{
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"CT-6: Determining the age of a star cluster"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The final phase of these computational tutorials is to determine the age of the star cluster you've chosen to study. Astronomers determine star cluster ages by finding the isochrone that best matches the observed star cluster data.\n",
"\n",
"If you skipped CT-5, download these M67 observed data and isochrone data to use in the following analysis. "
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Import Libraries"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Set up astropy and astroquery \n",
"from astropy.table import Table,Column\n",
"#from astropy.coordinates import SkyCoord, Distance, CartesianRepresentation\n",
"#from astropy import units as u\n",
"from astropy.io import ascii"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Physical Constants"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"M67_reddening = 0.059\n",
"M67_distMod = 9.97"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Read in tables"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"M67_iso = ascii.read('data/m67_isochrones.dat')\n",
"M67_iso"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<table id=\"table188397720\"><thead><tr><th>Z</th><th>log(age/yr)</th><th>M_ini</th><th>M_act</th><th>logL/Lo</th><th>logTe</th><th>logG</th><th>mbol</th><th>U</th><th>B</th><th>V</th><th>R</th><th>I</th><th>J</th><th>H</th><th>K</th><th>int_IMF</th><th>stage</th></tr></thead><tr><td>0.019</td><td>6.0</td><td>0.09</td><td>0.09</td><td>-1.3414</td><td>3.4341</td><td>3.422</td><td>8.123</td><td>14.3</td><td>13.336</td><td>11.982</td><td>10.328</td><td>8.411</td><td>6.121</td><td>5.566</td><td>5.157</td><td>1.46765435</td><td>0</td></tr><tr><td>0.019</td><td>6.0</td><td>0.1</td><td>0.1</td><td>-1.2408</td><td>3.4417</td><td>3.3975</td><td>7.872</td><td>13.845</td><td>12.906</td><td>11.571</td><td>9.966</td><td>8.085</td><td>5.877</td><td>5.316</td><td>4.924</td><td>1.57040203</td><td>0</td></tr><tr><td>0.019</td><td>6.0</td><td>0.1158868</td><td>0.1159</td><td>-1.1067</td><td>3.4516</td><td>3.3672</td><td>7.537</td><td>13.269</td><td>12.357</td><td>11.046</td><td>9.499</td><td>7.664</td><td>5.552</td><td>4.979</td><td>4.611</td><td>1.7140224</td><td>0</td></tr><tr><td>0.019</td><td>6.0</td><td>0.12</td><td>0.12</td><td>-1.0749</td><td>3.4539</td><td>3.3597</td><td>7.457</td><td>13.141</td><td>12.233</td><td>10.926</td><td>9.392</td><td>7.567</td><td>5.476</td><td>4.897</td><td>4.536</td><td>1.74782515</td><td>0</td></tr><tr><td>0.019</td><td>6.0</td><td>0.13960719</td><td>0.1396</td><td>-0.9418</td><td>3.4638</td><td>3.3319</td><td>7.124</td><td>12.617</td><td>11.72</td><td>10.438</td><td>8.954</td><td>7.167</td><td>5.157</td><td>4.554</td><td>4.219</td><td>1.89318299</td><td>0</td></tr><tr><td>0.019</td><td>6.0</td><td>0.14</td><td>0.14</td><td>-0.9392</td><td>3.464</td><td>3.3313</td><td>7.118</td><td>12.607</td><td>11.711</td><td>10.429</td><td>8.946</td><td>7.16</td><td>5.15</td><td>4.547</td><td>4.213</td><td>1.89584959</td><td>0</td></tr><tr><td>0.019</td><td>6.0</td><td>0.16</td><td>0.16</td><td>-0.8241</td><td>3.473</td><td>3.3102</td><td>6.83</td><td>12.178</td><td>11.282</td><td>10.027</td><td>8.582</td><td>6.823</td><td>4.877</td><td>4.244</td><td>3.935</td><td>2.0211525</td><td>0</td></tr><tr><td>0.019</td><td>6.0</td><td>0.20108072</td><td>0.2011</td><td>-0.6404</td><td>3.4906</td><td>3.296</td><td>6.371</td><td>11.523</td><td>10.59</td><td>9.354</td><td>7.973</td><td>6.28</td><td>4.455</td><td>3.757</td><td>3.491</td><td>2.22647381</td><td>0</td></tr><tr><td>0.019</td><td>6.0</td><td>0.23470959</td><td>0.2347</td><td>-0.6006</td><td>3.5001</td><td>3.3615</td><td>6.272</td><td>11.316</td><td>10.331</td><td>9.102</td><td>7.769</td><td>6.114</td><td>4.381</td><td>3.661</td><td>3.409</td><td>2.35701632</td><td>0</td></tr><tr><td>0.019</td><td>6.0</td><td>0.25695479</td><td>0.257</td><td>-0.5154</td><td>3.5092</td><td>3.3522</td><td>6.059</td><td>11.025</td><td>9.998</td><td>8.778</td><td>7.485</td><td>5.859</td><td>4.193</td><td>3.437</td><td>3.204</td><td>2.42988706</td><td>0</td></tr><tr><td>0.019</td><td>6.0</td><td>0.27576727</td><td>0.2758</td><td>-0.5026</td><td>3.5133</td><td>3.3864</td><td>6.027</td><td>10.95</td><td>9.891</td><td>8.663</td><td>7.394</td><td>5.795</td><td>4.173</td><td>3.411</td><td>3.183</td><td>2.48466825</td><td>0</td></tr><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><td>...</td><td>...</td></tr><tr><td>0.019</td><td>10.0</td><td>1.06063998</td><td>0.9589</td><td>3.2166</td><td>3.5106</td><td>0.1976</td><td>-3.271</td><td>4.025</td><td>2.189</td><td>0.625</td><td>-1.057</td><td>-3.029</td><td>-5.088</td><td>-5.991</td><td>-6.298</td><td>3.15640569</td><td>7</td></tr><tr><td>0.019</td><td>10.0</td><td>1.0606401</td><td>0.9588</td><td>3.2206</td><td>3.51</td><td>0.1912</td><td>-3.282</td><td>4.029</td><td>2.209</td><td>0.643</td><td>-1.048</td><td>-3.025</td><td>-5.099</td><td>-6.003</td><td>-6.311</td><td>3.15640569</td><td>7</td></tr><tr><td>0.019</td><td>10.0</td><td>1.06064022</td><td>0.9587</td><td>3.2239</td><td>3.5096</td><td>0.186</td><td>-3.29</td><td>4.031</td><td>2.224</td><td>0.658</td><td>-1.04</td><td>-3.02</td><td>-5.108</td><td>-6.013</td><td>-6.322</td><td>3.15640569</td><td>7</td></tr><tr><td>0.019</td><td>10.0</td><td>1.06064034</td><td>0.9586</td><td>3.2284</td><td>3.5089</td><td>0.1789</td><td>-3.301</td><td>4.034</td><td>2.246</td><td>0.678</td><td>-1.028</td><td>-3.012</td><td>-5.12</td><td>-6.026</td><td>-6.336</td><td>3.15640569</td><td>7</td></tr><tr><td>0.019</td><td>10.0</td><td>1.06064057</td><td>0.9585</td><td>3.2329</td><td>3.5083</td><td>0.1717</td><td>-3.312</td><td>4.038</td><td>2.268</td><td>0.699</td><td>-1.016</td><td>-3.005</td><td>-5.133</td><td>-6.04</td><td>-6.351</td><td>3.15640569</td><td>7</td></tr><tr><td>0.019</td><td>10.0</td><td>1.06064081</td><td>0.9584</td><td>3.2393</td><td>3.5074</td><td>0.1617</td><td>-3.328</td><td>4.043</td><td>2.3</td><td>0.729</td><td>-1.0</td><td>-2.994</td><td>-5.15</td><td>-6.059</td><td>-6.372</td><td>3.15640593</td><td>7</td></tr><tr><td>0.019</td><td>10.0</td><td>1.06064117</td><td>0.9582</td><td>3.2469</td><td>3.5063</td><td>0.1496</td><td>-3.347</td><td>4.049</td><td>2.338</td><td>0.765</td><td>-0.979</td><td>-2.981</td><td>-5.171</td><td>-6.081</td><td>-6.397</td><td>3.15640593</td><td>7</td></tr><tr><td>0.019</td><td>10.0</td><td>1.06064153</td><td>0.958</td><td>3.255</td><td>3.5051</td><td>0.1367</td><td>-3.368</td><td>4.056</td><td>2.38</td><td>0.804</td><td>-0.958</td><td>-2.967</td><td>-5.193</td><td>-6.106</td><td>-6.423</td><td>3.15640593</td><td>7</td></tr><tr><td>0.019</td><td>10.0</td><td>1.06064212</td><td>0.9576</td><td>3.2762</td><td>3.502</td><td>0.1029</td><td>-3.421</td><td>4.077</td><td>2.495</td><td>0.912</td><td>-0.896</td><td>-2.926</td><td>-5.252</td><td>-6.17</td><td>-6.493</td><td>3.15640616</td><td>7</td></tr><tr><td>0.019</td><td>10.0</td><td>1.0606426</td><td>0.9573</td><td>3.2989</td><td>3.4986</td><td>0.0664</td><td>-3.477</td><td>4.101</td><td>2.621</td><td>1.032</td><td>-0.824</td><td>-2.876</td><td>-5.313</td><td>-6.238</td><td>-6.568</td><td>3.15640616</td><td>7</td></tr><tr><td>0.019</td><td>10.0</td><td>1.06064272</td><td>0.9572</td><td>3.2993</td><td>3.4985</td><td>0.0658</td><td>-3.478</td><td>4.101</td><td>2.623</td><td>1.034</td><td>-0.823</td><td>-2.875</td><td>-5.314</td><td>-6.24</td><td>-6.569</td><td>3.1564064</td><td>8</td></tr></table>"
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"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"<Table rows=2255 names=('Z','log(age/yr)','M_ini','M_act','logL/Lo','logTe','logG','mbol','U','B','V','R','I','J','H','K','int_IMF','stage')>\n",
"array([ (0.019, 6.0, 0.09, 0.09, -1.3414, 3.4341, 3.422, 8.123, 14.3, 13.336, 11.982, 10.328, 8.411, 6.121, 5.566, 5.157, 1.46765435, 0),\n",
" (0.019, 6.0, 0.1, 0.1, -1.2408, 3.4417, 3.3975, 7.872, 13.845, 12.906, 11.571, 9.966, 8.085, 5.877, 5.316, 4.924, 1.57040203, 0),\n",
" (0.019, 6.0, 0.1158868, 0.1159, -1.1067, 3.4516, 3.3672, 7.537, 13.269, 12.357, 11.046, 9.499, 7.664, 5.552, 4.979, 4.611, 1.7140224, 0),\n",
" ...,\n",
" (0.019, 10.0, 1.06064212, 0.9576, 3.2762, 3.502, 0.1029, -3.421, 4.077, 2.495, 0.912, -0.896, -2.926, -5.252, -6.17, -6.493, 3.15640616, 7),\n",
" (0.019, 10.0, 1.0606426, 0.9573, 3.2989, 3.4986, 0.0664, -3.477, 4.101, 2.621, 1.032, -0.824, -2.876, -5.313, -6.238, -6.568, 3.15640616, 7),\n",
" (0.019, 10.0, 1.06064272, 0.9572, 3.2993, 3.4985, 0.0658, -3.478, 4.101, 2.623, 1.034, -0.823, -2.875, -5.314, -6.24, -6.569, 3.1564064, 8)], \n",
" dtype=[('Z', '<f8'), ('log(age/yr)', '<f8'), ('M_ini', '<f8'), ('M_act', '<f8'), ('logL/Lo', '<f8'), ('logTe', '<f8'), ('logG', '<f8'), ('mbol', '<f8'), ('U', '<f8'), ('B', '<f8'), ('V', '<f8'), ('R', '<f8'), ('I', '<f8'), ('J', '<f8'), ('H', '<f8'), ('K', '<f8'), ('int_IMF', '<f8'), ('stage', '<i4')])"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"M67_obs = ascii.read('data/m67.tab', delimiter='\\t')\n",
"M67_obs"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<table id=\"table188533896\"><thead><tr><th>No</th><th>Ref</th><th>V</th><th>B-V</th><th>U-B</th><th>N</th></tr></thead><tr><td>1</td><td>1367</td><td>13.59</td><td>0.57</td><td>0.06</td><td>2</td></tr><tr><td>3</td><td>1367</td><td>12.89</td><td>0.54</td><td>0.08</td><td>2</td></tr><tr><td>4</td><td>1367</td><td>12.77</td><td>0.95</td><td>0.69</td><td>1</td></tr><tr><td>5</td><td>1367</td><td>13.05</td><td>0.6</td><td>0.07</td><td>1</td></tr><tr><td>6</td><td>1367</td><td>12.82</td><td>0.55</td><td>0.03</td><td>1</td></tr><tr><td>7</td><td>1367</td><td>14.05</td><td>0.61</td><td>0.11</td><td>2</td></tr><tr><td>9</td><td>1367</td><td>13.45</td><td>0.56</td><td>0.07</td><td>2</td></tr><tr><td>11</td><td>1367</td><td>13.62</td><td>0.66</td><td>0.09</td><td>1</td></tr><tr><td>13</td><td>1367</td><td>14.29</td><td>0.62</td><td>0.07</td><td>1</td></tr><tr><td>14</td><td>1367</td><td>13.9</td><td>0.59</td><td>0.01</td><td>1</td></tr><tr><td>15</td><td>59</td><td>13.61</td><td>0.55</td><td>0.04</td><td>1</td></tr><tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr><tr><td>8912</td><td>1367</td><td>13.02</td><td>0.54</td><td>0.04</td><td>1</td></tr><tr><td>8936</td><td>1367</td><td>13.84</td><td>0.62</td><td>0.04</td><td>1</td></tr><tr><td>8947</td><td>1367</td><td>13.46</td><td>0.43</td><td>-0.09</td><td>1</td></tr><tr><td>8958</td><td>1367</td><td>14.42</td><td>0.5</td><td>-0.06</td><td>1</td></tr><tr><td>8962</td><td>1367</td><td>13.01</td><td>0.55</td><td>0.05</td><td>1</td></tr><tr><td>8982</td><td>1367</td><td>14.27</td><td>0.66</td><td>0.19</td><td>1</td></tr><tr><td>8983</td><td>1367</td><td>14.39</td><td>0.64</td><td>0.16</td><td>1</td></tr><tr><td>8993</td><td>1367</td><td>15.65</td><td>0.6</td><td>-0.02</td><td>2</td></tr><tr><td>8996</td><td>1367</td><td>15.04</td><td>0.6</td><td>0.1</td><td>3</td></tr><tr><td>9015</td><td>1367</td><td>12.56</td><td>0.61</td><td>0.03</td><td>1</td></tr><tr><td>9021</td><td>1367</td><td>12.29</td><td>1.17</td><td>1.08</td><td>1</td></tr></table>"
],
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"text": [
"<Table rows=722 names=('No','Ref','V','B-V','U-B','N')>\n",
"masked_array(data = [(1, 1367, 13.59, 0.57, 0.06, 2) (3, 1367, 12.89, 0.54, 0.08, 2)\n",
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" (6, 1367, 12.82, 0.55, 0.03, 1) (7, 1367, 14.05, 0.61, 0.11, 2)\n",
" (9, 1367, 13.45, 0.56, 0.07, 2) (11, 1367, 13.62, 0.66, 0.09, 1)\n",
" (13, 1367, 14.29, 0.62, 0.07, 1) (14, 1367, 13.9, 0.59, 0.01, 1)\n",
" (15, 59, 13.61, 0.55, 0.04, 1) (15, 1367, 13.59, 0.56, 0.05, 1)\n",
" (16, 1367, 12.69, 0.51, -0.01, 1) (17, 1367, 14.09, 0.65, 0.07, 2)\n",
" (18, 1367, 12.75, 0.56, 0.04, 1) (19, 1367, 14.09, 0.59, 0.01, 3)\n",
" (20, 59, 12.95, 0.87, 0.475, 2) (20, 1367, 12.93, 0.86, 0.47, 2)\n",
" (22, 1367, 12.65, 0.47, -0.12, 1) (23, 59, 12.66, 0.54, -0.01, 1)\n",
" (24, 59, 13.31, 0.58, 0.07, 1) (27, 59, 13.59, 0.67, 0.1, 1)\n",
" (28, 1367, 12.77, 0.55, 0.04, 1) (30, 59, 12.04, 0.6, 0.08, 1)\n",
" (30, 1367, 12.0, 0.58, 0.1, 1) (30, 2004, 11.93, 0.53, 0.19, 2)\n",
" (32, 1367, 13.35, 0.58, 0.03, 1) (33, 1367, 14.11, 0.59, 0.05, 1)\n",
" (34, 1367, 13.1, 0.59, 0.04, 1) (35, 1367, 14.11, 0.61, 0.08, 2)\n",
" (37, 59, 12.89, 0.98, 0.65, 2) (38, 1367, 14.02, 0.58, 0.09, 2)\n",
" (39, 59, 13.57, 0.49, -0.01, 1) (40, 59, 13.79, 0.57, 0.05, 1)\n",
" (41, 1367, 13.22, 0.58, 0.02, 1) (42, 59, 13.51, 0.61, 0.06, 1)\n",
" (43, 59, 13.44, 0.635, 0.06, 2) (46, 59, 12.79, 0.815, 0.38, 2)\n",
" (48, 59, 12.77, 0.745, 0.26, 2) (48, 1367, 12.75, 0.75, 0.26, 2)\n",
" (49, 59, 13.44, 0.6, 0.04, 1) (51, 59, 12.69, 0.62, 0.09, 1)\n",
" (52, 59, 13.52, 0.6, 0.07, 2) (54, 59, 12.65, 0.63, 0.1, 1)\n",
" (54, 700, 12.66, 0.621, 0.138, 1) (54, 752, 12.669, 0.604, --, 5)\n",
" (55, 59, 11.32, 0.295, 0.125, 2) (55, 752, 11.333, 0.281, --, 5)\n",
" (55, 1367, 11.33, 0.29, 0.15, 7) (55, 2004, 11.34, 0.28, 0.13, 4)\n",
" (55, 2037, 11.316, 0.299, --, 17) (57, 1367, 13.55, 0.55, 0.07, 1)\n",
" (58, 1367, 14.02, 0.68, 0.1, 1) (61, 59, 13.46, 0.585, 0.03, 2)\n",
" (62, 59, 13.79, 0.58, 0.01, 1) (63, 59, 13.38, 0.55, 0.04, 2)\n",
" (64, 59, 14.05, 0.7, 0.17, 1) (65, 2004, 12.58, 0.63, -0.02, 1)\n",
" (67, 1367, 14.12, 0.64, 0.04, 1) (68, 1367, 13.67, 0.57, 0.03, 2)\n",
" (69, 1367, 13.43, 0.56, -0.01, 1) (70, 59, 11.55, 0.41, -0.035, 2)\n",
" (70, 752, 11.563, 0.398, --, 5) (71, 59, 13.62, 0.575, 0.08, 2)\n",
" (72, 59, 12.4, 0.985, 0.725, 2) (72, 1367, 12.4, 0.99, 0.74, 4)\n",
" (72, 2004, 12.42, 0.94, 0.81, 3) (73, 59, 13.84, 0.565, 0.065, 2)\n",
" (74, 1367, 13.7, 0.56, 0.04, 1) (75, 59, 13.41, 0.585, 0.02, 3)\n",
" (75, 752, 13.444, 0.552, --, 5) (77, 59, 13.36, 0.58, 0.02, 1)\n",
" (79, 59, 12.8, 0.79, 0.27, 1) (79, 695, 12.78, 0.74, 0.34, 1)\n",
" (80, 59, 13.86, 0.59, 0.065, 2) (81, 59, 10.03, -0.073, -0.385, 3)\n",
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" (1004, 59, 15.71, 0.93, 0.58, 2) (1013, 59, 15.2, 0.79, 0.27, 2)\n",
" (1016, 59, 16.38, 1.0, 0.7, 2) (1018, 59, 15.08, 0.92, 0.54, 2)\n",
" (1019, 59, 14.55, 0.7, 0.22, 2) (1021, 59, 15.87, 0.78, 0.29, 2)\n",
" (1022, 1367, 15.37, 0.92, 0.37, 2) (1023, 59, 16.19, 0.8, 0.3, 2)\n",
" (1026, 59, 14.96, 0.76, 0.33, 4) (1028, 59, 16.64, 1.0, 0.7, 1)\n",
" (1035, 59, 16.25, 1.09, 0.92, 1) (1042, 59, 14.6, 0.72, 0.18, 1)\n",
" (1043, 59, 16.33, 1.19, 0.7, 1) (1046, 59, 14.41, 0.74, 0.17, 1)\n",
" (1046, 1367, 14.47, 0.81, 0.17, 2) (1047, 1367, 14.63, 0.82, 0.49, 2)\n",
" (1054, 1367, 14.11, 0.67, 0.13, 1) (1058, 1367, 14.69, 0.78, 0.24, 1)\n",
" (1061, 59, 14.54, 0.73, 0.16, 1) (1061, 1367, 14.46, 0.73, 0.19, 1)\n",
" (1063, 59, 15.7, 0.82, 0.63, 1) (1064, 59, 16.43, 1.35, --, 1)\n",
" (1065, 59, 14.55, 0.57, -0.06, 1) (1078, 1367, 15.38, 0.83, 0.58, 3)\n",
" (1081, 1367, 14.64, 0.84, 0.43, 2) (1151, 1367, 14.54, 0.68, 0.18, 1)\n",
" (1155, 1367, 14.44, 0.65, 0.1, 2) (1157, 1367, 14.53, 0.72, 0.17, 2)\n",
" (1160, 59, 14.46, 0.67, 0.1, 1) (1161, 1367, 14.72, 0.75, 0.23, 1)\n",
" (1170, 1367, 14.9, 0.8, 0.32, 1) (1172, 1367, 14.59, 0.65, 0.18, 3)\n",
" (1173, 1367, 15.15, 0.88, 0.31, 1) (1176, 1367, 14.05, 0.66, 0.23, 1)\n",
" (2001, 59, 13.83, 0.635, 0.12, 2) (2047, 1367, 15.58, 0.92, 0.52, 1)\n",
" (2048, 1367, 14.39, 0.68, 0.11, 2) (2054, 59, 12.91, 0.48, -0.05, 1)\n",
" (2057, 59, 12.94, 0.99, 0.68, 1) (2071, 1367, 14.94, 0.74, 0.3, 2)\n",
" (2074, 1367, 14.83, 0.78, 0.38, 1) (2099, 1367, 14.15, 0.69, 0.29, 1)\n",
" (2111, 1367, 14.5, 0.63, 0.11, 1) (2113, 1367, 14.15, 0.61, 0.15, 1)\n",
" (2121, 1367, 13.74, 0.6, 0.02, 2) (2132, 1367, 14.94, 0.79, 0.26, 2)\n",
" (2134, 1367, 14.56, 0.92, 0.47, 2) (2141, 1367, 14.25, 0.62, 0.09, 1)\n",
" (2152, 318, 10.92, 1.11, 1.15, 2) (2152, 2004, 10.91, 1.13, 1.15, 2)\n",
" (3035, 59, 12.16, 1.02, 0.81, 2) (3035, 100, 12.14, 1.01, 0.78, 3)\n",
" (3035, 591, 12.11, 0.92, 0.75, 1) (3035, 700, 12.17, 1.007, --, 1)\n",
" (3035, 1367, 12.14, 1.04, 0.81, 3) (3035, 2004, 12.12, 1.0, 0.78, 2)\n",
" (3053, 100, 12.51, 0.67, 0.18, 2) (3058, 1367, 14.37, 0.68, 0.12, 3)\n",
" (3061, 1367, 15.36, 0.86, 0.27, 1) (3072, 1367, 14.5, 0.77, 0.49, 1)\n",
" (3077, 1367, 14.0, 0.56, 0.06, 1) (3137, 1367, 14.34, 0.61, 0.19, 1)\n",
" (3145, 1367, 14.2, 0.72, 0.28, 2) (3150, 1367, 14.48, 0.64, 0.19, 2)\n",
" (4004, 59, 12.72, 0.58, 0.01, 3) (4006, 59, 13.3, 0.47, -0.015, 2)\n",
" (4018, 59, 13.07, 0.855, 0.47, 2) (4018, 695, 13.02, 0.87, 0.51, 1)\n",
" (4026, 59, 13.34, 0.57, 0.06, 2) (4044, 1367, 14.26, 0.63, 0.05, 2)\n",
" (4049, 1367, 15.05, 0.76, 0.3, 2) (4058, 1367, 14.81, 0.76, 0.2, 1)\n",
" (4063, 1367, 14.64, 0.7, 0.23, 1) (4070, 1367, 14.43, 0.73, 0.28, 1)\n",
" (4078, 1367, 14.75, 0.8, 0.24, 1) (4088, 1367, 14.88, 0.77, 0.29, 2)\n",
" (4090, 1367, 14.49, 0.67, 0.13, 2) (4091, 1367, 14.59, 0.66, 0.16, 2)\n",
" (4093, 1367, 15.28, 0.77, 0.29, 3) (4094, 1367, 14.26, 0.61, 0.05, 2)\n",
" (4097, 1367, 14.13, 0.6, 0.09, 1) (4099, 1367, 14.78, 0.72, 0.19, 2)\n",
" (4143, 1367, 14.37, 0.59, 0.12, 2) (4146, 1367, 14.58, 0.63, 0.15, 2)\n",
" (4169, 318, 9.97, 1.06, 0.91, 2) (4169, 1367, 9.97, 1.09, 0.95, 1)\n",
" (4169, 1387, 9.98, 1.06, 0.94, 3) (4169, 2004, 9.95, 1.09, 0.92, 3)\n",
" (4178, 1367, 14.43, 0.77, 0.38, 2) (4179, 1367, 15.2, 0.66, 0.07, 2)\n",
" (4183, 1367, 14.91, 0.73, 0.29, 2) (4189, 1367, 15.36, 0.79, 0.6, 3)\n",
" (4190, 1367, 14.76, 0.8, 0.2, 2) (4192, 1367, 15.03, 0.72, 0.4, 1)\n",
" (4198, 1367, 14.52, 0.68, 0.15, 2) (4202, 318, 8.87, 1.55, 1.96, 3)\n",
" (4202, 1367, 8.87, 1.54, 1.96, 5) (4202, 1387, 8.81, 1.58, 1.93, 3)\n",
" (4202, 2004, 8.85, 1.58, 1.98, 3) (5039, 1367, 14.44, 0.65, 0.1, 2)\n",
" (5183, 1367, 13.41, 0.56, 0.05, 1) (5217, 1367, 15.03, 0.84, 0.34, 2)\n",
" (5258, 1387, 9.5, 1.36, 1.51, 3) (5279, 1367, 14.97, 0.81, 0.39, 1)\n",
" (5713, 1367, 15.78, 0.63, 0.12, 2) (5780, 1367, 15.05, 0.74, 0.24, 2)\n",
" (5808, 1367, 13.63, 0.99, 0.59, 2) (5850, 1367, 12.72, 0.57, 0.08, 1)\n",
" (5908, 1367, 14.68, 0.67, 0.16, 1) (6135, 1387, 9.36, 1.47, 1.72, 3)\n",
" (6321, 1367, 15.4, 0.85, 0.36, 1) (6461, 1367, 15.84, 0.65, 0.15, 2)\n",
" (6469, 318, 9.51, 1.34, 1.57, 1) (6470, 318, 9.82, 1.31, 1.48, 2)\n",
" (6470, 1367, 9.93, 1.3, 1.48, 4) (6470, 2004, 9.79, 1.35, 1.46, 1)\n",
" (6474, 318, 10.52, 1.19, 1.3, 1) (6474, 1367, 10.54, 1.22, 1.3, 2)\n",
" (6474, 2004, 10.51, 1.18, 1.35, 3) (6495, 318, 9.37, 1.48, 1.77, 1)\n",
" (6513, 318, 10.0, 1.19, 1.24, 1) (6513, 1367, 10.14, 1.27, 1.2, 2)\n",
" (6513, 2004, 10.02, 1.2, 1.21, 1) (6514, 318, 8.76, 1.62, 2.04, 2)\n",
" (6514, 1367, 8.8, 1.65, 1.94, 1) (6514, 2004, 8.83, 1.64, 1.95, 4)\n",
" (6515, 318, 10.1, 1.26, 1.46, 2) (6515, 1367, 10.19, 1.29, 1.42, 1)\n",
" (6515, 2004, 10.08, 1.32, 1.45, 3) (7008, 1367, 14.87, 0.71, 0.16, 4)\n",
" (7015, 1367, 13.15, 0.61, 0.11, 3) (7044, 1367, 14.97, 0.76, 0.34, 3)\n",
" (7051, 1367, 14.52, 0.83, 0.52, 2) (7060, 1367, 15.66, 0.64, 0.0, 3)\n",
" (7061, 1367, 14.85, 0.64, 0.03, 2) (7063, 1367, 15.82, 0.78, 0.36, 3)\n",
" (7080, 1367, 12.75, 0.53, 0.01, 3) (7103, 1367, 15.69, 0.67, 0.06, 3)\n",
" (7110, 1367, 14.75, 0.72, 0.22, 2) (7135, 1367, 13.78, 0.6, 0.01, 2)\n",
" (7144, 1367, 14.17, 0.88, 0.45, 2) (7145, 1367, 12.9, 0.44, -0.01, 2)\n",
" (7151, 1367, 14.79, 0.82, 0.42, 2) (7157, 1367, 13.72, 0.59, 0.07, 2)\n",
" (7215, 1367, 14.38, 0.66, 0.02, 2) (7218, 1367, 13.27, 0.73, 0.35, 2)\n",
" (7225, 1367, 14.43, 0.49, -0.01, 2) (7243, 1367, 15.5, 0.89, 0.46, 3)\n",
" (7251, 1367, 12.57, 0.67, 0.15, 2) (7252, 1367, 14.39, 0.63, 0.16, 2)\n",
" (7255, 1367, 14.8, 0.64, 0.19, 2) (7272, 1367, 14.82, 0.99, 0.77, 2)\n",
" (7277, 1367, 12.28, 0.52, 0.07, 4) (7277, 2004, 12.15, 0.53, 0.1, 3)\n",
" (7281, 1367, 13.26, 0.65, 0.12, 5) (7299, 1367, 16.27, 0.7, 0.14, 2)\n",
" (7341, 1367, 13.2, 0.59, 0.07, 2) (7343, 1367, 13.53, 0.53, 0.06, 2)\n",
" (7362, 1367, 15.82, 0.98, 0.98, 2) (7368, 1367, 12.72, 0.57, 0.08, 2)\n",
" (7395, 1367, 13.36, 0.57, 0.07, 2) (7396, 1367, 14.46, 0.7, 0.13, 2)\n",
" (7434, 1367, 12.54, 0.63, 0.16, 5) (7445, 1367, 12.74, 0.56, 0.08, 2)\n",
" (7465, 1367, 14.19, 0.6, 0.07, 4) (7469, 1367, 14.56, 0.62, 0.25, 1)\n",
" (7471, 1367, 13.58, 0.6, 0.12, 2) (7473, 1367, 14.22, 0.64, 0.1, 2)\n",
" (7489, 1367, 12.88, 0.53, 0.07, 3) (7499, 1367, 13.51, 0.55, 0.09, 4)\n",
" (7505, 1367, 13.99, 0.61, 0.14, 1) (7513, 1367, 15.46, 0.63, 0.19, 1)\n",
" (7520, 1367, 14.17, 0.63, 0.06, 1) (7530, 1367, 14.21, 0.95, 0.75, 1)\n",
" (7622, 1367, 14.48, 0.66, 0.13, 2) (7625, 1367, 14.65, 0.83, 0.44, 2)\n",
" (7626, 1367, 15.3, 0.84, 0.37, 2) (7640, 1367, 15.05, 0.72, 0.38, 3)\n",
" (7646, 1367, 15.38, 0.47, -0.02, 2) (7647, 1367, 13.84, 0.58, 0.06, 1)\n",
" (7648, 1367, 13.35, 0.57, 0.03, 1) (7650, 1367, 13.88, 0.61, 0.06, 2)\n",
" (7655, 1367, 13.65, 0.58, 0.02, 1) (7656, 1367, 13.15, 0.57, 0.07, 1)\n",
" (7657, 1367, 12.6, 0.61, 0.11, 1) (7666, 1367, 14.19, 0.62, 0.12, 2)\n",
" (7674, 1367, 12.69, 0.54, 0.03, 1) (7704, 1367, 13.54, 0.56, 0.06, 1)\n",
" (7711, 1367, 13.37, 0.58, 0.02, 1) (7769, 1367, 13.43, 0.76, 0.09, 1)\n",
" (7844, 1367, 13.64, 0.54, 0.03, 1) (7848, 1367, 13.96, 0.62, 0.06, 3)\n",
" (7853, 1367, 13.29, 0.59, 0.1, 1) (7856, 1367, 13.34, 0.5, 0.02, 1)\n",
" (7859, 1367, 12.67, 0.66, 0.19, 1) (7868, 1367, 13.63, 0.54, 0.04, 1)\n",
" (7871, 1367, 12.62, 0.6, 0.12, 1) (7875, 1367, 16.02, 0.73, -0.12, 3)\n",
" (7882, 1367, 14.71, 0.8, -0.07, 1) (7903, 1367, 13.16, 0.55, 0.05, 1)\n",
" (7905, 1367, 13.28, 0.55, 0.0, 1) (7911, 1367, 14.05, 0.83, 0.39, 3)\n",
" (7912, 1367, 13.25, 0.55, 0.08, 1) (7913, 1367, 13.86, 0.56, 0.05, 1)\n",
" (7914, 1367, 13.16, 0.57, 0.08, 1) (7926, 1367, 12.71, 0.55, 0.06, 1)\n",
" (7927, 1367, 13.31, 0.54, 0.03, 1) (7928, 1367, 14.79, 0.65, 0.3, 2)\n",
" (8130, 1367, 14.38, 0.66, 0.16, 1) (8155, 1367, 14.62, 0.64, 0.18, 1)\n",
" (8165, 1367, 12.8, 0.51, 0.03, 1) (8168, 1367, 13.11, 0.56, 0.05, 1)\n",
" (8172, 1367, 14.63, 0.65, 0.25, 1) (8176, 1367, 15.66, 0.85, 0.34, 1)\n",
" (8181, 1367, 13.19, 0.57, 0.08, 1) (8348, 1367, 13.7, 0.56, 0.04, 1)\n",
" (8356, 1367, 12.94, 0.91, 0.61, 1) (8359, 1367, 10.49, 1.09, 0.96, 1)\n",
" (8388, 1367, 14.61, 0.65, 0.18, 1) (8389, 1367, 13.24, 0.56, 0.02, 1)\n",
" (8394, 1367, 13.2, 0.58, 0.03, 1) (8397, 1367, 13.21, 0.54, 0.04, 1)\n",
" (8400, 1367, 13.74, 0.56, 0.03, 1) (8402, 1367, 11.39, 1.16, 1.25, 1)\n",
" (8488, 1367, 15.72, 0.92, 0.63, 2) (8492, 1367, 14.51, 0.91, 0.52, 1)\n",
" (8501, 1367, 14.66, 0.69, 0.07, 1) (8503, 1367, 12.96, 0.54, 0.05, 1)\n",
" (8505, 1367, 14.19, 0.65, 0.11, 1) (8508, 1367, 12.78, 0.57, 0.08, 1)\n",
" (8515, 1367, 14.15, 0.63, 0.09, 1) (8516, 1367, 13.71, 0.56, 0.03, 1)\n",
" (8519, 1367, 14.19, 0.62, 0.09, 1) (8524, 1367, 13.0, 0.81, 0.45, 1)\n",
" (8547, 1367, 15.49, 0.72, 0.24, 2) (8554, 1367, 13.27, 0.57, 0.06, 1)\n",
" (8560, 1367, 14.47, 0.69, 0.22, 2) (8564, 1367, 15.1, 0.75, 0.36, 2)\n",
" (8573, 1367, 14.46, 0.63, 0.17, 2) (8575, 1367, 12.81, 0.52, 0.0, 1)\n",
" (8604, 1367, 14.88, 0.72, 0.31, 2) (8634, 1367, 13.19, 0.58, 0.06, 1)\n",
" (8635, 1367, 13.25, 0.57, 0.05, 2) (8639, 1367, 12.66, 0.58, 0.07, 2)\n",
" (8639, 2004, 12.61, 0.59, 0.1, 1) (8648, 1367, 13.72, 0.55, 0.03, 2)\n",
" (8676, 1367, 14.95, 0.89, 0.52, 3) (8687, 1367, 13.04, 0.54, 0.03, 2)\n",
" (8688, 1367, 13.89, 0.57, 0.04, 3) (8698, 1367, 15.23, 0.76, 0.41, 4)\n",
" (8713, 1367, 12.53, 0.97, 0.8, 2) (8714, 1367, 14.66, 0.79, 0.46, 2)\n",
" (8720, 1367, 13.48, 0.56, 0.03, 1) (8735, 1367, 15.99, 0.67, 0.07, 3)\n",
" (8736, 1367, 14.87, 0.75, 0.23, 3) (8792, 1367, 12.63, 0.6, 0.12, 2)\n",
" (8808, 1367, 12.6, 0.58, 0.1, 1) (8808, 2004, 12.58, 0.57, 0.08, 1)\n",
" (8816, 1367, 15.28, 1.51, 1.18, 3) (8817, 1367, 13.68, 0.55, 0.0, 2)\n",
" (8832, 1367, 12.76, 0.54, 0.07, 1) (8863, 318, 9.55, 0.94, 0.61, 1)\n",
" (8872, 1367, 15.43, 0.62, -0.02, 1) (8907, 318, 10.9, 1.43, 1.89, 1)\n",
" (8910, 1367, 15.59, 0.58, -0.01, 2) (8912, 1367, 13.02, 0.54, 0.04, 1)\n",
" (8936, 1367, 13.84, 0.62, 0.04, 1) (8947, 1367, 13.46, 0.43, -0.09, 1)\n",
" (8958, 1367, 14.42, 0.5, -0.06, 1) (8962, 1367, 13.01, 0.55, 0.05, 1)\n",
" (8982, 1367, 14.27, 0.66, 0.19, 1) (8983, 1367, 14.39, 0.64, 0.16, 1)\n",
" (8993, 1367, 15.65, 0.6, -0.02, 2) (8996, 1367, 15.04, 0.6, 0.1, 3)\n",
" (9015, 1367, 12.56, 0.61, 0.03, 1) (9021, 1367, 12.29, 1.17, 1.08, 1)],\n",
" mask = [(False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, True, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, True, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, True, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, True, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, True, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, True, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, True, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, True, False)\n",
" (False, False, False, False, True, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
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" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
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" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)\n",
" (False, False, False, False, False, False)],\n",
" fill_value = (999999, 999999, 1e+20, 1e+20, 1e+20, 999999),\n",
" dtype = [('No', '<i4'), ('Ref', '<i4'), ('V', '<f8'), ('B-V', '<f8'), ('U-B', '<f8'), ('N', '<i4')])"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Plotting Setup"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%config InlineBackend.rc = {}\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"import seaborn"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Plot Color Magnitude Diagram"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we will construct a color-magnitude diagram, by"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure (figsize=(10,8))\n",
"a2 = fig.add_subplot(111)\n",
"a2.scatter(M67_obs['B-V'],M67_obs['V'])\n",
"a2.set_title(\"Color Magnitude Diagram\",fontsize=24)\n",
"a2.set_xlabel(\"B-V\")\n",
"a2.set_ylabel(\"V\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 33,
"text": [
"<matplotlib.text.Text at 0x1f6c4358>"
]
},
{
"metadata": {},
"output_type": "display_data",
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c3Fxefvllr+3Z2dk0btzY9U3mNddcw6pVq/jqq6/qpHxBRKShio2NZcWKFZSW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3AAAg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\nZICSJEmSpID+P6hTnHFhd+obAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1f7d7e10>"
]
}
],
"prompt_number": 33
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Calculate Isocron fit"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The magnitudes listed in the Isochrone table are Absolute Magnitudes. To compare them with your observed data in Step 3, you'll need to convert them to Apparent Magnitudes using the Distance Modulus. You recorded your cluster's Distance Modulus in CT-5.\n",
"\n",
" To convert from Absolute to Apparent Magnitude, add the Distance Modulus to the Absolute Magnitudes (i.e., Apparent V Magnitude = Absolute V Magnitude + Distance Modulus ). If needed, check out these helpful hints for one way to do this.\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"V_M67 = M67_iso['V']+ M67_distMod"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You'll also need to account for the Reddening (the effect of dust between us and the cluster). You recorded your cluster's Reddening in CT-5.\n",
"\n",
" Add the Reddening value to the color [bmag-vmag] values (i.e., corrected color = [bmag-vmag]+reddening). If needed, check out these helpful hints for one way to do this.\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"CorrectedColor = M67_iso['B'] - M67_iso['V'] + M67_reddening"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig2 = plt.figure (figsize=(12,10))\n",
"a = fig2.add_subplot(111)\n",
"a.scatter(M67_obs['B-V'],M67_obs['V'],c='yellow',s=20)\n",
"a.scatter(CorrectedColor,V_M67,c=-M67_iso['log(age/yr)'],cmap='RdBu',s=20,edgecolor='none',marker='v')\n",
"a.set_title(\"Color Magnitude Diagram with Isocrons\",fontsize=24)\n",
"a.set_xlabel(\"B-V\")\n",
"a.set_ylabel(\"V\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 48,
"text": [
"<matplotlib.text.Text at 0x22078f98>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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oj+dSc/h3331Xf/jDH/TAAw+0eS4YNGiQ35gkvueXjv6O+a7jO4p7enq6cfOo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\nKSm9NG/eTzVv3k9bXYc6em7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Fxflftns8HjlDEaz/S31ipmKqDhlZ9vpu/dp5B4BwIMMO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Ma+RGmpka05C2nX0ZGCLe4UVpjIyCymxKMUj7ceZ22OM24uLQgI8b4s2BU6ji7Br5UJWf6O03mT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tuptBfaAObEo/lhUFURBQFAWjUcZdp952JqOM2SyjiBo0DZWIisXhXAAWyQWTqy/6mrM0eISD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bb74pSTIMQ8nJyZoyZYruvfde2e32Qd9rsVhUUVGhrVu36p577olHcwEAGPeM7du391x6\nNwAAAAAAEE9cww4AAAAAgAkR2AEAAAAAMCECOwAAAAAAJkRgBwAAAADAhAjsAAAAAACYEIEdAAAA\nAAATIrADAAAAAGBCBHYAAAAAAEyIwA4AAAAAgAkR2AEAAAAAMCECOwAAAAAAJvT/Ae/MLVVdBVj1\nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x220a81d0>"
]
}
],
"prompt_number": 48
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}