EAAwfPhzp6encTg9DhgzhdVsA4MaxRCIROnfu3EiHh4cH9+tXJBJxv/ykUik+//xzbuLFjRs3eBNS6tu8evVqNU/Px8vLq9Ev1/r4+voiLy8P06ZNw7hx43gz+Pz8/GBjY4OlS5fiySefbHStVCrFgwcPuF/OEokEERF1O8i7u7ujT58+3Ow+oWvbt2/PGxe9desW+vTpw5t2LpVKuW6Xdu3acS1XdQwYMICbqTl48GAsXrwYnp6eGqeyOzk54dq1a+jSpQsvPyQkhFsaUL87qn///rzv0vz58yESiZCfn4927dpBJBJxM/yqqqoQFRUFAEhOTua+t6px0+joaK5l8Morr3BjNElJSbyx1ZycHNy5cwd2dnYoKCho8tqx/v37Y+vWrejUqRMiIyO5LrT+/fsjPz8f//3vf7XqKC4uRnFxMW8ijo2NDfbu3YtevXoJXtOhQwfExsZyE2rq0759e2RkZCA+Pp77GwF1M0fnzJmDS5f+2UxatfhdF1QzbX18fBAeHs4rc3V1xbFjxxAWFgaRSITr16/Dzs4Ofn5+XAtRLpfzvgvp6emNusZaOy0yBvXEE0/giSeeMIqubs78f+YAe38Ey4NQrahCsDxI8BpVfsNYU1pI1pava7mm+mKxuNHkCxV+fn4a9aheyuru37dvX/Tt21erPRcuXFDriDU5HV0JlgchODgIQ4YMwbhx4wD8M82+Pqp/eCHqb+k0duxY3otGGx999BHvxR8XF4ft27fzZjk2FRcXF26GoK44OjoiLy+v0fZSPXv25Bxufd544w3Bbar+97//NVoD9ssvv3B59busVAwYMIDXzan6sdTwB5a9vT3u3bsHOzs73L59u8mbrbq4uODy5cuNdpV44okncPXqVY0/+FRMnz4dsbGxajc5FkIsFuP06dPw9fVtVBYUFISrV6/iypUrXFcnADz11FPIzMzEtm3b0K1bNwD/rNNrCvb29tzkIRUeHh6ora3lZm6qlokEBASoPTBT9cP534TZTpLQlXcj3hHM7+0m/EuqflnDWFNak05N99Kl3ND6+urT9cvetWtXY5rTCJV977//vlH0NXW384aTcEQiEUpKSgRf5M2BapcQFxcXbuC8PtbW1oKb/vbu3VtQn9ALVNU6NgaHDx/GkSNH8O677+p1/cKFCxu1KADo5JyAOoc9b968Jm9krK6npmPHjvj+++9hbW3dyOH7+vry1l01dUcXdXh7ewuucwoICGjkeJ2cnPTef9LSsfitjmacnc0LK5JX4dfs37i4YQCgNtaUFpK15etabmh9Y+sTiUTc9HVTYOznVSGXy/U67yc9PR0ODg5atxkyFiNHjsSkSZPQtm1bnbq4zIHQ0FC9ln/4+/vDyspKsIXcFH788cdGM2T1xdraGv7+/mqnO7u5ufE27m3OVoyXlxc3Y0/Fk08+qdP2Yq0Ri3dQeVV5uPH3dfwyZze2P/Yd3nt0FRaMehmXL15CUXUR9m7bg1HtRmJ88FiMDx6LgIAAvD9/DVJSUlBUXTdj6sbtGxCJRJDL5RgfPBZyuRxyuRwHdvFfnKr6DVGX37B8+vTp8Pb2Rps2bdCxY0d89dVXXJ3q6mqMHz8e/v7+eNJnhNZt+jXp2rp1K/cMcrkc4zqMgUgkwoULFzTqbE5mzZqldp2Mtr+fvpSVlem04aopyMvLw5QpU9C2bVs4Ojri0Ucf5db/9evXD87Ozhg1ahS+/fZbiEQipKena9SnGo+ws7NDp06dGi3qvH37NkaOHAkHBwe4ubnh1Vdf5co0fXcA4KuvvkJQUBDkcjmGDx/O7bMHAB9++CE6d+6MkJAQlJWVCW5zZQqM/bk+//zzvG2U6vP0009j1qxZvE2gmwuxWNzoWJKgoCCkpaU1+73NEYt3ULUPa3Dxjb/Rfqw/Bu0bihm/PYOnXhoDifU/feNBXYOx6cpX2HhpEw4fPgxrW2t069YNmTf4655KSkqw6cpXKCsrQ1lZGXqONG5X2xtvvIH09HQ8ePAA+/btw1tvvcVzGn369MH3338PR3ftA8+adE2bNo17hrKyMsx4ZyYCAwObvavOXDBVy6cplJWVoXv37rhw4QKKioowc+ZMjBgxgttVQCwWY/jw4Tq/BKdMmYIuXbqgsLAQ7777Lre1FVD3Y2fIkCEYNGgQ7t27h8zMTN6Yj6bvzvHjx7FkyRLs3bsXRUVFCAgIwJQpU7hrGWOIi4tDcXExDh48iPXr1+OHH34w1p/JLHF1dcXMmTOxdu1avY4gMQbqjsRp7Vj8UyuyFRCJROgwNBj21vZwtHdEj4E90L6TH2QSGazF1hBDDJlEBntre3To0AHPr56L/v37Y9+6umazrdiW0yeTyATTQrK2/IblYWFh3AC4ataeausla2trvPzyy+jTp49OA8+adDXkzK6/MGPGjCZ1Tfz2228IDAyEm5sbFi9ezFup/8033yA0NBTOzs4YNmwYt/MGYwwLFiyAh4cHt29acnIyNm3ahK1bt+KDDz6AXC5vNBNP9fcRiUT45JNPmnxf1bWfffYZgoODuS2O6ndV3r9/HzNmzIC7uzv8/PywatUqTrdCocArr7wCNzc3BAYG8rbXMRaBgYFYuHAhvL29uUXS1dXVuHHjBoC6XSNeeOEFbqagJlJSUnDx4kWsWLECMpkM48aNQ3h4OOfcNm/ejLZt22LhwoWwt7eHra0tb5KFpu/Or7/+igkTJiAsLAzW1tZYunQpTp48yZW/+uqr6Nq1K6RSKUJCQjB69GiNe8ad3nUKCx99GS90mdtozOr8+fPo3bs3nJyc4O3tjXnz5qG6uu5stRdffJHb8UPFqFGjsHbtWgB145U+Pj5wcHBASEiIznu76cvUqVMxatQojBo1qlnvow4nJ6d/57Edppzrri+a1kHdv3+fubi4sBkzZrDffvuNFRUV8cq//fZb9uijjza67uuvv2YeHh6MMcbS0tIYAFZTU6OTPXPnzmWOjo6CITw8XOu1MpmMAWBdunTh1oHUx8fHhx07dkwnO7TpSk9PZ2KxmN2+fVunZ2OMMQBswIABrLCwkN25c4cFBwezL7/8kjHG2J49e1iHDh3Y1atXWU1NDXvnnXdY7969GWOMHTx4kHXt2pUVFxczpVLJrl69yrKzsxljjM2cOZO9+eabzXJf1bWPPfYYKywsZOXl5VxeamoqY4yxp59+mo0aNYo9ePCApaWlseDgYG6tz4YNG1hISAjLyMhghYWFbMCAARq/DyNGjFD7+Y8YMUKnv3FCQgKzsbFptC5KtaZLtX5JiF27drFOnTrx8l588UU2b948xhhjzzzzDJs+fTobPnw4c3V1Zf3792eXLl3i1Vf33Vm0aBGbO3cuVy8zM5MBYHv27Glkh1KpZFFRUWzDhg2Cdl65coXZ2NmwN354k311/Ru2YMECJpFI2KFDhxhjjMXHx7MzZ86wmpoalpaWxjp16sTWrl3LGGPs3LlzzNvbm1v3lZ+fz2QyGbt37x67fv068/X1ZVlZWYyxuv/fmzdvqv17tQaUSqXO7ydLRN073uId1P+uf8wW73+NRT/VnTl6OjKxRMz6D+/PNl34iiUWJ7EVn61kUT2jWGJxEkssTmKMMZZYnMQOHDjApFIpY4yx/Um/MQDM0dGRyds4cC+bXWd38+6lur4h6vLVldfW1rI///yTvfPOO7xFgCo82nro5KB00bVy5UrW7dFonXSpAMAOHDjAyZ999hkbNGgQY6xuwafqxc5Y3cJRmUzG0tPT2ZEjR1hwcDA7c+YMb0EpY5odlOrvo+99Vdc2XMSoclC1tbXMysqKXblyhSvbuHEj69+/P2OMsYEDB/Jesr///nuTfrA0lfv377POnTsLLlzWxUHFxcWxnj178vKWLFnCZs6cyRhjbMiQIUwqlbLffvuNVVVVsQ8++IAFBARwC69VCH13Dh06xFxdXVlSUhIrLy9nMTExTCQSsW3btjWy4+2332YRERHcYvGGrFixgvUc2ZNbqFtWVsasrKw4B9WQtWvXsqeeeoqTO3XqxP744w/GWN3i9scff5wxxlhqaipzd3dnhw4dEvzOE5aH2SzUNTaH7h3BJftkuL7sgV4/9sHEH6fgTlYGPnjjfSSVXMLd8rt4qChHUsklJJXULbhLKrmErKws2DnWrQu59qDubKOCggJ8lvQ5SkpK6nZ59uQf66y6viHq8tWVSyQS9OnTB5mZmYLb3tQodT/RVZuuuLg4RI3uInClZuovXPXz8+MGyu/cuYP58+fDyckJTk5OcHFxAWMMWVlZGDRoEObNm4cXX3wRHh4eiImJ0elohPp/H33uK3RtfQoKClBTU8NbN+bn58ddm52d3ei+zUVFRQWefPJJ9OrVS+81ZHK5vNHfVbULPFC3L12fPn3w+OOPw9raGq+88krdZscNztcS+u489thjWLFiBcaNGwd/f3/4+/vDwcGh0fqh9evXIy4uDvv372+0bktFdnY2XLz/mRlnb2/PmymXkpKCkSNHwsvLC23atMGSJUtQUFDAlc+cOZM7FuX777/H008/DaBu0kBsbCyWL18ODw8PTJ48mTeRg2g9WLyDaoizvzP6jOuLoluaj8HevXs3OnYP0esezz//PG+WXEzYHC7dlF0xamtr1Y4bNRUhXadPn0Z2dja6P659XKMh9fdLzMjIQNu2bQHUOYEvvviCc+IlJSWoqKjgdpp46aWXcOHCBVy9ehUpKSncLC9dx7/0va+me7i5ucHKyoo3ZpWRkcHtAent7d3ovpp4/PHHeZ9//fD444+rva6qqgpPPfUUfH19ufO19CEsLAy3b9/mnSKblJTEffdUO9TrSsPvzosvvojU1FTk5uZi3LhxqK2t5e1E8s0332DNmjU4cuSI4MJXFd7e3ijK+ef/sLy8nHfcxty5c9GpUyekpqbiwYMHWL16NW8SwvTp07F3714kJSXh2rVreOqpp7iyqVOn4tSpU7hz5w5EIhFee+01nZ+XsBws3kGV3SlD+o+3UZlXt6t52b1SnP3lDDzDG28xpFQokZaWhu+WxeH48eN4av4Yve65ceNG3iy5+jP/rly5InhNXl4efvjhB5SVlUGhUOD333/H9u3bMXjwYK5OVVUVt8t5dXU1KisrBWcN6aILqNsheNy4cZDJ+ZM4Nm/ezDvkTogPP/wQxcXFuHv3LtatW4dJkyYBqHPO7733Hvec9+/fx08//QSg7nDFc+fOoaamhhucV80+8vT01GlNkj731YZEIsHEiRPx5ptvorS0FHfu3MHHH3/MzWybOHEiPvnkE2RmZqK4uFjrKc8HDhzgff71w4EDBwSvqampwfjx4yGTybBlyxbBWVmVlZXcYYX1vwsN6dixI6KiorBixQpUVlZi9+7duHTpErcLx/Tp03H27FkcPnwYCoUCsbGxcHNzQ2hoqNbvTmVlJZKTk8EYQ0ZGBmJiYjB//nxuk+GtW7diyZIlOHTokNap3uPHj0fi0USk/H0DtdW1ePvtt3kD/aptg+RyOa5fv96oB8DX1xfdu3fH008/Xfc9/v8LZG/cuIGjR4+iqqoKtra2kMlk/9pZbq0e0/Uy6o+mMaj9l39jj41+jLl7uTNbO1vm6e3JZjw7k13MTGAFlYXs002fMrFYzOzt7ZmdnR1r3749mzRtErt69SorqKzb6PLi9QQGgNnb2/PCyvff4d1LVb8h6vLrl+fl5bF+/foxR0dH5uDgwDp37sw2bdrEq+fn58cA8IJqLOLdd99lw4cPZ4wxnXRVVFQwR0dHdvjw4Ub2rVy5kk2dOlWtvQDYunXrWEBAAHNxcWELFy5ktbW1XHlcXBzr3Lkzc3BwYL6+vtxGmIcPH2bh4eHM3t6eubq6sqlTp3KD7ykpKSwyMpI5Ojqy0aNHC/799L2v6lrVhAihvKKiIjZt2jTm5ubGfH192YoVK7hxspqaGvbyyy8zFxcX5u/vz9avX2/0Majjx48zAEwmk/G+YydPnuTZ2zCo+O9//8v++9//cnJaWhrr378/s7W1ZR07dmw0rrNz507WoUMH5uDgwPr3789tyKztu1NcXMzCw8OZnZ0d8/T0ZK+//jrvM/D392dSqZT3DPXtashz/4thLm1dmb2TnK1atYr5+flxtp44cYKFhIQwe3t71qdPH7Z06dJGE5q+++47BoAdPXqUy0tKSmLdu3dncrmcOTs7sxEjRnATJgjLRN07XsRYC03sbwLR0dGCG6YCQHwhf/Gpk7UTnK2dUVxdDGdr50b1XW1cUFhVJBgDUJsWkrXl61puaP2m6hs6dCjWrVuH0NBQo93DEFT2iUQipKamIiioaXsXEuZLXPr3XHqG/3QNNYU5efIkpk+fznXlEa0Tde94i28Xv5W8jBc+TonF/pzfuLhhAKA21pQWkrXl61puaP2m6vvjjz/MxjkBxn9eonVQU1ODdevWYc6cOeSc/qVYvIMiCKL1ce3aNTg5OSEnJwcvv/xyS5tDtBAWv5s50XqwgN5mwkSEhobi4cOHLW0G0cJYxBiUXC7nDmxrreTn56s996m1QM/YOmjtz9janw8wv2dMT0/nrYFTYREtqE6dOqmdJNFa0DQRpLVAz9g6aO3P2NqfD7CcZ6QxKIIgCMIsIQdFEARBmCUW4aBiYmJa2oRmh56xdUDPaPm09ucDLOcZLWKSBEEQBPHvwyJaUARBEMS/D3JQBEEQhFli1g7q4MGDCAkJQVBQkNYdpi0Vf39/hIeHIyoqCtHR0S1tjtGYPXs2PDw8eMc0FBUVYciQIQgODsaQIUNQXFzcghYahtDzLV++HD4+PoiKikJUVBR++82yt3C6e/cuBg4ciEceeQRhYWFYt24dgNb1Oap7xtb0WVZWVqJHjx6IjIxEWFgYli1bBgBIS0tDz549ERQUhEmTJqG6urqFLRXAVLvVNpXa2loWGBjIbt26xaqqqlhERATvRNTWgp+fH8vPz29pM4zOiRMn2IULF1hYWBiXt3jxYvbee+8xxhh777332KuvvtpS5hmM0PMtW7aMffjhhy1olXHJzs5mFy5cYIwx9uDBAxYcHMyuXLnSqj5Hdc/Ymj5LpVLJnSpQXV3NevTowc6cOcMmTJjAtm/fzhir2y3/888/b0kzBTHbFtT58+cRFBSEwMBAWFtbY/Lkydi7d29Lm0XoSL9+/eDiwt+Rfe/evZg5cyaAutNS9+zZ0wKWGQeh52tteHt7o2vXrgAABwcHhIaGIisrq1V9juqesTUhEokgl8sB1G3AW1NTA5FIhKNHj2L8+PEAzPdzNFsHlZWVxTuG29fXt9V9cYC6L8/QoUPRrVs3bNq0qaXNaVZyc3Ph7e0NAPDy8kJubm4LW2R81q9fj4iICMyePduiu74akp6ejoSEBPTs2bPVfo71nxFoXZ+lQqFAVFQUPDw8MGTIEHTo0AFOTk6QSus2EzLX96vZOqh/C6dOncLFixdx4MABfPbZZzh58mRLm2QSRCJRqztCYe7cubh16xYSExPh7e2NRYsWtbRJRqGsrAzjxo1DbGws2rRpwytrLZ9jw2dsbZ+lRCJBYmIiMjMzcf78eVy/fr2lTdIJs3VQPj4+uHv3LidnZmbCx8enBS1qHlTP5OHhgTFjxuD8+fMtbFHz4enpiZycHABATk4OPDw8Wtgi4+Lp6QmJRAKxWIznnnuuVXyWNTU1GDduHKZNm4axY8cCaH2fo7pnbG2fJQA4OTlh4MCBOHPmDEpKSlBbWwvAfN+vZuugunfvjtTUVKSlpaG6uho//PADRo0a1dJmGZWHDx+itLSUS//xxx+8WWGtjVGjRmHLli0AgC1btmD06NEtbJFxUb20AWD37t0W/1kyxvDss88iNDQUCxcu5PJb0+eo7hlb02eZn5+PkpISAEBFRQUOHTqE0NBQDBw4ED///DMAM/4cW3qWhib279/PgoODWWBgIFu1alVLm2N0bt26xSIiIlhERAR75JFHWtUzTp48mXl5eTGpVMp8fHzYV199xQoKCtigQYNYUFAQGzx4MCssLGxpM/VG6PmmT5/OOnfuzMLDw9mTTz7JsrOzW9pMg/jzzz8ZABYeHs4iIyNZZGQk279/f6v6HNU9Y2v6LJOSklhUVBQLDw9nYWFhbMWKFYyxuvdP9+7dWYcOHdj48eNZZWVlC1vaGNrqiCAIgjBLzLaLjyAIgvh3Qw6KIAiCMEvIQREEQRBmCTkogiAIwiwhB0UQBEGYJeSgCKIBEokEUVFR6Ny5MyZMmIDy8nKdr83Ozub2N9OVAQMGID4+XrBs/PjxuH37dqP8zZs3Y968eU26jyYuX76MWbNmGU0fQRgDclAE0QCZTIbExEQkJyfD2toaGzdu1Om62tpatG3bllv8aChXrlyBQqFAYGCgUfRpIjw8HJmZmcjIyGj2exGErpCDIggN9O3bFzdv3sTDhw8xe/Zs9OjRA126dOF21t+8eTNGjRqFQYMGYfDgwUhPT+d2HaisrMQzzzyD8PBwdOnSBceOHQNQt5p/8uTJCA0NxZgxY1BRUSF4761bt/JW93/77bfo2LEjevTogdOnT3P5v/zyC3r27IkuXbrgscceQ25uLpRKJYKDg5Gfnw8AUCqVCAoKQn5+Pn766Sd07twZkZGR6NevH6fnySefxA8//GDcPyBBGAA5KIJQQ21tLQ4cOIDw8HC8++67GDRoEM6fP49jx45h8eLFePjwIQDg4sWL+Pnnn3HixAne9Z999hlEIhEuX76M7du3Y+bMmaisrMSGDRtgZ2eHa9euYcWKFbhw4YLg/U+fPo1u3boBqNt6Z9myZTh9+jROnTqFq1evcvX69OmDs2fPIiEhAZMnT8YHH3wAsViM6dOnY+vWrQCAw4cPIzIyEu7u7li5ciV+//13JCUlYd++fZye6Oho/Pnnn0b9GxKEIZCDIogGVFRUcCcct2/fHs8++yz++OMPrFmzBlFRURgwYAAqKyu57rAhQ4YIng116tQpTJ8+HQDQqVMn+Pn5ISUlBSdPnuTyIyIiEBERIWhHTk4O3N3dAQDnzp3DgAED4O7uDmtra0yaNImrl5mZiWHDhiE8PBwffvghrly5AqDu1N+4uDgAwDfffINnnnkGAPDoo49i1qxZ+PLLL6FQKDg9Hh4eyM7ONuhvRxDGRNrSBhCEuaEag6oPYww7d+5ESEgIL//cuXOwt7dvNjsqKyu11vu///s/LFy4EKNGjcLx48exfPlyAEC7du3g6emJo0eP4vz581xrauPGjTh37hz279+Pbt264cKFC3B1dUVlZSVkMlmzPAtB6AO1oAhCB4YNG4ZPP/0Uqq0rExIStF7Tt29fzimkpKQgIyMDISEh6NevH7Zt2wYASE5OxqVLlwSvDw0Nxc2bNwEAPXv2xIkTJ1BYWIiamhr89NNPXL379+9zRyWodhlXMWfOHEyfPh0TJkyARCIBANy6dQs9e/bEypUr4e7uzh1rk5KSYtG7dhOtD3JQBKEDS5cuRU1NDSIiIhAWFoalS5dqveaFF16AUqlEeHg4Jk2ahM2bN8PGxgZz585FWVkZQkND8fbbb3PjTA0ZMWIEjh8/DqDuaPLly5ejd+/eePTRRxEaGsrVW758OSZMmIBu3brBzc2Np2PUqFEoKyvjuvcAYPHixQgPD0fnzp3xn//8B5GRkQCAY8eOYcSIEU390xBEs0G7mROEmVJRUYGBAwfi9OnTXOunqcTHx2PBggVaJz9UVVWhf//+OHXqFHcMOEG0NNSCIggzRSaTYcWKFcjKytLr+jVr1mDcuHF47733tNbNyMjAmjVryDkRZgW1oAiCIAizhFpQBEEQhFlCDoogCIIwS8hBEQRBEGYJOSiCIAjCLCEHRRAEQZgl/w/LnQDQUO4x1QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fulmar.perioplot(perio_results1, lc_targ.K2, folder=\"K2-109/\", pl_n=1, maxper=None, savefig=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c443af3e-7aa2-4f4d-8a13-20de3cd2f485",
   "metadata": {},
   "source": [
    "#### Plot the resulting model to have a quick visual check"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "8e8d4060-7872-4024-ab9c-14bae045b5be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fulmar.modelplot(lc_targ.tls_results)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2376ef39-bf58-477b-b29c-d145509d3d69",
   "metadata": {},
   "source": [
    "#### Optimize the transit parameters. **_Be careful it assumes circular orbit_**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "2725e533-0a30-44de-886a-7bc75fe56d98",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running on 8 cores\n",
      "mean           -3.22\n",
      "log_ror        -3.22\n",
      "log_period     -0.92\n",
      "t0             -0.92\n",
      "log_dur        -3.22\n",
      "b_impact__     -1.39\n",
      "obs           215.17\n",
      "Name: Log-probability of test_point, dtype: float64\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "optimizing logp for variables: [log_dur, b, log_ror]\n"
     ]
    },
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     "text": [
      "message: Optimization terminated successfully.\n",
      "logp: 202.27788474824652 -> 329.8381013996262\n",
      "optimizing logp for variables: [mean]\n"
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "message: Optimization terminated successfully.\n",
      "logp: 329.8381013996262 -> 329.9332573296841\n",
      "optimizing logp for variables: [b, log_dur, t0, log_period, log_ror, mean]\n"
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "message: Desired error not necessarily achieved due to precision loss.\n",
      "logp: 329.9332573296841 -> 335.29514335086077\n",
      "optimizing logp for variables: [b, log_dur, t0, log_period, log_ror, mean]\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "message: Desired error not necessarily achieved due to precision loss.\n",
      "logp: 202.27788474824652 -> 335.2951433508669\n",
      "Multiprocess sampling (2 chains in 8 jobs)\n",
      "NUTS: [b, log_dur, t0, log_period, log_ror, mean]\n"
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       "    /* Turns off some styling */\n",
       "    progress {\n",
       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
       "    }\n",
       "</style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "      <progress value='10000' class='' max='10000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [10000/10000 00:56<00:00 Sampling 2 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 2 chains for 2_500 tune and 2_500 draw iterations (5_000 + 5_000 draws total) took 58 seconds.\n",
      "The number of effective samples is smaller than 25% for some parameters.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p, t0, dur, depth, ab, flat_samps = fulmar.params_optimizer(lc_targ.ts_clean, lc_targ.tls_results.period, lc_targ.tls_results.T0, 1-lc_targ.tls_results.depth, lc_targ.ab, lc_targ.R_star, lc_targ.K2, tran_window=0.25, ncores=None, mask=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e9336f8-307c-452f-865e-dcd86a667e3c",
   "metadata": {},
   "source": [
    "#### Mask intransit data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b25ac330-a7c2-42e6-a7d3-ee99e60cfb04",
   "metadata": {},
   "outputs": [],
   "source": [
    "intransit = transit_mask(lc_targ.ts_clean.time.value, p, 1.3*dur, t0) # True when datapoints are in transit"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e086ac4-df58-418a-9c0c-5e9c90aae815",
   "metadata": {},
   "source": [
    "#### Combine intransit mask with the initial mask"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2c408967-2a08-4786-9753-d68db736ae56",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1_mask = np.logical_or(debut_mask, intransit)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20e25b89-3347-4b77-a796-2ad2e7a130af",
   "metadata": {},
   "source": [
    "#### Plot the lightcurve with transits highlighted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "6e51fe74-8211-4958-8f40-11e1887c4ba4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(lc_targ.ts_clean.time.value, lc_targ.ts_clean['flux'],'k.', markersize=1.8, alpha = 0.25)\n",
    "plt.plot(lc_targ.ts_clean.time.value[intransit], lc_targ.ts_clean['flux'][intransit],'o', color='xkcd:green', markersize=4.8, alpha = 0.5)\n",
    "\n",
    "plt.xlabel('Time [{}]'.format(str(lc_targ.ts_stitch.time.format).upper()))\n",
    "plt.ylabel('Flux')\n",
    "#plt.xlim(2749,2752)\n",
    "# plt.ylim(0.985,1.015)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b1252cc-b3f6-446f-89d6-d55268ba4af9",
   "metadata": {},
   "source": [
    "### Look for the second exoplanet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "92bebbb2-d192-4c7d-b3c1-812543603588",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Transit Least Squares TLS 1.0.31 (22 Nov 2021)\n",
      "Creating model cache for 44 durations\n",
      "Searching 2318 data points, 5707 periods from 0.9 to 33.099 days\n",
      "Using all 8 CPU threads\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████████████████████████████████████████████████████████████| 5707/5707 periods | 00:17<00:00\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Searching for best T0 for period 9.55586 days\n"
     ]
    }
   ],
   "source": [
    "perio_results2 = lc_targ.tls_periodogram(cleaned=True, n_transits_min=2, period_min=0.9, mask=p1_mask) "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a8a1281-c971-4001-b384-73d9b8c978a1",
   "metadata": {},
   "source": [
    "#### Plot the TLS periodogram "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "61ba219c-10a9-46ca-9cbb-0b7293c82fac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fulmar.perioplot(perio_results2, lc_targ.K2, folder=\"K2-109/\", pl_n=2, maxper=None, savefig=False)\n",
    "# perioplot(results, lc_targ.K2, folder=\"K2-109/\", num=1, maxper=50, savefig=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "d97ca5e2-9e6d-4e48-bc84-54eb4ab603f4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fulmar.modelplot(lc_targ.tls_results)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0bbf3ca9-1f11-4128-a8ff-ad5a6043c46d",
   "metadata": {},
   "source": [
    "#### Visualize where the transits lay in the lightcurve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "6a7bb7ba-3ef3-4d87-a318-35d2c7f9f1b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(lc_targ.ts_clean.time.value[~debut_mask], lc_targ.ts_clean['flux'][~debut_mask],'ko', markersize=1.8, alpha = 0.2)\n",
    "\n",
    "plt.xlabel('Time [{}]'.format(str(lc_targ.ts_stitch.time.format).upper()))\n",
    "plt.ylabel('Flux')\n",
    "#plt.xlim(2749,2752)\n",
    "# plt.ylim(0.985,1.015)\n",
    "\n",
    "for n in perio_results1.transit_times:\n",
    "    plt.axvline(n, alpha=0.4, lw=2, ymax=0.15, color='xkcd:green')\n",
    "for n in perio_results2.transit_times:\n",
    "    plt.axvline(n, alpha=0.3, lw=2, ymax=0.45, color='xkcd:orange')\n",
    "\n",
    "plt.title(lc_targ.K2)\n",
    "\n",
    "plt.ylim(0.9985,1.00028)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "afae2cf4-0d71-46d4-8e22-f5c635b72298",
   "metadata": {},
   "source": [
    "#### Optimize the transit parameters. **_Be careful it still assumes circular orbit_**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "85fe4990-a141-40b4-b989-8bf8c3877c26",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running on 8 cores\n",
      "mean           -3.22\n",
      "log_ror        -3.22\n",
      "log_period     -0.92\n",
      "t0             -0.92\n",
      "log_dur        -3.22\n",
      "b_impact__     -1.39\n",
      "obs           951.62\n",
      "Name: Log-probability of test_point, dtype: float64\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "optimizing logp for variables: [log_dur, b, log_ror]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "    /* Turns off some styling */\n",
       "    progress {\n",
       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
       "    }\n",
       "</style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "      <progress value='34' class='' max='34' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [34/34 00:00<00:00 logp = 9.923e+02]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "message: Optimization terminated successfully.\n",
      "logp: 938.7314070773815 -> 992.3434057514368\n",
      "optimizing logp for variables: [mean]\n"
     ]
    },
    {
     "data": {
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       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
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       "      <progress value='4' class='' max='4' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [4/4 00:00<00:00 logp = 9.979e+02]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
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     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "message: Optimization terminated successfully.\n",
      "logp: 992.3434057514368 -> 997.8685515283529\n",
      "optimizing logp for variables: [b, log_dur, t0, log_period, log_ror, mean]\n"
     ]
    },
    {
     "data": {
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       "\n",
       "<style>\n",
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       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
       "    }\n",
       "</style>\n"
      ],
      "text/plain": [
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     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
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       "\n",
       "    <div>\n",
       "      <progress value='118' class='' max='118' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [118/118 00:00<00:00 logp = 1.006e+03]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
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     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "message: Desired error not necessarily achieved due to precision loss.\n",
      "logp: 997.8685515283529 -> 1005.5500559403897\n",
      "optimizing logp for variables: [b, log_dur, t0, log_period, log_ror, mean]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "    /* Turns off some styling */\n",
       "    progress {\n",
       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
       "    }\n",
       "</style>\n"
      ],
      "text/plain": [
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     "metadata": {},
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    {
     "data": {
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       "\n",
       "    <div>\n",
       "      <progress value='119' class='' max='119' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [119/119 00:00<00:00 logp = 1.005e+03]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "message: Desired error not necessarily achieved due to precision loss.\n",
      "logp: 938.7314070773815 -> 1005.3873774223697\n",
      "Multiprocess sampling (2 chains in 8 jobs)\n",
      "NUTS: [b, log_dur, t0, log_period, log_ror, mean]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "    /* Turns off some styling */\n",
       "    progress {\n",
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       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
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       "</style>\n"
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       "\n",
       "    <div>\n",
       "      <progress value='10000' class='' max='10000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [10000/10000 01:24<00:00 Sampling 2 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
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     },
     "metadata": {},
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 2 chains for 2_500 tune and 2_500 draw iterations (5_000 + 5_000 draws total) took 86 seconds.\n",
      "The number of effective samples is smaller than 10% for some parameters.\n"
     ]
    },
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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_1, t0_1, dur_1, depth_1, ab_1, flat_samps_1 = fulmar.params_optimizer(lc_targ.ts_clean, lc_targ.tls_results.period, lc_targ.tls_results.T0, 1-lc_targ.tls_results.depth, lc_targ.ab, lc_targ.R_star, lc_targ.K2, tran_window=0.25, ncores=None, mask=~p1_mask)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c9fa038-284f-43ec-a3f8-aaa44b19fcaa",
   "metadata": {},
   "source": [
    "#### Mask intransit data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "49990195-824a-4e92-8a13-616988fa9ce7",
   "metadata": {},
   "outputs": [],
   "source": [
    "intransit2 = transit_mask(lc_targ.ts_clean.time.value, p_1, 1.3*dur_1, t0_1) # True when datapoints are in transit"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bcf8f9e8-da21-4689-bfdf-c275ddf038e9",
   "metadata": {},
   "source": [
    "#### Combine intransit mask with the initial mask"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "455f217b-3dbd-4821-811d-5f6be20f007b",
   "metadata": {},
   "outputs": [],
   "source": [
    "p2_mask = np.logical_or(p1_mask, intransit2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e8b64d2c-36ac-4bb4-8757-aa0162659f7d",
   "metadata": {},
   "source": [
    "#### Plot the lightcurve with transits highlighted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "5c894278-25ed-4b74-9b0d-31aeeb6564ad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(lc_targ.ts_clean.time.value[~debut_mask], lc_targ.ts_clean['flux'][~debut_mask],'k.', markersize=1.8, alpha = 0.25)\n",
    "plt.plot(lc_targ.ts_clean.time.value[intransit2], lc_targ.ts_clean['flux'][intransit2],'o', color='xkcd:orange', markersize=4.8, alpha = 0.25, label='K2-109b')\n",
    "plt.plot(lc_targ.ts_clean.time.value[intransit], lc_targ.ts_clean['flux'][intransit],'o', color='xkcd:green', markersize=4.8, alpha = 0.25, label='K2-109c')\n",
    "\n",
    "\n",
    "plt.xlabel('Time [{}]'.format(str(lc_targ.ts_stitch.time.format).upper()))\n",
    "plt.ylabel('Flux')\n",
    "#plt.xlim(2749,2752)\n",
    "# plt.ylim(0.985,1.015)\n",
    "plt.title(lc_targ.K2)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e343c407-b815-4e1f-b65e-e652ecb8699e",
   "metadata": {},
   "source": [
    "### Look for a possible third exoplanet ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "0d80f4fb-284c-44da-aa3e-69c515e78d03",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Transit Least Squares TLS 1.0.31 (22 Nov 2021)\n",
      "Creating model cache for 44 durations\n",
      "Searching 2266 data points, 6881 periods from 0.602 to 33.099 days\n",
      "Using all 8 CPU threads\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████████████████████████████████████████████████████████████| 6881/6881 periods | 00:15<00:00\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Searching for best T0 for period 12.50044 days\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " /home/jrodrigues/testenv/lib64/python3.9/site-packages/transitleastsquares-1.0.31-py3.9.egg/transitleastsquares/stats.py:458: RuntimeWarning: divide by zero encountered in double_scalars"
     ]
    }
   ],
   "source": [
    "perio_results3 = lc_targ.tls_periodogram(cleaned=True, n_transits_min=2, mask=p2_mask)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "709ec33f-2e23-4305-a7ca-b6f532b770bd",
   "metadata": {},
   "source": [
    "#### Plot the TLS periodogram "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "39c13273-09a2-41e2-9162-16100cdf619c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fulmar.perioplot(perio_results3, lc_targ.K2, folder=\"K2-109/\", pl_n=3, maxper=None, savefig=False)\n",
    "# perioplot(results, lc_targ.K2, folder=\"K2-109/\", num=1, maxper=50, savefig=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "4a18bfb3-db16-42bc-9924-1bd3f39eaccb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fulmar.modelplot(lc_targ.tls_results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "3b80d3a2-4da3-4d02-b0fa-80c59f579700",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7.933769512184782, 0.00160064)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "perio_results3.SDE, perio_results3.FAP"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac8fda7e-c384-4746-856b-355c8e23525c",
   "metadata": {},
   "source": [
    "**SDE < 9**, which is the normally accepted threshold for a detection. We can end it there, as we can assume the system only contains two planets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "24f4271c-cd1b-40a7-8eab-4648c84f73f5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In the paper, K2-109b period is announced to be 9.55237 days, in our quick look we found it at 9.55405.\n",
      "Regarding K2-109c, the paper announces 21.05704 days, we found 21.05469. \n",
      "Not bad !\n"
     ]
    }
   ],
   "source": [
    "print(\"In the paper, K2-109b period is announced to be 9.55237 days, in our quick look we found it at {0:.5f}.\\nRegarding K2-109c, the paper announces 21.05704 days, we found {1:.5f}. \\nNot bad !\".format(p_1, p))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a5cb6915-3ea8-4dc9-9a22-30e91e7da086",
   "metadata": {},
   "source": [
    "## Print version of Fulmar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "2778b0cc-e3c7-4036-9d03-6e301c1452a2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fulmar 0.1.8 (5 Apr 2022)\n"
     ]
    }
   ],
   "source": [
    "fulmar.utils.print_version()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "testenv",
   "language": "python",
   "name": "testenv"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.9"
  },
  "toc-autonumbering": true,
  "toc-showmarkdowntxt": true
 },
 "nbformat": 4,
 "nbformat_minor": 5
}