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@@ -281,7 +281,7 b' class NotebookHandler(web.RequestHandler):' | |||
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281 | 281 | last_mod, name, data = nbm.get_notebook(notebook_id, format) |
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282 | 282 | if format == u'json': |
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283 | 283 | self.set_header('Content-Type', 'application/json') |
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284 |
self.set_header('Content-Disposition','attachment; filename="%s. |
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284 | self.set_header('Content-Disposition','attachment; filename="%s.ipynb"' % name) | |
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285 | 285 | elif format == u'py': |
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286 | 286 | self.set_header('Content-Type', 'application/x-python') |
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287 | 287 | self.set_header('Content-Disposition','attachment; filename="%s.py"' % name) |
@@ -1,68 +1,63 b'' | |||
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1 | <?xml version="1.0" encoding="utf-8"?> | |
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2 | <notebook> | |
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3 |
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4 | <nbformat>2</nbformat> | |
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5 | <worksheets> | |
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6 | <worksheet> | |
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7 | <cells> | |
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8 | <markdowncell> | |
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9 | <source># Distributed hello world | |
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10 | ||
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11 | Originally by Ken Kinder (ken at kenkinder dom com)</source> | |
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12 | </markdowncell> | |
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13 | <codecell> | |
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14 | <input>from IPython.parallel import Client</input> | |
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15 | <language>python</language> | |
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16 | <prompt_number>3</prompt_number> | |
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17 | <collapsed>1</collapsed> | |
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18 | <outputs /> | |
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19 | </codecell> | |
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20 | <codecell> | |
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21 | <input>rc = Client() | |
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22 | view = rc.load_balanced_view()</input> | |
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23 | <language>python</language> | |
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24 | <prompt_number>4</prompt_number> | |
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25 | <collapsed>1</collapsed> | |
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26 | <outputs /> | |
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27 | </codecell> | |
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28 | <codecell> | |
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29 | <input>def sleep_and_echo(t, msg): | |
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30 | import time | |
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31 | time.sleep(t) | |
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32 | return msg</input> | |
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33 | <language>python</language> | |
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34 | <prompt_number>5</prompt_number> | |
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35 | <collapsed>1</collapsed> | |
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36 | <outputs /> | |
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37 | </codecell> | |
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38 | <codecell> | |
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39 | <input>world = view.apply_async(sleep_and_echo, 3, 'World!') | |
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40 | hello = view.apply_async(sleep_and_echo, 2, 'Hello') | |
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41 | </input> | |
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42 | <language>python</language> | |
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43 | <prompt_number>6</prompt_number> | |
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44 | <collapsed>1</collapsed> | |
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45 | <outputs /> | |
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46 | </codecell> | |
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47 | <codecell> | |
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48 | <input>print "Submitted tasks:", hello.msg_ids, world.msg_ids | |
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49 | print hello.get(), world.get()</input> | |
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50 | <language>python</language> | |
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51 | <prompt_number>7</prompt_number> | |
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52 | <collapsed>0</collapsed> | |
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53 | <outputs> | |
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54 | <output> | |
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55 | <output_type>stream</output_type> | |
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56 | <text>Submitted tasks: [&apos;9e533683-d54e-4588-929e-984dd3eb6dc4&apos;] [&apos;90395f15-723f-44df-a743-a5d88cdeb6a0&apos;] | |
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57 | Hello</text> | |
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58 | </output> | |
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59 |
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60 | <output_type>stream</output_type> | |
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61 | <text>World!</text> | |
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62 | </output> | |
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63 | </outputs> | |
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64 | </codecell> | |
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65 | </cells> | |
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66 | </worksheet> | |
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67 | </worksheets> | |
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68 | </notebook> | |
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1 | { | |
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2 | "nbformat": 2, | |
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3 | "name": "helloworld", | |
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4 | "worksheets": [ | |
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5 | { | |
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6 | "cells": [ | |
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7 | { | |
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8 | "source": "# Distributed hello world\n\nOriginally by Ken Kinder (ken at kenkinder dom com)", | |
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9 | "cell_type": "markdown" | |
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10 | }, | |
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11 | { | |
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12 | "cell_type": "code", | |
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13 | "language": "python", | |
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14 | "outputs": [], | |
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15 | "collapsed": true, | |
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16 | "prompt_number": 3, | |
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17 | "input": "from IPython.parallel import Client" | |
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18 | }, | |
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19 | { | |
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20 | "cell_type": "code", | |
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21 | "language": "python", | |
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22 | "outputs": [], | |
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23 | "collapsed": true, | |
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24 | "prompt_number": 4, | |
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25 | "input": "rc = Client()\nview = rc.load_balanced_view()" | |
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26 | }, | |
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27 | { | |
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28 | "cell_type": "code", | |
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29 | "language": "python", | |
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30 | "outputs": [], | |
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31 | "collapsed": true, | |
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32 | "prompt_number": 5, | |
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33 | "input": "def sleep_and_echo(t, msg):\n import time\n time.sleep(t)\n return msg" | |
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34 | }, | |
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35 | { | |
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36 | "cell_type": "code", | |
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37 | "language": "python", | |
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38 | "outputs": [], | |
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39 | "collapsed": true, | |
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40 | "prompt_number": 6, | |
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41 | "input": "world = view.apply_async(sleep_and_echo, 3, 'World!')\nhello = view.apply_async(sleep_and_echo, 2, 'Hello')\n" | |
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42 | }, | |
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43 | { | |
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44 | "cell_type": "code", | |
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45 | "language": "python", | |
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46 | "outputs": [ | |
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47 | { | |
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48 | "output_type": "stream", | |
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49 | "text": "Submitted tasks: ['9e533683-d54e-4588-929e-984dd3eb6dc4'] ['90395f15-723f-44df-a743-a5d88cdeb6a0']\nHello" | |
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50 | }, | |
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51 | { | |
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52 | "output_type": "stream", | |
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53 | "text": "World!" | |
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54 | } | |
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55 | ], | |
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56 | "collapsed": false, | |
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57 | "prompt_number": 7, | |
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58 | "input": "print \"Submitted tasks:\", hello.msg_ids, world.msg_ids\nprint hello.get(), world.get()" | |
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59 | } | |
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60 | ] | |
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61 | } | |
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62 | ] | |
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63 | } No newline at end of file |
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@@ -1,2054 +1,241 b'' | |||
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1 | <?xml version="1.0" encoding="utf-8"?> | |
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2 | <notebook> | |
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3 | <name>mcpricer</name> | |
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4 | <nbformat>2</nbformat> | |
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5 | <worksheets> | |
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6 | <worksheet> | |
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7 | <cells> | |
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8 | <markdowncell> | |
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9 | <source># Parallel Monto-Carlo options pricing</source> | |
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10 | </markdowncell> | |
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11 | <markdowncell> | |
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12 |
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13 | </markdowncell> | |
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14 | <codecell> | |
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15 | <input>import sys | |
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16 | import time | |
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17 | from IPython.parallel import Client | |
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18 | import numpy as np | |
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19 | from mckernel import price_options | |
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20 | from matplotlib import pyplot as plt</input> | |
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21 | <language>python</language> | |
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22 | <prompt_number>1</prompt_number> | |
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23 | <collapsed>1</collapsed> | |
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24 | <outputs /> | |
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25 | </codecell> | |
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26 | <codecell> | |
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27 | <input>cluster_profile = "default" | |
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28 | price = 100.0 # Initial price | |
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29 | rate = 0.05 # Interest rate | |
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30 | days = 260 # Days to expiration | |
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31 | paths = 10000 # Number of MC paths | |
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32 | n_strikes = 5 # Number of strike values | |
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33 | min_strike = 90.0 # Min strike price | |
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34 | max_strike = 110.0 # Max strike price | |
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35 | n_sigmas = 5 # Number of volatility values | |
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36 | min_sigma = 0.1 # Min volatility | |
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37 | max_sigma = 0.4 # Max volatility</input> | |
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38 | <language>python</language> | |
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39 | <prompt_number>2</prompt_number> | |
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40 | <collapsed>1</collapsed> | |
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41 | <outputs /> | |
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42 | </codecell> | |
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43 | <codecell> | |
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44 | <input>strike_vals = np.linspace(min_strike, max_strike, n_strikes) | |
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45 | sigma_vals = np.linspace(min_sigma, max_sigma, n_sigmas)</input> | |
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46 | <language>python</language> | |
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47 | <prompt_number>3</prompt_number> | |
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48 | <collapsed>1</collapsed> | |
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49 | <outputs /> | |
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50 | </codecell> | |
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51 | <markdowncell> | |
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52 | <source>## Parallel computation across strike prices and volatilities</source> | |
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53 | </markdowncell> | |
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54 | <markdowncell> | |
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55 | <source>The Client is used to setup the calculation and works with all engines.</source> | |
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56 | </markdowncell> | |
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57 | <codecell> | |
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58 | <input>c = Client(profile=cluster_profile)</input> | |
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59 | <language>python</language> | |
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60 | <prompt_number>4</prompt_number> | |
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61 | <collapsed>1</collapsed> | |
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62 |
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|
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63 | </codecell> | |
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64 | <markdowncell> | |
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65 | <source>A LoadBalancedView is an interface to the engines that provides dynamic load | |
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66 | balancing at the expense of not knowing which engine will execute the code.</source> | |
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67 | </markdowncell> | |
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68 | <codecell> | |
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69 | <input>view = c.load_balanced_view()</input> | |
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70 | <language>python</language> | |
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71 | <prompt_number>5</prompt_number> | |
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72 | <collapsed>1</collapsed> | |
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73 | <outputs /> | |
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74 | </codecell> | |
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75 | <codecell> | |
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76 | <input>print "Strike prices: ", strike_vals | |
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77 | print "Volatilities: ", sigma_vals</input> | |
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78 | <language>python</language> | |
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79 | <prompt_number>6</prompt_number> | |
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80 | <collapsed>0</collapsed> | |
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81 | <outputs> | |
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82 | <output> | |
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83 | <output_type>stream</output_type> | |
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84 | <text>Strike prices: [ 90. 95. 100. 105. 110.] | |
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85 | Volatilities: [ 0.1 0.175 0.25 0.325 0.4 ]</text> | |
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86 | </output> | |
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87 |
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88 | </codecell> | |
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89 | <markdowncell> | |
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90 | <source>Submit tasks for each (strike, sigma) pair.</source> | |
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91 | </markdowncell> | |
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92 | <codecell> | |
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93 | <input>t1 = time.time() | |
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94 | async_results = [] | |
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95 | for strike in strike_vals: | |
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96 | for sigma in sigma_vals: | |
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97 | ar = view.apply_async(price_options, price, strike, sigma, rate, days, paths) | |
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98 | async_results.append(ar)</input> | |
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99 | <language>python</language> | |
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100 | <prompt_number>7</prompt_number> | |
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101 | <collapsed>1</collapsed> | |
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102 | <outputs /> | |
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103 | </codecell> | |
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104 | <codecell> | |
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105 | <input>print "Submitted tasks: ", len(async_results)</input> | |
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106 | <language>python</language> | |
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107 | <prompt_number>8</prompt_number> | |
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108 | <collapsed>0</collapsed> | |
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109 | <outputs> | |
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110 | <output> | |
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111 | <output_type>stream</output_type> | |
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112 | <text>Submitted tasks: 25</text> | |
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113 | </output> | |
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114 | </outputs> | |
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115 | </codecell> | |
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116 | <markdowncell> | |
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117 | <source>Block until all tasks are completed.</source> | |
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118 | </markdowncell> | |
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119 | <codecell> | |
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120 | <input>c.wait(async_results) | |
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121 | t2 = time.time() | |
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122 | t = t2-t1 | |
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123 | ||
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124 | print "Parallel calculation completed, time = %s s" % t</input> | |
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125 | <language>python</language> | |
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126 | <prompt_number>9</prompt_number> | |
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127 | <collapsed>0</collapsed> | |
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128 | <outputs> | |
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129 |
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130 | <output_type>stream</output_type> | |
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131 | <text>Parallel calculation completed, time = 2.57819604874 s</text> | |
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132 | </output> | |
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133 |
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134 | </codecell> | |
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135 | <markdowncell> | |
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136 | <source>## Process and visualize results</source> | |
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137 | </markdowncell> | |
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138 | <markdowncell> | |
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139 | <source>Get the results using the `get` method:</source> | |
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140 | </markdowncell> | |
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141 | <codecell> | |
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142 | <input>results = [ar.get() for ar in async_results] | |
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143 | </input> | |
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144 |
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145 | <prompt_number>10</prompt_number> | |
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146 | <collapsed>1</collapsed> | |
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147 | <outputs /> | |
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148 | </codecell> | |
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149 | <markdowncell> | |
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150 | <source>Assemble the result into a structured NumPy array.</source> | |
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151 | </markdowncell> | |
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152 | <codecell> | |
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153 | <input>prices = np.empty(n_strikes*n_sigmas, | |
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154 | dtype=[('ecall',float),('eput',float),('acall',float),('aput',float)] | |
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155 | ) | |
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156 | ||
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157 | for i, price in enumerate(results): | |
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158 | prices[i] = tuple(price) | |
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159 | ||
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160 | prices.shape = (n_strikes, n_sigmas) | |
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161 | strike_mesh, sigma_mesh = np.meshgrid(strike_vals, sigma_vals)</input> | |
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162 | <language>python</language> | |
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163 | <prompt_number>11</prompt_number> | |
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164 | <collapsed>1</collapsed> | |
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165 | <outputs /> | |
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166 | </codecell> | |
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167 | <markdowncell> | |
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168 | <source>Plot the value of the European call in (volatility, strike) space.</source> | |
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169 | </markdowncell> | |
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170 | <codecell> | |
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171 | <input>plt.contourf(sigma_mesh, strike_mesh, prices['ecall']) | |
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172 | plt.axis('tight') | |
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173 | plt.colorbar() | |
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174 | plt.title('European Call') | |
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175 | plt.xlabel("Volatility") | |
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176 | plt.ylabel("Strike Price")</input> | |
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177 | <language>python</language> | |
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178 | <prompt_number>12</prompt_number> | |
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179 | <collapsed>0</collapsed> | |
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180 | <outputs> | |
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181 | <output> | |
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182 | <output_type>pyout</output_type> | |
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183 |
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184 | <prompt_number>12</prompt_number> | |
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185 | </output> | |
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186 | <output> | |
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187 | <output_type>display_data</output_type> | |
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188 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVdjQUFBRWFDQVlBQUFETkJKYVNBQUFBQkhOQ1NWUUlD | |
|
189 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUlBQkpSRUZVZUp6czNYZDBW | |
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190 | SFgrLy9Ibm5abk1wUGRPR2hCcWVrSUtoRlNLdEFpc3FMQkhYWVhkClZYQVY2Mzczck4vZmQ4SHZy | |
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191 | cTZ1KzdVZ1NuSEJnb2h0RlJSQlFFM29DU1doaHA3UU5RUklTRWdqeWYzOWdXUkJVbWFTbWJsVFBv | |
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192 | OXoKY2s2bTNEdnYzQ1N2dWZPNW55TEpzaXdqQ0lJZ1dCU1YwZ1VJZ2lBSXR4UGhMQWlDWUlGRU9B | |
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193 | dUNJRmdnRWM2Q0lBZ1dTSVN6SUFpQwpCUkxoTEFpQ1lJRkVPQXVDRVVWRVJQRDk5OThETUdmT0hP | |
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196 | SXNveTEKakhWYXUzWXRvMGFOb20vZnZxeGR1NVpUcDA3eDV6Ly9tWTgvL3RqZ2ZWbkx6eXhZSmhI | |
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198 | Q3dzS1lQWHMyUjQ4ZWJkcytPenVidi8zdGIrVG01aElTRXNMZi8vNTNybDY5CjJ2YjQ4ZVBIK2VN | |
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207 | RzJiVWFOR2taZVhSOSsrZmZuakgvL0kxMTkvRGNEMzMzOVBYRndjRHo3NElHNXVianp3d0FQNCt2 | |
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212 | M2IyYmF0R21FaDRmajZlbEoKVVZFUmUvZnViZHRYVUZBUXZyNitBR2cwR254OWZUbDc5dXh0OVlh | |
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213 | R2hnS3dkZXZXRG4rbTJ0cGFacytlVFhKeU1oNGVIano1NUpPMwp2SllnR0lzSVo2RmJldlhxeFU4 | |
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215 | CjRlcnFTbTV1THRuWjJiZThTZFRVMVBEMDAwOGp5eklQUC93d1dWbFo3TjY5bTZxcUtsSlNVcnAx | |
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216 | TVM0b0tJakl5RWhXclZyVjRYUG0KejUvUDRjT0grZVNUVDZpcXF1TFZWMTl0YTJjWEJHTVM0U3gw | |
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220 | KzllNnV2citlNjc3OW91ZnA0N2R3NHYKTHkvOC9mM1pzV01IYjc3NVpyZGZTeEE2SThKWjZGUmVY | |
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221 | dDR0L1p6dnV1c3VBUHIwNmNPY09YTzQ1NTU3bURadEdyLzk3Vzl2YStyNAo1ZTIxYTlkeTl1eFpF | |
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222 | aElTT0gzNk5HdlhycjNsdVk4Kytpai85My8vUjBaR0JqazVPVHozM0hNQXFOVnE4dlB6T1h6NE1F | |
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223 | bEpTWVNGCmhmSFBmLzRUV1piUjZYUzgvdnJyUFAvODgwUkdSckp6NTA2bVRwM2FhUjJkdWVPT08x | |
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612 | aWNXZEhtcWJxCisxN0dtTmRPSEhnQ0J4L2hZeDBPQjUzUDUvR3ZKSUJMMksyQmoyU3RWVlZWT3Ax | |
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614 | Z250aDhxdm9BQUFBQVNVVk9SSzVDWUlJPQo= | |
|
615 | </png> | |
|
616 | </output> | |
|
617 | </outputs> | |
|
618 | </codecell> | |
|
619 | <markdowncell> | |
|
620 | <source>Plot the value of the Asian call in (volatility, strike) space.</source> | |
|
621 | </markdowncell> | |
|
622 | <codecell> | |
|
623 | <input>plt.contourf(sigma_mesh, strike_mesh, prices['acall']) | |
|
624 | plt.axis('tight') | |
|
625 | plt.colorbar() | |
|
626 | plt.title("Asian Call") | |
|
627 | plt.xlabel("Volatility") | |
|
628 | plt.ylabel("Strike Price")</input> | |
|
629 | <language>python</language> | |
|
630 | <prompt_number>13</prompt_number> | |
|
631 | <collapsed>0</collapsed> | |
|
632 | <outputs> | |
|
633 | <output> | |
|
634 | <output_type>pyout</output_type> | |
|
635 | <text>&lt;matplotlib.text.Text at 0x2e14610&gt;</text> | |
|
636 | <prompt_number>13</prompt_number> | |
|
637 | </output> | |
|
638 | <output> | |
|
639 | <output_type>display_data</output_type> | |
|
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781 | Wnd3MFRLY1RrSnpERXUyREtPaFZUZHZhOGxOME0xZjBkaXVreEM2OUN6dzJ5UmEKaFUyMGUvUmlZ | |
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783 | bzl5V0FCQTNBMwpnNHEvbU1nQ2Fjd3VoelJuZTlJM0ZVTDFsWFJ5MFh3Yit3UDF2NXpoVFg4V01J | |
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785 | WTNlem5IdFlheHVDd0xWUnF6UytKZXIyWkhFaGFydTZTVC9iM0cwbURTZCtpY0IyWSsKNVE3TzZX | |
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786 | Zjd4QzVFdGdYeTBlWmNtdHJkTDduR1haRG1iQzlHSklKQjg1bndIVFFHamRaOVAwQWpQcXpsSGc3 | |
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788 | Y0xNbkVYL1ZreDY2UkhLbVh6V2hkSFduTzlpQTNBenowCjB5bmtjTXp0MUhrMGk1YlJRL0w1QnYx | |
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790 | Uk1weUtRVlc0ZENTYjRsT3lGck83SU0yNXAyUmtnOTlKMFNxc1FqWDRVeEliZ1g1SyszV0d3aVp1 | |
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791 | bzk3Tlhycitwekw0L0xETApaQXBKck1DOVh1R09JRk0vRmR5T1I0L25ncWRPTWkyN29JMXhsS0Nq | |
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792 | T2l0MklQcjhRRDdZMjF1MERJbVRrZWJjRS9vT2h0RGRvbFZZCnhTVy9vV3dOMVYvMjR0VjRFY3NT | |
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793 | RWtYTGNDcnhGeE1wMk9sZVN6aVN5MGh6N2duWitwakJxWW8zcFhFSnVsN09VREN5bGx0b2RxT1gK | |
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794 | ck16K3N3MGZBMlJiMmIxRUQ3alBLOTNlaFBhQ1dIMGtuWnlLbXNCWnI0dWlaZlNJUm01enE5ck1N | |
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796 | Zkw3VVpwemR4blJWeGRKSjYwK2d5Z0wxM2VqVm04U2VaYzQwVEtjCmhzeitzNDMrSm1BaGZGY2lX | |
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797 | c2xsSG52c01WYXZYbjNOWTNQbnppVStQcDU5Ky9ZUkd4dkx2SG56TEk0anpiazdlQWRBUCswbm5h | |
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798 | aVkKMkJxWGpLcmp5WmNCRDc0ZzMyMTY0TW5zUDl2SVV1RG9iRGgxV0xTU2Y1R1hsNGZaYkw3bXNk | |
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800 | aVROY2pzUDl2SXI0ZXlXZENvZzVkNFdWa1p5Y25KQUNRbkoxTmFhbmxKCjFMMnF4ZGdEeFFDRDk0 | |
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801 | dFdZWkUyNy82VVJPZzdiTTZMQVN6QVBXSjdaZmFmOVJpQjRWVlF0Tml4MTZuMzdMeks1THJTTnRh | |
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802 | VlhkM08KN1pMRnNWVFY5aVZRaStiYzNOek1wNTkrU2xGUkVXKysrU2I3OXUzanUrKys0KzY3Nzdi | |
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803 | NVlpNUJlcmJtTzUyb0dOZ1JtMGFiUWIraApjMGE4K1FjajNLSStzOHorczU1QUl5U3VoL1ZmT1A1 | |
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804 | YVg2ZU02dnlKRk1qNThWVy92L21seGJHeXNyS29yS3drSXlPRHlzcEtzckt5CkxKNWo4WlgvKzkv | |
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805 | L25xMWJ0MUpZV0FoQVRFd012LzN0YnkwTzdMSU0xZjUzcUF2aGQzSFVUNy9HREZETmVBN2lIdXV1 | |
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806 | TXZ2UE91Sk0KRVBvUmJIZUNNZHVibkp3Y0Nnb0thR3hzcEtDZ2dOemNYSXZuV0RUbmI3LzlsdG16 | |
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807 | WitQcGVmbU40dWZuMTYwcHVrdVFPQmhDSzBTcgp1Q250bnIzWkdOVW1Xa2FQOEdJd0h4RWhXb1pU | |
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808 | aUQ0bnMvK3NZYkFSTHI0QmgzYUlWbUtacVZPbk1tTEVDUGJ1M1V0Y1hCeUxGaTFpCnhvd1pIRGx5 | |
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809 | aEFFREJuRDgrSEdlZU9JSmkrTllYTllZTUdBQU5UWC9tb1Z0MnJTSmpJeU1ucW5YS3pwSU9xbUl5 | |
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810 | NmJWb04rMlV5YjgKK0J2WnVFUGlSZnpGUk9idmt0bC9saGplQnB2L0RKZWFSQ3V4anZmZWU2L1R4 | |
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811 | NWN2WDI3VE9CYk4rZW1ubjJiU3BFa2NPM2FNc1dQSApjdXJVS2Q1OTkxMmJMdUlTaFBhQ09HMG5u | |
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812 | ZFNGak9lUXYzNk5HZUFJZDNMTURZcm5KelRITUY5bS8xa2sveHdVelJHdFFnd1d6VGtyCks0dHZ2 | |
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813 | LzJXTFZ1MjBON2VidFZDdGtzeW9pOFlqb3RXMFNXcVJ6UWJZNHhBdThWanRZb0hRMWxCaUdnWkRr | |
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814 | ZG0vMW5HVTRHaHU2SG8KQTlGS3hHRnh6Zm52Zi84N0Z5NWNZT2pRb1dSbFpYSGh3Z1UrL1ZRRE9a | |
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815 | TE94TnNma3JhS1ZuRlR2b3ZObzhsb09hUkhxM2dReFB0awo0T296U1puOVo1bFFJL1JiQXh2ZDJK | |
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816 | akJDbk9lTldzV3djSEJIYjhIQndjemMrWk1SMnJTSHJtWjRLbmQyaFQxd2Jld04xRGZ5eGw3CnVa | |
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817 | UFR1TFpoaGNqc1A0djBOWUgzTzFDeFRyUVM4VmcwWjI5dmJ4b2FHanArYjJob3dHaDA3VGZSTlNn | |
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818 | R0dIeEF0SW91VVUxaGJPeWwKNzR3eUk3bDhRWkJvR1E3RlgvV2tYR2IvM1pSTUE1eDZHWTVyUDhm | |
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819 | TEtWaGNjNzcvL3Z1Wk1XTUdNMmJNUUZWVjVzMmJ4d01QUE9BTQpiZG9nUFF2OE5GSlJwUk1POXJx | |
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820 | RkJwTisyMDU1RXNvN0RCWXR3NkhJN0QvTDVEVkQ4VXZRM2lwYWlYYXdhTTVQUHZra0gzNzRJWC80 | |
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821 | Cnd4OVFWWlg3N3J2UHZjdzVVN3MxTkpvQzg2Z0lPb2VlMTJsM2NBYzFMcnljSWJQL2JvNEM1SjJB | |
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822 | b2dXaWxXZ1BpK2JzNit2TG80OCsKeXFPUFB1b0VPUnFqenlBSTNTVmFSYWVvaGlBMnhZYUFvdWY2 | |
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823 | R2ZrVUVpQmFoRVB4UDVYQkJ6TDdyMVA4REpCU0JrWC9FSzFFbTNScAp6czg4OHd5dnYvNDZFeWRP | |
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824 | dk9FNVJWRllzV0tGUTRWcGdwd0F6VTVLai9TNmcxb1AvVzRDZWhISld5N2VRVHY2M0VBS1pQWmZw | |
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825 | MFNiCndQOFQyS3o5eXJ2QzZOS2NIM25rRVFCKytjdGYzcEN1cmVpNDNaSFZoUGFDT0cydU5iZjRa | |
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826 | MU51UG85bVB6a3M0dm9kdEdYMlg5ZWsKbU9ETWZOaDNWTFFTYmRPbE9ROGRPcFRXMWxZV0xGakFY | |
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827 | Ly82VjJkcTBnWWFUVHBSRGI2VXhQWUNSYnRyNFpadzlRN2FNdnV2YTNKVQpLUDh6TkdrM01sVXoz | |
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828 | SFRxWWpLWnFLcXE0dlRwMDg3U293MDBuSFR5ZmVTZG5QZlNyekY3RWVmU0hiUmw5bC9YNU5kQ3lm | |
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829 | UFNtSzNGCjRvYmdvRUdEeU12TDQrNjc3eVk2K3ZMR2hxSW9QUGZjY3c0WEo0eWNUUEFzRXEzaUJs | |
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830 | UlRKTnZDOUd2TWx6dG9qM1BaRHRveSs2OXoKVEFyazdJT2lwYUtWNkF1TDVod1RFOE1ERHp5QW9p | |
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831 | aFdkWXpWUFlvQlVyV1pkUEo5eENoYURkcXZKOTBWcnR4QlcyYi9kVTZ3RVJJSwpvZmhyMFVyMHgw | |
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832 | M04rZno1OCtUbTVwS2ZuNCt2YitjdFcxeU9ORzBtbmFqR1VNcERHaXdmcUZHOFNXU2hpM2JRbHRs | |
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833 | L25aTmdBcFpCCitXN1JTdlJKbDk4dkZ5NWN5SkFoUTNqenpUZnAzNysvK3hRN0dxck5aWVBxOE5H | |
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834 | MEdQVlpSTitWTzJqTDdML09TVFBDaGRmaHNEVG0KYnRQbHpQbWRkOTZodkx5Y2tKQVFEaDQ4eURQ | |
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835 | UFBNT2tTWk9jcWMzNTlCbW95YVFUMVdobVc1aE9LbzEzZ3F0MjBEYW9DaTB5Kys4RwpSclpDeVo5 | |
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836 | dWsrUVlBQUFnQUVsRVFWU2d0Vm0wRW4zVDVWU212cjZla0pETHRYVVRFeE01Zmx4N1lXVjJKenRR | |
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837 | azlGUFo4TEgwR0xVClo5RUJMd2J3bm90MjBQWS9sY0VxbWYxM0RmbW5vZmdQMHBqdFFaY3o1NE1I | |
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838 | RDE2VEhYajE3eTZaSVJnU284bE9KNm9oa0cxaExhSmwKZEFzajNxeHcwUTdhTXZ2dldyd1ZTQ3VI | |
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839 | b3IrTFZ1STZkR25PMS9lNytvLy8rSStPbjIrV0lUaHQyalJXcmx4SlJFUUVPM2Z1QktDdQpybzZI | |
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840 | SG5xSWJkdTJrWm1aeWRLbFMvSDM5d2RnenB3NXZQSEdHM2g0ZUxCZ3dRSkdqZXFpSGJtakdaRUV4 | |
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841 | aE5pcm4wVHpvYVBvOG1vCno0M0Fhc1p6eUFVN2FNdnN2MnNKTjBIWVNpalpLRnFKZGxpNGNDR0xG | |
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842 | aTJpdWJtWnZMdzhYbnZ0Tlp2SFVGUTd0OUpldDI0ZC92NysKUFBMSUl4M20vT0tMTDNMMDZGRmVm | |
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843 | dmxsL3VNLy9vUGV2WHZ6eTEvK2t1cnFhdkx6OC9ueXl5ODVkT2dRdi9qRkw5aTY5Y2JrRDBWUgpV | |
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844 | S2ZhVStWMWVQdkREQVU4dFJXbXBocjgrVHBsREEwbS9jMmN2VWpsZFlhanlYV2lIcERRSE1QOGto | |
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845 | eVpaUEpQK3BtZzdtMzQvcEJvCkpWZnhyWEpEeVFsYlVSU0Y1ZXJ0VmgxN3IvTGxOZGM3ZCs0Y1E0 | |
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846 | Y09aZGV1WGZqNCtIRDMzWGZ6ekRQUGNNY2RkOWlrd2U3Zk4vUHkKOGpDYnpkYzhWbHBheXZUcDAv | |
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847 | SHk4bUxhdEdtVWxGd09WU3NwS1dIOCtQSEV4OGN6ZXZSb1ZGV2xyazZBUVdabmFzNllBYzZIamRP | |
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848 | bApNWnZ3NDJNWDdLQXRzLyt1WlpnQ0oxN1NtREZyQUI4ZkgxUlZwYWFtaHNiR1Job2FHbTd3Ukd0 | |
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849 | d3ltSmdXVmtaeWNuSkFDUW5KMU5hCmVubHR0NlNraEpTVWxJN2pCZ3dZMFBHYzAxQVVHS0s5cEJQ | |
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850 | VjRNdjJNTHQrcVhFYVI3aVQ0NWJ6bTNSRmxNeit1NGI4QnRqeVBOVFgKaUZhaVBYeDhmSmc3ZHk2 | |
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851 | OWUvY21LaXFLa1NOSGtwMmRiZk00VnIrRG1wcWE4UGJ1WG5hWExWOHh1bHJQbnJuelh6K1BpWUF4 | |
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852 | a2QyUwpjaU1EMHNCdnU1MEdzeDhYemZsYzlORGZscmNYcVM3WFFUdFk5ZVpybWYwSGdCRVljUVNL | |
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853 | Q2tRcnVZcnpoWENoME83RG51b2l5dWk3Cnd1L1pXL2c5QUowNTIrblRwNWt4WXdhN2QrL0diRFp6 | |
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854 | Ly8zM3MzTGxTaVpNbUdEVDlTMmE4L2J0Mi9udGIzL0w3dDI3T1hUb0VOdTMKYjJmQmdnWDg1Uzkv | |
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855 | c2ZvaVdWbFpWRlpXa3BHUlFXVmxKVmxaV1FEazVPU3daczJhanVQMjdOblQ4ZHoxekV5MStuSzJr | |
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856 | YWpONUlFRAo1a0JBWC9XYUZZeXNaaGl1dEp6aHJacjRybktFelA0REFvM1F0eGpXclJhdDVEck1Z | |
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857 | eTcvdTBMVkxMc00rd24zZFA3RW1ILyt1OEtzCktkYzhYVnBhU201dUxrbEpTY0RsVm45RlJVVTJt | |
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858 | N1BGWlkwLy92R1B6SjQ5dTZNRGQzcDZPbXZYcnJYcElqazVPUlFVRk5EWTJFaEIKUVFHNXVia0Fa | |
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859 | R2RuODhVWFgzRGt5QkVLQ3dzeEdBd0VCRGk1TTBiY0tlZGV6d3JhUFh0enhGZC9mUUhieU9NN0Y0 | |
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860 | ck9NS2pRVUpYTgoxalBCbGc5MmNlSk1FUElCYk5PYU1XdVF2THc4Tm0vZXpMbHo1Mmh1Ym1iVnFs | |
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861 | WGNmcnQxbTR0WFkzSG1mT0xFQ1FZUC9sY0R6dWJtCjVwdlcyWmc2ZFNwcjE2N2w3Tm16eE1YRjhm | |
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862 | enp6ek5qeGd3ZWV1Z2hCZ3dZUUdabUpyTm56d1lnTWpLU0dUTm1NRzdjT0R3OVBaay8KZjc3Ti80 | |
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863 | RWU0UjhDUWQ4NTk1cFdjTmFjb2J0NnpTWUMrQ3RKb21YWWxhRFQ2U3c3R2lWYWhuQ0dHT0hJSExo | |
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864 | UUxWcUpQZ2dNRE9SMwp2L3Nka3lkUHBxR2hnZkhqeHpOMjdGaWJ4N0VZU2pkcjFpelMwOU9aT1hN | |
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865 | bXk1Y3Y1NDAzM2lBb0tJamYvZTUzM1Jadkt3NExwY3NjCkRyZHBMeml6T0hrU1o3MzBGZHQ4am52 | |
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866 | NUVOY3hzcmphZml6WTdxaTFOUDB3OGhLVXZLeXpqRDg3aGRMZHFmN05xbU5YS1ZONmZMM08Kc0xp | |
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867 | czhjd3p6N0J0MnpiYTJ0cTQ4ODQ3Q1E0TzV1bW5uN2E3RUNIMDFsN20yaVcvVE4wWnN4ZHgvSTBJ | |
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868 | MFRMc1JrSnpEQXUyRDdaOApvQXVqQVBtbm9QaVBPak5tRjhLaU8yM2N1SkdaTTJleVk4Y09LaW9x | |
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869 | K08xdmY4dDc3NzNuREcyT0owWjdBWm9uelgxRlM3Q1piUzVVCmNhNVhxNWtsVzF4clU5TldmQTB3 | |
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870 | YkJzVXpSV3R4TDJ4K0k3Nm4vLzVINzcrK2wrVnNsOTg4VVhYS0I4YUVROSsya3JYVmhVdjlnVHIK | |
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871 | YTlic1NRWkYrSXVXWVJkQzIzMVp1WDA0RGEydUZhTnRDOUVtaUYwQlpjc3RIeXR4TEJaZmhTdFdy | |
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872 | T0R1dSsvRzA5T1QxYXRYczJmUApIdGNvZXRRdkFUZ2lXc1UxTkFZT3A4bDRTYlFNcTFFdzhUbnBv | |
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873 | bVhZQlYvVmcvS0tFWnhzY00xT0xkWXcwQVRWYzJHdkd4U2cxQU1XCnpUa3NMSXdWSzFad3l5MjNN | |
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874 | R3pZTUQ3KytPT2JGajdTRFFuYVcwZzdhbzVBVDdITnJlU3ozd1ZDNTR5cXdvV0RPZXgwNDRMNXVl | |
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875 | MncKN1FWbzF0Y1hONWVtUzNQMjkvZS94b1JiV2xvNGRPaFFoem5YMXRZNlJhQkRVQlNJMkNOYXhU | |
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876 | V294bEQyQmVySG1EMElZcG1MZE5IMgovVDZUejQ2N3pvYW1yWXcrRDJ2bjBIbTZtMFFZWFpxelN6 | |
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877 | ZHpUVWdCTDIzMXo2azE1OUN1NktlZy9rbkdVWXYrNjB6MHVwRE1XL3NTClJNc1FncGNDbVpXdzlu | |
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878 | M1JTaVNkMGFVNTc5bXpoK1RrNUU1TGVBSmtabVk2VEpURFNRb1RyZUFHOXB2OUFIMVVrZkVtZ2Ir | |
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879 | anZYdG8KS3dtTnNjemJrV0w1UUJja3pBZ1JYOERHOWFLVlNMcWlTM04rNVpWWFdMaHdJYzg5OTF5 | |
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880 | bmE4emZmdnV0UTRVNWxEaHRtV0NiVnhMSApmUzZnbC9DdE12SjAzOTBrdGpXVXhWdUdvcGQ3Ymsr | |
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881 | U1RGQmZBTHNQaWxZaXVSbGRtdlBDaFF0cGIyL25qMy84SXlOSGpuU21Kc2ZpCjVRdWhGYUpWWE1N | |
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882 | Wjh4QlE5TEdNNU1GUWl2RVRMYU5IaExYN3NYeXJlNWIvSEtiQTdoZWhRY2RiUnU3Q1RhYy9Cb09C | |
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883 | bi8zc1o4N1MKNGh5U1VrQkR6VkpWRkw0enQ0bVdZUlVLSmo1amlHZ1pQY0pmOWFSczUwaXFtMXl2 | |
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884 | RzdnbDh1dGg4eXhwekhyQjRuZlRpUk1uTW1mTwpISDFIWjF4TkgyM04raTc1RCtPQ1o2Tm9HVmJS | |
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885 | d2xoZDl3UTBxUWErMzUvTG5oclhTSnF4RnBNQ0l3OUIwVXRBdTJnMUVtdXhHT2Y4CjZxdXYwdERR | |
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886 | d0hQUFBZZVB6K1dhdHJvT3BZdlZWbGJnU1hNZjlCRGI3RUV3UzlGM1ZJUEhpYUdzTzZuL2pVeGJD | |
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887 | RFpDd2xvb1htUDUKV0ltMnNHak9MaFZTRnhnR2dmdEZxK2hBVlh5b0ROTEgvVDNHT0M3cU9IUXU2 | |
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888 | dHhBRmgySUV5M0RxZlEyUWZ0Zm9ieFN0QkpKZDdDNApySEhMTGJkWTlaZ3U2TjlmVTV2empVRWph | |
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889 | TkhRK25kWGVOT0hUM1FjT3BmUWtNQ2lYUU5FeTNBcTZVWTQ5eG9ja2Nhc1c3cWNPVi9wCkdudjY5 | |
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890 | R25PblR2WDhYaDFkYldZRHRuMm9MZUduQms0YkE1RkQwc2FteGlKcGo3VmJDRHVVamh2YjgxQXIv | |
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891 | cTd3NmdXMlBBaXRHdi8KYzE5eUU3bzA1L256NS9QNjY2OXo0c1FKaGc0ZDJ2RjRRa0lDeno3N3JG | |
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892 | UEUyWjFvRFMxcG1DTFpINkI5WS9ZZ2kwMDZEWjJMYkEvZwpveTA1WEdyWGQweTJ0U2hBM2drb1dp | |
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893 | QmFpY1FlZEduT3p6NzdMTTgrK3l4ejVzemg1ei8vdVRNMU9ZYW9QdUNybmZyTkY4eFpxRXFMCmFC | |
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894 | azN4WUFuSzlCbk41QkExWXQxNVNQY3BtTzJ2d0dTUzZIb005RktKUGFpeXlsRldWa1pKMCtlN0RE | |
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895 | bXp6Ly9uSWNmZnBpNWMrZlMKMEtERDBsWDl0TFVadE4rcy9kS1VUWXpoTUI2aVpkaU1wMnJrOEhm | |
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896 | RE9WQ256eG0vclFRWUlPWWZzRmthczB2UnBUbi8rNy8vTzU2ZQpsMmNkKy9mdjU3SEhIdU9XVzI2 | |
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897 | aHZMeWMzL3ptTjA0VGFEZml0Uk5MM09hZHpFa2ZiWWNpZWhMQ0J6b01uVk5VYUQrYXhhYnFFTkZT | |
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898 | Cm5JSVJTTm9BZTh0RUs1RmNUWDE5UFQvKzhZL3AzNzgvQXdjT1pOT21UVGFQMGVXeVJsdGJHNkdo | |
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899 | b1FETW1UT0hSeDk5bEVjZmZaU0gKSG5wSWYrbmNCaU5FYUdmYityUjVFS0R0VGRYRGpLTmVoL1V6 | |
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900 | d3MrbThrNVZqR2daVGlQM0lCU3ZGcTFDY2oyLy8vM3ZpWStQWi83OAorWmhNSnVycjYyMGVvMHR6 | |
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901 | TnB2Tk5EUTA0T3ZyeS9MbHkvbjQ0NDh2bjJBeTZTLzJ1VThLZU80U3JRSUFGUU43ek5yZVJ2ZW1M | |
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902 | OHZSCjM4d3pvYjRQODNZbmlaYmhORWJYd05vbG9sVklPbVBObWpWczNMZ1JiKy9MeTVkQlFVRTJq | |
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903 | OUhsMU9paGh4NGlOemVYVzIrOWxiNTkKKzVLVmxRWEF2bjM3Q0E0TzdxWmtRZlFORmEyZ2c1YUFi | |
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904 | R285dExQRTBobkZqRUJ2b1dmeExaRXMzSktHM25SM2wrRnRzUFkxMFNvawpuWEhzMkRHYW1wcVlN | |
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905 | V01HT1RrNXpKNDltNmFtSnB2SDZYTG0vSk9mL0lRSkV5YXdkKzllUm84ZTNmRzRxcXE4OGNZYjNW | |
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906 | TXRpcml6Cm9oVjBjTUtjQUp3WExhTkxUT1JRaHE5b0dUWVIxUmJFZTF1eVhhWUR1Q1dHR0dIem41 | |
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907 | R2RTeHpNOTlXZEJ4SFVGVy9oNG9iTzY5d0QKTkRVMXNYZnZYbDU2NlNWdXZmVldmdnJUbi9MaGh4 | |
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908 | L3l5Q09QMkhSOVJWVlZ6ZitKRlVWQm5kck5rNzM5NGFrR01JcXYrS0lhL1BoaQpZRDR0Um0xV29U | |
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909 | UGd4UXAreERFZFJXZ0VxOTVzMkRhV3d4ZDlSRXR4Q24xTWNQWTFxRDBqV29tRytWYWhwN2FtS0Fx | |
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910 | c3RYS00wVGRlCkx5VWxoY3JLeS90Y3ExYXRZc21TSmJ6MzNuczJhWEQ5cVVaU3NpYU1HYUErYUlS | |
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911 | bWpSbWdnYkc2TW1ZdjFjamV5aEZ1WTh5aFJtaDUKUnhxekh1alhyeDhsSlNXMHQ3ZXpjdVZLYnIz | |
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912 | MVZwdkhjSDF6VHRUT1YvVERack5vQ1YzaVNSZ2ZFQ3RhaGsyMEh4M0dsak02Mi8vbwpKdDRLUks2 | |
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913 | RzQvdEVLNUZZdzhzdnY4d3p6enhEWm1ZbTN0N2VQUERBQXphUFliRXFuZTZKT1NaYUFRRHRIakVj | |
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914 | OE5kdXV2WkJ4dEtvCm82cHpDYzNSekt2cUpWcUdVMUNBSWR1aHRGaTBFb20xOU8vZnYxdXh6VmZq | |
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915 | MmpQbjRFZ0kxRWFqdEF2bVlab05KUENtUDUraDNWbjkKOVhpcFJyN1luU1phaHRQSU93R2xuNGhX | |
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916 | SVhFMnJtM08vZnRxeGhEM21iVzdsbHRFTHBxNVVWWVFkSFlnaCtxMHMxemxTUElhWkNFagpkOFcx | |
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917 | emJtM2FBR1hhZlVaekNsdmJXWUVHaG5PVnZTem9SYlZGc1JmSy91S2x1RVVzb0IxTDR0V0lSR0Zh | |
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918 | NXR6bERaMlQ2ck55YUlsCmRJb1JiLzdPUU5FeWJHTHZnWFJhVmRkKzJRS2ttR0RueThpZWYyNk02 | |
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919 | NzdLWTVMQTU3Um9GYWdZMlJQY0xGcEdwOVF4bHBNNjJoTk8KYU9oTjhmZmF5ZlowRkwxTVVEMFht | |
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920 | blJXSlVGaVgxelhuUHRwby9oTmMwQXVGejIwWjg2ZWhQT2hqa0xuQWxSUFB0NDFXTFFNaHhObwpC | |
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921 | TThQNGV4eDBVcjBTWDZDdHFzOTJvTHJtbk84Tm1wT0h3L1JwZ0h1WXl4Tk92cnpxeWRUT2RQazJv | |
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922 | WHpQUlRvVXdpSGRvaFdvajg4ClRTckRnNytuYUxGMnFrLzJGUDI4TzIzQmFJTHczYUpWb0JvQytT | |
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923 | NndSclNNRy9CaUFLdlFUL0pHWEdzWUgrMlBGeTNENFF6YkErVmYKaTFhaFAwSURWZnJWSDJMako0 | |
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924 | ZEZTN0Vycm1uT2lRUEJRL3pNK1dMd2NGb05XdHZSVVNqVVVlaWNTVlhZVUptT1h2UjJsOUhuWUtO | |
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925 | dApwUmNrUUZKVU8xNDdkMU94UWZ6K2tyMXhVWFBXeHF6d2tObjJHcTZPeHNBSXl0RitpNndyUk5Y | |
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926 | MFo5ZjVRTkV5SE1ySVM3QjJqbWdWCittTlluMHVjWExtTkV3ZGRjK2RVUDF2MXRxQ0JFcUh0bm5G | |
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927 | VStaMUhTek0rSXo1OFJJcG9HVllUMnU3SDBncHRoaUhhaXd3RGJIcFIKdEFyOWtkK25ubldMZDZG | |
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928 | cTdZdXBIWEU5Yy9ZSkJMUDQ5ZVp6d1ptZ2FLdW9mZzNqcU5aUi9ZenF3MmswdHVsSHI2MGttV0Qv | |
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929 | LzBMYgpKZEZLOUlQUm9ESTg5Q3hGQlFkRVMzRTRycmVzMFQ4WkRPSkxWTzhOMGRhdDlTS0tEOUZH | |
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930 | ZUtFMTlHN3F4WmRIbzBUTGNCZ1JKcmo0Ck50U2RFNjFFUHdUNnFxUzJIMkg5aDY1dnpPQ0tNK2Zl | |
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931 | WHFJVmNNazNqVE5ldGpkMGRDUjdHRU9MVGo2TGZWUVRLeXVHaUpiaE1Qd00KRUx3YzloNFNyVVEv | |
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932 | eEllM1k5aTFsKzI3dFJmOTVDajA4VzYxaFY1SFJTdmdsTG1mYUFuWDRNVkF2a0EvbTJwK1p3Wnlw | |
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933 | RjQvOVQ1cwp3UUNrbE1MZU10Rks5RU5hUWlzMTM1UlQ1VWJHREs0MmN3NkpCdjhxb1JKVXhZTTl3 | |
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934 | YlkzYzNRY0JyNG1DeTF0VE42TTZMWmczcWxNCkZDM0RZWXc0QXVzL0U2MUNQNHhNYkdUVGtsMjBY | |
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935 | WExobmI4dWNLMlpzd1pLaERZSDVOSmdhaEVyNGlvVVJySkxKNkZ6aWdvVit6SmMKdGxIcjZJdXd2 | |
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936 | a0MwQ24yZ0tDcjV2YzVUL1BZT3R6Um1jRFZ6VGhEZm4rOW9pSFkyM1V6NDhURURSTXV3bXZqNlJF | |
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937 | cXE5VlAwM3haeQpWVmo3aW1nVitzRFBXMldvNTNHS2x1NFZMVVVvcnJXc0VTWDJqNmthZzlrYm9K | |
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938 | MVdWT2NZeDJtZGhNNEZxZDY4djJ1UWFCa09ZYkFKCnR2NFJFQjlFcEhtaVExVDhEKzVuOHpZWnh1 | |
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939 | TFVtZk95WmNzWVBYbzBnd1lONHEyMzNnSmc1c3laeE1iR2twR1JRVVpHQnF0WHIrN2UKNExIOXdW | |
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940 | dHM4a2xkOEhEYU5CREdCK0JGREIraG4xQzBsaE9wWEdqUmJyZVk3aEp2Z3VOdlFJdTJRdDQxeWNE | |
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941 | WU5pNXQyc2srRnpIbQp0clkyTWpJeW1EaHhZcmZPZDlyTXVhYW1obG16WnJGcDB5WThQRHdZTjI0 | |
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942 | Yzk5OS9QNHFpOE54enovSGNjOC8xN0FMOW9nQ3hNK2VEClpuOUFHenZLRll6bWtrNVdyZUl2UlRE | |
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943 | L2dEYXI5L1VFc3hINEs1dy9KVnFKOXNsTmJHYnJzaDIwTkxyTyt2THJyNy9Pd0lFRHFhdnIKWGhj | |
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944 | a3A3MTdOMnpZUUdabUptYXpHWDkvZjhhT0hjdkdqUnNCVUZVN3pEYmp4T2JYdDN2MjVvaXZOcFkw | |
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945 | dkJqTUdnSkV5N0FLRDlYQQoydDJ1VjlqSVM0R1lyK0NJNjFTd2RCaWpFMnJaOVBaMmx6TG1ZOGVP | |
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946 | OGZubm4vUDQ0NDkzMjkrY1pzNzUrZm1VbHBaeTZOQWhUcDQ4CnllZWZmODZHRFJzQWVPT05OOGpO | |
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947 | eldYMjdObmQrNVF4ZVVLWTJKVHRzK1lNVU1RYmpJS0JMeG1HWHN3dS9NSUE5dFQ0aTVaaGR6SjIK | |
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948 | UVVXUmFCWGF4c3REWlhqUTk2eDFvUnJNVi9qRkwzN0JTeSs5aE1IUWZZdDEycktHbjU4ZnI3MzJH | |
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949 | ai83MmMrb3Fha2hOVFVWYjI5dgpmdktUbi9ELy90Ly9vN2EybGwvOTZsZk1ueitmWC83eWx6ZWNQ | |
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950 | M1BudjM0ZUV3RmpJcTk2c2xkZjhCRDdCejRTcUkyTk54T1pWQ0krClM5SWFBbFV2M3F2VVZzS09Q | |
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951 | Y2l2aHFLUFJLdlFOZ25oN1hnZE9NREdMKzJ4dnJ6MW4vL3NUR0VYang4cWhLcXVub1RQUHZ1TWlJ | |
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952 | Z0kKTWpJeUtDenMramhMS0twZDFoUnM1NEVISHVBLy8vTS95Y3pNN0hpc3ZMeWNKNTk4a3VMaTRt | |
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953 | dU9WUlFGZGVwTkJzc2VDV09MYjNLQQpZMUVWSDFhbTV0R3VnY25xSGg2a1VDZExHcEZuQjdHNFFq | |
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954 | K2hmdFl3cWhuVy8wbTBDbTB6UExHSkhSOVZVRi9iNnFBcjVQWjRxVlJSCkZCaHI1UmpmS3RkYzd6 | |
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955 | ZS8rUTN2dnZzdUpwT0pwcVltYW10cm1USmxDa3VXTExGSmcxTjNqS3FycXdGWXMyWU5PM2Z1SkRN | |
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956 | ems1TW4KVHdMUTJ0cktzbVhMdU91dXUyd2ZPRXhzUkdDcmI0b21qTm1UY0FyUnh4S0JuK3JCSi90 | |
|
957 | Y0t4TndtQUxGc3Z4bmwvaDRxb3dNUGMzRwp0OHNkYU16aWVlR0ZGemg2OUNpSERoM2kvZmZmWjl5 | |
|
958 | NGNUWWJNemc1enZtKysrNmp1cnFhZ0lBQUZpMWFCTUN2Zi8xcnRtL2ZqcWVuCkovbjUrY3lZTWNQ | |
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959 | MmdVUEVkajI1Nk5zTEVOL0V0VVpIYTgxQk5VblV1RkRvM0FBVDdINFJWUEY1VUpxa2IxUTc2cTU5 | |
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960 | Rk8vVXhxYTUKTTFHNnVSY2xiRm5ERml3dWEvd3NEdnpGRlR6YWwvQkRLb1BQQzd2K1pReDh4cU1j | |
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961 | US91RzU2MmFXRmMyM21VYXRrYWJvSFUrbkJaZgpjMHVUak9yYlNObXlDcG9iblBYSkpYWlp3MTdv | |
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962 | UDBQUXd4dDh4YjRyanZ1SkwzVGt5V0JkR0ROQVdGMml5eGh6b0FGOFA0WUQwcGh2CndOOWJaYkRu | |
|
963 | OTZ4LzY0aG9LYnBFSDFrS055TXFRZWovb3Qwamxsb1A4ZWxmM3pGUXRBU3I4RlFOZkxZM1NiUU11 | |
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964 | MkJTSUhFZEhOZ3UKV29uMlNPN1ZodmxBSlp1V1MyUHVMdnFmT1VlRkNyMThrNi80VURBUGduV1Rk | |
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965 | QkpWMzRlVERmcW9rbWVKbkgxUS9KVm9GZG9qdjA4OQpHNWJ1cHJYRmRaSktSS0IvY3c0VCsxVyt4 | |
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966 | aThFNkY1NnByMW9ZSmd1eW15YVZJVXY5b3IvTUxNSG95L0EycVdpVldpTFlIK1ZmcTBuCktDbzRK | |
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967 | bHFLUzZEOWQ3UWxRc1F1S1p6eUZYOEwxeEluV29KVjlHcE1vT3FpcjJnWlBXWkVHNng5VGJRS2JU | |
|
968 | RTRyZzN2blJXVXJaTEcKYkMvMFAzTU9FbGRWUmxVOE9lRWpkdGJzUlFyNzBmN21ta0dGYi9mMUZ5 | |
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969 | Mmp4NlFab2VTUG9sVm9pOUc5NjFqM2JpWHRyWm9QL05JVgo0cWQ5UGNIa0NYN2lOaHphZkpKcE5Z | |
|
970 | aGRWenVJUG1vZ3h6ZkY4WjNPYTJna211RFFxOUIyU2JRU2JSQVdxSkpoT01MYVJidWxNVHNBCmZa | |
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971 | dHpWTUxsS1prZ0x2cUtYVTR3NGMrWDZLTnpTUEVCZmFkcGh4bWhhVEhVdWthcDRSNlRudEFLbTNl | |
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972 | eTdldVRvcVc0TFBvMjU4Z3cKb1pjLzZ5ZDJKbmlKWVRUcjRFL1l1em1HSGVmMDAvMzdlbndORUxZ | |
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973 | U1R1d1hyVVE4Qm9QSzZMZ2F0cit6aFRQSHhZZVF1akw2WG5NTwpGN3ZXZXNKWGJNcDJNUWxDcjI4 | |
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974 | dG13L3FkOWFzQUFNM3crWk5vcFdJSjhxc0VuNzZNR3VYeU80QnprRDcwNjZiRVNJdU0wODFSWExl | |
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975 | Cm8xN1k5YjNwcTR1dTJna3RrWlNkMXNmU1MyZU1PZ2FiVjRoV0laNWhmVnBvV2xmT3puWFNtSjJG | |
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976 | dm1mT1FkWENMdDNzMjE5b2NmMWoKREJGMmJWdllkVGhadElSdWsxOFBSVytKVmlFV0Q1UEs4SWp6 | |
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977 | RkJYc0V5M0Y3ZER2ek5sb0FyL0R3aTUvd1M5QzJMV05lTE1hc1ptUgoxaERYR3NiNms5clgyUms1 | |
|
978 | UU5Fcm9sV0lKUzZzbmFTYWd4VDlWUnF6Q1BScnpwRUpZQlFYeGxidEs2N3ppY3BRTHFLTnppczM0 | |
|
979 | K0FSCmZjNmFCNWxnKzR1QUcyY2Y1eVkyYy82cmNpcEx6NGlXNHJibzJKekRoVjFheFNnMCthUU03 | |
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980 | UmVwNzlWcVpzMHhjWCtqN2hKbmdwUC8KQjgxaVM0UUx3OHREWlZURUdUYTl2WjJMRjFwRXkzRnI5 | |
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985 | NzRpU211NEVrSWxScnZkaExSN3MrU2c3MUV5N0NKL05OUTlLRm9GYzZuZjB3Ygp6VnYzc2JHeVJy | |
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987 | aGZQSVNHNmo2CisxWU9TMk8yTzBlUEhtWHMyTEVNR2pTSU1XUEdzR3pac202Tm84K1pjMVFFY0Vq | |
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988 | SXBadDlVNFFsbnh3alZzaDFyU1ZFOWVXRC9mcW8KTFEwd1ZJRU5MNHBXNFZ3Q2ZWVlNsSk9zZTFz | |
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991 | ZWpvQVlXRmhEQm8wCmlNMmJOOXM4amo1bnpxSGlDdXFlOXZVRW5GOVR3NHRZam12NHp4V2tldlAz | |
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992 | dmZvb3hCUmxnZ3NMb0tGV3RCTG5rZC9uSXNYdlZ0SjIKeVkwemEyekVhRVVXa3NyTmM1WDI3OTlQ | |
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993 | UlVVRjJkblpObDlmdSsvMm14RWtKbXRKUmVHNDcwVWgxMjVDMngyclBjLzJvNmxkKzFtTApBUWJ3 | |
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995 | NzZLbjUrZnpkZlhuemtyCkJ2QVhFNm5SN3QyUEpxT1lXZnRCdEJzMzdLOTY4cmU5ZlVUTHNJZ1JT | |
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997 | Y0xERHovTXZmZmUyNjNMNjgrY3crUEFKTWFjRzN6N2NQbUxqTE14VUlKMld6ejVuMCtpdmxYNwpM | |
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998 | NlhjQTFDOFdyUUt4Nk1vS3ZueGRSUXRxVVNWcXhoT1IxVlZwaytmenVEQmczbjIyV2U3UFk0K2Rt | |
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999 | K3VKa3JjaHR4NVh6RWJjdDRrClVxdlJRa2UrcWdlZjdPMXIrVURCakw0QXhlK0tWdUY0SW9KVmhy | |
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1000 | UWZadTFpYWN5aUtDNHVadW5TcFh6enpUZGtaR1NRa1pIQjZ0VzIKendxMFA5MjVubkJ4QmVaUCtv | |
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1002 | NwplOCs5UW4vbUhDb28rY1FReUNtdkdrUWtnZXhCWE8zb20rR2xHbG14VjlzYmxXbEdLUHVUYUJX | |
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1004 | K0pqajBPclNLYmZYb2NFYjNycU5vaVRSbVYwTmY1cXdvNEY4bDVOSjEKZnRGQ3J1dEJmMW8wK0dj | |
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1007 | NWh3bEx0YjNtSytZVHR1N05OZ3IwS0FxCmZMVzN2MmdabmFJQWc3ZEE1VWJSU2h4THYraDI5bis2 | |
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1008 | VTJiOHVURDZNdWR3WHlHWGJmZnNRNFBKK1MxN1BBaWtITzJ0NmNZM3huT2cKenZhTUoyY3c2amlV | |
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1009 | TFJldHdyRkVtVlZxMTFmSU5sSXVqcjdNV1ZCTmpVWS9VUkVKMml0YXI2aXc5b0EyWjgzNURiQnVv | |
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1010 | V2dWamlYUQpWOFZ2L3o1T3lhdy9sMGRmNWh3c3B2dkllZDlnSWRjOWdmYktieVkweDdMN3ZHMmxE | |
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1012 | cVlEQTBSTHVJR0JKaWgva1p1WEIzTUJodm1kb3J6d2xHZ1pFaWVoSDNNTzdRVWUKenY4cXB4cDhP | |
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1014 | Yy81aXdvVXFQVgpaeUNxZ0dYZkZyUzNybHRlbFN4YXdqVUVHY0g0SHB4MThXcVllWWtOckgzM085 | |
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1015 | RXlKRTVHUCtZY0xpWTZvTTR2UnNoMUR5TW02YVVyCjRpOUZzUEZVaUdnWjE5Q3ZCS29xUkt0d0xO | |
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1016 | bDlXbGhYSUdPWjNSSDltSE5vbTVETG52RVZrV2loVUVxZ2dPdDJ6WGVIdGJYV25HYUUKelorSlZ1 | |
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1017 | RllCc1cxVWY3K0RqRlZhaVhDMFk4NW04WHNVQi8zZGY1aXBqZTlPYU9oRXFHeHJhRVVuZ2dUTGVN | |
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1018 | YUxuMGhXb0ZqU1Fodgo1OFRxWFRRM2lKbVVTTVNqSDNNT2NINWZvWGJQT09vOG5KOHVmbEZqSlVL | |
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1019 | UEhOVld2SFVXc0h1OWFCV09JelJBcFgzN0hzNVh5OUtmCjdveCt6Tm5UK2IzN21uekZGUGJaajdp | |
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1020 | R0F0Y1QweGJNRjBlMW8wY0J6bjBxV29YajhQRlVpVGgxa0tONzYwUkxrUWhHUCtZc2dBdSsKenQ4 | |
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1021 | QVV6QlJncGcwOWM2b1BxNnRXZlB3Tmppd1hiUUt4MkF3cUF4U2psTlo0dUtsOUNSV0ljMzVKcHp5 | |
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1022 | ZGI0cGVkS2ZSbzJzTjBlMgpCL0NQS2pIUktwMWhVdUR3KzZKVk9JNFJZV2ZadlBxNGFCa1NqU0RO | |
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1023 | dVF0VXhZdmpQczVQUGpsUGI2ZGZzeXZxVG1wczF0d0l4L2VKClZ1RVlSdmV1WS8wSEIwVExrR2dJ | |
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1024 | cDVyenNtWExHRDE2TklNR0RlS3R0OTRDb0s2dWpudnZ2WmY0K0hnbVRackV4WXZPWDF2dWpGYWYK | |
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1025 | Rk5vTjNZOWgybGw0cmx2blZTQXVLdUpzNGE2T244UGEvZmowUUt3d0xkZmpZNERLNnh1MG5pOFVJ | |
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1026 | YVZuZEtKWit3WHp0NG9Xb0R1Swppb3BJU1VtaFg3OSt2UEhHRzkwYXcybm1YRk5UdzZ4WnMvajAw | |
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1027 | MDhwS1NsaHdZSUYxTlRVTUhmdVhPTGo0OW0zYngreHNiSE1temZQCldaSnVTcjF2ejR4cFY2SHRv | |
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1028 | WDhtL05nbXNFVG91Y0ovWlhSY3F1NVBtNGErV0dWZGdEUFhmK08vVUNoQ1NzKzRUck0rQ3VaTGM3 | |
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1029 | YVYKWjU1NWh2bno1N05telJyZWZQTk56cHl4ZlIvQmFlKytEUnMya0ptWmlkbHN4dC9mbjdGang3 | |
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1030 | Sng0MFpLUzB1WlBuMDZYbDVlVEpzMgpqYlYwbm1NQUFBa0xTVVJCVkpLU0VtZEp1aWxuL1p5ZmtX | |
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1031 | aGdBTzBhTUVTejZzUGY5bXVuQTB1UUViWXZGcTNDL3NpQythNUpUVTBOCkFQbjUrU1FrSkhENzdi | |
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1032 | ZDN5OWVjMW4wN1B6K2ZwNTU2aWtPSER1SHQ3YzNubjMrT2w1Y1haV1ZsSkNkZnJ0bVFuSnhNYVds | |
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1033 | cDV3UDQKWkRwTEtnQjF2dEVFOWFBTGlUZm5DY0syT3REbkdFeVN3RXAwWi9FbWlXQjhMaVNTNml2 | |
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1034 | K1ErSUt5V2RoVHloYy8rYzRXUXZSMm0xagoyQ2xYTkh0N3FQaFdIU0lnMFlRVDM0YmQ0dVJKRDZL | |
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1035 | anRSTkJaSW10ZHByb0J3VlozcGkvZEVtbDRibzh0YXM5RFdEZ3dJRnMyclNKCkNSTW0ySFI5cDcw | |
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1036 | cS9QejhlTzIxMS9qWnozNUdUVTBOcWFtcGVIbDVvYXJXcmVzcUE1ejkxYXJuMTFzOHE4ekdNLzdT | |
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1037 | NDJ2MmxOSloKUzBSTHVJR2IvU1ZPYnBubE5CMzJRcGVhVDg0VkxjSHAxTlJrV1hXY3Y3Ky9RNjd2 | |
|
1038 | MUkvc2lSTW5NbkhpUkFBZWVPQUJ4bzhmejlhdApXNm1zckNRakk0UEt5a3F5c202OElkWWF1RVFp | |
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1039 | a2RpRG5uaE9WbFlXdi9yVnJ6cCtyNmlvWVB6NDhUYVA0OVR2cnRYVjFRQ3NXYk9HClhidDJrWm1a | |
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1040 | U1U1T0RnVUZCVFEyTmxKUVVFQnVicTR6SlVra0VvbGRDUXE2WFBPOHFLaUlxcW9xdnZycUszSnlj | |
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1041 | bXdlUjFHZE9DM04KejgrbnVycWFnSUFBM256elRiS3pzNm1ycStPaGh4NWkyN1p0WkdabXNuVHBV | |
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1042 | b2Q5VFpCSUpCSm5zSGJ0V3A1NDRna3VYYnJFejMvKwpjMzcrODUvYlBvZ3FrTFZyMTZySnljbHFV | |
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1043 | bEtTT21mT25CdWVyNnlzVkhOemMxVXZMeS8xNVpkZnR1bGNSOUVUelFrSkNXcHFhcXFhCm5wNnVa | |
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1044 | bVZsT1V1eVJjMUxseTVWaHd3Wm9nNFpNa1NkT25XcSt0MTMzMWw5cnRiMGF2VWVmL3JwcCtxUUlV | |
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1045 | UFV0TFEwOWE2NzdsSkwKUzB1dFBsZUxta1hjWjJ2dlUybHBxV28wR3RXUFAvN1k1bk8xaEZCelRr | |
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1046 | OVBWOWV1WGF0V1ZWV3BBd1lNVUUrZlBuM044OVhWMVdwWgpXWm42MjkvKzlnYWpzM1N1RmpYMzd0 | |
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1047 | MWJQWHYyckZOMFhvMGx6UnMyYkZBdlhMaWdxcXFxTGw2OFdIM29vWWVzUGxkcmVyVjZqeTllCnZO | |
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1048 | anhjMkZob1pxWGwyZjF1VnJVTE9JK1czT2ZXbHRiMWJGang2b1RKa3k0eHB4RjNlT2VJQ3hleXBw | |
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1049 | WXdQRHdjSVlORzRhSGg0Zk4KNTJwTjh4VlVKMjl1V3FONStQRGhIZXRrRXlaTVlPM2F0VmFmcXlX | |
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1050 | OVY5RGlQZmE3S202K3BxWUdiMjl2cTgvVm11WXJPUE0rVzN1ZgozbmpqRGU2Nzd6N0N3OE50UGxk | |
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1051 | ckNEUG5ybUlCSFgxdVQranBkUlZGWWR5NGNVeWFOSWtWSzFZNFF1SU4yS3A1d1lJRkhSRTFJdTV6 | |
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1052 | ClQvU0N0dS94SjU5OFF1L2V2WmsyYlJvTEZ5NjA2Vnd0YUY2d1lFSEg0ODYrejlib1BYNzhPTXVY | |
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1053 | TDJmR2pCa2RHcTA5VjR0b08vcmQKeFNndUxpWTZPcHJLeWtvbVRweElkblkyVVlJYTEzYkdtalZy | |
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1054 | V0xwMEtSczJiQkF0eFNvNjA2dmxleng1OG1RbVQ1N01CeDk4d0tSSgprOWkyYlp0b1NSYTVXdlBr | |
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1055 | eVpNN05HdnhQai83N0xQOCtjOS9SbEVVMU10THRrTDE5QlJoTStlc3JDejI3Tm5UOFh0RlJZWFZZ | |
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1056 | WFE5Ck9iY245UFM2MGRHWG03YW1wS1J3enozMzhJOS8vTVB1R3EvSFdzMDdkdXpnaVNlZVlNV0tG | |
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1057 | UVFIQjl0MHJsYjBncmJ2OFJWKytNTWYKY3VMRUNSb2JHeGsyYkpndVhzdFhhd2JuMzJkcjlHN1pz | |
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1058 | b1VISG5pQVBuMzY4TGUvL1kwbm4zeVNGU3RXQ1BPTEhpTnl3ZnZLSXYyaApRNGR1dWtqLys5Ly92 | |
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1059 | c3NOUVV2bjJwdnVhcTZ2cjFkcmEydFZWYjI4YVRodzRFRDF5SkVqbXRCOCtQQmhOU2twU2QyMGFa | |
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1060 | UE41MnBKCnI1YnY4Zjc5KzlYMjluWlZWVlYxNWNxVjZwMTMzbW4xdVZyVExPbysyM0tmSG4zMFVm | |
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1061 | VnZmL3RidDg3VkNrTE51YkN3VUUxT1RsYjcKOXUycnZ2NzY2NnFxcXVxOGVmUFVlZlBtcWFxcXFp | |
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1062 | ZFBubFJqWTJQVndNQkFOVGc0V0kyTGkxUHI2dXE2UEZmTG1nOGNPS0NtcGFXcAphV2xwNnJoeDQ5 | |
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1063 | UzMzMzViTTVxblQ1K3Vob1NFcU9ucDZUZUVSb200ejkzVnErVjdQSHYyYkhYUW9FRnFlbnE2K3Ro | |
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1064 | amo2azdkKzY4CjZibGExaXpxUGx2U2V6WFhtN09vZTl3VG5KcUVJcEZJSkJMcjBFN3BNWWxFSXBG | |
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1065 | MElNMVpJcEZJTklnMFo0bEVJdEVnMHB3bEVvbEUKZzBoemxqaWNjZVBHOGVXWFgxN3oyR3V2dmNh | |
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1066 | VFR6N1o2Zkc5ZS9mbTNMbWJOOGg5NFlVWHJ2bDk1TWlSQUZSVlZaR2FtZ3JBNXMyYgplZWFaWjRE | |
|
1067 | TFZjSTJidHpZTGYwU2lRaWtPVXNjenRTcFUzbi8vZmV2ZWV5RER6N2d3UWNmN1BUNEsybTNOK05Q | |
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1068 | Zi9yVE5iOFhGeGZmCmNNeXdZY040L2ZYWEFmajIyMjkxay9rb2tZQTBaNGtUbURKbENpdFhycVMx | |
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1069 | dFJXNFBMczljZUlFTFMwdDNIWFhYWXdjT1pLMzNucXIKMDNNblQ1N00wS0ZER1RkdUhKOTg4Z2tB | |
|
1070 | Ly9WZi8wVmpZeU1aR1JrOC9QRERRT2V0Z2dvTEM1azRjU0tIRHg5bS92ejV2UHJxcTJSbQpackor | |
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1071 | L1hvU0V4TTc5TlRXMXBLWW1FaGJXNXNqL3ZzU1NiZVF0VFVrRGlja0pJVHM3R3crLy94ejdybm5I | |
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1072 | dDUvLzMzdXUrOCsvdjNmCi81M1ZxMWNUR2hySytQSGpHVGx5SkNrcEtkZWNXMUJRZ05sc3ByYTJs | |
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1073 | akZqeGpCNThtVCsvT2MvOCthYmIxNVRtK0ptcysyRWhBU2UKZU9JSkFnSUNlTzY1NXdBWU0yWU1L | |
|
1074 | MWV1NU41NzcrWDk5OTlueXBRcEdJMldHM3BLSk01Q3pwd2xUdUhxcFkwUFB2aUFLVk9ta0pLUwpR | |
|
1075 | bEpTRW1hem1mdnV1Ni9UNm1idnYvOCt0OXh5Q3lOSGp1VGd3WVBzM0xtelc5ZFhyeXVFOC9qamo3 | |
|
1076 | Tm8wU0lBRmk5ZXpHT1BQZGF0CmNTVVNSeUhOV2VJVTdybm5IcjcrK211MmJkdEdRMFBERFROZFZW | |
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1077 | VnZlT3pnd1lQTW5UdVhqejc2aUowN2Q5S25UeC9PbnovZnJldGYKUC9hSUVTT29xcXFpc0xDUXRy | |
|
1078 | WTJCZzRjMksxeEpSSkhJYzFaNGhUOC9mMFpPM1lzanozMkdBOCsrQ0M1dWJuczJiT0hBd2NPY1A3 | |
|
1079 | OAplVDc1NUJQdXVlZWVhODQ1Y2VJRTRlSGhoSVNFVUZ4Y1RIbDVlY2R6NGVIaE5EUTBXSDM5aElR | |
|
1080 | RVRwOCtmYzFqanp6eUNELzYwWStZCk5tMWF6LzV6RW9rRGtPWXNjUnBUcDA1bDU4NmRUSjA2RlVW | |
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1081 | Um1EOS9QazgvL1RRVEpreGcrdlRwSFFYUnI4eHlSNDBhUlVKQ0Fpa3AKS2J6MjJtdmNldXV0SFdN | |
|
1082 | OS9mVFQ1T1hsZFd3SVhqMHo3dXpuMjIrL25jMmJONU9Sa2RFUjJmSGdndzl5L3Z4NXBrNmQ2dGov | |
|
1083 | dUVUUwpEV1RoSTRuYnNtelpNcjc5OXR1T3JpUVNpWmFRMFJvU3QrVHBwNSttdUxpWXp6NzdUTFFV | |
|
1084 | aWFSVDVNeFpJcEZJTkloY2M1WklKQklOCklzMVpJcEZJTklnMFo0bEVJdEVnMHB3bEVvbEVnMGh6 | |
|
1085 | bGtna0VnM3kvemRhT0krQ1VUQUtSc0VnQkFEUHVEZDBmV0ZIWGdBQUFBQkoKUlU1RXJrSmdnZz09 | |
|
1086 | Cg== | |
|
1087 | </png> | |
|
1088 | </output> | |
|
1089 | </outputs> | |
|
1090 | </codecell> | |
|
1091 | <markdowncell> | |
|
1092 | <source>Plot the value of the European put in (volatility, strike) space.</source> | |
|
1093 | </markdowncell> | |
|
1094 | <codecell> | |
|
1095 | <input>plt.contourf(sigma_mesh, strike_mesh, prices['eput']) | |
|
1096 | plt.axis('tight') | |
|
1097 | plt.colorbar() | |
|
1098 | plt.title("European Put") | |
|
1099 | plt.xlabel("Volatility") | |
|
1100 | plt.ylabel("Strike Price")</input> | |
|
1101 | <language>python</language> | |
|
1102 | <prompt_number>14</prompt_number> | |
|
1103 | <collapsed>0</collapsed> | |
|
1104 | <outputs> | |
|
1105 | <output> | |
|
1106 | <output_type>pyout</output_type> | |
|
1107 | <text>&lt;matplotlib.text.Text at 0x32ee190&gt;</text> | |
|
1108 | <prompt_number>14</prompt_number> | |
|
1109 | </output> | |
|
1110 | <output> | |
|
1111 | <output_type>display_data</output_type> | |
|
1112 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVhFQUFBRVpDQVlBQUFCaElCV1RBQUFBQkhOQ1NWUUlD | |
|
1113 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUlBQkpSRUZVZUp6czNYbDgx | |
|
1114 | Tlc5Ly9IWGQ3SnZaQ0dRaFd3UVFnaVFrQUJKMkxLd2lDQWlJSWdFCmhWWXNJbmlMRnRIYi91eTEy | |
|
1115 | R3U5MTdiWGlwU3lxRkJiaTNWSEJBRkJEV0hMbnJCbVljdENOaElnK3pxWitmMFJpQ0RaTTVudlRM | |
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1116 | N24KK1hqazhTQXozL2wrUHduSk8yZk9PZDl6SksxV3EwVVFCRUV3U2lxNUN4QUVRUkI2VG9TNElB | |
|
1117 | aUNFUk1oTGdpQ1lNUkVpQXVDSUJneApFZUtDSUFoR1RJUzRJQWlDRVJNaExuVEl4OGNIYTJ0cjdP | |
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1118 | enNXai9XclZzbmQxbDlLam82R2lzcksrenM3QWdNREdURGhnM2N2SG16CjA5ZkZ4c2JpNmVtcGh3 | |
|
1119 | b0Y0VWNpeElVT1NaTEV2bjM3cUtxcWF2MTQ1NTEzdW4wZXJWYUxzZHlTSUVrU1c3WnNvYXFxaWkr | |
|
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1139 | ClpmWHExVVJGUlpHYW1rcDVlVGxoWVdGOTBqSjJkM2UvcDY4N05UVzE5WStaaVltSmFJMExlaWRD | |
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1140 | WE9oVWU4RTBmZnAwNHVQalNVMU4KSlNzcml5MWJ0blQ0MnVEZ1lNek56Zm1mLy9rZnlzcksrT01m | |
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1141 | LzRpcHFlazlyZS92dnZ1Ty9mdjNjK1hLRmY3ODV6OHpiOTQ4QUdiTwpuTW5aczJmNXh6Lyt3YTFi | |
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1143 | NWZ6Ci92dnZrNW1aMmZyYzJMRmpLU3NybzZpb3FGZlhGb1R1RUNFdWRHcmV2SG4zekJPLzAwVXhi | |
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1144 | Tmd3Tm03Y3lKSWxTNGlKaWVFWHYvakYKZlYwc1AvMzg0TUdERkJRVUVCSVNRbjUrUGdjUEhyem4y | |
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1146 | Vm9zTEN6WXRHa1R2Ly85N3hrK2ZEakp5Y2tzWGJxMHd6bzYwOTd4di83MXJ5a3ZMMmZreUpHa3Bx | |
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1149 | OTkrdW1uakI0OUdoTVRrL3VtbUwzenpqdjQrZmt4YXRRb2poOC9ydXR5QkVFUQo5Q28vUDU5cDA2 | |
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1150 | WXhldlJvb3FPajJiMTdOd0JWVlZYTW56OGZMeTh2Rml4WVFIVjFkWnV2ajR1TEl5QWdBRDgvUHpa | |
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1151 | djN0ejVCYlU2CkZoY1hwMDFOVGRXT0dUT205YkdNakF4dFZsYVdOam82V3B1U2t0TDZlRWxKaWRi | |
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1152 | ZjMxK2JtNXVyalkyTjFZYUVoT2k2SEVFUUJMMHEKS2lyU3BxV2xhYlZhcmJhMHRGUTdkT2hRYldW | |
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1154 | L2JXbHBhWWZYMDNsTFBDSWk0cDY3NmdCR2poekppQkVqN2pzMklTR0IyYk5uNCtYbFJWUlVGRnF0 | |
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1155 | bHFxcUtsMlhKQWlDCm9EZXVycTZ0OXo0NE96c3pldlJva3BLU1NFeE01T21ubjhiQ3dvS1ZLMWUy | |
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1156 | ZVM5RFJVVUZBSkdSa1hoN2V6TnIxcXhPNzNtUWRXQXoKTVRHUmdJQ0Excy85L2YxSlRFeVVzU0pC | |
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1157 | RUFUZHVYVHBFdWZQbnljc0xJeWtwQ1JHamh3SnREUnMyOHE2dTQ4QkdEVnFGUEh4OFIxZQpROWEx | |
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1158 | VTdSdGpLbTJOVHRCekZnUUJLRTcyc3FXN2hnZ1NYUzFUOERXMXJiTkhvU3FxaW9lZi94eC92S1h2 | |
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1159 | MkJyYTl0bjAyZGxEZkh3CjhIQ09IRG5TK25sbVppYWhvYUZ0SGp0SCs3bSt5dEtKaXhzL1p0Ykdo | |
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1160 | VHhDUEExa3lGMU9sM3kwOFRJeEczMzc3UHltR2hWVGlsVFkKbDMyamsvTnQzQVlibjlYSnFmU21T | |
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1161 | elhYdXNCUmJ6aGpHTzlLTjU2RmpZR2RIOWVaV290aG5EOVlRMk54U2VjSDk4SlVIWnlqQ3VqcQpO | |
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1162 | SXVwYlF4UU5qVTFzV2pSSXBZdlg4NzgrZk1CQ0EwTkpTTWpnNUNRRURJeU10ck11dERRVUY1NjZh | |
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1163 | WFd6OCtmUDgvczJiTTd2TDdlCnUxUHUvbXNVRmhiR29VT0h5TXZMSXpZMkZwVktoWjJkbmI1TDZq | |
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1164 | TlhNV2NURWR4a0FTWll5bDJPN05RcURVZUhxTW55V1lMV3hFbnUKY2d5WGRRbk1Ub1JsNFdBL1NP | |
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1165 | NXFkTWE2NFFxQkQ1cGdPZFJiN2xMNmxGYXI1ZW1ubjJiTW1ERzg4TUlMclkrSGg0ZXpjK2RPNnVy | |
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1166 | cQoyTGx6SnhNblRyenZ0ZmIyOWtETERKV2NuQndPSHo1OHowcWdiZEY1aU1mRXhEQjU4bVN5c3JM | |
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1167 | dzlQUms1ODZkN05tekIwOVBUK0xqCjQ1azdkeTV6NXN3QldoYnlYN05tRGRPblQyZnQyclZzMnJS | |
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1168 | SjErVVlBSWxQY0dFL3k3QmdsTnpGR0lRcyszS08raytsMFdhQzNLVVkKTGdud1RJQ25HbUNTTHRx | |
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1169 | V2hzR3lzWkRBcWRYWUJOdy8wYUcvT0hIaUJCOSsrQ0hmZi84OUlTRWhoSVNFY1BEZ1FkYXNXVU5l | |
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1170 | WGg3KwovdjRVRkJUdzdMTXRiOGtLQ3d1Wk8zZHU2K3ZmZnZ0dFZxOWV6Y3laTTFtN2RtM3JFc3J0 | |
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1171 | TVlxYmZTUkpNcnJ1bEJ1eDV4Z1lQZVluCmoycDVqT3NNNWhETjFNbFNWMGZPeHQ0a01GcVBMV1F0 | |
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1172 | VEx4dXc2RGl2VWcwZC92bHNja1FiV1IvQjNwY2M4bFkrT1lXWE0vVGVVMmQKaVMyQmFCZmRubE90 | |
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1173 | c2lNanc0ZksxTE82UFRFdDNTbTlqVFZKa3JyZW5hS0Q2L1dHQ0hFWitOREVmT0pwNEVMbkJ5dUFk | |
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1174 | NDA5Z2JrbgpVVFVWeUYyS1lWT2JRL29rK09FNGFMci9SOC9RTkVzV1pPVUZjdXQ0c2s3UHE3UVFG | |
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1175 | MnVueUNBSE16WXhsUnNzd0FRcnVjdVJYYTVOCkJVZEdCRk5uSHlWM0tZYk50QkVtSElWZitJTDN5 | |
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1176 | TTZQTjNBbTJnWkdlcWJpL01Ba3VVc3hhaUxFWlNQeEtTN3NKd1lMUnN0ZGpPenEKVFpzNDdHMU92 | |
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1177 | c2RqYUNVeENOd2h4MnhZa2dVUFI0SzVjVGNDVkdnWU1mQVVidk1pNUM3RmFJa1FsMWxMcTN3S1pT | |
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1178 | d1VyWEpKSW0xZwpCWWtqNXRKczJYOEh2blJDcFlYUmNiQnFJSXdNa2J1YVhwRWtHR3B6RE04bDRw | |
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1179 | MVlUNGdRTndnU256R1lmY1Jnd1U4SFE1V254TEtLClEzN0RxQnc0Uis1U0RKL3ROWGdrRGVaRnls | |
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1180 | MUpyMGdTZUprY1plZ1Rva1hlWFNMRURVZ3VabXhpc21pVjB6S25QTmFqbVlzK1M5Q2EKT01oZGpt | |
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1181 | R1RnRkZ4OE5oa2tJejdWOXBkYzR3Ukt5YUJpWW5jcFJnTjQvNGY3NWRhV3VWN1Jhc2NnQXo3Y282 | |
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1182 | TmlLTEpacHpjcFJpKwpZU2NoWmdLWW1zdGRTYThNYWpwRndQSVFWSlppYktRclJJZ2JxUHpicmZK | |
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1183 | U0hsVjhxN3pjdkk2RHZzNlV1U3hFSzM1a08rYVpDRStPCkFnc2J1U3ZwRmFlR1pFYkYrR0V5WUlE | |
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1184 | Y3BSZzg4UnRoMENRK1o5RHRWcmtPRnE4d1lsb0pUcnJXY05aM0VSb3pkN25MTVd3dTZiRGMKRzZ6 | |
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1185 | dDVhNmtWK3pyenpKbWtTdG1nenErWTFIcFJJZ2JnWlpXK1NTdTh5Z21XTXRkanF4eWJDdjRmc1E0 | |
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1186 | NmdlSUFiQU9EYndBS3dZWgovZG9ydHZYWkJENWtoWVhuRUxsTE1WZ2l4STJHeEJjTVloOUxzY0Jm | |
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1187 | N21Ka1ZXdmF5TGMrbGkxenlsWDlaOEUwbmJPL0JFOWF3a0RqCkRrQ3J4bndDbzV1dzh1dTdGVGFO | |
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1188 | bVFoeEk1T0xHWnVKcEk0NVNFcis3N3M5cC95WS8zUWE3TVFkZisyeXpZZGxhbkFiSm5jbHZXS2gK | |
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1189 | dms1Z2VCbTJRV0lSdVo5U2NBb1lMdzBxUHNDTEpKN0VBbGU1eTVGVnVYa2RoNGJha3VNcHBpSzJ5 | |
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1190 | N29FbHR3Qzc0RE9qelZnWnMwVgpqQW04aXYxRTQ3NjVTZGRFaUJ1eFpLeDRuNGN4WWJMY3BjaExr | |
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1191 | ampqVkU2c2Y2VG9LMitQNVMxWWxBZCtZK1d1cEZkTU5IV01HbnFXCmdkTTZYbU5iU1VTSUc3bHFU | |
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1192 | TmhDSUxrc3dSVGpubGJXVzFWbTlYenJZOGxsNzhmUm1neVV1eHpEWTFZRGoyVEFHQ05idi9jblZL | |
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1193 | angKZDBuQTVhSCtzODU2YjRnUTd5Y080TWdlSHNjQzQzN0wzR3VTeEhtSFczdy9jaksxRHRQbHJz | |
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1194 | YndtRGJDN0ZTWVlOempDSklFdmdPTwpNK1JSc2Q2S0NQRis1QnBtYkdZcU5UeUVoTEp2VzY0eGJl | |
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1196 | L2lTVHhQWUlHYjNPWElMc3Urbk1NakoxRHRORXZ1VWd5TENwaHlER1lZZjB2V1E0cGorUElwb0ZK | |
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1197 | bW5DbnoKcTFhQU5LeDRqNGRSTVVYdVVtUlhiOUxFOTU1d1lkZ1NOR2JHUFdkYXB5UmFOcGw0eVBo | |
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1198 | YnNpN3FFNHhjUGdISjNMalhqZWtKbzltZQpiYkZtTHpWU2s5eWxHS1habERPYy9haXBscnNVMlpr | |
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1199 | M216SzVTTXVBR3dma0xzV3daRStGUFNmQThPT2dRK1VXd1RqK1BWM1c3ZGxXCnJsekovdjM3R1R4 | |
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1200 | NE1HZlB0dXdodW5UcFVyS3lzbHBxTEMvSHdjR0J0TFMwKzg3bDQrUERnQUVETURFeHdjek1qTVRF | |
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1201 | eE01ck5aWVEKSDVKVXk3ekFkSEl0aXVRdXh5aDUwTVFpc2E5bks1OXFlOGJrSjZGcXpKRzdGTU9S | |
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1202 | T3hFK1RZWm10ZHlWOUlyMGtieDdiQjQ3ZGd4YgpXMXRXckZqUkd1SjMyN0JoQXc0T0R2ejJ0Nys5 | |
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1203 | NzdtaFE0ZVNrcEtDazFQWE55dzNtdTZVZ2xvcnRpVk14S29nRkZ1dDh0NHk5ZGExCjIvdDZWdk13 | |
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1204 | RXFaeWx5TzdITnNLRHZvSGNHdlFQTEV5NGgzZThiQnNMSmlKSldCN0l5SWlBa2RIeHphZjAycTFm | |
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1205 | UExKSjhURXhMVDcKK3U3K0FUS3luMTZKTHk1N2NqeGxKdDROWWlXNzdwUDRrQ0djWkJrV2lPK2ZX | |
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1206 | dFhNTWZjRzBvY3ZvdGxpdU56bEdBYjNGRmp1QjVaaQpUWnErY096WU1WeGNYUEQxYlhzZEdFbVNt | |
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1207 | RDU5T2dzV0xHRHYzcjFkT3FkUk5zbUthaTNabGhET2dtRUZtQTlKcDBwcWxMc2tvM0lhCkt5NHhs | |
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1208 | eFZrb3VXWTNPWElMdCttZ3NJUnZvU1hqR0hnOWErUmFKYTdKSGtOT2dzci9HRjNLVlRmbExzYTJV | |
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1209 | eHBwN0VjV3dLeDErOTYKNEZ6WHovblJSeCt4Yk5teWRwOC9jZUlFYm01dVpHUmtNRy9lUE1MQ3du | |
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1210 | QjE3WGhwRGFQcEUrZG8yMlc2V3RXek1QQTBPWllGZXE2cQpmNWhGT1NQNEJqVlZjcGRpRU56ckJo | |
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1211 | Q2NkeDdUK2d5NVM1RmY1VkQ0ZHgzY0twYTdrbTdSVlorNHR2MGVqMDZ2bDVPVHc3eDU4KzdwCkUx | |
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1212 | ZXIxWGg0ZUpDYW1vcTdlK2Z2aE5ldlgwOUFRQUNyVnEzcThEZ2o2MDY1WDNHZEpWc1R3ekhQRDhO | |
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1213 | T2F5RjNPVWJuV3h6NG5DVmkKSzdqYkNxMHFPVGpDayt1dWo2S1ZGRDcyTXVBcVBLR0N3VjV5VjlJ | |
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1214 | dkhEbHloSUNBZ0hZRHZMYTJscXFxbHNaVWFXa3BodzRkWXZicwoyWjJlMStoRC9JNnZybnB3Tkdr | |
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1215 | bVB2VWVjcGRpZElvd1pST1RxV1NlR1BRRU5CTEV1MVNUTU9KaDFOWkJjcGNqTDV0Q2lLa0JEeis1 | |
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1216 | Ckt6RWFNVEV4VEo0OG1lenNiRHc5UGRtMWF4Y0FIMy84OFgwRG1vV0ZoY3lkT3hlQTR1SmlJaUlp | |
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1217 | Q0E0T1p1blNwYno0NG90NGVucDIKZWoyajcwNXB5enlmQXF3OTA2bVVHdnF3cXY0cGlIcW04UjBO | |
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1218 | WEpPN0ZNT2doZEN5QWJnVzdVUFMxc3Rkalh3YUI4QlhubkRsdk55VgpkTW9RdWxQMHFkKzB4Ty8y | |
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1219 | ZGM0UXZrK2FpVTlkNTMvRmhIdWR3WklkekFhTS95NCtuWkFnYVZBbEovM24wR1JqM0t2LzlZcDVK | |
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1220 | U3k4CkFpUEZXdDZHcGwrR09FQnB2UVZiazBKUjVVN0VYaXZtdlhaSEhTWnNJNEJMeEdDRzJHMGM0 | |
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1221 | SVpGRFFkOEhiazI1REcwS2x1NXk1R0gKYVIwOGZCYUN4VnJlaHFUZmh2Z2QrM1BkT1pJMEU1ODZN | |
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1222 | VGpUWFVjWXdLYzhoZ1dCY3BkaUdDU0pWT2NLanZ2UG9NRnVvdHpWeU1ORQpEUThrUXJoWWs4ZFE5 | |
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1223 | UHNRQnlpck4yZHIwZ1NrM0VtaVZkNU54Wml5aVVsVThBZ3F6T1F1eHlEY01xL2owRkE3Y2oyWG9G | |
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1224 | WFp5MTJPCi9xbTBFSFVDSWtXWG15RlFSSWpmOFUydUc5OG16TVNuMWx2dVVveU14RWU0Y1pRbnNF | |
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1225 | Q01Nd0FnU1p4Mkt1Zm95R2pxQnlod2h4a0oKbUJnSER4ci9VcmJHVGxFaERuQ3owWnl0eWVQUjVr | |
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1226 | ekdRYlRLdStVOEZteG5ObHFpNVM3RllGU2ExZkd0anhXWHZSNUhhOUwxUll2NgpCUWtJUGdxUEdQ | |
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1227 | Zm1Fc1pPY1NGK3g4RThWdzZLVm5tMzFhTmlPLzVrc3d3ekZOaVYwQlpKNHJ6akxYN3duMEt0d3pT | |
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1228 | NXE5Ry9nR093CmVBcElpbzBUV1NuNnUzN3JkcXU4K2Vwa0hMVldjcGRqVkw3SGpuK3pHSE1VZmpQ | |
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1229 | TVhhck5HamppYlVhMnorUEsyeExPOXdURVRBQVQKTVc2aWI0b084VHUrelhmbG00U1plTmY2eUYy | |
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1230 | S1VTbkZsSGVZeUMzbW8wTGh0NmpmSmRQK0ZvZjlKMUR0K0lEY3BlaVhaeUk4T1FZcwpyT1d1UkZG | |
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1231 | RWlOOVczbWpHdHVSeHFLOU1FYTN5YnBINEdGZCtZQmtXaUs2cE8rcE5tL2plU3lKanFNSzJoSE5O | |
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1232 | Z3llSGdyWG9hdE1YCkVlSS9jZmlhQy9zVFp1SmRNMVR1VW94S0JoWnNZeFlhRk5nbjNJR0xBOG81 | |
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1233 | N0QrV3lvRno1QzVGZjV6UHcvSkJNTUJaN2tvVVFZUjQKR3lvYXpkaVdFa0xqbGFrNGFjVmJ3NjVx | |
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1234 | UU1VT1JwREpNc3hvZTJjVEpXb3dVUlByMGN4WjN5Vm96Qlh5YnNYaEVqeHBCUU1WOUM1RQpKaUxF | |
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1235 | Ty9EZHRjRjhIVDhENzVwaGNwZGlWR0t4NDk4c3doeXh6c2JkcnRxVzgrMklVZHh5ZmhndGt0emw5 | |
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1236 | RDI3ZkZpbUJsZnhycll2CmlSRHZSR1dUR2R0U2dxbS9GTUZBaldpVmQxVXBKcnhES0RkWWdBcXh6 | |
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1237 | dnNkalNiTkhCdlN5T25oaTJtMmFIdUxybjdGdWdRZUx3ZnYKa1hKWDBtK0pFTytpSHdvSHNTZCtK | |
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1238 | dDdWb2xYZWRSS2Y0c0wzeEdDSmo5ekZHSlE4bXdvT2pmRGp4dUQ1YURHUnU1eStaWGtMSHIwRwpm | |
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1239 | bUk2YWw4UUlkNE4xV3BUdHFVR1Uzc3Bnb0VhRzduTE1ScVpXUEEzSHFDWkdYS1hZbERVS2cwbjNP | |
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1240 | cEk4VnRJczJVL2I2bWFWOE1qCldUQmF3Y3Y1OWhFUjRqMXd0SEFRWDhiUHdLdktGOG5ndDlRd0RJ | |
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1583 | bjRvUVE0c1pvaUJOQ2lCdWpJVTRJSVc2TQpoamdoaExneEd1S0VFT0xHYUlnVFFvZ2IrejlSck1B | |
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1584 | ZGgrc2ZSUUFBQUFCSlJVNUVya0pnZ2c9PQo= | |
|
1585 | </png> | |
|
1586 | </output> | |
|
1587 | </outputs> | |
|
1588 | </codecell> | |
|
1589 | <markdowncell> | |
|
1590 | <source>Plot the value of the Asian put in (volatility, strike) space.</source> | |
|
1591 | </markdowncell> | |
|
1592 | <codecell> | |
|
1593 | <input>plt.contourf(sigma_mesh, strike_mesh, prices['aput']) | |
|
1594 | plt.axis('tight') | |
|
1595 | plt.colorbar() | |
|
1596 | plt.title("Asian Put") | |
|
1597 | plt.xlabel("Volatility") | |
|
1598 | plt.ylabel("Strike Price") | |
|
1599 | </input> | |
|
1600 | <language>python</language> | |
|
1601 | <prompt_number>15</prompt_number> | |
|
1602 | <collapsed>0</collapsed> | |
|
1603 | <outputs> | |
|
1604 | <output> | |
|
1605 | <output_type>pyout</output_type> | |
|
1606 | <text>&lt;matplotlib.text.Text at 0x3487c50&gt;</text> | |
|
1607 | <prompt_number>15</prompt_number> | |
|
1608 | </output> | |
|
1609 | <output> | |
|
1610 | <output_type>display_data</output_type> | |
|
1611 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVdjQUFBRVhDQVlBQUFCeG1vVk1BQUFBQkhOQ1NWUUlD | |
|
1612 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUlBQkpSRUZVZUp6dDNYbGNW | |
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1614 | bFV0TFpmSzFGSXpzODF5U2MzU2tsVTJSWEZEY01NRlVGQVVCbVpnbURuUDd3OS9raWJMekRBenp6 | |
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1870 | VlVkWUJ6R0pFNldZSys2R0N2bXMKb3pTd1ZyT0d5M1hUK2dEMGJYenVlYit3c0xDR05leC8rdWtu | |
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1871 | Yk55NDBleGxMMXFzQnRYVjFSQkZFUWFEb1dGWUhiK0x0cTZyNTNTNAp0RDRmQTlvcm80UEwzaTRW | |
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1872 | Q09pd1hRMWxqT0VnZUxOeUJIekZFTlpCVEdJZ0JMOEtEd0VLR29OdURmZmRkeCt5c3JJZ2lpSjI3 | |
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1873 | ZHFGCkVTTkdtSDJPRm92ekF3ODhZTkpqWE92b05FWmtMODFIWXJzYTFsRms2ZkJlSjhUbXViR09Z | |
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1874 | UlY2cUxDaWFnSThxVi9MTDVhQW84UUoKRldRQzZ4aVNzbVRKRXN5Yk53L1IwZEZ3YzNQRFk0ODla | |
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1875 | dlk1bXV4TjBlbDAwR3ExS0M4dlIwWEY3MnU1bHBXVlNYYUhiQ1ZJV1hFVwpnNTdvZ0J6NG85N0k3 | |
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1876 | MGJNa2JUV0dVTmZNK0pBTy9uL0JWSXFxckZWTXhVUGUzMkJPbUw1L3AzMjhoM3Bqci9TUUFCWFdV | |
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1877 | ZVJoSjQ5CmUxbzB0dmxPVGQ0NXIxNjlHdjM3OTBkQlFRSDY5ZXZYOERGcjFpeTgrT0tMclhwVHJu | |
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1878 | a0hOaFdqVjBreC9EMlUwSVpxVHdScEM5M1EKdDA0WkRSeTVCbjhjMDA0RW9kTHZpOUFRZ2tQQ0ZO | |
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1879 | WXhGS1hGRHNFVksxYmdoUmRlc0ZlZVJpbTlRN0FwSFhxNXcyMWtONXk5SnYwZgpUaW54Q3hUaCsw | |
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1880 | b05paFd5NE5SY2p6eTR1KzVoSGFObGxPSjU4U0RVTUcrUFVXdVRRb2VnTlRUNVU1K1RrNFBTMHRL | |
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1881 | R3dyeDc5MjQ4CitlU1RXTFZxRmJSYXJkV0RjUGNxTHREaTZxWlQ2TmVlYnlKcmpodFhCVGl0ZDRj | |
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1882 | SDZ5QldzckltQW1vRDJ4M25UVUlJZmhENkE0cTUKOG13MVdaei84cGUvTkN3TmV1Yk1HVHp6ekRO | |
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1883 | NDRJRUhrSmVYaC8vKzE3U1pNMXpyVmQ4d0lIZlpTU1FHOGwrSTVqaWRxMExQWDVVegpRZUxOcXFI | |
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1884 | d0ZidXpqdEdpVWtKd2pqekNPb1lpTkZtY2pVWWoyclJwQStCVzA4YlRUeitOcDU5K0doOSsrQ0V5 | |
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1885 | TWpMc0ZwQURxQkZJCldYWUdnMTF2UUNVbzQwOTFlOGphNm96NE04cll2Y01JQVV1ckhvWTNsZjd1 | |
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1886 | MHR1SVA0eVExMnA3VXRSa2NmYno4MnRvdnRpK2ZUdW0KVHAwS0FIQnlja0oxZGJWOTBuRjNTZHR3 | |
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1887 | Q1gydTgwMWt6YkYvbVF0aXE1UXh4ZnVhNklhdk5GUGdSdDFaUjJtV1NBaCtFVWJBaEpHNgpYRE9h | |
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1888 | dkhwUFBQRUU0dUxpTUdMRUNIVHYzaDB4TWJmYXZFNmZQZzFmWDErN0JlVHVkbVJQT1FLUFhVQ1FO | |
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1889 | eS9RcGlISWZrdXRtQjI5Cmp4dDhrYTJkRElGS2UwVEtDZUtFYTJRUzZ4aXkxdXhvalpLU0VoUVdG | |
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1890 | bUxJa0NFTnk0WVdGaGFpdXJvYTBkSFI5Z3Zwb0tNMW1oTVEKNGdiZkNUMzRsRzhUQlhVUm9YcTVC | |
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1891 | dVdLbU9JTi9NWDlKUHpjZm1RZG8xbnVsR0syK0RVSWl1MzZ2a29acmRIaVVEb3A0TVc1Y1I2KwpU | |
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1892 | Z2lkMlJPSFNwVHhaN3V0M1QvWWdLTEh0SkRKb3B3dGV0VXJGWHJuQTZ4ak5DdUIxaUpXL05DdTc2 | |
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1893 | bVU0c3h2dTJTczVxWUJoNWVmCnhPQmc2YzhnazRMamFVNkl6RlRHRkc4QWVGc1REMSt4RitzWXpV | |
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1894 | b2xidEJDUGl2dFNRa3Z6akluR29DMDl3dVI2TWVuMUpzaWJaTUwKNG91VnNRdU5DQUdMYm82QkR3 | |
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1895 | MWlIYVZaM3d0UkFMeFl4NUFkWHB3Vkl1WGo4eGlJYTNCV1NiNlZpcm1reGE2STBrbTdRODFVbFhE | |
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1896 | QgpocXBKVUZQcDdxcHpsUkNjNW1PZnpjYUxzNEprZkZXQzNsZEw0SzNtQmJvNVZDUTQrWTQ3UWhT | |
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1897 | eWszZWgwUnZIZEdOWngyaldqOFFYCkJrU3dqaUVyeXZqdTVCcms3YjJPdG9lTDBNR1hGK2ptYUc0 | |
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1898 | UTFIK2loamZySUZieWZXMFhlQm1sVy94RVFyQmJlQUJReUtyYjlzQ0wKc3dLZE82eEIzYzdUQ0Ew | |
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1899 | UVdVZVJ0S0tUS29Uc2NsZk1EOEZ5elZDNFUrbTI3UllTQVdXRXIxeG5LcVY4WDNKL2NPMVNMUzZz | |
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1900 | eTBkLwp2cnRLc3c3OTVJUzRFOHFZNGwwdXV1R2tiaFRyR00zNmxuUUNSV2ZXTVdTQkYyY0YwMm1N | |
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1901 | T0xRc0h3bEJPdFpSSkMxcGxRc0dWaml6CmptRVYzOVIyZzdleEQrc1lUYW9sQkJrQzN6WEZGTHc0 | |
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1902 | S3h3MUFxa2ZuRWFpTjkvM3NXa0VCOTV5UTNpOU10cERWMnFHUVUybHUyem4KQWVLS2FqS1NkUXpK | |
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1903 | NDhYWlFhU3NMa0tjc1J3dVRyeWpzREgxZW9LTDc2a1JST1cvTmRnVlVZM1R0ZEp1M3RoQytnRHdZ | |
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1904 | UjFEMG5oeApkaUNaMzVhaVozRXhmTjE1Z1c3TTlSSUI2bzN1VU1JcTBGL3Flc0RIR000NlJwT3VF | |
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1905 | WUpUZk94enMzaHhkakRIZjZ1QVQ5WjVkUExqCkJib3hCVGtxOUU1V1Fua0dQdFlNbC9UeW9qdUpO | |
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1906 | K3JSajNVTXllTEYyUUZkT0Y0TjdmWUM5QTQwc280aVNSbmZPV053a2Z5bmVGOFcKM1hHaFRzSnR1 | |
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1907 | NFJncHpBRWdESTZZNjJORjJjSGRiMVlqN05yOHpHQUQ3VnIxRzlMWFJGVExmL1YvalpvZThKSERH | |
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1908 | VWRvMGxuaVlCUwpNcFYxREVuaXhkbUIxZFdJeVA0Z24rOVAyQmhLa1B1MkdqMk1jdjhSSVZoZE5R | |
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1909 | S3VWTHBOTmQrUjlxRG95anFHMVJtTlJrUkZSV0hjCnVIRVdIUy8zN3p5dXRjUmIreE1tZWxhQ0VO | |
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1910 | NE9mU2VkaHFCeXBUdjhJZThSSEJkRUR4VFhQY2c2UnBQMGhDQlZzS3lBU2RueTVjdlIKdTNmdmhv | |
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1911 | MUt6TVdMTXdjQVNGbDdBVEYxNVhCejVnWDZUc1ZuQkFSOHI0YmNHemcrMDRiQ1YrekpPa2FUc29r | |
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1912 | TE5HUTA2eGhXYy9ueQpaZXpldlJ2UFB2dXN4UXZ4OCtMTU5jaisvZ3E2RlJXampRY3YwSGM2dXQ4 | |
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1913 | Si9YUGx2a2cvd2RxcUIrRktwZnQxZkV0NkEvQm5IY01xCi92NzN2K085OTk2RElGaGVZdVYrUThC | |
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1914 | WjJjbVVDblFxcjRQbjhLNjRVTUYvZDkrV3NzNEZ3em9Za1I0bzN3N1VjNklucnRhTmdLL2IKVHRa | |
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1915 | UkduV0RFSndnMHhCT1Y3T09BZ0FROXpVK1lvZWVTQUU5bVhMcjM0MDh2M1BuVGdRRUJDQXFLZ3BK | |
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1916 | U1VrV3Z6L2ZRNUJybEcrZwpDem8rZmgrT1gxSEdsR1pyVURsUlJDL1NJczlOemtNUUtSYjYvb0Ni | |
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1917 | d2huV1FScEhLVjRRMCtDQ0xJdFBZYTA5QkRIZHhITjhSZTU2CnYvLys5Ny80NG9zdjRPVGtoTnJh | |
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1918 | V2xSVlZXSEtsQ25ZdUhHamVSbDRjZWFhNHFJV0VEV25KN0pLNUQvbTExcDgyNGxvODc4MXVDVGoK | |
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1919 | enRPZXFpbzg2cjBPZWxMSE9rcWp1bEFSVThXUEFGaVdqM1Z4dmxOeWNqS1dMRm1DSDM4MGY2ZDAv | |
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1920 | bmNyMXlTOVRrVFcwbE5JRE9CRAo3VzY3V1M2QXJuV0hkRGVGYWxtaDBSc1YrZ2RZeDJoU0VSRndt | |
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1921 | VXhqSGNOcVpERmFZL1BtelJneVpBakN3OFB4NmFlZkFnQVdMRmlBCmpoMDdJaW9xQ2xGUlVkaXpa | |
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1922 | NDg5STNFbVNGbCtCZ25xbXhCa2ZMZG9UZWVPcXREOVo3V3NCOWg5VkhNL2ZFWHBqaTMrZ1FSQ3hI | |
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1923 | MnMKWTdUYWtDRkRzR1BIRG91T3RWdXpSbVZsSlFZTUdJRE16RXc0T3p0aitQRGgyTHQzTDVZdFd3 | |
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1924 | WXZMeS84NHgvL2FEb2tiOWFRaFA0VApBbkhDTndBNnZaekxrdlVNbTF1SDlGN1NiQm93UlcrblNr | |
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1925 | ejJXb2Q2b21jZHBWSFJ0QjdEeGVWbUh5ZWxabzNXc051ZDg0RURCeEFkCkhRMC9Qejk0ZW5waTJM | |
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1926 | Qmh5TWpJQUFDYmZHR2M5UjNjZmhVaHB5K2hyU2YvL3dLQS9TdGRFSGRUdnV0Q25EVDRvRW8vakhX | |
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1927 | TUp1VVMKWjFRUzVVMU9NWlhkaW5OaVlpS3lzN054L3Z4NWxKYVdZdmZ1M1RodzRBQUFZT1hLbFlp | |
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1928 | TGk4UGl4WXVoMFdqc0ZZbXp3S2tETitHYQpmQlpkMi9EOUNRR0N6SGZjRUdxUWI5Zk5pcG9JK0lv | |
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1929 | aHJHTTA2VnZTRTBBNzFqR1lzT3RvalI5Ly9CR3JWcTFDWldVbFFrSkNjUC85CjkrTzU1NTVEMjda | |
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1930 | dFVWVlZoWC8rODUvbzJiTW5Ybjc1NWJ0REVnSmcxaDJQOUFjUVk2L1lYQ084MnppaDI1OTc0a2dw | |
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1931 | SHlvZjNGV0UKOGFWcTNHUWR4RUtKemxjeDBHc0Q2eGhObWlxV293djl2TW5uVTVORnBDWC9Yc1lX | |
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1932 | dldGVVJMTUdzNkYwanozMkdQNzFyMzhoT2pxNgo0Ykc4dkR6TW1UTUg2ZW5wZDcyV3R6bExrK0FF | |
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1933 | REpyYkUybFhwRHZyekY3aUp0Y2pkN2g4OTJwYzZQc2RiZ3JuV01kb2xCK2xtQ2wrCkNGT0gxdkUy | |
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1934 | Wnd1VWxaVUJBUGJ0MjRkang0NGhPam9hcGFXbEFBQ0R3WURObXpkanpKZ3g5b3pFdFlKb0FOSStL | |
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1935 | RVNDQngvSmtmbUQKTXdhVnk3ZjlPVnNYeXpwQ2syNFFBZzJSYnR1NHJkaTFPRStkT2hXaG9hSDR6 | |
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1936 | My8rZy9YcjF3TUEvdWQvL2dkOSsvWkZYRndjNnV2cgpNWHYyYkh0RzRxd2c5ZE9MaUtxNkNpODN4 | |
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1937 | eTdRQjk1elEzZVpMakc2dGE0VGZHZ3c2eGhOeWlUU1haUGFWdmdNUWM1cXVrVjdvUzYyCkM0cHZP | |
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1938 | dTVRdSs0UlJwUS9WNE5hMWtFczhMUjdBUUxkdHJHTzBUaEs4WGR4TjFUSWIvR2x2Rm1ENC83Z1hL | |
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1939 | NEd1bTBGdUQ5SXptdFAKdE03WlBCV2laTHFDM1JmYSsrQkovVmpIYUJ3aE9FUGlXYWV3SzE2Y09h | |
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1940 | dXFLTldqWUZVK0JyV1g3K1NNMWtwZTU0d1lqZnhHc1JnaApvRnd2M2Jiblg0a1BBQy9XTWV5R0Yy | |
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1941 | Zk82dXByUlJ4WVdvQkVYMGNkczA1d2JJa2F3VlIrelR2cmFucExkc2R1TFNHb0lDTll4N0FiClhw | |
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1942 | dzVtMGxaZFI2eDlXVlF1MGkrVzhQcXFxNFRlRzlSeSs0SHJCck9xS3VYN2h5Q0ZOS0ZkUVM3a2R2 | |
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1943 | M0RpY3pXVnV1b0hQaEpRUjYKTzE2QlBwYnNoRUZuWFZuSE1Oc0diUVNjcVRTSEJaNGhLdFNqUCtz | |
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1944 | WWRzR0xNMmR6QlJrM2daOVBvMWVBNDAzNTNyL2NCWDNyNUxWaAp3UlZSRFNkakZPc1lUVHBKcEh0 | |
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1945 | bmIwMjhPSE4yY2JXb0ZoYytPNG5ZOXZMZDVza1NWQ1M0dEVJTlg1a3RNUHBWVFQ4UUtzM3lrRXpj | |
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1946 | CjRRanJiVWp6Nm5PS1ZGc3RJbXRwUGhMYjFyQ09ZbGRYTHdqb3VrOWV3K3NLak43d0VzTlp4MmlV | |
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1947 | bmhCY0lkTGRMTUJhZUhIbTdDNWwKNVZrTUl0ZmhySEtjZHVpc2JjNkl2eXJOZHR5bS9LZ2R3RHBD | |
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1948 | ay9hVERvRE0vaG94RnkvT0hCTUhOaGVqVjNFeDJuZzRUb0ZPZjg4TgpQV1EwdlR1enZpMTh4UjZz | |
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1949 | WXpTcW1CRFVZakRyR0RZbG4rOFVUbkdPNzYrQVcrcFpkRy9yR0IyRitsb0MzVm8xMUt5RG1DRk53 | |
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1950 | Z3NpCkhSWWlXVWV3S1Y2Y09hYUtDN1M0dXVrVStyVTNzSTVpRitlUHF4QnhVRDd0ejd2cU9zQ1hk | |
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1951 | bUFkbzFFWmNBRkZKOVl4YklZWFo0NjUKNmhzRzVDNDdpY1JBK2E2SGJJNlVEYzRZVUNXWDZkMEV4 | |
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1952 | MnZqV0lkb2xFZ0lMaWw0S1ZGZW5EbEpvRVlnWmRscERIYTdBWldnOUhabwpncnozMU9nZ2srbmRY | |
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1953 | K202d1l1MllSMmpVYitTZGdEazFkRnFLbDZjT1VsSlczOEpmYTVmZ2JkYTJRVmFjNFBBNHhzMTVE | |
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1954 | QTlSWVNBCkVva3VpSFNkRUZTVDRheGoyQVF2enB6a0hObFREditjSW5UMlYzYUJQcDdtaExqVDhw | |
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1955 | amV2YjRtREdycXlUcEdvN0lrdGhEL3BVdVgKTUd6WU1JU0hoMlBvMEtIWXZIbXpSZWZoeFptVHBL | |
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1956 | SmpHbFIrVjRDSVlHV3ZEWjIwMGdVUnRkSy9mOWJCQ1RVU1hSRHBNSndnb2hmcgpHQTJjblozeHdR | |
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1957 | Y2Y0TVNKRTlpeVpRdGVlZVVWYURUbXI5RElpek1uV1pWbGVoeGZlUkx4d2NwZEc1cUtCQmVXcStF | |
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1958 | dmd3a1Y2N1Y5CjRVeGRXTWU0RnlFNFM2UXo1amtvS0FpUmtiZUcrYlZ0MnhiaDRlRTRlUENnMmVm | |
|
1959 | aHhabVROR005UmZyN0JVajByZ1JSNkNheVpaY0UKZE5vai9lRjExMFEzQ0laK3JHTTA2bGZpQzhD | |
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1960 | NnpTNHFpQzErQ0dqK2UvTE1tVE00Y2VJRUJnd3dmN2FsWE1iemNBNHVaZlVGOUo4UQppSHkvQU5U | |
|
1961 | VVNmOHUwMXc1TzUweExNS0k5R0E5NnlqTjJsUVRqVWQ5c2lFU2FUVTNWUk9DRytRQitOSHRWanVu | |
|
1962 | TWFlMDhTZDBHYmMrCldxRFJhUERvbzQvaWd3OCtnSWVIaDludnp6ZDQ1V1NsUjR3M3RQMUNVRktw | |
|
1963 | dkFMdDdFTFI2NzBhRktxa1BXUHlMWitmb1ZFZFlSM2oKSGoycGlQSGkrOWJiNE5Ya21oTnh6L3ZW | |
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1964 | MTlkajdOaXhHRE5tREY1ODhVV0xNdkJtRFU1V3p1UlVvVzVuSVhvSFN1dk96UnJxOVFUVgpxOVdR | |
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1965 | NWlaUnYvdWhScG9kZzRWRWdBSFJyR09BVW9xWk0yZmkvdnZ2dDdnd0E3dzRjekowL1hJZHpxek9S | |
|
1966 | MzhGcmcxZGRGS0ZQdG5TCmJuL09OZmpEVjVUTzZJZzduU1RzeDJPbnA2ZGowNlpOK08yMzN4QVZG | |
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1967 | WVdvcUNqczJiUEg3UFB3WmcxT3RyemJ1Y0JqU2krVUtxNkoKZ3lMaGJSMnlmS1M3M3NoSTF4SkVl | |
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1968 | WHpCT3NZOVhDakZxOEpDNXMwYTFzRHZuRG5acWlyWEkrQnNpUUpIY1JBY1hxSkdSd2xQNy82bApy | |
|
1969 | ajE4eGM2c1k5eERUNlI3emN6Rml6TW5hM2w3cnlPeHJaWjFES3VydmtIZzlyVmEwc09wanRTeWIw | |
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1970 | SlFNbDZjT2RsTFczVU9vUXJjClBQWmt1aE5pQzZRN3ZmdWIycTd3cHNyZnk0OFZYcHc1MlRQV1Ur | |
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1971 | aCtMWUxhUlduTkc4RCtEMTBRS2RucDNRUVg2cVM1bktnUzhPTE0KS2NLRjQ5WG9SMjZ5am1GOWxP | |
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1972 | RDhCMnEwa2VqMDdnM2FYdkNnM3F4aktCSXZ6cHhpcEcyNGhBRUtIRjVYWGl5Z3cwL1MzTnhLRHhW | |
|
1973 | dQoxa3QzSTFnNTQ4V1pVNVRUWDU1RmdKZnltamNPN25KQ2ZMRUVGeDBDc0w3NmZyaFNhWS9ObGlO | |
|
1974 | ZW5EbEZ1WEZGanc2WHI3Q09ZUk9wClMxM1J5eUM5SDlrYmNJVm82TTg2aHVKSTczK2E0MXJwOE81 | |
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1975 | eUpBWXFiM2lkUVU5UXVWb044NWZRc2IwdmFpS2hvbEllK0NjL3ZEaHoKaXBUeHlUbmMxMDU1dytz | |
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1976 | dTVxc1FuaUc5Sm9RTG9nZmNqQkdzWXlnS0w4NmNJdFhYaWpDbVhZQ3JrL0xhbjlPK2RFSGNUZWx0 | |
|
1977 | YXZxOQp0aDhnNFZtTmNzT0xNNmRZNTNJMWlIV3BaQjNESmc2KzY0Yk9vclIrZlBNTWZ2Q2hZYXhq | |
|
1978 | S0lhMC9uYzV6c3BTUHJ1SWZ1Mmx1NENRCnBiUlZCTTZiMVpEYS9mTXZXbWt1SnlwSHZEaHppbGYw | |
|
1979 | elZtMDhWUmU4MForcGdvRDhxVTF2VHRKSHdSZnNRdnJHSXJBaXpPbmVOY3YKMTZIcjFhdXNZOWpF | |
|
1980 | L285ZEVLV1QxdlR1ZzN4QkpLdmd4Wmx6Q0FkM2xDRWhTTWM2aHZWUmdqTWZxTkZPUXRPN3Y2OE5n | |
|
1981 | UThOWkIxRAo5bmh4NWh4RzlwcXo2TlpXZWNQcnJwY0k2SkVycGVZTmdyTjhRYVJXNDhXWmN4aDFO | |
|
1982 | U0pVV1pmZ3JGSmUrL09CVGM0SWx0QXd0bzNhCisrQkJmVmpIa0RWZW5EbUhjanE3RWdNOXFsakhz | |
|
1983 | THA2UFVHWG85SzVlNjZIQ3RmMXZPMjVOWGh4NWh4T3l1b0xpQXhXM3ZDNmpDK2MKRVNDaHR1ZDFO | |
|
1984 | ZUZ3bzlKY1RVOE9lSEhtSEZMSjkrZmc2NjZzNWcxOUxVR1A0OUpadVU0REYrZ05mTnl6cFhoeDVo | |
|
1985 | eFMyWVZhOUx4Wgp6anFHMVdWc2RFRmJDZDA5YjZ5SmhCT1YybFFaZWVERm1YTlkyZDlmd2VEZ1d0 | |
|
1986 | WXhyS3BPUzlEcmxIVHVub3RGTlp5TmtheGp5SkpkCmkvUG16WnN4Wk1nUWhJZUg0OU5QUHdVQWFE | |
|
1987 | UWFUSmd3QVowN2Q4YkVpUk5SWFYxdHowZzJsTU02Z0FYa2xybjFlUSt0UFlzUWZ6c08Kcjd1YVpQ | |
|
1988 | TzN5UHpjQmY1V3ZIc1cwMUpiZGZ5MzJuNGdFaHBKWWc4cEtTa0lDd3ZEZmZmZGg1VXJWMXAwRHJz | |
|
1989 | VjU4cktTcnorK3V2WQp0bTBic3JLeXNHYk5HbFJXVm1MVnFsWG8zTGt6VHA4K2pZNGRPK0tUVHo2 | |
|
1990 | eFZ5UWJPOGc2Z0FYa2xybjFlWFVhSTlTSEw4UEpYc1ByCnlwSnMvaFk2RFVGWW9mWHVubWw2V3F1 | |
|
1991 | T1AybndnWmNZYnFVMDhqQnYzanlzWHIwYSsvYnR3MGNmZllScjE2NlpmUTY3RmVjREJ3NGcKT2pv | |
|
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1993 | bDRaMURLdksvdHdGdnF4RAozR0czQXkySVZGbDVheVhFeE1SRWhJU0VZT1RJa1JiVk5idHRYWkNZ | |
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2011 | SE5qUVRqWjI3RmdrSnllYmZLeVU4dDRteFd2czRlRngxK3ZkM054TVBsWnFtVyt6NTNVMjlUcXRY | |
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2021 | U21TOWN1RUI3OU9oQk16TXp6VDVXU25tbGZJM1BuRGxEUlZHawpsRks2YTljdU9ucjBhSk9QbFZw | |
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2025 | VGlNakkra3p6enhEangwNzF1eXhVczdNNmpxM2xQZE9meXpPcks1eAphOWgxRWdySGNSeG5HcjRU | |
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2029 | ODFadVBEdW5UblMwOVB2ZVUzLy92MnhmUGx5QU1EKy9mdGxNL09SNHdCZQpuRGs3bURKbENuYnQy | |
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2033 | UEhqOGZYWDMrTnFWT240aTkvK1F2MjdObURObTNhWU5Tb1VZaVBqMGRZV05oZAp4NjVidHc1K2Zu | |
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2037 | c2hQUHNzODlpL2ZyMUFJQU5HemJnbVdlZXNlaThIR2NydkRoemRqRisvSGo4K3V1dgpPSHo0TUxS | |
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2038 | YTdUMTN1cFRTZXg0N2QrNGNWcTFhaGUrKyt3N0hqaDFEMTY1ZGNlUEdEWXZlLzQvbkhqUm9FSXFL | |
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2039 | aXBDVWxBU2owWWplCnZYdGJkRjZPc3hWZW5EbTc4UFQweExCaHcvRE1NOC9nOGNjZlIxeGNIRTZk | |
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2040 | T29Xelo4L2l4bzBiMkxwMUs4YVBIMy9YTVNVbEpXalgKcmgzOC9mMlJucDZPdkx5OGh1ZmF0V3NI | |
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2041 | clZacjh2dUhoSVNndkx6OHJzZWVldW9wL09sUGY4S01HVE5hOThWeG5BM3c0c3paemZUcAowM0hz | |
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2042 | MkRGTW56NGRoQkNzWHIwYWMrZk94ZGl4WXpGejVzeUdCZEZ2MytVT0hqd1lJU0VoQ0FzTHc3Smx5 | |
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2043 | ekJpeElpR2M4MmRPeGNKCkNRa05IWUozM2hrMzl1K1JJMGZpNE1HRGlJcUthaGpaOGZqamorUEdq | |
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2044 | UnVZUG4yNmJiOXdqck1BWC9pSWMxaWJOMi9HL3YzN0czWWwKNFRncDRhTTFPSWMwZCs1Y3BLZW5Z | |
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2045 | K2ZPbmF5amNGeWorSjB6eDNHY0JQRTJaNDdqT0FuaXhabmpPRTZDZUhIbU9JNlRJRjZjT1k3agpK | |
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2046 | SWdYWjQ3ak9Bbml4Wm5qT0U2Qy9nOThaRERrMHdkQ3pRQUFBQUJKUlU1RXJrSmdnZz09Cg== | |
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2047 | </png> | |
|
2048 | </output> | |
|
2049 | </outputs> | |
|
2050 | </codecell> | |
|
2051 | </cells> | |
|
2052 | </worksheet> | |
|
2053 | </worksheets> | |
|
2054 | </notebook> | |
|
1 | { | |
|
2 | "nbformat": 2, | |
|
3 | "name": "mcpricer", | |
|
4 | "worksheets": [ | |
|
5 | { | |
|
6 | "cells": [ | |
|
7 | { | |
|
8 | "source": "# Parallel Monto-Carlo options pricing", | |
|
9 | "cell_type": "markdown" | |
|
10 | }, | |
|
11 | { | |
|
12 | "source": "## Problem setup", | |
|
13 | "cell_type": "markdown" | |
|
14 | }, | |
|
15 | { | |
|
16 | "cell_type": "code", | |
|
17 | "language": "python", | |
|
18 | "outputs": [], | |
|
19 | "collapsed": true, | |
|
20 | "prompt_number": 1, | |
|
21 | "input": "import sys\nimport time\nfrom IPython.parallel import Client\nimport numpy as np\nfrom mckernel import price_options\nfrom matplotlib import pyplot as plt" | |
|
22 | }, | |
|
23 | { | |
|
24 | "cell_type": "code", | |
|
25 | "language": "python", | |
|
26 | "outputs": [], | |
|
27 | "collapsed": true, | |
|
28 | "prompt_number": 2, | |
|
29 | "input": "cluster_profile = \"default\"\nprice = 100.0 # Initial price\nrate = 0.05 # Interest rate\ndays = 260 # Days to expiration\npaths = 10000 # Number of MC paths\nn_strikes = 5 # Number of strike values\nmin_strike = 90.0 # Min strike price\nmax_strike = 110.0 # Max strike price\nn_sigmas = 5 # Number of volatility values\nmin_sigma = 0.1 # Min volatility\nmax_sigma = 0.4 # Max volatility" | |
|
30 | }, | |
|
31 | { | |
|
32 | "cell_type": "code", | |
|
33 | "language": "python", | |
|
34 | "outputs": [], | |
|
35 | "collapsed": true, | |
|
36 | "prompt_number": 3, | |
|
37 | "input": "strike_vals = np.linspace(min_strike, max_strike, n_strikes)\nsigma_vals = np.linspace(min_sigma, max_sigma, n_sigmas)" | |
|
38 | }, | |
|
39 | { | |
|
40 | "source": "## Parallel computation across strike prices and volatilities", | |
|
41 | "cell_type": "markdown" | |
|
42 | }, | |
|
43 | { | |
|
44 | "source": "The Client is used to setup the calculation and works with all engines.", | |
|
45 | "cell_type": "markdown" | |
|
46 | }, | |
|
47 | { | |
|
48 | "cell_type": "code", | |
|
49 | "language": "python", | |
|
50 | "outputs": [], | |
|
51 | "collapsed": true, | |
|
52 | "prompt_number": 4, | |
|
53 | "input": "c = Client(profile=cluster_profile)" | |
|
54 | }, | |
|
55 | { | |
|
56 | "source": "A LoadBalancedView is an interface to the engines that provides dynamic load \nbalancing at the expense of not knowing which engine will execute the code.", | |
|
57 | "cell_type": "markdown" | |
|
58 | }, | |
|
59 | { | |
|
60 | "cell_type": "code", | |
|
61 | "language": "python", | |
|
62 | "outputs": [], | |
|
63 | "collapsed": true, | |
|
64 | "prompt_number": 5, | |
|
65 | "input": "view = c.load_balanced_view()" | |
|
66 | }, | |
|
67 | { | |
|
68 | "cell_type": "code", | |
|
69 | "language": "python", | |
|
70 | "outputs": [ | |
|
71 | { | |
|
72 | "output_type": "stream", | |
|
73 | "text": "Strike prices: [ 90. 95. 100. 105. 110.]\nVolatilities: [ 0.1 0.175 0.25 0.325 0.4 ]" | |
|
74 | } | |
|
75 | ], | |
|
76 | "collapsed": false, | |
|
77 | "prompt_number": 6, | |
|
78 | "input": "print \"Strike prices: \", strike_vals\nprint \"Volatilities: \", sigma_vals" | |
|
79 | }, | |
|
80 | { | |
|
81 | "source": "Submit tasks for each (strike, sigma) pair.", | |
|
82 | "cell_type": "markdown" | |
|
83 | }, | |
|
84 | { | |
|
85 | "cell_type": "code", | |
|
86 | "language": "python", | |
|
87 | "outputs": [], | |
|
88 | "collapsed": true, | |
|
89 | "prompt_number": 7, | |
|
90 | "input": "t1 = time.time()\nasync_results = []\nfor strike in strike_vals:\n for sigma in sigma_vals:\n ar = view.apply_async(price_options, price, strike, sigma, rate, days, paths)\n async_results.append(ar)" | |
|
91 | }, | |
|
92 | { | |
|
93 | "cell_type": "code", | |
|
94 | "language": "python", | |
|
95 | "outputs": [ | |
|
96 | { | |
|
97 | "output_type": "stream", | |
|
98 | "text": "Submitted tasks: 25" | |
|
99 | } | |
|
100 | ], | |
|
101 | "collapsed": false, | |
|
102 | "prompt_number": 8, | |
|
103 | "input": "print \"Submitted tasks: \", len(async_results)" | |
|
104 | }, | |
|
105 | { | |
|
106 | "source": "Block until all tasks are completed.", | |
|
107 | "cell_type": "markdown" | |
|
108 | }, | |
|
109 | { | |
|
110 | "cell_type": "code", | |
|
111 | "language": "python", | |
|
112 | "outputs": [ | |
|
113 | { | |
|
114 | "output_type": "stream", | |
|
115 | "text": "Parallel calculation completed, time = 2.57819604874 s" | |
|
116 | } | |
|
117 | ], | |
|
118 | "collapsed": false, | |
|
119 | "prompt_number": 9, | |
|
120 | "input": "c.wait(async_results)\nt2 = time.time()\nt = t2-t1\n\nprint \"Parallel calculation completed, time = %s s\" % t" | |
|
121 | }, | |
|
122 | { | |
|
123 | "source": "## Process and visualize results", | |
|
124 | "cell_type": "markdown" | |
|
125 | }, | |
|
126 | { | |
|
127 | "source": "Get the results using the `get` method:", | |
|
128 | "cell_type": "markdown" | |
|
129 | }, | |
|
130 | { | |
|
131 | "cell_type": "code", | |
|
132 | "language": "python", | |
|
133 | "outputs": [], | |
|
134 | "collapsed": true, | |
|
135 | "prompt_number": 10, | |
|
136 | "input": "results = [ar.get() for ar in async_results]\n" | |
|
137 | }, | |
|
138 | { | |
|
139 | "source": "Assemble the result into a structured NumPy array.", | |
|
140 | "cell_type": "markdown" | |
|
141 | }, | |
|
142 | { | |
|
143 | "cell_type": "code", | |
|
144 | "language": "python", | |
|
145 | "outputs": [], | |
|
146 | "collapsed": true, | |
|
147 | "prompt_number": 11, | |
|
148 | "input": "prices = np.empty(n_strikes*n_sigmas,\n dtype=[('ecall',float),('eput',float),('acall',float),('aput',float)]\n)\n\nfor i, price in enumerate(results):\n prices[i] = tuple(price)\n \nprices.shape = (n_strikes, n_sigmas)\nstrike_mesh, sigma_mesh = np.meshgrid(strike_vals, sigma_vals)" | |
|
149 | }, | |
|
150 | { | |
|
151 | "source": "Plot the value of the European call in (volatility, strike) space.", | |
|
152 | "cell_type": "markdown" | |
|
153 | }, | |
|
154 | { | |
|
155 | "cell_type": "code", | |
|
156 | "language": "python", | |
|
157 | "outputs": [ | |
|
158 | { | |
|
159 | "output_type": "pyout", | |
|
160 | "prompt_number": 12, | |
|
161 | "text": "<matplotlib.text.Text at 0x2c54750>" | |
|
162 | }, | |
|
163 | { | |
|
164 | "output_type": "display_data", | |
|
165 | "png": 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lF/exgIFcET0xzCKg1XZm6uuyWcPR0ZG6ujqcna93yK6rq0OttvIO8mMzod9G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\nA4CDCGcAcBDhDAAOIpwBwEFfFzJgnth8qvoAAAAASUVORK5CYII=\n" | |
|
166 | } | |
|
167 | ], | |
|
168 | "collapsed": false, | |
|
169 | "prompt_number": 12, | |
|
170 | "input": "plt.contourf(sigma_mesh, strike_mesh, prices['ecall'])\nplt.axis('tight')\nplt.colorbar()\nplt.title('European Call')\nplt.xlabel(\"Volatility\")\nplt.ylabel(\"Strike Price\")" | |
|
171 | }, | |
|
172 | { | |
|
173 | "source": "Plot the value of the Asian call in (volatility, strike) space.", | |
|
174 | "cell_type": "markdown" | |
|
175 | }, | |
|
176 | { | |
|
177 | "cell_type": "code", | |
|
178 | "language": "python", | |
|
179 | "outputs": [ | |
|
180 | { | |
|
181 | "output_type": "pyout", | |
|
182 | "prompt_number": 13, | |
|
183 | "text": "<matplotlib.text.Text at 0x2e14610>" | |
|
184 | }, | |
|
185 | { | |
|
186 | "output_type": "display_data", | |
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187 | "png": 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ebtVCtksyoi8YjotW0SWqRzQbY4xAu8VjtYoHQ1lBiGgZDkdm/1nGU4Ghu6Ho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\nRU5ErkJggg==\n" | |
|
188 | } | |
|
189 | ], | |
|
190 | "collapsed": false, | |
|
191 | "prompt_number": 13, | |
|
192 | "input": "plt.contourf(sigma_mesh, strike_mesh, prices['acall'])\nplt.axis('tight')\nplt.colorbar()\nplt.title(\"Asian Call\")\nplt.xlabel(\"Volatility\")\nplt.ylabel(\"Strike Price\")" | |
|
193 | }, | |
|
194 | { | |
|
195 | "source": "Plot the value of the European put in (volatility, strike) space.", | |
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196 | "cell_type": "markdown" | |
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197 | }, | |
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198 | { | |
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199 | "cell_type": "code", | |
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200 | "language": "python", | |
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201 | "outputs": [ | |
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202 | { | |
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203 | "output_type": "pyout", | |
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204 | "prompt_number": 14, | |
|
205 | "text": "<matplotlib.text.Text at 0x32ee190>" | |
|
206 | }, | |
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207 | { | |
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208 | "output_type": "display_data", | |
|
209 | "png": 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Sk9ylGKXZlDOc/aiplrsU2Zk3mzK5SMuAGwfkLsWwZE+FPSfA8OOgQ+UWwTj+PV3W7dlW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\nhjghhLgxGuKEEOLGaIgTQogb+z9RrMAdh+sfRQAAAABJRU5ErkJggg==\n" | |
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210 | } | |
|
211 | ], | |
|
212 | "collapsed": false, | |
|
213 | "prompt_number": 14, | |
|
214 | "input": "plt.contourf(sigma_mesh, strike_mesh, prices['eput'])\nplt.axis('tight')\nplt.colorbar()\nplt.title(\"European Put\")\nplt.xlabel(\"Volatility\")\nplt.ylabel(\"Strike Price\")" | |
|
215 | }, | |
|
216 | { | |
|
217 | "source": "Plot the value of the Asian put in (volatility, strike) space.", | |
|
218 | "cell_type": "markdown" | |
|
219 | }, | |
|
220 | { | |
|
221 | "cell_type": "code", | |
|
222 | "language": "python", | |
|
223 | "outputs": [ | |
|
224 | { | |
|
225 | "output_type": "pyout", | |
|
226 | "prompt_number": 15, | |
|
227 | "text": "<matplotlib.text.Text at 0x3487c50>" | |
|
228 | }, | |
|
229 | { | |
|
230 | "output_type": "display_data", | |
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231 | "png": 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AHMWw/9Yh3UGGLv5JfQYd1d+zjtF6lOIFMRUuyGadpGWUwmtNb5Bz5v+s38lh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\nJIgXZ47jOAnixZnjOE6C/g98ZDDk0wdCzQAAAABJRU5ErkJggg==\n" | |
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232 | } | |
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233 | ], | |
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234 | "collapsed": false, | |
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235 | "prompt_number": 15, | |
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236 | "input": "plt.contourf(sigma_mesh, strike_mesh, prices['aput'])\nplt.axis('tight')\nplt.colorbar()\nplt.title(\"Asian Put\")\nplt.xlabel(\"Volatility\")\nplt.ylabel(\"Strike Price\")\n" | |
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237 | } | |
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238 | ] | |
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239 | } | |
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240 | ] | |
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241 | } No newline at end of file |
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@@ -1,1270 +1,226 b'' | |||
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1 | <?xml version="1.0" encoding="utf-8"?> | |
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2 | <notebook> | |
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3 | <name>rmt</name> | |
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4 | <nbformat>2</nbformat> | |
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5 | <worksheets> | |
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6 | <worksheet> | |
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7 | <cells> | |
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8 | <markdowncell> | |
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9 | <source># Eigenvalue distribution of Gaussian orthogonal random matrices</source> | |
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10 | </markdowncell> | |
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11 | <markdowncell> | |
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12 | <source>The eigenvalues of random matrices obey certain statistical laws. Here we construct random matrices | |
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13 | from the Gaussian Orthogonal Ensemble (GOE), find their eigenvalues and then investigate the nearest | |
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14 | neighbor eigenvalue distribution $\rho(s)$.</source> | |
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15 | </markdowncell> | |
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16 | <codecell> | |
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17 | <input>from rmtkernel import ensemble_diffs, normalize_diffs, GOE | |
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18 | import numpy as np | |
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19 | from IPython.parallel import Client</input> | |
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20 | <language>python</language> | |
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21 | <prompt_number>1</prompt_number> | |
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22 | <collapsed>0</collapsed> | |
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23 | <outputs /> | |
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24 | </codecell> | |
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25 | <markdowncell> | |
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26 | <source>## Wigner's nearest neighbor eigenvalue distribution</source> | |
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27 | </markdowncell> | |
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28 | <markdowncell> | |
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29 | <source>The Wigner distribution gives the theoretical result for the nearest neighbor eigenvalue distribution | |
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30 | for the GOE: | |
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31 | ||
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32 | $$\rho(s) = \frac{\pi s}{2} \exp(-\pi s^2/4)$$</source> | |
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33 | </markdowncell> | |
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34 | <codecell> | |
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35 | <input>def wigner_dist(s): | |
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36 | """Returns (s, rho(s)) for the Wigner GOE distribution.""" | |
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37 | return (np.pi*s/2.0) * np.exp(-np.pi*s**2/4.)</input> | |
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38 | <language>python</language> | |
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39 | <prompt_number>2</prompt_number> | |
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40 | <collapsed>1</collapsed> | |
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41 | <outputs /> | |
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42 | </codecell> | |
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43 | <codecell> | |
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44 | <input>def generate_wigner_data(): | |
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45 | s = np.linspace(0.0,4.0,400) | |
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46 | rhos = wigner_dist(s) | |
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47 | return s, rhos</input> | |
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48 | <language>python</language> | |
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49 | <prompt_number>3</prompt_number> | |
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50 | <collapsed>1</collapsed> | |
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51 | <outputs /> | |
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52 | </codecell> | |
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53 | <codecell> | |
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54 | <input>s, rhos = generate_wigner_data()</input> | |
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55 | <language>python</language> | |
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56 | <prompt_number>4</prompt_number> | |
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57 | <collapsed>0</collapsed> | |
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58 |
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59 | </codecell> | |
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60 | <codecell> | |
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61 | <input>plot(s, rhos) | |
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62 | xlabel('Normalized level spacing s') | |
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63 | ylabel('Probability $\rho(s)$')</input> | |
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64 | <language>python</language> | |
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65 | <prompt_number>17</prompt_number> | |
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66 | <collapsed>0</collapsed> | |
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67 | <outputs> | |
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68 | <output> | |
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69 | <output_type>pyout</output_type> | |
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70 | <text>&lt;matplotlib.text.Text at 0x3828790&gt;</text> | |
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71 | <prompt_number>17</prompt_number> | |
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72 |
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73 |
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74 | <output_type>display_data</output_type> | |
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398 | WGw0ZTk5eHpEeDkvL0RHMzMzNjdYYTR0SElQMFlRamh4T3k1NDF4c2JDenIxcTNEemMyTi8vdS8v | |
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399 | NU5pVVF2SkU0WVEKUWdpelNCK0dFRUlJczBqQkVFSUlZUllwR0VJSUljd2lCVU1JSVlSWnBHQUlJ | |
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400 | WVF3aXhRTUlZUVFadmwvQ0hyZjBuUWF1Ym9BQUFBQQpTVVZPUks1Q1lJST0K | |
|
401 | </png> | |
|
402 | </output> | |
|
403 | </outputs> | |
|
404 | </codecell> | |
|
405 | <markdowncell> | |
|
406 | <source>## Serial calculation of nearest neighbor eigenvalue distribution</source> | |
|
407 | </markdowncell> | |
|
408 | <markdowncell> | |
|
409 | <source>In this section we numerically construct and diagonalize a large number of GOE random matrices | |
|
410 | and compute the nerest neighbor eigenvalue distribution. This comptation is done on a single core.</source> | |
|
411 | </markdowncell> | |
|
412 | <codecell> | |
|
413 | <input>def serial_diffs(num, N): | |
|
414 | """Compute the nearest neighbor distribution for num NxX matrices.""" | |
|
415 | diffs = ensemble_diffs(num, N) | |
|
416 | normalized_diffs = normalize_diffs(diffs) | |
|
417 | return normalized_diffs</input> | |
|
418 | <language>python</language> | |
|
419 | <prompt_number>6</prompt_number> | |
|
420 | <collapsed>1</collapsed> | |
|
421 | <outputs /> | |
|
422 | </codecell> | |
|
423 | <codecell> | |
|
424 | <input>serial_nmats = 1000 | |
|
425 | serial_matsize = 50</input> | |
|
426 | <language>python</language> | |
|
427 | <prompt_number>7</prompt_number> | |
|
428 | <collapsed>1</collapsed> | |
|
429 | <outputs /> | |
|
430 | </codecell> | |
|
431 | <codecell> | |
|
432 | <input>%timeit -r1 -n1 serial_diffs(serial_nmats, serial_matsize)</input> | |
|
433 | <language>python</language> | |
|
434 | <prompt_number>8</prompt_number> | |
|
435 | <collapsed>0</collapsed> | |
|
436 | <outputs> | |
|
437 | <output> | |
|
438 | <output_type>stream</output_type> | |
|
439 | <text>1 loops, best of 1: 1.19 s per loop</text> | |
|
440 | </output> | |
|
441 | </outputs> | |
|
442 | </codecell> | |
|
443 | <codecell> | |
|
444 | <input>serial_diffs = serial_diffs(serial_nmats, serial_matsize)</input> | |
|
445 | <language>python</language> | |
|
446 | <prompt_number>9</prompt_number> | |
|
447 | <collapsed>0</collapsed> | |
|
448 | <outputs /> | |
|
449 | </codecell> | |
|
450 | <markdowncell> | |
|
451 | <source>The numerical computation agrees with the predictions of Wigner, but it would be nice to get more | |
|
452 | statistics. For that we will do a parallel computation.</source> | |
|
453 | </markdowncell> | |
|
454 | <codecell> | |
|
455 | <input>hist_data = hist(serial_diffs, bins=30, normed=True) | |
|
456 | plot(s, rhos) | |
|
457 | xlabel('Normalized level spacing s') | |
|
458 | ylabel('Probability $P(s)$')</input> | |
|
459 | <language>python</language> | |
|
460 | <prompt_number>10</prompt_number> | |
|
461 | <collapsed>0</collapsed> | |
|
462 | <outputs> | |
|
463 | <output> | |
|
464 | <output_type>pyout</output_type> | |
|
465 | <text>&lt;matplotlib.text.Text at 0x3475bd0&gt;</text> | |
|
466 | <prompt_number>10</prompt_number> | |
|
467 | </output> | |
|
468 | <output> | |
|
469 | <output_type>display_data</output_type> | |
|
470 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVl3QUFBRU1DQVlBQUFEWGlZR1NBQUFBQkhOQ1NWUUlD | |
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687 | OTJ3TmJ2SDc4YXZ0UitlSDNueTcvMy9KaWN2ClIrdFlRaFJoTlFVajhtSWtYS0xnVEJRaExGQU5t | |
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688 | eHE4NmZjbSt5ZnZKK3g4R0o0ZmViTHIvQzZ0WXdtaFp6WGZycEVYSStHaTFpbUUKcUxoSEdqL0N6 | |
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690 | VVR1RG01NFJYaQp4WUk5QzhqSXlTajd6VUpVRWFzb0dBbnBDY1NueHNNTnJaTUlVYm5xMk5WaHZ2 | |
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694 | TC8vNDZRYUc3a3p0ZgpEZnVLcU9lanVKSjZoWWVYUHN5a3paUFlkMm1mM0hkRFZCbUxuOTQ4K1U0 | |
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699 | a0lGdEIrSlEyOEdvZFFuclV0NDlESXN2R0Q2cmZYaS8zL3Y0Ck9mdEp3YkNLTFBLWlMydFRrVC9W | |
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701 | Si9KQWpRZWtZRmhGRnZuTUpiT2pZSEM4ZEliZTZqVXpONVB3dUhDMm50bksxdE5ieVZONURHdzdr | |
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702 | TzRQZGNmM1FWL2FPN2JIUm1meApSNnZGZlZUYmd0SDdzOTVFVG96VVB6ZWZQM0JMMm80NVpaSFBY | |
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703 | SkUyeHY0NUs2VTRsWGlLSGVkMkVIMGxtcGdyTVNUZVNlVFJGby9pCjg2QVBQZy82NFB1Z0w4M3JO | |
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705 | ZUgKUHViNUg1K250bDF0ZkI3MHdjM1JqYllPYldubjBJNTJqZHZoVk1kSkRtZFZJNXJzWVVSR1Jo | |
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706 | SVVGRVJ1Ymk0elpzeGcrdlRweGRxOAo5dHByckYrL25rYU5HckYyN1ZwY1hWMkx0ZEhwZE93NHU0 | |
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707 | UCtEL2ZYUHpmUGZ4R0dBLzRtMkU1RjIreW01SnltekdJdGV4amgvTGN2CnpYY1BJenc4SEg5Ly8v | |
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709 | U0RtMFoKa3RNY1dFcE9pOXJEbURsekppRWhJYlJ1M1pxQWdBREdqQm1EbzZPamZubE1UQXg3OXV6 | |
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710 | aDRNR0RiTisrbmVEZ1lFSkRRMHRjVjQrVwpQVXdWdXdMQ0tmMkwySnlFWXhrNUxVRTRsdENYaG56 | |
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711 | QjZYUTZIblo0bUljZEhpNjI3R2JHVGM0a0Z4U1BNMGxuQ0xzUXhxcURxemgzCjh4eTNNbS9SdUha | |
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712 | am10UnRRcE82VFdoYXIybkJ6M1h1K2Jsd1dkMm0xTGFyWGFHYzVzQlNjcGFYeVF0R1Nrb0tBSDM2 | |
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713 | RkZ5WlBXREEKQUtLam93a01ETlMzaVk2T1pzU0lFVGc0T0RCbXpCamVlT09OVXRkWHQyYmRxZzBz | |
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714 | aE1Xb1ljRGhJVHVnNkkyWjVzK2ZmOS9saHF6agpyK3JYYjhTZG0zZEl2SlBJbitsLzZoODMwbS93 | |
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715 | Wi9xZm5FaytvLy81ei9RL3VYSDdCanFkam5vMTYxSFhyaTUxYTliVi8xeXZaajB1Cm5MekFsUzFY | |
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716 | OU04TC8zLzJyRGxrcHQ2QjdMdVJjaW1ZVSs2ZVI5M2E5aHo3N1ZkcTJOUW85V0dyczVWRGF3WXdl | |
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717 | Y0dJalkwdGNuakoKM2QyZHFLaW9JZ1VqSmlhRzU1NTdUdi9jeWNtSmMrZk84ZkREeGYrRkk0UW9W | |
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718 | RGpGeVAzODlkRFd2THVQMHBZYnNvN2kwdEowMk5uYQowYngrYzRNR3pKVlNaT1Jta0o2ZFRucE9P | |
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720 | cEZIdXMwcEh2dnlNWEx5Y3NqTnp5M3hrYWZ5c05YWkZpa2lkcloycFJhWXdrTnRPZ3FLakU2blE0 | |
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725 | Z1FRT2c0RXlwdUxnNGR1N2MKaWErdmI1RTJ2cjYrYk5xMGlhU2tKTmF0VzRlYm0xdEpxeEpDQ0dG | |
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726 | Q21oeVNXcng0TVVGQlFlVGs1REJqeGd3Y0hSMEpDUWtCSUNnbwpDQjhmSDNyMTZzV2pqejZLZzRN | |
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727 | RGE5YXMwU0ttRUVLSWV5a3pGeEVSb1Z4ZFhWWGJ0bTNWMHFWTFMyd3paODRjMWFaTkc5VzVjMmQx | |
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728 | Cjh1UkpFeWNzVUZiTzNidDNLM3Q3ZStYbDVhVzh2THpVMjIrL2JmS01FeWRPVkUyYU5GRWVIaDZs | |
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801 | SmdnZz09Cg== | |
|
802 | </png> | |
|
803 | </output> | |
|
804 | </outputs> | |
|
805 | </codecell> | |
|
806 | <markdowncell> | |
|
807 | <source>## Parallel calculation of nearest neighbor eigenvalue distribution</source> | |
|
808 | </markdowncell> | |
|
809 | <markdowncell> | |
|
810 | <source>Here we perform a parallel computation, where each process constructs and diagonalizes a subset of | |
|
811 | the overall set of random matrices.</source> | |
|
812 | </markdowncell> | |
|
813 | <codecell> | |
|
814 | <input>def parallel_diffs(rc, num, N): | |
|
815 | nengines = len(rc.targets) | |
|
816 | num_per_engine = num/nengines | |
|
817 | print "Running with", num_per_engine, "per engine." | |
|
818 | ar = rc.apply_async(ensemble_diffs, num_per_engine, N) | |
|
819 | diffs = np.array(ar.get()).flatten() | |
|
820 | normalized_diffs = normalize_diffs(diffs) | |
|
821 | return normalized_diffs</input> | |
|
822 | <language>python</language> | |
|
823 | <prompt_number>11</prompt_number> | |
|
824 | <collapsed>1</collapsed> | |
|
825 | <outputs /> | |
|
826 | </codecell> | |
|
827 | <codecell> | |
|
828 | <input>client = Client() | |
|
829 | view = client[:] | |
|
830 | view.run('rmtkernel.py') | |
|
831 | view.block = False</input> | |
|
832 | <language>python</language> | |
|
833 | <prompt_number>12</prompt_number> | |
|
834 | <collapsed>1</collapsed> | |
|
835 | <outputs /> | |
|
836 | </codecell> | |
|
837 | <codecell> | |
|
838 | <input>parallel_nmats = 40*serial_nmats | |
|
839 | parallel_matsize = 50</input> | |
|
840 | <language>python</language> | |
|
841 | <prompt_number>13</prompt_number> | |
|
842 | <collapsed>1</collapsed> | |
|
843 | <outputs /> | |
|
844 | </codecell> | |
|
845 | <codecell> | |
|
846 | <input>%timeit -r1 -n1 parallel_diffs(view, parallel_nmats, parallel_matsize)</input> | |
|
847 | <language>python</language> | |
|
848 | <prompt_number>14</prompt_number> | |
|
849 | <collapsed>0</collapsed> | |
|
850 | <outputs> | |
|
851 | <output> | |
|
852 | <output_type>stream</output_type> | |
|
853 | <text>Running with 10000 per engine. | |
|
854 | 1 loops, best of 1: 14 s per loop</text> | |
|
855 | </output> | |
|
856 | <output> | |
|
857 | <output_type>stream</output_type> | |
|
858 | <text /> | |
|
859 | </output> | |
|
860 | </outputs> | |
|
861 | </codecell> | |
|
862 | <codecell> | |
|
863 | <input>pdiffs = parallel_diffs(view, parallel_nmats, parallel_matsize)</input> | |
|
864 | <language>python</language> | |
|
865 | <prompt_number>15</prompt_number> | |
|
866 | <collapsed>0</collapsed> | |
|
867 | <outputs> | |
|
868 | <output> | |
|
869 | <output_type>stream</output_type> | |
|
870 | <text>Running with 10000 per engine.</text> | |
|
871 | </output> | |
|
872 | </outputs> | |
|
873 | </codecell> | |
|
874 | <markdowncell> | |
|
875 | <source>Again, the agreement with the Wigner distribution is excellent, but now we have better | |
|
876 | statistics.</source> | |
|
877 | </markdowncell> | |
|
878 | <codecell> | |
|
879 | <input>hist_data = hist(pdiffs, bins=30, normed=True) | |
|
880 | plot(s, rhos) | |
|
881 | xlabel('Normalized level spacing s') | |
|
882 | ylabel('Probability $P(s)$')</input> | |
|
883 | <language>python</language> | |
|
884 | <prompt_number>16</prompt_number> | |
|
885 | <collapsed>0</collapsed> | |
|
886 | <outputs> | |
|
887 | <output> | |
|
888 | <output_type>pyout</output_type> | |
|
889 | <text>&lt;matplotlib.text.Text at 0x376c950&gt;</text> | |
|
890 | <prompt_number>16</prompt_number> | |
|
891 | </output> | |
|
892 | <output> | |
|
893 | <output_type>display_data</output_type> | |
|
894 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVl3QUFBRU1DQVlBQUFEWGlZR1NBQUFBQkhOQ1NWUUlD | |
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920 | QndNTVBQMHpEaGcwSkN3dWpiZHUySER0MnpOWlJhd0ZYdWNCUENHRTFOaThZSGg0ZVFIRlJTRTFO | |
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921 | CkpUNCtuckN3TUpNMi9mdjNaKzNhdFJRVkZYSHk1RWt1WDc1c2NoaExtS3VBNHNueGloOVpXVmRV | |
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922 | U3lpRWNCeXFISkthUDM4K01URXgKNU9mbkV4c2JpNmVuSjNGeGNRREV4TVR3MEVNUGNlalFJWHIw | |
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923 | NkVITGxpMVpzR0NCR2pHRkVFTGNSSllHc1JOTm1qUzM4Qzk5ODA2cgpsZE52aFJDM3F1cG5weFFN | |
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924 | TzJIK3RSVmdTU0dRZ2lHRXVKWERYSWNoaEJEQ01VbkJFRUlJWVJhN3ZBNURtRXVCSm1lZzBaK1E0 | |
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925 | d0U1CnpTQzdHY1dIb29RUXdycWtZRGlhQnVrUUFIVHREVjYvUWE0N1hHOE45VEtoNFNXNDVnVkho | |
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926 | OEhSb1hBYUtES25VMWV6bGw1eGQyOUcKWnVibGFuNERRZ2hISlpQZWRxTFNTVyszNjNEUExBaitF | |
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927 | SDdQZ045K2dOTzlJTmZqcGtZS3ROa0RuZGRBNTlWUWJ5OXMvQm9PRGFmaQp2UTZaSEJmQ21jaFpV | |
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928 | ZzZ1d29KeDU4OHc1Q2s0SFE0YjVoWHZVWmp6QWQ5QkE1R0JrTmNZTnJ3RFowTExHOTI4L3FSZ0NG | |
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929 | RXJTTUZ3CmNHVVdERTBoREk2RlR1dGgzUkk0UHJqa2pkSnR5KzRWTkFVUStDbjBmd2tTbjRWZm42 | |
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930 | ZjAzb1lVRENHY2lSUU1CMWVxWUxqa3d3T1AKUXNPTDhPWDNrT2QrYzJzc3ZnNmp5V2tZTlJ5dWRJ | |
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931 | RFZ5eUMvVVpYNnF5M2JXd2huSnRkaDFDYXVPY1VmN203WFljWDZXNHBGRldYZQpEaDhaSUw4aC9E | |
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932 | MGNQUDZvZnA5Q0NLY2lCY1BlMU1tRjBjTWd2d0Y4OVMwVTFMZGUzd1gxaS9jdWZoc0w0L3BCNDNQ | |
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933 | VzYxc0lVZXZKCmFiWDJKdXJaNHIyQVZTdEFxVk1EQTJoZys0emlRMTVqQjhESGVyaFJBOE1JSVdv | |
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934 | ZEtSajJKT2dqNkxBSmxpYlhVTEc0eWJZWG9lNDEKZURRU1BnRnlhblk0SVlUamswTlM5cUlOTVBC | |
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935 | NStPbzd5RzFpbXpFMy9STk85WUdIS1M0ZVFnaFJBU2tZZGlEOVJqbzhDS3hmQWhmOQpiVGl5cHZp | |
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936 | NmpvdkE4REdnTWV1eWNDR0VrMUtsWUJnTUJ2ejgvUER4OFdIaHdvV2wzdi9QZi82RFZxdEZxOVhT | |
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937 | dFd0WFhGMWR1WHIxCnFncEpiU1AycDFnNEFod2FZZnZCRlJkWVQvR1NJM2UvYWZ2eGhSQU9RNVhy | |
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938 | TUxSYUxRc1dMTURiMjV2SXlFaTJiZHVHcDZkbm1XM1gKclZ2SC9QbnoyYmh4WTZuM2FzTjFHQnVP | |
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939 | YitEcDlVK1Q4bHdLNUt0M1B3emMwK0RKSHZEZFozQnlRTG50SEgxN0N5RWM2RHFNakl3TQpBQ0lp | |
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940 | SXZEMjltYlFvRUVrSlNXVjIzN0ZpaFdNSGozYVZ2RnM2a2IrRFNiK01KRkY5eTZDZkpYRFpOMEcz | |
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941 | eTZIK3g4dHZzaFBDQ0Z1CllmT0NrWnljaksrdnIvRzV2NzgvaVltSlpiYTljZU1HR3pac1lQanc0 | |
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942 | YmFLWjFPdkdWNGpwRzBJZzMwR1Y5N1lGbEw2UWRJVWVIQWsKMU1sVE80MFF3czdZOVdtMWE5ZXU1 | |
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943 | ZTY3NzZacDA2Ymx0cGs5ZTdieGE1MU9oMDZucS9sZ1ZyRC93bjcrdS91LzdIdDZuOXBSVEcxNwpB | |
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944 | ZG9sd3NEbjRLY0ZhcWNSUWxpQlhxOUhyOWRYdXgrYnoyRmtaR1NnMCtuWXMyY1BBSk1uVHlZcUtv | |
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945 | cm82T2hTYmUrLy8zNUdqUnJGClF3ODlWR1pmampxSG9TZ0t1azkwakFrWVEweVBHRUQ5ZTNxYnRL | |
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946 | dC9CU1oyaFc4L2gxU2RTVHRIM041Q0NGTU9NNGZoNFZGOC93YUQKd1VCcWFpcng4ZkdFaFlXVmFw | |
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947 | ZVJrWUhCWU9DKysrNnpkY1FhRjM4eW5ndlhMdkQzNEwrckhhVnNPYzFnL1dJWTl2Zmk5YXlNaW0r | |
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948 | MApaTTZqU1pQbXFzVVhRdFFNVlU2cm5UOS9QakV4TVF3WU1JQ0pFeWZpNmVsSlhGd2NjWEZ4eGpi | |
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949 | ZmYvODlrWkdSTkdqUVFJMklOVVpSCkZGN1ovQXF6ZGJPcDQxTERWM05YeDlGaGtCWUcvVjY1NmNV | |
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950 | Q2l2ZEVLbjlrWlYyeGNXQWhSRTJUNWMxdGJQMng5Y3o4WlNhL1BmVWIKTHByLzFXdTdPaVJWb3VF | |
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951 | bGVMb3JyRnhWZkhjL3Mvc3I3dFBSZmpaQ09BdUhPU1RsekJSRjRSLzZmekJITjhla1dOaXRHNTd3 | |
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952 | NDBLNAo3N0hpSmRlRkVFN05BVDYxYW8vdmozeVBvaWpjNzN1LzJsSE1kMmdFL0JrQWZlZW9uVVFJ | |
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953 | b1RJcEdEWlNwQlR4RC8wL2VQV2VWLzg2Ci9PUkExaThDN1RKb3EzWVFJWVNhcEdEWXlOY0h2NmFS | |
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954 | V3lPaWZVcWZQbXozcnJlR24rZkNNSXJ2TXk2RWNFb3k2VjNEbWpScFR0YTEKS3pBUitBazRVVkZy | |
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955 | TzV2ME5xSEFCQmZZRndlN25qU3JUM3YvMlFqaHJHVFMyMDVsWlYyQk8zK0VnaUE0VVVUNXA2TGFP | |
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956 | dzM4Q056egpENmhmZTFjT0ZrS1VUd3FHTFlRdWhCMlRLZjVMM29HZEI0NE9oWWpYMUU0aWhGQ0JG | |
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957 | SXlhMWh5NExSbjIxNUlWZHpmOUU0SStnUmJICjFFNGloTEF4S1JnMUxRVFk4eGdVMUpJcjFxKzNM | |
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958 | bDZnY05CMHRaTUlJV3hNQ2tZTnVwWjNEUUtCNUtmVmptSmRTYkhnZVFUdTNLQjIKRWlHRURVbkJx | |
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959 | RUdmNy9zY1RnRVozbXBIc2E3Q2VzV24yVVpOQlJlMTcvd2toTEFWS1JnMVJGRVUzdHZ4SHBSL00w | |
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960 | SEhkblFvWkxhRApIdStyblVRSVlTTlNNR3JJNXRUTnhWK2txaHFqQm1uZ3AzblE5elZva0s1MkdD | |
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961 | R0VEVWpCcUNFTGR5eGtVdWdrdFdQVXJJdGQ0T0NECm9KTjFwb1J3QmxJd2FrQmFaaHFHVXdZZTZm | |
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962 | YUkybEZxbm40V2RGME9IcWZVVGlLRXFHRlNNR3JBOG4zTEdlRS9nc1oxRzZzZHBlYmQKYUFuSkU2 | |
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963 | SHZxMm9uRVVMVU1GVUtoc0Znd00vUER4OGZIeFl1WEZobW0rVGtaRUpDUXZEejgwT24wOWsyWURV | |
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964 | b2lzSm4rejdqa2E1TwpzSGRSSW1FNmRGNGpGL01KVWN1cHN2aWdWcXRsd1lJRmVIdDdFeGtaeWJa | |
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965 | dDIvRDA5RFMrcnlnSzNicDFZOTY4ZVF3WU1JQkxseTZaCnZGL0NIaGNmL08zOGI5ejM1WDJjbkhJ | |
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966 | U0Y0MkxCWGZTczhNNzdsblNyczhiMEdvL3JQckMyTmJlZmpaQ2lHSU9zL2hnUmtZR0FCRVIKRVho | |
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967 | N2V6Tm8wQ0NTa2t6UFBkMjVjeWZkdW5WandJQUJBR1VXQzN2MTJiN1BlS1RiSTQ1eFJ6MXJTb3FG | |
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968 | RHB1aDlUNjFrd2doYW9qTgpQOVdTazVQeDlmVTFQdmYzOXljeE1kR2t6WVlORzlCb05QVHAwNGVo | |
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969 | UTRleVlZTmpYRkZjV0ZUSWl2MHJlTGpydzJwSHNiMjh4ckJ0Ckp0enppdHBKaEJBMXhGWHRBR1hK | |
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970 | eWNsaDc5NjliTnk0a1JzM2JqQnc0RUFPSERoQWd3YWwxMk9hUFh1MjhXdWRUcWZxZk1lbWxFMjAK | |
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971 | ZFcrTFgwcy8xVEtvYXVkVEVENFhia3VDTTJxSEVVS1UwT3YxNlBYNmF2ZGo4NElSRWhMQ2M4ODla | |
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972 | M3grOE9CQm9xS2lUTnFFaDRlVAptNXVMbDVjWEFEMTY5TUJnTUJBWkdWbXF2NXNMaHRvKzMvKzVj | |
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973 | NXhLVzU2QyttQjRCZnE5REorcEhVWUlVZUxXUDZibnpLbmF0Vk1XClRYb1hGUldSa0pCQWFtb3FG | |
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974 | eTllcEduVHBuVHAwb1h1M2J2ajRtTCswYTJTU2U4NzdyaURxS2lvVXBQZTZlbnBEQjQ4R0wxZVQw | |
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975 | NU8KRGoxNzltVDM3dDAwYm14Nm1xbzlUWHBmejd0T3UzbnRPUExNRVZvM2JtMTgzV2ttdlV1NDVN | |
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976 | TWtYMWh6Q2xJcnY1MnJ1M3N6TWpNdgptekcyRU1KYXF2clphZFllUmw1ZUh2UG16YU93c0pDbVRa | |
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977 | dlNzV05IdW5UcFFscGFHdHUzYjJmVnFsVzBhdFdLS1ZPbVVLZE9uVXI3Cm16OS9QakV4TWVUbjV4 | |
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978 | TWJHNHVucHlkeGNYRUF4TVRFMEtKRkN5Wk1tRUNQSGoxbzJiSWxyNzc2YXFsaVlXOVdIMTFOejNZ | |
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979 | OVRZcUYKVXlweUEvMXM2RGNXbGhWUjJVMmpzckljL0taU1FqaVJTdmN3Y25OeldiRmlCVU9HREtG | |
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980 | bHk1Ymx0anQ1OGlTLy9QSUxUenp4aE5WRApsc2VlOWpEdVhYNHZEM2Q5bUllN21VNTRPOTBlQm9D | |
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981 | bUVKNTJoZmoxOFB1OWxmWnBMejlESVp4RlZUODdWYmtPdzFyc3BXQmN1SGFCCnp1OTE1c3kwTXpT | |
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982 | cTI4amtQYWNzR0FCK0dvalFRdHd1S3Q3THNJK2ZvUkRPeEdiWFlSdzVjb1FmZnZpQnk1Y3ZjL2p3 | |
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983 | WVlzSHJJMisKUFBBbHd6b1BLMVVzbk5waFFOR0EzN2RxSnhGQ1dFbVZDb2FYbHhjOWUvWmsvZnIx | |
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984 | ZlBhWm5BN2o5R2RIbFdmVFA2SGZLOFdIcUlRUQpEcy9pZ25IMjdGazJiOTZNVnF0bHhvd1p0Rzd0 | |
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985 | M0pPOHY2Zi9UbHBtR3YwNjlGTTdpdjA1SGdYWnpTRGdLN1dUQ0NHc3dPS0NNVzdjCk9IeDlmVm15 | |
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986 | WkFuUFBQTU1lL2Z1cllsY0R1UDdJOTl6WCtmN2NIV3h5MnNnVmFZcHZpNmp6eHVnS1ZJN2pCQ2lt | |
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987 | cW8xNlgzbHloV2EKTm0zNjE4U3U3ZG5EcEhmdlpiMTV1Yy9MRFBZWlhPYjdUanZwYld5cndCT2hz | |
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988 | TzFGT1B4QW1lM1UvaGtLNFd4cWJOSTdOemVYbzBlUApsdmxlczJiTlRJckYxcTFiTFE3Z3lDNWN1 | |
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989 | OENCUHcvSTRhZ0thY0R3TWtUOEUvT0xqUkRDSGxWYU1PclZxMGQ2ZWpydnZmZGVtV2RGClpXWm1z | |
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990 | blhyVm1KalkybldyRm1OaExSWDY0NnRZOUNkZzZqbldrL3RLUGJ0MkZCd0tRQ2ZIOVZPSW9Tb0Jy | |
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991 | TU92Qjg1Y29SWFhubUYKYWRPbVViZHVYUjU1NUJGeWNuTEl6TXpFeTh1THlNaElGaXhZb05xaEti | |
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992 | V3NQcnFhQjdzOHFIWU0rNmU0Z09IL0lPSTErSDB3bFYzOQpMWVN3VDJZVmpMMTc5M0xod2dXeXNy | |
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993 | SjQ5OTEzR1RCZ0FIMzY5S25wYkhidGV0NTE5S2w2UHZuYkoycEhjUXlIUnNBOXM2RERKa2pwCnIz | |
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994 | WWFJVVFWbUhXV1ZMZHUzYWhidHk0dFdyUmcxcXhaN05tenA2WnoyYjM0ay9HRTNCWkNzd2JPZFJp | |
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995 | dXlwUTZzUFdsditZeWhCQ08KeUt5Q2taQ1F3SkVqUjRyL2dZc0wzdDdlTlJyS0Vhdyt1cHI3T3Qr | |
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996 | bmRnekhzbjgwTkQwRmQyeFRPNGtRb2dyTU9xMVdwOVBSdUhGagpEaDQ4U051MmJXbmF0Q2xqeG95 | |
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997 | aFY2OWU3Tnk1azVFalI5b2lheWxxblZaYldGU0kxMXd2ZGo2eEUrK21GUmRQT2EzMkZzRkx3WDhW | |
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998 | CmZQNlRzWjJjVml1RWJkWG80b01IRHg2a1M1Y3VRUEdxdEVsSlNTUW5KNU9VbE1UKy9mdkp6TXkw | |
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999 | UExFVnFGVXd0cDdheXVRZko3UDMKcWNvdldwU0NjWXM2dVJEckExK3Rnck1oU01FUXd2WlVXNjEy | |
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1000 | M3J4NVRKMDZ0VHBkVkpsYUJXUEd6ek5ZT0hjUmVUL25tUGt2cEdDWQpDSDBQT3NiRGw2dVJnaUdF | |
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1001 | N2FsV01Bb0xDODI2YVZKTlVLTmdLSXBDcC9jNmNmeGZ4K0djSFg0WTIwVzdTdHE2WnNPVWpzV0hw | |
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1002 | UzRFClNjRVF3c1pzdHJ6NXJhcFNMQXdHQTM1K2Z2ajQrTEJ3NGNKUzcrdjFlanc4UE5CcXRXaTFX | |
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1003 | djc1VC9zNXMrYndwY1BrRnVUQ09iV1QKT0xDQ0JwQXd2WGlOS1NHRXcxQmx4YndwVTZZUUZ4ZUh0 | |
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1004 | N2Mza1pHUmpCNDkydVNlM2dCOSsvWmx6Wm8xYXNTcjBPb2pxeG5XZVJpTApXS1IyRk1lMjh5bVk4 | |
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1005 | alo0VnQ1VUNHRWZMTnJET0hQbVRMVUh6TWpJQUNBaUlnSnZiMjhHRFJwRVVsSlNxWGIyZXBoQ1Rx | |
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1006 | ZTFrcnpHCmtEZ0ZuUHY2VHlFY2lrVUZZK0RBZ1F3ZVBKaVZLMWVTbjU5ZnBRR1RrNVB4OWZVMVB2 | |
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1007 | ZjM5eWN4TWRHa2pVYWpZZnYyN1FRRkJURnQKMmpST25EaFJwYkdzN1Z6V09ZNm1INlZ2Kzc1cVI2 | |
|
1008 | a2Rka3dDSHpoeDJUNSt2a0tJaWxsMFNPclFvVU5zMzc2ZFpjdVc4Znp6enpOMAo2RkFtVEpoQWNI | |
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1009 | Q3dWVU1GQndkeit2UnAzTnpjK09TVFQ1Z3laUXJyMXEwcnMrM3MyYk9OWCt0ME9uUTZuVld6M0d6 | |
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1010 | dHNiVkUzUlZGCjNUcDFhMndNcDVMckFjbnc1cTl2c25Ub1VyWFRDRkZyNmZWNjlIcDk5VHRTcXVq | |
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1011 | SEgzOVUyclJwbzdScTFVcnAxYXVYa3BDUVlOYS8KdTNyMXFoSVVGR1I4UG1uU0pHWGR1blhsdGk4 | |
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1012 | cUtsSmF0V3FsNU9Ua2xIcXZHdkdyNU43bDl5cGY3UC9DT0RZb1pqeXMzVTdOc1dzZwpZNE02Q2kr | |
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1013 | ZzRGRnk4NHl5SCs3dXpXejZzeGFpTnF2cVo2ZEZoNlRTMHRKNC9mWFhDUWdJWU5teVpYejg4Y2Vj | |
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1014 | TzNlT3hZc1g4OWhqCmo1blZoNGVIQjFCOHBsUnFhaXJ4OGZHRWhZV1p0TGx3NFlKeERtUHQyclYw | |
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1015 | NjlhTmV2WFVYVUw4ZXQ1MXRwN2F5dUM3eXI1UmtxaWkKN0VMWS9SejBta1FGOVlLc3JDc3FoaFJD | |
|
1016 | Z0lXSHBBWVBIc3lFQ1JQUTYvVW1aelVGQmdieTFGTlBtZDNQL1BuemlZbUpJVDgvbjlqWQpXRHc5 | |
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1017 | UFltTGl3TWdKaWFHYjc3NWhpVkxsdURxNmtxM2J0MllPM2V1SlRGcmhPR1VBVzBiTFI3MVBkU09V | |
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1018 | dnRzbnc2VC9Jb1hKN3pXClJ1MDBRb2h5V0hUaDNvNGRPd2dORGEzME5WdXg1WVY3MHpaTW8xbjla | |
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1019 | cnpTOXhYajJIWjVVWnhkdEt0Q24xRlRvTWdOZnY1UHVlMXMKOWJNV29yYXp5WVY3WmUxRnhNVEVX | |
|
1020 | RHlvSTlwNGNpTUQ3eHlvZG96YWEvdHpvRjBHRFMrcG5VUUlVUTZ6RGtrbEp5ZXpZOGNPTGw2OAp5 | |
|
1021 | T0xGaTQyVjZlTEZpMDV4VzliejE4NXpPdk0wUGRyMlVEdEs3WlhaRGc0K0NEM253YWJYMVU0amhD | |
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1022 | aURXWHNZR1JrWm5ENTltdno4CmZFNmZQazFhV2hwcGFXbDRlWG54MFVjZjFYUkcxVzA4dVpGNzJ0 | |
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1023 | K0RxNHNxRjhZN2oyMHZRSS8zb2I1TWNBdGhqeXlhd3poMjdCaWQKT25XcXlUd1dzZFVjeHJqdng5 | |
|
1024 | SHp0cDQ4SGZLMHlkZ09NejlnODNiVjZQTnY0K0h5bldCNHBWUTdtY01Rd2pwcWRMWGE2T2hvMXE5 | |
|
1025 | ZgpUL3YyN2YvNm9EUWQrT1RKa3hZUGJBMjJLQmlLb25EYk83ZGhtR0RncnVaM21ZenRjQi9HTm10 | |
|
1026 | WGpUNWJISVBIZXNPQ2s1RG5idEpPCkNvWVExbEhWejA2empyRXNYNzRjZ0owN2QxbzhnS003ZFBF | |
|
1027 | UTlWenJjV2V6TzlXTzRoelNPOEhKQVJDeUJINTlYdTAwUW9pYm1GVXcKbWpadENsQnFSVmxuRUg4 | |
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1028 | eW5vRWRCNWJhc3hJMWFPdExNSFpnOFZwVCtRM1ZUaU9FK0l0WkJlUENoUXRsZm1BcWlvSkdvNkZW | |
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1029 | cTFaVwpEMll2NGsvR016NXd2Tm94bk11ZlhlRjBMK2orQVNRK3EzWWFJY1JmekpyRDhQSHhLVzU4 | |
|
1030 | UzlFb0tSakhqaDJybVhTVnFPazVqTHpDClBEemY5aVJsU2dvdEdyWW9OYmJEelEvWXJKMFYrdlRh | |
|
1031 | QXc5SHc0SVR4VGRja2prTUlheW1SaS9jNjlTcEU3Ly8vanQ1ZVhuazUrZVQKbDVkbi9McXF5NXc3 | |
|
1032 | Z29UVENYVDI3RnlxV0FnYk9LK0ZNNkhRWFZheEZjSmVtTFdIa1pHUmdZZUhCNWN1bGI0S1Y2UFIw | |
|
1033 | S0tGT2grbwpOYjJIOGZLbWx5bFNpbmlqZitsYmljb2VoZzM2YkxNYlJnK0ZkNDlEUVVQWnd4RENT | |
|
1034 | bXIwTEttU0ZXYWRiZEk3L21ROGIvWi9VKzBZCnp1dGNNSnp0VWJ5WFVmcW1qRUlJRzdQNDB1Vkxs | |
|
1035 | eTZ4WWNNR05Cb05rWkdScXUxZDFMUXIyVmM0ZlBFd3ZXN3ZwWFlVNTdabFZ2RmUKeGk2MWd3Z2hM | |
|
1036 | RnA4Y1BueTVZU0hoNU9Ra01EMjdkc0pEdzgzWHFOUjIyeEsyVVR2TzNwVHoxWGQrM0E0dlpLOURP | |
|
1037 | dmUxRkVJVVFVVwo3V0g4KzkvL1p1dldyWGg1ZVFIRnA5dEdSa2J5OE1NUDEwZzROVzFNMmNqQWpy | |
|
1038 | STZyVjNZOGc4WXZZYWNnaHpxdTlaWE80MFFUc3VpClBZem16WnVUbloxdGZKNmRuVTN6NXMydEhz | |
|
1039 | b2V4SitJWjBESEFXckhFQURudXNNNVdMcEx6cGdTUWsxbUZZekpreWN6ZWZKa1dyWnMKU2ZmdTNi | |
|
1040 | bnZ2dnNZTm13WXdjSEJ0R3paMHVKQkRRWURmbjUrK1BqNHNIRGh3bkxiSlNjbjQrcnF5cmZmZm12 | |
|
1041 | eEdOV1JjaVdGYTNuWAo2TnFxcTAzSEZSWFF3MXUvdmtWT1FZN2FTWVJ3V21ZZGt1cmV2YnZ4b3Iz | |
|
1042 | QmcvOTNUK3NISG5pZ1NrdG1USmt5aGJpNE9MeTl2WW1NCmpHVDA2TkdsenNBcUxDemtoUmRlSUNv | |
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1043 | cXl1YW5VOGFmTE42N2tPVkE3TWc1MExiUjh1SHVENWtVT2tudE5FSTRKYk1LeHZqeDQ2MDIKWUVa | |
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1044 | R0JnQVJFUkVBREJvMGlLU2tKS0tqbzAzYUxWeTRrQkVqUnBDY25HeTFzYzBWZnpLZUlUNURiRDZ1 | |
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1045 | cU5pc3ZyUDQyNWQvNCsvQgpmNWU1RENGVVlORWNSbloyTnF0WHIyYml4SW1NSGoyYU1XUEdNR2JN | |
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1046 | R0lzR1RFNU94dGZYMS9qYzM5K2Z4TVJFa3pabnpweGg5ZXJWClBQMTA4ZjBuYlBtWGZtRlJJWnRT | |
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1047 | TnNuOGhSM3EwYllIMmpaYS9ydjd2MnBIRWNJcFdYU1cxTXN2djR4R28ySERoZzA4Ly96ekxGKysK | |
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1048 | bkx2dnZ0dnFvWjU5OWxuZWZQTk40OVdJRlIyU21qMTd0dkZyblU2SFRxZXIxdGk3eiszR3E3RVh0 | |
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1049 | elc1clZyOWlKcFJzcGZ4ZVBEagpzcGNoaEpuMGVqMTZ2YjdhL1ZoMHg3M2c0R0IyNzk1Tmx5NWRP | |
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1050 | SGp3SUJrWkdRd1lNTUNpdzBZWkdSbm9kRHIyN05rREZFK29SMFZGCm1SeVM2dGl4bzdGSVhMcDBp | |
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1051 | WVlORzdKMDZWS0dEUnRtR3I0R2xnWjVZK3NiL0huOVQrWkh6YSt3blN3Tll2dXhTMzdXUTFZTVlm | |
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1052 | QmQKZzNrbTlCa3pzd2doYmxhaml3K1djSE56QTZCSGp4NnNXN2VPQ3hjdWtKTmoyVmtySmN1TUdB | |
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1053 | d0dVbE5UaVkrUEp5d3N6S1ROeVpNbgpTVWxKSVNVbGhSRWpSckJreVpKU3hhS21iRHk1VVE1SDJT | |
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1054 | VlhOQm9OR28yRzljK3RaOUtYazlDNGFveXZsVHlhTkttZHAza0xZUThzCk9pVDF6RFBQY09YS0Zh | |
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1055 | Wk9uY3JNbVRNNWMrWU1yNzc2cXNXRHpwOC9uNWlZR1BMejg0bU5qY1hUMDVPNHVEZ0FZbUppTE83 | |
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1056 | UFd2SUsKODloeFpnZDk3dWlqV2daUm5nS01leUpuZ1F2UkVCd055Uk5OV21WbHlabHRRdFFVaXc1 | |
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1057 | SndmL1drZ0tJakl4VWRVRkNheCtTU2ppZAp3RE0vUE1QdW1OMW1qVjJiRHZjNFhNYmJkc0NEdzR0 | |
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1058 | WHNpMnNaOUpPVnJVVm9tSTJPU1IxODFwU2lZbUo5T3JWcTFhdEpXVTRaYUNQCnQreGRPSVF6b1hD | |
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1059 | aEcyaVhxWjFFQ0tkaDBSNUdVRkFRUC8zMFU2bTFwUGJ1M1Z0akFTdGk3VDJNNkJYUlBCYjBHTVA5 | |
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1060 | aDVzMWRxMzkKNjczYTdXdzBkcGw3R2JLSElVUmxiTEtIVVp2WGtpb3NLdVRYUDM3bDdqdXNmNXF3 | |
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1061 | cUNGblFvdnYveTE3R1VMWWhGbVQzcE1uVHdZdwpyaVZWY3UzRnRtM2JHRGl3ZHF6b3V2L1AvWGcx | |
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1062 | OXFKMTQ5WnFSeEdXME0rQ0IwZkNuc2R1bWNzUVFsaGJsZGFTS3ZtNnFtdEoyYU90CnA3WVM0UjFC | |
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1063 | a3liTnljcTZvblljWWE0ellmQm5GOUIrQkR1ZlVqdU5FTFdheFdkSkFlemF0UXVOUmtOd3NMcDN0 | |
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1064 | YkhtSE1iSXIwY3kKck5Nd3hnYU5SZVlIcXR2T3htTzNTNFNSRDhLN3YwTmhmWm5ERUtJU05wbkRN | |
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1065 | QmdNZE9yVWlaZGVlb2tYWDN5UlRwMDZzWFhyVm9zSAp0VGVLb21BNFpTRENPMEx0S0tJcTBuckNu | |
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1066 | d0hRSTA3dEpFTFVhaFpkdVBmMjIyK3paczBhNCtLQlI0OGVaZnIwNmZUcDQ5aW5vdjUrCitYZnF1 | |
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1067 | OWJIdTZtMzJsRkVWVzE4RXg0ZENPcWNzQ2VFVTdCb0QrUHk1Y3UwYmR2VytMeE5telpjdm56WjZx | |
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1068 | RnN6WERLSUZkM083b0wKM2VCNEZQUldPNGdRdFpkRmV4aVBQdm9vMGRIUmpCdzVFa1ZSK1BiYmJ4 | |
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1069 | azdkbXhOWmJNWk9SeFZTMngrRFdJKzVXeldXZHE2dDYyOAp2UkRDSW1aUGVpdUt3cmx6NXpoLy9q | |
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1070 | enIxcTFEbzlFd1pNZ1F0RnB0VFdjc2w3VW12VHNzNk1BUFkzN0FyNldmaWhmazJlbUVjcFhhCnFU | |
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1071 | ajJRQTFQVEg2Q0Q0WitZRWFmUWppbnFuNTJXbFF3dW5idHlvRURCeXdlcEtaWW8yQ2N6amhOOEFm | |
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1072 | Qi9EbmpUK09LcC9KaFhOMTIKS281ZFgwUExWMXV5WmZ3Vy9GcjZtZEd2RU02bnhzK1MwbWcwaElX | |
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1073 | RnNYNzllb3NIc1dkYi95aSsvcUsyWEUvaTlITGcrZDdQOCtJdgpMNnFkUkloYXg2Sko3NlNrSklZ | |
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1074 | T0hZcVhseGRhclJhdFZxdjZ0UmpWSlJQZXRjK2swRW5zT2IrSFgvLzRWZTBvUXRRcUZrMTZyMTY5 | |
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1075 | CnV0WmRGR1U0WmVESjdrK3FIVU5ZVVgzWCtyeDJ6MnM4Ri84Y3Z6NzJxK3c5Q21FbFp1MWg1T2Zu | |
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1076 | czI3ZE9wWXVYY3JwMDZmcDJMRWoKZDkxMWwvSGhxQzVldjhpWnJETUV0ZzVVTzRxd3NvZTdQc3ox | |
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1077 | L090OGYrUjd0YU1JVVd1WVZUQmVldWtsbGl4WlFzdVdMWG4xMVZlWgpQNy9pKzExWHhtQXc0T2Zu | |
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1078 | aDQrUER3c1hMaXoxL3VyVnF3a01EQ1FvS0lqbzZHaUw3aGx1aVcxL2JLUFg3YjJvNDFLblJ2b1g2 | |
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1079 | cW5qClVvZTNCcnpGaTcrOFNFRlJnZHB4aEtnZEZETUVCd2NyZVhsNWlxSW95cFVyVjVTSWlBaHov | |
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1080 | bG01Z29LQ2xDMWJ0aWlwcWFsSzU4NmQKbFlzWEw1cThmKzNhTmVQWGVyMWU2ZE9uVDVuOW1CbS9Y | |
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1081 | TS8rOUt6eWh1R05VbjJDWXNaRHJYYVNzYkoySllxS2lwUituL1JUM2s5Kwp2MXIvUHhHaXRxbnFa | |
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1082 | NmRaZXhoRlJVVzR1YmtCMExScFV6SXpNNnRjb0RJeU1nQ0lpSWpBMjl1YlFZTUdrWlNVWk5LbVVh | |
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1083 | TkdKdTNyCjE2OWY1ZkVxc3ZYVVZybkRYaTJtMFdoNGU4RGJ6Tmt5aCt0NTE5V09JNFRETTJ2U2U5 | |
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1084 | KytmYmk3dXh1ZloyZG5HNTlyTkJxTENraHkKY3JKeExTb0FmMzkvRWhNVGlZNk9ObW4zM1hmZk1Y | |
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1085 | WHFWSzVkdThhdVhidks3Vy8yN05uR3IzVTZIVHFkenF3Y21ibVpITGwwaEpDMgpJV1puRjQ3QXRm | |
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1086 | UWs5M0JvdktZeEdFeGZkbmR2Um1hbTR5OXRJMFJsOUhvOWVyMisydjJZVlRBS0N3dXJQWkNsN3Iv | |
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1087 | L2Z1Ni8vMzYrCit1b3IvdmEzdjdGbno1NHkyOTFjTUN5eC9mUjJ1cmZ0VGoxWHVlbE83VkpBcVF2 | |
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1088 | OE5wMkVKMEpoMXlHNDNzcjRjbGFXbkQwbG5NT3QKZjB6UG1UT25TdjFZZEIyR05ZU0VoSERreUJI | |
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1089 | ajg0TUhEOUt6Wjg5eTI0OGFOWXF6WjgrYTNCcldHa291MkJOTzRFcEgyUGN3NkdhcgpuVVFJaDJi | |
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1090 | aTNkZEpBQUFjV1VsRVFWVHpndUhoNFFFVW55bVZtcHBLZkh3OFlXRmhKbTFPbkRoaHZON2poeDkr | |
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1091 | b0h2MzdqUm8wTUNxCk9ReW5ERVRjSVFYRGFXeVpCWDdmUXB2ZGFpY1J3bUZaZE9HZXRjeWZQNStZ | |
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1092 | bUJqeTgvT0pqWTNGMDlPVHVMamltOS9FeE1Td2F0VXEKUHYzMFU5emMzTkJxdGJ6OTl0dFdIVCtu | |
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1093 | SUljOTUvWVFmbnU0VmZzVmRpeTdPZnp5QnR6N0RDejdGY3c3MzBNSWNaTXEzYUxWWGxSMQpBUzNE | |
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1094 | S1FNemZwN0JqaWQybE5tbkxPeFgzWFpxamwxQk8wMFJQTlliZGo4QmV4NERySGVMWHlFY2lVMXUw | |
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1095 | VnBiR0U0WjVIUmFaNlM0CndBK0xvUDlMMEVET2poTENVazVaTUxiK3NWWG1MNXpWdVdBNE5BTDZ2 | |
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1096 | YXgyRWlFY2p0TVZqSUtpQWhKT0ozRDNIWGVySFVXb1pkTnIKNFBzZHRGRTdpQkNPeGVrS3hwNXpl | |
|
1097 | N2pENHc1YU5HeWhkaFNobHB4bThNdS9JQnFLbENLMTB3amhNSnl1WUNTa0pkRDdqdDVxeHhCcQor | |
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1098 | MjBzRk1HeVBjdlVUaUtFdzNES2doSGVUazZuZFhxS0Mvd0EvN2ZwLzBpL2thNTJHaUVjZ3RNVmpN | |
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1099 | UzBSSHEySy8vS2N1RkV6c09vCkxxUDR2MDMvcDNZU0lSeUNVeFdNODlmT2s1R1RRYWNXbmRTT0l1 | |
|
1100 | ekVxL2U4eXVxanEwaytVelAzWEJHaU5uR3FncEdVbGtSWXV6QmMKTkU3MWJZc0tOSzNmbExjR3ZN | |
|
1101 | WEVIeVpTV0dUN1JUYUZjQ1JPOWNtWmtKWkF6OXZrY0pRdzlXaTNSMm5vMXBCM2s5NVZPNG9RZHMy | |
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1102 | cApDb2JNWDRpeWFEUWFsZzFieHV0YlgrZm9wYU5xeHhIQ2JqbE53U2dvS21EWHVWMkUzaGFxZGhS | |
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1103 | aGgrNXNmaWR6ZEhNWXYzcThISm9TCm9oeE9VVENhTkdtTzIyMXVYRHR6amVZTm02UFJhTXA5Q09m | |
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1104 | MWRNalROSEJ0d055RXVXcEhFY0l1T1VYQnlNcTZBdTBXUTlvRWlsY3kKcmVnaG5KV0x4b1ZsOXkz | |
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1105 | ajM5di96Y0UvRDZvZFJ3aTc0eFFGQTRCMmlaQW04eGVpWXUyYnR1ZjFmcTh6N3Z0eDVCZm1xeDFI | |
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1106 | Q0x1aQpTc0V3R0F6NCtmbmg0K1BEd29VTFM3Mi9mUGx5QWdNRENRd01aTXlZTVJ3N2RxejZnMHJC | |
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1107 | RUdaNkl2Z0pXalJzd1Z1L3ZxVjJGQ0hzCmlpbzNVTkpxdFN4WXNBQnZiMjhpSXlQWnRtMGJucDZl | |
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1108 | eHZjVEVoTHc5L2ZIdzhPRFR6NzVoSTBiTi9MWlo1K1Y2c2ZjbTRCb0dtcmcKV1hkNDh3b29kU3By | |
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1109 | amQzZCtNZHV4cTV0R2QyQWdyTGZhZ0xFQUorQys0MW1aR2JLL1RORTdlRXdOMURLeU1nQUlDSWlB | |
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1110 | bTl2YndZTgpHa1JTVXBKSm0vRHdjT085djZPam85bXlaVXYxQm0wSG5Ba3hvMWdJNTFKQXVYTlpt | |
|
1111 | UXJFZndUM0I1SjE0NHFhSVlXd0d6WXZHTW5KCnlmajYraHFmKy92N2s1aVlXRzc3RHo3NGdLRkRo | |
|
1112 | MVp2MEhiSTRTaGh1YjNqSU9OMmtIdHRDUUdBcTlvQktySng0MFkrLy94enRtL2YKWG02YjJiTm5H | |
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1113 | Ny9XNlhUb2RMclNqZG9CU2JKQ3JiQ1VCdForQURGdDBhZnEwYlhYcVIxSWlDclI2L1hvOWZwcTky | |
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1114 | UHpPWXlNakF4MApPaDE3OXV3QllQTGt5VVJGUlJFZEhXM1NidCsrZlR6d3dBUDg5Tk5QM0hYWFhX | |
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1115 | WDJaYzV4dUNLbGlEb3YxWUYzLzRRYkxjMUk2QWpICjNpVmo5ZHRaMExhamhqWVQyN0RyeVYyMGNa | |
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1116 | ZmI5QW5INXpCekdDVnpFd2FEZ2RUVVZPTGo0d2tMQ3pOcDg4Y2ZmekI4K0hDV0wxOWUKYnJFdzEr | |
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1117 | R0xoK0VHWmhZTEljcHdFbUs2eHpCNjFXZ0tpc3FaSkJmQ0NhaHlXdTM4K2ZPSmlZbGh3SUFCVEp3 | |
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1118 | NEVVOVBUK0xpNG9pTAppd1BnMVZkZjVmTGx5enoxMUZOb3RWcENRNnUrbkVkaVdpS2tXU3U1Y0ZZ | |
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1119 | dlI3eE0zVHAxZVdYeksycEhFVUkxcXB4V2F5M203Rlk5CnNmWUpQbnp0UTBoMndrTXBrdEZxZlNx | |
|
1120 | S3dzWHJGK24rUVhjV1J5OW1TS2NoWm80aGhQMXhtRU5TdHBad09rSDJNSVJWdEd6VWtpOUgKZk1u | |
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1121 | amF4NG45V3FxMm5HRXNMbGFYVEF5Y2pLS2Y3RXZxSjFFMUJhOWJ1L0ZDNzFmWU9UWEk4a3R5RlU3 | |
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1122 | amhBMlZhc0xSdkxaWklMYgpCRU9SMmtsRWJUSzE1MVJ1YjNJNzAzNmVwbllVSVd5cVZoZU1oTk1K | |
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1123 | Y3NNa1lRV3VKa3ZndTdpNDhOMjQ3MWk4WVRHYXdQKzkzcVJKCmM3V0RDbEdqYW5YQlNEd2pkOWdU | |
|
1124 | MWxER0VpSzVDbnk1RHlKYmd2Y1dRQ2xlUmwrSVdxeldGZ3hGVWVTV3JLSm0vZGtWVmkySGtTT2gK | |
|
1125 | NVNHMTB3aFI0MnB0d1RoKytUaU42emFtclh0YnRhT0kydXprUUloL0d4NitGeHFySFVhSW1sVnJD | |
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1126 | MFpDbXN4ZkNCdjViUnpzZmh3ZQpocXpjTExYVENGRmphbTNCU0V4THBPZHRVakNFalJoZWhyUHc0 | |
|
1127 | RGNQeXAzNlJLMVZ1d3VHN0dFSW05SEFldENnNGVuMVQxZnBLbG9oCjdGMnRMQmpYODY1ek5QMW84 | |
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1128 | VFVZUXRoS0Vhd2N1Wkk5NS9md1Q4TS8xVTRqaE5YVnlvS3g4K3hPdXJicVNqM1hlbXBIRVU2bWNk | |
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1129 | M0cKckIrem5tVjdsN0ZveHlLMTR3aGhWWFo5QTZXcWtzTlJRazFlamIzWU5IWVQvVDd0UjE1aEhs | |
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1130 | UERwNm9kU1FpcnFKVjdHSWxuRWdsdgpKM2ZZRStycDBLd0RXOFp2WWZIT3hmeHI2Ny9VamlPRVZk | |
|
1131 | UzZnaUVYN0FsN2NZZkhIV3dadjRWUDkzM0tMUDBzbVFnWERxL1dGWXhUCkdhZUE0bDlXSWRUVzFy | |
|
1132 | MHQrbkY2dmozOExTLys4cUlVRGVIUVZDa1lCb01CUHo4L2ZIeDhXTGh3WWFuM2p4dzVRbmg0T1BY | |
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1133 | cjEyZnUKM0xrVzlWMnlkNkhSYUt3VlY0aHFhZDI0Tlp2SGJXYkRpUTFNKzNtYUZBM2hzRlFwR0ZP | |
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1134 | bVRDRXVMbzZOR3pleWFORWlMbDI2WlBKKwppeFl0V0xod0lUTm16TEM0NzhRMG1iOFE5c2V6b1Nl | |
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1135 | YnhtN2kxejkrWmVJUEV5a3NLbFE3a2hBV3MzbkJ5TWpJQUNBaUlnSnZiMjhHCkRScEVVbEtTU1p1 | |
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1136 | V0xWdlNvMGNQM056Y0xPNWZsZ1FSNmpGZEJ2M1dSL09HelVtZW5NelNWUjh5NUlzaFhNMjVxblpn | |
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1137 | SVN4aTg0S1IKbkp5TXI2K3Y4Ym0vdnorSmlZbFc2VHVuSUljRGZ4NmdlNXZ1VnVsUENNdVVzUXg2 | |
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1138 | R2N1aUYzNVN3RjNON3lMc3d6Q09YanFxWGx3aApMT1R3MTJITW5qM2IrSFZMLzViNGV2clNxRzRq | |
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1139 | OVFJSlVaa2lXRGg0SVV0M0xhWFBSMzM0NUcrZk1OaG5zTnFwUkMybTErdlI2L1hWCjdzZm1CU01r | |
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1140 | SklUbm5udk8rUHpnd1lORVJVVlZ1YitiQzhhOGhIbjBiQ3lIbzRSamVLTDdFL2kxOUdQazF5T1pI | |
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1141 | ajZkNmVIVDVXUU4KVVNOME9oMDZuYzc0Zk02Y09WWHF4K2FIcER3OFBJRGlNNlZTVTFPSmo0OG5M | |
|
1142 | Q3lzekxhV25rMlNrSllnSzlRS2gzTDNIWGVUOVBjawpWdXhmd2Rqdng1SlRrS04ySkNIS3BWRlVP | |
|
1143 | TWR2eTVZdFBQWFVVK1RuNXhNYkcwdHNiQ3h4Y1hFQXhNVEVjUDc4ZVVKQ1Fzak16TVRGCnhRVjNk | |
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1144 | M2NPSFRwRTQ4YW1kNmpSYURRbVJlV09lWGZ3eTloZjhHbmhVNnBkOFRGa2M1amJWcTEyYW80dEdh | |
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1145 | M1Y3dFpmdXh2NU4zaHMKOVdNY1N6L0dwL2QvU2tDckFEUDZFYUpxYnYzc05QdmZxVkV3ck9YbWIv | |
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1146 | cE01aGtDM3cvazRuTVhTKzNXUzhHd2RUczF4M2FNakdYOQoyaW1Ld29lN1ArU2xUUzh4STN3R00z | |
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1147 | ck5vSTVMSFRQNkU4SXlUbHN3alB3QUxiQ2l2TmIyL3lFaUdXM1pUczJ4Sy81bFRiMmF5b1RWCkU4 | |
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1148 | Z3R5T1hqdjMxTXB4YWR6T2hUQ1BOVnRXRFVncVZCL2pwZHNkME1TSHZ0Zjg5TkhrSTRqdlpOMi9Q | |
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1149 | TDJGOTRLT0FoZXYyM0YrOG0KdlV1UlVxUjJMQ0ZxUThINFM3dEVTSk1KYjFFN3VHaGNpQTJMWmZ2 | |
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1150 | ajIvbnl3SmYwLzdRL3h5OGZWenVXY0hLMW8yQzQ1RU9iUFhBbQpWTzBrUWxoVnB4YWQyRHBoSzlF | |
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1151 | KzBmVDhzQ2RUTjB6bGN2Wmx0V01KSjFVN0NrYnJmWENsQStRMlVUdUpFR2FvZUFtUm14OU5talNu | |
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1152 | Cmprc2RadlNhd2NHSkI4a3R5S1h6ZTUxNUorRWRjZ3R5MWY1R2hKT3BIUVhqOWdRNUhDVWNpQmxM | |
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1153 | aVB6MXlNcTZZdnhYclJ1M1puSDAKWWd6akRlaFQ5Zmd0OG1QbHdaV3krcTJ3bVZwd2xwUUNEendD | |
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1154 | S2YxZ3oyUGx0Y1FSenB5UmpMWnNwK2JZbG1VczcxZDBjOHBtWnNUUAp3TTNGamYvcjgzOUVkNHJH | |
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1155 | UlZNNy9nWVVOY3VKVDZ0VklQWXUrR0lOWFBRdnJ5VzE3VU5FTWxhM25acGpXNmRnQUJRcFJhdzh1 | |
|
1156 | SkovCmIvODMxL091TTdYblZCNE5mSlNHYmczTjdGODRvNm9XRElkZmZKQkdmMExEUzNESnQvSzJR | |
|
1157 | amdjVjdQV2wycnMzcFIxKzc1bmJzSmMKWHRuOENrLzFlSXBuUXA2aGRlUFdOc2dvbklYajc3L2Vs | |
|
1158 | bFI4ZHBUaStOK0tFS1daTjk5eExlc3FmZHYzWmMzb05XeWRzSldMTnk3aQp1OGlYOGQrUFoxUEtK | |
|
1159 | cmxoazdBS3h6OGsxZThsS0hJRmZVV3JMOWErd3hTU3NicnQxQnk3WmpMZStxdDg2Y1lsUHQ3N01W | |
|
1160 | OGMrSUp6CldlY1lGVENLTVFGajZORzJoNnlLNitTY2R3NWpiRC9ZUGdPT1YzUS9BZWY5RUpHTTlq | |
|
1161 | aTJiUXJHelk1Y09zSVhCNzVneGY3aXRYUEcKZEIzRDZJRFIrSHJLb1Z4bjVMd0Y0MFYzbUo4SzJj | |
|
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|
1263 | </png> | |
|
1264 | </output> | |
|
1265 | </outputs> | |
|
1266 | </codecell> | |
|
1267 | </cells> | |
|
1268 | </worksheet> | |
|
1269 | </worksheets> | |
|
1270 | </notebook> | |
|
1 | { | |
|
2 | "nbformat": 2, | |
|
3 | "name": "rmt", | |
|
4 | "worksheets": [ | |
|
5 | { | |
|
6 | "cells": [ | |
|
7 | { | |
|
8 | "source": "# Eigenvalue distribution of Gaussian orthogonal random matrices", | |
|
9 | "cell_type": "markdown" | |
|
10 | }, | |
|
11 | { | |
|
12 | "source": "The eigenvalues of random matrices obey certain statistical laws. Here we construct random matrices \nfrom the Gaussian Orthogonal Ensemble (GOE), find their eigenvalues and then investigate the nearest\nneighbor eigenvalue distribution $\\rho(s)$.", | |
|
13 | "cell_type": "markdown" | |
|
14 | }, | |
|
15 | { | |
|
16 | "cell_type": "code", | |
|
17 | "language": "python", | |
|
18 | "outputs": [], | |
|
19 | "collapsed": false, | |
|
20 | "prompt_number": 1, | |
|
21 | "input": "from rmtkernel import ensemble_diffs, normalize_diffs, GOE\nimport numpy as np\nfrom IPython.parallel import Client" | |
|
22 | }, | |
|
23 | { | |
|
24 | "source": "## Wigner's nearest neighbor eigenvalue distribution", | |
|
25 | "cell_type": "markdown" | |
|
26 | }, | |
|
27 | { | |
|
28 | "source": "The Wigner distribution gives the theoretical result for the nearest neighbor eigenvalue distribution\nfor the GOE:\n\n$$\\rho(s) = \\frac{\\pi s}{2} \\exp(-\\pi s^2/4)$$", | |
|
29 | "cell_type": "markdown" | |
|
30 | }, | |
|
31 | { | |
|
32 | "cell_type": "code", | |
|
33 | "language": "python", | |
|
34 | "outputs": [], | |
|
35 | "collapsed": true, | |
|
36 | "prompt_number": 2, | |
|
37 | "input": "def wigner_dist(s):\n \"\"\"Returns (s, rho(s)) for the Wigner GOE distribution.\"\"\"\n return (np.pi*s/2.0) * np.exp(-np.pi*s**2/4.)" | |
|
38 | }, | |
|
39 | { | |
|
40 | "cell_type": "code", | |
|
41 | "language": "python", | |
|
42 | "outputs": [], | |
|
43 | "collapsed": true, | |
|
44 | "prompt_number": 3, | |
|
45 | "input": "def generate_wigner_data():\n s = np.linspace(0.0,4.0,400)\n rhos = wigner_dist(s)\n return s, rhos" | |
|
46 | }, | |
|
47 | { | |
|
48 | "cell_type": "code", | |
|
49 | "language": "python", | |
|
50 | "outputs": [], | |
|
51 | "collapsed": false, | |
|
52 | "prompt_number": 4, | |
|
53 | "input": "s, rhos = generate_wigner_data()" | |
|
54 | }, | |
|
55 | { | |
|
56 | "cell_type": "code", | |
|
57 | "language": "python", | |
|
58 | "outputs": [ | |
|
59 | { | |
|
60 | "output_type": "pyout", | |
|
61 | "prompt_number": 17, | |
|
62 | "text": "<matplotlib.text.Text at 0x3828790>" | |
|
63 | }, | |
|
64 | { | |
|
65 | "output_type": "display_data", | |
|
66 | "png": 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oUeqcDCkYQljOrILx8ssvs2DBAlq1asWMGTOIc/Kps1Iwai83N5gxQ33KcIGH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\ngvad9HfeeSc33nhjpe87wr2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| |
|
67 | } | |
|
68 | ], | |
|
69 | "collapsed": false, | |
|
70 | "prompt_number": 17, | |
|
71 | "input": "plot(s, rhos)\nxlabel('Normalized level spacing s')\nylabel('Probability $\\rho(s)$')" | |
|
72 | }, | |
|
73 | { | |
|
74 | "source": "## Serial calculation of nearest neighbor eigenvalue distribution", | |
|
75 | "cell_type": "markdown" | |
|
76 | }, | |
|
77 | { | |
|
78 | "source": "In this section we numerically construct and diagonalize a large number of GOE random matrices\nand compute the nerest neighbor eigenvalue distribution. This comptation is done on a single core.", | |
|
79 | "cell_type": "markdown" | |
|
80 | }, | |
|
81 | { | |
|
82 | "cell_type": "code", | |
|
83 | "language": "python", | |
|
84 | "outputs": [], | |
|
85 | "collapsed": true, | |
|
86 | "prompt_number": 6, | |
|
87 | "input": "def serial_diffs(num, N):\n \"\"\"Compute the nearest neighbor distribution for num NxX matrices.\"\"\"\n diffs = ensemble_diffs(num, N)\n normalized_diffs = normalize_diffs(diffs)\n return normalized_diffs" | |
|
88 | }, | |
|
89 | { | |
|
90 | "cell_type": "code", | |
|
91 | "language": "python", | |
|
92 | "outputs": [], | |
|
93 | "collapsed": true, | |
|
94 | "prompt_number": 7, | |
|
95 | "input": "serial_nmats = 1000\nserial_matsize = 50" | |
|
96 | }, | |
|
97 | { | |
|
98 | "cell_type": "code", | |
|
99 | "language": "python", | |
|
100 | "outputs": [ | |
|
101 | { | |
|
102 | "output_type": "stream", | |
|
103 | "text": "1 loops, best of 1: 1.19 s per loop" | |
|
104 | } | |
|
105 | ], | |
|
106 | "collapsed": false, | |
|
107 | "prompt_number": 8, | |
|
108 | "input": "%timeit -r1 -n1 serial_diffs(serial_nmats, serial_matsize)" | |
|
109 | }, | |
|
110 | { | |
|
111 | "cell_type": "code", | |
|
112 | "language": "python", | |
|
113 | "outputs": [], | |
|
114 | "collapsed": false, | |
|
115 | "prompt_number": 9, | |
|
116 | "input": "serial_diffs = serial_diffs(serial_nmats, serial_matsize)" | |
|
117 | }, | |
|
118 | { | |
|
119 | "source": "The numerical computation agrees with the predictions of Wigner, but it would be nice to get more\nstatistics. For that we will do a parallel computation.", | |
|
120 | "cell_type": "markdown" | |
|
121 | }, | |
|
122 | { | |
|
123 | "cell_type": "code", | |
|
124 | "language": "python", | |
|
125 | "outputs": [ | |
|
126 | { | |
|
127 | "output_type": "pyout", | |
|
128 | "prompt_number": 10, | |
|
129 | "text": "<matplotlib.text.Text at 0x3475bd0>" | |
|
130 | }, | |
|
131 | { | |
|
132 | "output_type": "display_data", | |
|
133 | "png": 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CWKxqWTAyczM5EH8Af2d/raMIU0lpDXtfhSeeB12+1mmEsEjVsmDsu7SPjk06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\nrkJggg==\n" | |
|
134 | } | |
|
135 | ], | |
|
136 | "collapsed": false, | |
|
137 | "prompt_number": 10, | |
|
138 | "input": "hist_data = hist(serial_diffs, bins=30, normed=True)\nplot(s, rhos)\nxlabel('Normalized level spacing s')\nylabel('Probability $P(s)$')" | |
|
139 | }, | |
|
140 | { | |
|
141 | "source": "## Parallel calculation of nearest neighbor eigenvalue distribution", | |
|
142 | "cell_type": "markdown" | |
|
143 | }, | |
|
144 | { | |
|
145 | "source": "Here we perform a parallel computation, where each process constructs and diagonalizes a subset of\nthe overall set of random matrices.", | |
|
146 | "cell_type": "markdown" | |
|
147 | }, | |
|
148 | { | |
|
149 | "cell_type": "code", | |
|
150 | "language": "python", | |
|
151 | "outputs": [], | |
|
152 | "collapsed": true, | |
|
153 | "prompt_number": 11, | |
|
154 | "input": "def parallel_diffs(rc, num, N):\n nengines = len(rc.targets)\n num_per_engine = num/nengines\n print \"Running with\", num_per_engine, \"per engine.\"\n ar = rc.apply_async(ensemble_diffs, num_per_engine, N)\n diffs = np.array(ar.get()).flatten()\n normalized_diffs = normalize_diffs(diffs)\n return normalized_diffs" | |
|
155 | }, | |
|
156 | { | |
|
157 | "cell_type": "code", | |
|
158 | "language": "python", | |
|
159 | "outputs": [], | |
|
160 | "collapsed": true, | |
|
161 | "prompt_number": 12, | |
|
162 | "input": "client = Client()\nview = client[:]\nview.run('rmtkernel.py')\nview.block = False" | |
|
163 | }, | |
|
164 | { | |
|
165 | "cell_type": "code", | |
|
166 | "language": "python", | |
|
167 | "outputs": [], | |
|
168 | "collapsed": true, | |
|
169 | "prompt_number": 13, | |
|
170 | "input": "parallel_nmats = 40*serial_nmats\nparallel_matsize = 50" | |
|
171 | }, | |
|
172 | { | |
|
173 | "cell_type": "code", | |
|
174 | "language": "python", | |
|
175 | "outputs": [ | |
|
176 | { | |
|
177 | "output_type": "stream", | |
|
178 | "text": "Running with 10000 per engine.\n1 loops, best of 1: 14 s per loop" | |
|
179 | }, | |
|
180 | { | |
|
181 | "output_type": "stream" | |
|
182 | } | |
|
183 | ], | |
|
184 | "collapsed": false, | |
|
185 | "prompt_number": 14, | |
|
186 | "input": "%timeit -r1 -n1 parallel_diffs(view, parallel_nmats, parallel_matsize)" | |
|
187 | }, | |
|
188 | { | |
|
189 | "cell_type": "code", | |
|
190 | "language": "python", | |
|
191 | "outputs": [ | |
|
192 | { | |
|
193 | "output_type": "stream", | |
|
194 | "text": "Running with 10000 per engine." | |
|
195 | } | |
|
196 | ], | |
|
197 | "collapsed": false, | |
|
198 | "prompt_number": 15, | |
|
199 | "input": "pdiffs = parallel_diffs(view, parallel_nmats, parallel_matsize)" | |
|
200 | }, | |
|
201 | { | |
|
202 | "source": "Again, the agreement with the Wigner distribution is excellent, but now we have better\nstatistics.", | |
|
203 | "cell_type": "markdown" | |
|
204 | }, | |
|
205 | { | |
|
206 | "cell_type": "code", | |
|
207 | "language": "python", | |
|
208 | "outputs": [ | |
|
209 | { | |
|
210 | "output_type": "pyout", | |
|
211 | "prompt_number": 16, | |
|
212 | "text": "<matplotlib.text.Text at 0x376c950>" | |
|
213 | }, | |
|
214 | { | |
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215 | "output_type": "display_data", | |
|
216 | "png": 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EVW18Ex4dCOqcsCeEU7BoD+Py5cu0bdvW+LxNmzZcvnzZ6qFszXDKIFd3O7oL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\n" | |
|
217 | } | |
|
218 | ], | |
|
219 | "collapsed": false, | |
|
220 | "prompt_number": 16, | |
|
221 | "input": "hist_data = hist(pdiffs, bins=30, normed=True)\nplot(s, rhos)\nxlabel('Normalized level spacing s')\nylabel('Probability $P(s)$')" | |
|
222 | } | |
|
223 | ] | |
|
224 | } | |
|
225 | ] | |
|
226 | } No newline at end of file |
@@ -1,78 +1,87 b'' | |||
|
1 | <?xml version="1.0" encoding="utf-8"?> | |
|
2 | <notebook> | |
|
3 | <name>task_1</name> | |
|
4 | <nbformat>2</nbformat> | |
|
5 | <worksheets> | |
|
6 | <worksheet> | |
|
7 | <cells> | |
|
8 | <markdowncell> | |
|
9 | <source># Simple task farming example</source> | |
|
10 | </markdowncell> | |
|
11 | <codecell> | |
|
12 | <input>from IPython.parallel import Client</input> | |
|
13 |
|
|
|
14 | <prompt_number>3</prompt_number> | |
|
15 | <collapsed>1</collapsed> | |
|
16 | <outputs /> | |
|
17 | </codecell> | |
|
18 | <markdowncell> | |
|
19 | <source>A `Client.load_balanced_view` is used to get the object used for working with load balanced tasks.</source> | |
|
20 | </markdowncell> | |
|
21 | <codecell> | |
|
22 | <input>rc = Client() | |
|
23 | v = rc.load_balanced_view()</input> | |
|
24 | <language>python</language> | |
|
25 | <prompt_number>4</prompt_number> | |
|
26 | <collapsed>1</collapsed> | |
|
27 | <outputs /> | |
|
28 | </codecell> | |
|
29 | <markdowncell> | |
|
30 | <source>Set the variable `d` on all engines:</source> | |
|
31 | </markdowncell> | |
|
32 | <codecell> | |
|
33 | <input>rc[:]['d'] = 30</input> | |
|
34 | <language>python</language> | |
|
35 | <prompt_number>5</prompt_number> | |
|
36 | <collapsed>1</collapsed> | |
|
37 | <outputs /> | |
|
38 | </codecell> | |
|
39 | <markdowncell> | |
|
40 | <source>Define a function that will be our task:</source> | |
|
41 | </markdowncell> | |
|
42 | <codecell> | |
|
43 | <input>def task(a): | |
|
44 | return a, 10*d, a*10*d</input> | |
|
45 | <language>python</language> | |
|
46 | <prompt_number>6</prompt_number> | |
|
47 | <collapsed>1</collapsed> | |
|
48 | <outputs /> | |
|
49 | </codecell> | |
|
50 | <markdowncell> | |
|
51 | <source>Run the task once:</source> | |
|
52 | </markdowncell> | |
|
53 | <codecell> | |
|
54 | <input>ar = v.apply(task, 5)</input> | |
|
55 | <language>python</language> | |
|
56 | <prompt_number>7</prompt_number> | |
|
57 | <collapsed>1</collapsed> | |
|
58 | <outputs /> | |
|
59 | </codecell> | |
|
60 | <markdowncell> | |
|
61 | <source>Print the results:</source> | |
|
62 | </markdowncell> | |
|
63 | <codecell> | |
|
64 | <input>print "a, b, c: ", ar.get()</input> | |
|
65 | <language>python</language> | |
|
66 | <prompt_number>8</prompt_number> | |
|
67 | <collapsed>0</collapsed> | |
|
68 | <outputs> | |
|
69 | <output> | |
|
70 | <output_type>stream</output_type> | |
|
71 | <text>a, b, c: [5, 300, 1500]</text> | |
|
72 | </output> | |
|
73 | </outputs> | |
|
74 | </codecell> | |
|
75 | </cells> | |
|
76 | </worksheet> | |
|
77 | </worksheets> | |
|
78 | </notebook> | |
|
1 | { | |
|
2 | "nbformat": 2, | |
|
3 | "name": "task_1", | |
|
4 | "worksheets": [ | |
|
5 | { | |
|
6 | "cells": [ | |
|
7 | { | |
|
8 | "source": "# Simple task farming example", | |
|
9 | "cell_type": "markdown" | |
|
10 | }, | |
|
11 | { | |
|
12 | "cell_type": "code", | |
|
13 | "language": "python", | |
|
14 | "outputs": [], | |
|
15 | "collapsed": true, | |
|
16 | "prompt_number": 3, | |
|
17 | "input": "from IPython.parallel import Client" | |
|
18 | }, | |
|
19 | { | |
|
20 | "source": "A `Client.load_balanced_view` is used to get the object used for working with load balanced tasks.", | |
|
21 | "cell_type": "markdown" | |
|
22 | }, | |
|
23 | { | |
|
24 | "cell_type": "code", | |
|
25 | "language": "python", | |
|
26 | "outputs": [], | |
|
27 | "collapsed": true, | |
|
28 | "prompt_number": 4, | |
|
29 | "input": "rc = Client()\nv = rc.load_balanced_view()" | |
|
30 | }, | |
|
31 | { | |
|
32 | "source": "Set the variable `d` on all engines:", | |
|
33 | "cell_type": "markdown" | |
|
34 | }, | |
|
35 | { | |
|
36 | "cell_type": "code", | |
|
37 | "language": "python", | |
|
38 | "outputs": [], | |
|
39 | "collapsed": true, | |
|
40 | "prompt_number": 5, | |
|
41 | "input": "rc[:]['d'] = 30" | |
|
42 | }, | |
|
43 | { | |
|
44 | "source": "Define a function that will be our task:", | |
|
45 | "cell_type": "markdown" | |
|
46 | }, | |
|
47 | { | |
|
48 | "cell_type": "code", | |
|
49 | "language": "python", | |
|
50 | "outputs": [], | |
|
51 | "collapsed": true, | |
|
52 | "prompt_number": 6, | |
|
53 | "input": "def task(a):\n return a, 10*d, a*10*d" | |
|
54 | }, | |
|
55 | { | |
|
56 | "source": "Run the task once:", | |
|
57 | "cell_type": "markdown" | |
|
58 | }, | |
|
59 | { | |
|
60 | "cell_type": "code", | |
|
61 | "language": "python", | |
|
62 | "outputs": [], | |
|
63 | "collapsed": true, | |
|
64 | "prompt_number": 7, | |
|
65 | "input": "ar = v.apply(task, 5)" | |
|
66 | }, | |
|
67 | { | |
|
68 | "source": "Print the results:", | |
|
69 | "cell_type": "markdown" | |
|
70 | }, | |
|
71 | { | |
|
72 | "cell_type": "code", | |
|
73 | "language": "python", | |
|
74 | "outputs": [ | |
|
75 | { | |
|
76 | "output_type": "stream", | |
|
77 | "text": "a, b, c: [5, 300, 1500]" | |
|
78 | } | |
|
79 | ], | |
|
80 | "collapsed": false, | |
|
81 | "prompt_number": 8, | |
|
82 | "input": "print \"a, b, c: \", ar.get()" | |
|
83 | } | |
|
84 | ] | |
|
85 | } | |
|
86 | ] | |
|
87 | } No newline at end of file |
@@ -1,74 +1,69 b'' | |||
|
1 | <?xml version="1.0" encoding="utf-8"?> | |
|
2 | <notebook> | |
|
3 | <name>taskmap</name> | |
|
4 | <nbformat>2</nbformat> | |
|
5 | <worksheets> | |
|
6 | <worksheet> | |
|
7 | <cells> | |
|
8 | <markdowncell> | |
|
9 | <source># Load balanced map and parallel function decorator</source> | |
|
10 | </markdowncell> | |
|
11 | <codecell> | |
|
12 | <input>from IPython.parallel import Client</input> | |
|
13 |
|
|
|
14 | <prompt_number>4</prompt_number> | |
|
15 | <collapsed>1</collapsed> | |
|
16 | <outputs /> | |
|
17 | </codecell> | |
|
18 | <codecell> | |
|
19 | <input>rc = Client() | |
|
20 | v = rc.load_balanced_view()</input> | |
|
21 |
|
|
|
22 | <prompt_number>5</prompt_number> | |
|
23 | <collapsed>1</collapsed> | |
|
24 | <outputs /> | |
|
25 | </codecell> | |
|
26 | <codecell> | |
|
27 | <input>result = v.map(lambda x: 2*x, range(10)) | |
|
28 | print "Simple, default map: ", list(result)</input> | |
|
29 |
|
|
|
30 | <prompt_number>6</prompt_number> | |
|
31 | <collapsed>0</collapsed> | |
|
32 | <outputs> | |
|
33 | <output> | |
|
34 | <output_type>stream</output_type> | |
|
35 | <text>Simple, default map: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]</text> | |
|
36 | </output> | |
|
37 | </outputs> | |
|
38 | </codecell> | |
|
39 | <codecell> | |
|
40 | <input>ar = v.map_async(lambda x: 2*x, range(10)) | |
|
41 | print "Submitted tasks, got ids: ", ar.msg_ids | |
|
42 | result = ar.get() | |
|
43 | print "Using a mapper: ", result</input> | |
|
44 | <language>python</language> | |
|
45 | <prompt_number>7</prompt_number> | |
|
46 | <collapsed>0</collapsed> | |
|
47 | <outputs> | |
|
48 | <output> | |
|
49 | <output_type>stream</output_type> | |
|
50 | <text>Submitted tasks, got ids: [&apos;2a25ff3f-f0d0-4428-909a-3fe808ca61f9&apos;, &apos;edd42168-fac2-4b3f-a696-ce61b37aa71d&apos;, &apos;8a548908-7812-44e6-a8b1-68e941bee608&apos;, &apos;26435a77-fe86-49b6-b59f-de864d59c99f&apos;, &apos;6750c7b4-2168-49ec-bcc4-feb1e17c5e53&apos;, &apos;117240d1-5dfc-4783-948f-e9523b2b2f6a&apos;, &apos;6de16d46-f2e2-49bd-8180-e43d1d875529&apos;, &apos;3d372b84-0c68-4315-92c8-a080c68478b7&apos;, &apos;43acedae-e35c-4a17-87f0-9e5e672500f7&apos;, &apos;eb71dd1f-9500-4375-875d-c2c42999848c&apos;] | |
|
51 | Using a mapper: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]</text> | |
|
52 |
|
|
|
53 | </outputs> | |
|
54 | </codecell> | |
|
55 | <codecell> | |
|
56 | <input>@v.parallel(block=True) | |
|
57 | def f(x): return 2*x | |
|
58 | ||
|
59 | result = f.map(range(10)) | |
|
60 | print "Using a parallel function: ", result</input> | |
|
61 | <language>python</language> | |
|
62 | <prompt_number>8</prompt_number> | |
|
63 | <collapsed>0</collapsed> | |
|
64 | <outputs> | |
|
65 |
|
|
|
66 | <output_type>stream</output_type> | |
|
67 | <text>Using a parallel function: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]</text> | |
|
68 | </output> | |
|
69 | </outputs> | |
|
70 | </codecell> | |
|
71 | </cells> | |
|
72 | </worksheet> | |
|
73 | </worksheets> | |
|
74 | </notebook> | |
|
1 | { | |
|
2 | "nbformat": 2, | |
|
3 | "name": "taskmap", | |
|
4 | "worksheets": [ | |
|
5 | { | |
|
6 | "cells": [ | |
|
7 | { | |
|
8 | "source": "# Load balanced map and parallel function decorator", | |
|
9 | "cell_type": "markdown" | |
|
10 | }, | |
|
11 | { | |
|
12 | "cell_type": "code", | |
|
13 | "language": "python", | |
|
14 | "outputs": [], | |
|
15 | "collapsed": true, | |
|
16 | "prompt_number": 4, | |
|
17 | "input": "from IPython.parallel import Client" | |
|
18 | }, | |
|
19 | { | |
|
20 | "cell_type": "code", | |
|
21 | "language": "python", | |
|
22 | "outputs": [], | |
|
23 | "collapsed": true, | |
|
24 | "prompt_number": 5, | |
|
25 | "input": "rc = Client()\nv = rc.load_balanced_view()" | |
|
26 | }, | |
|
27 | { | |
|
28 | "cell_type": "code", | |
|
29 | "language": "python", | |
|
30 | "outputs": [ | |
|
31 | { | |
|
32 | "output_type": "stream", | |
|
33 | "text": "Simple, default map: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]" | |
|
34 | } | |
|
35 | ], | |
|
36 | "collapsed": false, | |
|
37 | "prompt_number": 6, | |
|
38 | "input": "result = v.map(lambda x: 2*x, range(10))\nprint \"Simple, default map: \", list(result)" | |
|
39 | }, | |
|
40 | { | |
|
41 | "cell_type": "code", | |
|
42 | "language": "python", | |
|
43 | "outputs": [ | |
|
44 | { | |
|
45 | "output_type": "stream", | |
|
46 | "text": "Submitted tasks, got ids: ['2a25ff3f-f0d0-4428-909a-3fe808ca61f9', 'edd42168-fac2-4b3f-a696-ce61b37aa71d', '8a548908-7812-44e6-a8b1-68e941bee608', '26435a77-fe86-49b6-b59f-de864d59c99f', '6750c7b4-2168-49ec-bcc4-feb1e17c5e53', '117240d1-5dfc-4783-948f-e9523b2b2f6a', '6de16d46-f2e2-49bd-8180-e43d1d875529', '3d372b84-0c68-4315-92c8-a080c68478b7', '43acedae-e35c-4a17-87f0-9e5e672500f7', 'eb71dd1f-9500-4375-875d-c2c42999848c']\nUsing a mapper: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]" | |
|
47 | } | |
|
48 | ], | |
|
49 | "collapsed": false, | |
|
50 | "prompt_number": 7, | |
|
51 | "input": "ar = v.map_async(lambda x: 2*x, range(10))\nprint \"Submitted tasks, got ids: \", ar.msg_ids\nresult = ar.get()\nprint \"Using a mapper: \", result" | |
|
52 | }, | |
|
53 | { | |
|
54 | "cell_type": "code", | |
|
55 | "language": "python", | |
|
56 | "outputs": [ | |
|
57 | { | |
|
58 | "output_type": "stream", | |
|
59 | "text": "Using a parallel function: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]" | |
|
60 | } | |
|
61 | ], | |
|
62 | "collapsed": false, | |
|
63 | "prompt_number": 8, | |
|
64 | "input": "@v.parallel(block=True)\ndef f(x): return 2*x\n\nresult = f.map(range(10))\nprint \"Using a parallel function: \", result" | |
|
65 | } | |
|
66 | ] | |
|
67 | } | |
|
68 | ] | |
|
69 | } No newline at end of file |
This diff has been collapsed as it changes many lines, (886 lines changed) Show them Hide them | |||
@@ -1,606 +1,280 b'' | |||
|
1 | <?xml version="1.0" encoding="utf-8"?> | |
|
2 | <notebook> | |
|
3 |
|
|
|
4 | <nbformat>2</nbformat> | |
|
5 | <worksheets> | |
|
6 | <worksheet> | |
|
7 | <cells> | |
|
8 | <markdowncell> | |
|
9 | <source><h1>Basic Symbolic Quantum Mechanics</h1></source> | |
|
10 | </markdowncell> | |
|
11 | <codecell> | |
|
12 | <input>%load_ext sympyprinting</input> | |
|
13 |
|
|
|
14 | <prompt_number>18</prompt_number> | |
|
15 | <collapsed>1</collapsed> | |
|
16 | <outputs /> | |
|
17 | </codecell> | |
|
18 | <codecell> | |
|
19 | <input>from sympy import sqrt, symbols, Rational | |
|
20 | from sympy import expand, Eq, Symbol, simplify, exp, sin | |
|
21 | from sympy.physics.quantum import * | |
|
22 | from sympy.physics.quantum.qubit import * | |
|
23 | from sympy.physics.quantum.gate import * | |
|
24 | from sympy.physics.quantum.grover import * | |
|
25 | from sympy.physics.quantum.qft import QFT, IQFT, Fourier | |
|
26 | from sympy.physics.quantum.circuitplot import circuit_plot</input> | |
|
27 | <language>python</language> | |
|
28 | <prompt_number>19</prompt_number> | |
|
29 | <collapsed>1</collapsed> | |
|
30 | <outputs /> | |
|
31 | </codecell> | |
|
32 | <markdowncell> | |
|
33 | <source><h2>Bras and Kets</h2></source> | |
|
34 | </markdowncell> | |
|
35 | <markdowncell> | |
|
36 | <source>Create symbolic states</source> | |
|
37 | </markdowncell> | |
|
38 | <codecell> | |
|
39 | <input>phi, psi = Ket('phi'), Ket('psi') | |
|
40 | alpha, beta = symbols('alpha beta', complex=True)</input> | |
|
41 | <language>python</language> | |
|
42 | <prompt_number>20</prompt_number> | |
|
43 | <collapsed>1</collapsed> | |
|
44 | <outputs /> | |
|
45 | </codecell> | |
|
46 | <markdowncell> | |
|
47 | <source>Create a superposition</source> | |
|
48 | </markdowncell> | |
|
49 | <codecell> | |
|
50 | <input>state = alpha*psi + beta*phi; state | |
|
51 | </input> | |
|
52 | <language>python</language> | |
|
53 | <prompt_number>21</prompt_number> | |
|
54 | <collapsed>0</collapsed> | |
|
55 | <outputs> | |
|
56 | <output> | |
|
57 | <output_type>pyout</output_type> | |
|
58 | <text>α⋅❘ψ⟩ + β⋅❘φ⟩</text> | |
|
59 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUY4QUFBQVhDQVlBQUFCdFI1UDBBQUFBQkhOQ1NWUUlD | |
|
60 | QWdJZkFoa2lBQUFCSEJKUkVGVQphSUh0MlZtc1hXTVVCL0RmdmIwZHFCWXRqWkNyV3ZkQk9pRFZs | |
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78 | dlNUOGJIYVpkd2luaE5TdElua1cxbGcyNDFmbWtXYkVvZjVoU0pxVzZmWTdlMGxRYVhveERhMXJK | |
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80 | aWEydkZpZ2U5dS9OSUFmaFpIK3ZpYzBRTGNLbzdSdUdUKwpLU1dCd2ZPaWxwNlFqQ2VKMHpRQ3E4 | |
|
81 | U2RzclhBN25ROFhlRzNMekVEMTRpMk9LMzdhY2Z5bzY0bE00OTE0a245ekdROFh5VFRXSEdhCk4r | |
|
82 | Q3lBcnRDZnRrKy8yemNKaTZaelVsQWIrSUMwWUxlSTE0OFBWNFIzRlpSODY3RExORlJyRXAwN2FK | |
|
83 | MEZHRng4dnNEZ1JHaXVWaUsKUjBYaTdZazNjTDdxL240YmpoRk54R3hSWnNkZ1Y5eXMrTjZoSC9p | |
|
84 | VjljQXBwdUxDT3Z6TVVwMXQ5YUNqem5tN0s2N0haYWppT0VTdAp2YTVDS2IvK2ZLU2ZyNzVGV2FL | |
|
85 | NDlXd0UzOVE1YjY0NHpYMkJRNVcvejhtaWxGOXZGcjlUY2J1V1lnbys3TUZIcTZpenYvWWlEamlq | |
|
86 | CnpubXpOZmJDcklyakhGR3FxdEJYL0xxaHA5ZkE3WFg0R09nL1V4cDkrMW5GOGM0NjdQOHJmeFlO | |
|
87 | WWhDREdBVDhBKzB3M1dzNWRhbkkKQUFBQUFFbEZUa1N1UW1DQwo= | |
|
88 | </png> | |
|
89 | <latex>$$\alpha {\left|\psi\right\rangle } + \beta {\left|\phi\right\rangle }$$</latex> | |
|
90 | <prompt_number>21</prompt_number> | |
|
91 | </output> | |
|
92 | </outputs> | |
|
93 | </codecell> | |
|
94 | <markdowncell> | |
|
95 | <source>Dagger the superposition and multiply the original</source> | |
|
96 | </markdowncell> | |
|
97 | <codecell> | |
|
98 | <input>ip = Dagger(state)*state; ip | |
|
99 | </input> | |
|
100 | <language>python</language> | |
|
101 | <prompt_number>22</prompt_number> | |
|
102 | <collapsed>0</collapsed> | |
|
103 | <outputs> | |
|
104 | <output> | |
|
105 | <output_type>pyout</output_type> | |
|
106 | <text>⎛⎽ ⎽ ⎞ | |
|
107 | ⎝α⋅⟨ψ❘ + β⋅⟨φ❘⎠⋅(α⋅❘ψ⟩ + β⋅❘φ⟩)</text> | |
|
108 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5vQUFBQWFDQVlBQUFEUjlVSnZBQUFBQkhOQ1NWUUlD | |
|
109 | QWdJZkFoa2lBQUFDSHBKUkVGVQplSnp0bkhlTVZFVWN4ejkzUjBmZ3dEdWFvaWg0b0lKS1FNQ1du | |
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110 | RjFBTUVyVTJFQVRRVVFsRmpSZzdCcERiSW1DR3ZWTUVLT29JV0pzCkpOWTFGaXlnU0FtaWxOaUFp | |
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111 | RmhqUWVYT1AzN3p2TGV6TS9ObTN0dTdOYnFmNUxLN00vTm1mci85dmpmbE4zTmJRWms0aHdHekxY | |
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113 | SFF2dFNHbEdrNURnS2VCeXBLYlVpTQpXMHR0UUF0ajh1OVJZRjZKYmZpdjhhL3k4VG1ndm9qMXpj | |
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114 | RC9vWjFoU2M4Vng1UlU3QWJNQXVZQURjQ1JoaksrUGw1dVNjOFowdm9BCjI0RTlQZW85Rk9qblVj | |
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148 | bGxxaHJma09HNEFFVTlxeUxrTkR6NDhERHlEQjcKQXhMcGVvVFNCVUZBMWdlWEl5SGVDbVJLTkFy | |
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149 | eGRUVDUwd1Niais4aGkrc0daSjlyQ0hKVERrRDhmU1hBbnJIWXY0OFhNSi91VDZPWApqYlJhVGNZ | |
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150 | ZWFDa21JWHFaU0t0VmtuK0RnWnRjRGJkSEZweTJucTRQc21iUXFhWnd2Nkl2Y0llanJVcEUrS2sw | |
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151 | OTVnMmNnbjVOa0pDCnhiM0pQN0hkRHRrcmNaSGs0ekRnZHBMM2szS1c5RVhBQkV0ZUZUSjY5WGZV | |
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152 | RzZLWHpRWUkwNnFDc0VDV2pxOW1hZlRLT2ZKOHRVcnkKcncvd1Nid2UwOVJ4QnhJSnVnZnpodW9X | |
|
153 | WW91OEdEOVF1RkRkakF5eFhTMEdOU0pmekVKYWJxcllpUHZrUkp4Njh1ZnpmNUE4OVVueQpzUTc1 | |
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154 | dDZNZG5qYkVHWVk4eUxialF6dVJUV2pYT2loRUx4Y2hXbzBsZWFSTWFzdEhzM3JDOVhMaHExV1Nm | |
|
155 | M09SWUU2aTVsVklhTFVZCnY1RXhITGpNa1crTFRPcmtNdGhnNnRGTjNFbTZVL0F1SCs5QXdyOUo1 | |
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156 | TFRQN1pESXBzOHArR2N3YjZpR290dWc0NnZWQXNUK0xQaG8KbGthdm5DUFBWeXVYZnhPUXFIdmVJ | |
|
157 | R2I3S1lPZHlPNzRCTEwvYnNWeTdEZExEZWJlMXNTbEdXendiYU1kOEZlSytsMCt4dmRrWE9qKwp6 | |
|
158 | VUpPYmZpc1YwOUhUb2owU0NvWWFFTWNYNjMyQXo2bGNLOHRGSisyMHVqbDh0RkhLNWQvWFpEamFC | |
|
159 | UHduMFVCY3ZxNGMyS3BaR3h6Cit2Wmt2em1LU2Uva0lsWnNQcWF0TS9TNkRyVHNqL240YXRXSjdL | |
|
160 | T1pMMW4wU2x1Znk3K094RTdzbHlsVHBreVpNbVhLbENtVGdyOEIKMktjNjJRN3k0RTRBQUFBQVNV | |
|
161 | Vk9SSzVDWUlJPQo= | |
|
162 | </png> | |
|
163 | <latex>$$\left(\overline{\alpha} {\left\langle \psi\right|} + \overline{\beta} {\left\langle \phi\right|}\right) \left(\alpha {\left|\psi\right\rangle } + \beta {\left|\phi\right\rangle }\right)$$</latex> | |
|
164 | <prompt_number>22</prompt_number> | |
|
165 | </output> | |
|
166 | </outputs> | |
|
167 | </codecell> | |
|
168 | <markdowncell> | |
|
169 | <source>Distribute</source> | |
|
170 | </markdowncell> | |
|
171 | <codecell> | |
|
172 | <input>qapply(expand(ip)) | |
|
173 | </input> | |
|
174 | <language>python</language> | |
|
175 | <prompt_number>23</prompt_number> | |
|
176 | <collapsed>0</collapsed> | |
|
177 | <outputs> | |
|
178 | <output> | |
|
179 | <output_type>pyout</output_type> | |
|
180 | <text>⎽ ⎽ ⎽ ⎽ | |
|
181 | α⋅α⋅⟨ψ❘ψ⟩ + α⋅β⋅⟨φ❘ψ⟩ + β⋅α⋅⟨ψ❘φ⟩ + β⋅β⋅⟨φ❘φ⟩</text> | |
|
182 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVU4QUFBQWFDQVlBQUFBMytkNENBQUFBQkhOQ1NWUUlD | |
|
183 | QWdJZkFoa2lBQUFCOVZKUkVGVQplSnp0bkh1SUZWVWN4eiticm1CcFdxMWFtcGJQM0hWVnhDaWwx | |
|
184 | S3NVb2VoS3BSbEZVWmxaVmhROW9LeklIb2daU0JtOUpEVjZVV1FVClBmNm9QMng3UDZDM1VsU1E5 | |
|
185 | dEswN0tFRitjaisrTTJ3czNOblpzL3ZuSm01c3pKZldOZzc4enUvTS9kenZuZG16bS9PdlhXVTZn | |
|
186 | eXEKQjU1UDJIODE4RzFPeDFLcWxGYWxmMHVWS2xXcVZLbFNwVXFWc2xhWFdoK0FveTRDZGdJN2Fu | |
|
187 | MGdCN0JLeHRtclpKeU5NdVY2VUJaSgpEVFVaR0djWU94YzRLbUw3Q0tCQjBXZFVubGxlbnM2a091 | |
|
188 | QnM0QzdnZnVCbW9HdE1yQ25uNFFpTHNBNEV4aHBlV3VYdDQ2aHhxalZmCjBERTJqYzNUdTJxdXJp | |
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189 | ZlBldURsaEw5aENXMHZCRFlZOW5NeXNNWCtNQlB6ZkFoY25rTHV2SFFFY0Nmd0czQVRjdXpOd01x | |
|
190 | WWVGUE8KcHdDYlVqaStvakUyNGRXWmZCdzFUclgyc01hVG10Zzh2YXZtNm5yMTNRUE10R2pYQkh6 | |
|
191 | anRUZlJmeFo5bU9iNUJmbndISTdiN1gwdgo0RStIOWlicUNpd0ZGaVBtODdVQnVBUllGSXJYY0c0 | |
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192 | Q0hrcmhHTE5pYk1QWGxGZG44bkhVT05YU3d4cFBhbUx6OXE2YWE2Mm03UXVCClZZYXhqY0NYS2ZT | |
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193 | WmxHY1ZzTUF4L3pySDlpYTZIcmlWOXNZRG1JQVlMU3dONS8zZW40dXlaR3pEVjh0THExcjRPRzZj | |
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194 | YXVWaERXTk4KYk43ZVZYT3R4Y216QWFsNS9Hb1lYd0hXcDlCdlVwNVBrYW1EeTUxNHZVTmJFeDBD | |
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195 | OUFTMmhyYVBCVTVGcGtCQmFUZ1BJNTJUU1lYcwpHR3Y1YW5scFZRc2ZKNDFUTFR5c1lheUp6ZHU3 | |
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196 | Vmx5alFOY0QwNENweUp0NEQzZ1UyQmVUWEJ1L0VIZzRZdnQ0NU9uWUI4QmpnZTFECmFGdEFPeHVw | |
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197 | VFZ3Wms5c2x6M1BBSE9EcGhOeHBTOE51THJEVysvOENwSDdXQlppRVREbmZEOFhIY1E1cUpsS1FQ | |
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198 | eDdZQlF3Q1Z0QngKWGE0ek1OYnlLcHFQZ3pJZHA3dzlyR0dzaWMzU3V6WTVJcm1HN3p3YmdJK0JF | |
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199 | NEZsd0EzQW1jRHlRTXkxRHZIMXlOT3JqYUYrS3dqTQpwY0FqUU4vQXZtQ2RhQVp3QlZLYmlaSkxu | |
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200 | aGVCbHBpOFdVakxiaWh0VjhjSnlCUmpKSEFzTUNhVU80NnpyeUhJK3gyS1BQSDhFVGdQCmVBb3g4 | |
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201 | ZWlFNDY3UU9SaHJlQlhOeDc2MDQ1UzNoeldNVFdPejlLNXRqZzY1SGdwOFJIV2RZUTd5Umh1OW1P | |
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202 | V1c4WGdIT0NPaTc1WEkKYmZwcFh0c0IzdlltNFB4QVhBT3lic3VmWGl4REJzSTFqNityZ0lrUngy | |
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203 | ZWlWa1dzRGJzbE1ibGVRcVkzd1F0aEhHZUFmc0RtMFA0SApBLy9mRHJ3YmVGMFV4cTNLK0NVeDI4 | |
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204 | TzhpdWhqMEkrVHI3dzhERHBQbXNabTZWMmJITDRTdWQ0SC9FMzFPclFSaUJIbUkwL0R4bGpHCkF6 | |
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205 | eUptQ3VvT21TcUJQQUVNbDN5dFFnNE9oVC9UT0QvSUJ5WFBMNTZZbDZrRHF0VkVhdGwxd2ljRlpO | |
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207 | bFlRMWpUV3hXM3JYTjRhdUthN0RtT1JONGhlcjV2bCtuR1l0YwpLUit3ak8rRzFJL0NUN1QyQTY4 | |
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208 | RDNZSFRnUnNEK3dZZ3Q5UytEa1BXWGtVcGpUdzdrYnVNT1BWQVBoaFJ0ZUxSeUpyQXNQWWdDNEwv | |
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209 | CkRXelRzcXNRL3lSMENMRGQrNE40emlCVHBFbkFkWUZ0VXhGdXdmZXhCZGdkMFQ1cnhtbnhyV0RP | |
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210 | cTJnK0JyZHh5c3ZERmN3Wm04Wm0KNlYzWEhGVmNmWUREdmNScnFKWmZxMm1oN1N5dWpjYzdtQzFl | |
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211 | dTAwUjdTWUNCd092ZXEvcnFDN1dUMGJ1RkpMa2ttY2F5VmZmWGNDbApSQnZ2V1c5ZldIdHBiem9i | |
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212 | ZHMyMG4xcjQ2Z3BNcC8zZ0ozR2VpQmp6czhDMlViU2RHRURNOUZwRVgrRThXVEJPZ3krWTh5cXFq | |
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213 | MTNHCktROFBnODZUcHJGWmV6Y1RydjI5cE9mRWRMcVA5alVmYmJ5dlk1QUNiWlRPOEhKMjkxNDMw | |
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214 | LzVXZnh3d0pkUW02cmJjSm8rdnRZangKYmRScUdHZkRiaXRTM0E1ckh2SmhHQnphSHNkNUZISlM2 | |
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215 | TzI5cnFPOWNSWWc5YURnZzQ2aU1HNVZ4SnJ5S3FxUGJjYkpWeDRlQnAwbgpOYkZaZWpkVnJuNlI5 | |
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216 | bWVrYUg1Q3FNRkFaTlg5NWtDSDR5M2lmVzFHcGl3OUlnNXVQWExsbWU2OW5rTGJGV2syY2dmd1Jr | |
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217 | Uzd0UElNCkEzNEMvakhvdzBWYWRxT0F4NEdMUS9HTndEM0lnSDhYMmhmSGVTUHdObEtVQjVtU2Z1 | |
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218 | NzkzNExVZmxxQWJSMjhoeUl6MXZBcXFvOXQKeHlrdkQyc1lhLzJicFhkVDVScThkWitGRkd0WEly | |
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219 | Zk0vWkd2SkYyRDFDeFdBTGNnU3pwczRuMnRSYjZ6R3A2Mi9JR3NmYnNEV1cvbApMeGNZaVJUZmI4 | |
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220 | Tk10bmt1ODQ0NUQybllIUXZjaTlScVhrQnFaUU9RSy9RTTRKT1lQdUk0VDBlVzBReEZUTG9ES1lS | |
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221 | dlE2N1NKaCs4CklqT3VvT05WVkIvYmpGTmVIcTVnemxnVDZ5dEw3MmJLdFE5d1pNVDJIa1FYb3JY | |
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222 | eElBWHJwRzgzRFVPdVZnTVRZaUI2U21tVHB4Y2QKTDhydFNLMFdiVXpZM1IzYU53anphVmtTNTI3 | |
|
223 | SVNTT3EvNkNLd3JqVk1NNldWMUY5YkRwT2VYcFl3OWgyUExMMnJqUFhxSVBiVHZWWApxRUJxRTMr | |
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224 | bEVBL3lSQy9waHhnR0l3dFRmMGlJTVpGcG52bkFhc2UrNHI2SmtxU08yTlZSdld6amU4eW5aVW1j | |
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225 | ZHdPL3gvU3ZVVjZNClRmaTY4Q3FxajAzSEtTOFBheGk3akVmVzNuWG1XcXNmQmxtSGZJTWpUaFhz | |
|
226 | N3VSczhuUkI2bGxKUzBkTU5NK3hmWlNhZ2E4YzJpZHgKUGc3NDJpRzNyd3I1TURiaDY4cExxeng4 | |
|
227 | YkRKT2VYcFl3OWhsUExMMnJqUFhXcDA4OXlMRjIrYVkvZjFvV3lPV3BOWEFGd243VGZLMApJTFVZ | |
|
228 | VjVuK1FJUkdVNEMzSE5vbmNUNEplTWNnUjFFWW0vQjE1YVZWSGo0MkdhYzhQYXhoN0RJZVdYczNU | |
|
229 | NjZwcTU3NDJrZlVyMjNiCnlDUlBiK0svMFZCcjlVc2hSeHpudnFSejhTd1M0elI0YVpXMWowM0dL | |
|
230 | VThQYXhpN2prZVczaTBhMTFLbFNwVXFWYXBVcVZLbFNwVXEKVmFwVWV2b2Z6NFNPd3VmaXE1Z0FB | |
|
231 | QUFBU1VWT1JLNUNZSUk9Cg== | |
|
232 | </png> | |
|
233 | <latex>$$\alpha \overline{\alpha} \left\langle \psi \right. {\left|\psi\right\rangle } + \alpha \overline{\beta} \left\langle \phi \right. {\left|\psi\right\rangle } + \beta \overline{\alpha} \left\langle \psi \right. {\left|\phi\right\rangle } + \beta \overline{\beta} \left\langle \phi \right. {\left|\phi\right\rangle }$$</latex> | |
|
234 |
|
|
|
235 | </output> | |
|
236 | </outputs> | |
|
237 | </codecell> | |
|
238 | <markdowncell> | |
|
239 | <source><h2>Operators</h2></source> | |
|
240 | </markdowncell> | |
|
241 | <markdowncell> | |
|
242 | <source>Create symbolic operators</source> | |
|
243 | </markdowncell> | |
|
244 | <codecell> | |
|
245 | <input>A = Operator('A') | |
|
246 | B = Operator('B') | |
|
247 | C = Operator('C')</input> | |
|
248 | <language>python</language> | |
|
249 | <prompt_number>24</prompt_number> | |
|
250 | <collapsed>1</collapsed> | |
|
251 | <outputs /> | |
|
252 | </codecell> | |
|
253 | <markdowncell> | |
|
254 | <source>Test commutativity</source> | |
|
255 | </markdowncell> | |
|
256 | <codecell> | |
|
257 | <input>A*B == B*A | |
|
258 | </input> | |
|
259 | <language>python</language> | |
|
260 | <prompt_number>25</prompt_number> | |
|
261 | <collapsed>0</collapsed> | |
|
262 | <outputs> | |
|
263 | <output> | |
|
264 | <output_type>pyout</output_type> | |
|
265 | <text>False</text> | |
|
266 | <prompt_number>25</prompt_number> | |
|
267 | </output> | |
|
268 | </outputs> | |
|
269 | </codecell> | |
|
270 | <markdowncell> | |
|
271 | <source>Distribute A+B squared</source> | |
|
272 | </markdowncell> | |
|
273 | <codecell> | |
|
274 | <input>expand((A+B)**2)</input> | |
|
275 | <language>python</language> | |
|
276 | <prompt_number>26</prompt_number> | |
|
277 | <collapsed>0</collapsed> | |
|
278 | <outputs> | |
|
279 | <output> | |
|
280 | <output_type>pyout</output_type> | |
|
281 | <text>2 2 | |
|
282 | A⋅B + A + B⋅A + B</text> | |
|
283 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU1BQUFBQVpDQVlBQUFCbjdTSGdBQUFBQkhOQ1NWUUlD | |
|
284 | QWdJZkFoa2lBQUFCT05KUkVGVQplSnp0Mmx1b0ZWVWN4L0ZQNmpuWnNkTk5LelZGS0xzWDFFT1Jw | |
|
285 | R1lJS1JrRlJnUkpENzBvRkJSRm1sUXYwa3NQUVVWWVBZWFJUY1RxCklTcUtvdWhDRDBZU2RDVUt0 | |
|
286 | SXRkMEpKU3V1bnBZZTNOMlU0emU2ODFNL3NjT2N3WERwczlhODNNLy9mL25UWHJ2OVpzR2hvYUdo | |
|
287 | STUKRW1kZ3luZ0gwdENUcmw1Tkh0dFlKZ1Fyc0JMSFlDT21ZdHU0UnRSUVJPTlZ6UXpncGRZbm5J | |
|
288 | NFJYRGh1RVRVVTBYalZCMDdBbjFqUQpjZXdQckJtZmNCcTZFT1ZWYWcyN0VvUFkzS1hQUnN3cmFQ | |
|
289 | c0hPMXZuZjVCNDcxUUc4WGRDL3p4dDJXdnN3Ykg0cS9WOVBvN1NmeTFGCjlDUFhNUjdYVFpGWEtm | |
|
290 | cjY3dFdKcllzKzFxUGZJTTRYcHB2bk1TUU10Q21ZZzRkYmJldktCaExCTEt4TzZGK2s3VjZqVTJn | |
|
291 | ZVc3RSsKTGJSYXFUdlhzUjdYU1RldlV2VDEzYXNuV2pkN01hTHZpbGJmNjNQYUJ2QXo5Z2tDWTBo | |
|
292 | WnJFOFNERXc1cDBqYm1YaTg0SnkxdUNYaApIdDJvc2hsUlo2NVRQQzZpYnE5aTlaWHlhbEprb0pj | |
|
293 | SzA4c0laa2IwWDl6NmZEdW43VURyT2tkRTNuOHBib3ZvMStZbXZONjZUd3pkCnRIMHBKUGk4elBG | |
|
294 | VitFeVlvZ2V3TUNHK0xLbjZzdFNWNjFTUDgraUhWN0g2ZGlqaFZjdy80QlRjaDd1eFcvd0ErQncv | |
|
295 | NWJRdHhVbDQKVmxpazlHSkEvRXdCTndpci94aGl0TDNnMEtmSGRUaEhTUHBWZ3VGSEo4U1hKVlZm | |
|
296 | bGpweVhjYmpQUHJoVllxK3ZuaDF1OUdWOHlmWQozNlAva1BBa2VUU25iYUZRWTI0UlhsREVzRng4 | |
|
297 | N1hZODNvenNTNXkySVdHeEJkUHhQajdNL00xT3VHZVdGSDE1c2RXUjYxU1BpNmpiCnExUjl5Vjcx | |
|
298 | MmdXYWphdUZrUVkvNGx4aGRiMjM0SndGd3BQZ1pLUEpHRzRGdkEvWDRxMGU5eTNMcWRnVjJUZFcy | |
|
299 | MzRjRko1c3U0VlMKNFhDaGpseVg4YmdPWXJ4SzFaZnNWYThCOElBd0xSNXNmVzlQUXpNVko2ZGRz | |
|
300 | NjBWUm1pYnJYZ1FHL0FWdnVzVlhBbW1DNG1KSVVYYgpUbUczWWtmVkFHdW1qbHlYOGJnT1lyd3Fv | |
|
301 | eS9KcTI1cmdLWENYbXZudm1sbmNvcFloQy93RFg3citOc3UxSHlMOEhSTWNDWFlpN2tSCi9WSzF6 | |
|
302 | Y0x2MVVMckMxVnpYZGJqT29qeHFveStKSytLWm9CQllkVzhIUTkxSEwrNDR5WjVET0FTUEZQUS9v | |
|
303 | TWdZTEV3bFhVR3VreFkKdEdTWkk3elZtNS9UOWg0MmRYemZLZnp3cVJ1cDJnWXhBNy8ydUc0djZ0 | |
|
304 | RFhTWlZjVTk1anhzYXJNdnFTdlNvYUFIY0tLK3N0bWVQZgpDblZaMGRQaEl1RnQyN3NGN1dmak9H | |
|
305 | RlVadzNaSnRSdFdSWUlpWG95cHkxYlErNFM2c0J1YjRGVHRaMG0xSmtqQmRlTHBRNTluVlRKCk5l | |
|
306 | VTlabXk4S3FNdjJhdThBVEFQbHd1ai9HQ21iV2JtTTB1N1ppc0src2JXNTFNNWJYc2NXdWUxbVlG | |
|
307 | cHdnbytoczNDMUppM3cxQkcKMnhMRlQ2RVU2dExYcGtxdXEzak0ySGhWUnQ4U0ZiMGF4anZDVzdV | |
|
308 | ODVndWphMU5CK3l1S0YxeXJXK2MrSnlRcGx0UnR3aUc4NXYrdgp4Y3RvbTRGWGhYM2tmbEYyRzdS | |
|
309 | c3JxdDYzSTI2dkNKZFh5bXYyalBBTU83Qk5UaEwyQlBlNE5CZGdEWENDQ004UGRiaFpYeU5tNFZW | |
|
310 | Ci9SWENOdHA2L05zUjJKV0MyRnZ4U0VxQUpkZ3Y3R3FzRm1yY0t0cFdDZHFxbGo5MU1WWDVYRmZK | |
|
311 | dzZlMUt3bGt2YXFpN3c0bHZHcVAKbG1GYzFuRjhCRzhZL1NVZFlick1qdFNQOEVzcjJLS1Jkd0Fm | |
|
312 | QzR1V01pekhCYmcvOGJ4VDhMMXEyaVlMTlhFL1NkRTNvSHl1cStRaAoxcnVxWGxYUk4xZi92Um9Y | |
|
313 | bHVHdThRNmlqMHdrZlJOSnkySEROUDNma3g1UEpwSytpYVNsb2FHaG9hR2hvV0dpOGgrc1pjTHdo | |
|
314 | djBRCnV3QUFBQUJKUlU1RXJrSmdnZz09Cg== | |
|
315 | </png> | |
|
316 | <latex>$$A B + \left(A\right)^{2} + B A + \left(B\right)^{2}$$</latex> | |
|
317 | <prompt_number>26</prompt_number> | |
|
318 | </output> | |
|
319 | </outputs> | |
|
320 | </codecell> | |
|
321 | <markdowncell> | |
|
322 | <source>Create a commutator</source> | |
|
323 | </markdowncell> | |
|
324 | <codecell> | |
|
325 | <input>comm = Commutator(A,B); comm | |
|
326 | </input> | |
|
327 | <language>python</language> | |
|
328 | <prompt_number>27</prompt_number> | |
|
329 | <collapsed>0</collapsed> | |
|
330 | <outputs> | |
|
331 | <output> | |
|
332 | <output_type>pyout</output_type> | |
|
333 | <text>[A,B]</text> | |
|
334 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUM0QUFBQVdDQVlBQUFDL2tLNzNBQUFBQkhOQ1NWUUlD | |
|
335 | QWdJZkFoa2lBQUFBa2hKUkVGVQpTSW50MTgyTFRXRWNCL0RQdk9XbEpwVEdZTEt3VUZNenpZWm1N | |
|
336 | ek5KaVdsMi9nSEZRbFptNHlVYlk0V3RRc3FVRlJZaVNvUTRhSXBTCjhyS1FST1JkU1pFTU0xZzh6 | |
|
337 | K1hPblhQbW5udG5aa0crZFh2Ty9YM1A3L3Y3M3Q5em51YzhsNzhVTlNYZkwrQXJMdUZBbWR3OXFN | |
|
338 | TzIKS3VvT1lDMDY4UU5EK0JLNVJpekIyWGpmK3hqdngwbzBvSzlVTU1sWnVCM2ZjYXdLMHdVMENH | |
|
339 | WlBwWEJ0VWY4ZWFrdTRSRW93RDJxdwpEL1ZvcmlLL2dPV1loWXNwM0FOY0ZoclVscFpjamZIMXNk | |
|
340 | aG5relBlRThlckdYd3JSdkU4ajFoU2hwOFhDOVhqTVQ3a0VjM0FPYnpLCjROYmhwekN6cFVqU0Vs | |
|
341 | S0RSVGlFVmZGNktJclBLT2N3QmJYNGlPTWw4ZG5ZSExudHhtOGV2ejNXVjFCc2hkRHhLL0g3Mnpn | |
|
342 | MjQxa0YKT3RDQk9aaUx2VEUyRTZ1RlhXME5ibFVpbUdURWEzRk4yS1lLT0NoMHZMT1NBaEZiWXU2 | |
|
343 | eUZHNGp2bUhEUkI3ekxzNU53dDVldkZDSwpPMTRwZXZBT2oxSzRRYndXR3RPWUpaRG5VV25Demxp | |
|
344 | a3F5amVFc2RxakhmaitnVDhKMkYybCtKdUhzRWtKWFlVdlNueFBtRzZkK1VSCkxrSnJ6T3ZQNEJk | |
|
345 | Ry9xa0pGbWU1UjZWTGVJT2RUK0ZleERHdDQ0c20wQ3pzM3pjeStJRTRIaEYrUUM0a1JkZnRlSU1G | |
|
346 | R2ZjdWpzS24KUytJZHd2bGpNQ1B2cFBEeXFpdUpOMkUvUnJBanA4Y3h3Zm5DR1dFMEdudm96L05j | |
|
347 | d0FtOGpQeXcwTDNDd2FjRlQzRGYyS2srZzVzeApaeVJlSi9Gelczak5IeloySFZWa2ZLcXdld3Ex | |
|
348 | aXBGUTNWa2xMNlpUZTlyRWUzRm5tclF4M3ZpSThHY2lhNnZLcTlrdC9adzlHV3dWCnZBMVBzZTUv | |
|
349 | L052NEJmcHZkNXROTFJsdUFBQUFBRWxGVGtTdVFtQ0MK | |
|
350 | </png> | |
|
351 | <latex>$$\left[A,B\right]$$</latex> | |
|
352 | <prompt_number>27</prompt_number> | |
|
353 | </output> | |
|
354 | </outputs> | |
|
355 | </codecell> | |
|
356 | <markdowncell> | |
|
357 | <source>Carry out the commutator</source> | |
|
358 | </markdowncell> | |
|
359 | <codecell> | |
|
360 | <input>comm.doit()</input> | |
|
361 | <language>python</language> | |
|
362 | <prompt_number>28</prompt_number> | |
|
363 | <collapsed>0</collapsed> | |
|
364 | <outputs> | |
|
365 | <output> | |
|
366 | <output_type>pyout</output_type> | |
|
367 | <text>A⋅B - B⋅A</text> | |
|
368 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUU0QUFBQVNDQVlBQUFEMTV1aVJBQUFBQkhOQ1NWUUlD | |
|
369 | QWdJZkFoa2lBQUFBaTVKUkVGVQpXSVh0MXp0b1ZFRVlCZURQR0VHTGxRUU1haFFpcEJVRjBTcVl3 | |
|
370 | bWRockN4Rk8rMEYwVUt4VVZTMEVMRU5hV09oUWhvckZmR0JsWStnCklwcE9nbURBS2tyVXFMR1lR | |
|
371 | ZGRrN3U1OUpBRmhEeXgzZHM0L2M4N1p1WFBuTGkyVXdwS0M5VmN3aVRNTmFnYXhEWnZ3RlUvd1BY | |
|
372 | S3IKMEluck9JZXBndnFOc0JDNmVmSTJ4VmI4eEZDTzJnMll3YVVFdHk5eUkxWE1MSUp1a2J5WmFN | |
|
373 | UGRLSHc3Ui8yaFdMc3JneCtMcG1wVgpUQzJnYnRPOGJUa05IY1VOVEdOTmp2cCtZWnM4VG5BMXJN | |
|
374 | Y0VQdWZVejR2NTBpMmFONGt1NGRkdnd6Zys1Qmp6Rmc4enVCUENTaDRwCmEyaUJkY3ZrVFdJSWZi | |
|
375 | SDlGRDgwdmxOWFI0Tm5aL1YzeEw0SkhDNXJaaEYwYytWdGJ6SkpINWI2ZSt0L2pOKzdZanVGL25q | |
|
376 | dHhjWFkKcm1FQTcrS2NZMDN0RjhkODZKYkpPd2Z0ZUlTMWRYMUR3cXB1YmpEdUdyNWhlWUk3THh6 | |
|
377 | dnUvT2FLSUNxdW1YenpzRXhISi9WZHlGTwp0TGZCdUZIcGh6T3NFQjY0NzRzWXlZbXF1b1h5Wm0z | |
|
378 | VjdqakpHLzhlN1QzeG1uWFNkR0FqTG1mdzA4SmRzVTdZUnBQQ1ZqcWRVWi9DCmlCQ29xbTQ5eXVh | |
|
379 | ZGcySHNTUFFmRUZiZ1pNYTQvWkVmeU9DM1IvNU9YaU01VVZXM2NON1U2YmdUbjNBdndZM0hhOVlL | |
|
380 | OUVlaDFKWloKaGxPeFBaZ3h2aXlxNkZiSit3ZGJoTk9qTTRQdmpRYUhNL2puZUpubzc4Rk5mTUhC | |
|
381 | WmlaS29LeHUxYnk2OFFxL1l1RnI0YjJvSHJlRQpsOEVaNFUvMEErekJTbUcxWGtSdVNqaWQ3c2ZQ | |
|
382 | S0o3aHF2QWNtaTlVMGEyU3Q0VVdXdmgvOEJ0MXY4VEcwN0FDaFFBQUFBQkpSVTVFCnJrSmdnZz09 | |
|
383 | Cg== | |
|
384 | </png> | |
|
385 | <latex>$$A B - B A$$</latex> | |
|
386 | <prompt_number>28</prompt_number> | |
|
387 | </output> | |
|
388 | </outputs> | |
|
389 | </codecell> | |
|
390 | <markdowncell> | |
|
391 | <source>Create a more fancy commutator</source> | |
|
392 | </markdowncell> | |
|
393 | <codecell> | |
|
394 | <input>comm = Commutator(A*B,B+C); comm</input> | |
|
395 | <language>python</language> | |
|
396 | <prompt_number>29</prompt_number> | |
|
397 | <collapsed>0</collapsed> | |
|
398 | <outputs> | |
|
399 | <output> | |
|
400 | <output_type>pyout</output_type> | |
|
401 | <text>[A⋅B,B + C]</text> | |
|
402 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUdBQUFBQVdDQVlBQUFBLzQ1bmtBQUFBQkhOQ1NWUUlD | |
|
403 | QWdJZkFoa2lBQUFBM3RKUkVGVQphSUh0MkUyc1hWTVVCL0RmZXhxdlV2cjBReFhGUUkyazhkbjRh | |
|
404 | dCtBMXdnbGtmaUltUkloRWhFRERCclZDTkxHTTJxakhSQTZFTVNFCmdmaElrU3Q5alU3RTkwY0lT | |
|
405 | YVdFcEJKYURhckZZTzNiM2w3bjNMUFA2NzMzVGU1L3NzL1phKzMvWHVmc3RkWmVlelBBdEdLbzdm | |
|
406 | MU4KL0ltdGVLcGk3RG9jZ3djNzZHekNwVGdQZitIOTFNSmNuSVNYOFNoK3IyRjNyM2lQQmlPNElk | |
|
407 | bDFydmlQSTlpTWw3QVdEK0ZqWEliOQpSU1NOek1tVzRHKzhrS0c3RVA5aVE0SHN5aVI3SzNQZWZ2 | |
|
408 | Qk9CUmZoYzJ6QkZlTEhTKzNqMklqZk1DNmNmR1laVVNOanNpRzhMajd3CjNRejltNUx1dFNYeVQ1 | |
|
409 | TjhYZ1pYTDNubjRZeWFOaENldlY5NUpoakNKUDRRUC82b0YyQVY3c05lZkpHaHZ4RUhNTHRBTmpQ | |
|
410 | eC9JTGgKREs1ZThsNHZ2cXNPYmhlTGZFZUYzaHE4azU2UFdJQVpOU2VjZzF1eEF2ZUlORkNGTVh5 | |
|
411 | SVBRV3lPM0U4N3NVL05XM3BGVzh1emhicApid2VlcWREOVRqaExKUm9WOHMwaXg4RjJzZm9qNWVw | |
|
412 | T3hFRk10UFdQQ3EvWXJkcDcrc1ZiTndLMmllOGZ6OUM5RUl2VDg1UWpZS21JCmdHYmUvem0xQzdH | |
|
413 | elpNeHlrUUxPeFByVU4wdms3WjFKL21VTkczck5tNHM1dUJ5ZjRPME0vUTl5aVJzbC9jTjR6NUdi | |
|
414 | MUNiaEFSZDMKNEpzUW9YZENnZXhoN01QS1hPTjZ6RnNuQWxhS2IzK3U1aHkwUlVEdUJuV1hPQnQ4 | |
|
415 | MzlMWEdnRmxHQk4xNzk0QzJibzAvN1ArZng2cApRcTk0YzlGMHVzOHlkT2ZxVUlubHBLQUZXSTJ2 | |
|
416 | c2F5bGYxRnF5eFpnRmk1UWZxQTdLRXF6QmNuQTNSbTJkSU4zbFdKUEg4V3hTZDZPCjUvRmt5M3N6 | |
|
417 | NWY2WVllOXFQSmFoaCtJVXRBVlhGL1EzdzNCdENkZUtKTCt4Ukw0MHlTZHpqZXN4YjUwVWRGYWE0 | |
|
418 | NGtLdmNXNHY2MnYKVmdwYUprNjhieFRJZHFXMkxBTEdVcnV0UURaRFZDdndkTW40VTN2RTJ3MThL | |
|
419 | NnJBNnhUdlE4UWlyUkY3WlRZYUxjOUw4Qk5PTHRFOQpUWGpCS3lYeUhmaW1vSDhSWGhScDRyYVNz | |
|
420 | YzFUN2dOZDV1MkV1bVhvYkxFSWt6aTlwWDhVdDRoQ29haEVyeXhENTR0Uzh4eUhxNTl4Cmh6MmV1 | |
|
421 | RnhhbnA2dkVkNjRQbzE3VFpScDU0c0xzdTBpaW9qNnZaa2VMaEViYVJGMjRRY1JnUk00cmt1ODNj | |
|
422 | UWVYQ1VPZlJ1RUEzeUYKWDBYQlV1UThsV2gweWJodTRaRSt6aldWcTRpcFlFcGw2SFJnV0hoMXY3 | |
|
423 | QlAvNjZ1RDZIdVhWQS9jVGRlN2VOOFcvczQxeUcwUjhBQgpFU0w5Q01WT21DL3kva2ZUYkVjM2Ni | |
|
424 | UDR0NmZvM1FYaEFBTU1NRUFkL0FmM1FPSkhTbklZTndBQUFBQkpSVTVFcmtKZ2dnPT0K | |
|
425 | </png> | |
|
426 | <latex>$$\left[A B,B + C\right]$$</latex> | |
|
427 | <prompt_number>29</prompt_number> | |
|
428 | </output> | |
|
429 | </outputs> | |
|
430 | </codecell> | |
|
431 | <markdowncell> | |
|
432 | <source>Expand the commutator</source> | |
|
433 | </markdowncell> | |
|
434 | <codecell> | |
|
435 | <input>comm.expand(commutator=True)</input> | |
|
436 | <language>python</language> | |
|
437 | <prompt_number>30</prompt_number> | |
|
438 | <collapsed>0</collapsed> | |
|
439 | <outputs> | |
|
440 | <output> | |
|
441 | <output_type>pyout</output_type> | |
|
442 | <text>[A,B]⋅B + [A,C]⋅B + A⋅[B,C]</text> | |
|
443 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU44QUFBQVdDQVlBQUFCQUhrbFFBQUFBQkhOQ1NWUUlD | |
|
444 | QWdJZkFoa2lBQUFCT1ZKUkVGVQplSnp0bTB0b1hVVVl4MytKQ1duRitLclUra1lMWXRIYWhZK2dK | |
|
445 | S1dJcjlxNkVWeXBGSFJSeFlBRm4zUmpYRm5CallLSzFFZ0VVUmMrClVOQ0lRaDBmUVZ4cGl3dVJn | |
|
446 | TzgzaWxJdGF1dGo4YzNoM2h4bnpwazU4ODI5dDNKK0VFNHkzOHgzdnU5LzU4eWNPek9CbHBhV3Zq | |
|
447 | QlUKK3Z0VjRIZmdkZUNobXJiM0FvY0FkelM0N3d4d09UQUIvQTBzQVB1c2JSdzRHWGpKMXZ2Qmxt | |
|
448 | OEROZ0Nqd0NZbG56bUkwUkRTZEN3WQpBcTRFSm9GemtmekhnT2VBQjRIVndBYzJwa0hYcjQ0NnZY | |
|
449 | ejZ6NUF2UHczOU1ZRTNXd3ZzQjU2S0RMS2JVU1Q1NXgyMnM2ei9QY0J3CnlXWXkrTlRFUk5UVjBQ | |
|
450 | RlVlODk1cEFPTTIvSmg0SHJnU2VCVFlEb2d2a0hRcjRvUXZVeUZMVWQrYXZwN0RWME1BYThBL3dD | |
|
451 | N0lvSXMKYzRIMWNhUEhQbS90WjVmS1RRYWZQbzRHVGdtc1cyQUM2Mm5vdUFYWUN6eUt6QVl1SHJm | |
|
452 | M09DTWdQbTM5b0ptR0xrTDFNaFUyN2Z5Uwo5Rzh5Z20wQlhnTitCVlkxYUYrdzNsN2Y4TmpYQUg4 | |
|
453 | Qm4vZlI1NFhBMVJIM2p5RlZ4eWxnRnZuZ3R5SjV1WmdIdmdJK0N2Q1o0elBSCjBsQ2ozMm5tcDY2 | |
|
454 | L3FiRWZoUVErQWl3Q1B3VUU2ZU5sNEd1UDdTcGt0TGpQWVRNWmZQcllETndXVVIvQ1pyNVVIWThF | |
|
455 | UGtOeVhWNVQKOXh6Z2ljRDR0UFdEWmhxV2lkSExWTmkwOHN1aXY5ZGdlUVM0eVA2K2dBUTdWdFBH | |
|
456 | eFREd00vQjBxZnhRNENacnU1UC9MZ2hWeFpqaQowMGV1aHk5Vng1MjJ6WFJkUmVBa1pQYXBpeStI | |
|
457 | ZnFEejhNWG9aVHpsbXZtcDZEOFMwTGpnUEdRRUt0NjN2N1BYVmNnb0VNTTY0QWhrCkJObGh5NVlC | |
|
458 | bHlBclZaY0I3dzJBenh4bzZMZ1orYTZ4TTZEdUYvYW5qa0hWVDZ2ZmFlYVhRLy9LVWVOTlpEbTI0 | |
|
459 | R0hrNlo4SWNWemkKRnR2MmRJZnRCdUJQWktVb0pzWVVuejYwWno0TkhWZmIrdTlHeGxWZ1BPVTU5 | |
|
460 | SU8wbWErSlhzWlRycFdmbXY2aEN5NWJrVDJLN2kraQozU05RTE91Qjc0R1BIYlpaNEJ0RTVIR0h2 | |
|
461 | WmMrdGRIUXNlaDBId2JVSFdOcHg2MWlFUFhUN0hkYSthbnBIL0xhdVJMWWpnUTkyVlYrCm9yMDJY | |
|
462 | YWw3cThLK0Z3bjZOR0IzRDN4ZUI5enFhSE00SXVDMUR0c3pkRjVmUXREU3NYalY4aTBjZEhNenN1 | |
|
463 | a2NRdXBub3EyaGRyL1QKNm5PNTlIZE8yWFBBUmtmNUptVDZ2VHZVdVdXTmJiZk5Zei9PMmo4aGZN | |
|
464 | RWwxYWNQemRmT09YUjBIQVYrUTA1alZIRVljTCtqM0RqSwpjdWtIelY4NzUyaW1sM0dVYWVhbnBu | |
|
465 | L2RhK2Nrc3VzLzc3QjlhYSt1RWVqNENwL0ZYc3ZiSHZ1TXZUNkdDQkpDRHArYWFPcTRINWt4CnBw | |
|
466 | Q1ZOQmNya0dOTkR3VEdOMmo2TmRYTFI5UDhlcVUvc0hUVVdBdDhDeHpycVh1Q0RmU0ZVdms2NUd6 | |
|
467 | YnJLZmRzOGhHYWZsRXdFb2sKNEFQQVhZRXhhdm4wb1RIejVkQnhCT2tBaThpeHFJTGx3S1hJMHZ5 | |
|
468 | S3dQZ2duMzRRcjJGVHZRcU1vNnhKZnRuMWQzM25Pd1paMWoyVAp6bXJUeFhSR0hPZzgrUUJYSUNQ | |
|
469 | S0RtUVQ4MGZrTE52NXlCUmVqQ1F2SW9KT0lLY0JGcEFsWHBBcGVwa3Qyd0M4NHdtOFRBNmZXdVRT | |
|
470 | CkVhU3pYSU9zem0xSFZ2QVdnVitRZktmeG43am9acEQwUzlYTFJVcCt2ZEIvQ1NhMlFRWDNLUHJx | |
|
471 | eG1UeTZ5TFhKbnNNMmpvYVpYOTEKYUd5eXgyQ1UvV1hUUCtmcDlINmRmTmRrSC9LNjBrOE9kaDBI | |
|
472 | UWNNVXN1a2ZjOElsaG8zQSs1bDg5NUpkcFAzblJpci9CeDM3cldFSwpXZlV2UDlVSGtIMEozNUpz | |
|
473 | cU04cDNQOHpsY0x0U0d4L0tQdlZSa05EME5meFlORXZsVmIvbHBhV2xwYVdscGFXbGc3L0FwMkpD | |
|
474 | c0NZCkVCSG1BQUFBQUVsRlRrU3VRbUNDCg== | |
|
475 | </png> | |
|
476 | <latex>$$\left[A,B\right] B + \left[A,C\right] B + A \left[B,C\right]$$</latex> | |
|
477 | <prompt_number>30</prompt_number> | |
|
478 | </output> | |
|
479 | </outputs> | |
|
480 | </codecell> | |
|
481 | <markdowncell> | |
|
482 | <source>Carry out and expand the commutators</source> | |
|
483 | </markdowncell> | |
|
484 | <codecell> | |
|
485 | <input>_.doit().expand() | |
|
486 | </input> | |
|
487 | <language>python</language> | |
|
488 | <prompt_number>31</prompt_number> | |
|
489 | <collapsed>0</collapsed> | |
|
490 | <outputs> | |
|
491 | <output> | |
|
492 | <output_type>pyout</output_type> | |
|
493 | <text>2 | |
|
494 | A⋅B⋅C + A⋅B - B⋅A⋅B - C⋅A⋅B</text> | |
|
495 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU84QUFBQVpDQVlBQUFEWnUzbTlBQUFBQkhOQ1NWUUlD | |
|
496 | QWdJZkFoa2lBQUFCYlJKUkVGVQplSnp0bTNsb0hVVWN4ejgyaHpIeXZHdmFSQnN4MFZvUFBHdGJQ | |
|
497 | R093aWhWRkJTc2VVQlFNRkd5MUZxMFhLdjVURmRPb3FNVzdGUThDClZnUVZFVk9Mb2tYVVJNRnFL | |
|
498 | R28xYXFnVlJJMHRhbHZqSDc5WnN0bnN2SjNaMmJmN3JQT0I1ZTB4TS92N3p2eDJkK1kzODhEajhY | |
|
499 | ZzgKdWRBRU5CZHRoS2Q0ZGl2YUFJOHhOY0R0d0RBd0ZiZ0F1QXo0cWtpalBCNVBNbGNEVjRhT0h3 | |
|
500 | VGVMOGdXVHhVd3FXZ0RQTVljQ0Z3ZgpPaDRBVHNLMzRmOFcyMjd6eFVBOThGS1pOSThBclpwcjI0 | |
|
501 | RWhsWDk5bVRKcWdLT0JPY0FzNEUvZ1ZlQk5kWDB4OHVYSm15VDk5Y0RmCm1tczI5YUlyWjNmZ0w3 | |
|
502 | WGZBeHdMZENSYTdVWVc3UmtsTHo5eUpTcy9MRnp2Wk9BWDRMR0VkUFhBTWNBbzhETFFDTlNxN1NC | |
|
503 | RTdDaHcKa3liL3VjQTNRQy9RQmJRQmh3RjNJQUtYQU8rbEVlQklrdjZ6Z05QTDVMZXBsK09RQnRm | |
|
504 | UkJud050SnVibnhyWDlveVNseCs1a3BVZgpWb1hlcDFYbVZ3elN6bE5wNThkY3F3TzJBRnVWd1FF | |
|
505 | bDRISGdONkJUVSs1eVZlNWRCamJVR0tTeG9aeitOdUJXZ3pKczZtVTU4cmFQCnNnL1N1RzBHOTh1 | |
|
506 | S05PMnBvOUorNUVyV2ZsaTQzbE9BbGNBL21IMjI3MVZHTk1WY213VDhCR3dER2tMbitvRE55RmRI | |
|
507 | eHlHcTNOTU0KYkxnZk9OSWduUWxKK2xjRCt4bVVZMU12SldCVkpFMGpjQit3cnpydUlKOFpBOXYy | |
|
508 | MUZGcFAzSWxhejhzWEc4dHNCWnh6cCtCVFFaNQoxZ05mYUs2ZHJReDhNblR1Wm5YdUNvT3loNUcz | |
|
509 | VUJJOWxHOEFVNUwwN3crc01Tekx0bDZlQVk1USsvWHErRkxnZkxVOVlYaGZWMnp0CmppTVBQM0ls | |
|
510 | U3orc0NyMDNJSDErZ00rUko3OGNqVWl3NWRHWWE2Y2kvZjllSlBnQ2NJSkt2d0d6eUtscG9DcXJo | |
|
511 | emRKLzN4Z21VRTUKdHZVQ2NBdXdWTzFmQTN3YzJYb003dXRLR3J2anFMUWZ1WksxSDFaY2IyMUNn | |
|
512 | YzNJWW9DZzc3OFpPQXJZR3hrVHhERUhlU00xTWViVQpKV1hBVnVBUzRKMVErZ1VxL1QxSTl5S0p4 | |
|
513 | UVpwc3NKRWZ6dnduVUZadHZVQ3NKR3hhUEpUYXN1Yk5IWkh5Y09QWEZsQWRuNVlGWHBmClVJVUdQ | |
|
514 | STk4dXFlWHlYTzNTbk1vRWx3SnR1T0JkY0M3U1BRc29GK2xuMkpqbUFGWmZIbE45SGNERnhtVVpW | |
|
515 | c3ZJRjhEazBCSEpVbGoKZDVROC9NaVZMUDJ3Y0wyZFRBeVlkS3NibkZFbTMxcmdTODIxWnBWL25U | |
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525 | V2NCRFpjcE5VeTlMTUp0dnJDUnA3SVppL01nVkZ6OHNSRy93NVMwaGI1MExrVVVCWFVpZlBoelc3 | |
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526 | Z0xPClZQc2R5SmpoZFdTTjdVS2s2em9YQ1lzdlE3b21BQWNBNXlIZDJFWEF3eEhqdGlNTER4NVFJ | |
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528 | WDdrU2hvL0xGUnZzTFN1eFBoSTJDandObVAvWUFIcERrUlhsUFFqRWJxNQo2SmZwN1FRK1F3YmRK | |
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529 | clFpYjc0QjlQL1FNYUVIcVhDVGJyT0wvckN1RnVCSHRWOUgrbnBwVWVkSERXelBHaGU3cThtUFhE | |
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530 | SHh3MTFKCmIxV3hBdm5Mbk1maitZOHhEYk0xMEI2UHgrUHhlRHdlajhmajJUWDVGN1NTV0xra1du | |
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531 | SzdBQUFBQUVsRlRrU3VRbUNDCg== | |
|
532 | </png> | |
|
533 | <latex>$$A B C + A \left(B\right)^{2} - B A B - C A B$$</latex> | |
|
534 | <prompt_number>31</prompt_number> | |
|
535 | </output> | |
|
536 | </outputs> | |
|
537 | </codecell> | |
|
538 | <markdowncell> | |
|
539 | <source>Take the dagger</source> | |
|
540 | </markdowncell> | |
|
541 | <codecell> | |
|
542 | <input>Dagger(_)</input> | |
|
543 | <language>python</language> | |
|
544 | <prompt_number>32</prompt_number> | |
|
545 | <collapsed>0</collapsed> | |
|
546 | <outputs> | |
|
547 | <output> | |
|
548 | <output_type>pyout</output_type> | |
|
549 | <text>2 | |
|
550 | † † † † † † ⎛ †⎞ † † † † | |
|
551 | - B ⋅A ⋅B - B ⋅A ⋅C + ⎝B ⎠ ⋅A + C ⋅B ⋅A</text> | |
|
552 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVd3QUFBQWFDQVlBQUFDVGsyYlJBQUFBQkhOQ1NWUUlD | |
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591 | enVERXFRNU9oCkROODZ1S0RzZG01RWRqaHNSanFpeXNoeEJMTHdNNWQ4VG96cWROZ2dIY05DMnBi | |
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592 | TlozMU1wWFdQc0ExNStJNHFxbmJQbzUyVXpwZGMKT01aczVNVFZRR1RmNmg1azVSTmtoSEFBOGpP | |
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593 | UWE0RlhER1djRDl5RC9MSldDN0kvOGJKWS9ERGdjV1NlcVFINEEvbDV3dWxSZWRxRApEclowQkR0 | |
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594 | WDZBcWNoMnluR28wc3FHMURIRFN2LzI2aU9vZWRSUm5hRE9SWHA2cm8yTjFYTytsSXZoUUkvQys0 | |
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595 | QXpuRUVNaVhZUGRBCklCQUlCQUtCUUNBUUNBUUNnVUFnRUFnRUFvRkFJQkFvaXY4QUxKRDhNYVAw | |
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596 | U3pRQUFBQUFTVVZPUks1Q1lJST0K | |
|
597 | </png> | |
|
598 | <latex>$$- B^{\dagger} A^{\dagger} B^{\dagger} - B^{\dagger} A^{\dagger} C^{\dagger} + \left(B^{\dagger}\right)^{2} A^{\dagger} + C^{\dagger} B^{\dagger} A^{\dagger}$$</latex> | |
|
599 | <prompt_number>32</prompt_number> | |
|
600 | </output> | |
|
601 | </outputs> | |
|
602 | </codecell> | |
|
603 | </cells> | |
|
604 | </worksheet> | |
|
605 | </worksheets> | |
|
606 | </notebook> | |
|
1 | { | |
|
2 | "nbformat": 2, | |
|
3 | "name": "basic_quantum", | |
|
4 | "worksheets": [ | |
|
5 | { | |
|
6 | "cells": [ | |
|
7 | { | |
|
8 | "source": "<h1>Basic Symbolic Quantum Mechanics</h1>", | |
|
9 | "cell_type": "markdown" | |
|
10 | }, | |
|
11 | { | |
|
12 | "cell_type": "code", | |
|
13 | "language": "python", | |
|
14 | "outputs": [], | |
|
15 | "collapsed": true, | |
|
16 | "prompt_number": 18, | |
|
17 | "input": "%load_ext sympyprinting" | |
|
18 | }, | |
|
19 | { | |
|
20 | "cell_type": "code", | |
|
21 | "language": "python", | |
|
22 | "outputs": [], | |
|
23 | "collapsed": true, | |
|
24 | "prompt_number": 19, | |
|
25 | "input": "from sympy import sqrt, symbols, Rational\nfrom sympy import expand, Eq, Symbol, simplify, exp, sin\nfrom sympy.physics.quantum import *\nfrom sympy.physics.quantum.qubit import *\nfrom sympy.physics.quantum.gate import *\nfrom sympy.physics.quantum.grover import *\nfrom sympy.physics.quantum.qft import QFT, IQFT, Fourier\nfrom sympy.physics.quantum.circuitplot import circuit_plot" | |
|
26 | }, | |
|
27 | { | |
|
28 | "source": "<h2>Bras and Kets</h2>", | |
|
29 | "cell_type": "markdown" | |
|
30 | }, | |
|
31 | { | |
|
32 | "source": "Create symbolic states", | |
|
33 | "cell_type": "markdown" | |
|
34 | }, | |
|
35 | { | |
|
36 | "cell_type": "code", | |
|
37 | "language": "python", | |
|
38 | "outputs": [], | |
|
39 | "collapsed": true, | |
|
40 | "prompt_number": 20, | |
|
41 | "input": "phi, psi = Ket('phi'), Ket('psi')\nalpha, beta = symbols('alpha beta', complex=True)" | |
|
42 | }, | |
|
43 | { | |
|
44 | "source": "Create a superposition", | |
|
45 | "cell_type": "markdown" | |
|
46 | }, | |
|
47 | { | |
|
48 | "cell_type": "code", | |
|
49 | "language": "python", | |
|
50 | "outputs": [ | |
|
51 | { | |
|
52 | "output_type": "pyout", | |
|
53 | "latex": "$$\\alpha {\\left|\\psi\\right\\rangle } + \\beta {\\left|\\phi\\right\\rangle }$$", | |
|
54 | "prompt_number": 21, | |
|
55 | "png": "iVBORw0KGgoAAAANSUhEUgAAAF8AAAAXCAYAAABtR5P0AAAABHNCSVQICAgIfAhkiAAABHBJREFU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\nAAAAAElFTkSuQmCC\n", | |
|
56 | "text": "\u03b1\u22c5\u2758\u03c8\u27e9 + \u03b2\u22c5\u2758\u03c6\u27e9" | |
|
57 | } | |
|
58 | ], | |
|
59 | "collapsed": false, | |
|
60 | "prompt_number": 21, | |
|
61 | "input": "state = alpha*psi + beta*phi; state\n" | |
|
62 | }, | |
|
63 | { | |
|
64 | "source": "Dagger the superposition and multiply the original", | |
|
65 | "cell_type": "markdown" | |
|
66 | }, | |
|
67 | { | |
|
68 | "cell_type": "code", | |
|
69 | "language": "python", | |
|
70 | "outputs": [ | |
|
71 | { | |
|
72 | "output_type": "pyout", | |
|
73 | "latex": "$$\\left(\\overline{\\alpha} {\\left\\langle \\psi\\right|} + \\overline{\\beta} {\\left\\langle \\phi\\right|}\\right) \\left(\\alpha {\\left|\\psi\\right\\rangle } + \\beta {\\left|\\phi\\right\\rangle }\\right)$$", | |
|
74 | "prompt_number": 22, | |
|
75 | "png": "iVBORw0KGgoAAAANSUhEUgAAANoAAAAaCAYAAADR9UJvAAAABHNCSVQICAgIfAhkiAAACHpJREFU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\n2Kc62Q7y4E4AAAAASUVORK5CYII=\n", | |
|
76 | "text": "\u239b\u23bd \u23bd \u239e \n\u239d\u03b1\u22c5\u27e8\u03c8\u2758 + \u03b2\u22c5\u27e8\u03c6\u2758\u23a0\u22c5(\u03b1\u22c5\u2758\u03c8\u27e9 + \u03b2\u22c5\u2758\u03c6\u27e9)" | |
|
77 | } | |
|
78 | ], | |
|
79 | "collapsed": false, | |
|
80 | "prompt_number": 22, | |
|
81 | "input": "ip = Dagger(state)*state; ip\n" | |
|
82 | }, | |
|
83 | { | |
|
84 | "source": "Distribute", | |
|
85 | "cell_type": "markdown" | |
|
86 | }, | |
|
87 | { | |
|
88 | "cell_type": "code", | |
|
89 | "language": "python", | |
|
90 | "outputs": [ | |
|
91 | { | |
|
92 | "output_type": "pyout", | |
|
93 | "latex": "$$\\alpha \\overline{\\alpha} \\left\\langle \\psi \\right. {\\left|\\psi\\right\\rangle } + \\alpha \\overline{\\beta} \\left\\langle \\phi \\right. {\\left|\\psi\\right\\rangle } + \\beta \\overline{\\alpha} \\left\\langle \\psi \\right. {\\left|\\phi\\right\\rangle } + \\beta \\overline{\\beta} \\left\\langle \\phi \\right. {\\left|\\phi\\right\\rangle }$$", | |
|
94 | "prompt_number": 23, | |
|
95 | "png": "iVBORw0KGgoAAAANSUhEUgAAAU8AAAAaCAYAAAA3+d4CAAAABHNCSVQICAgIfAhkiAAAB9VJREFU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\nVapUevofz4SOwufiq5gAAAAASUVORK5CYII=\n", | |
|
96 | "text": "\u23bd \u23bd \u23bd \u23bd \n\u03b1\u22c5\u03b1\u22c5\u27e8\u03c8\u2758\u03c8\u27e9 + \u03b1\u22c5\u03b2\u22c5\u27e8\u03c6\u2758\u03c8\u27e9 + \u03b2\u22c5\u03b1\u22c5\u27e8\u03c8\u2758\u03c6\u27e9 + \u03b2\u22c5\u03b2\u22c5\u27e8\u03c6\u2758\u03c6\u27e9" | |
|
97 | } | |
|
98 | ], | |
|
99 | "collapsed": false, | |
|
100 | "prompt_number": 23, | |
|
101 | "input": "qapply(expand(ip))\n" | |
|
102 | }, | |
|
103 | { | |
|
104 | "source": "<h2>Operators</h2>", | |
|
105 | "cell_type": "markdown" | |
|
106 | }, | |
|
107 | { | |
|
108 | "source": "Create symbolic operators", | |
|
109 | "cell_type": "markdown" | |
|
110 | }, | |
|
111 | { | |
|
112 | "cell_type": "code", | |
|
113 | "language": "python", | |
|
114 | "outputs": [], | |
|
115 | "collapsed": true, | |
|
116 | "prompt_number": 24, | |
|
117 | "input": "A = Operator('A')\nB = Operator('B')\nC = Operator('C')" | |
|
118 | }, | |
|
119 | { | |
|
120 | "source": "Test commutativity", | |
|
121 | "cell_type": "markdown" | |
|
122 | }, | |
|
123 | { | |
|
124 | "cell_type": "code", | |
|
125 | "language": "python", | |
|
126 | "outputs": [ | |
|
127 | { | |
|
128 | "output_type": "pyout", | |
|
129 | "prompt_number": 25, | |
|
130 | "text": "False" | |
|
131 | } | |
|
132 | ], | |
|
133 | "collapsed": false, | |
|
134 | "prompt_number": 25, | |
|
135 | "input": "A*B == B*A\n" | |
|
136 | }, | |
|
137 | { | |
|
138 | "source": "Distribute A+B squared", | |
|
139 | "cell_type": "markdown" | |
|
140 | }, | |
|
141 | { | |
|
142 | "cell_type": "code", | |
|
143 | "language": "python", | |
|
144 | "outputs": [ | |
|
145 | { | |
|
146 | "output_type": "pyout", | |
|
147 | "latex": "$$A B + \\left(A\\right)^{2} + B A + \\left(B\\right)^{2}$$", | |
|
148 | "prompt_number": 26, | |
|
149 | "png": "iVBORw0KGgoAAAANSUhEUgAAAMAAAAAZCAYAAABn7SHgAAAABHNCSVQICAgIfAhkiAAABONJREFU\neJzt2luoFVUcx/FP6jnZsdNNKzVFKLsX1EORpGYIKRkFRgRJD70oFBRFmlQv0ksPQUVYPYXRTcTq\nISqKouhCD0YSdCUKtItd0JJSuunpYe3N2U4ze681M/scOcwXDps9a83M//f/nTXrv9ZsGhoaGhI5\nEmdgyngH0tCTrl5NHttYJgQrsBLHYCOmYtu4RtRQRONVzQzgpdYnnI4RXDhuETUU0XjVB07An1jQ\ncewPrBmfcBq6EOVVag27EoPY3KXPRswraPsHO1vnf5B471QG8XdC/zxt2WvswbH4q/V9Po7Sfy1F\n9CPXMR7XTZFXKfr67tWJrYs+1qPfIM4XppvnMSQMtCmYg4dbbevKBhLBLKxO6F+k7V6jU2geW7E+\nLbRaqTvXsR7XSTevUvT13asnWjd7MaLvilbf63PaBvAz9gkCY0hZrE8SDEw5p0jbmXi84Jy1uCXh\nHt2oshlRZ65TPC6ibq9i9ZXyalJkoJcK08sIZkb0X9z6fDun7UDrOkdE3n8pbovo1+YmvN66Twzd\ntH0pJPi8zPFV+EyYogewMCG+LKn6stSV61SP8+iHV7H6dijhVcw/4BTch7uxW/wA+Bw/5bQtxUl4\nVlik9GJA/EwBNwir/xhitL3g0KfHdThHSPpVguFHJ8SXJVVfljpyXcbjPPrhVYq+vnh1u9GV8yfY\n36P/kPAkeTSnbaFQY24RXlDEsFx87XY83ozsS5y2IWGxBdPxPj7M/M1OuGeWFH15sdWR61SPi6jb\nq1R9yV712gWajauFkQY/4lxhdb234JwFwpPgZKPJGG4FvA/X4q0e9y3LqdgV2TdW234cFJ5su4VS\n4XChjlyX8bgOYrxK1ZfsVa8B8IAwLR5sfW9PQzMVJ6dds60VRmibrXgQG/AVvusVXAmmC4mJIUXb\nTmG3YkfVAGumjlyX8bgOYrwqoy/Jq25rgKXCXmvnvmlncopYhC/wDX7r+Nsu1HyL8HRMcCXYi7kR\n/VK1zcLv1ULrC1VzXdbjOojxqoy+JK+KZoBBYdW8HQ91HL+44yZ5DOASPFPQ/oMgYLEwlXUGukxY\ntGSZI7zVm5/T9h42dXzfKfzwqRup2gYxA7/2uG4v6tDXSZVcU95jxsarMvqSvSoaAHcKK+stmePf\nCnVZ0dPhIuFt27sF7WfjOGFUZw3ZJtRtWRYIiXoypy1bQ+4S6sBub4FTtZ0m1JkjBdeLpQ59nVTJ\nNeU9Zmy8KqMv2au8ATAPlwuj/GCmbWbmM0u7ZisK+sbW51M5bXscWue1mYFpwgo+hs3C1Ji3w1BG\n2xLFT6EU6tLXpkquq3jM2HhVRt8SFb0axjvCW7U85guja1NB+yuKF1yrW+c+JyQpltRtwiG85v+v\nxctom4FXhX3kflF2G7Rsrqt63I26vCJdXymv2jPAMO7BNThL2BPe4NBdgDXCCCM8PdbhZXyNm4VV\n/RXCNtp6/NsR2JWC2FvxSEqAJdgv7GqsFmrcKtpWCdqqlj91MVX5XFfJw6e1Kwlkvaqi7w4lvGqP\nlmFc1nF8BG8Y/SUdYbrMjtSP8Esr2KKRdwAfC4uWMizHBbg/8bxT8L1q2iYLNXE/SdE3oHyuq+Qh\n1ruqXlXRN1f/vRoXluGu8Q6ij0wkfRNJy2HDNP3fkx5PJpK+iaSloaGhoaGhoWGi8h+sZcLwhv0Q\nuwAAAABJRU5ErkJggg==\n", | |
|
150 | "text": "2 2\nA\u22c5B + A + B\u22c5A + B" | |
|
151 | } | |
|
152 | ], | |
|
153 | "collapsed": false, | |
|
154 | "prompt_number": 26, | |
|
155 | "input": "expand((A+B)**2)" | |
|
156 | }, | |
|
157 | { | |
|
158 | "source": "Create a commutator", | |
|
159 | "cell_type": "markdown" | |
|
160 | }, | |
|
161 | { | |
|
162 | "cell_type": "code", | |
|
163 | "language": "python", | |
|
164 | "outputs": [ | |
|
165 | { | |
|
166 | "output_type": "pyout", | |
|
167 | "latex": "$$\\left[A,B\\right]$$", | |
|
168 | "prompt_number": 27, | |
|
169 | "png": "iVBORw0KGgoAAAANSUhEUgAAAC4AAAAWCAYAAAC/kK73AAAABHNCSVQICAgIfAhkiAAAAkhJREFU\nSInt182LTWEcB/DPvOWlJpTGYLKwUFMzzYZmMzNJiWl2/gHFQlZm4yUbY4WtQsqUFRYiSoQ4aIpS\n8rKQRORdSZEMM1g8z+XOnXPmnntnZkG+dXvO/X3P7/v73t9znuc8l78UNSXfL+ArLuFAmdw9qMO2\nKuoOYC068QND+BK5RizB2Xjf+xjvx0o0oK9UMMlZuB3fcawK0wU0CGZPpXBtUf8eaku4REowD2qw\nD/VoriK/gOWYhYsp3ANcFhrUlpZcjfH1sdhnkzPeE8erGXwrRvE8j1hShp8XC9XjMT7kEc3AObzK\n4NbhpzCzpUjSElKDRTiEVfF6KIrPKOcwBbX4iOMl8dnYHLntxm8evz3WV1BshdDxK/H72zg241kF\nOtCBOZiLvTE2E6uFXW0NblUimGTEa3FN2KYKOCh0vLOSAhFbYu6yFG4jvmHDRB7zLs5Nwt5evFCK\nO14pevAOj1K4QbwWGtOYJZDnUWnCzlikqyjeEsdqjHfj+gT8J2F2l+JuHsEkJXYUvSnxPmG6d+UR\nLkJrzOvP4BdG/qkJFme5R6VLeIOdT+FexDGt44sm0Czs3zcy+IE4HhF+QC4kRdfteIMFGfcujsKn\nS+IdwvljMCPvpPDyqiuJN2E/RrAjp8cxwfnCGWE0Gnvoz/NcwAm8jPyw0L3CwacFT3Df2Kk+g5sx\nZyReJ/FzW3jNHzZ2HVVkfKqwewq1ipFQ3VklL6ZTe9rEe3FnmrQx3viI8Gcia6vKq9kt/Zw9GWwV\nvA1Pse5//Nv4Bfpvd5tNLRluAAAAAElFTkSuQmCC\n", | |
|
170 | "text": "[A,B]" | |
|
171 | } | |
|
172 | ], | |
|
173 | "collapsed": false, | |
|
174 | "prompt_number": 27, | |
|
175 | "input": "comm = Commutator(A,B); comm\n" | |
|
176 | }, | |
|
177 | { | |
|
178 | "source": "Carry out the commutator", | |
|
179 | "cell_type": "markdown" | |
|
180 | }, | |
|
181 | { | |
|
182 | "cell_type": "code", | |
|
183 | "language": "python", | |
|
184 | "outputs": [ | |
|
185 | { | |
|
186 | "output_type": "pyout", | |
|
187 | "latex": "$$A B - B A$$", | |
|
188 | "prompt_number": 28, | |
|
189 | "png": "iVBORw0KGgoAAAANSUhEUgAAAE4AAAASCAYAAAD15uiRAAAABHNCSVQICAgIfAhkiAAAAi5JREFU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\nrkJggg==\n", | |
|
190 | "text": "A\u22c5B - B\u22c5A" | |
|
191 | } | |
|
192 | ], | |
|
193 | "collapsed": false, | |
|
194 | "prompt_number": 28, | |
|
195 | "input": "comm.doit()" | |
|
196 | }, | |
|
197 | { | |
|
198 | "source": "Create a more fancy commutator", | |
|
199 | "cell_type": "markdown" | |
|
200 | }, | |
|
201 | { | |
|
202 | "cell_type": "code", | |
|
203 | "language": "python", | |
|
204 | "outputs": [ | |
|
205 | { | |
|
206 | "output_type": "pyout", | |
|
207 | "latex": "$$\\left[A B,B + C\\right]$$", | |
|
208 | "prompt_number": 29, | |
|
209 | "png": "iVBORw0KGgoAAAANSUhEUgAAAGAAAAAWCAYAAAA/45nkAAAABHNCSVQICAgIfAhkiAAAA3tJREFU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\n", | |
|
210 | "text": "[A\u22c5B,B + C]" | |
|
211 | } | |
|
212 | ], | |
|
213 | "collapsed": false, | |
|
214 | "prompt_number": 29, | |
|
215 | "input": "comm = Commutator(A*B,B+C); comm" | |
|
216 | }, | |
|
217 | { | |
|
218 | "source": "Expand the commutator", | |
|
219 | "cell_type": "markdown" | |
|
220 | }, | |
|
221 | { | |
|
222 | "cell_type": "code", | |
|
223 | "language": "python", | |
|
224 | "outputs": [ | |
|
225 | { | |
|
226 | "output_type": "pyout", | |
|
227 | "latex": "$$\\left[A,B\\right] B + \\left[A,C\\right] B + A \\left[B,C\\right]$$", | |
|
228 | "prompt_number": 30, | |
|
229 | "png": "iVBORw0KGgoAAAANSUhEUgAAAN8AAAAWCAYAAABAHklQAAAABHNCSVQICAgIfAhkiAAABOVJREFU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\nEBHmAAAAAElFTkSuQmCC\n", | |
|
230 | "text": "[A,B]\u22c5B + [A,C]\u22c5B + A\u22c5[B,C]" | |
|
231 | } | |
|
232 | ], | |
|
233 | "collapsed": false, | |
|
234 | "prompt_number": 30, | |
|
235 | "input": "comm.expand(commutator=True)" | |
|
236 | }, | |
|
237 | { | |
|
238 | "source": "Carry out and expand the commutators", | |
|
239 | "cell_type": "markdown" | |
|
240 | }, | |
|
241 | { | |
|
242 | "cell_type": "code", | |
|
243 | "language": "python", | |
|
244 | "outputs": [ | |
|
245 | { | |
|
246 | "output_type": "pyout", | |
|
247 | "latex": "$$A B C + A \\left(B\\right)^{2} - B A B - C A B$$", | |
|
248 | "prompt_number": 31, | |
|
249 | "png": "iVBORw0KGgoAAAANSUhEUgAAAO8AAAAZCAYAAADZu3m9AAAABHNCSVQICAgIfAhkiAAABbRJREFU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\n", | |
|
250 | "text": "2 \nA\u22c5B\u22c5C + A\u22c5B - B\u22c5A\u22c5B - C\u22c5A\u22c5B" | |
|
251 | } | |
|
252 | ], | |
|
253 | "collapsed": false, | |
|
254 | "prompt_number": 31, | |
|
255 | "input": "_.doit().expand()\n" | |
|
256 | }, | |
|
257 | { | |
|
258 | "source": "Take the dagger", | |
|
259 | "cell_type": "markdown" | |
|
260 | }, | |
|
261 | { | |
|
262 | "cell_type": "code", | |
|
263 | "language": "python", | |
|
264 | "outputs": [ | |
|
265 | { | |
|
266 | "output_type": "pyout", | |
|
267 | "latex": "$$- B^{\\dagger} A^{\\dagger} B^{\\dagger} - B^{\\dagger} A^{\\dagger} C^{\\dagger} + \\left(B^{\\dagger}\\right)^{2} A^{\\dagger} + C^{\\dagger} B^{\\dagger} A^{\\dagger}$$", | |
|
268 | "prompt_number": 32, | |
|
269 | "png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAAAaCAYAAACTk2bRAAAABHNCSVQICAgIfAhkiAAABwZJREFU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\n", | |
|
270 | "text": "2 \n \u2020 \u2020 \u2020 \u2020 \u2020 \u2020 \u239b \u2020\u239e \u2020 \u2020 \u2020 \u2020\n- B \u22c5A \u22c5B - B \u22c5A \u22c5C + \u239dB \u23a0 \u22c5A + C \u22c5B \u22c5A" | |
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271 | } | |
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272 | ], | |
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273 | "collapsed": false, | |
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274 | "prompt_number": 32, | |
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275 | "input": "Dagger(_)" | |
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276 | } | |
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277 | ] | |
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278 | } | |
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279 | ] | |
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280 | } No newline at end of file |
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1 | NO CONTENT: modified file | |
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1 | NO CONTENT: modified file | |
The requested commit or file is too big and content was truncated. Show full diff |
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1 | NO CONTENT: modified file | |
The requested commit or file is too big and content was truncated. Show full diff |
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1 | NO CONTENT: modified file | |
The requested commit or file is too big and content was truncated. Show full diff |
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1 | NO CONTENT: modified file | |
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1 | NO CONTENT: modified file | |
The requested commit or file is too big and content was truncated. Show full diff |
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1 | NO CONTENT: modified file | |
The requested commit or file is too big and content was truncated. Show full diff |
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1 | NO CONTENT: modified file | |
The requested commit or file is too big and content was truncated. Show full diff |
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