{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:07:41.513132Z",
"start_time": "2020-03-17T00:07:39.509298Z"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"from IPython.display import Image\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Lecture 13:\n",
"- Learn a few more Pandas tricks\n",
"- Learn how to make more complicated plots with **matplotlib**\n",
"- Learn about the composition of the sun, solar system and Earth.\n",
"- Learn about exceptions in python\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### More filtering tricks with Pandas\n",
"\n",
"We now turn to some plots of elemental abundances in the Sun and the Solar System. I downloaded some data from Wikipedia (https://en.wikipedia.org/wiki/Abundances_of_the_elements_(data_page))\n",
"and processed them into a tab delimited file. Let's use the **readlines()** method we learned about before to look at the top 10 lines in the file:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:07:41.536235Z",
"start_time": "2020-03-17T00:07:41.515364Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"['AtomicNumber\\tSymbol\\tName\\tSolar\\tSystem\\n',\n",
" '01\\tH\\thydrogen\\t28000.0\\t28000.0\\n',\n",
" '02\\tHe\\thelium\\t2700.0\\t2700.0\\n',\n",
" '03\\tLi\\tlithium\\t4e-07\\t5.7e-05\\n',\n",
" '04\\tBe\\tberyllium\\t4e-07\\t7e-07\\n',\n",
" '05\\tB\\tboron\\t1.1000000000000001e-05\\t2.1000000000000002e-05\\n',\n",
" '06\\tC\\tcarbon\\t10.0\\t10.0\\n',\n",
" '07\\tN\\tnitrogen\\t3.1\\t3.1\\n',\n",
" '08\\tO\\toxygen\\t24.0\\t24.0\\n',\n",
" '09\\tF\\tfluorine\\t0.001\\t0.0008500000000000001\\n']"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"open('Datasets/ElementalAbundances/ElementalAbundances.txt').readlines()[0:10]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The values are atomic mole fraction relative to Silicon so Si is 1.\n",
"\n",
"The Solar System elemental abundances are from: Thomas J. Ahrens (ed.), Global Earth Physics : A Handbook of Physical Constants, American Geophysical Union (1995). ISBN 0-87590-851-9 Composition of the Solar System, Planets, Meteorites, and Major Terrestrial Reservoirs, Horton E. Newsom. Tables 1, 14, 15.\n",
"\n",
"The values for the Sun are from: National Physical Laboratory, Kaye and Laby Tables of Physical & Chemical Constants (2005). Section 3.1.3, Abundances of the elements"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can read in this file with **pd.read_csv( )** but this is not a 'comma separated variable' file (that is what the **csv** stands for) but a tab delimited text file. So, following the logic in Lecture 9 when we saved a file as a tab delimited format, we can set the separation method (**sep**) to tabs ('\\t') for reading in data. And, we can (but don't have to ) tell Pandas that the header is in the first line (0) as that is the default value for **header**. \n",
"\n",
"Note that there are many ways of delimiting files, for example with spaces. \n",
"That is why in Lecture 9 we used **delim_whitespace=True** (which we could also do here - try it yourself). "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:07:44.143008Z",
"start_time": "2020-03-17T00:07:44.076215Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
AtomicNumber
\n",
"
Symbol
\n",
"
Name
\n",
"
Solar
\n",
"
System
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
1
\n",
"
H
\n",
"
hydrogen
\n",
"
2.800000e+04
\n",
"
2.800000e+04
\n",
"
\n",
"
\n",
"
1
\n",
"
2
\n",
"
He
\n",
"
helium
\n",
"
2.700000e+03
\n",
"
2.700000e+03
\n",
"
\n",
"
\n",
"
2
\n",
"
3
\n",
"
Li
\n",
"
lithium
\n",
"
4.000000e-07
\n",
"
5.700000e-05
\n",
"
\n",
"
\n",
"
3
\n",
"
4
\n",
"
Be
\n",
"
beryllium
\n",
"
4.000000e-07
\n",
"
7.000000e-07
\n",
"
\n",
"
\n",
"
4
\n",
"
5
\n",
"
B
\n",
"
boron
\n",
"
1.100000e-05
\n",
"
2.100000e-05
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" AtomicNumber Symbol Name Solar System\n",
"0 1 H hydrogen 2.800000e+04 2.800000e+04\n",
"1 2 He helium 2.700000e+03 2.700000e+03\n",
"2 3 Li lithium 4.000000e-07 5.700000e-05\n",
"3 4 Be beryllium 4.000000e-07 7.000000e-07\n",
"4 5 B boron 1.100000e-05 2.100000e-05"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Abundances=pd.read_csv('Datasets/ElementalAbundances/ElementalAbundances.txt',sep='\\t',header=0)\n",
"Abundances.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### More Plotting techniques\n",
"\n",
"We have successfully read in the file. Now let's plot 'AtomicNumber' versus the solar elemental abundances 'Abundances.Solar'."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:07:54.335078Z",
"start_time": "2020-03-17T00:07:53.935985Z"
},
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(Abundances.AtomicNumber,(Abundances.Solar),'k-') # plot with a black line\n",
"plt.plot(Abundances.AtomicNumber,(Abundances.Solar),'ko') # put on some black dots\n",
"plt.xlabel('Atomic Number') # label the x axis\n",
"plt.ylabel('Abundance'); # label the y axis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Well that's odd - only the first two elements, hydrogen and helium, appear significant. The Sun is primarily H and He, so this is expected, but it isn't a very informative plot! We would like to see the other elements as well. We can do this by taking the logarithm of the abundances instead of the abundances. One way to do this is to use the **NumPy** function **np.log10( )**. Note that **np.log( )** returns the natural log, while **np.log10( )** returns the base 10 log. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:03.036828Z",
"start_time": "2020-03-17T00:08:02.799241Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(Abundances.AtomicNumber,np.log10(Abundances.Solar),'k-')\n",
"plt.plot(Abundances.AtomicNumber,np.log10(Abundances.Solar),'ko')\n",
"plt.xlabel('Atomic Number')\n",
"plt.ylabel('Log Abundance')\n",
"plt.title('Solar Elemental Abundances');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That's better. While we are at it, there is another way to do this. We can set the y-scale to be a log, instead: "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:07.318719Z",
"start_time": "2020-03-17T00:08:06.713297Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.semilogy(Abundances.AtomicNumber,Abundances.Solar,'k-')\n",
"plt.semilogy(Abundances.AtomicNumber,Abundances.Solar,'ko')\n",
"plt.xlabel('Atomic Number')\n",
"plt.ylabel('Abundance')\n",
"plt.title('Solar Elemental Abundances');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's keep improving this plot. We could place the symbols above the points. To do this, we will convert the **Series** 'AtomicNumber' to a list, go through it with a **for** loop, and then plot each symbol above the dot by using our old frient **plt.text( )** from Lecture 9. \n",
"\n",
"To convert from a Pandas **Series** to a list, we use the method **Series.tolist( )** as we learned in Lecture 9."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:08.447776Z",
"start_time": "2020-03-17T00:08:08.437308Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94]\n"
]
}
],
"source": [
"print(Abundances.AtomicNumber.tolist()) #convert Series to list"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's export the Symbols and abundances to lists as well. "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:09.593492Z",
"start_time": "2020-03-17T00:08:09.575700Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['H', 'He', 'Li', 'Be', 'B', 'C', 'N', 'O', 'F', 'Ne', 'Na', 'Mg', 'Al', 'Si', 'P', 'S', 'Cl', 'Ar', 'K', 'Ca', 'Sc', 'Ti', 'V', 'Cr', 'Mn', 'Fe', 'Co', 'Ni', 'Cu', 'Zn', 'Ga', 'Ge', 'As', 'Se', 'Br', 'Kr', 'Rb', 'Sr', 'Y', 'Zr', 'Nb', 'Mo', 'Tc', 'Ru', 'Rh', 'Pd', 'Ag', 'Cd', 'In', 'Sn', 'Sb', 'Te', 'I', 'Xe', 'Cs', 'Ba', 'La', 'Ce', 'Pr', 'Nd', 'Pm', 'Sm', 'Eu', 'Gd', 'Tb', 'Dy', 'Ho', 'Er', 'Tm', 'Yb', 'Lu', 'Hf', 'Ta', 'W', 'Re', 'Os', 'Ir', 'Pt', 'Au', 'Hg', 'Tl', 'Pb', 'Bi', 'Po', 'At', 'Rn', 'Fr', 'Ra', 'Ac', 'Th', 'Pa', 'U', 'Np', 'Pu']\n",
"[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94]\n",
"[28000.0, 2700.0, 4e-07, 4e-07, 1.1e-05, 10.0, 3.1, 24.0, 0.001, 3.0, 0.06, 1.0, 0.083, 1.0, 0.008, 0.45, 0.009000000000000001, 0.1, 0.0037, 0.064, 3.5000000000000004e-05, 0.0027, 0.00028, 0.013, 0.006900000000000001, 0.9, 0.0023, 0.05, 0.00045, 0.0011, 2.1e-05, 7.2e-05, nan, nan, nan, nan, 1.1e-05, 2.2000000000000006e-05, 4.9000000000000005e-06, 1.12e-05, 7e-07, 2.3e-06, nan, 1.9e-06, 4e-07, 1.4e-06, 2e-07, 2e-06, 1.3e-06, 3e-06, 3e-07, nan, nan, nan, nan, 3.8e-06, 5e-07, 1e-06, 1.3999999999999998e-07, 9.000000000000001e-07, nan, 3e-07, 9e-08, 3.7e-07, 2e-08, 3.5e-07, 5e-08, 2.4e-07, 3.0000000000000004e-08, 3.4e-07, 1.5e-07, 2.1e-07, nan, 3.6e-07, nan, 8e-07, 6e-07, 1.8000000000000001e-06, 3e-07, nan, 2e-07, 2e-06, nan, nan, nan, nan, nan, nan, nan, 5e-08, nan, nan, nan, nan]\n"
]
}
],
"source": [
"syms=Abundances.Symbol.tolist() # list of atomic symbols\n",
"print (syms)\n",
"Xs=Abundances.AtomicNumber.tolist() # list of atomic numbers\n",
"print (Xs)\n",
"Ys=Abundances.Solar.tolist() # list of solar abundances\n",
"print (Ys)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As we saw from last lecture, we can use the Pandas method **.dropna( )** to get rid of the 'nan's."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:14.444145Z",
"start_time": "2020-03-17T00:08:14.424328Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[28000.0, 2700.0, 4e-07, 4e-07, 1.1e-05, 10.0, 3.1, 24.0, 0.001, 3.0, 0.06, 1.0, 0.083, 1.0, 0.008, 0.45, 0.009000000000000001, 0.1, 0.0037, 0.064, 3.5000000000000004e-05, 0.0027, 0.00028, 0.013, 0.006900000000000001, 0.9, 0.0023, 0.05, 0.00045, 0.0011, 2.1e-05, 7.2e-05, 1.1e-05, 2.2000000000000006e-05, 4.9000000000000005e-06, 1.12e-05, 7e-07, 2.3e-06, 1.9e-06, 4e-07, 1.4e-06, 2e-07, 2e-06, 1.3e-06, 3e-06, 3e-07, 3.8e-06, 5e-07, 1e-06, 1.3999999999999998e-07, 9.000000000000001e-07, 3e-07, 9e-08, 3.7e-07, 2e-08, 3.5e-07, 5e-08, 2.4e-07, 3.0000000000000004e-08, 3.4e-07, 1.5e-07, 2.1e-07, 3.6e-07, 8e-07, 6e-07, 1.8000000000000001e-06, 3e-07, 2e-07, 2e-06, 5e-08]\n"
]
}
],
"source": [
"Solar=Abundances.dropna(subset=['Solar']) # drop all the records with blank abundances\n",
"print (Solar.Solar.tolist())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we have to re-generate our lists from the filtered DataFrame **Solar**"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:15.461385Z",
"start_time": "2020-03-17T00:08:15.450232Z"
}
},
"outputs": [],
"source": [
"syms=Solar.Symbol.tolist() # get the symbols exported to a list\n",
"Xs=Solar.AtomicNumber.tolist()\n",
"Ys=np.log10(Solar.Solar).tolist() # Don't forget to take the log value!\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**TIP:** Another solution for getting rid of 'nan's would be replace them with zeros and then filter with the condition !=0 (remembering from Lecture 4 that 'not equal to' is '!=' in Python.\n",
"\n",
"To replace 'nan's with a number, we can use the **.fillna( )** method which does just that.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have rid ourselves of the empty values, we can label the points with the list of symbols using the **plt.text( )** function. \n",
"\n",
"We can tell **plt.text( )** that we want the vertical alignment (**va**) of the data point to be on the bottom (va = 'bottom') and we want to center the horizontal alignment (**ha**). Here's how it goes. "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:17.401361Z",
"start_time": "2020-03-17T00:08:16.835001Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# do the usual \n",
"plt.plot(Solar.AtomicNumber,np.log10(Solar.Solar),'k-')\n",
"plt.plot(Solar.AtomicNumber,np.log10(Solar.Solar),'ko')\n",
"plt.xlabel('Atomic Number')\n",
"plt.ylabel('Log Abundance')\n",
"plt.title('Solar Elemental Abundances');\n",
"# now decorate the plot with symbol names\n",
"for k in range(len(syms)): # walk through the syms list\n",
" # here's how you do the notes:\n",
" plt.text(Xs[k],Ys[k],syms[k],va='bottom',ha='center',color='red') "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Close - but the text labels are too close to the data points, so let's \"scootch\" them up. We can also rotate them as we did in Lecture 9. We can make the plot a bit bigger for clarity. Finally, we can set the fontsize using another keyword argument: \n",
"\n",
"Also, it is now time learn about **plt.figure()**. This command creates a **figure** instance that has many useful methods, among them the ability to change the dimensions of the plot. This is done by passing a tuple with width and height as a parameter. \n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:25.023567Z",
"start_time": "2020-03-17T00:08:24.357092Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,8))\n",
"plt.ylim(-8.5,6)\n",
"plt.plot(Solar.AtomicNumber,np.log10(Solar.Solar),'k-')\n",
"plt.plot(Solar.AtomicNumber,np.log10(Solar.Solar),'ko')\n",
"plt.xlabel('Atomic Number')\n",
"plt.ylabel('Log Abundance')\n",
"plt.title('Solar Elemental Abundances')\n",
"scootch=.5\n",
"for k in range(len(syms)):\n",
" plt.text(Xs[k],Ys[k]+scootch,syms[k],va='bottom',ha='center',color='red',rotation=90,fontsize=12)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Writing the labels above the points is one way to include the symbols. A different solution would be to write the labels on the X axis. We do that with **plt.xticks( )**. Setting the _rotation_ keyword to 90 puts the tick labels on sideways (similar to how we did it for plt.text). \n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:30.440494Z",
"start_time": "2020-03-17T00:08:29.513923Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,8))\n",
"plt.plot(Solar.AtomicNumber,np.log10(Solar.Solar),'k-')\n",
"plt.plot(Solar.AtomicNumber,np.log10(Solar.Solar),'ko')\n",
"plt.xlabel('Atomic Symbol')\n",
"plt.ylabel('Log Abundance')\n",
"plt.title('Solar Elemental Abundances')\n",
"plt.xticks(Xs,syms,rotation=90,fontsize=9,color='red');# see how we rotate the xticks"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's look at the Solar System Abundances. We'll apply the same strategy."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:32.415643Z",
"start_time": "2020-03-17T00:08:31.797825Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,8))\n",
"System=Abundances.dropna(subset=['System'])\n",
"syms=System.Symbol.tolist()\n",
"Xs=System.AtomicNumber.values.tolist()\n",
"Ys=np.log10(System.System).tolist() # Don't forget to take the log value!\n",
"plt.plot(Xs,Ys,'k-')\n",
"plt.plot(Xs,Ys,'ko')\n",
"plt.title('Solar System Elemental Abundances')\n",
"scootch=0.5\n",
"for k in range(len(syms)):\n",
" plt.text(Xs[k],Ys[k]+scootch,syms[k],va='bottom',ha='center',color='red',rotation=90,fontsize=12)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Back to our elemental abundances, we'll take a look at one final example - the Earth's crust. You can find the data in: Datasets/ElementalAbundances/CrustalAbundances.txt\n",
"\n",
"Let's take a peek:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:36.295152Z",
"start_time": "2020-03-17T00:08:36.274949Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"['AtomicNumber\\tSymbol\\tName\\tCrust\\tSiNormalized\\n',\n",
" '1\\tH\\thydrogen\\t0.0014\\t0.004964539\\n',\n",
" '2\\tHe\\thelium\\t8.00E-09\\t2.84E-08\\n',\n",
" '3\\tLi\\tlithium\\t2.00E-05\\t7.09E-05\\n',\n",
" '4\\tBe\\tberyllium\\t2.80E-06\\t9.93E-06\\n',\n",
" '5\\tB\\tboron\\t1.00E-05\\t3.55E-05\\n',\n",
" '6\\tC\\tcarbon\\t0.0002\\t0.00070922\\n',\n",
" '7\\tN\\tnitrogen\\t1.90E-05\\t6.74E-05\\n',\n",
" '8\\tO\\toxygen\\t0.461\\t1.634751773\\n',\n",
" '9\\tF\\tfluorine\\t0.000585\\t0.002074468\\n']"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"open('Datasets/ElementalAbundances/CrustalAbundances.txt').readlines()[0:10]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And read, filter and plot as before."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:38.205204Z",
"start_time": "2020-03-17T00:08:37.462296Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,8))\n",
"CrustalAbundances=pd.read_csv('Datasets/ElementalAbundances/CrustalAbundances.txt',\\\n",
" sep='\\t',header=0) # read in the data\n",
"Crust=CrustalAbundances.dropna(subset=['SiNormalized']) # drop the blanks\n",
"syms=Crust.Symbol.tolist() # export the Symbol Series to syms\n",
"Xs=Crust.AtomicNumber.tolist()\n",
"Ys=np.log10(Crust.SiNormalized).tolist() # Don't forget to take the log value!\n",
"plt.plot(Xs,Ys,'k-')\n",
"plt.plot(Xs,Ys,'ko')\n",
"plt.title('Crustal Elemental Abundances')\n",
"scootch=.5 # pad the Y axis with scootch\n",
"for k in range(len(syms)):\n",
" plt.text(Xs[k],Ys[k]+scootch,syms[k],va='bottom',ha='center',color='red',rotation=90,fontsize=12)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Wow! that looks different! Where did all the Hydrogen and Helium go? \n",
"\n",
"To get a better comparison among the resevoirs, it would be handy to plot all three images on one figure. There are many ways to accomplish this, for example making a stacked plot with the figures on top of each other, or three separate figures side-by-side. Here we want three figures stacked vertically. \n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Up to now we have just used **plt.figure( )** to adjust the size of the default plot. But there is a lot more to a **plt.figure( )** instance that we can use. To benefit from that, we make a figure instance called **fig** like so: \n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:39.675971Z",
"start_time": "2020-03-17T00:08:39.647464Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig=plt.figure(1,(5,15)) # figure instance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The **fig** instance has many methods. One of these is **fig.add_subplot(row,column,plot_number)**. \n",
"\n",
"In this case, we want 3 rows in one column and we will add subplots in order (1-3). "
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:47.456876Z",
"start_time": "2020-03-17T00:08:46.703707Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig=plt.figure(1,(15,15)) # figure instance\n",
"fig.add_subplot(3,1,1) # the 3,1,1 means three rows, one column, and this is the first plot. \n",
"plt.plot(Solar.AtomicNumber,np.log10(Solar.Solar),'k-')\n",
"plt.plot(Solar.AtomicNumber,np.log10(Solar.Solar),'ko')\n",
"plt.title(\"Solar Elemental Abundances\")\n",
"plt.ylabel('Log Abundance')\n",
"fig.add_subplot(3,1,2) # this makes the second plot of three in one column\n",
"plt.plot(System.AtomicNumber,np.log10(System.System),'k-')\n",
"plt.plot(System.AtomicNumber,np.log10(System.System),'ko')\n",
"plt.title(\"Solar System Elemental Abundances\")\n",
"plt.ylabel('Log Abundance')\n",
"fig.add_subplot(3,1,3) # and here comes the third plot. \n",
"plt.plot(Crust.AtomicNumber,np.log10(Crust.Crust),'k-')\n",
"plt.plot(Crust.AtomicNumber,np.log10(Crust.Crust),'ko')\n",
"plt.title(\"Crustal Elemental Abundances\")\n",
"plt.ylabel('Log Abundance')\n",
"plt.xlabel('Atomic Number'); # the xlabel comes here because the 3rd plot is the lowest"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"Other ways of setting up plots are possible and we will learn about some of them in later lectures. If you are interested, see: http://matplotlib.org/api/pyplot_api.html. \n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"How else can we represent the crustal abundance data? Some folks love pie charts. We can create a pie chart of the most abundant elements in the crust. To do this, we should probably filter for the most abundant elements. \n",
"\n",
"So we'll begin by sorting the Crustal abundances into descending order. Remember from last lecture that we can use **sort_values( )** to do this."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:52.924182Z",
"start_time": "2020-03-17T00:08:52.883354Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
AtomicNumber
\n",
"
Symbol
\n",
"
Name
\n",
"
Crust
\n",
"
SiNormalized
\n",
"
\n",
" \n",
" \n",
"
\n",
"
7
\n",
"
8
\n",
"
O
\n",
"
oxygen
\n",
"
0.461000
\n",
"
1.634752
\n",
"
\n",
"
\n",
"
13
\n",
"
14
\n",
"
Si
\n",
"
silicon
\n",
"
0.282000
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
12
\n",
"
13
\n",
"
Al
\n",
"
aluminium
\n",
"
0.082300
\n",
"
0.291844
\n",
"
\n",
"
\n",
"
25
\n",
"
26
\n",
"
Fe
\n",
"
iron
\n",
"
0.056300
\n",
"
0.199645
\n",
"
\n",
"
\n",
"
19
\n",
"
20
\n",
"
Ca
\n",
"
calcium
\n",
"
0.041500
\n",
"
0.147163
\n",
"
\n",
"
\n",
"
10
\n",
"
11
\n",
"
Na
\n",
"
sodium
\n",
"
0.023600
\n",
"
0.083688
\n",
"
\n",
"
\n",
"
11
\n",
"
12
\n",
"
Mg
\n",
"
magnesium
\n",
"
0.023300
\n",
"
0.082624
\n",
"
\n",
"
\n",
"
18
\n",
"
19
\n",
"
K
\n",
"
potassium
\n",
"
0.020900
\n",
"
0.074113
\n",
"
\n",
"
\n",
"
21
\n",
"
22
\n",
"
Ti
\n",
"
titanium
\n",
"
0.005650
\n",
"
0.020035
\n",
"
\n",
"
\n",
"
0
\n",
"
1
\n",
"
H
\n",
"
hydrogen
\n",
"
0.001400
\n",
"
0.004965
\n",
"
\n",
"
\n",
"
14
\n",
"
15
\n",
"
P
\n",
"
phosphorus
\n",
"
0.001050
\n",
"
0.003723
\n",
"
\n",
"
\n",
"
24
\n",
"
25
\n",
"
Mn
\n",
"
manganese
\n",
"
0.000950
\n",
"
0.003369
\n",
"
\n",
"
\n",
"
8
\n",
"
9
\n",
"
F
\n",
"
fluorine
\n",
"
0.000585
\n",
"
0.002074
\n",
"
\n",
"
\n",
"
55
\n",
"
56
\n",
"
Ba
\n",
"
barium
\n",
"
0.000425
\n",
"
0.001507
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" AtomicNumber Symbol Name Crust SiNormalized\n",
"7 8 O oxygen 0.461000 1.634752\n",
"13 14 Si silicon 0.282000 1.000000\n",
"12 13 Al aluminium 0.082300 0.291844\n",
"25 26 Fe iron 0.056300 0.199645\n",
"19 20 Ca calcium 0.041500 0.147163\n",
"10 11 Na sodium 0.023600 0.083688\n",
"11 12 Mg magnesium 0.023300 0.082624\n",
"18 19 K potassium 0.020900 0.074113\n",
"21 22 Ti titanium 0.005650 0.020035\n",
"0 1 H hydrogen 0.001400 0.004965\n",
"14 15 P phosphorus 0.001050 0.003723\n",
"24 25 Mn manganese 0.000950 0.003369\n",
"8 9 F fluorine 0.000585 0.002074\n",
"55 56 Ba barium 0.000425 0.001507"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Crust.sort_values(by=\"Crust\", ascending=False).head(14) # the head method gives us the top 14."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we see that abundances less than about 1% are trivial, so let's filter 'Crust' for values > 0.01."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:08:55.865097Z",
"start_time": "2020-03-17T00:08:55.844066Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
AtomicNumber
\n",
"
Symbol
\n",
"
Name
\n",
"
Crust
\n",
"
SiNormalized
\n",
"
\n",
" \n",
" \n",
"
\n",
"
7
\n",
"
8
\n",
"
O
\n",
"
oxygen
\n",
"
0.4610
\n",
"
1.634752
\n",
"
\n",
"
\n",
"
10
\n",
"
11
\n",
"
Na
\n",
"
sodium
\n",
"
0.0236
\n",
"
0.083688
\n",
"
\n",
"
\n",
"
11
\n",
"
12
\n",
"
Mg
\n",
"
magnesium
\n",
"
0.0233
\n",
"
0.082624
\n",
"
\n",
"
\n",
"
12
\n",
"
13
\n",
"
Al
\n",
"
aluminium
\n",
"
0.0823
\n",
"
0.291844
\n",
"
\n",
"
\n",
"
13
\n",
"
14
\n",
"
Si
\n",
"
silicon
\n",
"
0.2820
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
18
\n",
"
19
\n",
"
K
\n",
"
potassium
\n",
"
0.0209
\n",
"
0.074113
\n",
"
\n",
"
\n",
"
19
\n",
"
20
\n",
"
Ca
\n",
"
calcium
\n",
"
0.0415
\n",
"
0.147163
\n",
"
\n",
"
\n",
"
25
\n",
"
26
\n",
"
Fe
\n",
"
iron
\n",
"
0.0563
\n",
"
0.199645
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" AtomicNumber Symbol Name Crust SiNormalized\n",
"7 8 O oxygen 0.4610 1.634752\n",
"10 11 Na sodium 0.0236 0.083688\n",
"11 12 Mg magnesium 0.0233 0.082624\n",
"12 13 Al aluminium 0.0823 0.291844\n",
"13 14 Si silicon 0.2820 1.000000\n",
"18 19 K potassium 0.0209 0.074113\n",
"19 20 Ca calcium 0.0415 0.147163\n",
"25 26 Fe iron 0.0563 0.199645"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Top=Crust[Crust.Crust>.01] # this takes all the values with Crust >0.01\n",
"Top"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And now, drum roll please, for the pie chart. We can use **plt.pie( )** to make the chart. It has a keyword argument **labels=** which takes a list. This allows us to label all the slices with a list of the symbols as shown here:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:09:28.262782Z",
"start_time": "2020-03-17T00:09:28.100091Z"
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.pie(Top.Crust,labels=Top.Symbol.tolist()) # see the labels trick? \n",
"plt.axis('equal'); # for some reason the pie is not round by default. this makes it round"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But there is a slice out of our pie! This is because after removing the 'trivial' elements, they no longer sum to 1. Let's renormalize them. To do that, we must first sum up all the values, then divide them all by the sum. "
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:47:38.631854Z",
"start_time": "2020-03-17T00:47:38.517792Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"total= Top.Crust.sum() # the sum() method takes the sum of the Series - duh. \n",
"Normalized=Top.Crust/total # makes a Series that is normalized by the sum\n",
"syms=Top.Symbol.tolist()\n",
"plt.pie(Normalized,labels=syms)\n",
"plt.axis('equal');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some people love pie charts while others like bar charts better. So let's look at the data as a bar chart. "
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:47:39.803018Z",
"start_time": "2020-03-17T00:47:39.407836Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"nums=Top.AtomicNumber.tolist() # get a list of Atomic Numbers\n",
"plt.bar(nums,Normalized) # this makes the bar chart\n",
"plt.xticks(visible=False) # HA! we can turn the x tick labels off!\n",
"\n",
"for k in range(len(syms)): # and label the bars this way instead\n",
" plt.text(nums[k] ,Normalized.tolist()[k],syms[k],va='bottom',ha='center')\n",
"# notice how we had to turn the Series Normalized into a list for this"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What if we wanted to show the pie chart and the line plot on the same chart? Subplots are nice, but they don't work well if you want to use a more unconventional layout. To do this, we can use a handy matplotlib plot type called **GridSpec**. This allows us to put plots wherever we want within a box."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"ExecuteTime": {
"end_time": "2020-03-17T00:50:50.457524Z",
"start_time": "2020-03-17T00:50:49.913208Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#Setting up the grid\n",
"\n",
"#Plot a figure with a 16 by 8 canvas size.\n",
"plt.figure(figsize=(16,8))\n",
"\n",
"#Plot a grid with 16 spaces by 8 for a plot. Have a gap size of 5 between each subplot.\n",
"Grid=plt.GridSpec(8,16,wspace=5,hspace=5)\n",
"\n",
"#Creating the Line plot for the solar abundance\n",
"#This next line says that the box for our plot will go from 0 to 4 in the plot's y coordinates \n",
"#and 0 to 12 in the plot's x coordinates\n",
"#We call this axis that we're going to plot onto \"line_solar\"\n",
"line_solar=plt.subplot(Grid[0:4,0:12]) \n",
"\n",
"#Plot the line graph onto our new canvas\n",
"line_solar.plot(Solar.AtomicNumber,np.log10(Solar.Solar),'k-') #Plot the line\n",
"line_solar.plot(Solar.AtomicNumber,np.log10(Solar.Solar),'ko') #Plot the dots\n",
"line_solar.set_xlabel('Atomic Number')\n",
"line_solar.set_ylabel('Solar Abundance')\n",
"\n",
"#Now let's add the pie chart axis, this will go from spaces 0 to 4 in the y axis and 12 to 16 on the x axis\n",
"pie_solar=plt.subplot(Grid[0:4,12:16])\n",
"\n",
"#Now we're going to make the pie chart for the solar abundances the same way we did in the above part\n",
"TopSolar=Solar[Solar.Solar>100] #>100 because the top two elements are so much larger than anything else\n",
"totalSolar= TopSolar.Solar.sum() #sum for normalizing\n",
"NormalizedSolar=TopSolar.Solar/totalSolar #normalize\n",
"symsSolar=TopSolar.Symbol.tolist()\n",
"\n",
"#Plot onto our pie_solar axis\n",
"pie_solar.pie(NormalizedSolar,labels=symsSolar)\n",
"pie_solar.set_title('Solar Abundances')\n",
"\n",
"#Now let's do the same thing for the line plot for crustal abundances\n",
"line_crust=plt.subplot(Grid[4:8,0:12])\n",
"line_crust.plot(Crust.AtomicNumber,np.log10(Crust.Crust),'k-')\n",
"line_crust.plot(Crust.AtomicNumber,np.log10(Crust.Crust),'ko')\n",
"line_crust.set_xlabel('Atomic Number')\n",
"line_crust.set_ylabel('Crustal Abundance')\n",
"\n",
"#And the same for the pie chart\n",
"pie_crust=plt.subplot(Grid[4:8,12:16])\n",
"pie_crust.pie(Normalized,labels=syms);\n",
"pie_crust.set_title('Crustal Abundances');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With GridSpec, we can make some very unusual layouts, for example, if we wanted to swap the pie chart for the crustal abundances to the left, but leave the one for the solar abundances on the right. To do this we would make our pie chart coordinates `[4:8,0:4]` and our line chart coordinates `[4:8,4:16]`. As a general rule, subplots are useful if you just want to divide your plot into equal parts the same shape. Gridspec is useful when you want to make a more complicated plot layout."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exceptions\n",
"\n",
"It's time for a little chat about bugs. We all have them. Nothing to be ashamed of. But you need to know how to deal with them. How should your code handle errors? Should it notify the user? Stop working entirely? Ignore the error and continue? You can control how your code responds to errors, by catching **exceptions** (errors) and handling them however you choose. \n",
"\n",
"Have you noticed that whenever you write improper code, the error type is defined? For example, the cell below throws a **NameError** because we haven't defined the variable **abcdef**."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'abcdef' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mprint\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mabcdef\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;31mNameError\u001b[0m: name 'abcdef' is not defined"
]
}
],
"source": [
"print (abcdef)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The error crashes the code and prevents any of the following commands from executing. We could catch this **exception** and allow the program to continue. The syntax for exceptions is as follows:\n",
"\n",
"**try:** \n",
" \n",
" statement \n",
" \n",
"**except (** ExceptionType**):** \n",
"\n",
" statement \n",
"\n",
"The first statement is attempted. If that statement throws an **exception** and the **exception** is included in **ExceptionType**, then the second statement is executed and the program continues. \n",
"\n",
"Here's our original example, but this time, we'll catch any **NameError** exceptions:"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"This variable does not exist\n",
"See I didn't crash! I just told you what went wrong!\n"
]
}
],
"source": [
"try:\n",
" print (abcdef)\n",
"except(NameError):\n",
" print ('This variable does not exist')\n",
"\n",
"print (\"See I didn't crash! I just told you what went wrong!\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's another example:"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"(\"name 'abcdef' is not defined\",)\n",
"name 'abcdef' is not defined\n"
]
}
],
"source": [
"try:\n",
" print (abcdef)\n",
"except Exception as inst: # call the Exception instance inst\n",
" #print (Exception.__class__.__name__)\n",
" print (type(inst)) # print the type of Exception\n",
" print (inst.args) # print any arguments of the instance\n",
" print (inst) # print out the error message"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These messages give you a clue how to fix the problem (in this case, by defining **abcdef**). These clues can be used for various debugging strategues like what to do for different types of errors. "
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"I could do something else here\n"
]
}
],
"source": [
"try:\n",
" print (abcdef)\n",
"except KeyError:\n",
" print ('I could do one thing here')\n",
"except NameError: \n",
" print ('I could do something else here')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For more information about Exceptions:\n",
"\n",
"https://docs.python.org/3/tutorial/errors.html"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
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"name": "ipython",
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},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
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