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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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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 | |
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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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194 | Ni8vMzZGS3hLc2xRaG5vVU1SRVJFNE96dmo1dWJXOXZYNDQ0OHJYWmJKCkZSWVdjc2NkZHhBVUZJ | |
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195 | U2ZueC9aMmRsODlkVlhlbTByU1ZLNzN3dUNvVVE0Q3gyU0pJbXZ2LzZhbXBxYXRxODMzbmpENFAz | |
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196 | SXNveTEKakhWYXUzWXRvMGFOb20vZnZxeGR1NVpUcDA3eDV6Ly9tWTgvL3RqZ2ZWbkx6eXhZSmhI | |
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197 | T1FyZjg4aU43ZVhrNUtwV0sxdFpXQUxLegpzM25oaFJjWVBYbzBIaDRlbEpXVmNlVElFUjUvL0hI | |
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198 | Q3dzS1lQWHMyUjQ4ZWJkcytPenVidi8zdGIrVG01aElTRXNMZi8vNTNybDY5CjJ2YjQ4ZVBIK2VN | |
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199 | Zi8waDRlRGkvKzkzdk9IandZTnRqUzVjdVpmRGd3WGg2ZWpKcDBxUmJ6bkx6OC9NSkNRbGgwYUpG | |
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200 | OU9uVGgvVDAKZE5hc1dkUGh6L1hZWTQ4eGJkbzAzbnJyTGVMaTRuQnljbUwwNk5Fc1c3YXNyWTdj | |
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201 | M0Z4OGZYMkpqWTNscFpkZW9yYTJ0dWNIVkJCKwpRWVN6MEttT3p2NzArY2crZi81OFpzK2V6YVZM | |
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202 | bHdnTkRXWDA2TkVFQkFSUVhGeE1VRkFRbzBlUHZ1WDViNzc1Sms4KytTUUZCUVZzCjJMQ0J2Lzcx | |
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203 | cndDMHRMUXdiTmd3Qmc4ZXpQNzkrOG5JeU9DT08rNW8yeTRnSUlEVnExZHo0Y0lGcGs2ZHlyMzMz | |
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204 | a3RkWFYzYjR4VVYKRlpTVWxGQllXTWhERHozRTczLy8rM2JyUFgvK1BNZVBIK2ZPTysvczlPZDY3 | |
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205 | cm5uT0gvK1BNdVdMZU9UVHo1aHhZb1ZYUjRMUVRDVQpDR2VoUTdJc00yblNKTHk4dk5xKy92V3Zm | |
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206 | N1U5MWhsSmtoZ3paZ3pqeDQ5SG85R3dmLzkrbXBxYWVPNjU1L0R4OGVGUGYvb1QxNjVkCm83aTR1 | |
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207 | RzJiVWFOR2taZVhSOSsrZmZuakgvL0kxMTkvRGNEMzMzOVBYRndjRHo3NElHNXVianp3d0FQNCt2 | |
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208 | cXlZOGNPQU1hTkcwZnYKM3IxeGNIQmc2dFNwSkNVbDNYSjIzTnJheXZQUFA0K2ZueDhQUHZnZ1ZW | |
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379 | YjhkaWhkaWNXUjFUNGNEQi9CY1RleFdvaytKSWF6aklGY0ZzdEZtWlN6N0lEcgpwUUY4WE5xWGhs | |
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387 | MDZlemV2VnEvUDM5MmJmdmVvK0ptcG9hN3J2dlBvcUxpMGxNVEdUWnNtVzR1cm9DOE1ZYgpiekJ2 | |
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388 | M2p3Y0hCeFl0R2dSdzRkM3NCeDVlMkpUSUdPcitIM2ZwTkV0alUxaHZ0UnB4TUNiempnd2hNK0k0 | |
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389 | N3lZRDhOa2RMSWE3OHNECldIRW9rcnBtK3puTzdXWGdzODgreTlkZmY0MlRreE9abVptOCtPS0xP | |
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397 | b0tpcHFlNGRwbDM4WS9Pb2lhSzFnClFJd1p0RGoyWjN0RXRGaXRwQk02d3RsTUpydXdncjc2Vmlx | |
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399 | bjdBTTBEdUJZVGZiK2FyS0hkS3NVbTlMZ1BwejhNRGVheEREc0RxaG9aQ1NMQ1JmellaaUlzK3lB | |
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400 | N2tJVQo3eDNxamF6VXg3YmlmQ2pKTi9wdWZ5S28zZnNQNS8vSWtmd2ZBVEMwOGVUNTU1L0h6YzJO | |
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401 | dSsrK3U4dm5kaG5PSlNVbFBQZmNjeHc4CmVKQ3lzakpLU2twWXRHZ1JiNzMxbHQ0RkpTY25VMXBh | |
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402 | U2tKQ0FxV2xwU1FuSndPUW1wcktoZzBiMnA1MzZOQ2h0c2QrYVU0TWNIY0sKOU5taTkrdmFzbXJm | |
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403 | Y1JRRU40dlZTanFneFpjaXhyQWQrNTA0eDlUQzY4TDU4a0FVUDlZcjNIeVJrSDM5NjRaMzV4cGx0 | |
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404 | MTl3Wi9zUApaUC84ZGNQY3UvVGEzN3Z2dnN1MzMzN0xkOTk5cDlmenV6eWQrTnZmL3NaTEw3M1V0 | |
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405 | Z0ozZkh5OFh1MGxOMHROVFdYSmtpWFUxOWV6ClpNa1MwdExTQUVoSlNlSGJiNy9sMUtsVDVPZm5v | |
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406 | MUtwY0hQcm9HTjYwbERvTFlKWlJ1Sjg4RjBVQkY4VDdjc2RjR0FJSHpCSkJMT0oKQkxhNFUzczBr | |
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407 | d1U3azVRUFppdXhkdTFhL3ZHUGY3QnExU3E5V3lDNlBITStkKzRjMGRIUmJiY2JHeHM3bldkajJy | |
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408 | UnBGQlFVY1BIaQpSVUpEUTNuKytlZVpPWE1tOTkxM0h3TUdEQ0F4TVpHWFhub0pnSUNBQUdiT25F | |
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409 | bHViaTVhclphRkN4ZDJYRWptZmhGR1FIbllQZXp6CnVvdzRHTGRUNDhnNXh2T0ZXTWZQSkJ4bERX | |
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410 | NFhCL0grd2I2aW1hZ1ROekt3c3JLUzBOQlE1czZkeTRzdnZraFRVeE1qUjQ0RVlPalEKb1YyMlBu | |
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411 | VFpsVzd1M0xuRXg4Y3paODRjVnE1Y3lieDU4L0R3OE9DLy8vdS9qZmZUZEVHU0pPUVNzNzJjeGJv | |
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412 | UU1KbHRnVmVWTHNNaQpPZEtIMVdSeFZLeDZiUkxoRFNGOGZTQ0dNMWM3NzV0ckVZelVsVzZzL0xs | |
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413 | ZXoxMGozV1dTTlFTN2ZQdWJQWHMyeGNYRnRMUzBNSGJzCldEdzlQWG5zc2NlTVhvalF1VHJQSExZ | |
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414 | RmlBdC83V2xoQlBNWklZTFpCUHhiWFdrNlBwd0ZSU25XRWN3MnBNc3o1elZyMWpCMjdOaGIKN2x1 | |
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415 | d1lBR1BQUEtJU1F1N21iMmZPVGM3UmJNdU1wUm1sYmo0ZHpNSHZOakxXQXJFQXF0R3A1WFZlRjhl | |
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416 | eUxLRC9heHYzVDU3T1hQKwozLy85MzF1dUxyNzg4c3ZXTVgyb2paQTFBV3p1M1VjRTh5ODQwb2RQ | |
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417 | K1pVSVpoTUlid3hpWDhrb2x1NGZZSDNCYkVPNnZDQzRhdFVxCkpreVlnRmFyWmUzYXRSdzZkTWh5 | |
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419 | enI2K3ZxeGF0WW9SSTBZd1pNZ1FQdnZzczA0blBoS001MFRZUk00NFgxYTZEQXVUeFp2MHAxVUVz | |
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420 | OUU0eUNyOHF3Znc0WUgrMUxlSQpTZTh0UllmaDdPcnFla3NJTnpVMVVWWlcxaGJPVjY2SXN6bFRx | |
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421 | Z3lZeEFGUEVjdzNxMkVDSHhLTTZDWm5QR0ZOQWVTWHhyR3EybFhwClVvUmY2RENjcldJeFZ4dFY3 | |
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422 | NUhGMW9DcmlCQzZUb1VEWlV4bURWNWRQMW5RaTVmc1JPM3BXQmFXaXpjN1M5VmhPQjg2ZElpQkF3 | |
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423 | ZTIKTzRVblFHSmlvc21Lc21mTlRsSDhFT1lzaG1YL1RJTWJPNWhFb1ppMHlDalVza1JRVFQ4KzJq | |
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424 | K1FXanVhWTlrYWRmamIrZWMvLzhuaQp4WXQ1NnFtbjJtMWovdUdISDB4YW1EMlNOUUZzaVlpa1dh | |
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425 | ejNCNENPUUZZemxtT2kvN0pSaEY3elpkdWhlTDYrN0s1MEtZSWVPdTNuCjNOcmF5clp0MjBoUFR6 | |
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426 | ZG5UYmV4aDM3T3N1UklTV1FlcDUycmxTN0ZJamdTeVlka2MwR3NnTjFqN3JLTzVuT3hmSDQ4Qkx0 | |
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427 | b3dyQ1IKZnM2ZGZxNVJxVlE4K3VpamxKVFllREphZ0xMUU96a3QxdndEd0lFa0ZwQklnK2lSMFNN | |
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428 | cUdVSnErL0x4Z2NGVU5Ua29YWTVnb0M3LwordlB5OG5qampUZEU3d3dUcXZTZnlINHZFY3dBcmVR | |
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429 | d1h3UnpqL1ZxOXViSDBsd1dGc2VKWUxaU1hRN2ZkblYxcGE2dURwVksxYllnCm9ibTcwdGx5czBh | |
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430 | OVJ5YnJ3M1ZnOTMzSEphcklZMFVIRTV3TCtuR1Z0YWgrak9iam8rSFlSUk5HZSt5aFdRTkVsenBU | |
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431 | YW5ZY1JFR28KaTkzM3pGQ2g0emlUK1ZhczdkZHRrZ3hoZFJGOGZpQ0tDdzA2cGNzUmpLREx6NDd0 | |
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432 | cmVmWDZScC9nbDVralQ5YmV2ZW5TVzNmd2V5QQpCNFhjSTRLNUIzeGJYYWc2a3MyQ1hZa2ltRzFJ | |
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433 | aDJmTzlmWDExTlhWY2VIQ0JTNWR1dFIyZjBWRmhYNHJaQXNka2lVZEpSRlpWR3Z0CnUyZUdqbUJX | |
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434 | Y1FkbG9xdGN0MFhVaC9GaFNSeFhyb2wyWlZ2VFlUZ3ZYTGlRMTE5L25YUG56cEdVbE5SMmYzaDRP | |
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435 | RTg4OFlSWmlyTlYKNWFHVE9PMWkzME96ZFF6Z0F6SzRKTHJLZFl1VHJFRTZGOC9ieDhPVUxrVXdr | |
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436 | UzR2Q0w3eHhoczgvdmpqNXFxblhiWjBRZkNpLzBTMgpCTm4zSUJNTnlTd21ua2JSSTZOYmVqVjdz | |
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437 | ZkZBTWtmRWZCanRzNUVMZ2gzK2QrellzWVB6NTgrM0JmTTMzM3pEL2ZmZno5dHZ2MDFkClhaM1JD | |
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438 | N0VIRGU0WmJBbTA3MlBYekFqZUpFRUVjemRJTW9SVTkrZmRiVmtpbU8xQWgvOGh2Ly85NzlGcXI3 | |
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439 | Y0ZIanQyakljZWVvZ1IKSTBhd1o4OGUvdnpuUDV1dFFGdlI0amlJL0RCWE8rNHlwK0lpazNpSFNP | |
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440 | eTJpMWNQZU1pT05KNFl6dUk5MFRUTDRvM04waTFmdnB5cwpyQ3lpb3FKNDU1MTN1cldQRHR1Y1cx | |
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441 | cGE4UEh4QWE0M2JUejQ0SU04K09DRDNIZmZmWW9QNTdZMnNzYnY1NTRaOXRtY29jYVJRMHptCk84 | |
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442 | U2NEdDBSM2hUSUZ5VkovQ1I2WWxpRjZ1cHE1czZkeS9idDIzRndjQ0EzTjVlNzc3NGJEdy9EZWlS | |
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443 | MStCYnM1ZVhWMW55eGN1VksKcGt5WkFvQkdveEY5bncwZ1MxcjJSR1JUcGJYUFlIYkFpeTNjSzRL | |
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444 | NUd4eGtGVDRYNGxpd2ZhZ0laaXV5ZGV0V0VoTVQ4Zkx5d3RYVgpsWnljSExadDIyYndmam84Yzc3 | |
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445 | dnZ2dElTMHZEMzkrZnZuMzdrcHljRE1EUm8wZng5UFRzZnVWMjVtVElKRTY1Mk9mUWJCMGhmTWxv | |
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446 | ClRpSzZlUm5LdjlXTnZhVXBGRjhVL2IrdFRXWm1Kbi80d3g4b0t5dkQwZEdSYjc3NUJwMU94NWd4 | |
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448 | RCtKZDBxa1dYZVVNRm40MWd2ZjN4RkluNWx0VzFJOFZvZTNlWDdObApGN1ZiMjUvbkhzREZ4WVhY | |
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449 | WG51TlJ4OTlsT3JxYW1KaVluQjBkRFQ0OWJ2c1NtY0pyTEVyWFlQN2NOWkZPTm5sQlVBMXFTd21s | |
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450 | aWJSCkk4TWd6cklEMTA0bnNxcThsOUtsV0RjamRhV2pRTTk5ZFBGNlU2ZE81WTkvL0tQQkM1U0l0 | |
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451 | MllUYUhFY1FINllPMGpOU3BkaWRrMk0KWmdrUmlCNFpoZ2xwOW1IRHZtVEthc1NLTDdhZ29xSUNm | |
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452 | MzkvTm16WXdMNTkrN3ExY3BRSVp5T1ROYjVzN1QySUpyVjk5V2VXVVBFVAprL2czZmtxWFlsVlVN | |
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453 | Z1JXRFdMSnZnRzBpRThhTm1QS2xDbFVWRlRnNXViRzBxVkx1N1VQRWM1R0pFc083QTNQNGJLZHpa | |
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454 | bWh4b2tEClRDWWZONlZMc1NyZXNoT25qaVd6K3J5djBxVUlSclp4NDhZZTcwT0VzeEdkREpuTVNW | |
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455 | Zjd1Z0NveFljZm1NQStETC9nWWMvQ0czdngKU1hFQ2w1ckVwRTlDKzBRNEc4bGx2enk3NjVtaEk0 | |
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456 | elBHY2taMFZWT2IxcFpqZE5Qc1N3NEVvRm9seGM2SThMWkNCcmMwOWtVMUtoMApHV2FsSTVxbHBI | |
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457 | RkZkSlhUVzJDTEJ6c09Kck5mckg0dDZFR0VjdysxT1BhbklNekRybnBtcUJqR20wU0pDMWdHQ0t2 | |
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458 | cHkzdDdvbWxvCkZXOW1nbjVFT1BlQXJQWmhhMFFVamVxclNwZGlOdldNNFQzQ0VCL0o5ZU1tYTZr | |
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459 | NW1jVENVMkp0Uk1Fd0lweTdTWlljMkJjeGdzczYKKzJobmxsQnpqa21zUlBRczBGZllOWCsrM3BQ | |
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460 | RTJUb25wVXV4Q3hJd3ZBRTJLVjJJa1lodzdxWlRJWk1wdDVPZUdScGNLR0VTbXhGegpDT3RETFV2 | |
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461 | NFhvcGk0WUYraUU4WTVoR2xnZWF2WUZPaDBwVVlqd2puYnJqc040RTlkdEl6UTRzdjY1bEFLV0pX | |
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462 | TkgzNHRycHc1RWdLClgxZDRLVjJLWGZCV3crQ2pzUGtEd09Jbm9qQ01DR2NETmJnTlkxTlFrOUps | |
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463 | bUlVakVYek1DTTZMUHhPOWhOZUhzVndzdG1vV0VqQzgKRWZZc2hzMlZTbGRqR3VLL3pnQXR1bjRV | |
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464 | aEh2YVJjOE1MYkVzSnBXcm9rZEdseHhsRGFyejhTdzRKaFpiTllmQkdtaXhzU2FNOW9odwoxcE9z | |
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465 | OW1aNzd5Z2E3V0RPRElrTTVqTlFkSlhUZzFoczFYeTgxVERvR0d4NUg1dHJ3bWlQQ0djOXlHallI | |
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466 | ekdTaTNiUU0rTXE0L21BClhvZ0xXWjJUWk9oMXBUOUw5dzRXYS9xWjJJMG1qTDN2d0pZTFNsZGpQ | |
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467 | aUtjOVhBNlpESmxOdDR6UTBMRGFTYnpOZDVLbDJMeFBHUkgKTHB3WXd1S3ova3FYWXZNR2FVRCtH | |
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468 | alp0VjdvUzh4UGgzSVVxMy9HVStOajJMSE1hWE5uRkpMYmhvblFwRms4c3Rtb2VYbXFJT2c2Ygoz | |
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469 | d2RhbGE1R0dTS2NPOUhvbHNhbTRHdEtsMkZTV3Z6NWx2RWNSc3lPMWhrSFdZVjdaUXdMU3ZzZ21u | |
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470 | eE1Sd0xTbTJEL083QzVRdWxxCmxDWEN1UU10dXI0VWhQc2dTN1liem83MFpUazVWSWpKaXpybDMr | |
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471 | ckd2a1BKN0s0VUN4dWIwaUFOOEExczNxcDBKWlpCaEhNN1pMVVgKMjN2SDBtRERjMlpvU1dBeFEw | |
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472 | Ulh1UzZJeFZaTnoxTU4wU2RnODN2WWJSTkdlOFJmM0M5Yzc1a3h5cVo3WnNoazhTYjlhUlhCM0tF | |
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473 | YgppNjB1RUl1dG10UncwWVRSSVJIT3YzREdwbnRtU0Z4aEFzc0pRclNiZGt3c3RtcDZBelNnWGdP | |
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474 | YnR5aGRpZVV5NjZuVDh1WEx5Y3JLCklpb3FpbmZlZVFlQU9YUG1FQklTUWtKQ0Fna0pDYXhkdTlh | |
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475 | Y0pkMmkybmNjeFRiYU0wT0ZBeWU1bStVRUk0SzVmU29aZ2k4UFlzblcKREJITUp1S2hob3lUY1Bo | |
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476 | LzRLQU5CL1BWcTFmNXpXOStRLy8rL1JrOGVERGJ0eHZlRjFDU1pka3NZMjJxcTZ0SlNVbGgrL2J0 | |
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477 | T0RnNAprSnVieS9yMTYzbnR0ZGR3YzNQanFhZWU2cmhJU1VJdU1XMTlqVzVwck92dGpteUR1YVhC | |
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478 | alNJbVVZUUluSTdjV0d4MWsxaHMxV1NHClg0TUQ3OERsbjB6OFFqOUk5RFRXSkVtQ0FqMzNrWFg3 | |
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479 | NnozenpETTRPVG54M0hQUG9kRm91SHIxS2g0ZUhnYlZZTFptamExYnQ1S1kKbUlpWDEvWFp1bkp5 | |
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480 | Y3RpMmJSdEFqdzlrVDlseXp3d2RnYXhtTE1kRVY3a09pY1ZXVFd1QUJ0UnJZZk5tcFNzeG53MGJO | |
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481 | ckJ0MnpZYwpIYTh2Zkd4b01JTVptelV5TXpNcEtpcWlyS3lNOCtmUDg4MDMzN0IxNi9VK00vUG16 | |
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482 | U010TFkyWFhucUptcG9hYzVVRWdLejJaSHZ2Ck9CclV0aGZNamtTeW5Ba2ltRHVnbGRWNC9KakFn | |
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|
483 | c0lVRWN3bTRLNkdqTk0vTjJIWVVUQ2ZPWE9HaG9ZR1pzNmNTV3BxS2krOTlCSU4KRFEwRzc4ZHN6 | |
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484 | Um9BWDMzMUZXKy8vVGJWMWRXRWg0Y1RIUjNONzM3M08zeDlmYmx5NVFyUFB2c3MvZnYzNTVsbm5y | |
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485 | bTFTRW5pTDQvOAo1M2Iya090ZnhuQXE1QjVLZkd6dkFxQWpmVmxNcnVncTF3SC9WamVLRDZheTk1 | |
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486 | SlliTlhZdEJLazFjTGU5NkRLSEwwd0x1ZERWZjUvCmJwZlBOVTZ6eHR3TzlsR1dEK1UzdlY3K3Jh | |
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|
487 | OTM3Tmd4K3Zmdno4cVZLeGs1Y2lRUFAvd3dJMGVPNUlFSEhqQ3NCbk9HODgybVRwM0sKSC8vNFJ4 | |
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|
488 | SVRFOXZ1MjdObkQ3Tm16V0xMbGx1dkZKaXF6YmxGMTQ5dkJ2UzJ1WFptSGNGOHlEZ3F4ZUNTZG9Y | |
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489 | WGgvRkJjVHhYUmQ5bApvNUtBWVMxUTloR2NPNlpnSWNacWM4N1JjeC90dk42Z1FZTW9MUzBGWU0y | |
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490 | YU5iei8vdnQ4OU5GSEJ0VmcxdE9xaW9ycmI2TWJObXhnCjM3NTlKQ1ltY3Y3OGVRQ2FtNXRadm53 | |
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|
491 | NTQ4YU5NMXM5eDRJVGJTNll0Zmp3SldORU1MZERLNnR3L3pHUkJUdVNSREFiMlJBVjlQMEsKdHZ5 | |
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492 | dndzRnNJZnIxNjBkaFlTR3RyYTJzWHIyYWtTTkhHcndQcy82RlRwa3loWXFLQ3R6YzNGaTZkQ2tB | |
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|
493 | Ly9WZi8wVkpTUWxhclpiTQp6RXhtenB4cGxscXV1U1J4Mk8wU3R0U3RUSU1MRzhqakpHSWxqbC95 | |
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|
494 | YTNWbFgya3F4UmNOdnpBamRHeXdCaHgrZ0ozZktWMkpaWG5sCmxWZDQ0SUVIYUdob1lPVElrVXlk | |
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|
495 | T3RYZ2ZTaldyR0VJVXpSckZQZTdtOVBPdHRPbldZV1dYZHhEb1poWjdqYmg5U0VzTDBrUXkwY1oK | |
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496 | VVlRR0FvcWg4SE9sSzJtSEJUUnJHSU5kZnJhcjg4aTJxV0NXVUhHVVg0bGcvZ1VIV1lWclJSd0xE | |
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|
497 | a2RnUzUrUWxPU25nWUhIWWNzSApVRzc3cTdVcHl1N0NXVVpEY1pBWFlEdVRHdjNJSk5ZalBxN2Z6 | |
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498 | TGZWaFlPSFV0a2xacEl6Q2pjVkpGWkE0YnV3cVZicGF1eUQzWVh6CkZkL1JYTlRaVGpEWE1ZNHY4 | |
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|
499 | Rk82RElzUzN0aUxGY1dKVkRXSlpveWVjcEJnNkZYWTl4NFVtSHBrbjNBTHV3cG5XZVhLTG44MVlC | |
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|
500 | dWYKeDJTeWVaOFFwY3V3R0JwWnd1TkNMQXNPaVFueGUwb0NocmJBeVk5Z28raDlvUWk3Q3VjTC9x | |
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|
501 | T29kYkNOczJZTktieEpmMFFJWGVmVAo2c3lSSTZsOFZlR2xkQ2xXTDBtQ0s2dGc2eTZsSzdGdmRo | |
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|
502 | UE9zaWFBM2I2R0Q2RzBSRHFpZVlzNFJEQmZGOTRZeENmRlNXSUlkZzhOCjBvQTJIM1p0VUxnUUFi | |
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|
503 | Q2pjRDRkbUVtVDJ2cDdhRGpTaDNkSTQ1b1lsbzFhbHZDK0dNT0NnMzBSYjFUZEY2NkJvQkxZL3Bu | |
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|
504 | U2xRZzMKczR0d2J0SDFaWSszOVFlekNpMWZrazJ0R1AySFRsWno2Vmc2WDRzcFBydnQ1bTV4SjIz | |
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|
505 | ak1veE5zWXR3UGhZMEJGbTZySFFaUFhhVgpFWlNMMFg5b1pSVlZ4NGV4VVFSenQ3aXFJT2tDRkww | |
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506 | TG04dzdDYVJnQUpzUDUyc3VpUngydC81aDJqcUNXQ0o2WnFDUkplckwwOGcvCko3b1BHa3AwaTdN | |
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|
507 | dU5oL08rNFA2Z21UOVRScDd5S0hKenR1WlZiSUVwMU5aZHpwUTZWS3N6akRSTGM3cTJIUTQxM3Rr | |
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|
508 | Y2RyRitvUFoKZ1NIazQ2WjBHWXFTWk5DZEc4Sy95NE9WTHNXcUpLbWdaaFZzM2FsMEpZS2hiRGFj | |
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|
509 | WmRRVUIzbGo3Y08wMVRqeUJiRktsNkU0OTU4UwpXSEU4Vk9reXJJYm9GbWY5YkRhY2EzeEdVMmtE | |
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|
510 | dzdTckdNa1pPNzhJNkhNaGxtVkhlaXRkaGxVSTAwQndDV3ovSExENCtTYUZ6dGhrCk9Nc3FWM1lH | |
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|
511 | YUlBV3BVdnBFUjJoTENaSTZUSVVGWGdwaXFXbGtVcVhZZkY4MVRDb0RMYThENmRFdHppYllKUGhY | |
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|
512 | T2xuRzhPMGQ1QkoKaXgxZkJPeFZOWUIzOWc5UXVneUxsd29jK0Nkc3NyMmxNTzJhellXenJQRm5s | |
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|
513 | NS8xRDlOV2s4cFdYSlV1UXpGaE5aRXMzRHRZNlRJcwpta2FDWVdkaDR5S2xLeEZNd2ViQytVeGdO | |
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|
514 | azFxNno2RlVPUE01MFFyWFlaaXdxOUdzS0E0Qm12dm0yNUtnUnJ3K1JZMmJsSzZFc0ZVCmJDcWNX | |
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|
515 | M1I5S2ZHMjdtQUdxR1FVUDlyV3IwWnY0ZldoTE5pVmdBam1qaVdxb0d3ZUhCQURTV3lhVFNYQWNS | |
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|
516 | c1lwdTFJQkovaXIzUVoKaWdodkRHYnhqaVJFTUxkUEFqSXZRY0diUUt2UzFRZ2RhV2hvSUNzcmk4 | |
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|
517 | YkdSaHdkSGJuMzNudDU4c2tuRGQ2UHpZVHpOZWQ0RHRuQQpNTzB0Wk5CcWh4Y0J3NXNDK2RlT0ZM | |
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|
518 | dStBTm9aSHpXRWJZR0N0VXBYSW5URjBkR1JIMzc0QVdkblp4b2JHMGxLU2lJdkw0L0lTTU42Ckhk | |
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|
519 | bE1PQjhJN21mMXc3UWwwdG1CczlKbG1GM29OVC9lTFVybFdxc0k1dlpFYStEQ1lpZytxWFFsZ3I2 | |
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|
520 | Y25hLy9IOWZXMXRMYzNJeE8KcHpONEh6WVJ6dlVlbVp5eThtSGFHdHhZemtDbHl6QzdrR1p2bHU4 | |
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|
521 | WVNrT3JtQWExUFpsWFlmT3IwQ3I2THB1ZFdvKzJJNW4yVzVoYQpXMXRKU0VqZ3dJRUR2UGJhYTRT | |
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|
522 | R0dqNjYxZXJEV1VaTlNhQXZZTjFMQXA5bkpKZXMvOWRoa09BV1R6N2RtVTV0czMzOTNQcHdWOEhB | |
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|
523 | Cll0ajRoZEtWMksrV1ErWHRQOUM0SFpvS085MVdwVkt4Wjg4ZXlzdkxHVGR1SE9ucDZTUWtKQmow | |
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|
524 | K2xiL1gxSGpNNW9ManRZZHpJNUUKOHJtZHJhQWQwT0xPcWwzcFlvWHNkdlRYUVAwSFVIUlk2VXJz | |
|
|
525 | M1BrTEhUelE5K2V2Rzk3b2NCY1JFUkdNR3plT3dzSkNnOFBacWh2NQpaSlVMdXdLcy9mMUZ4UStr | |
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|
526 | WSswWE1nM2gxK3JLdXVMaFhHZ3d2QjNPMWcxdmd2Sy93V2tSekZhcnNyS1NxcXJyWFhvdlhyekl1 | |
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|
527 | blhyCm1EaHhvc0g3c2Vwa3UrZzNtaG9ySDZZdGs4RWVISlV1dzJ5OFpXYzJsZ3puWEozOS9NejZj | |
|
|
528 | RkpCd21IWS9LSFNsUWc5ZGY3OGVYN3oKbTkvUTB0SkNZR0Fnenp6ekRFRkJocytSWTdYaExHdjgy | |
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|
529 | T25YcUhRWlBlS0FKKy9UVCtreXpNWlRkcVJvVHdibHRmYlhJNlV6RVJwUQpmd1piUzVTdVJEQ0dt | |
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|
530 | SmdZZHUvZTNlUDlXRzA0bnczSW9rbDlSZWt5ZXVRa0k2bTJrOFZhM1dRZGUvZG5jUFNLaTlLbFdK | |
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|
531 | UzBWdGozCkQ3aHEzWjJOQkJPd3luQnUxZmFteE1lNmcxbkhJRmJoclhRWlp1RWlPM0NzTkowRGwr | |
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|
532 | MTdOWmViT1VpUWRobzJ2YU4wSllLbHNzcHcKUGg2VVFxc1ZEOU9XVUxPT1ZPemhJcUNUck9ITTRY | |
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|
533 | UjJWM29xWFlyRkNOYUE1eHJZdEVYcFNnUkxablhoZk0wNWpsSVA2eDZtM1V3MgpwZGgrVHdXdHJL | |
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|
534 | YnkyREMyVjlqSEp3UjlKRWx3L0EwNFY2RjBKWUtsczdwd1BoalUzNnFIYVd2eDRWLzBVYm9NazlQ | |
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|
535 | SUt1ckswdGg0CjNsZnBVaXlDQ2hoZUNSdm5JNWFQRXZSaVZlSGM0SjdCU1ZmckRXYUFvNHpncW5W | |
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|
536 | M0wrK1NXcFpvUFpYSytqTUJTcGRpRVh6VjBLc0EKTm9yRlZnVURXRTFLeUtnb0NiTHVVWFE2b2xt | |
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|
537 | RGJiZTlxbVRRbkUxbTlVbjdYdnZ3aGhnMVNJdGdqd2htd1VCV0U4NjEzcU9wc09KaAoyaElhVnBP | |
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|
538 | TU5iZVY2OFBseHlTK1BCR2lkQmtXSWFzV0RzeUZDNmVWcnNSKzlBKzI3a1dkYjJZMXpSbzdBN1dB | |
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539 | OWE0TjJFZ3V4OUFxClhZWkplVmZFOCtIUmNLWExVSnk3R2dic2dJSlZTbGRpUC9vRXRPSi85U2Uy | |
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|
540 | ZjNoSzZWS014bXJDdWNiQmVvTlpoei92WXR1aDVWOFoKelh1SGJQOUNaMWNHYUtEMlBkaHhWT2xL | |
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|
541 | N0VPb2J5dWhMUmZZK25FNUoyenNRcXZWaExNMU84QUlHcXluQmNsZ3daY0g4YStEL1pVdQpRM0hE | |
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|
542 | RzZIdzczRE5lczhqckVhZ2wweWtwcEt0L3k3amRMT05wZkxQUkRpYm1KWUVOdUN1ZEJrbUUzcWxI | |
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|
543 | NHYyMmQ4aUFUZHpWa0ZjCktXeitTT2xLYkordnU4eGdsMHRzKy93RVB6YmE5a0tLSXB4TlNJV09W | |
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|
544 | UmcyaDZzMUNhdnR3OEtTYUd6OUltZG5lbXRBK2hTMjdWRzYKRXR2bTZTb1Q1MWxOMFJmSDJWaHJI | |
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|
545 | OHZDaUhBMm9WcEdVSTV0VGlZZlhoZk9ndDF4MkhNd0QyMkZQUzlEblhWUDgyTFJYQjFsa2dKcQoy | |
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|
546 | TDN5T0FXWG01UXV4NnhFT0p1SWptQ1cwRXZwTWt3aXZDR0VoVHNUc2RkZ2RwQWc3U1JzV3FKMEpi | |
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|
547 | YkxTU3VUSEh5VnZWOGZvK0NDCmRVOE4zRjBpbkUya21CeWFiUEFpWUhoakVPL3NHSUpzcDhIY1N3 | |
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|
548 | UHVxMkhUTnFVcnNVME9HcG0wc0RwSzF4NW40N2YxU3BlaktCSE8KSnVCQU1odHhWYm9Nb3d1NzVz | |
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|
549 | KzdPMUpvbG0zdlRVY2ZReVE0OGhxY3JWUzZFdHVqVnNrTWpXamcrUGZIMmJUZXVsYzNNaFlSemth | |
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|
550 | bQp4b2wvRTZ0MEdVWVgwdXpEQnp2U2FHaTFqOFVCYnFZQ01pNUF3VnVJU1l1TVRKSmswbm8zY21i | |
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551 | ekNUWi9WNk4wT1JaRmhMT1JWVEdTCnN6WjJXSHMxZS9ISnptSFVOZHZXejZVUFB3MEVmUThGM3l0 | |
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|
552 | ZGllMUo3ZFBFaGFJeXRuMWZwWFFwRnNtc24wK1hMMTlPVmxZV1VWRlIKdlBQTzlTVWdhbXBxbURo | |
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|
553 | eEltRmhZVXlhTkluYVd1dWRQME5IS0NzSUJPQmkvbjZGcXpGY2V6VUh0bmp3NWU1MHFwc3NzTmRK | |
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554 | Y2I1SgpkeCtuQnZsdDJHdk1ZTDZjYjhTZG1ZbVJheDdTK3hvRGFvNVMrSzlpVHV5enpXRGV1SEVq | |
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555 | Z3dZTm9sKy9mc3liTjY5Yit6QmJPRmRYClZ6TjM3bHkrL1BKTENnc0xXYlJvRWRYVjFiejk5dHVF | |
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556 | aFlWeDlPaFJRa0pDV0xCZ2dibEtNcnBDc21qNStaQmV5aitnY0RXRysyWE4KL3ExdXJObWRUbVdE | |
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|
557 | aGM0SlVwSnZzbDFuWFlHOWM2RHlySkYzWEpWdjVCMmFnWkZxamd0dkpycXBqSjFMZG5ONDV5V2o3 | |
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|
558 | Tk5Telo0OQptNFVMRjdKaHd3Ym16NTlQWmFYaEZ5ck1GczVidDI0bE1URVJMeTh2WEYxZHljbkpZ | |
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|
559 | ZHUyYlJRVkZURmp4Z3gwT2gzVHAwK25zTERRClhDVVpsWnFoYk1kMkZpLzFhWFhoaCtMaC9GanZx | |
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560 | SFFwWnVXaGhpRTdvZUQvUUxhZENjNFVGUlhhUWp3bjJmUHVMdlp2c2YwbFlLcXIKcjg4NW41bVpT | |
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|
561 | WGg0T0tOSGorNVdycG10RVRFek01TS8vT0VQbEpXVjRlam95RGZmZklOT3AyUEhqaDBNSEhoOStP | |
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|
562 | L0FnUU1wS2lwcQpkM3NQSXMxVmFqZG95R2Nva1RjTk9MbUlJNUZXTm5mempabzFzcHF5WTBQd2xa | |
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563 | end0ZUJPSitlMUVHVEUrandBN2Jkd29Sd1MreGx2CnZ6Yzdmd1dDVExSdlUrbHV6YzY2VmtKYUwz | |
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|
564 | RjQyM2trSURIUjJlaTF0V2YzYnVQc3g4T2o2NHZmMTY3SjFOWGRldC9ObVFZd2VQQmcKdG0vZnp2 | |
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612 | aWNXZEhtcWJxCisxN0dtTmRPSEhnQ0J4L2hZeDBPQjUzUDUvR3ZKSUJMMksyQmoyU3RWVlZWT3Ax | |
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614 | Z250aDhxdm9BQUFBQVNVVk9SSzVDWUlJPQo= | |
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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> | |
|
|
640 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVdjQUFBRVhDQVlBQUFCeG1vVk1BQUFBQkhOQ1NWUUlD | |
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701 | anFjUFRHd0I0eVhSU3F5aTNUT2VrcWcyMFRLRVkyQUU4K21QTkdiYmlXK0o1S3V5Y2FKbDJBMXB6 | |
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702 | aGFJKzhFSQovSnYzaVpaaE94T0hRbUNWYUJWV1V4bWJTNHZSdmMzWlJEYnpHSVEwWnRzd3FCQjFi | |
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703 | aUR6TjQzZ2RKT1hhRGwyUTJnOVo2MFRrRDZJCldLVkl0QXpieWN5RnZscXNSdEk1RjgyM2NTREF2 | |
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704 | V3RuZUpMQm02VFJMdWRMTmhHb2VuSDZZQmFMamtlSWxtSjNwRGwzZ2NISGgzNXAKZFNndE90dWND | |
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705 | dTBGb3l0ME0vbFNUUkZzaXZFQ1drUkxFWVlYZzVuTE1OcWtNZHRFYkdzb3E4cXpPVmJ2T3V2TVZ5 | |
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|
706 | UE51UXQ2LzJBWQpQaTNyUk11d0RZTVJKZ1dENTNIUlNxem1RSzh4TkpqY2Q5YnN4UUFXa0V1TE5H | |
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707 | YWJpS3Z0UjBINUlGcFYxNzF2MHB3N0lTZ25nNmkyCmRicVpmWFp3K3lnSTAwY1dJRUJUWUI2N2c4 | |
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|
708 | Nmp2eHR0SDd6cFN3SDVORXBqdGhwZjFZT21JME5aY05qMTQ3K2xPVitITVNpUWZnTk8Kb09nanlP | |
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709 | RmY5RStEVlAwWXMyb0lZbE5zQ0NnNlRPcXhBMTRrc0lTeDFFcGp0cHJvdG1EVzdjeGhYNjJmYUNs | |
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|
710 | T1FacnpkU1RlT3hpdgpTenFMYWZZM3d4M2Y2eXIyNW1qTUhkUjZ1T2R5aGhjeExPTld6bUVVTFVV | |
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|
711 | M0pOVDNadkcyTkpyYTNlZWVTWE8raXBBeE9ZUzNiTkRmCnQreDdrOEMzVExRS3Eybnh6Mko3aUhz | |
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|
712 | dVozZ1J3Y2ZjeVduNTFyTUtUOVdJNThsMDV1MVBFQzNGNmVob3J1VllQTUpDU1lyZHE3KzYKN25u | |
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|
713 | NUVLc2ZZMVlWYjhwaVk5MnlnTDRub1N6bmJvNUxZN2FLaUhaL3Fpckc4SkhPakhuYXRHbEVSa2FT | |
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|
714 | bXBwNnczT3Z2UElLQm9PQgpjK2ZPV1J4SG12TS82WHQzSWg1dE9tdUhGTnNQc2plSlZtRVRwNklt | |
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|
715 | Y05hclhyUU1wK05CRUt1NWh5bzhSRXZSQlFsTnZmaWtaQ3psCjU0SkVTN0daeHg1N2pOV3JWOS93 | |
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|
716 | K05HalIvbnFxNjlJU0xEdXcwYWFNeEF4ZmlTaHpmcVpmUUwvVE05dUJaTis0b05iZlFaUkZxNlAK | |
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|
717 | TGl6MnhJUS8zekNadlhpS2xxSjVUS3BDNk9rMDVwVm1VM3RKbng5a2VYbDVtTTAzTmtaNDdybm5l | |
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|
718 | UEhGRjYwZXgrMi9YM24yaXFGUApXRG5vTFhQNDdxRVFxSjhzUUJVVDIrSlNVQlgzNm01aXhJY04v | |
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|
719 | SUFLWENldDJGR0VxRDRjM0p2RFAwNkZpSlppZDVZdlgwNXNiQ3hECmhneXgraHkzTitkK3Q0Vmph | |
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|
720 | ajRoV29adFpPUkFrbjZNR2VCY3hBUk8rcmlYTVJ2d1lqTlQySXByWnJEWmsvaVdTUDYrZlppbWFt | |
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|
721 | T00Kbk5yNTQ0V25vUERxOHVnVzJvazJORFR3d2dzdjhOVlhYM1U4cHFxV000L2QycHlqNzhranVG | |
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722 | bG5XWUFoTVRDNlVsZUJEbTFlZlNtSgpiQll0dzZrWThHQVg5MUdDZThUa2RoZURDcEhuQnpKLzF3 | |
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|
723 | RDA4cUllRTNuNTN4Vm1XVERuQXdjT1VGVlZSVnBhR2dESGpoMWo2TkNoCmxKYVdFaEhSZFUwUXR6 | |
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724 | Vm43OFRlSlBpWGdwNUtaeGlNTU5rTVh2cWE2VmZFRHFYVjRENHh6UXBHOWpHRkl2eEZTOUUwZ2Fv | |
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|
725 | WFp3NW0KVWVDQ1JZdXVKalUxbFZPblRuWDgzcWRQSDdaczJVSkl5TTJYYjl4elE5QmdvUDlvSDR5 | |
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|
726 | cXptWno0MGRCbUw2NnNkU0cza21Wdi9zWQpNeGc0ekJTK1FuOVJCczRrdGpXVTRxM2orTm9Galhu | |
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|
727 | cTFLbU1HREdDdlh2M0VoY1h4NkpGaTY1NVhyRXlqTlF0Wjg2eGswY1IwS1N6ClVxQ0RodW1tZS9Z | |
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|
728 | VjJqMWkyQml0ajYrcTl1SjdKdk01Tis3VVMvNkZxeGN0ZXUrOTkyNzYvTUdEQjYwYXgrM00yVy9n | |
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|
729 | QU9JOGkwWEwKc0ExekZOeDZRQzlMY2gzc2pSMUZzOUY5WnMzbnVKZFBDUk10UTdQNHFoNDBIeDNL | |
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|
730 | Z2lyWEwxcGtEOXpLbkJWUFQvcGxYOExRcktPNApPWU1SZmhBRzNoWjJIVFJHUS9BNDlnYTZqekhY | |
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|
731 | Y1RjZkVpVmFobWFKYmd0bS9hNXM5dGJJZFhocmNTdHpUcGlTaTErenpwWXp4dXVyCkRDaUFhZ3ho | |
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|
732 | WXk4L1FHZHIrdDJrbVR2NEs3MUV5OUFzQ1EyOVdielZ2WW9XMlFPM01lZkF6RlJpMUNKOUxRME1I | |
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|
733 | S3E3ZFdhQXFsNjMKVVcvU1dTcDhOMm5qRmhhaHI5b1B6c0tkaXhiWkE3Y3daNE9mSDBtcDUxSDBr | |
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|
734 | K2tNd1pGdzJ5RjlmWmdBelFIRDJSbDhEdDBKN3hiNQpMS1F2N3ZGL3RZM3dkbjkyVk9hdy9heU1X | |
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|
735 | dWt1cnJsZGVoMTlKbWZnMDNKTXRBenJVUXp3Z3dqd3RseTVTa3VvQm45S1lpUGNvdUtjCmtlSE1J | |
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|
736 | eGxwekRlUzBOU0xUMHZHU21QdUlTNC9jdzRlT1pUSTF2WDZlZytOejROdy9TMW5uSWdlendWUDEw | |
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|
737 | L1I5bUFZZjJFdytucFIKT1I2VHFoQjBaZ2p6S2hPUjk2Ym51TFE1bTh6QkpDVWVSV2tWcmNRR1Vq | |
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|
738 | SjExVzdxQ3BmOE10Z1NXb09ydnlrOVNXY3VHYkpUOW5XWQpWUjhPdVdqUklsRzR0RGtuM3BPTVY0 | |
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|
739 | dU82aDBIUjhMdFZicnpOMVh4WkhOc0gxQXVpcGJpVUx3WXhEeXl1Q1NOK1JxMFdMVElGWEJaCmN3 | |
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|
740 | NGJsMHRZOHliOUdKMWlnTW1SNEwxRHRCS2JPUjA1Z2RQZXJtN00vWG1MRVRSTFkrNUFVU0hxd2tE | |
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|
741 | bTc5UlAwU0k5NFpMbTdCRVoKUVdKTUpZcU9jazI0SXc4aTlMZWMwZVk5Z05Md0J0RXlISW8zaVJT | |
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|
742 | UVQ3MDA1ZzRDVkMvT0hzcWk0SmpyMWNiUUNpNXB6a2wzeHVIUgp2RVcwRE90Snp0RGxPck9LZ2ZL | |
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|
743 | NFZOb05ycnNKNkVVY1N4aExyZXlVM1VGc2F5aGZsR2R6cEY3V3FYWWtMbWZPa1hlTklxUlpSNFhv | |
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|
744 | Cmd5TGdqaU82REdxOEVENkJZNzZ1Yk13eHZNY2RuSlBHM0lHckZ5M1NFaTVsemw1eHNmUXhiNFYy | |
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|
745 | MFVxc1JGRmdjalI0bDR0V1lqUHQKbmdsc2pOSlRHSXh0ZUJMTzN4aFB0VFJtQUh4VUV5MUhoOG1p | |
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746 | UlU3RWRjeFpVZWgzcXhsams0NlNUVzdQaDBqOUxXY0FWTWJtdUd3QgpmVTlDK0FkM2MweDJ5Z1ln | |
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|
747 | dWkySTlidHlaTkVpSitNeTVoeHpieDVCZXFyUm5Kd09RL1JwekJkRGJ1ZEFnR3Nhc3dkQmZNRzlI | |
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748 | SktkCnNvSExSWXZlMlpaR1k1djhCdUZzWE1LY2ZmcjFKY0YzbzM1YVRnV0Z3eDNIZExuT3JKb2ky | |
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|
749 | UkR0QVZ3U0xjWHVtUENqa0VsOEo0MVoKRmkzU0FMbzNaOFZrb3Y5SUU0Wm1uWmlGb3NEa0dGMnVN | |
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|
750 | d1BzN3pXR0poZXNPR2ZFaDAxTVlTZmVvcVVJUnhZdDBnYTZOK2ZZeVNQdwoxMU9ONXR2MHU4N2NH | |
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|
751 | SlJQWmJEckdiTUJMN1l5aGMzSTBMQ0VwbDY4dHoyVG1oYTUzaTRhdTMreG5qWnRHcEdSa2FTbXBu | |
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|
752 | WThWbGRYCng3MzMza3Q4ZkR5VEprM2k0c1hMMldSVlZWWDQrUGlRa1pGQlJrWUdUejc1cEUzWDhr | |
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|
753 | OU5JZGFrbzdDNS9tbVFwazlqVm8zQmJPb1YKTEZxRzNWRXdzWnNwYk1SUHRCU2htRlNGc05OcHpD | |
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|
754 | dk5sc2JjUXpyendGLzk2bGVrcEtTUW1abkpzODgrUzJOam84Vng3RzdPanozMgpHS3RYcjc3bXNi | |
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|
755 | bHo1eElmSDgrK2ZmdUlqWTFsM3J4NUhjOGxKU1d4YmRzMnRtM2J4bC8rOGhlcnI2TjRlZEV2c3hH | |
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|
756 | RFh1TG1Bc05nCi9IRmRyak1ESEltK2pUcVBKdEV5N0lxQ2dRTk1vWkFBMFZLRVlsWjlPTHQzTk85 | |
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|
757 | V3l0clU5cUF6RDd6OTl0dXBxS2hnOCtiTjFOZlgKczJ6Wk1vdmoyTjBxOHZMeU1KdXY3VDVjV2xy | |
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|
758 | SzlPblQ4Zkx5WXRxMGFaU1VsUFQ0T3IybjVPRGJVdFhqY1p5Q29zRGtXUEE1STFwSgp0Mmp4ejZJ | |
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|
759 | OHhOV2lNeFNPTW9VdmNiMXZBN1lRM3hMSm1ySnhiSkRWNU94R1p4NTQyMjIzWVRBWU1CZ00zSEhI | |
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|
760 | SGF4ZGEva2J0RlBXCm5Ndkt5a2hPVGdZZ09UbVowdExTanVjT0hUcEVlbm82T1RrNVBQbmtrNlNs | |
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|
761 | cFhVNlJzRlZQdy92SGNlSWRoMjFuTW9iQlZIclJLdm8KRnFyaVExbHNMQ2oxb3FYWWxUTk00alBj | |
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|
762 | MjVCaUxpUXpmMGNLK25ramRjRzJRdGhlYVA5eHV5aXlWL2o5NVgvZFplSENoVHorK09NVwpqM09L | |
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|
763 | T2F0cTV6RnVNVEV4SEQxNkZMUFp6S3BWcTNqNDRZZlpzYVB6cW16VHJ2cTU3NmdFbExhakRsRHFB | |
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|
764 | QXhHU05zbldrVzMrVDc2CkxzNTYxWW1XWVZlYUdNL0h1Ry9CSGcvVmdPbkVVTjQrRUNkYWluM0lH | |
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|
765 | SFA1M3hVV3o3TFB1TTkyL3ZDWWYvNjd3cXgwNjRkOC92bm4KQ1FnSTRQNzc3N2Q0ckZOV1FMT3lz | |
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|
766 | cWlzckFTZ3NyS1NyS3dzQUR3OVBUdW0vM2ZlZVNjbWs0bjkrL2ZmZEN5RHR6ZGhxbzdDMERLeQp3 | |
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|
767 | YmNISDdNQ2FmVWRRbG1ZYXhtendpZ1dFeTlhaGpBQ1ZDL083c3ZqNzY1aXpEcGk4ZUxGZlBIRkZ5 | |
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|
768 | eGR1dFNxNDUxaXpqazVPUlFVCkZORFkyRWhCUVFHNXVia0FuRGx6aHJhMnkzVTl0MjdkU21Oakkw | |
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|
769 | bEpTVGNkSzJSVUJxWjJIUmxHcGo3WGFsWEZneTF4L1hUL2pmZHEKUEVsbkFTN3dOYjZiUkxZSHNM | |
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|
770 | VjhETVhmaDRxVzRuYXNYcjJhbDE1NmlSVXJWdUR0YlYwc3ZkM05lZXJVcVl3WU1ZSzllL2NTRnhm | |
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|
771 | SApva1dMbURGakJrZU9IR0hBZ0FFY1AzNmNKNTU0QW9DaW9pTFMwdEpJVDAvbmhSZGVZUDc4K1Ji | |
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|
772 | SGo0eXpISUtpR1pKU0lhUlN0SXB1CmNTYnliazU1NitoRDBBTGVKUEUyV1c3YlhpcitVZ1NmbG81 | |
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|
773 | aGY2MTdod3c2Z3lzZStOMTMzeEVYRjBkQlFRRlBQLzAwRnk5ZTVOWmIKYjdVNmJGaFJ1MW9RMWhD | |
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|
774 | S29yQWU4T3dWdzdDOEUvcHA3dnhnTnNTVldqNU9ZN1I1SjdPcWZ6enRlcm5QRnZBaW1tVk00TFNi | |
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|
775 | VnBoTApxTy9Ed2kxcDd2UEJORnJwY3AvTFdoUkZRZDF1NWJIcFhlK3I5UVJkL2JVaWhpZnB4NWpE | |
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|
776 | NDZDWC9veFp4Y0QydU1FdVk4d2VCTEdDCjhXNXB6SW9LWWFlSE1HOUx1dnNZc3d1aHE3OVloTjlC | |
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|
777 | MFJLc1ozZ2ZuZDNkeTV3UHY1dmpMbEpBMzRnMzY1amtsaFhtdkZRajZwSGgKdkZ1WmhMdXVzZXNk | |
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|
778 | M2RUV0NCeVdoaytMVHFJMGZBSWhhYk5vRlRiVDd0bUhUVkV0b21YWUJRVWpGZnlBN1c1WXlNaXMr | |
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|
779 | ckNuY2poYgp6N2gzZ28zZTBjM2NMaUpGUnhzWnVlbmdvYittcDd2aXNtZzE2Q1FkM2dJbm1PU1dh | |
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|
780 | ZGt4YmNHczNUSkdHck1Mb0p1WmMxajdOdEVTCnJNTmdoRUg2U3pxcENiMkxLbjk5aHYxZFR3TjNz | |
|
|
781 | Wnd3MFRLY1RrSnpERXUyREtPaFZUZHZhOGxOME0xZjBkaXVreEM2OUN6dzJ5UmEKaFUyMGUvUmlZ | |
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|
782 | N1JvRmZZaW55WEVpaGJoZE9KcSt6RnYrMkRrK3JMcm9KdGxEZDJRV1NOYWdjM3NpUjFKaTFIL3pW | |
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|
783 | bzl5V0FCQTNBMwpnNHEvbU1nQ2Fjd3VoelJuZTlJM0ZVTDFsWFJ5MFh3Yit3UDF2NXpoVFg4V01J | |
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|
784 | eDJOM3RKSnpUSHNHQnJHdEtZWFEvM2VpVTdtaHhmCjBRcHNRalZGc0NtbWk5SmJPc0tMWGl3aGp5 | |
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|
785 | WTNlem5IdFlheHVDd0xWUnF6UytKZXIyWkhFaGFydTZTVC9iM0cwbURTZCtpY0IyWSsKNVE3TzZX | |
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|
786 | Zjd4QzVFdGdYeTBlWmNtdHJkTDduR1haRG1iQzlHSklKQjg1bndIVFFHamRaOVAwQWpQcXpsSGc3 | |
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|
787 | alhtMlZ6S29QMzJ3Zgp5ZmtXOTB1dWNTZWtPZHNEN3dCSTJpSmFoZFZjN2djWUtGcEdqNmxrRWp2 | |
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|
788 | Y0xNbkVYL1ZreDY2UkhLbVh6V2hkSFduTzlpQTNBenowCjB5bmtjTXp0MUhrMGk1YlJRL0w1QnYx | |
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|
789 | L3dOaUNwMnJreE43aDdEcnZYdjl2ZDBXYWMwOVJEREJZUDBrbnpRSEQyV0hXOTNLR0Y1RzgKeXdE | |
|
|
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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|
795 | dnZQTmlKTkVMOFNTajhWclFTbQpUWnRHWkdRa3FhbXBIWS9WMWRWeDc3MzNFaDhmejZSSms3aDQw | |
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|
796 | Zkw3VVpwemR4blJWeGRKSjYwK2d5Z0wxM2VqVm04U2VaYzQwVEtjCmhzeitzNDMrSm1BaGZGY2lX | |
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|
797 | c2xsSG52c01WYXZYbjNOWTNQbnppVStQcDU5Ky9ZUkd4dkx2SG56TEk0anpiazdlQWRBUCswbm5h | |
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|
798 | aVkKMkJxWGpLcmp5WmNCRDc0ZzMyMTY0TW5zUDl2SVV1RG9iRGgxV0xTU2Y1R1hsNGZaYkw3bXNk | |
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|
799 | TFNVcVpQbjQ2WGx4ZlRwazJqcE1UeQpKNGw3dk9MdGpVNlNUczVHM3MzM1B2cWVOZGR3QjVYb3Z6 | |
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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 | |
|
|
806 | TXZ2UE91Sk0KRVBvUmJIZUNNZHVibkp3Y0Nnb0thR3hzcEtDZ2dOemNYSXZuV0RUbmI3LzlsdG16 | |
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|
807 | WitQcGVmbU40dWZuMTYwcHVrdVFPQmhDSzBTcgp1Q250bnIzWkdOVW1Xa2FQOEdJd0h4RWhXb1pU | |
|
|
808 | aUQ0bnMvK3NZYkFSTHI0QmgzYUlWbUtacVZPbk1tTEVDUGJ1M1V0Y1hCeUxGaTFpCnhvd1pIRGx5 | |
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|
809 | aEFFREJuRDgrSEdlZU9JSmkrTllYTllZTUdBQU5UWC9tb1Z0MnJTSmpJeU1ucW5YS3pwSU9xbUl5 | |
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|
810 | NmJWb04rMlV5YjgKK0J2WnVFUGlSZnpGUk9idmt0bC9saGplQnB2L0RKZWFSQ3V4anZmZWU2L1R4 | |
|
|
811 | NWN2WDI3VE9CYk4rZW1ubjJiU3BFa2NPM2FNc1dQSApjdXJVS2Q1OTkxMmJMdUlTaFBhQ09HMG5u | |
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|
812 | ZFNGak9lUXYzNk5HZUFJZDNMTURZcm5KelRITUY5bS8xa2sveHdVelJHdFFnd1d6VGtyCks0dHZ2 | |
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|
813 | LzJXTFZ1MjBON2VidFZDdGtzeW9pOFlqb3RXMFNXcVJ6UWJZNHhBdThWanRZb0hRMWxCaUdnWkRr | |
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|
814 | ZG0vMW5HVTRHaHU2SG8KQTlGS3hHRnh6Zm52Zi84N0Z5NWNZT2pRb1dSbFpYSGh3Z1UrL1ZRRE9a | |
|
|
815 | TE94TnNma3JhS1ZuRlR2b3ZObzhsb09hUkhxM2dReFB0awo0T296U1puOVo1bFFJL1JiQXh2ZDJK | |
|
|
816 | akJDbk9lTldzV3djSEJIYjhIQndjemMrWk1SMnJTSHJtWjRLbmQyaFQxd2Jld04xRGZ5eGw3CnVa | |
|
|
817 | UFR1TFpoaGNqc1A0djBOWUgzTzFDeFRyUVM4VmcwWjI5dmJ4b2FHanArYjJob3dHaDA3VGZSTlNn | |
|
|
818 | R0dIeEF0SW91VVUxaGJPeWwKNzR3eUk3bDhRWkJvR1E3RlgvV2tYR2IvM1pSTUE1eDZHWTVyUDhm | |
|
|
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 | |
|
|
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 | |
|
|
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 | |
|
|
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 | |
|
|
863 | RWU0UjhDUWQ4NTk1cFdjTmFjb2J0NnpTWUMrQ3RKb21YWWxhRFQ2U3c3R2lWYWhuQ0dHT0hJSExo | |
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|
864 | UUxWcUpQZ2dNRE9SMwp2L3Nka3lkUHBxR2hnZkhqeHpOMjdGaWJ4N0VZU2pkcjFpelMwOU9aT1hN | |
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|
865 | bXk1Y3Y1NDAzM2lBb0tJamYvZTUzM1Jadkt3NExwY3NjCkRyZHBMeml6T0hrU1o3MzBGZHQ4am52 | |
|
|
866 | NUVOY3hzcmphZml6WTdxaTFOUDB3OGhLVXZLeXpqRDg3aGRMZHFmN05xbU5YS1ZONmZMM08Kc0xp | |
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|
867 | czhjd3p6N0J0MnpiYTJ0cTQ4ODQ3Q1E0TzV1bW5uN2E3RUNIMDFsN20yaVcvVE4wWnN4ZHgvSTBJ | |
|
|
868 | MFRMc1JrSnpEQXUyRDdaOApvQXVqQVBtbm9QaVBPak5tRjhLaU8yM2N1SkdaTTJleVk4Y09LaW9x | |
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|
869 | K08xdmY4dDc3NzNuREcyT0owWjdBWm9uelgxRlM3Q1piUzVVCmNhNVhxNWtsVzF4clU5TldmQTB3 | |
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|
870 | YkJzVXpSV3R4TDJ4K0k3Nm4vLzVINzcrK2wrVnNsOTg4VVhYS0I4YUVROSsya3JYVmhVdjlnVHIK | |
|
|
871 | YTlic1NRWkYrSXVXWVJkQzIzMVp1WDA0RGEydUZhTnRDOUVtaUYwQlpjc3RIeXR4TEJaZmhTdFdy | |
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|
872 | T0R1dSsvRzA5T1QxYXRYczJmUApIdGNvZXRRdkFUZ2lXc1UxTkFZT3A4bDRTYlFNcTFFdzhUbnBv | |
|
|
873 | bVhZQlYvVmcvS0tFWnhzY00xT0xkWXcwQVRWYzJHdkd4U2cxQU1XCnpUa3NMSXdWSzFad3l5MjNN | |
|
|
874 | R3pZTUQ3KytPT2JGajdTRFFuYVcwZzdhbzVBVDdITnJlU3ozd1ZDNTR5cXdvV0RPZXgwNDRMNXVl | |
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|
875 | MncKN1FWbzF0Y1hONWVtUzNQMjkvZS94b1JiV2xvNGRPaFFoem5YMXRZNlJhQkRVQlNJMkNOYXhU | |
|
|
876 | V294bEQyQmVySG1EMElZcG1MZE5IMgovVDZUejQ2N3pvYW1yWXcrRDJ2bjBIbTZtMFFZWFpxelN6 | |
|
|
877 | ZHpUVWdCTDIzMXo2azE1OUN1NktlZy9rbkdVWXYrNjB6MHVwRE1XL3NTClJNc1FncGNDbVpXdzlu | |
|
|
878 | M1JTaVNkMGFVNTc5bXpoK1RrNUU1TGVBSmtabVk2VEpURFNRb1RyZUFHOXB2OUFIMVVrZkVtZ2Ir | |
|
|
879 | anZYdG8KS3dtTnNjemJrV0w1UUJja3pBZ1JYOERHOWFLVlNMcWlTM04rNVpWWFdMaHdJYzg5OTF5 | |
|
|
880 | bmE4emZmdnV0UTRVNWxEaHRtV0NiVnhMSApmUzZnbC9DdE12SjAzOTBrdGpXVXhWdUdvcGQ3Ymsr | |
|
|
881 | U1RGQmZBTHNQaWxZaXVSbGRtdlBDaFF0cGIyL25qMy84SXlOSGpuU21Kc2ZpCjVRdWhGYUpWWE1N | |
|
|
882 | Wjh4QlE5TEdNNU1GUWl2RVRMYU5IaExYN3NYeXJlNWIvSEtiQTdoZWhRY2RiUnU3Q1RhYy9Cb09C | |
|
|
883 | bi8zc1o4N1MKNGh5U1VrQkR6VkpWRkw0enQ0bVdZUlVLSmo1amlHZ1pQY0pmOWFSczUwaXFtMXl2 | |
|
|
884 | RzdnbDh1dGg4eXhwekhyQjRuZlRpUk1uTW1mTwpISDFIWjF4TkgyM04raTc1RCtPQ1o2Tm9HVmJS | |
|
|
885 | d2xoZDl3UTBxUWErMzUvTG5oclhTSnF4RnBNQ0l3OUIwVXRBdTJnMUVtdXhHT2Y4CjZxdXYwdERR | |
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|
886 | d0hQUFBZZVB6K1dhdHJvT3BZdlZWbGJnU1hNZjlCRGI3RUV3UzlGM1ZJUEhpYUdzTzZuL2pVeGJD | |
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|
887 | RFpDd2xvb1htUDUKV0ltMnNHak9MaFZTRnhnR2dmdEZxK2hBVlh5b0ROTEgvVDNHT0M3cU9IUXU2 | |
|
|
888 | dHhBRmgySUV5M0RxZlEyUWZ0Zm9ieFN0QkpKZDdDNApySEhMTGJkWTlaZ3U2TjlmVTV2empVRWph | |
|
|
889 | TkhRK25kWGVOT0hUM1FjT3BmUWtNQ2lYUU5FeTNBcTZVWTQ5eG9ja2Nhc1c3cWNPVi9wCkdudjY5 | |
|
|
890 | R25PblR2WDhYaDFkYldZRHRuMm9MZUduQms0YkE1RkQwc2FteGlKcGo3VmJDRHVVamh2YjgxQXIv | |
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|
891 | cTd3NmdXMlBBaXRHdi8KYzE5eUU3bzA1L256NS9QNjY2OXo0c1FKaGc0ZDJ2RjRRa0lDeno3N3JG | |
|
|
892 | UEUyWjFvRFMxcG1DTFpINkI5WS9ZZ2kwMDZEWjJMYkEvZwpveTA1WEdyWGQweTJ0U2hBM2drb1dp | |
|
|
893 | QmFpY1FlZEduT3p6NzdMTTgrK3l4ejVzemg1ei8vdVRNMU9ZYW9QdUNybmZyTkY4eFpxRXFMCmFC | |
|
|
894 | azN4WUFuSzlCbk41QkExWXQxNVNQY3BtTzJ2d0dTUzZIb005RktKUGFpeXlsRldWa1pKMCtlN0RE | |
|
|
895 | bXp6Ly9uSWNmZnBpNWMrZlMKMEtERDBsWDl0TFVadE4rcy9kS1VUWXpoTUI2aVpkaU1wMnJrOEhm | |
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|
896 | RE9WQ256eG0vclFRWUlPWWZzRmthczB2UnBUbi8rNy8vTzU2ZQpsMmNkKy9mdjU3SEhIdU9XVzI2 | |
|
|
897 | aHZMeWMzL3ptTjA0VGFEZml0Uk5MM09hZHpFa2ZiWWNpZWhMQ0J6b01uVk5VYUQrYXhhYnFFTkZT | |
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|
898 | Cm5JSVJTTm9BZTh0RUs1RmNUWDE5UFQvKzhZL3AzNzgvQXdjT1pOT21UVGFQMGVXeVJsdGJHNkdo | |
|
|
899 | b1FETW1UT0hSeDk5bEVjZmZaU0gKSG5wSWYrbmNCaU5FYUdmYityUjVFS0R0VGRYRGpLTmVoL1V6 | |
|
|
900 | d3MrbThrNVZqR2daVGlQM0lCU3ZGcTFDY2oyLy8vM3ZpWStQWi83OAorWmhNSnVycjYyMGVvMHR6 | |
|
|
901 | TnB2Tk5EUTA0T3ZyeS9MbHkvbjQ0NDh2bjJBeTZTLzJ1VThLZU80U3JRSUFGUU43ek5yZVJ2ZW1M | |
|
|
902 | OHZSCjM4d3pvYjRQODNZbmlaYmhORWJYd05vbG9sVklPbVBObWpWczNMZ1JiKy9MeTVkQlFVRTJq | |
|
|
903 | OUhsMU9paGh4NGlOemVYVzIrOWxiNTkKKzVLVmxRWEF2bjM3Q0E0TzdxWmtRZlFORmEyZ2c1YUFi | |
|
|
904 | R285dExQRTBobkZqRUJ2b1dmeExaRXMzSktHM25SM2wrRnRzUFkxMFNvawpuWEhzMkRHYW1wcVlN | |
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|
905 | V01HT1RrNXpKNDltNmFtSnB2SDZYTG0vSk9mL0lRSkV5YXdkKzllUm84ZTNmRzRxcXE4OGNZYjNW | |
|
|
906 | TXRpcml6Cm9oVjBjTUtjQUp3WExhTkxUT1JRaHE5b0dUWVIxUmJFZTF1eVhhWUR1Q1dHR0dIem41 | |
|
|
907 | R2RTeHpNOTlXZEJ4SFVGVy9oNG9iTzY5d0QKTkRVMXNYZnZYbDU2NlNWdXZmVldmdnJUbi9MaGh4 | |
|
|
908 | L3l5Q09QMkhSOVJWVlZ6ZitKRlVWQm5kck5rNzM5NGFrR01JcXYrS0lhL1BoaQpZRDR0Um0xV29U | |
|
|
909 | UGd4UXAreERFZFJXZ0VxOTVzMkRhV3d4ZDlSRXR4Q24xTWNQWTFxRDBqV29tRytWYWhwN2FtS0Fx | |
|
|
910 | c3RYS00wVGRlCkx5VWxoY3JLeS90Y3ExYXRZc21TSmJ6MzNuczJhWEQ5cVVaU3NpYU1HYUErYUlS | |
|
|
911 | bWpSbWdnYkc2TW1ZdjFjamV5aEZ1WTh5aFJtaDUKUnhxekh1alhyeDhsSlNXMHQ3ZXpjdVZLYnIz | |
|
|
912 | MVZwdkhjSDF6VHRUT1YvVERack5vQ1YzaVNSZ2ZFQ3RhaGsyMEh4M0dsak02Mi8vbwpKdDRLUks2 | |
|
|
913 | RzQvdEVLNUZZdzhzdnY4d3p6enhEWm1ZbTN0N2VQUERBQXphUFliRXFuZTZKT1NaYUFRRHRIakVj | |
|
|
914 | OE5kdXV2WkJ4dEtvCm82cHpDYzNSekt2cUpWcUdVMUNBSWR1aHRGaTBFb20xOU8vZnYxdXh6VmZq | |
|
|
915 | MmpQbjRFZ0kxRWFqdEF2bVlab05KUENtUDUraDNWbjkKOVhpcFJyN1luU1phaHRQSU93R2xuNGhX | |
|
|
916 | SVhFMnJtM08vZnRxeGhEM21iVzdsbHRFTHBxNVVWWVFkSFlnaCtxMHMxemxTUElhWkNFagpkOFcx | |
|
|
917 | emJtM2FBR1hhZlVaekNsdmJXWUVHaG5PVnZTem9SYlZGc1JmSy91S2x1RVVzb0IxTDR0V0lSR0Zh | |
|
|
918 | NXR6bERaMlQ2ck55YUlsCmRJb1JiLzdPUU5FeWJHTHZnWFJhVmRkKzJRS2ttR0RueThpZWYyNk02 | |
|
|
919 | NzdLWTVMQTU3Um9GYWdZMlJQY0xGcEdwOVF4bHBNNjJoTk8KYU9oTjhmZmF5ZlowRkwxTVVEMFht | |
|
|
920 | blJXSlVGaVgxelhuUHRwby9oTmMwQXVGejIwWjg2ZWhQT2hqa0xuQWxSUFB0NDFXTFFNaHhObwpC | |
|
|
921 | TThQNGV4eDBVcjBTWDZDdHFzOTJvTHJtbk84Tm1wT0h3L1JwZ0h1WXl4Tk92cnpxeWRUT2RQazJv | |
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|
922 | WHpQUlRvVXdpSGRvaFdvajg4ClRTckRnNytuYUxGMnFrLzJGUDI4TzIzQmFJTHczYUpWb0JvQytT | |
|
|
923 | NndSclNNRy9CaUFLdlFUL0pHWEdzWUgrMlBGeTNENFF6YkErVmYKaTFhaFAwSURWZnJWSDJMako0 | |
|
|
924 | ZEZTN0Vycm1uT2lRUEJRL3pNK1dMd2NGb05XdHZSVVNqVVVlaWNTVlhZVUptT1h2UjJsOUhuWUtO | |
|
|
925 | dApwUmNrUUZKVU8xNDdkMU94UWZ6K2tyMXhVWFBXeHF6d2tObjJHcTZPeHNBSXl0RitpNndyUk5Y | |
|
|
926 | MFo5ZjVRTkV5SE1ySVM3QjJqbWdWCittTlluMHVjWExtTkV3ZGRjK2RVUDF2MXRxQ0JFcUh0bm5G | |
|
|
927 | VStaMUhTek0rSXo1OFJJcG9HVllUMnU3SDBncHRoaUhhaXd3RGJIcFIKdEFyOWtkK25ubldMZDZG | |
|
|
928 | cTdZdXBIWEU5Yy9ZSkJMUDQ5ZVp6d1ptZ2FLdW9mZzNqcU5aUi9ZenF3MmswdHVsSHI2MGttV0Qv | |
|
|
929 | LzBMYgpKZEZLOUlQUm9ESTg5Q3hGQlFkRVMzRTRycmVzMFQ4WkRPSkxWTzhOMGRhdDlTS0tEOUZH | |
|
|
930 | ZUtFMTlHN3F4WmRIbzBUTGNCZ1JKcmo0Ck50U2RFNjFFUHdUNnFxUzJIMkg5aDY1dnpPQ0tNK2Zl | |
|
|
931 | WHFJVmNNazNqVE5ldGpkMGRDUjdHRU9MVGo2TGZWUVRLeXVHaUpiaE1Qd00KRUx3YzloNFNyVVEv | |
|
|
932 | eEllM1k5aTFsKzI3dFJmOTVDajA4VzYxaFY1SFJTdmdsTG1mYUFuWDRNVkF2a0EvbTJwK1p3Wnlw | |
|
|
933 | RjQvOVQ1cwp3UUNrbE1MZU10Rks5RU5hUWlzMTM1UlQ1VWJHREs0MmN3NkpCdjhxb1JKVXhZTTl3 | |
|
|
934 | YlkzYzNRY0JyNG1DeTF0VE42TTZMWmczcWxNCkZDM0RZWXc0QXVzL0U2MUNQNHhNYkdUVGtsMjBY | |
|
|
935 | WExobmI4dWNLMlpzd1pLaERZSDVOSmdhaEVyNGlvVVJySkxKNkZ6aWdvVit6SmMKdGxIcjZJdXd2 | |
|
|
936 | a0MwQ24yZ0tDcjV2YzVUL1BZT3R6Um1jRFZ6VGhEZm4rOW9pSFkyM1V6NDhURURSTXV3bXZqNlJF | |
|
|
937 | cXE5VlAwM3haeQpWVmo3aW1nVitzRFBXMldvNTNHS2x1NFZMVVVvcnJXc0VTWDJqNmthZzlrYm9K | |
|
|
938 | MVdWT2NZeDJtZGhNNEZxZDY4djJ1UWFCa09ZYkFKCnR2NFJFQjlFcEhtaVExVDhEKzVuOHpZWnh1 | |
|
|
939 | TFVtZk95WmNzWVBYbzBnd1lONHEyMzNnSmc1c3laeE1iR2twR1JRVVpHQnF0WHIrN2UKNExIOXdW | |
|
|
940 | dHM4a2xkOEhEYU5CREdCK0JGREIraG4xQzBsaE9wWEdqUmJyZVk3aEp2Z3VOdlFJdTJRdDQxeWNE | |
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|
941 | WU5pNXQyc2srRnpIbQp0clkyTWpJeW1EaHhZcmZPZDlyTXVhYW1obG16WnJGcDB5WThQRHdZTjI0 | |
|
|
942 | Yzk5OS9QNHFpOE54enovSGNjOC8xN0FMOW9nQ3hNK2VEClpuOUFHenZLRll6bWtrNVdyZUl2UlRE | |
|
|
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 | |
|
|
948 | UVVXUmFCWGF4c3REWlhqUTk2eDFvUnJNVi9qRkwzN0JTeSs5aE1IUWZZdDEycktHbjU4ZnI3MzJH | |
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|
949 | ai83MmMrb3Fha2hOVFVWYjI5dgpmdktUbi9ELy90Ly9vN2EybGwvOTZsZk1ueitmWC83eWx6ZWNQ | |
|
|
950 | M1BudjM0ZUV3RmpJcTk2c2xkZjhCRDdCejRTcUkyTk54T1pWQ0krClM5SWFBbFV2M3F2VVZzS09Q | |
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|
951 | Y2l2aHFLUFJLdlFOZ25oN1hnZE9NREdMKzJ4dnJ6MW4vL3NUR0VYang4cWhLcXVub1RQUHZ1TWlJ | |
|
|
952 | Z0kKTWpJeUtDenMramhMS0twZDFoUnM1NEVISHVBLy8vTS95Y3pNN0hpc3ZMeWNKNTk4a3VMaTRt | |
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|
953 | dU9WUlFGZGVwTkJzc2VDV09MYjNLQQpZMUVWSDFhbTV0R3VnY25xSGg2a1VDZExHcEZuQjdHNFFq | |
|
|
954 | K2hmdFl3cWhuVy8wbTBDbTB6UExHSkhSOVZVRi9iNnFBcjVQWjRxVlJSCkZCaHI1UmpmS3RkYzd6 | |
|
|
955 | ZS8rUTN2dnZzdUpwT0pwcVltYW10cm1USmxDa3VXTExGSmcxTjNqS3FycXdGWXMyWU5PM2Z1SkRN | |
|
|
956 | ems1TW4KVHdMUTJ0cktzbVhMdU91dXUyd2ZPRXhzUkdDcmI0b21qTm1UY0FyUnh4S0JuK3JCSi90 | |
|
|
957 | Y0t4TndtQUxGc3Z4bmwvaDRxb3dNUGMzRwp0OHNkYU16aWVlR0ZGemg2OUNpSERoM2kvZmZmWjl5 | |
|
|
958 | NGNUWWJNemc1enZtKysrNmp1cnFhZ0lBQUZpMWFCTUN2Zi8xcnRtL2ZqcWVuCkovbjUrY3lZTWNQ | |
|
|
959 | MmdVUEVkajI1Nk5zTEVOL0V0VVpIYTgxQk5VblV1RkRvM0FBVDdINFJWUEY1VUpxa2IxUTc2cTU5 | |
|
|
960 | Rk8vVXhxYTUKTTFHNnVSY2xiRm5ERml3dWEvd3NEdnpGRlR6YWwvQkRLb1BQQzd2K1pReDh4cU1j | |
|
|
961 | US91RzU2MmFXRmMyM21VYXRrYWJvSFUrbkJaZgpjMHVUak9yYlNObXlDcG9iblBYSkpYWlp3MTdv | |
|
|
962 | UDBQUXd4dDh4YjRyanZ1SkwzVGt5V0JkR0ROQVdGMml5eGh6b0FGOFA0WUQwcGh2CndOOWJaYkRu | |
|
|
963 | OTZ4LzY0aG9LYnBFSDFrS055TXFRZWovb3Qwamxsb1A4ZWxmM3pGUXRBU3I4RlFOZkxZM1NiUU11 | |
|
|
964 | MkJTSUhFZEhOZ3UKV29uMlNPN1ZodmxBSlp1V1MyUHVMdnFmT1VlRkNyMThrNi80VURBUGduV1Rk | |
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|
965 | QkpWMzRlVERmcW9rbWVKbkgxUS9KVm9GZG9qdjA4OQpHNWJ1cHJYRmRaSktSS0IvY3c0VCsxVyt4 | |
|
|
966 | aThFNkY1NnByMW9ZSmd1eW15YVZJVXY5b3IvTUxNSG95L0EycVdpVldpTFlIK1ZmcTBuCktDbzRK | |
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|
967 | bHFLUzZEOWQ3UWxRc1F1S1p6eUZYOEwxeEluV29KVjlHcE1vT3FpcjJnWlBXWkVHNng5VGJRS2JU | |
|
|
968 | RTRyZzN2blJXVXJaTEcKYkMvMFAzTU9FbGRWUmxVOE9lRWpkdGJzUlFyNzBmN21ta0dGYi9mMUZ5 | |
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|
969 | Mmp4NlFab2VTUG9sVm9pOUc5NjFqM2JpWHRyWm9QL05JVgo0cWQ5UGNIa0NYN2lOaHphZkpKcE5Z | |
|
|
970 | aGRWenVJUG1vZ3h6ZkY4WjNPYTJna211RFFxOUIyU2JRU2JSQVdxSkpoT01MYVJidWxNVHNBCmZa | |
|
|
971 | dHpWTUxsS1prZ0x2cUtYVTR3NGMrWDZLTnpTUEVCZmFkcGh4bWhhVEhVdWthcDRSNlRudEFLbTNl | |
|
|
972 | eTdldVRvcVc0TFBvMjU4Z3cKb1pjLzZ5ZDJKbmlKWVRUcjRFL1l1em1HSGVmMDAvMzdlbndORUxZ | |
|
|
973 | U1R1d1hyVVE4Qm9QSzZMZ2F0cit6aFRQSHhZZVF1akw2WG5NTwpGN3ZXZXNKWGJNcDJNUWxDcjI4 | |
|
|
974 | dG13L3FkOWFzQUFNM3crWk5vcFdJSjhxc0VuNzZNR3VYeU80QnprRDcwNjZiRVNJdU0wODFSWExl | |
|
|
975 | Cm8xN1k5YjNwcTR1dTJna3RrWlNkMXNmU1MyZU1PZ2FiVjRoV0laNWhmVnBvV2xmT3puWFNtSjJG | |
|
|
976 | dm1mT1FkWENMdDNzMjE5b2NmMWoKREJGMmJWdllkVGhadElSdWsxOFBSVytKVmlFV0Q1UEs4SWp6 | |
|
|
977 | RkJYc0V5M0Y3ZER2ek5sb0FyL0R3aTUvd1M5QzJMV05lTE1hc1ptUgoxaERYR3NiNms5clgyUms1 | |
|
|
978 | UU5Fcm9sV0lKUzZzbmFTYWd4VDlWUnF6Q1BScnpwRUpZQlFYeGxidEs2N3ppY3BRTHFLTnppczM0 | |
|
|
979 | K0FSCmZjNmFCNWxnKzR1QUcyY2Y1eVkyYy82cmNpcEx6NGlXNHJibzJKekRoVjFheFNnMCthUU03 | |
|
|
980 | UmVwNzlWcVpzMHhjWCtqN2hKbmdwUC8KQjgxaVM0UUx3OHREWlZURUdUYTl2WjJMRjFwRXkzRnI5 | |
|
|
981 | THZtSENHdVQxNmJ6d0JhakdLcXFuc1JSeGsrUXE1dEN5ZVBKNk9Yd3Y5WApDRGFDNFQwNDk3MW9K | |
|
|
982 | V0pJakd6SFVMbWY5VitLcmswdUFUMmJzMWxjR0Z1RGJ3SWd4cHpQa0liV1RTK3FMWWhGaDZORXk3 | |
|
|
983 | QUpUd1ZpCnY0WmRGYUtWaUdGa1loTmJQNmlnOGFMcnRvL1NHem8yNTlQQ0xuM09OeEFRTTd2WWl2 | |
|
|
984 | YVhDczZmSElEV1AwQ3VKN01DTmhXS1Z1RjgKL0x4VmhuaFhVL3gybFdncGt1dlFwemtiakVJak5V | |
|
|
985 | NzRpU211NEVrSWxScnZkaExSN3MrU2c3MUV5N0NKL05OUTlLRm9GYzZuZjB3Ygp6VnYzc2JHeVJy | |
|
|
986 | UVVTU2ZvYzBNd0loNk1ZcjUrcVVZelp6ekZiQWEyMFIrdHowZ2JUdzFBMWJqR3F4blZBa1Z2aWxi | |
|
|
987 | aGZQSVNHNmo2CisxWU9TMk8yTzBlUEhtWHMyTEVNR2pTSU1XUEdzR3pac202Tm84K1pjMVFFY0Vq | |
|
|
988 | SXBadDlVNFFsbnh3alZzaDFyU1ZFOWVXRC9mcW8KTFEwd1ZJRU5MNHBXNFZ3Q2ZWVlNsSk9zZTFz | |
|
|
989 | MlBYUVVIaDRldlBycXE2U25wM1BtekJteXM3T1pPSEVpQVFHMmRTdlM1OHc1WEZ5awpScTFmcExC | |
|
|
990 | cmJ5WkkyTFd0UVQzZG4xWlZIeStwL2lhb2ZBWGEzV2ovYTJCc0d3RjdkbFB5bVRSbVJ4SVZGVVY2 | |
|
|
991 | ZWpvQVlXRmhEQm8wCmlNMmJOOXM4amo1bnpxSGlDdXFlOXZVRW5GOVR3NHRZam12NHp4V2tldlAz | |
|
|
992 | dmZvb3hCUmxnZ3NMb0tGV3RCTG5rZC9uSXNYdlZ0SjIKeVkwemEyekVhRVVXa3NyTmM1WDI3OTlQ | |
|
|
993 | UlVVRjJkblpObDlmdSsvMm14RWtKbXRKUmVHNDcwVWgxMjVDMngyclBjLzJvNmxkKzFtTApBUWJ3 | |
|
|
994 | L3p2c2Q1T20wQ0VCS24yYWpsRlVjRUswRk4zUnRxZXE4eWVhTjBGTGljWHo2K3JxK09FUGY4aXJy | |
|
|
995 | NzZLbjUrZnpkZlhuemtyCkJ2QVhFNm5SN3QyUEpxT1lXZnRCdEJzMzdLOTY4cmU5ZlVUTHNJZ1JT | |
|
|
996 | Tm9BMjdhS1Z1SWMwaEphK2Y2YlNyWWNjZE4weDU1eXNxdHcKM2I3Ly9IZUZPVGNjY2VuU0phWk1t | |
|
|
997 | Y0xERHovTXZmZmUyNjNMNjgrY3crUEFKTWFjRzN6N2NQbUxqTE14VUlKMld6ejVuMCtpdmxYNwpM | |
|
|
998 | NlhjQTFDOFdyUUt4Nk1vS3ZueGRSUXRxVVNWcXhoT1IxVlZwaytmenVEQmczbjIyV2U3UFk0K2Rt | |
|
|
999 | K3VKa3JjaHR4NVh6RWJjdDRrClVxdlJRa2UrcWdlZjdPMXIrVURCakw0QXhlK0tWdUY0SW9KVmhy | |
|
|
1000 | UWZadTFpYWN5aUtDNHVadW5TcFh6enpUZGtaR1NRa1pIQjZ0VzIKendxMFA5MjVubkJ4QmVaUCtv | |
|
|
1001 | bDV0ZGRxdU5DUnVTYVJDeTNhVG93WjNnWnJYeE90d3ZGazlyNUUxZWU3S1Q4bHJnbUZCRWFOR2tW | |
|
|
1002 | NwplOCs5UW4vbUhDb28rY1FReUNtdkdrUWtnZXhCWE8zb20rR2xHbG14VjlzYmxXbEdLUHVUYUJX | |
|
|
1003 | T0p6K3VocUpGZTBUTGtOZ1IvUzFyCm1NOEt1V3lMb09RVEExNXMxbWdWdXNpTGZhaHVFaGR6Ym9r | |
|
|
1004 | K0pqajBPclNLYmZYb2NFYjNycU5vaVRSbVYwTmY1cXdvNEY4bDVOSjEKZnRGQ3J1dEJmMW8wK0dj | |
|
|
1005 | eXFRWlc3dTBuV2thWGhCbWhaVEhVdW5pdCtCR0pUYXhkdEZ1MERJa0QwTjY3L21hRXhZSkp6RFRv | |
|
|
1006 | aksrWQpHZUlaalhiWTd0V1F3TEY2YmM3b2ZRd1EvamtjM3k5YWlXTkpUMmlsWk1sTzBUSWtEa0pm | |
|
|
1007 | NWh3bEx0YjNtSytZVHR1N05OZ3IwS0FxCmZMVzN2MmdabmFJQWc3ZEE1VWJSU2h4THYraDI5bis2 | |
|
|
1008 | VTJiOHVURDZNdWR3WHlHWGJmZnNRNFBKK1MxN1BBaWtITzJ0NmNZM3huT2cKenZhTUoyY3c2amlV | |
|
|
1009 | TFJldHdyRkVtVlZxMTFmSU5sSXVqcjdNV1ZCTmpVWS9VUkVKMml0YXI2aXc5b0EyWjgzNURiQnVv | |
|
|
1010 | V2dWamlYUQpWOFZ2L3o1T3lhdy9sMGRmNWh3c3B2dkllZDlnSWRjOWdmYktieVkweDdMN3ZHMmxE | |
|
|
1011 | NTFCTmxEMHNtZ1Zqc1hEcE5Lbi9qQUhkc2dlCmYrNkF2c3c1UUV6YTl2ZCtJbEsyWVF0aVBoUnV4 | |
|
|
1012 | cVlEQTBSTHVJR0JKaWgva1p1WEIzTUJodm1kb3J6d2xHZ1pFaWVoSDNNTzdRVWUKenY4cXB4cDhP | |
|
|
1013 | ZW50L05xU1hrUlNwYkdXVkFuTlVXdzdxNjJhMG5FbU9QVVhhSGJ4Yi9tall5K3c4Vk54cmRra3pr | |
|
|
1014 | Yy81aXdvVXFQVgpaeUNxZ0dYZkZyUzNybHRlbFN4YXdqVUVHY0g0SHB4MThXcVllWWtOckgzM085 | |
|
|
1015 | RXlKRTVHUCtZY0xpWTZvTTR2UnNoMUR5TW02YVVyCjRpOUZzUEZVaUdnWjE5Q3ZCS29xUkt0d0xO | |
|
|
1016 | bDlXbGhYSUdPWjNSSDltSE5vbTVETG52RVZrV2loVUVxZ2dPdDJ6WGVIdGJYV25HYUUKelorSlZ1 | |
|
|
1017 | RllCc1cxVWY3K0RqRlZhaVhDMFk4NW04WHNVQi8zZGY1aXBqZTlPYU9oRXFHeHJhRVVuZ2dUTGVN | |
|
|
1018 | YUxuMGhXb0ZqU1Fodgo1OFRxWFRRM2lKbVVTTVNqSDNNT2NINWZvWGJQT09vOG5KOHVmbEZqSlVL | |
|
|
1019 | UEhOVld2SFVXc0h1OWFCV09JelJBcFgzN0hzNVh5OUtmCjdveCt6Tm5UK2IzN21uekZGUGJaajdp | |
|
|
1020 | R0F0Y1QweGJNRjBlMW8wY0J6bjBxV29YajhQRlVpVGgxa0tONzYwUkxrUWhHUCtZc2dBdSsKenQ4 | |
|
|
1021 | QVV6QlJncGcwOWM2b1BxNnRXZlB3Tmppd1hiUUt4MkF3cUF4U2psTlo0dUtsOUNSV0ljMzVKcHp5 | |
|
|
1022 | ZGI0cGVkS2ZSbzJzTjBlMgpCL0NQS2pIUktwMWhVdUR3KzZKVk9JNFJZV2ZadlBxNGFCa1NqU0RO | |
|
|
1023 | dVF0VXhZdmpQczVQUGpsUGI2ZGZzeXZxVG1wczF0d0l4L2VKClZ1RVlSdmV1WS8wSEIwVExrR2dJ | |
|
|
1024 | cDVyenNtWExHRDE2TklNR0RlS3R0OTRDb0s2dWpudnZ2WmY0K0hnbVRackV4WXZPWDF2dWpGYWYK | |
|
|
1025 | Rk5vTjNZOWgybGw0cmx2blZTQXVLdUpzNGE2T244UGEvZmowUUt3d0xkZmpZNERLNnh1MG5pOFVJ | |
|
|
1026 | YVZuZEtKWit3WHp0NG9Xb0R1Swppb3BJU1VtaFg3OSt2UEhHRzkwYXcybm1YRk5UdzZ4WnMvajAw | |
|
|
1027 | MDhwS1NsaHdZSUYxTlRVTUhmdVhPTGo0OW0zYngreHNiSE1temZQCldaSnVTcjF2ejR4cFY2SHRv | |
|
|
1028 | WDhtL05nbXNFVG91Y0ovWlhSY3F1NVBtNGErV0dWZGdEUFhmK08vVUNoQ1NzKzRUck0rQ3VaTGM3 | |
|
|
1029 | YVYKWjU1NWh2bno1N05telJyZWZQTk56cHl4ZlIvQmFlKytEUnMya0ptWmlkbHN4dC9mbjdGang3 | |
|
|
1030 | Sng0MFpLUzB1WlBuMDZYbDVlVEpzMgpqYlYwbm1NQUFBa0xTVVJCVkpLU0VtZEp1aWxuL1p5ZmtX | |
|
|
1031 | aGdBTzBhTUVTejZzUGY5bXVuQTB1UUViWXZGcTNDL3NpQythNUpUVTBOCkFQbjUrU1FrSkhENzdi | |
|
|
1032 | ZDN5OWVjMW4wN1B6K2ZwNTU2aWtPSER1SHQ3YzNubjMrT2w1Y1haV1ZsSkNkZnJ0bVFuSnhNYVds | |
|
|
1033 | cDV3UDQKWkRwTEtnQjF2dEVFOWFBTGlUZm5DY0syT3REbkdFeVN3RXAwWi9FbWlXQjhMaVNTNml2 | |
|
|
1034 | K1ErSUt5V2RoVHloYy8rYzRXUXZSMm0xagoyQ2xYTkh0N3FQaFdIU0lnMFlRVDM0YmQ0dVJKRDZL | |
|
|
1035 | anRSTkJaSW10ZHByb0J3VlozcGkvZEVtbDRibzh0YXM5RFdEZ3dJRnMyclNKCkNSTW0ySFI5cDcw | |
|
|
1036 | cS9QejhlTzIxMS9qWnozNUdUVTBOcWFtcGVIbDVvYXJXcmVzcUE1ejkxYXJuMTFzOHE4ekdNLzdT | |
|
|
1037 | NDJ2MmxOSloKUzBSTHVJR2IvU1ZPYnBubE5CMzJRcGVhVDg0VkxjSHAxTlJrV1hXY3Y3Ky9RNjd2 | |
|
|
1038 | MUkvc2lSTW5NbkhpUkFBZWVPQUJ4bzhmejlhdApXNm1zckNRakk0UEt5a3F5c202OElkWWF1RVFp | |
|
|
1039 | a2RpRG5uaE9WbFlXdi9yVnJ6cCtyNmlvWVB6NDhUYVA0OVR2cnRYVjFRQ3NXYk9HClhidDJrWm1a | |
|
|
1040 | U1U1T0RnVUZCVFEyTmxKUVVFQnVicTR6SlVra0VvbGRDUXE2WFBPOHFLaUlxcW9xdnZycUszSnlj | |
|
|
1041 | bXdlUjFHZE9DM04KejgrbnVycWFnSUFBM256elRiS3pzNm1ycStPaGh4NWkyN1p0WkdabXNuVHBV | |
|
|
1042 | b2Q5VFpCSUpCSm5zSGJ0V3A1NDRna3VYYnJFejMvKwpjMzcrODUvYlBvZ3FrTFZyMTZySnljbHFV | |
|
|
1043 | bEtTT21mT25CdWVyNnlzVkhOemMxVXZMeS8xNVpkZnR1bGNSOUVUelFrSkNXcHFhcXFhCm5wNnVa | |
|
|
1044 | bVZsT1V1eVJjMUxseTVWaHd3Wm9nNFpNa1NkT25XcSt0MTMzMWw5cnRiMGF2VWVmL3JwcCtxUUlV | |
|
|
1045 | UFV0TFEwOWE2NzdsSkwKUzB1dFBsZUxta1hjWjJ2dlUybHBxV28wR3RXUFAvN1k1bk8xaEZCelRr | |
|
|
1046 | OVBWOWV1WGF0V1ZWV3BBd1lNVUUrZlBuM044OVhWMVdwWgpXWm42MjkvKzlnYWpzM1N1RmpYMzd0 | |
|
|
1047 | MWJQWHYyckZOMFhvMGx6UnMyYkZBdlhMaWdxcXFxTGw2OFdIM29vWWVzUGxkcmVyVjZqeTllCnZO | |
|
|
1048 | anhjMkZob1pxWGwyZjF1VnJVTE9JK1czT2ZXbHRiMWJGang2b1RKa3k0eHB4RjNlT2VJQ3hleXBw | |
|
|
1049 | WXdQRHdjSVlORzRhSGg0Zk4KNTJwTjh4VlVKMjl1V3FONStQRGhIZXRrRXlaTVlPM2F0VmFmcXlX | |
|
|
1050 | OVY5RGlQZmE3S202K3BxWUdiMjl2cTgvVm11WXJPUE0rVzN1ZgozbmpqRGU2Nzd6N0N3OE50UGxk | |
|
|
1051 | ckNEUG5ybUlCSFgxdVQranBkUlZGWWR5NGNVeWFOSWtWSzFZNFF1SU4yS3A1d1lJRkhSRTFJdTV6 | |
|
|
1052 | ClQvU0N0dS94SjU5OFF1L2V2WmsyYlJvTEZ5NjA2Vnd0YUY2d1lFSEg0ODYrejlib1BYNzhPTXVY | |
|
|
1053 | TDJmR2pCa2RHcTA5VjR0b08vcmQKeFNndUxpWTZPcHJLeWtvbVRweElkblkyVVlJYTEzYkdtalZy | |
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1086 | Cg== | |
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|
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> | |
|
|
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1305 | K1UxMFdwdytWCk4rSDQvOENvcWFDZURkbmlaanNka2RpYk13VGJheTRzRzVOSm9kMUZtc1hXY1Bl | |
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1584 | ZGgrc2ZSUUFBQUFCSlJVNUVya0pnZ2c9PQo= | |
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|
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 | |
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1813 | aisvalBnbmdRTkdQMUFIbUdCaEt3WTl3ZkUzM05IcmpSb1UKT0ltczQ5ak1HbTBZM25LK0FJM3FL | |
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1816 | a0p3V0ZoSXVzWUp0TU56UUlOCjZNWTZobDAwV1p3Ly8veHo1T1hsNGNjZmYwUktTZ28rKyt3emUr | |
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1818 | Z25BMm9uTzhiOGhDYUxjMDFORGZ6OS9RRUEzYnAxUTNGeHNkMUNTVUhHVnlVWVlMZ0dsY0FMZEd0 | |
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1821 | QUt0VngxbEVzY3A0SXVFcW1JSkIrelRxS1NXcEdIWWZYeVVDUUtubFAKcDI5T2s4VjUrL2J0ZDMz | |
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1825 | L1VLNXhkbnFDeCtscHFiQzA5TVRUejMxVkVOeGZ2ZmRkM0hwMGlVc1diSUUKTDczMEVycDA2WUtY | |
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1833 | YmJzMWZkOFpGamNaYld5dDFaamw2bEpmQjE1d1hhWXY4L2kxQzVCWnBnYWRWSWVOTjIKcklOWXBJ | |
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1834 | Z0lLQ0ZUV2NjdzJkN2FOQ3c0MFE0TERnQUxEckJPWXowdEZ1Y2pSNDVnN05peERYZTRSNDRjd1p3 | |
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1835 | NWM4eDZrNWlZR09Ubgo1d01BOHZQekVSTVRBd0NJalkzRnlaTW5HMTUzNnRTcGh1ZnVOZnVPajZa | |
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1837 | ZFFvSkIwWlYxREpNa0RGUGhYNnZiNGJWNEFRc0dzVTVqUFMwVzU3ZmZmaHVMRnk5dTJJRTcKTWpJ | |
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1838 | U3ljbkpacjFKYkd3czFxMWJCNTFPaDNYcjFpRXVMZzRBTUdEQUFQejg4OCs0ZVBFaWtwS1NJQWdD | |
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1839 | dkx6azBYNTA2V1FOS3I0NgpoYWhncFE0T3N3ZUMzNWE0SVRiYnJmbDFCR1RxdU1FWFdkckpFS2o4 | |
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1840 | MWhuUkU0SlU0ZDZOTnFUSzBPRU14SUhTR3VuVldpMFc1NUtTCkV0eC8vLzBObjlmVjFUVzd6c2Iw | |
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1841 | NmRNeGFOQWdGQllXb2xPblRsaS9majFtejU2Tml4Y3ZvbGV2WGlndUxzYXNXYk1BQUlHQmdaZzkK | |
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1842 | ZXphR0R4K09PWFBtWVBueTVWYjRrdXluNnJvQmVTdE9JaUZJeHpxS3JLVnVkRUhvRG5mSTQ5ZXll | |
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1844 | ZnQyckZ5NUVqNCtQbmpsbFZmc2xWRVNRK2xha2pDek05SjFQaEFWCnZaYUViWFdQTU1MNHJCWWxD | |
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1846 | ZzkKZWpSOGZYMHhkKzVjcXdlUnU5VFBMaUt5NmdxODNKUlhXT3psYko0S05ZczgwTXRnbDBGRWR2 | |
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1857 | WitzVmRNaS9pR0FmWHFBdGxaK3BBcFo1b0p1b25KRWNpNnJqNEcyOHYrVVhTc2hoNG95YlpEenJH | |
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1860 | aVlub1R6MzNITll1M1l0aGc0ZDJ1aGlSUHYzMjI4SFhEbE1RakdWaTFwQXZ6azlrYUhnClpUTnR6 | |
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1861 | Y21GSXY2VldtVDQxN09PWWhVaFFnMW0rbnlCR2xMSk9vckpIaFJyRUVGWHNZN1JLQjhuUGZOSktD | |
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1862 | Ky8vRExVYWpYbXo1OFAKSnljbjFOVFV3TWZIeDd3TXpjMFFGRVVSR1JrWmlJOW51NzZya29yemJV | |
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1863 | T2U3NGJrQ3BrTnFaSVVpbUgvcVVONkJ6M3JJRll4MExrYwpEM2h1UWoyUnlkZERLZWFLbVhCRk91 | |
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1865 | M1FsaUhZdjhoVk1aTlZNdXJiNGJSdUFpQ1g2ZitFWUpzUUJ5aHFISTExWEw1OEdiVzF0Wmc5ZXpa | |
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1866 | aVkyT3hlUEZpaTVaY2JyRjMKWmR5NGNWaXhZZ1h2QkxTQnpHOUswZlhjSmJUejRnWGFJcFRnNkR0 | |
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1867 | cWREY3FvNVB3bTlwdU1OUVBaeDNEWkpjSXdRVUZqMzArcisvZQo2RWZtM25wc2YvVTR0cjk2SE50 | |
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1869 | CjBRa2hkaTNXU216V3VGTmdOelY4SHU2T3duSmxGQmw3NjlSTFJOM2NHdHlFRW43SlVienA4d3Vx | |
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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 | |
|
|
1956 | SmpHbFIrVjRDSVlHV3ZEWjIwMGdVUnRkSy9mOWJCQ1RVU1hSRHBNSndnb2hmcgpHQTJjblozeHdR | |
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|
1957 | Y2Y0TVNKRTlpeVpRdGVlZVVWYURUbXI5RElpek1uV1pWbGVoeGZlUkx4d2NwZEc1cUtCQmVXcStF | |
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|
1958 | dmd3a1Y2N1Y5CjRVeGRXTWU0RnlFNFM2UXo1amtvS0FpUmtiZUcrYlZ0MnhiaDRlRTRlUENnMmVm | |
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|
1959 | aHhabVROR005UmZyN0JVajByZ1JSNkNheVpaY0UKZE5vai9lRjExMFEzQ0laK3JHTTA2bGZpQzhD | |
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|
1960 | NnpTNHFpQzErQ0dqK2UvTE1tVE00Y2VJRUJnd3dmN2FsWE1iemNBNHVaZlVGOUo4UQppSHkvQU5U | |
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|
1961 | VVNmOHUwMXc1TzUweExNS0k5R0E5NnlqTjJsUVRqVWQ5c2lFU2FUVTNWUk9DRytRQitOSHRWanVu | |
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|
1962 | TWFlMDhTZDBHYmMrCldxRFJhUERvbzQvaWd3OCtnSWVIaDludnp6ZDQ1V1NsUjR3M3RQMUNVRktw | |
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|
1963 | dkFMdDdFTFI2NzBhRktxa1BXUHlMWitmb1ZFZFlSM2oKSGoycGlQSGkrOWJiNE5Ya21oTnh6L3ZW | |
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|
1964 | MTlkajdOaXhHRE5tREY1ODhVV0xNdkJtRFU1V3p1UlVvVzVuSVhvSFN1dk96UnJxOVFUVgpxOVdR | |
|
|
1965 | NWlaUnYvdWhScG9kZzRWRWdBSFJyR09BVW9xWk0yZmkvdnZ2dDdnd0E3dzRjekowL1hJZHpxek9S | |
|
|
1966 | MzhGcmcxZGRGS0ZQdG5TCmJuL09OZmpEVjVUTzZJZzduU1RzeDJPbnA2ZGowNlpOK08yMzN4QVZG | |
|
|
1967 | WVdvcUNqczJiUEg3UFB3WmcxT3RyemJ1Y0JqU2krVUtxNkoKZ3lMaGJSMnlmS1M3M3NoSTF4SkVl | |
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|
1968 | WHpCT3NZOVhDakZxOEpDNXMwYTFzRHZuRG5acWlyWEkrQnNpUUpIY1JBY1hxSkdSd2xQNy82bApy | |
|
|
1969 | ajE4eGM2c1k5eERUNlI3emN6Rml6TW5hM2w3cnlPeHJaWjFES3VydmtIZzlyVmEwc09wanRTeWIw | |
|
|
1970 | SlFNbDZjT2RsTFczVU9vUXJjClBQWmt1aE5pQzZRN3ZmdWIycTd3cHNyZnk0OFZYcHc1MlRQV1Ur | |
|
|
1971 | aCtMWUxhUlduTkc4RCtEMTBRS2RucDNRUVg2cVM1bktnUzhPTE0KS2NLRjQ5WG9SMjZ5am1GOWxP | |
|
|
1972 | RDhCMnEwa2VqMDdnM2FYdkNnM3F4aktCSXZ6cHhpcEcyNGhBRUtIRjVYWGl5Z3cwL1MzTnhLRHhW | |
|
|
1973 | dQoxa3QzSTFnNTQ4V1pVNVRUWDU1RmdKZnltamNPN25KQ2ZMRUVGeDBDc0w3NmZyaFNhWS9ObGlO | |
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|
1974 | ZW5EbEZ1WEZGanc2WHI3Q09ZUk9wClMxM1J5eUM5SDlrYmNJVm82TTg2aHVKSTczK2E0MXJwOE81 | |
|
|
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 | |
|
|
1992 | YWZuNSs4UFQweExCaHc1Q1JrWUhzN0d6TW5Ea1RycTZ1bURGakJyS3lzdXdWaWVNQUFLY08zRVM4 | |
|
|
1993 | bDRaMURLdksvdHdGdnF4RAozR0czQXkySVZGbDVheVhFeE1SRWhJU0VZT1RJa1JiVk5idHRYWkNZ | |
|
|
1994 | bUlpLy9lMXZPSC8rUE56YzNMQjc5MjY0dXJvaUp5Y0hvYUdoCkFJRFEwRkJrWjJjM2VueDB0THlH | |
|
|
1995 | NUpTV09pTTRtR2UySld2bXJjNjVpakVUUFhCRmE5dDFLa292QThGZGJmb1cvNDhndk5RVmhSMWIK | |
|
|
1996 | ditIdFpZR2dvNnAxOTNGYU1RZ2hZaFQwZ256V09QSHhhZmxycnErbjBQNWgwNTA3YXhvQTlPN2RH | |
|
|
1997 | NW1abVJnN2RxeFo3MiszNHV6aAo0WUZseTViaCtlZWZSMlZsSmZyMDZRTlhWMWRRYXRxZms3bTVQ | |
|
|
1998 | VzJjMFBwS1N5MXJhMkpKYnBtdG10ZE9yVHFscWEvYjVYMXkzN0hlCnVZb1hMV3oxT2VUMk4zRmxa | |
|
|
1999 | UitUWHVmcDZXbVQ5N2ZycGwvanhvM0R1SEhqQUFDUFBmWVlSbzBhaGR6Y1hPVG41eU1xS2dyNStm | |
|
|
2000 | bUkKaWJuM3p4OVRDempIY1p3MXRLYm14TVRFNEovLy9HZkQ1eWRPbk1Db1VhUE1QbzlkUjJ1VWxa | |
|
|
2001 | VUJBUGJ0MjRmang0OGpPam9hc2JHeApXR0pJNjNjQUFBZGhTVVJCVkxkdUhYUTZIZGF0VzRlNE9M | |
|
|
2002 | NWdDc2R4OHVYamMydE5rWlNVRkJRVkZXSHYzcjJJalRWL0tqdWhkcnd0ClRVeE1SRmxaR2J5OHZQ | |
|
|
2003 | RFJSeDlod0lBQjBHZzBlT0tKSjNENDhHRkVSMGRqMDZaTk52c3pnZU00emg2U2s1TXhhOVlzMU5m | |
|
|
2004 | WDQ0VVgKWHNBTEw3eGcva2tvUThuSnlUUTBOSlQyNk5HRHJsaXg0cDduOC9QemFWeGNISFYxZGFW | |
|
|
2005 | TGxpd3g2MWhiYVUzbWtKQVEycWRQSHhvWgpHVWxqWW1Mc0ZibkZ6SnMyYmFKOSsvYWxmZnYycGRP | |
|
|
2006 | blQ2Y0ZCUVVtSHl1MXZGSzl4dHUyYmFOOSsvYWxFUkVSZE15WU1UUTdPOXZrClk2V1ltY1YxTnZV | |
|
|
2007 | NlpXZG5VNVZLUmJkczJXTDJzVkxDdERoSFJrYlM1T1JrV2xSVVJIdjE2a1hMeTh2dmVyNnNySXpt | |
|
|
2008 | NU9UUStmUG4KMzFQb1dqcFdpcG03ZE9sQ3IxKy9icGVjZDJvcDg0RURCK2pObXpjcHBaUnUyTENC | |
|
|
2009 | UHZIRUV5WWZLN1c4VXIzRzFkWFZEZjlPU2txaQpDUWtKSmg4cnhjd3Nyck1wMThsZ01OQmh3NGJS | |
|
|
2010 | c1dQSDNsV2NXVjNqMW1BMmZkdVVzWUR0MnJWRC8vNzk0ZXpzYlBheFVzdDhHN1Z6CjU2WXBtUWNP | |
|
|
2011 | SE5qUVRqWjI3RmdrSnllYmZLeVU4dDRteFd2czRlRngxK3ZkM054TVBsWnFtVyt6NTNVMjlUcXRY | |
|
|
2012 | TGtTVTZkT1JidDIKN2N3K1ZtcVlGZWVteGdMYSt0aldhTzM3RWtJd2ZQaHdUSnc0RVR0MjdMQkZ4 | |
|
|
2013 | SHVZbTNuTm1qVU5JMnBZWE9mVzVBV2tmWTIzYnQySwpMbDI2WU1hTUdWaTdkcTFaeDBvaDg1bzFh | |
|
|
2014 | eG9ldC9kMU5pVnZjWEV4dG0vZmp0bXpaemRrTlBWWUtiTHJVRHBIbDU2ZWp1RGdZT1RuCjUyUGN1 | |
|
|
2015 | SEVZTUdBQWdvS0NXTWRxc0cvZlBtemF0QWtIRGh4Z0hjVWtqZVdWOGpXZU5Ha1NKazJhaEcrKytR | |
|
|
2016 | WVRKMDdFNGNPSFdVZHEKMFoyWkowMmExSkJaaXRmNXhSZGZ4S0pGaTBBSUFiM1ZaTXMwVDJzeHUz | |
|
|
2017 | T09pWW5CcVZPbkdqNC9jZUtFeWNQb1duTnNhN1QyZllPRApnd0VBWVdGaEdEOStQSDc4OFVlclov | |
|
|
2018 | d2pVek1mUFhvVXMyYk53bzRkTytEcjYydldzVkxKQzBqN0d0LzI2S09Qb3FTa0JEcWREdjM3Cjk1 | |
|
|
2019 | ZkY5L0tkbVFIN1gyZFQ4aDQ2ZEFpUFBmWVl1bmJ0aXUrLy94NXo1c3pCamgwN21OV0xWbVBaNEgy | |
|
|
2020 | N2tmNzgrZlBOTnRLLzl0cHIKVFhZSXRuU3N0Vm1hdWFhbWhsWlZWVkZLYjNVYTl1N2RtMTY4ZUZF | |
|
|
2021 | U21TOWN1RUI3OU9oQk16TXp6VDVXU25tbGZJM1BuRGxEUlZHawpsRks2YTljdU9ucjBhSk9QbFZw | |
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|
2022 | bVZ0ZlpuT3YwOU5OUDArKy8vOTZpWTZXQ2FYRk9Ta3Fpb2FHaHRIdjM3blQ1OHVXVVVrby8rZVFU | |
|
|
2023 | Citza25uMUJLS1MwdExhVWRPM2FrM3Q3ZTFOZlhsM2JxMUlscU5Kb21qNVZ5NXJObno5S0lpQWdh | |
|
|
2024 | RVJGQmh3OGZUai83N0RQSlpKNDUKY3liMTkvZW5rWkdSOXd5TlluR2RMYzByNVd1OGVQRmlHaDRl | |
|
|
2025 | VGlNakkra3p6enhEangwNzF1eXhVczdNNmpxM2xQZE9meXpPcks1eAphOWgxRWdySGNSeG5HcjRU | |
|
|
2026 | Q3NkeG5BVHg0c3h4SENkQnZEaHpITWRKRUMvT0hNZHhFc1NMTTJkenc0Y1B4eSsvL0hMWFk4dVdM | |
|
|
2027 | Y09jCk9YTWFmWDJYTGwxUVVWSFI3RG5mZWVmdWxlVGo0K01CQUVWRlJlalQ1OVlpNlFjUEhzUzhl | |
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2029 | ODFadVBEdW5UblMwOVB2ZVUzLy92MnhmUGx5QU1EKy9mdGxNL09SNHdCZQpuRGs3bURKbENuYnQy | |
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2031 | RUEvLzczCnY2SFQ2UkFWRllVbm4zd1NRT05iQlNVbEpXSGN1SEc0Y09FQ1ZxOWVqUTgrK0FEUjBk | |
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2032 | RklTMHREdDI3ZEd2SlVWVldoVzdkdU1CcU4KdHZqeU9jNGlmRzBOenViOC9mMHhZTUFBN042OUcr | |
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2033 | UEhqOGZYWDMrTnFWT240aTkvK1F2MjdObURObTNhWU5Tb1VZaVBqMGRZV05oZAp4NjVidHc1K2Zu | |
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2034 | Nm9xcXJDMEtGRE1XblNKQ3hhdEFnZmZmVFJYV3RUTkhlM0hSSVNnbG16WnNITHl3di8rTWMvQUFC | |
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2035 | RGh3N0ZybDI3Ck1HSENCSHo5OWRlWU1tVUtWQ3JiYnU3S2NlYmdkODZjWGR6WnRQSE5OOTlneXBR | |
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2036 | cENBc0xRNDhlUGVEbjU0ZXBVNmMydXJyWjExOS8KalFjZWVBRHg4ZkU0ZCs0Y2poMDdadEg3MHo4 | |
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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== | |
|
|
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": [ | |
|
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5 | { | |
|
|
6 | "cells": [ | |
|
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7 | { | |
|
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8 | "source": "# Parallel Monto-Carlo options pricing", | |
|
|
9 | "cell_type": "markdown" | |
|
|
10 | }, | |
|
|
11 | { | |
|
|
12 | "source": "## Problem setup", | |
|
|
13 | "cell_type": "markdown" | |
|
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14 | }, | |
|
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15 | { | |
|
|
16 | "cell_type": "code", | |
|
|
17 | "language": "python", | |
|
|
18 | "outputs": [], | |
|
|
19 | "collapsed": true, | |
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|
20 | "prompt_number": 1, | |
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|
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" | |
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22 | }, | |
|
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23 | { | |
|
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24 | "cell_type": "code", | |
|
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25 | "language": "python", | |
|
|
26 | "outputs": [], | |
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27 | "collapsed": true, | |
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28 | "prompt_number": 2, | |
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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" | |
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30 | }, | |
|
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31 | { | |
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32 | "cell_type": "code", | |
|
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33 | "language": "python", | |
|
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34 | "outputs": [], | |
|
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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)" | |
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38 | }, | |
|
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39 | { | |
|
|
40 | "source": "## Parallel computation across strike prices and volatilities", | |
|
|
41 | "cell_type": "markdown" | |
|
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42 | }, | |
|
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43 | { | |
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|
44 | "source": "The Client is used to setup the calculation and works with all engines.", | |
|
|
45 | "cell_type": "markdown" | |
|
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46 | }, | |
|
|
47 | { | |
|
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48 | "cell_type": "code", | |
|
|
49 | "language": "python", | |
|
|
50 | "outputs": [], | |
|
|
51 | "collapsed": true, | |
|
|
52 | "prompt_number": 4, | |
|
|
53 | "input": "c = Client(profile=cluster_profile)" | |
|
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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" | |
|
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58 | }, | |
|
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59 | { | |
|
|
60 | "cell_type": "code", | |
|
|
61 | "language": "python", | |
|
|
62 | "outputs": [], | |
|
|
63 | "collapsed": true, | |
|
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64 | "prompt_number": 5, | |
|
|
65 | "input": "view = c.load_balanced_view()" | |
|
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66 | }, | |
|
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67 | { | |
|
|
68 | "cell_type": "code", | |
|
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69 | "language": "python", | |
|
|
70 | "outputs": [ | |
|
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71 | { | |
|
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72 | "output_type": "stream", | |
|
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73 | "text": "Strike prices: [ 90. 95. 100. 105. 110.]\nVolatilities: [ 0.1 0.175 0.25 0.325 0.4 ]" | |
|
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74 | } | |
|
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75 | ], | |
|
|
76 | "collapsed": false, | |
|
|
77 | "prompt_number": 6, | |
|
|
78 | "input": "print \"Strike prices: \", strike_vals\nprint \"Volatilities: \", sigma_vals" | |
|
|
79 | }, | |
|
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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, | |
|
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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", | |
|
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165 | "png": 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lF/exgIFcET0xzCKg1XZm6uuyWcPR0ZG6ujqcna93yK6rq0OttvIO8mMzod9G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\nA4CDCGcAcBDhDAAOIpwBwEFfFzJgnth8qvoAAAAASUVORK5CYII=\n" | |
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166 | } | |
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167 | ], | |
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168 | "collapsed": false, | |
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169 | "prompt_number": 12, | |
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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\")" | |
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171 | }, | |
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172 | { | |
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173 | "source": "Plot the value of the Asian call in (volatility, strike) space.", | |
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174 | "cell_type": "markdown" | |
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175 | }, | |
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176 | { | |
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177 | "cell_type": "code", | |
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178 | "language": "python", | |
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179 | "outputs": [ | |
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180 | { | |
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181 | "output_type": "pyout", | |
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182 | "prompt_number": 13, | |
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183 | "text": "<matplotlib.text.Text at 0x2e14610>" | |
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184 | }, | |
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185 | { | |
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186 | "output_type": "display_data", | |
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187 | "png": 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ebtVCtksyoi8YjotW0SWqRzQbY4xAu8VjtYoHQ1lBiGgZDkdm/1nGU4Ghu6Ho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\nRU5ErkJggg==\n" 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188 | } | |
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189 | ], | |
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190 | "collapsed": false, | |
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191 | "prompt_number": 13, | |
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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\")" | |
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193 | }, | |
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194 | { | |
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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, | |
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205 | "text": "<matplotlib.text.Text at 0x32ee190>" | |
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206 | }, | |
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207 | { | |
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208 | "output_type": "display_data", | |
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209 | "png": 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Sk9ylGKXZlDOc/aiplrsU2Zk3mzK5SMuAGwfkLsWwZE+FPSfA8OOgQ+UWwTj+PV3W7dlW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\nhjghhLgxGuKEEOLGaIgTQogb+z9RrMAdh+sfRQAAAABJRU5ErkJggg==\n" 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210 | } | |
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211 | ], | |
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212 | "collapsed": false, | |
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213 | "prompt_number": 14, | |
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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\")" | |
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215 | }, | |
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216 | { | |
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217 | "source": "Plot the value of the Asian put in (volatility, strike) space.", | |
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218 | "cell_type": "markdown" | |
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219 | }, | |
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220 | { | |
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221 | "cell_type": "code", | |
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222 | "language": "python", | |
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223 | "outputs": [ | |
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224 | { | |
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225 | "output_type": "pyout", | |
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226 | "prompt_number": 15, | |
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227 | "text": "<matplotlib.text.Text at 0x3487c50>" | |
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228 | }, | |
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229 | { | |
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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 | <?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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75 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVl3QUFBRU1DQVlBQUFEWGlZR1NBQUFBQkhOQ1NWUUlD | |
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395 | M3hFY0hFeEEKUUFCUlVWRTBiTmlRS1ZPbUVCb2F5dkRod3hrMGFKRHBQRys4OFFZSERod2dLQ2lJ | |
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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> | |
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|
450 | <markdowncell> | |
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451 | <source>The numerical computation agrees with the predictions of Wigner, but it would be nice to get more | |
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452 | statistics. For that we will do a parallel computation.</source> | |
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453 | </markdowncell> | |
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454 | <codecell> | |
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455 | <input>hist_data = hist(serial_diffs, bins=30, normed=True) | |
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456 | plot(s, rhos) | |
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457 | xlabel('Normalized level spacing s') | |
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458 | ylabel('Probability $P(s)$')</input> | |
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459 | <language>python</language> | |
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460 | <prompt_number>10</prompt_number> | |
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461 | <collapsed>0</collapsed> | |
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462 | <outputs> | |
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463 | <output> | |
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464 | <output_type>pyout</output_type> | |
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465 | <text>&lt;matplotlib.text.Text at 0x3475bd0&gt;</text> | |
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466 | <prompt_number>10</prompt_number> | |
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467 | </output> | |
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468 | <output> | |
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469 | <output_type>display_data</output_type> | |
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470 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVl3QUFBRU1DQVlBQUFEWGlZR1NBQUFBQkhOQ1NWUUlD | |
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790 | YnQyNjhmdnYKdnhNWEYwZHljaktob2FFbG50Qnc3dHc1WEZ4YytOLy8vVjljWFYzTjRsNGxvdkpJ | |
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792 | TFZzeWZQaHdQRHc4bURadFdxbW5vaGIrcTNyRmloWGN2SG1UeHg1N0RHOXZiMTU0CjRRVUF2dnJx | |
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793 | SzFhdFdrV25UcDNvMGFNSGYvenhCd0FmZi93eHI3MzJHcjE2OWNMVDA3UEVMMGVkVHFkL2ZjU0lF | |
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794 | Zmo0K0JBUUVJQ0gKaHdkejU4N1Z0eHN4WWdUcjE2OW41TWlSUlY0cnFmMjk2N3pYaGcwYjhQRHdv | |
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795 | R3ZYcnR5NWMwZS9MbGRYVjM3ODhVZTh2THp3OFBBZwpNRENRQng1NGdEbHo1dURqNDhPb1VhTVlQ | |
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796 | SGl3ZmozdnZQTU9aOCtleGRQVGs1NDllK3BQUENqY1ptbmJ0N1cxWmZueTVZd2FOWXFCCkF3ZlNz | |
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797 | V05IMnJScFU2emRraVZMNk5peEl6NCtQcmk2dXRLalI0OFNmeS9DTXNua2cwSllxTGk0T0lZT0hj | |
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798 | cnZ2Lzl1a3UybHA2ZFQKdDI1ZFVsSlNHREprQ0o5ODhnbnQyN2MzeWJhRmVaQXhEQ0VzbUNudk9E | |
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|
799 | ZHYzanpDd3NLd3M3UGoyV2VmbFdKUkRja2VoaEJDQ0lQSQpHSVlRUWdpRFNNRVFRZ2hoRUNrWVFn | |
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|
800 | Z2hEQ0lGUXdnaGhFR2tZQWdoaERDSUZBd2hoQkFHK1g4TEF4UDFCZTVmQkFBQUFBQkpSVTVFCnJr | |
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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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999 | UExFVnFGVXd0cDdheXVRZko3UDMKcWNvdldwU0NjWXM2dVJEckExK3Rnck1oU01FUXd2WlVXNjEy | |
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1001 | N2FsV01Bb0xDODI2YVZKTlVLTmdLSXBDcC9jNmNmeGZ4K0djSFg0WTIwVzdTdHE2WnNPVWpzV0hw | |
|
|
1002 | UzRFClNjRVF3c1pzdHJ6NXJhcFNMQXdHQTM1K2Z2ajQrTEJ3NGNKUzcrdjFlanc4UE5CcXRXaTFX | |
|
|
1003 | djc1VC9zNXMrYndwY1BrRnVUQ09iV1QKT0xDQ0JwQXd2WGlOS1NHRXcxQmx4YndwVTZZUUZ4ZUh0 | |
|
|
1004 | N2Mza1pHUmpCNDkydVNlM2dCOSsvWmx6Wm8xYXNTcjBPb2pxeG5XZVJpTApXS1IyRk1lMjh5bVk4 | |
|
|
1005 | alo0VnQ1VUNHRWZMTnJET0hQbVRMVUh6TWpJQUNBaUlnSnZiMjhHRFJwRVVsSlNxWGIyZXBoQ1Rx | |
|
|
1006 | ZTFrcnpHCmtEZ0ZuUHY2VHlFY2lrVUZZK0RBZ1F3ZVBKaVZLMWVTbjU5ZnBRR1RrNVB4OWZVMVB2 | |
|
|
1007 | ZjM5eWN4TWRHa2pVYWpZZnYyN1FRRkJURnQKMmpST25EaFJwYkdzN1Z6V09ZNm1INlZ2Kzc1cVI2 | |
|
|
1008 | a2Rka3dDSHpoeDJUNSt2a0tJaWxsMFNPclFvVU5zMzc2ZFpjdVc4Znp6enpOMAo2RkFtVEpoQWNI | |
|
|
1009 | Q3dWVU1GQndkeit2UnAzTnpjK09TVFQ1Z3laUXJyMXEwcnMrM3MyYk9OWCt0ME9uUTZuVld6M0d6 | |
|
|
1010 | dHNiVkUzUlZGCjNUcDFhMndNcDVMckFjbnc1cTl2c25Ub1VyWFRDRkZyNmZWNjlIcDk5VHRTcXVq | |
|
|
1011 | SEgzOVUyclJwbzdScTFVcnAxYXVYa3BDUVlOYS8KdTNyMXFoSVVGR1I4UG1uU0pHWGR1blhsdGk4 | |
|
|
1012 | cUtsSmF0V3FsNU9Ua2xIcXZHdkdyNU43bDl5cGY3UC9DT0RZb1pqeXMzVTdOc1dzZwpZNE02Q2kr | |
|
|
1013 | ZzRGRnk4NHl5SCs3dXpXejZzeGFpTnF2cVo2ZEZoNlRTMHRKNC9mWFhDUWdJWU5teVpYejg4Y2Vj | |
|
|
1014 | TzNlT3hZc1g4OWhqCmo1blZoNGVIQjFCOHBsUnFhaXJ4OGZHRWhZV1p0TGx3NFlKeERtUHQyclYw | |
|
|
1015 | NjlhTmV2WFVYVUw4ZXQ1MXRwN2F5dUM3eXI1UmtxaWkKN0VMWS9SejBta1FGOVlLc3JDc3FoaFJD | |
|
|
1016 | Z0lXSHBBWVBIc3lFQ1JQUTYvVW1aelVGQmdieTFGTlBtZDNQL1BuemlZbUpJVDgvbjlqWQpXRHc5 | |
|
|
1017 | UFltTGl3TWdKaWFHYjc3NWhpVkxsdURxNmtxM2J0MllPM2V1SlRGcmhPR1VBVzBiTFI3MVBkU09V | |
|
|
1018 | dnRzbnc2VC9Jb1hKN3pXClJ1MDBRb2h5V0hUaDNvNGRPd2dORGEzME5WdXg1WVY3MHpaTW8xbjla | |
|
|
1019 | cnpTOXhYajJIWjVVWnhkdEt0Q24xRlRvTWdOZnY1UHVlMXMKOWJNV29yYXp5WVY3WmUxRnhNVEVX | |
|
|
1020 | RHlvSTlwNGNpTUQ3eHlvZG96YWEvdHpvRjBHRFMrcG5VUUlVUTZ6RGtrbEp5ZXpZOGNPTGw2OAp5 | |
|
|
1021 | T0xGaTQyVjZlTEZpMDV4VzliejE4NXpPdk0wUGRyMlVEdEs3WlhaRGc0K0NEM253YWJYMVU0amhD | |
|
|
1022 | aURXWHNZR1JrWm5ENTltdno4CmZFNmZQazFhV2hwcGFXbDRlWG54MFVjZjFYUkcxVzA4dVpGNzJ0 | |
|
|
1023 | K0RxNHNxRjhZN2oyMHZRSS8zb2I1TWNBdGhqeXlhd3poMjdCaWQKT25XcXlUd1dzZFVjeHJqdng5 | |
|
|
1024 | SHp0cDQ4SGZLMHlkZ09NejlnODNiVjZQTnY0K0h5bldCNHBWUTdtY01Rd2pwcWRMWGE2T2hvMXE5 | |
|
|
1025 | ZgpUL3YyN2YvNm9EUWQrT1RKa3hZUGJBMjJLQmlLb25EYk83ZGhtR0RncnVaM21ZenRjQi9HTm10 | |
|
|
1026 | WGpUNWJISVBIZXNPQ2s1RG5idEpPCkNvWVExbEhWejA2empyRXNYNzRjZ0owN2QxbzhnS003ZFBF | |
|
|
1027 | UTlWenJjV2V6TzlXTzRoelNPOEhKQVJDeUJINTlYdTAwUW9pYm1GVXcKbWpadENsQnFSVmxuRUg4 | |
|
|
1028 | eW5vRWRCNWJhc3hJMWFPdExNSFpnOFZwVCtRM1ZUaU9FK0l0WkJlUENoUXRsZm1BcWlvSkdvNkZW | |
|
|
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 | |
|
|
1043 | cXl1YW5VOGFmTE42N2tPVkE3TWc1MExiUjh1SHVENWtVT2tudE5FSTRKYk1LeHZqeDQ2MDIKWUVa | |
|
|
1044 | R0JnQVJFUkVBREJvMGlLU2tKS0tqbzAzYUxWeTRrQkVqUnBDY25HeTFzYzBWZnpLZUlUNURiRDZ1 | |
|
|
1045 | cU5pc3ZyUDQyNWQvNCsvQgpmNWU1RENGVVlORWNSbloyTnF0WHIyYml4SW1NSGoyYU1XUEdNR2JN | |
|
|
1046 | R0lzR1RFNU94dGZYMS9qYzM5K2Z4TVJFa3pabnpweGg5ZXJWClBQMTA4ZjBuYlBtWGZtRlJJWnRT | |
|
|
1047 | TnNuOGhSM3EwYllIMmpaYS9ydjd2MnBIRWNJcFdYU1cxTXN2djR4R28ySERoZzA4Ly96ekxGKysK | |
|
|
1048 | bkx2dnZ0dnFvWjU5OWxuZWZQTk40OVdJRlIyU21qMTd0dkZyblU2SFRxZXIxdGk3eiszR3E3RVh0 | |
|
|
1049 | elc1clZyOWlKcFJzcGZ4ZVBEagpzcGNoaEpuMGVqMTZ2YjdhL1ZoMHg3M2c0R0IyNzk1Tmx5NWRP | |
|
|
1050 | SGp3SUJrWkdRd1lNTUNpdzBZWkdSbm9kRHIyN05rREZFK29SMFZGCm1SeVM2dGl4bzdGSVhMcDBp | |
|
|
1051 | WVlORzdKMDZWS0dEUnRtR3I0R2xnWjVZK3NiL0huOVQrWkh6YSt3blN3Tll2dXhTMzdXUTFZTVlm | |
|
|
1052 | QmQKZzNrbTlCa3pzd2doYmxhaml3K1djSE56QTZCSGp4NnNXN2VPQ3hjdWtKTmoyVmtySmN1TUdB | |
|
|
1053 | d0dVbE5UaVkrUEp5d3N6S1ROeVpNbgpTVWxKSVNVbGhSRWpSckJreVpKU3hhS21iRHk1VVE1SDJT | |
|
|
1054 | VlhOQm9OR28yRzljK3RaOUtYazlDNGFveXZsVHlhTkttZHAza0xZUThzCk9pVDF6RFBQY09YS0Zh | |
|
|
1055 | Wk9uY3JNbVRNNWMrWU1yNzc2cXNXRHpwOC9uNWlZR1BMejg0bU5qY1hUMDVPNHVEZ0FZbUppTE83 | |
|
|
1056 | UFd2SUsKODloeFpnZDk3dWlqV2daUm5nS01leUpuZ1F2UkVCd055Uk5OV21WbHlabHRRdFFVaXc1 | |
|
|
1057 | SndmL1drZ0tJakl4VWRVRkNheCtTU2ppZAp3RE0vUE1QdW1OMW1qVjJiRHZjNFhNYmJkc0NEdzR0 | |
|
|
1058 | WHNpMnNaOUpPVnJVVm9tSTJPU1IxODFwU2lZbUo5T3JWcTFhdEpXVTRaYUNQCnQreGRPSVF6b1hD | |
|
|
1059 | aEcyaVhxWjFFQ0tkaDBSNUdVRkFRUC8zMFU2bTFwUGJ1M1Z0akFTdGk3VDJNNkJYUlBCYjBHTVA5 | |
|
|
1060 | aDVzMWRxMzkKNjczYTdXdzBkcGw3R2JLSElVUmxiTEtIVVp2WGtpb3NLdVRYUDM3bDdqdXNmNXF3 | |
|
|
1061 | cUNGblFvdnYveTE3R1VMWWhGbVQzcE1uVHdZdwpyaVZWY3UzRnRtM2JHRGl3ZHF6b3V2L1AvWGcx | |
|
|
1062 | OXFKMTQ5WnFSeEdXME0rQ0IwZkNuc2R1bWNzUVFsaGJsZGFTS3ZtNnFtdEoyYU90CnA3WVM0UjFC | |
|
|
1063 | a3liTnljcTZvblljWWE0ellmQm5GOUIrQkR1ZlVqdU5FTFdheFdkSkFlemF0UXVOUmtOd3NMcDN0 | |
|
|
1064 | YkhtSE1iSXIwY3kKck5Nd3hnYU5SZVlIcXR2T3htTzNTNFNSRDhLN3YwTmhmWm5ERUtJU05wbkRN | |
|
|
1065 | QmdNZE9yVWlaZGVlb2tYWDN5UlRwMDZzWFhyVm9zSAp0VGVLb21BNFpTRENPMEx0S0tJcTBuckNu | |
|
|
1066 | d0hRSTA3dEpFTFVhaFpkdVBmMjIyK3paczBhNCtLQlI0OGVaZnIwNmZUcDQ5aW5vdjUrCitYZnF1 | |
|
|
1067 | OWJIdTZtMzJsRkVWVzE4RXg0ZENPcWNzQ2VFVTdCb0QrUHk1Y3UwYmR2VytMeE5telpjdm56WjZx | |
|
|
1068 | RnN6WERLSUZkM083b0wKM2VCNEZQUldPNGdRdFpkRmV4aVBQdm9vMGRIUmpCdzVFa1ZSK1BiYmJ4 | |
|
|
1069 | azdkbXhOWmJNWk9SeFZTMngrRFdJKzVXeldXZHE2dDYyOAp2UkRDSW1aUGVpdUt3cmx6NXpoLy9q | |
|
|
1070 | enIxcTFEbzlFd1pNZ1F0RnB0VFdjc2w3VW12VHNzNk1BUFkzN0FyNldmaWhmazJlbUVjcFhhCnFU | |
|
|
1071 | ajJRQTFQVEg2Q0Q0WitZRWFmUWppbnFuNTJXbFF3dW5idHlvRURCeXdlcEtaWW8yQ2N6amhOOEFm | |
|
|
1072 | Qi9EbmpUK09LcC9KaFhOMTIKS281ZFgwUExWMXV5WmZ3Vy9GcjZtZEd2RU02bnhzK1MwbWcwaElX | |
|
|
1073 | RnNYNzllb3NIc1dkYi95aSsvcUsyWEUvaTlITGcrZDdQOCtJdgpMNnFkUkloYXg2Sko3NlNrSklZ | |
|
|
1074 | T0hZcVhseGRhclJhdFZxdjZ0UmpWSlJQZXRjK2swRW5zT2IrSFgvLzRWZTBvUXRRcUZrMTZyMTY5 | |
|
|
1075 | CnV0WmRGR1U0WmVESjdrK3FIVU5ZVVgzWCtyeDJ6MnM4Ri84Y3Z6NzJxK3c5Q21FbFp1MWg1T2Zu | |
|
|
1076 | czI3ZE9wWXVYY3JwMDZmcDJMRWoKZDkxMWwvSGhxQzVldjhpWnJETUV0ZzVVTzRxd3NvZTdQc3ox | |
|
|
1077 | L090OGYrUjd0YU1JVVd1WVZUQmVldWtsbGl4WlFzdVdMWG4xMVZlWgpQNy9pKzExWHhtQXc0T2Zu | |
|
|
1078 | aDQrUER3c1hMaXoxL3VyVnF3a01EQ1FvS0lqbzZHaUw3aGx1aVcxL2JLUFg3YjJvNDFLblJ2b1g2 | |
|
|
1079 | cW5qClVvZTNCcnpGaTcrOFNFRlJnZHB4aEtnZEZETUVCd2NyZVhsNWlxSW95cFVyVjVTSWlBaHov | |
|
|
1080 | bG01Z29LQ2xDMWJ0aWlwcWFsSzU4NmQKbFlzWEw1cThmKzNhTmVQWGVyMWU2ZE9uVDVuOW1CbS9Y | |
|
|
1081 | TS8rOUt6eWh1R05VbjJDWXNaRHJYYVNzYkoySllxS2lwUituL1JUM2s5Kwp2MXIvUHhHaXRxbnFa | |
|
|
1082 | NmRaZXhoRlJVVzR1YmtCMExScFV6SXpNNnRjb0RJeU1nQ0lpSWpBMjl1YlFZTUdrWlNVWk5LbVVh | |
|
|
1083 | TkdKdTNyCjE2OWY1ZkVxc3ZYVVZybkRYaTJtMFdoNGU4RGJ6Tmt5aCt0NTE5V09JNFRETTJ2U2U5 | |
|
|
1084 | KytmYmk3dXh1ZloyZG5HNTlyTkJxTENraHkKY3JKeExTb0FmMzkvRWhNVGlZNk9ObW4zM1hmZk1Y | |
|
|
1085 | WHFWSzVkdThhdVhidks3Vy8yN05uR3IzVTZIVHFkenF3Y21ibVpITGwwaEpDMgpJV1puRjQ3QXRm | |
|
|
1086 | UWs5M0JvdktZeEdFeGZkbmR2Um1hbTR5OXRJMFJsOUhvOWVyMisydjJZVlRBS0N3dXJQWkNsN3Iv | |
|
|
1087 | L2Z1Ni8vMzYrCit1b3IvdmEzdjdGbno1NHkyOTFjTUN5eC9mUjJ1cmZ0VGoxWHVlbE83VkpBcVF2 | |
|
|
1088 | OE5wMkVKMEpoMXlHNDNzcjRjbGFXbkQwbG5NT3QKZjB6UG1UT25TdjFZZEIyR05ZU0VoSERreUJI | |
|
|
1089 | ajg0TUhEOUt6Wjg5eTI0OGFOWXF6WjgrYTNCcldHa291MkJOTzRFcEgyUGN3NkdhcgpuVVFJaDJi | |
|
|
1090 | aTNkZEpBQUFjV1VsRVFWVHpndUhoNFFFVW55bVZtcHBLZkh3OFlXRmhKbTFPbkRoaHZON2poeDkr | |
|
|
1091 | b0h2MzdqUm8wTUNxCk9ReW5ERVRjSVFYRGFXeVpCWDdmUXB2ZGFpY1J3bUZaZE9HZXRjeWZQNStZ | |
|
|
1092 | bUJqeTgvT0pqWTNGMDlPVHVMamltOS9FeE1Td2F0VXEKUHYzMFU5emMzTkJxdGJ6OTl0dFdIVCtu | |
|
|
1093 | SUljOTUvWVFmbnU0VmZzVmRpeTdPZnp5QnR6N0RDejdGY3c3MzBNSWNaTXEzYUxWWGxSMQpBUzNE | |
|
|
1094 | S1FNemZwN0JqaWQybE5tbkxPeFgzWFpxamwxQk8wMFJQTlliZGo4QmV4NERySGVMWHlFY2lVMXUw | |
|
|
1095 | VnBiR0U0WjVIUmFaNlM0CndBK0xvUDlMMEVET2poTENVazVaTUxiK3NWWG1MNXpWdVdBNE5BTDZ2 | |
|
|
1096 | YXgyRWlFY2p0TVZqSUtpQWhKT0ozRDNIWGVySFVXb1pkTnIKNFBzZHRGRTdpQkNPeGVrS3hwNXpl | |
|
|
1097 | N2pENHc1YU5HeWhkaFNobHB4bThNdS9JQnFLbENLMTB3amhNSnl1WUNTa0pkRDdqdDVxeHhCcQor | |
|
|
1098 | MjBzRk1HeVBjdlVUaUtFdzNES2doSGVUazZuZFhxS0Mvd0EvN2ZwLzBpL2thNTJHaUVjZ3RNVmpN | |
|
|
1099 | UzBSSHEySy8vS2N1RkV6c09vCkxxUDR2MDMvcDNZU0lSeUNVeFdNODlmT2s1R1RRYWNXbmRTT0l1 | |
|
|
1100 | ekVxL2U4eXVxanEwaytVelAzWEJHaU5uR3FncEdVbGtSWXV6QmMKTkU3MWJZc0tOSzNmbExjR3ZN | |
|
|
1101 | WEVIeVpTV0dUN1JUYUZjQ1JPOWNtWmtKWkF6OXZrY0pRdzlXaTNSMm5vMXBCM2s5NVZPNG9RZHMy | |
|
|
1102 | cApDb2JNWDRpeWFEUWFsZzFieHV0YlgrZm9wYU5xeHhIQ2JqbE53U2dvS21EWHVWMkUzaGFxZGhS | |
|
|
1103 | aGgrNXNmaWR6ZEhNWXYzcThISm9TCm9oeE9VVENhTkdtTzIyMXVYRHR6amVZTm02UFJhTXA5Q09m | |
|
|
1104 | MWRNalROSEJ0d055RXVXcEhFY0l1T1VYQnlNcTZBdTBXUTlvRWlsY3kKcmVnaG5KV0x4b1ZsOXkz | |
|
|
1105 | ajM5di96Y0UvRDZvZFJ3aTc0eFFGQTRCMmlaQW04eGVpWXUyYnR1ZjFmcTh6N3Z0eDVCZm1xeDFI | |
|
|
1106 | Q0x1aQpTc0V3R0F6NCtmbmg0K1BEd29VTFM3Mi9mUGx5QWdNRENRd01aTXlZTVJ3N2RxejZnMHJC | |
|
|
1107 | RUdaNkl2Z0pXalJzd1Z1L3ZxVjJGQ0hzCmlpbzNVTkpxdFN4WXNBQnZiMjhpSXlQWnRtMGJucDZl | |
|
|
1108 | eHZjVEVoTHc5L2ZIdzhPRFR6NzVoSTBiTi9MWlo1K1Y2c2ZjbTRCb0dtcmcKV1hkNDh3b29kU3By | |
|
|
1109 | amQzZCtNZHV4cTV0R2QyQWdyTGZhZ0xFQUorQys0MW1aR2JLL1RORTdlRXdOMURLeU1nQUlDSWlB | |
|
|
1110 | bTl2YndZTgpHa1JTVXBKSm0vRHdjT085djZPam85bXlaVXYxQm0wSG5Ba3hvMWdJNTFKQXVYTlpt | |
|
|
1111 | UXJFZndUM0I1SjE0NHFhSVlXd0d6WXZHTW5KCnlmajYraHFmKy92N2s1aVlXRzc3RHo3NGdLRkRo | |
|
|
1112 | MVp2MEhiSTRTaGh1YjNqSU9OMmtIdHRDUUdBcTlvQktySng0MFkrLy94enRtL2YKWG02YjJiTm5H | |
|
|
1113 | Ny9XNlhUb2RMclNqZG9CU2JKQ3JiQ1VCdForQURGdDBhZnEwYlhYcVIxSWlDclI2L1hvOWZwcTky | |
|
|
1114 | UHpPWXlNakF4MApPaDE3OXV3QllQTGt5VVJGUlJFZEhXM1NidCsrZlR6d3dBUDg5Tk5QM0hYWFhX | |
|
|
1115 | WDJaYzV4dUNLbGlEb3YxWUYzLzRRYkxjMUk2QWpICjNpVmo5ZHRaMExhamhqWVQyN0RyeVYyMGNa | |
|
|
1116 | ZmI5QW5INXpCekdDVnpFd2FEZ2RUVVZPTGo0d2tMQ3pOcDg4Y2ZmekI4K0hDV0wxOWUKYnJFdzEr | |
|
|
1117 | R0xoK0VHWmhZTEljcHdFbUs2eHpCNjFXZ0tpc3FaSkJmQ0NhaHlXdTM4K2ZPSmlZbGh3SUFCVEp3 | |
|
|
1118 | NEVVOVBUK0xpNG9pTAppd1BnMVZkZjVmTGx5enoxMUZOb3RWcENRNnUrbkVkaVdpS2tXU3U1Y0ZZ | |
|
|
1119 | dlI3eE0zVHAxZVdYeksycEhFVUkxcXB4V2F5M203Rlk5CnNmWUpQbnp0UTBoMndrTXBrdEZxZlNx | |
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1122 | amhBMlZhc0xSdkxaWklMYgpCRU9SMmtsRWJUSzE1MVJ1YjNJNzAzNmVwbllVSVd5cVZoZU1oTk1K | |
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1123 | Y3NNa1lRV3VKa3ZndTdpNDhOMjQ3MWk4WVRHYXdQKzkzcVJKCmM3V0RDbEdqYW5YQlNEd2pkOWdU | |
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1124 | MWxER0VpSzVDbnk1RHlKYmd2Y1dRQ2xlUmwrSVdxeldGZ3hGVWVTV3JLSm0vZGtWVmkySGtTT2gK | |
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1125 | NVNHMTB3aFI0MnB0d1RoKytUaU42emFtclh0YnRhT0kydXprUUloL0d4NitGeHFySFVhSW1sVnJD | |
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1126 | MFpDbXN4ZkNCdjViUnpzZmh3ZQpocXpjTExYVENGRmphbTNCU0V4THBPZHRVakNFalJoZWhyUHc0 | |
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1127 | RGNQeXAzNlJLMVZ1d3VHN0dFSW05SEFldENnNGVuMVQxZnBLbG9oCjdGMnRMQmpYODY1ek5QMW84 | |
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1129 | M0cKckIrem5tVjdsN0ZveHlLMTR3aGhWWFo5QTZXcWtzTlJRazFlamIzWU5IWVQvVDd0UjE1aEhs | |
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1130 | UERwNm9kU1FpcnFKVjdHSWxuRWdsdgpKM2ZZRStycDBLd0RXOFp2WWZIT3hmeHI2Ny9VamlPRVZk | |
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1131 | UzZnaUVYN0FsN2NZZkhIV3dadjRWUDkzM0tMUDBzbVFnWERxL1dGWXhUCkdhZUE0bDlXSWRUVzFy | |
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1132 | MHQrbkY2dmozOExTLys4cUlVRGVIUVZDa1lCb01CUHo4L2ZIeDhXTGh3WWFuM2p4dzVRbmg0T1BY | |
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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 | |
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1142 | Q3lzekxhV25rMlNrSllnSzlRS2gzTDNIWGVUOVBjawpWdXhmd2Rqdng1SlRrS04ySkNIS3BWRlVP | |
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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 | |
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1156 | SkovCmIvODMxL091TTdYblZCNE5mSlNHYmczTjdGODRvNm9XRElkZmZKQkdmMExEUzNESnQvSzJR | |
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1157 | amdjVjdQV2wycnMzcFIxKzc1bmJzSmMKWHRuOENrLzFlSXBuUXA2aGRlUFdOc2dvbklYajc3L2Vs | |
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1158 | bFI4ZHBUaStOK0tFS1daTjk5eExlc3FmZHYzWmMzb05XeWRzSldMTnk3aQp1OGlYOGQrUFoxUEtK | |
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1159 | cmxoazdBS3h6OGsxZThsS0hJRmZVV3JMOWErd3hTU3NicnQxQnk3WmpMZStxdDg2Y1lsUHQ3N01W | |
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1160 | OGMrSUp6CldlY1lGVENLTVFGajZORzJoNnlLNitTY2R3NWpiRC9ZUGdPT1YzUS9BZWY5RUpHTTlq | |
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1161 | aTJiUXJHelk1Y09zSVhCNzVneGY3aXRYUEcKZEIzRDZJRFIrSHJLb1Z4bjVMd0Y0MFYzbUo4SzJj | |
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1162 | MHJhb216Zm9oSVJuc2MyL1lGbzRTaUtPdzh1NU12RG56Qmx3ZStwRW05Smd6bwpPSUQrSGZxamE2 | |
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1163 | K2pXWU5tWnVZU2pzeDVDOGFrenZEZWtjcGE0cXdmSXBMUkhzZXVpWXh1Rk05M1ZNemR2Um1abWNW | |
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1164 | WGloY3BSZngyCi9qYzJudHpJTHltLzhPdnBYL0h6OURNV2tONTM5S2ErYTMwemN3cEg0cndGNDIv | |
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1165 | ajRQdVBLMnVKYzM2SVNFYjdIRnZkak9YOXl1Y1cKNUpLWWxzakdsSTM4Y3ZJWDl2KzVuKzV0dWhQ | |
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1166 | Y0pwZ2dyeUNDdklMdzgvVERyWTZibWRtRnZYTGVndEZqQ2V4OHFyS1d5SWVJTGR1cApPYlprckt5 | |
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1167 | ZHViL3ltYm1aSkp4T1lPLzV2ZXk5c0plOTUvZHk2dW9wZkQxOWpRVWt5Q3VJd05hQmVOVDNNS3RQ | |
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1168 | WVI4Y3FtQVlEQVppClltSW9LQ2dnTmphV3laTW5sMnJ6NG9zdjh0VlhYOUdzV1RPV0wxK09yMi9w | |
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1169 | eVRtTlJnTmVlK0I4VUNVanF2MGhzaG5RV2FrL1M4ZTIKcEoyZWluUGFRMGFvT0tka3JKamxoNjV1 | |
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1170 | ZGozdk9nZitQR0JTUlBaZjJFOTkxL3A0Ti9XbWZkUDJ4UStQNHYrV3ZOYWtYdlhXZWRQcgo5U2Iz | |
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|
1171 | cExaWGpwTFRvUzdjbXpKbENuRnhjWGg3ZXhNWkdjbm8wYVB4OVBRMHZyOWp4dzYyYnQzS3pwMDcy | |
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1172 | YkJoQXpObXpHRGR1blZsCmQvYW5JOXpLVWsvbEJjTWU2SkdjMXFMSFBqT1dYTmRSWXZaZkQxTlpX | |
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1173 | V1dmZHR1b2JpUEMyb1VSMWk3TStKcWlLRnk4Y1pIVXE2bWMKdW5xSzFLdXBIRWsvd2s4bmZqSytW | |
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1174 | cmRPWGRvM2JjL3RIcmZqMmRDVEZnMWEwS0pCQzVvM2FFNkxocVcvcnVkYXoyUmNSL2tnZHBTYwpW | |
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1175 | V1h6Z3BHUmtRRkFSRVFFQUlNR0RTSXBLWW5vNkdoam02U2tKRWFNR0VIejVzMFpQWG8wTDcvOGN2 | |
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1176 | a2RGam4reGVwQzJCL3pyakF2CjVnYmtWOWppZXNQcjVMWXQ0T1UxTDVOK0k1MzA3T0xIc2N2SFNM | |
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|
1177 | K1J6dVhzeThXdi9mVzFXeDIzNHFMU3NMaVFuRGx3aHFPcmpsTGYKdFQ0TlhCdlF3SzFCOFg5di92 | |
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1178 | cXYvOVozclYvcXRaTC8xbk90UngxTkhlcTQxTUZGNDBJZHpWLy8vZXU1cUpqTlAyMlRrNU5ORGkv | |
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1179 | NQorL3VUbUpob1VqQjI3TmpCbzQ4K2FuemVzbVZMVHB3NHdaMTMzbW5UckVJNHIxdjNSQ3BpeHVH | |
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1180 | d0czRGp1QnZEL1lkWDJsdGo5NmFjCnZmZ0g2ZGwvRlpJYjZmeDN4MzhaMm1rbzJmblpaQmRrazUy | |
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1181 | ZlRVNUJEdGZ6cjNNcCs1TEo2emUvZit0cnVZVzVGQllWVXFRVVVhajgKOWQraVFncVY0aXZoeXlv | |
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1182 | aVpUMHY3NzMwNUhTK1hmSnRtVzFkTkM1b0tDN0NOeGRqdFY2ckNydjg4MXhSbEZMSDE4ci9SczNk | |
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1183 | QUpacwpLR3YzT2Vldmg3WDZzNlN0cGUwcXkya1BHYUhpbkpMUnNuYmw1YXlKakpXN2xuV1ZKdlZM | |
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1184 | ejNsOHRlZ3JxNDFSbnFLLy9sY2RGMys0CmFLVTA5c2ZtQlNNa0pJVG5ubnZPK1B6Z3dZTkVSVVda | |
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1185 | dEFrTEMrUFFvVU5FUmtZQ2NQSGlSVHAyN0ZpcUx3Yyt3VXNJSVJ5T3pRL2EKZVhnVW4zNW5NQmhJ | |
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1186 | VFUwbFBqNmVzTEF3a3paaFlXR3NXcldLOVBSMFZxeFlnWitmbjYxakNpR0V1SVVxaDZUbXo1OVBU | |
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1187 | RXdNK2ZuNQp4TWJHNHVucFNWeGNIQUF4TVRHRWhvWnk5OTEzMDZOSEQ1bzNiODdubjMrdVJrd2ho | |
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1188 | QkEzVSt6Y2xpMWJGRjlmWCtXdXUrNVMzbjMzCjNUTGJ6Snc1VStuUW9ZTVNIQnlzSEQ1ODJNWUpp | |
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1189 | MVdXYy9QbXpVcVRKazJVb0tBZ0pTZ29TSG50dGRkc25uSENoQWxLcTFhdGxJQ0EKZ0hMYjJNTzJy | |
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1190 | Q3luUFd4TFJWR1VQLzc0UTlIcGRJcS92Ny9TdDI5Zlpmbnk1V1cyVTN1Ym1wTlQ3VzJhbloydGhJ | |
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1191 | YUdLb0dCZ1VwWQpXSmp5emp2dmxObE83VzFwVGs2MXQrWE5DZ29LbEtDZ0lHWElrQ0Zsdm0vcDly | |
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1192 | VDdnaEVVRktSczJiSkZTVTFOVlRwMzdxeGN2SGpSCjVQMmtwQ1NsZCsvZVNucDZ1ckppeFFvbE9q | |
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1193 | cmFMbk51M3J4WkdUcDBxQ3JaU2hnTUJtWDM3dDNsZmhEYnk3YXNMS2M5YkV0RlVaUnoKNTg0cGUv | |
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1194 | YnNVUlJGVVM1ZXZLaDA2TkJCeWN6TU5HbGpEOXZVbkp6MnNFMnZYNyt1S0lxaTVPVGtLRjI2ZEZG | |
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1195 | Ky8vMTNrL2Z0WVZzcQpTdVU1N1dGYmxwZzdkNjR5WnN5WU12TlVaWHZhOVluSE4xK3o0ZTN0YmJ4 | |
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1196 | bTQyYTNYck54K1BCaHU4d0o2ay9TOStuVGgyYk55bCtOCjFCNjJKVlNlRTlUZmxnQmVYbDRFQlJX | |
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1197 | dk11RHA2VW1YTGwzWXVYT25TUnQ3MktibTVBVDF0Mm5EaHNXM2xiMTI3Um9GQlFYVXEyZDYKOFo0 | |
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1198 | OWJFdW9QQ2VvdnkwQjB0TFMrT0dISC9qNzMvOWVacDZxYkUrN0xoamxYYk54c3gwN2R1RHYvNzk3 | |
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1199 | ZVpkY3MyRkw1dVRVYURScwozNzZkb0tBZ3BrMmJadk9NNXJDSGJXa09lOXlXeDQ4ZjUrREJnNFNH | |
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1200 | aHBxOGJtL2J0THljOXJCTmk0cUtDQXdNcEhYcjFreWFOSW5iCmI3L2Q1SDE3MlphVjViU0hiUWt3 | |
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1201 | ZGVwVS92M3ZmK1BpVXZiSGZGVzJwMTBYREhNb0ZsMnpvWjdnNEdCT256NU5jbkl5L3Y3K1RKa3kK | |
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1202 | UmUxSXBjaTJySnFzckN4R2pSckZ2SG56YU5Tb2tjbDc5clJOSzhwcEQ5dlV4Y1dGMzM3N2plUEhq | |
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1203 | N040OFdMMjdObGo4cjY5Yk12SwpjdHJEdGx5M2JoMnRXclZDcTlXV3U3ZFRsZTFwMXdVakpDU0VJ | |
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1204 | MGYrZDYrTGd3Y1Awck5uVDVNMkpkZHNsQ2p2bW8yYVpFNU9kM2QzCkdqWnNpSnViRzQ4Ly9qakp5 | |
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1205 | Y25rNXViYU5HZGw3R0ZibXNPZXRtVitmajdEaHcvbjBVY2Y1Yjc3N2l2MXZyMXMwOHB5MnRNMmJk | |
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1206 | KysKUGZmZWUyK3B3N3Iyc2kxTGxKZlRIcmJsOXUzYldiTm1EUjA2ZEdEMDZORnMyclNKc1dQSG1y | |
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1207 | U3B5dmEwNjRMaEtOZHNtSlB6d29VTAp4bXErZHUxYXVuWHJWdWF4VHpYWnc3WTBoNzFzUzBWUmVQ | |
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1208 | enh4d2tJQ09EWlo1OHRzNDA5YkZOemNxcTlUUzlkdXNUVnExY0JTRTlQCjUrZWZmeTVWMk94aFc1 | |
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1209 | cVRVKzF0Q2ZER0cyOXcrdlJwVWxKUytQTExMK25YcngrZmZ2cXBTWnVxYkUrN1hCcmtabzV5elVa | |
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1210 | bE9iLzUKNWh1V0xGbUNxNnNyM2JwMVkrN2N1VGJQT0hyMGFMWnMyY0tsUzVlNC9mYmJtVE5uRHZu | |
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1211 | NStjYU05ckl0Szh0cEQ5c1M0TmRmZitYegp6eituVzdkdWFMVmFvUGdYOVk4Ly9qQm10WWR0YWs1 | |
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1212 | T3RiZnB1WFBuR0RkdUhJV0ZoWGg1ZVRGanhnemF0R2xqZDcvcjV1UlVlMXVXCnBlUlFVM1czcDBQ | |
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1213 | ZlFFa0lJWVR0MlBVaEtTR0VFUFpEQ29ZUVFnaXpTTUVRUWdoaEZpa1lRZ2doekNJRlExaVZpNHNM | |
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1214 | TTJiTU1ENy8KejMvK3c1dzU1dHc4eW5wME9oMjdkKzhHSURvNm1zek16R3IxcDlmckdUcDBxTm12 | |
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1215 | MThSWU5lbnMyYk9NSERuU3BtTUt4eVFGUTFoVgozYnAxK2U2NzcwaFBUd2NzdnhLM3NMQ3cyaGx1 | |
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1216 | SG5QOSt2VTBhVkw2N20zaWY5cTJiY3ZYWDMrdGRnemhBS1JnQ0t0eWMzUGp5U2VmClpONjhlYVhl | |
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1217 | TzN2MkxGT21UQ0V3TUpDcFU2ZHk0Y0lGQU1hUEg4KzBhZE1JQ3d2amhSZGVZTUtFQ1V5ZlBwM1Ew | |
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1218 | RkE2ZCs3TW5qMTcKZVBMSkorblNwUXV6Wjg4MjlqZHg0a1JDUWtMbzFhc1hTNWN1TFROUCsvYnRT | |
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1219 | VTlQNS8zMzMwZXIxYUxWYXVuUW9RUDkrdlVEaXRjQgpHenQyTEdGaFljeWNPZE40Ulc1eWNqTDkr | |
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1220 | L2RIcTlXeVljT0dTci92N094czNubm5IZnIyN1V0MGREUjZ2UjZBOFBCd2s2dHBTL1orCmNuSnl5 | |
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1221 | bXhmbnRPblR6TjQ4R0NDZ29JSURBemt4SWtUcEthbTR1L3Z6K09QUDQ2Zm54OXo1c3d4NW4vdHRk | |
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1222 | Y0lEUTBsSkNTRU45NTQKdzZTZjZkT25vOVZxNmQ2OU95a3BLYVNtcHRLMWExY0FQdjc0WXg1NjZD | |
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1223 | SHV2ZmRlQWdJQ2VQZmRkNDMvOXFlZmZpSThQSnpRMEZDZQpmZlpaSmsrZVhDcm4zcjE3NmQrL1Aw | |
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1224 | RkJRUVFIQjNQdDJyVkt0NTF3SU5WWk9sZUlXelZ1M0ZqSnpNeFUycmR2cjJSa1pDai8rYzkvCmxO | |
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1225 | bXpaeXVLb2loVHAwNVYzbjc3YlVWUkZPV05OOTVRbm4vK2VVVlJGR1hjdUhGSzM3NTlqVXR1ang4 | |
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1226 | L1hoazhlTENTbTV1cmZQengKeDByanhvMFZ2VjZ2NU9ibUtuNStmc2FsNHk5ZnZxd29pcUxrNXVZ | |
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1227 | cVlXRmh5clZyMXhSRlVSU2RUcWZzMnJWTFVSUkZhZCsrdlpLZQpubTdNbDUrZnIvVHAwMGRadDI2 | |
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|
1228 | ZHNlM1ZxMWNWUlZHVTU1OS9Ydm55eXk4VlJWR1VidDI2S1VsSlNjcTFhOWVVcUtpb01wZUgzcng1 | |
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1229 | CnMvRStBeDk5OUpHeVlNRUNSVkVVNWZ6NTgwcG9hS2lpS0lveWI5NDhaZGFzV1lxaUtNclpzMmVW | |
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1230 | enAwN1Y5ais1ajV2Tm12V0xPWEQKRHo4MGZnL1oyZGxLU2txS290Rm9sRysvL1ZiSnljbFJIbmpn | |
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|
1231 | QWVXYmI3NHgyVFlGQlFYSzBLRkRsU05IamhpMzlhSkZpNHpiN2NhTgpHMHBLU29weEtmbVBQdnBJ | |
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|
1232 | YWRXcWxYTDI3RmtsTXpOVGFkZXVuWktYbDZmazUrY3I3ZHUzVjFKU1VwVDA5SFFsT0RoWW1UeDVj | |
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|
1233 | cW1jCjQ4YU5Velp1M0tnb1N2RXk0QVVGQmFYYUNNY2xleGpDNnR6ZDNSazdkcXpKWDZjQVAvNzRJ | |
|
|
1234 | NDg5OWhnQWp6LytPR3ZYcmdXS0R5R04KR0RFQ2QzZDNZOXNSSTBaUXQyNWR3c1BEYWRxMEtYMzc5 | |
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|
1235 | cVZ1M2Jwb3RWcmpTc0R4OGZGRVIwZWoxV281ZWZJa216WnRxalJiYkd3cwovZnYzSnpvNm1sMjdk | |
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1263 | </png> | |
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1264 | </output> | |
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1265 | </outputs> | |
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1266 | </codecell> | |
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1267 | </cells> | |
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1268 | </worksheet> | |
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1269 | </worksheets> | |
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1270 | </notebook> | |
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|
1 | { | |
|
|
2 | "nbformat": 2, | |
|
|
3 | "name": "rmt", | |
|
|
4 | "worksheets": [ | |
|
|
5 | { | |
|
|
6 | "cells": [ | |
|
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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\nZSHsyqw+jG7dupGWloabmxu5ubkMGTKEDRs22CPfdVWnHS4/X53MlZMjiw7WVsXFEBwMr78O996r\ndRoh7M+m8zCKi4txc3MDoHnz5pw/f97iCzmKzEzo3FmKRW1Wp45aLKZOVYuHEMI8ZhWM7du307Rp\nU9PXjh07TN83a9bM1hmtats2sMFK6cLJDB4MjRvDsmVaJxHCeZg1Surq1au2zmE3mZnQp4/WKYTW\ndDp44w0YNw4eeEDt2xBCXJ9Fq9W6gsxMqOFEdeEi+vWDDh3gk0+0TiKEc6jWBkqOwtKOm/x88PCA\n3FyoX9+GwYTTyMyEQYNg715o3lzrNELYh102UHJ2O3aAn58UC/G3rl3V/ozp07VOIoTjq1UFQ5qj\nREXeeAMWL4Y9e7ROIoRjk4Ihar3WrdWJfBMnymQ+Ia5HCoYQwD//CceOQWKi1kmEcFy1ptP78mW1\nU/PsWbDyXkzCRaxdqxaOnTtlYqdwbdLpXYVdu9T9u6VYiMqEh4O/v7pvhhCivFpTMKQ5Spjjvffg\n3Xfh5EmtkwjheKRgCFHKrbfCk0/ClClaJxHC8UjBEOIaL7+s7peRnq51EiEciyYFIzU1FT8/P3x8\nfJg7d26595csWUJQUBBBQUE8/PDD7Nu3r0bXu3JFnbQXHFyj04haomlTeOstGD9eVrMVojRNCsaE\nCRNISEhg3bp1xMfHc+bMmTLve3t7k5qaym+//UZERASvvfZaja73++9wyy3qB4EQ5njkEXVBwg8/\n1DqJEI7D7gUjLy8PgD59+uDp6Ul4eDjp1zz79+zZE3d3dwCioqJqvFmTNEcJS9WpA//+N0ybBkeO\naJ1GCMdg94KRkZGBr6+v6bW/vz9paWmVHv/RRx8xePDgGl1TCoaoDl9feO45tRPceWcrCWE9Zu2H\noZV169axePFiNm/eXOkxsbGxpu8NBgMGg6HcMZmZcM89NggoXN7kybBiBXz6KYwZo3UaIaonJSWF\nlJSUGp/H7jO98/LyMBgMZGVlATB+/HgiIyOJiooqc9z27du5//77WbNmDZ06darwXObMViwuhhtv\nhMOHoUUL6/wOonbZvh3694esLLUvTAhn5zQzvUv6JlJTU8nOziY5OZmwsLAyxxw9epRhw4axZMmS\nSouFuQ4eVAuFFAtRXYGB8PTT6u580jQlajNNmqTi4uKIjo7GaDQSExODh4cHCQkJAERHRzNjxgxy\ncnIYN25XGuKtAAAVR0lEQVQcAG5ubmzZsqVa15L+C2ENL78M3brB0qXqCCohaiOXX3zwxRehWTN1\n+WohamLrVoiKUpuobrpJ6zRCVJ/TNEnZmzxhCGvp3l3t+H7mGa2TCKENly4YiiIFQ1jXtGnqqgEr\nVmidRAj7c+mCcfQoNGwozQfCeho2hE8+UZcNOXFC6zRC2JdLFwx5uhC2cMcd8I9/wMiR6jplQtQW\nUjCEqIZ//Qvq11ebqISoLaRgCFENdevCkiXw+eewZo3WaYSwD5ctGIoC27ZJwRC207q1WjQefxyO\nH9c6jRC257IF4+RJuHoV2rXTOolwZX37QkwMjBgBRqPWaYSwLZctGCXNUTqd1kmEq5syRd1rZepU\nrZMIYVsuXTC6ddM6hagN6tSBL76A//wHEhO1TiOE7bh0wZD+C2EvHh5qwRg7Vp3/I4QrkoIhhJX0\n6gXPPw9Dh8LFi1qnEcL6XHLxwdOn4bbbICdH+jCEfSmKukPfn3/CypVQz6G3KBO1lSw+WEpWFuj1\nUiyE/el0sGCBOmIqJkb2zxCuxSULhjRHCS25ucFXX8GmTTBrltZphLAeKRhC2ECzZvDDD/DBB2rx\nEMIVSMEQwkbatYPVq+Gf/4Sff9Y6jRA153Kd3rm50L69+mfduhoFE6KUpCQYNQpSU9XBGEJoTTq9\n//LrrxAUJMVCOI6ICHjrLejfH/bv1zqNENWnScFITU3Fz88PHx8f5s6dW+79vXv30rNnTxo2bMjs\n2bMtOrc0RwlHNHo0vPoq3H23FA3hvDQZJT5hwgQSEhLw9PQkIiKCkSNH4uHhYXq/ZcuWzJ07l5Ur\nV1p87sxM9V9yQjiaJ55Qh93edRf89JM0TwnnY/cnjLy8PAD69OmDp6cn4eHhpKenlzmmVatWdO/e\nHTc3N4vPL08YwpGNHQszZqhPGr//rnUaISxj94KRkZGBr6+v6bW/vz9paWlWOfelS3DkCPj5WeV0\nQtjEmDHw+utq0di7V+s0QpjP6RcuiI2NNX3v4WGgc2cD1XgwEcKuHn9cbZ7q108dRRUQoHUi4cpS\nUlJISUmp8XnsXjBCQkJ4/vnnTa937dpFZGRktc9XumDMmyfNUcJ5jBoFDRqoTxqLFkEN/jcQ4roM\nBgMGg8H0evr06dU6j92bpNzd3QF1pFR2djbJycmEhYVVeKyl44Sl/0I4mxEj4Jtv1FFU8fFapxHi\n+jSZuLdhwwbGjRuH0WgkJiaGmJgYEhISAIiOjubPP/8kJCSE8+fPU6dOHZo2bcru3bu54YYbyoa/\nZvJJcDB8/DF0727XX0eIGjt0CKKiYMAAeO89WeVW2FZ1J+65zEzvwkJo0UJd0rxhQ42DCVENubnw\n4INQvz58+aW67asQtlDrZ3rv3KmOa5diIZxV8+bqgoXt26ubMR04oHUiIcpymYIh/RfCFbi5qftp\nREdDz55qZ7jztgEIVyMFQwgHo9OpK9z++CO88w488gj8Nd9VCE1JwRDCQQUGwtatat9ccLAskS60\n5xKd3kaj2v77v/9BkyZapxLC+lavVvcKHzcOXn5Z7RgXorpqdaf3nj3g6SnFQriuwYPVveq3blWX\n709O1jqRqI1comBIc5SoDdq2VZ80Zs5UO8WHDVPXThPCXqRgCOFEdDr1aWP3brVfo1s3dfXbggKt\nk4naQAqGEE6oYUN45RXYtg22b4fOndUlRoqLtU4mXJnTd3pfuaLQvDkcO6Z2fAtRG61bBy+8AEYj\nvPQSPPSQLC8iKldrO73374ebbpJiIWq3/v3Vp41334UPP4Tbb4ePPoKiIq2TCVfi9AVDmqOEUOl0\n6hLpqanw+eewahV4e8Ps2XDhgtbphCuQgiGEC+rdG77/HhITYcsWdX2qUaPUvcSln0NUlxQMIVyY\nXg/Llqn7hwcHw7PPQseOaoe5LG4oLOX0nd7u7gr790OrVlqnEcI5/Pqr2mS1dCn4+KhPHvfco87z\nELVDrd0Po317haNHtU4ihPMxGmHNGli8WJ053r49RESo/SC9eqnbxwrXVGsLxpAhCitXap1ECOd2\n5QpkZEBSklpEdu+GPn3+LiCdOqmd6sI11NqCMX26wquvap1ECNeSk6PO7SgpIMXFal9ht25//9mu\nnRQRZ1VrC8bq1Qr33KN1EiFcl6KoE2O3bVMHmWzbpn4pilo8SgpIly7g5SUr6ToDp5q4l5qaip+f\nHz4+PsydO7fCY1566SW8vb3p1q0be/furfRczjBCKiUlResIZpGc1uMMGcG8nDoddOgAQ4fCa6+p\n28j++ae6eu4//6kWiM8/V5uumjZVj+3bF0aPVte5+uILdS+PEyeqP6TXle6nM9Nk8YAJEyaQkJCA\np6cnERERjBw5Eg8PD9P7W7ZsYePGjWzdupWkpCQmT55MYmJihedyhpEdKSkpGAwGrWNUSXJajzNk\nhOrn1OngllvUr8GD//75lSvq08jhw3DokPrnf//79/fnz6tPIe3agYcHtGxZ/s/S3zdpol7L1e+n\ns7B7wcj7a6/JPn36ABAeHk56ejpRUVGmY9LT03nggQdo0aIFI0eOZOrUqZWeT9pQhXAc9eqp8zw6\ndoS77y7//sWLkJ0Nf/wBZ8+qX2fOqPNEfv7579cl7129qhaOq1dhwwa1gDRqVPFX48aVv3ftcfXr\nQ506ULfu33+W/l4+Vypm94KRkZGBr6+v6bW/vz9paWllCsaWLVt49NFHTa9btWrFwYMHufXWW+2a\nVQhhXTfcAAEB6pc5CgrUwvH66+qCivn56s8KCsp+X1CgNpNV9l7pr/x8dUjx1avqV3Fx+T91uooL\nSenvK/pZbq46UfJ6f0+n+7sglS5M9vxZdTnkepaKopTrkNFV8ptW9nNHM336dK0jmEVyWo8zZATn\nyZmQYL+civJ3QbHU2bPOcT+rw+4FIyQkhOeff970eteuXURGRpY5JiwsjN27dxMREQHA6dOn8fb2\nLncuJx7gJYQQTsfuo6Tc3d0BdaRUdnY2ycnJhIWFlTkmLCyMr7/+mrNnz7J06VL8/PzsHVMIIcQ1\nNGmSiouLIzo6GqPRSExMDB4eHiQkJAAQHR1NaGgovXv3pnv37rRo0YLFixdrEVMIIURpioPbsGGD\n4uvrq3Tq1En54IMPKjxmypQpSseOHZWuXbsqe/bssXNCVVU5169frzRr1kwJDg5WgoODlddee83u\nGUePHq20bt1aCQgIqPQYR7iXVeV0hHupKIpy9OhRxWAwKP7+/krfvn2VJUuWVHic1vfUnJxa39OC\nggIlNDRUCQoKUsLCwpT33nuvwuO0vpfm5NT6XpZ25coVJTg4WLnnnnsqfN/S++nwBSM4OFjZsGGD\nkp2drdx+++3K6dOny7yfnp6u9OrVSzl79qyydOlSJSoqyiFzrl+/Xhk8eLAm2UqkpqYqmZmZlX4Q\nO8q9rCqnI9xLRVGUkydPKllZWYqiKMrp06eVjh07KufPny9zjCPcU3NyOsI9vXTpkqIoilJYWKh0\n7txZ2b9/f5n3HeFeKkrVOR3hXpaYPXu28vDDD1eYpzr306H3wyg9Z8PT09M0Z6O0a+ds7NmzxyFz\ngvad9HfeeSc33nhjpe87wr2EqnOC9vcSoE2bNgQHBwPg4eFB586d2bp1a5ljHOGempMTtL+njRs3\nBuDixYtcuXKFBtcsl+sI9xKqzgna30uA48eP88MPP/DEE09UmKc699OhC0ZlczZK27JlC/7+/qbX\nJXM27MmcnDqdjs2bNxMcHMyzzz5r94zmcIR7aQ5HvJcHDhxg165dhIaGlvm5o93TynI6wj0tLi4m\nKCiIm266iWeeeYb27duXed9R7mVVOR3hXgJMmjSJd999lzp1Kv6Yr879dOiCYQ7FgjkbWuratSvH\njh0jIyMDf39/JkyYoHWkcuReVs+FCxcYPnw477//Pk2aNCnzniPd0+vldIR7WqdOHX777TcOHDjA\n/PnzycrKKvO+o9zLqnI6wr1MTEykdevW6PX6Sp92qnM/HbpghISElFl4cNeuXfTo0aPMMSVzNkpU\nNmfDlszJ2bRpUxo3boybmxtjx44lIyODoqIiu+asiiPcS3M40r00Go0MGzaMRx99lCFDhpR731Hu\naVU5Hemeenl5MWjQoHLNuo5yL0tUltMR7uXmzZv57rvv6NixIyNHjuSnn37iscceK3NMde6nQxcM\nZ5mzYU7OU6dOmar56tWrCQwMrLDtU0uOcC/N4Sj3UlEUxo4dS0BAABMnTqzwGEe4p+bk1Pqenjlz\nhtzcXADOnj3L2rVryxU2R7iX5uTU+l4CvPnmmxw7dozDhw/z5Zdfcvfdd7No0aIyx1Tnfjrk0iCl\nOcucjapyrlixggULFlCvXj0CAwOZPXu23TOOHDmSDRs2cObMGdq3b8/06dMxGo2mjI5yL6vK6Qj3\nEuDnn39m8eLFBAYGotfrAfV/1KN/7RnsKPfUnJxa39OTJ08yatQorl69Sps2bZg8eTJt27Z1uP/X\nzcmp9b2sSElTU03vp1NvoCSEEMJ+HLpJSgghhOOQgiGEEMIsUjCEEEKYRQqGEEIIs0jBEFZVp04d\nJk+ebHo9a9Ysu2/QYzAYyMzMBCAqKorz58/X6HwpKSkMLr1xdRU/t8W1bOnEiRM8+OCDdr2mcE5S\nMIRV1a9fn2+//ZazZ88Cls/EvVqdLc6uUfqa33//Pc2aNavxOV3ZzTffzFdffaV1DOEEpGAIq3Jz\nc+Opp57i/fffL/feiRMnmDBhAkFBQUyaNIlTp04B8Pjjj/Pss88SFhbGiy++yOjRo3nuuecIDQ3l\n9ttvJysri6eeeorOnTsTGxtrOt/TTz9NSEgId9xxBwsXLqwwj5eXF2fPnuXDDz9Er9ej1+vp2LEj\nd999N6CuA/bYY48RFhbGlClTTDNyMzIy6NevH3q9nqSkpCp/74KCAt577z369u1LVFQUKSkpAPTs\n2bPMbNqSp5/CwsIKj6/MsWPHGDhwIMHBwQQFBXHw4EGys7Px9/dn7Nix+Pn5MX36dFP+1157jdDQ\nUEJCQnjzzTfLnOe5555Dr9fTrVs3Dh8+THZ2Nl26dAHgs88+Y8SIEQwaNIiAgAA++OAD099ds2YN\nPXv2JDQ0lIkTJzJ+/PhyOX/99Vf69etHcHAwXbt25eLFi1XeO+FEarJ0rhDXuuGGG5Tz588rXl5e\nSl5enjJr1iwlNjZWURRFmTRpkjJz5kxFURTlzTffVF544QVFURRl1KhRSt++fU1Lbj/++OPKwIED\nlaKiIuWzzz5TbrjhBiUlJUUpKipS/Pz8TEvH5+TkKIqiKEVFRUpYWJhy8eJFRVEUxWAwKNu2bVMU\nRVG8vLyUs2fPmvIZjUblzjvvVBITE03H5ubmKoqiKC+88ILy5ZdfKoqiKIGBgUp6erpy8eJFJTIy\nssLlodevX2/aZ+DTTz9V5syZoyiKovz5559KaGiooiiK8v777yvTpk1TFEVRTpw4odx+++3XPb70\nOUubNm2a8vHHH5t+h4KCAuXw4cOKTqdTvvnmG6WwsFC5//77lRUrVpS5N1euXFEGDx6s7N2713Sv\n4+PjTfctPz9fOXz4sGkp+U8//VRp3bq1cuLECeX8+fNKu3btlMuXLytGo1Hx8vJSDh8+rJw9e1bp\n2rWrMn78+HI5R40apaxbt05RFHUZ8CtXrpQ7RjgvecIQVte0aVMee+yxMv86Bfjvf//LmDFjABg7\ndiyrV68G1CakBx54gKZNm5qOfeCBB6hfvz49e/akefPm9O3bl/r166PX600rAScnJxMVFYVer+fQ\noUP89NNPVWaLiYmhX79+REVFsW3bNnbu3InBYECv15OYmEhqaip//PEHiqIQGhpKkyZNGD58eJXL\nVX/99dcsXLgQvV5PZGQkp06d4vDhwzz00EOsWLECgOXLl5v6Cio6/tChQ5WePyQkhLi4ON555x1y\ncnJo2LAhoC5LM3ToUBo0aMDIkSNZs2YNAFu3bmXYsGEEBgaSmZnJ2rVruXz5MuvXr+fJJ58E1ObD\nRo0albtWeHg4bdu2pWnTpvj7+5OZmUlaWhpdunTBy8uLFi1acO+991Z4T3r27MmUKVOYN28eV65c\noW7dulX+NxHOw+GXBhHOaeLEiXTt2pXRo0eX+XllH7xt27Yt87pkfa769evTvHlz08/r16/P5cuX\nuXDhAlOmTGHjxo3ccsstDB06lHPnzl0302effcaxY8eYP38+oC5THRAQwPr168scd/z4cfN+yVKK\ni4uJj4+nT58+5d5r2bIlO3bsYPny5aalGSo7vmS5jmtFRUXRrVs3Fi9eTK9evfjqq6/K3JcSJf03\n48ePZ8WKFQQEBDBp0iTOnTuHTqercIXSa117vwsLC6lXr16ZvqHKzhEdHc2AAQNMS5Gkp6dz0003\nXfd6wnnIE4awiRtvvJGHHnqIf//736YPmkGDBvH5559TXFzMJ598wr333lutcyuKQm5uLm5ubrRp\n04Z9+/bx448/XvfvbNu2jdmzZ/PFF1+YfhYSEsKpU6dMTyyXLl1i//79tGvXjrp165KRkcGlS5dY\nvnx5lZkefvhhEhISuHDhAkCZJa+HDx/OO++8w/nz5wkICKjy+IocPnzYtHZRv379TP0ieXl5rFy5\nkqKiIpYtW0ZkZCSFhYVcuHABLy8v/vjjD1atWgWo/Ut33XUXCxcuRFEUioqKKCgoqPJ30+l09OjR\ngx07dpCdnU1OTg6JiYkVDmg4ePAg3t7evPrqq/j6+jrEXiXCeqRgCKsq/SHy3HPPcebMGdPryZMn\nc/ToUfR6PadOneLZZ5+t8O9d+7qi99q3b8+wYcMICAjgmWeeqXQoasm/quPj4zl37hx33XUXer2e\np556CoAvvviCBQsWEBgYyB133MHvv/8OwEcffcRLL71E7969CQoKqvDDUafTmX7+wAMPEBoaSkRE\nBAEBAUybNs103AMPPMCyZct46KGHyvysouNLn7O05cuXExAQQEhICPn5+aZz+fr68t133xEcHExA\nQABRUVE0bNiQKVOmEBoayvDhwxk0aJDpPG+88QYHDhwgKCiIXr16mQYelFyzsuvXrVuXefPmMXz4\ncCIjI+nSpQsdO3Ysd9ycOXPo0qULoaGh+Pr6cscdd1T430U4J1l8UAgnlZ2dzeDBg9mxY4ddrnfp\n0iWaNGlCXl4e99xzDx9//DG33367Xa4tHIP0YQjhxOy541xsbCzr1q3Dzc2N//u//5NiUQvJE4YQ\nQgizSB+GEEIIs0jBEEIIYRYpGEIIIcwiBUMIIYRZpGAIIYQwixQMIYQQZvl/CHrf0nQauboAAAAA\nSUVORK5CYII=\n" | |
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67 | } | |
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68 | ], | |
|
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69 | "collapsed": false, | |
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70 | "prompt_number": 17, | |
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71 | "input": "plot(s, rhos)\nxlabel('Normalized level spacing s')\nylabel('Probability $\\rho(s)$')" | |
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72 | }, | |
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73 | { | |
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74 | "source": "## Serial calculation of nearest neighbor eigenvalue distribution", | |
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75 | "cell_type": "markdown" | |
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76 | }, | |
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77 | { | |
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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.", | |
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79 | "cell_type": "markdown" | |
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80 | }, | |
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81 | { | |
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82 | "cell_type": "code", | |
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83 | "language": "python", | |
|
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84 | "outputs": [], | |
|
|
85 | "collapsed": true, | |
|
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86 | "prompt_number": 6, | |
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|
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" | |
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88 | }, | |
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89 | { | |
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90 | "cell_type": "code", | |
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91 | "language": "python", | |
|
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92 | "outputs": [], | |
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93 | "collapsed": true, | |
|
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94 | "prompt_number": 7, | |
|
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95 | "input": "serial_nmats = 1000\nserial_matsize = 50" | |
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96 | }, | |
|
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97 | { | |
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98 | "cell_type": "code", | |
|
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99 | "language": "python", | |
|
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100 | "outputs": [ | |
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101 | { | |
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102 | "output_type": "stream", | |
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103 | "text": "1 loops, best of 1: 1.19 s per loop" | |
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104 | } | |
|
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105 | ], | |
|
|
106 | "collapsed": false, | |
|
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107 | "prompt_number": 8, | |
|
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108 | "input": "%timeit -r1 -n1 serial_diffs(serial_nmats, serial_matsize)" | |
|
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109 | }, | |
|
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110 | { | |
|
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111 | "cell_type": "code", | |
|
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112 | "language": "python", | |
|
|
113 | "outputs": [], | |
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114 | "collapsed": false, | |
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115 | "prompt_number": 9, | |
|
|
116 | "input": "serial_diffs = serial_diffs(serial_nmats, serial_matsize)" | |
|
|
117 | }, | |
|
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118 | { | |
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|
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.", | |
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120 | "cell_type": "markdown" | |
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121 | }, | |
|
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122 | { | |
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123 | "cell_type": "code", | |
|
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124 | "language": "python", | |
|
|
125 | "outputs": [ | |
|
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126 | { | |
|
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127 | "output_type": "pyout", | |
|
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128 | "prompt_number": 10, | |
|
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129 | "text": "<matplotlib.text.Text at 0x3475bd0>" | |
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130 | }, | |
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131 | { | |
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132 | "output_type": "display_data", | |
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133 | "png": 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CWKxqWTAyczM5EH8Af2d/raMIU0lpDXtfhSeeB12+1mmEsEjVsmDsu7SPjk06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\nrkJggg==\n" | |
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134 | } | |
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135 | ], | |
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136 | "collapsed": false, | |
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137 | "prompt_number": 10, | |
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138 | "input": "hist_data = hist(serial_diffs, bins=30, normed=True)\nplot(s, rhos)\nxlabel('Normalized level spacing s')\nylabel('Probability $P(s)$')" | |
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139 | }, | |
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140 | { | |
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141 | "source": "## Parallel calculation of nearest neighbor eigenvalue distribution", | |
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142 | "cell_type": "markdown" | |
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143 | }, | |
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144 | { | |
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145 | "source": "Here we perform a parallel computation, where each process constructs and diagonalizes a subset of\nthe overall set of random matrices.", | |
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146 | "cell_type": "markdown" | |
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147 | }, | |
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148 | { | |
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149 | "cell_type": "code", | |
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150 | "language": "python", | |
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151 | "outputs": [], | |
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152 | "collapsed": true, | |
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153 | "prompt_number": 11, | |
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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" | |
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155 | }, | |
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156 | { | |
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157 | "cell_type": "code", | |
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158 | "language": "python", | |
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159 | "outputs": [], | |
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160 | "collapsed": true, | |
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161 | "prompt_number": 12, | |
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162 | "input": "client = Client()\nview = client[:]\nview.run('rmtkernel.py')\nview.block = False" | |
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163 | }, | |
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164 | { | |
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165 | "cell_type": "code", | |
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166 | "language": "python", | |
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167 | "outputs": [], | |
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168 | "collapsed": true, | |
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169 | "prompt_number": 13, | |
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170 | "input": "parallel_nmats = 40*serial_nmats\nparallel_matsize = 50" | |
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171 | }, | |
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172 | { | |
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173 | "cell_type": "code", | |
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174 | "language": "python", | |
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175 | "outputs": [ | |
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176 | { | |
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177 | "output_type": "stream", | |
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178 | "text": "Running with 10000 per engine.\n1 loops, best of 1: 14 s per loop" | |
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179 | }, | |
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180 | { | |
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181 | "output_type": "stream" | |
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182 | } | |
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183 | ], | |
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184 | "collapsed": false, | |
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185 | "prompt_number": 14, | |
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186 | "input": "%timeit -r1 -n1 parallel_diffs(view, parallel_nmats, parallel_matsize)" | |
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187 | }, | |
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188 | { | |
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189 | "cell_type": "code", | |
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190 | "language": "python", | |
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191 | "outputs": [ | |
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192 | { | |
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193 | "output_type": "stream", | |
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194 | "text": "Running with 10000 per engine." | |
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195 | } | |
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196 | ], | |
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197 | "collapsed": false, | |
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198 | "prompt_number": 15, | |
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199 | "input": "pdiffs = parallel_diffs(view, parallel_nmats, parallel_matsize)" | |
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200 | }, | |
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201 | { | |
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202 | "source": "Again, the agreement with the Wigner distribution is excellent, but now we have better\nstatistics.", | |
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203 | "cell_type": "markdown" | |
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204 | }, | |
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205 | { | |
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206 | "cell_type": "code", | |
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207 | "language": "python", | |
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208 | "outputs": [ | |
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209 | { | |
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210 | "output_type": "pyout", | |
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211 | "prompt_number": 16, | |
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212 | "text": "<matplotlib.text.Text at 0x376c950>" | |
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213 | }, | |
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214 | { | |
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215 | "output_type": "display_data", | |
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216 | "png": 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EVW18Ex4dCOqcsCeEU7BoD+Py5cu0bdvW+LxNmzZcvnzZ6qFszXDKIFd3O7oL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\n" | |
|
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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 /> | |
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17 | </codecell> | |
|
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18 | <codecell> | |
|
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19 | <input>rc = Client() | |
|
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20 | v = rc.load_balanced_view()</input> | |
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21 |
|
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|
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22 | <prompt_number>5</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>result = v.map(lambda x: 2*x, range(10)) | |
|
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28 | print "Simple, default map: ", list(result)</input> | |
|
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29 |
|
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30 | <prompt_number>6</prompt_number> | |
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31 | <collapsed>0</collapsed> | |
|
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32 | <outputs> | |
|
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33 | <output> | |
|
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34 | <output_type>stream</output_type> | |
|
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35 | <text>Simple, default map: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]</text> | |
|
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36 | </output> | |
|
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37 | </outputs> | |
|
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38 | </codecell> | |
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39 | <codecell> | |
|
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40 | <input>ar = v.map_async(lambda x: 2*x, range(10)) | |
|
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41 | print "Submitted tasks, got ids: ", ar.msg_ids | |
|
|
42 | result = ar.get() | |
|
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43 | print "Using a mapper: ", result</input> | |
|
|
44 | <language>python</language> | |
|
|
45 | <prompt_number>7</prompt_number> | |
|
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46 | <collapsed>0</collapsed> | |
|
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47 | <outputs> | |
|
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48 | <output> | |
|
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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;] | |
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51 | Using a mapper: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]</text> | |
|
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52 |
|
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|
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53 | </outputs> | |
|
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54 | </codecell> | |
|
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55 | <codecell> | |
|
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56 | <input>@v.parallel(block=True) | |
|
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57 | def f(x): return 2*x | |
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58 | ||
|
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59 | result = f.map(range(10)) | |
|
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60 | print "Using a parallel function: ", result</input> | |
|
|
61 | <language>python</language> | |
|
|
62 | <prompt_number>8</prompt_number> | |
|
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63 | <collapsed>0</collapsed> | |
|
|
64 | <outputs> | |
|
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65 |
|
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|
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66 | <output_type>stream</output_type> | |
|
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67 | <text>Using a parallel function: [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]</text> | |
|
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68 | </output> | |
|
|
69 | </outputs> | |
|
|
70 | </codecell> | |
|
|
71 | </cells> | |
|
|
72 | </worksheet> | |
|
|
73 | </worksheets> | |
|
|
74 | </notebook> | |
|
|
1 | { | |
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2 | "nbformat": 2, | |
|
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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 | |
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| @@ -1,606 +1,280 b'' | |||
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|
1 | <?xml version="1.0" encoding="utf-8"?> | |
|
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2 | <notebook> | |
|
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3 |
|
|
|
|
4 | <nbformat>2</nbformat> | |
|
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5 | <worksheets> | |
|
|
6 | <worksheet> | |
|
|
7 | <cells> | |
|
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8 | <markdowncell> | |
|
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9 | <source><h1>Basic Symbolic Quantum Mechanics</h1></source> | |
|
|
10 | </markdowncell> | |
|
|
11 | <codecell> | |
|
|
12 | <input>%load_ext sympyprinting</input> | |
|
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13 |
|
|
|
|
14 | <prompt_number>18</prompt_number> | |
|
|
15 | <collapsed>1</collapsed> | |
|
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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> | |
|
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56 | <output> | |
|
|
57 | <output_type>pyout</output_type> | |
|
|
58 | <text>Ξ±β βΟβ© + Ξ²β βΟβ©</text> | |
|
|
59 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUY4QUFBQVhDQVlBQUFCdFI1UDBBQUFBQkhOQ1NWUUlD | |
|
|
60 | QWdJZkFoa2lBQUFCSEJKUkVGVQphSUh0MlZtc1hXTVVCL0RmdmIwZHFCWXRqWkNyV3ZkQk9pRFZs | |
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|
61 | bXBUTFRXMFVpU0drSGpScG9aRVRTVWtUUXlKc2VhSUd6RlVFU1hFCkEwcnd3SldLNFVFMFNqd2dh | |
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|
62 | Rk5xbmtyYTRQS3c5czdaZDkrOTl6Mm5kMEJ5L3kvbmZHdDlhNTMxLzc3MXJXL3RmUmpFL3hMM1k4 | |
|
|
63 | eS8KSFVRL28xODVOdmZDZGpTR05URC9KZ3pOeVM3SGhGN0UwRmVZaG5ZUjQxcGNpeWFOY2J3VUIr | |
|
|
64 | UmtsZnhhR2d5eU54aUpQM0t5cDdBYwpWd3hnSEhrc3hWKzRXTVRYakMvd1NZTisydkI1VGxiSnJ6 | |
|
|
65 | ZVozd2pHNHRzQytTYnNnVkc5OUQ5dEorMk93NTlZbzVZWW5mZ05oelhnCnAxbHNZQjZWL0FacThZ | |
|
|
66 | OUNSNGx1TlpiMDB2OGRPMkV6Q3ZQeFNFNCtYbVR4MnczNG1vcjNTM1NsL0FacThXY29KL01XWmc1 | |
|
|
67 | Z0xDbk8Kd21NRjhodnhpaWdaOVdLdTh1UXE1VmRVOHljbWdiVmlITDdHbGZnbDBUZmg3d0s3WVRn | |
|
|
68 | UFIySURic25vaHFvZDY5dkZ4WFJxUnI4TwppL0ZzQ1lIK3dIalJ6WXpHUTlndVl2OEtSeXZtbUVV | |
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|
69 | clZ1QjduSVNEc0F0dXdLZTV1WFh4TzFqVXFVWEp1Qm4zSmNicHp0MmRmRDZKCmZUSzJsMkNTMk9Y | |
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70 | dDJDMlI3NlhyaGJNYXYrZCt0MFZ4RnRhTGpnYm5qOHJFTkVwc3dtcVI3WjFZa09qeUhGTmNoSmV4 | |
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|
71 | djFpWGV4UDUKNGRpaWU5ZlRJNzgyc2V0WDUrUW5paXlZaWYweStteGdRM0ZYOG4wRmZsRGJyTk5F | |
|
|
72 | MlVreFZ2Zk1nS3R3U0ZXQUZlaG9jUDRpd1NlUAo0ZmhPY0tONDhjL0JSMnJKTlEzTE12cm44R0NC | |
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|
73 | NzBwK2E4WGlqOHpKVzhYaUx4Y0x2MjlCWU1QRnhzQkdjVnBTWEk4aG1mRVFrV1Y1CmpGSExvRWJS | |
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74 | MGVEOGxibVlzdGlJVjVQditjV2ZnQjFZbUpHdEVJbWI0Z0hGOTFzM2Ztbk5iOGF4ZUVHMFdWbHNU | |
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|
75 | ajZQRUgzc2x3V08KZDRqak5obFRSTStjb2tuWE5tdzZIaTd3a2M0dHd3UThvL2hpYmhQM1RCNWJ4 | |
|
|
76 | TW5ObzBWeGE5aUNBL0ZTU1F3TDhWTk8zNmJyTThGMAp2Rk5pMzRWZnV2aVRSVzMrb01TSWFLZVdW | |
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|
77 | dWhoamlDMVBobnZMUzdzTENiaWlRTGJjMFhXbE9FejVmMThCK2IxRUZ1SzBVbGNSVGhaClhKcnJT | |
|
|
78 | dlNUOGJIYVpkd2luaE5TdElua1cxbGcyNDFmbWtXYkVvZjVoU0pxVzZmWTdlMGxRYVhveERhMXJK | |
|
|
79 | cUgxekw2WmJseGloYXgKdWUvMTRMOHZNQmZINjM2Q1drUUpXWVBYUzJ6WHE1VmQ0a0hzM2VSN2sr | |
|
|
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>ββ½ β½ β | |
|
|
107 | βΞ±β β¨Οβ + Ξ²β β¨Οββ β (Ξ±β βΟβ© + Ξ²β βΟβ©)</text> | |
|
|
108 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5vQUFBQWFDQVlBQUFEUjlVSnZBQUFBQkhOQ1NWUUlD | |
|
|
109 | QWdJZkFoa2lBQUFDSHBKUkVGVQplSnp0bkhlTVZFVWN4ejkzUjBmZ3dEdWFvaWg0b0lKS1FNQ1du | |
|
|
110 | RjFBTUVyVTJFQVRRVVFsRmpSZzdCcERiSW1DR3ZWTUVLT29JV0pzCkpOWTFGaXlnU0FtaWxOaUFp | |
|
|
111 | RmhqUWVYT1AzN3p2TGV6TS9ObTN0dTdOYnFmNUxLN00vTm1mci85dmpmbE4zTmJRWms0aHdHekxY | |
|
|
112 | bmYKQStlMG9pMWwva2RNQVhxVzJvai9LYk9CTHFVMm9reHhxSFRrblEzc0FuelRTcmFVeWVjTllE | |
|
|
113 | SFF2dFNHbEdrNURnS2VCeXBLYlVpTQpXMHR0UUF0ajh1OVJZRjZKYmZpdjhhL3k4VG1ndm9qMXpj | |
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114 | RC9vWjFoU2M4Vng1UlU3QWJNQXVZQURjQ1JoaksrUGw1dVNjOFowdm9BCjI0RTlQZW85Rk9qblVj | |
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115 | NkZ5UVlYSnEwT0FvN09hRWRXWEhybEF1b3hhZVh5cnhZNHlwVFJ4cEIyTUREUVlGRGFRRUUxVUFj | |
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116 | MFdmTGoKVkFIOVBjcTFKbU9Bb2NDVHdDYms1bCtQM05nZnF6SWhQZzRNYUhzTGNDZHdOWENCbzl3 | |
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|
117 | SVplZTFBWFZueGFiVmFtQSs4R29yMmhMSApSeTlmVEZxNS9Oc0duQTU4QzZ4TXF2dzY0T1pBZzF4 | |
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118 | Y0NSem9XWFlFc2pZMGtjdGdRN2VVMXgwR1hHVkkzNnFsKy9wWUE5eGd5Y3RaCjBrY0JuenZxckFa | |
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|
119 | ZXhOeHBobUt6d1lSTHExbEl6NStGTkpyNTZKWHpyTXVsbGN1L1hzQXFaRlIxOGlSd2txY3hTYlFC | |
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|
120 | SGdrb1B4UG8KYThuTHBiU2hPK0pUS0YyQld3enAvWkdSNjJUMU9jVEhVekJQTzhIdTM2NnFQVnNF | |
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|
121 | OGk1VmJ6R3cyV0RDcFZVUDRONE1kcVRSekZldgpuR2Q5THEyUy9KdWk1NXVpamtPQVpaN0dKREVS | |
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122 | ZURxZ2ZCOWdjNUhhanFoU2Y2R2NCVHhtU0o4TnZBTThxejZIK0RnU1dCcG94M2JnCkIyQi9RMTR0 | |
|
|
123 | TUI1NEpyRE9ZdURTNmp2Z1Q2UjNUME1helh6MThzV2xWWkovRGNEaFNOUWVLSnh1dEFVRzRMN1pP | |
|
|
124 | d0RIQWtjZ1QvYnIKbUIwRXVRa21hV2tWd0JucStnWmd1VXF2VXNaSHpFSG11WTg3YkdsSitnRnJn | |
|
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125 | YzdJT3FrUzJWUHNCcHdJN0ZUbFREN0c2UTVNVnZVYwpvNjUvSDVubis2enBRTllZK3dQdmF1bGpr | |
|
|
126 | SnVvMFhGdGlGNDZXYlI2QUpnRzNPalpWbFo4OVhJUm9wWEx2eWJnUytUaGZ3QUtSN1E2CllJZWgw | |
|
|
127 | b2c5Z0JYQUlOWEE5Y0NGNUFkSnJsQ3ZvNEVQS0x3SlppTTN6a2ZBUGJIMDRUU1BwSlhLeUFzdGRy | |
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153 | WW91OEdEOVF1RkRkakF5eFhTMEdOU0pmekVKYWJxcllpUHZrUkp4Njh1ZnpmNUE4OVVueQpzUTc1 | |
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155 | M09SWUU2aTVsVklhTFVZCnY1RXhITGpNa1crTFRPcmtNdGhnNnRGTjNFbTZVL0F1SCs5QXdyOUo1 | |
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158 | VUpPYmZpc1YwOUhUb2owU0NvWWFFTWNYNjMyQXo2bGNLOHRGSisyMHVqbDh0RkhLNWQvWFpEamFC | |
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160 | T1pMMW4wU2x1Znk3K094RTdzbHlsVHBreVpNbVhLbENtVGdyOEIKMktjNjJRN3k0RTRBQUFBQVNV | |
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161 | Vk9SSzVDWUlJPQo= | |
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162 | </png> | |
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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> | |
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164 | <prompt_number>22</prompt_number> | |
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165 | </output> | |
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166 | </outputs> | |
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167 | </codecell> | |
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168 | <markdowncell> | |
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169 | <source>Distribute</source> | |
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170 | </markdowncell> | |
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171 | <codecell> | |
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172 | <input>qapply(expand(ip)) | |
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173 | </input> | |
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174 | <language>python</language> | |
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175 | <prompt_number>23</prompt_number> | |
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176 | <collapsed>0</collapsed> | |
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177 | <outputs> | |
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178 | <output> | |
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179 | <output_type>pyout</output_type> | |
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180 | <text>β½ β½ β½ β½ | |
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181 | Ξ±β Ξ±β β¨ΟβΟβ© + Ξ±β Ξ²β β¨ΟβΟβ© + Ξ²β Ξ±β β¨ΟβΟβ© + Ξ²β Ξ²β β¨ΟβΟβ©</text> | |
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182 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVU4QUFBQWFDQVlBQUFBMytkNENBQUFBQkhOQ1NWUUlD | |
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183 | QWdJZkFoa2lBQUFCOVZKUkVGVQplSnp0bkh1SUZWVWN4eiticm1CcFdxMWFtcGJQM0hWVnhDaWwx | |
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185 | dEswN0tFRitjaisrTTJ3czNOblpzL3ZuSm01c3pKZldOZzc4enUvTS9kenZuZG16bS9PdlhXVTZn | |
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187 | MGdCN0JLeHRtclpKeU5NdVY2VUJaSgpEVFVaR0djWU94YzRLbUw3Q0tCQjBXZFVubGxlbnM2a091 | |
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207 | bFlRMWpUV3hXM3JYTjRhdUthN0RtT1JONGhlcjV2bCtuR1l0YwpLUit3ak8rRzFJL0NUN1QyQTY4 | |
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217 | Uzd0UElNCkEzNEMvakhvdzBWYWRxT0F4NEdMUS9HTndEM0lnSDhYMmhmSGVTUHdObEtVQjVtU2Z1 | |
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218 | NzkzNExVZmxxQWJSMjhoeUl6MXZBcXFvOXQKeHlrdkQyc1lhLzJicFhkVDVScThkWitGRkd0WEly | |
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219 | Zk0vWkd2SkYyRDFDeFdBTGNnU3pwczRuMnRSYjZ6R3A2Mi9JR3NmYnNEV1cvbApMeGNZaVJUZmI4 | |
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222 | eElBWHJwRzgzRFVPdVZnTVRZaUI2U21tVHB4Y2QKTDhydFNLMFdiVXpZM1IzYU53anphVmtTNTI3 | |
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224 | bEVBL3lSQy9waHhnR0l3dFRmMGlJTVpGcG52bkFhc2UrNHI2SmtxU08yTlZSdld6amU4eW5aVW1j | |
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225 | ZHdPL3gvU3ZVVjZNClRmaTY4Q3FxajAzSEtTOFBheGk3akVmVzNuWG1XcXNmQmxtSGZJTWpUaFhz | |
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226 | N3VSczhuUkI2bGxKUzBkTU5NK3hmWlNhZ2E4YzJpZHgKUGc3NDJpRzNyd3I1TURiaDY4cExxeng4 | |
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227 | YkRKT2VYcFl3OWhsUExMMnJqUFhXcDA4OXlMRjIrYVkvZjFvV3lPV3BOWEFGd243VGZLMApJTFVZ | |
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228 | VjVuK1FJUkdVNEMzSE5vbmNUNEplTWNnUjFFWW0vQjE1YVZWSGo0MkdhYzhQYXhoN0RJZVdYczNU | |
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229 | NjZwcTU3NDJrZlVyMjNiCnlDUlBiK0svMFZCcjlVc2hSeHpudnFSejhTd1M0elI0YVpXMWowM0dL | |
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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 | Aβ B + A + Bβ A + B</text> | |
|
|
283 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU1BQUFBQVpDQVlBQUFCbjdTSGdBQUFBQkhOQ1NWUUlD | |
|
|
284 | QWdJZkFoa2lBQUFCT05KUkVGVQplSnp0Mmx1b0ZWVWN4L0ZQNmpuWnNkTk5LelZGS0xzWDFFT1Jw | |
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|
285 | R1lJS1JrRlJnUkpENzBvRkJSRm1sUXYwa3NQUVVWWVBZWFJUY1RxCklTcUtvdWhDRDBZU2RDVUt0 | |
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286 | SXRkMEpKU3V1bnBZZTNOMlU0emU2ODFNL3NjT2N3WERwczlhODNNLy9mL25UWHJ2OVpzR2hvYUdo | |
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287 | STUKRW1kZ3luZ0gwdENUcmw1Tkh0dFlKZ1Fyc0JMSFlDT21ZdHU0UnRSUVJPTlZ6UXpncGRZbm5J | |
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288 | NFJYRGh1RVRVVTBYalZCMDdBbjFqUQpjZXdQckJtZmNCcTZFT1ZWYWcyN0VvUFkzS1hQUnN3cmFQ | |
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|
289 | c0hPMXZuZjVCNDcxUUc4WGRDL3p4dDJXdnN3Ykg0cS9WOVBvN1NmeTFGCjlDUFhNUjdYVFpGWEtm | |
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290 | cjY3dFdKcllzKzFxUGZJTTRYcHB2bk1TUU10Q21ZZzRkYmJldktCaExCTEt4TzZGK2s3VjZqVTJn | |
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291 | ZVc3RSsKTGJSYXFUdlhzUjdYU1RldlV2VDEzYXNuV2pkN01hTHZpbGJmNjNQYUJ2QXo5Z2tDWTBo | |
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292 | WnJFOFNERXc1cDBqYm1YaTg0SnkxdUNYaApIdDJvc2hsUlo2NVRQQzZpYnE5aTlaWHlhbEprb0pj | |
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293 | SzA4c0laa2IwWDl6NmZEdW43VURyT2tkRTNuOHBib3ZvMStZbXZONjZUd3pkCnRIMHBKUGk4elBG | |
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294 | VitFeVlvZ2V3TUNHK0xLbjZzdFNWNjFTUDgraUhWN0g2ZGlqaFZjdy80QlRjaDd1eFcvd0ErQncv | |
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295 | NWJRdHhVbDQKVmxpazlHSkEvRXdCTndpci94aGl0TDNnMEtmSGRUaEhTUHBWZ3VGSEo4U1hKVlZm | |
|
|
296 | bGpweVhjYmpQUHJoVllxK3ZuaDF1OUdWOHlmWQozNlAva1BBa2VUU25iYUZRWTI0UlhsREVzRng4 | |
|
|
297 | N1hZODNvenNTNXkySVdHeEJkUHhQajdNL00xT3VHZVdGSDE1c2RXUjYxU1BpNmpiCnExUjl5Vjcx | |
|
|
298 | MmdXYWphdUZrUVkvNGx4aGRiMjM0SndGd3BQZ1pLUEpHRzRGdkEvWDRxMGU5eTNMcWRnVjJUZFcy | |
|
|
299 | MzRjRko1c3U0VlMKNFhDaGpseVg4YmdPWXJ4SzFaZnNWYThCOElBd0xSNXNmVzlQUXpNVko2ZGRz | |
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|
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>Aβ B - Bβ 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>[Aβ 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]β B + [A,C]β B + Aβ [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 | |
|
|
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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 | Aβ Bβ C + Aβ B - Bβ Aβ B - Cβ Aβ B</text> | |
|
|
495 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU84QUFBQVpDQVlBQUFEWnUzbTlBQUFBQkhOQ1NWUUlD | |
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520 | OG5vRjBCUVlaYStoK0pQU2V4SFZJeFVSWmcwUjhvelFDcnhIZgpJSU1KOTdMUjN3ZGNubEJlbW5v | |
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523 | Nmg5U3R1MEYvSzRwTTAyOTFBQXQKd0FmSkprOUFOOTFnU3hxN0EvTDJJMWZOcm42WXQ5NEpsSkNC | |
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525 | V2NCRFpjcE5VeTlMTUp0dnJDUnA3SVppL01nVkZ6OHNSRy93NVMwaGI1MExrVVVCWFVpZlBoelc3 | |
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526 | Z0xPClZQc2R5SmpoZFdTTjdVS2s2em9YQ1lzdlE3b21BQWNBNXlIZDJFWEF3eEhqdGlNTER4NVFJ | |
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527 | cjRGUGtHNk1BMUtjSjlHV0ZhNDZOOEEKZkloRWhtY0NINmswRGFTdmw0T1JLWVB1Yk9SWjRXSjNr | |
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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 | β β β β β β β β β β β β β | |
|
|
551 | - B β A β B - B β A β C + βB β β A + C β B β A</text> | |
|
|
552 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVd3QUFBQWFDQVlBQUFDVGsyYlJBQUFBQkhOQ1NWUUlD | |
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587 | T01QcnVsCnhDMlA4aDlwa1g4ZU90aFNWanNQamU1YlhDUGRPT0FLemJ4MVVWMzhBam13a2p6Vkdz | |
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588 | ZG5mUnlQZEdDZERlNU40dHQzVkZDeGU1N3QKcEt5K1pFMy9TUEQ4alBpWnlKeE5OZU9vc0lMc1Vl | |
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589 | cjhxQXltUDRDVGx3NDJsTjNPYXhFbjZaVVJmekl5Q21uSWlIZUZUb2RkaC96WQowcFNVT0ovMVVS | |
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|
590 | L2RON1pXUWtWOCtvNHFxbmJQbzUyVTNaZXNhSTRFbjVFSTd3dk1SbFpabHlPbngweG9CTzVHVm82 | |
|
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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 | |
|
|
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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\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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\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", | |
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250 | "text": "2 \nA\u22c5B\u22c5C + A\u22c5B - B\u22c5A\u22c5B - C\u22c5A\u22c5B" | |
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251 | } | |
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252 | ], | |
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253 | "collapsed": false, | |
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254 | "prompt_number": 31, | |
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255 | "input": "_.doit().expand()\n" | |
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256 | }, | |
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257 | { | |
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258 | "source": "Take the dagger", | |
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259 | "cell_type": "markdown" | |
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260 | }, | |
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261 | { | |
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262 | "cell_type": "code", | |
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263 | "language": "python", | |
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264 | "outputs": [ | |
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265 | { | |
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266 | "output_type": "pyout", | |
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267 | "latex": "$$- B^{\\dagger} A^{\\dagger} B^{\\dagger} - B^{\\dagger} A^{\\dagger} C^{\\dagger} + \\left(B^{\\dagger}\\right)^{2} A^{\\dagger} + C^{\\dagger} B^{\\dagger} A^{\\dagger}$$", | |
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268 | "prompt_number": 32, | |
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269 | "png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAAAaCAYAAACTk2bRAAAABHNCSVQICAgIfAhkiAAABwZJREFU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\n", | |
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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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| @@ -1,1043 +1,279 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><h1>Gate Decomposition</h1></source> | |
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10 | </markdowncell> | |
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11 | <codecell> | |
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12 | <input>%load_ext sympyprinting</input> | |
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13 |
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14 | <prompt_number>1</prompt_number> | |
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15 | <collapsed>1</collapsed> | |
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16 | <outputs /> | |
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17 | </codecell> | |
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18 | <codecell> | |
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19 | <input>from sympy import sqrt, symbols, Rational | |
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20 | from sympy import expand, Eq, Symbol, simplify, exp, sin | |
|
|
21 | from sympy.physics.quantum import * | |
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22 | from sympy.physics.quantum.qubit import * | |
|
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23 | from sympy.physics.quantum.gate import * | |
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24 | from sympy.physics.quantum.grover import * | |
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25 | from sympy.physics.quantum.qft import QFT, IQFT, Fourier | |
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26 | from sympy.physics.quantum.circuitplot import circuit_plot</input> | |
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27 | <language>python</language> | |
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28 | <prompt_number>2</prompt_number> | |
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29 | <collapsed>1</collapsed> | |
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30 | <outputs /> | |
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31 | </codecell> | |
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32 | <markdowncell> | |
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33 | <source><h2>Example 1</h2></source> | |
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34 | </markdowncell> | |
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35 | <markdowncell> | |
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36 | <source>Create a symbolic controlled-Y gate</source> | |
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37 | </markdowncell> | |
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38 | <codecell> | |
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39 | <input>CY10 = CGate(1, Y(0)); CY10 | |
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40 | </input> | |
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41 | <language>python</language> | |
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42 | <prompt_number>3</prompt_number> | |
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43 | <collapsed>0</collapsed> | |
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44 | <outputs> | |
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45 | <output> | |
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46 | <output_type>pyout</output_type> | |
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47 | <text>C βY β | |
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48 | 1β 0β </text> | |
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49 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQURjQUFBQVlDQVlBQUFCZUlXV2xBQUFBQkhOQ1NWUUlD | |
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66 | T3hxbGg0UnFpMjZ4Vkd5SmEvOGIweHVVRndNSHVwQQo5NkE0ZXJLTXc3ZVo5elU0SXNMMW1sQ1dj | |
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67 | eTFtaVZBZjA0SHR3NjU4VDg0UXgwVnJVL3J3bGZMajRhcm9FaCt6NzRuY2VFWDU5ZWxCCnhSV3hq | |
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68 | dGxpOTFkZ0V4N0k5RzFTVWVpcVNuUlQ4bjh6bk1jdkpiSmo4RWVIZm9wMHI4YmVkYTd6WDNBWmd6 | |
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69 | dWJDa2Y3Z3o0QUFBQUEKU1VWT1JLNUNZSUk9Cg== | |
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70 | </png> | |
|
|
71 | <latex>$$C_{1}{\left(Y_{0}\right)}$$</latex> | |
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72 | <prompt_number>3</prompt_number> | |
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73 | </output> | |
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74 |
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75 | </codecell> | |
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76 | <markdowncell> | |
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77 | <source>Decompose it into elementary gates and plot it</source> | |
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78 | </markdowncell> | |
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79 | <codecell> | |
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80 | <input>CY10.decompose() | |
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81 | </input> | |
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82 | <language>python</language> | |
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83 | <prompt_number>4</prompt_number> | |
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84 | <collapsed>0</collapsed> | |
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85 | <outputs> | |
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86 | <output> | |
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87 | <output_type>pyout</output_type> | |
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88 |
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89 | 0 1,0 0 0</text> | |
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90 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUlnQUFBQWNDQVlBQUFDNlRmY0hBQUFBQkhOQ1NWUUlD | |
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128 | cHF6UUFBQUFCSlJVNUVya0pnZ2c9PQo= | |
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|
129 | </png> | |
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|
130 | <latex>$$S_{0} CNOT_{1,0} S_{0} Z_{0}$$</latex> | |
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131 | <prompt_number>4</prompt_number> | |
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132 |
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133 | </outputs> | |
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134 | </codecell> | |
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|
135 | <codecell> | |
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|
136 | <input>circuit_plot(CY10.decompose(), nqubits=2)</input> | |
|
|
137 | <language>python</language> | |
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|
138 | <prompt_number>5</prompt_number> | |
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139 | <collapsed>0</collapsed> | |
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140 | <outputs> | |
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141 | <output> | |
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142 | <output_type>pyout</output_type> | |
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|
143 | <text>&lt;sympy.physics.quantum.circuitplot.CircuitPlot object at 0x2c85f10&gt;</text> | |
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144 | <prompt_number>5</prompt_number> | |
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145 | </output> | |
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146 | <output> | |
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147 | <output_type>display_data</output_type> | |
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148 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVE4QUFBQ09DQVlBQUFBdnRJMzNBQUFBQkhOQ1NWUUlD | |
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149 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUNUNUpSRUZVZUp6dDNFdElW | |
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194 | Y3FXVWxaVkplM3Q3V08vZHRXdVh6Sm8xUzlMUzB2b29uYnVpZlg0K3J3UDBsWFhyMXNuOSsvZGwx | |
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196 | OWRLUzB1THBLYW1Ta0pDZ3V6YnQwK21UcDNxZFVTVGpSczMKU2s1T2pwU1dsc3FCQXdkazBLQkIz | |
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197 | YjduNE1HRGN1clVLYmw1ODJZL0pIUkh0TStQditmaHdacTlFV3QvRXlLVWxwWVdLU3dzbEtGRApo | |
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198 | OHFPSFR0azRzU0p2OC85bWZ2NTgrZXlaODhldVh6NXNwdy9mMTdHakJualZlUnV4ZHJzWXZheEJk | |
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199 | RXRLU2xKTGx5NElGT25UcFc1CmMrZkt0R25UNU5peFkzTHAwaVVSRVRseDRvVGs1K2RMVmxhVytQ | |
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200 | MSt1WEhqUmtRWFJ5emlrNGNIYS9aR3JQM3YxUk50YlcxeTVzd1oKT1gzNnRMeDkrMVpxYW1wa3dZ | |
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201 | SUZrcGVYSjB1WExwWEJnd2Q3SGJGSFltMTJsSWNIYS9aR3JQMERIRWhpYlhZOHRnQXdpYmx2V3h6 | |
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202 | SApjWFc5NU9Sa1Y5ZHpnMXQ3ak1TOXhicFltbDFNUGJZQTZEODh0Z0F3b1R3QW1GQWVBRXdvRHdB | |
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203 | bWxBY0FFOG9EZ0FubEFjQ0U4Z0JnClFua0FNS0U4QUpoUUhnQk1LQThBSnBRSEFCUEtBNEFKNVFI | |
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204 | QWhQSUFZRUo1QURDaFBBQ1lVQjRBVENnUEFDYVVCd0FUeWdPQUNlVUIKd0lUeUFHQkNlUUF3b1R3 | |
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205 | QW1GQWVBRXdvRHdBbWxBY0FFOG9EZ0FubEFjQ0U4Z0JnUW5rQU1LRThBSmo4RHdBb24zcHVmNG1n | |
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206 | QUFBQQpBRWxGVGtTdVFtQ0MK | |
|
|
207 | </png> | |
|
|
208 | </output> | |
|
|
209 | </outputs> | |
|
|
210 | </codecell> | |
|
|
211 | <markdowncell> | |
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|
212 | <source><h2>Example 2</h2></source> | |
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|
213 | </markdowncell> | |
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|
214 | <markdowncell> | |
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|
215 | <source>Create a controlled-Z gate</source> | |
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|
216 | </markdowncell> | |
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|
217 | <codecell> | |
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|
218 | <input>CZ01 = CGate(0, Z(1)); CZ01 | |
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|
219 | </input> | |
|
|
220 | <language>python</language> | |
|
|
221 | <prompt_number>6</prompt_number> | |
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|
222 | <collapsed>0</collapsed> | |
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|
223 | <outputs> | |
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|
224 |
|
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|
225 | <output_type>pyout</output_type> | |
|
|
226 | <text>C βZ β | |
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|
227 | 0β 1β </text> | |
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|
228 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQURrQUFBQVlDQVlBQUFCQTZGVVdBQUFBQkhOQ1NWUUlD | |
|
|
229 | QWdJZkFoa2lBQUFBMUpKUkVGVQpXSVh0MkZ1SVZXVVV3UEhmTk9NTVhaalIwcHA1cUxCb3hxZ0gw | |
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|
230 | NHJJUUVub01rUVFYWVRvWXNKa1JCRkVwQlVSQlltOUdkUkRQaVF5ClVFUXZSWlFpaEQ1MEU4RXVV | |
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231 | RVpCV2c5Tzl3dFptV1Qxc1BiT2MvYnN2YzkzenB5SEh1WVArMkYvYTUyMTl0cmZXdXRiK3pDTFVk | |
|
|
232 | eVAKbC9FMmR1QUZMRVFQdG1LNEMzNG04RTkyL1lyM3NUMjczc3pXZjhaZ0YzejlSeS9XNHlEdXhq | |
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|
233 | a05zdE94QzF2d2FSczI1K0syQ3RucgorQUtYbHNpMjRnaFcxdGkrcjQzbkFHZmdYUnpBb2dxZEpl | |
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|
234 | THRQcE5vY3hDVEdDcVJuWUQ5RmJMSE16K3JXOWkvQms4bVBvcys3TTZjCmpyVFEvUWJYSmRyZGdz | |
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|
235 | VVZzbXZ4VU1uNmFoSGdFNGsrWHNLYUZNVU5tZUZiRW5UZkVpbllpc1Y0clVaK3ZlbTd1RktrNkdT | |
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|
236 | Qy9aeGgKZklJNWRVb1g0Q2creG5FSlJsY2xPbjlScEZNcTU0c21zeFA5YmZ3T051SEdPb1ZIeEM1 | |
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|
237 | T3RHbTRqajU4TDcwcmp1QXI3TU84RHZ6ZApKYnB4SmR0RWtFczdNRjdGTW55WXFIc1M5b3BhWDlp | |
|
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238 | aHZ4VTRWS2Z3bzBqWDR4T01qU1k2dlJWdkpPajFabnEvNGFLQzdFS2NsdWh2ClJHelUvTWJGeHRy | |
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|
239 | N1V0VENIeTBNTGNBZGlVNkhNNXV0ZUJaWDRtYnNLY2pXNFpkRWYxTmltRGl6Y2JFeHlGMDRXWnlU | |
|
|
240 | ZGR3akNqeG4KbVJnY0hzRERCZDErVVpkMXJNTmFNVm05V3BDZExTYXJ3OW45SER5UHMycnNIUktw | |
|
|
241 | WDhvbG1iSDFOUWJXWmxmT0FqSDE5R2IzbTdLSAp6WmxRWDVPcjhEZWVMcEgxaWJQdjl1eCtqVGd6 | |
|
|
242 | LzFJOXBBeUtkRDIzeHFlcjhEdnUxVnliWTlpSThZTCtZOWpjY0grNU9LdHl4ak43ClBTVytMaE12 | |
|
|
243 | OVJYTkdkV1hCYkZOQkhSSzRYZUhWUWQ1c1FpeTZmd3VwdEoyTEJkdmVJZW96eWw4anVmRUpOVElJ | |
|
|
244 | czN6NjBIeEZnZncKcHhnUCswV05IR2pRNjgrQ0d4Q2Q5SjFzZlVpa2FINmc3OFFQRlFHVk1ZYVBG | |
|
|
245 | UHBBV2Izc01iMzRxNWd2ZGlvbmIxcEQrQlkvaVRGeApUSE9RUnhRNllKZklNNkNKbE1tbWp2MGlQ | |
|
|
246 | WEpPZE95ektHY3picGlobnhUNmNMVm9URTNNTk1pOU9MWGhmaGhmaTUzS21SUUR4dklaCittckZn | |
|
|
247 | M2dQbjNYYjhCTE5xZjBVSGkzUlc1cnBEWFRCWjFuakdjVUhLa3FndDJ5eERhWXl3MWZnUExHckd6 | |
|
|
248 | VHZaSzYzRHplSmZ4ZzYKWVZ4OGZxMFE1K0JjeDQ2bmpiaFRqSVRUS0d2dG5kQWpPbUl4dUNKNTEr | |
|
|
249 | MkVlWm96NFNpKzY0TGRXV2I1UC9Fdk4yS243REZxRG5vQQpBQUFBU1VWT1JLNUNZSUk9Cg== | |
|
|
250 | </png> | |
|
|
251 | <latex>$$C_{0}{\left(Z_{1}\right)}$$</latex> | |
|
|
252 | <prompt_number>6</prompt_number> | |
|
|
253 | </output> | |
|
|
254 | </outputs> | |
|
|
255 | </codecell> | |
|
|
256 | <markdowncell> | |
|
|
257 | <source>Decompose and plot it</source> | |
|
|
258 | </markdowncell> | |
|
|
259 | <codecell> | |
|
|
260 | <input>CZ01.decompose() | |
|
|
261 | </input> | |
|
|
262 | <language>python</language> | |
|
|
263 | <prompt_number>7</prompt_number> | |
|
|
264 | <collapsed>0</collapsed> | |
|
|
265 | <outputs> | |
|
|
266 | <output> | |
|
|
267 | <output_type>pyout</output_type> | |
|
|
268 | <text>H β CNOT β H | |
|
|
269 | 1 0,1 1</text> | |
|
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298 | ajczQXBlakhpbWRRaXJZU2VNakkKRnFCZDZsRnErdnNKM2E2MW9KemF4bE5vSWRsWWpZdzdGYm50 | |
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300 | cmRpamxlbmtCb3pyVUFBYVJUSG5LM1NIcDNTZTdlU21hZjFRQnRIbFNBMWVPRnVBa3dKMWc5Rngx | |
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302 | V2hnTmdvOEcxRnVmejJLNmtHLy9kZVEKL2NlTFlzNVhxTzZrN29UN29CVEx6eDZ5SSsvdVFDblow | |
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303 | VHBvam05QWY1endLT1o4cGJib0F0eDBwQWVRY3Zpb1JwY2tLZDJFcE9LawpsSlNVbEpTVWxHN01m | |
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304 | MjBkWGlkUDdJV25BQUFBQUVsRlRrU3VRbUNDCg== | |
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|
305 | </png> | |
|
|
306 | <latex>$$H_{1} CNOT_{0,1} H_{1}$$</latex> | |
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|
307 | <prompt_number>7</prompt_number> | |
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|
308 | </output> | |
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|
309 | </outputs> | |
|
|
310 | </codecell> | |
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|
311 | <codecell> | |
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|
312 | <input>circuit_plot(CZ01.decompose(), nqubits=2)</input> | |
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|
313 | <language>python</language> | |
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|
314 | <prompt_number>8</prompt_number> | |
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315 | <collapsed>0</collapsed> | |
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316 | <outputs> | |
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|
317 | <output> | |
|
|
318 | <output_type>pyout</output_type> | |
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|
319 | <text>&lt;sympy.physics.quantum.circuitplot.CircuitPlot object at 0x472d550&gt;</text> | |
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320 | <prompt_number>8</prompt_number> | |
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|
321 | </output> | |
|
|
322 | <output> | |
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|
323 | <output_type>display_data</output_type> | |
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324 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5jQUFBQ09DQVlBQUFDaS9KMktBQUFBQkhOQ1NWUUlD | |
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363 | UktTa3BrZlBuCno3czhWWFp6VkZYZEhnSi83K0RCZzlMUjBTSFQwOU8vM3VmMys2V3JxMHRDb1pD | |
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368 | Q3pCQ1hJQVI0Z0tNRUJkZ2hMZ0FJOFFGR0NFdXdBaHgKQVVhSUN6QkNYSUFSNGdLTUVCZGdoTGdB | |
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369 | SThRRkdDRXV3QWh4QVVhSUN6QkNYSUFSNGdLTUVCZGdoTGdBSThRRkdDRXV3QWh4QVVhSQpDekJD | |
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370 | WElBUjRnS00vQXZuK01DMi9PUDM1Z0FBQUFCSlJVNUVya0pnZ2c9PQo= | |
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371 | </png> | |
|
|
372 | </output> | |
|
|
373 | </outputs> | |
|
|
374 | </codecell> | |
|
|
375 | <markdowncell> | |
|
|
376 | <source><h2>Example 3</h2></source> | |
|
|
377 | </markdowncell> | |
|
|
378 | <markdowncell> | |
|
|
379 | <source>Create a SWAP gate</source> | |
|
|
380 | </markdowncell> | |
|
|
381 | <codecell> | |
|
|
382 | <input>SWAP10 = SWAP(1, 0); SWAP10 | |
|
|
383 | </input> | |
|
|
384 | <language>python</language> | |
|
|
385 | <prompt_number>9</prompt_number> | |
|
|
386 | <collapsed>0</collapsed> | |
|
|
387 | <outputs> | |
|
|
388 | <output> | |
|
|
389 | <output_type>pyout</output_type> | |
|
|
390 | <text>SWAP | |
|
|
391 | 1,0</text> | |
|
|
392 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUU4QUFBQWNDQVlBQUFBZ0x1TGZBQUFBQkhOQ1NWUUlD | |
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394 | c08wc2toSndoSktvaWlWSUFpRHBEQXF3WXdzaWg1WTlLU283RVZHClVWRXJiaVhhd3lpa0NJMG9r | |
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417 | NDgzR1o3Z2x1cXpobDE0Z2IwaW5pbHJUaFA3RjJMOE5RVVdSWApub016dkFaY1hXTnRVNTVRVkp2 | |
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|
418 | dHkvaTFCbStiMnY3bzJNMjI3Rk9ZS0s1ZlBkZ0o3RzlmWVE5NjBJTWUvQ3Y4QTk3RzZZNFE3TUxv | |
|
|
419 | CkFBQUFBRWxGVGtTdVFtQ0MK | |
|
|
420 | </png> | |
|
|
421 | <latex>$$SWAP_{1,0}$$</latex> | |
|
|
422 | <prompt_number>9</prompt_number> | |
|
|
423 | </output> | |
|
|
424 | </outputs> | |
|
|
425 | </codecell> | |
|
|
426 | <markdowncell> | |
|
|
427 | <source>Decompose and plot it</source> | |
|
|
428 | </markdowncell> | |
|
|
429 | <codecell> | |
|
|
430 | <input>SWAP10.decompose()</input> | |
|
|
431 | <language>python</language> | |
|
|
432 | <prompt_number>10</prompt_number> | |
|
|
433 | <collapsed>0</collapsed> | |
|
|
434 | <outputs> | |
|
|
435 | <output> | |
|
|
436 | <output_type>pyout</output_type> | |
|
|
437 | <text>CNOT β CNOT β CNOT | |
|
|
438 | 1,0 0,1 1,0</text> | |
|
|
439 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU9RQUFBQWNDQVlBQUFCeGxoUDVBQUFBQkhOQ1NWUUlD | |
|
|
440 | QWdJZkFoa2lBQUFCVGhKUkVGVQplSnp0bTN1SVZVVWN4ejkzdDAxdGEwUEQyaDd1WnFRR1dXUmdT | |
|
|
441 | dlorSzBRRVlVUVBlbUNSRWowa2tMVEFpRW9JQXd1V2lwRE5zcVJhCmdnaEN4WTBzTFhBVkNyUFdq | |
|
|
442 | YzJnTXJRbnZTaHMrK1AzdTd0elorZWNNL2VlcytuZW1ROWN6ajN6KzgzcmUrYk0vYzNjY3lBU2lZ | |
|
|
443 | d2EKcGdJUEFLOERId0xyZ2JYQVpLQUVkQUt0Nm5zUzBBM3NCZ2FBYlk3eVpnS2ZxMzBBNkFNdXRu | |
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|
444 | d2FnT3VBTG1DTmZ0WURqd05IV0w3ZApXczUrWUpQNi9hUnB2Y0M3bXI1SDB4NnFxdmZWRWJYeXB4 | |
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|
445 | cXRJT3BGSTdBRStCWllDRXd4YkpPQTk0RFZpQUEyaTRGUHRKR3pFOHJ2CkJxNTFwSjhDN0FRNmdH | |
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|
446 | WWp2UW01WUwxYVA4QUp3RDVnbHFQc2Y0RHhSdHBod0ViZzVvVDI1Q0ZxNVU4ZXJTQTh2UUJvQTdZ | |
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|
447 | Q1h3R24KSmZpY2pZanlyTU8yRnBpajlzNkUvSzg0MGlZQi9jQ3RDWG5HYVp1NjlQeGU0QnJMNTNE | |
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|
448 | Z0Q2VDlObzh3WE9DOFJLMzh5YXNWaEtVWApJSGY3eDBqamo4L3cvWjdoTTFFSldLZmZlNEEvZ1Ft | |
|
|
449 | V3p3UmdsWlhXaXN4UXoyWFV1UWE1R08xYVQ2TmxMMStzRlk2OHoxQTVzK1VsCmF1VlBYcTBnRUww | |
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450 | YXJQTkhnWE9BaDRIdk12THVSbjdDVGFZallRRklhREFXdU0zeU9SLzR3RGh2UVg3eWp3VHV5Nml6 | |
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|
451 | VDQ5bkFlOEEKQnl6N2hYcDgzNUczQjFrREZFWFV5cCs4V2tGWWVnRXdReHV4aytFM3FvdnJIV21M | |
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|
452 | R0dwNE0vQXpJbkRKOEZsSjVZTDlRV1RtZWNLagp6cGZVMTFVM3lFTDdBSEMwUjFsNWlGcjVVNFJX | |
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|
453 | RUk1ZWd5elZCaTNJVVVZbk1uT1ZXYVZsWG02a3ZXcDhid0MrVnA5cEh1VnZVOStUCkhiWkc0RmRn | |
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|
454 | dTM5emF5WnE1VThSV2tFZ2Vwa3oxbmw2ekZQcFdPQXY0N3hEajNmcnNRWDR4YkMzSXd2dS9jQVhH | |
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|
455 | V1dQQjA0SDlpSUwKY0pzWndGRzRRNHFpaVZyNVU0UldFSWhlNWcwNUMvZ1grTXdqMzFSSDJoUWto | |
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|
456 | RERaaFd4bFh3MmNpRnljTFliOVZEMzJlOVM1RUxrbwpYUW4yQy9UNGZ3eXlxSlUvZWJXQ3NQUWFa | |
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|
457 | QWZ3ZzRmZlJOd3grUjNBRlk3MCtVZ29zQng0a3NxUTRFeTFiY2lvY3d3eWUvVWpNNVdMCnQ3U3Np | |
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|
458 | UmxsRlVIVXlwKzhXa0ZZZWczeXRGYmFsdUczSERqT2tmNGlzcHRsMDRSMCtCdmdUY3ZXZ094Ty9V | |
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|
459 | N2wrc0JtQlRMTFhwUmcKTHlHaGljOHMzQWE4NXVFM0Y5a1VXTXBRV0ZRbUJLM1MrdThpU2RlOFdz | |
|
|
460 | SG8wQXVLR1Z1RHpFWmk5Q1VwQmQybEh4ZnJFdElCSGtNdQp5c3NPMi9OcW01dVFkekh5aCt6dEtl | |
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|
461 | VlAxekk2VW55YWdXWGFocjRVUDVBL3JqOWlhQWZ2RFdRMkxsUHZXbVgxM3lSTDE3eGF3YUd2ClY1 | |
|
|
462 | RmpxNEtydElIM0lFOHZsSm1HaEFUekV2TGRDTHlkMG9nMlpNdjRUb2V0U2ZOdW9mS1AzblprMXZ3 | |
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|
463 | VVdYQ25zUXdSN2FZTVA0REwKeUJidEJlVHBpekszSU04eW10U3pWajc5dDBuVHRWYXRZSFRvVmFh | |
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|
464 | b3NWWEJUT0FwWUxNNmRtcWpKanQ4NXdGZk12UkE3dzRrZG5mUgpSZktpZlF4d1B4S2FyTlpQQi9K | |
|
|
465 | ODRMaUVQQXVROWNGV0pPUVlRRUtYVGNnalZrbjRpTFlaV2JlWWVmWTUvT3BWSzkvK1kvbWs2VnFO | |
|
|
466 | ClZqQzY5Q3BUNU5nS0JoL1JkZ0UzR09kemdMOUhyRVdISHJYMDMwZlhlaWYzMlBKNWNpSkUrcEZa | |
|
|
467 | c1V3ejhPTkJhc3ZCSVBUK2p5U3AKMnNZYjBzMTI0RmpqdkJWNTZpTVVRdS8vU0pLcWJid2hoN2dV | |
|
|
468 | MlFRQWVUUGhFc04ySmVtN2JQVkdWdjlOclNMWmVJOHQreFdUZXFhRQpQSkV4SDNudnJqd1o3VUhF | |
|
|
469 | NmdGK1F3VHJSZDVPT0FNNEY5bkZXMGxscUZIUHBQWGYxaXBOMTFDSVk2dEdXcTFQaTJGclFyYWdU | |
|
|
470 | UnFSCmQvbENKYW4vdGxacHVvWkNJV01ydE1HMk44VjJETVBmYWJQZmlRdU5wUDdiV3FYcEdncHhi | |
|
|
471 | QlhNSXVLYTJwZW9WWFZFdldvZ3RHZ2gKRDFHcjZvaDZSU0tSU0NRU2lVUWlrVWlrY1A0RGNJbU5W | |
|
|
472 | d2I2YnpNQUFBQUFTVVZPUks1Q1lJST0K | |
|
|
473 | </png> | |
|
|
474 | <latex>$$CNOT_{1,0} CNOT_{0,1} CNOT_{1,0}$$</latex> | |
|
|
475 | <prompt_number>10</prompt_number> | |
|
|
476 | </output> | |
|
|
477 | </outputs> | |
|
|
478 | </codecell> | |
|
|
479 | <codecell> | |
|
|
480 | <input>circuit_plot(SWAP10.decompose(), nqubits=2)</input> | |
|
|
481 | <language>python</language> | |
|
|
482 | <prompt_number>11</prompt_number> | |
|
|
483 | <collapsed>0</collapsed> | |
|
|
484 | <outputs> | |
|
|
485 | <output> | |
|
|
486 | <output_type>pyout</output_type> | |
|
|
487 | <text>&lt;sympy.physics.quantum.circuitplot.CircuitPlot object at 0x7f082c973650&gt;</text> | |
|
|
488 | <prompt_number>11</prompt_number> | |
|
|
489 | </output> | |
|
|
490 | <output> | |
|
|
491 | <output_type>display_data</output_type> | |
|
|
492 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5jQUFBQ09DQVlBQUFDaS9KMktBQUFBQkhOQ1NWUUlD | |
|
|
493 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUNybEpSRUZVZUp6dDNXdG9V | |
|
|
494 | L2NmeC9GUC9rNU1VN3ZXU3kvTzBWUkJXcEZONnh5dVExMTNZVk9xCmlBVzEwd2RqVHF3R0ZjY1FW | |
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|
495 | K2NGdGoxeGJHeXNVeXVsRjhXaVZrVXBvclcyVnFadTBMS3RtNjNWVGV2TWRKdXhyZGlzTmtyUzcv | |
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|
496 | K0IKSUhaTm9zbjZ6VEhKNXdWNWtuTU9mSC8rK2lZbkY5QWtJbDBBNGtCRUE4b2tJbUwwRUVTUjZI | |
|
|
497 | OUdEMEFVcVJnWGtSTEdSYVNFY1JFcApZVnhFU2hnWGtSTEdSYVNFY1JFcFlWeEVTaGdYa1JMR1Jh | |
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|
498 | U0VjUkVwWVZ4RVNoZ1hrUkxHUmFTRWNSRXBZVnhFU2hnWGtSTEdSYVNFCmNSRXBZVnhFU2hnWGtS | |
|
|
499 | TEdSYVNFY1JFcFlWeEVTaGdYa1JMR1JhU0VjUkVwZWNyb0FlaS9FeEY4OTkxM0tDOHZoOTF1aDh2 | |
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|
500 | bFFueDgKUExLeXN2RGVlKzhoS1NuSjZCR2pFbCs1d3BpSW9MeThISk1tVGNLU0pVdVFrWkdCOTk5 | |
|
|
501 | L0g5OSsreTNlZmZkZFhMNThHZW5wNlZpOAplREV1WExoZzlMalJSeWdzdWQxdVdiWnNtVXljT0ZG | |
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|
502 | cWEydWx0N2Yzd2JHSHQ3V3pzMU8yYk5raWlZbUpjdkxrU1NOR2pWcjgvN25DCmtJaGcxYXBWYUds | |
|
|
503 | cFFWVlZGZUxpK3Y3ZmhTYVRDZi9lMXZyNmVpeFlzQURIamgzRGxDbFRRamx1MU9KdFlSaXFycTdH | |
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|
504 | aVJNbmNQancKNFg1aCtmTHFxNitpcUtnSWVYbDU2TzN0Vlo2UWdDaU1xNnVyQytmT25ZUFQ2VFI2 | |
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|
505 | bEtCdDNib1ZCUVVGaUkrUEQraTYzTnhjSkNRawpvS2FtUm1reWZWZXZYc1hGaXhmN3ZUSS9rUXk5 | |
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|
506 | S1EyaDN0NWVXYjkrdlpqTlpvbUxpNU9ZbUJqWnRHbFRuL2NxNGFDdHJVMUdqaHdwCmQrN2M4WG1P | |
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|
507 | djIwdEtTbVIyYk5uYTR5bTZ2cjE2L0xDQ3k5SVRFeU14TWJHU21wcXF2end3dzlHaitWWDFNUzFl | |
|
|
508 | L2R1aVkyTkZRQVAKSHJHeHNWSlpXV24wYUFINTdMUFB4R2F6K1QzSFgxemQzZDFpc1ZqRTZYUU85 | |
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|
509 | R2lxSmsrZUxJTUdEZXF6ZjhPR0RaT2VuaDZqUi9NcAphbTRMQ3dzTDBkM2QzZWU1N3U1dWZQMzEx | |
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|
510 | d1pORkJ5SHd3R3IxUnIwOVJhTEJTTkdqRUJIUjhjQVRxWHJ5cFVyYUcxdGhjZmo2Zk84CngrUEI4 | |
|
|
511 | ZVBIRFpycTBYeCtXbWd5bVVJOUMxRkU4Zm5LSmZkdkdTUG1zV1hMRnNURXhQUlpvOFZpd1pkZmZt | |
|
|
512 | bjRiSUU4UHY3NFk2eGQKdTlidk9mNzJ6KzEyWStqUW9lanM3RFI4TFkvNzhIZzhHRDE2ZEwrLzBa | |
|
|
513 | aVlHSFIwZEJnK244OTlrQ2poY3JuazlkZGZmL0MrS3pZMgpWdDU2NnkyNWUvZXUwYU1GcExHeFVk | |
|
|
514 | TFMwc1R0ZHZzOEIzNjJ0YXFxU3FaT25hb3htcXFHaGdaSlNFaVF1TGc0QVNCbXMxbjI3dDFyCjlG | |
|
|
515 | aCtSVTFjSXZjL01XeG9hQkFBMHRqWWFQUTRRWHZ4eFJmbHlKRWpQby83aTJ2bXpKbXljK2RPamJI | |
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|
516 | VWRYZDN5OEdEQndXQXRMZTMKR3ozT0kwWGxMelM4L1lJaG5PemN1Uk9scGFXb3E2dkRVMC8xLysy | |
|
|
517 | MXIvWDkrT09QbURsekp1eDJPOHhtY3loR1ZSRXUreGMxbnhaRwpra1dMRm1ISWtDRll1WExsWS8v | |
|
|
518 | YTRzcVZLNWc3ZHk2MmJ0MGExbUdGRThZVmhnWVBIb3dEQnc2Z3Via1ppeFl0d28wYk4zeWVLeUtv | |
|
|
519 | CnJhM0Z0R25Uc0g3OWVzeWZQeitFazBZM3hoV21ubjc2YWRUVzFpSXBLUWtaR1JsNCsrMjNjZXJV | |
|
|
520 | S1RnY0RnRDNmeWEwYmRzMlBQZmMKYzFpMWFoV0tpb3F3WXNVS2c2ZU9MbnpQRlFGdTM3Nk5YYnQy | |
|
|
521 | b2F5c0RILzg4UWZhMjlzeGV2Um9aR1Zsd1dheklUczdPNksrdHd5WAovV05jRVlqcmV6THd0cEJJ | |
|
|
522 | Q2VNaVVzSzRpSlF3TGlJbGpJdElDZU1pVXNLNGlKUXdMaUlsakl0SUNlTWlVc0s0aUpRd0xpSWxq | |
|
|
523 | SXRJCkNlTWlVc0s0aUpRd0xpSWxqSXRJQ2VNaVVzSzRpSlF3TGlJbGpJdElDZU1pVXNLNGlKUXdM | |
|
|
524 | aUlsakl0SUNlTWlVc0s0aUpRd0xpSWwKakl0SUNlTWlVc0s0aUpRd0xpSWxqSXRJQ2VNaVVzSzRp | |
|
|
525 | SlF3TGlJbGpJdElTVlRFZGZmdVhlelpzd2ZaMmRsSVRrNEdBS1NrcE9DMQoxMTdEdm4zN2NPL2VQ | |
|
|
526 | WU1uSkgvc2RqczJiTmlBOVBSMEpDUWtBQURTMHRKZ3M5bHc3dHc1ZzZmekxhTGpFaEY4OGNVWHNG | |
|
|
527 | cXRLQzB0CnhlclZxOUhVMUFRQStPbW5uN0JpeFFyczJMRURWcXNWWDMzMUZVVEU0SW5wWVgvOTlS | |
|
|
528 | ZHljM09SbVprSnA5T0p2WHYzb3EydERRQlEKVTFPRGxKUVV6Sm8xQ3pObXpNRFBQLzlzOExSZVNJ | |
|
|
529 | VHllRHl5Wk1rU21USmxpclMydHZZNTl1OWx0N1MwU0dabXB1VG41NHZINHdubAptQ29pWVZ0Ly9m | |
|
|
530 | VlhzVnF0c25IalJ2bm5uMy82SEh0NGZmZnUzWk9Ta2hKSlRFeVV1cnE2VUkvcFYvanZnZzhmZlBD | |
|
|
531 | QlRKOCt2ZC9HCmlIai80K3ZxNnBLc3JDejU4TU1QUXpHZXFuQ1A2OGFOR3pKMjdGZ3BLaXJ5ZXR6 | |
|
|
532 | Yit1cnI2eVV4TVZHYW1wcTB4M3RzNGIwTFB2enkKeXk4eWF0UW82ZWpvOEhyYzF4L2Z6WnMzSlRr | |
|
|
533 | NXVkOHJYYmdKOTdoV3Jsd3BxMWV2OW5uYzEvcUtpNHRseG93WldtTUZMQ0xmYzIzYgp0ZzNMbHkv | |
|
|
534 | SDhPSERBN3B1NU1pUldMcDBLYlp2MzY0MG1TNlB4NE9hbWhvQWVQRGVKTnc0blU1VVZGUmc3ZHEx | |
|
|
535 | QVYvN3pqdnY0TGZmCmZrTnpjN1BDWkVFd3V1NkJkdnYyYlVsSVNKRHIxNi83UE1mZnNxOWV2U3JE | |
|
|
536 | aHcvM2VqdjVKUHZ6eno5bDdOaXhFaGNYSndERWJEYkwKdW5YcmpCNHJZTnUzYjVkNTgrYjVQY2Zm | |
|
|
537 | L20zYXRFbHNOdHRBanhXVWlIdmxPblBtRENaUG5veG5ubmttcU90VFUxTXhZY0lFZlAvOQo5d004 | |
|
|
538 | bWE3OC9Ielk3WFk0blU0QWdNdmxRbUZoSWM2ZVBXdndaSUdwcnE3R3dvVUxnNzQrTHk4UDFkWFZB | |
|
|
539 | emhSOENJdXJsdTNiajM0CkxpdFlTVWxKNk96c0hLQ0pRdVBZc1dOd3U5MTludXZwNmNIKy9mc05t | |
|
|
540 | aWc0LzNYL2twT1RuNWk5TTRsNC8zTEhaREtGZWhhaWlPTHoKbFV2dWY1SVlkbys2dWpwTW5UclY3 | |
|
|
541 | em1QV2w5bVppWk9uejV0K0ZvQ2VkaHNOcGpONWo1N2FMRlljT0hDQmNObkMrU3hjT0ZDbEpTVQpC | |
|
|
542 | TDEvRFEwTkdEOSt2T0hyRUpISXV5MmNObTBhN0hZN3pwOC9IOVQxVFUxTmFHOXZ4MHN2dlRUQWsr | |
|
|
543 | bjYvUFBQa1pPVGd5RkRobURvCjBLR0lqNDlIZVhrNTB0UFRqUjR0SVBQbnowZFpXVm5RMTVlVmxX | |
|
|
544 | SEJnZ1VET0ZId2ZONFdoclBObXplanM3TVRoWVdGWG8rYlRDYjQKV25aK2ZqNVNVMVB4MFVjZmFZ | |
|
|
545 | Nm94dUZ3d09Gd0lEMDlIWU1IRHpaNm5JQzUzVzZrcGFYaDZOR2plUDc1NTcyZTQydi91cnE2a0ph | |
|
|
546 | VwpodWJtNXFBLzBCcElFUm5YdFd2WE1ISGlSSnc5ZXhZWkdSbjlqdnZhbkphV0ZreWZQaDNuejU5 | |
|
|
547 | SFNrcEtLRVlsTHo3NTVCTTBOamJpCjBLRkRHRFJvVUwvanZ2YXZvS0FBbHk5ZlJtVmxaU2pHZkRT | |
|
|
548 | SlVLV2xwVEptekJocGEydnJkOHpic2k5ZHVpUldxMVYyNzk0ZGl2SEkKRDVmTEphKzg4b29zWDc1 | |
|
|
549 | YzNHNTN2K1BlOXUrYmI3NlJNV1BHeU45Ly94MktFUjlMeE1ZbGN2OGZmTlNvVVZKUlVTRXVsK3ZC | |
|
|
550 | OHc5dgpUazlQait6YXRVdFNVbEpreDQ0ZFJveEpYdHk2ZFV1eXM3Tmw5dXpaL1g0ditQRCsvZjc3 | |
|
|
551 | NzJLejJXVGN1SEZ5NmRLbFVJL3BWMFRICkpTSlNXMXNyYjd6eGhpUWxKVWxCUVlGVVZWVUpBS21x | |
|
|
552 | cXBKMTY5WkpZbUtpdlBubW0xSmZYMi8wcVBRdkxwZExQdjMwVTNuMjJXZmwKNVpkZmx1TGlZamwr | |
|
|
553 | L0xnQWtJcUtDcGt6WjQ2TUdERkMxcXhaSXpkdjNqUjYzSDRpOGoyWE54Y3ZYa1J4Y1RGYVcxdHg5 | |
|
|
554 | T2hSNU9UawpZUHo0OFZpMmJCbkdqUnRuOUhqa2g5dnR4cEVqUjFCWldRbUh3NEc2dWpyazV1WWlK | |
|
|
555 | eWNIZVhsNXNGZ3NSby9vVmRURVJSUnFFZmM5CkY5R1RnbkVSS1dGY1JFb1lGNUVTeGtXa2hIRVJL | |
|
|
556 | V0ZjUkVvWUY1RVN4a1draEhFUktXRmNSRW9ZRjVFU3hrV2toSEVSS1dGY1JFb1kKRjVFU3hrV2to | |
|
|
557 | SEVSS1dGY1JFb1lGNUVTeGtXa2hIRVJLV0ZjUkVvWUY1RVN4a1draEhFUktXRmNSRW9ZRjVFU3hr | |
|
|
558 | V2toSEVSS1dGYwpSRW9ZRjVFU3hrV2toSEVSS1dGY1JFb1lGNUVTeGtXazVQOENrR2JYaWgwNml3 | |
|
|
559 | QUFBQUJKUlU1RXJrSmdnZz09Cg== | |
|
|
560 | </png> | |
|
|
561 | </output> | |
|
|
562 | </outputs> | |
|
|
563 | </codecell> | |
|
|
564 | <markdowncell> | |
|
|
565 | <source><h2>All together now</h2></source> | |
|
|
566 | </markdowncell> | |
|
|
567 | <codecell> | |
|
|
568 | <input>gates = [CGate(1,Y(0)), CGate(0,Z(1)), SWAP(1, 0)]</input> | |
|
|
569 | <language>python</language> | |
|
|
570 | <prompt_number>12</prompt_number> | |
|
|
571 | <collapsed>1</collapsed> | |
|
|
572 | <outputs /> | |
|
|
573 | </codecell> | |
|
|
574 | <codecell> | |
|
|
575 | <input>for g in gates: | |
|
|
576 | dg = g.decompose() | |
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|
577 | display(Eq(g, dg)) | |
|
|
578 | circuit_plot(g, nqubits=2) | |
|
|
579 | circuit_plot(dg, nqubits=2) </input> | |
|
|
580 | <language>python</language> | |
|
|
581 | <prompt_number>16</prompt_number> | |
|
|
582 | <collapsed>0</collapsed> | |
|
|
583 | <outputs> | |
|
|
584 | <output> | |
|
|
585 | <output_type>display_data</output_type> | |
|
|
586 | <text>C βY β = S β CNOT β S β Z | |
|
|
587 | 1β 0β 0 1,0 0 0</text> | |
|
|
588 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5NQUFBQWNDQVlBQUFEN3VZcTRBQUFBQkhOQ1NWUUlD | |
|
|
589 | QWdJZkFoa2lBQUFDQzlKUkVGVQplSnp0bkhtc0ZkVWR4ei8zdmVjVFJCRnhBVGRjb0tMR0Jka2lv | |
|
|
590 | czgxaWhhSk5rWU1Td1hYaWx1ck5aUmFVdmNGMTZqRUpSVTFiS1pvCkxKcFd4QzVVQlJWY1VJdTdn | |
|
|
591 | bHFyYUlOMXhZcjQvT043Sm5mZXVYTm16cDE3N3NXVytTU1R4NTF6NWpmbmZ1Y3N2OS92ekFVS0Nn | |
|
|
592 | b2EKd2k3QWVjQWNZQ0V3SDVnRjdBU1VnSHVBbmpuc25nZThETFNiNDUvQWxJUjZvNEh2VEowdmdi | |
|
|
593 | dHozS3ZlOUFkdUFtWUM5NXUvV3dHagpnTk55Mk11aitWemdPYVRURjBBM3E3d3I4QXl3eHRUNUFE | |
|
|
594 | Zzc0ZDVEZ0JuQWJHQ2F1ZmVkd0xaV3ZVdU5uYStBSjRGNXdEdm0zRXB6CjNhUEFTK2Jjbi95K2V0 | |
|
|
595 | V0UwbjRTNWI3NEtkSnFuamtlcDZ4WlM1NUdOZ08vQXY0RlRBQitGQ3ZiSGxnQTNBVzhXb1hOYnNC | |
|
|
596 | UHJYTnoKVFVOSHBGejNCK0JhWUlPRXNuT0FwaXJhRUpwaHdGS2dkK3pjdHNCZmdmOEN1MVpocTFi | |
|
|
597 | Tmh3SXZJajEvN3FoemxUbHNOZ0wrQ1B3RgoyQzUydm9RRzlpZkFRYkh6cndQalRKc2pvZ0UyekxK | |
|
|
598 | OUdYQzdvejIxRUZMN3A0RmxRRC9yZkRQd0VKcklCK1pwWkM4MDI2eElhVkIvCkpOd3RuamE3QXRP | |
|
|
599 | QlRhM3p4eGs3TXh6WGpVTVAwOFhCd0kyZWJRaE5QMkExMHN2bU5MVGEraEpDODBsQUcvQVo3Z0Yz | |
|
|
600 | SzNvV2NUb0IKZndhbTRwNlk1Z0p2bWJvRGdHc1M2dndkZGVMTzF2bERnUE1kZHZNU1V2c2VTSytO | |
|
|
601 | RXNxbUFtdEpuK3lkdEtCUnVoellPcVB1U3VCWQpUN3QzVVRucVFRL25VK1NhZExISzJ0QVNuc1Uw | |
|
|
602 | dEVJMW1pbkFJa2ZaRU9TTytSQks4M3ZSWUppS0J0MGhDWFZtV3A5YjBZcTBoT1NWClArSk1ZM01r | |
|
|
603 | V3RuNldPVWJvczY5TU9IYWtjRFJLYmJ6RUVwN2dKT0FVeFBPL3hKOTU5eDk2d3BqWUl4SDNTZW85 | |
|
|
604 | TTJUNkllV1NoZlQKekQxSHg4NzFScDNEeDBmdGptWVdlMGFzTjB0dys5Rjc0VCtiaGRDOEdjVTVB | |
|
|
605 | SHNZZTNPc09qMkE2Nnh6YzFCTXVsdkdmWTh3Tmk5SApuYyttelpSZm1WQjJLQjFkeHhDRTBoNmsr | |
|
|
606 | NGJXdWVPUUxybTlubjNRa3JZTXZ6aGtwS2ZkMmNEd2xQTEQ2QmlrZGdNZXdHK2dSbHdHCmpLK2lm | |
|
|
607 | Z2h1Uk8xK0hoaExaWkR1UXlqTkJ3QVRZNThmUjhtRytFcDNQSEJNN1BNQnFQMS84N2p2QkZQM0Jr | |
|
|
608 | ZjViMHo1a1I2MlFoQkMKZXhkRDBDcjdBRFhFNHhlaUJpWXRlWGxwQWY1TnBaOGVwd2tGM1d1QWJk | |
|
|
609 | RGc2NTFTUDRreHlGVktZekFLV0tzNTdrMnh0eFB3TE9VcwpVTHU1NXFncTJoMUs4MStnVGhBeHl0 | |
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|
610 | aWRIRHQzTTdCNTdQTjlwczZKSHZadk1YVlBjSlRQQjc0bC9UbUhKSVQyU2ZRQlBnWVdreHhECmVm | |
|
|
611 | T3dhZFNBR2hzVVp5andna2U5NjgyOWx5R1hvVm9Hb29lWkszVlpBeTFvSU44RHZJZSt3emRveGZF | |
|
|
612 | aGxPWXo2Qmp6dEFJZkFlOVMKenJqTnRxNVphZTd0TTNFdE5YVjNTQ2hyQVQ1SDZlUkdVcXYyTmxz | |
|
|
613 | QWI2RFl0VWV0alZ1RlhBNmYyR01YVDV0ajhkdGpHSUhFK0xXbgpYWnROelBVNzVydytCTTNBMVpS | |
|
|
614 | akN4OUNhRjRpZVFXOTByVGxHTFFpeGJPQWtWN2ZrcDU0QU1VODdXZ2xTR0t3S2I4K3cwNDl5YU45 | |
|
|
615 | Cm5FNG9lYktLeW16cWdjREdQa2JpUHVFN3dIK1F2NWpHbHZqSEp6Mk56U3o2bTc5NU4vYytSd0Zw | |
|
|
616 | MHN3Wm12MVF2R0d6RnUyMVJCdWoKUG9UUWZIZTBBVzV6T3dxaXowRHRmU0pXOWhYUzdFczBvTks0 | |
|
|
617 | QUtXOFhlNWc1RWs4bG1FbkJDRzFqeWloYlp1QktGTnFieXVjajNUSwpKTzRXTFVDYmZiMlFlK0Rp | |
|
|
618 | TENxekhMMVF1dEwycVZ2eGM3M2FVS2Q2TWFGc2E3VENmWVptalNrb3hyTDVndlFaWkJEYVo2bUcx | |
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|
619 | K2lZClpRU2xlVjJEdmpPYTZhT09tOVgyQmVUWFBLS041STY4QXUzZ0g0a0d3ODlpWld2UnZ0YmhT | |
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|
620 | SmZGRHRzL1FabThpY0EvVXU3ZmpwSWUKYWJqNlNKd3N2VUpxSHpFRlplL0dvTDJ5T0lPQUR5a1BV | |
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|
621 | RitiN0F0OGpYYmhYWnh1am9ndUtKTXpBM2d6b2Y2cFpNZE1HNkNaMHBVKwpuMHQ1OTMxZmtoTU5y | |
|
|
622 | V2hXR3BSeHJ4QThqZnUxcGt2UVd3UWw4em1yN1hrMHQ3a2J1U2xKREVjZEllblpuR1RLTG5aY2V5 | |
|
|
623 | aGFNVy9BCm5kVnFRcTdSU3ludHkrb2pjYkwwQ3FrOWxMT1VreFBLT2dHUEFEK3VvbjBkR0lZNjl0 | |
|
|
624 | bDA5T1A3b3MwNlY3YmtNSktGT3NyWUt5V1UKUlVRcDJva0paWDNSdzRxQzZCSUtuUGV5NnUxdWJJ | |
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|
625 | VGV6N0RwaW1iNWw5R3NIYTJFSlpSUmV6N1dCdCsyNTlVY1lFK2t1eXZ1YVVJcgoxRFJIK2NYQSsw | |
|
|
626 | aS9pTTJBazFFZ25yYWxBZXBZN2NCdEdmWEEzVWNpc3ZRS3JmMXc1T0xhMnJRaVhSY2lieWVhcURK | |
|
|
627 | dDJpN1lQQlJ3CmpVVHB6dFVvRm5rRCtlRExFMlZ3ODZScDNBN29vY1laaTl5WGFEZDlBbklweHFO | |
|
|
628 | WUFyU1Vya1J1Q1pSZk9OeUhqaTVoWCtCdHFudU4KSkEvN29aM3hPMUdnT3duRkhtdlFSdUlRdE5K | |
|
|
629 | VTAvWThtdThJUElnR1FUUHdDcHI5N1VURWQ4aTFmZC94Zlg2TFhObHowY2JsR2pRdwpGNXZ2K29G | |
|
|
630 | RGc0dFFKNHN5WjZQUXh1L1hLTGI2MEhHL05MTDBDcWw5ZDZSVk03QTM4SlNwMXgzWW1mS0FtVk9G | |
|
|
631 | emNSNFpvazVRdkFKCldncjdVam1ZcHBzampTM1FyQjFuTlpYditPMkswc3oxSm5xVEdEUWJwdUhi | |
|
|
632 | ZHFoZTh4VlVybkF1cnM0b24yVU9YeGFoV0NzMFdYcUYKMUg0Vm5obTZLbXcyNUkzck8xQ0FsNGZs | |
|
|
633 | VkdabnVpQXhJcHBRYXYxM09lOVJMM3phWGxBbXBGNzEwRDdUWmlNRzAzUzBLWGxnam11ZgpRMm5o | |
|
|
634 | T0Qzb21QazZDN2xFUzNPMXJuNzR0TDJnVEVpOTZxRjl3NTVuVm5BNUFMa3g5Z3VGUHJ4SytiYzlr | |
|
|
635 | WDhhVFFLOVVDWnBteHgyCkcwRmEyOWMzWEgxa0lIS2hJS3hlOWRDK3JzK3poQklIOXlOL2NqTHUx | |
|
|
636 | NEgySnpsamw4VWd0THFOUXo4dkdCd3JtNHJlMC9xaGt0YjIKOVlXc1BqSWYrTDM1ZDBpOTZxRjkz | |
|
|
637 | WjluVCt0SWU5a3h6OHFVZG0wdDlockovMG83NjBWYUgybEJuVE5PU0wzcW9mMzYvandMZnFBMApB | |
|
|
638 | YWVzNjBZVUZQdy9jRHo2VDFBS0NncHFwTkUvbXlrb0tDZ29LQ2dvS0Nnb0tDaFlCM3dQaGh0a2J0 | |
|
|
639 | QVNBTWNBQUFBQVNVVk9SSzVDCllJST0K | |
|
|
640 | </png> | |
|
|
641 | <latex>$$C_{1}{\left(Y_{0}\right)} = S_{0} CNOT_{1,0} S_{0} Z_{0}$$</latex> | |
|
|
642 | </output> | |
|
|
643 | <output> | |
|
|
644 | <output_type>display_data</output_type> | |
|
|
645 | <text>C βZ β = H β CNOT β H | |
|
|
646 | 0β 1β 1 0,1 1</text> | |
|
|
647 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU1rQUFBQWNDQVlBQUFETE5adVpBQUFBQkhOQ1NWUUlD | |
|
|
648 | QWdJZkFoa2lBQUFCMjFKUkVGVQplSnp0bTJsc0ZWVVVnRDlvS2F1VktpQWxJcHNXaUlRZ0FnR3Fv | |
|
|
649 | WUNJVmdPaXNzUUlOa1JFUlNVYVVBU0ZvR0ZKd0lCSUlxTFNZSldtCjFrUVNnWXFWUlJaWmxCSndR | |
|
|
650 | MFZSUVJEYzZnb3Fpei9PbmI3M3BuZG03cnczVTBxWUwzay8zcHo3emwzT25YdlBPZmMraUlpSVNJ | |
|
|
651 | a2MKNEJHZ0ZOZ0t2QU9zQU5vQmRZRGxRTXNBNmhrSG5GR2ZQNERkd052cXMwNDlyd1F5QTZncmFF | |
|
|
652 | WWhZM01jYWVjaDliMjdrczhHUGlEVwp2MzFJbitvblVaY2ZlL1FETmdIZnEzcGYwdWk3QXppbzVD | |
|
|
653 | ZUJ2Y0JsdGpJTmdBbkFTbUFaVUFLc0JSNEM2c2FWU3dPT0VCdURjbUE5CmNFSTkyNFhZOHozZ21I | |
|
|
654 | bzJ4TzhBZUZDVHRpQU5tQUljQnU0SHJvaVR0UVkyQW9XcUVsT2FBbU1jWkt1QnI0RytHdGx5NEY5 | |
|
|
655 | Z29JdnUKaVQ3YUVSWmJnTCtCQ3pXeVJzQi93TTRrZGFkaWowTGdVOVcyTEkwOEF4bjdLeld5ZnNC | |
|
|
656 | M3dDVFZCb3RNWk5KdkpEYkJCcW42MjlsMApIRlA2NDErb0pzQTN3RldhT29NZ1RGc0FzcEpzUXpy | |
|
|
657 | UnlhRk1kK1JOWEd5b014TW93cm5SQnh4a00xVTlCUjc2YndabUdiWWxEQm9nCksyYTVnM3dRMG8r | |
|
|
658 | bms5Q2RxajFLZ1h1VS9HR052Q0g2WGFZUE1zRjdPOVRaR3BsczA5WDNGMGg4ZVFFNnEzcGYxUHkr | |
|
|
659 | Qkdqc29Ec1YKd3JRRkFPbkFEbVRTWm51VVBRb01NOVJiQ0hSemtBMEJIdGM4TDBBNjg1UmhIU1hB | |
|
|
660 | V01PeVFaT0h0SFdxZzN5MmtsL25VMitxOW1nRAp6RWNtNDIvQTU0aGJGazkvNEc3YnMrNkllM3Vm | |
|
|
661 | UjUwZkFiK3FkaFpyNU9PUmZvL1d5RjcxMEowc2VZUmppMm9LN2pRb3V3VnhvYnpvCkJyemxJcitO | |
|
|
662 | NnJ2SVFNVEZLakxRYjlFU2NTdnErZmhOVUV4SHhxMlBnL3g5cEQ5K1Y4NVU3VEdhbU4rL1dPbXl1 | |
|
|
663 | NjB6a0ZqSElnZjQKQ2RoZ1VPZWJTbWRyOUpOdWhaSzMwY2dLRFBRblExaTJBTVEvUEFWOFFxTC82 | |
|
|
664 | TVJJUTczRmlEdGtTaGRrRmR1QStNdCtXQWdNOS9tYgpJRmdIL0ltc3FIWWFJMjdKTnA4Nmc3REhF | |
|
|
665 | bUp4U0JkazhyeGhLN1BDOXYwMVZjN0V2bnRWMlk0TzhvUEF0d1o2Z2lSd1c4UXJ5a2VNCnNSQTRi | |
|
|
666 | ZkRiRWtQOWc1QnQxNFJzWUEyU0pia1ZlZVA5c0ErNEYvSERuYmdXZU02bjNyMDRKeDNxSVg3N2NX | |
|
|
667 | Q1ZSdDRNR1lkTlB1c00Kd2g0WEllNFF3TWZBWm1BbzBBcEpBbVNRT01iWnlDSlRpV1N6M0VoRGRw | |
|
|
668 | MUs0QXVOdkQxd0tmNjhnVlFKeXhaVmxDR3J3dFhKS3RDUQpDK3d4TE5zRXFFQjhhM3VHeEpROFpC | |
|
|
669 | V3BTZm9pNC9ha2c5eHltZko5NmszVkhwY0FpMnpQUmltZFZyQ2RDendRSngrbTVFNUJieng5ClZO | |
|
|
670 | a3lCM21Ca3R2am5UQUp5eFpWL0lKczd3ME55dVo0RndIRUoxNWpVQzVObGZzTDZHbVQ5VUFNYmtJ | |
|
|
671 | Mk1nak5ETXNId1JSVlozOEgKK1Naa1hQMmU4YVJxaitIQTdiWm5HY2dpZEFnWjg2bEExemo1WktR | |
|
|
672 | dlN3M3FMRlZseHpuSWx5bTU2VndKZ3JCc1VjVnU0R2VEY3MyQgpPWVk2SjFQZDU5V3hCR244VUky | |
|
|
673 | c0ZFbnJtZkk3d2U2R1hwUWhMa3NqalN3RDJmcDNKYUUzVlhzc0FscG9ubHVyNlRERU52SFpyakZL | |
|
|
674 | Ck5zK2p6ZzZJdmQ2bGVyYk1Zai9pTnRja1lkbWlpZ1hJQU5sUFhPM01KSEZsejBYZTRFbFVUN3RO | |
|
|
675 | QTE3MzBQZVlxbGQzSU5pQnhFQ3oKSHJKQ3RYZlJkeGc1QkhNaUYvalE1NmZRUVZjYWtscmQ3aUMz | |
|
|
676 | WEpJRkRuSzMvaVJyRHd1bm1MRXRNc0hYSTBGNlBPMVVuUlV1OWFVagpoNytWU0ZaTFJ5dWx4OHYy | |
|
|
677 | Ym5QSGpwZnR3N1JGRmIyUlE1Z3BMbVhHa3hpRU4wZUNaZXMwZGlGeWJjSmlITzR4eVVna0tIMVdJ | |
|
|
678 | MHRICkRIMlgrajRXT1RNNWlmT2hXaVl5RUoxZDZneVNIcXErK1E1eXkzMjVSU1B6Nms4eTlyRElB | |
|
|
679 | cDUzK2QwcTFhNUpHdGxPSld1bGtkVUIKWGtGMkNDZVhCbUt4endTWE1sNXpKeDRUMjRkcGl3UnVR | |
|
|
680 | STd6SHlUUkYrNEl6S1Y2d0RPRFJQOTFBSEpXWVpHdjlPbTI1R3VRU2JDUwp4QlJudW1wb21XcjB4 | |
|
|
681 | YmJmblhEcFNDOWtJRXpPYjRKZ0dqSFhSVWM1M2pHU1czLzgyc05pSHU0bnlqZXBkdlhTeUpvaG1i | |
|
|
682 | QWlFcytjCnVpSlhoTmFpZCtQaUtWYjZuUTZRd1h2dTZIQWJxN0J0a1VCUDVHM2NqRnlnV3c0OGdU | |
|
|
683 | N2pWSXgwMXFLVGFvaDFueWNMbWVodGJiL0wKUUE2c3ppQTd6WGIxK1F6eEthMExhT3Q5ZG1RMDV0 | |
|
|
684 | bTBWSmlEK0xiVzViMnZrTEdxanl3SXE1R0padldqQXYxdUNkNkc4V09QaWNRdQpHZjZESEp4ZG9D | |
|
|
685 | bFhWN1ZmZDVZQTRyNU5SOXpNbDVFWDVoa2tablNLUVdZaE1jb2VZdjMrVWoyYnJTbnZOWGQwNk1h | |
|
|
686 | cUptMlJGT1hJCk5tYlJSalVrZnFYWkNnd09zRTYzanN4Q1Z0aHppVkFNY3c1Z01uZnNoRDFXV3Yw | |
|
|
687 | bUo3bHVIRUE2WnRHWTJMVjJpNlZVVDBXR1FUcHcKSXhKOFJkUitUT1pPclNEVmw2U0N4RGUvSmZB | |
|
|
688 | RGlhZTRSVWhLMWkzakZBU1BJaTZiN3ZRM292WmhNbmRxQmFtK0pEdEp6SElNcG5wVwo1VFNTNVpw | |
|
|
689 | UGtuOXVNU0FIR0VIc0pEbWk5dU0yZDlKSjRaWnUwS1I1RjNIbENKSXR1Qjc1MDA0TEpFaXpyd1pI | |
|
|
690 | a0tCOEJCS2pKRU0rCmN0VWhEN25DMHBSWWtENFgrYy9FMFNSMW53M2Mrbk0rNERaM0xrZHVOZTlB | |
|
|
691 | L3JBVjlsaTU2bmZLVlBpbERwSXU5Tm9xNnlOWmwyVEkKSW5Fbk9nWDhHSURlczRWYmY4NG5uT1pP | |
|
|
692 | SnJLN2xCTCtXRVcyaURnbkdZRHNLR2VkVkdPU2lJZ3dxSXZjbXRoL3Roc1NFVkdiY1RybwpqSWlJ | |
|
|
693 | aUlpSWlJaUlpSWlJT0svNEgyR1pJUFRKVVRpYkFBQUFBRWxGVGtTdVFtQ0MK | |
|
|
694 | </png> | |
|
|
695 | <latex>$$C_{0}{\left(Z_{1}\right)} = H_{1} CNOT_{0,1} H_{1}$$</latex> | |
|
|
696 | </output> | |
|
|
697 | <output> | |
|
|
698 | <output_type>display_data</output_type> | |
|
|
699 | <text>SWAP = CNOT β CNOT β CNOT | |
|
|
700 | 1,0 1,0 0,1 1,0</text> | |
|
|
701 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVVZQUFBQWNDQVlBQUFBZHRSYlZBQUFBQkhOQ1NWUUlD | |
|
|
702 | QWdJZkFoa2lBQUFDTVZKUkVGVQplSnp0bkhtUUZjVWR4ejhybDRBdUlJcEdUVUFwU3dJSjVSbE5Q | |
|
|
703 | RERlNGxWR3E2S0ZRU0pSUzBRdGcwbU1XbW9PUWp6S1JCQkZRVW5FCkk1U2F5NFFqRUxNQ0doUzB2 | |
|
|
704 | TkR5S1BFSUtzR05paGVzbU0wZjM1NjhtWjZlbVg2N0QvY2QvYWw2TmU5MTkvVHhuZDkwOS95NjUw | |
|
|
705 | RWcKRUFnRXZPa09YQURjQ2Z3TytDTXdIdWdMekFjV0F4dUJkbUFUc0J6WTJweDdDZkNhaVdzSG5n | |
|
|
706 | VEd4dkllQi96YnhIMEkvTUtqUG44QQp6c3lKN3dFc0JGNDIrYjRITEFJV0FFdUJWNEMvQUh0NmxG | |
|
|
707 | VXQ5QVpPQjZZRFMxRDdXb0JUVFB3UndBOWk2YWVoNjdBSitBd1k2Y2h6ClB2QXgwdWhkNEhwSG1t | |
|
|
708 | SEFMY0M5d0N4Z0hqQVgrR3BHUGM4dytXMEVWaUxObjZkMEhSYWJ1ajhPL0JkNE1hZk5uYUVXOUFw | |
|
|
709 | YTFaNVcKLzZjMzZrUXVCN2FJaGY4WWVBRjFsQUJYbTByT2N1UXgxTVRkbjFIRzE0Qi9BbHQ1MU9k | |
|
|
710 | YkpxOHJQTkllWjlKZWFJWDNBRzRGTmdDSApldVRUMWV5UHRKNEpIQUwwTk9GYkF0Y0J2MGFEeW9I | |
|
|
711 | V2Vkc0NUeUVOWm1Ua1BRNE5ORTFXK0JiQXplWjgyL0JQUUVZL2xqUUwwYlhwCkdRdUxqSHFpbyt5 | |
|
|
712 | L1o5U3JNOVNLWGtHcjJ0SXF3YjFJTkJkdkF0OHozeWVoU3Q3b1NEZmN4RDJRa2M5a1lKQkhYZm9D | |
|
|
713 | ejVxOGJ2SkkKSDNYV0l4eHhYelJ4ZDN2azA1Vk1CdHJRak4xRk4yQUY4QUhxOE9PY0JJd0JWcG40 | |
|
|
714 | clVuemZXQnZLNndKWGZQNTZBWnhjVFd3SHRneApGallRMll2TmJVanIzYTN3TDZFYnBKTFVpbDVC | |
|
|
715 | cTlyU0trRS9KTnlSR2ZFTGdWM005M0ZrZDR3elROd2pqcml2a0gxaGJINkpPdUoyCjRQY2U2WmNE | |
|
|
716 | cmFSSExKQ1k3Y0EvUE12dUNpYWdPcDVla0c0eThGZEgrUFhBenNENUpwOEpqalIzb0JzZ3psUmdE | |
|
|
717 | Wm9WWkhHWXlmUEsKV05oWndGR090QzhCYnp2Qzl3WXV5aW1qWEdwSnI2QlZOdFdtVllwalVRWFB5 | |
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|
718 | NGkvUFBiOUJOd2Q0K0ZvTnJrZVRkbHRwcE1lalZ4OApHWTBhUFpBUHdkWEp4dWtMZkFyOE9TTity | |
|
|
719 | S252ZUkreXU0SVI2SkdpeFNQdGVOeUdFSTJ5L1lDUGdHZXMrQ1pnamhYMk02VExpUVZsCkRpYnRI | |
|
|
720 | am1EcExzRk5PcTM0eDd4UndEN0ZwVGpTNjNwRmJUS3BwcTBjckl0Y3JCdVJQNkdBOG51eEE0ZzNU | |
|
|
721 | SDJRdjdKbnNCcVlKMTEKemtuQWFNKzZ6QU4yTmQ5YjBRSktIa2VZK3Z6UUVkY05PVzVYNDM0RXFB | |
|
|
722 | WldvUHJidmgwWCt3RkRyTEJta3Y3ZW1ZNzhScUxGc1lnZAowUlBDdjBpUDlEYUhtdnptRjZRNzFh | |
|
|
723 | UTd2eUJkWjZrSHZZSldvcHEwU3ZYSUFPK2dSUmJRckc4cFdtR2FEdlMzMHJZNnp2OFJXblZxCk0v | |
|
|
724 | RURLRDNXOWtJQ3pQT28yeGkwMmhSMWhtdUJIUXJPT2RnY2wxbmhPNkdSYUJXd0IvS1BWSkxSYU9X | |
|
|
725 | OW5NOTBLNC90Z1gyQXh4ejEKZC9FbzhLb1ZkZ0R3Y094MzVITTVOeFkyQ3ExQ1JreEFBOThjdE5x | |
|
|
726 | WXgvQlkyWGxFMStHaGduU2RvVjcwQ2xxSmF0R3FrR0hBVDFCRAoyMUJQZlorVlpoREpHZU5Ra28r | |
|
|
727 | eEMwMzhBUE43RW1tbnFZdG1KRkNmV05pREpxOStPZWN0UVJkZ0Z2Snh6Z0JtbTNZYzdsRnVWM0l5 | |
|
|
728 | CmFsOW5ITWhUMERXSXN4ek4vcmN6djM5TDhnbmdJVlB1c1I3NXp6VnBYYjZmT004Qy84SHQ1NjBV | |
|
|
729 | OWFKWDBFcFVpMVpsTVFKNEhmbnYKNHF0SzNVbDJqQStRWEEyKzI4UVBCYjZBT2lnZmJxQzBueXJp | |
|
|
730 | SHR5clVSRmJvcTA0S3p6THFEYXVJZCszRzJjN1NvTk5uTG1Pc0doNwpRL1NJYzQ4VnY4YkVEeWVm | |
|
|
731 | d2VqNnYwMitLMklnOGdkbitYa3JSVDNvRmJRUzFhUVZrSDZVdnNTWlNvK2dkNkZHeG52clRjRDc1 | |
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|
732 | dnNwCmFGUDNxbGo4TytZNEVDM2p1elo4MnV3Qm5JWldvaGZFUGw4MzhWbVAwL3VoUi9VV2p6S3Fr | |
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|
733 | ZGZNOFUyUHRKY2lRNHJUR3puWGJlYWkKVWZZY1pLRDJZdGhhYzN5ZmZDNUNBK0ZaNUxzaURrSTJz | |
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|
734 | aVFuVFNXb0I3MkNWcUthdEFLU0hlTldhTE5uRnMzQUU4QW5WbmdyNnVXdgpJTG1OSTRvRE9BYUpW | |
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|
735 | aVJRRStvOFJ3RkhXNTlwSmsxV3h4ajVIMW9LeXVnQjNFNXBVYWVJWWNqbk9oRzRGaG1KemRGb1oz | |
|
|
736 | NDVuNmxXCkhsRzlpOTdNR1k0V2tENjB3dmZIN1ovWkFQd0dPZE9ua0Rhc3BlWjRXRTZaK3lDam5V | |
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|
737 | MzJ2dFNJNkRwa0dYQ2w5Rzh4eDFyV3EwZ3IKOExPL2lDeHRXOHl4M3JVcXg3YThkVDBHelFCdFB3 | |
|
|
738 | TElsN2dXK0tZamJnWHlNN2oySlU1RXM4emx1QmQ2Yk1hVGZBMHB6cmR4djlFUwpzUmpWdnprbi96 | |
|
|
739 | T0JuNXAwd3p6cTB3MTREam12UWJQWTJ6M082d2hOU011blNmcFc0K3lPRExHWEkrNHF0TDNKeFc3 | |
|
|
740 | b01hU050QUVjCmpQUndQU3FCZEZxSC9NcytieW10UktOK2QwZGNKZld2QjczeXRJTHk3QzlQMjBi | |
|
|
741 | UXFoemJLdXUrdmhadG5yeVBwRTlnVjlTeFRjbzQKYjRFcHhGWGgwMUJuZGxCQlJVR3pydGZKWHRh | |
|
|
742 | UE5vQk9jY1ExbzMxVkt6M0tBWTEwUGpmbXlTVDNUZzVDTStZczQrb3NBNUFCUDRoVwowaVA2bzFY | |
|
|
743 | NktTUmZqNHJYNncxS1RuQVhpOGplQnpvR0dWMThaTytEMnY4Q3laWEhQQVlqdzF4Y2tLNVMrdGV5 | |
|
|
744 | WGo1YWRjVCtzclN0CmQ2MGlmR3lyTEYzbkFOdWdXZUVpSk9JQzlON2pOM0lLbVVuMld6S2pTRy80 | |
|
|
745 | dE5rTGRjanRsR2FYOFU2Mk4zcFRwZFhFcnplL1I1clAKVW5UaDJ0RUZXSVl1Umg2K04rWmxwRGVU | |
|
|
746 | YmlMOXlsTWw2UWRjRFB3SmJhKzRBejEydS9aKzlrTHZtMjlBN1YrRHRrdTVPQkg0ZVU2NQpSNkl0 | |
|
|
747 | UkxQUk5iMFREWWE3RmRSM0NLVS9JRmhINmFYL1pjRGYwUFcxcWFUK3RhVFhFTXJUcWlQMmw2ZHRQ | |
|
|
748 | V3NWNFdOYlhYRmYxd1MrCk4rYXYwQmFFT0I5UUczOUNVYzBFL2Yzb1NQdDl0YTFYZk5wZnFLdVAz | |
|
|
749 | NitSV1kxR3FqaDkwRXBjWVBQVDZQbzNldnMzRjRXNmhvNHgKbnlkSS9nUFFJT1RJZnFOcnF0TndO | |
|
|
750 | THIramQ3K3pVWFFOUVBYZEhza3liL1RBcTJVdlVYSktmc2RzbGZZQXY0RS9mM0lhNzlMTHdpUAow | |
|
|
751 | ajYyVldoWFJTOTIxeHVqMFYrbEhZTEU2WS8rT0JPMFQvSlVrb3RGYldnVU9SdTl1Yk12ZW52bnZj | |
|
|
752 | K2x0dlZIMEw4ODh0cHY2NVduCmJTTlFqbTAxdWwybEdJQTJpRWVmK0JhRWJzQjNjODUxN2U4S2xF | |
|
|
753 | ZlF2K1BZN2JmMXl0TzJFZWlvYlRudEttdXpaTDN5Yms3Y1orVHIKc2JIQ2RXbEVndjRkeDI2L3JW | |
|
|
754 | ZWV0bzFBUjIycjBlMnFrT1BSUnRKQTF4RDBMNCtnbHo5QnEwN1FhTFBuYWlQb1h4NUJMMytDVm9G | |
|
|
755 | QQpJQkFJQkFLQlFDQVFDQVFDZ1VEZ2MrVi9xazJaZlg2Uys5WUFBQUFBU1VWT1JLNUNZSUk9Cg== | |
|
|
756 | </png> | |
|
|
757 | <latex>$$SWAP_{1,0} = CNOT_{1,0} CNOT_{0,1} CNOT_{1,0}$$</latex> | |
|
|
758 | </output> | |
|
|
759 | <output> | |
|
|
760 | <output_type>display_data</output_type> | |
|
|
761 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUo4QUFBQ09DQVlBQUFBdmtkcmVBQUFBQkhOQ1NWUUlD | |
|
|
762 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUJFSkpSRUZVZUp6dDNiMUxJ | |
|
|
763 | MXNBaHZGM2todkJ4SXVhUW0xc2JRU3hFUEVUc1JNRXNSRUxDOEZHCnJOTUlGbmFDTmxZV1ZoYlJ5 | |
|
|
764 | azcvQTIzOHJBU3hFd3ZGbEVZaUdORFpRdHg3Wlc4Vzc2N3VhMmFlSDB5VHhNT1o4REJubklGTUVJ | |
|
|
765 | WmgKVWRMZkF2NndJQXpEMEQwSnhGUENQUUhFRi9IQmh2aGdRM3l3SVQ3WUVCOXNpQTgyeEFjYjRv | |
|
|
766 | TU44Y0dHK0dCRGZMQWhQdGdRSDJ5SQpEemJFQnh2aWd3M3h3WWI0WUVOOHNDRSsyQkFmYklnUE5z | |
|
|
767 | UUhHK0tERGZIQmh2aGdRM3l3SVQ3WUVCOXNpQTgyeEFjYjRvTk43T0lyCkZvczZPenZUL2YyOWV5 | |
|
|
768 | cXhGNXY0d2pEVXdzS0NtcHViMWQvZnIrYm1aaTB1TG9wZkJmYUp6Vzh5YjIxdGFYWjJWcVZTNmZ0 | |
|
|
769 | cm1VeEcKR3hzYm1waVlNTTRzdm1JVFgwOVBqdzRQRDM5NGZXQmdRUHY3KzRZWm9XSjhRUkQ4NmJr | |
|
|
770 | Z1ppcWU4NFZoR0tsdGVYbFp0YlcxYi9ZeApuVTVyZFhYVlByZTRickZaZGg4Zkh6VTZPcXFEZ3dP | |
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|
771 | VlNpVmxNaGtOREF4b1oyZEhOVFUxN3VuRlVtemlrMTZPNWljbkorcnU3dGJ4CjhiRzZ1cnJjVTRx | |
|
|
772 | MVdNWDNLZ2dDeFhDM3Y1ellYT2ZEMTBOOHNDRSsyQkFmYklnUE5zUUhHK0tERGZIQmh2aGdRM3l3 | |
|
|
773 | SVQ3WUVCOXMKaUE4MnhBY2I0b01OOGNHRytHQkRmTEFoUHRnUUgyeUlEemJFQnh2aWd3M3h3WWI0 | |
|
|
774 | WUVOOHNDRSsyQkFmYklnUE5zUUhHK0tERGZIQgpodmhnUTN5d0lUN1lFQjlzaUE4MnhBY2I0b01O | |
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|
775 | OGNFbU12RmxzMWtGUWZDdVRkSzdQNXZOWnMxN0ZsMlJlUUxSWnoxVmlLY1ZmWjdJCkhQbFFmU0la | |
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|
776 | MytucHFmcjcrMVZUVTZORUlxRzZ1am9ORHcvcjRlSGh6ZWNLaFlLeTJhd1NpWVNTeWFRNk96dDFl | |
|
|
777 | M3RybW5VTWhSSHgKWDd1U3orZkRJQWpDNmVucGluK1h6K2ZEM3Q3ZThQcjYrdDNqNG1ORStwenY0 | |
|
|
778 | ZUZCVFUxTlNxVlNLaFFLUHp4WDkvTHlVdlB6ODlyYwozRlFxbFhyM3VQZ1lrVngyWDZYVGFZMlBq | |
|
|
779 | K3Z1N2s2N3U3dHYzaXNXaThybGNscGZYNjhZSGo1WHBPT1RwS21wS1VuUzF0Ylc5OWVlCm5wNDBO | |
|
|
780 | emVubFpVVk5UUTB1S1lXZTVGZWRxV1gwRnBhV25SL2Y2OUNvYUQ2K25ybGNqbU5qWTFwYUdqb2w4 | |
|
|
781 | ZkY3NHY4a1MrWlRHcHkKY2xMbGNsbmIyOXRhVzF0VGUzdjd1OExENTRwOGZOSS9TKy9TMHBKdWJt | |
|
|
782 | NDBNek5qbmhHa255eTdyN2VocWttbDVmSDUrVm5wZEZvZApIUjA2T2pyNlgyTlc0L2RRTGY2cTlF | |
|
|
783 | YTFuZWY4TEpMejgzT1Z5MldOakl6ODB0alY5bDFVaTFnc3UzdDdlNUxFZWQ0WEU1djRVcW1VCit2 | |
|
|
784 | cjYzRlBCdjhUaVVrdHJhNnRhVzF0MWVIajRZZVBpOTBYMnlIZDFkYVdob1NHMXRiV3BVQ2pvNHVK | |
|
|
785 | Q2c0T0RieTQyd3l2eVI3NnYKT2k0aWZPVEQxMGQ4c0NFKzJCQWZiQ3JlNGFoR24zRXJyTEd4OGNQ | |
|
|
786 | SHhJdkl4TWQvcE5XSFpSYzJ4QWNiNG9NTjhjR0crR0JEZkxBaApQdGdRSDJ5SUR6YkVCeHZpZ3cz | |
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|
787 | eHdZYjRZRU44c0NFKzJCQWZiSWdQTnNRSEcrS0REZkhCaHZoZ1EzeXdJVDdZRUI5c2lBODJ4QWNi | |
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|
788 | CjRvTU44Y0dHK0dCRGZMQWhQdGdRSDJ5SUR6YkVCNXR2WUJZc3hJKzRoTXdBQUFBQVNVVk9SSzVD | |
|
|
789 | WUlJPQo= | |
|
|
790 | </png> | |
|
|
791 | </output> | |
|
|
792 | <output> | |
|
|
793 | <output_type>display_data</output_type> | |
|
|
794 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVE4QUFBQ09DQVlBQUFBdnRJMzNBQUFBQkhOQ1NWUUlD | |
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|
795 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUNUNUpSRUZVZUp6dDNFdElW | |
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|
796 | SDhZeHZIMzJEQ2psZUNGTGhob0dCUkJFR0ZFRUZtTFNNelNMTHU0CmtHaFRVRkl0dWkyc0lJcWlG | |
|
|
797 | a0VVRmFVdXdxZzJicnFIMVNLNi9CZWhkTEVMMnQwd0tteTZwL2IrZDVIbHFQTjY5TXlNM3cvTTVw | |
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|
798 | d3oKUDU3ZmVlTnBqb002cWhvVWtVUUJnREE0cXFwZWh3QVFmZUs4RGdBZ09sRWVBRXdvRHdBbWxB | |
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|
799 | Y0FFOG9EZ0FubEFjQ0U4Z0JnUW5rQQpNS0U4QUpoUUhnQk1LQThBSnBRSEFCUEtBNEFKNVFIQWhQ | |
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|
800 | SUFZRUo1QURDaFBBQ1lVQjRBVENnUEFDYVVCd0FUeWdPQUNlVUJ3SVR5CkFHQkNlUUF3b1R3QW1G | |
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|
801 | QWVBRXdvRHdBbWxBY0FFOG9EZ0FubEFjQ0U4Z0JnUW5rQU1LRThBSmhRSG9ncXo1OC9sMGVQSG9t | |
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|
802 | cWVoMWwKd0tNOEVCV2FtcHBrOHVUSk1uNzhlTW5LeXBMUm8wZkxuVHQzdkk0MW9EbEtoU01LWkdW | |
|
|
803 | bFNWMWRuYlMzdC84K2xweWNMRTFOVFJJZgpIKzloc29HTFR4NkllRStmUHBYNit2b094U0VpMHQ3 | |
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|
804 | ZUxoY3ZYdlFvRlVKKzhuQWNwNyt6QUlnaXZsQW5lSnBCcFBqMTY1ZWtwNmZMCjY5ZXZPeHhQU0Vp | |
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|
805 | UVY2OWVTVXBLaWtmSkJqWWVXeER4NHVMaXBMcTZXcEtTa2lReE1WRkVST0xqNDZXeXNwTGk4QkEv | |
|
|
806 | TUVYVStQcjEKcTF5NGNFRVdMbHdvNzk2OWs5VFVWSzhqRFdpVUI2S080emc4VmtjQUhsc0FtRkFl | |
|
|
807 | QUV3b0R3QW1sQWNBRThvRGdBbmxBY0NFOGdCZwpRbmtBTUtFOEFKaFFIZ0JNS0E4QUpwUUhBQlBL | |
|
|
808 | QTRBSjVRSEFoUElBWUVKNUFEQ2hQQUNZVUI0QVRDZ1BBQ2FVQndBVHlnT0FDZVVCCndJVHlBR0JD | |
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|
809 | ZVFBd29Ud0FtRkFlQUV3b0R3QW1sQWNBRThvRGdBbmxBY0NFOGdCZ1Fua0FNS0U4QUpoUUhnQk1L | |
|
|
810 | QThBSnBRSEFCUEsKQTRBSjVRSEFoUElBWUVKNUFEQ0pxZkpJU1VrUngzRmNmYVdrcEhpOXJRN2Mz | |
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|
811 | R09rN1MzV3hkcnNIRlZWcjBPNHhYRWNjWHM3ZmJGbQpiN2laSjlMMjFsUGtqb3g3RUZPZlBCQ2JY | |
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|
812 | cng0SVdWbFpUSnUzRGhKU2tvU0VaSFJvMGZMcWxXcjVPN2R1eDZuRzdnR1JIbThmZnRXCi9INi94 | |
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|
813 | TVhGaWQvdmw3Rmp4OHJzMmJNbE56ZFhjbk56SlRVMVZlTGk0cVM2dXRycnFMM1MxdFltKy9mdmw1 | |
|
|
814 | S1NFaWt1THBiQ3drS3AKcUtpUUwxKyt5THg1ODd5T0Y3WTNiOTdJZ2dVTFpOS2tTZkxwMHljNWVm | |
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|
815 | S2tORFkyaW9qSXBVdVhaT1RJa1pLYm15dloyZGxTVjFmbgpjZHJlaTdyNWFRd0p0WjJLaWdvTkJB | |
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|
816 | SzZmLzkrYld0cjYzQ3V1cnBhQncwYXBHdlhyZzFyVGErRXl2UDE2MWZOeTh2VG5UdDNkamkrCmE5 | |
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|
817 | Y3VIVHQyckJZWEYvZDRyVWp3K1BGanpjakkwQzFidHVqbno1ODduUHN6OTgrZlA3Vzh2RnlIRFJ1 | |
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|
818 | bU5UVTEvUjB6TEYzZDczRG4KRndtejh6NkJpMExkMElVTEYrclpzMmYvT1g3cjFpMU5TRWpRK2ZQ | |
|
|
819 | bmg3Mm1WMExsS1NvcTBoVXJWblI2TGkwdFRjdkx5M3U4bHRlYQptNXMxTXpOVER4OCszT241em5K | |
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|
820 | ZnZYcFZodzBicHJXMXRYMGR6NnlyK3gzdS9DSmhkdDRuY0ZGbk4vVEhqeDg2YytiTWY0NDNORFRv | |
|
|
821 | CjhPSERkY3FVS2ZydDI3ZXcxdlJTWjNsYVdsclU3L2ZyNWN1WE8zMVBUazZPUG52MnJFZHJSWUxT | |
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|
822 | MGxKZHMyWk55UE9oY2g4OWVsU3oKczdQN0tsYXZoY3B0bVY4a3pDN21mK2JSM053c1pXVmxIWTU5 | |
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|
823 | K1BCQjVzeVpJME9HREpFelo4NUlmSHk4UituY2NmMzZkV2x0YlpYSApqeDkzZW43NjlPbVNrWkhS | |
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|
824 | ejZsc1BuMzZKRlZWVmJKaHc0YXczN3RzMlRKNTh1U0ozTHQzcncrUzlaMm9uWi9YN2VXbW5tem4r | |
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|
825 | L2Z2Ck9uMzZkRTFKU2RINitucFgxdXhQbmVWNTkrNmQrbncrRFFRQ3VuNzllcjErL2JxMnRyYWEx | |
|
|
826 | dkxhb1VPSHRMQ3dzTXRydXNxOWRldFcKWGJWcWxkdXhYQkVxdDJWK2tUQTc3eE80cUxzYit1dlhM | |
|
|
827 | eTB1THRaQUlLQlhyMTUxWmMzK0ZpclAzcjE3TlJBSXFPTTQ2amlPRGhreQpSRmV2WHEwdExTMWhy | |
|
|
828 | K1dsZ29JQ1BYbnlaSmZYZEpYN3dZTUhtcG1aNlhZc1YzU1ZPOXo1UmNMc3ZFL2dvdTV1Nk9iTm05 | |
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|
829 | VnhIRDErCi9MaHJhL2EzcnZJOGZQaFF0MjNicHRuWjJlcjMrOVZ4SEMwcUtqS3Q1WlhzN094dWk3 | |
|
|
830 | MnIzTy9mdjlla3BDU1hVN21qdS9zZHp2d2kKWVhZaEU0aElWTDVDT1hMa2lEcU9vOXUzYis5dy9O | |
|
|
831 | dTNiM3JseXBYUU55Z0M5dFRUUGY3cC92MzdtcDZlcm42L1gzLzgrQkUxZTR2MQpWMDkxTnordjl5 | |
|
|
832 | RWlBK09UeC9uejU5WG44K255NWN2L09WZGVYcTdWMWRWaHIrbVZ2L1BzM3IwNzVMV2JOMjlXdjkr | |
|
|
833 | djM3OS83OUZhCmtXREpraVdkZnEzOHA2NXkvL2ZmZnpwKy9IaTNZN21pczl6VytVWEM3R0wrMjVi | |
|
|
834 | YTJscFp2SGl4ekp3NVU0NGVQZnJQK2NyS1NzbkoKeWZFZ1dlOTkvdnhacmwyN0Z2SjhNQmlVckt3 | |
|
|
835 | c0NRUUMvUmVxbHhZdFdpU1ZsWlhtOTFkV1Zzcml4WXRkVE5SM29uNStYcmVYbS83ZQp6c3VYTHpV | |
|
|
836 | dExVMG5USmlnd1dEd24rdXJxcW8wUHo4L3JEVzk5bWVlYytmT3FjL24wNGFHaG4rdWEyNXUxaEVq | |
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|
837 | UnVpMWE5ZDZ0RmFrCmFHMXQxVkdqUm1sZFhWM0lhMExsL3ZqeG95WW5KK3ZyMTYvN0tsNnYvSjI3 | |
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838 | Ti9PTGhObkY3Q2VQWURBb2MrYk1FVldWczJmUFNtSmkKNHU5elRVMU5zbnYzYmlrcEtaR0NnZ0lQ | |
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851 | QW1GQWVBRXdvRHdBbWxBY0FFOG9EZ0FubEFjQ0U4Z0JnUW5rQU1LRThBSmo4RHdBb24zcHVmNG1n | |
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852 | QUFBQQpBRWxGVGtTdVFtQ0MK | |
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853 | </png> | |
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854 | </output> | |
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855 | <output> | |
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856 | <output_type>display_data</output_type> | |
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857 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUo4QUFBQ09DQVlBQUFBdmtkcmVBQUFBQkhOQ1NWUUlD | |
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858 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUJJUkpSRUZVZUp6dDNURkls | |
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860 | UkRVNmVCd01FUVVQVVFhYWdrVXhIQm9TRHlROEJCK0RWSmhvbi9MczQ4K3ovc0Z6L0ljL1BnKyt1 | |
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863 | QWZiSWdQTnNRSEcrS0REZkhCSmxieFpUSVpSVkZVMWkyVHliZ1BLN1ppCjliOWFvaWhTdVEvbk90 | |
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879 | Vkowc2JHaG5rYUpDYStvNk1qZFhaMjZzR0RCNUtrOXZaMmRYVjFxVlFxbVNkTHJzVEVOejQrCnJ0 | |
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880 | WFZWUjBlSGtxU0RnOFB0Ynk4ck1uSlNmTmt5UldyOSsxZXBLV2xSUjgrZkRpei84NmRPOXJjM0RS | |
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885 | aUE4MnhBY2I0b01OOGNHRytHQkQKZkxBaFB0Z1FIMnlJRHpiRUJ4dmlndzN4d1liNFlFTjhzQ0Ur | |
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886 | MkJBZmJMNERCMXZyL0lRTUZPQUFBQUFBU1VWT1JLNUNZSUk9Cg== | |
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887 | </png> | |
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|
888 | </output> | |
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|
889 | <output> | |
|
|
890 | <output_type>display_data</output_type> | |
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891 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5jQUFBQ09DQVlBQUFDaS9KMktBQUFBQkhOQ1NWUUlD | |
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894 | N1hLb1hiWklvSlNORFFzb3pBRE45R21ORnRVUXdiMm9WYk9YTS9xaWQ3WEdkUEp5ek56NXY4RE45 | |
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896 | Z0xNRUpjZ0JIaUFvd1FGMkNFdUFBagp4QVVZSVM3QUNIRUJSb2dMTUVKY2dCSGlBb3dRRjJDRXVB | |
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897 | QWp4QVVZSVM3QUNIRUJSb2dMTUVKY2dCSGlBb3dRRjJDRXVBQWp4QVVZCjhVUmNCUVVGNGppTzJW | |
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898 | dEJRWUhidCtocFh0MC9UL3hiOFk3amlPVnRXRjgvMjNsMS8vNVo5TjhSQzA1VjVmSGp4eEtKUkdS | |
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899 | MGRGU20KcHFZa1B6OWZLaW9xNU9USms3SisvWHEzUjh4S25qZ1daaXRWbFVna0ltVmxaWExpeEFr | |
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900 | cExpNldzMmZQU2w5Zm54dy9mbHhldlhvbAp3V0JRamgwN0ppOWZ2blI3M095akhqRGJiZFRWMVds | |
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902 | bWZIMjNURTlQYTJOam81YVdsdXI5Ky9jMUhvLy9XdnQ5M2srZlB1bWxTNWMwRUFob1QwK1BHNlAr | |
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903 | a1ZmM0wvMCsKYTFMd3B3L2VreWRQMUhFY1BYUG1UTUwxaXhjdnF1TTRldlBtelpTdXY5amk4Ymcy | |
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907 | bjE3eXRkZmJMVzEKdGRyVzFwWjBQZG04OFhoY2QrellvUjBkSFVhVHBjYXIrK2Y1WjY1NFBDNzkv | |
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908 | ZjFTWGw0dXk1Y3ZuN0UrTURBZ0V4TVRVbGxaNmNKMAo4emM4UEN4UG56NlYrdnI2ZVQvV2NSd0po | |
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909 | OFBTMHRKaU1KbU5UTjQvejhjMU5EUWs0K1BqVWwxZG5YQzl0N2RYUkVTcXFxb1djYXJVCjNicDFT | |
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910 | NDRjT1pMd0UyMHVHaG9hcEtlblI3NSsvYnJBazluSTVQM3ovTSs1L2p1dmQzVjF5Yk5uejJhc0R3 | |
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912 | U1JqSHBMcHE2dVRuTnljdlRidDI4ejFxYW5wOVh2OTJ0SgpTY21zWjJlMzd5MGIzcnk0ZjBtZnVU | |
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914 | Y3YwdHpjblBUWHpQWnluMWdzSnF0WHI1YlIwVkZaczJhTjFaano0dFg5OC9TZnVWNjhlQ0ZqWTJP | |
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915 | eWUvZnVoT3VQSGowU2tmUTgKcnllemI5OCthVzl2bDFnc2x0TGo3OTI3SnlVbEpXa1QxbXd5ZmY4 | |
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920 | Q2YrZUovYlBsYVFYMk8rMzhlYk5HNjJzck5STm16YXB6K2ZUcFV1WAphaWdVMGl0WHJxaXE2cDA3 | |
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922 | L1BHCjQzSHQ3dTdXRFJzMmFHdHI2MktQT1NkZTNULytzbVFhWEQ5VlUxTlRjdTdjT2JseDQ0YnMz | |
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924 | a3FENi8rdDhmRnh1WDc5dXJTMXRjbmJ0Mi9sNDhlUFVsUlVKQlVWRlJJTwpoNlc2dWpycHQ3dlRn | |
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926 | Tlg5NDlqCklXQ0V1QUFqeEFVWUlTN0FDSEVCUm9nTE1FSmNnQkhpQW93UUYyQ0V1QUFqeEFVWUlT | |
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927 | N0FDSEVCUm9nTE1FSmNnQkhpQW93UUYyQ0UKdUFBanhBVVlJUzdBQ0hFQlJvZ0xNRUpjZ0JIaUFv | |
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928 | d1FGMkNFdUFBanhBVVlJUzdBQ0hFQlJvZ0xNRUpjZ0JIaUFvd1FGMkNFdUFBagp4QVVZSVM3QUNI | |
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929 | RUJSb2dMTUVKY2dCSGk4cEJZTENaZFhWMGlJdkw2OVd1WHB3RnhlY1M3ZCs5azY5YXRjdmp3WVJF | |
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930 | UktTa3BrZlBuCno3czhWWFp6VkZYZEhnSi83K0RCZzlMUjBTSFQwOU8vM3VmMys2V3JxMHRDb1pD | |
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931 | TGsyVXZucms4NHYvREVoR1puSnlVOXZaMmx5WkMKMG1jdXgzRVdleGJBVS81SnRzQnBNYk0wTlRY | |
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932 | SnRXdlhaR3BxNnRmNy9INi9QSC8rWElMQm9JdVRaUytPaFI1eCtmSmxxYTJ0bGR6YwpYTW5MeTVQ | |
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935 | Q3pCQ1hJQVI0Z0tNRUJkZ2hMZ0FJOFFGR0NFdXdBaHgKQVVhSUN6QkNYSUFSNGdLTUVCZGdoTGdB | |
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936 | SThRRkdDRXV3QWh4QVVhSUN6QkNYSUFSNGdLTUVCZGdoTGdBSThRRkdDRXV3QWh4QVVhSQpDekJD | |
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937 | WElBUjRnS00vQXZuK01DMi9PUDM1Z0FBQUFCSlJVNUVya0pnZ2c9PQo= | |
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938 | </png> | |
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|
939 | </output> | |
|
|
940 | <output> | |
|
|
941 | <output_type>display_data</output_type> | |
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|
942 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUo4QUFBQ09DQVlBQUFBdmtkcmVBQUFBQkhOQ1NWUUlD | |
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943 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUF6eEpSRUZVZUp6dDNURk9L | |
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948 | ZE1NZkZ0TnB1MGJmdnBXdHUyZVhsNWdTWlNFVCtMMjNWZDZyck9ZRERJCmREcE5yOWRMMjdZWmo4 | |
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949 | ZlpicmVaeldiMGlFVXE0dVNycWlvUER3OVpyOWU1dnI3T3g4ZEh4dU54bXFiSi9mMDlQVjZ4aWpq | |
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950 | NTluYTcKWGVxNnp0dmJXNDZQajdOWUxOTHY5K214aXZWbGZGVlZmZmNzS3N5ZnJ6NzRiUWZpZnNk | |
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951 | cm1pYXIxU3FqMFNqRDRmQ3dBK3I3RlhIWAp1NjdMWkRKSjB6U1p6K2RKa3VWeW1mVjZuWnViRzNp | |
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952 | NmNoVVJYMVZWdWJ5OHpIdytQK3g0UjBkSFdTNlh1Ymk0Z0tjclYxRXZISHRWClZmMjZ0ZUovVk1U | |
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953 | SnA1L0orSVF4UG1HTVR4ampFOGI0aERFK1lZeFBHT01UeHZpRU1UNWhqRThZNHhQRytJUXhQbUdN | |
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954 | VHhqakU4YjQKaERFK1lZeFBHT01UeHZpRU1UNWhqRThZNHhQRytJUXhQbUdNVHhqakU4YjRoREUr | |
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955 | WVl4UEdPTVR4dmlFTVQ1aGpFOFk0eFBHK0lReApQbUdNVHhqakU4YjRoREUrWVl4UEdPTVR4dmlF | |
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956 | TVQ1aGlvbnY4ZkV4Nysvdm42N3RkcnM4UFQxQkU2bUkrTHF1eTJLeHlOWFYxU0hBCjNXNlh1cTd6 | |
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957 | L1B3TVQxZXVZdjVwdkczYmpNZmpORTJUMVdxVjBXaVU0WENZNlhTYVhxK0k3K0NQVTh4ZDcvVjZ1 | |
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958 | YnU3eThuSlNaTGsKL1B6YzhHQmZubnhWVlgzM0xDck1uNjgrK0cxUDQvMk9OeHdPYzN0N204bGtr | |
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959 | cVpwTXAvUDArLzM2ZkdLVk1UTzEzVmQ2cnJPWURBNApQR3IzTytCMnU4MXNOcU5ITEZJUjhTWEpa | |
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960 | clBKNmVucHB4MnZiZHU4dnI3bTdPd01uS3hjeGNTbm44ZFhQV0dNVHhqakU4YjRoREUrCllZeFBH | |
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961 | T01UeHZpRU1UNWhqRThZNHhQRytJUXhQbUdNVHhqakU4YjRoREUrWVl4UEdPTVR4dmlFTVQ1aGpF | |
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962 | OFk0eFBHK0lReFBtR00KVHhqakU4YjRoREUrWVl4UEdPTVR4dmlFTVQ1aGpFOFk0eFBHK0lReFBt | |
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963 | R01UeGpqRThiNGhERStZWXhQbUg4TUV0VnhWRm41VGdBQQpBQUJKUlU1RXJrSmdnZz09Cg== | |
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|
964 | </png> | |
|
|
965 | </output> | |
|
|
966 | <output> | |
|
|
967 | <output_type>display_data</output_type> | |
|
|
968 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5jQUFBQ09DQVlBQUFDaS9KMktBQUFBQkhOQ1NWUUlD | |
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987 | ZVBIRFpycTBYeCtXbWd5bVVJOUMxRkU4Zm5LSmZkdkdTUG1zV1hMRnNURXhQUlpvOFZpd1pkZmZt | |
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988 | bjRiSUU4UHY3NFk2eGQKdTlidk9mNzJ6KzEyWStqUW9lanM3RFI4TFkvNzhIZzhHRDE2ZEwrLzBa | |
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989 | aVlHSFIwZEJnK244OTlrQ2poY3JuazlkZGZmL0MrS3pZMgpWdDU2NnkyNWUvZXUwYU1GcExHeFVk | |
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991 | aCtSVTFjSXZjL01XeG9hQkFBMHRqWWFQUTRRWHZ4eFJmbHlKRWpQby83aTJ2bXpKbXljK2RPamJI | |
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992 | VWRYZDN5OEdEQndXQXRMZTMKR3ozT0kwWGxMelM4L1lJaG5PemN1Uk9scGFXb3E2dkRVMC8xLysy | |
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993 | MXIvWDkrT09QbURsekp1eDJPOHhtY3loR1ZSRXUreGMxbnhaRwpra1dMRm1ISWtDRll1WExsWS8v | |
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994 | YTRzcVZLNWc3ZHk2MmJ0MGExbUdGRThZVmhnWVBIb3dEQnc2Z3Via1ppeFl0d28wYk4zeWVLeUtv | |
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996 | S1RnY0RnRDNmeWEwYmRzMlBQZmMKYzFpMWFoV0tpb3F3WXNVS2c2ZU9MbnpQRlFGdTM3Nk5YYnQy | |
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997 | b2F5c0RILzg4UWZhMjlzeGV2Um9aR1Zsd1dheklUczdPNksrdHd5WAovV05jRVlqcmV6THd0cEJJ | |
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998 | Q2VNaVVzSzRpSlF3TGlJbGpJdElDZU1pVXNLNGlKUXdMaUlsakl0SUNlTWlVc0s0aUpRd0xpSWxq | |
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999 | SXRJCkNlTWlVc0s0aUpRd0xpSWxqSXRJQ2VNaVVzSzRpSlF3TGlJbGpJdElDZU1pVXNLNGlKUXdM | |
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1000 | aUlsakl0SUNlTWlVc0s0aUpRd0xpSWwKakl0SUNlTWlVc0s0aUpRd0xpSWxqSXRJQ2VNaVVzSzRp | |
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1001 | SlF3TGlJbGpJdElTVlRFZGZmdVhlelpzd2ZaMmRsSVRrNEdBS1NrcE9DMQoxMTdEdm4zN2NPL2VQ | |
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1002 | WU1uSkgvc2RqczJiTmlBOVBSMEpDUWtBQURTMHRKZ3M5bHc3dHc1ZzZmekxhTGpFaEY4OGNVWHNG | |
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1004 | ZHljM09SbVprSnA5T0p2WHYzb3EydERRQlEKVTFPRGxKUVV6Sm8xQ3pObXpNRFBQLzlzOExSZVNJ | |
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1005 | VHllRHl5Wk1rU21USmxpclMydHZZNTl1OWx0N1MwU0dabXB1VG41NHZINHdubAptQ29pWVZ0Ly9m | |
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1006 | VlhzVnF0c25IalJ2bm5uMy82SEh0NGZmZnUzWk9Ta2hKSlRFeVV1cnE2VUkvcFYvanZnZzhmZlBD | |
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1007 | QlRKOCt2ZC9HCmlIai80K3ZxNnBLc3JDejU4TU1QUXpHZXFuQ1A2OGFOR3pKMjdGZ3BLaXJ5ZXR6 | |
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1008 | Yit1cnI2eVV4TVZHYW1wcTB4M3RzNGIwTFB2enkKeXk4eWF0UW82ZWpvOEhyYzF4L2Z6WnMzSlRr | |
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1009 | NXVkOHJYYmdKOTdoV3Jsd3BxMWV2OW5uYzEvcUtpNHRseG93WldtTUZMQ0xmYzIzYgp0ZzNMbHkv | |
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1010 | SDhPSERBN3B1NU1pUldMcDBLYlp2MzY0MG1TNlB4NE9hbWhvQWVQRGVKTnc0blU1VVZGUmc3ZHEx | |
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1011 | QVYvN3pqdnY0TGZmCmZrTnpjN1BDWkVFd3V1NkJkdnYyYlVsSVNKRHIxNi83UE1mZnNxOWV2U3JE | |
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1012 | aHcvM2VqdjVKUHZ6eno5bDdOaXhFaGNYSndERWJEYkwKdW5YcmpCNHJZTnUzYjVkNTgrYjVQY2Zm | |
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1013 | L20zYXRFbHNOdHRBanhXVWlIdmxPblBtRENaUG5veG5ubmttcU90VFUxTXhZY0lFZlAvOQo5d004 | |
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1014 | bWE3OC9Ielk3WFk0blU0QWdNdmxRbUZoSWM2ZVBXdndaSUdwcnE3R3dvVUxnNzQrTHk4UDFkWFZB | |
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1015 | emhSOENJdXJsdTNiajM0CkxpdFlTVWxKNk96c0hLQ0pRdVBZc1dOd3U5MTludXZwNmNIKy9mc05t | |
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1016 | aWc0LzNYL2twT1RuNWk5TTRsNC8zTEhaREtGZWhhaWlPTHoKbFV2dWY1SVlkbys2dWpwTW5UclY3 | |
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1017 | em1QV2w5bVppWk9uejV0K0ZvQ2VkaHNOcGpONWo1N2FMRlljT0hDQmNObkMrU3hjT0ZDbEpTVQpC | |
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1018 | TDEvRFEwTkdEOSt2T0hyRUpISXV5MmNObTBhN0hZN3pwOC9IOVQxVFUxTmFHOXZ4MHN2dlRUQWsr | |
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1019 | bjYvUFBQa1pPVGd5RkRobURvCjBLR0lqNDlIZVhrNTB0UFRqUjR0SVBQbnowZFpXVm5RMTVlVmxX | |
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1020 | SEJnZ1VET0ZId2ZONFdoclBObXplanM3TVRoWVdGWG8rYlRDYjQKV25aK2ZqNVNVMVB4MFVjZmFZ | |
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1021 | Nm94dUZ3d09Gd0lEMDlIWU1IRHpaNm5JQzUzVzZrcGFYaDZOR2plUDc1NTcyZTQydi91cnE2a0ph | |
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1022 | VwpodWJtNXFBLzBCcElFUm5YdFd2WE1ISGlSSnc5ZXhZWkdSbjlqdnZhbkphV0ZreWZQaDNuejU5 | |
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1023 | SFNrcEtLRVlsTHo3NTVCTTBOamJpCjBLRkRHRFJvVUwvanZ2YXZvS0FBbHk5ZlJtVmxaU2pHZkRT | |
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1024 | SlVLV2xwVEptekJocGEydnJkOHpic2k5ZHVpUldxMVYyNzk0ZGl2SEkKRDVmTEphKzg4b29zWDc1 | |
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1025 | YzNHNTN2K1BlOXUrYmI3NlJNV1BHeU45Ly94MktFUjlMeE1ZbGN2OGZmTlNvVVZKUlVTRXVsK3ZC | |
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1026 | OHc5dgpUazlQait6YXRVdFNVbEpreDQ0ZFJveEpYdHk2ZFV1eXM3Tmw5dXpaL1g0ditQRCsvZjc3 | |
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1027 | NzJLejJXVGN1SEZ5NmRLbFVJL3BWMFRICkpTSlNXMXNyYjd6eGhpUWxKVWxCUVlGVVZWVUpBS21x | |
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1028 | cXBKMTY5WkpZbUtpdlBubW0xSmZYMi8wcVBRdkxwZExQdjMwVTNuMjJXZmwKNVpkZmx1TGlZamwr | |
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1029 | L0xnQWtJcUtDcGt6WjQ2TUdERkMxcXhaSXpkdjNqUjYzSDRpOGoyWE54Y3ZYa1J4Y1RGYVcxdHg5 | |
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|
1030 | T2hSNU9UawpZUHo0OFZpMmJCbkdqUnRuOUhqa2g5dnR4cEVqUjFCWldRbUh3NEc2dWpyazV1WWlK | |
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|
1031 | eWNIZVhsNXNGZ3NSby9vVmRURVJSUnFFZmM5CkY5R1RnbkVSS1dGY1JFb1lGNUVTeGtXa2hIRVJL | |
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|
1032 | V0ZjUkVvWUY1RVN4a1draEhFUktXRmNSRW9ZRjVFU3hrV2toSEVSS1dGY1JFb1kKRjVFU3hrV2to | |
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|
1033 | SEVSS1dGY1JFb1lGNUVTeGtXa2hIRVJLV0ZjUkVvWUY1RVN4a1draEhFUktXRmNSRW9ZRjVFU3hr | |
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|
1034 | V2toSEVSS1dGYwpSRW9ZRjVFU3hrV2toSEVSS1dGY1JFb1lGNUVTeGtXazVQOENrR2JYaWgwNml3 | |
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|
1035 | QUFBQUJKUlU1RXJrSmdnZz09Cg== | |
|
|
1036 | </png> | |
|
|
1037 | </output> | |
|
|
1038 | </outputs> | |
|
|
1039 | </codecell> | |
|
|
1040 | </cells> | |
|
|
1041 | </worksheet> | |
|
|
1042 | </worksheets> | |
|
|
1043 | </notebook> | |
|
|
1 | { | |
|
|
2 | "nbformat": 2, | |
|
|
3 | "name": "decompose", | |
|
|
4 | "worksheets": [ | |
|
|
5 | { | |
|
|
6 | "cells": [ | |
|
|
7 | { | |
|
|
8 | "source": "<h1>Gate Decomposition</h1>", | |
|
|
9 | "cell_type": "markdown" | |
|
|
10 | }, | |
|
|
11 | { | |
|
|
12 | "cell_type": "code", | |
|
|
13 | "language": "python", | |
|
|
14 | "outputs": [], | |
|
|
15 | "collapsed": true, | |
|
|
16 | "prompt_number": 1, | |
|
|
17 | "input": "%load_ext sympyprinting" | |
|
|
18 | }, | |
|
|
19 | { | |
|
|
20 | "cell_type": "code", | |
|
|
21 | "language": "python", | |
|
|
22 | "outputs": [], | |
|
|
23 | "collapsed": true, | |
|
|
24 | "prompt_number": 2, | |
|
|
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>Example 1</h2>", | |
|
|
29 | "cell_type": "markdown" | |
|
|
30 | }, | |
|
|
31 | { | |
|
|
32 | "source": "Create a symbolic controlled-Y gate", | |
|
|
33 | "cell_type": "markdown" | |
|
|
34 | }, | |
|
|
35 | { | |
|
|
36 | "cell_type": "code", | |
|
|
37 | "language": "python", | |
|
|
38 | "outputs": [ | |
|
|
39 | { | |
|
|
40 | "output_type": "pyout", | |
|
|
41 | "latex": "$$C_{1}{\\left(Y_{0}\\right)}$$", | |
|
|
42 | "prompt_number": 3, | |
|
|
43 | "png": "iVBORw0KGgoAAAANSUhEUgAAADcAAAAYCAYAAABeIWWlAAAABHNCSVQICAgIfAhkiAAAAxZJREFU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\nSUVORK5CYII=\n", | |
|
|
44 | "text": "C \u239bY \u239e\n 1\u239d 0\u23a0" | |
|
|
45 | } | |
|
|
46 | ], | |
|
|
47 | "collapsed": false, | |
|
|
48 | "prompt_number": 3, | |
|
|
49 | "input": "CY10 = CGate(1, Y(0)); CY10\n" | |
|
|
50 | }, | |
|
|
51 | { | |
|
|
52 | "source": "Decompose it into elementary gates and plot it", | |
|
|
53 | "cell_type": "markdown" | |
|
|
54 | }, | |
|
|
55 | { | |
|
|
56 | "cell_type": "code", | |
|
|
57 | "language": "python", | |
|
|
58 | "outputs": [ | |
|
|
59 | { | |
|
|
60 | "output_type": "pyout", | |
|
|
61 | "latex": "$$S_{0} CNOT_{1,0} S_{0} Z_{0}$$", | |
|
|
62 | "prompt_number": 4, | |
|
|
63 | "png": "iVBORw0KGgoAAAANSUhEUgAAAIgAAAAcCAYAAAC6TfcHAAAABHNCSVQICAgIfAhkiAAABglJREFU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\nwL9xjqSsQYpqzQAAAABJRU5ErkJggg==\n", | |
|
|
64 | "text": "S \u22c5CNOT \u22c5S \u22c5Z \n 0 1,0 0 0" | |
|
|
65 | } | |
|
|
66 | ], | |
|
|
67 | "collapsed": false, | |
|
|
68 | "prompt_number": 4, | |
|
|
69 | "input": "CY10.decompose()\n" | |
|
|
70 | }, | |
|
|
71 | { | |
|
|
72 | "cell_type": "code", | |
|
|
73 | "language": "python", | |
|
|
74 | "outputs": [ | |
|
|
75 | { | |
|
|
76 | "output_type": "pyout", | |
|
|
77 | "prompt_number": 5, | |
|
|
78 | "text": "<sympy.physics.quantum.circuitplot.CircuitPlot object at 0x2c85f10>" | |
|
|
79 | }, | |
|
|
80 | { | |
|
|
81 | "output_type": "display_data", | |
|
|
82 | "png": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAACOCAYAAAAvtI33AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n" | |
|
|
83 | } | |
|
|
84 | ], | |
|
|
85 | "collapsed": false, | |
|
|
86 | "prompt_number": 5, | |
|
|
87 | "input": "circuit_plot(CY10.decompose(), nqubits=2)" | |
|
|
88 | }, | |
|
|
89 | { | |
|
|
90 | "source": "<h2>Example 2</h2>", | |
|
|
91 | "cell_type": "markdown" | |
|
|
92 | }, | |
|
|
93 | { | |
|
|
94 | "source": "Create a controlled-Z gate", | |
|
|
95 | "cell_type": "markdown" | |
|
|
96 | }, | |
|
|
97 | { | |
|
|
98 | "cell_type": "code", | |
|
|
99 | "language": "python", | |
|
|
100 | "outputs": [ | |
|
|
101 | { | |
|
|
102 | "output_type": "pyout", | |
|
|
103 | "latex": "$$C_{0}{\\left(Z_{1}\\right)}$$", | |
|
|
104 | "prompt_number": 6, | |
|
|
105 | "png": "iVBORw0KGgoAAAANSUhEUgAAADkAAAAYCAYAAABA6FUWAAAABHNCSVQICAgIfAhkiAAAA1JJREFU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\nAAAASUVORK5CYII=\n", | |
|
|
106 | "text": "C \u239bZ \u239e\n 0\u239d 1\u23a0" | |
|
|
107 | } | |
|
|
108 | ], | |
|
|
109 | "collapsed": false, | |
|
|
110 | "prompt_number": 6, | |
|
|
111 | "input": "CZ01 = CGate(0, Z(1)); CZ01\n" | |
|
|
112 | }, | |
|
|
113 | { | |
|
|
114 | "source": "Decompose and plot it", | |
|
|
115 | "cell_type": "markdown" | |
|
|
116 | }, | |
|
|
117 | { | |
|
|
118 | "cell_type": "code", | |
|
|
119 | "language": "python", | |
|
|
120 | "outputs": [ | |
|
|
121 | { | |
|
|
122 | "output_type": "pyout", | |
|
|
123 | "latex": "$$H_{1} CNOT_{0,1} H_{1}$$", | |
|
|
124 | "prompt_number": 7, | |
|
|
125 | "png": "iVBORw0KGgoAAAANSUhEUgAAAHwAAAAcCAYAAACj6tvkAAAABHNCSVQICAgIfAhkiAAABWZJREFU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\nlJSUlJSUlG7Mf20dXidP7IWnAAAAAElFTkSuQmCC\n", | |
|
|
126 | "text": "H \u22c5CNOT \u22c5H \n 1 0,1 1" | |
|
|
127 | } | |
|
|
128 | ], | |
|
|
129 | "collapsed": false, | |
|
|
130 | "prompt_number": 7, | |
|
|
131 | "input": "CZ01.decompose()\n" | |
|
|
132 | }, | |
|
|
133 | { | |
|
|
134 | "cell_type": "code", | |
|
|
135 | "language": "python", | |
|
|
136 | "outputs": [ | |
|
|
137 | { | |
|
|
138 | "output_type": "pyout", | |
|
|
139 | "prompt_number": 8, | |
|
|
140 | "text": "<sympy.physics.quantum.circuitplot.CircuitPlot object at 0x472d550>" | |
|
|
141 | }, | |
|
|
142 | { | |
|
|
143 | "output_type": "display_data", | |
|
|
144 | "png": "iVBORw0KGgoAAAANSUhEUgAAANcAAACOCAYAAACi/J2KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCzBCXIAR4gKM/Avn+MC2/OP35gAAAABJRU5ErkJggg==\n" | |
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145 | } | |
|
|
146 | ], | |
|
|
147 | "collapsed": false, | |
|
|
148 | "prompt_number": 8, | |
|
|
149 | "input": "circuit_plot(CZ01.decompose(), nqubits=2)" | |
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150 | }, | |
|
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151 | { | |
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|
152 | "source": "<h2>Example 3</h2>", | |
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153 | "cell_type": "markdown" | |
|
|
154 | }, | |
|
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155 | { | |
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156 | "source": "Create a SWAP gate", | |
|
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157 | "cell_type": "markdown" | |
|
|
158 | }, | |
|
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159 | { | |
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160 | "cell_type": "code", | |
|
|
161 | "language": "python", | |
|
|
162 | "outputs": [ | |
|
|
163 | { | |
|
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164 | "output_type": "pyout", | |
|
|
165 | "latex": "$$SWAP_{1,0}$$", | |
|
|
166 | "prompt_number": 9, | |
|
|
167 | "png": "iVBORw0KGgoAAAANSUhEUgAAAE8AAAAcCAYAAAAgLuLfAAAABHNCSVQICAgIfAhkiAAABDdJREFU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\nAAAAAElFTkSuQmCC\n", | |
|
|
168 | "text": "SWAP \n 1,0" | |
|
|
169 | } | |
|
|
170 | ], | |
|
|
171 | "collapsed": false, | |
|
|
172 | "prompt_number": 9, | |
|
|
173 | "input": "SWAP10 = SWAP(1, 0); SWAP10\n" | |
|
|
174 | }, | |
|
|
175 | { | |
|
|
176 | "source": "Decompose and plot it", | |
|
|
177 | "cell_type": "markdown" | |
|
|
178 | }, | |
|
|
179 | { | |
|
|
180 | "cell_type": "code", | |
|
|
181 | "language": "python", | |
|
|
182 | "outputs": [ | |
|
|
183 | { | |
|
|
184 | "output_type": "pyout", | |
|
|
185 | "latex": "$$CNOT_{1,0} CNOT_{0,1} CNOT_{1,0}$$", | |
|
|
186 | "prompt_number": 10, | |
|
|
187 | "png": "iVBORw0KGgoAAAANSUhEUgAAAOQAAAAcCAYAAABxlhP5AAAABHNCSVQICAgIfAhkiAAABThJREFU\neJztm3uIVUUcxz93t01ta0PD2h7uZqQGWWRgSvZ+K0QEYUQPemCREj0kkLTAiEoIAwuWipDNsqRa\ngghCxY0sLXAVCrPWjc2gMrQnvShs++P3u7tzZ+ecM/ees+nemQ9czj3z+83re+bM/c3ccyASiYwa\npgIPAK8DHwLrgbXAZKAEdAKt6nsS0A3sBgaAbY7yZgKfq30A6AMutnwagOuALmCNftYDjwNHWL7d\nWs5+YJP6/aRpvcC7mr5H0x6qqvfVEbXypxqtIOpFI7AE+BZYCEwxbJOA94DViAA2i4FPtJGzE8rv\nBq51pJ8C7AQ6gGYjvQm5YL1aP8AJwD5glqPsf4DxRtphwEbg5oT25CFq5U8erSA8vQBoA7YCXwGn\nJficjYjyrMO2Fpij9s6E/K840iYB/cCtCXnGaZu69Pxe4BrL53DgD6T9No8wXOC8RK38yasVhKUX\nIHf7x0jjj8/w/Z7hM1EJWKffe4A/gQmWzwRglZXWisxQz2XUuQa5GO1aT6NlL1+sFY68z1A5s+Ul\nauVPXq0gEL0arPNHgXOAh4HvMvLuRn7CTaYjYQFIaDAWuM3yOR/4wDhvQX7yjwTuy6izT49nAe8A\nByz7hXp835G3B1kDFEXUyp+8WkFYegEwQxuxk+E3qovrHWmLGGp4M/AzInDJ8FlJ5YL9QWTmecKj\nzpfU11U3yEL7AHC0R1l5iFr5U4RWEI5egyzVBi3IUUYnMnOVWaVlXm6kvWp8bwC+Vp9pHuVvU9+T\nHbZG4Fdgu39zayZq5U8RWkEgepkz1nl6zFPpWOAv47xDj3frsQX4xbC3Iwvu/cAXGWWPB04H9iIL\ncJsZwFG4Q4qiiVr5U4RWEIhe5g05C/gX+Mwj31RH2hQkhDDZhWxlXw2ciFycLYb9VD32e9S5ELko\nXQn2C/T4fwyyqJU/ebWCsPQaZAfwg4ffRNwx+R3AFY70+UgosBx4ksqQ4Ey1bciocwwye/UjM5WL\nt7SsiRllFUHUyp+8WkFYeg3ytFbaluG3HDjOkf4isptl04R0+BvgTcvWgOxO/U7l+sBmBTLLXpRg\nLyGhic8s3Aa85uE3F9kUWMpQWFQmBK3S+u8iSde8WsHo0AuKGVuDzEZi9CUpBd2lHxfrEtIBHkMu\nyssO2/Nqm5uQdzHyh+ztKeVP1zI6UnyagWXahr4UP5A/rj9iaAfvDWQ2LlPvWmX13yRL17xawaGv\nV5Fjq4KrtIH3IE8vlJmGhATzEvLdCLyd0og2ZMv4ToetSfNuofKP3nZk1vwUWXCnsQwR7aYMP4DL\nyBbtBeTpizK3IM8ymtSzVj79t0nTtVatYHToVaaosVXBTOApYLM6dmqjJjt85wFfMvRA7w4kdnfR\nRfKifQxwPxKarNZPB/J84LiEPAuQ9cFWJOQYQEKXTcgjVkn4iLYZWbeYefY5/OpVK9/+Y/mk6VqN\nVjC69CpT5NgKBh/RdgE3GOdzgL9HrEWHHrX030fXeif32PJ5ciJE+pFZsUwz8ONBasvBIPT+jySp\n2sYb0s124FjjvBV56iMUQu//SJKqbbwhh7gU2QQAeTPhEsN2Jem7bPVGVv9NrSLZeI8t+xWTeqaE\nPJExH3nvrjwZ7UHE6gF+QwTrRd5OOAM4F9nFW0llqFHPpPXf1ipN11CIY6tGWq1Pi2FrQragTRqR\nd/lCJan/tlZpuoZCIWMrtMG2N8V2DMPfabPfiQuNpP7bWqXpGgpxbBXMIuKa2peoVXVEvWogtGgh\nD1Gr6oh6RSKRSCQSiUQikUikcP4DcImNVwb6bzMAAAAASUVORK5CYII=\n", | |
|
|
188 | "text": "CNOT \u22c5CNOT \u22c5CNOT \n 1,0 0,1 1,0" | |
|
|
189 | } | |
|
|
190 | ], | |
|
|
191 | "collapsed": false, | |
|
|
192 | "prompt_number": 10, | |
|
|
193 | "input": "SWAP10.decompose()" | |
|
|
194 | }, | |
|
|
195 | { | |
|
|
196 | "cell_type": "code", | |
|
|
197 | "language": "python", | |
|
|
198 | "outputs": [ | |
|
|
199 | { | |
|
|
200 | "output_type": "pyout", | |
|
|
201 | "prompt_number": 11, | |
|
|
202 | "text": "<sympy.physics.quantum.circuitplot.CircuitPlot object at 0x7f082c973650>" | |
|
|
203 | }, | |
|
|
204 | { | |
|
|
205 | "output_type": "display_data", | |
|
|
206 | "png": "iVBORw0KGgoAAAANSUhEUgAAANcAAACOCAYAAACi/J2KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" | |
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207 | } | |
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208 | ], | |
|
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209 | "collapsed": false, | |
|
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210 | "prompt_number": 11, | |
|
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211 | "input": "circuit_plot(SWAP10.decompose(), nqubits=2)" | |
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212 | }, | |
|
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213 | { | |
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214 | "source": "<h2>All together now</h2>", | |
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215 | "cell_type": "markdown" | |
|
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216 | }, | |
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217 | { | |
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218 | "cell_type": "code", | |
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219 | "language": "python", | |
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220 | "outputs": [], | |
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221 | "collapsed": true, | |
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222 | "prompt_number": 12, | |
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223 | "input": "gates = [CGate(1,Y(0)), CGate(0,Z(1)), SWAP(1, 0)]" | |
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224 | }, | |
|
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225 | { | |
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226 | "cell_type": "code", | |
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227 | "language": "python", | |
|
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228 | "outputs": [ | |
|
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229 | { | |
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230 | "output_type": "display_data", | |
|
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231 | "latex": "$$C_{1}{\\left(Y_{0}\\right)} = S_{0} CNOT_{1,0} S_{0} Z_{0}$$", | |
|
|
232 | "png": "iVBORw0KGgoAAAANSUhEUgAAANMAAAAcCAYAAAD7uYq4AAAABHNCSVQICAgIfAhkiAAACC9JREFU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\nYII=\n", | |
|
|
233 | "text": "C \u239bY \u239e = S \u22c5CNOT \u22c5S \u22c5Z \n 1\u239d 0\u23a0 0 1,0 0 0" | |
|
|
234 | }, | |
|
|
235 | { | |
|
|
236 | "output_type": "display_data", | |
|
|
237 | "latex": "$$C_{0}{\\left(Z_{1}\\right)} = H_{1} CNOT_{0,1} H_{1}$$", | |
|
|
238 | "png": "iVBORw0KGgoAAAANSUhEUgAAAMkAAAAcCAYAAADLNZuZAAAABHNCSVQICAgIfAhkiAAAB21JREFU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\njIiIiIiIiIiIiIiIOK/4H2GZIPTJUTibAAAAAElFTkSuQmCC\n", | |
|
|
239 | "text": "C \u239bZ \u239e = H \u22c5CNOT \u22c5H \n 0\u239d 1\u23a0 1 0,1 1" | |
|
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240 | }, | |
|
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241 | { | |
|
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242 | "output_type": "display_data", | |
|
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243 | "latex": "$$SWAP_{1,0} = CNOT_{1,0} CNOT_{0,1} CNOT_{1,0}$$", | |
|
|
244 | "png": "iVBORw0KGgoAAAANSUhEUgAAAUYAAAAcCAYAAAAdtRbVAAAABHNCSVQICAgIfAhkiAAACMVJREFU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\nIBAIBAKBQCAQCAQCgUDgc+V/qk2ZfX6S+9YAAAAASUVORK5CYII=\n", | |
|
|
245 | "text": "SWAP = CNOT \u22c5CNOT \u22c5CNOT \n 1,0 1,0 0,1 1,0" | |
|
|
246 | }, | |
|
|
247 | { | |
|
|
248 | "output_type": "display_data", | |
|
|
249 | "png": "iVBORw0KGgoAAAANSUhEUgAAAJ8AAACOCAYAAAAvkdreAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4oMN8cGG+GBDfLAhPtgQH2yIDzbEB5tvYBYsxI+4hMwAAAAASUVORK5CYII=\n" | |
|
|
250 | }, | |
|
|
251 | { | |
|
|
252 | "output_type": "display_data", | |
|
|
253 | "png": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAACOCAYAAAAvtI33AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n" | |
|
|
254 | }, | |
|
|
255 | { | |
|
|
256 | "output_type": "display_data", | |
|
|
257 | "png": "iVBORw0KGgoAAAANSUhEUgAAAJ8AAACOCAYAAAAvkdreAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAABIRJREFUeJzt3TFIlH8cx/HP81fUQ27wwEnBG10cmqJAkUQSG1R0CgJ1\nbShwcWlpctVBaAkicRDU6eBwMEQUPUQaagkUxHBoSDyQ8BB+DVJhon/Ls48+z/sFz/Ic/Pg++uae\n5/EBnyiEUJSUFvCPRSGE4B4CyfSfewAkF/HBhvhgQ3ywIT7YEB9siA82xAcb4oMN8cGG+GBDfLAh\nPtgQH2yIDzbEBxvigw3xwYb4YEN8sCE+2BAfbIgPNsQHG+KDDfHBJlbxZTIZRVFU1i2TybgPK7Zi\n9b9aoihSuQ/nOtbEiVh98+F2IT7YVLoH+Be+fPmixsZGHR8fq7KyUtlsVtlsVhUVFZKkQqGg/f19\nzc7Oqq+vzzxtgoQYOe9wXr9+Haqrq8PExEQ4Pj4+9dn8/HyoqKgIz549+6M1cXWx+smeF0p/f3/I\n5XJn9q+trYVUKhV6e3v/eE1cXezvdkulkh4+fKh3796d2r+9va179+4pm81qaWlJNTU1l14T5RH7\n+HZ3d/Xp0yd1dHT83Pf161fdv39fpVJJ6+vrqq+v/6M1UR6xj+93R0dH6uzs1MePH7WysqLm5uYr\nr4m/k4i73R9CCBoaGlKhUFA+n//f8HDNzrsYlHQrt4uMjo6GKIrC27dvL31R7D6eWG+X/i3cAhfF\n9+rVqxBFUXj58uWp/d++fQuLi4t/tSauJhFPOPL5vJ4+farBwUG9ePHi1GfT09M6ODgwTZZssb/h\neP/+vdra2nT37l3l8/mfTzV+aG1t1cLCglKp1KXXRHnE+pvv8+fPevTokZqamjQ3N3cmvOnpaWUy\nmXPDw/WKbXzFYlHd3d0KISiXyymd/vV6ub29PY2NjenJkyfq6ekxTplssT3tDg8P682bN2poaFBD\nQ4Okk6cdW1tbKhaLkqSqqirt7u7yR2aT2MZ3k9fEidiednHzER9siA82sXu2G0VRWderq6sr63r4\nJVbxXfbGgJuIm4HTLmyIDzbEBxvigw3xwYb4YEN8sCE+2BAfbIgPNsQHG+KDDfHBhvhgQ3ywIT7Y\nEB9siA82xAcb4oMN8cGG+GBDfLAhPtgQH2yIDzbEBxvigw3xwYb4YEN8sCE+2BAfbIgPNsQHG+KD\nDfHBhvhgQ3ywSVR8IQQVCgVJ0sbGhnkaJCa+o6MjdXZ26sGDB5Kk9vZ2dXV1qVQqmSdLrsTENz4+\nrtXVVR0eHkqSDg8Ptby8rMnJSfNkyRWr9+1epKWlRR8+fDiz/86dO9rc3DRMhHPjK/cL9IDfnXva\nDSHEapuamlJtbe2pY6ytrdXMzIx9tqRuibnme/z4sZ4/f65UKqV0Oq1UKqWRkRENDAy4R0usxFzz\n/VAsFrWzs6NsNqt0Ou0eJ9ESFx9ujsScdnHzEB9siA82xAcb4oMN8cGG+GBDfLAhPtgQH2yIDzbE\nBxvigw3xwYb4YEN8sCE+2BAfbIgPNsQHG+KDDfHBhvhgQ3ywIT7YEB9siA82xAcb4oMN8cGG+GBD\nfLAhPtgQH2yIDzbEBxvigw3xwYb4YEN8sCE+2BAfbL4DB1vr/IQMFOAAAAAASUVORK5CYII=\n" | |
|
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258 | }, | |
|
|
259 | { | |
|
|
260 | "output_type": "display_data", | |
|
|
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262 | }, | |
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263 | { | |
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264 | "output_type": "display_data", | |
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265 | "png": "iVBORw0KGgoAAAANSUhEUgAAAJ8AAACOCAYAAAAvkdreAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAAzxJREFUeJzt3TFOKmEYRuF3yC2xtTU0asMG2IATXQchMS7H0LgBCxNj\nAgRbtkCDcTZAYXOxNDO3gsTC1uP1P085NF8mh3++aaDquu5vkqNI36zquq6jh1CZevQAKpfxCWN8\nwhifMMYnjPEJY3zCGJ8wxieM8QljfMIYnzDGJ4zxCWN8whifMMYnjPEJY3zCGJ8wxieM8QljfMIY\nnzDGJ4zxCWN8whifMMYnjPEJY3zCGJ8wxidMMfFtNpu0bfvpWtu2eXl5gSZSET+L23Vd6rrOYDDI\ndDpNr9dL27YZj8fZbreZzWb0iEUq4uSrqioPDw9Zr9e5vr7Ox8dHxuNxmqbJ/f09PV6xijj59na7\nXeq6ztvbW46Pj7NYLNLv9+mxivVlfFVVffcsKsyfrz74bQfifsdrmiar1Sqj0SjD4fCwA+r7FXHX\nu67LZDJJ0zSZz+dJkuVymfV6nZubG3i6chURX1VVuby8zHw+P+x4R0dHWS6Xubi4gKcrV1EvHHtV\nVf26teJ/VMTJp5/J+IQxPmGMTxjjE8b4hDE+YYxPGOMTxviEMT5hjE8Y4xPG+IQxPmGMTxjjE8b4\nhDE+YYxPGOMTxviEMT5hjE8Y4xPG+IQxPmGMTxjjE8b4hDE+YYxPGOMTxviEMT5hjE8Y4xPG+IQx\nPmGMTxjjE8b4hDE+YYxPGOMTxviEMT5hionv8fEx7+/vn67tdrs8PT1BE6mI+Lquy2KxyNXV1SHA\n3W6Xuq7z/PwMT1euYv5pvG3bjMfjNE2T1WqV0WiU4XCY6XSaXq+I7+CPU8xd7/V6ubu7y8nJSZLk\n/Pzc8GBfnnxVVX33LCrMn68++G1P4/2ONxwOc3t7m8lkkqZpMp/P0+/36fGKVMTO13Vd6rrOYDA4\nPGr3O+B2u81sNqNHLFIR8SXJZrPJ6enppx2vbdu8vr7m7OwMnKxcxcSnn8dXPWGMTxjjE8b4hDE+\nYYxPGOMTxviEMT5hjE8Y4xPG+IQxPmGMTxjjE8b4hDE+YYxPGOMTxviEMT5hjE8Y4xPG+IQxPmGM\nTxjjE8b4hDE+YYxPGOMTxviEMT5hjE8Y4xPG+IQxPmGMTxjjE8b4hDE+YYxPmH8MEtVxVFn5TgAA\nAABJRU5ErkJggg==\n" | |
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266 | }, | |
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267 | { | |
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268 | "output_type": "display_data", | |
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269 | "png": "iVBORw0KGgoAAAANSUhEUgAAANcAAACOCAYAAACi/J2KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" | |
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270 | } | |
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271 | ], | |
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272 | "collapsed": false, | |
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273 | "prompt_number": 16, | |
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274 | "input": "for g in gates:\n dg = g.decompose()\n display(Eq(g, dg))\n circuit_plot(g, nqubits=2)\n circuit_plot(dg, nqubits=2) " | |
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275 | } | |
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276 | ] | |
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277 | } | |
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278 | ] | |
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279 | } No newline at end of file | |
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| @@ -1,726 +1,103 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><h1>Dense Coding | |
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10 | </h1></source> | |
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11 | </markdowncell> | |
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12 | <codecell> | |
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13 | <input>%load_ext sympyprinting</input> | |
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14 | <language>python</language> | |
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15 | <prompt_number>2</prompt_number> | |
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16 | <collapsed>1</collapsed> | |
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17 | <outputs /> | |
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18 | </codecell> | |
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19 | <codecell> | |
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20 | <input>from sympy import sqrt, symbols, Rational | |
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21 | from sympy import expand, Eq, Symbol, simplify, exp, sin | |
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22 | from sympy.physics.quantum import * | |
|
|
23 | from sympy.physics.quantum.qubit import * | |
|
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24 | from sympy.physics.quantum.gate import * | |
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25 | from sympy.physics.quantum.grover import * | |
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26 | from sympy.physics.quantum.qft import QFT, IQFT, Fourier | |
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27 | from sympy.physics.quantum.circuitplot import circuit_plot</input> | |
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28 | <language>python</language> | |
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29 | <prompt_number>3</prompt_number> | |
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30 | <collapsed>1</collapsed> | |
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31 | <outputs /> | |
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32 | </codecell> | |
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33 | <codecell> | |
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|
34 | <input>psi = Qubit('00')/sqrt(2) + Qubit('11')/sqrt(2); psi | |
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35 | </input> | |
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36 | <language>python</language> | |
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37 | <prompt_number>4</prompt_number> | |
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38 | <collapsed>0</collapsed> | |
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39 | <outputs> | |
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40 | <output> | |
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41 | <output_type>pyout</output_type> | |
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42 | <text>β½β½β½ β½β½β½ | |
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43 | β²β± 2 β β00β© β²β± 2 β β11β© | |
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44 | ββββββββββ + ββββββββββ | |
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45 | 2 2</text> | |
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46 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUx3QUFBQWtDQVlBQUFBemZGQ0ZBQUFBQkhOQ1NWUUlD | |
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62 | QTI1WWU5SG5HYzMKc0l4VzcvdGM1emZNK1hHcEErT0s5RVBPN3l4Tk81ZHZhWDBJT29XOHRJSHMr | |
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63 | cGpDcDA4UkhmNG84cFJ0Qms0SGJsTFlEQ0pUY2hSTgo0RDFhUjkrYmdUK0puM0xyVEhSYUwyN2Fk | |
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|
64 | RTA3bHgzQWpURjF0eXQ1YVFQWjlUR0ZUeCszd3pjTkhGNk9JT0dobmNENlFGNFZXRWw4CkJFREZD | |
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|
65 | aVIwZURmaVZFWlJSUVFPVXZIazY5aTU5Q1BPbWlsTWFPUFZ4NVEyb0tlUEtYejZ1QjIrWXVCUThT | |
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|
66 | SXdIN2pFazdZYWVCTTQKcG5raFp5SU8yejNBOWdUMnFsZ3dTSFFCNERkTk81ZGxtQjI5VEdpajBp | |
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|
67 | ZFBiVUJmSDFQNDlDbDY0K2tUWkUyMUhsbnJWWkFObnFXYQo1NmtCYnlQcno1Y1NsaGtGTGxla1Qz | |
|
|
68 | Vis5MnZhZ1N4dnhsSFBDQUIzSUNOa2tENmtFNmtjMTIzT1VUUjVhUVBwOURGQm5ENkZjQ2R3CkdO | |
|
|
69 | bkl1QUhZcUZtK2dvd1lRZWRvUWVCL0EzOFVZQjJ5bGd3eUF2eUx4TjkxN0VBY3ZhaTNCbXVJVHhB | |
|
|
70 | OE5pTFR2Q3B2Y3NUNVRKTlYKRzBpdmo1ZThvalF0K3BUeExzMEljbFBYT3NkV3pmSmJrTkRoNjU2 | |
|
|
71 | MFBtQkpUTGxSSkxZZTNLQlo0clRwZ0tZZHdFeWkzeG84RFB5cQpPQTQ2NTFIbC9STnpIU2JKcWcy | |
|
|
72 | azE4Y0VMZnFVOFM3Tk9QQWE4Q0R3Tk9xSVNCaHJrWFhtOTB4c1pGUVF4K2lqbUxKN2dTK1FrWFdE | |
|
|
73 | Cms3WVFPQU40S29YZFltQ1BSdHM3Z1N6YVFEWjl2QnpuL01idGtrYlpwZFpuQnZBUTh1UStobjlL | |
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|
74 | VDhzY1pKVFQrVVRzTWlTaUVCWjEKbUJld1grd2NYdXJJV25VRTJaVWNSZGFwUVpMWVBVcjY3ekh6 | |
|
|
75 | Mm5ocUYyMGdIMzJ1UldhVnI1d3l4NUNYOWw1QWRudDE3SlQ2eEFsVwpSYnozRGM3RmJFYUVIMERX | |
|
|
76 | czFtWUNmeWlZVjhINWtia2Y0NjAwY1Y5Nm84b2JLY2dJL1lZMFIrS1I5bjFJaDBqRFVQSTBpR0xj | |
|
|
77 | OXBPCjJrQSsrcmgraklwOUh0c2tkcW4wNlFkK1pHTGhmeG9pL05XNko3TDRHRVMrUmMyQzFjWUFO | |
|
|
78 | ZVFkYVBlMTJEN2twaTRzclVYZFFSNXYKUzFwdENtQVkyRVY3ZmluMWYyY1lxMDJ1ekVjODdkNDRR | |
|
|
79 | MHZoV0cxeVppN3dMUEt4UVE5d1Vybk5zWGl3MnVUTU9VaG96bzNvTEtDYwpUUVJMSzFZYlRlTENr | |
|
|
80 | cWNpMzNaNkEvdlRnUXVSWFVGTGVWaHRVaERYNGFmUnVtSFFSR0txbG5LeDJsZ3NGb3ZGWXJGWUxK | |
|
|
81 | YXU1ejl2CjByak9nS2lER3dBQUFBQkpSVTVFcmtKZ2dnPT0K | |
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|
82 | </png> | |
|
|
83 | <latex>$$\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|11\right\rangle }$$</latex> | |
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|
84 | <prompt_number>4</prompt_number> | |
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85 | </output> | |
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86 | </outputs> | |
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87 | </codecell> | |
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88 | <codecell> | |
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89 | <input>circuits = [H(1)*CNOT(1,0), H(1)*CNOT(1,0)*X(1), H(1)*CNOT(1,0)*Z(1), H(1)*CNOT(1,0)*Z(1)*X(1)]</input> | |
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90 | <language>python</language> | |
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91 | <prompt_number>5</prompt_number> | |
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92 | <collapsed>1</collapsed> | |
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93 | <outputs /> | |
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94 | </codecell> | |
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95 | <codecell> | |
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96 | <input>for circuit in circuits: | |
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97 | circuit_plot(circuit, nqubits=2) | |
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98 | display(Eq(circuit*psi,qapply(circuit*psi)))</input> | |
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99 | <language>python</language> | |
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100 | <prompt_number>6</prompt_number> | |
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101 | <collapsed>0</collapsed> | |
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102 | <outputs> | |
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103 | <output> | |
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104 | <output_type>display_data</output_type> | |
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105 | <text>β β½β½β½ β½β½β½ β | |
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106 | ββ²β± 2 β β00β© β²β± 2 β β11β©β | |
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107 | H β CNOT β βββββββββββ + βββββββββββ = β00β© | |
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|
108 | 1 1,0 β 2 2 β </text> | |
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|
109 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVdVQUFBQW1DQVlBQUFBY1Bvck5BQUFBQkhOQ1NWUUlD | |
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|
110 | QWdJZkFoa2lBQUFESDlKUkVGVQplSnp0blh1MEZWVWR4ei8zQWhmaUlWZEpGRlF3VVRSSVVhTTBJ | |
|
|
111 | YTRQYUdtWnBsbGsrVWd5OUlMWnc5VUNuNVhTUXpPU1FJMjBSTHhHCnFZdlZhNEd2MHBKOHhTTzFG | |
|
|
112 | QVVWU3hOTE5FVXlKYmo5OFoxWlo4NmNQVE43enBremN3N3N6MXBublh0bmZqUHptL250K2UyOWYv | |
|
|
113 | dTMKOXdHSHcrRndPQnhWMHdyMEtGb0poeU1IV3IzUGRzVjJkOFBiQVBPQmR4ZXRoTU9SQSs4Q2Jn | |
|
|
114 | QmFpbFlrVDF5THE3bTRHSGdhV0ZLMApJakYwQUs4Qi95MWFFVWNGeldhYlY0RWRnTW5BYnd2V3hl | |
|
|
115 | R29ZREp3UzlGS0pOQUtkR2Z3Y1dSUEszQUh6V21mQmNCcEJWelg0WWhrCk1QQWNNRERGTWFjQk0r | |
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|
116 | dWpUaVNmQktibGZNMW14TmttSGYxUUQzRzNvaFZ4T0h5K0JWeHVLZnMrNEJKZ09UQ3JiaHFaV1Fy | |
|
|
117 | MHlmbWEKellTelRmVmNESHkvYUNVY0RsQk03UlZncjVUSFhVKytMLzR4d0l3Y3I5Zk1PTnVrWjFj | |
|
|
118 | VVl4NVV0Q0wxeG1WZk5ENmR3RVBBTTBVcgpra0FuY0czUlNqaU1iQXUyV1EvY0NYeXhhRVhxalhQ | |
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|
119 | S2pjK25nVVZGSzVIQU9PQlI0UFdpRlVsZ3UwcXQ4bWdXMjBDeWZSWUJKK2VoClNFNFk3emZLS2Zj | |
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|
120 | QitvYyt3WGhVUDhQK1hqVW9aMHJOQytyV08zQ2R2cFk2OTY3aW1tRmFxTHpQdUUvV01idDI0RDNB | |
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|
121 | bnpJK2I5WjgKQ1ppVHczVnNHeEZSY2hkbHBVZ1RrWmR0ZkhyV0lKZGtuK1hBM2lpVTBRalVwVHhH | |
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|
122 | UGNDZkFQc0JCd0Z2STZld0VqZ1hHQTVjRFl4Qwp5ZDJ2b0pyNHA4QjFsa29PQUQ0RGZBQVlTU2tm | |
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|
123 | OFRyZ1J1QTQ3L3BYZVBLelBGME9SODUwTExBaWRNNUZ3RkhldVY4QUZnSVhoR1FPClJvWDBIWjdl | |
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124 | ZXdCYmdVdUJodzE2bmduOENOam8zZi9MS0xaN0VMQUJXQVpzQWQ2SldpVFBBdnRZUGdNYnhnT2Jn | |
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|
125 | Q2N6UEdmV2pBSCsKQWZ3clJtWTZjQUtxelArTmJMWFFJRGZKMngrc2hBWUNWNkhjMmhkUlRIRUJz | |
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|
126 | Q3AwckkzY1dsUnVIMCs2cVcwRUc5dEFiZllKTWdQWQpCZmhLd3ZXaTVKTHM4endLWTN3UXVEWGhH | |
|
|
127 | bG5RY09WeEhNcEp2REppLzBYZS9oTnRUK2h4SkxBT2phU09wVlNMOUFDK2dRWkIza1FPCk84aGc5 | |
|
|
128 | SEM2Z1I5SG5QdFVWRG1FNlFuY2hCenYzcUY5UjZFSGQ3Ymh1THRSd1FuV2RGTThIYzRLeVo0TTNC | |
|
|
129 | V2hWN1ZjQWZ5K3ltUHoKR2t5NkNWVnVVWHdUWlJ5MGVmOGZoeXBDazI1SEE0ZUd0aTJtUEI0NkNW | |
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|
130 | VzZnNnVRYTBPaitOV3dGOW0xMEJyRk5sQzdmVnFBQTRCdgpvL2ZpcW9qcjJNaloyT2ZYNU5meWI3 | |
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|
131 | anlPQk05dklrUisrOUdyY1FkTE0vWGdoN20yOERuWW1UdVI3T093dUdGazlBRWlrZFE2N0hkCmNQ | |
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132 | eFhnUU5EMjFxUm8xNU1kSWhsbG5mTzRZRnRnekU3K0FYb3VZU2QrekRVZzhpU3BjQTFLWS9aRHhu | |
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133 | Nk9lQUo0RUtTWDh3b1dqRS8KWjUrOWtZT0pZbmMwU0JudXZpMUV6ekE4WFR6OEVveENEdUt3d0xZ | |
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134 | VzFGcGFVSVVjd1BsRWg4RGlPQWVWd1Zwb0pOdEE3ZllCK1ltcgpVUTgwemluYnlpWFo1N3ZBNzJM | |
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135 | MlowbkRsY2Vsd0Z1b3F4K21EZmdQbFNHRU9NN0RybVY5R2ZBcncvWTV3QkRVb3UzR1BBcDdFK1VG | |
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136 | CnJBVzFxdGNSWDRBUDk4NTVhV0JiSjJwRmgza0cxWGhoeGtib1ZBc1BvNVpNR25wU0dldXVaanI5 | |
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|
137 | am1nNjl3OWlaT1lqUnhQRmljQm0KMUFNS2NpWjYzbDhJYlErL0JOZWowRlpZLzRXb2dMZWtsQU8x | |
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|
138 | ZU0rSTBUbUtMSnh5STlrR2FyZFBrSGJpbmEydFhKSjlMa0lOc3p3bwpwRHhHQmFCN0lDLy9FQW9s | |
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139 | aERrRU9lcy9SQndmNWtBMEFlSXUxR0tOWXgxcWhZY1ppbUl6WFNqR0d3NDMrUGV5TmJEdFNoUnVt | |
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140 | SVppClEzSFhCTmcvc08xVkttdmszVkVjL1Q3RE9UWmkvenhzMlFuMUd0THdQK0NOMEdkTHluTzBB | |
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141 | Vk5ScGZCWkZLY1BzeHR5S3F0anpyTU8KdllEaE9Qc203M3ZuQkQwT1JLM0tzUDdQb3Bqa3ZpbmxR | |
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142 | SlhxaUlUcjFvdEdzZzNVYnA5NmtHU2YxOUI3VVFTNWxNY29wM3dRQ2t2YwpHN0gvQ08vYjFna3R3 | |
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143 | RDUrc29wS3g5Mk9uQ1NvSUhlaFZzQVJBWmt4YU1EUlp4Z2FtUHdiY0h2Q05mMVFSRnRnMjgrb25P | |
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144 | ZmY0WDJiCjd2dEpLb1A5dGJJVDhaVkp2WGdielNDY2gwSStweHRremdObUo1eG5KZXJkbkJMYTds | |
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145 | ZCtEeVVjdnlzbEJ4SEUzN1pMU2ptZjVXaDIKWFRPU2xXMmdkdnZVaXpqNzJEcmw5NkwzOGM4cFBy | |
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146 | Y2xuRE9YOGhpVmZUSEIrLzRROEg3RC9rT1F3N0p4eWtPUnczd0FPeU92Tkd3YgpqeklkZks1RjRZ | |
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147 | Vk80QjV2VzBkSW4ybm8vaFpTM25vMk1jcjdmakJCem44dVdiZUlveGlBMmJoNThUSWFpWitPNG9G | |
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148 | K0pUVUl4ZDl0CndsY2JRdi8zUWQyMUZjUlhsaTBvcm04YW1mYWZTWHNLdVNCM0FsK204Vk1ONDhq | |
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149 | Q05sQzlmZXBKbkgwMm9SaHNEK0o3R1N0UTR6SXIKY2l1UFVVNjVBM1cxamtTeDR5QnRxTFo2bkVx | |
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150 | RG1oanZmZGZTaXB4QStZRFhZOEFmZ1kraFdtazlTbmViRjVEeGcrd1BXSnpmYndFbgp5VTVBOS94 | |
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151 | WGkzTm13VWFVcG1TaUhxdDFtWkxaNTZHWGRDS2w3Skp6Z2JsVlh1TjhsRU4rT3ZFdlZUY0tuWmtx | |
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152 | Vkw5SHN5V0ZYSkRqCk1ZOWJaRVc5VmxJTDJ5ZHIyNEM5ZmVwSm5IMEdJSitVdDI2NWxVZFQrS0lG | |
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|
153 | T2RKVlZEcGtVTGVnRC9hcFduNnovQzhXc2tNd3oyMGYKVGludTYzTU42cjZkaVhUdWlTb1NIejhr | |
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|
154 | a1RROWVRUnk3aThRNzVSM1JpR1QrOGh2K2NJTlJLOE0xMUtIajRtVktDUEdIL1RwandZMQo3NjNp | |
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|
155 | ZmpwUUQyWVNkaFhiWXhIYi9kSHFGMVBLK2V3ZmM4d016RjNibVdqazM3UXZ2S3hrUFd4anNrK1d0 | |
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|
156 | b0gwOXFrWGNmWVppRjFqCnNCN2tVaDVOTGVYOVVjem14b2dUK3kxZjJ5NzgwOTczU3hheTUxTzVw | |
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157 | R0ZmRkVjT2N4c2F3WjJLYXBrblF2dGZRRTQrcWZ2djV5RlAKU1pETk8zUUJtdUFTbHpXU0YzT0Jt | |
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|
158 | OUVnNTBuQUQ2czR4d2p2dUVuSWtkbndHR29FaFBFSHQ5YW5sQU9GcXVJY3p1V1lWK1E3eHp0UApV | |
|
|
159 | dHd4YjdLd0RWUm5uM3FRWkorQjZMMUk0bUNVZ1pKbWF2MWE0Rk14KzRzb2o0QUtYemVhNFdQaUY5 | |
|
|
160 | NStVeUs5YVozWS9UejVwTlN1Ck1aZ25jRXdFUGg5eHpIZThjOTlCS1FUaE05dmJGNWRlTXc1MU5X | |
|
|
161 | eHlnZWQ0NXpNOWJKODA2K1NPUkFPZm5kNzFUU1BkU3l4MXF6ZTkKME15d2VTaitsWFlOaVozUW1N | |
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|
162 | RG93TGJlVkw0QTRSU2tUc29Mc004OXFMWFJJNlVjNkprblRjRTNrVVZLWEQybzFUWlF2WDJDWkpV | |
|
|
163 | UwpsMlNmMmVUM0t5U0ZsRWRUK01KM2Jzc00rMENPYkUzb292NDZzZWVpTGxTUTFTaitld0xSRTAz | |
|
|
164 | R2VNZWFadXBOSURwVU1oL0ZianFvCkhFUzhGWTFVSHh0eDdBSEFiOUN2ZVp3WElSUFc0M1hNcllp | |
|
|
165 | NCs0K2l5N3YydGNBdlViWkhtRWNwRFVJV3lXYlVpcHFPZWxCcHdqZHQKS0c5ekd1VXRndEVrajZJ | |
|
|
166 | L2drYXFneFZoWHpUYmN6YWwySnl0WEYvdjc3ZFM2Ti9vMUdJYnFNMCtXV05qbjlIa2w2Y2NwcER5 | |
|
|
167 | MkJmNApKMnJHbXhpTGpINUR4UDZvNmFQOVVTejJmdFJDOUJtS3BpdC9IWE1TL1I3SStRK0owWGtK | |
|
|
168 | NXJ4aFVITDhSc29kY3pzYXhGaERaU3BRCkZQdWdoMmZLbnc1aU8zMTJBdVhQdUJlSzN3OEx5WDBZ | |
|
|
169 | VlFTTnNKcmZMbWhFTysxa2h5NlU4dE1WK056c25TczhPU2ZjTW1rQmZvNHEKTHovVU5nM0ZGQWRV | |
|
|
170 | SVhjRzFlY29OMnBMR2FxM0RkUm1ueUIranpocFRZbzRPUnY3dkV6NnBSMnFwWkR5NkI4d0hNMkcy | |
|
|
171 | dzA1NXQ2bwpkWHN6Nmo1L0ZDM3VNeHpGWFk5R3JkY0xQTGtrM3ZDT09SWDRHbkp5cTFHM2F3bHE4 | |
|
|
172 | UWJwalFZclJxR0M5cUNuaHluV041Zm9rTUppClZNa2NEM3djRFFTMm9zVDdJNEcveCtpOHA2ZFhi | |
|
|
173 | MC9mTjczckxFTU9kQ2JtOUQwYlJsSWU3TitNNG1RSG9MeHFuMlVvKzJKZkttUG0KY1l4RHNjRSsz | |
|
|
174 | ckVYVXZzaVBDOFJIN294TVJrdFBFWEVzZUhKRFpzb0gxenVSaE1rTGtHdHdBMm9najRVVmJacDVY | |
|
|
175 | YWtOTVpSRkkxaQpHNmpkUHFDUTR4Ukt2dUVZNENuMGJuK0UwamlOalZ5U2ZmWkVpUUJSdmZpczJT | |
|
|
176 | YktZOTYvcU5CbzJONy9EQ3B6UU5lZ3RaUERyTVE4ClFTQ0tkc29YYkRrTlRVQ3BacjBIUjRsVGtE | |
|
|
177 | T3RCV2ViMnZnRWpiMWlZaVkwUXJkNGUyUXRsUU15L1RDbituUmhkdFpSakVRcFVydDcKLzkrT1Jx | |
|
|
178 | d1BpenpDWVVNWHRhOEM2R3hURzZjZ08yelRPS2RjREtzb24yclpCdzJxckRQSXprZnBQYmJyTkM5 | |
|
|
179 | SDNhVG52Zi8zUU4ycApvcnZ0RG1lYldoaUd4bUpxbVJqVEZEaW5YSDlHVTU1cUJKclFNb2pTVDZZ | |
|
|
180 | ZmdRWXJUVjJ6VFNqZHFkUHllbHNwWDdCL0psckQ5bG5MCjR4MzF3OW1tZXFhaUg1d29ZaTJZcGlU | |
|
|
181 | TGRXS2JrYmo3L3g3bUZKNXhxSkNkaFhJMlJ4cGtmUHhXZE5vVXBlbG9LVlJINCtGc1k4OUEKMUpC | |
|
|
182 | cGxKK0JhZ3F5V2llMldVbTYvN2dKTExiSi9zZWlpVHUybkVCcCttOS90cTlLc3RGeHRrbkhMV2lR | |
|
|
183 | YjdzZ0s4ZTVGVTNVQ0g3eQpXaCtpRVVpNi8wTkk5NE1BSnA1Q2FUV0hrYnh3MGtRMFEvQk85Tklm | |
|
|
184 | ai9LZFRiT01IUG5pYkpPT3MxRWFXYlhUeHgyT0NnNG4yMWw1CmM5RU15Q2oyUlhIbzdzQm5DOW4v | |
|
|
185 | MHJZalBjNDI2UmlKL1k4eE94eldWTE1XZ2NQaGNEZ2NEb2ZENFhBNEhBNkh3K0Z3T0J3T2g4TVIK | |
|
|
186 | eS84QlhNMmZXWUlsVDVRQUFBQUFTVVZPUks1Q1lJST0K | |
|
|
187 | </png> | |
|
|
188 | <latex>$$H_{1} CNOT_{1,0} \left(\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|11\right\rangle }\right) = {\left|00\right\rangle }$$</latex> | |
|
|
189 | </output> | |
|
|
190 | <output> | |
|
|
191 | <output_type>display_data</output_type> | |
|
|
192 | <text>β β½β½β½ β½β½β½ β | |
|
|
193 | ββ²β± 2 β β00β© β²β± 2 β β11β©β | |
|
|
194 | H β CNOT β X β βββββββββββ + βββββββββββ = β01β© | |
|
|
195 | 1 1,0 1 β 2 2 β </text> | |
|
|
196 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVgwQUFBQW1DQVlBQUFBb1IwdlJBQUFBQkhOQ1NWUUlD | |
|
|
197 | QWdJZkFoa2lBQUFEUmRKUkVGVQplSnp0blh1MEZWVWR4ejlYcmtBQ1NTZ29LT0NqTko4b29xWVFY | |
|
|
198 | TFUwVnNsSzdLWEx0L2dBVzVibEF4L1VMUis1MUZJak5STVRmS1Q1CnpvcDhWZGNrTFRKSnpVeEJR | |
|
|
199 | aE5SeTdmbUM3Mzk4WjFaWis2Y3ZXZjJ6RGt6dzduc3oxcG5uWE5tOXQ2ejkvejIvUGJldi8zYmU4 | |
|
|
200 | RGoKOFhnOEhzOXF5WnBWWjhEaktSbGY1ejJyTGVPQjg2ck9oTWRUTXBjQ1cxZWRDWStuYkRZQjdn | |
|
|
201 | YjZWNTJSQkQ0RTdGVjFKanhXV2xVKwphd08vQTRaVm5SR1BweXpXQmhZQ20xZWRrUlMrQ3V3TGRE | |
|
|
202 | Zmg0MmsrclN5Zm5ZQXVvRjhGMS9aNFNtY09jRXpHT0FjQk13dklpNDEyCjRIWmdqUkt2MmNwNCtX | |
|
|
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244 | a1BKN24wVDhpSnlvYlBSVnRBbnpteGdNalZaSFlkY2ViUFMKRjNsYXpRTk95aER2RWN2eGNBTzZG | |
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249 | MmhkVmpPVlVIVjhpbUtKUGtNUXZyZ0pZZDB3cm5GTEV6SHZCSStheDF6cGE2c3BwNStxTnhNSGlw | |
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250 | UQpXMEJpNnVtYjl2SHVpbHc4aVRISVpCUWZYZXlLMmRiK0x2QlQ1Q0Z3THZYS09NeS9iWjBCcUN5 | |
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251 | SG9UbUNPMVB5NTZMMHMreGp2aG1hCjJKNk9SaTFETGVFR29rM1JqcVZtSXcwM1NUTXRLSFBKeTR1 | |
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252 | b01jMDdVbWdXSzlHOVB4UTErR2x1Z0NaT1F3MThWS0VjYkFrYlp6SHkKSmhrVk94NU90aTNLR0E3 | |
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253 | VUt5NWlaWFlWVkMyZklraVRUOWdaY3VucEg0QkdaMWsrdHExUHN0UXhWNXpyNGczSWZHRlRRdjlC | |
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254 | MndKRQpTZHZIZXdGUzZMYkprVEhJbjk2MGVDcnNZWmpZR05tNjNxWitCZDB1YUozQlRaYTQyeUls | |
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255 | T2crM1hmVVdZVjQwQnZuMk1ZKytyV292CjRMZUdNUDNSc0hnTFMveHV3em1Ydkt3ZnhJMHZaS3VD | |
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256 | b1VoK0MzUEUzUS9aaU9QWVZteER2Ui80UXRSaml6SWJtUlBiYzRRN0JmZjMKRThUcHlobXZTS3FX | |
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257 | VDVTNU5PNm5ueWFmeVVqNWx0VWg2b3o4ZHExalVlYVN2NndRQkhnQitkaWFHQmRjNEFyTGVkdnk3 | |
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258 | NEdvNTMwZgpQUlg0Q0xSaXJCT3pNaDJKaGpYREUvSThIL3VvWkNxYXRQeGM1TmhnMU5OWWpGcHFG | |
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259 | ejZHR2hmVCtvRW9yc3ZmSjlMekhxK0pSampSClZuNWJaTTg5M3BMR0NVZ1dsK1RNeXhQazMzdW4y | |
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260 | VnlHMWg1a1lRTHFqVjBkKzF5UHpCSTJPbVAvTzFBZENldmx1cWhuT2oxSHVINjQKdVNYYjZHb2di | |
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261 | cEZVS1orUU52U3NkNlAxTWphU3dybklaeGJsbW5BN0k3ODdjS3VMSVEyVmRUUXE2SlBJZnY0cXNz | |
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262 | R0ZMbFo3bzBuTwpaNFB6SzVCNUo3NVhTSktpR1lETUVkZWdGdTFLdEhlSGFkRkJ2K0I2cndiWGV3 | |
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263 | cjdCTkJrTklTME1RR1pmNjVBbGZkeTFOQ2tMVS9mCkNFMmdkYUViL3dZYUdTeEFwcUN4aGppdVNu | |
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264 | OGE5UTNWTTZoeG1vd2FoSEJ4elhKcW5rZ2hsNk1IS2d6ekVQWExyZFB5TW9mazVmQW0KQnFESjVG | |
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265 | bG9CR0pya01wZ0JYWlBsSE1UNHBsZURiazNtaHU1QUkxMGJROVpXcmpKbUVkbHJuUTFFQmQ2cDN5 | |
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266 | R0lWM3pCTFg2L2p6UwpJUWRrRE9jaW4xdlJabWRsRVMrdlMxMXNWbG1iUXBsdjdGa1ZjUzMvU2RR | |
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267 | dkdGdU1mYWwxRVhrNWlPeDJ3ck9vOVNnR29rbkpyTy9YCjlkaXhPVSs0NHVYVE9NdVJ3dXkxdFBv | |
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|
268 | Q2tsWmxDZlZ1Y2dNbzEwM3NOclM2Y3N1MGdCRTZxTzNtK1FZYTlmVHFCNlJrR3AzZzdNREwKcHhI | |
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269 | Q0ZmN3g3VmQ2RmJiSkFVK3hMS0xuc3VyK3lGVnJXWWw1ZUFYTkI4ekF2SFdyaVFPUnpURmtKTmsy | |
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|
270 | M2ZNVWk1ZFBZOHhBcnRGSgpMMTlxZWJ6U0w1NnRndS9vS3NhbGFCSGFCbWc0dVJ1eThUOWVidFk0 | |
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|
271 | SDYyOG5JbDVMVVNjNkdaUUU1QlMyYWVBZkhueTRlV1RuK0hvCmpWbTJUZVk4TVpxNWozY3JrbFQr | |
|
|
272 | NzZPSjFqamowYUtWbzlDa2pjMHR0Wmw1TVRFYnJiVE13bkEwSjdFNnliaVY4UExKenRrMDVubTEK | |
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|
273 | MnRHc2ZieGJsYlR5Si9VZW1yM0ZiRlpaREVDMjMyMFN3a1Q1Q0JvaGhOczRaSmtUOEJTUGwwOTJK | |
|
|
274 | cUp0MzIwdldmSjRNcFAzVFVwbApzUUZhZzVEMkV2Z0J3UGVRaSsvNmFKMUYvRTFlbnVydzhzbk9P | |
|
|
275 | bWppdHV6OTh6MjltQTVhbzdjMWp2VE50RzZpM3VmNmhJTHo1WEhICnl5YzdjMmllYWRYakFhcDlR | |
|
|
276 | NURINC9GNFBCNlB4K1B4ZUR3ZWo4Zmo4WGc4SG8vSDQybEIvZzhic2R5Y0VKaERVZ0FBQUFCSlJV | |
|
|
277 | NUUKcmtKZ2dnPT0K | |
|
|
278 | </png> | |
|
|
279 | <latex>$$H_{1} CNOT_{1,0} X_{1} \left(\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|11\right\rangle }\right) = {\left|01\right\rangle }$$</latex> | |
|
|
280 | </output> | |
|
|
281 | <output> | |
|
|
282 | <output_type>display_data</output_type> | |
|
|
283 | <text>β β½β½β½ β½β½β½ β | |
|
|
284 | ββ²β± 2 β β00β© β²β± 2 β β11β©β | |
|
|
285 | H β CNOT β Z β βββββββββββ + βββββββββββ = β10β© | |
|
|
286 | 1 1,0 1 β 2 2 β </text> | |
|
|
287 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVhvQUFBQW1DQVlBQUFES20xQ29BQUFBQkhOQ1NWUUlD | |
|
|
288 | QWdJZkFoa2lBQUFEU2RKUkVGVQplSnp0blhtMEhFVVZoNzlKQWdsSndNZFRsZ1N5U1dSUDJBS1J4 | |
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|
289 | WmVBbkNoSGhJQ3lSRUFRaUVCa0UyUlJBUWNDaWhnSUVjU2pva0FTCkRFaEFrTEFKSWtza0VZR0Fv | |
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|
290 | S0NRR0RBSWFvaEMyR1NMZi95Nno4ejBWSFZYOTNUUHpNdXI3NXc1TTlOMXA2dXFiODJ0cWx1M3Vz | |
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|
291 | SGoKOFhnOEhzOXF6UnF0TG9ESDAyUjhtL2YwS0Q0RG5OWHFRbmc4VGVaYVlIaXJDK0h4TklQUndH | |
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292 | MUE3MVlYSklaMWdhNVdGOEpqcGJ2cQpaeER3RzJDZFZoZkU0eW1TRFlISGdJMWFYWkFFeXNBNFlG | |
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293 | VU9MMC8rbE9tKytwa0F6S085QnpvZVQwUGNEQnlVOGpkZkJNNHNvQ3cyCkJnSzNOakcvN283WFQz | |
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294 | b3VBMDV1ZFNFOG5pTFlDbmdlOTVITWpzQTV3Q1BBK1VVVnlzQ3B3TjVOeksrNzR2V1RuVTJBRjRB | |
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295 | MVcxMFEKanlkdlpwRnRBZlpLbW1kSStnSjNBcVVtNWJjNjRQV1RqVHVBeWEwdVJOSDBhblVCUEUx | |
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296 | bE9QQTVaQlRhbWNPQm1YamZlcnV5T3VubgpDdUIwVm5OZnZUZjBQWXNEZ1BuQXk2MHVTQXk5VVdk | |
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297 | MGZhc0w0c2pxTUtwTncrcW1uOXVBRFlBeFRTaExNekRXdDQ5RnVKOGg3VDNnCjdlRHpBTU1KL3dl | |
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298 | OG03Rnd2WUgzSThkNkFSOEVuL3RTMmVUd0FmQ200UnpSTXI4YmxDbE5ubEZLcUs2dVZGK2pQRm1M | |
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299 | NUJISDIwSCsKY1hRQmY4aWxSTVZ4SUhBVHlicEpRd243NkxPNm5jVmhrenNVZUFDdGUvUUVtcTBm | |
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300 | MFA4NnFXM2I1SkwwOHdHS1FQc0U4SHVIUFBJZwpqL3JtMGg1L2ppcS9DaG5MK2NEM2c3UmhLQ3hw | |
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301 | U1pEK0N2QmIwdm01MWdhT0JhNEJGZ0MzQjNrY0hxVHZnNlpUSWQ4RDdrR1ZYd1hzCllEam5MNEhY | |
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302 | Z3ZSbHdMY05NdHVqS2VjTndJK0NmT2NCTzFuS09UazQzMnZBZmNCY0t0ZGxPWXBldVJHNFB5amJz | |
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303 | ekYxenNxR1ZPcTkKRWxpRTZqbzNlQzBQMHZaTk9FOEpXQUhzbDdFY3pmQUJsNUR2dDYrRDdIYUI3 | |
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304 | TjNBUW1BYWFsY212bWs0TmhrWnJLbkJiNCt5L0RaSgpiaUJ3aGtONWk2YWQ5Sk5HTjJEV1Q4aG80 | |
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305 | Qm1Ic3Rua1hQUXpEYmpGSVkrOGFLUyt1YmZIWFpFQm1XWkpQeXRJM3ovTlNZRTlnS1hBCmREUmRD | |
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306 | dDFIdllGelVZTjlDOWc1OHJ2MTBXaDBGZkJUeTdrUFE1MVVsRDVvRWZKaFlHUWs3Wk5vTkh5czRY | |
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307 | ZjNBS2RRNitJNk1pakQKTVJIWlNhaGg1ODNSd0J1WURkRWsxS3RmNkhDZTBhamNRektXb3htR1pH | |
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308 | L2dhdzV5MjZMQnhlRGcrM3FvazMwaytCeWxIUG0rUHhvTQpmQ2o0UGdCWURCeWNVZTRjc20yckwx | |
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309 | SGZ6clBTTHZwSnF4dW8xdzlvZ0RNSitCY2F6Tmh3a1V2U3owSEJiNXZsaGlzYmpyblVvNUQyCmVD | |
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310 | WXlESHRhMHU5QjB6ZlgzV1VsWUFid0R2YlJVd2w0Q0hpVmVsZkY1NUZDbmtDR3I4UHcrOU5RUTZ1 | |
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311 | bUZ6TCtOMkd2L1BuQk9ZZFYKSFZzZmM2ZHhOYm91MFE1aktQQUR5L2tiNFJiTU91aENIZFIxdURY | |
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312 | UVE5RE1KQzJiQTJlanFlRFRhRFNTdGJQNGNFTDZQT0pIZmlGMwpVYS9uQ1VndkZ4amt5NUh2ajZC | |
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313 | RnVHb3VRZGRuclF4eW81QkxJeTBkYUZiWUNPMm1uN1M2Z1hyOWpFVzNLVGdkZUJTNzRYT1ZTOUxQ | |
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314 | Ck5rSDVCc2ZJNUVrNTh0MjFIb1cweHp1UTIyWXRROXFheUUvK3FPdkpVTnl0eXd4Z0t2QXJ3L0Va | |
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315 | YU92eXNjRjVUakxJektKMjlGMUMKby8rbG1EdUdrUEhCT2Mrck9uWWNHdTFIV1FLOGFEZyt4bEtt | |
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316 | UnVpSHRtcEgyUnk1WWViajV1WUFPSkZzZnVRK2FEcFkvY29Tb1hBUwo4SGZzTWN2anFMMytOa3JJ | |
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317 | aGZVRXVqNGhBOURBdytSbkxWZDlIby9aMVJVYW93a3A1VUt5aktiek1QVHRwSjhzdWdIekNEZGtI | |
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318 | dkVqCmVsZTVPUDBNUnpvZDVaQlBIcFJqMG16MUdFOEQ3ZEVXZGRNYjJBVXA1aTFEK2xqVUFUd1FV | |
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319 | K0JxdGtVKzg3dlJ5RHFPcFdpMkVHVXcKOEJJd0d6V21xS3NsckV2MUFzVTA1R3FaQXZ3M0lVK29W | |
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320 | ZlIvZ0hzamNoc0RJNEFIRGVkWWlmdjFjT1VqeUoxVnpmcG9iV0U1VW5yYwpnbk0xbldpbWxKYjNn | |
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321 | TmNqcjdRTGNZY0JmMFVkOVFFV21STlJaNTdFS2pSZEhVR3RNUWtYbzIzdWdaQnd0TGs0Y3Z4dndY | |
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322 | dFhTcm1RCnA0RXRFdkl1Z25iU1Q2TzZLWkk0L1lUL2k4NG1sU1VMRGJWSFc5VE5kc2dsYzU4bGZm | |
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323 | ZmczZFd3WFkxR0NtYzd5QzVDZnFwcU9wRGgKQlRYazJXakV2VHZ5QjRLbVgzK3MrczFRMURoZlFB | |
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324 | dERjWVJ1bU9yUnpIVUd1WEhCdTZuZWYwbklJd3ZMZ2xkSWZ5clQ1NCtqaFhCWApPb252N0lwa1Z2 | |
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325 | QitLM0FDbXFaV3N6MmFiYmpXWnljMDBLanV1RFpEK2t1S25OZ3dlSDhqY2p6OHZrRkt1WkM1YU9v | |
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326 | OU5TSC9kaVJQCi9UU2lteUtKMDAvbzBuUXg5SGRTYVJzdXJFSSs5RWJ0UTBQdDBXYm93OTVoQXVh | |
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327 | SWxMR29BaTZHZmpBeXdndHdVL1JqaG1PN0lUZEYKeUErUm9UK09pcUVmRnluUEZGUy9tU1NIejIw | |
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328 | WnZDOU1rQXV2Uzk0amR4ZkN0WVpSYUVFNzJyTW5zVGIxamFUWlhJWmNVV09RdnpIawpWR3FqckpK | |
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329 | NEozaFZNd1dOR2k5SytHM1NINllqcFZ5SXpjM1puY2hEUDQzb3Bramk5UE0rbW5XNHJEZCtPcmNT | |
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335 | SzZIRmtFZnBQbGJ2MDlHYnFnejBKUXNaQUR1STR4WHFJUmwKbVNnVjlJcHlPWXFlQ3YyMXA2RjlF | |
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338 | SmZwLzVXcS8yUlh6N0tYT0JTCjRNc29TdWZwU1BxTHFPTklHbVdGY2ZKSEpzaTJ5bTJ6SDNBeGNs | |
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339 | ZEYveXlIVXE5Z0d5dUlqenhxRmpPQjd5Qzl6VUtEaHF3YnpYb2gKZi9KczRMdU92d24vTUozVVJq | |
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340 | ZUVZWU12cDVRTEdZRjlVUEVVV3ZlSzBvSFdyeWJHbHJpNTVLV2ZMTG9wa2pqOWhJWitoY041NXBI | |
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341 | ZQpSMzhJV3V4dWhEemJJd0RIQjRXejdhQzhPVWczVmRaMFQrek5pWStoRGRrRzg2YWxQYkh2dXIw | |
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342 | d09QZGRWTnd2SVpjRWFWK0t5WE5YCkZGVVVqVTAxTVFQN3J0eVFOUGNFM3hRdFRoOFg1RytLU0Jp | |
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343 | TFpsVzJKMEV0b05idkdKZi9GOGdXZFZNRTAxRW8zeFdZRGFBcmw2S08KdXBvakRITGxxcy9yb09s | |
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344 | dmRHL0NVZFNHcWJuS2dkYXg5bkVzY3pWNWhGY1dRUjc2Y2RVTkZCOWVtYVNmN1pGT0J6bmtrd2Zs | |
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345 | bURSYgpQWEp2anpjRVA3U0ZRdjJiK3Q0cDZaN1k4NUh2ejdiWXNRMktkemR0YURvUEdVVVRJNmdz | |
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346 | cFBTTHBPMk1GaVJ1dFB4Mk5Jcmt1UWEzClJiUkZtRGR5UWJaN2dqK00vSjhBbjZJK1h2NmpLUHJv | |
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347 | TVRRRmpqSVozUXJCTmYrdGtWNDNkaXhma1l4RWpmYjJCczV4UE9hdDNxWmQKMCtYSTl5WElFRlV6 | |
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348 | QjdsTXNzaWRTN2JZOVhZMTlJM3FKNDF1b0hoRG42U2Z3M0R6T09SRk9TWXRyaDY1dGNmK3lMZzha | |
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349 | MGtmZzR6RgpWWlowMnpic2djZ2YrUkMxUm5zd3VwVkEyVkt3SVdoS0V0ZlQzbzQ1cmgyME9Xc2x0 | |
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350 | UTlJNkVBTFRjOGkxNGNMSDBNZGlpbSt2eHJYCmJlaGQxRjdqTmRESWZXand2Uk9GWTcxQTdXNjlQ | |
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351 | dWo2blkvMGNFU0svRXVvQVdXOTEwM2UzSWhtVkZuWUc3WFQyWkhYVGNEUERQTGwKeVBlSmFKb2VQ | |
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352 | a3B4Q09yMG96SGtMbklkS0NvbEMrMXE2Q0c3ZnRMcUJ1eUdyemVLaEZ1SjlwVFlpSk56MGM4TWt2 | |
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353 | ZjM1RW5aY2p5cAp2ZzIzeDJISTk3d1krY05mUlZFdFU0TDB6eUkzd1QrQzlKZlFZbXkwSWNRWm1n | |
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354 | SElOWE10R3MzT1JLNFgwOE9GK3diNXZScms5enoyCkcvWHNSZnlETkhaRHZ1MnJnSitnVWNVeEpH | |
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355 | OFRINDVjUXZjaGYvL3I2S0xPQjM2TnBudFJYQTM5MGRSM1RzdW9kRWcvRHZKYmpCUy8KRUkzc1Yx | |
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356 | RFpGTE9DK3NhUWxQL05KTHZRb3F3TGZBdk5HSzVIdnR0VzBoZlYzL2JzVVZNNytZcmgyTUdvUHRP | |
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357 | UlVUdkVrbCtTM0NTeQpUL256TVBUdHBKOHN1b0Y2L1l5azFoNjlqbXpQUW1TTDBzaTU2R2MrOE5V | |
|
|
358 | RW1UekpXbDhvdGowNjA4eW4zTFFqcnZVL2cvcE5YTThpClAzcVIrWjlDK2h1dnpVREdCTlN4ckNE | |
|
|
359 | OTgyWTladnFqUmZaRzhQcHBqRFdRWWQweFNiQTc0eDg4MGhxZW96NjhiUURGaDNmOUF1MHYKU0hQ | |
|
|
360 | enByMm9MSVl2UitzQWUrVmNycDdLbTJneHZoRzhmaHBqSWxwNFRuUGZybTZITi9TdFlSRzFXNWI3 | |
|
|
361 | SWIvODBvTHpYWVlXYjlKTQo3L2RCTHErUUlkalhjRHpOeCt1bk1hWWdGN0xMdzJlNkxkN1FGODlX | |
|
|
362 | d2F1YUpXaGpXTGlvc2p2eTJSZHh2NXdvRjZFOUE3WmQwVkdlCm9YS2ZvWDNSSHlLNjh1OXBIVjQv | |
|
|
363 | MmRrQ3JjVkY3KzNqc1pEblBiRzdJM0gxdnhqZHRqWEtybWpSOVJqMHg3U0ZrRGFhdjRrNUtLUXMK | |
|
|
364 | RFNOUmhGTXI3MERvc2VQMWs1NHJhZHgxMXFQSTY1N1kzWldrK3NkdDJzcmpxVFpwcjM4bmlud2E3 | |
|
|
365 | bmorUWVpV3orRitneTFqWkQzTgp4K3NuUFJOUjFFcFBlN2k3cDBDaWp4MXNCelpGRDVkSmV1UllK | |
|
|
366 | d3JKM0FqdGhoNkNRdms4N1lIWFQzcUdvdWl6L2ttQ0hvOHI0Mm5mCkVkWWUxRC9ZSk1yOTFNZER4 | |
|
|
367 | ODFRUE0zRjZ5YzljNmlzajNrOHVlQ25oaDZQeCtQeGVEd2VqOGZqOFhnOEhvL0g0L0Y0UEI1UEQr | |
|
|
368 | VC8KTDVLMlhIQlkzbllBQUFBQVNVVk9SSzVDWUlJPQo= | |
|
|
369 | </png> | |
|
|
370 | <latex>$$H_{1} CNOT_{1,0} Z_{1} \left(\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|11\right\rangle }\right) = {\left|10\right\rangle }$$</latex> | |
|
|
371 | </output> | |
|
|
372 | <output> | |
|
|
373 | <output_type>display_data</output_type> | |
|
|
374 | <text>β β½β½β½ β½β½β½ β | |
|
|
375 | ββ²β± 2 β β00β© β²β± 2 β β11β©β | |
|
|
376 | H β CNOT β Z β X β βββββββββββ + βββββββββββ = β11β© | |
|
|
377 | 1 1,0 1 1 β 2 2 β </text> | |
|
|
378 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVpFQUFBQW1DQVlBQUFBRm1hWXVBQUFBQkhOQ1NWUUlD | |
|
|
379 | QWdJZkFoa2lBQUFEaU5KUkVGVQplSnp0blh1MFZVVWR4ejl3TDNDNVNKQ0ZBWWFvRmJsMEFhYVFE | |
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|
380 | eFR3cmFra2lpV0Zqd3dSTExPSDcwU3RXSm1LbVpZUzV1T0tvS2JtCmtudy9LaFVUVXhNRlV3aEZZ | |
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|
381 | S21VcG9XSWI2VS92bnM2Kyt3emUrL1orN3h2ODFscnI3dnVudG56T0wvWjg1djV6VzltZzhmajhY | |
|
|
382 | ZzgKSGsrRDBncDBxWGNoUEo0YTBxM2VCYWdsWGV0ZEFFK25waDI0RWVoZDc0SjRQRFZrSCtEMGVo | |
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383 | ZkM0MmwydWdJM0FEdlh1eUFwSEZUdgpBbmhpYVdiWlhBUWNVdTlDZUR6TnpIbkFxZlV1UkFyOWdl | |
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384 | dUFEUlc0UEpXbDJXWFRBMWdBYkYrbi9EMmVwbVlzOEdleXJZVWNRZTJWCnpybkFGMnVjWnpQaVpa | |
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385 | T1BJY0F5b0tYZUJha21mazNFVXcxT0IzNkIyeWh3SkhBbThCMWdvMm9XS2tKZjlKSS9Xc004bXcw | |
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386 | dm0vTDQKTzdBVU9LemVCZkY0bW9udGdUVms5MUM1SEpoUitlTEVNaDNZbzRiNU5UTmVOdm5aQjFo | |
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387 | Q0ovWlE5RE1SVDZVNUZYVTY3OWU3SUFtMApBenNDZjZoM1FUd2xkRGJaM0FPMEFRZld1eURWd2lz | |
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388 | UlR5VnBCNzZNRmtRYm1TbkFiK3BkQ0FjNjdlZzFnV2FSRGJqSlp3UHdXMkJpCmxjdFNDNnoxalZN | |
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389 | aWJjZ0dHcjdhUXVHOUxPSGxiTEN4TFR5Rnk5WWpsRSs3WTVsNzVNZ3pTaGRLNjVsMHRkbVRLWnVl | |
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390 | RG5tM09xVFQKWW5tdVp5aThxeVU4eTBCakorQWRaQWR1VkxvQit3SHpLNWltN2VWeVZRQng4VnBw | |
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391 | Zk8rMlNsTXIyWVREWE5xM0xWNFcrVHdPN09vWQp0MXhxWHQrNEJLOEVIZ1RXQWE4QmR5R1hUWURC | |
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392 | U0xNdURzSlhBYmNDUnprVXp0QWJtQXBjRFN3TW5uOElPRElJSHdlY0dJby9BN2dGCitBK3dIcnZi | |
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393 | M0hYQXkwR1psZ0puV2VKc0I4eEJHK0F1QmU0QWJpUGVDMlJ5a043TFFid09Dci9MU21CdVVJZmJn | |
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394 | N0l0aWE5eWJ2b0gKK2ExRGF3MExnR3VDc25RRTVWZ0g3TytRMW1Hb3ptc3AxT3VYb2ZDOWdCVVU1 | |
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395 | UDRBVWd5dTdBb3NBajdLOEV5dE9RS1lSL3lpZnh0dwpQbkEzOEFUYTY3SmJTcG9uVXhpVWJJbmE2 | |
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396 | a3pVQmk4RUJscWVTWXYzQVhvL3F6VXdhVVRTWkFQWjVST1dUWmdXMUdla0xYckh4Y3NpCm44ZUJU | |
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397 | WUV0SE9LV1N5UFU5MytNUXNLY0dSTitSaEIrY0paRWdkMVJ4M2NoTUlLQ0ltc0Jmb1RzNlc5VDJu | |
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398 | bHRBandXNUhsRlROcUgKQTlkYTdyZWlqdmRSNExPUnNEM1E2SG1xNWJuN2dPOVRyR3lQRHNwd2JD | |
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399 | VHVST0RlbUhLVncyU2tPTDlwQ1p1SU91eWZaVXh6T3FxRApUZEhPUkNQQmpUT21DZkJINElJY3ow | |
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400 | RnRGbSs3b3M0bmFkWjJCekNld21qc1RPQmQ0S3NKejV3UnBObUtsSEJZVnFjaHhSL08welhlCjUx | |
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401 | R2JMb2VSbEg4TVI2UElCckxMeDhqRzBBMzFiVGVnZDJCU3pITXU4YkxJWjAyR3VPWFFLUFVGTkhY | |
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402 | WkFPd1pFMzRmOENId01jZjAKdXFCZG5POWg3eEJObklmUlNEbXFUU2VnaHZJVTZsVDdXcDQvQ2Rn | |
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403 | MmNxOHJVaXczRS84eXpRalNIQnk2dHdsMmhkU0JmcGVvTXRvTQp1Q1FtL1hLWWoxMEdvNUh5dTU3 | |
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405 | CkF5Z2RvSFJGTTB4Ym16U1lGM2NTNnREQzdyQ2JvZmJ5N2RBOTEzaFFmdWZkQVd5ZTg5bEdrZzNr | |
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406 | azArMFU3ME16V1RPSjdsVGRZM24KS3A4L1ViRG1WSk5HcVM4QWQ2S0czdE1TMWgxNEMvaHJodlIr | |
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408 | WEFHOFpMay9JcVpNNWRDRzNVdGxLK0IxWkFKTVcvdUo0MlpVNTcyQy8wZWlEaWV2czBVWE5PVWRu | |
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409 | L0c1ClZrclhZZkpzemhvQ1BJMU1JbkhjaWIwOUczNEt2QWtjR3JuL2EvUmJ4Wm4yekl2N0pPb3Nv | |
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410 | anlEUnRBRzEzaWd3ZFB3aERLbjBVRisKSmRKSXNvRjg4b2wycW9ZOVNlNHNYZU81eXVjVzRpMG9s | |
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411 | YVRtOVkzck1GclFtVWQvUWFhbEtEc2dnVCtZVWlERHRxZ0IzSXM2cnlSVwpvbGxPbElGb1NqZ1gy | |
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412 | ZXlqNWlkVGw3QTlmaVlhR1IrSDFpeVM4Z1FZR3JyM2IyU2VDZk5wWk5kY1lFbGpIZTYvaHl1ZlJD | |
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413 | YStNSnVnCmp1WmZ5QlBxM1p4cHp3NytUa1hUMUpPUmlTN3Zla1lmMUc3V1puenVBOVF4aEs4UE02 | |
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414 | WXhHQTBFbGdISHg4VFpENjN4Mk5xellUa2EKTVVkSDIrdUR2LzBTbm0xQjdlZDVTOWdMYU9hWUpa | |
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415 | NWhQdlU3UTZxUlpBUGx5YWRhdU1wbkxmbE14STFHU1gzajdJOWZRR2FxKzJQQwp6VUtXYTZmWmdX | |
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416 | WXYweDNpTGdKZWlkenJpenAxVUVPZWkyWUt1MUVZMFExSGkvMkd6ZEJPMjlYSU1TQUpZNXJxSHJw | |
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417 | M3ZTWGVtT0N2CnJkN0xVdkxJdzR2QlpXaEhDL3k5a1MvOWEyV2tmUS9xdE1haGVoc1RTMTdNQzVL | |
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418 | a3JLdkZLalFkWDRiYTdJN0FJNUU0MDBnZmhWMkYKZnQ5WEkvZk40Q0pwQjNVL05KQlpid2xianpx | |
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419 | L1hraDJMdkZNK1B2SWJOa2JEVlNhalVySkJzcVRUN1Z3bGM5YWttZUVoeU5yVFJibQpZMS9YckNZ | |
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421 | U0htT1EvV2JRL3JvCmV1dmdiN1J4UnpHL1M2Vm5IQzZZdFoyaHlEbkJOcExOd2diMGNwK0RIQmF5 | |
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422 | emlDaW1PUGViWjFqclhnQTJjZVBwMWlXbzRMN2J6aWsKRWUyZ2hpQ3o1aFhBUHhLZTZ4LzhqVk1P | |
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423 | b01GUVA4ZDQ0ZkFGcU8zZG5wQi9vMU1KMlVCKytWUVRGL21zSjNuOStKcmdhZ2FLNmh0bgp6aHFE | |
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425 | Q0Y5TThOSWl6c2ExZmx2CkRtbFdtZ3ZSYjM4NGJuVktvenN5TXhwSGgzSTNucHBSV0srWThFcWN4 | |
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426 | dXB5T3V1dmtOMzJVNkY3MzBOcmFubjRPWElaUHpFbG5sSEMKdGdHTG1lRitTRUU1cE1VTHN3ZjJO | |
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427 | WlJLVVEzWjJPUlRhZG1BdTN5cWlZdDhldU91S0J1ZG92cmFPbzR1cU9OZmhCYlBvMnlQbE1nRApq | |
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428 | aG1PRFA0KzdSQjNBUEFKeS8zQkZOWXRESmNpYjZ2SnFNeXRTUEVaaklscVJVcWVuMEhLNkNXU08r | |
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429 | ZCthRUY3QWJVL1h2cTd5RFIzCkNuQlQ2SDR2cE5pejBoWE41aTRBZm9kTWYxOHFzNHhtUU5Fbkpy | |
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430 | eExGUzRiYzFGSGJWeXdoNlA5TUZFVHFRc25vUGF4TytsbXVsWEUKMi9UYmtXSjRCYzBnWGVJWmpG | |
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431 | Kys3VjBNY3pWYXNJOWU0OUFhbWkzTTdMZXFobXhzOHFta2JDQ2JmS3FGcTN6NlVKNzV1VkVvcWEv | |
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432 | TgpuRFVVMmJldmprbkV6Q3hjVFRyRzdQSlBoN2luVWJvcnNoMnRnMFM1Q2JtalRrSGVYTTlHd2w5 | |
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433 | Q1Npbk52R0wyZ1J5ZEVyZGVwcXp4CnFMT2ZoZHp2d2t4Q3pnWlptWW44d1I5RG5pMFRrV253dHZ6 | |
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434 | RjVBM1VBU1o1d2RXQ3Q5Qm0yYW5JVkhjaWNrM055cjdJbTJnTWJwM2MKUjJpR2Fsczg3WTNNTUdi | |
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435 | MjRSb1A1SWwwbzBQK1I4YmM3d0RPcG5RUVZnOHFKUnZJTHA5cTRTcWZQaVNYOCt0b1ZwYUZXeWwx | |
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436 | dktrMgpKZlcxelVSTVoybnpRQUxaTU1FK0U3RjlkK0QrNEcvYXgxbUdJeE5aVktQdmpIMnQ0ajNV | |
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437 | SUFlaHpqWGF1WnZ5eCsxekFkWGxhTlJCCjM1TlNQaGNsa3VXN0MwT1FvOEUwTkt1eWVaYnNnSGJ3 | |
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438 | M29YZHMrVW9pamM0dXVSL09qTDczUjM4L3lENjNmZWxlSitNamFUME55QzMKNDQrbnBGRUxMa0Vt | |
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439 | azFOUk8xbWQ4ZmxoYUVDekY0VVhmeXNranlRV28xbGRtQmJVOWhmbGlHZnliZVJqWkxKU3Jtd2d2 | |
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440 | M3lxZ2F0OAorcEk4RTVtSHRnbGt1V3F0UU1CU1g1c1NNZXNERDFuQ1FCM3Zjb29Yc1pLK083QVVy | |
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441 | VitNSjM1aGFYandyTTJQZWpUeHByUFphTlEyCmh0SkYreHRSSXowZzV0bGhhT1I5QTI1ZUVhUFJh | |
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442 | UHRKUzFpZTd5N01EZktlaGJ3c290NWdXNktSeGxLMHlUSnFKejhHeWVEdERQbFAKQ2VMUGk5eWZq | |
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443 | ZHJDbEpqblhOTmZUTUZKb1o2OGdCYjl6aWIreElVNEJxQVRBQTVCU3RFd21uUXo1bE5CdlBBMzVV | |
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444 | ZWdEdVQ4SFBHRwpZVzl2elV3NXNvSHk1Rk5wc3NobmF5VDNac2FwdnUxSXN6OFhFejRDQ2VxcW1Q | |
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445 | QzQ0eEUyUWpPRGg5RUkzREFRMlVmUHhyNkphUkRxCktBY2tsUGtPNG1kTkI2TUYzN0FpNll1bS9z | |
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446 | dHhjeXNFK0J6cXhHMzdWOEs0SGc4eG11TGZ1QnVhZ1puUjZjYklKWEkxeGVjcHRhTGYKYndhU3cx | |
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447 | R08rWDhNalFEam5CczJSY3A0RGZFTDQwbnBHODdFZmEyczJ1eUpGSFVXZWxHWXBjME5YZGVpdGJX | |
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448 | NDlSNnp3V3NqcEVqRApKcG9yMFNBcWpHdThzeWoveUpJTzhtODJyQlo1WkFQNTVCTzMrVzRTZW9m | |
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449 | U1p1NUo4VnpsczBXUVJuVDJXUTNxVnQvQnlLenhQRnAvCldJc2E5SEZCK0lGbzBmbmxJSHdONml4 | |
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450 | R1JkSko2bVI2SVZ2b1BPVFBQUWVOS0tLYnEwQzdzQmNHNVhnVExWcWVFcFB1ZnVpSGkyTVgKTkxx | |
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451 | N0NoMHhmUVZTWEduSE4yeU9HdXY5YUgzbFRiUlg1U0ZrK3RyTzhveXJFcGxNcWVKN2tZS3l1eXpJ | |
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452 | NzNsa3luc0V1VDYvVG1IVAoxK3RvTTJKUy9qMHAvaDNmc0pSdkFub0JUYnFyaWQ4UW1sYS9zVUVl | |
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453 | V1QyOURrV212WXRSaDJCenJxZ0Y1c2dIMjVXMDlqU1ZRcDAzClE3UEx5NUVjTDhkdTRrdUwxNHBt | |
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454 | ZnVYU1FYbEtwRkZrQS9ua0U1WU55TXZ4Q2ZRdW0zZGlNZXFQeUJBdmkzd21vRDZzRmpSQ2ZjdWkK | |
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455 | MWw5QWF6UmM2MzhLcFJzZ2x3TmZxMUgrMVVxL0RXMVkzQ1pEbWlNcFBpL3FZaXJqd3V3UjUxSHNV | |
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456 | cHNGTDV2S2NDNmxKdVJPZy84bwpWWDJJSG53SW1xazF1d3ZnTzhobE9Jc3lISWtXU1ExM29WM05q | |
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457 | YkJBM3hrNEdUZlBTQnRlTnVYVGdyd2Y4NWp2bWdLdlJPckRJb3BICmgyMW9IV1JsWFVwVFdjNUJt | |
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458 | eGU3cDBVTTZFQW1TY01nNU9aYUw3OS9UNEVPdkd6SzVRQjB6dDJkOVM1SXRmQktwUHBzUTZsNVp3 | |
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459 | V3kKTFc4YS9MOGJXaU9weHZsYnRXWUoybjh5d1RIK1d4VE9QT3VCN0s3VHFMMm5qYWNVTDV2eW1Z | |
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460 | WUdWcDRVS3ZuZGdXWWtxZjRYWUhmdApHNFVXVkk5Rm15YUhXT0pVSXY5S2tEWDluWkRMZGRaQnlp | |
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461 | eVNQLzdrcVI5ZU50a1poamFXK3NHNkE1WDY3a0N6a2xiL2J5UThtL1dEClVubnlyMGY2MDVIcnRp | |
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462 | c25VZkQyMnh5NW0zc2FBeStiN0xRanI4cWhhUkU5SGhlaW45TDlmMkVPY3Z0TjR4aDBxRnYvNERx | |
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463 | WDlNK2sKZW1xRGwwMCtaZ1A3MTdzUW5zN0JXQnBqRjNjOTZJSE9PRXM2VCt0Z1NuMyttMzFuYjJm | |
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464 | Qnl5WWY0OUdocVI1UFJhaUV1Y3JqOFhnOApIby9INC9GNFBCNlB4K1B4ZUR3ZWo4Zmo4WGc4ZGVL | |
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465 | L0E2bjMvdnVXdlNFQUFBQUFTVVZPUks1Q1lJST0K | |
|
|
466 | </png> | |
|
|
467 | <latex>$$H_{1} CNOT_{1,0} Z_{1} X_{1} \left(\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|11\right\rangle }\right) = {\left|11\right\rangle }$$</latex> | |
|
|
468 | </output> | |
|
|
469 | <output> | |
|
|
470 | <output_type>display_data</output_type> | |
|
|
471 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUo4QUFBQ09DQVlBQUFBdmtkcmVBQUFBQkhOQ1NWUUlD | |
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472 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUJ0cEpSRUZVZUp6dDNWOUlV | |
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473 | MzBjeC9IUFdiVm84aVNOMmxaSWd5Qm9XTWlDTEhSclEwcEJyd3FDCkxyck1yQzZxaXlDaWl5NGxT | |
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474 | UHBqekNUb29xam96OVdDaXY2d2xhNGlpelJ6VVJEUklRaktpaHhyV3VHdmkrZEpxdjNSWnptLzJ6 | |
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475 | bWYKRjV3YmZ6cStCOStkYzNZYUhrMHBOUVRnSHhCTk1VMHBwYVNISUhPeVNBOUE1c1g0U0F6akl6 | |
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476 | R01qOFF3UGhMRCtFZ000eU14akkvRQpNRDRTdy9oSURPTWpNWXlQeERBK0VzUDRTQXpqSXpHTWo4 | |
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477 | UXdQaExEK0VnTTR5TXhqSS9FTUQ0U3cvaElET01qTVl5UHhEQStFc1A0ClNBempLd0YydXgyYXBo | |
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478 | VnNzOXZ0SXZ2RnY5VlNBalJOUXlGL1RZVisvV3g0NUNNeGpJL0VNTDRTdDM3OWVuZzhIbGdzRmxp | |
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479 | dFZuaTkKWHJTMHRBQUFYcjkramJxNk9sUlVWTUJpc2FDOHZCelYxZFVJaFVMQ1UvOUhVZEViNzlk | |
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480 | MC8vNTlwV21hMnJWclY4YjExdFpXcFdtYQp1bkRoUWw2dlh5Zzg4aG5BblR0M0FBQ05qWTBaMXlP | |
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481 | UkNLWk5tNGI2K3ZxcEhHdGNwb3R2YUdnSS9mMzlTQ1FTMHFOTW10dTNiOE5xCnRjTG44Nld0ZmZ2 | |
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482 | MkRiRllETXVXTFVONWVibkFkTm1aSmo2bEZQYnQyd2VuMDRuYTJsbzRuVTdzMzc5ZjVCYkRaQm9k | |
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483 | SFVVc0ZzT0sKRlNzd2E5YXN0UFdlbmg1OCtmSUZxMWV2RnBndU45UEVkL2JzV1J3NWNnVER3OE5J | |
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484 | SkJKSXBWSm9hMnZEcFV1WHBFZjdLMzE5ZmZqOAorVE9Dd1dERzlVZ2tBZ0FJQkFKVE9OWEVUSmNl | |
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485 | WUtxMHQ3Y2ptVXorOXJWa01vbWpSNDlpdzRZTlFsUDl2Wi9YZTlldlg4ZkRody9UCjFudDZlcUJw | |
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486 | V2xFZStiSyt6UUhBcllpMmJOYXRXNmRtekppaGtzbGsydHIzNzkrVnpXWlRsWldWT2Q5MVN1MVQx | |
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487 | dE91VXNwUTI0RUQKQjlLdWlXdzJHdzRkT2lRKzIzaGJydDlSVjFjWHFxcXFZTFBaMHRZZlBYcUVW | |
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488 | Q28xb2FPZXhINlo1cHB2NTg2ZHFLbXBRVmxaR1FDZwpyS3dNZnI4ZjI3ZHZGNTRzZi9GNEhCOCtm | |
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489 | SURmNzgrNDN0M2REYUE0ci9jQUU3M2htRGx6Sm03Y3VERjJBUjZOUm5IdDJqVllyVmJoCnlmTDM4 | |
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490 | M292MHkwV0FJakZZZ0JRbk5kN01PbW5XcVEreFpHdmJQTnUzTGdSRnk5ZXhOdTNiK0Z3T05MV1hT | |
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491 | NFhacytlalJjdlh1VDEKK29WbW1pT2YwWXlNakNBYWpXTFJva1Vadyt2cjY4TzdkKzlRVzFzck1O | |
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492 | M0VNTDRTbytzNkFvRUFQQjRQM3I5L0QxM1g0ZlA1Y1B6NApjUURBNWN1WFVWTlRnN1ZyMTBMVE5J | |
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493 | VERZUVNEUWR5OWUxZDQ4blE4N1pZQWZwaVVhSkl4UGhMRCtFaU1hZjV2dDlScG1sYXcxNTR6Clow | |
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494 | N0JYanNYeGxjQ1N1bk4wZi9CMHk2SllYd2todkdSR01aSFloZ2ZpV0Y4SklieGtSakdSMklZSDRs | |
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495 | aGZDU0c4WkVZeGtkaUdCK0oKWVh3a2h2R1JHTVpIWWhnZmlXRjhKSWJ4a1JqR1IySVlINGxoZkNT | |
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496 | RzhaRVl4a2RpR0IrSllYd2todkdSR01aSFloZ2ZpV0Y4SklieAprUmpHUjJJWUg0bGhmQ1RHRlBH | |
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497 | TmpJemczTGx6Q0FhRGNEcWRBUDU5TkZSZFhSM09ueitQcjErL0NrOW9Ub2FPVHltRnRyWTJ1TjF1 | |
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498 | Cm5EeDVFanQyN0VCdmJ5OEE0UEhqeDlpMmJSczZPenZoZHJ0eCtQQmh3Lzd0NDJKbDJDY1FqWTZP | |
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499 | b3JtNUdVK2VQTUhwMDZleFpNbVMKc2JVL243Z1RqOGV4YWRNbVZGZFhJeFFLd1dJeDlML0pvbUhZ | |
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500 | K0hidjNvMEhEeDdnNnRXclk4L1kvU25UNDU0U2lRUWFHaG9RQ0FUUQoydG82bGFPYWxpSGo2Ky92 | |
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501 | UjBOREE1NCtmUXE3M1o2Mm51MVpZNE9EZzFpNmRDbWkwZWh2UjBvcURFT2VYMEtoRUxadTNab3h2 | |
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502 | RnptCnpwMkx6WnMzbzZPam8wQ1QwYThNZCtRYkdocUMyKzNHd01BQUZpeFlrUEY3Y2oxbFVkZDFl | |
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503 | TDFlNkxxZWRycW15V1c0STE5M2R6ZVcKTDErZU5ienhMRnk0RUpXVmxiaDM3OTRrVDBaL01seDhu | |
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504 | ejU5R3J1WGx5K0h3NEdQSHo5TzBrU1VUZGJUYmlFZk5FY0U1RGp5S2FWSwpjcnQxNnhaV3JseVo4 | |
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505 | M3ZHMnordjE0dXVyaTd4ZlRINlpyalRycy9uZzY3cmlNZmplZjE4YjI4dkJnY0hzV3JWcWttZWpQ | |
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506 | NWt1UGlzClZpdWFtNXZ6dmwzUzBkR0JscFlXVEovT3A4RVdtdUZ1dFFEQW16ZHZVRlZWaFZnc2x2 | |
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507 | Rm1jYlpiTFFNREEvRDcvWWpINDNDNVhGTXgKcXFrWjdzZ0hBQlVWRlRoNDhDQWFHeHZ4NnRXckNm | |
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508 | M015NWN2MGRUVWhQYjJkb1kzVlpTQkhUdDJUTTJmUDErZE9YTkdEUThQajMzOQoxOTFPcFZMcTFL | |
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509 | bFR5dVZ5cWM3T1Rva3hUY3ZROFNtbDFNMmJOOVdhTld1VXcrRlFlL2Z1VmVGd1dBRlE0WEJZN2Rt | |
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510 | elI4MmJOMC9WCjE5ZXJTQ1FpUGFycEdQS2FMNVBuejUvanhJa1RlUGJzR2E1Y3VZS21waVo0UEI1 | |
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511 | czJiSUZpeGN2bGg3UGxFd1RIeFVmUTc3aG9OTEEKK0VnTTR5TXhqSS9FTUQ0U3cvaElET01qTVl5 | |
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512 | UHhEQStFc1A0U0F6akl6R01qOFF3UGhMRCtFZ000eU14akkvRU1ENFN3L2hJRE9NagpNWXlQeERB | |
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513 | K0VzUDRTQXpqSXpHTWo4UXdQaExEK0VnTTR5TXhqSS9FTUQ0U3cvaElET01qTVl5UHhEQStFc1A0 | |
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514 | U0F6akl6R01qOFF3ClBoTHpBM3FpQkxJVnd1UkNBQUFBQUVsRlRrU3VRbUNDCg== | |
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|
515 | </png> | |
|
|
516 | </output> | |
|
|
517 | <output> | |
|
|
518 | <output_type>display_data</output_type> | |
|
|
519 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5jQUFBQ09DQVlBQUFDaS9KMktBQUFBQkhOQ1NWUUlD | |
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520 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUNaQkpSRUZVZUp6dDNWbElW | |
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523 | RTUKem55YmM2YXhEQkZwQnVBREl1cFhob2lJMlVNUXVTSTNzd2NnY2xXTWkwZ0o0eUpTd3JpSWxE | |
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538 | OXZQbURFRGZuNStLQzh2NytmSmRHM2R1aFdGaFlWb2EydERTMHNMbXBxYXNHclZLdFRVMUpnOTJs | |
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545 | NjlDaUNnb0xnNCtNREFCZzZkQ2d5TXpNUkdSbHA4bVI5OStUSkUzejQ4QUhSMGRFMjEwdExTd0VN | |
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557 | UktHQmVSRXNaRnBJUnhFU2xoWEVSS0dCZVJFc1pGcElSeEVTbGhYRVJLR0JlUkVzWkZwSVJ4RVNs | |
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558 | aFhFUktHQmVSCkVzWkZwSVJ4RVNsaFhFUktHQmVSRXNaRnBJUnhFU2xoWEVSS0dCZVJFc1pGcElS | |
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562 | NXBTYW01dVJtSmlJCjhlUEg0K0RCZy9EMzkvK3haaGpHajFjckVjSE5temV4Y3VWS2JOKytIUnMz | |
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563 | YmpScjVFR0hjVG1oOXZaMkpDWW1ZdUxFaWNqT3pvYWIKMjY4bklEL0g5YitYTDE4aUppWUcrL2Z2 | |
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570 | K2Y3L1cySW9Lc3JDeGtaR1FvClRFYS9ZMXhPS0NNakF6dDM3a1JUVTFPdnRpc29LRUJ6Y3pQaTQr | |
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580 | </png> | |
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581 | </output> | |
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582 | <output> | |
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583 | <output_type>display_data</output_type> | |
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642 | </png> | |
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643 | </output> | |
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644 | <output> | |
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645 | <output_type>display_data</output_type> | |
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701 | UEl5NHU3c3FhWVJpNC9MSWRIaDVHClhWMGRxcXVyY2ZEZ1FheGF0Y3Fza2FjY3hvT0NqdHZ0Um5a | |
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702 | Mk5wNTc3amxVVmxhT1dyODZIcGMxTlRXaHRMUVVqWTJOdU91dXV5WnIKMUNtTjhhQ2c4OVJUVDhG | |
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703 | aXNXRG56cDFlMTczRkF3QnFhbXBRVjFlSFk4ZU9CWHBFQXVOQlFXWmdZQUEybXcwblQ1N0VyYmZl | |
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704 | NnZVKwp2dUl4UER3TW04MEdwOU9Kakl5TVFJODY1ZkdDS1FXVit2cDZGQllXK2d6SFdLS2lvckJs | |
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705 | eXhiczNyMDdBSlBSOVJnUENpb09od05sClpXWHE3Y3ZMeStGd09QdzRFZm5DZUZCUStmUFBQNUdR | |
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706 | a0tEZVBpRWhBWC84OFljZkp5SmZmRjd6TUF4anNtY2hvaEFTNld1QjExSEoKRE9YbDVTZ3VMc2Jt | |
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707 | elp0OTNzZlhCVk1BT0hIaUJCNTc3REdjUG4wNlVDUFMvK0hiRmdvcUd6ZHVSRzF0clhyNzJ0cGFs | |
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708 | SmFXK25FaQo4b1VmMVZKUUdSa1pRV3BxS2o3NjZDUGNlZWVkWHUvajY4eWp2NzhmcWFtcE9IWHFG | |
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709 | T2JObXhmb1VhYzhubmxRVUltTWpFUmxaU1cyCmI5OE9qOGN6b1cxMzdOaUJvcUlpaG1PUzhNeURn | |
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710 | czdRMEJEV3JGbURSWXNXNGMwMzMwUkVSTVExNjk3T1BIYnQyb1ZYWDMwVlgzMzEKMVUxOVdrUGp4 | |
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711 | ek1QQ2pveE1URjQvLzMzMGQ3ZURydmRQdVozekhaMmRtTGJ0bTNZdVhNbkdoc2JHWTVKeEhoUVVJ | |
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712 | cVBqNGZENFVCVwpWaGJ1di85KzVPVGtvS2FtQms2bkV3Qnc0TUFCbEpTVVlQbnk1WWlPanNhWFgz | |
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713 | NkoyMisvM2VTcHB4YStiYUdnTnpJeWdnOC8vQkNICkRoMkMyKzNHMGFOSHNXSERCdHgzMzMwb0x5 | |
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714 | L0g5T25UelI1eFNtSThpRWlGYjF1SVNJWHhJQ0lWeG9PSVZCZ1BJbEpoUEloSWhmRWcKSWhYR2c0 | |
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715 | aFVHQThpVW1FOGlFaUY4U0FpRmNhRGlGUVlEeUpTWVR5SVNJWHhJQ0lWeG9PSVZCZ1BJbEpoUElo | |
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716 | SWhmRWdJaFhHZzRoVQpHQThpVW1FOGlFaUY4U0FpRmNhRGlGUVlEeUpTWVR5SVNJWHhJQ0lWeG9P | |
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717 | SVZCZ1BJbEpoUEloSWhmRWdJaFhHZzRoVUdBOGlVbUU4CmlFaUY4U0FpRmNhRGlGUVlEeUpTWVR5 | |
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718 | SVNPVi95UGJ3Z3RmM2dOQUFBQUFBU1VWT1JLNUNZSUk9Cg== | |
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719 | </png> | |
|
|
720 | </output> | |
|
|
721 | </outputs> | |
|
|
722 | </codecell> | |
|
|
723 | </cells> | |
|
|
724 | </worksheet> | |
|
|
725 | </worksheets> | |
|
|
726 | </notebook> | |
|
|
1 | { | |
|
|
2 | "nbformat": 2, | |
|
|
3 | "name": "dense_coding", | |
|
|
4 | "worksheets": [ | |
|
|
5 | { | |
|
|
6 | "cells": [ | |
|
|
7 | { | |
|
|
8 | "source": "<h1>Dense Coding\n</h1>", | |
|
|
9 | "cell_type": "markdown" | |
|
|
10 | }, | |
|
|
11 | { | |
|
|
12 | "cell_type": "code", | |
|
|
13 | "language": "python", | |
|
|
14 | "outputs": [], | |
|
|
15 | "collapsed": true, | |
|
|
16 | "prompt_number": 2, | |
|
|
17 | "input": "%load_ext sympyprinting" | |
|
|
18 | }, | |
|
|
19 | { | |
|
|
20 | "cell_type": "code", | |
|
|
21 | "language": "python", | |
|
|
22 | "outputs": [], | |
|
|
23 | "collapsed": true, | |
|
|
24 | "prompt_number": 3, | |
|
|
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 | "cell_type": "code", | |
|
|
29 | "language": "python", | |
|
|
30 | "outputs": [ | |
|
|
31 | { | |
|
|
32 | "output_type": "pyout", | |
|
|
33 | "latex": "$$\\frac{1}{2} \\sqrt{2} {\\left|00\\right\\rangle } + \\frac{1}{2} \\sqrt{2} {\\left|11\\right\\rangle }$$", | |
|
|
34 | "prompt_number": 4, | |
|
|
35 | "png": "iVBORw0KGgoAAAANSUhEUgAAALwAAAAkCAYAAAAzfFCFAAAABHNCSVQICAgIfAhkiAAABZRJREFU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\n0rjOgKiDGwAAAABJRU5ErkJggg==\n", | |
|
|
36 | "text": "\u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n\u2572\u2571 2 \u22c5\u275800\u27e9 \u2572\u2571 2 \u22c5\u275811\u27e9\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 2 2" | |
|
|
37 | } | |
|
|
38 | ], | |
|
|
39 | "collapsed": false, | |
|
|
40 | "prompt_number": 4, | |
|
|
41 | "input": "psi = Qubit('00')/sqrt(2) + Qubit('11')/sqrt(2); psi\n" | |
|
|
42 | }, | |
|
|
43 | { | |
|
|
44 | "cell_type": "code", | |
|
|
45 | "language": "python", | |
|
|
46 | "outputs": [], | |
|
|
47 | "collapsed": true, | |
|
|
48 | "prompt_number": 5, | |
|
|
49 | "input": "circuits = [H(1)*CNOT(1,0), H(1)*CNOT(1,0)*X(1), H(1)*CNOT(1,0)*Z(1), H(1)*CNOT(1,0)*Z(1)*X(1)]" | |
|
|
50 | }, | |
|
|
51 | { | |
|
|
52 | "cell_type": "code", | |
|
|
53 | "language": "python", | |
|
|
54 | "outputs": [ | |
|
|
55 | { | |
|
|
56 | "output_type": "display_data", | |
|
|
57 | "latex": "$$H_{1} CNOT_{1,0} \\left(\\frac{1}{2} \\sqrt{2} {\\left|00\\right\\rangle } + \\frac{1}{2} \\sqrt{2} {\\left|11\\right\\rangle }\\right) = {\\left|00\\right\\rangle }$$", | |
|
|
58 | "png": "iVBORw0KGgoAAAANSUhEUgAAAWUAAAAmCAYAAAAcPorNAAAABHNCSVQICAgIfAhkiAAADH9JREFU\neJztnXu0FVUdxz/3AhfiIVdJFFQwUTRIUaM0Ia4PaGmZpllk+Ugy9ILZw9UCn5XSQzOSQI20RLxG\nqYvVa4Gv0pJ8xSO1FAUVSxNLNEUyJbj98Z1ZZ86cPTN7zpkzcw7sz1pnnXtnfjPzm/nt+e29f/u3\n9wGHw+FwOBxV0wr0KFoJhyMHWr3PdsV2d8PbAPOBdxethMORA+8CbgBailYkT1yLq7m4GHgaWFK0\nIjF0AK8B/y1aEUcFzWabV4EdgMnAbwvWxeGoYDJwS9FKJNAKdGfwcWRPK3AHzWmfBcBpBVzX4Yhk\nMPAcMDDFMacBM+ujTiSfBKblfM1mxNkmHf1QD3G3ohVxOHy+BVxuKfs+4BJgOTCrbhqZWQr0yfma\nzYSzTfVcDHy/aCUcDlBM7RVgr5THXU++L/4xwIwcr9fMONukZ1cUYx5UtCL1xmVfND6dwEPAM0Ur\nkkAncG3RSjiMbAu2WQ/cCXyxaEXqjXPKjc+ngUVFK5HAOOBR4PWiFUlgu0qt8mgW20CyfRYBJ+eh\nSE4Y7zfKKfcB+oc+wXhUP8P+XjUoZ0rNC+rWO3CdvpY6967immFaqLzPuE/WMbt24D3AnzI+b9Z8\nCZiTw3VsGxFRchdlpUgTkZdtfHrWIJdkn+XA3iiU0QjUpTxGPcCfAPsBBwFvI6ewEjgXGA5cDYxC\nyd2voJr4p8B1lkoOAD4DfAAYSSkf8TrgRuA47/pXePKzPF0OR850LLAidM5FwFHeuV8AFgIXhGQO\nRoX0HZ7eewBbgUuBhw16ngn8CNjo3f/LKLZ7ELABWAZsAd6JWiTPAvtYPgMbxgObgCczPGfWjAH+\nAfwrRmY6cAKqzP+NbLXQIDfJ2x+shAYCV6Hc2hdRTHEBsCp0rI3cWlRuH0+6qW0EG9tAbfYJMgPY\nBfhKwvWi5JLs8zwKY3wQuDXhGlnQcOVxHMpJvDJi/0Xe/hNtT+hxJLAOjaSOpVSL9AC+gQZB3kQO\nO8hg9HC6gR9HnPtUVDmE6QnchBzv3qF9R6EHd7bhuLtRwQnWdFM8Hc4KyZ4M3BWhV7VcAfy+ymPz\nGky6CVVuUXwTZRy0ef8fhypCk25HA4eGti2mPB46CVW6g6uQa0Oj+NWwF9m10BrFNlC7fVqAA4Bv\no/fiqojr2MjZ2OfX5Nfyb7jyOBM9vIkR++9GrcQdLM/Xgh7m28DnYmTuR7OOwuGFk9AEikdQ67Hd\ncPxXgQND21qRo15MdIhllnfO4YFtgzE7+AXouYSd+zDUg8iSpcA1KY/ZDxn6OeAJ4EKSX8woWjE/\nZ5+9kYOJYnc0SBnuvi1EzzA8XTz8EoxCDuKwwLYW1FpaUIUcwPlEh8DiOAeVwVpoJNtA7fYB+Ymr\nUQ80zinbyiXZ57vA72L2Z0nDlcelwFuoqx+mDfgPlSGEOM7DrmV9GfArw/Y5wBDUou3GPAp7E+UF\nrAW1qtcRX4AP9855aWBbJ2pFh3kG1XhhxkboVAsPo5ZMGnpSGeuuZjr9jmg69w9iZOYjRxPFicBm\n1AMKciZ63l8IbQ+/BNej0FZY/4WogLeklAO1eM+I0TmKLJxyI9kGardPkHbina2tXJJ9LkINszwo\npDxGBaB7IC//EAolhDkEOes/RBwf5kA0AeIu1GKNYx1qhYcZimIzXSjGGw43+PeyNbDtShRumIZi\nQ3HXBNg/sO1VKmvk3VEc/T7DOTZi/zxs2Qn1GtLwP+CN0GdLynO0AVNRpfBZFKcPsxtyKqtjzrMO\nvYDhOPsm73vnBD0ORK3KsP7PopjkvinlQJXqiITr1otGsg3Ubp96kGSf19B7UQS5lMcop3wQCkvc\nG7H/CO/b1gktwD5+sopKx92OnCSoIHehVsARAZkxaMDRZxgamPwbcHvCNf1QRFtg28+onOff4X2b\n7vtJKoP9tbIT8ZVJvXgbzSCch0I+pxtkzgNmJ5xnJerdnBLa7ld+DyUcvyslBxHE37ZLSjmf5Wh2\nXTOSlW2gdvvUizj72Drl96L38c8pPrclnDOX8hiVfTHB+/4Q8H7D/kOQw7JxykORw3wAOyOvNGwb\njzIdfK5F4YVO4B5vW0dIn2no/hZS3no2Mcr7fjBBzn8uWbeIoxiA2bh58TIaiZ+O4oF+JTUIxd9t\nwlcbQv/3Qd21FcRXli0orm8amfafSXsKuSB3Al+m8VMN48jCNlC9fepJnH02oRhsD+J7GStQ4zIr\nciuPUU65A3W1jkSx4yBtqLZ6nEqDmhjvfdfSipxA+YDXY8AfgY+hWmk9SnebF5Dxg+wPWJzfbwEn\nyU5A9/xXi3NmwUaUpmSiHqt1mZLZ56GXdCKl7JJzgblVXuN8lEN+OvEvVTcKnZkqVL9HsyWFXJDj\nMY9bZEW9VlIL2ydr24C9fepJnH0GIJ+Ut265lUdT+KIFOdJVVDpkULegD/apWn6z/C8WskMwz20f\nTinu63MN6r6diXTuiSoSHz8kkTQ9eQRy7i8Q75R3RiGT+8hv+cINRK8M11KHj4mVKCPGH/TpjwY1\n763ifjpQD2YSdhXbYxHb/dHqF1PK+ewfc8wMzF3bmWjk37QvvKxkPWxjsk+WtoH09qkXcfYZiF1j\nsB7kUh5NLeX9UczmxogT+y1f2y780973Sxay51O5pGFfFEcOcxsawZ2KapknQvtfQE4+qfvv5yFP\nSZDNO3QBmuASlzWSF3OBm9Eg50nAD6s4xwjvuEnIkdnwGGoEhPEHt9anlAOFquIczuWYV+Q7xztP\nUtwxb7KwDVRnn3qQZJ+B6L1I4mCUgZJmav1a4FMx+4soj4AKXzea4WPiF95+UyK9aZ3Y/Tz5pNSu\nMZgncEwEPh9xzHe8c99BKQThM9vbF5deMw51NWxyged45zM9bJ806+SORAOfnd71TSPdSyx1qze9\n0MyweSj+lXYNiZ3QmMDowLbeVL4A4RSkTsoLsM89qLXRI6Uc6JknTcE3kUVKXD2o1TZQvX2CZJUS\nl2Sf2eT3KySFlEdT+MJ3bssM+0CObE3oov46seeiLlSQ1Sj+ewLRE03GeMeaZupNIDpUMh/Fbjqo\nHES8FY1UHxtx7AHAb9CveZwXIRPW43XMrYi4+4+iy7v2tcAvUbZHmEcpDUIWyWbUipqOelBpwjdt\nKG9zGuUtgtEkj6I/gkaqgxVhXzTbczal2JytXF/v77dS6N/o1GIbqM0+WWNjn9Hkl6ccppDy2Bf4\nJ2rGmxiLjH5DxP6o6aP9USz2ftRC9BmKpit/HXMS/R7I+Q+J0XkJ5rxhUHL8RsodczsaxFhDZSpQ\nFPugh2fKnw5iO312AuXPuBeK3w8LyX0YVQSNsJrfLmhEO+1khy6U8tMV+NzsnSs8OSfcMmkBfo4q\nLz/UNg3FFAdUIXcG1ecoN2pLGaq3DdRmnyB+jzhpTYo4ORv7vEz6pR2qpZDy6B8wHM2G2w055t6o\ndXsz6j5/FC3uMxzFXY9GrdcLPLkk3vCOORX4GnJyq1G3awlq8QbpjQYrRqGC9qCnhynWN5fokMJi\nVMkcD3wcDQS2osT7I4G/x+i8p6dXb0/fN73rLEMOdCbm9D0bRlIe7N+M4mQHoLxqn2Uo+2JfKmPm\ncYxDscE+3rEXUvsiPC8RH7oxMRktPEXEseHJDZsoH1zuRhMkLkGtwA2ogj4UVbZp5XakNMZRFI1i\nG6jdPqCQ4xRKvuEY4Cn0bn+E0jiNjVySffZEiQBRvfis2SbKY96/qNBo2N7/DCpzQNegtZPDrMQ8\nQSCKdsoXbDkNTUCpZr0HR4lTkDOtBWeb2vgEjb1iYiY0Qrd4e2QtlQMy/TCn+nRhdtZRjEQpUrt7\n/9+ORqwPizzCYUMXta8C6GxTG6cgO2zTOKdcDKson2rZBw2qrDPIzkfpPbbrNC9H3aTnvf/3QN2p\norvtDmebWhiGxmJqmRjTFDinXH9GU55qBJrQMojST6YfgQYrTV2zTSjdqdPyelspX7B/JlrD9lnL\n4x31w9mmeqaiH5woYi2YpiTLdWKbkbj7/x7mFJ5xqJCdhXI2RxpkfPxWdNoUpeloKVRH4+FsY89A\n1JBplJ+BagqyWie2WUm6/7gJLLbJ/seiiTu2nEBp+m9/tq9KstFxtknHLWiQb7sgK8e5FU3UCH7y\nWh+iEUi6/0NI94MAJp5CaTWHkbxw0kQ0Q/BO9NIfj/KdTbOMHPnibJOOs1EaWbXTxx2OCg4n21l5\nc9EMyCj2RXHo7sBnC9n/0rYjPc426RiJ/Y8xOxzWVLMWgcPhcDgcDofD4XA4HA6Hw+FwOBwOh8MR\ny/8BXM2fWYIlT5QAAAAASUVORK5CYII=\n", | |
|
|
59 | "text": "\u239b \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u239e \n \u239c\u2572\u2571 2 \u22c5\u275800\u27e9 \u2572\u2571 2 \u22c5\u275811\u27e9\u239f \nH \u22c5CNOT \u22c5\u239c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u239f = \u275800\u27e9\n 1 1,0 \u239d 2 2 \u23a0" | |
|
|
60 | }, | |
|
|
61 | { | |
|
|
62 | "output_type": "display_data", | |
|
|
63 | "latex": "$$H_{1} CNOT_{1,0} X_{1} \\left(\\frac{1}{2} \\sqrt{2} {\\left|00\\right\\rangle } + \\frac{1}{2} \\sqrt{2} {\\left|11\\right\\rangle }\\right) = {\\left|01\\right\\rangle }$$", | |
|
|
64 | "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAAmCAYAAAAoR0vRAAAABHNCSVQICAgIfAhkiAAADRdJREFU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\nrkJggg==\n", | |
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65 | "text": "\u239b \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u239e \n \u239c\u2572\u2571 2 \u22c5\u275800\u27e9 \u2572\u2571 2 \u22c5\u275811\u27e9\u239f \nH \u22c5CNOT \u22c5X \u22c5\u239c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u239f = \u275801\u27e9\n 1 1,0 1 \u239d 2 2 \u23a0" | |
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66 | }, | |
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67 | { | |
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68 | "output_type": "display_data", | |
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69 | "latex": "$$H_{1} CNOT_{1,0} Z_{1} \\left(\\frac{1}{2} \\sqrt{2} {\\left|00\\right\\rangle } + \\frac{1}{2} \\sqrt{2} {\\left|11\\right\\rangle }\\right) = {\\left|10\\right\\rangle }$$", | |
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70 | "png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAAmCAYAAADKm1CoAAAABHNCSVQICAgIfAhkiAAADSdJREFU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\nL5K2XHBY3nYAAAAASUVORK5CYII=\n", | |
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71 | "text": "\u239b \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u239e \n \u239c\u2572\u2571 2 \u22c5\u275800\u27e9 \u2572\u2571 2 \u22c5\u275811\u27e9\u239f \nH \u22c5CNOT \u22c5Z \u22c5\u239c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u239f = \u275810\u27e9\n 1 1,0 1 \u239d 2 2 \u23a0" | |
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72 | }, | |
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73 | { | |
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74 | "output_type": "display_data", | |
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75 | "latex": "$$H_{1} CNOT_{1,0} Z_{1} X_{1} \\left(\\frac{1}{2} \\sqrt{2} {\\left|00\\right\\rangle } + \\frac{1}{2} \\sqrt{2} {\\left|11\\right\\rangle }\\right) = {\\left|11\\right\\rangle }$$", | |
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76 | "png": 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4PB6Px+PxeDwej8fj8Xg8deK/A6n3/vuWvSEAAAAASUVORK5CYII=\n", | |
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77 | "text": "\u239b \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u239e \n \u239c\u2572\u2571 2 \u22c5\u275800\u27e9 \u2572\u2571 2 \u22c5\u275811\u27e9\u239f \nH \u22c5CNOT \u22c5Z \u22c5X \u22c5\u239c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u239f = \u275811\u27e9\n 1 1,0 1 1 \u239d 2 2 \u23a0" | |
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78 | }, | |
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79 | { | |
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80 | "output_type": "display_data", | |
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81 | "png": "iVBORw0KGgoAAAANSUhEUgAAAJ8AAACOCAYAAAAvkdreAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nPhLzA3qiBLIVwuRCAAAAAElFTkSuQmCC\n" | |
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82 | }, | |
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83 | { | |
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84 | "output_type": "display_data", | |
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85 | "png": "iVBORw0KGgoAAAANSUhEUgAAANcAAACOCAYAAACi/J2KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKWFcREoYF5ESxkWk5F/3HJA5UghcmgAAAABJRU5ErkJggg==\n" | |
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86 | }, | |
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87 | { | |
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88 | "output_type": "display_data", | |
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89 | "png": "iVBORw0KGgoAAAANSUhEUgAAANcAAACOCAYAAACi/J2KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nB0cTBOhAfgykAAAAAElFTkSuQmCC\n" | |
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90 | }, | |
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91 | { | |
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92 | "output_type": "display_data", | |
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93 | "png": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAACOCAYAAAAvtI33AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niEiF8SAiFcaDiFQYDyJSYTyISOV/yPbwgtf3gNAAAAAASUVORK5CYII=\n" | |
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94 | } | |
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95 | ], | |
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96 | "collapsed": false, | |
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97 | "prompt_number": 6, | |
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98 | "input": "for circuit in circuits:\n circuit_plot(circuit, nqubits=2)\n display(Eq(circuit*psi,qapply(circuit*psi)))" | |
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99 | } | |
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100 | ] | |
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101 | } | |
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102 | ] | |
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103 | } No newline at end of file | |
| @@ -1,110 +1,28 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># Title (h1) | |
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10 | ||
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11 | ## Heading (h2) | |
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12 | ||
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13 | ### Heading (h3) | |
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14 | ||
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15 | Here is a paragraph of text. | |
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16 | ||
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17 | * One. | |
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18 | - Sublist | |
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19 | - Here we go | |
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20 | - Sublist | |
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21 | - Here we go | |
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22 | - Here we go | |
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23 | * Two. | |
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24 | - Sublist | |
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25 | * Three. | |
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26 | - Sublist | |
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27 | ||
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28 | Now another list: | |
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29 | ||
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30 | --- | |
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31 | ||
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32 | 1. Here we go | |
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33 | 1. Sublist | |
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34 | 2. Sublist | |
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35 | 2. There we go | |
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36 | 3. Now this | |
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37 | ||
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38 | And another paragraph. | |
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39 | ||
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40 | ### Heading (h3) | |
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41 | ||
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42 | #### Heading (h4) | |
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43 | ||
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44 | ##### Heading (h5) | |
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45 | ||
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46 | ###### Heading (h6) | |
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47 | ||
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48 | ## Heading (h2) | |
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49 | ||
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50 | </source> | |
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51 | </markdowncell> | |
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52 | <markdowncell> | |
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53 | <source># Heading (h1) | |
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54 | ||
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55 | ## Heading (h2) | |
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56 | ||
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57 | ### Heading (h3) | |
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58 | ||
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59 | #### Heading (h4) | |
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60 | ||
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61 | ##### Heading (h5) | |
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62 | ||
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63 | ###### Heading (h6) | |
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64 | ||
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65 | Now for a simpel code example: | |
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66 | ||
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67 | for i in range(10): | |
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68 | print i | |
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69 | ||
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70 | Now more text</source> | |
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71 | </markdowncell> | |
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72 | <markdowncell> | |
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73 | <source>## Heading (h2) | |
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74 | ||
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75 | Here is text. | |
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76 | ||
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77 | > This is a *block* quote. This is a block quote. This is a block quote. | |
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78 | > This is a **block** quote. This is a block quote. This is a block quote. | |
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79 | > This is a `block` quote. This is a block quote. This is a block quote. | |
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80 | > This is a block quote. This is a block quote. This is a block quote. | |
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81 | > This is a block quote. This is a block quote. This is a block quote. | |
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82 | > This is a block quote. This is a block quote. This is a block quote. | |
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83 | ||
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84 | Here is text | |
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85 | ||
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86 | <table> | |
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87 | <tr> | |
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88 | <th>Header 1</th> | |
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89 | <th>Header 2</th> | |
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90 | </tr> | |
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91 | <tr> | |
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92 | <td>row 1, cell 1</td> | |
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93 | <td>row 1, cell 2</td> | |
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94 | </tr> | |
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95 | <tr> | |
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96 | <td>row 2, cell 1</td> | |
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97 | <td>row 2, cell 2</td> | |
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98 | </tr> | |
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99 | </table></source> | |
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100 | </markdowncell> | |
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101 | <codecell> | |
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102 | <input /> | |
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103 | <language>python</language> | |
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104 | <collapsed>1</collapsed> | |
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105 | <outputs /> | |
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106 | </codecell> | |
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107 | </cells> | |
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108 | </worksheet> | |
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109 | </worksheets> | |
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110 | </notebook> | |
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1 | { | |
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2 | "nbformat": 2, | |
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3 | "name": "formatting", | |
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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": "# Title (h1)\n\n## Heading (h2)\n\n### Heading (h3)\n\nHere is a paragraph of text.\n\n* One.\n - Sublist\n - Here we go\n - Sublist\n - Here we go\n - Here we go\n* Two.\n - Sublist\n* Three.\n - Sublist\n\nNow another list:\n\n---\n\n1. Here we go\n 1. Sublist\n 2. Sublist\n2. There we go\n3. Now this\n\nAnd another paragraph.\n\n### Heading (h3)\n\n#### Heading (h4)\n\n##### Heading (h5)\n\n###### Heading (h6)\n\n## Heading (h2)\n\n", | |
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9 | "cell_type": "markdown" | |
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10 | }, | |
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11 | { | |
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12 | "source": "# Heading (h1)\n\n## Heading (h2)\n\n### Heading (h3)\n\n#### Heading (h4)\n\n##### Heading (h5)\n\n###### Heading (h6)\n\nNow for a simpel code example:\n\n for i in range(10):\n print i\n\nNow more text", | |
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13 | "cell_type": "markdown" | |
|
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14 | }, | |
|
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15 | { | |
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16 | "source": "## Heading (h2)\n\nHere is text.\n\n> This is a *block* quote. This is a block quote. This is a block quote. \n> This is a **block** quote. This is a block quote. This is a block quote. \n> This is a `block` quote. This is a block quote. This is a block quote. \n> This is a block quote. This is a block quote. This is a block quote. \n> This is a block quote. This is a block quote. This is a block quote. \n> This is a block quote. This is a block quote. This is a block quote. \n\nHere is text\n\n<table>\n<tr>\n<th>Header 1</th>\n<th>Header 2</th>\n</tr>\n<tr>\n<td>row 1, cell 1</td>\n<td>row 1, cell 2</td>\n</tr>\n<tr>\n<td>row 2, cell 1</td>\n<td>row 2, cell 2</td>\n</tr>\n</table>", | |
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17 | "cell_type": "markdown" | |
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18 | }, | |
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19 | { | |
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20 | "outputs": [], | |
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21 | "cell_type": "code", | |
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22 | "collapsed": true, | |
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23 | "language": "python" | |
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24 | } | |
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25 | ] | |
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26 | } | |
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27 | ] | |
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28 | } No newline at end of file | |
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| @@ -1,417 +1,138 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>grovers</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><h1>Grover's Algorithm</h1></source> | |
|
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10 | </markdowncell> | |
|
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11 | <codecell> | |
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12 | <input>%load_ext sympyprinting</input> | |
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13 |
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14 | <prompt_number>1</prompt_number> | |
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15 | <collapsed>1</collapsed> | |
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16 | <outputs /> | |
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17 | </codecell> | |
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18 | <codecell> | |
|
|
19 | <input>from sympy import sqrt, symbols, Rational | |
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|
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> | |
|
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28 | <prompt_number>2</prompt_number> | |
|
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29 | <collapsed>1</collapsed> | |
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30 |
|
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|
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31 | </codecell> | |
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32 | <codecell> | |
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33 |
|
|
|
|
34 | </input> | |
|
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35 | <language>python</language> | |
|
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36 | <prompt_number>3</prompt_number> | |
|
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37 | <collapsed>1</collapsed> | |
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38 | <outputs /> | |
|
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39 | </codecell> | |
|
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40 | <markdowncell> | |
|
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41 | <source>Grover's algorithm is a quantum algorithm which searches an unordered database (inverts a function).<br/> | |
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42 | Provides polynomial speedup over classical brute-force search ($O(\sqrt{N}) vs. O(N))$ </source> | |
|
|
43 | </markdowncell> | |
|
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44 | <markdowncell> | |
|
|
45 | <source>Define a black box function that returns True if it is passed the state we are searching for.</source> | |
|
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46 | </markdowncell> | |
|
|
47 | <codecell> | |
|
|
48 | <input>def black_box(qubits): | |
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49 | return True if qubits == IntQubit(1, qubits.nqubits) else False | |
|
|
50 | </input> | |
|
|
51 | <language>python</language> | |
|
|
52 | <prompt_number>4</prompt_number> | |
|
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53 | <collapsed>1</collapsed> | |
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54 | <outputs /> | |
|
|
55 | </codecell> | |
|
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56 | <markdowncell> | |
|
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57 | <source>Build a uniform superposition state to start the search.</source> | |
|
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58 | </markdowncell> | |
|
|
59 | <codecell> | |
|
|
60 | <input>psi = superposition_basis(nqubits); psi | |
|
|
61 | </input> | |
|
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62 | <language>python</language> | |
|
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63 | <prompt_number>5</prompt_number> | |
|
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64 | <collapsed>0</collapsed> | |
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65 | <outputs> | |
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66 | <output> | |
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67 | <output_type>pyout</output_type> | |
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68 | <text>β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ | |
|
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69 | β²β± 2 β β0β© β²β± 2 β β1β© β²β± 2 β β2β© β²β± 2 β β3β© β²β± 2 β β4β© β²β± 2 β β5β© β²β± 2 β | |
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70 | βββββββββ + βββββββββ + βββββββββ + βββββββββ + βββββββββ + βββββββββ + ββββββ | |
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71 | 4 4 4 4 4 4 4 | |
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72 | ||
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73 | β½β½β½ | |
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74 | β6β© β²β± 2 β β7β© | |
|
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75 | βββ + βββββββββ | |
|
|
76 | 4</text> | |
|
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77 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQXRvQUFBQWtDQVlBQUFDMzZaMXpBQUFBQkhOQ1NWUUlD | |
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78 | QWdJZkFoa2lBQUFES2RKUkVGVQplSnp0blgzTUhFVWR4ejl0SDZDMFdNcWJ0bHJVQkFIZmVHbEF0 | |
|
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79 | SUR5V0JHQ2lsQnJzRkVJR0VIaElZQmdmR2xRVTZHS2htQTFKQ2hCCkJRSVNFS3FncHVJTG9RWVFJ | |
|
|
80 | aUJJQlZFMGVSQUZDdFFBQ3VXbHR2N3gyODB6Tjd0M3QzdTd0ek4zOS8wa203dWJuZHZkZnA1ZjUy | |
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138 | THZPd3NUNVhZT3V0M29lTjgzSDVDdGxKUzBYcFIwc3dwSE9veC90aHdNWFlPTW90MlBpdjFkaWpT | |
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141 | ckxES0dKeURzTVQ2MkFOblBYa2QxVG5laS96aDlnTmE2VXVwZGdTU3QxNE5UWnMKb3lqemdEZDIy | |
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142 | SDhiSmpNbDdUVjlPU2Z2dGxoUDlzTmtsMDZhUTM1THBRZ25ZcjBuZFUwV0NPMGM2dkdlanUvSzQv | |
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143 | NGtyN3hQVWRZNQpaTDBYUFVZczNrTTdoM3JMbUxsWTVTN3ZHbUp4RHVHOTF4SHJMcnVRUHo1eUhY | |
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146 | TVhNcjBTZzNPb3gzdVJZOGo3RkdXZFE5WjcwV1BFNEQwRzUxQnZHZk4wc3VVUmczT0l3M3Nkc2U3 | |
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148 | ZU9RbnJBVjVMOFhVMFI1RlpaQmVNN3hVNUw0NjhoNkV1CjczSmVITVY2R09ROURDcGpta2V4WGpO | |
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149 | RmVyUVhZcTJtOVgyK2xtSGcrWnFPSStmbGtQY3cxT0ZkenN1aFdBK0R2SWRCWlV6ektOWnIKWm5x | |
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150 | WC9UT3hWc2lhL2wrS1NKRHpNTWg3ODhoNUdPUTlEUExlUEhJZUJubDNtTkZsL3huQUR0aXN6WU94 | |
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151 | eDJET3hzYnZQTlRmU3h0Wgo1RHdNOHQ0OGNoNEdlUStEdkRlUG5JZEIzaXN3eVFpUHN3bkVKSEll | |
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152 | Z2tua3ZXa21rZk1RVENMdklaaEUzcHRtRWprUHdTUWo3TDNiCjBKR1VPZGpTTERzQlI5SjVxUlJS | |
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153 | RDNJZUJubHZIamtQZzd5SFFkNmJSODdESU8rVWV6TGtldUNJNVAybVBseUx5Q0xuWVpEMzVwSHoK | |
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154 | TU1oN0dPUzllZVE4RFBJdWhCQkNDQ0dFRUVJSUlZUVFRZ2doaEJCQ0NDR0VFRUlJSVlRUW9qYitE | |
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155 | L3JLdG5uVFJvc1lBQUFBQUVsRgpUa1N1UW1DQwo= | |
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156 | </png> | |
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|
157 | <latex>$$\frac{1}{4} \sqrt{2} {\left|0\right\rangle } + \frac{1}{4} \sqrt{2} {\left|1\right\rangle } + \frac{1}{4} \sqrt{2} {\left|2\right\rangle } + \frac{1}{4} \sqrt{2} {\left|3\right\rangle } + \frac{1}{4} \sqrt{2} {\left|4\right\rangle } + \frac{1}{4} \sqrt{2} {\left|5\right\rangle } + \frac{1}{4} \sqrt{2} {\left|6\right\rangle } + \frac{1}{4} \sqrt{2} {\left|7\right\rangle }$$</latex> | |
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158 | <prompt_number>5</prompt_number> | |
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159 | </output> | |
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160 | </outputs> | |
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161 | </codecell> | |
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162 | <codecell> | |
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163 | <input>v = OracleGate(nqubits, black_box) | |
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164 | </input> | |
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165 | <language>python</language> | |
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166 | <prompt_number>6</prompt_number> | |
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167 | <collapsed>1</collapsed> | |
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168 | <outputs /> | |
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169 | </codecell> | |
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170 | <markdowncell> | |
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171 | <source>Perform two iterations of Grover's algorithm. Each iteration, the amplitude of the target state increases.</source> | |
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172 | </markdowncell> | |
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173 | <codecell> | |
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174 | <input>iter1 = qapply(grover_iteration(psi, v)); iter1 | |
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175 | </input> | |
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176 | <language>python</language> | |
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177 | <prompt_number>7</prompt_number> | |
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178 | <collapsed>0</collapsed> | |
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179 | <outputs> | |
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180 | <output> | |
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|
181 | <output_type>pyout</output_type> | |
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|
182 | <text>β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½ | |
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|
183 | β²β± 2 β β0β© 5β β²β± 2 β β1β© β²β± 2 β β2β© β²β± 2 β β3β© β²β± 2 β β4β© β²β± 2 β β5β© β²β± 2 | |
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|
184 | βββββββββ + βββββββββββ + βββββββββ + βββββββββ + βββββββββ + βββββββββ + ββββ | |
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|
185 | 8 8 8 8 8 8 | |
|
|
186 | ||
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|
187 | β½ β½β½β½ | |
|
|
188 | β β6β© β²β± 2 β β7β© | |
|
|
189 | βββββ + βββββββββ | |
|
|
190 | 8 8</text> | |
|
|
191 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQXRvQUFBQWtDQVlBQUFDMzZaMXpBQUFBQkhOQ1NWUUlD | |
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192 | QWdJZkFoa2lBQUFET0pKUkVGVQplSnp0blh1c0hGVVp3SDl0YjZFVUtLVlFiYkdvQ1JUdzBWZUtT | |
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193 | QUh0RlN1aytBREUxS3FRSXFMQ0pTaVArR2hBVTZHS0JyR2FKaWlpCkF1RmhFV3FMbWxvVkJBTUlF | |
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194 | UkNrZ3FpUWlDaVBRbFhRV2xxdzlZOXZKbnZtek96dXpNN3MrV1ozdjEreTJidG56czdzL2Qzdm5w | |
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195 | MXoKNWp0bndEQU13ekFNd3pBTXd6QU13ekFNd3pDTTh1eW80R0VVNDFXWWR3M01lM2pNdVE3bVhR | |
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196 | ZnpIaDV6cmtQUGVuOE5NQzd3TVc4RQpKZ1UrcGpaN0FlOEdGZ0xIQVBNREgzOFFuZnRZcklmSG5P | |
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197 | dGczblV3NytFeDV6b012UGZST2VwTUF6NEkzQXRNNmU3SFNUQUhlQno0ClI4Qmoxb0U1d0FYUjQz | |
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198 | akVRY2hqRDZMekdJdjE4Smh6SGN5N0R1WTlQT1pjQi9OZWdJWEFMR1FZL2JVQmozc05NdncvYUN3 | |
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199 | QWpsQTYKOXFBNmo3RllENDg1MThHODYyRGV3MlBPZFREdkVVTTU2dnkwNjU4aXpRSEFadUR2Q3Nl | |
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200 | dUE2T0FRNEZOd0o4REhYUFFuWVBGdWdibQpYQWZ6cm9ONUQ0ODUxOEc4ZDBESVhzbmx3UFJBeDZv | |
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201 | YkM0QnZBL3NESDBCNlp5RVlaT2MrRnV2aE1lYzZtSGNkekh0NHpMa09BKzg5ClQ0NTJhUFpGRXVk | |
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202 | RGplVDZMRkU2YnN4RHdHZUFSNEh2QXpPUlhPMXVvdTBjOUwxcllON0RZODUxTU84Nm1QZndtSE1k | |
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203 | YXVzOVQrcEkKYU00RkxtbXhmU1p3S3BKb2Z3L3dJK1RrMUdkVzlQdzdyL3drNEJBa1VmNHBZRFh3 | |
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204 | ckxOOUxESkxOdVFrUkpmcHdNUE82ODNBUEdCTgpGNC9aemptVTl4NXpCUEJXNEV0ZXViWjNEYXFL | |
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208 | am5nRG1DbjZQWEppTWhkbkRxN0lTUEtXanhFWXdSNwpGUEJQdXRzN2JlY2N5bnNIK1YwV0FDOEEz | |
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254 | SU4rck1mRUs0MjhrTEd0WSsvamtGeVlVNUIvCnFEMWFWOC9GZE9SRFRtcFgwZUhOU0UrdTJTelZH | |
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255 | Vjc5K2RIRFpRcVM2M00xc3Q3cWc4anY1dklGMHBPVzhsSlZUN0F1enFFYTcwY0IKbHlGNWxEdVEv | |
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256 | Sy9WeUsxTEowUjF6SHVEb3M0aDdUM3ZQclM5MThVNVZCUHJSeU96NEZjaU41NTZqRWJIUGtiYk9k | |
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257 | VEhleFd4N25JNApzcTd3ODlINzcwZEcrOFpqM2wycTlMNFk2V1JlaU55eDhGb2tUelZHMjN0ZG5F | |
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258 | TTFiVXk4aE9JNlpKRHdSdEpwRk5yT29UN2VxMjVqCjFnRFBrRDFRbmVrOXp4L2lmS1Qzc0JVUjlW | |
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259 | VTZuMkhyc2crU3RwR1hLY0JCTGJiZmljaU1pVWROWDhxb3V3c3lrdjA0NmFXVEpwRGQKVThuRHFj | |
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260 | am9TZG5KQW5WeER0VjRqL083c25nb3FtdmVHeFIxRG1udmVmZWg3YjB1enFIYU5tWWljbktYOVJt | |
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261 | MG5VTjl2RmNSNnk2VAp5YzZQM0lCY1dURHZRdFhlQWZaRjdzaTUzU3ZYanZlNk9JZHEyNWpSeUtT | |
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262 | OHJMdWdhanVIK25pdk90YkhJbTM3OHhuYk92YitNTWsxCllGZDFzcE1CNFJTeUYxVXZpamt2aG5u | |
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263 | WG9RcnY1cndZRnVzNm1IY2RySTBKajhWNnhlVEowYjRkeWJjNkM4a0ZXdE82K2tDemluUnYKdmhQ | |
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264 | TWVUSE11dzVWZURmbnhiQlkxOEc4NjJCdFRIZ3MxaFVZaXl5ZnRBMVpBM1pmM1k4ekVKaHpIY3g3 | |
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265 | ZU15NUR1WmRCL01lSG5PdQpnM2t2d0Vwa0daT0RnSnVSeVQyZExHZGo1TWVjNjJEZXcyUE9kVER2 | |
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266 | T3BqMzhKaHpIY3g3VHVhU3Z1UFR0Y0JDaGM4eUtKaHpIY3g3CmVNeTVEdVpkQi9NZUhuT3VnM2wz | |
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267 | R04xbSszWmdUNjlzSS9CSWR6Nk9nVG5Yd3J5SHg1enJZTjUxTU8vaE1lYzZtSGVITVcyMlA0MHMK | |
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268 | OGowUG1UaTVDRmtTNzVkZC9seURqRG5Yd2J5SHg1enJZTjUxTU8vaE1lYzZtUGNPMkEyWVJmSld0 | |
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269 | a1ozTWVjNm1QZndtSE1kekxzTwo1ajA4NWx3SDgyNFlobUVZaG1FWWhtRVlobUVZaG1FWWhtRVlo | |
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270 | bUVZaG1FWWhtRVlobUVZaG1GVXl2OEI0L3U3a2hsRFZDQUFBQUFBClNVVk9SSzVDWUlJPQo= | |
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|
271 | </png> | |
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272 | <latex>$$\frac{1}{8} \sqrt{2} {\left|0\right\rangle } + \frac{5}{8} \sqrt{2} {\left|1\right\rangle } + \frac{1}{8} \sqrt{2} {\left|2\right\rangle } + \frac{1}{8} \sqrt{2} {\left|3\right\rangle } + \frac{1}{8} \sqrt{2} {\left|4\right\rangle } + \frac{1}{8} \sqrt{2} {\left|5\right\rangle } + \frac{1}{8} \sqrt{2} {\left|6\right\rangle } + \frac{1}{8} \sqrt{2} {\left|7\right\rangle }$$</latex> | |
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273 | <prompt_number>7</prompt_number> | |
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274 | </output> | |
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275 | </outputs> | |
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276 | </codecell> | |
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277 | <codecell> | |
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278 | <input>iter2 = qapply(grover_iteration(iter1, v)); iter2 | |
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279 | </input> | |
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280 | <language>python</language> | |
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281 | <prompt_number>8</prompt_number> | |
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282 | <collapsed>0</collapsed> | |
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283 | <outputs> | |
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284 | <output> | |
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285 | <output_type>pyout</output_type> | |
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286 | <text>β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ | |
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287 | β²β± 2 β β0β© 11β β²β± 2 β β1β© β²β± 2 β β2β© β²β± 2 β β3β© β²β± 2 β β4β© β²β± 2 β β5β© β² | |
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288 | - βββββββββ + ββββββββββββ - βββββββββ - βββββββββ - βββββββββ - βββββββββ - β | |
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|
289 | 16 16 16 16 16 16 | |
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290 | ||
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291 | β½β½β½ β½β½β½ | |
|
|
292 | β± 2 β β6β© β²β± 2 β β7β© | |
|
|
293 | ββββββββ - βββββββββ | |
|
|
294 | 16 16</text> | |
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|
295 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQXdVQUFBQWtDQVlBQUFEWWZaWjNBQUFBQkhOQ1NWUUlD | |
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296 | QWdJZkFoa2lBQUFEU1pKUkVGVQplSnp0blhtUUhGVWR4ejlKMkN5SjRVeWlFY0loVjFtQlVpUktS | |
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297 | UW9WandJQkMrVFFTS0ZrS1kzaWhZaVk0dkFZRlJBeEVoVWtxSWdJCkNsSEJBZzJJSUxwS0VjRjRn | |
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298 | Q0tsd1NqS1Zad3FvQVFLaUgvOHV0bWVONjk3WnJwNzV6ZWIrWDZxcG1ybjlYdlR2Wi9mOU90NS9Z | |
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376 | L1MKelNmU2hTUU41d0FBQUFCSlJVNUVya0pnZ2c9PQo= | |
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377 | </png> | |
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378 | <latex>$$- \frac{1}{16} \sqrt{2} {\left|0\right\rangle } + \frac{11}{16} \sqrt{2} {\left|1\right\rangle } - \frac{1}{16} \sqrt{2} {\left|2\right\rangle } - \frac{1}{16} \sqrt{2} {\left|3\right\rangle } - \frac{1}{16} \sqrt{2} {\left|4\right\rangle } - \frac{1}{16} \sqrt{2} {\left|5\right\rangle } - \frac{1}{16} \sqrt{2} {\left|6\right\rangle } - \frac{1}{16} \sqrt{2} {\left|7\right\rangle }$$</latex> | |
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379 | <prompt_number>8</prompt_number> | |
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380 | </output> | |
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381 | </outputs> | |
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382 | </codecell> | |
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383 | <markdowncell> | |
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384 | <source>A single shot measurement is performed to retrieve the target state.</source> | |
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385 | </markdowncell> | |
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386 | <codecell> | |
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387 | <input>measure_all_oneshot(iter2) | |
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388 | </input> | |
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389 | <language>python</language> | |
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390 | <prompt_number>9</prompt_number> | |
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391 | <collapsed>0</collapsed> | |
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392 | <outputs> | |
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393 | <output> | |
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394 | <output_type>pyout</output_type> | |
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|
395 | <text>β001β©</text> | |
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396 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUNrQUFBQVRDQVlBQUFBTmdTUTlBQUFBQkhOQ1NWUUlD | |
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407 | SFY2STJoRTlkTG02Ri80ZS91K3R5ZUYwcUx2c0FBQUFBU1VWT1JLNUNZSUk9Cg== | |
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408 | </png> | |
|
|
409 | <latex>$${\left|001\right\rangle }$$</latex> | |
|
|
410 | <prompt_number>9</prompt_number> | |
|
|
411 | </output> | |
|
|
412 | </outputs> | |
|
|
413 | </codecell> | |
|
|
414 | </cells> | |
|
|
415 | </worksheet> | |
|
|
416 | </worksheets> | |
|
|
417 | </notebook> | |
|
|
1 | { | |
|
|
2 | "nbformat": 2, | |
|
|
3 | "name": "grovers", | |
|
|
4 | "worksheets": [ | |
|
|
5 | { | |
|
|
6 | "cells": [ | |
|
|
7 | { | |
|
|
8 | "source": "<h1>Grover's Algorithm</h1>", | |
|
|
9 | "cell_type": "markdown" | |
|
|
10 | }, | |
|
|
11 | { | |
|
|
12 | "cell_type": "code", | |
|
|
13 | "language": "python", | |
|
|
14 | "outputs": [], | |
|
|
15 | "collapsed": true, | |
|
|
16 | "prompt_number": 1, | |
|
|
17 | "input": "%load_ext sympyprinting" | |
|
|
18 | }, | |
|
|
19 | { | |
|
|
20 | "cell_type": "code", | |
|
|
21 | "language": "python", | |
|
|
22 | "outputs": [], | |
|
|
23 | "collapsed": true, | |
|
|
24 | "prompt_number": 2, | |
|
|
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 | "cell_type": "code", | |
|
|
29 | "language": "python", | |
|
|
30 | "outputs": [], | |
|
|
31 | "collapsed": true, | |
|
|
32 | "prompt_number": 3, | |
|
|
33 | "input": "nqubits = 3\n" | |
|
|
34 | }, | |
|
|
35 | { | |
|
|
36 | "source": "Grover's algorithm is a quantum algorithm which searches an unordered database (inverts a function).<br/>\nProvides polynomial speedup over classical brute-force search ($O(\\sqrt{N}) vs. O(N))$ ", | |
|
|
37 | "cell_type": "markdown" | |
|
|
38 | }, | |
|
|
39 | { | |
|
|
40 | "source": "Define a black box function that returns True if it is passed the state we are searching for.", | |
|
|
41 | "cell_type": "markdown" | |
|
|
42 | }, | |
|
|
43 | { | |
|
|
44 | "cell_type": "code", | |
|
|
45 | "language": "python", | |
|
|
46 | "outputs": [], | |
|
|
47 | "collapsed": true, | |
|
|
48 | "prompt_number": 4, | |
|
|
49 | "input": "def black_box(qubits):\n return True if qubits == IntQubit(1, qubits.nqubits) else False\n" | |
|
|
50 | }, | |
|
|
51 | { | |
|
|
52 | "source": "Build a uniform superposition state to start the search.", | |
|
|
53 | "cell_type": "markdown" | |
|
|
54 | }, | |
|
|
55 | { | |
|
|
56 | "cell_type": "code", | |
|
|
57 | "language": "python", | |
|
|
58 | "outputs": [ | |
|
|
59 | { | |
|
|
60 | "output_type": "pyout", | |
|
|
61 | "latex": "$$\\frac{1}{4} \\sqrt{2} {\\left|0\\right\\rangle } + \\frac{1}{4} \\sqrt{2} {\\left|1\\right\\rangle } + \\frac{1}{4} \\sqrt{2} {\\left|2\\right\\rangle } + \\frac{1}{4} \\sqrt{2} {\\left|3\\right\\rangle } + \\frac{1}{4} \\sqrt{2} {\\left|4\\right\\rangle } + \\frac{1}{4} \\sqrt{2} {\\left|5\\right\\rangle } + \\frac{1}{4} \\sqrt{2} {\\left|6\\right\\rangle } + \\frac{1}{4} \\sqrt{2} {\\left|7\\right\\rangle }$$", | |
|
|
62 | "prompt_number": 5, | |
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|
63 | "png": "iVBORw0KGgoAAAANSUhEUgAAAtoAAAAkCAYAAAC36Z1zAAAABHNCSVQICAgIfAhkiAAADKdJREFU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\nTkSuQmCC\n", | |
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64 | "text": "\u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n\u2572\u2571 2 \u22c5\u27580\u27e9 \u2572\u2571 2 \u22c5\u27581\u27e9 \u2572\u2571 2 \u22c5\u27582\u27e9 \u2572\u2571 2 \u22c5\u27583\u27e9 \u2572\u2571 2 \u22c5\u27584\u27e9 \u2572\u2571 2 \u22c5\u27585\u27e9 \u2572\u2571 2 \u22c5\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\n 4 4 4 4 4 4 4 \n\n \u23bd\u23bd\u23bd \n\u27586\u27e9 \u2572\u2571 2 \u22c5\u27587\u27e9\n\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 4" | |
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65 | } | |
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66 | ], | |
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67 | "collapsed": false, | |
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68 | "prompt_number": 5, | |
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69 | "input": "psi = superposition_basis(nqubits); psi\n" | |
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70 | }, | |
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71 | { | |
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72 | "cell_type": "code", | |
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73 | "language": "python", | |
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74 | "outputs": [], | |
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75 | "collapsed": true, | |
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76 | "prompt_number": 6, | |
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77 | "input": "v = OracleGate(nqubits, black_box)\n" | |
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78 | }, | |
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79 | { | |
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80 | "source": "Perform two iterations of Grover's algorithm. Each iteration, the amplitude of the target state increases.", | |
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81 | "cell_type": "markdown" | |
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82 | }, | |
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83 | { | |
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84 | "cell_type": "code", | |
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85 | "language": "python", | |
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86 | "outputs": [ | |
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87 | { | |
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88 | "output_type": "pyout", | |
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89 | "latex": "$$\\frac{1}{8} \\sqrt{2} {\\left|0\\right\\rangle } + \\frac{5}{8} \\sqrt{2} {\\left|1\\right\\rangle } + \\frac{1}{8} \\sqrt{2} {\\left|2\\right\\rangle } + \\frac{1}{8} \\sqrt{2} {\\left|3\\right\\rangle } + \\frac{1}{8} \\sqrt{2} {\\left|4\\right\\rangle } + \\frac{1}{8} \\sqrt{2} {\\left|5\\right\\rangle } + \\frac{1}{8} \\sqrt{2} {\\left|6\\right\\rangle } + \\frac{1}{8} \\sqrt{2} {\\left|7\\right\\rangle }$$", | |
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90 | "prompt_number": 7, | |
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91 | "png": "iVBORw0KGgoAAAANSUhEUgAAAtoAAAAkCAYAAAC36Z1zAAAABHNCSVQICAgIfAhkiAAADOJJREFU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\nSUVORK5CYII=\n", | |
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92 | "text": "\u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\n\u2572\u2571 2 \u22c5\u27580\u27e9 5\u22c5\u2572\u2571 2 \u22c5\u27581\u27e9 \u2572\u2571 2 \u22c5\u27582\u27e9 \u2572\u2571 2 \u22c5\u27583\u27e9 \u2572\u2571 2 \u22c5\u27584\u27e9 \u2572\u2571 2 \u22c5\u27585\u27e9 \u2572\u2571 2\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\n 8 8 8 8 8 8 \n\n\u23bd \u23bd\u23bd\u23bd \n \u22c5\u27586\u27e9 \u2572\u2571 2 \u22c5\u27587\u27e9\n\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n8 8" | |
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93 | } | |
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94 | ], | |
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95 | "collapsed": false, | |
|
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96 | "prompt_number": 7, | |
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97 | "input": "iter1 = qapply(grover_iteration(psi, v)); iter1\n" | |
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98 | }, | |
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99 | { | |
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100 | "cell_type": "code", | |
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101 | "language": "python", | |
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102 | "outputs": [ | |
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103 | { | |
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104 | "output_type": "pyout", | |
|
|
105 | "latex": "$$- \\frac{1}{16} \\sqrt{2} {\\left|0\\right\\rangle } + \\frac{11}{16} \\sqrt{2} {\\left|1\\right\\rangle } - \\frac{1}{16} \\sqrt{2} {\\left|2\\right\\rangle } - \\frac{1}{16} \\sqrt{2} {\\left|3\\right\\rangle } - \\frac{1}{16} \\sqrt{2} {\\left|4\\right\\rangle } - \\frac{1}{16} \\sqrt{2} {\\left|5\\right\\rangle } - \\frac{1}{16} \\sqrt{2} {\\left|6\\right\\rangle } - \\frac{1}{16} \\sqrt{2} {\\left|7\\right\\rangle }$$", | |
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106 | "prompt_number": 8, | |
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107 | "png": "iVBORw0KGgoAAAANSUhEUgAAAwUAAAAkCAYAAADYfZZ3AAAABHNCSVQICAgIfAhkiAAADSZJREFU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\nzSfShSQN5wAAAABJRU5ErkJggg==\n", | |
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108 | "text": "\u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n \u2572\u2571 2 \u22c5\u27580\u27e9 11\u22c5\u2572\u2571 2 \u22c5\u27581\u27e9 \u2572\u2571 2 \u22c5\u27582\u27e9 \u2572\u2571 2 \u22c5\u27583\u27e9 \u2572\u2571 2 \u22c5\u27584\u27e9 \u2572\u2571 2 \u22c5\u27585\u27e9 \u2572\n- \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\n 16 16 16 16 16 16 \n\n \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n\u2571 2 \u22c5\u27586\u27e9 \u2572\u2571 2 \u22c5\u27587\u27e9\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 16 16" | |
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109 | } | |
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110 | ], | |
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111 | "collapsed": false, | |
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112 | "prompt_number": 8, | |
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113 | "input": "iter2 = qapply(grover_iteration(iter1, v)); iter2\n" | |
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114 | }, | |
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115 | { | |
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116 | "source": "A single shot measurement is performed to retrieve the target state.", | |
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117 | "cell_type": "markdown" | |
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118 | }, | |
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119 | { | |
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120 | "cell_type": "code", | |
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121 | "language": "python", | |
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122 | "outputs": [ | |
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123 | { | |
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124 | "output_type": "pyout", | |
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125 | "latex": "$${\\left|001\\right\\rangle }$$", | |
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126 | "prompt_number": 9, | |
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127 | "png": "iVBORw0KGgoAAAANSUhEUgAAACkAAAATCAYAAAANgSQ9AAAABHNCSVQICAgIfAhkiAAAAahJREFU\nSInt1rtrFUEcxfEPQeMr6DXiC3yksFHRRiQoiHVCKiuxyh9gYyMWVhaCooKttZXYiEZQ0yhib7AR\ng5GA+CgUITe+IFrMBMa9e/fO3NZ8YZjZ8zu7e3Z3dnZZoYgL3QqrkvEZPMV7tHAdbXzBWtzC28r+\nub5lNuIJTmOuUmtjGz43XckkRuJ4GlcrtVdYX9kn1zeIE3iOP9hXc/4tONcUMA05Gg+0P6mtw3dc\nTrRcXwv3hTt+ryEkXMJATsi7mK+pP8JMsp3rS7nYI+RxjFfFutRH8KZGn8Uh4bGU+Ep4EYP2DLkd\nCzV6O/Y7Cn2lzGNvKlRDbhLmVVsny1qrwNcPDzDRFPI3lmKrsjr2SwW+fpjAVFPIRd3XuA2x/1Dg\n64cRvEuFujk5g801+lDsPxb6SjgmvDz/0C3k7hr9qPDm/ij0lTCGhzkhX+IA9iTaVhzGtT58uQzj\nqx5zeVKYD4N4hptJ7bzwTV+TaLm+lBvCYt6xFuKssKx1kP5gLOJXbKeET9ttfMMunMTPxJ/rI/xU\n7MTBuP0Yr3EHV6I2hE9dLm6F/4e/u+tyeF0qLvsAAAAASUVORK5CYII=\n", | |
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128 | "text": "\u2758001\u27e9" | |
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129 | } | |
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130 | ], | |
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131 | "collapsed": false, | |
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132 | "prompt_number": 9, | |
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133 | "input": "measure_all_oneshot(iter2)\n" | |
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134 | } | |
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135 | ] | |
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136 | } | |
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137 | ] | |
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138 | } No newline at end of file | |
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1 | <?xml version="1.0" encoding="utf-8"?> | |
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2 | <notebook> | |
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3 | <name>qerror</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><h1>Quantum Error Correction</h1></source> | |
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10 | </markdowncell> | |
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11 | <codecell> | |
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12 | <input>%load_ext sympyprinting</input> | |
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13 |
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14 | <prompt_number>1</prompt_number> | |
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15 | <collapsed>1</collapsed> | |
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16 | <outputs /> | |
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17 | </codecell> | |
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18 | <codecell> | |
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19 | <input>from sympy import sqrt, symbols, Rational | |
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20 | from sympy import expand, Eq, Symbol, simplify, exp, sin | |
|
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21 | from sympy.physics.quantum import * | |
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22 | from sympy.physics.quantum.qubit import * | |
|
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23 | from sympy.physics.quantum.gate import * | |
|
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24 | from sympy.physics.quantum.grover import * | |
|
|
25 | from sympy.physics.quantum.qft import QFT, IQFT, Fourier | |
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26 | from sympy.physics.quantum.circuitplot import circuit_plot</input> | |
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27 | <language>python</language> | |
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28 | <prompt_number>2</prompt_number> | |
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29 | <collapsed>1</collapsed> | |
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30 | <outputs /> | |
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31 | </codecell> | |
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32 | <markdowncell> | |
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33 | <source><h2>5 qubit code</h2></source> | |
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34 | </markdowncell> | |
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35 | <codecell> | |
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|
36 | <input>M0 = Z(1)*X(2)*X(3)*Z(4); M0 | |
|
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37 | </input> | |
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38 | <language>python</language> | |
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39 | <prompt_number>3</prompt_number> | |
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40 | <collapsed>0</collapsed> | |
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41 | <outputs> | |
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42 | <output> | |
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43 | <output_type>pyout</output_type> | |
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44 | <text>Z β X β X β Z | |
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45 | 1 2 3 4</text> | |
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46 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZzQUFBQVlDQVlBQUFDVitvRmJBQUFBQkhOQ1NWUUlD | |
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47 | QWdJZkFoa2lBQUFBMk5KUkVGVQphSUh0MkVtSUhGVWN4L0ZQa3RIUUNTNW9TR0EwS29JTElzYUxt | |
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48 | SU9HT0M0TU11QTJDQ1l3R0pmZ3dSVWRSbkJGRk1sTjlCQXZCaUZSCkJCY1VQUVJFWEhBRE1ZZ29L | |
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59 | Rkl6bnlvL2p6VVQ4N2VJRHdocVJ4cTlwZWFZYgpMMXExUlh0eTFhVEQ4VEcreC9FdGRZTzRNK3ZV | |
|
|
60 | ZFMxMU94U2J2VFJyOUtNTzdRMW12TW5zMlZaZGkyL05iM0lYQ1BOV0p1Q2ZMajRtCnJOQ2NDRkhl | |
|
|
61 | QzdnSVYxdkE3RzFabzVONFA3dDI0V2Z6aHp4VDJnUDVWck1iZUE5L1pPOGNFT2NXZVkyS2VIaVcr | |
|
|
62 | NTFJUVBJNlVuTkMKY1JYMmkxR1dnaityTWJ5amVaa282OFVLM0lCVExXQjJXWFVhMlNtMUdPL2lw | |
|
|
63 | b1RNMWNLWW5kSmxnaE1pL1B4Zm0vMEE3cWlKdlJaZgphVjh1dXRVb1RzcCtGNXE5cEdJRGNEbjJp | |
|
|
64 | alMyRG0wU1M4SVRZcG9Tb1ZoWk5jUXMyU1BPcGlmRlJqK04xeXR3eDhWK2NvNklvczRTCi9uNkpY | |
|
|
65 | eXR3bTFUbnlCN1JmTkEvb2ZyQjFZQ0lvR1kzeUZWaURiNnlJamV2WVltWGtaTnhtemo5K2hBM200 | |
|
|
66 | OFVVbWk5R01FenVXdDMKSXZhUU9FUFpMTUszQ2VsUysvUHduTmpNeCtVT3c2bzAwTkFlZis1VGJZ | |
|
|
67 | cm50VXlFWUhsTjRjZEVmQ0w1MkorUVIzalN5SlgzaWlXcQpyNzc2NnF1cS9nSHh4eEpxZzFjRWZB | |
|
|
68 | QUFBQUJKUlU1RXJrSmdnZz09Cg== | |
|
|
69 | </png> | |
|
|
70 | <latex>$$Z_{1} X_{2} X_{3} Z_{4}$$</latex> | |
|
|
71 | <prompt_number>3</prompt_number> | |
|
|
72 | </output> | |
|
|
73 | </outputs> | |
|
|
74 | </codecell> | |
|
|
75 | <codecell> | |
|
|
76 | <input>M1 = Z(2)*X(3)*X(4)*Z(0); M1 | |
|
|
77 | </input> | |
|
|
78 | <language>python</language> | |
|
|
79 | <prompt_number>4</prompt_number> | |
|
|
80 | <collapsed>0</collapsed> | |
|
|
81 | <outputs> | |
|
|
82 |
|
|
|
|
83 | <output_type>pyout</output_type> | |
|
|
84 | <text>Z β X β X β Z | |
|
|
85 | 2 3 4 0</text> | |
|
|
86 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZvQUFBQVlDQVlBQUFCNk9PcGxBQUFBQkhOQ1NWUUlD | |
|
|
87 | QWdJZkFoa2lBQUFBNGxKUkVGVQphSUh0MkZ1b0ZXVVVCL0RmMXBQSGtpNVVXbWszZWlzaW9oZnhJ | |
|
|
88 | YTBzaUxDeWkxQVpkcUVNSXFtUXNxaW9TSkVvZXFnSGlTQ2pHMEVZCmxSS0JHU0ZGTnpwRUZ5Z3Fq | |
|
|
89 | TElpNkI1azZkSFR3NW81ZS9iZWMwN3VtVy92WHZZZkJ1YWJOZk9mTmY5WjM3Zld0eGpnZjhVczdN | |
|
|
90 | UVkKZHVFTGJNYXIyZkZ6WnJ0b0w3aVdZU1M3Znd3NzhFekJmZzUreld4NzhEbm1kK0Zyci9sVGF0 | |
|
|
91 | R0JxL0FQYnNRK2JiYkYySTJIdStSYwpuVGwwZDRudGZ1SDg3QzQ1KzhIZkN5M0dzUUdMU3E3UHhW | |
|
|
92 | OTRDVk82NUR3S28vaXM3ZnA4ckt2QTF5LytYbWdCcHVHTmt1dkg0VWU4CmovMnFFR09qaUxyVHN2 | |
|
|
93 | RkpZcG9QVmVUck5YOHZ0WEEwem1xN2RyQ0lsSzl4V0ZWaUVSbGplQTdINGdVMUhPMERmeSsxNk1B | |
|
|
94 | d3RvcUUKY2tKTnJxbjRScXg1bTNCSVRiNSs4NmZVb2dVTlBDdXk3aG1KT084U1VYZEhJcjUrOGZk | |
|
|
95 | Q2kzR3NGVTR2UzhRM2hLZUVzMThKNTFPaQpsL3lwdFJqSGN1WGwwcjZxLzlGMU9CWFBaOXhuVi9h | |
|
|
96 | dXYveTkwQUxoNEM0OFVXSzdHaGRVNEZ5RDg3UHpoY0x4RjZzNDEyZitYbWdCClRzWWYyS0t6UUlj | |
|
|
97 | M01RUFRjWXRZRTlkanlTU2NOK0hhd3JnaGRtaWptRFBKYzZlTHFYbzdIalh4aHFNcVAvRlRicGpB | |
|
|
98 | dHJkYTVEZ1gKSzRVbTEwejIwaVB4SFQ3RmdTWDJ5MFN0Q3ZkcWZzUVIrQVVYbGp5elZIbGlXaW1p | |
|
|
99 | N3A0SmZKbUZQM0Y4Tmw2UDF4UHl3MEg0QkhlVwoyTHJSZ3FqWnR4YkdHM0ZlMlVzUHdFZjRBY2Uw | |
|
|
100 | Mldiak50RXJ5UC9VeHlLaWMyelMybU1ZRmx2ZkQ4dGVsbkh1d2ZiczNuWTBSRjA4CkxSdXZidU9x | |
|
|
101 | eXcrcjhJQk9vYnZWZ2tqQ3R4Ykd5L0Z5MlVzZkZ4R3dIZTlreHdoKzEyelk3TlFzMHVlS2dqN0h1 | |
|
|
102 | M2hRSklpMzhYZjIKekc0aFVoRVhpM28zNS8xZWJDNG13d2NpZWxQeEw4YUoyYlB0UW5lckJiRkxY | |
|
|
103 | Rm9ZTDhLMy8vRk5YV09lbUdaSmQwb1p6c1JqV3FPbApMdWJnaXV5OFRPZ3EyS1kxTVM0VTZ6dnFO | |
|
|
104 | M0pnSnU3REFySC9UNDNYUktJN0JROGw0R3ZnY2p5WmdLdUliU0xTYzh3UWVRdjFoZDVmClpOaEw4 | |
|
|
105 | YVhPOWF3T0xzRmJtcHVPVjBSMWNXaE4zbmtpZWE4U2ErMENVWHRmVjVOM1JDVHdISWVMNWFzMnBn | |
|
|
106 | dG44NmJOVk9XOTRLcTQKVW12dHVsYXNtU2xtWVJGUFM3TjBMQkhOckJ3YlJBRFdScjc3S2g0clVo | |
|
|
107 | Qm5HQmIxOHdvaHhHYVJ2RkxpZXRHRmUwL01vRHBvNEJIYwpMQUp3alVJTG9FNHZZS2FJNGlKK0U5 | |
|
|
108 | VkFTa3dSb3U5SXpFdE03eHlqK0NrQjU1Qm1OVFRBQUFNTVVBZi9BaVQyRkJhVnNBdFZBQUFBCkFF | |
|
|
109 | bEZUa1N1UW1DQwo= | |
|
|
110 | </png> | |
|
|
111 | <latex>$$Z_{2} X_{3} X_{4} Z_{0}$$</latex> | |
|
|
112 |
|
|
|
|
113 | </output> | |
|
|
114 | </outputs> | |
|
|
115 | </codecell> | |
|
|
116 | <codecell> | |
|
|
117 | <input>M2 = Z(3)*X(4)*X(0)*Z(1); M2 | |
|
|
118 | </input> | |
|
|
119 | <language>python</language> | |
|
|
120 | <prompt_number>5</prompt_number> | |
|
|
121 | <collapsed>0</collapsed> | |
|
|
122 |
|
|
|
|
123 | <output> | |
|
|
124 | <output_type>pyout</output_type> | |
|
|
125 | <text>Z β X β X β Z | |
|
|
126 | 3 4 0 1</text> | |
|
|
127 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZvQUFBQVlDQVlBQUFCNk9PcGxBQUFBQkhOQ1NWUUlD | |
|
|
128 | QWdJZkFoa2lBQUFBM1JKUkVGVQphSUh0MlZ0b0hIVVV4L0ZQVFRTWTFyVEVlaUhlU2xFRXhVdjFR | |
|
|
129 | VlFNb2dnaVhsRXFYaWhhVlBMbUZhbElVYWdpZlJFVXRQaWlnbFFLCm9paUtLQ3Bvc1NnSVFRVEJL | |
|
|
130 | cUtVV0MxNG9kWjZhVnJqdzVuTlRpYXpKanZ6bjlXSC9HQmg1LytmL2U2WjM1NzVuelAvWlVIL3FZ | |
|
|
131 | N0UKUGt4aEVsL2hIYnlWdlg3SzVxNmRCMnNOeHJQenAvQUhOdWZtTDhNdjJkemYySTdSTG1KdG1w | |
|
|
132 | L1NpMW02RlgvaFRoeGNtTHNhQi9CawpsOHhIc29BZUtwbmJLSUlmNlpMWkMzNFRYa3pyWlZ4ZU1u | |
|
|
133 | NE9mc2RyT0toTDVuSFlqeThLNDZQWVZJSFhLMzRUWG9CRDhIN0orRXJzCndpY1lyQUxHNnlMckxz | |
|
|
134 | eU9UeGUzZVg5Rlh0UDhKcjF3UEM0cGpBMkxUUGtXUjFVRmk4eVl3aGFzd0N0cUJOb0RmcE5lek5J | |
|
|
135 | QXRvcUMKY2twTlZoOTJpRFh2RFJ4ZWs5ZHJma292Wm1nUlhoUlY5NkpFelBVaTZ4NU14T3NWdndr | |
|
|
136 | dnB2V1lDSHBOSWw0L1hoREJmaTJDVDZrbQorYW05bU5ZZHl0dWxRMVgvUlRmaEFyeVVzUyt0SEYx | |
|
|
137 | ditVMTRnUWh3RXMrWHpLM0ZOUldZaitLcTdQM0ZJdkJYcXdUWFkzNFRYb0F6CjhTdmVNN3RCaHcr | |
|
|
138 | eEdFdHhnMmpvbjhIWXZ6RHZ3dTI1NDBYaUNXMC9qcGxuWEp0RkJxWGdIeVllUU1id09NN293SjJ2 | |
|
|
139 | RjNtdHdsTWQKZU5NNkZ0L2hjMkZrVVRlS1hoVTJhR2ZNc0xpb0swcytjNVB5d25TdnlMcUg1d3BL | |
|
|
140 | L0tDVFdKS0l2MUU3TVpiakd3d1Z6dW5HaTliNQo2L0dtZURUdnFDRjhodTl4UW1GdUJPdkVYc0Z0 | |
|
|
141 | MmRnS25KMDdadzl1eVIwUFpCZjBhWWZ2RzhsNEU5bTVuYlFTTitNM000MnV5aC9FClhqTWZ4N2Rp | |
|
|
142 | ZGU2NFd5L3lHak9IMGMrS0RKakF4OWxySEx1MU4yejJLVy9TUi9FbGxvbmIreVA4bVgzbWdOaUh5 | |
|
|
143 | T3M2MGUrMnVEdkYKdzBWUmZYZ2dlOTh5dWk3L1pHRlN2aVBaSXJxS0ZGN01hWFFWRFlzc2ZoY25w | |
|
|
144 | WWFMakdsZFRER2pxK3A4a2RGNVBZZW5FN0RwWUhUZApqWnlmUlRWZWl3OUVJVWlsVlNLamRpVmtF | |
|
|
145 | dXZ4VkdGc3NiaVd4bFRINkxlMUsvME8vSUM3YTBmVTFtcFI5ZGVKWWplQWUzQldUZTVPClVVL3kz | |
|
|
146 | Y0xSNGhyK2w5cUc4N0wzL2FJTnVyK2g3MW91c2pERjBrRnNiYmEyUG9kRWtwUjFGbFZVdW5UMDFR | |
|
|
147 | Q080d3FjaVB2RTByRkIKRkpxVU9sWDB2T2VLSDNRQ1A5WmtiaE14THhGdDJoT2l5NmlqcGVJT3Z4 | |
|
|
148 | Nm5pV0s3VjdiMHBkZ0xHQlIvSHhYWHZWUWFOTFBIM1oxOQpYd29OaUoyK0ZPckRFWVd4UFdZWDNn | |
|
|
149 | VXRhRUVMbXEvK0FTMkNFZmVpa09YakFBQUFBRWxGVGtTdVFtQ0MK | |
|
|
150 | </png> | |
|
|
151 | <latex>$$Z_{3} X_{4} X_{0} Z_{1}$$</latex> | |
|
|
152 | <prompt_number>5</prompt_number> | |
|
|
153 | </output> | |
|
|
154 | </outputs> | |
|
|
155 | </codecell> | |
|
|
156 | <codecell> | |
|
|
157 | <input>M3 = Z(4)*X(0)*X(1)*Z(2); M3 | |
|
|
158 | </input> | |
|
|
159 | <language>python</language> | |
|
|
160 | <prompt_number>6</prompt_number> | |
|
|
161 | <collapsed>0</collapsed> | |
|
|
162 | <outputs> | |
|
|
163 | <output> | |
|
|
164 | <output_type>pyout</output_type> | |
|
|
165 | <text>Z β X β X β Z | |
|
|
166 | 4 0 1 2</text> | |
|
|
167 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZvQUFBQVlDQVlBQUFCNk9PcGxBQUFBQkhOQ1NWUUlD | |
|
|
168 | QWdJZkFoa2lBQUFBMkJKUkVGVQphSUh0MkYyb1psTVlCL0RmbURPT1lUZ2lUTWZId1pTTHVaQTBr | |
|
|
169 | Z3VUU0EzSlIrUEs2QlROaUpxY0tXRW01SXhHY2pFcE53ZEpTb1NKCmlLSVFUY3FVbWpRMVJVTytC | |
|
|
170 | bzBNSVYvejRiaDQxbnZPUHUvWisrVGRlKzNYaGZPdlhYdXRaNi8vZXZaL1AzdXRaejNNNHovRnlU | |
|
|
171 | aUEKU1J6RUhyeUZOOU8xUDlsVy93dXVVZXhNejAvaUR6eGJzRitKbjVMdGIzeUNsVDM0MmpaL1Rp | |
|
|
172 | MW00U2I4aFRFczZySmRpOE40dEVmTwpMY21oKzB0c0R3dm5oM3ZrN0FkL0cxcE00U1ZjVmRKL0lY | |
|
|
173 | N0hxemlpUjg3VGNRZ2ZkL1d2eEVRTnZuN3h0NkVGT0JMdmxmU2ZqWDM0CkVFZlhJY1pySXVvdVNl | |
|
|
174 | MXp4VzgrVUpPdmJmNDJ0WEFHTHUvcU8wRkV5aGM0cFM2eGlJeEpQSTh6OGJJR2p2YUJ2MDB0Wm1F | |
|
|
175 | UTI4V0cKc3J3aDEwSjhKZGE4MTNGaVE3NSs4K2ZVWWdZVzREbXg2MTZhaWZNK0VYWDNaT0xyRjM4 | |
|
|
176 | YldremhJZUgwYUNhK0FUd2puUDFNT0o4VApiZkxuMW1JS3R5aFBseGFyLzBVbmNERzJKZTVWdGIz | |
|
|
177 | ckwzOGJXaUFjUElpblMydzM0N29hbkEvaW1uUi9tWEQ4bFRyTzlabS9EUzNBCmVmZ0Y3NWlkb01Q | |
|
|
178 | N09LYXJiN2w0MFNwc3dMcENlNEU0b1IzQ3FYT01XNEZOYWZ4bTFmbHFYZjQ3elMxVXIxcU00bDQ4 | |
|
|
179 | bnZ5dXpLOVAKd3pmWWphRVMrdzBpVnkxaUVkN0ZreFdjYTVSdlRIZUlxQnV2R0hjc1BzVlJxVDJP | |
|
|
180 | QnpMeHIwcjlYK1BHaXZsNzFXSTFya2ozQTlpQgpyV1hFeDJFWHZzTklsMjBZRzBXdFlHMlhiVDN1 | |
|
|
181 | Tmx2b1FYSDAvYWppUllZVDM5NzBiRGZHOEdLaGZiNTQ4Vno4UkVTV0NWMUhpd2x4ClN1eGdJNzRz | |
|
|
182 | bS9RcEVRRjd4ZGZZSVlvMVA1c3UyQnd3TTBtL1NLeUhhMDBMdlJnZjRNODA1ckNvUXhSeHZjaDNP | |
|
|
183 | N3pmaXNORkVSTjQKcE5CZW1wNGR5Y1JQdGRCMXREZ0xGeFRhVzlPNHhsaUMyOU45VWVoYzJHYm11 | |
|
|
184 | ajhrWHZDY2pITlVDZDBVeDR1L1lhcEsyS1NRc3c1UApOUFZvRG53dWhPMmdzK244Mk9LY09iQVFq | |
|
|
185 | NG1NWkh1bnM2N1FJeUxUMkNEV29xdEZBZWV1Wmo3T3dFNVJDKzVncWFpVy9aQnhqall3Ckx2YU9O | |
|
|
186 | OHhlM3h0amkveEx4ekpSdk9rRXd5WVZ1M2dENUY0NmJoTnJOWkZpYnM3SWJZMkl2ajNpQkpVVDYw | |
|
|
187 | VjAzQ3FLNjdtS1JDdEUKcHJRZmI2ZDVtbFlSeDB4dmxKM3JoWTR4UnkzZ0pMRXVTZVQ3TW5CMlkx | |
|
|
188 | QlU1SEpoU2JxSytGNmtiSFV4SkRLdUluN0RydzA0NXpHUAplZnkvOFE4S29RMjJ6LzN3eXdBQUFB | |
|
|
189 | QkpSVTVFcmtKZ2dnPT0K | |
|
|
190 | </png> | |
|
|
191 | <latex>$$Z_{4} X_{0} X_{1} Z_{2}$$</latex> | |
|
|
192 | <prompt_number>6</prompt_number> | |
|
|
193 | </output> | |
|
|
194 | </outputs> | |
|
|
195 | </codecell> | |
|
|
196 | <markdowncell> | |
|
|
197 | <source>These operators should mutually commute.</source> | |
|
|
198 | </markdowncell> | |
|
|
199 | <codecell> | |
|
|
200 | <input>gate_simp(Commutator(M0,M1).doit()) | |
|
|
201 | </input> | |
|
|
202 | <language>python</language> | |
|
|
203 | <prompt_number>7</prompt_number> | |
|
|
204 | <collapsed>0</collapsed> | |
|
|
205 | <outputs> | |
|
|
206 | <output> | |
|
|
207 | <output_type>pyout</output_type> | |
|
|
208 | <text>0</text> | |
|
|
209 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUF3QUFBQVNDQVlBQUFCdnFUOE1BQUFBQkhOQ1NWUUlD | |
|
|
210 | QWdJZkFoa2lBQUFBTjFKUkVGVQpLSkhOMGkxTFJGRVF4dkdmN2k2THJHRTNhZENvVWJBWkJUK0d6 | |
|
|
211 | V0FUaTlWbTIyRDNROWd0WnFObzhXWE5naTlCVUhCZFVNTzlGOGJECmxHMU9PY3d6OHo5emVNNHda | |
|
|
212 | Y3dVK1JLR2VNUWJPampHYXdhM01NSnUwSTV3aHRrTTJNWVl2YUN0NEFjN0dYQ0o4MFIvd0dtVE5L | |
|
|
213 | UGEKV01OOUFveXdXUUlMS2dQZUUrQURBM1Fqc0JpS0dRRDlDSXpyOHpzQk9ySFdBTGY0U3BxcFhK | |
|
|
214 | dmdKUUlUM05SdkxXTWVUeXA3LzN6SQpGWmFMNWhiV2NaMk5QbEN0d0Z6UU51cWJ0ekpnZ0R2c0Jl | |
|
|
215 | MEVGN0dwWEw1VkhPS3p6bnZZeDNNMjRaL0VMOVhvS0JOSStWMHhBQUFBCkFFbEZUa1N1UW1DQwo= | |
|
|
216 | </png> | |
|
|
217 | <latex>$$0$$</latex> | |
|
|
218 | <prompt_number>7</prompt_number> | |
|
|
219 |
|
|
|
|
220 | </outputs> | |
|
|
221 | </codecell> | |
|
|
222 | <markdowncell> | |
|
|
223 | <source>And square to the identity.</source> | |
|
|
224 | </markdowncell> | |
|
|
225 | <codecell> | |
|
|
226 | <input>for o in [M0,M1,M2,M3]: | |
|
|
227 | display(gate_simp(o*o)) | |
|
|
228 | </input> | |
|
|
229 | <language>python</language> | |
|
|
230 | <prompt_number>8</prompt_number> | |
|
|
231 | <collapsed>0</collapsed> | |
|
|
232 | <outputs> | |
|
|
233 | <output> | |
|
|
234 | <output_type>display_data</output_type> | |
|
|
235 | <text>1</text> | |
|
|
236 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUFzQUFBQVNDQVlBQUFDTmRTUjFBQUFBQkhOQ1NWUUlD | |
|
|
237 | QWdJZkFoa2lBQUFBR0JKUkVGVQpLSkh0MGJFTlFHQVFodUVuV3AxQ1pRRmJxRXhoT0kxQnRFYkFC | |
|
|
238 | Z29qL0FvS2tjZ2ZDWjIzdVV2dXZjdVhIQzlRWUk1SktXcU1DTmRoCmN1cExkS2l3UEluUnhpNUgr | |
|
|
239 | ZVhYNWV5bytkMWlqaDZUL1hzQkt3WTBUeEo4ekFaQmNneThUWnFOVGdBQUFBQkpSVTVFcmtKZ2dn | |
|
|
240 | PT0K | |
|
|
241 | </png> | |
|
|
242 | <latex>$$1$$</latex> | |
|
|
243 | </output> | |
|
|
244 | <output> | |
|
|
245 | <output_type>display_data</output_type> | |
|
|
246 | <text>1</text> | |
|
|
247 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUFzQUFBQVNDQVlBQUFDTmRTUjFBQUFBQkhOQ1NWUUlD | |
|
|
248 | QWdJZkFoa2lBQUFBR0JKUkVGVQpLSkh0MGJFTlFHQVFodUVuV3AxQ1pRRmJxRXhoT0kxQnRFYkFC | |
|
|
249 | Z29qL0FvS2tjZ2ZDWjIzdVV2dXZjdVhIQzlRWUk1SktXcU1DTmRoCmN1cExkS2l3UEluUnhpNUgr | |
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250 | ZVhYNWV5bytkMWlqaDZUL1hzQkt3WTBUeEo4ekFaQmNneThUWnFOVGdBQUFBQkpSVTVFcmtKZ2dn | |
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251 | PT0K | |
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|
252 | </png> | |
|
|
253 | <latex>$$1$$</latex> | |
|
|
254 | </output> | |
|
|
255 | <output> | |
|
|
256 | <output_type>display_data</output_type> | |
|
|
257 | <text>1</text> | |
|
|
258 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUFzQUFBQVNDQVlBQUFDTmRTUjFBQUFBQkhOQ1NWUUlD | |
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262 | PT0K | |
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263 | </png> | |
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|
264 | <latex>$$1$$</latex> | |
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265 |
|
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|
|
266 | <output> | |
|
|
267 | <output_type>display_data</output_type> | |
|
|
268 | <text>1</text> | |
|
|
269 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUFzQUFBQVNDQVlBQUFDTmRTUjFBQUFBQkhOQ1NWUUlD | |
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271 | Z29qL0FvS2tjZ2ZDWjIzdVV2dXZjdVhIQzlRWUk1SktXcU1DTmRoCmN1cExkS2l3UEluUnhpNUgr | |
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273 | PT0K | |
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274 | </png> | |
|
|
275 | <latex>$$1$$</latex> | |
|
|
276 | </output> | |
|
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277 | </outputs> | |
|
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278 | </codecell> | |
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279 | <markdowncell> | |
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280 | <source><h2>Codewords</h2></source> | |
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281 | </markdowncell> | |
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282 | <codecell> | |
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283 | <input>zero = Rational(1,4)*(1+M0)*(1+M1)*(1+M2)*(1+M3)*IntQubit(0, 5); zero | |
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284 | </input> | |
|
|
285 | <language>python</language> | |
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|
286 | <prompt_number>9</prompt_number> | |
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287 | <collapsed>0</collapsed> | |
|
|
288 | <outputs> | |
|
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289 | <output> | |
|
|
290 | <output_type>pyout</output_type> | |
|
|
291 | <text>β1 + Z β X β X β Z ββ β1 + Z β X β X β Z ββ β1 + Z β X β X β Z ββ β1 + Z β X β X β Z ββ β0β© | |
|
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292 | β 1 2 3 4β β 2 3 4 0β β 3 4 0 1β β 4 0 1 2β | |
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293 | βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ | |
|
|
294 | 4</text> | |
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295 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQWo0QUFBQWlDQVlBQUFCZnVkTmxBQUFBQkhOQ1NWUUlD | |
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362 | </png> | |
|
|
363 | <latex>$$\frac{1}{4} \left(1 + Z_{1} X_{2} X_{3} Z_{4}\right) \left(1 + Z_{2} X_{3} X_{4} Z_{0}\right) \left(1 + Z_{3} X_{4} X_{0} Z_{1}\right) \left(1 + Z_{4} X_{0} X_{1} Z_{2}\right) {\left|0\right\rangle }$$</latex> | |
|
|
364 | <prompt_number>9</prompt_number> | |
|
|
365 | </output> | |
|
|
366 | </outputs> | |
|
|
367 | </codecell> | |
|
|
368 | <codecell> | |
|
|
369 | <input>qapply(4*zero) | |
|
|
370 | </input> | |
|
|
371 | <language>python</language> | |
|
|
372 | <prompt_number>10</prompt_number> | |
|
|
373 | <collapsed>0</collapsed> | |
|
|
374 | <outputs> | |
|
|
375 | <output> | |
|
|
376 | <output_type>pyout</output_type> | |
|
|
377 | <text>β0β© + β3β© - β5β© + β6β© - β9β© - β10β© + β12β© - β15β© + β17β© - β18β© - β20β© - β23β© + | |
|
|
378 | β24β© - β27β© - β29β© - β30β©</text> | |
|
|
379 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQXFjQUFBQVZDQVlBQUFCN2VFZFRBQUFBQkhOQ1NWUUlD | |
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428 | WENwUDBqdm03LzY2aXJhMjA5ck1GdGNmSVB3aHE5M21YSjMwVVM3K21LMVhJWWsvbkZlblpWRwpp | |
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429 | N3RaYmgyK0dvSE1BVnJrMVpsczlGM2JBWDJ4V3JLNEFOa2piWEtOV3JLMjFkR2VDeTU1MnpLQmJO | |
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430 | UzgxQ3M3RDluZnoxS0czNkc0Clp1MTU1ZFBLOXlBTEhySjZFMEJQekM5SGh1dENMRVlXamxpcTB0 | |
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431 | d3FkcXZJMHp4NkthNjVpbmFzRXpIZXlvNHJrZm1DdHppdmV4RWIKZm1QZUgyM3Fhdkc5aTVhOExL | |
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432 | TFpwZXIyTXpadUI1MlRJUVBXSVp2VVRuTEs5Z2RlVC9NVCs0dVJIcm1zRlhCbHNkbjhYWGQ3cENI | |
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433 | SQpmSWRkTkxybnE5QjNML0loM08rVlQwRytTZHJOY3V2eTFVN2tYejhlNVpVZlpvNC9NOGVxOUsx | |
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434 | ZzREeWFNNUZ2YUU5VXJDVUc3YmtRCnl4bUk3dmxlK2ZISURRVjAyYUE5cjRveURGbUp1aTNqdkNZ | |
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435 | N2ZrSDJ2elNkU1dOZVdGV2FZMkpYVzU3R2FOYlVqbVVSWThjaXBGZHUKanZPeWUzRXVNKzhmUXBm | |
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436 | dkxWcnlNbGJ6Q3VwdlAyUGpkdEE1R1JyV3Z3UHBZcjBFV1NFTDhCNWtqc0FLcDk3WlNFOUcxZHlJ | |
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437 | N0pObAp1N0dIQWhjaFd5ek1SVmFPUVRYNjFpTGZibVlBdnpSbEp5RU9kemZ6cmN0WElKL2h3OGpL | |
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438 | L1VlUVFMb0k2UUd4Z1ZTVnZtMDB1dldICklERjJNUEJwcDA3VnZocU94TTVJODNML0E1SDJYTERr | |
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439 | MlRBTkdTNjZrK2IvalQ2QzVuOEZxc252M1pCWGxqdzdMUHNqOGY3dmpHdG8KOHYxdHlDYmxDMmlz | |
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440 | Rmg2Qi9OZWE5VFQyZ2F4Q2MyenNhc3JUV00yYTJyRVFzWGFFR09NZFFaZnZMUnJ5c29obURlMW5i | |
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441 | TndPT2lmZApoOU1kU0UvYlRtUVY5eExFV1ZzUkJ4eFA4d2F3bzVHNUpsVmd0UUg4QVRnZkdYb2Fo | |
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442 | ZXp6MVkvTVQ3dTlBbjJ1bGhlUWxYNExrVzd2Cm9VZ0FuVWp6a0ZsZHZnSlpSREliQ2FCOXpiazFO | |
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443 | QS9QVmVFcmtFbnpDNUhnN0VHR1U2WlRUVno1V3FZaUt5SjdnSmVac2czbWRSbHcKSC9wekljYUc3 | |
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444 | eU1QZGVjRXJuVzk4M09aTmhUVjNBMTVGV09INVJuZ1QyVFA4ZE1VODl1UkRiMnZBSDVvZm44MGNB | |
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445 | OXdMbzJlbkNvMAp4OFp1M1huYWp1YTYyN0VRN2RqaGNnVHdKUm9MRm05QUhram1vc3YzRmcxNVdV | |
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446 | U3podmF6ajdpNHJUc24yNmJvWEpqL1o1S3Y5bXpTCjUxc1B5ZStKUFowVTQ0bXVwWXpGRHpGc1I1 | |
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447 | N0VFNjFKdnRxelNaOXZQU1MvSi9aMFVvd25Fb2xFSXBGSUpCS0pSQ0tSU0NRU2lVUWkKa1Vna0Vv | |
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|
448 | bEVJcEZJSkRyTmZ3R2ZvaEMzKzZRWnVBQUFBQUJKUlU1RXJrSmdnZz09Cg== | |
|
|
449 | </png> | |
|
|
450 | <latex>$${\left|0\right\rangle } + {\left|3\right\rangle } - {\left|5\right\rangle } + {\left|6\right\rangle } - {\left|9\right\rangle } - {\left|10\right\rangle } + {\left|12\right\rangle } - {\left|15\right\rangle } + {\left|17\right\rangle } - {\left|18\right\rangle } - {\left|20\right\rangle } - {\left|23\right\rangle } + {\left|24\right\rangle } - {\left|27\right\rangle } - {\left|29\right\rangle } - {\left|30\right\rangle }$$</latex> | |
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|
451 | <prompt_number>10</prompt_number> | |
|
|
452 | </output> | |
|
|
453 | </outputs> | |
|
|
454 | </codecell> | |
|
|
455 | <codecell> | |
|
|
456 | <input>one = Rational(1,4)*(1+M0)*(1+M1)*(1+M2)*(1+M3)*IntQubit(2**5-1, 5); one | |
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|
457 | </input> | |
|
|
458 | <language>python</language> | |
|
|
459 | <prompt_number>11</prompt_number> | |
|
|
460 | <collapsed>0</collapsed> | |
|
|
461 | <outputs> | |
|
|
462 | <output> | |
|
|
463 | <output_type>pyout</output_type> | |
|
|
464 | <text>β1 + Z β X β X β Z ββ β1 + Z β X β X β Z ββ β1 + Z β X β X β Z ββ β1 + Z β X β X β Z ββ β31β© | |
|
|
465 | β 1 2 3 4β β 2 3 4 0β β 3 4 0 1β β 4 0 1 2β | |
|
|
466 | ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ | |
|
|
467 | 4</text> | |
|
|
468 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQWtnQUFBQWlDQVlBQUFDazdpYTZBQUFBQkhOQ1NWUUlD | |
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469 | QWdJZkFoa2lBQUFDdXhKUkVGVQplSnp0bld1c1hGVVpocC9UbnA3U2xrSUxoZHFLRlVxRjFrb3BD | |
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470 | b2hZVVFFYmpLaGdWR3ExdEdCVkloWWJFVlM4aTNoQlFZMmlrSUF4ClNMeWdHSlFpdEJwRlZGSkJG | |
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471 | Qk1wQW9wSzVHSkVMVUlGS1hyODhjM08yYk5tMy9kYXMrZnlQc21rcDN0bWY3Tm12ZStzK2ZhNmJS | |
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472 | QkMKQ0NHRUVKV1pEWXcyWFFnaGhCQkNpRjVnS25BVWNBK3diN05GRVVJSUlZUUl6NlFDcnprSm1B | |
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473 | bnNGN2dzUWdnaGhCQjl4empxUVJKQwpDQ0hFRUZDa0Iwa0lJWVFRWXFoUWdpU0VFRUtJWWVhRXBJ | |
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474 | Tzl0Q3B0RFBnNGNHYVgzL2ZWd0xxYzEvd2JtNHMxWGlEZUNIQWxNTTA1Ci9nWGcrdGJmRndQN3hK | |
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475 | NzdHM0JLdzdFamZOZEhWWnJ5QThnVEx2S0Uzem9JclprODBSM2tpUWxDKzJFTU9CYjR2blA4TU9C | |
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477 | MnNBTFlDMHNjUjRGenNjKzlybVRNNmNDTApnSjJ0eHlHWVFTUDJBbllBMTJDaTdONGpzYUYrZmF3 | |
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478 | bytYNjk1Z2VRSjF6a0NmK2VDSzJaUEJFZWVXSUNIM1dSNVlsZGdYYzZ4OTRLClhBRHNpYTIyZncv | |
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479 | d0pMQXFKVWFlWDg3TktWOHFJOWdIckx1UzdYamd0TmovbDJBWjRVM0FmZFF6K3VRSzUreU9aWjFM | |
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480 | RTU1YmkzM20KajlRbzAxV3RHQ3VkNDI4RzNsY2picWpZUHVyakZPQU5CZDh2cEI5QW52QVJXNTRJ | |
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481 | NjRtUWZnZ1ZYNTZRSitMNHFvc3NUN2dKMGlqdwpJUERlMkxFeHpBdjNPK2NXOWN2cHdOd0M1V3hq | |
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482 | TGZCbDRKZkFONENOWlFPMFdBNWM1aHpiQlpqUyt2dmJWRGY2VXVEOEN1ZWRCTHcvCjRmZ3h3QlBB | |
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483 | Vnl1V0oySWxabzZyWXNkT0JENVdNMjZvMkw3cVl6TndkTTVyUXZvQjVBbGZzZVdKc0o0STZZZFE4 | |
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484 | ZVVKZVNLT3o3cEkKODRTYklNMENIZ2QrNDd6dUxxd25hMHJzV0ZHL3pBYmVVYUtzWHRsQ2RnOVVI | |
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485 | YU12Qno1YjRieFBZSlVTWnltd0hSdUxIS3RZbm9nUgpiRHgwSnpBUDIzRHpFdHE3TlhzcHRxLzZP | |
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486 | QUM0bSt3cnM1QitBSGxDbnVpa0Z6MFIwZytoNHNzVDhrUWNuM1dSNW9ta0liYjlzT0cxCmlHbFlR | |
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487 | cllsSTM2ZVh6NU1BNHZYanNVS2xrVVRDWkxMUE9EUHdCMTBDbDZWZDJIWitoWEExL0U3TVQ1a2JL | |
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488 | aFhIeGVRc2pLQThINEEKZVVLZTZLUlhQUkZhTTNraUhYbkNmL3k2ZFpIa2lhUUV5ZVVzNE8vQS9o | |
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489 | bXZ5ZlBMRWNETDh3cm9tMHVBVTNOZTAzU0N0Q3R3Sy9CWAovTzRhdmplVzFUNE83T1l4YnVqWWRl | |
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490 | dGpGZFpkbWtSb1A0QThJVTkwMHF1ZUNLbFo2UGp5aER3UngwZGRKSGtpTFVHYTNUcCtSZXVjCnAr | |
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491 | YkVMdUtYODZJL29xNms4UUNQT0M4RmZwWlRxQ2FaREh3VFdJeGxqMy8wR1B0SmJMbGtkRTg3bjRT | |
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512 | TE1MS1BwLzJMYzgzQU05ci9YMWg2MzAyWVR1VXUwc2EKSDJQQ1ZIVmpnMm13UHZiNlpVeE16S3RU | |
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514 | ZUNIV0FFWU11aWVhMUt4dS9BVmthMWoxTzVMV1prWU11aWNpbXRETWgrZlM5QXZSWmtha2VTTE9y | |
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518 | VDlBdFRyb2htNUptdm1LbmFWaG1mcVlqK2tjMzk3akVXeW9LYzR3ZUFLYTBheHUvQ0lhK200M1lU | |
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519 | ZzgwWlJtUG44N2t2RGRaa1lrCmVlSlJPcE8xemRpdTJRdUJwMkE5Vm84bGxLZUlYNjdGaHZzcWs5 | |
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520 | WTlXSVNqZ2V2cnZIa09Cd09mQ1JqZkphMjd1QzZUc0ZVVnJ3OFEKR3l4VFg0SjlZZHhWSTJXWVRI | |
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521 | dDM1QTEwK3VJaTRFMHA1NGYyQTNUWEV5RjE4NldaU3hFTmkzSVFkc1VmNTByZ2s4NnhZZkZFUDJq | |
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523 | M0NKVWduWXR0cisrYlpjQ1pzZisvCkRldjJMTElSVnhJYmdIZGozWmJyc1N2bFR6R3hPdUpnYk9s | |
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526 | WWF3Rwo1MkJqdGhGblkxMldlU3RFMHBpQmpUVkhqM3VCVjJJVDZTWUR2OEFtOW1VeEtINElwWnR2 | |
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528 | ektLZTZCbDhkdzhlUS9xeTEzNWhCRE9MejN0emJjUWExcXRiajAxMGpndlgKWVFIV2pid0VPQVNi | |
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529 | bFBZV0QzR25ZaE1CdDJOWFNYT3h6L0xHZ3VmM3V4OUM2aFpLTTVja0RhdHdBallKZFE1MmRSaGZm | |
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536 | PT0K | |
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537 | </png> | |
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538 | <latex>$$\frac{1}{4} \left(1 + Z_{1} X_{2} X_{3} Z_{4}\right) \left(1 + Z_{2} X_{3} X_{4} Z_{0}\right) \left(1 + Z_{3} X_{4} X_{0} Z_{1}\right) \left(1 + Z_{4} X_{0} X_{1} Z_{2}\right) {\left|31\right\rangle }$$</latex> | |
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539 | <prompt_number>11</prompt_number> | |
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540 | </output> | |
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541 | </outputs> | |
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542 | </codecell> | |
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543 | <codecell> | |
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544 | <input>qapply(4*one) | |
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545 | </input> | |
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546 | <language>python</language> | |
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547 | <prompt_number>12</prompt_number> | |
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548 | <collapsed>0</collapsed> | |
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549 | <outputs> | |
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550 | <output> | |
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551 | <output_type>pyout</output_type> | |
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552 | <text>-β1β© - β2β© - β4β© + β7β© - β8β© - β11β© - β13β© + β14β© - β16β© + β19β© - β21β© - β22β© | |
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553 | + β25β© - β26β© + β28β© + β31β©</text> | |
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620 | NUNZSUk9Cg== | |
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621 | </png> | |
|
|
622 | <latex>$$- {\left|1\right\rangle } - {\left|2\right\rangle } - {\left|4\right\rangle } + {\left|7\right\rangle } - {\left|8\right\rangle } - {\left|11\right\rangle } - {\left|13\right\rangle } + {\left|14\right\rangle } - {\left|16\right\rangle } + {\left|19\right\rangle } - {\left|21\right\rangle } - {\left|22\right\rangle } + {\left|25\right\rangle } - {\left|26\right\rangle } + {\left|28\right\rangle } + {\left|31\right\rangle }$$</latex> | |
|
|
623 | <prompt_number>12</prompt_number> | |
|
|
624 | </output> | |
|
|
625 | </outputs> | |
|
|
626 | </codecell> | |
|
|
627 | <markdowncell> | |
|
|
628 | <source><h2>The encoding circuit</h2></source> | |
|
|
629 | </markdowncell> | |
|
|
630 | <codecell> | |
|
|
631 | <input>encoding_circuit = H(3)*H(4)*CNOT(2,0)*CNOT(3,0)*CNOT(4,0)*H(1)*H(4)*\ | |
|
|
632 | CNOT(2,1)*CNOT(4,1)*H(2)*CNOT(3,2)*CNOT(4,2)*H(3)*\ | |
|
|
633 | H(4)*CNOT(4, 3)*Z(4)*H(4)*Z(4) | |
|
|
634 | </input> | |
|
|
635 | <language>python</language> | |
|
|
636 | <prompt_number>13</prompt_number> | |
|
|
637 | <collapsed>1</collapsed> | |
|
|
638 | <outputs /> | |
|
|
639 | </codecell> | |
|
|
640 | <codecell> | |
|
|
641 | <input>circuit_plot(encoding_circuit, nqubits=5, scale=0.5)</input> | |
|
|
642 | <language>python</language> | |
|
|
643 | <prompt_number>14</prompt_number> | |
|
|
644 | <collapsed>0</collapsed> | |
|
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645 | <outputs> | |
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646 | <output> | |
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|
647 | <output_type>pyout</output_type> | |
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|
648 | <text>&lt;sympy.physics.quantum.circuitplot.CircuitPlot object at 0x38a6950&gt;</text> | |
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|
649 | <prompt_number>14</prompt_number> | |
|
|
650 | </output> | |
|
|
651 | <output> | |
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|
652 | <output_type>display_data</output_type> | |
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653 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQWhjQUFBQ2xDQVlBQUFEdlJOOGZBQUFBQkhOQ1NWUUlD | |
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678 | M2JzRFcxbGJwYmxpRmlvb0t4TVhGSVM0dVR1bXUxSXZTWTR0UwpqRFcyV0R1ckhUdVZtSXZSSmV4 | |
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679 | YmI3MGxKRWtTOGZIeDlXcFQyKy9IakJrajdPenN4SjA3ZDJxVTNidDNUOWpiMndzdkx5K0Q0cHB5 | |
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680 | CiszUlJWRlFrM04zZEJRRGg0ZUVoU2t0TERXcW50ajdJc1Q4Vk9oejFkdmp3WVdGdmJ5OEFpSmRl | |
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681 | ZWtucDdsaThSWXNXaVNaTm1nZ0EKWXUvZXZVcDNSMmRLakMzbVJxNnh4ZG8xeExIVExKT0wxYXRY | |
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682 | QzBtU3hMLys5YStIZmw5ZVhpNE9IVHFrVjV1YWZxOVdxMFhMbGkxRgo3OTY5TmRiNTRZY2ZoQ1JK | |
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683 | WXM2Y09iWDJVMXY3cHR3K1hWVldWZ29BTlc1LzFZZTJQc2kxUDgzeEJOSG0xcTFiRnRWZmM1ZVhs | |
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684 | MmR4CisxT0pzY1VjeVRHMldMdUdPSGFhM1VUeHZuMzdNSGZ1WE15WU1RUHZ2UFBPUTJVSkNRa29L | |
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685 | U21wZDR3elo4NmdzTEFRQXdjTzFGaCsKN05neEFNYVo0ekxGOW1saVoyY0hBRWE1aEsvay9sU0tv | |
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686 | Nk9qMGwyd0txMWF0Vks2QzdKb2lPZUNNY2NXYTJmTng0dFpMZWc4ZGVvVQpKa3lZQUg5L2Y2eGR1 | |
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687 | N1pHK1lZTkc1Q2NuRnp2T1BmbnVIeDlmVFdXcDZXbEFZRHNxM05OdFgybXB0VCtKREkzUEJkSUg5 | |
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688 | Wjh2SmpOCmxZdkxseTlqeElnUmNITnp3NDRkTzJwa3dRa0pDVkNwVkJwdjFkSFg0Y09ISVVsU3JW | |
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689 | OW94NDRkMGJwMTYzckh1cytVMjJkcVN1eFAKSW5QRWM0SDBZYzNIaTFra0Y3ZHUzVUpnWUNDRUVQ | |
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690 | am1tMjhldXVSODllcFZMRjI2RkZPblRrVndjSEM5WTFWVVZDQTFOUlh0MjdlSAppNHRMamZMczdH | |
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691 | ems1K2Rqd0lBQjlZNTFueW0zejlTVTJKOUU1b2puQXVuRDZvOFhKUlo2L0RYc3pKa3poWTJOalhC | |
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692 | MWRSVjkrL1lWCmZmdjJGYjE2OVJMTm16Y1hraVFKU1pKRWt5Wk5SSDUrdnM1dC92WDNseTVkRW9N | |
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693 | R0RSTHU3dTdDeHNaR05HN2NXQXdZTUVERXhNUUkKSVlSSVNrb1MvZnIxRTg3T3pzTEd4a2FvVkNy | |
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694 | aDUrY24wdExTOU5vV1UyK2ZQdXJieHAvckcyTi9LblE0R3N6UyttdnVMRzEvS2pHMgptQ3RMNnFz | |
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695 | U0d1TFlLUWtoaEtrVEdrbVNJSGRZYlcwYUkxWmQ3WnR5KzB6WmhoTDcwcHhaV24vTm5hWHRUNTRQ | |
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696 | LzgrUytxcUVobmlzCm1NVzBDQkVSRVZrUEpoZEVSRVFrSzhWdVJaWDdVYVZPVGs0bWk2VkxYRk51 | |
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697 | bnlrcHNTK0p6QlhQQjlKVlF6dFdGRWt1VERrM3BNUTgKbExuTmZjbkZXcmVMeUJBOEgwaFhEZkZZ | |
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698 | NGJRSUVSRVJ5WXJKQlJFUkVjbUt5UVVSRVJISmlza0ZFUkVSeVlySkJaa3RsVW9GU1pLTQo5cU5T | |
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700 | MXduK2VYazVHRDkrdlU0CmUvWXNBR0RTcEVudzh2TEM4ODgvanpadDJpamNPeUlpc2thY0ZyRlN4 | |
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701 | NDhmUjNCd01IcjI3SW1iTjI5aXpKZ3hBSURnNEdCY3UzWU4KWGJ0Mnhmang0M0hpeEFtRmUwcEVS | |
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702 | TmFHMHlKV2FQMzY5Vmk4ZURFaUl5TVJHaG9LQndjSEFBOWZ5aW90TGNXbVRadncvdnZ2WThXSwpG | |
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703 | WmcwYVpLU1hkYklIQzd0R2JNK1BZejcwM0x4dXpNdjVqQjI4c3FGbFVsSVNNRDc3NytQSTBlT0lD | |
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704 | d3M3RUZpOFZlT2pvNllPM2N1CkRoNDhpQVVMRmlBcEtjbkVQYTJma0pBUWVIcDZ3c2JHQm8wYk4w | |
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705 | YlBuajBSSGg0T0FMaDA2UktlZmZaWnRHM2JGalkyTm1qZXZEbDgKZkh3UUhSMnRjSytKaUpSbHNy | |
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706 | SFRPRzl5SnlWY3ZueFpxRlFxOGZQUFAyc3MxL1oxWjJSa0NKVktKUW9MQzQzWlBiM1ZkWGltcDZj | |
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707 | TApTWkxFL1Buek5aWkhSVVVKU1pKRVltS2lRZTNYdDMra0grNVB5OFh2enJ5WXc5akpLeGRXWk8z | |
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708 | YXRaZzBhUks2ZHUycVZ6MXZiMjhFCkJnWmk0OGFOeHVtWWtSdzVjZ1FBRUJnWXFMRThKU1VGdHJh | |
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709 | MkNBZ0lNR1czaUlqTW1pbkdUcTY1c0JKVlZWVjQ4c2tuOGQxMzMybE4KTG1xYkovdisrKzh4YmRv | |
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710 | MG5EdDNEalkyNXBGejFqV3ZOM0xrU0J3NGNBREZ4Y1ZvMnJUcFEyVlZWVlZ3Y25KQ3AwNmRjUExr | |
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711 | U1lQYQpyMi8vU0QvY241YUwzNTE1TVlleDB6eitpbEM5SFRseUJLNnVybnBmdGJpdmI5KythTnk0 | |
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712 | c2NYY1BhSldxNUdXbGdadmIrOGFKd2NBClpHWm1vcXlzRElNR0RWS2dkL0xLeTh2RDJMRmpFUkFR | |
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713 | Z0RObnppamRIU0xGVkZkWFk5R2lSZWpYcng4MmI5NnNkSGNza3FuR1RqN24Kd2twY3UzWU43ZHUz | |
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714 | TjdpK0pFbHdkM2RIWGw2ZWpMMHludXpzYkpTVWxNRGYzMTlqZVVwS0NnREF6OC9QaEwweWpxbFRw | |
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715 | eUlsSlFWcQp0UnFCZ1lHNGVQR2kwbDBpVWtSY1hCeFdyRmlCc3JJeVpHZG5vM2Z2M25qcXFhZVU3 | |
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716 | cFpGTWRYWXFmZTBpQ1JKOVFwSXBBOXRoK2Z5CjVjdng2cXV2d3R2YlcrT2phRE16TTFGY1hJejgv | |
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717 | SHkwYU5GQ1l4czhsb25JV2lrK2R0YTU1Sk1zd3E1ZHU4U3dZY05xL1V4ZFgvZUEKQVFQRXdZTUg1 | |
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718 | ZXhXdmRUVzN6Rmp4Z2c3T3p0eDU4NmRHbVgzN3QwVDl2YjJ3c3ZMeStEMjY5cy9PUjA2ZEVnNE9E | |
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719 | Z0lBQ0kyTnRZawpNWlhBNGNoeW1lcTdLeWdvRUowNmRSSUF4TGh4NDBSMWRiVko0bG9hY3hnN3Vl | |
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720 | YkNTdmo2K2lJOVBSMDNidHd3cUg1dWJpNSsrZVVYCitQajR5Tnd6K1FraGNQVG9VZlRvMFFQMjl2 | |
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721 | WTF5ck95c2xCZVhtNFY2eTBBWVBEZ3diaDE2eFlBWU9iTW1RcjNoa2c1TFZ1MnhMbHoKNXdBQVc3 | |
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722 | ZHVOWnZGNTViQ2xHTW52eGtyMGFKRkN3UUhCMlBEaGcwRzFWK3paZzJtVEptQ1J4OTlWT2FleWUv | |
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723 | TW1UTW9MQ3pFd0lFRApOWllmTzNZTWdIV3N0N2lQZ3lnUjFaY3B4MDZPV0ZZa0lpSUNuMy8rT1c3 | |
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724 | ZnZxMVh2ZUxpWXF4YnR3NXo1c3d4VXMva2RmOGViVjlmClg0M2xhV2xwQUdBMVZ5NklpT1JneXJH | |
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725 | VHlZVVY4ZmIyeHBBaFF6Qmh3Z1JVVkZUb1ZLZXNyQXhqeG96QjVNbVQ0ZW5wYWVRZXl1UHcKNGNP | |
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726 | UUpLbldFNlJqeDQ1bzNicTFpWHRHUkdTK1REbDJNcm13SXBJa0lUbzZHdmIyOWhnMmJCZ3VYNzVj | |
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727 | NitkLy8vMTNQUHZzczNCegpjOE5ISDMxa29sN1dUMFZGQlZKVFU5RytmWHU0dUxqVUtNL096a1or | |
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728 | Zmo0R0RCaWdRTytJaU15VHFjZE9KaGRXeHM3T0RsdTJiTUhBCmdRUFJ2WHQzaElTRTRNQ0JBdytt | |
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729 | U2twTFM3RjM3MTRFQlFYQjI5c2J3Y0hCMkxoeG85blA2ZWZrNU1EUHp3K2VucDRvS0NoQVRrNE8K | |
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730 | ZkgxOXNXclZLZ0RBN3QyNzBiOS9md3daTWdTU0pDRXBLUW4rL3Y0NGZ2eTR3ajBuSWxLT1VtTW5I | |
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731 | Lzl0eFc3ZnZvMHZ2L3dTcTFldgp4cmx6NTFCV1ZnWUhCd2Q0ZVhsaDl1elptRGh4b3NZVncrYkNI | |
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732 | RjRiYk16NjVoN1AxS3g5KzZ3Wnp3WHpZZzVqSjVPTEJzVFNUa2h6Ck9FR01XZC9jNDVtYXRXK2ZO | |
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733 | ZU81WUY3TVlldzA3MnZoSkN1ZWpFUkVaQXA4dHdpWk5XTStvdHZKeWNsb2JSTVJLVW5wc1pQSkJa | |
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734 | a3QKWG1raEl0S2ZPWXlkbkJZaElpSWlXVEc1SUNJaUlsa3h1U0FpSWlKWk1ia2dJaUlpV1RHNUlH | |
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735 | b2dWQ29WSkVreTJvOUtwVko2RTRuSQpUUEFoV2tRR3NyUUhCNW5EZzNXTVdaK1VZMm5uQWhrZnIx | |
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736 | d1E2YWlxcWdwYnQyNUZTRWdJK3ZYckJ3QjQ3cm5uOE9HSEh5SS9QMS8yCmVPWGw1WWlMaTBOUVVC | |
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737 | RDY5T2tEQUJnNmRDaVdMMStPbXpkdnloNlBpRWd1VEM2STZsQlZWWVhJeUVpNHVibGg1Y3FWR0Qx | |
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738 | Nk5ENysKK0dNQXdNS0ZDM0hod2dWMDd0d1pvYUdoK08yMzMrb2Q3ODZkTzNqampUZlFybDA3Yk5t | |
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739 | eUJWT25Uc1h5NWNzQkFIUG56a1Y2ZWpyYwozZDBSRmhhR3ZMeThlc2NqSXBJYnAwV0lhbEZhV29x | |
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740 | UWtCRFkyZGxoMmJKbDZOcTE2NE95UDErYUxTNHVSblIwTkZhdVhJbXZ2LzRhClBqNCtCc1hMejg5 | |
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741 | SFlHQWdPblhxaE1qSVNIVG8wRUZqdkx5OFBIejg4Y2ZZdG0wYjl1N2RDdzhQanpyYjFuWXBPU1Fr | |
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742 | QkwvODhndk8KblR1SFJvMGF3Y3ZMQ3o0K1BsaTllalV1WGJxRW1UTm40dno1ODdoNjlTb2NIUjNS | |
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743 | dVhObnpKZ3hBeEVSRVRxMXJ5dGU2clpjbkJhaApHZ1FSYVZSWldTbUdEaDBxWnM2Y0tlN2R1MWVq | |
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744 | WE5QcDgvWFhYNHRXclZxSnMyZlA2aDN2OXUzYm9uZnYzdUt0dDk0U2FyVmFwM2pyCjFxMFQ3ZHEx | |
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745 | RTFldVhLbXovZHBPOS9UMGRDRkprcGcvZjc3RzhxaW9LQ0ZKa2toTVREU29mVjF3T0xKY3B2N3Vl | |
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746 | S3lZUHo3K20waUwKVmF0V29hcXFDbXZXcklHdHJhMU9kVWFOR29XclY2OWl4b3daK1A3NzcvV0t0 | |
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747 | MlRKRW5UczJCRWZmdmloenU4RmVQNzU1NUdUazRPWApYMzRaMjdkdjF5dmVueDA1Y2dRQUVCZ1lx | |
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748 | TEU4SlNVRnRyYTJDQWdJTURnR0VUVWNuQlloMGtBSUFVOVBUNnhac3dhREJnM1MrQmx0CmwyYnYz | |
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749 | YnVIOXUzYlk5ZXVYZWpWcTVkTzhlN2V2WXQyN2RyaDJMRmo2TlNwazE3eFNrdEw0ZWJtaHA5Kytn | |
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|
750 | bHQyN2JWR3FPMlM4a2oKUjQ3RWdRTUhVRnhjaktaTm16NVVWbFZWQlNjbkozVHExQWtuVDU0MHFI | |
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751 | MWQ4RkszNWVLMENQMFZGM1FTYVpDU2tvSkdqUnBoNE1DQgpldGR0MUtnUndzUERFUk1UbzNPZGJk | |
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|
752 | dTI0ZW1ubjlhYVdOVEcwZEVSa3lkUHh0cTFhL1d1Q3dCcXRScHBhV253OXZhdWtWZ0FRR1ptCkpz | |
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753 | ckt5clFtV1VSRWY4WGtna2lEN2R1M1kvcjA2UWEvdG5qNjlPbDZUVlBzMkxFRDA2ZFBOeWlXSWZI | |
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754 | K0xEczdHeVVsSmZEMzk5ZFkKbnBLU0FnRHc4L016dEh0bVpmdjI3WGpxcWFjd2JOZ3dGQllXS3Qw | |
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755 | ZE1tTzNidDFDVUZBUU9uVG9nRTJiTmluZEhZdkNOUmRFR2hRVQpGTlRyZitwdDJyVEJyVnUzVUYx | |
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756 | ZHJkTjZqWUtDQXJpNnVob2NyMTI3ZGlnb0tEQ283djMxRnNuSnlUaHg0a1NOOHN6TVRFaVNaQlZY | |
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757 | CkxrcExTekZseWhSVVZGVGcwcVZMV0xSb0VkYXNXYU4wdDhoTUxWbXlCTW5KeWFpc3JFUjRlRGlH | |
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758 | RFJzR0Z4Y1hwYnRsRWZSZWMySG8KLytTSVNIbWFUdmVRa0JEczJiTUhOMi9laEwyOS9VTmwxZFhW | |
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|
759 | YU5hc0dkemQzWEg2OU9sYTIrYllRRVQzNlQwdElvVGdEMytzL2ljOApQQnlmZnZwcHJaK3A3WHk0 | |
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760 | ZnYwNkhCMGRkWTRYRkJTRXhNUkVnK1A5K09PUDZOeTVjNTMxTlozUFI0OGVSWThlUFdva0ZnQ1Fs | |
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761 | WldGCjh2SnluYTlhMUdlZm0ycDgrZXl6ejlDOGVYTUFRRTVPanVMSG1qWDhtUHB2ZzZuaTVlWGxQ | |
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762 | VmlVdlhUcFVzWDNzeVg5Y00wRmtRWWoKUjQ1RVFrS0N3ZlVURWhJUUZCUmt0dkh1TzNQbURBb0xD | |
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763 | N1V1WEQxMjdCZ0E2MWx2QVFBdnZmVFNnOGVuMTJjcWlxeGZxMWF0a0pXVgpCUUI0ODgwM0ZlNk5a | |
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764 | V0Z5UWFUQjhPSERjZjM2ZFkxckVPcWlWcXNSSFIxZDR3bVd0UWtORGNXUkkwZVFtNXVyZDd6eThu | |
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765 | SnMyTEFCCnMyZlAxcnZ1L2ZVV3ZyNitHc3ZUMHRJQXdDcldXeENSNlRDNUlOTEExdFlXczJmUHhn | |
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766 | Y2ZmUERnTXF5dXRtM2JocVpObTZKLy8vNDYKMTNuMDBVY3haY29VUkVWRjZkdFZyRjY5R3M4ODg4 | |
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767 | eERqd3JYMWVIRGh5RkpVcTNKUmNlT0hkRzZkV3U5MnlhaWhvdkpCWkVXOCtiTgp3N1ZyMTdCbzBT | |
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|
768 | S2RFNHkwdERUTW5Uc1hhOWV1MVh1QjR6Ly8rVThjUEhqd3dVdktkTEY3OTI0c1hib1VLMWFzMENz | |
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769 | V0FGUlVWQ0ExCk5SWHQyN2ZYdUFJK096c2IrZm41R0RCZ2dONXRFMUhEeHVTQ1NBdDdlM3ZzM3Iw | |
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|
770 | YisvZnZ4NnhaczJwOUEybGxaU1ZpWTJNeGV2Um8KZlBIRkZ3YTl1S3hGaXhiWXQyOGZWcTVjaVlV | |
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|
771 | TEY2S29xRWpyWjh2S3l2REpKNThnTEN3TVNVbEplajE4S3ljbkIzNStmdkQwOUVSQgpRUUZ5Y25M | |
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|
772 | ZzYrdUxWYXRXQWZnalllbmZ2eitHREJrQ1NaS1FsSlFFZjM5L0hEOStYTzl0SXFLR2lZLy9KcXJE | |
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|
773 | N2R1MzhmcnJyK09yCnI3N0MwS0ZEOGNJTEw2QkRodzVvMzc0OWZ2enhSMnpmdmgzcjFxMkRoNGNI | |
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|
774 | UHY3NFk1MGYrYTFOUVVFQkZpeFlnTjI3ZDJQczJMR1kKTVdNR1hGMWQ0ZTd1am95TURHemV2Qm1i | |
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775 | Tm0xQ256NTk4T21ubitLcHA1N1NxVjFqUHpMWjBoNy96VWRJeThmYXZ6c2VLL3BqY2tHawpvNXMz | |
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776 | YjJMVHBrMUlTRWhBWGw0ZUxsMjZoQzVkdW1EdzRNR0lpSWhBbHk1ZFpJMlhuNStQMk5oWWJOMjZG | |
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|
777 | UVVGQmNqTnpVVzNidDBRCkdCaUk4UEJ3dUx1NzY5VWVrd3RsNDFremEvL3VlS3pvajhrRlVRUEI1 | |
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|
778 | RUxaZU5iTTJyODdIaXY2NDVvTElpSWlraFhmTFVMVWdCanoKRWQxT1RrNUdhNXVJTEF1VEM2SUdn | |
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|
779 | cGQxaWNoVU9DMUNSRVJFc21KeVFVUkVSTEppY2tGRVJFU3lZbkpCUkVSRXNtSnlRVVJrQVZRcQpG | |
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|
780 | U1JKTXRxUFNxVlNlaFBKaXZBaFdrUmtGdmhncE5xWjgwUFFyUDI3czdSanhSend5Z1VSS2VMOCtm | |
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|
781 | TllzR0FCdW5idGlqWnQyZ0FBCnZMMjk4ZEZISDZHd3NGRDJlTm5aMlFnUEQ0ZW5wK2VEVjhqMzc5 | |
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|
782 | OGZNVEV4S0MwdGxUMGVVVVBHNUlLSVRPcjA2ZE1JQ0FpQXI2OHYKbWpScGd2ajRlR1JrWkFBQS92 | |
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|
783 | T2YvK0NubjM1Q2h3NGRNR3ZXTE55OGViUGU4WTRmUDQ0QkF3Wmd4SWdSYU51MkxiWnMyWUlUSjA0 | |
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|
784 | QQorT00xOXdjT0hJQ2JteHZtejUrUDh2THllc2NqSWdDQ2lNaEVVbE5UaGJPenM0aU9qaFozNzk1 | |
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|
785 | OXFPelB3MUYrZnI2WU0yZU84UEx5CkVsZXVYREU0M280ZE8wVExsaTNGbDE5K0thcXFxclRHeTgz | |
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786 | TkZSTW5UaFQ5K3ZVVHhjWEZCc2N6Sm0zRDlaZ3hZNFNIaDRlUUpFblkKMmRtSnA1OStXcno0NG90 | |
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|
787 | Q0NDRXVYcndvQmc4ZUxKNTQ0Z2toU1pKbzFxeVo4UGIyRnA5Ly9ybk83ZGVuYjhaaTdmR3NBZmNZ | |
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|
788 | RVpsRQpkbmEyY0haMkZ2djM3OWRZL3RjQlhLMVdpOGpJU05HOWUzZFJVbEtpZDd6N2lVeFdWcFpP | |
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|
789 | OGFxcnE4WGN1WE9Gdjc5L2pjVEhITlQyCkJ5NDlQVjFJa2lUbXo1K3ZzVHdxS2twSWtpUVNFeE1O | |
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|
790 | YXI4K2ZUTUdhNDluRFRndFFrUW1NV2ZPSEVSRlJlRzU1NTdUNmZPU0pHSHgKNHNYbzNyMDcvdjN2 | |
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|
791 | ZitzVlM2MVdZOWFzV1lpTGkwT3ZYcjEwcW1Oalk0UGx5NWZEenM0TzY5YXQweXVlMG80Y09RSUFD | |
|
|
792 | QXdNMUZpZQprcElDVzF0YkJBUUVtTEpiMUlBeHVTQWlvenQxNmhSeWNuSXdmZnAwdmVyZFR6RFdy | |
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|
793 | MStQeXNwS25lc2xKeWZEeWNrSnc0WU4weXVlCnJhMHQvdkdQZnlBbUpzYWk3ZzQ0ZlBnd0dqZHVE | |
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|
794 | RjlmM3hwbFZWVlZTRXRMUTdkdTNkQzhlWE1GZWtjTkVaTUxJaks2bUpnWWhJZUgKbzFFai9kK1Y2 | |
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|
795 | T0hoQVM4dkwrellzVVBuT3RIUjBZaUlpRERvTGJCK2ZuNVFxOVU0ZXZTbzNuV1ZvRmFya1phV0Jt | |
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796 | OXZielJ0MnJSRwplV1ptSnNyS3lqQm8wQ0FGZWtjTkZaTUxJaks2UFh2MklEUTAxT0Q2b2FHaDJM | |
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797 | MTd0MDZmcmE2dXh0NjllekZwMGlTRFlrbVNwRmM4CnBXVm5aNk9rcEFUKy92NGF5MU5TVWdEOGtU | |
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798 | UVJtUXBmdVU1RVJsZFlXSWpISDMvYzRQcVBQLzQ0aW9xS2RQcHNTVWtKSEJ3Y1lHOXYKWDY5NEZ5 | |
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799 | NWNNTGkrS2QxZmI1R2NuUHpnRnRzL3k4ek1oQ1JKdkhKQkpxWDNFem9OdWN4SVJFVDFwMm00RGdr | |
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800 | SndaNDllM0R6NXMwYQpDVlYxZFRXYU5Xc0dkM2QzbkQ1OXV0YTJPYmFUblBTK2NtRkppNXlJeUR5 | |
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801 | NHVibmh1KysrZzRlSGg5YlAxUGFJNVppWUdLU25weU11CkxxN09XR3ExR3ZiMjlyaCsvWHF0Q3ho | |
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802 | cmkvZnV1Kytpc3JJU1M1Y3VyVE9lcVdqNjR5K0V3TkdqUjlHalJ3K05WMnF5c3JKUVhsNnUKODFV | |
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803 | TFE4ZDNhMzhjTngvL3JUK3V1U0Fpb3dzSkNkRXBNZEFtTGk0T1k4ZU8xZW16TmpZMkdEMTZORFp0 | |
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|
804 | Mm1SUXJPcnFhc1RIeDJQYwp1SEVHMVRlbE0yZk9vTEN3RUFNSER0UllmdXpZTVFCY2IwR214K1ND | |
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805 | aUl4dTl1elppSTJOUlVWRmhkNTFzN0t5Y08zYU5Zd1lNVUxuCk9oRVJFWWlPampib2Y1djc5dTJE | |
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806 | czdNemV2ZnVyWGRkVTd1LzNrTFRMYWdBa0phV0JnQmNiMEVteCtTQ2lJeXVjK2ZPNk5HakJ6NzcK | |
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|
807 | N0RPOTZxblZhcnozM25zSUR3K0hyYTJ0enZVR0Rod0lPenM3Yk42OFdhOTRGUlVWV0xKa0NTSWlJ | |
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|
808 | dlNxcDVURGh3OURrcVJhazR1TwpIVHMrZUZFYmthbndiaEVpTW9uVnExZGp3SUFCYU51MnJVNjNp | |
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|
809 | YXJWYXN5Yk53K2xwYVZZdUhDaFhyRWtTY0ttVFpzUUVCQUFGeGNYCm5aNEtXbGxaaVduVHB1R0pK | |
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|
810 | NTdBdEduVDlJcW5oSXFLQ3FTbXBxSjkrL1p3Y1hHcFVaNmRuWTM4L0h3TUh6NWNnZDVSUThjckYw | |
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|
811 | UmsKRXU3dTd0aTNieDllZSswMXZQMzIyN2h4NDRiV3o1NDlleGJqeG8xRGRuWTJkdTdjaVNaTm11 | |
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|
812 | Z2Q3K21ubjhhMmJkc1FHaHFLano3NgpDQ1VsSlZvL2UvTGtTUXdiTmd6bDVlV0lqNCtIalkzNURv | |
|
|
813 | MDVPVG53OC9PRHA2Y25DZ29La0pPVEExOWZYNnhhdFFvQXNIdjNidlR2CjN4OURoZ3lCSkVsSVNr | |
|
|
814 | cUN2Nzgvamg4L3JuRFBxU0hSKzFaVUlxTDZ5TTNOeFR2dnZJTmR1M1poMUtoUm1EQmhBbHhjWE5D | |
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|
815 | blR4OTgKOGNVWGlJMk54Zi8rOXorRWhZVmg4ZUxGZU9TUlIrb1Y3K3paczNqMzNYZXhmLzkrVEp3 | |
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|
816 | NEVhTkhqMGJMbGkzaDdlMk45ZXZYWTgyYQpOYmg2OVNwZWV1a2xMRnk0VUsvcEYxTXk5aDBMOVdu | |
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|
817 | ZjJ1L2U0TjBpK21OeVFVU0tLQ3dzeE1hTkcvSGRkOStocUtnSVdWbFpHRFZxCkZDWk5tb1NRa0JD | |
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|
818 | RHJsYlU1dXJWcTFpN2RpMk9IajJLNHVKaW5EeDVFdVBHamNQVXFWTXhZc1FJczAwcTdtTnkwWERp | |
|
|
819 | V1FNbUYwUkUKRm9ESlJjT0padzNNZDJLUmlJaUlMQkx2RmlFaXNoREdmRVMzazVPVDBkcW1ob2ZK | |
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|
820 | QlJHUkJlQmxlYklrbkJZaElpSWlXVEc1SUNJaQpJbGt4dVNBaUlpSlpNYmtnSWlJaVdURzVJQ0lp | |
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|
821 | SWxreHVTQWlJdEtDZCtrWWhza0ZFUkhwcGJTMEZLdFdyVUt2WHIxZ2IyOFBBSEJ3CmNJQ1Bqdzlp | |
|
|
822 | WTJOUlZsWW1hN3lpb2lKODhza244UEx5ZXZDdUdVZEhSL2o1K2VHcnI3NUNaV1dsclBHdVhidUd5 | |
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|
823 | TWhJZE96WThVRzgKWnMyYVlmanc0ZGk5ZXplcXE2dGxqV2VObUZ3UUVaRk9xcXVyOGM0Nzc4RE56 | |
|
|
824 | UTM3OSsvSHNtWExVRkJRQUFDNGZ2MDYzbi8vZmV6YQp0UXZ0MnJYRGh4OStXTy8vOVZkVVZPRGxs | |
|
|
825 | MTlHaHc0ZGNPclVLYXhkdXhaRlJVVUFnTXVYTDJQZXZIbFl1M1l0M056Y3NIcjE2bnB2ClgybHBL | |
|
|
826 | YVpObTRZdVhicmd5cFVyU0V4TWZQQTIzWXNYTHlJME5CUWZmUEFCT25Ub2dNVEV4SHJIczJaOHR3 | |
|
|
827 | Z1JFZFdwcXFvS2t5ZFAKUm1GaEllTGo0OUcyYmRzSFpYOTk5OGJ2di8rT3laTW5vM1Buem9pTmpU | |
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|
828 | WG9wWEIzN3R6QnlKRWpvVktwc0dyVktqZzdPMnVOZC9yMAphWXdmUHg2alJvM0MwcVZMRFhxUzZZ | |
|
|
829 | MGJOL0RjYzgraFQ1OCtXTFpzR1pvM2I2NDFYbnA2T2laT25JaFhYbmtGQ3hZczBEdFdROERrCmdv | |
|
|
830 | aUlhaVdFd0lzdnZvZ3JWNjVnNTg2ZE5kNVlxK25GWG1WbFpRZ01ERVN2WHIzd3lTZWY2Qld2dXJv | |
|
|
831 | YW8wZVBoa3FsMHBpY2FJcFgKVkZRRWYzOS9USnMyRGErOTlwcGU4ZTdldll2Qmd3ZGowS0JCR3BN | |
|
|
832 | VFRmRXVYNzRNWDE5ZkxGbXlCSC8vKzkvMWl0Y1FNTGtnSXFKYQpaV1JrWU9MRWlmajU1NS94NktP | |
|
|
833 | UDFpalg5dGJRNHVKaWRPblNCWWNPSFlLbnA2Zk84WGJ0Mm9YSXlFaWtwNmZEenM1TzUzaTV1Ym5v | |
|
|
834 | CjFxMGJ6cDgvRHhjWEY1M2p4Y1RFSUNrcENkOSsrNjNHcXg3YTR2MzAwMC80MjkvK2hweWNIRFJ0 | |
|
|
835 | MmxUbmVBMEIxMXdRRVZHdG9xT2oKRVJFUm9UR3hxSTJUa3hOZWVPRUZ4TVRFNkIzdjFWZGYxWmhZ | |
|
|
836 | MU1iVjFSVmp4NDdGK3ZYcmRhNGpoRUIwZERSZWYvMTF2YWRUdW5mdgpEbTl2YjY2LzBJQlhMb2lJ | |
|
|
837 | U0t2Q3drSjA3TmdSdi83NksxcTJiS254TTlyK1p3LzhjVFdoUjQ4ZXlNbkowU2s1T1gvK1BIeDlm | |
|
|
838 | WkdUCmsvUGdUZzE5NG1WbFpTRWtKQVFYTGx6UWFhM0gwYU5IRVJZV2hsOSsrVVZyY2xGYnZEMTc5 | |
|
|
839 | aUF5TWhJLy9QQkRuYkVhRWw2NUlDSWkKclk0ZE80YStmZnRxVFN6cTR1cnFpaTVkdWlBakkwT256 | |
|
|
840 | eDg2ZEFnalI0N1VtbGpVNVpsbm5vR3RyUzErL2ZWWG5UNi9mLzkrakJzMwp6dURYMlE4ZlBoeW5U | |
|
|
841 | NTkrY0ZjSi9ZSEpCUkVSYVZWY1hQelFuUnFHY0haMlJuRnhzVlhHczdXMVJZc1dMWFNPMTFEb1BT | |
|
|
842 | MWlhSFpIClJFUkVEVU1qZlN0d2lRWVJVY054OE9CQkxGNjhHT25wNlZvL1U5dWFCQ0VFdkx5OHNI | |
|
|
843 | SGpSdmo0K05RWkx6NCtIanQyN01ET25Uc04KaWxkVlZZVTJiZHJnNU1tVGNIVjFyVFBlc21YTGNP | |
|
|
844 | blNKWHorK2VjR3hTc3BLVUdiTm0xUVdGaG84RlNPTmVLMENCRVJhVFZvMENEawo1dWJpOU9uVEJ0 | |
|
|
845 | VlBUMDlIVlZVVmV2ZnVyZFBuZzRLQ2tKcWFpcnk4UElQaUpTVWx3Y1BEUTZmRUFnQW1USmlBTFZ1 | |
|
|
846 | MkdQekk4dmo0CitIcXRFYkZXVEM2SWlFZ3JPenM3aElXRjZYMDc2WDNSMGRHWU0yY09iR3gwKzNQ | |
|
|
847 | ejJHT1BZZno0OFZpM2JwM0I4U0lpSW5UKy9KTlAKUG9sKy9mcmhxNisrMGp2Vy9kdFk5WW5YVVBC | |
|
|
848 | V1ZDSWlxdFdWSzFmUXZYdDNwS2Ftb2x1M2JqWEt0VTBiWkdabVl0aXdZZmoxMTEraApVcWwwanBj | |
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|
849 | T1VHUXRBQUFDdGtsRVFWU2RuWTJoUTRjaUl5TUQ3ZHExMHpuZTNyMTc4Znp6eitQMzMzK3Y4UlRS | |
|
|
850 | MmlRbkp5TWlJZ0laCkdSa2ErNmt0M29ZTkcvRGYvLzRYMmRuWlhJLzRGN3h5UVVSRXRYcmlpU2Z3 | |
|
|
851 | MldlZlljU0lFVGgvL3J4T2RYNysrV2NFQndkanc0WU4KZWlVV0FOQ2pSdys4OGNZYkdENThPSzVl | |
|
|
852 | dmFwVG5hTkhqMkw2OU9uWXRtMmJYb2tGQUFRRUJHRE1tREVJQ2dyUythNlByNy8rR20rOQo5UmEy | |
|
|
853 | Yk5uQ3hFSVRRVVJFcElOMTY5YUpWcTFhaWRXclY0dmJ0MjgvK1AyZi81U1VsSlNJbFN0WENtZG5a | |
|
|
854 | N0Y1ODJhRFk2blZhaEVWCkZTWGF0V3NudnZqaUMzSDM3bDJOOFFvS0NrUlVWSlJ3ZG5ZV3ljbkpC | |
|
|
855 | c2VycnE0VzgrZlBGNTZlbm1MbnpwMmlxcXBLWTd6TGx5K0wKUllzV2lkYXRXNHVNakF5RDQxazdK | |
|
|
856 | aGRFUktTenRMUTBFUndjTEZRcWxaZzNiNTVJU0VnUUFNU1hYMzRwNXN5Wkk1eWNuTVQ0OGVORgpa | |
|
|
857 | bWFtTFBIMjdkc25oZ3daSWx4Y1hNU2JiNzRwTm0vZUxBQ0krUGg0TVczYU5QSFlZNCtKNmRPbml6 | |
|
|
858 | Tm56c2dTTHpFeFVmVHYzMSswCmJkdFd2UGZlZTJMTGxpMENnTmk0Y2FNWU8zYXNjSEp5RWhFUkVl | |
|
|
859 | TGl4WXV5eExOV1hITkJSRVI2eThuSndmcjE2M0h1M0RsczJiSUYKa3laTmdwZVhGMmJObW9VMmJk | |
|
|
860 | cklIdS84K2ZPSWpZM0ZoUXNYc0hYclZreWVQQm05ZXZYQ3pKa3owYUpGQzluam5UcDFDbkZ4Y2Jo | |
|
|
861 | OAorVEsyYmR1R0tWT21vSC8vL3BnNmRTb2NIUjFsajJkdG1Gd1FFUkdSckxpZ2s0aUlpR1RGNUlL | |
|
|
862 | SWlJaGt4ZVNDaUlpSVpNWGtnb2lJCmlHVEY1SUtJaUloa3hlU0NpSWlJWk1Ya2dvaUlpR1RGNUlL | |
|
|
863 | SWlJaGt4ZVNDaUlpSVpNWGtnb2lJaUdURjVJS0lpSWhreGVTQ2lJaUkKWk1Ya2dvaUlpR1RGNUlL | |
|
|
864 | SWlJaGt4ZVNDaUlpSVpNWGtnb2lJaUdURjVJS0lpSWhreGVTQ2lJaUlaTVhrZ29pSWlHVEY1SUtJ | |
|
|
865 | aUloawp4ZVNDaUlpSVpNWGtnb2lJaUdURjVJS0lpSWhrOVg4T1FoaGRPdEJ6bGdBQUFBQkpSVTVF | |
|
|
866 | cmtKZ2dnPT0K | |
|
|
867 | </png> | |
|
|
868 | </output> | |
|
|
869 | </outputs> | |
|
|
870 | </codecell> | |
|
|
871 | <codecell> | |
|
|
872 | <input>represent(4*encoding_circuit, nqubits=5)</input> | |
|
|
873 | <language>python</language> | |
|
|
874 | <prompt_number>15</prompt_number> | |
|
|
875 | <collapsed>0</collapsed> | |
|
|
876 | <outputs> | |
|
|
877 | <output> | |
|
|
878 | <output_type>pyout</output_type> | |
|
|
879 | <text>β‘1 0 1 0 1 0 1 0 0 -1 0 -1 0 -1 0 -1 0 -1 0 - | |
|
|
880 | β’ | |
|
|
881 | β’0 1 0 1 0 1 0 1 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | |
|
|
882 | β’ | |
|
|
883 | β’0 1 0 -1 0 1 0 -1 -1 0 1 0 -1 0 1 0 -1 0 1 0 | |
|
|
884 | β’ | |
|
|
885 | β’1 0 -1 0 1 0 -1 0 0 -1 0 1 0 -1 0 1 0 -1 0 1 | |
|
|
886 | β’ | |
|
|
887 | β’0 -1 0 -1 0 1 0 1 1 0 1 0 -1 0 -1 0 -1 0 -1 0 | |
|
|
888 | β’ | |
|
|
889 | β’-1 0 -1 0 1 0 1 0 0 1 0 1 0 -1 0 -1 0 -1 0 - | |
|
|
890 | β’ | |
|
|
891 | β’1 0 -1 0 -1 0 1 0 0 -1 0 1 0 1 0 -1 0 1 0 - | |
|
|
892 | β’ | |
|
|
893 | β’0 1 0 -1 0 -1 0 1 -1 0 1 0 1 0 -1 0 1 0 -1 0 | |
|
|
894 | β’ | |
|
|
895 | β’0 -1 0 -1 0 -1 0 -1 1 0 1 0 1 0 1 0 -1 0 -1 0 | |
|
|
896 | β’ | |
|
|
897 | β’-1 0 -1 0 -1 0 -1 0 0 1 0 1 0 1 0 1 0 -1 0 - | |
|
|
898 | β’ | |
|
|
899 | β’-1 0 1 0 -1 0 1 0 0 1 0 -1 0 1 0 -1 0 -1 0 1 | |
|
|
900 | β’ | |
|
|
901 | β’0 -1 0 1 0 -1 0 1 1 0 -1 0 1 0 -1 0 -1 0 1 0 | |
|
|
902 | β’ | |
|
|
903 | β’1 0 1 0 -1 0 -1 0 0 -1 0 -1 0 1 0 1 0 -1 0 - | |
|
|
904 | β’ | |
|
|
905 | β’0 1 0 1 0 -1 0 -1 -1 0 -1 0 1 0 1 0 -1 0 -1 0 | |
|
|
906 | β’ | |
|
|
907 | β’0 -1 0 1 0 1 0 -1 1 0 -1 0 -1 0 1 0 1 0 -1 0 | |
|
|
908 | β’ | |
|
|
909 | β’-1 0 1 0 1 0 -1 0 0 1 0 -1 0 -1 0 1 0 1 0 - | |
|
|
910 | β’ | |
|
|
911 | β’0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 -1 0 -1 0 | |
|
|
912 | β’ | |
|
|
913 | β’1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 -1 0 - | |
|
|
914 | β’ | |
|
|
915 | β’-1 0 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 1 0 1 0 - | |
|
|
916 | β’ | |
|
|
917 | β’0 -1 0 1 0 -1 0 1 -1 0 1 0 -1 0 1 0 1 0 -1 0 | |
|
|
918 | β’ | |
|
|
919 | β’-1 0 -1 0 1 0 1 0 0 -1 0 -1 0 1 0 1 0 -1 0 - | |
|
|
920 | β’ | |
|
|
921 | β’0 -1 0 -1 0 1 0 1 -1 0 -1 0 1 0 1 0 -1 0 -1 0 | |
|
|
922 | β’ | |
|
|
923 | β’0 -1 0 1 0 1 0 -1 -1 0 1 0 1 0 -1 0 -1 0 1 0 | |
|
|
924 | β’ | |
|
|
925 | β’-1 0 1 0 1 0 -1 0 0 -1 0 1 0 1 0 -1 0 -1 0 1 | |
|
|
926 | β’ | |
|
|
927 | β’1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 | |
|
|
928 | β’ | |
|
|
929 | β’0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0 | |
|
|
930 | β’ | |
|
|
931 | β’0 -1 0 1 0 -1 0 1 -1 0 1 0 -1 0 1 0 -1 0 1 0 | |
|
|
932 | β’ | |
|
|
933 | β’-1 0 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 1 0 -1 0 1 | |
|
|
934 | β’ | |
|
|
935 | β’0 -1 0 -1 0 1 0 1 -1 0 -1 0 1 0 1 0 1 0 1 0 | |
|
|
936 | β’ | |
|
|
937 | β’-1 0 -1 0 1 0 1 0 0 -1 0 -1 0 1 0 1 0 1 0 1 | |
|
|
938 | β’ | |
|
|
939 | β’-1 0 1 0 1 0 -1 0 0 -1 0 1 0 1 0 -1 0 1 0 - | |
|
|
940 | β’ | |
|
|
941 | β£0 -1 0 1 0 1 0 -1 -1 0 1 0 1 0 -1 0 1 0 -1 0 | |
|
|
942 | ||
|
|
943 | 1 0 -1 0 -1 -1 0 -1 0 -1 0 -1 0 β€ | |
|
|
944 | β₯ | |
|
|
945 | -1 0 -1 0 0 -1 0 -1 0 -1 0 -1β₯ | |
|
|
946 | β₯ | |
|
|
947 | -1 0 1 0 0 -1 0 1 0 -1 0 1 β₯ | |
|
|
948 | β₯ | |
|
|
949 | 0 -1 0 1 -1 0 1 0 -1 0 1 0 β₯ | |
|
|
950 | β₯ | |
|
|
951 | 1 0 1 0 0 -1 0 -1 0 1 0 1 β₯ | |
|
|
952 | β₯ | |
|
|
953 | 1 0 1 0 1 -1 0 -1 0 1 0 1 0 β₯ | |
|
|
954 | β₯ | |
|
|
955 | 1 0 -1 0 1 1 0 -1 0 -1 0 1 0 β₯ | |
|
|
956 | β₯ | |
|
|
957 | -1 0 1 0 0 1 0 -1 0 -1 0 1 β₯ | |
|
|
958 | β₯ | |
|
|
959 | -1 0 -1 0 0 -1 0 -1 0 -1 0 -1β₯ | |
|
|
960 | β₯ | |
|
|
961 | 1 0 -1 0 -1 -1 0 -1 0 -1 0 -1 0 β₯ | |
|
|
962 | β₯ | |
|
|
963 | 0 -1 0 1 -1 0 1 0 -1 0 1 0 β₯ | |
|
|
964 | β₯ | |
|
|
965 | -1 0 1 0 0 -1 0 1 0 -1 0 1 β₯ | |
|
|
966 | β₯ | |
|
|
967 | 1 0 1 0 1 -1 0 -1 0 1 0 1 0 β₯ | |
|
|
968 | β₯ | |
|
|
969 | 1 0 1 0 0 -1 0 -1 0 1 0 1 β₯ | |
|
|
970 | β₯ | |
|
|
971 | -1 0 1 0 0 1 0 -1 0 -1 0 1 β₯ | |
|
|
972 | β₯ | |
|
|
973 | 1 0 -1 0 1 1 0 -1 0 -1 0 1 0 β₯ | |
|
|
974 | β₯ | |
|
|
975 | -1 0 -1 0 0 1 0 1 0 1 0 1 β₯ | |
|
|
976 | β₯ | |
|
|
977 | 1 0 -1 0 -1 1 0 1 0 1 0 1 0 β₯ | |
|
|
978 | β₯ | |
|
|
979 | 1 0 1 0 -1 -1 0 1 0 -1 0 1 0 β₯ | |
|
|
980 | β₯ | |
|
|
981 | 1 0 -1 0 0 -1 0 1 0 -1 0 1 β₯ | |
|
|
982 | β₯ | |
|
|
983 | 1 0 1 0 1 1 0 1 0 -1 0 -1 0 β₯ | |
|
|
984 | β₯ | |
|
|
985 | 1 0 1 0 0 1 0 1 0 -1 0 -1β₯ | |
|
|
986 | β₯ | |
|
|
987 | 1 0 -1 0 0 1 0 -1 0 -1 0 1 β₯ | |
|
|
988 | β₯ | |
|
|
989 | 0 1 0 -1 1 0 -1 0 -1 0 1 0 β₯ | |
|
|
990 | β₯ | |
|
|
991 | 0 1 0 1 -1 0 -1 0 -1 0 -1 0 β₯ | |
|
|
992 | β₯ | |
|
|
993 | 1 0 1 0 0 -1 0 -1 0 -1 0 -1β₯ | |
|
|
994 | β₯ | |
|
|
995 | -1 0 1 0 0 1 0 -1 0 1 0 -1β₯ | |
|
|
996 | β₯ | |
|
|
997 | 0 -1 0 1 1 0 -1 0 1 0 -1 0 β₯ | |
|
|
998 | β₯ | |
|
|
999 | -1 0 -1 0 0 -1 0 -1 0 1 0 1 β₯ | |
|
|
1000 | β₯ | |
|
|
1001 | 0 -1 0 -1 -1 0 -1 0 1 0 1 0 β₯ | |
|
|
1002 | β₯ | |
|
|
1003 | 1 0 -1 0 1 -1 0 1 0 1 0 -1 0 β₯ | |
|
|
1004 | β₯ | |
|
|
1005 | -1 0 1 0 0 -1 0 1 0 1 0 -1β¦</text> | |
|
|
1006 | <latex>$$\left(\begin{smallmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0\\0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1\\0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1\\1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0\\0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1\\-1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0\\1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0\\0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1\\0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1\\-1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0\\-1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0\\0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1\\1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0\\0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1\\0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1\\-1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0\\0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1\\1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0\\-1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0\\0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1\\-1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0\\0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1\\0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1\\-1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0\\1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0\\0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1\\0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1\\-1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0\\0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1\\-1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0\\-1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0\\0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1\end{smallmatrix}\right)$$</latex> | |
|
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1007 | <prompt_number>15</prompt_number> | |
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1008 | </output> | |
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1009 | </outputs> | |
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1010 | </codecell> | |
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1011 | </cells> | |
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1012 | </worksheet> | |
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1013 | </worksheets> | |
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1014 | </notebook> | |
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7 | { | |
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8 | "source": "<h1>Quantum Error Correction</h1>", | |
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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": 1, | |
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17 | "input": "%load_ext sympyprinting" | |
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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": 2, | |
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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" | |
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26 | }, | |
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27 | { | |
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28 | "source": "<h2>5 qubit code</h2>", | |
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29 | "cell_type": "markdown" | |
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30 | }, | |
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31 | { | |
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32 | "cell_type": "code", | |
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33 | "language": "python", | |
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34 | "outputs": [ | |
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35 | { | |
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36 | "output_type": "pyout", | |
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37 | "latex": "$$Z_{1} X_{2} X_{3} Z_{4}$$", | |
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38 | "prompt_number": 3, | |
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39 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFsAAAAYCAYAAACV+oFbAAAABHNCSVQICAgIfAhkiAAAA2NJREFU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\nr7766quq/gHxxxJqg1cEfAAAAABJRU5ErkJggg==\n", | |
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40 | "text": "Z \u22c5X \u22c5X \u22c5Z \n 1 2 3 4" | |
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41 | } | |
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42 | ], | |
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43 | "collapsed": false, | |
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44 | "prompt_number": 3, | |
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45 | "input": "M0 = Z(1)*X(2)*X(3)*Z(4); M0\n" | |
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46 | }, | |
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47 | { | |
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48 | "cell_type": "code", | |
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49 | "language": "python", | |
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50 | "outputs": [ | |
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51 | { | |
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52 | "output_type": "pyout", | |
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53 | "latex": "$$Z_{2} X_{3} X_{4} Z_{0}$$", | |
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54 | "prompt_number": 4, | |
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55 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFoAAAAYCAYAAAB6OOplAAAABHNCSVQICAgIfAhkiAAAA4lJREFU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\nAElFTkSuQmCC\n", | |
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56 | "text": "Z \u22c5X \u22c5X \u22c5Z \n 2 3 4 0" | |
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57 | } | |
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58 | ], | |
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59 | "collapsed": false, | |
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60 | "prompt_number": 4, | |
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61 | "input": "M1 = Z(2)*X(3)*X(4)*Z(0); M1\n" | |
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62 | }, | |
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63 | { | |
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64 | "cell_type": "code", | |
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65 | "language": "python", | |
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66 | "outputs": [ | |
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67 | { | |
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68 | "output_type": "pyout", | |
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69 | "latex": "$$Z_{3} X_{4} X_{0} Z_{1}$$", | |
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70 | "prompt_number": 5, | |
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71 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFoAAAAYCAYAAAB6OOplAAAABHNCSVQICAgIfAhkiAAAA3RJREFU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\n", | |
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72 | "text": "Z \u22c5X \u22c5X \u22c5Z \n 3 4 0 1" | |
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73 | } | |
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74 | ], | |
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75 | "collapsed": false, | |
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76 | "prompt_number": 5, | |
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77 | "input": "M2 = Z(3)*X(4)*X(0)*Z(1); M2\n" | |
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78 | }, | |
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79 | { | |
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80 | "cell_type": "code", | |
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81 | "language": "python", | |
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82 | "outputs": [ | |
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83 | { | |
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84 | "output_type": "pyout", | |
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85 | "latex": "$$Z_{4} X_{0} X_{1} Z_{2}$$", | |
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86 | "prompt_number": 6, | |
|
|
87 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFoAAAAYCAYAAAB6OOplAAAABHNCSVQICAgIfAhkiAAAA2BJREFU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\nefy/8Q8KoQ22z/3wywAAAABJRU5ErkJggg==\n", | |
|
|
88 | "text": "Z \u22c5X \u22c5X \u22c5Z \n 4 0 1 2" | |
|
|
89 | } | |
|
|
90 | ], | |
|
|
91 | "collapsed": false, | |
|
|
92 | "prompt_number": 6, | |
|
|
93 | "input": "M3 = Z(4)*X(0)*X(1)*Z(2); M3\n" | |
|
|
94 | }, | |
|
|
95 | { | |
|
|
96 | "source": "These operators should mutually commute.", | |
|
|
97 | "cell_type": "markdown" | |
|
|
98 | }, | |
|
|
99 | { | |
|
|
100 | "cell_type": "code", | |
|
|
101 | "language": "python", | |
|
|
102 | "outputs": [ | |
|
|
103 | { | |
|
|
104 | "output_type": "pyout", | |
|
|
105 | "latex": "$$0$$", | |
|
|
106 | "prompt_number": 7, | |
|
|
107 | "png": "iVBORw0KGgoAAAANSUhEUgAAAAwAAAASCAYAAABvqT8MAAAABHNCSVQICAgIfAhkiAAAAN1JREFU\nKJHN0i1LRFEQxvGf7i6LrGE3adCoUbAZBT+GzWATi9Vm22D3Q9gtZqNo8WXNgi9BUHBdUMO9F8bD\nlG1OOcwz8z9zeM4wZcwU+RKGeMQbOjjGawa3MMJu0I5whtkM2MYYvaCt4Ac7GXCJ80R/wGmTNKPa\nWMN9AoywWQILKgPeE+ADA3QjsBiKGQD9CIzr8zsBOrHWALf4SpqpXJvgJQIT3NRvLWMeTyp7/3zI\nFZaL5hbWcZ2NPlCtwFzQNuqbtzJggDvsBe0EF7GpXL5VHOKzznvYx3M24Z/EL9XoKBNI+V0xAAAA\nAElFTkSuQmCC\n", | |
|
|
108 | "text": "0" | |
|
|
109 | } | |
|
|
110 | ], | |
|
|
111 | "collapsed": false, | |
|
|
112 | "prompt_number": 7, | |
|
|
113 | "input": "gate_simp(Commutator(M0,M1).doit())\n" | |
|
|
114 | }, | |
|
|
115 | { | |
|
|
116 | "source": "And square to the identity.", | |
|
|
117 | "cell_type": "markdown" | |
|
|
118 | }, | |
|
|
119 | { | |
|
|
120 | "cell_type": "code", | |
|
|
121 | "language": "python", | |
|
|
122 | "outputs": [ | |
|
|
123 | { | |
|
|
124 | "output_type": "display_data", | |
|
|
125 | "latex": "$$1$$", | |
|
|
126 | "png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAASCAYAAACNdSR1AAAABHNCSVQICAgIfAhkiAAAAGBJREFU\nKJHt0bENQGAQhuEnWp1CZQFbqExhOI1BtEbABgoj/AoKkcgfCZ23uUvuvcuXHC9QYI5JKWqMCNdh\ncupLdKiwPInRxi5H+eXX5eyo+d1ijh6T/XsBKwY0TxJ8zAZBcgy8TZqNTgAAAABJRU5ErkJggg==\n", | |
|
|
127 | "text": "1" | |
|
|
128 | }, | |
|
|
129 | { | |
|
|
130 | "output_type": "display_data", | |
|
|
131 | "latex": "$$1$$", | |
|
|
132 | "png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAASCAYAAACNdSR1AAAABHNCSVQICAgIfAhkiAAAAGBJREFU\nKJHt0bENQGAQhuEnWp1CZQFbqExhOI1BtEbABgoj/AoKkcgfCZ23uUvuvcuXHC9QYI5JKWqMCNdh\ncupLdKiwPInRxi5H+eXX5eyo+d1ijh6T/XsBKwY0TxJ8zAZBcgy8TZqNTgAAAABJRU5ErkJggg==\n", | |
|
|
133 | "text": "1" | |
|
|
134 | }, | |
|
|
135 | { | |
|
|
136 | "output_type": "display_data", | |
|
|
137 | "latex": "$$1$$", | |
|
|
138 | "png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAASCAYAAACNdSR1AAAABHNCSVQICAgIfAhkiAAAAGBJREFU\nKJHt0bENQGAQhuEnWp1CZQFbqExhOI1BtEbABgoj/AoKkcgfCZ23uUvuvcuXHC9QYI5JKWqMCNdh\ncupLdKiwPInRxi5H+eXX5eyo+d1ijh6T/XsBKwY0TxJ8zAZBcgy8TZqNTgAAAABJRU5ErkJggg==\n", | |
|
|
139 | "text": "1" | |
|
|
140 | }, | |
|
|
141 | { | |
|
|
142 | "output_type": "display_data", | |
|
|
143 | "latex": "$$1$$", | |
|
|
144 | "png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAASCAYAAACNdSR1AAAABHNCSVQICAgIfAhkiAAAAGBJREFU\nKJHt0bENQGAQhuEnWp1CZQFbqExhOI1BtEbABgoj/AoKkcgfCZ23uUvuvcuXHC9QYI5JKWqMCNdh\ncupLdKiwPInRxi5H+eXX5eyo+d1ijh6T/XsBKwY0TxJ8zAZBcgy8TZqNTgAAAABJRU5ErkJggg==\n", | |
|
|
145 | "text": "1" | |
|
|
146 | } | |
|
|
147 | ], | |
|
|
148 | "collapsed": false, | |
|
|
149 | "prompt_number": 8, | |
|
|
150 | "input": "for o in [M0,M1,M2,M3]:\n display(gate_simp(o*o))\n" | |
|
|
151 | }, | |
|
|
152 | { | |
|
|
153 | "source": "<h2>Codewords</h2>", | |
|
|
154 | "cell_type": "markdown" | |
|
|
155 | }, | |
|
|
156 | { | |
|
|
157 | "cell_type": "code", | |
|
|
158 | "language": "python", | |
|
|
159 | "outputs": [ | |
|
|
160 | { | |
|
|
161 | "output_type": "pyout", | |
|
|
162 | "latex": "$$\\frac{1}{4} \\left(1 + Z_{1} X_{2} X_{3} Z_{4}\\right) \\left(1 + Z_{2} X_{3} X_{4} Z_{0}\\right) \\left(1 + Z_{3} X_{4} X_{0} Z_{1}\\right) \\left(1 + Z_{4} X_{0} X_{1} Z_{2}\\right) {\\left|0\\right\\rangle }$$", | |
|
|
163 | "prompt_number": 9, | |
|
|
164 | "png": "iVBORw0KGgoAAAANSUhEUgAAAj4AAAAiCAYAAABfudNlAAAABHNCSVQICAgIfAhkiAAACrlJREFU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\nhBCC/wPS77xfXVkDTQAAAABJRU5ErkJggg==\n", | |
|
|
165 | "text": "\u239b1 + Z \u22c5X \u22c5X \u22c5Z \u239e\u22c5\u239b1 + Z \u22c5X \u22c5X \u22c5Z \u239e\u22c5\u239b1 + Z \u22c5X \u22c5X \u22c5Z \u239e\u22c5\u239b1 + Z \u22c5X \u22c5X \u22c5Z \u239e\u22c5\u27580\u27e9\n\u239d 1 2 3 4\u23a0 \u239d 2 3 4 0\u23a0 \u239d 3 4 0 1\u23a0 \u239d 4 0 1 2\u23a0 \n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 4" | |
|
|
166 | } | |
|
|
167 | ], | |
|
|
168 | "collapsed": false, | |
|
|
169 | "prompt_number": 9, | |
|
|
170 | "input": "zero = Rational(1,4)*(1+M0)*(1+M1)*(1+M2)*(1+M3)*IntQubit(0, 5); zero\n" | |
|
|
171 | }, | |
|
|
172 | { | |
|
|
173 | "cell_type": "code", | |
|
|
174 | "language": "python", | |
|
|
175 | "outputs": [ | |
|
|
176 | { | |
|
|
177 | "output_type": "pyout", | |
|
|
178 | "latex": "$${\\left|0\\right\\rangle } + {\\left|3\\right\\rangle } - {\\left|5\\right\\rangle } + {\\left|6\\right\\rangle } - {\\left|9\\right\\rangle } - {\\left|10\\right\\rangle } + {\\left|12\\right\\rangle } - {\\left|15\\right\\rangle } + {\\left|17\\right\\rangle } - {\\left|18\\right\\rangle } - {\\left|20\\right\\rangle } - {\\left|23\\right\\rangle } + {\\left|24\\right\\rangle } - {\\left|27\\right\\rangle } - {\\left|29\\right\\rangle } - {\\left|30\\right\\rangle }$$", | |
|
|
179 | "prompt_number": 10, | |
|
|
180 | "png": "iVBORw0KGgoAAAANSUhEUgAAAqcAAAAVCAYAAAB7eEdTAAAABHNCSVQICAgIfAhkiAAACzRJREFU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\nkUgkEolEIpFIJDrNfwGfohC3+6QZuAAAAABJRU5ErkJggg==\n", | |
|
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181 | "text": "\u27580\u27e9 + \u27583\u27e9 - \u27585\u27e9 + \u27586\u27e9 - \u27589\u27e9 - \u275810\u27e9 + \u275812\u27e9 - \u275815\u27e9 + \u275817\u27e9 - \u275818\u27e9 - \u275820\u27e9 - \u275823\u27e9 +\n \u275824\u27e9 - \u275827\u27e9 - \u275829\u27e9 - \u275830\u27e9" | |
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182 | } | |
|
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183 | ], | |
|
|
184 | "collapsed": false, | |
|
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185 | "prompt_number": 10, | |
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186 | "input": "qapply(4*zero)\n" | |
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187 | }, | |
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188 | { | |
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189 | "cell_type": "code", | |
|
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190 | "language": "python", | |
|
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191 | "outputs": [ | |
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192 | { | |
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193 | "output_type": "pyout", | |
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194 | "latex": "$$\\frac{1}{4} \\left(1 + Z_{1} X_{2} X_{3} Z_{4}\\right) \\left(1 + Z_{2} X_{3} X_{4} Z_{0}\\right) \\left(1 + Z_{3} X_{4} X_{0} Z_{1}\\right) \\left(1 + Z_{4} X_{0} X_{1} Z_{2}\\right) {\\left|31\\right\\rangle }$$", | |
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195 | "prompt_number": 11, | |
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196 | "png": "iVBORw0KGgoAAAANSUhEUgAAAkgAAAAiCAYAAACk7ia6AAAABHNCSVQICAgIfAhkiAAACuxJREFU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\n49kSjUC+pQAAAABJRU5ErkJggg==\n", | |
|
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197 | "text": "\u239b1 + Z \u22c5X \u22c5X \u22c5Z \u239e\u22c5\u239b1 + Z \u22c5X \u22c5X \u22c5Z \u239e\u22c5\u239b1 + Z \u22c5X \u22c5X \u22c5Z \u239e\u22c5\u239b1 + Z \u22c5X \u22c5X \u22c5Z \u239e\u22c5\u275831\u27e9\n\u239d 1 2 3 4\u23a0 \u239d 2 3 4 0\u23a0 \u239d 3 4 0 1\u23a0 \u239d 4 0 1 2\u23a0 \n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 4" | |
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198 | } | |
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199 | ], | |
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200 | "collapsed": false, | |
|
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201 | "prompt_number": 11, | |
|
|
202 | "input": "one = Rational(1,4)*(1+M0)*(1+M1)*(1+M2)*(1+M3)*IntQubit(2**5-1, 5); one\n" | |
|
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203 | }, | |
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204 | { | |
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205 | "cell_type": "code", | |
|
|
206 | "language": "python", | |
|
|
207 | "outputs": [ | |
|
|
208 | { | |
|
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209 | "output_type": "pyout", | |
|
|
210 | "latex": "$$- {\\left|1\\right\\rangle } - {\\left|2\\right\\rangle } - {\\left|4\\right\\rangle } + {\\left|7\\right\\rangle } - {\\left|8\\right\\rangle } - {\\left|11\\right\\rangle } - {\\left|13\\right\\rangle } + {\\left|14\\right\\rangle } - {\\left|16\\right\\rangle } + {\\left|19\\right\\rangle } - {\\left|21\\right\\rangle } - {\\left|22\\right\\rangle } + {\\left|25\\right\\rangle } - {\\left|26\\right\\rangle } + {\\left|28\\right\\rangle } + {\\left|31\\right\\rangle }$$", | |
|
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211 | "prompt_number": 12, | |
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212 | "png": "iVBORw0KGgoAAAANSUhEUgAAArsAAAAVCAYAAABG6iY1AAAABHNCSVQICAgIfAhkiAAACpxJREFU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\n", | |
|
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213 | "text": "-\u27581\u27e9 - \u27582\u27e9 - \u27584\u27e9 + \u27587\u27e9 - \u27588\u27e9 - \u275811\u27e9 - \u275813\u27e9 + \u275814\u27e9 - \u275816\u27e9 + \u275819\u27e9 - \u275821\u27e9 - \u275822\u27e9 \n+ \u275825\u27e9 - \u275826\u27e9 + \u275828\u27e9 + \u275831\u27e9" | |
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214 | } | |
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215 | ], | |
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216 | "collapsed": false, | |
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217 | "prompt_number": 12, | |
|
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218 | "input": "qapply(4*one)\n" | |
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219 | }, | |
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220 | { | |
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221 | "source": "<h2>The encoding circuit</h2>", | |
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222 | "cell_type": "markdown" | |
|
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223 | }, | |
|
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224 | { | |
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225 | "cell_type": "code", | |
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226 | "language": "python", | |
|
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227 | "outputs": [], | |
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228 | "collapsed": true, | |
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229 | "prompt_number": 13, | |
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230 | "input": "encoding_circuit = H(3)*H(4)*CNOT(2,0)*CNOT(3,0)*CNOT(4,0)*H(1)*H(4)*\\\n CNOT(2,1)*CNOT(4,1)*H(2)*CNOT(3,2)*CNOT(4,2)*H(3)*\\\n H(4)*CNOT(4, 3)*Z(4)*H(4)*Z(4)\n" | |
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231 | }, | |
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232 | { | |
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233 | "cell_type": "code", | |
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234 | "language": "python", | |
|
|
235 | "outputs": [ | |
|
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236 | { | |
|
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237 | "output_type": "pyout", | |
|
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238 | "prompt_number": 14, | |
|
|
239 | "text": "<sympy.physics.quantum.circuitplot.CircuitPlot object at 0x38a6950>" | |
|
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240 | }, | |
|
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241 | { | |
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242 | "output_type": "display_data", | |
|
|
243 | "png": 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GvLy8escjIpIbp0WIalFaWoqQkBDY2dlh2bJl6Nq164OyP1+aLS4uRnR0NFauXImvv/4a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\nxeSCiIiIZMXkgoiIiGTF5IKIiIhk9X8OQhhdOtBzlgAAAABJRU5ErkJggg==\n" | |
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244 | } | |
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245 | ], | |
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246 | "collapsed": false, | |
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247 | "prompt_number": 14, | |
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248 | "input": "circuit_plot(encoding_circuit, nqubits=5, scale=0.5)" | |
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249 | }, | |
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250 | { | |
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251 | "cell_type": "code", | |
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252 | "language": "python", | |
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253 | "outputs": [ | |
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254 | { | |
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255 | "output_type": "pyout", | |
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256 | "latex": "$$\\left(\\begin{smallmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0\\\\0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1\\\\0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1\\\\1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0\\\\0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1\\\\-1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0\\\\1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0\\\\0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1\\\\0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1\\\\-1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0\\\\-1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0\\\\0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1\\\\1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0\\\\0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1\\\\0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1\\\\-1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0\\\\0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1\\\\1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0\\\\-1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0\\\\0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1\\\\-1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0\\\\0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1\\\\0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1\\\\-1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0\\\\1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0\\\\0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1\\\\0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1\\\\-1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & 1 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0\\\\0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1\\\\-1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & -1 & 0 & -1 & 0 & 1 & 0 & 1 & 0\\\\-1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0\\\\0 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & -1 & 0 & 1 & 0 & 1 & 0 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 0 & 1 & 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 & -1\\end{smallmatrix}\\right)$$", | |
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257 | "prompt_number": 15, | |
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258 | "text": "\u23a11 0 1 0 1 0 1 0 0 -1 0 -1 0 -1 0 -1 0 -1 0 -\n\u23a2 \n\u23a20 1 0 1 0 1 0 1 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0\n\u23a2 \n\u23a20 1 0 -1 0 1 0 -1 -1 0 1 0 -1 0 1 0 -1 0 1 0\n\u23a2 \n\u23a21 0 -1 0 1 0 -1 0 0 -1 0 1 0 -1 0 1 0 -1 0 1\n\u23a2 \n\u23a20 -1 0 -1 0 1 0 1 1 0 1 0 -1 0 -1 0 -1 0 -1 0\n\u23a2 \n\u23a2-1 0 -1 0 1 0 1 0 0 1 0 1 0 -1 0 -1 0 -1 0 -\n\u23a2 \n\u23a21 0 -1 0 -1 0 1 0 0 -1 0 1 0 1 0 -1 0 1 0 -\n\u23a2 \n\u23a20 1 0 -1 0 -1 0 1 -1 0 1 0 1 0 -1 0 1 0 -1 0\n\u23a2 \n\u23a20 -1 0 -1 0 -1 0 -1 1 0 1 0 1 0 1 0 -1 0 -1 0\n\u23a2 \n\u23a2-1 0 -1 0 -1 0 -1 0 0 1 0 1 0 1 0 1 0 -1 0 -\n\u23a2 \n\u23a2-1 0 1 0 -1 0 1 0 0 1 0 -1 0 1 0 -1 0 -1 0 1\n\u23a2 \n\u23a20 -1 0 1 0 -1 0 1 1 0 -1 0 1 0 -1 0 -1 0 1 0\n\u23a2 \n\u23a21 0 1 0 -1 0 -1 0 0 -1 0 -1 0 1 0 1 0 -1 0 -\n\u23a2 \n\u23a20 1 0 1 0 -1 0 -1 -1 0 -1 0 1 0 1 0 -1 0 -1 0\n\u23a2 \n\u23a20 -1 0 1 0 1 0 -1 1 0 -1 0 -1 0 1 0 1 0 -1 0\n\u23a2 \n\u23a2-1 0 1 0 1 0 -1 0 0 1 0 -1 0 -1 0 1 0 1 0 -\n\u23a2 \n\u23a20 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 -1 0 -1 0\n\u23a2 \n\u23a21 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 -1 0 -\n\u23a2 \n\u23a2-1 0 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 1 0 1 0 -\n\u23a2 \n\u23a20 -1 0 1 0 -1 0 1 -1 0 1 0 -1 0 1 0 1 0 -1 0\n\u23a2 \n\u23a2-1 0 -1 0 1 0 1 0 0 -1 0 -1 0 1 0 1 0 -1 0 -\n\u23a2 \n\u23a20 -1 0 -1 0 1 0 1 -1 0 -1 0 1 0 1 0 -1 0 -1 0\n\u23a2 \n\u23a20 -1 0 1 0 1 0 -1 -1 0 1 0 1 0 -1 0 -1 0 1 0\n\u23a2 \n\u23a2-1 0 1 0 1 0 -1 0 0 -1 0 1 0 1 0 -1 0 -1 0 1\n\u23a2 \n\u23a21 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1\n\u23a2 \n\u23a20 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0\n\u23a2 \n\u23a20 -1 0 1 0 -1 0 1 -1 0 1 0 -1 0 1 0 -1 0 1 0\n\u23a2 \n\u23a2-1 0 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 1 0 -1 0 1\n\u23a2 \n\u23a20 -1 0 -1 0 1 0 1 -1 0 -1 0 1 0 1 0 1 0 1 0\n\u23a2 \n\u23a2-1 0 -1 0 1 0 1 0 0 -1 0 -1 0 1 0 1 0 1 0 1\n\u23a2 \n\u23a2-1 0 1 0 1 0 -1 0 0 -1 0 1 0 1 0 -1 0 1 0 -\n\u23a2 \n\u23a30 -1 0 1 0 1 0 -1 -1 0 1 0 1 0 -1 0 1 0 -1 0\n\n1 0 -1 0 -1 -1 0 -1 0 -1 0 -1 0 \u23a4\n \u23a5\n -1 0 -1 0 0 -1 0 -1 0 -1 0 -1\u23a5\n \u23a5\n -1 0 1 0 0 -1 0 1 0 -1 0 1 \u23a5\n \u23a5\n 0 -1 0 1 -1 0 1 0 -1 0 1 0 \u23a5\n \u23a5\n 1 0 1 0 0 -1 0 -1 0 1 0 1 \u23a5\n \u23a5\n1 0 1 0 1 -1 0 -1 0 1 0 1 0 \u23a5\n \u23a5\n1 0 -1 0 1 1 0 -1 0 -1 0 1 0 \u23a5\n \u23a5\n -1 0 1 0 0 1 0 -1 0 -1 0 1 \u23a5\n \u23a5\n -1 0 -1 0 0 -1 0 -1 0 -1 0 -1\u23a5\n \u23a5\n1 0 -1 0 -1 -1 0 -1 0 -1 0 -1 0 \u23a5\n \u23a5\n 0 -1 0 1 -1 0 1 0 -1 0 1 0 \u23a5\n \u23a5\n -1 0 1 0 0 -1 0 1 0 -1 0 1 \u23a5\n \u23a5\n1 0 1 0 1 -1 0 -1 0 1 0 1 0 \u23a5\n \u23a5\n 1 0 1 0 0 -1 0 -1 0 1 0 1 \u23a5\n \u23a5\n -1 0 1 0 0 1 0 -1 0 -1 0 1 \u23a5\n \u23a5\n1 0 -1 0 1 1 0 -1 0 -1 0 1 0 \u23a5\n \u23a5\n -1 0 -1 0 0 1 0 1 0 1 0 1 \u23a5\n \u23a5\n1 0 -1 0 -1 1 0 1 0 1 0 1 0 \u23a5\n \u23a5\n1 0 1 0 -1 -1 0 1 0 -1 0 1 0 \u23a5\n \u23a5\n 1 0 -1 0 0 -1 0 1 0 -1 0 1 \u23a5\n \u23a5\n1 0 1 0 1 1 0 1 0 -1 0 -1 0 \u23a5\n \u23a5\n 1 0 1 0 0 1 0 1 0 -1 0 -1\u23a5\n \u23a5\n 1 0 -1 0 0 1 0 -1 0 -1 0 1 \u23a5\n \u23a5\n 0 1 0 -1 1 0 -1 0 -1 0 1 0 \u23a5\n \u23a5\n 0 1 0 1 -1 0 -1 0 -1 0 -1 0 \u23a5\n \u23a5\n 1 0 1 0 0 -1 0 -1 0 -1 0 -1\u23a5\n \u23a5\n -1 0 1 0 0 1 0 -1 0 1 0 -1\u23a5\n \u23a5\n 0 -1 0 1 1 0 -1 0 1 0 -1 0 \u23a5\n \u23a5\n -1 0 -1 0 0 -1 0 -1 0 1 0 1 \u23a5\n \u23a5\n 0 -1 0 -1 -1 0 -1 0 1 0 1 0 \u23a5\n \u23a5\n1 0 -1 0 1 -1 0 1 0 1 0 -1 0 \u23a5\n \u23a5\n -1 0 1 0 0 -1 0 1 0 1 0 -1\u23a6" | |
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259 | } | |
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260 | ], | |
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261 | "collapsed": false, | |
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262 | "prompt_number": 15, | |
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263 | "input": "represent(4*encoding_circuit, nqubits=5)" | |
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264 | } | |
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265 | ] | |
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266 | } | |
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267 | ] | |
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268 | } No newline at end of file | |
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1 | <?xml version="1.0" encoding="utf-8"?> | |
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2 | <notebook> | |
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3 | <name>qft</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><h1>Quantum Fourier Transform</h1></source> | |
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10 | </markdowncell> | |
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11 | <codecell> | |
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12 | <input>%load_ext sympyprinting</input> | |
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13 |
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14 | <prompt_number>1</prompt_number> | |
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15 | <collapsed>1</collapsed> | |
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16 | <outputs /> | |
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17 | </codecell> | |
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18 | <codecell> | |
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19 | <input>from sympy import sqrt, symbols, Rational | |
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20 | from sympy import expand, Eq, Symbol, simplify, exp, sin | |
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21 | from sympy.physics.quantum import * | |
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22 | from sympy.physics.quantum.qubit import * | |
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23 | from sympy.physics.quantum.gate import * | |
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24 | from sympy.physics.quantum.grover import * | |
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25 | from sympy.physics.quantum.qft import QFT, IQFT, Fourier | |
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26 | from sympy.physics.quantum.circuitplot import circuit_plot</input> | |
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27 | <language>python</language> | |
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28 | <prompt_number>2</prompt_number> | |
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29 | <collapsed>1</collapsed> | |
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30 | <outputs /> | |
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31 | </codecell> | |
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32 | <markdowncell> | |
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33 | <source>QFT is useful for a quantum algorithm for factoring numbers which is exponentially faster than what is thought to be possible on a classical machine.<br> | |
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34 | The transform does a DFT on the state of a quantum system<br> | |
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35 | There is a simple decomposition of the QFT in terms of a few elementary gates.</source> | |
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36 | </markdowncell> | |
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37 | <markdowncell> | |
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38 | <source><h2>QFT Gate and Circuit</h2></source> | |
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39 | </markdowncell> | |
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40 | <markdowncell> | |
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41 | <source>Build a 3 qubit QFT and decompose it into primitive gates.</source> | |
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42 | </markdowncell> | |
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43 | <codecell> | |
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44 | <input>fourier = QFT(0,3).decompose(); fourier | |
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45 | </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>0</collapsed> | |
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49 | <outputs> | |
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50 | <output> | |
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51 | <output_type>pyout</output_type> | |
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52 | <text>SWAP β H β C βS ββ H β C βT ββ C βS ββ H | |
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53 | 0,2 0 0β 1β 1 0β 2β 1β 2β 2</text> | |
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54 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVRrQUFBQWNDQVlBQUFBYTk4akFBQUFBQkhOQ1NWUUlD | |
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114 | RnRvQUFBQUFTVVZPUks1Q1lJST0K | |
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115 | </png> | |
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116 | <latex>$$SWAP_{0,2} H_{0} C_{0}{\left(S_{1}\right)} H_{1} C_{0}{\left(T_{2}\right)} C_{1}{\left(S_{2}\right)} H_{2}$$</latex> | |
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117 | <prompt_number>3</prompt_number> | |
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118 |
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119 | </outputs> | |
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120 | </codecell> | |
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121 | <codecell> | |
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122 | <input>circuit_plot(fourier, nqubits=3)</input> | |
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123 | <language>python</language> | |
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124 | <prompt_number>4</prompt_number> | |
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125 | <collapsed>0</collapsed> | |
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126 |
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127 | <output> | |
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128 |
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129 | <text>&lt;sympy.physics.quantum.circuitplot.CircuitPlot object at 0x4992910&gt;</text> | |
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130 | <prompt_number>4</prompt_number> | |
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131 | </output> | |
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132 | <output> | |
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133 | <output_type>display_data</output_type> | |
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134 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQWE4QUFBREZDQVlBQUFEamMzMkpBQUFBQkhOQ1NWUUlD | |
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218 | QXdEdVVGQURBTzVRVUFZN0JzMlRLbHA2Zkw1WExKNC9GbzNyeDVXck5talNUcDBLRkRLaXdzMVBU | |
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220 | YXYzNjlObS9lUEdUOHVlZWUwOGFORzdWdAoyemF0V0xGaTFNZVBOSkdVbHlzdkFCaWoydHBhU2RL | |
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221 | U0pVc0NqbGRWVmNudGRtdlJva1hoakhWT29MeGdETC9mcngwN2RraVNqaDA3CjVuQWFqRlpUVTVQ | |
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222 | ZWVlY2RTVkpmWDUrellVS2twcVpHSG85SHVibTVROFo2ZW5yazlYcVZrWkdoeE1SRUI5S2R2Zjcr | |
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223 | ZmxWVVZLaS8KdjMvUS9wOS8vbG1mZi82NVE2bitSWG5CQ0Q2ZlQ5T21UZFBxMWFzbFNkT25UOWUy | |
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224 | YmRzY1RvV1JzRzFiR3paczBCVlhYS0g3N3J0UAprblRaWlpmcHlKRWpEaWM3Ty8zOS9mSjZ2Y3JN | |
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226 | Zi8rOW85a29MMFM4L3Y1K0ZSY1hxNjJ0VFIwZEhaTCsvYUZhdlhxMS92NzdiNGZUNFV5cXE2djF4 | |
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227 | aHR2cUx1N1cxMWQKWFpLa1gzLzlWZXZXclhNNDJkbXByNjlYZTN1N0Nnb0tBbzVYVlZWSmtoWXNX | |
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228 | QkRHVktFVkZ4ZW5Uei85VkFjUEh0VGF0V3NsU1lXRgpoWHI4OGNkMTc3MzNPcG90eHRHdkRvekFq | |
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229 | ei8rcUxhMnRpSDdZMkppdEh2M2J0MSsrKzBPcE1KSXZmLysrL0w3L1lQMjlmYjI2dU9QClAzWW9V | |
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230 | V2ljdnQrMWUvZHVmZm5sbDBQR2ZUNmZMTXN5K3NwTGtoSVNFdlRwcDU4T2xIUlpXWmxLUzB1ZERh | |
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231 | VmhuamEwTEN2Y1dRQWcKNGdSN3VtN1pzbVg2K09PUDFkYldwcmk0dUVGamZYMTltalJwa2k2OTlG | |
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232 | Sjk5OTEzUVkvTjYrellCVjAydEcyYmpTMWl0cXV1dWtwdQp0M3ZRdjlHa3BDUjFkM2M3bm8xdCtP | |
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233 | Mjc3NzRiOHVJZUd4dXJCeDU0d1BGc1o5cUdlMzNjdDIrZnJyenl5aUZ6azZTdnZ2cEszZDNkCkk3 | |
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234 | cnFjbnFPWjlxYW1wbzBZOFlNL2U5Ly85T0pFeWVVazVPak5XdldxSyt2ejlGYzNQT0NFWGJ1M0ts | |
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235 | NTgrWXBOalpXOGZIeG1qRmoKaHZiczJhT0pFeWM2SFExbk1IZnVYRzNkdWxXVEprMVNRa0tDSmt5 | |
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236 | WW9LVkxsK3E1NTU1ek90cVlOVFEwNk5peFk4ckx5d3M0WGxkWApKOG5zKzEyUzFOWFZwYUtpSWoz | |
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237 | KytPTXFMUzBkV0VJOGVQQ2dubm5tR1VlemNjOExScmo0NG92bDgvbDA2TkFoblR4NVVyTm56MmJK | |
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238 | CnhTQWxKU1c2OWRaYjFkallxQXN2dkZCVHBreHhPdEpaT1gyL0s5QWo4cExrOVhvbHlmajdYZkh4 | |
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239 | OGZya2swK1VucDQrc085MGdiVzMKdHp1WWpFL1lBSUNnZ24yaXhPMjMzNjd0Mjdmcmp6LytVR3Bx | |
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|
240 | NnBEeGl5NjZTSk1tVFZKalkrT1lqbzh6WTlrUUFFYmgxS2xUcXE2dQpWbHBhV3NEaXFxK3ZWMnRy | |
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241 | cStiUG4rOUF1bk1INVFVQUk5RFMwcUlGQ3hZb1BUMWRSNDhlVlV0TGkzSnpjL1hhYTY5Sit2ZSti | |
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|
242 | RTVPCmpoWXVYQ2pMc2xSWldhbUNnZ0xIUDRraVdyRnNDQUJCOEo5UlJpNnV2QUFBeHFHOEFBREdv | |
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|
243 | YndBQU1iaGZWNEFNSXp4ZkQ5aFVsTFMKdUIwNzJsRmVBQkFFRDFORUxwWU5BUURHb2J3QUFNYWh2 | |
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|
244 | QUFBeHFHOEFBREdvYndBQU1haHZBQUF4cUc4QUFER29id0FBTWFodkFBQQp4cUc4QUFER29id0FB | |
|
|
245 | TWFodkFBQXhxRzhBQURHb2J3QUFNYWh2QUFBeHFHOEFBREdvYndBQU1haHZBQUF4cUc4QUFER29i | |
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246 | d0FBTWFoCnZBQUF4cUc4QUFER29id0FBTWFodkFBQXhxRzhBQURHb2J3QUFNYWh2QUFBeHFHOEFB | |
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247 | REdvYndBQU1haHZBQUF4cUc4QUFER29id0EKQU1haHZBQUF4cUc4QUFERytUOWJuYnVwaW1SUzFn | |
|
|
248 | QUFBQUJKUlU1RXJrSmdnZz09Cg== | |
|
|
249 | </png> | |
|
|
250 | </output> | |
|
|
251 | </outputs> | |
|
|
252 | </codecell> | |
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|
253 | <markdowncell> | |
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|
254 | <source>The QFT circuit can be represented in various symbolic forms.</source> | |
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|
255 | </markdowncell> | |
|
|
256 | <codecell> | |
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|
257 | <input>m = represent(fourier, nqubits=3)</input> | |
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|
258 | <language>python</language> | |
|
|
259 | <prompt_number>5</prompt_number> | |
|
|
260 | <collapsed>1</collapsed> | |
|
|
261 | <outputs /> | |
|
|
262 | </codecell> | |
|
|
263 | <codecell> | |
|
|
264 | <input>m</input> | |
|
|
265 | <language>python</language> | |
|
|
266 | <prompt_number>6</prompt_number> | |
|
|
267 | <collapsed>0</collapsed> | |
|
|
268 | <outputs> | |
|
|
269 | <output> | |
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270 | <output_type>pyout</output_type> | |
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271 | <text>β‘ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ | |
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272 | β’β²β± 2 β²β± 2 β²β± 2 β²β± 2 β²β± 2 β²β± 2 β²β± 2 | |
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273 | β’βββββ βββββ βββββ βββββ βββββ βββββ βββββ | |
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274 | β’ 4 4 4 4 4 4 4 | |
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275 | β’ | |
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276 | β’ β β Ο β β Ο β β Ο | |
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277 | β’ βββ βββ βββ | |
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278 | β’ β½β½β½ β½β½β½ 4 β½β½β½ β½β½β½ 4 β½β½β½ β½β½β½ 4 β½β½β½ | |
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279 | β’β²β± 2 β²β± 2 β β― β²β± 2 β β β²β± 2 β β β β― -β²β± 2 -β²β± 2 β β― -β²β± 2 β | |
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280 | β’βββββ ββββββββββ βββββββ ββββββββββββ ββββββ βββββββββββ βββββββ | |
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281 | β’ 4 4 4 4 4 4 4 | |
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282 | β’ | |
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283 | β’ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ | |
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284 | β’β²β± 2 β²β± 2 β β -β²β± 2 -β²β± 2 β β β²β± 2 β²β± 2 β β -β²β± 2 | |
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285 | β’βββββ βββββββ ββββββ ββββββββ βββββ βββββββ ββββββ | |
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286 | β’ 4 4 4 4 4 4 4 | |
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287 | β’ | |
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288 | β’ β β Ο β β Ο β β Ο | |
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289 | β’ βββ βββ βββ | |
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290 | β’ β½β½β½ β½β½β½ 4 β½β½β½ β½β½β½ 4 β½β½β½ β½β½β½ 4 β½β½β½ | |
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291 | β’β²β± 2 β²β± 2 β β β β― -β²β± 2 β β β²β± 2 β β― -β²β± 2 -β²β± 2 β β β β― β²β± 2 β β | |
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292 | β’βββββ ββββββββββββ ββββββββ ββββββββββ ββββββ βββββββββββββ βββββββ | |
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293 | β’ 4 4 4 4 4 4 4 | |
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294 | β’ | |
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295 | β’ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ | |
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296 | β’β²β± 2 -β²β± 2 β²β± 2 -β²β± 2 β²β± 2 -β²β± 2 β²β± 2 | |
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297 | β’βββββ ββββββ βββββ ββββββ βββββ ββββββ βββββ | |
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298 | β’ 4 4 4 4 4 4 4 | |
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299 | β’ | |
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300 | β’ β β Ο β β Ο β β Ο | |
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301 | β’ βββ βββ βββ | |
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302 | β’ β½β½β½ β½β½β½ 4 β½β½β½ β½β½β½ 4 β½β½β½ β½β½β½ 4 β½β½β½ | |
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303 | β’β²β± 2 -β²β± 2 β β― β²β± 2 β β -β²β± 2 β β β β― -β²β± 2 β²β± 2 β β― -β²β± 2 β | |
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304 | β’βββββ βββββββββββ βββββββ βββββββββββββ ββββββ ββββββββββ βββββββ | |
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305 | β’ 4 4 4 4 4 4 4 | |
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306 | β’ | |
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307 | β’ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ β½β½β½ | |
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308 | β’β²β± 2 -β²β± 2 β β -β²β± 2 β²β± 2 β β β²β± 2 -β²β± 2 β β -β²β± 2 | |
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309 | β’βββββ ββββββββ ββββββ βββββββ βββββ ββββββββ ββββββ | |
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310 | β’ 4 4 4 4 4 4 4 | |
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311 | β’ | |
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312 | β’ β β Ο β β Ο β β Ο | |
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313 | β’ βββ βββ βββ | |
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314 | β’ β½β½β½ β½β½β½ 4 β½β½β½ β½β½β½ 4 β½β½β½ β½β½β½ 4 β½β½β½ | |
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315 | β’β²β± 2 -β²β± 2 β β β β― -β²β± 2 β β -β²β± 2 β β― -β²β± 2 β²β± 2 β β β β― β²β± 2 β β | |
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316 | β’βββββ βββββββββββββ ββββββββ βββββββββββ ββββββ ββββββββββββ βββββββ | |
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317 | β£ 4 4 4 4 4 4 4 | |
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318 | ||
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319 | β½β½β½ β€ | |
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320 | β²β± 2 β₯ | |
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321 | βββββ β₯ | |
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322 | 4 β₯ | |
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323 | β₯ | |
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324 | β β Οβ₯ | |
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325 | ββββ₯ | |
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326 | β½β½β½ 4 β₯ | |
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327 | β -β²β± 2 β β β β― β₯ | |
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328 | β ββββββββββββββ₯ | |
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329 | 4 β₯ | |
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330 | β₯ | |
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331 | β½β½β½ β₯ | |
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332 | -β²β± 2 β β β₯ | |
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333 | ββββββββ β₯ | |
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334 | 4 β₯ | |
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335 | β₯ | |
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336 | β β Ο β₯ | |
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337 | βββ β₯ | |
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338 | β½β½β½ 4 β₯ | |
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339 | -β²β± 2 β β― β₯ | |
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340 | βββββββββββ β₯ | |
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341 | 4 β₯ | |
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342 | β₯ | |
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343 | β½β½β½ β₯ | |
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344 | -β²β± 2 β₯ | |
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345 | ββββββ β₯ | |
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346 | 4 β₯ | |
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347 | β₯ | |
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348 | β β Ο β₯ | |
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349 | βββ β₯ | |
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350 | β½β½β½ 4 β₯ | |
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351 | β β²β± 2 β β β β― β₯ | |
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352 | β ββββββββββββ β₯ | |
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353 | 4 β₯ | |
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354 | β₯ | |
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355 | β½β½β½ β₯ | |
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356 | β²β± 2 β β β₯ | |
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357 | βββββββ β₯ | |
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358 | 4 β₯ | |
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359 | β₯ | |
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360 | β β Ο β₯ | |
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361 | βββ β₯ | |
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362 | β½β½β½ 4 β₯ | |
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363 | β²β± 2 β β― β₯ | |
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364 | ββββββββββ β₯ | |
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365 | 4 β¦</text> | |
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366 | <latex>$$\left(\begin{smallmatrix}\frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2}\\\frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} e^{\frac{1}{4} \mathbf{\imath} \pi} & \frac{1}{4} \sqrt{2} \mathbf{\imath} & \frac{1}{4} \sqrt{2} \mathbf{\imath} e^{\frac{1}{4} \mathbf{\imath} \pi} & - \frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} e^{\frac{1}{4} \mathbf{\imath} \pi} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} e^{\frac{1}{4} \mathbf{\imath} \pi}\\\frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} \mathbf{\imath} & - \frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} & \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} \mathbf{\imath} & - \frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} \mathbf{\imath}\\\frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} \mathbf{\imath} e^{\frac{1}{4} \mathbf{\imath} \pi} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} & \frac{1}{4} \sqrt{2} e^{\frac{1}{4} \mathbf{\imath} \pi} & - \frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} e^{\frac{1}{4} \mathbf{\imath} \pi} & \frac{1}{4} \sqrt{2} \mathbf{\imath} & - \frac{1}{4} \sqrt{2} e^{\frac{1}{4} \mathbf{\imath} \pi}\\\frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2}\\\frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} e^{\frac{1}{4} \mathbf{\imath} \pi} & \frac{1}{4} \sqrt{2} \mathbf{\imath} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} e^{\frac{1}{4} \mathbf{\imath} \pi} & - \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} e^{\frac{1}{4} \mathbf{\imath} \pi} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} & \frac{1}{4} \sqrt{2} \mathbf{\imath} e^{\frac{1}{4} \mathbf{\imath} \pi}\\\frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} & - \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} \mathbf{\imath} & \frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} & - \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} \mathbf{\imath}\\\frac{1}{4} \sqrt{2} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} e^{\frac{1}{4} \mathbf{\imath} \pi} & - \frac{1}{4} \sqrt{2} \mathbf{\imath} & - \frac{1}{4} \sqrt{2} e^{\frac{1}{4} \mathbf{\imath} \pi} & - \frac{1}{4} \sqrt{2} & \frac{1}{4} \sqrt{2} \mathbf{\imath} e^{\frac{1}{4} \mathbf{\imath} \pi} & \frac{1}{4} \sqrt{2} \mathbf{\imath} & \frac{1}{4} \sqrt{2} e^{\frac{1}{4} \mathbf{\imath} \pi}\end{smallmatrix}\right)$$</latex> | |
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367 | <prompt_number>6</prompt_number> | |
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368 | </output> | |
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369 | </outputs> | |
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370 | </codecell> | |
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371 | <codecell> | |
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372 | <input>represent(Fourier(0,3), nqubits=3)*4/sqrt(2) | |
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373 | </input> | |
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374 | <language>python</language> | |
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375 | <prompt_number>7</prompt_number> | |
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376 | <collapsed>0</collapsed> | |
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377 | <outputs> | |
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378 | <output> | |
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379 | <output_type>pyout</output_type> | |
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380 | <text>β‘1 1 1 1 1 1 1 1 β€ | |
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381 | β’ β₯ | |
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382 | β’ 2 3 4 5 6 7β₯ | |
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383 | β’1 Ο Ο Ο Ο Ο Ο Ο β₯ | |
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384 | β’ β₯ | |
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385 | β’ 2 4 6 2 4 6β₯ | |
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386 | β’1 Ο Ο Ο 1 Ο Ο Ο β₯ | |
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387 | β’ β₯ | |
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388 | β’ 3 6 4 7 2 5β₯ | |
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389 | β’1 Ο Ο Ο Ο Ο Ο Ο β₯ | |
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390 | β’ β₯ | |
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391 | β’ 4 4 4 4β₯ | |
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392 | β’1 Ο 1 Ο 1 Ο 1 Ο β₯ | |
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393 | β’ β₯ | |
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394 | β’ 5 2 7 4 6 3β₯ | |
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395 | β’1 Ο Ο Ο Ο Ο Ο Ο β₯ | |
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396 | β’ β₯ | |
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397 | β’ 6 4 2 6 4 2β₯ | |
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398 | β’1 Ο Ο Ο 1 Ο Ο Ο β₯ | |
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399 | β’ β₯ | |
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400 | β’ 7 6 5 4 3 2 β₯ | |
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401 | β£1 Ο Ο Ο Ο Ο Ο Ο β¦</text> | |
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402 | <latex>$$\left(\begin{smallmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1\\1 & \omega & \omega^{2} & \omega^{3} & \omega^{4} & \omega^{5} & \omega^{6} & \omega^{7}\\1 & \omega^{2} & \omega^{4} & \omega^{6} & 1 & \omega^{2} & \omega^{4} & \omega^{6}\\1 & \omega^{3} & \omega^{6} & \omega & \omega^{4} & \omega^{7} & \omega^{2} & \omega^{5}\\1 & \omega^{4} & 1 & \omega^{4} & 1 & \omega^{4} & 1 & \omega^{4}\\1 & \omega^{5} & \omega^{2} & \omega^{7} & \omega^{4} & \omega & \omega^{6} & \omega^{3}\\1 & \omega^{6} & \omega^{4} & \omega^{2} & 1 & \omega^{6} & \omega^{4} & \omega^{2}\\1 & \omega^{7} & \omega^{6} & \omega^{5} & \omega^{4} & \omega^{3} & \omega^{2} & \omega\end{smallmatrix}\right)$$</latex> | |
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403 | <prompt_number>7</prompt_number> | |
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404 | </output> | |
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405 | </outputs> | |
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406 | </codecell> | |
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407 | <markdowncell> | |
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408 | <source><h2>QFT in Action</h2></source> | |
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409 | </markdowncell> | |
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410 | <markdowncell> | |
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411 | <source>Build a 3 qubit state to take the QFT of.</source> | |
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412 | </markdowncell> | |
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413 | <codecell> | |
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414 | <input>state = (Qubit('000') + Qubit('010') + Qubit('100') + Qubit('110'))/sqrt(4); state | |
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415 | </input> | |
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416 | <language>python</language> | |
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417 | <prompt_number>8</prompt_number> | |
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418 | <collapsed>0</collapsed> | |
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419 | <outputs> | |
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420 | <output> | |
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421 | <output_type>pyout</output_type> | |
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422 | <text>β000β© + β010β© + β100β© + β110β© | |
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423 | βββββββββββββββββββββββββββββ | |
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424 | 2</text> | |
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425 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVA0QUFBQWlDQVlBQUFCL2FtUUZBQUFBQkhOQ1NWUUlD | |
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426 | QWdJZkFoa2lBQUFCUjVKUkVGVQplSnp0bkZ0b0hGVVl4My9iSk5hbXBob3JhUnZGVnEyWVFnUXQr | |
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427 | aUJLS3lxaWd1TGxJWUpRUVgzd1FiRytGQzhnNjFNcGxHb3JvcjNnCkJYendwWWhJOVVHMGlvaGFC | |
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428 | VVdyQmtHRldtOTRiMU1xYWMzNjhNMjRrM0V1NTh5ZU16dVovWDZ3N002Wi8zNTgvejJabVhNTktJ | |
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429 | cWkKWkRBTTlIYzdDVVZSeW1FK3NBYjRCbGpSM1ZRVVJYSEJQQVBOQkRBRW5PVTVGMFZSS2tnTGZl | |
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430 | SXJTaTB3ZWVJcmlsSXpldjNDUHgyNAp1TnRKbEVRdmVRWDFtMG1mUmVBbXNCWDQwektoS0FOSWdv | |
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431 | ZUFHNEhKMlBuNXdMM0F6Y0FGd0JUd2MwSWNWN29wNEc1Z2J5RTNkc1Q5Cm1ub0FhQUFiZ1ErQTZS | |
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432 | Uk5sYjJHdVBCaHFwc3JmazExUmZ5ZUEveVJuMzQybmZieCt4Rnpwd1RIemRqNVB1QWo0S0hnZUJI | |
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433 | d0NiRE8Kcys0ZVlJbTVqY0kwSTU5TmN3dTFUeUsvLzJrcHNhdnNOY1NsajdyNE5kVVY5YnNSdWZn | |
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434 | TDB3Z1M2MlJrZnpOd2J1UzRHVHQvRy9BWAowaW9JV1FjY1lYYnlyblduQXZjYmVvaGoyMkt5eVcw | |
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435 | RWVCbDREL2lhN0QrTUtudjE0YU1PZnN1bzMySGduWXk0bWR3T1BJUGNjVjRFCjFoZUljVDd3Vkt5 | |
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436 | c0dmbmNBRDREWG9wcGxnSXp3QVpQdXBCSEtUYmVzY2RDMjdUTWJRQTRNZmk4bWZRL2pDcDdCZmMr | |
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437 | NnVLM3JQcTkKQmRnVUQycnlnendQM0FGY0JOd0tQRzd3blRnYmdKMFo1ODhFeG9FUFkrVS9BZDhC | |
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438 | VjNuU2hid0dYSmZwSUptRkJiNWptdHN4NEcrSAo4VUxLOUFydWZkVEZiMW4xdXh1NG5QWk5CaWhu | |
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439 | Vkw4UHVBenBrNlN4TEhnL25IQnVDbGpwU1JmeVBuQkpSbjR1c2MzTmRid3l2ZHBRCmg3cjFnUXUv | |
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440 | dndBM1JRdkt1UERIZ1lOSXN5U05wY0g3Vk1LNUk3UUhCRjNyb2h3RXpzakkwUlZGY25NZHJ5eXZO | |
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441 | dFNoYm4zZ3d1OGsKY2gzK1Izamh0enk4UWthQjMzTE1MUWplanlXY2F5RlRHVDUwVVVhQVgzUHlk | |
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442 | RUdSM0Z6SEs4dXJEWFdvV3grNDhEc0pMSThLd3QxMgpqVTZ6eTJBWU9KcWorVExqM0VLa3FlSkRG | |
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443 | eklJL0lOWm42dFRiSE56SGE5TXJ6YlVvVzU5NE1MdkFkb3RCNkNjYmJhL2t6OE4rQVZ3Cm5QYmRM | |
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444 | Y29nOEtNblhjZ0VNbU9SUkFQWWxoTHJQR0JYUXZrTThDREpMUjNiM1BLb3NsY2I2bEMzUG5EaGR6 | |
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445 | bXhoVHhsWFBnL0FHTTUKbW1uZ0svN2ZEeHRFVnZydDg2UUxXUWs4bTVKYkM5aE9iRlEwNEVMZzZZ | |
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446 | VHlHZEpYVE5ubWxrZVZ2ZHBRaDdyMWdRdS9xNER2b3dWbApYUGo3a2FiSE1yS2ZacDhpVTRaUjFn | |
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447 | QW5NSHNxMExWdU5iSkdJWXY5S2VXSERiNmJoR2x1cnVOMXc2c05kYWhiSDNUcWQ0eFk2NldNClVm | |
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448 | MFpaRzV4Vlk3dUJlQnFabmNMcmtmV0w3L2hVWGNEOEVxZUNjZVk1dVk2WGplODJsQ0h1dlZCcDM3 | |
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449 | UEJsNlBGcGc4OFJjQWR5RnIKZ0E4QXo1Rzk0U0NKVGNIcnpRek5IdUFCWk1IQlZtUTI0RXFreitK | |
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450 | THR3aVpKamx1NmFkVFRITHJCKzVEQm1YdURNcDJJNXN3OWdKdgpXOGJybGxmWFBreDFWZmRiVnYx | |
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451 | T0FLOFNXd2VRTjVvL0QzZ0NlQVRwMTJ4Qm1oeHJrZWE3RGR1QWoybjNQNWFRdk91cUgybXlIRVdt | |
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452 | CklaS21NVnpwaHBEZjRKQ3BpUmh2SWF1aVRFanltNVZiSDNCdFNxeHZnYzhUeXF2bzFiVVBVMTNW | |
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453 | L1paUnY0c1JIMnVSUVhaanhwRSsKMEVod1BJb01pRnhxRXlTUzlBNWkwd3B6bkRLMmZGYUZYdklL | |
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454 | OWZDN0Jka25ZODBROEJqU2pBQzVBYlF3dnhQR0NmZmoxd1hiNWJWegptVjd5Q3ZYd3U4SlZvUFhJ | |
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455 | Wm9HQlBLR2lLUFZnREhnWGFlNHJpdElEakNMOTg1T0Q0MTcvWDMyS1Vuc1dBdy9UYnQ2dkJxN3BY | |
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456 | anFLCm9uUkszblRlU2NqRS96VHRIWGVqd0JYSTFqOUZVZVlnZVF0NEJwRUZBMUZhNkVXdktJcWlL | |
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457 | SXFpS0lxaUtJcWlLRjNuWDdyc1VmN2kKM2xJV0FBQUFBRWxGVGtTdVFtQ0MK | |
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|
458 | </png> | |
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459 | <latex>$$\frac{1}{2} \left({\left|000\right\rangle } + {\left|010\right\rangle } + {\left|100\right\rangle } + {\left|110\right\rangle }\right)$$</latex> | |
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460 | <prompt_number>8</prompt_number> | |
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461 | </output> | |
|
|
462 | </outputs> | |
|
|
463 | </codecell> | |
|
|
464 | <markdowncell> | |
|
|
465 | <source>Perform the QFT.</source> | |
|
|
466 | </markdowncell> | |
|
|
467 | <codecell> | |
|
|
468 | <input>qapply(fourier*state) | |
|
|
469 | </input> | |
|
|
470 | <language>python</language> | |
|
|
471 | <prompt_number>9</prompt_number> | |
|
|
472 | <collapsed>0</collapsed> | |
|
|
473 | <outputs> | |
|
|
474 | <output> | |
|
|
475 | <output_type>pyout</output_type> | |
|
|
476 | <text>β½β½β½ β½β½β½ | |
|
|
477 | β²β± 2 β β000β© β²β± 2 β β100β© | |
|
|
478 | βββββββββββ + βββββββββββ | |
|
|
479 | 2 2</text> | |
|
|
480 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5BQUFBQWtDQVlBQUFENHA3UjdBQUFBQkhOQ1NWUUlD | |
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502 | cFh0ajVmcVNpTzZBWWNVTnpTd1RkRkM1NW50ZmhSRmlVU2RyV1d1aW5MSWNONUhKUW1QTmJDCjFm | |
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503 | aXZtSEQ3S3JZdGNQc0owVkxsQjZHbjUvNmUwWm05MlNMNjJIbDI0bjlpUHFDS09HTGczZXVwNUNu | |
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506 | ZUpqMkFlL0JEUEtNNEE5S05iNGorOTRUNGNjM2k2N2daZittejdSNDhMVnIwakhYNEtHNnJNRzRE | |
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507 | Cm51aFR0OFhHS0E0WnpXTTdoN1EraTlMcVkrUHhHTkhTN01DUGRkN1NodVZFOFF6VFFsNzFQVlZr | |
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508 | Z3JwbGkwN0p4VzlvTGUxTWl6NzgKVGpFYnYxZjAzL09VR2Zjanc3L1BYOVlkYUZ3Y1VvN0hMNHZF | |
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509 | dzNPdGJkNFZEMy8rVER3TmtWRzV4MzVpSjBYVzVidmlTMS9YMnZGYQowVDhjaFkrSjIrU2dUT1Br | |
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510 | SHV1ZkVuWE15RnFsZ3dXeEswUUxzMS92ZjF4U1J0d1I0b2MyRExOaXJERktzbUNjSEZLT3gyd2NX | |
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511 | TVErCjg1MDM1bkVOL3VxOWdkUFJyUjEvY2FFN1NnekZadkcvREVZaE9XeVFLZkZ1Ui9aWTkycHg4 | |
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515 | Wk9ETlc0Ck1IRFZBQUFBQUVsRlRrU3VRbUNDCg== | |
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516 | </png> | |
|
|
517 | <latex>$$\frac{1}{2} \sqrt{2} {\left|000\right\rangle } + \frac{1}{2} \sqrt{2} {\left|100\right\rangle }$$</latex> | |
|
|
518 | <prompt_number>9</prompt_number> | |
|
|
519 | </output> | |
|
|
520 | </outputs> | |
|
|
521 | </codecell> | |
|
|
522 | </cells> | |
|
|
523 | </worksheet> | |
|
|
524 | </worksheets> | |
|
|
525 | </notebook> | |
|
|
1 | { | |
|
|
2 | "nbformat": 2, | |
|
|
3 | "name": "qft", | |
|
|
4 | "worksheets": [ | |
|
|
5 | { | |
|
|
6 | "cells": [ | |
|
|
7 | { | |
|
|
8 | "source": "<h1>Quantum Fourier Transform</h1>", | |
|
|
9 | "cell_type": "markdown" | |
|
|
10 | }, | |
|
|
11 | { | |
|
|
12 | "cell_type": "code", | |
|
|
13 | "language": "python", | |
|
|
14 | "outputs": [], | |
|
|
15 | "collapsed": true, | |
|
|
16 | "prompt_number": 1, | |
|
|
17 | "input": "%load_ext sympyprinting" | |
|
|
18 | }, | |
|
|
19 | { | |
|
|
20 | "cell_type": "code", | |
|
|
21 | "language": "python", | |
|
|
22 | "outputs": [], | |
|
|
23 | "collapsed": true, | |
|
|
24 | "prompt_number": 2, | |
|
|
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": "QFT is useful for a quantum algorithm for factoring numbers which is exponentially faster than what is thought to be possible on a classical machine.<br>\nThe transform does a DFT on the state of a quantum system<br>\nThere is a simple decomposition of the QFT in terms of a few elementary gates.", | |
|
|
29 | "cell_type": "markdown" | |
|
|
30 | }, | |
|
|
31 | { | |
|
|
32 | "source": "<h2>QFT Gate and Circuit</h2>", | |
|
|
33 | "cell_type": "markdown" | |
|
|
34 | }, | |
|
|
35 | { | |
|
|
36 | "source": "Build a 3 qubit QFT and decompose it into primitive gates.", | |
|
|
37 | "cell_type": "markdown" | |
|
|
38 | }, | |
|
|
39 | { | |
|
|
40 | "cell_type": "code", | |
|
|
41 | "language": "python", | |
|
|
42 | "outputs": [ | |
|
|
43 | { | |
|
|
44 | "output_type": "pyout", | |
|
|
45 | "latex": "$$SWAP_{0,2} H_{0} C_{0}{\\left(S_{1}\\right)} H_{1} C_{0}{\\left(T_{2}\\right)} C_{1}{\\left(S_{2}\\right)} H_{2}$$", | |
|
|
46 | "prompt_number": 3, | |
|
|
47 | "png": "iVBORw0KGgoAAAANSUhEUgAAATkAAAAcCAYAAAAa98jAAAAABHNCSVQICAgIfAhkiAAACalJREFU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\nBAKBQCAQCAQCgUAgEAgEPPkfTF7L9pqXFtoAAAAASUVORK5CYII=\n", | |
|
|
48 | "text": "SWAP \u22c5H \u22c5C \u239bS \u239e\u22c5H \u22c5C \u239bT \u239e\u22c5C \u239bS \u239e\u22c5H \n 0,2 0 0\u239d 1\u23a0 1 0\u239d 2\u23a0 1\u239d 2\u23a0 2" | |
|
|
49 | } | |
|
|
50 | ], | |
|
|
51 | "collapsed": false, | |
|
|
52 | "prompt_number": 3, | |
|
|
53 | "input": "fourier = QFT(0,3).decompose(); fourier\n" | |
|
|
54 | }, | |
|
|
55 | { | |
|
|
56 | "cell_type": "code", | |
|
|
57 | "language": "python", | |
|
|
58 | "outputs": [ | |
|
|
59 | { | |
|
|
60 | "output_type": "pyout", | |
|
|
61 | "prompt_number": 4, | |
|
|
62 | "text": "<sympy.physics.quantum.circuitplot.CircuitPlot object at 0x4992910>" | |
|
|
63 | }, | |
|
|
64 | { | |
|
|
65 | "output_type": "display_data", | |
|
|
66 | "png": 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i1MePNJGUlysvABij2tpaSdKSJUsCjldVVcntdmvRokXhjHVOoLxgDL/frx07dkiSjh07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\nAMahvAAAxqG8AADG+T9bnbupimRS1gAAAABJRU5ErkJggg==\n" | |
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67 | } | |
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68 | ], | |
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69 | "collapsed": false, | |
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70 | "prompt_number": 4, | |
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71 | "input": "circuit_plot(fourier, nqubits=3)" | |
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72 | }, | |
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73 | { | |
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74 | "source": "The QFT circuit can be represented in various symbolic forms.", | |
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75 | "cell_type": "markdown" | |
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76 | }, | |
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77 | { | |
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78 | "cell_type": "code", | |
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79 | "language": "python", | |
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80 | "outputs": [], | |
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81 | "collapsed": true, | |
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82 | "prompt_number": 5, | |
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83 | "input": "m = represent(fourier, nqubits=3)" | |
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84 | }, | |
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85 | { | |
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86 | "cell_type": "code", | |
|
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87 | "language": "python", | |
|
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88 | "outputs": [ | |
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89 | { | |
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90 | "output_type": "pyout", | |
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91 | "latex": "$$\\left(\\begin{smallmatrix}\\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2}\\\\\\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & - \\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi}\\\\\\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & - \\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & - \\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath}\\\\\\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & \\frac{1}{4} \\sqrt{2} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & - \\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & - \\frac{1}{4} \\sqrt{2} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi}\\\\\\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2}\\\\\\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & - \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi}\\\\\\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & - \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & \\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & - \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath}\\\\\\frac{1}{4} \\sqrt{2} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & - \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & - \\frac{1}{4} \\sqrt{2} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & - \\frac{1}{4} \\sqrt{2} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} & \\frac{1}{4} \\sqrt{2} \\mathbf{\\imath} & \\frac{1}{4} \\sqrt{2} e^{\\frac{1}{4} \\mathbf{\\imath} \\pi}\\end{smallmatrix}\\right)$$", | |
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92 | "prompt_number": 6, | |
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93 | "text": "\u23a1 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n\u23a2\u2572\u2571 2 \u2572\u2571 2 \u2572\u2571 2 \u2572\u2571 2 \u2572\u2571 2 \u2572\u2571 2 \u2572\u2571 2 \n\u23a2\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \n\u23a2 4 4 4 4 4 4 4 \n\u23a2 \n\u23a2 \u2148\u22c5\u03c0 \u2148\u22c5\u03c0 \u2148\u22c5\u03c0 \n\u23a2 \u2500\u2500\u2500 \u2500\u2500\u2500 \u2500\u2500\u2500 \n\u23a2 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd 4 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd 4 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd 4 \u23bd\u23bd\u23bd \n\u23a2\u2572\u2571 2 \u2572\u2571 2 \u22c5\u212f \u2572\u2571 2 \u22c5\u2148 \u2572\u2571 2 \u22c5\u2148\u22c5\u212f -\u2572\u2571 2 -\u2572\u2571 2 \u22c5\u212f -\u2572\u2571 2 \u22c5\n\u23a2\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\n\u23a2 4 4 4 4 4 4 4 \n\u23a2 \n\u23a2 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd\n\u23a2\u2572\u2571 2 \u2572\u2571 2 \u22c5\u2148 -\u2572\u2571 2 -\u2572\u2571 2 \u22c5\u2148 \u2572\u2571 2 \u2572\u2571 2 \u22c5\u2148 -\u2572\u2571 2 \n\u23a2\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\n\u23a2 4 4 4 4 4 4 4 \n\u23a2 \n\u23a2 \u2148\u22c5\u03c0 \u2148\u22c5\u03c0 \u2148\u22c5\u03c0 \n\u23a2 \u2500\u2500\u2500 \u2500\u2500\u2500 \u2500\u2500\u2500 \n\u23a2 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd 4 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd 4 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd 4 \u23bd\u23bd\u23bd \n\u23a2\u2572\u2571 2 \u2572\u2571 2 \u22c5\u2148\u22c5\u212f -\u2572\u2571 2 \u22c5\u2148 \u2572\u2571 2 \u22c5\u212f -\u2572\u2571 2 -\u2572\u2571 2 \u22c5\u2148\u22c5\u212f \u2572\u2571 2 \u22c5\u2148\n\u23a2\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\n\u23a2 4 4 4 4 4 4 4 \n\u23a2 \n\u23a2 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n\u23a2\u2572\u2571 2 -\u2572\u2571 2 \u2572\u2571 2 -\u2572\u2571 2 \u2572\u2571 2 -\u2572\u2571 2 \u2572\u2571 2 \n\u23a2\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \n\u23a2 4 4 4 4 4 4 4 \n\u23a2 \n\u23a2 \u2148\u22c5\u03c0 \u2148\u22c5\u03c0 \u2148\u22c5\u03c0 \n\u23a2 \u2500\u2500\u2500 \u2500\u2500\u2500 \u2500\u2500\u2500 \n\u23a2 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd 4 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd 4 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd 4 \u23bd\u23bd\u23bd \n\u23a2\u2572\u2571 2 -\u2572\u2571 2 \u22c5\u212f \u2572\u2571 2 \u22c5\u2148 -\u2572\u2571 2 \u22c5\u2148\u22c5\u212f -\u2572\u2571 2 \u2572\u2571 2 \u22c5\u212f -\u2572\u2571 2 \u22c5\n\u23a2\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\n\u23a2 4 4 4 4 4 4 4 \n\u23a2 \n\u23a2 \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd\n\u23a2\u2572\u2571 2 -\u2572\u2571 2 \u22c5\u2148 -\u2572\u2571 2 \u2572\u2571 2 \u22c5\u2148 \u2572\u2571 2 -\u2572\u2571 2 \u22c5\u2148 -\u2572\u2571 2 \n\u23a2\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\n\u23a2 4 4 4 4 4 4 4 \n\u23a2 \n\u23a2 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\u23a5\n \u2148\u22c5\u03c0\u23a5\n \u2500\u2500\u2500\u23a5\n \u23bd\u23bd\u23bd 4 \u23a5\n\u2148 -\u2572\u2571 2 \u22c5\u2148\u22c5\u212f \u23a5\n\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u23a5\n 4 \u23a5\n \u23a5\n \u23bd\u23bd\u23bd \u23a5\n -\u2572\u2571 2 \u22c5\u2148 \u23a5\n \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u23a5\n 4 \u23a5\n \u23a5\n \u2148\u22c5\u03c0 \u23a5\n \u2500\u2500\u2500 \u23a5\n \u23bd\u23bd\u23bd 4 \u23a5\n -\u2572\u2571 2 \u22c5\u212f \u23a5\n \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u23a5\n 4 \u23a5\n \u23a5\n \u23bd\u23bd\u23bd \u23a5\n -\u2572\u2571 2 \u23a5\n \u2500\u2500\u2500\u2500\u2500\u2500 \u23a5\n 4 \u23a5\n \u23a5\n \u2148\u22c5\u03c0 \u23a5\n \u2500\u2500\u2500 \u23a5\n \u23bd\u23bd\u23bd 4 \u23a5\n\u2148 \u2572\u2571 2 \u22c5\u2148\u22c5\u212f \u23a5\n\u2500 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u23a5\n 4 \u23a5\n \u23a5\n \u23bd\u23bd\u23bd \u23a5\n \u2572\u2571 2 \u22c5\u2148 \u23a5\n \u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u23a5\n 4 \u23a5\n \u23a5\n \u2148\u22c5\u03c0 \u23a5\n \u2500\u2500\u2500 \u23a5\n \u23bd\u23bd\u23bd 4 \u23a5\n \u2572\u2571 2 \u22c5\u212f \u23a5\n \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u23a5\n 4 \u23a6" | |
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94 | } | |
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95 | ], | |
|
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96 | "collapsed": false, | |
|
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97 | "prompt_number": 6, | |
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98 | "input": "m" | |
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99 | }, | |
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100 | { | |
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101 | "cell_type": "code", | |
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102 | "language": "python", | |
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103 | "outputs": [ | |
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104 | { | |
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105 | "output_type": "pyout", | |
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106 | "latex": "$$\\left(\\begin{smallmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1\\\\1 & \\omega & \\omega^{2} & \\omega^{3} & \\omega^{4} & \\omega^{5} & \\omega^{6} & \\omega^{7}\\\\1 & \\omega^{2} & \\omega^{4} & \\omega^{6} & 1 & \\omega^{2} & \\omega^{4} & \\omega^{6}\\\\1 & \\omega^{3} & \\omega^{6} & \\omega & \\omega^{4} & \\omega^{7} & \\omega^{2} & \\omega^{5}\\\\1 & \\omega^{4} & 1 & \\omega^{4} & 1 & \\omega^{4} & 1 & \\omega^{4}\\\\1 & \\omega^{5} & \\omega^{2} & \\omega^{7} & \\omega^{4} & \\omega & \\omega^{6} & \\omega^{3}\\\\1 & \\omega^{6} & \\omega^{4} & \\omega^{2} & 1 & \\omega^{6} & \\omega^{4} & \\omega^{2}\\\\1 & \\omega^{7} & \\omega^{6} & \\omega^{5} & \\omega^{4} & \\omega^{3} & \\omega^{2} & \\omega\\end{smallmatrix}\\right)$$", | |
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107 | "prompt_number": 7, | |
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108 | "text": "\u23a11 1 1 1 1 1 1 1 \u23a4\n\u23a2 \u23a5\n\u23a2 2 3 4 5 6 7\u23a5\n\u23a21 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u23a5\n\u23a2 \u23a5\n\u23a2 2 4 6 2 4 6\u23a5\n\u23a21 \u03c9 \u03c9 \u03c9 1 \u03c9 \u03c9 \u03c9 \u23a5\n\u23a2 \u23a5\n\u23a2 3 6 4 7 2 5\u23a5\n\u23a21 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u23a5\n\u23a2 \u23a5\n\u23a2 4 4 4 4\u23a5\n\u23a21 \u03c9 1 \u03c9 1 \u03c9 1 \u03c9 \u23a5\n\u23a2 \u23a5\n\u23a2 5 2 7 4 6 3\u23a5\n\u23a21 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u23a5\n\u23a2 \u23a5\n\u23a2 6 4 2 6 4 2\u23a5\n\u23a21 \u03c9 \u03c9 \u03c9 1 \u03c9 \u03c9 \u03c9 \u23a5\n\u23a2 \u23a5\n\u23a2 7 6 5 4 3 2 \u23a5\n\u23a31 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u03c9 \u23a6" | |
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109 | } | |
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110 | ], | |
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111 | "collapsed": false, | |
|
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112 | "prompt_number": 7, | |
|
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113 | "input": "represent(Fourier(0,3), nqubits=3)*4/sqrt(2)\n" | |
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114 | }, | |
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115 | { | |
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116 | "source": "<h2>QFT in Action</h2>", | |
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117 | "cell_type": "markdown" | |
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118 | }, | |
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119 | { | |
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120 | "source": "Build a 3 qubit state to take the QFT of.", | |
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121 | "cell_type": "markdown" | |
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122 | }, | |
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123 | { | |
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124 | "cell_type": "code", | |
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125 | "language": "python", | |
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126 | "outputs": [ | |
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|
127 | { | |
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128 | "output_type": "pyout", | |
|
|
129 | "latex": "$$\\frac{1}{2} \\left({\\left|000\\right\\rangle } + {\\left|010\\right\\rangle } + {\\left|100\\right\\rangle } + {\\left|110\\right\\rangle }\\right)$$", | |
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130 | "prompt_number": 8, | |
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131 | "png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAAiCAYAAAB/amQFAAAABHNCSVQICAgIfAhkiAAABR5JREFU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\n3lIWAAAAAElFTkSuQmCC\n", | |
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132 | "text": "\u2758000\u27e9 + \u2758010\u27e9 + \u2758100\u27e9 + \u2758110\u27e9\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 2" | |
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133 | } | |
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134 | ], | |
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135 | "collapsed": false, | |
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136 | "prompt_number": 8, | |
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137 | "input": "state = (Qubit('000') + Qubit('010') + Qubit('100') + Qubit('110'))/sqrt(4); state\n" | |
|
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138 | }, | |
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139 | { | |
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140 | "source": "Perform the QFT.", | |
|
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141 | "cell_type": "markdown" | |
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142 | }, | |
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143 | { | |
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144 | "cell_type": "code", | |
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145 | "language": "python", | |
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146 | "outputs": [ | |
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147 | { | |
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148 | "output_type": "pyout", | |
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149 | "latex": "$$\\frac{1}{2} \\sqrt{2} {\\left|000\\right\\rangle } + \\frac{1}{2} \\sqrt{2} {\\left|100\\right\\rangle }$$", | |
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150 | "prompt_number": 9, | |
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151 | "png": "iVBORw0KGgoAAAANSUhEUgAAANAAAAAkCAYAAAD4p7R7AAAABHNCSVQICAgIfAhkiAAABZBJREFU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\nMHDVAAAAAElFTkSuQmCC\n", | |
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152 | "text": "\u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n\u2572\u2571 2 \u22c5\u2758000\u27e9 \u2572\u2571 2 \u22c5\u2758100\u27e9\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 2 2" | |
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153 | } | |
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154 | ], | |
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155 | "collapsed": false, | |
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156 | "prompt_number": 9, | |
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157 | "input": "qapply(fourier*state)\n" | |
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158 | } | |
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159 | ] | |
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160 | } | |
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161 | ] | |
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162 | } No newline at end of file | |
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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><h1>Symbolic Quantum Computing</h1></source> | |
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10 | </markdowncell> | |
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11 | <codecell> | |
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12 | <input>%load_ext sympyprinting</input> | |
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13 |
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14 | <prompt_number>1</prompt_number> | |
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15 | <collapsed>1</collapsed> | |
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16 | <outputs /> | |
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17 | </codecell> | |
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18 | <codecell> | |
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19 | <input>from sympy import sqrt, symbols, Rational | |
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20 | from sympy import expand, Eq, Symbol, simplify, exp, sin | |
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21 | from sympy.physics.quantum import * | |
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22 | from sympy.physics.quantum.qubit import * | |
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23 | from sympy.physics.quantum.gate import * | |
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24 | from sympy.physics.quantum.grover import * | |
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25 | from sympy.physics.quantum.qft import QFT, IQFT, Fourier | |
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26 | from sympy.physics.quantum.circuitplot import circuit_plot</input> | |
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27 | <language>python</language> | |
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28 | <prompt_number>2</prompt_number> | |
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29 | <collapsed>1</collapsed> | |
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30 | <outputs /> | |
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31 | </codecell> | |
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32 | <markdowncell> | |
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33 | <source><h2>Qubits</h2></source> | |
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34 | </markdowncell> | |
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35 | <markdowncell> | |
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36 | <source>The state of a set of qubits (Two state systems) is the quantum state that is of interest in Quantum Computing.</source> | |
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37 | </markdowncell> | |
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38 | <codecell> | |
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39 | <input>alpha, beta = symbols('alpha beta',real=True)</input> | |
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40 | <language>python</language> | |
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41 | <prompt_number>3</prompt_number> | |
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42 | <collapsed>1</collapsed> | |
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43 | <outputs /> | |
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44 | </codecell> | |
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45 | <codecell> | |
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46 | <input>psi = alpha*Qubit('00') + beta*Qubit('11'); psi | |
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47 | </input> | |
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48 | <language>python</language> | |
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49 | <prompt_number>4</prompt_number> | |
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50 | <collapsed>0</collapsed> | |
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51 | <outputs> | |
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52 | <output> | |
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53 | <output_type>pyout</output_type> | |
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54 | <text>Ξ±β β00β© + Ξ²β β11β©</text> | |
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55 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUdrQUFBQVhDQVlBQUFBSXFtR0xBQUFBQkhOQ1NWUUlD | |
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59 | dE4KZFNQYVRGMmZ1NW9zOEFnc3dSZWxzdTdFTlRnRkYyQUh2a3ZVMllqdU9HeHVzbjJUWlFXdVF5 | |
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74 | T2x6M2tuYnhKWEZlYVgzZlZndFR1QnpNMzFxU3p5TVIzQXI5czFzWitGd1k2ZVhSblduNDcySmZX | |
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75 | b0p2K0VmbkZpd3pSWm4KcG52RmQ1bUlXVms2MGRvMW5xNGhuNmRqalppM1Y0c054R1hadXg2OGkv | |
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76 | dXo1d1c0dUpTL1M5dzlEZUFoc1VNOEoxRlBJN3ArelIrMApxOXc0ek1jdDRnQzVTbHhYcmNXellt | |
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77 | ZFhKT1h6T3JFVDJ5bG1vcit6LzJ1YTBFM0c1LzhkVlRwcHVmYWN3eWJGbnRoek82UnZOVklzCk5M | |
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78 | cE9kdmlQOHVoVU42QVI5c1JJYXBRNWFpOTZPM1RvMEtIRDFQRXZuNWpwRldLVVN1VUFBQUFBU1VW | |
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79 | T1JLNUNZSUk9Cg== | |
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80 | </png> | |
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81 | <latex>$$\alpha {\left|00\right\rangle } + \beta {\left|11\right\rangle }$$</latex> | |
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82 | <prompt_number>4</prompt_number> | |
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83 | </output> | |
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84 | </outputs> | |
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85 | </codecell> | |
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86 | <codecell> | |
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87 | <input>Dagger(psi) | |
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88 | </input> | |
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89 | <language>python</language> | |
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90 | <prompt_number>5</prompt_number> | |
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91 | <collapsed>0</collapsed> | |
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92 | <outputs> | |
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93 | <output> | |
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94 | <output_type>pyout</output_type> | |
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95 | <text>Ξ±β β¨00β + Ξ²β β¨11β</text> | |
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96 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUdnQUFBQVhDQVlBQUFEbmFBcTFBQUFBQkhOQ1NWUUlD | |
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97 | QWdJZkFoa2lBQUFBNk5KUkVGVQphSUh0MkZ1TVhWTWN4L0dQS3BPVWlCb3oxU0pFTkc0eG9pSHRR | |
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98 | MFZMRWJRaUlXRkVFMEVRSkNLcWphZE9KT0pTRW9yb1EwV0NURHpnCndTMjh1RDY0UllSNkUwTFJT | |
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99 | MEtrZEZxaVpqejgxMDczN05ubnpONHpjODZNNW55VG5iWDNXcis5MXZydnRmLy9kYUhEQWMvYTZl | |
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101 | SkdObWRjaHhXNGNadzJtdW1tek9iMQp4Zzd5NmRpRGhlbDVOajdHUFJQVURVeEZSeXZTSlQ3TTRs | |
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102 | emVJdnlEbnZSY1pqTWNqN3V3RHk4MmFhT0tiaUM3bVZXaDA0MDRBcnRUClEzbnVFeDg2Kzh2MllS | |
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103 | QVA0WVFKNk9weTFDVGV2eGZQNGROYzNoOWlRUG8wdHZrT1BJaERjVkNUK3F2cXBvUmJzYUNRZDV6 | |
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104 | NDI0b3gKZWlGR2NFdE5IZlU5YUNYVzFIeUhDRGRYbHVUZmhyL1FyZHptSXVONVVCWGRRSFl6R1E5 | |
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105 | YWdHMkZ2TFBFMzFhTTBkK2xkRmxOWFR1NQpESzhWOHJyRlQ3UUd2eW0zdWFXVXhkS1QwQzlpWlM5 | |
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106 | MllwMXdkY0kxbCtLamtuZVBTZW51UXY0dzltSitUVjI3Nk1HUHFmMWx3bXVPCkZHRnRFNTdDZWNw | |
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109 | VjlXMWk5UHdUYnIvSERmaEJoRTU1dUVLalcxdQpLZmtCdWorbGp4VTBYNmQwc2VqNFpueUE4MHZx | |
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111 | TkxQQm5GdW9veXUxdGFPbXJobXJqZDB6RWVHb0M5ZVhsTDBrbHZGNTVqVnA3NVNVZnBIU01wdGJT | |
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113 | VHFJUmNIUERjcjZ4U0xwcy9SY1puTkx5VUxjVnVIaQpPMHMwaDRzNTRXMnhIOGpZbGNvT0x1aS93 | |
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114 | cVdGdkJYNEhjOU9RTmRxbG9wQkxYSWlyaEdieTcwcHI1SE5MU01ib0YxNEJaY1V5bGRnCmc5aFo5 | |
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115 | eVo5ZmpQM0JsWVYzbG1QaThYRUMzTndMVFlhdmF5dXFtczFmK0pmc1RmTDZCWjdvZ2ZFZDhsVFpu | |
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116 | UEdYTEhxN2RIOHBLQ3EKYmhSZGVGTEU2UTNDamE5S1pYMWlrbnc0M2VkWlYxTFhLcnlLSi9DeUdJ | |
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117 | eXl2NjZLN3U2cUJpVHFuQ1RNRitkaWM4UVozUE40UnV6dwpteTBJaWpiMzR4TVJ0a2ZTOVQwK05I | |
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118 | cFBWMVZYMStiL0ZYVUdxRjhjaHM1WUpuUFVNMVBabzNxSVhDVG13ZzR6bEkzVDNZSHhPQkE5CnFD | |
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119 | bzkybnp3MmFGRGh3NGRSdkVmTWFmaitnL1d6VDRBQUFBQVNVVk9SSzVDWUlJPQo= | |
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120 | </png> | |
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121 | <latex>$$\alpha {\left\langle 00\right|} + \beta {\left\langle 11\right|}$$</latex> | |
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122 | <prompt_number>5</prompt_number> | |
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123 | </output> | |
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124 | </outputs> | |
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125 | </codecell> | |
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126 | <codecell> | |
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127 | <input>qapply(Dagger(Qubit('00'))*psi) | |
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128 | </input> | |
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129 | <language>python</language> | |
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130 | <prompt_number>6</prompt_number> | |
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131 | <collapsed>0</collapsed> | |
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132 | <outputs> | |
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133 | <output> | |
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134 | <output_type>pyout</output_type> | |
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135 | <text>Ξ±</text> | |
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136 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUE0QUFBQU5DQVlBQUFDWjNGOS9BQUFBQkhOQ1NWUUlD | |
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137 | QWdJZkFoa2lBQUFBTWxKUkVGVQpLSkhWMFRGT1FsRVFoZUhQMTJDQ0xSWVFHa0xySzRrTDBKQklZ | |
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138 | K3NpNkVqczNBQTBoTVlOYUdkbm9Sc3cwTG9FVERTVWtKaFFBUVh6CkVyaDVsWjNUekoweitXZk96 | |
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139 | ZkRIT0NuUldyaERFK2RZNEI2ckEyYWJRam5tdUlrNnd5TmU0dzNqRkdyakJ3K0ozb3NOSFRSSytw | |
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140 | NEQKckNaNk04QitRUFhDU3BHdjhZN2ZCUHlLZklrS3ZnK2JGekYxa05xSTJPSVRwNFZRYkp4SGMx | |
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141 | RUNuV0dETjZ4VGNJa1hkQlBvQ2tQTQo3RStUNFpiak8xWXdRaTMrbGVFakJ1YVlZSXFuc1AxZlln | |
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142 | Y1ByaVYrNlVjV0xBQUFBQUJKUlU1RXJrSmdnZz09Cg== | |
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143 | </png> | |
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144 | <latex>$$\alpha$$</latex> | |
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145 | <prompt_number>6</prompt_number> | |
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146 |
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147 | </outputs> | |
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148 | </codecell> | |
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149 | <markdowncell> | |
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150 | <source>SymPy supports many different types of measurements.</source> | |
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151 | </markdowncell> | |
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152 | <codecell> | |
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153 | <input>for state, prob in measure_all(psi): | |
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154 | display(state) | |
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155 | display(prob) | |
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156 | </input> | |
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157 |
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158 | <prompt_number>7</prompt_number> | |
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159 | <collapsed>0</collapsed> | |
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160 | <outputs> | |
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161 | <output> | |
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162 | <output_type>display_data</output_type> | |
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163 | <text>β00β©</text> | |
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164 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUI4QUFBQVRDQVlBQUFCb2JOWkNBQUFBQkhOQ1NWUUlD | |
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165 | QWdJZkFoa2lBQUFBV2RKUkVGVQpTSW50MWJ0TEhVRVV4L0VQRWpVK0lDYmlvekJxcTJBYUNXS2Ex | |
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166 | SXFWcGRYOUEyeHNKTFdGaFdoaG16cWxwUXFDVFN6c0Rla1VDVUx3ClVSZ0NYdk1Rcmhhek40eDcx | |
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167 | ODF1bWtESUQ0WXplODUzK0EwN1ozYjV4L1htb2NLamFENkg5L2lNTHF5aGlrczh4bHNjcDlZWDRh | |
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168 | cm8KeFVYZURpc1lUdWE3V0VuVlBxSTl0YVlJMTQyRlBPUFlmQUszR0lscWJmaUc1U2hYbElNbE5C | |
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169 | VXgzOEJKUm4wSEg2TG5vaHk4d25RYQp6TnJOT0E0ejhrY1lFMTVqR1E3Mmt3MzgxcndQVnhuNWFo | |
|
|
170 | TDdTM0oxbldBb3oveUpjRzVWamFybnVrcHdzVFl4azJkK2cxb3kwbXBPCllxMEVGMnNHVzNubTF4 | |
|
|
171 | cnZjbDBkU1R3dHdjVWF4cWM4YzBLblBzM0lkeWJ4ckNRSGswTFQzZE5ENXM4ejhpK0ZUdjVla29N | |
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|
172 | cGJCY3gKUDhBb0JxTmNEMTVnOVErNFovZ2l1ejkrcVNLY1N3djJzQjdWRm9WdmZtdVVLOHJOQzll | |
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|
173 | eVFmR1A1Um8va3pFcmZDTGY0U3NHOEJvLwpJcjRvMTRuekxQUC8raXU2QTRCcVkvK1pLa0FTQUFB | |
|
|
174 | QUFFbEZUa1N1UW1DQwo= | |
|
|
175 | </png> | |
|
|
176 | <latex>$${\left|00\right\rangle }$$</latex> | |
|
|
177 | </output> | |
|
|
178 | <output> | |
|
|
179 | <output_type>display_data</output_type> | |
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180 |
|
|
|
|
181 | Ξ± | |
|
|
182 | βββββββ | |
|
|
183 | 2 2 | |
|
|
184 | Ξ± + Ξ²</text> | |
|
|
185 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUQwQUFBQXRDQVlBQUFBZHRHTnlBQUFBQkhOQ1NWUUlD | |
|
|
186 | QWdJZkFoa2lBQUFBbDFKUkVGVQphSUh0Mmp0b0ZFRWN4L0dQU1JBakJud2hDR3JRUUVRUkh5QWlH | |
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|
187 | TkJHRUxGSTZTTUlpaStpVGFJV2dzaUpZR09UUXRCR0VNRXlWVnA3CkJVRlJSREVnU01vZ0VoUWx2 | |
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|
188 | cUxGYk9KcVl1Njh2ZDBwc2w5WWJtWnZtTjkvYm5iL08vUGJZdzR5TDZMMmVUUmhBYTVGaktNd2Rt | |
|
|
189 | TkgKVXI2RG5VV0tOeFVwbG1JdHVwUHlHM1JHaXFOUVdyQTRLUThxZU5DeFp2bzd4ckFWcnpFY0tZ | |
|
|
190 | N0NhY1ZWOFg3NEtKd1dCdDZFQTVGagp5WTNtVkhrL1B1SWQzcU9yeUVDS2VFNzNKNThUUXRidUUy | |
|
|
191 | WjRHVVlLMEo5R2MvVW1tUmpBT0c3Z0VVNmlEZXVFQlBZNVovMFphY214CjcwNGNSSHZxM0hQc3do | |
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|
192 | UGgwbzVDbnBsekx4N2pTK3JjSjJIMWRUOUgzYXJrT2VnUmZFM1ZGMklqWGdoSmJINk8yck9TNXow | |
|
|
193 | OWpBNXMKeHZya3VJVjlXSUpuK0pHamZrbkpYR1J5Y2ZJemFoUWxKU1dOSXV1R0k1YTVGODFVakdY | |
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|
194 | dVpkYk5zZ3lOWmU1Rk5SVmptWHVaZGJQTQpkQ3h6TDdxcFdLUzUxNDZWRVhTblVhKzUxL29mYmJm | |
|
|
195 | Z2hKREErbkFtZzI1bXNwaDdWMnBzMXlGc1JTZlpnOUVNdW5YUnFQMTNwY1oyCng1UFBWY0orZkFq | |
|
|
196 | YnNvclg2cEhGY0RUWDRLVXd5TVBvd1FNOHpVbnZEd1p3S1ZVZkZPNnhRMWhlWjUrVkd0cDArNzNx | |
|
|
197 | T29wZVlUZTQKdWs3Tkthck5kS01jelg2c1NOVzdoTUdrdVkyM3FmcEVjb3pqWG5MdU9yN1ZxRmsz | |
|
|
198 | WjRYN0tNMEZ2TUxTRFAxV2FtaHo2cS82ZGp6TQpvRGxGdGVkY0xFZHprNUNwSnhObkd5N2pXQ002 | |
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|
199 | cjNaNUR5VUI5T0tEY0xsZHhFMGhzOTV0UkJBenNBSG5oSVE1aGtYQ3pJL21wRmNJClI2cDgzNU9u | |
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|
200 | ZUt4M3c3Tzk0V2dXOXc5QVVlZ1FMdStTa3BLU2tuL3hDNWZQYi9CTXJrVkZBQUFBQUVsRlRrU3VR | |
|
|
201 | bUNDCg== | |
|
|
202 | </png> | |
|
|
203 | <latex>$$\frac{\alpha^{2}}{\alpha^{2} + \beta^{2}}$$</latex> | |
|
|
204 | </output> | |
|
|
205 |
|
|
|
|
206 | <output_type>display_data</output_type> | |
|
|
207 | <text>β11β©</text> | |
|
|
208 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUI4QUFBQVRDQVlBQUFCb2JOWkNBQUFBQkhOQ1NWUUlD | |
|
|
209 | QWdJZkFoa2lBQUFBT1pKUkVGVQpTSW50MVRGT0FrRVV4dkZmaUxFa0NJa0ZGa0RDSlRUaEFCcHFD | |
|
|
210 | aXF1WUFXRnR6SGhCR0JqYTB3czdLeXNqRDJ4a1JZb2RvMncyZDNaClJpY3hmczI4dlBsZS9tOG1r | |
|
|
211 | emY4Y2MyS05tcDc4UmhubWYwNm50QUxBTXA4YTV5R09weWdtOGJIR09BQlcvUUxhcXI0V3JqT0t6 | |
|
|
212 | N0sKeVRWd2kxZXNTcHF0Nmx2aFJITExteUxUeFBmSnYzU2ovT1JWZlJlNHlpWnJPY2FmMEdQYVFC | |
|
|
213 | UTR2S01UQzc3QU1CWjhpR1VzZUJkdgpNZURua2tkM29OK0NYK0l1QnJ5SkR6a0RKZ1J2cG10b05w | |
|
|
214 | ZjV4cGdINm8zUVR1Tjd2RWltMWhhZmVNWTBVMVBGVi9pci9TdUtkcWlvCkswNXl6bzdrQUFBQUFF | |
|
|
215 | bEZUa1N1UW1DQwo= | |
|
|
216 | </png> | |
|
|
217 | <latex>$${\left|11\right\rangle }$$</latex> | |
|
|
218 |
|
|
|
|
219 | <output> | |
|
|
220 | <output_type>display_data</output_type> | |
|
|
221 | <text>2 | |
|
|
222 | Ξ² | |
|
|
223 | βββββββ | |
|
|
224 | 2 2 | |
|
|
225 | Ξ± + Ξ²</text> | |
|
|
226 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUQwQUFBQXdDQVlBQUFDaS9ISTNBQUFBQkhOQ1NWUUlD | |
|
|
227 | QWdJZkFoa2lBQUFBbmhKUkVGVQphSUh0MlUySWpWRWN4L0hQdkJTRENYZVkxQlJwUkFsWkVRMU5a | |
|
|
228 | bVpoZzBqWlNJbXNsR1JoeXN0a0o3c3BaU1VyeW9vc0xjWktGaExHClpoWlRTbG1SdDd3c0dCYm5t | |
|
|
229 | VnczTS9mT2ZlYWVJL044Tjg4NTV6blA4L3VmenY4NTU5emZaUTdTbEZEN0ZGclJqb3NKNDRqR1Z1 | |
|
|
230 | ek0KeWxmUkcxTzhPYVpZR2F1eEx5dVBZMjJpT0tMU2dxVlorU1kyeGhSUE5kTS84QTdyOFJxak1j | |
|
|
231 | VmJZNHFoRy8zNGh2bm93dG5JTVVSbApPd2JLNnAvOVR1czlNUU9KbGQ0bExNZjlySDRBRXhqQlcz | |
|
|
232 | eUpGRWRVRGdxZjBpR2N4eE5zU2hWTXJKbHV3bmVzRXJhcmxkZ2RTVHNKCjdkaFYwVGFJV3dsaVFa | |
|
|
233 | eVo3c0hEaXJZT0ljWC9XNjVnVFZtOWhNZENCaVFoeGo3OURJZnhWRml4QjRTRjdWTUU3U1Iwb2k4 | |
|
|
234 | cmQyRkYKd2xpaXNSOExVd2RSU2FNWHNwSnc4cHBUZEtRT29HQXVNK21SL1V3YVJVRkJ3V3lSMS9k | |
|
|
235 | TzVWMG44OHhUZWRlNWRmT2N5Rko1MTBrOQo4MVRlZFc3ZFBET2R5cnRPNnBuRFBGelMrTi9sM1Rp | |
|
|
236 | Qkk5azFsdTVmT1k1RldYa20zdlZNTXF6U0w3K0xrM1hxNXFaUGNEL2VDTjUxCi93eWVQVmRqdnhM | |
|
|
237 | Mmx0V1hDT244czA3ZEdkT0V4YlAwcnFFYSt6WEVMNi9sbTJqR0JYd1FabmFIa05adFdDWnNHNDFp | |
|
|
238 | S3IvOGVaNlgKMWpMb0c0SjdPWnpWQjRSQmY4UzlQT0pWYUJkU0dDNW4xMEZzenZ2aWFvUGVJQmox | |
|
|
239 | Ujh2YVJyRU5qL0MrUnAzVGdrazRTWS93cjJVNQoxL0N5b3M5SVJaOG9mdmxKM0tsb080TVhmcStl | |
|
|
240 | OVRCVVE1K0crZVhWWm5yTW42dGpTVGdVakFtSGhEWjh6UnZFRkRUTUwyK3BjbjljCjJDYTJZSjNn | |
|
|
241 | WFE4TGk5bGtxazNVb2R1TEI5UGM3OFFDWEJjRytRcTMxZjQ1L1pNY3IzTC9uL1RMRzgyeDFBR2tv | |
|
|
242 | UERMQ3dvS0NxYmoKRndudWJ2aG5lQTVsQUFBQUFFbEZUa1N1UW1DQwo= | |
|
|
243 | </png> | |
|
|
244 | <latex>$$\frac{\beta^{2}}{\alpha^{2} + \beta^{2}}$$</latex> | |
|
|
245 | </output> | |
|
|
246 | </outputs> | |
|
|
247 | </codecell> | |
|
|
248 | <markdowncell> | |
|
|
249 | <source>Qubits can be represented in the computational basis.</source> | |
|
|
250 | </markdowncell> | |
|
|
251 | <codecell> | |
|
|
252 | <input>represent(psi) | |
|
|
253 | </input> | |
|
|
254 | <language>python</language> | |
|
|
255 | <prompt_number>8</prompt_number> | |
|
|
256 | <collapsed>0</collapsed> | |
|
|
257 | <outputs> | |
|
|
258 | <output> | |
|
|
259 | <output_type>pyout</output_type> | |
|
|
260 | <text>β‘Ξ±β€ | |
|
|
261 | β’ β₯ | |
|
|
262 | β’0β₯ | |
|
|
263 | β’ β₯ | |
|
|
264 | β’0β₯ | |
|
|
265 | β’ β₯ | |
|
|
266 | β£Ξ²β¦</text> | |
|
|
267 | <latex>$$\left(\begin{smallmatrix}\alpha\\0\\0\\\beta\end{smallmatrix}\right)$$</latex> | |
|
|
268 | <prompt_number>8</prompt_number> | |
|
|
269 | </output> | |
|
|
270 | </outputs> | |
|
|
271 | </codecell> | |
|
|
272 | <markdowncell> | |
|
|
273 | <source><h2>Gates</h2></source> | |
|
|
274 | </markdowncell> | |
|
|
275 | <markdowncell> | |
|
|
276 | <source>Gate objects are the operators which act on a quantum state.</source> | |
|
|
277 | </markdowncell> | |
|
|
278 | <codecell> | |
|
|
279 | <input>g = X(0); g | |
|
|
280 | </input> | |
|
|
281 | <language>python</language> | |
|
|
282 | <prompt_number>9</prompt_number> | |
|
|
283 | <collapsed>0</collapsed> | |
|
|
284 | <outputs> | |
|
|
285 | <output> | |
|
|
286 | <output_type>pyout</output_type> | |
|
|
287 |
|
|
|
|
288 | 0</text> | |
|
|
289 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUJrQUFBQVlDQVlBQUFBUHRWYkdBQUFBQkhOQ1NWUUlD | |
|
|
290 | QWdJZkFoa2lBQUFBWHhKUkVGVQpTSW5sMVQ5SVZtRVVCdkRmOXlsOGlKTkRFWWhHU0tCZ0lEUUlp | |
|
|
291 | WU1PUWRHb200bURJQmh0SVJTME8rVFNvQTJGRUxpSU5MVFcwSkNECkVkcWZSVUdRUWhJU1dpTEJS | |
|
|
292 | UjN1KytITDdjTFYydzBISDdod3puUE8renp2djNzdlo0Z0ZiT013UE5zWWllcXpVVzBQNzFBcFl0 | |
|
|
293 | U0kKelNEVWthcFZzSVZIYUNnaUhtTXFtRHhPOFRPNC9hL2lkVnpBUHI2aEdyaUhHRDJOU041Uzk5 | |
|
|
294 | Q05QbnhFUDJxWU80M0pTVEFnMmJJTgpQQ2xiUE1aNk1McGNaSEExdjBVbkRrSThYc1FrRDYxWVFw | |
|
|
295 | dmtmSDVJcm5acGFNRXJ5UTJEZWNtV0RaVmwwSVJGWEltNDNtRHlOcU8vCmdqSGN4elR1NUJrMDRp | |
|
|
296 | VjZNbXBya3ZPNW11S0g4VHpFVlh6Qk5SRVJvd1B2OFJXZk1rd1d3cXduVS93VVhvZjRRTExhdStu | |
|
|
297 | QnR4eC8KcHc2eGl4dXBuaGY0RS9WOHhrU28vY2IxcVBjQjNtUk1zakJxd2JRcjR1N2hRejA1eVh1 | |
|
|
298 | U2gzM3NCS002bXZHclRCTll4Y1VvdjRUdgpaWnVzWURES2IrSlpQU24wTjh0QVV4QmRSanQrNG1s | |
|
|
299 | SjJuK2g5citFenhHT0FHdERTUzdLeG84WkFBQUFBRWxGVGtTdVFtQ0MK | |
|
|
300 | </png> | |
|
|
301 | <latex>$$X_{0}$$</latex> | |
|
|
302 | <prompt_number>9</prompt_number> | |
|
|
303 |
|
|
|
|
304 | </outputs> | |
|
|
305 | </codecell> | |
|
|
306 | <codecell> | |
|
|
307 | <input>represent(g, nqubits=2) | |
|
|
308 | </input> | |
|
|
309 | <language>python</language> | |
|
|
310 | <prompt_number>10</prompt_number> | |
|
|
311 | <collapsed>0</collapsed> | |
|
|
312 | <outputs> | |
|
|
313 | <output> | |
|
|
314 | <output_type>pyout</output_type> | |
|
|
315 | <text>β‘0 1 0 0β€ | |
|
|
316 | β’ β₯ | |
|
|
317 | β’1 0 0 0β₯ | |
|
|
318 | β’ β₯ | |
|
|
319 | β’0 0 0 1β₯ | |
|
|
320 | β’ β₯ | |
|
|
321 | β£0 0 1 0β¦</text> | |
|
|
322 | <latex>$$\left(\begin{smallmatrix}0 & 1 & 0 & 0\\1 & 0 & 0 & 0\\0 & 0 & 0 & 1\\0 & 0 & 1 & 0\end{smallmatrix}\right)$$</latex> | |
|
|
323 | <prompt_number>10</prompt_number> | |
|
|
324 | </output> | |
|
|
325 | </outputs> | |
|
|
326 | </codecell> | |
|
|
327 | <codecell> | |
|
|
328 | <input>c = H(0)*Qubit('00'); c | |
|
|
329 | </input> | |
|
|
330 | <language>python</language> | |
|
|
331 | <prompt_number>11</prompt_number> | |
|
|
332 | <collapsed>0</collapsed> | |
|
|
333 | <outputs> | |
|
|
334 | <output> | |
|
|
335 | <output_type>pyout</output_type> | |
|
|
336 | <text>H β β00β© | |
|
|
337 | 0</text> | |
|
|
338 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQURZQUFBQVpDQVlBQUFCNnY5MCtBQUFBQkhOQ1NWUUlD | |
|
|
339 | QWdJZkFoa2lBQUFBcmxKUkVGVQpXSVh0MWp1SWxVY1VCL0RmK21EQkY3NlNySVdLa0NEWUNFWkJX | |
|
|
340 | S05SUVJ2RlVrUWJRU1NZV0Zpb1NFQXVpSVdOeEVyUVJnc3huU2xzClJERW1KZ1N4OFlHb0dCVU0w | |
|
|
341 | UlhCRjFwbzFFMHhNKzUzdjcxejkzN1hsYlhZZjNPK2M4NS92amxuNXB5WllSaWZMRFpqVXF2a0U3 | |
|
|
342 | aUIKWHZ5SFN6Z2NmVFB4Sy82Ti91ZTRpTytiL0c5SEE5c21ITWRlN01PYXpOaUJlRjBEek4wUEM0 | |
|
|
343 | WEFEMlQ4dTZKL2JRdi9xcFgwRGJpTgo4VkgvREQxWTFpWnZUd3N4dk1kMklmQ1ZHZjhwdk5WYUdk | |
|
|
344 | UUszeDI0SnF4K0VVZUZLdWlveUNNa1drNDJpNU40amJFTmZLUHhRaWpSClZsQXJmSzhTRnF3Y3lM | |
|
|
345 | cG9uMWVSbDFDM2F5TXlnWXhBdDlBN0x4djRGd2dKLzU0WjN3eGZSM21yWlA4N3ltOHI4aEllQ3Yy | |
|
|
346 | R2ZHSnoKTVJIbk12NmxVZjZXOFRkRG12eEZ5WjRXY0ZwRlhzSXhyRS9LcU16a2k2TmNvVy9saXBn | |
|
|
347 | ZlpUczdsZ0l1VjBMU0oxYmtKVHpCbEtUawpFbHNpSEF4TDlWK3hVWGlHNjNpVUdkOE1yNko4VjdL | |
|
|
348 | UEx0bGI1U1ZNRXBKRDQxTHN3RGU0ckg5U2hLWWRvNzNkZ3FzWmV6cWtIbFRrCkphd1h5aEdORTV1 | |
|
|
349 | RHFUaWYrZkdpS052cEw3Z1NaZm1hR0JkbFQwVmV3alRjVDBxalVrejk5VWNtc080b2l6czJFaHZS | |
|
|
350 | aVJrNGc5T1oKOFNuZzZlcExlVUdVVnl2eUNGZkMyY3g4Ny9HemNFOTBaZnc5K283Y2hJMzRLWDZQ | |
|
|
351 | eEUxOFZmRFhTdnluK0xGa080bS8ydVR0VVg5aAo5ME9uRVBqdGpIK3VrUFNSa3YyNitvdjBFSFlY | |
|
|
352 | OUZxSi94Myt3WVNvenhMNmVWVWJ2Qy93UXlaZU00WFN1cXZ2NGZzbnRrVC9hbUdWCkhrWC9ZNkhI | |
|
|
353 | dW9VK2ZZUFpwVVJPRlBSdERlYmNpbCt3WDlpRkRabllCdUp0eHVSY1loK0NLVUt5MHd1Mm5WcW8r | |
|
|
354 | WStKM011akNoNEwKOTFwdndUWTIyb2NNZzVGWXIvQVkvcnhnNjhLOVFmaDMyeGlNeE9DQytzTmp1 | |
|
|
355 | WENBREJtYUhwRVZNQjRIaFVmemw3aGppQk1iYkhRTwpkUURER01Zbmh2OEJia1dqWUtHOFZNRUFB | |
|
|
356 | QUFBU1VWT1JLNUNZSUk9Cg== | |
|
|
357 | </png> | |
|
|
358 | <latex>$$H_{0} {\left|00\right\rangle }$$</latex> | |
|
|
359 | <prompt_number>11</prompt_number> | |
|
|
360 | </output> | |
|
|
361 | </outputs> | |
|
|
362 | </codecell> | |
|
|
363 | <codecell> | |
|
|
364 | <input>qapply(c) | |
|
|
365 | </input> | |
|
|
366 |
|
|
|
|
367 | <prompt_number>12</prompt_number> | |
|
|
368 | <collapsed>0</collapsed> | |
|
|
369 | <outputs> | |
|
|
370 | <output> | |
|
|
371 | <output_type>pyout</output_type> | |
|
|
372 |
|
|
|
|
373 | β²β± 2 β β00β© β²β± 2 β β01β© | |
|
|
374 | ββββββββββ + ββββββββββ | |
|
|
375 | 2 2</text> | |
|
|
376 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUx3QUFBQWtDQVlBQUFBemZGQ0ZBQUFBQkhOQ1NWUUlD | |
|
|
377 | QWdJZkFoa2lBQUFCWDlKUkVGVQplSnp0MjF1b0pNVWR4L0hQV1UvMGVJbTNSRDBtRy9YQjFSWGNY | |
|
|
378 | WUlTZGIyZEpCSlF2SUt5VVJURDVuaUxNWWlDOThzcUp1cERvaUV2CmtTUkVVQWdSSlVGRlRVUXdJ | |
|
|
379 | WUdJaTZCa1JmQWhMUEdLUmxSV0lsRTVlZmpQc0QxOWVxYW5aNlo3NWh6ckM4MHcxZit1cXE1ZmRW | |
|
|
380 | WDkKLzlWTklwRklKSlluVStPdVFBa0xJOGhqMHU5eHFmSlZ2RGFDZkNaV253TXgwM0NaRDJQdmhz | |
|
|
381 | dGNpaVJ0K21SRkh6WXJjUjQyWTdiZQo2blR3ZFd6RmV3Mld1ZFJJMnRUQXlWZ25saGNITlZqdWcy | |
|
|
382 | TGFUSFFuYVZPUjZUNXNucXk5Rm9zNUJCL2g5VEdVdlpSSTJ0UklrNlBJCnI3Q3FvYktXQTBtYlB1 | |
|
|
383 | bG5EZDgwWHhNTzJLdmpya2dKRjQ2N0FtTmdxV2hERjMzNldkSTB6ZFg0YVkvemF6RXZITGJuOFNp | |
|
|
384 | MkZOaXQKYS8yK21FdS9BTjhRRHRlYmVBVHZGRnhmWnZjRkVSM1oycU91eTQweWJXaE9uemJINFFU | |
|
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385 | OEpKYyt0RDVOVEp2N2lIQlhOMDdISDNHRQppRXJjaWYvaWpBTGJ1ZGFSNVdiOERUdTIvbjlQTlBq | |
|
|
386 | T0E5anRobXQ3MUxWSkprRWJtdE9IaU4rZmhBL3g2NEx6USttem8yalVRd2ZOCm9FL3V3UEZkenUy | |
|
|
387 | S2YyS3ZYUHBUK0ZROHpWbm1kRGJvSHZnQUd6SnBLL0F1N2huQURtNFJJMGxWZGpHNnVQa2thRU56 | |
|
|
388 | K3NDVmVGWkUKaXhZVWQzZ0cxT2RDM0NlZTNOKzJDcXVEM2ZGWWovTW5pSjI5RGJuMFM4Vk56K2ZT | |
|
|
389 | NTNRMjZIV2k0Zk9iSmIvVEdYSG8xdzdXRk5TbgpIemJpM0FHdXl6TXAydENjUGxtbTllN3dnK296 | |
|
|
390 | RXE0UlUxWTNyc1VwUGM1L1U5emNYM1BwcDdiUzc4Mmx6K2xzMEQvalgxM0tYY0JoCkZlM2EvTGhI | |
|
|
391 | bmJzeGovTUh1SzR1aHRXRzV2VEpVdGJoeWVuVFJKUm1HcHVFay9JRHhWUE1qR2l3SjNyazh5eE9z | |
|
|
392 | OWo3UHJqMW0zZCsKOHN4aVcwSDZSNjNmQXl2YXRYbFpzUmhMZ1ZGcFEzUDZWS1ZEbnlZNi9LZmlL | |
|
|
393 | YnNCKytLY0FwdU5Za3J1eFFJZXQzZ1UrQzcrbzN6SwpuYlc5OGJLMDAvYXNhTmZtWVp4ZFV2YWtN | |
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|
394 | aXB0YUU2ZnFuVG8wKzd3Q3pVY1dUNFI0YUhIY0VYdTNEVE9VaDRCS09JTUVjSzZYRGczCnZaZ1dB | |
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|
395 | dWVaeXB5dll0ZG1yWERXNnFJT2JiTDYxS1VOOWVoVGxRNTkyaDErcW9hamlGL2dhQnlaU1RzWEQr | |
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396 | R3ppamV5djNEWWZvamYKOTJGZkZBc21vZ3Z3ZGtXN05xY3BINzJHb1E1dGl2UVpwVGJVcDA5Vk92 | |
|
|
397 | UnBldVBwR2JHbXVrS3M5YWJFUnNPcEZmT1p3Ui9FK3ZPWApmVjd6RW80dFNOK2w5ZnRtUlR0aW10 | |
|
|
398 | Mm1lR1NDUzhRSW1XZWw2RVJGanV1RHJhTnBScVVOOWVwVGhUSjlHdUV5ZkN3Mk1zN0VWUld2Cm54 | |
|
|
399 | SWpSdDQ1T2liM2YwNW5GT0JTc1piTTh3RCtKK0xBVmV3SVI2L1hXNE16WW0yYVA2NFMwM3pSdVox | |
|
|
400 | NjVGYzN3MnBEL2Zwa0tZdlMKbE9uVENMdmhmZHdvUFA5ZGU1c3Y0aTU4UDVlMkVqZmwwdVowTnVo | |
|
|
401 | NnhSczBiK0EzQTlnUm16R0RNR2xoeVRiRGFrUDkrbVFwNi9DTAo5Qm5IeTJQYmNEK3V4M09LUGZO | |
|
|
402 | dVhDeldtVk9pMDh6akl0eUtWMHF1M1l4L2lKRzF6WHJzaDdzSHNEc1JmNmxROTZYQU1OclFqRDVa | |
|
|
403 | CmRtajlGb1ZUQjlabkgvSEUzNG5iRlU4dFZWa2wzb0dvOG9uWVVTS2kwQzNxc0NabmYyTHJ5REly | |
|
|
404 | MXFvUGlGM0psOFE2TlU4L2RyY1oKL0h2TVVZM3drNklOemVyekhlRVF2OURLK3pQeGt0blB4YTR3 | |
|
|
405 | WGZRcEUyeGFlTzgvYXQzTURhMEtyQlBycW1INGlwaXUrbVVXcTN1YwovN3VvWTV2MlUvOUpnZTNP | |
|
|
406 | WXVUWXF2ZUg0cjNzZGhjZFl4RG14VnA1R09kMGtyU2hXWDNhL2s0UlcxcDVEcVRQV3Z6YjlvWC9s | |
|
|
407 | MXNWCitGYlZqQklkYkJUZm9nNUQwcVlHWnNRNzBPM1hNMWVLUmwwL3Rob3REMGJ4dG1UU3BnRTI0 | |
|
|
408 | V21UK2FYVTU1MU5rallqNVdqOHlYYW4KSURFNUpHMUd6R3I4VEh4c3NBSmZIRzkxRWhtU05pUG1B | |
|
|
409 | QkVpYWtkMGpzRzN4MWVkUklha1RVWEt3cEpmRXQ4WVpnUDdlK0p3dkZWWApwUko5a2JRWmdMSU92 | |
|
|
410 | NGZGR3dZTElxYWFHQzlKbTBRaWtVZ2tFb2xFSXJIcytUL2lSYi9rVlg4UDZnQUFBQUJKUlU1RXJr | |
|
|
411 | SmdnZz09Cg== | |
|
|
412 | </png> | |
|
|
413 | <latex>$$\frac{1}{2} \sqrt{2} {\left|00\right\rangle } + \frac{1}{2} \sqrt{2} {\left|01\right\rangle }$$</latex> | |
|
|
414 | <prompt_number>12</prompt_number> | |
|
|
415 | </output> | |
|
|
416 | </outputs> | |
|
|
417 | </codecell> | |
|
|
418 | <codecell> | |
|
|
419 | <input>for gate in [H,X,Y,Z,S,T]: | |
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|
420 | for state in [Qubit('0'),Qubit('1')]: | |
|
|
421 | lhs = gate(0)*state | |
|
|
422 | rhs = qapply(lhs) | |
|
|
423 | display(Eq(lhs,rhs))</input> | |
|
|
424 | <language>python</language> | |
|
|
425 | <prompt_number>13</prompt_number> | |
|
|
426 | <collapsed>0</collapsed> | |
|
|
427 | <outputs> | |
|
|
428 | <output> | |
|
|
429 | <output_type>display_data</output_type> | |
|
|
430 | <text>β½β½β½ β½β½β½ | |
|
|
431 | β²β± 2 β β0β© β²β± 2 β β1β© | |
|
|
432 | H β β0β© = βββββββββ + βββββββββ | |
|
|
433 | 0 2 2</text> | |
|
|
434 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU9nQUFBQWtDQVlBQUFDRGczYTNBQUFBQkhOQ1NWUUlD | |
|
|
435 | QWdJZkFoa2lBQUFCdDVKUkVGVQplSnp0blZtTUZFVVl4Myt6RndSWERsZWppQWdvYWhSY0VnZ0NM | |
|
|
436 | aDZBaWc5R1JZa1FIbERqQXlpYWVJSWFoUUV4aGdnYVJYR0pZS0tpCmdDZ1lqWXJHWXptTXhnTUJn | |
|
|
437 | d2tHRVFRRUE0Z1lVWkRMaDYvYTdlbnVtcDd1N2VudW5hbGZNdW51cXE1ai90dFY5ZFZYMWJOZ01C | |
|
|
438 | Z00KQm9QQlVFcjBCSTVIOERFRUkxVzZWMFNWVVlselhzemxOUUEzQTVrSVBxMFpvN3RCU3h0Z0lQ | |
|
|
439 | QTZNQy9tc3BjQUo4ZGNabG93dXRzdwpJNmllTGtCN1lGL001ZllCZGdCN1lpNDNMUmpkRFlHWVRy | |
|
|
440 | dzkrU3RBMXhqTFN5dEdkOHdJbWpaNkFvZUFiVWxYcE14SXJlNXBicUNqCmtQbElPZkVBTURQaE9o | |
|
|
441 | amQ0MGVydWE2QkxnTytCdGFxejdmQWl5cXVHL0NaQ3JQaXZ3SW01S25BV0krd1FjRHp3T1BBZmNE | |
|
|
442 | NWp2aDEKd01nOGVaWWFYWUFUZ0kyYStDcmdMdUFONEFWZ05GRHRrNmZSM1orNGRLOEdYa1htMTA1 | |
|
|
443 | Q2FUNEFXYzlaaEhkRG5xamk3eTRncjZ6agplaWl3RTJuc0FMMkFYYmpkNnRNTHJHc3hpV3N1OUJU | |
|
|
444 | UVZ4TlhBM3dJakVQK3dFT0FuNEhseU1PbEkrdTROcnE3aVVQM091QXRwTDNvCnZNU2VtdWN6Y2Z1 | |
|
|
445 | cDR4TGdtRWY4QUZ0OFVDWURid05iMWZVRzRBdWtNN0N6RHFnUGtYK1UxRkI4azY4T2FUUnJOUEgz | |
|
|
446 | QWl1QXVjQ2YKaUFVekZoaE9NTk1zRHQxUENwbk9TU25vZmpyd0VmQWFjTGJQdllFMVg0UTBUSzhX | |
|
|
447 | bndGMkE1c0t6Q3RyT3grSTlDVFhPZTRacDhMUAp0WVZWQTFNS0xDTnF1Z05QQUc4Q1M0RVpRTzhp | |
|
|
448 | bFRVTnVDeFAvRXBnTVc3emFBL1NvK3ZJMnM3ajB2M2prT2tzdWxOYXVsdk1KUDhJCkdsanpYNEgx | |
|
|
449 | bXJoNlZkaExCZWFWdFowL3JOSjJjOXhqbWRTM084SWZCRTRzc0p3MDBoTlloZDRrcWdYZTg4bmpj | |
|
|
450 | MFNiU3gzaGExVjQKclNaZDFuWWVsKzVOSWRJVWc3VG9idUhYUU1GRGM1MkpldzdRR1JuU3ZSaWlq | |
|
|
451 | aXZ5Rktiak5IWDh5eEYrUUIyZEQ5QkNaR0xlR2hrQwpqQUQ2NCswNEFHa1lqVDc1akZiNXJMS0Za | |
|
|
452 | UkN6YVROdUxiMHd1dWNTbCs1QmNHbGVwYm5SR3ZZSEk2YUdFMnRTdlRKRUphd0g1WUFqCjNMcnU2 | |
|
|
453 | QWpmaXBnOVh2UkR2SkZCMkFLTUQ1Z21MS3VSVHE0M2NDZmlCYlRUQnJnQy8vbk1OdHhyZE5jZ1Bm | |
|
|
454 | aU1BdXNTcGU1cEowMjYKQjhHbHVhNkJXa1A2Q09CM1Ixd0crQVdwZUQ0N1hJZFY1aEdQZkwzcTFC | |
|
|
455 | WlpSUGJpTytDV2dPVWZkRndYNjQyUERIQlluYzlHbHEyRwpBWi9ZN3JrVmVEbEVIYXFBcWNoU1Y2 | |
|
|
456 | RVBTcFM2UjBFeGRMZStTNXAwRDRKTDgzd2o2RWFrSVRycGhmUzJmdmE3amcxSXczZGl6UlYrCmM0 | |
|
|
457 | U1BSTzhwUG9Zc0U3U0VPTjQ4K0FiNEVsbFBzeDZVU3VCRzRPb1ErVTFUNmEraytXSDBJMHJkbzZC | |
|
|
458 | Y2RBK0NTM092QnRvTk9CT1kKcjhsa3NEcUdtWDlDcytPcEZ2akRGdDVPSFhjNjdyOEFXQkN5ckRR | |
|
|
459 | eEcxbW83bzZZMmFPUjZjUFJnUG1NUXR6OHc0QzlBZEpGcVhzbgpGVmZwRVZlUHJCTTZPWVEwRE9j | |
|
|
460 | SVhteVMxajBJTHMyOUdxZzEvMXl0eWFSQkhaM3p6NzdBUllnWGFpbndreWI5OStyWWxkd0h4WEts | |
|
|
461 | CjI5UFZJK3RET3RJK0I3V3pCSmdGM0FGTVFwd1gxd2JNWTVCS1B4VFlyOEw2SXFPam56a2FwZTc3 | |
|
|
462 | a0ttRlZ3TmRpdmUwNHpEeE4wNUkKWHZkQzhkUDhmK1lodHJsdVlYVXpiclB5S21TblJDWGlqRmdQ | |
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|
463 | bkdLTHo5ck9LNEcva2ZVM093dUJIOG4xTEU4aC83YXFET0syRHZMUgp1Y2JqWUNyUys0NEM3ZytZ | |
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|
464 | OWl4a1pISTZjK2FnTnhlenR2TW9kYzlIVThoMHhTUkozUzM4bGxrOE5YZU9vQm5nY3FRQmVvMkFY | |
|
|
465 | WUVlCnVPY21rNEVuRWJOaEY5S3pqQUdlOGNqaktPSlZtNERzMEFEb2dIalZIcUo1MTFJdDR0REpa | |
|
|
466 | K3NmcDNXOXY5ZUlmTWVaaURsVEtKMlEKSFVBTHlOMnpXWTA4UUlVNE82TFV2YldScE80V2xyWGgx | |
|
|
467 | Zkg1YXQ0WmVCWjRYeFc2SDlsUWJUa1ZHcEEvN2hvVnZ4RnBmSDFVL0VGeQp2L2hqeU9aaWk4a2Vs | |
|
|
468 | WjJQYklPYWdQUzZzOGp0TUc3RHZUWVhOeU9CUjVEdk9qeWlQQmNpem9ZZ2ZJRCt0MjhXNTBtWGhP | |
|
|
469 | NU5MVWhyClVTcTYxd0JQcTdJUHFYUS9JRmJxOWJiN3RacGJRM1FOM2ozTEx2WHBwTWxnazBxN1Y4 | |
|
|
470 | VmJYdDlKaU5rN1RGMjNROHdySnhYSTVIMDcKOEs4anJqMnkvekVweGlCTFRNdUJVNUhPYVNLeXI3 | |
|
|
471 | SWwxQ0VMM0VIbUxvUFE3MHZkam43TFpSSzZOeUZXV0ZoS1NmY0s5UHRyZHlPLwo0QUJGZnRhcmdI | |
|
|
472 | K0FNMnhoVTRCM2lsVmdUQ3dqZHdScUJENU5xQzZ0aVpidXhUVzYyOUN0Z3diaENPSWg3SWowS2lC | |
|
|
473 | dk5PelFwbWdkClBFZXVLNzR0N2swT0JqYzN0VEM5MGIwSU5KTHJXbDlQeTh5Y3RGR0htUEdYSkYy | |
|
|
474 | Uk1zUG9IaEU5a0wyUC9aSDV3cHhrcXhNcEZZalgKK29ha0sxSm1HTjBqcGdiWnFCRFZDN3RwWVJw | |
|
|
475 | d3NUcnZrR1JGeWd5anU4R1g4ZVQrSE1palNWV2t6REM2SzZKd0VwVXE5eUF2T1Z0Ygp1ekxBdThs | |
|
|
476 | VnAyd3d1dHN3LzBOQ3o0VzRUYXN0Tkh1cURjWEI2RzR3R0F3R2c4RmdNQmdNQmtNQy9BZU1RQWFp | |
|
|
477 | cVVraThRQUFBQUJKClJVNUVya0pnZ2c9PQo= | |
|
|
478 | </png> | |
|
|
479 | <latex>$$H_{0} {\left|0\right\rangle } = \frac{1}{2} \sqrt{2} {\left|0\right\rangle } + \frac{1}{2} \sqrt{2} {\left|1\right\rangle }$$</latex> | |
|
|
480 | </output> | |
|
|
481 | <output> | |
|
|
482 | <output_type>display_data</output_type> | |
|
|
483 | <text>β½β½β½ β½β½β½ | |
|
|
484 | β²β± 2 β β0β© β²β± 2 β β1β© | |
|
|
485 | H β β1β© = βββββββββ - βββββββββ | |
|
|
486 | 0 2 2</text> | |
|
|
487 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU9NQUFBQWtDQVlBQUFCN1k0MUFBQUFBQkhOQ1NWUUlD | |
|
|
488 | QWdJZkFoa2lBQUFCc0ZKUkVGVQplSnp0bldtTUZFVVV4MzhEeTRLQ0lPQUJ3WFZCTVNZclFnSkJS | |
|
|
489 | UEFBVlB4Z1NNQk5sdkFCcncvaUZjVUxOUW9EWWdqeENvS3dSc1NiClF4Q01Sc1hFSXh3YW80S0F3 | |
|
|
490 | VWlpaUM0b1JsQXhvaEtROWNPcmRudHF1bnE2ZDN1NmU1cjZKWk9lcWVxdXF2MTNWZldyVjI5bXdX | |
|
|
491 | S3gKV0N3V2k2VVM2QTgwUi9DeW1FbVZ4dTJpS2lqam5CMXpmU09BcTRGY0JLOUt3V3BzTWRJUk9C | |
|
|
492 | OVlDaXlPdWU2VndFa3gxNWtFVm1NWAo5c2xvcGcvUUZmZ3Q1bm9IQVh1QWZUSFhtd1JXWTBzb1po | |
|
|
493 | UHZyUDBpVUJOamZXbkFhb3g5TXFhTi9zQWhvQ25waG1TWTFHcWM1c0hZCmdLd3BqaVh1Qmg1TnVB | |
|
|
494 | MVoxejIxR3BzRzR4cmdNMkNMZW0wQ25sRjV0Y0NIS3MzSi94UzQyYWZ5eVQ1NTQ0QXBIdWxiZ1hx | |
|
|
495 | ZjY3SkcKSDZBenNNT1FYd1hjQ3J3S0xBSW1BaDFLbE9tbGV3MHdENWdMM0E5Y3FPVm5XZmU0Tkhh | |
|
|
496 | SXJHOFBRL1pRbHVNOWFPOVIrYmNIS0N2dgprZFlldUFveEdXWWJyak9seDBsYzY1bkhnY0dHdkdy | |
|
|
497 | Z1hlQUd4T0V4Q3ZnT1dJdDBMaE41N2ZPcGlOUGlVdlc1Ry9BMWNoL2N4SzE3CmxqU0dWdlp0UHpO | |
|
|
498 | MWlEcXVCSTU2NUE5ejVZZGxKdkErTXZOVSs1eTNGUmpZaXZLanBKcnltMjA5RVl0anN5SC9EbUFk | |
|
|
499 | OERUd0IyS1oKVEFiR0VzN2ttb3FzbGQ1VG53OEF6d0ZMZ0ZOYzU4V3RlNVkwTGt2ZlhvNE1RcSs5 | |
|
|
500 | bUJ6d0MvQk53TEx5aHZUVGtLZXJhZmJvQU13SQpXRWZVOUFYbUFLdUExWWhaTjZCTWRjMENMdmJK | |
|
|
501 | WHcrc1FHWnNOL3VRMmR0RTN2VytHekw0NW1qbkRFTHVnZHZjaWt2M3ZtUkxZemVSCjl1MGZnVzJH | |
|
|
502 | dklHcW9pVUJ5OG9iMGtzMUdPQmU0SVNBOWFTUi9zQUd6S1pPRitDdEVtVjhoT2gwa1phK1JhVjNN | |
|
|
503 | VnlYZDcwZnJjNXQKME03SklaUHVDMXA2SmVtZUZvM2RoTzdiSmpQMUxLQTM4cWoyWXBRNnJ2T3BL | |
|
|
504 | Q3FXSVkvOFNtUVVNQjRZaW5taGZ5UFFXS0tjaWFxYwpEYTYwSEhBbXNCUDRNMEJiZXFtamZtNHo4 | |
|
|
505 | QmRpd3JtcEZOM1RwSEZZQ2pTdU1wemtQTTVISWlhRWpyTUlYaDlkdTR4OGo1Z3pYZ3dCCkhnNVoz | |
|
|
506 | aTY4UFZ6bFlDTXlvUTBBYmtFOGRHNDZJczZVVW11U0pvcjN4YTVFWnV1NUFkdmlETWFESG5rSGdS | |
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|
507 | TzFORC9kMDBTYU5BNUwKZ2NhbXdlZzhxc2NEdjJwNU9lQUhwT0YrdG5SVWRFSzhVbDU4QVZ3VHNy | |
|
|
508 | eC90TS9sK21aRERqaXMzczlIdG9yR0lJdDdoMnNSOHpCcwpHNm9RUjhFbWduY1U1MTRmTWJSVjd3 | |
|
|
509 | dCt1b2VsSEJvN0FkcHAwamdzQlJyN1BSbDNJSU5PNXh4a0ZpMWxnMGRGUFdhUDdWRmdieHZMCmp5 | |
|
|
510 | UHEvblBnRTJRUHkra29qdnY3aWxhVU4wdGRmeGt0bmJFVTIzM3lPZ00vYTJsK3VvZmxXTkU0TEFV | |
|
|
511 | YWV3M0dXdUIwNEZsREFTUFYKTVk3MUlrQWQ4SEpNZFpXVCtjQkxpRm15QzFrcnJBTCtEVmxPQStK | |
|
|
512 | dUh3UHNEM0dkNDR6VEhSRTU0RGpnSnkzZHJYdEhaSDNqNTZwMwpjeGo1KzZKNnNnWWxhWTNEVXRD | |
|
|
513 | M3ZRYWpzMTdjYUNoZ2hEcnE2OFhCd0htSWQyZzE4RzNyMi9nL0E1SDlHQk5wWHpPNldRazhCdHdF | |
|
|
514 | ClRFT2NEZU5DbGpGY1hUOGEyYVlBMFgwN3BUdCtFL0E3eFFIU2RjaUFkTjh2WGZkRHdIV1lMU21k | |
|
|
515 | SXdIYVV3NlMxamdNcGZvMklKRVEKellnWHlZdWRGSnVHbHdPdklZLzFYc2dzZkxJclAyOG9xNVQ3 | |
|
|
516 | ZHdiKzRVZzVaQjgwek12a29vNkRtY2hNMndEY0ZmTGFNNUJvRU4zUgpzaEN6R1pqWFBxOUhOdm5k | |
|
|
517 | M0laMHNqNnV0Rks2cDVta05YWUkzYmYxbVM0SFhJSU1OcThuV3czUWorSzF4SFRnRWNRYzJJdk1J | |
|
|
518 | cE9RCkdFZy8ycXVqMTQzdmdqaGIvT3oxWmlyck8ybU53SDJJWjY4dXhIWGRnZGNSazhZZDA5Z0I2 | |
|
|
519 | VUJCblJNTGdPZVJUcm9mdWQ4VEVOTnUKanpvbmlPNXBKbW1OSFZyZHQzc0RUd0p2cTBvUEFFOGgz | |
|
|
520 | bFFRMDNRUkVrclVqRGgzNWlIUkc2aUMzWC80UTBpd3JjTjByYjU2SlBEOApLMVhlSVNUaTV3bGE5 | |
|
|
521 | ajZ2cDNqdksyN3FnUWVRdjNWc1JHVXVRNXdEWVhnSDgrK3ZyUEM1VHRjZDRFN2dZeVQ4YXlud0Jv | |
|
|
522 | VlJWbkhyCm5qV05XOTIzblVkdk5kNnp5RjcxNnU1MU1SSU9WNDNNc3JXMGVGK25JYWJyR1BYNWVH | |
|
|
523 | UmoyYUVHaVJYMFlvczZka1ZpQkpOaUVyS3QKc3hZSnNONk1CTWUvMHNaeWV5SWJ5R0hXSDhNeHgy | |
|
|
524 | N3V4aHlXcU92dXBoYTViL3BtZHB5NloxSGpSUHQyRmZBM1lpTTd6RUJtM0VwbQpEWVd6WGlQd1FV | |
|
|
525 | SnR5U3BXWXhkQnZXTitIQUcrUkJhOXUxVmFEMXJXSUpYS0FncGQ0cDBvRGhpd3RBMnJjUmxvcERB | |
|
|
526 | U1podmlDTW9LClBSR1RUdjhpcmlVNnJNWVIwUStKRHh5SzJQd0xrMjFPcExSRHZNY1RrbTVJaHJF | |
|
|
527 | YVIwdzFzdW5mSSttR1JNd3M0QUwxdmx1U0Rja3cKVm1OTFNhWlErRXZYRHliVmtBeGpOVlpFNGNE | |
|
|
528 | SktsT1JIMnh5UXFKeXdKdkpOU2VUV0kxZDJQOFRZT1pjaWsybVhiUjRqQzF0eDJwcwpzVmdzRm92 | |
|
|
529 | RllyRllMQlpMQVA0RE5NcmxDQ0JJTDB3QUFBQUFTVVZPUks1Q1lJST0K | |
|
|
530 | </png> | |
|
|
531 | <latex>$$H_{0} {\left|1\right\rangle } = \frac{1}{2} \sqrt{2} {\left|0\right\rangle } - \frac{1}{2} \sqrt{2} {\left|1\right\rangle }$$</latex> | |
|
|
532 | </output> | |
|
|
533 | <output> | |
|
|
534 | <output_type>display_data</output_type> | |
|
|
535 | <text>X β β0β© = β1β© | |
|
|
536 | 0</text> | |
|
|
537 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZRQUFBQVpDQVlBQUFDdnJRbHpBQUFBQkhOQ1NWUUlD | |
|
|
538 | QWdJZkFoa2lBQUFBMEJKUkVGVQphSUh0MkV1SUhFVWN4L0hQSnBGbFNReUtVYklzNmlGS0RCandn | |
|
|
539 | WmZnUVR3b0VSVXhxUGhXVm9rbUo5RUVFcERNUVJSZkNBcWlvZ2pCCkhCUkJEZDRVRkZGUXdlZmlR | |
|
|
540 | UTFrVFFJUlJRK2FSRmJVemFHcTJlNmFucDdwN1ZsM2RlY0xRM1g5cS9wZnYvbFBQZjQxREZnMDNJ | |
|
|
541 | S3gKK1JaUlFTMTllM0FJMC9GektEckllRGJYZGd6dlk2akMzL1lTMjQxNERRL2pVZHlRdEsvRXRs | |
|
|
542 | NEZONlJNWDhZbUlSNHB0ZlV0d3o0aAphR3VTdGlIc3gwNHM3Y0ZYSzZsZmljTTRKU2R1RXRlVXZM | |
|
|
543 | ZXNSNzFOYUpYWXhyQUZmK0wxaXZjSytwWlVEUElYWG9qUE55VnRUMkNyCk1MditycFJhems3c3hT | |
|
|
544 | K3gvaHZld3NzWXp2WGJpNnRtNGI4cGQrTXhyTUEvRmYxcTZ6c1ZVL2pCVFBCMzRMYWFBbHU1NTR1 | |
|
|
545 | RldYOXQKMG1kanRGK2EyQitxT2Rac2FGVzBIZEY1aHBMb3E1cWg4RFBld0JtNEF1UEN6TjNkVldK | |
|
|
546 | bkxvemw5NGw5WHl3dktiR2YxV0M4dWFhZwpyMXRBNGZsWVBvbDFlTHloZ05XeFBKTFlqOFp5TkxH | |
|
|
547 | L3F2M0FXa2dVOVBXeTRiK0hiN0VXei9SQlFCYlFvNGs5cTUrVTJQL0E4ZzYrCjFndXJwU3JEU0Rt | |
|
|
548 | QXEydjA3MFpCWHk4QlBjZk14bndYSG13b1lDcVc2V1ovUWdmN2lDQzZqQW1jMzFCUFV3cjZ1aTM1 | |
|
|
549 | TVdIVHZUeSsKTks1NUdqUFJ3Wjc5eW9jVCsvWENzbHFvRlBSVkJmUmtZWW5maTRQeHBWSHR1V0pk | |
|
|
550 | dnM3NXo3TWlsajhtOXJYNHJ1R1ljMGxCWDZmWgpOaUljUnZjTEp6MDhoenR3ai9ZMFlnaTM0MFJo | |
|
|
551 | Vm4rSXR6djR6Z0o2dXVKSmYxRXM4elA0QW56V3dRK2NLK1N1ZGZmUU5HV2JMZDMwCklRUjVOODRy | |
|
|
552 | YWZ0QzJPUE9UdXpYNGNYNHZFUUkydnBjZXl2cFA2azlXM2dGM3lnR1o1ZjV1eWxsVk9XaGJmclNK | |
|
|
553 | YjlHbUYwVCtMTEUKd1I3aEMyOUo3TnVGV3dNaDRPL2kxZ3FSTzNBblZzWDZxSkRZUHlJazk0VFpm | |
|
|
554 | a3pJZStlTGxjTFZlcFgyVlZDcGI2T1plL3Uwc013MwpKSDFlRWxLYnJNOVgyQnpiZmplVHNNTURl | |
|
|
555 | Q2RYdjY5a3pIRzhpYWVFSDJOejBuNnpzQzM4RzZUNk51RmpJUTdaOTUzRUJ6aHpydlVOCnh3SFg1 | |
|
|
556 | V3hiOGVsY0RMYlE2ZVdtMUkwcElkV1p6dG1XNDljKytQN1AwWStBd3VjNExWZGZMWnltaTQ1K0Jm | |
|
|
557 | UVR4WCtKTGhQU3JFVkgKbmZ5dGloRWhnQjhKLzB6OWhLZjc1SHRSTTl5OXk0QUJBd2I4YnpnT0px | |
|
|
558 | S2orRWxZcEh3QUFBQUFTVVZPUks1Q1lJST0K | |
|
|
559 | </png> | |
|
|
560 | <latex>$$X_{0} {\left|0\right\rangle } = {\left|1\right\rangle }$$</latex> | |
|
|
561 | </output> | |
|
|
562 | <output> | |
|
|
563 | <output_type>display_data</output_type> | |
|
|
564 | <text>X β β1β© = β0β© | |
|
|
565 | 0</text> | |
|
|
566 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZRQUFBQVpDQVlBQUFDdnJRbHpBQUFBQkhOQ1NWUUlD | |
|
|
567 | QWdJZkFoa2lBQUFBMEpKUkVGVQphSUh0MkZ1SVZWVVlCL0RmbUhFWTFDRURRNUdpc0RJaElRdGZl | |
|
|
568 | b29ldWtIUlBlZ09KbWsrUldVb1JlY2hJc2pBTGtSRkVSaENRUmVJCjNncnNvYUNDcnZOa0dwRUpS | |
|
|
569 | VUZCWlRWZ016MThhNXA5bHZ2c3M4L0ZJelhuRDRlMTEvOWI2MXYvK2ViNzFsNXJNOEs4d2MxWWVh | |
|
|
570 | eEYKVktBcmZidHhFRFBwZHpBNW1NVXpCZHNmZUE5akZmNjJWdGcyWVdjSlA0SDc2Z3J1RTJYNkxz | |
|
|
571 | SHJlRFQ5Tm1iMnJ2VXR4SDRSdEZXWgpiUXpmWUR1T3ErR3JXY0tkaG0yWXh0TVY4eGJXOE44dm1s | |
|
|
572 | bC9QWDdGS2FuZndCZTRzMlJlaTc0RkZZc2N4dlBwK2NiTXRnTmI4QWorCnJpRTR4LzNtL29pcXpI | |
|
|
573 | NExsL2ZndjE5c3h4NGNTUDBwdklJbmNGSmhYTmY2bGlWbjM1b0wvamJjMnFYQVpodCtzYWlBZGhr | |
|
|
574 | S0QzZTUKVmk5b0ZwN1BGRlZ6VnpabW5kQ2FKMWVMdnFvTWhaL3dwa2o5eTdCQlpPNnVydVQyaC8w | |
|
|
575 | NGZZanJyUk5WczY5RUIxeFF3ditycjFOQQo0Ym5VUG80MWVLeHJpZjNoVmR3d3hQV1dwL2IzakQr | |
|
|
576 | VTJoVVozNkt2em9hL0IzdXhHay8xSUxCZi9JbEZiV3hyUmJWVTdjTTVEdUNLCkN2dHNRQTlsL0RU | |
|
|
577 | K3dnbFYrdW9FOUt6a0RPN0FnelhtREJMalFuUVpKa1dKRGhKVHFaMHVzUjFmd3JmbzYxVHlLOFdt | |
|
|
578 | ZTNHYXRNRncKampGRlhDL0thbGlZYk1NM3hCSHgrNHh2MFZjVjBLV2l4RGZqdXpScEJhN3NWV21Q | |
|
|
579 | V0kydmhyamVsNmxkbXZHTFUvdER4cmZvYTVkdAo0K0psZEk5NDA4T3p1RjNjYkY3THhvL2hOaXdS | |
|
|
580 | V2YwKzNxNmp2Z1BPeFNjVjlyUHhrdTczMEtzcjdGK0wvZlBrakYrZjJtSUdkOUtICkNQSXVuRk5p | |
|
|
581 | KzB6c0lXZGsvSFY0SVQwdkVQL2x0UVY3czgxYW5jNmhEemsyTjZVUDhYTEc3UkRsM2lod1IrakxT | |
|
|
582 | MzZWeUs1SmZGNnkKOEc2UkRmbWhkNnU0TlJBQmZ4ZTN0Rk5md0ltcFhWWmlXeUsrRXh5dTRXZlFl | |
|
|
583 | QUJYNGRUVW44QTE0dWc0KzlLcTFIZXB1WHY3akNqego4N014TDRwU21CMVR2TnYraHZNS1krL0ZP | |
|
|
584 | NFgrM1ptdmpmZ1l2eFQ4N1JNZldTYlNtSnNjV1haSEM3ayt1RlpjYW5iaURYRmRMaWJnClVkUFhF | |
|
|
585 | QUZaVStDMmlJRE5POVM1S1hYQ2xOaGJaZ3JjSXZ3OEFOLy9PUXdpb1BDcDFxOHd5ODE5cVpsWEdG | |
|
|
586 | UkFQOEtGaGY1RjRwZzEKNzlETithMEs0eUtBSDRndlV6L2l5UUg1bnRkb2RCNHl3Z2dqalBDL3dU | |
|
|
587 | K1VES1FiK0JQTG9RQUFBQUJKUlU1RXJrSmdnZz09Cg== | |
|
|
588 | </png> | |
|
|
589 | <latex>$$X_{0} {\left|1\right\rangle } = {\left|0\right\rangle }$$</latex> | |
|
|
590 | </output> | |
|
|
591 | <output> | |
|
|
592 | <output_type>display_data</output_type> | |
|
|
593 | <text>Y β β0β© = β β β1β© | |
|
|
594 | 0</text> | |
|
|
595 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZZQUFBQVpDQVlBQUFDcldObE9BQUFBQkhOQ1NWUUlD | |
|
|
596 | QWdJZkFoa2lBQUFBM2xKUkVGVQphSUh0MkYyTVhWTVVCL0JmUDhiWDBLSlN4VFRVay9CRVMrTEJF | |
|
|
597 | RjhSU1ltRXBobEUwSGdZUElnRTR5TnVoQ1lpOFNSQmVKS1FJVkdDCkJQV1ZOaUpGcEZJSlF0T0k3 | |
|
|
598 | NGVXRkJNUlREMnNmVE5uOWoxbjdqMjNkMXJwM1AvTFB2dS8xOW43ZjlaWlorMjlEbjBjMEZpSEpm | |
|
|
599 | dGIKUkJkb3Ezc1ZQc0RmMklNSmJNSmdabmNzZmtrMms5aUc0ektiTzBybXZ4N2plQWdQNDRwc2ZD | |
|
|
600 | bHViZk1RczQweTNYQW8zc1hwSldNZAo2NzVXT08yWk5qWmJNRlF4M3NqNmEvRU5GcVgrRXZ5SWl6 | |
|
|
601 | SzdCekN2RTVHemhFYldIOERaMkNoOHNxcml2bExkODdQK0JoR3RsK0hnCmtrbFdZRFhPeGZjZGlK | |
|
|
602 | MkhNYnlJM3hLM0M2K0xsMWRjLzIydHp0NWZHQkMrV0lOZjI5aDJyUHRaOFlhdXpQaEZlQWxIdDdt | |
|
|
603 | L1ViaSsKSk0xMWNXWnpWZUxQeXZnSE94RTRTMmhVOExlWU9XSXAwWjFITE9GWXVMckFMY0FUdUZQ | |
|
|
604 | azJFNnhNclZmWi96MjFKNlg4VC9naEJyegovMS9Rb3J2TXNSdXhFNWZpcU1ROWdxZndWYzBGbDZY | |
|
|
605 | Mmo0eWZTRzIrOFQySGtacHIxTVdJQ0pKeDVjL2ZEVnAwTHl3eCtnY3ZZRlNrCmc0UHdPZDdyWXNH | |
|
|
606 | bVl5Y3l2dGsvTXVOM20zcVpPVmJpYWZVMnVPMm1wN1RWNHVSenM4ajVGK0N0R3ZOVm9VVjNtV09K | |
|
|
607 | ZERDS3U4V2IKSGV0eXdiOVNPNW54QXhYODRpU3lESjhvUC9MVXdlWGk3SGtPRHNOM2V6bGZFeTI2 | |
|
|
608 | cXo2RkxjSXB1M0RQWGl6NFdRWGZQQi8vbFBFago0ck9hTGF4UDdZM2lHYi9zMGJ3dHVxc2NlNm80 | |
|
|
609 | YnIyaE5hcnFZRnRxODgvNzhOVCtuUEZEZWhkRlpkZ2hvbXVOMkRONmhSYmRWYWxnCk9MV2JTc2Jt | |
|
|
610 | aTBycUVDd1h1ZmZOaW5tYWpsMXVlblNlbWRwaVJBOWpjOFU4Y0FhZVZEL0hyczI0YThRKzhyeHc4 | |
|
|
611 | a0x4WlhhTGRycW4KWVZ3aytieWtKU3F2eDlMMUFueUJVd3JqamN4K0orN1B1SmZ4VWNidHE4cnJZ | |
|
|
612 | MVBSZXArcERiWlJZZC91SE50UjVVVTRheGlmYXQzTgppWnI2bFhUOXI0alltWTVJZCtFbUVSMXdv | |
|
|
613 | dGlOMXhkc2poRlJzMmVHZVhxRklieUQ0OFVtbXFlakhNMkNhR25KV0VlNlR4SWh2U01aCi9vNzN4 | |
|
|
614 | YWZUeER5eHFaMVc0TzdGcTRYK2JTVnpqNG9vZlJTdjRicHNmRjBTdVM5d2d3aU1NUnhSNEhQZEcw | |
|
|
615 | UXFteFQrK0JOYlRhK3kKZXFaN2NWcGtSWUc3WFkwY00xZFF0L0xZYmVxM1lST0Q2cFc1Y3dMZGxI | |
|
|
616 | UmJUYzgzeS9CdGIrUWNPT2pHc1IvaS9FTC9RbkVNNnFPQQpibzQzZytJbnhtYWNMS0wxOFY2S211 | |
|
|
617 | c28reEhlUng5OTlOSEhGUDRENzBpdXlrYnJ4SzhBQUFBQVNVVk9SSzVDWUlJPQo= | |
|
|
618 | </png> | |
|
|
619 | <latex>$$Y_{0} {\left|0\right\rangle } = \mathbf{\imath} {\left|1\right\rangle }$$</latex> | |
|
|
620 | </output> | |
|
|
621 | <output> | |
|
|
622 | <output_type>display_data</output_type> | |
|
|
623 | <text>Y β β1β© = -β β β0β© | |
|
|
624 | 0</text> | |
|
|
625 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUdVQUFBQVpDQVlBQUFBb25PQjFBQUFBQkhOQ1NWUUlD | |
|
|
626 | QWdJZkFoa2lBQUFBNTFKUkVGVQphSUh0MlZ1TW5WTVV3UEhmdExSaVJJc2FJNllvSGx5ZWxFWjRH | |
|
|
627 | RUs5RUgxd1QxMFMwZlNoY1luVUpVcmlSQWpDdzBpYXFKQklKS1FSCklVSGlFaUp0aElvS1dpR3FS | |
|
|
628 | RnhDQk1tRUVkZU9oN1dQT1dlZjd6dVhtVG50VEhyK3lXUi8zL3JXdDcrMTlqcDc3YlgzMEtOSENh | |
|
|
629 | dHcKeUo0MllnL1ExTzlUOFRiK3hqakdzQW45bWQ1aCtDWHA3TUkySEo3cDNOckVpTFc0dDBBK2dP | |
|
|
630 | dWJ2RGNiS1BMN2ZEeUwrM0EvcnMyZQp0K1gzVldMQW4yeWhzd1ZESmM4ckJiTGprbnc4R1ZmRTNl | |
|
|
631 | aHJaZUFNcHBMZG40NVJFK08wSDdackRFeUQzM015aGVmRUxGbUIrUVVmClhvSUxjQ2ErYmRQWXUz | |
|
|
632 | Q0hDRWd6WHNlNWJmWTVHMWduZktxTzB4OTRCdXZWcDZ5Mi9INUtET0RGbWZ4QVBJK0RXN3hmS1pF | |
|
|
633 | UGFqNVQKNEo1V3hzMWdLalhYSjRqMHZqclRXU2JHNE5KTVh1ZDNQbE9Jb01BVk5iSzUySURieEpy | |
|
|
634 | U0xiN0RFVjNzZjNleFZLU2t6elA1enRTZQpsY25yL0M0S3ltdjRDZWZob0NSN0VJOWh4OVJzYmNu | |
|
|
635 | VFdObmxiMHlWbzhUQy9STE9LZEVaVE8xdm1Yd3N0WGx4Vk9mM1BnVWQvaU55CjN4cVJ3dWJoRTd6 | |
|
|
636 | WnJ0VlRZTlRFRHlIbkZEeXVzMkpncDhZMFBCWDZSTGE0T2JYcjhFYUJYalVvWTVuOEx6RytDek41 | |
|
|
637 | bmQ5RlFTRlMKMkpyMDBZMjR2UVBEcDhJQ1lXQVI3K1BrM1dSSEdTdndNbjdIY28zcHFjcWZxZDJW | |
|
|
638 | eWZ2RVVwREw2L3d1QzhxVzFQSFBvbkxhWGF3VQpVM21tOGhHK3h2RTRRL3hvaTloZUl0OWZCT2I3 | |
|
|
639 | VEY3bmQxbFFUaFFsOFNzYW85cE5odkJObDcveE1FN3JRUDg2YkUzWFg2VjJ0VmhmCk41VzhzeTIx | |
|
|
640 | ZVNvK0lMVS9aUEk2djh1Q01wemFvby9Pd1RWaU03UllyRFd2bHZUVENjUFkzT1Q1VWp5cTh6WGw4 | |
|
|
641 | a3gyWTRkMjVjekgKMVhnZzNSK0xMektkSFdKZnNoanYxTWlYcGJaMkpyWHkrMzgyaWlPWC9KaUYy | |
|
|
642 | Tkd2VDlkejhhbVl6bFVxSlgyMjJxZk1saDM5UldLeApIc0FpRS81V01yMnRlQ0tUallqTjVMd2FX | |
|
|
643 | Y3NkUFRIUXcvaFFZL1ZBblBHOGtLNy9GVE9sblRLMnV1a2NLSGkyU0t4ZnJYYjlNNEVoCmZJd2Z4 | |
|
|
644 | YXpiVUtKM0p5N0JrZWwrSVM3RVE2SUtvdzIvanhiVDZNdWs5Q3Zld3BVMU9uMmlBRGdwKy9pTE5m | |
|
|
645 | YzNaZjNlZ1BkRWRUR2UKL2o0VHdkdzM2YXhLQnM0R0RoVjd1Ukd4MkZmSi9ZYkx4Q25JU0dwdlVU | |
|
|
646 | OHJwc1h2QldKUWw5VEkxbW96Si9ab2o2TDAxWXhSRTBmMwpWZnAxOStobHI2UFRvTUFINnRlRlFW | |
|
|
647 | Rzc5NWdtSmhPVWQzRjJ6ZjF5VWFyMm1DWW1VNEwyaTRwak00NFJzK1NSNlRTcXgrUXAraWRZCmp4 | |
|
|
648 | NDlldlRZZS9rUDB5SzFTZ2ZuL0lFQUFBQUFTVVZPUks1Q1lJST0K | |
|
|
649 | </png> | |
|
|
650 | <latex>$$Y_{0} {\left|1\right\rangle } = - \mathbf{\imath} {\left|0\right\rangle }$$</latex> | |
|
|
651 | </output> | |
|
|
652 | <output> | |
|
|
653 | <output_type>display_data</output_type> | |
|
|
654 | <text>Z β β0β© = β0β© | |
|
|
655 | 0</text> | |
|
|
656 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZFQUFBQVpDQVlBQUFCSmhNSTNBQUFBQkhOQ1NWUUlD | |
|
|
657 | QWdJZkFoa2lBQUFBdmxKUkVGVQpXSVh0MkYySVZrVWN4L0hQbzY1TFdwcFM2NVpGV1VGWGlSR2lK | |
|
|
658 | S1lJMVJJbFFsZW0rZGFiQzRJWFFua1JxRWdoWHFrWlhvYjJSa0ZRClJDRklFWFhwblZKR2htK3dy | |
|
|
659 | VkVwK0JZcTduWXhzM1dhem5OMnozT2VkVk9mTHp6TW1kK2M4OHlQbWYvTStjK2h4WFZITnlhTXRJ | |
|
|
660 | a0MKU3ZucndDWDA0eklPWXgvMnh0OGZzZTNaT3MrUHhyb2MvUlY4aURld0ZjOGs3Vk94ZXFnbUsz | |
|
|
661 | QlYvSzNFUmF4Rlc5SzJDRmV3bytENQpNWGc5MFZiZ0o0eVA5UTc4aW5uSmZadUhhcklDVjhYZkoz | |
|
|
662 | ZzZSNStGQy9nTW8wcVlISVVmaFJuTzhqNk9vNWJSbnNCalF6WGFJTVB1CmJ5eSt5ZEh2RTJabVA4 | |
|
|
663 | YVZOTGxJV1A1cDU4OUhmWHBHcXhuK2FHeXF2N3hvNnZUZkdabU1ML0duRUtFWFNwcCtKSmFIRS8z | |
|
|
664 | bldNN1AKYVAzNERiZVg3S01LbGZ6bERlSUo0U1V5UURzK3hSUThKVVJqV1RwamVTN1J6OGZ5amtU | |
|
|
665 | L0FFc2I2S2RSS3ZrYk04aWYxL0FPWnFNTApQelRtOFcrVDV4TjlvSDVyb3YrdWZpVE94VnNsK3or | |
|
|
666 | QVpRWHRsZndOTm9odllqR1c0K3RCN2kzaVlpejdFcjJ0am42YmtFYmw4UjFtClZQQ1NSeVYvUlcv | |
|
|
667 | WWw3RWVHN0VubzkrRUJTVk5IcXlqRDZRVHZZbStCTytWN0tNS2xmelZHOFF1dkkzZDJKUzBMY2JF | |
|
|
668 | Y2g0ZGlPV2sKUkw4NWxpY3pXazFZS28zc3ZZMVN5Vi9lY3A2QmovRXRYc3BwWDRVbmhWQmZKV1Qv | |
|
|
669 | MC9DRi9OUW9hL0p1bk03b00yT1pqWVRIL2Z2RgpsaklIMnd2YTh6Z29IQ0RxMFV4LzdrSVB2cGNm | |
|
|
670 | YmMvaDgzamRqUzN4dWsxSUIrNk45VFFQcStFc1hrditiNit3eDJVWmlSTkwwL3hOCkVHYWtGL2Nr | |
|
|
671 | YlhjSysyTWZYb3phVVR5YXVXY1BYcTFqRXRiZ0dHNko5UWVFZkxNcjZhZTd5R1NUYUtxLzdITGVo | |
|
|
672 | b2VFU1B3b2FtTngKdjMrK1hGd1dJckZkaUxxZXpQTy80T0Y0M1ljelNWODdZMy92NGdnZXhBdkNi | |
|
|
673 | QSt3VVBnQU1OejhML3hORlRMM2JDNjNRVGpWM0hBVQpwVGhGbkJTT2dQMFpiVHhPVlhaMERkTG9J | |
|
|
674 | RjRSOXMrT2pOWXBIQmxibEdDN3NCa1QzbTRuaEM4OU54eTF3VytweTBUc3dsZkNKbnhJCk9HZTNh | |
|
|
675 | SUQya1RiUW9rV0xGazNpTDRkZnRMa09FUklrQUFBQUFFbEZUa1N1UW1DQwo= | |
|
|
676 | </png> | |
|
|
677 | <latex>$$Z_{0} {\left|0\right\rangle } = {\left|0\right\rangle }$$</latex> | |
|
|
678 | </output> | |
|
|
679 | <output> | |
|
|
680 | <output_type>display_data</output_type> | |
|
|
681 | <text>Z β β1β© = -β1β© | |
|
|
682 | 0</text> | |
|
|
683 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUdFQUFBQVpDQVlBQUFBaGQwQVBBQUFBQkhOQ1NWUUlD | |
|
|
684 | QWdJZkFoa2lBQUFBdDFKUkVGVQphSUh0MkYrb0ZWVVV4L0hQdWY2NVdHQWhlVFVOTktGOE5RZ0tS | |
|
|
685 | QjhrU2Fvbmc4Q1VRaUZUa0JBUzZTRkpFY1ZYa2FpbnBCQ0RJS2pJCkNDSU5SUkdFSGhMMHdSZEpp | |
|
|
686 | OEwrVUZDQkVxZUhOVmZIT1h1T1orNDU1ODZWNWd2RDJXZnQyWHV2Myt4WmU2ODlORFFVMklyWmRU | |
|
|
687 | c3gKSkNwckc4TjF0SEVEbC9BVnZzeXVYN082NTB2YVQ4UHJYZnAvRTdzUzlvWFlVc1hSbXVpbXI3 | |
|
|
688 | SzJrWktPbmhVUGVUdnV3U05ZalRWNApGL2ZqRUQ0dWFkL0NySVQ5VWV6SFhpR2t5QStaczFPZGxM | |
|
|
689 | NEphNXRlTXNoejRpMy92R0IvQWtjeisvYmUvTDNKUGp5SXEzZTQ3eFJXCjRtVEYvdXRrNE5wbTRw | |
|
|
690 | dUVmUWwreGprUkhkMllMc0l5eFdJUlpidEw2bHZpYlpyS2xPbGJiQUxhVXN2UmZER3plZWJnQy93 | |
|
|
691 | am91VHYKbmx5ZEdHMWN3OXdoamxFWFNXMnBTZmhlYk1MampPSVR6TU16SWhxR3pWRnNtSVJ4NnFC | |
|
|
692 | RFc5bWVNRTRMaC9HazJKUXZETWV2RG41UgpIZ2tyUkZKUWhlL3dVbDhlRFk0T2JYZWFoUDFZaDVk | |
|
|
693 | eGZFaE9wWGhBcE1FcFRtSFpKUG95YURxMGxhV29zQmx2aUUzbWc1eDlGbFlOCjJyTUM2M0ZreUdQ | |
|
|
694 | VVJZZTJza2hZZzdmeFB2WVU2dGJoOTRHN2RvdVdDTmRoN3ozdjRMRWU3MjNqVmJHczlVTlNXMm9T | |
|
|
695 | bHVFamtjdSsKa3FqZmhLY3hJeXRQdzhNNEpwM2FWbVcxMnhPRElzdHhzR0tmNTdHeFlOdGFzWTlC | |
|
|
696 | a05SV25JU0h4TU84Z3JYaWswV2VGMFVVL0NWRQpMQkpMMWd4Y3hGTzQzS2VqSzZTUC9lT2N4dU45 | |
|
|
697 | amxFWFNXMzVQV0cyT0F1TWlGVDBqMXpkQXZHd2orRFR6TFlUbjJYbEd6aURGM3B3ClpFNzJPNWFv | |
|
|
698 | VzRBZmUraGpxdEszdHZmRTJuY1ZaN1ByV3pFWjdleTZMczRMbzluL1JibjJCL0JoVmg3QmE0WCtk | |
|
|
699 | NGpUOXArNS9pN2kKUk82ZUxlSzcxRlNucUs4V2JRdXpnZkw1N2xzaWtob3EwaTFGN2NaUDRoTkdP | |
|
|
700 | MmU3RjcvMTdkSC9rSWxPd3I4aVhjdXZmZlBGSjQrRwpTZVFndG1YbGxwaUFKZlc1Yy9mUzZxUHRm | |
|
|
701 | ZUxBOHpXV2lvM284Q0NjYXFqT2FOME9ORFEwTkRRTWhQOEE1dHlRaEROTkdtY0FBQUFBClNVVk9S | |
|
|
702 | SzVDWUlJPQo= | |
|
|
703 | </png> | |
|
|
704 | <latex>$$Z_{0} {\left|1\right\rangle } = - {\left|1\right\rangle }$$</latex> | |
|
|
705 | </output> | |
|
|
706 | <output> | |
|
|
707 | <output_type>display_data</output_type> | |
|
|
708 | <text>S β β0β© = β0β© | |
|
|
709 | 0</text> | |
|
|
710 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZBQUFBQVpDQVlBQUFDbVJxa0pBQUFBQkhOQ1NWUUlD | |
|
|
711 | QWdJZkFoa2lBQUFBeEZKUkVGVQpXSVh0MkZ1SVZWVWN4L0hQTkdNb0UxcUJOUm9SR3BIVlEvU2dG | |
|
|
712 | WVNYd0VLb2ZDbXdncDU2NmlWSWlNS2dFMXBFU2hBRVBnaUNxRlRZCmcxQmdGM29wQ08zQmw2SFFM | |
|
|
713 | a3hSakVrM2pTWXZYY2FIL3o3TWRyWDM5dXl6ejJnajV3dUhmZFovM1g1bjdiWCsvLzg2OUxsb1dJ | |
|
|
714 | REgKTHJTSUNncjFEVlYwR01JVFdKWjluNDEzOENiZXduMFZmWi9HSzRudEZyeUFNWnpBYVd6Qnlh | |
|
|
715 | eitDRzQ0eDQvb0ZkT3VidzdleFhPNApKR2QvRm9mRklsYlJTc3J6Y0F6MzVHeTdzQzFwdHhaTE94 | |
|
|
716 | WFpnRlpTN3JtK1BRV2QyNHpqOFpvQ04rQ0h4TFlhazdnN1p4c1V1MkM2CmFTWGxydlhsZDFlYmVX | |
|
|
717 | S2w5NVJNUG9xUE9oUUtsK0pKZkpEWVA4YWZ6bllGLytCM1hGNWovS1kwMGxlMGdIZGhsdkx6L29u | |
|
|
718 | d0U1MXkKTGVianE4UitTcnoxbFluOURUeFNZL3ltTk5KWEZFUU9pSlYrRll1d043UDlsZFZ2cWls | |
|
|
719 | d0pIditVVkEzSWFKYm5uRXNyRGxIRXhycApLMXJBbjBXdzJJVDEyV2NDTzRTdk9OYWx3SWtTZ1VY | |
|
|
720 | SDlVdmNLQUpXeW9kaXgzVEtKQjdDMTlPaHJ5eU4yU3hTbG9leENuZUlsT1pxClBOaVI3Q2xPWmM5 | |
|
|
721 | L0MrcG1sZGlYWUdmSmVLdHJ6bjh1R3VrcjhvRnREdUY1TE1kdCtGNEVsOWsxQlk1VzFBMkwvQ3JQ | |
|
|
722 | QW5GTUptdk8KMHkyTjlLVUwrRXpKUUo5amQ5WnBvS2JBNzNBY1Z4VFVYWVlmRTl1ajJWem5pMGI2 | |
|
|
723 | aHBMR0svRnl5VVJ6Y1ZCazZYQW5Wb2pnTWdjdgpLdDgxb3lMYTVabVA2L0JlemphWXpmTmJ5VGl3 | |
|
|
724 | VDMwZnVBN2ZWTFRwaWI0MStCdlhGOVJkaGFQQ0g4S1Z3c0czWDhBV2NUMXEwMHI2CnY0NHZFdHM2 | |
|
|
725 | RWUzejZkSUQ0dW80M2JTU2NrLzBiUmE1ME51NE9XZGZqUDBpR3JmWmdPMjU4bklSbWNvRUxzSlB1 | |
|
|
726 | RDhyRCtCOS83MFMKYml3VDEyTmFTYmxyZmZralBJTGJjU3RlRStIN0YzRmtuOEtudWJaTDhHMnVQ | |
|
|
727 | QzdlMUxBSS9jZVRlY1pFUnI5ZTdQUzU0a2psZCsySQo2bVBXU3k2NHZuMGlWMnh6amZBMTV6TUIv | |
|
|
728 | bDlRbGNaVU1lYnNnREdjUFg5dEptZm0wZTBDSGhTQnBjMkk4Q0VuaTV0ZnZIUzdnSitaCmlzaHdM | |
|
|
729 | N1kybHpQekdPeXkzMUh4dDljYTNDUjI0RXVtcmtWOU9tUkEvSi9XcDArZlBqT1JNeUNPd1JpWFM5 | |
|
|
730 | ZTRBQUFBQUVsRlRrU3UKUW1DQwo= | |
|
|
731 | </png> | |
|
|
732 | <latex>$$S_{0} {\left|0\right\rangle } = {\left|0\right\rangle }$$</latex> | |
|
|
733 | </output> | |
|
|
734 | <output> | |
|
|
735 | <output_type>display_data</output_type> | |
|
|
736 | <text>S β β1β© = β β β1β© | |
|
|
737 | 0</text> | |
|
|
738 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZZQUFBQVpDQVlBQUFDcldObE9BQUFBQkhOQ1NWUUlD | |
|
|
739 | QWdJZkFoa2lBQUFBd3BKUkVGVQphSUh0MkYrb1ZGVVV4L0dQWHBPOGxrV1FYZE1IS1NVelRYeFFL | |
|
|
740 | cUs4UVlXUS82Q0hOSWdnUytvaEVFSHFTU0g3WjlKYkNFR2lxZFNiCmtjSU5UTHdnSWxxWUlFSUZw | |
|
|
741 | aUlVV21sRVVGRjVlMWpuTm1lbWM4NDBNK2NvWGVjTHc3Mno5OXByL1didGZmWmUrOUJseERNSlQx | |
|
|
742 | MXAKRVcyUXFYdDB3WUF4ZUJFNzhDRSt3ak1ZanoxTmdxMHQ2THNiUnpMYXY4UDBKbjZycGpUZGVZ | |
|
|
743 | a2RKeEk1UWN6R0UxaUtpVGlLWDVvSQo3TTFvdXhITDhHbmlKNHZQTWErSjd5b3BUWGRlWXQ4WE03 | |
|
|
744 | RUJsMUx0citQNkpFZ3JMTUI3bUlNTEJYWjc4RmlMdnF0a2dUWjFqOGt3CnVnRkxHZzFUSE1lK0Zn | |
|
|
745 | VU9KaDlDN05RY3U3L3dzMWdsUDdVWW93b0d0YWs3YThYZWoydms3M2NIY0tvZGxmK1JEN0NpUXY5 | |
|
|
746 | VlVhYzcKSzdHSHhReThqVTFxaVI1bVE1WHE4QzF1clRqR0xMeUZBZkdZbDBHZDdxekUvb0NYay8v | |
|
|
747 | WGlCVjZFZStJcFg0NStCcDM1UFR0eGJFVwpQbDlnV21wOEwxYUozM2hlVkQ2bDY4N2FZNG5aM0kz | |
|
|
748 | bDZNYzllQUczNFBFU2hlUXhBOXR6K2g3dTBQZXplRmNjeXYzWTBxRy9OUC9vCkxxcGp2OFE2UElD | |
|
|
749 | NU9Dc090V3RMRkpMRkpQRllEVlhrZjdjNGdCL0JGR3d0eVcrZDdzYkV2cFF6NkFSMkpvTkdsU1Fr | |
|
|
750 | anllVFdGWHgKVGZMM09WRTJuaTdKYjUzdTlGWnduU2dwM3NnWk9FRmNEbjVOdnQrTEIvR0h1RkM4 | |
|
|
751 | cXZOVjFwUEV1VmhnTTRDYlcvQTVKQzQ0SjFOdApmVmlrZG9yZjN0RGZLb1c2RitMUEpFZ2pFM0ZP | |
|
|
752 | N0Vsd0U3NVNtNWhONnErRDZ3dEVETXBmSllzeHYyQnNXYXpCanhpTDJlSXdvMFRkCjZhM2dJVkdm | |
|
|
753 | dm9tWnFmYmI4REUyWW4vUzlqd09pb21ROUs4c0VEVk1qN2lBOUlwM0RvM01rMzBmTDVzcG90cTVK | |
|
|
754 | TjUvYkd0aTM1SHUKN1dJbDlvdVM1ak44Z2wyNEw4UDJsZFQzYWVLUkd3NjZ1c0YrZHZKRHppUjJR | |
|
|
755 | K0lKT0tSMnl2Zmg2VHh4SlRORDNCNDM0cTVVK3hYWApQYUJXNjhMa0pHalZoZjMvaHFKeXE0aFQ2 | |
|
|
756 | ZytxNFpWYTlLTGlxcUxkeEI1Vi93cXREOS9qdDQ0VmpSRGFUZXdSdFFvQkhzWG16dVdNCkhIcmFI | |
|
|
757 | SGRPbkpJTGNhZFlzYS9oOTVKMFhmV01FclZnbHk1ZHVuVDVOMzhEaXFhbVFHZGFQZmNBQUFBQVNV | |
|
|
758 | Vk9SSzVDWUlJPQo= | |
|
|
759 | </png> | |
|
|
760 | <latex>$$S_{0} {\left|1\right\rangle } = \mathbf{\imath} {\left|1\right\rangle }$$</latex> | |
|
|
761 | </output> | |
|
|
762 | <output> | |
|
|
763 | <output_type>display_data</output_type> | |
|
|
764 | <text>T β β0β© = β0β© | |
|
|
765 | 0</text> | |
|
|
766 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUU4QUFBQVpDQVlBQUFCdzQzTnNBQUFBQkhOQ1NWUUlD | |
|
|
767 | QWdJZkFoa2lBQUFBdk5KUkVGVQpXSVh0MkUySVZsVWN4L0dQbzQzanU3WVFxekZ4RkVKRk1pVmNS | |
|
|
768 | RVBVTW5RcjZTYlNRREFHaElTV0xoUkZhS2VRRUdSUWlSRVZMU3A3CldmaTIwWkJTQ0VJTHEwbGRw | |
|
|
769 | Q2xXdnFZdHpyMXhQTjc3ekIzdkhZZXg1N3M1NS83dXZmL3plODQ5TC8vejBHYkUwNGR4dzIyaUJZ | |
|
|
770 | WCsKUmtYMWhmZ3VxLytBbnpFVlMzRURoM0FGVS9BNHVqQU5GNk1ZNDdBYTI1TTIrdkFrVHFFVFgr | |
|
|
771 | R0w2Sm01ZUFwdjM4VVBHd3hENW04egpQc0NrU0Z1QVc5aVZQTHNRRndwaVRNU3JpZllLamdtZERk | |
|
|
772 | MDRsNW1OMlZSbXJFRWE5ZGNSMVpmZ0JWeUt0TjZzL0RKNTc3Z3dFZ2ZpCkFXekFibUhVUWo4T3V2 | |
|
|
773 | TXJIc1hpQ2pHYnBKYS92UE9ld0FGY1QxN0lPMjkvb28vRzd4WE1yY0NqMkp2b24yTWVlaUx0RXl5 | |
|
|
774 | dkVMTkoKYXZuTE8yODYzaW9JM2l1c0E3OG1laWMrcldCdVNWYWVTUFNUV2ZsTXBOM0EzNWhjSVc1 | |
|
|
775 | VDFQS1hkOTVlbkU0Q3pNWEQ3aHgxY0JsNwpLcGlia1pWL0pYcCsvVkNpdjRkVkZlSTJSUzEvWTFv | |
|
|
776 | RXpxZnN2cnUyRnN4ZHhzMFNjMU1UdlI4elMySTloOWNIMmY0UnZEeFUvcXAwClh0SElxOHJWQW1P | |
|
|
777 | RWhWckJ2VzdCWUJGZlkxRU5MMFhVOHRlaG5GNWhLcDlzOGN4QUhDL1JKMlRsbVVSZktVeU5lMFV0 | |
|
|
778 | ZjJXZDE0M1oKd2c1Y2gyTVlMMnd3TVJPejhteWtqUkZNRitXUFEwVXRmMlhUdHRXVUhZdVhoTXk4 | |
|
|
779 | Qng4TGVWR1p1VkhDeC9ncDB2TUVOUDd5eTRSMApvSXhuc2EzRi9TSyt3ZG9XOTV2MDl4OXZDQ2VM | |
|
|
780 | QlFYMzFtTmpWdS9LR24wa3UwNHorRTVjdzdva3hrRjhsbWpEY2NKbzNOOTQvSWcvCjNINzJ6VG5q | |
|
|
781 | OWt6N2ZlRnNXR1FPWHNQM1dWekNCN21HcDZObjV1REZLdVpxMHFpL2ZOcDI0Q1BoWE51RFdabCtX | |
|
|
782 | SmpqYndwNTNSUmgKZS84dGluRmFPS0hBUC9nemFXT3JNSXJmRlJMdXg0VE1QbDVQbjgvYUdHcUcx | |
|
|
783 | ZCtjcktINHo0TXQrTEJ1NEpGSXExU2xpSDdoL0hzcgowaWJnZkdPT1JoQ0Q3Ynlyd3Zvd1BkSm00 | |
|
|
784 | SmZHSE4zbjdNU2FyRDVhV1BQS2psVDNOVVc3NlVBOGlCM0NmM3p6OFMzZWFkTFUvNEd4CncyMmdU | |
|
|
785 | WnMyYlFiSnYyYzB0aEx3SEVvZ0FBQUFBRWxGVGtTdVFtQ0MK | |
|
|
786 | </png> | |
|
|
787 | <latex>$$T_{0} {\left|0\right\rangle } = {\left|0\right\rangle }$$</latex> | |
|
|
788 | </output> | |
|
|
789 | <output> | |
|
|
790 | <output_type>display_data</output_type> | |
|
|
791 | <text>β β Ο | |
|
|
792 | βββ | |
|
|
793 | 4 | |
|
|
794 | T β β1β© = β― β β1β© | |
|
|
795 | 0</text> | |
|
|
796 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUhnQUFBQWxDQVlBQUFDSmRDMzdBQUFBQkhOQ1NWUUlD | |
|
|
797 | QWdJZkFoa2lBQUFCRlpKUkVGVQplSnp0Mm51b0ZIVVV3UEdQM3UycHB2bW9zSkNMRkZtWVdOR0w4 | |
|
|
798 | aEZsWVJGbEpJbFJpQVFLRlpWRVNVVVk5b2FRNko4Qy9VZnNYYVJGCmtBUVJGb1JJRCtoQlpFYVJQ | |
|
|
799 | UzB5emJLYlpuK2NXZTY0ZDJidjdyMjdkL2RlNWd2RHpQN216Ry9PbkRPLzN6bm5OMHRCUVlFMXJW | |
|
|
800 | YWcKb0RsMDRGWjgxV3BGQ3ByTE82MVdvSzhNYjdVQ0JjMmxjUEFRcDNEd0VLZHc4QkNubzlVS0RB | |
|
|
801 | SnV4dFVZaGMreHA3WHFGQlNrR05acQpCWVlnSlZ5R2lYZ0tuYmdGeDFmSTdjZGkvRE9ReXJXS2E3 | |
|
|
802 | WFB5M2Fnbjl0MUdJT1BNUW1yTUFPUFkzcHFQNlhCZW1mYXNKUTZub2puClJlSjFRTVNhdzNCSWNy | |
|
|
803 | NHIyWTVNWlA3RDVkaWQ2dVBRcE8zVkhDWG1KZjI5V05IK1BTN0J4bHFmcG9uMDkwVTdFeE9FTFVx | |
|
|
804 | NFErUTYKTTRYVHIwLzJlVFROaHJmalUxeUtjVW5iaWNMWmIrck91RXU0QVgvcm1ZV1BUQjZva21F | |
|
|
805 | aVVlbktPUThyOHhRYmhEeUdaYW5mQ3pGWAoyT2ZaWHE1dHFBM1REcm80MlRiaXQ2VHRuR1QvbWhp | |
|
|
806 | eHNBOXJzU1hWVm8xSHNRbExkYzhHV1d6SENUWDAxd282OEdTTnNpWGgwTFdZCm43UXRFVGFZSUti | |
|
|
807 | bmV1bXpEY3NPbm9SdCtLbmlncG5KZmxOT1o3VndqNGhCeTNxUmUwNFlwaDJaamROcWxEMEN2eWJ5 | |
|
|
808 | TzhTei95bEMKM2c1TUZtR3VIdnBzdzNJTW5vSFZHUmZNRktQNXM0cjJFV0k2cjRWOU5jcnRFZzll | |
|
|
809 | cXVPYWdXQTA5dFlodjF1TTNDNThpMk5GdGt3NAoraXo4VmFjT2ZiWmgyY0hQWkFoUEVKbmVlaEdI | |
|
|
810 | MCt6QlEzVXFXUXNiY0NWZWFVTGZsWnlDT1RoR2xDcXI4V09HM0N3Um91cGhhK3I0CjU0cHpuOVRa | |
|
|
811 | VjcwY1pNTlNGY0ZxMDNPeitBalh5SGJ3K1NJUnJJY3ZjRzlHKzRNaWdWeUNuYUpXWFlrYksrUW1p | |
|
|
812 | MUU0bURqSWh1M20KNEZGaUdzdmlBeXl2czcvZEdXMzM0MEx4d3BSbnBnVjRLME4yS3NiaWRCd25S | |
|
|
813 | bnlXWER0eGtBMTdjL0F1MVd1MlJyTkFKQXBaN05YLwpmMVowNGo1UjlqMHNhczRPOGZLOGtDR2Zu | |
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|
814 | cG9YYVgvblVtSERQQWVQd1RSUk11MGZBS1hLZE9LYkp2WS9KOWt2bGgxdjgxZ3U4cEVyCjhIcWps | |
|
|
815 | V293blZJMnpIUHdCYUtFeXB1ZXArTnNVUks4aEI4YW9OaDVlTC9LK1ViRTRITEpVbzl6NFpGa2Ez | |
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|
816 | ZDYyRERQd2RYaTd6eXgKb3JKSUpDRnY2RFpjZjVpTEZWWE9iNUcvZ3BOSHBVN2I1WmNvUy9HMG5o | |
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|
817 | WERZS0tIRGZNY1BGc3NSVzdKT0xjQ3Q0bXBleXQrd1ZWWQoxOHZOeTJ1OFdkK2d4K0ozMVZmR3V2 | |
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|
818 | Ui8rdDZBTzBVR1hZN253OFRvZkUvN083ZHVHNVlkUEJ4M2lTbDNxaWpHdThTYTZrNjhqWGR4CnVJ | |
|
|
819 | ak5YNmI2MkNwRzhEcmRYMVRTekJmVDYwWEo3N3ZGeVA4T0R5UnRDL1crUnRzSU51TW1zVkMvUm56 | |
|
|
820 | Q0c1SGNlL01BM0w4V0dtckQKOUplVGMrV1A2RzBpYmsxT2prZUxESnZJUms4U3RaZmszQitwYTZk | |
|
|
821 | Z2ZFYWYrM1hIaS9GaWVXK2dLT0ZrOGFMK080RDNyWldXMmZBbwpNUVdNVExXdEVndnJCVzFJdlgr | |
|
|
822 | NjI0V3Z4UnRXNW1pTnlhSUxta0JmL2xYNUljNUkvWjZGbHh1alRrRTdNRTJzNkp3cVBtTTkwVnAx | |
|
|
823 | CkNwckJLRkZLamV0RnJxQ2dvS0Nnb0tDZ29HRG84VCtzQXZZaDBLcnJLZ0FBQUFCSlJVNUVya0pn | |
|
|
824 | Z2c9PQo= | |
|
|
825 | </png> | |
|
|
826 | <latex>$$T_{0} {\left|1\right\rangle } = e^{\frac{1}{4} \mathbf{\imath} \pi} {\left|1\right\rangle }$$</latex> | |
|
|
827 | </output> | |
|
|
828 | </outputs> | |
|
|
829 | </codecell> | |
|
|
830 | <markdowncell> | |
|
|
831 | <source><h2>Symbolic gate rules and circuit simplification</h2></source> | |
|
|
832 | </markdowncell> | |
|
|
833 | <codecell> | |
|
|
834 | <input>for g1 in (Y,Z,H): | |
|
|
835 | for g2 in (Y,Z,H): | |
|
|
836 | e = Commutator(g1(0),g2(0)) | |
|
|
837 | if g1 != g2: | |
|
|
838 | display(Eq(e,e.doit())) | |
|
|
839 | </input> | |
|
|
840 | <language>python</language> | |
|
|
841 | <prompt_number>14</prompt_number> | |
|
|
842 | <collapsed>0</collapsed> | |
|
|
843 | <outputs> | |
|
|
844 | <output> | |
|
|
845 | <output_type>display_data</output_type> | |
|
|
846 | <text>β‘Y ,Z β€ = 2β β β X | |
|
|
847 | β£ 0 0β¦ 0</text> | |
|
|
848 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUhZQUFBQVpDQVlBQUFEa0JkcWVBQUFBQkhOQ1NWUUlD | |
|
|
849 | QWdJZkFoa2lBQUFCU1pKUkVGVQphSUh0Mlhuc1hGTVVCL0RQYjBGcGlRcFIwa1lwaVlvcUdnU05v | |
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|
850 | SmJpRDJKZlNxd1ZxVmdpaEVvdHNhUmlpVkRVRW1JWGF4RFJXQ2NSCjRSZGliZElvc2RaU0ZSSjd0 | |
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|
851 | YzNQSCtlTnZubS9OL1BtVGVjM2t2YjNUVjVtN2pudjNuUGZ1ZmZjczF5R3NGcWlLOU4rQW1Qd0pV | |
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|
852 | N0gKaGhuKzMvZ3BReHVHalZQdGYvQmpDM01aaWVFRjcveUJYK3J3ZXZBbWV2RXlMbWxoRHExaWZm | |
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|
853 | eldZdC9oNHR2VFdJb2x5ZitzZmlXOApwV1dFVkZML1Q4U0xXSUYrek1kbE9YMm1pby9xeDllWVUw | |
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854 | WmdDbDhrWS95TXQvRVE3a21lK1FudnFpYkcyUlp6VzV4RFdVeEhINTdECng3Z042NVljNDJnOEx3 | |
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855 | eWlYeGpGRFNuKy9saVU4SDdCSzVoVWRxS1ZITnJjWk5DVEcvUjdIRFBMQ2t0aEFwYmpjblJuZUxz | |
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856 | SVMzMWUKV0dVUk9yV3daK0ZtSytjMENvdnhockRnc3BncDlEd3JoemNIOXlrKzBlcWlra1BiS3hI | |
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857 | NFVwMCtNM0JHcXdJVHpNUkZPZlN4K0FIdgphdjZqT3JHdzNmak13QVU4VTdFUjFNTW9MTVBuYWwz | |
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858 | a1ViaWloZkZxVU1taGRlRXJZVkdiWlhnSDRycFZGWW9YREZUU1NDeElaR2ZsCk5rSW5Gbllic1lC | |
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859 | dlorZ1RFL3BETFk3N1pOSi9hdEtlb2tYWGxqMzI4dENQUjhXUmMyeUt2aDJtYVUrUWNyZmE0R050 | |
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860 | UENNVzlHQjgKM3dZWjdjUWlZVm5aQUtZLytjMzYyVjdONmJxNkljL0V6c0x5ejIxdGlyV28xS0h2 | |
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861 | SUNiOWJ0TGVCRTlqUkR1RVp0Q0ZoMFV3TWFXRgovczFZYkxkUWRyTlBubS9QbzUwazlIUkJpbll3 | |
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862 | cmhmV3ZXUEJ2THJFRWI5TWJPeXlnZGgvNkczeXZZOUVaRHBKTFBJc3NaTitiMVZ3CkExeU40OFZ1 | |
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863 | ZlhVUXh1L0ZhMWl2Uko4Vk9FenR5YkVpNTcxelJHWndaOUxlSEx2aVF1RnVUdEhZQXZ2RjZUVWJI | |
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864 | K0N2RW5Oc2lFb0QKM3NXSjRLOUVwRG9ZT0MyUmNlVXFqTkhKZENlTjAwWDBQamxGdXhhYmlzRHZO | |
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865 | NUVlTmNKd1BDWHFCZDlvTGd0b0NwVUd2Q2xDNmF1UwoxalRDQWVJSWVpQ0hkMUtKY2Y2UGhaMGdV | |
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866 | cDE5TXZScTRlRTBzZWdiTkJoakxUeUM4U0w0NnNlaDdacGdwUUh2MGtUWVlGanJSUHdxCmpzaTFN | |
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867 | N3lkY0UySnNUcmxZNnZZVkxpcXlRM2U2Uk41YUQxMDRTN3NuclQzRkxwK3NlQTc2cUpaSDB2a3M3 | |
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868 | L2p2UnplRmpoVitLQ2QKY1l2d3lWVk14RUw1UG1PMDhEK0xjTGdJbXRLWUlUNjZXVmxGNkJFbHg3 | |
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869 | SSs5Z2lSVTZleG5najBwcXROZmM0VHhRc2lKdGtWNTRzRgozTWxBSGM3R3MzZ3JhYjhwS2xrSFlF | |
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870 | dFJsY3VpbEI0cWRlZzl3cUxtMWVFL2kzMlQvK05FS3JCVzBoNHJQK2NqY3RjUGhjTEc1dkQzCkZs | |
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871 | RmlPbUZ2Skl2T0hjWGRlRkJZVnhvamhKS3J1QUdmSlA4UHdpR1o5eStXWDlDWUlmUTJ1NDc4SWoz | |
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872 | VW9GS0hQamtSa2xjcjNrcFkKY3RyNkYxcnBiNFlKQzNsZnJZL3BGUnZsRDdYSCt6cllYa1NZUzNG | |
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873 | SENWbDBibUZ2RXFkTUpmUE1GM092WWk3dUZmNzI5aFI5REI3RApPM1hHMzFMb2ZMR0Jsd1NGZWlo | |
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874 | S21vOFNsdllBdnNWeGVGMG9yNHB4b25DL1BFVmJMQmFIaVBEMkY5RmUraWcrSVhubk85eWF5T2tU | |
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875 | CnUzdWVLREV1RVhYb1ptVjFDdU9GYm1EcnpMT2hPRWFydUZGRXUyZUxOSEc0K002M2hNR01NakFM | |
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876 | T0ZiNDEyOUZRTmtuYnQ2cUtOUkQKa1k5OUlqTmdIamJDbnhuYTN3YVdDTmROSmxuRi9jbFRCczNL | |
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877 | R213c0VCYlhERDdGTVJuYWJnVjlIa3VlZWlqVVF6TmxyaUlzTlBCZQpkNFRhZTl2OTFPN2l3WlMx | |
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878 | SnFCUUQrMVkyUGxpQjZVeFdqanpLaVpwdkFQYktXdE5RS0VlMnJHd3k0UmYzQ05wVHhBWHd1bHlZ | |
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|
879 | RHR1CmdKcVZ0U2FnVUE5Wkg3dEVGUHEveEpFbEJFMFRCWXdkUkFBeHpjcWJqbmFqbnF3ZUVXVDBx | |
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880 | SitXclU3b3BNNkhNSVFoREdFSVF4aEMKZ244Qjh3aEN5UDVGK0g4QUFBQUFTVVZPUks1Q1lJST0K | |
|
|
881 | </png> | |
|
|
882 | <latex>$$\left[Y_{0},Z_{0}\right] = 2 \mathbf{\imath} X_{0}$$</latex> | |
|
|
883 | </output> | |
|
|
884 | <output> | |
|
|
885 | <output_type>display_data</output_type> | |
|
|
886 | <text>β½β½β½ | |
|
|
887 | -β‘H ,Y β€ = -β²β± 2 β β β β- X + Z β | |
|
|
888 | β£ 0 0β¦ β 0 0β </text> | |
|
|
889 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVBRQUFBQWhDQVlBQUFEdTNJWmlBQUFBQkhOQ1NWUUlD | |
|
|
890 | QWdJZkFoa2lBQUFDTnRKUkVGVQplSnp0bkh0d1hVVWR4ejlKK3JqVXBKUVVuSlJLTzFJWlVXbEJv | |
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891 | STZvMUxZQ0xZSVVLdEtLcjBKQkhNZWlZbm1vS0tnVVI5Q0JzWXlGCmlBVmxtSWpHSWtKNU9DaXhC | |
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|
892 | ZXV6Z0tEVVJ5MzRtTkppa1RvUmlqYkVQNzU3ekxrblo4OXpUMjZTMmMvTW1YdnZ2czd2N081djk3 | |
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|
893 | ZS8KM1hQQjQvRjRQQjZQeHpPOGVCWFE3K0R5ZUR3TnBnMjRvOUZDZUR3ZU4xd0l2TDNSUW5nOG52 | |
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894 | S01CKzVwdEJBZWo4Y05Id0tXTkZvSQpqOGRUbmhiZ1B2UHBHV1dNY1ZUT2E0SHp6ZmMxd0tPT3lt | |
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895 | MEVwd0lMemZkUEFQOXVvQ3hWc0JUb0J2b2FMWWpIUGE0VWVocndJbkFUCjhHUWs3aXBnRGxBenYv | |
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896 | dUJmeUNIekV2QVhjRCt3RmdUM3dkc0FENWVRSTRMZ0hlSHlub0p1Qis0S0pKdUtYQko2UGZEd0Zu | |
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897 | bSs4L04KTTF3TjdNUG9VdWdtNEgzQUtRbHBGcGxyUExBUldBZnNyRjYwUWt3QTdnVGEwYk1CL0Jm | |
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898 | NEdQQ1ErWDB2MEJISzh5dmduS0VTTUlaRApnTzh3SUc4ZjBvZGcrMjh5NnI5bkE1dUhYRHJEUXVv | |
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899 | VkpNb0VKUGhqcUtORU9RRTkwRnFndWFRc0x3TTJtZkpPdGFScEJ0YWp4bjRkCkE1VWJwaHNOTktP | |
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900 | SlJXalFzM0cxdWFZQ2h5SEgyVGEwWDEyR2c0QWpTcGFSeEZHb2YrMEdKa1hpMmszY1ZjQXJLNVFo | |
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|
901 | S3hjaGVhNUUKZFZ3THhaMEU3QVd1VDhoL012SDkxU2xwQ3YwbXBHQmZzTVIveHNTZjVFaWVjMDE1 | |
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902 | cXkzeHg2S2xRZEk2Y2pRcTlIcWcxUkozREJyZwp3clNqMmZtSkV2YzhFT2pFblRWbzQyN1U1c2RH | |
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|
903 | d3IrQ0JqTFh0QmZNdDRGNEMra29vQmM5UjFLL25JTUdnMHBKVStoTFVHWFB0OFQvCkNJMWErenFT | |
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904 | WnorMEJOako0STQwQTdndEpqekthRlBvK2NCbENmR2ZSOHVObVpId2J0UjIwd3Zjc3huTjhrTlJq | |
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905 | NmNnT1c4TmhYMEsKTFRHcTRQNENlZG90K2FZRDI5SFN6emJnaHVsRU94V1ZrYWJROXdCNzBKbzB5 | |
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|
906 | bmpnQmR5dkYyNUhEUncrUExHdkNZK2FaWEdNSklWdQpCYjRMdkNVaHplMGt6eXFyVUgxOU5oSity | |
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907 | UWsvdVlCY1p5UHJheWhvQWY2Ryt0bGt0RTVlV2VIOWVncmttUSs4TFJJMkNmZ3Q4RmRrCnpXUmhF | |
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|
908 | ckNWYlAyNEVFa0szWUxXTmoreHhMOFZkWmhySE12MEx1cEg3REZBRjluWGd5TkZvYWNCbDZQUi9U | |
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|
909 | WkxtdG5BbDFQS2FVVjEKMWhZSnZ3dlY0MEdXZkJPQmk0R3ZSZEkwQVg5aWFPdndjaVRybmNnWFVD | |
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|
910 | VTlEc29ZaTZ6VDNjQ3NuSGsvaXB4L2xaQ2swRWVqU3Q2SwpsQ1I2YlRieHB6bVdxWVlxcWhjNXlx | |
|
|
911 | NUY2NCtzcENuMGU5R2FNODlWUlFNRUh2MnprSWQzYWt5YUxyS1AvbUZlRGp5UDNieHNCcjZPCnZN | |
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|
912 | ZzNBdGVGNG1ZajUrUlE4Z3JrVk5wRmVlZHFHajBPeXZnbWFyUGpDK1NkQzJ4eElFTXNTUXA5QVFN | |
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913 | T3I5YVlheVBhWHBwY2dWdzMKbVh2L0VGaVdNMithUXRkUVI4NXpUY2dwUXg1cWFQc2o2bmg4RGNs | |
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914 | ZTB5UldBLzhFRHJiRW44NUFaM3dVK0dvbzdqTFNyUUxYSEFvOAppOXI4dUlydjFWTXkvK2VRbk1z | |
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915 | TDV1OHcrYWVWbENPV0pJVytBNDJhY1l2OXNXaWY5L0VxaEVLemZqLzFNMGRXUm9ySkhlYUx3QTVn | |
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|
916 | ClhDaHNMY1cyblJZZzVaaWRrR1l1TXExZmorbzVuUGJid0ljTDNMY29VMUdiTFRheWRGZDh2NTRT | |
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|
917 | ZVpjaEdWZEZ3dHZJNTN6Y1RjU3IKSC9iMEhvWTZSTlk5cmkya094MmFrS1BtRVdUNlJqa1N6VnEy | |
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|
918 | OVhWWlpwalByb3JLZDRITGVsK0QzcUphQXR5Q09zY1l0SmJOdzZ2UgptbmdCOE11RWREM204NFBB | |
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|
919 | YnlKcE85RHNIb2ZydnJZZnNpYk9RMWJLVnJSVjFRRThuZkVlY2JTaWdTbHVSMlFXZzdmNVFDYjA2 | |
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|
920 | V2lYCkpZN2prSmU2QzdnMEVuY3U4QXZncVl6eS9SNjE4Y1lnSUN6bzQyamt5RnJKTDJSSU14TjVW | |
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|
921 | bSt4eEwvWmZHNnd4QitNVExvMnBQUkoKblN1T09VaE9XNzR5NWIrSC9Gc2k5NksxZkJpWDlmNFha | |
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|
922 | Qkd0UUhXK0V1M0Q1bUYvdExZN0RTa3B3QlMwRy9Ga1RQb0p3Sm5BcDgzdgo4YWd6dDZIT0hZZkxa | |
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|
923 | OTRIdUFFZDAzM0doSFVDWDBLZTdpdGk4bVJ0OTE0alo1eENyeU4rR2JjWHV6TFBCTDRIL0F6NVBN | |
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|
924 | Si9EdEdFCkJvS2dmMlNSY1Fkd2dPVmVwYkNaM0I5QlFyL1RrbStkaWUrSWladU9IaUpZYS8rVXda | |
|
|
925 | N0FwQTdSaEV6R0J5enhhZVdubWR6alRIeWUKcXhaYmtsdm1vVHA5QjlyS3lrTU5lWWlqcDdxV0FX | |
|
|
926 | KzA1UGtBVXJoSlNQR0RXZWMra3JjeVhkQUNmQXM0UEJKK0FGS3FweGpzSE12UwpyN0xRa3pQOWdX | |
|
|
927 | akEzVUw4OXVGU3REektJK1B2Z1BlSEE2cjJCTTR6bncvR3hMV2dHZnFQeEp0Rm53UytqMGJKWG5U | |
|
|
928 | S2FVVW8vZ3IwClFMYmpmRE9SS1dhYi9kUEtUK00veUx6TGMrM0pVWDVSSGtBellCZURyWUVrbW9D | |
|
|
929 | YjBWN3UwV2gyT3dlWjA4dXhlMVNQUk9lbW4wUDcKemplWThLZVJrNm9xT3BERnM1N0JMd005ZzJi | |
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|
930 | Q2FRdytmVmkyM1l2UWlyYi9hdWhjeExPUitPWElvZ3IrUVNhTGpDMW9TYm1qQ29IRApNM1FMMmdP | |
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|
931 | OEZaMys2Z2UrZ1dacmtBS3VSbHNod1lzYTF3RW5Sc3I4TlhCRzZQY1NwTUFCYTVGNUUzM1FCYWhU | |
|
|
932 | UFdMS2Z4RHRjVWUzCmJkTEtINGxPc1lEenNBOWtOaTdHL3A5aFNaM21HR1NhcjZMKzdQd0taRnE2 | |
|
|
933 | WmpIcTRNOFoyWDVNdmRuWmdyenR1eGlRdlJONGc0bFAKYS9lczlPUklHNXkyZXdqdE9GeVBsaldi | |
|
|
934 | a0oraEgyMFBCcnNnV1dROEJPbFgzZTVRRmVkcis1QVpGQ2gyd0c3enVSMHBlSlMvUjM1UApvZDZS | |
|
|
935 | MWt1OThNdlIxc2laa1h3UG8wWmNFd3JyWjJCOWxiWDhrY3pONVBmeS9nQWQvWXdqenFFWnNBbVo0 | |
|
|
936 | LzNVcjNYdlJzZEpYYk1KCitIUG9kei8xenJjK3REZStsbnEybWM5R3RQdWx4Sy9sdy9RaXBZWnNN | |
|
|
937 | aDZLSEdpN3dvRlZIWmgvTENGdUQ1bzkwOWlKOXFjRGF0Uy8KeWhpY1hvcWFXenZKOXJwZld2a2pt | |
|
|
938 | UmV4TzJac1BFSHhsekNlanduYkN2d0JyY2V6dEhkV3Rwc3JpYVQrNTZyZDkrWkltL2NBU0JZWgo1 | |
|
|
939 | MUovYmgyb2ZnMWRoczNVbjFWdFovQXN2Z2c1REtvcTMxT09DNUY1T1p6Nm1hdDJQeU05U1dIU1pK | |
|
|
940 | eUYxdUtkMFl6RHFhS2piRWJPCm1ZQjUxSjlWUGhHdFNmNVZVZm1lOG14QXM5UDVhUW1IRUZmdEhu | |
|
|
941 | VnN1U1JKeG1ZMFNLNUVqdGxLV0lqcytSdHg5eUw3Uk9Ud09CNXQKalhSVGZ3SnFZa1hsTDBiUHNZ | |
|
|
942 | MlI2eFFiVG94aDRKRExjQ0N0WHcwSGttUmNRWFd2aFA2Zk5xVElSK0R1bldiUWFIUTRGWjFYdFpR | |
|
|
943 | LwpoWUZuOFgrazU0WngyTi9XYWdSVjl5c1gyR1NjRVpQVzQvRjRQQjZQeCtQeGVEd2VUMDcrQjl2 | |
|
|
944 | dE01YzJvTmlJQUFBQUFFbEZUa1N1ClFtQ0MK | |
|
|
945 | </png> | |
|
|
946 | <latex>$$- \left[H_{0},Y_{0}\right] = - \sqrt{2} \mathbf{\imath} \left(- X_{0} + Z_{0}\right)$$</latex> | |
|
|
947 | </output> | |
|
|
948 | <output> | |
|
|
949 | <output_type>display_data</output_type> | |
|
|
950 | <text>-β‘Y ,Z β€ = -2β β β X | |
|
|
951 | β£ 0 0β¦ 0</text> | |
|
|
952 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUpVQUFBQVpDQVlBQUFBNDBHenNBQUFBQkhOQ1NWUUlD | |
|
|
953 | QWdJZkFoa2lBQUFCVmhKUkVGVQphSUh0Mm5lb0hGVVV3T0V2UG1PTXNVWkRGQldOWFZHeFlSUjdR | |
|
|
954 | Nk5pdzk1ckZJSmRKUGFLaW9vWUN4S0pMZGl3dHlTSUlyWllzTVVTClMreUN3UzdZRW8weC9uRm1l | |
|
|
955 | Zk1tdTdNeisrYkZMTzRQQm5idXpEM243cGt6NTU1Nzd0Q2hROFgwcTBqT3RyZ1J2K0pNZklJRk12 | |
|
|
956 | ZDgKaTFtWnRxSG9uenIvSG4rMk9JWUZzV3lCKzZiam4wemJpVGdFUzJOai9OTGlHUDRMRmhOMmI3 | |
|
|
957 | WHZFcG0yR2ZneCtUMVEyQ1ROZC9pcgpSWDJsMkFXams5K0RjUmUrd2h6TXhBTllvMDYvRjVKN1p1 | |
|
|
958 | QjViTktMTVJ5ZnlKcUZhWGdDNDVMajd1VGFkMWdxUjhZaldMSVhZNWhYCjlNTVplQmtUOFRhdUZD | |
|
|
959 | OVdHWTdFSlB3dDdETWRGNld1N3lXQ3dSejhnQ2V4ZGkvR1hZcTBVOVVZbGd6bXc1eCttMkFLVnE1 | |
|
|
960 | Z0RCUHcKRnRiTXRDOGduT1VQREc4aW8xMmM2anljcjNzMldGVkUxd2tZMElLOEs4V3pPckhPdFR0 | |
|
|
961 | eGZZdHllMFU5cDRLWHhHQTNxbk50Q0I3RwpvaFhvWHdTZmluQ2RaUXhtWTU4Q2N0ckJxUmJEUjNx | |
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|
962 | bURYQ09zUFh1TGNoY1RhUUViMlhhajhGcExjaXJoRVpPTlVyODBXc3k3UVBFCmxMaGlSZnIzRU5O | |
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|
963 | QmxsTVMvVVVOMHc1T3RibjRUeE15N1RzazdkZTJLUGZwcFA5bXlmbWV1S0pGV1pYUXlLbUdpQnhu | |
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|
964 | dXA2SisxaHMKV3FIK0hjUWJuR1p2RWFGdUtDR25IWnhxR1dIUEJ6UHQyd3VuR0p0cHowYTBSdXli | |
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|
965 | OUw4TlcrRm0xUzNrV3FLUlV4R0o1QnpzbUp5ZgpqZjM2ZUR6RFJRNzFHTHBLOUd2bVZQMUVNbHpt | |
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|
966 | NklzSFUrOC9uU2JzZkVTcWJYK1JMNzBtOHE0OCt1TWJZYmQ3RlhmR3VTaTdXbWlGCnV6QkNMTmxy | |
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|
967 | SzYvNysxRGZLbmdjNytNZ0VhMnE0amlNTE5ublB2RmdxeVQ3bjdwRXFqRVY5eVJ0YTJGNVVlSjVG | |
|
|
968 | UWZqa2h5WnMwU1UKR2kxV2xkbnl6enduTDFJTndtL0prUTNOVlROWXJEYS9VS3htbGFVZHByOTZq | |
|
|
969 | TVpQV0QvVk5rWXNnb1lLQjJtMlVGbEtSUGJaNG9WcwptWFNrV2srNWVYUUtUaWh3MysvNEFDdmhw | |
|
|
970 | RktqSzhjQTRSVExZZ3NSeW10c0xlcG1YL1NoL2pKVWFlc3RjU3Ayd2p1cDlndkZpendLClA0dm8z | |
|
|
971 | WWlCNG9VL1NlUyt1MkViUEZkd2ZIMUNYcVFhS0tyazJjU3lTdnFKc1ArWFNGaXpQSVNGQzhocGw1 | |
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|
972 | eXF4akF4NVcyUU05NlAKY1ZXT2pDNk0xeDNsZGhPNTJUME5lelJoWHVSVW0yRWhVVEhQNHppeFpU | |
|
|
973 | QklPR0Y2T2JzNFZ0QTRMRitPQTBXRitKbk10ZFZGRFdabQpBVDNOT0FiSGxyaWZLSjFjWGJKUEVa | |
|
|
974 | YkVIU0labjVwcVAwVjNXV0U3VVlNYUo1N0JtbmczSTJjTWJ0RWQ1U2JoU3pGZERoRmJaL1hvCmpS | |
|
|
975 | MExrUmVwemhlZTMraHRJcGF3RTFQbkR3a25xWEcveUF1MnJkTjNaQ0wvb2pyWEJvcDZ6dUVGOWJS | |
|
|
976 | TFRyV1FjTmIxTSswcjR1TFUKK2UyWW5QdysxTnc3Q3BlcG4ydlZDcW1Obm1rek8xWkNubE85S09i | |
|
|
977 | MjdBWnptZ2YxM0NJWXFXZHg3MmhobkxNeS9VWUlaeHVmYVY5TwpUSU12aTMydDJxWm9NejN0NGxS | |
|
|
978 | MzRITThtemsrRXF1OEdnK0lsZWRRRVpGcURCTTUxbE1ONUc4Z25Pb3o5WGM4Y3UyWTk2QjdRNWZZ | |
|
|
979 | CmZIeFA3T3Y5TEp6aXdnYjNyeVkyTG10OGkzVlQ1N2VLN1ljWkdSMVhKZmV1ZzFlU1k2cW95NHdY | |
|
|
980 | Yis0anVuZmRtK2xwQjdZUXhkNysKNHYra2owRjZUb1dYaWdYU1VUaFhUR2R2aUkzOERjVjBlSHBH | |
|
|
981 | L3JHaURQSzFpSWl2Qy91bnliVmpYK1ZVczdGemlmc0hpNkpialpubQpycEFQRndaSjZ5anJFRVgw | |
|
|
982 | ek85TUZ2bGxFYWJnZ05UNXIrTFRuanhxWDNia2tXdkh2b3BVWlptbTV5cHBVZkdwUlkwdUVhbGU2 | |
|
|
983 | bU05CkhZcVJhOGY1eGFuZTFMTll1WUtZejJ2c0x2YndlbHNkYjZhblF6Rnk3VGkvT05Wa2tYVFgy | |
|
|
984 | RlhQM2ZaSDVYK1hWWldlRHNYSXRXT1YKbnhQZkpLcm5wMnV0RW51Qm1LY0hpQS9PcnF0b2JFWDBu | |
|
|
985 | SXpEeE1wdkkrMzFPZkYveGJ4NlhoMDZkT2pRb1VPSER2OUwvZ1VWSWowVAowdXBoZXdBQUFBQkpS | |
|
|
986 | VTVFcmtKZ2dnPT0K | |
|
|
987 | </png> | |
|
|
988 | <latex>$$- \left[Y_{0},Z_{0}\right] = - 2 \mathbf{\imath} X_{0}$$</latex> | |
|
|
989 | </output> | |
|
|
990 | <output> | |
|
|
991 | <output_type>display_data</output_type> | |
|
|
992 | <text>β½β½β½ | |
|
|
993 | -β‘H ,Z β€ = β²β± 2 β β β Y | |
|
|
994 | β£ 0 0β¦ 0</text> | |
|
|
995 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUp3QUFBQWhDQVlBQUFBczdNTG1BQUFBQkhOQ1NWUUlD | |
|
|
996 | QWdJZkFoa2lBQUFCblJKUkVGVQplSnp0MjMrc0hVVVZ3UEZQWDB0L2hWS3AxWUlvdFZoaVZCUi9v | |
|
|
997 | RWFzTkRSUmk1aUlVcW1TR0JUUm9GWUxSR01OYVl5eGl1SnZ3VmdWClVXekVpQllzYWxyalQ2cGlv | |
|
|
998 | bExiUUJRMVVyV1JLajlzRUtUYTlMM25IMmV2ZDkrKzNidDc3OXY3N3RYdU45bmN0ek03TTJkbnpz | |
|
|
999 | dzUKWjJZZkRRME5EUTBOdzhwOEhJL3hHcTYrTTJzNkdtbm9LNWZoWjVneGFFRWEvditaajI4UFdv | |
|
|
1000 | aUdJNGYxZVBtZ2hXZzRNamdLTy95UAptZEtSUVF2UTBET3Z3ZldteWRrZk5wNk16Y2wxNm9CbHFZ | |
|
|
1001 | dTEydTgwYk1IVkNMNWorT1FxcFM2QlQ4Uy84UVg4TVpOM0pjN0EzT1IrCkhQZmhKUmpEdDdCWW1B | |
|
|
1002 | Z1l4VTVjV29OY1orTjlxZnREK0h2cWZrblMzaXI4STFQMkovZ3RQaVg2NlhBTjh0VEZ1YmhadVV5 | |
|
|
1003 | TGNRbWUKZ2p2eFhmeWd5N1pXWVpNSVVJanh1MGVNMzJqcXVaTnhnN2FKZnhndnhvTmR0bGVKMWRq | |
|
|
1004 | UUlYOStJdHp0bUpPVC95THhJdGVxMTh4ZgpqMy9pemFKRDBoTnNROUxteFNWMTdOQ2VMTVBDZHN3 | |
|
|
1005 | cmVXWTVmb2lYNGhoaGdnL2h2VDIwTjRKUGlQNzZlSWZuM29rLzRFek03cUdkCnlwUXAzT2xDMktL | |
|
|
1006 | WDNaamtuMTJqVExPd0QwL0t5WHVWV0YydnJGRFBzQ25jYXJ5cnduUGJSYituYWZYejJoN2FQVGtw | |
|
|
1007 | ZTN0Qi9oTGMKaEVVOTFOMDFaUXJYV2sxV0ZlUi9YNnlBQzJ1VWFhWDgyZmdDL012RTViOFR3Nlp3 | |
|
|
1008 | TjRzVnF4TnpoSXZ3bmt6NktXSWN2dGhqMno5UAp5ajh0a3o0WFczRkNqL1YyVFpuQ2JSZURuR2NH | |
|
|
1009 | NXVBZ2R0VXMwOFY0WENidGliZ2ZQMVZkaWFaVDRjNFNFNkdJNStQOUZlcFpJUHIwCllSTmRtRWNJ | |
|
|
1010 | aGZsbGovS3RUOHBuTGNNMWVGYVBkZlpFSjRXYmlRZHdTMEgrU3ZFU0grdURYR2tlTGZ5TDN3dG51 | |
|
|
1011 | aXJUcFhBWGlZRWMKRjFGL0hsOFQ3MUdGWitONW1iVFRrdm8vbi9QOFNoR1J2NjVEbmNlSlFHV2Z0 | |
|
|
1012 | blhZaUZkVWxHbGF3dXBuQ0JQd1dIdzlKLytrNUhkbgpIMldZSjB6UlFqRUk5OVZZOTBWWTAyV1pt | |
|
|
1013 | L0NaVE5wMXdxMVlnM1VpMEVsekt2YUxDTEVLdjhoSmU3VlF1T3N5Nld2RnBOcUV2V0tTCjdjOHAv | |
|
|
1014 | MWNSNWI1UUtPZ1NFWWpjV0ZHbTJ1aTB3bDJtSFJBY25YUDlXRGp3ait5VGJDT2lRdzRLazlRdFpT | |
|
|
1015 | dmNQREh6dTdrNlJaaHYKeDBNbSs3TmJzTFI3OGYvTDBxVGVUMmJTWjRpVmpUZ21HOFdqT3RSemdS | |
|
|
1016 | alBuZmowRk9TWkVwMFVicHRZaG8vT3lUdEtiRnZjMFNlNQppTUJoRE9kbDBrOVU3bnd6L1VIRHNh | |
|
|
1017 | SlBMa21sTFpkdkJxc3lTN2cwVzB6ZWRscWc3WDl0VS80eHdMRkM0WGJwWWVzamJWSlB3UldxCm44 | |
|
|
1018 | M2RLV1pqSjJaZ0JYYUwyWlhsbVdLUHJzaS9teXJyazJ1RHljNzR1NVhMUHdnTzRNdDRpL2JlMXp2 | |
|
|
1019 | dzRTblVlUlh1RXVaL0xKUDMKSUc3RFk0UVZlbVZKWFU5SWZyY0tjOW9WYVlXN0E2OVZYZUVPVm5q | |
|
|
1020 | bXFXSmZaa3RCZnN2RUZmbHZKd2wvWVlGUXlqeS9wSWh6OEZGOApGaC9NNUMwV0h5MGVxS0dkdW55 | |
|
|
1021 | NE5GZmhEU0pxM1NOVzR0OTAyVWFMUzhXWVhxaDk3bm82YnMwOGR5SHV4VGVGNVRrcy81ejJqT1Mz | |
|
|
1022 | CkgyTldtU0tUdWs0SWZXNUJ1UnVUL09OeThwWUtZVnUrM3EwbTcvOFVUWTduaUMyQjdmSURvdy9n | |
|
|
1023 | YlJYYktUT3BzNFVDZDNQbG5iWmsKdVNXUi95TWl1dXlGYzRSaVovdHBjODZ6ZTBXL0VKYXVhRS8w | |
|
|
1024 | RzJLeHlYdUhLbU5XQzBVS3QxVW8xSktjdkpuNEczNVhVT2RtWEo2Ngp2eHlmUzkxdkVyTitXYWJj | |
|
|
1025 | c3FUZTNXS1dwUmtScG1rY2o2L1l6cUEyZnRjSTg3ZXR4L0tuQ2JmbmpXSVZibDBiVE40UVh5VDZa | |
|
|
1026 | RVh5Cjk4YUNPa2RFaEYva0FwWDFaVzJrRlc0bVBpVDhrRkh0Zlo5MVNmNHlZVEsrcDMyUWY3VXdI | |
|
|
1027 | Mmx1TTlIUlg0dGZwKzZ2RmN2K1cxTnAKczRRU2pvdHRrTmJYSGwvQnI0UXpQaTZVc1dvN2cxSzQx | |
|
|
1028 | dEZjMGVsTUp4YUtiWTJpLzExNFUwNlpHMFNmWG1IeThkUnlNV1k3a3ZKMwpKZmNyTXMrVjlXVmY5 | |
|
|
1029 | dUZHOFNWdHhXdnhRUEs3WDM3RTlaZk0vZkVtQmhvUG1iaDE4bnJoK0orZlNoc1Q1NlJsZnVpOVhi | |
|
|
1030 | UXpLQTdqCnViaTdoN0tIeEo1YkVYbTdBdWVKOTc0L0orOXU3VEZMVzdJL1paNHI3Y3QrYmZ3V0hm | |
|
|
1031 | QVNSMXk3TytTM3VNZkVpR3F1V0tGYWpJdWoKcXoycHRMSE1mUlhLMmhra3ZTZ2I0V1A5cUlkeWVj | |
|
|
1032 | cEcrTU4xak5sUWYvRzdTNXo5dFZoazhpcjRNcE9qclg2MDAxQ04wcjRjZG9WTApSMmRuNHF1cCs3 | |
|
|
1033 | UEVJWHoydzhtNjIybW96clQxNVdyeDZjbzFlSHBOZFI2amZXNTNnVGlIblozSjcyYzc1NHYzMldl | |
|
|
1034 | NFBrOGFac3JHCnJMYi8rRm1ndlFPOVZ6dEFtQ29qWXZQNEFQNWNVNTFWMnpsQisweHhqeVAwbjFW | |
|
|
1035 | NllMckdyS0dob2FHaG9hR2hZWnI0RDB0Y2p3bmcKNUcraEFBQUFBRWxGVGtTdVFtQ0MK | |
|
|
1036 | </png> | |
|
|
1037 | <latex>$$- \left[H_{0},Z_{0}\right] = \sqrt{2} \mathbf{\imath} Y_{0}$$</latex> | |
|
|
1038 | </output> | |
|
|
1039 | <output> | |
|
|
1040 | <output_type>display_data</output_type> | |
|
|
1041 | <text>β½β½β½ | |
|
|
1042 | β‘H ,Y β€ = β²β± 2 β β β β- X + Z β | |
|
|
1043 | β£ 0 0β¦ β 0 0β </text> | |
|
|
1044 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5RQUFBQWhDQVlBQUFDaGdZV3lBQUFBQkhOQ1NWUUlD | |
|
|
1045 | QWdJZkFoa2lBQUFDTUpKUkVGVQplSnp0bkgyUVZsVWR4ei9zQ2d1WTRtSUVTcVJydUNFcWtUT09o | |
|
|
1046 | YVpZQ3I2VVpwcGw2RXdDRldWYXBqTTFrK1FMVGVFTW1KbkpvaWpZCmkrLzVWb0U2Nmx3TnRJWUph | |
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|
1047 | OGhFSzBkS0p6Rm8wMFJaZGZmcGorOTVlTzV6bnZ0eTd0MzdQSGRIejJmbXp0MDk1OXh6Zm52UDc1 | |
|
|
1048 | enoKTzcvZnVRc2VqOGZqOFhnOFVVd0dLZ1ZjSHM4N251SEFmV1VMNFNtT3RySUZlSWR6Sm5CVDJV | |
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|
1049 | SjRQRzhIMnREcXRFdlpnbmlLdzY5UQo1ZkZwNEZmQVcyVUw0dkc4SFZnTmpDcGJDRSt4Mk9iR040 | |
|
|
1050 | RnU0RVhna3BaTFV5dzk1cjRXK0htWmdrUXdHL2d0OEhyWmduaUtaWmoxCmV3QjhBOWdCYkFxbGR3 | |
|
|
1051 | UFhBcnRUTXhQN2dPdUFGY0JwNXJsZFEzVnVOMm5ySFdYWkRiZ1gyQ05VeHc3Z3E4QUdxK3dhWUMv | |
|
|
1052 | ejh3QncKSWZDd1ZXWTZNQWs0R1pqdktFT3J1QWM0QzNnbEp2OVk0RFBBR0RRaDNBVTgzeHJSTWpN | |
|
|
1053 | TStBMHdnWnB1OUFNTDBTb01jRE53UU9pWgp2eUdkS1l2M0lCMXFONzhQQUZ2TkhhQVQ2RUFMaksx | |
|
|
1054 | WG1RaFM4aTlHTVk5NU1ma1BHNkdtRGtLRzJhYU5aMmdjOEZVT1JMUDdBdlRICnh6RVpEZmloeEF6 | |
|
|
1055 | Zyt3bjUzMGFyYXhlYXlHNUZGc01IQjludXU0R1BETEtPSkxwUm43d0o3RzNsZGFBSnRnZlluL2gr | |
|
|
1056 | YlJWemtZNWQKamQ3cjZGRGVFV2dpdjQxNE9ZL0gwWmtVcE9UZml6YlJ1MGZrdFFNdkF4dGRHa3Bo | |
|
|
1057 | RXhxWSswYmtEUU5XQWg5MnFHY29EcWpiMFF3Wgp4UlRnY2VxZFJhT0JaNEV0NUhjaWRRTFgwL3c5 | |
|
|
1058 | MjArUm9wNWlwUzhFdnRDRTlzYm1mTzR1Tktoc3V0Rkt0UTRZbWZEOHdjQlBvakt5CmRGQWJHcjBi | |
|
|
1059 | aURaVkRrRUQ3WkVNZGNaeEV4bzRuNC9JdXdTNEcvaGRBZTIwbW1uQXY0Q1hZdkpuSWJQNXNGRGFh | |
|
|
1060 | OEFEYUJBZWtyUGQKbGNDbE5IL1BWdDIzTGdpbGZSbjRIN0NxQ2UzZGx1T1pEbVNlcnJUU3h5RVR0 | |
|
|
1061 | UmR0RTNZazFMRVJqWUdMN0l3c0ErcGdOTk1GTWZsSAptL3VqR2VxTW94cnNuR09sejBHZGMwOEJi | |
|
|
1062 | UlJOQjlwVGZpcWh6SVhBMG9UOGR2U2V6N0RTcS91bmczTElkUkt3R2ZoSGptZXo4aGp3Clo3UUgz | |
|
|
1063 | QStGQnZZQnJteFNlM2xpZUZOUkg0U1BhNDJpdG44L0FhMVNhVnlHQXZPVGtnb0ZDWG5uR2lHT2o4 | |
|
|
1064 | bGZZL0luT0Fqand1OU4KZlI4eXY4OGdacGxOb0ZVbTN6aGdFWnBNSGtxUTVmcVVla2FpemJwdHlx | |
|
|
1065 | eWkvbDNZakFMT1J5dEV0NVgzQkZMdVZ2RTFKT3NhWURuTgozUzhGQmRUUkJ2d1NyVWlIWjN4MkR2 | |
|
|
1066 | QzlwQUpCUXQ0ZDZFV3ROai9iMTNiZzZZd0NKWEdlYVc4SjJrdmRpczYrWlNGdFFMVWhlL3ErCkRO | |
|
|
1067 | ZHFZS0pWVDd1cDY1Tkc1Z01qMnVxaDN0UGx5cTdBTnVBUDFMeFNOdGVnZDdRWXVDV1UzZ1g4TlVl | |
|
|
1068 | YmcyRU0wb1VkU1BabUVoUlEKeHhWb3YzNTZqbWNQUWlaOHJGNEdDUTl2UVozNnJvanJhS1JJMStZ | |
|
|
1069 | UUtvN3h5QUh5QW5BbitUYWdMaXZVbm1oVmRiM0dKOVRWaGh3SQp5NnowdlpIck9BOFhJd1dkSHBN | |
|
|
1070 | L2s1cUorQkQxWndQUG9UbDdseVFtb1Q2ckFKOXJjbHZCSUordldsM2Z5dmw4QndvUnhPNXRnNWow | |
|
|
1071 | CkEwekRjYmJ3QlNiL3pKeUN4YkVPZUlOR004YVZNcng4RndDdm9wbTZ5bExnMEJ4MUhZWThweDlQ | |
|
|
1072 | S0hNNG1pSDNRWjBiTnNtdkJyNmIKbzkyOGpFV1QzeXlrRDBHVDJ4dE0vU2VoOTdYY1N1OGdtNzc5 | |
|
|
1073 | blpCWDAzVlRkNlM1cjQzSlA4TGNpL0R3aFhrL1doV2ZLYmplWm5JRAoyckRPQlg2SWxHdy8zQVBj | |
|
|
1074 | VmQ0TC9BeDFWbEp3Y1oyNXowY3J3LzJodkFuRW0rRS9RdS9YaFFweXFDU1o5S09SY3A2UG5DRHJn | |
|
|
1075 | YU5RCktHQlR3bk5wVlBjNFVTNy9hVVIvL2pLQUF1ZmJZdW84RkZrTUQ2QlZQTXhua1FmUFZlZWVS | |
|
|
1076 | cE1aNEQ2Z2pqTDN1QUUxQTNnTytHY28KYlJmZ09LUVl3NUdpYlhkc0R6UkxqQWR1VENnejJEYVNP | |
|
|
1077 | aXVPQ2pYbGphSVhIWFU2QnludGVjQ1BNOVFQT2pWeU00cmRQR2JTT3RINwppRkxPZHVCc3RCb1Bv | |
|
|
1078 | Rm0yejlUelprd2IzeUU1MWhLbVFyeHlndnBoT1hMTmJ6WnBQVWh4RjZBVE0zWjUxMzRiUUFjSlJr | |
|
|
1079 | VGszVWwwCmZHc2dRZDR1NE5kb2IzazZqWWVUNXlKUG42dU1XNUJUS3BJZ0p2MTU0amUzM2VpRnI3 | |
|
|
1080 | TFNyNkFXanpnRi9mRmgwcncvODAyOUp5YVUKU1d2RHhlUWJnMDRSdUY1N3B0UUhjbjFYMEd5M09x | |
|
|
1081 | V3NUVHVLcjN6VVN2K0V1YUk0RVprdjcwT0RhTEZKL3dWeTZqU2JaVFRLT3hwTgpMcjAwVGxocC9l | |
|
|
1082 | WktrTEY4Si9BVW12aHR4eExBTWNoOUR1NHlQb3FPS0RrTHVEOVNEanNRVnVXTEpqOGNlUjRIL0Jk | |
|
|
1083 | MUxraEp0Z0lmCk1MK1BSWEdSSDhRSmdxTHUvZFR2UmNLa3RRSGxucFFJMEY3cTVJelBYWU5NdmZt | |
|
|
1084 | aDYwdklEVDA1NXBtRndCL056K2RTYzVNdlJiTngKcytoRWltYWJUVld1UXJweGRpak5wZDljQ1RL | |
|
|
1085 | VUhXSEt2NEpNUlp2VFVPQjdYa1ladDlBWUw0MFVjQ1phdHYrRVhzcVR5SVNwbnRPYgpoK0lxTDVy | |
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1086 | OEIxRUhqa0plUHp1UXVKN2FvSnRvaEgrWmVyTnpHSEE1VXFqcXViQmxTS0ZzMHRxQWNnZlVxU2pJ | |
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1087 | bVNVT000LzQveG5SClI3emJmQ3FhZVJkUjd4ZzZBeDFFTFpwWktMaSsxY2oyT0kzSHhCWWpsM0lG | |
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1088 | clZJcmdJL2gxbSt1QkJuSzloaFpOcGlmZTlBaXNaYmEKMzlHUFRxUzR5dGhwbnRzNTBTWHRvVGFp | |
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1089 | VWRwanBUOW43ZzhpaDBGNGY5Q1BCc0plYUhZTzh5bzFjK2tGNUVyK0NwbzVxblpzQmExTQp3Nmsv | |
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1090 | VWRBYklWOWFHMlZ6Titxc0xQOUE1UkZxSjA1cyt0RDdqZUl2NkpEbkNPcmZ5ZjNJRkIrQnZLVkY4 | |
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1091 | UVJ5NTFlcG9NRVQ1a2JxClkySWdVMnMyNWZUYkVocDEyZVoxZEN6c0dOeGtuSUltckoyVFZ0S0Ey | |
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1092 | a2J5Um5RenRRMm96VXZVanNKWEdVbjlwcTdYcEwxbWxYc3kKb2Myc2JaUkpQeklIc2xEWE9SbDVn | |
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1093 | OFpCOHg4MDhSMXA3a1h4YjNNbDhWUk1lcEg5bHVWcjV5enYxVlhHbVdpZnVwTm0vVCtERGVoYwpW | |
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1094 | Sml4MUh2R3VtaWNCWXB1dzZQUFFXNUJ3Y2Ura21XQll2c3R6K2tHRjF4azNCZjVEeEkvcXdrS0ZP | |
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1095 | cFphdC9GVEVTamZyZFEvcFZFCnUwS0xiR01vZnI1UkJrdElPWFBXWXRMNmJTaVFKdU1hSEE0eUJF | |
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1096 | Z0JGeFVnMEtrb2xqSU5PUy9Pc3ZLanZxa3FzbzBWeVAzc0I1UWMKSXozSW5UOFVTTk9Ob1VDU2pI | |
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1097 | T0FyN3RVTWhtZEdadFNrRkI3b0s5RXN4NXFMYUtONmRRK2cvY29pTjFWdGhBaFdxRWJneVZPUnRj | |
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1098 | VApKaDZQeCtQeGVEd2VqOGZqU2VEL004TWJMbnFHbE9jQUFBQUFTVVZPUks1Q1lJST0K | |
|
|
1099 | </png> | |
|
|
1100 | <latex>$$\left[H_{0},Y_{0}\right] = \sqrt{2} \mathbf{\imath} \left(- X_{0} + Z_{0}\right)$$</latex> | |
|
|
1101 | </output> | |
|
|
1102 | <output> | |
|
|
1103 | <output_type>display_data</output_type> | |
|
|
1104 | <text>β½β½β½ | |
|
|
1105 | β‘H ,Z β€ = -β²β± 2 β β β Y | |
|
|
1106 | β£ 0 0β¦ 0</text> | |
|
|
1107 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUp3QUFBQWhDQVlBQUFBczdNTG1BQUFBQkhOQ1NWUUlD | |
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1108 | QWdJZkFoa2lBQUFCbjFKUkVGVQplSnp0MjN1c0hVVWR3UEZQTDdjOHFyYTBVbmtaZ1ZEcXF5aEdq | |
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1109 | TEUyWUVtTUZJMEJxUkFTRVMyUGlrcFVsSUF4alJwUmpGR2pGa090CjhvcnhoWllLUm9wSzhCU0pK | |
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1110 | QkNKQ1BpMlVNcWpGTEVnV0pXMDFEOSt1NTY5ZTNiUDJUMzMzSHQ3eW42VHplNloyZm45Wm5kK00v | |
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1111 | UDcKemM2aG9hR2hvYUZoVjJVR0RzVE9BUndUenVoa0tHbVlVTTdIYlpnMjFSVnAyUDJaZ1o5T2RT | |
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1112 | VWFuanQ4Q0NkTmRTVWFuaHRNeDQyRwpiQ29kbWVvS05QVE42Zml1U1hMMko0cnpzUXFmbXVKNkRJ | |
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1113 | cFI4VHlyY09vVTEyV1FqT0JuaGpEb3kxZjQ3Zmd3L3BOTG40L1ZtS2s5Ckt2NFgzOFMzc0RRcDl6 | |
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1114 | enRJZjVmU2RvZDQ2amZEL0RTek8rdGlWN0NZWjZKSCtIaWt2STdoTEVkanNXSnZOMkJrM0U5dHZl | |
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1115 | NGJ6L1IKQnEvRUgvRUwzRnhUMTNIaS9jNUlmdS9FRnB3ZzNtL0tFYmhHdS8yMzRTMTRxcHZ3Vmcv | |
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1116 | bG4wd1VubG1TZnpPZXhTdDZ5S25Dd1ltdQpXN0VJTDh6a3pjR2ZzQUV2cWlCckFTNGRRSjEyRmRa | |
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1117 | aG54NzN6TU12OFRiUk1VL0hNL2hNSC9wRzhGWFJIbC9wY3QrRitKdm8zSHRXCkVkenFrWi8ycXBr | |
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1118 | RmVYdmdTZHhkUlZFRmxnc2ZaWTljK2w3NEZmNkJsMVdVdFRzWjNQSDRlSVg3MW1GaExtMkZNSnAr | |
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1119 | M0lzamtySmwKN2JzLzFvckJvREt0TG5ram9wRnZMOGwvWFZLaFFUWHNXaHlhUzV1Rzc0dHA5Wmdh | |
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1120 | c25Zbmc3dGVjWWZQc2hmK2lVL24waGVJTnJxcQpUOTIzSitWZmxVdmZHMnZFck5TVk9sSHFrWml0 | |
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1121 | M0NnWEorZGJhc2pzeHU5eGZ5N3Q4NkozTGh1Z25sMkpKY0lQS3VPTnVFY1lVemYyCkZNc21Gd2pq | |
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1122 | UzNrd09TL29zMzdmU2M3dnlxVmZpcy9ob2JvQ1cxM3l6aFBXdmFRa2YxMlNmMEJkcFJWWm5zai9S | |
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1123 | QjlsaDJHRU93dGYKRU05WTVnUC9VRFdmbFpoeDNwQkxPenFSZjNuQi9jZUtBT3U5WFdRZUlGeXFU | |
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1124 | ZHJCd1FxOG8yS2Rhb1hWeHlibjh4UUhEY2ZnejloYwpRMlpWbHVEcjRrVjlkZ0xrVHhkVFFpVkhO | |
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1125 | K0ZadkVkRWJJUGdhaEgxTGNVSDhmNWMvcXZ4U0ExOVJhc0Rwd21EdXpxWGZxcVlGaS9HCmZXSkIr | |
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1126 | WkdDOHB0RllQaG1ZUS83aTBEazJvcDE2cURWSmU5Ui9BYlBMemdXaXdkWjNhL2lMcnhHaE5ZLzEv | |
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1127 | KzZVNVVSYmovUmc2c2UKVlVlYXVud01UMk5XTHYzYk9HUWNjZzlKNUg0dGx6NU5qR3pFWjdJZG1O | |
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1128 | dEZ6aG1pclcvQlplT29EOG9ON3VXNmg4UWZUZkx6Yy90NAplUWtleHU5ME9zcEgxcEF6REZOcXlt | |
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1129 | enROY3lVZVlxbndhcU1ZcjB3MnJ6Zi9nSzhOcm0rVHUvTkFMTkZXOStwM296dy80cFVJWTBJCmJ5 | |
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1130 | M0pYNVNjMTlldFFCZG1pWWZmaWJjYTZ5Z2ZoSFBFOUw0cmNRcmVYZVArYTNGRkxtMnJjTTQvb0wz | |
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1131 | MmRRRytPSTU2clJScmxtY0oKVnlETFUyTG1Pa2k4NTNmMmtIVjRjbDRqcHROYVZEVzQxSDhyTTdp | |
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1132 | RklxTGNsSk45UEY0c2ZLUXJSTSt0UXVwVEhTcU1mVk11ZnpsdQpHSkN1ckw2NlB0d1plQ3lUdGxh | |
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1133 | OWxmeXlWZmlWT0Z2NHJuZUowZjBQTmVSbStZaVlOcGRwZjNkZGlGL243bHNtbnVVbjRuMXNWL3lk | |
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1134 | Ck5oMThpbFlKYXJkRHF5VDlRZnlsSkcrKzRyV2RMK045eWZWSk9oM0xicnNjcmhJUGZFSkIzbHdS | |
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1135 | bkdURC9WNjZxa3lwK3dvL3J1cFIKYTRHekQ5YUx5UDlMSXJyc2h4UHhEWjN2ZWxYQnZmZUpaU2U0 | |
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1136 | UktjUG1mSmovTnZZOTUvU3F4MDZhQldrcFN2TVY1YVVPVHZKWDVaSgptNHNuaEg5QWZDMzR1L1oz | |
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1137 | MFRsNFFEeFludlR6MmJrRmVmUHhWN0U4VUZVWHcrWERwU3dWbytoMWZaWS9XbncvUFVkTXBlbHhr | |
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1138 | VTVmCmZJNTQ1NHVTNnhVbE1rZkV1eTF5bmFxMFF3ZXR6UFdiUkUrNEs2bk12Y0tuU05lSXpoU083 | |
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1139 | T1lrL3liUkcvY1JVZXNET2RsM2FCdmwKd2FLWFBHbnN0SDVpSXVzeDdWMGVxOFhPaUkyaUFmTEJT | |
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1140 | UzlkREtmQmpRcFg0cmcreXM0U3l4cGwvMTBvNnN6WGlDbndFcDJqOXp3eAp6ZCtZbE4rUS9GNlV1 | |
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1141 | YWRLTzNUMTRlNFdGcHNmZnU5UHpqY0paM05sSm0rSE1LUURSUWllNVdudEQvQVBDU2YxWE9FM3Bi | |
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1142 | c2ViaFBMCklMMjROM1BkUzlld3NoMnZGMUY2WFo0UmEyNWwzRk9RZG9wNFo0OFg1RDJzSFNWZmxF | |
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1143 | bmZtTG11MUE3ZERPN3hFdVZaWlJ0TDhyYm8KakliMk50YUIzSnFrYmN1a1Bab2NkYWlpYTFqcHg5 | |
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1144 | aUlUdC9xbzF4WmUyL0RiM3VVcmRRT0U3WGo5MDdoaEdlWlkreTN0c04wOW9pSgowdFV3OGZUVkRx | |
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1145 | MEJWbUNEbURZSm4yMkx0a05KT0s2MUZ3NzcxRFdNUHR3dzBxc2RPbWlKSGJ6OWJOTExjeksrSjdh | |
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1146 | eVhDNDJBR2JwCnRjVm1FTHBHeGZPczBSamNaTkNyelR1WWg2TlUzOWpZaTMzRmpvWHBBNUpYVjlj | |
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1147 | MDhUeEhxYkJYcTJFZ1RHYWJOelEwTkRRME5EUTAKVEFML0ExWVBpV1VGdktGZkFBQUFBRWxGVGtT | |
|
|
1148 | dVFtQ0MK | |
|
|
1149 | </png> | |
|
|
1150 | <latex>$$\left[H_{0},Z_{0}\right] = - \sqrt{2} \mathbf{\imath} Y_{0}$$</latex> | |
|
|
1151 | </output> | |
|
|
1152 | </outputs> | |
|
|
1153 | </codecell> | |
|
|
1154 | <codecell> | |
|
|
1155 | <input>c = H(0)*X(1)*H(0)**2*CNOT(0,1)*X(1)**3*X(0)*Z(1)**2; c | |
|
|
1156 | </input> | |
|
|
1157 | <language>python</language> | |
|
|
1158 | <prompt_number>15</prompt_number> | |
|
|
1159 | <collapsed>0</collapsed> | |
|
|
1160 | <outputs> | |
|
|
1161 | <output> | |
|
|
1162 | <output_type>pyout</output_type> | |
|
|
1163 | <text>2 | |
|
|
1164 | H β X β βH β β CNOT β X β X | |
|
|
1165 | 0 1 β 0β 0,1 1 0</text> | |
|
|
1166 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU53QUFBQWdDQVlBQUFCNUNoYmpBQUFBQkhOQ1NWUUlD | |
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1167 | QWdJZkFoa2lBQUFDSkJKUkVGVQplSnp0bkhtUUY4VVZ4ei91SW5JWVFCYU1vR0tpQzBKaWhJWFNF | |
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1187 | QytHWFNCbHBJL1NjaFRoRjJYb3Bram9BbDRFSFgrOEJVMQpvd0ljWmNxOTFhTzhiWUVmT3RKdlFu | |
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1194 | YUZZTCtLV1IvOVJELzNLVDk2UUkKK1cxR1BqaENYalI1dHFXYTY5L09LTDB4UWo3RHlFL1BVTWJY | |
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1195 | Z1hubTcyT012alNieXpaVGdQc1Q4aFJwMXpvcU41WFRFSVNkci9QSQpPeFk1OERZM29JNXY4eWc2 | |
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1200 | ZTZvV3BpejBFaSswU0U3aW1pSFBxQkl1OWJqM24veVpUbjZpSzRJWU1CTXFqZTdRUnYwRjBjODB4 | |
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1202 | YXIzZkFDQmlGLzVYWXIvUjYwemcxWWdVTHMKWVNhZ1pZbHJuMllYbzllMXZ4VFFGNDJtcnBlMEQx | |
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1204 | ZG1iOTQzb3IzRDU0RTlZM1JEeDhtV0hXTHkrTHpITUhIZkdvcHRTMW4wZTl2WmhFNW9CRkc4TjlE | |
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1205 | SmdmMk1mSGNVCnBRbkMxMCtnWTB2RGpYd1RsVWVSZm83MmVCclJudEh0NktSQ0s5V2o5R2pnYW1O | |
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1207 | TlFjdTlEOUgrMSt3SXZTT29QSGhzTXcxMTlsK2dwZENWcU9GY1p1cms0amhUM2p6MAozVDRCTGtJ | |
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1208 | engvNk8vRDd2MGNiKzFrVzNwVHowSjlvWmhOSGJrTk83aHNwUlBnaVJ0NklldlpvT0J4TGtld3hB | |
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1209 | UzVkdzVUZWlXYU1kCitEdmFEN3JHeU5aYlJyd04vTkZjQWZZSjlpUmEwWG05a1dnbUMrc3B3cTR3 | |
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1210 | STFIMDZyMlVkYlpwcFdOWk5nb3RaVmFqait0aUxSMW4KSndIZWo4ajNEUEVCblp2TjFXVEtYWUcy | |
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1211 | S2VKNEdTMVZuMFdEVlpqWHJYdmY5NWhFMFcwcHEzNHZPM3VFQkgrS3FjeExSUCswb2ljYQpaVCsy | |
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1212 | MHRwUVk3a3JSbStTN2pUY2d0YlF5ME5wUmRrVlpqelJRWXZPOHJSSG5zZHkxdmNtL2xzVGYwbFI5 | |
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1213 | aWI4M21NU1JiZWxyUHE5CjdFdzZQK2ZEWnVCZlZFWnQrZ092NXFBN0RWY0JoeElkRkVtTGoxMHRh | |
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1214 | QTl3Y1U1bGRrZTZTdnNvR2k4NzgraHdJTDlqZE9oK0l2RXoKU3hGc1J2N2ExZFRHcmtiVXljOUZh | |
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1215 | LzZTYUpMYVI5TFJzczhLTmVzSFgwTVJ0bUhvTk1LS0Fzb1lpbjV0MjRhV2NRTWo4cDFFdXQrZwp4 | |
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1216 | UkZuMXpray94NnVSTVM5eDBPUTM5Y1VTdlA5MXAybEtQMkovU0RUTDFRdEJnTjdJWC9odVJ6MUJr | |
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1217 | eW5jazlrSGRVT2U4QllOTnJrClFaUmRlWmJ4ZVNEcVBmWkYyeE5yMEFFQ1NQZXRPME9SK292dUJ5 | |
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1218 | VWxtVG1jL0dleExrbGV2azVKU1dkcFFQL0Z3MXYxcmtoSnllZUIKZmxUNmJ5VWxKU1VsSlNVbEpT | |
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1219 | VWxKU1VsWFlML0EvS2RxeUFhY1o1bUFBQUFBRWxGVGtTdVFtQ0MK | |
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|
1220 | </png> | |
|
|
1221 | <latex>$$H_{0} X_{1} \left(H_{0}\right)^{2} CNOT_{0,1} X_{1} X_{0}$$</latex> | |
|
|
1222 | <prompt_number>15</prompt_number> | |
|
|
1223 | </output> | |
|
|
1224 | </outputs> | |
|
|
1225 | </codecell> | |
|
|
1226 | <codecell> | |
|
|
1227 | <input>circuit_plot(c, nqubits=2)</input> | |
|
|
1228 | <language>python</language> | |
|
|
1229 | <prompt_number>16</prompt_number> | |
|
|
1230 | <collapsed>0</collapsed> | |
|
|
1231 | <outputs> | |
|
|
1232 | <output> | |
|
|
1233 | <output_type>pyout</output_type> | |
|
|
1234 | <text>&lt;sympy.physics.quantum.circuitplot.CircuitPlot object at 0x48cd350&gt;</text> | |
|
|
1235 | <prompt_number>16</prompt_number> | |
|
|
1236 | </output> | |
|
|
1237 | <output> | |
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1238 | <output_type>display_data</output_type> | |
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1328 | </png> | |
|
|
1329 | </output> | |
|
|
1330 | </outputs> | |
|
|
1331 | </codecell> | |
|
|
1332 | <markdowncell> | |
|
|
1333 | <source>This performs a commutator/anticommutator aware bubble sort algorithm to simplify a circuit.</source> | |
|
|
1334 | </markdowncell> | |
|
|
1335 | <codecell> | |
|
|
1336 | <input>gate_simp(c) | |
|
|
1337 | </input> | |
|
|
1338 | <language>python</language> | |
|
|
1339 | <prompt_number>17</prompt_number> | |
|
|
1340 | <collapsed>0</collapsed> | |
|
|
1341 | <outputs> | |
|
|
1342 | <output> | |
|
|
1343 | <output_type>pyout</output_type> | |
|
|
1344 | <text>H β CNOT β X | |
|
|
1345 | 0 0,1 0</text> | |
|
|
1346 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUh3QUFBQWNDQVlBQUFDajZ0dmtBQUFBQkhOQ1NWUUlD | |
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1383 | PT0K | |
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1384 | </png> | |
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1385 | <latex>$$H_{0} CNOT_{0,1} X_{0}$$</latex> | |
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1386 | <prompt_number>17</prompt_number> | |
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1387 | </output> | |
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1388 | </outputs> | |
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1389 | </codecell> | |
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1390 | <codecell> | |
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1391 | <input>circuit_plot(gate_simp(c),nqubits=2)</input> | |
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1392 | <language>python</language> | |
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1393 | <prompt_number>18</prompt_number> | |
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1394 | <collapsed>0</collapsed> | |
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1395 | <outputs> | |
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1396 | <output> | |
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1397 | <output_type>pyout</output_type> | |
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1398 | <text>&lt;sympy.physics.quantum.circuitplot.CircuitPlot object at 0x3da1990&gt;</text> | |
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1399 | <prompt_number>18</prompt_number> | |
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1400 | </output> | |
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1401 | <output> | |
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1402 | <output_type>display_data</output_type> | |
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1464 | </png> | |
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1465 | </output> | |
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1466 | </outputs> | |
|
|
1467 | </codecell> | |
|
|
1468 | </cells> | |
|
|
1469 | </worksheet> | |
|
|
1470 | </worksheets> | |
|
|
1471 | </notebook> | |
|
|
1 | { | |
|
|
2 | "nbformat": 2, | |
|
|
3 | "name": "quantum_computing", | |
|
|
4 | "worksheets": [ | |
|
|
5 | { | |
|
|
6 | "cells": [ | |
|
|
7 | { | |
|
|
8 | "source": "<h1>Symbolic Quantum Computing</h1>", | |
|
|
9 | "cell_type": "markdown" | |
|
|
10 | }, | |
|
|
11 | { | |
|
|
12 | "cell_type": "code", | |
|
|
13 | "language": "python", | |
|
|
14 | "outputs": [], | |
|
|
15 | "collapsed": true, | |
|
|
16 | "prompt_number": 1, | |
|
|
17 | "input": "%load_ext sympyprinting" | |
|
|
18 | }, | |
|
|
19 | { | |
|
|
20 | "cell_type": "code", | |
|
|
21 | "language": "python", | |
|
|
22 | "outputs": [], | |
|
|
23 | "collapsed": true, | |
|
|
24 | "prompt_number": 2, | |
|
|
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>Qubits</h2>", | |
|
|
29 | "cell_type": "markdown" | |
|
|
30 | }, | |
|
|
31 | { | |
|
|
32 | "source": "The state of a set of qubits (Two state systems) is the quantum state that is of interest in Quantum Computing.", | |
|
|
33 | "cell_type": "markdown" | |
|
|
34 | }, | |
|
|
35 | { | |
|
|
36 | "cell_type": "code", | |
|
|
37 | "language": "python", | |
|
|
38 | "outputs": [], | |
|
|
39 | "collapsed": true, | |
|
|
40 | "prompt_number": 3, | |
|
|
41 | "input": "alpha, beta = symbols('alpha beta',real=True)" | |
|
|
42 | }, | |
|
|
43 | { | |
|
|
44 | "cell_type": "code", | |
|
|
45 | "language": "python", | |
|
|
46 | "outputs": [ | |
|
|
47 | { | |
|
|
48 | "output_type": "pyout", | |
|
|
49 | "latex": "$$\\alpha {\\left|00\\right\\rangle } + \\beta {\\left|11\\right\\rangle }$$", | |
|
|
50 | "prompt_number": 4, | |
|
|
51 | "png": "iVBORw0KGgoAAAANSUhEUgAAAGkAAAAXCAYAAAAIqmGLAAAABHNCSVQICAgIfAhkiAAAA7JJREFU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\n", | |
|
|
52 | "text": "\u03b1\u22c5\u275800\u27e9 + \u03b2\u22c5\u275811\u27e9" | |
|
|
53 | } | |
|
|
54 | ], | |
|
|
55 | "collapsed": false, | |
|
|
56 | "prompt_number": 4, | |
|
|
57 | "input": "psi = alpha*Qubit('00') + beta*Qubit('11'); psi\n" | |
|
|
58 | }, | |
|
|
59 | { | |
|
|
60 | "cell_type": "code", | |
|
|
61 | "language": "python", | |
|
|
62 | "outputs": [ | |
|
|
63 | { | |
|
|
64 | "output_type": "pyout", | |
|
|
65 | "latex": "$$\\alpha {\\left\\langle 00\\right|} + \\beta {\\left\\langle 11\\right|}$$", | |
|
|
66 | "prompt_number": 5, | |
|
|
67 | "png": "iVBORw0KGgoAAAANSUhEUgAAAGgAAAAXCAYAAADnaAq1AAAABHNCSVQICAgIfAhkiAAAA6NJREFU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\nqCo92nzw2aFDhw4dRvEfMafj+g/WzT4AAAAASUVORK5CYII=\n", | |
|
|
68 | "text": "\u03b1\u22c5\u27e800\u2758 + \u03b2\u22c5\u27e811\u2758" | |
|
|
69 | } | |
|
|
70 | ], | |
|
|
71 | "collapsed": false, | |
|
|
72 | "prompt_number": 5, | |
|
|
73 | "input": "Dagger(psi)\n" | |
|
|
74 | }, | |
|
|
75 | { | |
|
|
76 | "cell_type": "code", | |
|
|
77 | "language": "python", | |
|
|
78 | "outputs": [ | |
|
|
79 | { | |
|
|
80 | "output_type": "pyout", | |
|
|
81 | "latex": "$$\\alpha$$", | |
|
|
82 | "prompt_number": 6, | |
|
|
83 | "png": "iVBORw0KGgoAAAANSUhEUgAAAA4AAAANCAYAAACZ3F9/AAAABHNCSVQICAgIfAhkiAAAAMlJREFU\nKJHV0TFOQlEQheHP12CCLRYQGkLrK4kL0JBIY+si6Ejs3AA0hMYNaGdnoRsw0LoETDSUkJhQAQXz\nErh5lZ3TzJ0z+WfOzfDHOCnRWrhDE+dY4B6rA2abQjnmuIk6wyNe4w3jFGrjBw+J3osNHTRK+p4D\nrCZ6M8B+QPXCSpGv8Y7fBPyKfIkKvg+bFzF1kNqI2OITp4VQbJxHc1ECnWGDN6xTcIkXdBPoCkPM\n7E+T4ZbjO1YwQi3+leEjBuaYYIqnsP1fYgcPriV+6UcWLAAAAABJRU5ErkJggg==\n", | |
|
|
84 | "text": "\u03b1" | |
|
|
85 | } | |
|
|
86 | ], | |
|
|
87 | "collapsed": false, | |
|
|
88 | "prompt_number": 6, | |
|
|
89 | "input": "qapply(Dagger(Qubit('00'))*psi)\n" | |
|
|
90 | }, | |
|
|
91 | { | |
|
|
92 | "source": "SymPy supports many different types of measurements.", | |
|
|
93 | "cell_type": "markdown" | |
|
|
94 | }, | |
|
|
95 | { | |
|
|
96 | "cell_type": "code", | |
|
|
97 | "language": "python", | |
|
|
98 | "outputs": [ | |
|
|
99 | { | |
|
|
100 | "output_type": "display_data", | |
|
|
101 | "latex": "$${\\left|00\\right\\rangle }$$", | |
|
|
102 | "png": "iVBORw0KGgoAAAANSUhEUgAAAB8AAAATCAYAAABobNZCAAAABHNCSVQICAgIfAhkiAAAAWdJREFU\nSInt1btLHUEUx/EPEjU+ICbiozBqq2AaCWKa1IqVpdX9A2xsJLWFhWhhmzqlpQqCTSzsDekUCULw\nURgCXvMQrhazN4x7181umkDID4Yze853+A07Z3b5x/XmocKjaD6H9/iMLqyhiks8xlscp9YX4aro\nxUXeDisYTua7WEnVPqI9taYI142FPOPYfAK3GIlqbfiG5ShXlIMlNBUx38BJRn0HH6Lnohy8wnQa\nzNrNOA4z8kcYE15jGQ72kw381rwPVxn5ahL7S3J1nWAoz/yJcG5VjarnukpwsTYxk2d+g1oy0mpO\nYq0EF2sGW3nm1xrvcl0dSTwtwcUaxqc8c0KnPs3IdybxrCQHk0LT3dND5s8z8i+FTv5ekoMpbBcx\nP8AoBqNcD15g9Q+4Z/giuz9+qSKcSwv2sB7VFoVvfmuUK8rNC9eyQfGP5Ro/kzErfCLf4SsG8Bo/\nIr4o14nzLPP/+iu6A4BqY/+ZKkASAAAAAElFTkSuQmCC\n", | |
|
|
103 | "text": "\u275800\u27e9" | |
|
|
104 | }, | |
|
|
105 | { | |
|
|
106 | "output_type": "display_data", | |
|
|
107 | "latex": "$$\\frac{\\alpha^{2}}{\\alpha^{2} + \\beta^{2}}$$", | |
|
|
108 | "png": "iVBORw0KGgoAAAANSUhEUgAAAD0AAAAtCAYAAAAdtGNyAAAABHNCSVQICAgIfAhkiAAAAl1JREFU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\n", | |
|
|
109 | "text": "2 \n \u03b1 \n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 2 2\n\u03b1 + \u03b2" | |
|
|
110 | }, | |
|
|
111 | { | |
|
|
112 | "output_type": "display_data", | |
|
|
113 | "latex": "$${\\left|11\\right\\rangle }$$", | |
|
|
114 | "png": "iVBORw0KGgoAAAANSUhEUgAAAB8AAAATCAYAAABobNZCAAAABHNCSVQICAgIfAhkiAAAAOZJREFU\nSInt1TFOAkEUxvFfiLEkCIkFFkDCJTThABpqCiquYAWFtzHhBGBja0ws7KysjD2xkRYodo2w2d3Z\nRicxfs28vPle/m8mkzf8cc2KNmp78Rhnmf06ntALAMp8a5yGOpygm8bHGOABW/QLaqr4WrjOKz7K\nyTVwi1esSpqt6lvhRHLLmyLTxPfJv3Sj/ORVfRe4yiZrOcaf0GPaQBQ4vKMTC77AMBZ8iGUseBdv\nMeDnkkd3oN+CX+IuBryJDzkDJgRvpmtoNpf5xpgH6o3QTuN7vEim1hafeMY0U1PFV/ir/SuKdqio\nK05yzo7kAAAAAElFTkSuQmCC\n", | |
|
|
115 | "text": "\u275811\u27e9" | |
|
|
116 | }, | |
|
|
117 | { | |
|
|
118 | "output_type": "display_data", | |
|
|
119 | "latex": "$$\\frac{\\beta^{2}}{\\alpha^{2} + \\beta^{2}}$$", | |
|
|
120 | "png": "iVBORw0KGgoAAAANSUhEUgAAAD0AAAAwCAYAAACi/HI3AAAABHNCSVQICAgIfAhkiAAAAnhJREFU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\nFwnubvhneA5lAAAAAElFTkSuQmCC\n", | |
|
|
121 | "text": "2 \n \u03b2 \n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 2 2\n\u03b1 + \u03b2" | |
|
|
122 | } | |
|
|
123 | ], | |
|
|
124 | "collapsed": false, | |
|
|
125 | "prompt_number": 7, | |
|
|
126 | "input": "for state, prob in measure_all(psi):\n display(state)\n display(prob)\n" | |
|
|
127 | }, | |
|
|
128 | { | |
|
|
129 | "source": "Qubits can be represented in the computational basis.", | |
|
|
130 | "cell_type": "markdown" | |
|
|
131 | }, | |
|
|
132 | { | |
|
|
133 | "cell_type": "code", | |
|
|
134 | "language": "python", | |
|
|
135 | "outputs": [ | |
|
|
136 | { | |
|
|
137 | "output_type": "pyout", | |
|
|
138 | "latex": "$$\\left(\\begin{smallmatrix}\\alpha\\\\0\\\\0\\\\\\beta\\end{smallmatrix}\\right)$$", | |
|
|
139 | "prompt_number": 8, | |
|
|
140 | "text": "\u23a1\u03b1\u23a4\n\u23a2 \u23a5\n\u23a20\u23a5\n\u23a2 \u23a5\n\u23a20\u23a5\n\u23a2 \u23a5\n\u23a3\u03b2\u23a6" | |
|
|
141 | } | |
|
|
142 | ], | |
|
|
143 | "collapsed": false, | |
|
|
144 | "prompt_number": 8, | |
|
|
145 | "input": "represent(psi)\n" | |
|
|
146 | }, | |
|
|
147 | { | |
|
|
148 | "source": "<h2>Gates</h2>", | |
|
|
149 | "cell_type": "markdown" | |
|
|
150 | }, | |
|
|
151 | { | |
|
|
152 | "source": "Gate objects are the operators which act on a quantum state.", | |
|
|
153 | "cell_type": "markdown" | |
|
|
154 | }, | |
|
|
155 | { | |
|
|
156 | "cell_type": "code", | |
|
|
157 | "language": "python", | |
|
|
158 | "outputs": [ | |
|
|
159 | { | |
|
|
160 | "output_type": "pyout", | |
|
|
161 | "latex": "$$X_{0}$$", | |
|
|
162 | "prompt_number": 9, | |
|
|
163 | "png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAAYCAYAAAAPtVbGAAAABHNCSVQICAgIfAhkiAAAAXxJREFU\nSInl1T9IVmEUBvDf9yl8iJNDEYhGSKBgIDQIiYMOQdGom4mDIBhtIRS0O+TSoA2FELiINLTW0JCD\nEdqfRUGQQhISWiLBRR3u++HL7cLV2w0HH7hwznPO+zzvv3svZ4gFbOMwPNsYieqzUW0P71ApYtSI\nzSDUkapVsIVHaCgiHmMqmDxO8TO4/a/idVzAPr6hGriHGD2NSN5S99CNPnxEP2qYO43JSTAg2bIN\nPClbPMZ6MLpcZHA1v0UnDkI8XsQkD61YQpvkfH5IrnZpaMEryQ2DecmWDZVl0IRFXIm43mDyNqO/\ngjHcxzTu5Bk04iV6MmprkvO5muKH8TzEVXzBNRERowPv8RWfMkwWwqwnU/wUXof4QLLau+nBtxx/\npw6xixupnhf4E/V8xkSo/cb1qPcB3mRMsjBqwbQr4u7hQz05yXuSh33sBKM6mvGrTBNYxcUov4Tv\nZZusYDDKb+JZPSn0N8tAUxBdRjt+4mlJ2n+h9r+EzxGOAGtDSS7Kxo8ZAAAAAElFTkSuQmCC\n", | |
|
|
164 | "text": "X \n 0" | |
|
|
165 | } | |
|
|
166 | ], | |
|
|
167 | "collapsed": false, | |
|
|
168 | "prompt_number": 9, | |
|
|
169 | "input": "g = X(0); g\n" | |
|
|
170 | }, | |
|
|
171 | { | |
|
|
172 | "cell_type": "code", | |
|
|
173 | "language": "python", | |
|
|
174 | "outputs": [ | |
|
|
175 | { | |
|
|
176 | "output_type": "pyout", | |
|
|
177 | "latex": "$$\\left(\\begin{smallmatrix}0 & 1 & 0 & 0\\\\1 & 0 & 0 & 0\\\\0 & 0 & 0 & 1\\\\0 & 0 & 1 & 0\\end{smallmatrix}\\right)$$", | |
|
|
178 | "prompt_number": 10, | |
|
|
179 | "text": "\u23a10 1 0 0\u23a4\n\u23a2 \u23a5\n\u23a21 0 0 0\u23a5\n\u23a2 \u23a5\n\u23a20 0 0 1\u23a5\n\u23a2 \u23a5\n\u23a30 0 1 0\u23a6" | |
|
|
180 | } | |
|
|
181 | ], | |
|
|
182 | "collapsed": false, | |
|
|
183 | "prompt_number": 10, | |
|
|
184 | "input": "represent(g, nqubits=2)\n" | |
|
|
185 | }, | |
|
|
186 | { | |
|
|
187 | "cell_type": "code", | |
|
|
188 | "language": "python", | |
|
|
189 | "outputs": [ | |
|
|
190 | { | |
|
|
191 | "output_type": "pyout", | |
|
|
192 | "latex": "$$H_{0} {\\left|00\\right\\rangle }$$", | |
|
|
193 | "prompt_number": 11, | |
|
|
194 | "png": "iVBORw0KGgoAAAANSUhEUgAAADYAAAAZCAYAAAB6v90+AAAABHNCSVQICAgIfAhkiAAAArlJREFU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\ndQDDGMYnhv8BbkWjYKG8VMEAAAAASUVORK5CYII=\n", | |
|
|
195 | "text": "H \u22c5\u275800\u27e9\n 0" | |
|
|
196 | } | |
|
|
197 | ], | |
|
|
198 | "collapsed": false, | |
|
|
199 | "prompt_number": 11, | |
|
|
200 | "input": "c = H(0)*Qubit('00'); c\n" | |
|
|
201 | }, | |
|
|
202 | { | |
|
|
203 | "cell_type": "code", | |
|
|
204 | "language": "python", | |
|
|
205 | "outputs": [ | |
|
|
206 | { | |
|
|
207 | "output_type": "pyout", | |
|
|
208 | "latex": "$$\\frac{1}{2} \\sqrt{2} {\\left|00\\right\\rangle } + \\frac{1}{2} \\sqrt{2} {\\left|01\\right\\rangle }$$", | |
|
|
209 | "prompt_number": 12, | |
|
|
210 | "png": "iVBORw0KGgoAAAANSUhEUgAAALwAAAAkCAYAAAAzfFCFAAAABHNCSVQICAgIfAhkiAAABX9JREFU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\n", | |
|
|
211 | "text": "\u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n\u2572\u2571 2 \u22c5\u275800\u27e9 \u2572\u2571 2 \u22c5\u275801\u27e9\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 2 2" | |
|
|
212 | } | |
|
|
213 | ], | |
|
|
214 | "collapsed": false, | |
|
|
215 | "prompt_number": 12, | |
|
|
216 | "input": "qapply(c)\n" | |
|
|
217 | }, | |
|
|
218 | { | |
|
|
219 | "cell_type": "code", | |
|
|
220 | "language": "python", | |
|
|
221 | "outputs": [ | |
|
|
222 | { | |
|
|
223 | "output_type": "display_data", | |
|
|
224 | "latex": "$$H_{0} {\\left|0\\right\\rangle } = \\frac{1}{2} \\sqrt{2} {\\left|0\\right\\rangle } + \\frac{1}{2} \\sqrt{2} {\\left|1\\right\\rangle }$$", | |
|
|
225 | "png": "iVBORw0KGgoAAAANSUhEUgAAAOgAAAAkCAYAAACDg3a3AAAABHNCSVQICAgIfAhkiAAABt5JREFU\neJztnVmMFEUYx3+zFwRXDlejiAgoahRcEggCLh6Aig9GRYkQHlDjAyiaeIIahQExhggaRXGJYKKi\ngCgYjYrGYzmMxgMBgwkGEQQEA4gYUZDLh6/a7enump7u7enunalfMunuqq5j/ttV9dVX1bNgMBgM\nBoPBUEr0BI5H8DEEI1W6V0SVUYlzXszlNQA3A5kIPq0Zo7tBSxtgIPA6MC/mspcAJ8dcZlowutsw\nI6ieLkB7YF/M5fYBdgB7Yi43LRjdDYGYTrw9+StA1xjLSytGd8wImjZ6AoeAbUlXpMxIre5pbqCj\nkPlIOfEAMDPhOhjd40erua6BLgO+Btaqz7fAiyquG/CZCrPivwIm5KnAWI+wQcDzwOPAfcD5jvh1\nwMg8eZYaXYATgI2a+CrgLuAN4AVgNFDtk6fR3Z+4dK8GXkXm105CaT4AWc9ZhHdDnqji7y4gr6zj\neiiwE2nsAL2AXbjd6tMLrGsxiWsu9BTQVxNXA3wIjEP+wEOAn4HlyMOlI+u4Nrq7iUP3OuAtpL3o\nvMSemuczcfup4xLgmEf8AFt8UCYDbwNb1fUG4AukM7CzDqgPkX+U1FB8k68OaTRrNPH3AiuAucCf\niAUzFhhOMNMsDt1PCpnOSSnofjrwEfAacLbPvYE1X4Q0TK8WnwF2A5sKzCtrOx+I9CTXOe4Zp8LP\ntYVVA1MKLCNqugNPAG8CS4EZQO8ilTUNuCxP/EpgMW7zaA/So+vI2s7j0v3jkOksulNaulvMJP8I\nGljzX4H1mrh6VdhLBeaVtZ0/rNJ2c9xjmdS3O8IfBE4ssJw00hNYhd4kqgXe88njc0SbSx3ha1V4\nrSZd1nYel+5NIdIUg7TobuHXQMFDc52Jew7QGRnSvRiijivyFKbjNHX8yxF+QB2dD9BCZGLeGhkC\njAD64+04AGkYjT75jFb5rLKFZRCzaTNuLb0wuucSl+5BcGlepbnRGvYHI6aGE2tSvTJEJawH5YAj\n3Lru6Ajfipg9XvRDvJFB2AKMD5gmLKuRTq43cCfiBbTTBrgC//nMNtxrdNcgPfiMAusSpe5pJ026\nB8Glua6BWkP6COB3R1wG+AWpeD47XIdV5hGPfL3q1BZZRPbiO+CWgOUfdFwX642PDHBYnc9Glq2G\nAZ/Y7rkVeDlEHaqAqchSV6EPSpS6R0ExdLe+S5p0D4JL83wj6EakITrphfS2fva7jg1Iw3dizRV+\nc4SPRO8pPoYsE7SEON48+Ab4EllPsx6USuBG4OoQ+U1T6a+k+WH0I0rdo6BcdA+CS3OvBtoNOBOY\nr8lksDqGmX9Cs+OpFvjDFt5OHXc67r8AWBCyrDQxG1mo7o6Y2aOR6cPRgPmMQtz8w4C9AdJFqXsn\nFVfpEVePrBM6OYQ0DOcIXmyS1j0ILs29Gqg1/1ytyaRBHZ3zz77ARYgXainwkyb99+rYldwHxXKl\n29PVI+tDOtI+B7WzBJgF3AFMQpwX1wbMY5BKPxTYr8L6IqOjnzkape77kKmFVwNdive04zDxN05I\nXvdC8dP8f+YhtrluYXUzbrPyKmSnRCXijFgPnGKLz9rOK4G/kfU3OwuBH8n1LE8h/7aqDOK2DvLR\nucbjYCrS+44C7g+Y9ixkZHI6c+agNxeztvModc9HU8h0xSRJ3S38llk8NXeOoBngcqQBeo2AXYEe\nuOcmk4EnEbNhF9KzjAGe8cjjKOJVm4Ds0ADogHjVHqJ511It4tDJZ+sfp3W9v9eIfMeZiDlTKJ2Q\nHUALyN2zWY08QIU4O6LUvbWRpO4WlrXh1fH5at4ZeBZ4XxW6H9lQbTkVGpA/7hoVvxFpfH1U/EFy\nv/hjyOZii8kelZ2PbIOagPS6s8jtMG7DvTYXNyOBR5DvOjyiPBcizoYgfID+t28W50mXhO5NLUhr\nUSq61wBPq7IPqXQ/IFbq9bb7tZpbQ3QN3j3LLvXppMlgk0q7V8VbXt9JiNk7TF23Q8wrJxXI5H07\n8K8jrj2y/zEpxiBLTMuBU5HOaSKyr7Il1CEL3EHmLoPQ70vdjn7LZRK6NyFWWFhKSfcK9PtrdyO/\n4ABFftargH+AM2xhU4B3ilVgTCwjdwRqBD5NqC6tiZbuxTW629CtgwbhCOIh7Ij0KiBvNOzQpmgd\nPEeuK74t7k0OBjc3tTC90b0INJLrWl9Py8yctFGHmPGXJF2RMsPoHhE9kL2P/ZH5wpxkqxMpFYjX\n+oakK1JmGN0jpgbZqBDVC7tpYRpwsTrvkGRFygyju8GX8eT+HMijSVWkzDC6K6JwEpUq9yAvOVtb\nuzLAu8lVp2wwutsw/0NCz4W4TastNHuqDcXB6G4wGAwGg8FgMBgMBkMC/AeMQAaiqUki8QAAAABJ\nRU5ErkJggg==\n", | |
|
|
226 | "text": "\u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n \u2572\u2571 2 \u22c5\u27580\u27e9 \u2572\u2571 2 \u22c5\u27581\u27e9\nH \u22c5\u27580\u27e9 = \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 0 2 2" | |
|
|
227 | }, | |
|
|
228 | { | |
|
|
229 | "output_type": "display_data", | |
|
|
230 | "latex": "$$H_{0} {\\left|1\\right\\rangle } = \\frac{1}{2} \\sqrt{2} {\\left|0\\right\\rangle } - \\frac{1}{2} \\sqrt{2} {\\left|1\\right\\rangle }$$", | |
|
|
231 | "png": "iVBORw0KGgoAAAANSUhEUgAAAOMAAAAkCAYAAAB7Y41AAAAABHNCSVQICAgIfAhkiAAABsFJREFU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\nsVgsFovFYrFYLBZLAP4DNMrlCCBIL0wAAAAASUVORK5CYII=\n", | |
|
|
232 | "text": "\u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n \u2572\u2571 2 \u22c5\u27580\u27e9 \u2572\u2571 2 \u22c5\u27581\u27e9\nH \u22c5\u27581\u27e9 = \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 0 2 2" | |
|
|
233 | }, | |
|
|
234 | { | |
|
|
235 | "output_type": "display_data", | |
|
|
236 | "latex": "$$X_{0} {\\left|0\\right\\rangle } = {\\left|1\\right\\rangle }$$", | |
|
|
237 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFQAAAAZCAYAAACvrQlzAAAABHNCSVQICAgIfAhkiAAAA0BJREFU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\n", | |
|
|
238 | "text": "X \u22c5\u27580\u27e9 = \u27581\u27e9\n 0" | |
|
|
239 | }, | |
|
|
240 | { | |
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241 | "output_type": "display_data", | |
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|
242 | "latex": "$$X_{0} {\\left|1\\right\\rangle } = {\\left|0\\right\\rangle }$$", | |
|
|
243 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFQAAAAZCAYAAACvrQlzAAAABHNCSVQICAgIfAhkiAAAA0JJREFU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\n", | |
|
|
244 | "text": "X \u22c5\u27581\u27e9 = \u27580\u27e9\n 0" | |
|
|
245 | }, | |
|
|
246 | { | |
|
|
247 | "output_type": "display_data", | |
|
|
248 | "latex": "$$Y_{0} {\\left|0\\right\\rangle } = \\mathbf{\\imath} {\\left|1\\right\\rangle }$$", | |
|
|
249 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFYAAAAZCAYAAACrWNlOAAAABHNCSVQICAgIfAhkiAAAA3lJREFU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\n", | |
|
|
250 | "text": "Y \u22c5\u27580\u27e9 = \u2148\u22c5\u27581\u27e9\n 0" | |
|
|
251 | }, | |
|
|
252 | { | |
|
|
253 | "output_type": "display_data", | |
|
|
254 | "latex": "$$Y_{0} {\\left|1\\right\\rangle } = - \\mathbf{\\imath} {\\left|0\\right\\rangle }$$", | |
|
|
255 | "png": "iVBORw0KGgoAAAANSUhEUgAAAGUAAAAZCAYAAAAonOB1AAAABHNCSVQICAgIfAhkiAAAA51JREFU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\njx49evTYe/kP0yK1Sgfn/IEAAAAASUVORK5CYII=\n", | |
|
|
256 | "text": "Y \u22c5\u27581\u27e9 = -\u2148\u22c5\u27580\u27e9\n 0" | |
|
|
257 | }, | |
|
|
258 | { | |
|
|
259 | "output_type": "display_data", | |
|
|
260 | "latex": "$$Z_{0} {\\left|0\\right\\rangle } = {\\left|0\\right\\rangle }$$", | |
|
|
261 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFEAAAAZCAYAAABJhMI3AAAABHNCSVQICAgIfAhkiAAAAvlJREFU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\nOGe3aID2kTbQokWLFk3iL4dftLkOERIkAAAAAElFTkSuQmCC\n", | |
|
|
262 | "text": "Z \u22c5\u27580\u27e9 = \u27580\u27e9\n 0" | |
|
|
263 | }, | |
|
|
264 | { | |
|
|
265 | "output_type": "display_data", | |
|
|
266 | "latex": "$$Z_{0} {\\left|1\\right\\rangle } = - {\\left|1\\right\\rangle }$$", | |
|
|
267 | "png": "iVBORw0KGgoAAAANSUhEUgAAAGEAAAAZCAYAAAAhd0APAAAABHNCSVQICAgIfAhkiAAAAt1JREFU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\nSUVORK5CYII=\n", | |
|
|
268 | "text": "Z \u22c5\u27581\u27e9 = -\u27581\u27e9\n 0" | |
|
|
269 | }, | |
|
|
270 | { | |
|
|
271 | "output_type": "display_data", | |
|
|
272 | "latex": "$$S_{0} {\\left|0\\right\\rangle } = {\\left|0\\right\\rangle }$$", | |
|
|
273 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFAAAAAZCAYAAACmRqkJAAAABHNCSVQICAgIfAhkiAAAAxFJREFU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\nQmCC\n", | |
|
|
274 | "text": "S \u22c5\u27580\u27e9 = \u27580\u27e9\n 0" | |
|
|
275 | }, | |
|
|
276 | { | |
|
|
277 | "output_type": "display_data", | |
|
|
278 | "latex": "$$S_{0} {\\left|1\\right\\rangle } = \\mathbf{\\imath} {\\left|1\\right\\rangle }$$", | |
|
|
279 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFYAAAAZCAYAAACrWNlOAAAABHNCSVQICAgIfAhkiAAAAwpJREFU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\n", | |
|
|
280 | "text": "S \u22c5\u27581\u27e9 = \u2148\u22c5\u27581\u27e9\n 0" | |
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281 | }, | |
|
|
282 | { | |
|
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283 | "output_type": "display_data", | |
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284 | "latex": "$$T_{0} {\\left|0\\right\\rangle } = {\\left|0\\right\\rangle }$$", | |
|
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285 | "png": "iVBORw0KGgoAAAANSUhEUgAAAE8AAAAZCAYAAABw43NsAAAABHNCSVQICAgIfAhkiAAAAvNJREFU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\nw22gTZs2bQbJv2c0thLwHEogAAAAAElFTkSuQmCC\n", | |
|
|
286 | "text": "T \u22c5\u27580\u27e9 = \u27580\u27e9\n 0" | |
|
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287 | }, | |
|
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288 | { | |
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289 | "output_type": "display_data", | |
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290 | "latex": "$$T_{0} {\\left|1\\right\\rangle } = e^{\\frac{1}{4} \\mathbf{\\imath} \\pi} {\\left|1\\right\\rangle }$$", | |
|
|
291 | "png": "iVBORw0KGgoAAAANSUhEUgAAAHgAAAAlCAYAAACJdC37AAAABHNCSVQICAgIfAhkiAAABFZJREFU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\nCprBKFFKjetFrqCgoKCgoKCgoGDo8T+sAvYh0KrrKgAAAABJRU5ErkJggg==\n", | |
|
|
292 | "text": "\u2148\u22c5\u03c0 \n \u2500\u2500\u2500 \n 4 \nT \u22c5\u27581\u27e9 = \u212f \u22c5\u27581\u27e9\n 0" | |
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293 | } | |
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294 | ], | |
|
|
295 | "collapsed": false, | |
|
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296 | "prompt_number": 13, | |
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297 | "input": "for gate in [H,X,Y,Z,S,T]:\n for state in [Qubit('0'),Qubit('1')]:\n lhs = gate(0)*state\n rhs = qapply(lhs)\n display(Eq(lhs,rhs))" | |
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298 | }, | |
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299 | { | |
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300 | "source": "<h2>Symbolic gate rules and circuit simplification</h2>", | |
|
|
301 | "cell_type": "markdown" | |
|
|
302 | }, | |
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303 | { | |
|
|
304 | "cell_type": "code", | |
|
|
305 | "language": "python", | |
|
|
306 | "outputs": [ | |
|
|
307 | { | |
|
|
308 | "output_type": "display_data", | |
|
|
309 | "latex": "$$\\left[Y_{0},Z_{0}\\right] = 2 \\mathbf{\\imath} X_{0}$$", | |
|
|
310 | "png": "iVBORw0KGgoAAAANSUhEUgAAAHYAAAAZCAYAAADkBdqeAAAABHNCSVQICAgIfAhkiAAABSZJREFU\naIHt2XnsXFMUB/DPb0FpiQpR0kYpiYoqGgSNoJbiD2JfSqwVqVgihEotsaRiiVDUEmIXaxDRWCcR\n4RdibdIosdZSFRJ7tc3PH+eNvnm/N/PmTec3kvb3TV5m7jnv3nPfuffcs1yGsFqiK9N+AmPwJU7H\nhhn+3/gpQxuGjVPtf/BjC3MZieEF7/yBX+rwevAmevEyLmlhDq1iffzWYt/h4tvTWIolyf+sfiW8\npWWEVFL/T8SLWIF+zMdlOX2mio/qx9eYU0ZgCl8kY/yMt/EQ7kme+QnvqibG2RZzW5xDWUxHH57D\nx7gN65Yc42g8LwyiXxjFDSn+/liU8H7BK5hUdqKVHNrcZNCTG/R7HDPLCkthApbjcnRneLsIS31e\nWGUROrWwZ+FmK+c0CovxhrDgspgp9DwrhzcH9yk+0eqikkPbKxH4Up0+M3BGqwITzMRFOfSx+AHv\nav6jOrGw3fjMwAU8U7ER1MMoLMPnal3kUbiihfFqUMmhdeErYVGbZXgH4rpVFYoXDFTSSCxIZGfl\nNkInFnYbsYBvZ+gTE/pDLY77ZNJ/atKeokXXlj328tCPR8WRc2yKvh2maU+Qcrfa4GNtPCMW9GB8\n3wYZ7cQiYVnZAKY/+c362V7N6bq6Ic/EzsLyz21tirWo1KHvICb9btLeBE9jRDuEZtCFh0UwMaWF\n/s1YbLdQdrNPnm/Po50k9HRBinYwrhfWvWPBvLrEEb9MbOyygdh/6G3yvY9EZDpJLPIssZN+b1Vw\nA1yN48VufXUQxu/Fa1ivRJ8VOEztybEi571zRGZwZ9LeHLviQuFuTtHYAvvF6TUbH+CvEnNsiEoD\n3sWJ4K9EpDoYOC2RceUqjNHJdCeN00X0PjlFuxabisDvN5EeNcJwPCXqBd9oLgtoCpUGvClC6auS\n1jTCAeIIeiCHd1KJcf6PhZ0gUp19MvRq4eE0segbNBhjLTyC8SL46seh7ZpgpQHv0kTYYFjrRPwq\njsi1M7ydcE2JsTrlY6vYVLiqyQ3e6RN5aD104S7snrT3FLp+seA76qJZH0vks7/jvRzeFjhV+KCd\ncYvwyVVMxEL5PmO08D+LcLgImtKYIT66WVlF6BElx7I+9giRU6exngj0pqtNfc4TxQsiJtkV54sF\n3MlAHc7Gs3grab8pKlkHYEtRlcuilB4qdeg9wqLm1eE/i32T/+NEKrBW0h4rP+cjctcPhcLG5vD3\nFlFiOmFvJIvOHcXdeFBYVxojhJKruAGfJP8PwiGZ9y+WX9CYIfQ2u478Ij3UoFKHPjkRklcr3kpY\nctr6F1rpb4YJC3lfrY/pFRvlD7XH+zrYXkSYS3FHCVl0bmFvEqdMJfPMF3OvYi7uFf729hR9DB7D\nO3XG31LofLGBlwSFeihKmo8SlvYAvsVxeF0or4pxonC/PEVbLBaHiPD2F9Fe+ig+IXnnO9yayOkT\nu3ueKDEuEXXoZmV1CuOFbmDrzLOhOEaruFFEu2eLNHG4+M63hMGMMjALOFb4129FQNknbt6qKNRD\nkY99IjNgHjbCnxna3waWCNdNJlnF/clTBs3KGmwsEBbXDD7FMRnabgV9HkueeijUQzNlriIsNPBe\nd4Tae9v91O7iwZS1JqBQD+1Y2PliB6UxWjjzKiZpvAPbKWtNQKEe2rGwy4Rf3CNpTxAXwulyYDtu\ngJqVtSagUA9ZH7tEFPq/xJElBE0TBYwdRAAxzcqbjnajnqweEWT0qJ+WrU7opM6HMIQhDGEIQxhC\ngn8B8whCyP5F+H8AAAAASUVORK5CYII=\n", | |
|
|
311 | "text": "\u23a1Y ,Z \u23a4 = 2\u22c5\u2148\u22c5X \n\u23a3 0 0\u23a6 0" | |
|
|
312 | }, | |
|
|
313 | { | |
|
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314 | "output_type": "display_data", | |
|
|
315 | "latex": "$$- \\left[H_{0},Y_{0}\\right] = - \\sqrt{2} \\mathbf{\\imath} \\left(- X_{0} + Z_{0}\\right)$$", | |
|
|
316 | "png": "iVBORw0KGgoAAAANSUhEUgAAAPQAAAAhCAYAAADu3IZiAAAABHNCSVQICAgIfAhkiAAACNtJREFU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\nQmCC\n", | |
|
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317 | "text": "\u23bd\u23bd\u23bd \n-\u23a1H ,Y \u23a4 = -\u2572\u2571 2 \u22c5\u2148\u22c5\u239b- X + Z \u239e\n \u23a3 0 0\u23a6 \u239d 0 0\u23a0" | |
|
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318 | }, | |
|
|
319 | { | |
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320 | "output_type": "display_data", | |
|
|
321 | "latex": "$$- \\left[Y_{0},Z_{0}\\right] = - 2 \\mathbf{\\imath} X_{0}$$", | |
|
|
322 | "png": "iVBORw0KGgoAAAANSUhEUgAAAJUAAAAZCAYAAAA40GzsAAAABHNCSVQICAgIfAhkiAAABVhJREFU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\n0uphewAAAABJRU5ErkJggg==\n", | |
|
|
323 | "text": "-\u23a1Y ,Z \u23a4 = -2\u22c5\u2148\u22c5X \n \u23a3 0 0\u23a6 0" | |
|
|
324 | }, | |
|
|
325 | { | |
|
|
326 | "output_type": "display_data", | |
|
|
327 | "latex": "$$- \\left[H_{0},Z_{0}\\right] = \\sqrt{2} \\mathbf{\\imath} Y_{0}$$", | |
|
|
328 | "png": "iVBORw0KGgoAAAANSUhEUgAAAJwAAAAhCAYAAAAs7MLmAAAABHNCSVQICAgIfAhkiAAABnRJREFU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\n5G+hAAAAAElFTkSuQmCC\n", | |
|
|
329 | "text": "\u23bd\u23bd\u23bd \n-\u23a1H ,Z \u23a4 = \u2572\u2571 2 \u22c5\u2148\u22c5Y \n \u23a3 0 0\u23a6 0" | |
|
|
330 | }, | |
|
|
331 | { | |
|
|
332 | "output_type": "display_data", | |
|
|
333 | "latex": "$$\\left[H_{0},Y_{0}\\right] = \\sqrt{2} \\mathbf{\\imath} \\left(- X_{0} + Z_{0}\\right)$$", | |
|
|
334 | "png": "iVBORw0KGgoAAAANSUhEUgAAANQAAAAhCAYAAAChgYWyAAAABHNCSVQICAgIfAhkiAAACMJJREFU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\nJh6Px+PxeDwej8fjSeD/M8MbLnqGlOcAAAAASUVORK5CYII=\n", | |
|
|
335 | "text": "\u23bd\u23bd\u23bd \n\u23a1H ,Y \u23a4 = \u2572\u2571 2 \u22c5\u2148\u22c5\u239b- X + Z \u239e\n\u23a3 0 0\u23a6 \u239d 0 0\u23a0" | |
|
|
336 | }, | |
|
|
337 | { | |
|
|
338 | "output_type": "display_data", | |
|
|
339 | "latex": "$$\\left[H_{0},Z_{0}\\right] = - \\sqrt{2} \\mathbf{\\imath} Y_{0}$$", | |
|
|
340 | "png": "iVBORw0KGgoAAAANSUhEUgAAAJwAAAAhCAYAAAAs7MLmAAAABHNCSVQICAgIfAhkiAAABn1JREFU\neJzt23usHUUdwPFPL7c8qra0UnkZgVDqqyhGjLE2YEmMFI0BqRASES2PikpUlIAxjRpRjFGjFkOt\n8orxhZYKRopK8BSJJBCJCPi2UMqjFLEgWJW01D9+u569e3bP2T333Ht7yn6Tze6Z2fn9Znd+M/P7\nzc6hoaGhoaFhV2UGDsTOARwTzuhkKGmYUM7HbZg21RVp2P2ZgZ9OdSUanjt8CCdNdSUanhtMx42G\nbCodmeoKNPTN6fiuSXL2J4rzsQqfmuJ6DIpR8TyrcOoU12WQjOBnhjDoy1f47fgw/pNLn4/VmKk9\nKv4X38S3sDQp9zztIf5fSdod46jfD/DSzO+tiV7CYZ6JH+HikvI7hLEdjsWJvN2Bk3E9tve4bz/R\nBq/EH/EL3FxT13Hi/c5Ifu/EFpwg3m/KEbhGu/234S14qpvwVg/ln0wUnlmSfzOexSt6yKnCwYmu\nW7EIL8zkzcGfsAEvqiBrAS4dQJ12FdZhnx73zMMv8TbRMU/HM/hMH/pG8FXRHl/pct+F+Jvo3HtW\nEdzqkZ/2qpkFeXvgSdxdRVEFlgsfZY9c+l74Ff6Bl1WUtTsZ3PH4eIX71mFhLm2FMJp+3IsjkrJl\n7bs/1orBoDKtLnkjopFvL8l/XVKhQTXsWhyaS5uG74tp9ZgasnYng7tecYfPshf+iU/n0heINrqq\nT923J+VflUvfG2vErNSVOlHqkZit3CgXJ+dbasjsxu9xfy7t86J3Lhugnl2JJcIPKuONuEcYUzf2\nFMsmFwjjS3kwOS/os37fSc7vyqVfis/hoboCW13yzhPWvaQkf12Sf0BdpRVZnsj/RB9lh2GEOwtf\nEM9Y5gP/UDWflZhx3pBLOzqRf3nB/ceKAOu9XWQeIFyqTdrBwQq8o2KdaoXVxybn8xQHDcfgz9hc\nQ2ZVluDr4kV9dgLkTxdTQiVHN+FZvEdEbIPgahH1LcUH8f5c/qvxSA19RasDpwmDuzqXfqqYFi/G\nfWJB+ZGC8ptFYPhmYQ/7i0Dk2op16qDVJe9R/AbPLzgWiwdZ3a/iLrxGhNY/1/+6U5URbj/Rg6se\nVUeaunwMT2NWLv3bOGQccg9J5H4tlz5NjGzEZ7IdmNtFzhmirW/BZeOoD8oN7uW6h8QfTfLzc/t4\neQkexu90OspH1pAzDFNqymztNcyUeYqnwaqMYr0w2rzf/gK8Nrm+Tu/NALNFW9+p3ozw/4pUIY0I\nby3JX5Sc19etQBdmiYffibca6ygfhHPE9L4rcQreXeP+a3FFLm2rcM4/oL32dQG+OI56rRRrlmcJ\nVyDLU2LmOki853f2kHV4cl4jptNaVDW41H8rM7iFIqLclJN9PF4sfKQrRM+tQupTHSqMfVMufzlu\nGJCurL66PtwZeCyTtla9lfyyVfiVOFv4rneJ0f0PNeRm+YiYNpdpf3ddiF/n7lsmnuUn4n1sV/yd\nNh18ilYJardDqyT9QfylJG++4rWdL+N9yfVJOh3LbrscrhIPfEJB3lwRnGTD/V66qkyp+wo/rupR\na4GzD9aLyP9LIrrshxPxDZ3velXBvfeJZSe4RKcPmfJj/NvY95/Sqx06aBWkpSvMV5aUOTvJX5ZJ\nm4snhH9AfC34u/Z30Tl4QDxYnvTz2bkFefPxV7E8UFUXw+XDpSwVo+h1fZY/Wnw/PUdMpelxkU5f\nfI5454uS6xUlMkfEuy1ynaq0QwetzPWbRE+4K6nMvcKnSNeIzhSO7OYk/ybRG/cRUesDOdl3aBvl\nwaKXPGnstH5iIusx7V0eq8XOiI2iAfLBSS9dDKfBjQpX4rg+ys4Syxpl/10o6szXiCnwEp2j9zwx\nzd+YlN+Q/F6UuadKO3T14e4WFpsffu9PzjcJZ3NlJm+HMKQDRQie5WntD/APCSf1XOE3pbsebhPL\nIL24N3PdS9ewsh2vF1F6XZ4Ra25l3FOQdop4Z48X5D2sHSVflEnfmLmu1A7dDO7xEuVZZRtL8rbo\njIb2NtaB3JqkbcukPZocdaiia1jpx9iITt/qo1xZe2/Db3uUrdQOE7Xj907hhGeZY+y3tsN09oiJ\n0tUw8fTVDq0BVmCDmDYJn22LtkNJOK61Fw771DWMPtww0qsdOmiJHbz9bNLLczK+J7ayXC42AGbp\ntcVmELpGxfOs0RjcZNCrzTuYh6NU39jYi33FjoXpA5JXV9c08TxHqbBXq2EgTGabNzQ0NDQ0NDQ0\nTAL/A1YPiWUFvKFfAAAAAElFTkSuQmCC\n", | |
|
|
341 | "text": "\u23bd\u23bd\u23bd \n\u23a1H ,Z \u23a4 = -\u2572\u2571 2 \u22c5\u2148\u22c5Y \n\u23a3 0 0\u23a6 0" | |
|
|
342 | } | |
|
|
343 | ], | |
|
|
344 | "collapsed": false, | |
|
|
345 | "prompt_number": 14, | |
|
|
346 | "input": "for g1 in (Y,Z,H):\n for g2 in (Y,Z,H):\n e = Commutator(g1(0),g2(0))\n if g1 != g2:\n display(Eq(e,e.doit()))\n" | |
|
|
347 | }, | |
|
|
348 | { | |
|
|
349 | "cell_type": "code", | |
|
|
350 | "language": "python", | |
|
|
351 | "outputs": [ | |
|
|
352 | { | |
|
|
353 | "output_type": "pyout", | |
|
|
354 | "latex": "$$H_{0} X_{1} \\left(H_{0}\\right)^{2} CNOT_{0,1} X_{1} X_{0}$$", | |
|
|
355 | "prompt_number": 15, | |
|
|
356 | "png": "iVBORw0KGgoAAAANSUhEUgAAANwAAAAgCAYAAAB5ChbjAAAABHNCSVQICAgIfAhkiAAACJBJREFU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\nflT6byUlJSUlJSUlJSUlJSUlXYL/A/KdqyAacZ5mAAAAAElFTkSuQmCC\n", | |
|
|
357 | "text": "2 \nH \u22c5X \u22c5\u239bH \u239e \u22c5CNOT \u22c5X \u22c5X \n 0 1 \u239d 0\u23a0 0,1 1 0" | |
|
|
358 | } | |
|
|
359 | ], | |
|
|
360 | "collapsed": false, | |
|
|
361 | "prompt_number": 15, | |
|
|
362 | "input": "c = H(0)*X(1)*H(0)**2*CNOT(0,1)*X(1)**3*X(0)*Z(1)**2; c\n" | |
|
|
363 | }, | |
|
|
364 | { | |
|
|
365 | "cell_type": "code", | |
|
|
366 | "language": "python", | |
|
|
367 | "outputs": [ | |
|
|
368 | { | |
|
|
369 | "output_type": "pyout", | |
|
|
370 | "prompt_number": 16, | |
|
|
371 | "text": "<sympy.physics.quantum.circuitplot.CircuitPlot object at 0x48cd350>" | |
|
|
372 | }, | |
|
|
373 | { | |
|
|
374 | "output_type": "display_data", | |
|
|
375 | "png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAACOCAYAAADKKkibAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nESmI5U5EpKD/AV6IddBhjuzWAAAAAElFTkSuQmCC\n" | |
|
|
376 | } | |
|
|
377 | ], | |
|
|
378 | "collapsed": false, | |
|
|
379 | "prompt_number": 16, | |
|
|
380 | "input": "circuit_plot(c, nqubits=2)" | |
|
|
381 | }, | |
|
|
382 | { | |
|
|
383 | "source": "This performs a commutator/anticommutator aware bubble sort algorithm to simplify a circuit.", | |
|
|
384 | "cell_type": "markdown" | |
|
|
385 | }, | |
|
|
386 | { | |
|
|
387 | "cell_type": "code", | |
|
|
388 | "language": "python", | |
|
|
389 | "outputs": [ | |
|
|
390 | { | |
|
|
391 | "output_type": "pyout", | |
|
|
392 | "latex": "$$H_{0} CNOT_{0,1} X_{0}$$", | |
|
|
393 | "prompt_number": 17, | |
|
|
394 | "png": "iVBORw0KGgoAAAANSUhEUgAAAHwAAAAcCAYAAACj6tvkAAAABHNCSVQICAgIfAhkiAAABdBJREFU\naIHtmn/M1XMUx19XJZUk/ZCSJ0srNfkRssikYSE/VhtbTRqNUiykZGjUWqboMT8TocaDWIZEqIgo\nU37l8atFtSzL76bE9cf7fHe/9/N8vt/vvc/9Pqrd+97u7nPPOd9zzufX+Zxzvg9UUAHwIvAlkAX+\nBtYCc4xXBbwNbDb+b8Bq4Joi9DcDhgP3AyuAJcAyYKjxzwImhOTvA1YBu4F/gN4enYuBHebTz8As\nj0wP4GHgOeBR4FWgBjgmws8Rpm8nsAZ4DVhvtF+Apeb7R8C/wFcxY64vFgCbzGbW/h4e4j8Q4u1A\n85ipj6FTTMnsCP7Nxr+kHnpr0QY6A9jf6AcAdwP3An8ApznPtQXWmc2HInRfjjarO+D9gAfteXez\nXIAm6jKPviXAbSEfIbcJxnpsvxnhV6loDHxjdrs6vAywAZgMNCrFyAQzcE4Efwk6ba2L0DkN2AVc\nG8FvhKLF70ATh3cxMAz43PgtPc9fD/RxaBm0uRajTeXDDBSpOoZobVAkcDEXzUt3h34E2lQNhZvM\n7q0OfSZwbhoGXkaL08LDa4JO4doi9I1BDg9PkJsGvOKhzwIOB8aZnjEemSepu8ur0fXTNsbmQNN5\ne4g2Cv9m/xrY6qH3AcbH2CgV7dDVshFFLFCU9UWmorEfugdXRvD7oQmqLlBfL3L3SxKuwD9xwWlr\nBfwJfOrwM8BTDu1O8/PCBJtVJrcwRBtBbmIDdDQ538nvBZyUYKdUPGP2z0fzNCFevHAcb4qnRfBv\nMf6QAvWtNnn3XvahL9DFoR2EkqwAczz6egOTQr87ogi1ieS77UzTtzhB7lKTG5cg11AYYPZrUb6T\nGq4zxatRZup+fjJ+uwJ0HWqyH5TgzyBgZOj3CaZzQYg2DkWeAFNNZnoB+sea7JQEuSAj9lUJ/xeC\n6qkqTaUvoBLoQA+vMQqpXxSoawhysJSEZjp1s9NV6E4LNt0T5Cd6y83ueQXoryE+QQ3wGbCdepY9\nKaAHmvcsuq5SQQbYhmpLH04mvjRycZfJF1Knt8Of9dd4aEF5FITxpx1+0CfomWCzCvUatuLP/AO0\nQbX2Swn6GgqdgOeBzigf2oIOX1FwkxLQBLUF3ol4Jrg3lxdoY6N9bylAdjKa/DCaoQG6qEGn7Srk\nc63D/9G+f02wOR5N3ChU7kWhPzoMKxL0NQRao+bTaOAHNPbDgIvSUD4anYyhEfyFxu8UojUCrkSn\neAbqlAXoZfJ3JNjtib8+HwBcHfHMTNO9CCVeYcw2XlzZciK6nh5L8A1UFmZRhHMRN/44NAXmkz+X\nLpoBzwJHhmh9zZelafgSpP4dIvhbUdcnjJGoQxYYrAW62e8MSv4+AZpH6OwOzEMT4GIKcHTEc91Q\nmN2FJiaM01Ee4rsOQPfhNhQmfbmKizUoAvjCaNz4ozAKHYIsdauSAI1Rb+E4D+9jNHbXTlG+NEUL\n+m0E/1hzcJ5DX0/+CXsEtSQDtEaL/hb5u/lg1D2bTn77MkB7FMLiqoE3gPcieMPQIg0M0ZqjRLIW\nRbNCUIU2j+9EQfL44xC14F1RYhpVa99oz95TH1+q0N20gdwLk5XkulmDgffRiciiu3M5cCrKA3aT\n32qcgnraYbQyJxcBH6KdW42/LdjU7P1l9jYDEz1yoKbK1AgewNnoJc3jqH6fD9xA8gnsQu6lTjDu\nncC7wOuoNITCxx8Fd8EHkeubZ812P+eZuegqCmTWoVymVF8KQhsz2jlEm4hOczmg1PHHhfTUffFl\n6cViO8qEsyFaC6OXA/am8Sf6ksaCZ9FLlPYhWgfg+xR07wvYm8af6EsaCw5qm4YThYEoWSgXxI3/\nKOp2CfeUL6m1CFui1ukyNMDvKK8Fjxt/NfpHD7f/PhglY5PQi6Fl5L8baAhfUoevji4n+MafQa8y\nXRyCwm3wKeRFVKm+FN+LTcDOlPXta/CNP4v/9WxDJ3XlvhZ7DP1Rw6qCMkHaUbSCCiqooIIKKihD\n/AdptX/0ndrekwAAAABJRU5ErkJggg==\n", | |
|
|
395 | "text": "H \u22c5CNOT \u22c5X \n 0 0,1 0" | |
|
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396 | } | |
|
|
397 | ], | |
|
|
398 | "collapsed": false, | |
|
|
399 | "prompt_number": 17, | |
|
|
400 | "input": "gate_simp(c)\n" | |
|
|
401 | }, | |
|
|
402 | { | |
|
|
403 | "cell_type": "code", | |
|
|
404 | "language": "python", | |
|
|
405 | "outputs": [ | |
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|
406 | { | |
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407 | "output_type": "pyout", | |
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|
408 | "prompt_number": 18, | |
|
|
409 | "text": "<sympy.physics.quantum.circuitplot.CircuitPlot object at 0x3da1990>" | |
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410 | }, | |
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|
411 | { | |
|
|
412 | "output_type": "display_data", | |
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413 | "png": "iVBORw0KGgoAAAANSUhEUgAAANcAAACOCAYAAACi/J2KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSAnjIlLCuIiU/A99uOsAb0dipwAAAABJRU5ErkJggg==\n" | |
|
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414 | } | |
|
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415 | ], | |
|
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416 | "collapsed": false, | |
|
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417 | "prompt_number": 18, | |
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418 | "input": "circuit_plot(gate_simp(c),nqubits=2)" | |
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419 | } | |
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420 | ] | |
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421 | } | |
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422 | ] | |
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423 | } No newline at end of file | |
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| @@ -1,932 +1,200 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>dos</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 | <codecell> | |
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9 | <input>from sympy import * | |
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10 | import numpy as np | |
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11 | import math</input> | |
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12 | <language>python</language> | |
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13 | <prompt_number>1</prompt_number> | |
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14 | <collapsed>1</collapsed> | |
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15 | <outputs /> | |
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16 | </codecell> | |
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17 | <markdowncell> | |
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18 | <source><h2>Strutinsky Energy Averaging Method</h2></source> | |
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19 | </markdowncell> | |
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20 | <markdowncell> | |
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21 | <source>Define a callable class for computing the smooth part of the density of states $\tilde{g}_m(E)$ with curvature | |
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22 | correction of order $2M$.</source> | |
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23 | </markdowncell> | |
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24 | <codecell> | |
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25 | <input>class SmoothDOS(object): | |
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26 | ||
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27 | def __init__(self, energies): | |
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28 | self.energies = energies | |
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29 | ||
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30 | def gaussian_smoothing_func(self, M, x): | |
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31 | return (mpmath.laguerre(M,0.5,x**2)*exp(-x**2)/sqrt(pi)).evalf() | |
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32 | ||
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33 | def __call__(self, e, M=3, gamma=1.0): | |
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34 | return sum(self.gaussian_smoothing_func(M, (e-ei)/gamma)/gamma for ei in self.energies)</input> | |
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35 | <language>python</language> | |
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36 | <prompt_number>2</prompt_number> | |
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37 | <collapsed>1</collapsed> | |
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38 | <outputs /> | |
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39 | </codecell> | |
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40 | <codecell> | |
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41 | <input>def avgf(M, x): | |
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42 | return (mpmath.laguerre(M,0.5,x**2)*exp(-x**2)/sqrt(pi)).evalf()</input> | |
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43 | <language>python</language> | |
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44 | <prompt_number>3</prompt_number> | |
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45 | <collapsed>1</collapsed> | |
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46 | <outputs /> | |
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47 | </codecell> | |
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48 | <codecell> | |
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49 | <input>def smooth_dos(gamma, M, e, energies): | |
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50 | return sum(avgf(M, (e-ei)/gamma)/gamma for ei in energies)</input> | |
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51 | <language>python</language> | |
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52 | <prompt_number>4</prompt_number> | |
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53 | <collapsed>1</collapsed> | |
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54 |
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55 | </codecell> | |
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56 | <markdowncell> | |
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57 | <source><h2>1D Simple Harmonic Oscillator DOS</h2></source> | |
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58 | </markdowncell> | |
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59 | <codecell> | |
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60 | <input>def sho_smooth_dos(e): | |
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61 | """Compute the exact smooth DOS.""" | |
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62 | return 1</input> | |
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63 | <language>python</language> | |
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64 | <prompt_number>5</prompt_number> | |
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65 | <collapsed>1</collapsed> | |
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66 | <outputs /> | |
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67 | </codecell> | |
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68 | <codecell> | |
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69 | <input>def sho_spectrum(nmax): | |
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70 | """Compute the first nmax energies of the 1D SHO.""" | |
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71 | return [n+0.5 for n in range(nmax)]</input> | |
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72 | <language>python</language> | |
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73 | <prompt_number>6</prompt_number> | |
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74 | <collapsed>1</collapsed> | |
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75 | <outputs /> | |
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76 | </codecell> | |
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77 | <codecell> | |
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78 | <input>sho_evalues = np.linspace(0.0,20,100)</input> | |
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79 | <language>python</language> | |
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80 | <prompt_number>7</prompt_number> | |
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81 | <collapsed>1</collapsed> | |
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82 | <outputs /> | |
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83 | </codecell> | |
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84 | <codecell> | |
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85 | <input>sho_dos = SmoothDOS(sho_spectrum(30))</input> | |
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86 | <language>python</language> | |
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87 | <prompt_number>8</prompt_number> | |
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88 | <collapsed>1</collapsed> | |
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89 | <outputs /> | |
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90 | </codecell> | |
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91 | <codecell> | |
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92 | <input>sho_exact_dos = [sho_smooth_dos(e) for e in sho_evalues]</input> | |
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93 |
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94 | <prompt_number>10</prompt_number> | |
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95 | <collapsed>0</collapsed> | |
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96 | <outputs /> | |
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97 | </codecell> | |
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98 | <codecell> | |
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99 | <input>sho_approx_dos = [sho_dos(e,M=3,gamma=10.0) for e in sho_evalues]</input> | |
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100 | <language>python</language> | |
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101 | <prompt_number>23</prompt_number> | |
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102 | <collapsed>1</collapsed> | |
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103 | <outputs /> | |
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104 | </codecell> | |
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105 | <codecell> | |
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106 | <input>plot(sho_evalues, sho_exact_dos, label="exact") | |
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107 | plot(sho_evalues, sho_approx_dos, label="approx") | |
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108 | title("Smooth part of the DOS for the 1D SHO") | |
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109 | xlabel("Energy"); ylabel("$g(E)$") | |
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110 | legend(loc=4)</input> | |
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111 | <language>python</language> | |
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112 | <prompt_number>24</prompt_number> | |
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113 | <collapsed>0</collapsed> | |
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114 | <outputs> | |
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115 | <output> | |
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116 | <output_type>pyout</output_type> | |
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117 | <text>&lt;matplotlib.legend.Legend at 0x7f1790f77990&gt;</text> | |
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118 | <prompt_number>24</prompt_number> | |
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119 | </output> | |
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120 |
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121 | <output_type>display_data</output_type> | |
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122 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVlvQUFBRWFDQVlBQUFBUEdCQlRBQUFBQkhOQ1NWUUlD | |
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124 | V24vQi9EUGFaSDJSWW1VUXRHK1NCSlNtcHJNaEJoamlRcVowU3kyCjhZelo4Rmllc1QyTVpZeWxN | |
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126 | OXoKbk8rNXJ2czY5ODFqakRFUVFnZ2hUWkRpT2dBaGhCRFJSb1dDRUVKSXM2aFFFRUlJYVJZVkNr | |
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128 | TzMzMzVyMFRKU1VsSzRmLzkrT3lkclgrZlBuOGVJRVNPZ3JLeU1sSlNVCmR0bUdKQnduMGpwVUtE | |
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129 | aDIvZnAxZlA3NTU5RFQwME8zYnQwd2ZQaHdKQ1ltZG1pR3JLd3NTRWxKUVNBUWRPaDJtK1BzN0l6 | |
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130 | ZHUzZS8KOC9MNzl1MkRxcW9xQ2dzTE1XZk9uRFpmZjNOZUhrOWxaV1dvcWFsaHdJQUJtREJoQXE1 | |
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131 | ZnYvN0d2TWVQSDRlRGd3UFUxTlJnYkd5TQpiNy85RmpVMU5jTHBsWldWV0xseUpRWVBIZ3dWRlJV | |
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132 | TUdEQUE2OWF0YTNMYnExZXZocCtmSDhyS3ltQmxaZlhlKzlLZXh3a0FacytlCkRXTmpZMGhMU3lN | |
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487 | Q0FmaDhQdVRrNUpDUWtJQUZDeGJnOHVYTHd1bWpSbzNDMHFWTE1XellNQTVURXZJbWFsRVEwa0Vx | |
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488 | S3lzeApjdVJJVkZkWG8zLy8vdmpsbDE4QUFNWEZ4Umc2ZENpY25aMnBTQkNSUkMwS1FnZ2h6YUtU | |
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489 | MllRUVFwcEZoWUlRUWtpenFGQVFRZ2hwCkZoVUtRZ2doemFKQ1FRZ2hwRmxVS0FnaGhEVHIvd0NB | |
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490 | VnZqbFk2d1Y4Z0FBQUFCSlJVNUVya0pnZ2c9PQo= | |
|
|
491 | </png> | |
|
|
492 | </output> | |
|
|
493 | </outputs> | |
|
|
494 | </codecell> | |
|
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495 | <markdowncell> | |
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|
496 | <source>Note how the exact smoothed DOS and the Strutinsky approximation agree once the energy is away from | |
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|
497 | 0. In general, these are edge effects and are also present at the right limit if you don't use enough energy | |
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|
498 | levels. Here we have used 30, so the right side doesn't show these artifacts.</source> | |
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|
499 | </markdowncell> | |
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|
500 | <markdowncell> | |
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|
501 | <source><h2>1D Particle in a BOX (PIAB) DOS</h2></source> | |
|
|
502 | </markdowncell> | |
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|
503 | <codecell> | |
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|
504 | <input>def piab_smooth_dos(e): | |
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|
505 | """Compute the exact smooth DOS.""" | |
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|
506 | return 1.0/(2.0*math.sqrt(e*math.pi**2/2))</input> | |
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|
507 | <language>python</language> | |
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508 | <prompt_number>16</prompt_number> | |
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|
509 | <collapsed>1</collapsed> | |
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|
510 | <outputs /> | |
|
|
511 | </codecell> | |
|
|
512 | <codecell> | |
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|
513 | <input>def piab_spectrum(nmax): | |
|
|
514 | """Compute the first nmax energies of the 1D PIAB.""" | |
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|
515 | return [0.5*math.pi**2*(n+1)**2 for n in range(nmax)]</input> | |
|
|
516 | <language>python</language> | |
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|
517 | <prompt_number>17</prompt_number> | |
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|
518 | <collapsed>1</collapsed> | |
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|
519 | <outputs /> | |
|
|
520 | </codecell> | |
|
|
521 | <codecell> | |
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|
522 | <input>piab_evalues = linspace(1.0,1000.0,100)</input> | |
|
|
523 | <language>python</language> | |
|
|
524 | <prompt_number>18</prompt_number> | |
|
|
525 | <collapsed>1</collapsed> | |
|
|
526 | <outputs /> | |
|
|
527 | </codecell> | |
|
|
528 | <codecell> | |
|
|
529 | <input>piab_dos = SmoothDOS(piab_spectrum(20))</input> | |
|
|
530 | <language>python</language> | |
|
|
531 | <prompt_number>19</prompt_number> | |
|
|
532 | <collapsed>1</collapsed> | |
|
|
533 | <outputs /> | |
|
|
534 | </codecell> | |
|
|
535 | <codecell> | |
|
|
536 | <input>piab_exact_dos = [piab_smooth_dos(e) for e in piab_evalues]</input> | |
|
|
537 | <language>python</language> | |
|
|
538 | <prompt_number>20</prompt_number> | |
|
|
539 | <collapsed>1</collapsed> | |
|
|
540 | <outputs /> | |
|
|
541 | </codecell> | |
|
|
542 | <codecell> | |
|
|
543 | <input>piab_approx_dos = [piab_dos(e, M=4, gamma=150.0) for e in piab_evalues]</input> | |
|
|
544 | <language>python</language> | |
|
|
545 | <prompt_number>21</prompt_number> | |
|
|
546 | <collapsed>1</collapsed> | |
|
|
547 | <outputs /> | |
|
|
548 | </codecell> | |
|
|
549 | <codecell> | |
|
|
550 | <input>plot(piab_evalues, piab_exact_dos, label="exact") | |
|
|
551 | plot(piab_evalues, piab_approx_dos, label="approx") | |
|
|
552 | title("Smooth part of the DOS for the 1D PIAB") | |
|
|
553 | xlabel("Energy"); ylabel("$g(E)$") | |
|
|
554 | legend(loc=1)</input> | |
|
|
555 | <language>python</language> | |
|
|
556 | <prompt_number>22</prompt_number> | |
|
|
557 | <collapsed>0</collapsed> | |
|
|
558 | <outputs> | |
|
|
559 | <output> | |
|
|
560 | <output_type>pyout</output_type> | |
|
|
561 | <text>&lt;matplotlib.legend.Legend at 0x6107410&gt;</text> | |
|
|
562 | <prompt_number>22</prompt_number> | |
|
|
563 | </output> | |
|
|
564 | <output> | |
|
|
565 | <output_type>display_data</output_type> | |
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661 | T25UcHpGdzRFQ0VoWVdoU1pNbTVjcVo0cGtjUkVTV3lGaEhoa3plY3drTkRjV1pNMmNNCm56TXpN | |
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663 | SytUL1BtelRON0hlcksKeExaZ1c3QXRIajBaazhuRHBleGNTbkp5TXJLeXNwQ1FrUERRM1VtdlhM | |
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664 | bUNZY09HWWZQbXplV2VybGRjWEd5NFcyOU9UZzUyN2RxRgovdjM3bTY3eVJFUlVMV1k1TExaczJU | |
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665 | TEV4c1pDclZaanlwUXBjSGQzUjF4Y0hBQWdOallXQ3hjdXhLMWJ0d3lQSVZVb0ZFaExTME4yCmRq | |
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666 | YUdEaDBLQUdqWXNDRm16SmhSNGJPdmlZakl2Q3p5SWtwSmtvemV4WHRhSlNZbUlqSXkwdHpWcUJQ | |
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667 | WUZ2ZXdMZTVoVzl4anpOOU8KaGdzUkVRRXc3bTlublI0dFJrUUVBRzV1YnJoOSs3YTVxMkV4WEYx | |
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668 | ZGNldldyVnJkQm5zdVJGVG44ZCswY1ZYV25zWnNaOTRWbVlpSQpqSTdoUWtSRVJzZHdJU0lpbzJP | |
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669 | NEVCRTlKVjU5OVZXOCsrNjc1cTVHdFRCY2lJakk2Qmd1UkVSUDRQYnQyMWkyYkJuYXRtMkw1NTU3 | |
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670 | CkRydDM3OGF0VzdmZzdlMk5uMzc2Q1FCUVdGZ0lQejgvYk5xMENRQ3dZOGNPaElTRXdOblpHWDM3 | |
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671 | OXNYR2pSdkxyZlBzMmJPWU9YTW0Kdkx5ODBLeFpNMnpZc0FHclY2L0dsaTFiOEs5Ly9RdU9qbzRZ | |
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672 | UEhpd3lmZTFKamdVbVlqcXZMcjhiM3JvMEtIdzl2Ykc3Tm16Y2U3YwpPWXdZTVFKSlNVbTRkT2tT | |
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673 | Um84ZWpaTW5UMkwyN05uSXk4dkROOTk4QXdCSVNrcUN1N3M3L1AzOXNXZlBIZ3dmUGh6SGp4K0hu | |
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674 | NThmCk5Cb05talJwZ2xtelptSDgrUEVRUXVDUFAvNUFVRkFRL3ZyWHY4TGIyeHNMRnk1OG9qcWJZ | |
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675 | aWd5TDZJa0lucE1CUVVGU0VsSndlYk4KbTJGblo0ZkdqUnRqK1BEaDJMNTlPMmJPbkluaHc0Y2pL | |
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676 | aW9LZCs3Y3djbVRKdzNsZXZYcVpYZ2ZIUjJOd1lNSDQ0Y2Zmc0NNR1RPUQprSkFBTHk4dnpKbzF5 | |
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677 | N0RNL1UvZXJhc2greUNHQ3hGWkJHTTl4cWttdjkwSER4NUVUazRPbWpadGF2aE9xOVdpZCsvZW1E | |
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678 | bHpKc2FQCkg0OVBQLzBVYytiTWdhdXJxMkdaek14TWZQVFJSemg4K0RDeXM3T2hVcWtnaytuUFV1 | |
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679 | emZ2eDlkdTNhdGRKdFB5L09xZU02RmlDeUMKRU1hWmFpSWlJZ0llSGg2NGZ2MDZidCsramR1M2J5 | |
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680 | TS9QeDgvL1BBRHRGb3RKa3lZZ05HalIyUGx5cFg0L2ZmZkRlWGVldXN0ZUhsNQpJU2twQ1hsNWVS | |
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681 | ZzJiSmloUnhJVkZZVkRodzVWdUQyNVhBNmRUdmZZYldSS0RCY2lvc2ZrNHVLQzd0MjdZL2JzMmJo | |
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682 | OCtUSzBXaTErCisrMDNwS2VuWTlHaVJaREw1VmkzYmgxbXpweUowYU5IRzRMaDJyVnJjSGQzaDdP | |
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683 | ek0rTGo0OHM5c3IxUG56NjRkdTBhUHZyb0k5eTYKZFFzM2I5NUVSa1lHQUtCVHAwNDRlZklrTkJx | |
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684 | TldmYTNKaGd1UkVSUDRJc3Z2b0NQanc5ZWZQRkZlSGg0WU1LRUNkaS9meitXTFZ1RwpqUnMzUXBJ | |
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685 | a3ZQMzIyNUFrQ1I5KytDRUE0T09QUDhZMzMzeURaczJhNGV1dnZ6WTh1d29Bckt5c2NPREFBVnk5 | |
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686 | ZWhWdDI3WkZTRWlJCjRYek5vRUdESUpQSjhNd3p6eGllYlZWWGNiUVlFZFY1L0RkdFhMeHg1Uk5R | |
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687 | cWN4ZEF5S2krc3RpdzBXcE5IY05pSWpxTDRzTkYvWmMKaUlqTWgrRkNSRVJHeDNBaElpS2pZN2dR | |
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688 | RVpIUk1WeUlpTWpvTERaY09GcU1pTWg4TERaYzJITWhJaklmaGdzUkVSa2R3NFdJcUk1NwpHbTVV | |
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689 | K1NDR0N4SFJFL2pnZ3cvZzUrZUhoZzBiNHBWWFhzR0JBd2NBQU92WHIwZjM3dDB4ZCs1Y05HM2FG | |
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690 | QysvL0RKT256NXRLQmNaCkdZbjMzMzhmVVZGUjhQTHl3Z2NmZklDaW9pSUFRRlpXRm1ReUdiNzk5 | |
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691 | bHUwYTljT2ZmdjJCUURFeDhlamI5KythTisrUGI3NDRnc1UKRnhjREFBWU1HSUMzM25yTHNPNFJJ | |
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692 | MFpnM0xoeHBtcUNDbG5zdzhJWUxrUmtDbjUrZmpoNDhDQ2NuWjN4eFJkZllPVElrZmpqano4QQpB | |
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693 | R2xwYWVqU3BRc3lNakt3ZHUxYTlPblRCMWV2WGpXVS9mVFRUN0ZxMVNvRUJnWWlOallXZVhsNVdM | |
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694 | eDRzV0grbGkxYkVCOGZqMmVlCmVRYjc5Ky9INU1tVHNXYk5Hdmo0K09DTk45NUFkblkyNXMrZmo3 | |
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695 | VnIxNkpEaHc0WU1HQUFybDI3aHFOSGp4cHUwMjgyd2dJQkVQLysKdDdsclFVVEc4clQ4Vk9sME91 | |
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696 | SHQ3UzJPSGowcTFxMWJKMnhzYkVSSlNZbGhmdE9tVGNXeFk4ZUVFRUwwNnRWTGpCbzF5akJ2MTY1 | |
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697 | ZApvbDI3ZGtJSUlTNWR1aVFrU1JMSnljbUcrVk9tVEJIdnZQT080WE5DUW9MbzBLR0Q0Zk8yYmR1 | |
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698 | RWw1ZVhjSGQzRjRjT0hYcGtQU3RyClQyTzJzOFgyWERnVW1haCtrUllZNS9HL1lsN05iamtmSHgr | |
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699 | UDlldlhJeVVsQlNVbEpTZ3NMRVJHUmdaa01obGF0V29GVzF0Ync3SWgKSVNFNGN1UUlPbmJzQ0Vt | |
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700 | U0VCd2NYRzVlWm1hbTRkQVlBSVNIaHh2ZUh6NThHSC8vKzk4Tm56dDE2b1JmZi8wVkJRVUZjSFIw | |
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701 | eFBQUApQNDlKa3liQjM5Ly9rWTlKTmhXTERSY2VGaU9xWDJvYUNzWlFWRlNFOGVQSFk5V3FWVmkv | |
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702 | ZmowY0hSM1J2SGx6dy96ejU4K2pwS1FFCmRuWjJBSUFUSjA1ZzRjS0Yrdm9LZ1JNblRoaVdQWDc4 | |
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703 | T05xMmJRc0hCd2ZrNU9RQTBEODRyRXkzYnQxdzlPaFJEQnMyREFCdzlPaFIKdEcvZkhvNk9qZ0NB | |
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704 | T1hQbUlEQXdFRmxaV2RpNmRTdEdqQmhSdXp0ZkJaN1FKeUo2VEFVRkJTZ3NMSVNucHlkME9oMFdM | |
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705 | MTZNYTlldQpHUjY0cGRQcE1HL2VQT1RrNUdESmtpVUFnSTRkT3hySzc5MjdGenQyN01ERml4Zngw | |
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706 | VWNmWWVEQWdaVnVhL0Rnd2ZqNjY2K3hiOTgrClhMaHdBVXVXTE1FTEw3d0FBRWhPVHNiNjlldngx | |
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707 | VmRmWWYzNjlaZzhlVEt1WGJ0V2kzdGVOWVlMRWRGamF0S2tDUll2WG94Um8wWWgKS0NnSUtwVUsz | |
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708 | YnQzaHlSSmtDUUo0ZUhoVUNnVUNBb0tRbnA2T25idjNtMG9LMGtTSms2Y2lLVkxsNkpIang3bzNi | |
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|
709 | czM1c3laVTI3KwovU0lqSS9ISko1OWcwYUpGR0RKa0NBWVBIb3haczJZaFB6OGZZOGFNd2NxVksr | |
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|
710 | SHA2WW51M2J0ajNMaHhHRHQyck1uYW9TSVcrNWpqCmYvMUxZT1pNYzllRWlJemhhWHpNOGZyMTY3 | |
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|
711 | Rm16UnJEME9RSDllN2RHNk5HalRKTENGanNZNDZUazVNUkVCQ0FWcTFhWWNXS0ZRL04KMzd4NU00 | |
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|
712 | S0NnaEFVRklTUkkwZmkzTGx6MVM1YmhqMFhJcXJybnJiQXJBbXpoTXZVcVZNUkZ4ZUhQWHYyWU9Y | |
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713 | S2xjak56UzAzdjBXTApGa2hPVGtaR1JnYWlvNlB4ejMvK3M5cGx5M0MwR0JHWlU5bWhzYXFXc1ZR | |
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714 | bUQ1ZTh2RHdBUU0rZVBlSGo0NE4rL2ZvaE5UVzEzRElSCkVSRndkbllHb0wveU5Da3BxZHBseTdE | |
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715 | blFrVG1OR2JNR0NRbkoxYzZmLy8rL1dZL0wxS2JUQjR1NmVucDhQZjNOM3dPREF4RVNrcEsKcGN1 | |
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716 | dldyWEtNSUtpSm1VWkxrUkU1bE9ucjNQWnMyY1BObTNhaE1PSEQ5ZTQ3TUdEOHpGL3Z2NTlaR1Fr | |
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717 | SWlNampWazFJcUtuWG1KaQpJaElURTJ0bDNTWWZMWmFYbDRmSXlFakR4VU9USjA5Ry8vNzlNV0RB | |
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718 | Z0hMTG5UeDVFa09IRHNYUFAvOE1QeisvR3BXVkpBbmp4d3VzCldtV0NIU0tpV3ZjMGpoYXJ5eXh5 | |
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719 | dEZqWnVaVGs1R1JrWldVaElTR2gzQzBPQU9ES2xTc1lObXdZTm0vZWJBaVc2cFl0dzhOaVJFVG0K | |
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|
720 | WTViRFlzdVdMVU5zYkN6VWFqV21USmtDZDNkM3hNWEZBUUJpWTJPeGNPRkMzTHAxQzYrLy9qb0FR | |
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721 | S0ZRSUMwdHJkS3lGV0c0RUZrTwpWMWRYaXg1WlpXcXVycTYxdmcyTHZZaHk2RkNCYmR2TVhSTWlv | |
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722 | cWZIVTMxWXpGVFljeUVpTWgrR0N4RVJHUjNEaFlpSWpJN2hRa1JFClJzZHdJU0lpbzJPNEVCR1Iw | |
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723 | VmxzdVBDdXlFUkU1bU94NGNLZUN4R1IrVEJjaUlqSTZCZ3VSRVJrZEF3WElpSXlPb1lMRVJFWkhj | |
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724 | T0YKaUlpTXptTERSYWNEdEZwejE0S0lxSDZ5MkhDeHNXSHZoWWpJWEN3MlhLeXRHUzVFUk9iQ2ND | |
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725 | RWlJcU5qdUJBUmtkRXhYSWlJeU9nWQpMa1JFWkhRV0d5NDJOcnd6TWhHUnVWaHN1TERuUWtSa1Bn | |
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726 | d1hJaUl5T29ZTEVSRVpIY09GaUlpTWp1RkNSRVJHeDNBaElpS2pzOWh3CjRWQmtJaUx6c2Rod1lj | |
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|
727 | K0ZpTWg4R0M1RVJHUjBEQmNpSWpJNmhnc1JFUmtkdzRXSWlJeU80VUpFUkVabnNlSENvY2hFUk9a | |
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728 | anNlSEMKbmdzUmtmbVlKVnlTazVNUkVCQ0FWcTFhWWNXS0ZRL05QM1BtRENJaUltQnJhNHVQUC82 | |
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|
729 | NDNEeGZYMTkwNk5BQklTRWhDQXNMcTNRYgpEQmNpSXZPeE1zZEdwMDZkaXJpNE9QajQrQ0E2T2hv | |
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|
730 | eE1URndkM2MzekcvWXNDRldyRmlCNzcvLy9xR3lraVFoTVRFUmJtNXVqOXdHCnc0V0l5SHhNM25Q | |
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731 | Snk4c0RBUFRzMlJNK1BqN28xNjhmVWxOVHl5M2o0ZUdCenAwN1E2RlFWTGdPSVVTVjIyRzRFQkda | |
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732 | ajhuREpUMDkKSGY3Ky9vYlBnWUdCU0VsSnFYWjVTWklRRlJXRklVT0dJRDQrdnRMbEdDNUVST1pq | |
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|
733 | bHNOaVQrTFFvVVB3OVBURTZkT25NWERnUUlTRgpoYUZKa3lZUExmZmpqL054K2pRd2Z6NFFHUm1K | |
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734 | eU1oSWs5ZVZpS2d1UzB4TVJHSmlZcTJzV3hMVk9jWmtSSGw1ZVlpTWpNU0pFeWNBCkFKTW5UMGIv | |
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|
735 | L3YweFlNQ0FoNVpkc0dBQkdqUm9nQmt6WmxTNHJ1blRweU1nSUFEang0OHY5NzBrU2ZqdU80R05H | |
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|
736 | NEh0MjQyL0QwUkUKbGtpU3BHcWRkcWdPa3g4V2MzWjJCcUFmTVphVmxZV0VoQVNFaDRkWHVPeURP | |
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|
737 | MWxjWEl5Q2dnSUFRRTVPRG5idDJvWCsvZnRYV0phSAp4WWlJek1jc2g4V1dMVnVHMk5oWXFOVnFU | |
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|
738 | Smt5QmU3dTdvaUxpd01BeE1iR0lqczdHNkdob2NqUHo0ZE1Kc1B5NWN0eDZ0UXAzTGh4CkEwT0hE | |
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739 | Z1dnSDFFMlk4WU1lSHQ3VjdnTmhnc1JrZm1ZL0xDWUtlaUhLd3Y4NHg5QVVwSzVhME5FOUhSNHFn | |
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|
740 | K0xtUXA3TGtSRTVzTncKSVNJaW83UFljT0dOSzRtSXpNZGl3NFU5RnlJaTgyRzRFQkdSMFRGY2lJ | |
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741 | akk2Qmd1UkVSa2RBd1hJaUl5T29zTkZ4c2JoZ3NSa2JsVQorL1l2YXJVYS8vM3ZmeEVmSHcrbFVn | |
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|
742 | bTVYSTZDZ2dKNGVIZ2dPam9hTDd6d0FpUkpxczI2MW9oQ29ROFhJWUE2VkMwaW9ucWhXcmQvClNV | |
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743 | bEp3UTgvL0lDWW1CaTBhZE1HTmpZMmhubUZoWVg0OWRkZjhmWFhYMlBzMkxFSURnNnUxUXBYUjlr | |
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744 | dERCUUtvTGhZSHpSRVJQUm8KeHJ6OVM1WGhvbFFxY2Zic1dYVG8wS0hLbGFXa3BLQkxseTVHcWRp | |
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|
745 | VEtHc2dCd2ZneGczQXdjSGNOU0lpcXZ0TUdpNkEvdGIzZGVtUQpWMVhLR3NqVkZiaDRFWEIxTlhl | |
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746 | TmlJanFQcFBmdUxKdDI3YjQvdnZ2OGIvLy9ROEFjT1BHRGV6ZXZSdWxwYVZHcVVSdDRZZ3hJaUx6 | |
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747 | CnFGYTR4TWJHWXNpUUlYQnpjd01BTkdyVUNOMjZkY1BHalJ2eDZxdXYxbWI5bmdqRGhZaklQS29W | |
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748 | TGcwYU5BQUFKQ1Vsb1UrZlB2anEKcTY4Z1NSSW1USmdBT3p1N1dxM2drK0J3WkNJaTg2aldVT1N6 | |
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749 | Wjg5Q3FWU2lYNzkrT0h2MkxFYU5HbVdZVjUwVC9lWmliYzA3SXhNUgptVU8xd21YbnpwM1lzMmNQ | |
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|
750 | N08zdDRlVGtoTWFOR3lNa0pBUitmbjZ3dHJhdTdUbytOaDRXSXlJeWoycU5GanR5NUFnaUlpS1Fu | |
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|
751 | NStQCm8wZVBJaTB0RFdscGFjak16RVJoWVNHdVhyMXFpcnBXVzltSWg3QXc0Tk5QZ2JBd2M5ZUlp | |
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|
752 | S2p1TStab3NXcjFYQ0lpSWdBQVRrNU8KaUlxS1FsUlVsR0hld29VTGpWS1Iyc0NlQ3hHUmVUenh2 | |
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|
753 | Y1dtVEpsaWpIclVDb1lMRVpGNVZCa3VTcVVTSjA2Y3FIUytpNHNMQVAyRgpsanQzN2pSZXpZeUE0 | |
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754 | VUpFWkI1VmhvdU5qUTBrU2NMU3BVdVJuSnhjN3NKSnJWYUxpeGN2WXZ2MjdaZ3laUW9DQWdKcXRi | |
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755 | STF4YUhJClJFVG1VYTBUK21WMjdkcUZ2WHYzSWpjM0YxdTNia1hYcmwzUnRXdFhSRWRIbzF1M2Jy | |
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|
756 | Vlp6eG9wT3lrMWZEancwa3ZBOE9IbXJoRVIKVWQxbjhoUDZaYUtqbzNIbHloVk1tellOQXdjT1JF | |
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757 | SkNBbmJ0Mm9YczdHdzBiOTRjVFpzMk5VcWxqSVdIeFlpSXpLUEdKL1J6YzNQaAo1T1NFRjE1NEFa | |
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758 | OTk5aGttVHB5SVJZc1dZZlhxMWJWUnZ5ZkNjQ0VpTW84YTlWd0FZTXlZTVJnNWNpUjBPaDFhdDI0 | |
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|
759 | Tkd4c2JqQjQ5CnVzNmRid0VZTGtSRTVsTGpjR25hdENuaTQrT1JsWldGTzNmdW9IMzc5cmh4NHdh | |
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|
760 | U2twTHcwa3N2MVVZZEh4dkRoWWpJUEdvY0xtVjgKZlgwTjd4czFhb1NWSzFjYW96NUd4ZEZpUkVU | |
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761 | bThjUVhVZFpsN0xrUUVabUh4WWNMNzRwTVJHUjZGaDh1N0xrUUVaa2V3NFdJaUl5Two0VUpFUkVi | |
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|
762 | ZUR6SzdBQUFab0VsRVFWVEhjQ0VpSXFPejZIRGhVR1FpSXZNd1M3Z2tKeWNqSUNBQXJWcTF3b29W | |
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|
763 | S3g2YWYrYk1HVVJFClJNRFcxaFlmZi94eGpjcmVqejBYSWlMemVPeUxLSi9FMUtsVEVSY1hCeDhm | |
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764 | SDBSSFJ5TW1KZ2J1N3U2RytRMGJOc1NLRlN2dy9mZmYKMTdqcy9UZ1VtWWpJUEV6ZWM4bkx5d01B | |
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|
765 | OU96WkV6NCtQdWpYcng5U1UxUExMZVBoNFlIT25UdERvVkRVdU96OTJITWhJaklQazRkTAplbm82 | |
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766 | L1AzOURaOERBd09Sa3BKU0syVVpMa1JFNW1HV3cyS21NSC8rZkZ5NkJKdzlDeVFtUmlJeU10TGNW | |
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|
767 | U0lpcWxNU0V4T1JtSmhZCksrczJlYmlFaG9aaTVzeVpocytabVpubzM3Ky8wY3ZPbno4ZkJ3OENG | |
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|
768 | eThDekJVaW9vZEZScGIvai9lQ0JRdU10bTZUSHhaemRuWUcKb0IvMWxaV1ZoWVNFQklTSGgxZTQ3 | |
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769 | SU9QMjZ4SldZQ0h4WWlJek1Vc2g4V1dMVnVHMk5oWXFOVnFUSmt5QmU3dTdvaUxpd01BeE1iRwpJ | |
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|
770 | anM3RzZHaG9jalB6NGRNSnNQeTVjdHg2dFFwTkdqUW9NS3lsZUZvTVNJaTg1REVnOTBEQ3lCSkVv | |
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|
771 | UVFPSFVLZVBGRjROUXBjOWVJCmlLanVLL3Z0TkFhTHZrS2ZoOFdJaU15RDRVSkVSRWJIY0NFaUlx | |
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|
772 | T3o2SERoalN1SmlNekRvc09GUFJjaUl2T3crSERoVUdRaUl0T3oKNkhDeHNnSTBHa0NuTTNkTmlJ | |
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|
773 | anFGNHNPRjBuUzkxN1VhblBYaElpb2ZySG9jQUY0M29XSXlCd1lMa1JFWkhRV0h5NGNqa3hFWkhv | |
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|
774 | VwpIeTdzdVJBUm1WNjlDQmNPUnlZaU1xMTZFUzdzdVJBUm1SYkRoWWlJakk3aFFrUkVSbWZ4NGNM | |
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|
775 | UllrUkVwbWZ4NGNLZUN4R1I2VEZjCmlJakk2T3BGdUhBb01oR1JhZFdMY0dIUGhZakl0Qmd1UkVS | |
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|
776 | a2RBd1hJaUl5T29zUGx3WU5nTHc4YzllQ2lLaCtzZmh3YWQ4ZXlNZ3cKZHkySWlPb1hpdytYenAy | |
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|
777 | Qm8wZk5YUXNpb3ZwRkVrSUljMWZDMkNSSlF0bHVxZFdBaXd0dy9icitFQmtSRVZYcy90L09KMlh4 | |
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|
778 | UFJlRgpRbjlvN01RSmM5ZUVpS2orc1Bod0FYaG9qSWpJMUJndVJFUmtkUFVpWERwMVlyZ1FFWm1T | |
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|
779 | eFovUUJ3Q05SbjlTLytwVndOblpqQlVqCklxckRlRUsvaHF5c2dLQWdudFFuSWpLVmVoRXVBTSs3 | |
|
|
780 | RUJHWkVzT0ZpSWlNeml6aGtweWNqSUNBQUxScTFRb3JWcXlvY0psMzNua0gKTFZxMFFLZE9uWERt | |
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781 | ekJuRDk3Nit2dWpRb1FOQ1FrSVFGaFpXN1cweVhJaUlUTWNzSi9SRFFrS3dmUGx5K1BqNElEbzZH | |
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|
782 | Z2NQSG9TNwp1N3RoZmxwYUdxWlBuNDc0K0hqczJyVUxtemR2eGs4Ly9RUUFhTjY4T1k0ZE93WTNO | |
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|
783 | N2RLMTEvUlNTbXRGbkIxQlM1ZjFyOFNFVkY1ClQvVUovYnk3dHlqdTJiTW5mSHg4MEs5ZlA2U21w | |
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|
784 | cFpiSmpVMUZTKysrQ0xjM053UUV4T0QwNmRQbDV2L09Ec3Zsd1BCd2NDeFk0OWYKZHlJaXFoNlRo | |
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|
785 | MHQ2ZWpyOC9mME5ud01EQTVHU2tsSnVtYlMwTkFRR0JobytlM2g0NE9MRml3RDB5Um9WRllVaFE0 | |
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|
786 | WWdQajYrUnR2bQpvVEVpSXRPd01uY0ZLaUtFcUxSM2N1alFJWGg2ZXVMMDZkTVlPSEFnd3NMQzBL | |
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787 | UkprNGVXbXo5L3Z1RjlaR1FrSWlNajBia3o4TjEzCnRWVnJJcUtuUzJKaUloSVRFMnRsM1NZLzU1 | |
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|
788 | S1hsNGZJeUVpY3VIdlJ5ZVRKazlHL2YzOE1HRERBc015S0ZTdWcwV2p3NXB0dkFnQmEKdG15SjMz | |
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|
789 | Ly8vYUYxVFo4K0hRRUJBUmcvZm55NTd5czdibmoxS3RDaEEzRHBFdURrWk15OUlpSjYrajNWNTF5 | |
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|
790 | YzcxNGluNXljakt5cwpMQ1FrSkNBOFBMemNNdUhoNGRpMmJSdHUzcnlKTFZ1MklDQWdBQUJRWEZ5 | |
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|
791 | TWdvSUNBRUJPVGc1MjdkcUYvdjM3VjN2Ynp6d0Q5T2tECnJGOXZuSDBoSXFLS21lV3cyTEpseXhB | |
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|
792 | Ykd3dTFXbzBwVTZiQTNkMGRjWEZ4QUlEWTJGaUVoWVdoZS9mdTZOeTVNOXpjM0xCcDB5WUEKUUha | |
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|
793 | Mk5vWU9IUW9BYU5pd0lXYk1tQUZ2Yis4YWJYdmFOR0RVS0dEaVJQMUpmaUlpTXI1NmNXK3grd2tC | |
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|
794 | aEljRGMrY0Nnd2FadUdKRQpSSFhZVTMxWXpOd2tTZDk3V2JiTTNEVWhJckpjOWE3bkFnQXFGZEM4 | |
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|
795 | T2ZEZi8rcHZhRWxFUk95NVBERnJhLzA1bCtYTHpWMFRJaUxMClZDOTdMZ0NRbXd1MGFnWDg5cHQr | |
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|
796 | RkJrUlVYM0hub3NSdUxzRGI3NEpqQmtENkhUbXJnMFJrV1dwdCtFQ0FMTm5BMG9sOE5GSDVxNEoK | |
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|
797 | RVpGbHFiZUh4Y3BjdVFLRWhnSTdkdWp2UFVaRVZGL3hzSmdSTldzR3JGd0p4TVFBZHkvK0p5S2lK | |
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|
798 | MVR2ZXk1bHhvOEhybDhIdnYwVwpzTEdwcFlvUkVkVmh4dXk1MVB0d3lTbkt3Y0VyQjVHVWRSRGY3 | |
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|
799 | RG1QVXBFSEw3ODhxSFNsYU5LZ0NieWN2T0RsNUlWT25wMFE2UnNKCkR3ZVBXcTQ5RVpGNU1GeXFV | |
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|
800 | RlVENVN2enNURmpJMVlmWDQyc08xbUk4SXBBajJZOTROK3dMZUtXdXlEM1QyZkVyYlJGSWJMeFov | |
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|
801 | NmYKdUp4M0dhbFhVNUY4T1JtK0xyNTR6dTg1akFrYWd3Q1BBQlB1RlJGUjdXSzRWS0d5QnZvajd3 | |
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|
802 | OHNQcmdZVzMvYmltZGJQSXUvZGY0YgpldnIwaEZ4Mjd3NldPcDMrQXN1alIvV0h5SHg5NzVYWDZE | |
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|
803 | UTRkdTBZdHAvWmpvMFpHK0h0N0kyeHdXTXhLbWdVN0JYMkp0Z3pJcUxhCnczQ3B3b01OVktvcHhV | |
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|
804 | ZUhQOEluS1o5Z1FxY0ptQlE2Q2M4NFZYN2xwQkRBeHg4REgzNm92d2ZaSzY4OHZJeEdwOEh1MzNk | |
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|
805 | ajFiRlYKT1BMbkVVd01uWWlKb1JQUjBMNWhiZXdTRVZHdFk3aFU0ZjRHMm5sK0p5YitkeUk2ZW5i | |
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|
806 | RVIvMCtncStMYjdYWGMrSUVNSElrMExFagpzR0lGNE9aVzhYSm5jODlpeWVFbCtPNzBkM2l0NDJ0 | |
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|
807 | NHU5dmJEQmtpZXVwd0tISTFLRFZLVFB0NUdsN2Y4VHBXRFZ5Ri83ejBueG9GCkN3Q0VoQURIanVt | |
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|
808 | djVtL1RSdCtiVVNvZlhxNk5leHQ4T2VoTG5IempKQXBWaFdqemFSdk1UNXlQZkdXK2NYYUdpT2dw | |
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|
809 | WTdIaEVyRW0KQWxmeXJ1QkU3QW4wYWRIbnNkZGpiNisvd2VXQkEwQnlNaEFRQUd6YUJLalZEeS9y | |
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|
810 | NWVTRnp3WjhoclR4YWJoMDV4SmFyV2lGVDQ1OApBcVdtZ2tRaUlySmdGbnRZN0xPMHovQjY1OWNo | |
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|
811 | U1pKUjE1MllDQ3hZQVB6K096Qmxpdjc2bUx0UGJuN0liemQrd3p0NzM4RnZOMzdECmU3M2ZRMHo3 | |
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|
812 | R01na2k4MXpJbnJLOFp4TEZZelpRSlU1ZGd4WXVoVFl1Uk40NFFYOURUQzdkd2RrRldSSDh1Vmt6 | |
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|
813 | RXFZaFZKTktSWS8KdXhqOS9mb2JQZlNJaUo0VXc2VUtwZ2lYTXYvN0g3QjVNN0IrUFZCY0RJd1lv | |
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|
814 | UStienAzMVQ3MHNJNFRBOTJlK3greDlzOUhZb1RFVwpQYnNJWGIyN21xU09SRVRWd1hDcGdpbkRw | |
|
|
815 | WXdRd1BIandILytBMnpmRGhRVkFZTUdBZEhSUUdRazRPU2tYMDZqMDJCanhrYjhNL21mCmFOMndO | |
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|
816 | ZWIxbXNlUUlhSTZnZUZTQlhPRXk0Tk9ud2JpNDRHRUJDQTFGUWdPQm5yMUFucjBBQ0lpQUZzSEZU | |
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|
817 | Wm1iTVQ3Qjk2SG41c2YKWm5XZGhUNHQrdkJ3R1JHWkRjT2xDblVoWE81WFhBd2NQS2dmYlhiZ2dQ | |
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|
818 | NThqWjhmRUJZR2RBeFY0VWJqemZqbXo2V1FTUkttUjB6SAppSFlqWUd0bGErNXFFMUU5dzNDcFFs | |
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|
819 | MExsd2NwbFVCR0JwQ1dwcC9TMDRHc3l3TFA5RWhBYWNoUzNMRS9pbWNieGVDTmlMR0k3aEFDCmRt | |
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|
820 | YUl5QlFZTGxXbzYrRlNrZUppNExmZmdGOStBUTZmeWtKUzNnWmNjVnNIS0IzUitQWlFCTnU4Z0M2 | |
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|
821 | K1FXalZTb0tmSDlDeVplVjMKRENBaWVod01seW84amVGU0VaM1E0ZWZNdzloMDlIdnN1Ym9kS3JV | |
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|
822 | T2JuZWVoYmdVaWR5anZTQXY4a2J6NXZxYmEvcjY2aDk4VmpaNQplUUdOR2dGeWVWVmJJU0xTWTdo | |
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|
823 | VXdWTEM1WDVDQ0p6S09ZWDlXZnVSbUpXSTVNdkprRXNLdExBUFFtTVJCTHVDOXREY2FJbUNLeTJR | |
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|
824 | CmZja2RWLytVY1BzMjBLUUo4TXd6UU5PbStzblRVLzlkMmRTNE1lRGhBVmhibTNzUGljamNHQzVW | |
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|
825 | c01Sd2VaQVFBcGZ6TGlNak93TVoKMXpQdzY0MWZjZW4ySlZ5NmN3bEtqUktlanA1b1pOOFlqckpH | |
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|
826 | VUdnYUFxVk8wQlE3UVpudmlKSjhleFRlc1VYQkxUdmszN1pCM20wRgo3SzJ0NGVxc2dJdWpBbTR1 | |
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|
827 | WlpNVkdyb280TzZtZ0llYk5UeGNiZERZM1JxTjNXM1FwS0V0RkFxZURDS3lKQXlYS3RTSGNIbVVm | |
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|
828 | R1UrCnNndXpjYjN3T200VTNVQnVjUzRLVkFYSVYrWWpYNW1QRWswSlNqV2xLRkdYUUtWVlFhVlZv | |
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|
829 | YWhVaFdLbEdpVktOVXJWYWlqVmFxZzAKR3FpMEtxaDFhbWgwYW1paGhFNVNRU2NyQmF4VWdNWUdr | |
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|
830 | dFlXY3AwOUZMQ0hBZzZ3bFRuQVZ0WUFEZ3I5NUdUakNCYzdKN2c2T0tGaApBeWU0T3pxaHNiTXpH | |
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|
831 | cnM0d2NQUkdTNTJ6bkMyY1lhenJUT3NaRmJtYmpxaWVvM2hVb1g2SGk2bW9OSHFrSE5MaGV6Y0Vt | |
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|
832 | VGZMTWFOCk84WEl1Vk9NM0x4QzNDb3N3cTJpQXVTVkZDQ3Z0QUNGcWdJVXF2TlJvc3RIcWNpRFNz | |
|
|
833 | cUhXcDRIWVpNSG1WMGVZSk1IblhVK1pGbzcKS0xUT3NCYk9zSUV6N0dYNnFZSENHUTBVVG5DeTBV | |
|
|
834 | OHU5bzV3dFhlQ200TWozQm80d3QzUkVlNU9EZURoNUFnUDV3WndzTEhsOVVKRQpqNEhoVWdXR3k5 | |
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|
835 | TkJwUUlLQ3ZSVGZyN0E5VHVGdUg3bkRuTHk4NUZibUlmYnhYbTRWWnlIZkdVK0NsUjVLRkRub1VS | |
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|
836 | YmdCSmRBVXBGClBwVEloMW9xaEVaZUFLMjhBRHFySWtCUkNNalZnTm9lTXEwRDVGb0h5SFVPc05J | |
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|
837 | NTNPMWQyY05HWmc5cnlSNjJjbnZZV3RuQnJteFMKMk1GZVlRY0hHenM0V051aGdhMGRIR3hzNFdo | |
|
|
838 | bkIwZGJXemphMmNMUjNoWk9kclp3dExlQms0TU5YQnhzNFdCbkJabU1ZVVpQUDRaTApGUmd1OVpj | |
|
|
839 | UVFHR3hCcmw1UmJoWm9KOXVGeFlocjdnWWQ0cUxrRmRjaEVKbENRcVZ4U2hTbHFCSVZZd1NkUW1L | |
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|
840 | TmNVbzFaUkFxUzJCClVsY0tsYTRFYWxFQ05VcWhRU2swS0lGV1VrSW5sVUluTDRGT3BvU1FLUUdy | |
|
|
841 | VWtEU0FScGJRR3NEU1dzRG1jNEdNcUdmNUdVVGJHQUYKRzFoSitra2hXVU1oczRGQ3BuKzFsbG5E | |
|
|
842 | eHNvRzFuSnJXTXV0WVdObERWc3JHOWdvckdGclphMS9WVmpEenZyZXE1MjFOZXl0cldGdgpjMit5 | |
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|
843 | czFIQTNzWWFEcmIzSmx0ck9jT1Bxb1hoVWdXR0M1bVNScXRGUVlrU2VVV2x5QzlTb3FCRWlZS1NV | |
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|
844 | aFNXS0ZHa1ZLRllxVVNSClVvbGlwUkxGS2lWSzFTcVUzSDFWYWxRb1ZTdWgxS3FnMUNqdm5nTlRR | |
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|
845 | cVZUUWExVFFhMVRRcU5UUXkxVTBBZ2x0RUlOTFZUM0prbWwKUHc4bUtTRWtOWFF5RllTa2hwQXJB | |
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|
846 | Wmtha0tzQW1SYlFXQU02QmFCVFFOSlpROUlwSUFrRlpPTGVxMHdvSUlOK2trTUJHYXdnbHhTUQp3 | |
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|
847 | d3B5eVFveXlRcFdrZ0p5eVFwV3NydnZaVlpReUt6S3ZWckxGYkNTV1VFaFYwQlI5aXJYdjlwWUtX | |
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|
848 | QXRWOERhNnU3NysxOFYrdmMyCkNnVnNGZmUvV3QxOWJ3VnJoZnp1Wnl2WUtPU3dzWmJEU2k1Qm9a | |
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|
849 | QXF2Q001MVF6RHBRb01GNko3dERvZFNwUnFGSmFxVUtKVW8xaXAKUm5HcENpVXFOVXBVYXBTV1RX | |
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|
850 | cjlxMUtqUWFucTdvQU9qUVpLdFJwS2pScHFyZWJ1ZDJxb2RScW9OUnI5ZDFvMXREb3QxRG9OTkRv | |
|
|
851 | MQpORHJOdlVFZ1FuUHZWYWloRldyOUs5VFE0ZUZYbmFTR1RsSkJTQnA5V0VycXUrODFnS1NCa0tr | |
|
|
852 | aEpDMGdhUUdaUnQ5cmxBU2drd0ZDCkRnaFp1VW5DQSs4aFFZSU1rcEFiNWttUTMvMHNod3hXa0Fr | |
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|
853 | cnlLQ0FKS3owQVdzSVhPdUhKaXZKV2greXNJWmNVc0JLc29aQ3B0Qy8KbHludXZwZkRTbVlGdVV3 | |
|
|
854 | T3VVd0d1VXdHbVNTRFhLWVBSSmtNa0dRQ2treEFkdmRWa2dRZzZTREpkUHBYU1FBeUhTUkpCMGtx | |
|
|
855 | S3dQSQpKT2pYSjVOZ0paUGZEWEVyV01tdFlHT2w3d0hieUsxaHA3Q0ZyY0lXZG5jbkIyczcyQ3Zz | |
|
|
856 | NFdCakIzdUZMYXlzOUhWeGRUWGVieWVICjV4QlpPTGxNaGdaMk5taGdaMlB1cXRRS0lRUzBRZ3VO | |
|
|
857 | VmdlMVJnZVZXZ2VsV2d1TlJrQ3QwYi9YYXZYdnkrWnJ0UHBKcGRaQ3JkVkMKcGRGQ3JkRy9WNnIx | |
|
|
858 | UVhvdlVOVlFhZFZRYTlWUWFWVlFhcFZRYTlWUTYxU0cwWllhb2I3YjAxUkJveXVHUnFkR3NTZ0xX | |
|
|
859 | QzIwT2kyMApXZzJFRU5BSkhYUkNDeUh3d0NSQkNBa1FFaUJrRURyWjNjOHlRQ2VERURJSW5YNit6 | |
|
|
860 | bEJHNk5jSkhRUzAwQWt0ZEpMR0VOUkNVa0VuClU5NDlqSHYza0s2OEJFSmVBbUdsZjRWY3BUK2tx | |
|
|
861 | N1kzNnA4TGV5NUVSUFdZVHVoUW9pNUJpYVlFSGc0ZVBDejJLQXdYSXFLYU0rWnYKcDFsT2dTVW5K | |
|
|
862 | eU1nSUFDdFdyWENpaFVyS2x6bW5YZmVRWXNXTGRDcFV5ZWNPWE9tUm1YcG5zVEVSSE5Yb2M1Z1c5 | |
|
|
863 | ekR0cmlIYlZFNwp6Qkl1VTZkT1JWeGNIUGJzMllPVksxY2lOemUzM1B5MHREUWNPSEFBUjQ4ZXhW | |
|
|
864 | dHZ2WVczM25xcjJtV3BQUDdEdVlkdGNRL2I0aDYyClJlMHdlYmprNWVVQkFIcjI3QWtmSHgvMDY5 | |
|
|
865 | Y1BxYW1wNVpaSlRVM0ZpeSsrQ0RjM044VEV4T0QwNmRQVkxrdEVST1puOG5CSlQwK0gKdjcrLzRY | |
|
|
866 | TmdZQ0JTVWxMS0xaT1dsb2JBd0VERFp3OFBEL3orKysvVktrdEVST1pYSjRjaWx3MnZ1MTlON3hY | |
|
|
867 | RmUwdmRzMkRCQW5OWApvYzVnVzl6RHRyaUhiV0Y4SmcrWDBOQlF6Snc1MC9BNU16TVQvZnYzTDdk | |
|
|
868 | TWVIZzRUcDA2aGVqb2FBQkFUazRPV3JSb0FUYzN0eXJMCkF1QklNU0lpTXpQNVlURm5aMmNBK2xG | |
|
|
869 | ZldWbFpTRWhJUUhoNGVMbGx3c1BEc1czYk50eThlUk5idG14QlFFQUFBTURGeGFYS3NrUkUKWkg1 | |
|
|
870 | bU9TeTJiTmt5eE1iR1FxMVdZOHFVS1hCM2QwZGNYQndBSURZMkZtRmhZZWpldlRzNmQrNE1OemMz | |
|
|
871 | Yk5xMDZaRmxpWWlvamhFVwpKQ2twU2ZqNyt3cy9Qei94Zi8vM2YrYXVUcTI3Y3VXS2lJeU1GSUdC | |
|
|
872 | Z2FKWHIxNWk4K2JOUWdnaDh2UHp4YUJCZzRTM3Q3Y1lQSGl3CktDZ29NSlJadm55NThQUHpFd0VC | |
|
|
873 | QWVMQWdRUG1xbnF0MFdnMElqZzRXRHovL1BOQ2lQcmJGb1dGaFdMMDZOR2lWYXRXSWlBZ1FLU2sK | |
|
|
874 | cE5UYnRsaTFhcFdJaUlnUUhUdDJGRk9uVGhWQzFKKy9GMy85NjE5Rm8wYU5STHQyN1F6ZlBjNitu | |
|
|
875 | enAxU29TRWhJam16WnVMMmJObgpWMnZiRmhVdXdjSEJJaWtwU1dSbFpZazJiZHFJbkp3Y2MxZXBW | |
|
|
876 | djN2Zi84VEowNmNFRUlJa1pPVEk1bzNieTd5OC9QRmh4OStLQ1pOCm1pUktTMHZGeElrVHhaSWxT | |
|
|
877 | NFFRUWx5L2ZsMjBhZE5HWEw1OFdTUW1Kb3FRa0JCelZyOVdmUHp4eDJMa3lKRmk0TUNCUWdoUmI5 | |
|
|
878 | dGkKeG93Wll1N2N1YUtrcEVTbzFXcHg1ODZkZXRrV04yL2VGTDYrdnFLd3NGQm90VnJ4M0hQUGla | |
|
|
879 | OS8vcm5ldEVWeWNySTRmdng0dVhCNQpuSDEvN3JubnhOYXRXMFZ1YnE3bzFxMmJTRTlQcjNMYkZu | |
|
|
880 | T1Q2dnA0RFV5VEprMFFIQndNQUhCM2QwZmJ0bTJSbnA2T3RMUTBqQnMzCkRqWTJOaGc3ZHF5aEhW | |
|
|
881 | SlRVOUcvZjM4MGE5WU12WHIxZ2hBQ0JRVUY1dHdGby9yenp6L3gzLy8rRjYrOTlwcGhVRWQ5Yllz | |
|
|
882 | OWUvWmcKOXV6WnNMVzFoWldWRlp5ZG5ldGxXOWpaMlVFSWdieThQSlNVbEtDNHVCZ3VMaTcxcGkx | |
|
|
883 | NjlPZ0JWMWZYY3QvVlpOOExDd3NCQUdmUApuc1hMTDcrTWhnMGJZdWpRb2RYNmJiV1ljS252MThC | |
|
|
884 | Y3VIQUJtWm1aQ0FzTEs5Y1cvdjcrU0V0TEE2RC95MU0yT0FJQTJyUnBZNWhuCkNkNTg4MDBzV2JJ | |
|
|
885 | RXN2c2U3RkVmMitMUFAvOUVhV2twM25qakRZU0hoK1BERHo5RVNVbEp2V3dMT3pzN2ZQNzU1L0Qx | |
|
|
886 | OVVXVEprM1EKclZzM2hJZUgxOHUyS0ZPVGZVOU5UY1dGQ3hmUXFGRWp3L2ZWL1cyMW1IQ3B6d29L | |
|
|
887 | Q3ZEeXl5L2prMDgrUVlNR0RXbzBGTnRTcmdmNgo2YWVmMEtoUkk0U0VoSlRiLy9yWUZxV2xwVGgz | |
|
|
888 | N2h5R0RSdUd4TVJFWkdabTRwdHZ2cW1YYlpHVGs0TTMzbmdEcDA2ZFFsWldGbzRjCk9ZS2ZmdnFw | |
|
|
889 | WHJaRm1TZmQ5K3FXdDVod0NRME5MWGVEeTh6TVRIVHAwc1dNTlRJTnRWcU5ZY09HWWRTb1VSZzhl | |
|
|
890 | REFBZlZ1VTNUTG4KOU9uVENBME5CWER2K3FFeVo4NmNNY3g3MmgwK2ZCang4ZkZvM3J3NVltSmlz | |
|
|
891 | Ry9mUG93YU5hcGV0b1dmbngvYXRHbURnUU1Id3M3TwpEakV4TWZqNTU1L3JaVnVrcGFXaFM1Y3U4 | |
|
|
892 | UFB6UThPR0RURjgrSEFjT0hDZ1hyWkZtWnJ1dTUrZkg2NWZ2Mjc0L3RTcFU5WDZiYldZCmNLbk85 | |
|
|
893 | VE9XUmdpQmNlUEdvVjI3ZHBnMmJacmgrL0R3Y0t4ZHV4WWxKU1ZZdTNhdDRTOUNXRmdZZHUzYWhT | |
|
|
894 | dFhyaUF4TVJFeW1ReU8Kam83bXFyNVJMVnEwQ0gvODhRY3VYYnFFclZ1M0lpb3FDbDk5OVZXOWJB | |
|
|
895 | c0FhTldxRlZKVFU2SFQ2YkJqeHc3MDZkT25YclpGang0OQpjUFRvVWR5NmRRdEtwUkk3ZCs1RXYz | |
|
|
896 | Nzk2bVZibEhtY2ZmZjM5OGZXclZ1Um01dUw3ZHUzVisrMzFRZ0RFdXFNeE1SRTRlL3ZMMXEyCmJD | |
|
|
897 | bVdMMTl1N3VyVXVnTUhEZ2hKa2tSUVVKQUlEZzRXd2NIQll1Zk9uWThjYXJoczJUTFJzbVZMRVJB | |
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918 | Uks1Q1lJST0K | |
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919 | </png> | |
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920 | </output> | |
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921 | </outputs> | |
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922 | </codecell> | |
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923 | <codecell> | |
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924 | <input /> | |
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925 | <language>python</language> | |
|
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926 | <collapsed>1</collapsed> | |
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927 | <outputs /> | |
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|
928 | </codecell> | |
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929 | </cells> | |
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930 | </worksheet> | |
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931 | </worksheets> | |
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932 | </notebook> | |
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|
1 | { | |
|
|
2 | "nbformat": 2, | |
|
|
3 | "name": "dos", | |
|
|
4 | "worksheets": [ | |
|
|
5 | { | |
|
|
6 | "cells": [ | |
|
|
7 | { | |
|
|
8 | "cell_type": "code", | |
|
|
9 | "language": "python", | |
|
|
10 | "outputs": [], | |
|
|
11 | "collapsed": true, | |
|
|
12 | "prompt_number": 1, | |
|
|
13 | "input": "from sympy import *\nimport numpy as np\nimport math" | |
|
|
14 | }, | |
|
|
15 | { | |
|
|
16 | "source": "<h2>Strutinsky Energy Averaging Method</h2>", | |
|
|
17 | "cell_type": "markdown" | |
|
|
18 | }, | |
|
|
19 | { | |
|
|
20 | "source": "Define a callable class for computing the smooth part of the density of states $\\tilde{g}_m(E)$ with curvature\ncorrection of order $2M$.", | |
|
|
21 | "cell_type": "markdown" | |
|
|
22 | }, | |
|
|
23 | { | |
|
|
24 | "cell_type": "code", | |
|
|
25 | "language": "python", | |
|
|
26 | "outputs": [], | |
|
|
27 | "collapsed": true, | |
|
|
28 | "prompt_number": 2, | |
|
|
29 | "input": "class SmoothDOS(object):\n\n def __init__(self, energies):\n self.energies = energies\n\n def gaussian_smoothing_func(self, M, x):\n return (mpmath.laguerre(M,0.5,x**2)*exp(-x**2)/sqrt(pi)).evalf()\n\n def __call__(self, e, M=3, gamma=1.0):\n return sum(self.gaussian_smoothing_func(M, (e-ei)/gamma)/gamma for ei in self.energies)" | |
|
|
30 | }, | |
|
|
31 | { | |
|
|
32 | "cell_type": "code", | |
|
|
33 | "language": "python", | |
|
|
34 | "outputs": [], | |
|
|
35 | "collapsed": true, | |
|
|
36 | "prompt_number": 3, | |
|
|
37 | "input": "def avgf(M, x):\n return (mpmath.laguerre(M,0.5,x**2)*exp(-x**2)/sqrt(pi)).evalf()" | |
|
|
38 | }, | |
|
|
39 | { | |
|
|
40 | "cell_type": "code", | |
|
|
41 | "language": "python", | |
|
|
42 | "outputs": [], | |
|
|
43 | "collapsed": true, | |
|
|
44 | "prompt_number": 4, | |
|
|
45 | "input": "def smooth_dos(gamma, M, e, energies):\n return sum(avgf(M, (e-ei)/gamma)/gamma for ei in energies)" | |
|
|
46 | }, | |
|
|
47 | { | |
|
|
48 | "source": "<h2>1D Simple Harmonic Oscillator DOS</h2>", | |
|
|
49 | "cell_type": "markdown" | |
|
|
50 | }, | |
|
|
51 | { | |
|
|
52 | "cell_type": "code", | |
|
|
53 | "language": "python", | |
|
|
54 | "outputs": [], | |
|
|
55 | "collapsed": true, | |
|
|
56 | "prompt_number": 5, | |
|
|
57 | "input": "def sho_smooth_dos(e):\n \"\"\"Compute the exact smooth DOS.\"\"\"\n return 1" | |
|
|
58 | }, | |
|
|
59 | { | |
|
|
60 | "cell_type": "code", | |
|
|
61 | "language": "python", | |
|
|
62 | "outputs": [], | |
|
|
63 | "collapsed": true, | |
|
|
64 | "prompt_number": 6, | |
|
|
65 | "input": "def sho_spectrum(nmax):\n \"\"\"Compute the first nmax energies of the 1D SHO.\"\"\"\n return [n+0.5 for n in range(nmax)]" | |
|
|
66 | }, | |
|
|
67 | { | |
|
|
68 | "cell_type": "code", | |
|
|
69 | "language": "python", | |
|
|
70 | "outputs": [], | |
|
|
71 | "collapsed": true, | |
|
|
72 | "prompt_number": 7, | |
|
|
73 | "input": "sho_evalues = np.linspace(0.0,20,100)" | |
|
|
74 | }, | |
|
|
75 | { | |
|
|
76 | "cell_type": "code", | |
|
|
77 | "language": "python", | |
|
|
78 | "outputs": [], | |
|
|
79 | "collapsed": true, | |
|
|
80 | "prompt_number": 8, | |
|
|
81 | "input": "sho_dos = SmoothDOS(sho_spectrum(30))" | |
|
|
82 | }, | |
|
|
83 | { | |
|
|
84 | "cell_type": "code", | |
|
|
85 | "language": "python", | |
|
|
86 | "outputs": [], | |
|
|
87 | "collapsed": false, | |
|
|
88 | "prompt_number": 10, | |
|
|
89 | "input": "sho_exact_dos = [sho_smooth_dos(e) for e in sho_evalues]" | |
|
|
90 | }, | |
|
|
91 | { | |
|
|
92 | "cell_type": "code", | |
|
|
93 | "language": "python", | |
|
|
94 | "outputs": [], | |
|
|
95 | "collapsed": true, | |
|
|
96 | "prompt_number": 23, | |
|
|
97 | "input": "sho_approx_dos = [sho_dos(e,M=3,gamma=10.0) for e in sho_evalues]" | |
|
|
98 | }, | |
|
|
99 | { | |
|
|
100 | "cell_type": "code", | |
|
|
101 | "language": "python", | |
|
|
102 | "outputs": [ | |
|
|
103 | { | |
|
|
104 | "output_type": "pyout", | |
|
|
105 | "prompt_number": 24, | |
|
|
106 | "text": "<matplotlib.legend.Legend at 0x7f1790f77990>" | |
|
|
107 | }, | |
|
|
108 | { | |
|
|
109 | "output_type": "display_data", | |
|
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110 | "png": 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POpZ0PEX50VoiXSjeZYcIIYS0LU66nry8vBAdHY2CggLo6elhxYoV4PP5AAB/f3/k5ubC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\nFhUKQgghzaJCQQghpFlUKAghhDTr/wCAVvjlY6wV8gAAAABJRU5ErkJggg==\n" | |
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111 | } | |
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112 | ], | |
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113 | "collapsed": false, | |
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114 | "prompt_number": 24, | |
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115 | "input": "plot(sho_evalues, sho_exact_dos, label=\"exact\")\nplot(sho_evalues, sho_approx_dos, label=\"approx\")\ntitle(\"Smooth part of the DOS for the 1D SHO\")\nxlabel(\"Energy\"); ylabel(\"$g(E)$\")\nlegend(loc=4)" | |
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116 | }, | |
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117 | { | |
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118 | "source": "Note how the exact smoothed DOS and the Strutinsky approximation agree once the energy is away from\n0. In general, these are edge effects and are also present at the right limit if you don't use enough energy\nlevels. Here we have used 30, so the right side doesn't show these artifacts.", | |
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119 | "cell_type": "markdown" | |
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120 | }, | |
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121 | { | |
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122 | "source": "<h2>1D Particle in a BOX (PIAB) DOS</h2>", | |
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123 | "cell_type": "markdown" | |
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124 | }, | |
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125 | { | |
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126 | "cell_type": "code", | |
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127 | "language": "python", | |
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128 | "outputs": [], | |
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129 | "collapsed": true, | |
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130 | "prompt_number": 16, | |
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131 | "input": "def piab_smooth_dos(e):\n \"\"\"Compute the exact smooth DOS.\"\"\"\n return 1.0/(2.0*math.sqrt(e*math.pi**2/2))" | |
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132 | }, | |
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133 | { | |
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134 | "cell_type": "code", | |
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135 | "language": "python", | |
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136 | "outputs": [], | |
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137 | "collapsed": true, | |
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138 | "prompt_number": 17, | |
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139 | "input": "def piab_spectrum(nmax):\n \"\"\"Compute the first nmax energies of the 1D PIAB.\"\"\"\n return [0.5*math.pi**2*(n+1)**2 for n in range(nmax)]" | |
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140 | }, | |
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141 | { | |
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142 | "cell_type": "code", | |
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143 | "language": "python", | |
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144 | "outputs": [], | |
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145 | "collapsed": true, | |
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146 | "prompt_number": 18, | |
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147 | "input": "piab_evalues = linspace(1.0,1000.0,100)" | |
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148 | }, | |
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149 | { | |
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150 | "cell_type": "code", | |
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151 | "language": "python", | |
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152 | "outputs": [], | |
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153 | "collapsed": true, | |
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154 | "prompt_number": 19, | |
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155 | "input": "piab_dos = SmoothDOS(piab_spectrum(20))" | |
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156 | }, | |
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157 | { | |
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158 | "cell_type": "code", | |
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159 | "language": "python", | |
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160 | "outputs": [], | |
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161 | "collapsed": true, | |
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162 | "prompt_number": 20, | |
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163 | "input": "piab_exact_dos = [piab_smooth_dos(e) for e in piab_evalues]" | |
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164 | }, | |
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165 | { | |
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166 | "cell_type": "code", | |
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167 | "language": "python", | |
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168 | "outputs": [], | |
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169 | "collapsed": true, | |
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170 | "prompt_number": 21, | |
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171 | "input": "piab_approx_dos = [piab_dos(e, M=4, gamma=150.0) for e in piab_evalues]" | |
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172 | }, | |
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173 | { | |
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174 | "cell_type": "code", | |
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175 | "language": "python", | |
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176 | "outputs": [ | |
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177 | { | |
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178 | "output_type": "pyout", | |
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179 | "prompt_number": 22, | |
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180 | "text": "<matplotlib.legend.Legend at 0x6107410>" | |
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181 | }, | |
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182 | { | |
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183 | "output_type": "display_data", | |
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184 | "png": 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RHh6OX375pdyhvsrqUtl8QN9rGTJkCNq2bYtGjRqhUaNGaNy4MaZOnYodO3bg9u3bhu07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\nIiIyOoYLEREZHcOFiIiM7v8D5L89YpM7o1sAAAAASUVORK5CYII=\n" 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185 | } | |
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186 | ], | |
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187 | "collapsed": false, | |
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188 | "prompt_number": 22, | |
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189 | "input": "plot(piab_evalues, piab_exact_dos, label=\"exact\")\nplot(piab_evalues, piab_approx_dos, label=\"approx\")\ntitle(\"Smooth part of the DOS for the 1D PIAB\")\nxlabel(\"Energy\"); ylabel(\"$g(E)$\")\nlegend(loc=1)" | |
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190 | }, | |
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191 | { | |
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192 | "outputs": [], | |
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193 | "cell_type": "code", | |
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194 | "collapsed": true, | |
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195 | "language": "python" | |
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196 | } | |
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197 | ] | |
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198 | } | |
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199 | ] | |
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200 | } No newline at end of file | |
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1 | <?xml version="1.0" encoding="utf-8"?> | |
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2 | <notebook> | |
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3 | <name>sympy</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><h1>SymPy: Open Source Symbolic Mathematics</h1></source> | |
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10 | </markdowncell> | |
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11 | <codecell> | |
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12 | <input>%load_ext sympyprinting</input> | |
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13 |
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14 | <prompt_number>1</prompt_number> | |
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15 | <collapsed>1</collapsed> | |
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16 | <outputs /> | |
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17 | </codecell> | |
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18 | <codecell> | |
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19 | <input>from __future__ import division | |
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20 | from sympy import * | |
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21 | x, y, z = symbols("x y z") | |
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22 | k, m, n = symbols("k m n", integer=True) | |
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23 | f, g, h = map(Function, 'fgh')</input> | |
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24 | <language>python</language> | |
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25 | <prompt_number>2</prompt_number> | |
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26 | <collapsed>1</collapsed> | |
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27 | <outputs /> | |
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28 | </codecell> | |
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29 | <markdowncell> | |
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30 | <source><h2>Elementary operations</h2></source> | |
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31 | </markdowncell> | |
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32 | <codecell> | |
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33 | <input>Rational(3,2)*pi + exp(I*x) / (x**2 + y) | |
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34 | </input> | |
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35 | <language>python</language> | |
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36 | <prompt_number>3</prompt_number> | |
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37 | <collapsed>0</collapsed> | |
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38 | <outputs> | |
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39 | <output> | |
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40 | <output_type>pyout</output_type> | |
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41 |
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42 | 3β Ο β― | |
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43 | βββ + ββββββ | |
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44 | 2 2 | |
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45 | x + y</text> | |
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46 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUdrQUFBQXBDQVlBQUFBMjJnZFdBQUFBQkhOQ1NWUUlD | |
|
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47 | QWdJZkFoa2lBQUFCR1JKUkVGVQplSnp0MjJ1SVZWVVV3UEhmT0dtT3FXbVptWnBETW9ZcFRsb2hr | |
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|
48 | YjJUS0NPbGwvU3lMeFVSMVljS2VuM3FCVWtrUVJRRlpSajFJZXdwCjlTR283RTFQZ2hKN0o0WkJw | |
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|
49 | VmxnR1dZMjA0ZDFMdmNhY3g4emM4ODVkL1Q4NFhEMnZuUE9XZXZlZGZiYWE2KzFoNEtXcHkxdkJZ | |
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50 | WW8KWFRnR1QyTWlacUVIby9BMzNtaW1zSDBhdUdZMEZtTkMwbCtGYmMxVVlnZ3lFVXZ3SXJyeEd0 | |
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51 | WmlHZWJsb2REck9DRnBMOGNuZVNqUgpZa3pEZzJoUCtsUHdVTkllMW14aGpZeWtkNVZIem51NEdX | |
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52 | UHQzYVBwUEx5QVJXSWtiY1ZubUlNZCtMYVp3dHJyWCtKTi9KSzBMeFMrCjk5Rm1LdEhDN0k4emND | |
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53 | U200dnZrOCs4d1RuaVo0ZmdRdS9CcnhUV1owNDFyaFhFT3lFdUpqSm1NbDRWeDREYU52ZFJOcDFH | |
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54 | aFc4VVEKUGcwejhFNXFHclVPejJNVC9oWEJ3QS80T2xlTnFqQUpLekFtNmM5REwrYm5wbEUyak1a | |
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55 | T0hKeTNJdFNQUkdaaXFiS1J4aWZuWGFscApWSnZqWk9kdS84SG1pbjZYOGpJa1UrcTV1MDNDSjI5 | |
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56 | REIrN0VHanlSc2w3VnVBWmI4R1BLY25iaUVHR1V6U0tLbTRxUFVwWTdLTHJGCmd2YXduUFZZam1N | |
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57 | emt0VW1zZ3FuQ3ZlWEc0MnNrK0R6NUJnTUI0bVF0aTk2c0RFNXR3cTlXbVRoM3FpUkJzTmtFWHhj | |
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58 | b0xaN1BRbHYKWjZEUGtLUHBLWXovMFk2SDhiNUlRdDZIaGNKdHJzYnNwRDFaWWFDcWxFWlNid3JQ | |
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59 | YmhQcGt4WEtCdWdTaWNoZWtlLzZvc3E5dzdGdgpsYzg3OUQxSGJMZjc5MGpqTytWQ3lVaHBsU3hX | |
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60 | VjdRbmliQzJWOHhOWTJ2Y2R4ZU83K1B6VGpFUy8rampiM2ZnMVlwK1VZWVpBTGZpCnVxUTlINThP | |
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61 | NEJsWlJuY3RROXB6VXFXY3k0V3JJMGJWRWJJSlhJWThXZjFJWjJNL3JFLzZIUmdwRExVdUl4MGE1 | |
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62 | VXJoaWp0eG8zRFIKdWRLZmtUUnFFSEt1eHlzVi9WTEc0S2hCUERNTnB1SlBFZXhzRkpYVzNHbkVT | |
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63 | S2VMU2ZrR1Vicy9lUUJ5dG92d3U4UUhlQkliQnZDcwpOSmtpYW1aRTFyc3JSMTBhWmh4V1Z2UVhp | |
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64 | YnhXTG9sR1hJM0RVNVpSeW9yY0t3cCtMYzlzRVRLWDNxalJTWDl4YmhwbHd5UThscmNTCi9hR3pv | |
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65 | bjIwS0ZOTXowbVhMR2pEN1dJTzdzOWE2ekpoM054Wkk5WTdleklYaVdRd25OT1ArNjVRTHJVM2xm | |
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66 | NUVkemZoTGR5VGhpSTUKTUx5aVBTSTV6eFJidGI0VW0wcHFaVVVHUWwrL2Q5MWxVS1BycEV2d2pk | |
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67 | Z01PRVpFUVY4MXJGcHJNVXVrbkVhSnRkc09VUzk3Q2MvaQp3SlRrZGlmSHBTSUE2eEdCVUNkdXFY | |
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68 | VmpJMFk2VjVTczEyTXVUaFJaN2FIS1Fqd2dYclIxT0JSWDZmOWV1V1Vpc0NyUkxmYUFWT1lWCm44 | |
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69 | UEhTWHNCbnNMOW9qclFnek0xb2NvOVhhd1hmcTQ0ZmhKdjRGQ2w1TnFXNHBrbVByZmVuRFJDWkRO | |
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70 | V0pmMWgrRTE1L3F0S3ZaRzAKd2U3UjNaN0F6dVM4VURtWE9CNS9pYzMyYWNwZG9yeXhkSzU0NGJm | |
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71 | VXV6R3JCR3VyTUVlNG5KRTRTemtUZjdHeThkSmtndGpjQStlTApRS3d1dWV6SXpKR0pZblBKTkxG | |
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72 | WVBVVlVodGNLMXpNWVpvZ3R4dHRyWExOVkpBTGFSYXJ0RWVXa2MwR0xVS28yVDhIdnFtL01LY2lK | |
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73 | CnU4VWFEQjVYTG9EV1pXOXpkM25TSmtiU0F2RnZNaXRyWDE1UVVGQlFVRkJRTUFEK0E0UXR0bmUw | |
|
|
74 | VkRacEFBQUFBRWxGVGtTdVFtQ0MK | |
|
|
75 | </png> | |
|
|
76 | <latex>$$\frac{3}{2} \pi + \frac{e^{\mathbf{\imath} x}}{x^{2} + y}$$</latex> | |
|
|
77 | <prompt_number>3</prompt_number> | |
|
|
78 | </output> | |
|
|
79 | </outputs> | |
|
|
80 | </codecell> | |
|
|
81 | <codecell> | |
|
|
82 | <input>exp(I*x).subs(x,pi).evalf() | |
|
|
83 | </input> | |
|
|
84 | <language>python</language> | |
|
|
85 | <prompt_number>4</prompt_number> | |
|
|
86 | <collapsed>0</collapsed> | |
|
|
87 | <outputs> | |
|
|
88 |
|
|
|
|
89 | <output_type>pyout</output_type> | |
|
|
90 | <text>-1.00000000000000</text> | |
|
|
91 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUNzQUFBQVNDQVlBQUFEQ0tDZWxBQUFBQkhOQ1NWUUlD | |
|
|
92 | QWdJZkFoa2lBQUFBVjFKUkVGVQpTSW50MWIxTEhFRVl4L0hQK1ZhY1RkS3BLS0tGWElxSUlCWmFo | |
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|
93 | QlRYMlBrM3BJcFZJRmhvTUYyNkE4RktzTEt6Q3FuVHB4SUxVVWpoClc2RkZiSUlJdVNLY2VCWTdx | |
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94 | OHV5QjlsN0NTZjRnK0hoK1Q0N3ovd1labWQ0UWlwMG9PY1gzS0NTYzE0Wnl6aEJIUmZZYXErMVI1 | |
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95 | VkUKQnV0WXpUbDNHbFZNaHJ3ZmUvaVEvS2luUllPeEtsaEJyY241YS9pQjg1RFhzQnY2anJic3Jv | |
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96 | Rks4dS9zT0c3eE1jVmZoVjd2WXRDdQpuVzFGTStnVm5kV2tUa044RzROdU1Ec1U0cDhVcjRVeEhJ | |
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97 | TnVNbHZOcUZYeElrNjZ3ZXpmRU84eWF2MUozZzFtanhyd0FvcjRGWU8rClJQRTF0djM3UTNHQTk4 | |
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98 | MjRTK2t3eEpjcFhneGVybUtRTkh1RStUWXNubGVYdU1aWWlzK0YrTER6Ly9zWURHQWlneDlpTWNY | |
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99 | SytJMmQKVHBsWkVGM2tHdzNxMzBVUHdHeUt2eEg5K1ZNaEg4UXgxanZnMFNmc2krN0tlaGcvZzdt | |
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|
100 | a0tqakRTRWFQSlh6REpyN2lzK2l4ZU5hegprcm9INUFBOVNzd2xFUkVBQUFBQVNVVk9SSzVDWUlJ | |
|
|
101 | PQo= | |
|
|
102 | </png> | |
|
|
103 | <latex>$$-1.0$$</latex> | |
|
|
104 | <prompt_number>4</prompt_number> | |
|
|
105 |
|
|
|
|
106 | </outputs> | |
|
|
107 | </codecell> | |
|
|
108 | <codecell> | |
|
|
109 | <input>e = x + 2*y</input> | |
|
|
110 | <language>python</language> | |
|
|
111 | <prompt_number>5</prompt_number> | |
|
|
112 | <collapsed>1</collapsed> | |
|
|
113 | <outputs /> | |
|
|
114 | </codecell> | |
|
|
115 | <codecell> | |
|
|
116 | <input>srepr(e)</input> | |
|
|
117 | <language>python</language> | |
|
|
118 | <prompt_number>6</prompt_number> | |
|
|
119 | <collapsed>0</collapsed> | |
|
|
120 | <outputs> | |
|
|
121 |
|
|
|
|
122 | <output_type>pyout</output_type> | |
|
|
123 | <text>Add(Symbol(&apos;x&apos;), Mul(Integer(2), Symbol(&apos;y&apos;)))</text> | |
|
|
124 | <prompt_number>6</prompt_number> | |
|
|
125 | </output> | |
|
|
126 | </outputs> | |
|
|
127 | </codecell> | |
|
|
128 | <codecell> | |
|
|
129 | <input>exp(pi * sqrt(163)).evalf(50)</input> | |
|
|
130 | <language>python</language> | |
|
|
131 | <prompt_number>7</prompt_number> | |
|
|
132 | <collapsed>0</collapsed> | |
|
|
133 | <outputs> | |
|
|
134 | <output> | |
|
|
135 | <output_type>pyout</output_type> | |
|
|
136 | <text>262537412640768743.99999999999925007259719818568888</text> | |
|
|
137 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQWZ3QUFBQVNDQVlBQUFDK2EyeFZBQUFBQkhOQ1NWUUlD | |
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138 | QWdJZkFoa2lBQUFDWHRKUkVGVQplSnp0bkhtczNVVVZ4ejk5cjQvdDBiSVkzNFBhRm9nZ1VHdlRo | |
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139 | S0JJWGFKRWdiREVWRVVDbUpacVJHSlVsRUkwUUt5SUlFV2haUWxhCmxseXRLUllyRkdSckpGaUN1 | |
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141 | NXoKWjRPQ2dvS0Nnb0tDTnp6R2VkK25BUmNBMndBN0FiOEV2ZzY4RkhoMkNuQTI4Qi9nWldBanNC | |
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142 | RFkxSURmZW1BRnNBeDRIamdXK0lUNQpQT3pRN1F2TUIxNEg5ak8wNXdMM09UU0hBMWNBYTR3dS93 | |
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144 | ZU5mcnNBWHdFR1RYc0hnYThCZitsQ3JxYTlHajhJWVFnNEhkak42UEFxNG5QK2M0V3VQK2tnZjg3 | |
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145 | UnhKYVcKTGlVV2NyWkRhNzhtc1ZxVkUxUDZUWk5MdEhKVCtHbjlBUExseEY3Uy9RLzdBcjhBcGpv | |
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146 | TTFwclBKSTkyQlBnemNMRDV2aXZ3Q1BDbApodnkyZUo5TndORWV6VDdBS21DQytUNE9XQTY4QWt4 | |
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149 | Unh0YnVXTXcKWnp0UzdKY1NxM1U1TVVXdU5wZG81S2J5MC9nQjVNMkp2YUpydy9WT1l5d09Sb3l3 | |
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151 | NWFCVFBndTROTURYWW9uaHRjQXIzeDlZYVdUY1RkekpjdHRQcTkveHlFaDgyQ25iCng5RE9jOHBT | |
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152 | N0tMUjd3VGd6SUNlQzRFdk41VHJJdFplclIvNCtKU2htZW1WUDJSa0Zicitwb1A4T1VjYlc3bGpN | |
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153 | R2M3VXV5bjFVK1QKRTFQa2FuT0pOaGRyK1lIT0R5QnZUdXdWWFJ2K2lreGhUSERLeGlQVE1BODRa | |
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154 | UjhIL28yTUtxcWc1UWN5TlZPSDJjRFRpUE5aSEl0MAordWxPMmVXQlozY0ViZ04ycU9CdGVTMm8w | |
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155 | S0ZGM01seTIwK3IzeHJnanNBemp5Tk9hcUcxaTFhL0M0RkhnVzI5OHZPUXFjZFV1UzZxCjJxdjFB | |
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157 | ZDR1TWlkRTN0RjE0YTcKZ1g4ZzZ5MHVYa2JXTml5V0F3L0dtRFRnQnpxamg3QVlDWUpwTlhTWEEr | |
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158 | K0sxTzBJWEduKzcrYUZuOXQrR3YzR0kydGozd3M4dHdwNApzWVozeUM1YS9ZNHgraXhIcGh4Qmdu | |
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160 | NHVXb1J6WW9yY0pya2tKamVWMytvSUR4ZTVjMkt2Nk5yV2w5NlByQTg5NTVSTkJTWUN2M0hLWmdK | |
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162 | eFRYb3B5RzAvalg2anlCcjJ4a0RkSnFUei9WR2ZSY3d1V3YxVwpBcmNqenZZZzhFbmdXbVFkOEtH | |
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173 | dm94RStSalNhaC9valpKVVcvdWNETlR2MHcKY3U1NE0zSm1PSVRjL1dGUjV3Y1dBOGlSbTBYSXNh | |
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179 | V256cCs2NEU3dmZvUnhKQ3J6UGZ0a0IycXJ3TnZkZWpzZE10R1ErTmlGdkcxdFJPUWFlQ1Z6dWRt | |
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180 | US8rdytUNDc4RnlMCmV1Zk9ZYjhVL1piU2Z2UUhaUHBzQTNCclFFNlZYYlQ2RFNPT0ZEcW1NZzU1 | |
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182 | TnNrbFZYSlQrS1g0UWE2YzJDdTZJRTRrM01sWE9mOS9GUGduVzdmL1c4WWI2SnhTMWZCYgpRdWVz | |
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185 | MFYyMzdvM2Z4VzYvcVN6eUpWelFCOWJ1V01ROHJVajFYNWEKL1N4YWhITmlpdHpVWEZJbE40V2Yx | |
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186 | Zzl5NThSZTBiWGhnOERmZ1I5Nm54OGo1L3RjckVDT0o5aTFpM25JQ01nMWlKYmZOTVJvOW9LRwpB | |
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187 | V1Mwdkl6MkRSWDI2SVNWT1lKY0NQRVU0Yk9hcHlFZGQxS3N3UjVtR1BvTEsyaHVORFFqZ2JyYzl0 | |
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188 | UHF0d3R5emVUbm5iSWx3SzhqCmZEUjIwZWgzbENuYnp5bWJqUHlpY1lNOFJhNkxXSHUxZm5BQXNy | |
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189 | djJOdk45RXJLai96M20reWh5TWNvY2ozK2g2MDg2eUo5enRMR1YKT3daenRpUEZmbHI5WE1SeVlv | |
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196 | QUFCSlJVNUVya0pnZ2c9PQo= | |
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|
197 | </png> | |
|
|
198 | <latex>$$262537412640768743.99999999999925007259719818568888$$</latex> | |
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|
199 | <prompt_number>7</prompt_number> | |
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200 | </output> | |
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201 | </outputs> | |
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202 | </codecell> | |
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203 | <markdowncell> | |
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204 | <source><h2>Algebra<h2></source> | |
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205 | </markdowncell> | |
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|
206 | <codecell> | |
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207 | <input>((x+y)**2 * (x+1)).expand()</input> | |
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208 | <language>python</language> | |
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|
209 | <prompt_number>8</prompt_number> | |
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210 | <collapsed>0</collapsed> | |
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211 | <outputs> | |
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212 |
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213 | <output_type>pyout</output_type> | |
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214 | <text>3 2 2 2 2 | |
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215 | x + 2β x β y + x + xβ y + 2β xβ y + y</text> | |
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|
216 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVEwQUFBQWJDQVlBQUFCbTZ0bzZBQUFBQkhOQ1NWUUlD | |
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244 | NnE1TlQzWWhJK00rNUJIWkpjanEKNm1yZ0dDUTVtMnppRGVJd1pPN1lnOXdETDNObHZvMnQ1ejdr | |
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245 | bTJNTSthMkJOY0NmeU10N01XaVg5dkdKczltNTFCQ3p2MVdwMjZ6dQpibVFGdFRhUWRBS24wcHdm | |
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246 | UE1rYzdRNEJMcXp6TjdkZ0cxdFBOL0lOVS92TmdWYzlmR1RLK2xxOWZjQXZUb3RjYXNnYzdXTDNO | |
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247 | eXZkCm1VZVpadWZjbk5HcUExQ3dFcml6c0g4bXNqQzIwTU5YdStpT0ZhZGxMalZVblhkcjNSbzlW | |
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248 | ZVhjblA2cUExQ3dHL2dnL3p3RHVRVzMKd2ROWHUraU9GYWRsTGpWVW5YZHIzUm85d1hXWFY0TVRq | |
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249 | WGtFbWFQK2hOeTZlb3Z3bndhWXFrelZYRmFwZTZybXZISk9SdDV3VElOdQpPRk0xbDFYcW5xbzVU | |
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250 | eVFTaVVRaWtVZ2tFdjh2L2dOSTlna3IrVWRUU2dBQUFBQkpSVTVFcmtKZ2dnPT0K | |
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|
251 | </png> | |
|
|
252 | <latex>$$x^{3} + 2 x^{2} y + x^{2} + x y^{2} + 2 x y + y^{2}$$</latex> | |
|
|
253 | <prompt_number>8</prompt_number> | |
|
|
254 | </output> | |
|
|
255 | </outputs> | |
|
|
256 | </codecell> | |
|
|
257 | <codecell> | |
|
|
258 | <input>a = 1/x + (x*sin(x) - 1)/x | |
|
|
259 | display(a) | |
|
|
260 | simplify(a)</input> | |
|
|
261 | <language>python</language> | |
|
|
262 | <prompt_number>9</prompt_number> | |
|
|
263 | <collapsed>0</collapsed> | |
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|
264 | <outputs> | |
|
|
265 | <output> | |
|
|
266 | <output_type>display_data</output_type> | |
|
|
267 | <text>xβ sin(x) - 1 1 | |
|
|
268 | ββββββββββββ + β | |
|
|
269 | x x</text> | |
|
|
270 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUhVQUFBQWVDQVlBQUFBU04xRWxBQUFBQkhOQ1NWUUlD | |
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271 | QWdJZkFoa2lBQUFBeUZKUkVGVQphSUh0Mmx1b0ZWVWN4L0dQRjlTZ2N4R09jaUlVSXpXRm9CQ3Bp | |
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273 | Z1NGRkV3dGUvalBoam5qdnN6ZSs4eWVPZWZNRnphc21YWDdyZjkvcjFuL05XdW9xZW1TVWR4UnRv | |
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274 | Z20KTEMxYlFCZFVUdXQzZUtGc0VTa1c0MVg4VnJhUUhQU3NkZjdVYTVuRU0vaXY0RDd5TW9TdEdN | |
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275 | YWlrclYwWWlCYVJ6Q1dwRWN4bnNvYgp4dkltZGNZd0wzUHY3bFI2U2VaNkR1N00yZTlJTHRYTmVS | |
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276 | WW4rcWcvU0hyU21tZW12b1JyZUVRWS9uZnN4VzVzd01XazQrZndRVkxuCmViR1c3a3p1d3pheFBq | |
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278 | ZGZjS3AKQzhWTU9wdWtHeXpDVWJGTzdNSS9XSmZVM3k4YzlXL09mcThLcC8rRU40VFRXL0Vlem5V | |
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286 | TTFyWi9iR1ZyRWwKeTdKR3ZBazczU1R2UzN4VHBLZ0d0Vk43NHk2VER5TWF2SWdyT053azc0eDRU | |
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287 | MTQ0UlIrOXpWVCtTbjVaMW9zSS9raVR2SUZScGVpMwozZkhlYktSbmUxUmxwclk3Wmp0YW9xNnk2 | |
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290 | MXFhbXBxYW1vcXd2OFkKb1ppay82UzJTZ0FBQUFCSlJVNUVya0pnZ2c9PQo= | |
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|
291 | </png> | |
|
|
292 | <latex>$$\frac{x \operatorname{sin}\left(x\right) -1}{x} + \frac{1}{x}$$</latex> | |
|
|
293 | </output> | |
|
|
294 | <output> | |
|
|
295 | <output_type>pyout</output_type> | |
|
|
296 | <text>sin(x)</text> | |
|
|
297 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQURBQUFBQVNDQVlBQUFBZFpsMjZBQUFBQkhOQ1NWUUlD | |
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298 | QWdJZkFoa2lBQUFBblZKUkVGVQpTSW50MWtsbzExY1FCL0JQaktsYlJhcWlndEZLMGtRd2l0aUlR | |
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299 | bHhBMGlXQ0lvcEtMMExkd0FWQmlCc2VGQThpYUE5aWdyYmlvWmNlCmhOQkxDL1dnWUtIUXFsRlJY | |
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300 | TkJhcUJzcVZuRERoV2oxTUMvdHk1Ky9IaVNRZy9sZWZqUHovYzk3TS9ObWhqL3ZLVDdIRFZSMWRT | |
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301 | QTkKM3RGdkdNN2hlaWZHMG8xdWRBVktpdGcrd2pZOHdCTzA0WnZFZllaWnFNWWkzTXY4R2pFZHQ3 | |
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302 | QUNNekZSekVzVmx1bzRNNE5RaWVOaQpGamVrdXl2d0xSNWlHVXJSaXQvd0hIKytMYUVldUlpeFNh | |
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303 | L0VQeW13MGRpYzdHZXdKdk1ia3hJWWdGZlloNGFNL3huN0MrNWFuTW5iCjB4bFFKd3B6UUJUNEtD | |
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304 | NGtia094Z0hQVVlTVCtUdnA5N01BSnJNUWVVZEd4T2xaelBscFFudlJMT0pUeEpSaVM2UVB3YjVK | |
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308 | QlhiRUFjdXdVU1JOdDlDRyt3SmRGN2l6REk2ekxiSDFGMjByMzVWeUhHZmdPcHpQOVBBNktvVzdI | |
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309 | MTJJYlhNWlgKR0o1eDR6QllERjJPUmZnaHlSdnhVdlR5SjhsV2o3VkpucG9TUEpuNU42SlhrcXZF | |
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310 | UEJaTm9FWU1URHVHWURaMlpiWnlIRUYvVE1BZgpHVGREckxuZk0xdGZzUm9QaTVhNWk2ZGlzL1VU | |
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311 | cjlhTU9TbVdKV0lEdlVqK3RlTEZyeVo5b2lqZ2Y4Z0g1WmdZa2daTXdYanN4dG5zCk43ZXdBS01T | |
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312 | OXpqajVvcnQxWkxaMmxJdzg4UjJhUkl2UU16WkpQR2EvVVN4bXZHVFdOR1QwUk43azg4NDNCUi9J | |
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313 | cnZSamM3Q2E1bk8KZmowTHpCZHJBQUFBQUVsRlRrU3VRbUNDCg== | |
|
|
314 | </png> | |
|
|
315 | <latex>$$\operatorname{sin}\left(x\right)$$</latex> | |
|
|
316 | <prompt_number>9</prompt_number> | |
|
|
317 | </output> | |
|
|
318 | </outputs> | |
|
|
319 | </codecell> | |
|
|
320 | <codecell> | |
|
|
321 | <input>solve(Eq(x**3 + 2*x**2 + 4*x + 8, 0), x)</input> | |
|
|
322 | <language>python</language> | |
|
|
323 | <prompt_number>10</prompt_number> | |
|
|
324 | <collapsed>0</collapsed> | |
|
|
325 | <outputs> | |
|
|
326 | <output> | |
|
|
327 | <output_type>pyout</output_type> | |
|
|
328 | <text>[-2β β , 2β β , -2]</text> | |
|
|
329 | <prompt_number>10</prompt_number> | |
|
|
330 | </output> | |
|
|
331 | </outputs> | |
|
|
332 | </codecell> | |
|
|
333 | <codecell> | |
|
|
334 | <input>a, b = symbols('a b') | |
|
|
335 | Sum(6*n**2 + 2**n, (n, a, b))</input> | |
|
|
336 | <language>python</language> | |
|
|
337 | <prompt_number>11</prompt_number> | |
|
|
338 | <collapsed>0</collapsed> | |
|
|
339 | <outputs> | |
|
|
340 | <output> | |
|
|
341 | <output_type>pyout</output_type> | |
|
|
342 | <text>b | |
|
|
343 | ___ | |
|
|
344 | \ &#96; | |
|
|
345 | \ β n 2β | |
|
|
346 | / β2 + 6β n β | |
|
|
347 | /__, | |
|
|
348 | n = a</text> | |
|
|
349 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUhnQUFBQTVDQVlBQUFEOVlPOGJBQUFBQkhOQ1NWUUlD | |
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350 | QWdJZkFoa2lBQUFCNU5KUkVGVQplSnp0M0h1d1ZYVVZ3UEVQOXdVSUJnaHBrS1h5U0lRSXpNbWdx | |
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351 | R3l3eHdSVU51TmdRelZJMDBSUHBiU3dtbDZXdlN4cnhvaWlzZElhCnpYQWFLcHNzU0NJekozdEtw | |
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388 | OG9QT0ZnVE9tClFaNWFIWGUwSVZkZTFva1RvVnM3TE5jamxIMVBrOC9ITlBsc1FIVCtoenRzcjhZ | |
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390 | bkkrTkFNMXIxa3hRVkZSVVZGZDBsdlFZdkZDY2EyNFJKUDFPNHo5SSswaE8wM2pidApGeitHbG5Y | |
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391 | YnpSYS9iWG1kOE12K3FaRFVGVzFUVTlaOHNjMVpuenh2RjQ3OUg2aHY0SHZGTWRoa3NjMXBkdTFV | |
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392 | LzBHV0FXRTEzeVNjCjhwdUVNK04zM2ZxSEtoclRyY0MxZFFZSG9tM1gvYU8raWhTMTA2UnZDN2Rh | |
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393 | YmVRU2Z1R3RtZnl6dEE3elNVL1JvOFhHK3luSlo4ZUsKMktVOWpRcFdkSWYwY2VFaWczOXZjamsr | |
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394 | SmR4bjF3dkZ6ak8wZ204WGEvbnh3bHYxbDFUOTF3cUYzeWtjN0JVSGtFMUNDVFYyaTlPawp2S2Ni | |
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395 | UFdMdDdSUFQvZFY0cStaKzZJb3VzMXI5SklmNEhzd1ptYlJPbVNKbWdtbkNYM3FXenB6NEZSVVZG | |
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396 | UlVWRlJYRGt2OER4SVdSCkNuc1FoM01BQUFBQVNVVk9SSzVDWUlJPQo= | |
|
|
397 | </png> | |
|
|
398 | <latex>$$\sum_{n=a}^{b} \left(2^{n} + 6 n^{2}\right)$$</latex> | |
|
|
399 | <prompt_number>11</prompt_number> | |
|
|
400 | </output> | |
|
|
401 | </outputs> | |
|
|
402 | </codecell> | |
|
|
403 | <markdowncell> | |
|
|
404 | <source><h2>Calculus</h2></source> | |
|
|
405 | </markdowncell> | |
|
|
406 | <codecell> | |
|
|
407 | <input>limit((sin(x)-x)/x**3, x, 0)</input> | |
|
|
408 | <language>python</language> | |
|
|
409 | <prompt_number>12</prompt_number> | |
|
|
410 | <collapsed>0</collapsed> | |
|
|
411 | <outputs> | |
|
|
412 | <output> | |
|
|
413 | <output_type>pyout</output_type> | |
|
|
414 | <text>-1/6</text> | |
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|
415 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUNZQUFBQWlDQVlBQUFBenJLdTRBQUFBQkhOQ1NWUUlD | |
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416 | QWdJZkFoa2lBQUFBU3BKUkVGVQpXSVh0MTc4clJsRVl3UEVQWGlrWkxINE5TaFRLb0F5eW13M0tQ | |
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417 | eUpsc0Jzc1ZxdkJZREl3Q2NsL2dIcFhyOGxpRVlXTjRieDBrM0t1CnpzbXI5MzdyREdkNDd2UHR1 | |
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418 | Yys1enoyME9ZTi9MZkNWVVd4anAyeGdMYjNMSnpPWXh4Q2V5Z2JuRktzMzF4VDZ5d1ozSnRkSlJD | |
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420 | VjhGUnZZU203VXBDalJnMm54WWcrNApUUzFVOFZ0U25NcWZtQlA2dHc5N2VJMEp5ajByTnpHQ2ZR | |
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421 | eGdMWE8rS0JaeFVOZ3ZDM016aXB5dmNoYzN1TVlZcm5DZU1WODBkWnlpClZ5akFNVlppZzNQMldE | |
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422 | Y3U4U3lNclJOc3hBYm5GR3Znc2JCL0VmN0xvc2dwZG9pSnduNFlGeG56UlZQREVaYUVpKytaY1Bs | |
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423 | dEdXYUYKejBUTFhud3EycE4zeXVnam5TelN5dGNBQUFBQVNVVk9SSzVDWUlJPQo= | |
|
|
424 | </png> | |
|
|
425 | <latex>$$- \frac{1}{6}$$</latex> | |
|
|
426 | <prompt_number>12</prompt_number> | |
|
|
427 | </output> | |
|
|
428 | </outputs> | |
|
|
429 | </codecell> | |
|
|
430 | <codecell> | |
|
|
431 | <input>(1/cos(x)).series(x, 0, 6)</input> | |
|
|
432 | <language>python</language> | |
|
|
433 | <prompt_number>13</prompt_number> | |
|
|
434 | <collapsed>0</collapsed> | |
|
|
435 | <outputs> | |
|
|
436 | <output> | |
|
|
437 | <output_type>pyout</output_type> | |
|
|
438 | <text>2 4 | |
|
|
439 | x 5β x | |
|
|
440 | 1 + ββ + ββββ + O(x**6) | |
|
|
441 | 2 24</text> | |
|
|
442 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5vQUFBQWlDQVlBQUFBNTNNZXZBQUFBQkhOQ1NWUUlD | |
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443 | QWdJZkFoa2lBQUFCdU5KUkVGVQplSnp0M0d1c1hGVVZ3UEZmZTN0YndOWUEwa3NyaGx4cktLaTBo | |
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447 | U3N4bCt3WGVqamxIckZhUmlVT1hVTAowSVduNHhVNEdtTVY1SGNpWG9uNW9pTC91SUk4QitWMXVL | |
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448 | Vm1HUlpnTGI1VXN4eFpXSTFmNDdHTTk4L0NNM0UvOW5aSk00bHgvQ2xqCkhyV3hVZm1WNnlSY2h0 | |
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454 | aE0rSk9mM2MKdHZTTDhIdlp2ZXRMaEhHZGd6TndMYTdxNDc2bjRXY3pKUnJIVjVNTTZxWnFRN3NT | |
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465 | aHpiOFlCVDJCNnU5NENZYURkNkVjSDc4ZGJ4R2hpbGhqOTlOUEliQmVHM3BNcDJZZU9rOG45ZFhP | |
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466 | cWFBRVB3ekt4aGVrR3JCUzcKTEI0VjNxdWltVFFjNWUvRktPam1GRkVIMS9hWnZ1VzRlSFBxM0lP | |
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467 | Nkw0T1VyWVAzNHViV1FkMDlXaG1lelZuQ08vUmFYSkNjMnlxYwpCenZGV3REWnVBbTdTOGgvRU9y | |
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469 | CkMrWGVsQnhmV2xLK2cxSkg5TVFpbzZHYlpjbjNJMzJtUDB0NHpkUEQvbC9xYkdoVjFJK2xZamlL | |
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470 | ZklhMlhPd0JhMmUrNkg0M2Q3aTIKVlN6NmxjMzI1Tk5pRGY0cE5wVVd4VENYdnhlam9wdldBdjBL | |
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471 | L0hXRy9GNHNocHFyMnM3ZmpJczdwSzlDQjB2eGc5WkJIa1BiS2x5WQo3U3pHVTdwYzI1a2p2enlj | |
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472 | anAvSXZnMm5FNk5VL2w0TXEyN3VUcjVmS0ZWaE8zQ28yTWQ0dnVtR2NncytKdFlnZSszVExGb0h6 | |
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473 | eEh5CjN6ZFR3aW1qN1F5Wkp5YTdoRHY1TVFkN0ZrOFdtNG5MWUZMOTVlL0ZxT2ptSkRIbjJtMTZU | |
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474 | OVZpb1RDUVRyMVdpNHVGaXo1TjJUcTQKVGNxMTM0c3BvMjFvWHhEcmd2TkVTN2RIVEg1YlhLKzhq | |
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475 | Y09UNmk5L0wwWkpOMThVOWZBaHZFRXNlQlBEc2d1RWtjMVVvZWVKbm01bAo2bHlaT3RpQWI3V2ZU | |
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476 | QThkRnlTWkhvTlhKK2UyaUpYNDFnNk5Lc2tUakhsdmNzK0ZZb1BuZXJFM2NFeTBWamVLeGNoaHBw | |
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477 | L3lad25FCkhDWGR2RWtZMlR1RWNSRE9rWjM0bEppYjdacmhHWHZ3VXJIZ3ZFSDBrbVhwNEhDeG5M | |
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478 | Q2hWNkpEeFFwNHAwOG56MDAzSnVWdjBZc0kKeGp4UnZHZWp4WkVPZUxMS1pGSjE1YzhhaURscXVq | |
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479 | bEU3UEZjSlh2ZzYySlJ4MXVVb1lPRm92R2JScnBIMnlYY28zblpMLy82MExsQwpudlpnekVGMll2 | |
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480 | KzI3ZmdSL2J1SzgxQlYrVnVCbUZrV1ZVZE5ON3RGbkZjZS90WjJYSVlPL3Q3dFFobUJuOXRFa0dJ | |
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481 | ZVJpRVlzeHRWCmxIOVVBekdMMEUxRFNReHJNR1pWZENyL3NBUmlOdlRKS0x6SzRBcXhqcktwYmtG | |
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482 | cW9yMzg2MFNjMWI3YUpHb1ltQ3BlNVphSDlXTFkKZEsyUWRSaWl2cXVrdmZ3TDhmYmsya29SbzNl | |
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483 | ODJNcFY1SzZHaGljUlJRWmpqaUtkeWw5MElHWkRSZFM5cWJnYlJRZGpqaHJkeWw5MApJR1pEUlF6 | |
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484 | cnUvZGZJTlpjMHR3anY0dDNWT2luL0M5ejREMGk4TFdTWldwb2FHaG9hR2hvYUdob2FHaG9lRUx3 | |
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485 | UDZkNXJ3ekdpM0JICkFBQUFBRWxGVGtTdVFtQ0MK | |
|
|
486 | </png> | |
|
|
487 | <latex>$$1 + \frac{1}{2} x^{2} + \frac{5}{24} x^{4} + \operatorname{\mathcal{O}}\left(x^{6}\right)$$</latex> | |
|
|
488 | <prompt_number>13</prompt_number> | |
|
|
489 | </output> | |
|
|
490 | </outputs> | |
|
|
491 | </codecell> | |
|
|
492 | <codecell> | |
|
|
493 | <input>diff(cos(x**2)**2 / (1+x), x)</input> | |
|
|
494 | <language>python</language> | |
|
|
495 | <prompt_number>14</prompt_number> | |
|
|
496 | <collapsed>0</collapsed> | |
|
|
497 | <outputs> | |
|
|
498 | <output> | |
|
|
499 | <output_type>pyout</output_type> | |
|
|
500 | <text>2 | |
|
|
501 | β 2β β 2β β 2β | |
|
|
502 | 4β xβ sinβx β β cosβx β cos βx β | |
|
|
503 | - βββββββββββββββββββ - ββββββββ | |
|
|
504 | x + 1 2 | |
|
|
505 | (x + 1)</text> | |
|
|
506 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQU5zQUFBQXJDQVlBQUFEeEVmMVpBQUFBQkhOQ1NWUUlD | |
|
|
507 | QWdJZkFoa2lBQUFCdEZKUkVGVQplSnp0bkhtSVZWVWN4ejh6by9QVXByRnlHd2ZGYUZFelRVcEpJ | |
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508 | OE5DSXpHTE1qWE5tZ3FtS0dtRHNFSmFuaEpoQ0VXMjBVNkcwb0pGClJWSlVmNVJoV0xaQlZtQmxr | |
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509 | S25oUWd1WnFXbC9mTy9yM2pmejd2cnVlK2U5Ni9uQU1PZmVjOTQ1di9PNzkzZk83NTROTEJaTFZX | |
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510 | Z3cKTFlCaGpnRjJSMGpYQk53T0hBVCtBUjVNa0VjYTFKdTgxU2FvM2w2c0hxdk1SR0J5eExRWEF5 | |
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511 | YzQ0ZGM5WVlEemdmRXB5dVZIdmNscgpncUI2RnpDbXg4WTRpVE5FRGlucmc0anBqd2N1ZE1JL0FN | |
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512 | TTljVzhCTndPdHFVblhuWHFUMXhSQjlRYXJSeU1zQUU2TGtUNEh0RGpoCmQ0RzJMdkhqZ1d0U2tN | |
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513 | dVBlcFBYRkdIMXRucE1pVGk5OUtxRVpad0RMUFNKZXp0aG5sR29OM2xONDFkdm8zck1paHM1R2Zn | |
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514 | MFl0b2UKUU84RVpSd05uQWtzODRrZlFHWDBXVy95bXNhdjNsYVBLZEVNOUl1WXRnMVlrYUNNRzlB | |
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515 | RE93S1lVaUwrVldCd2duekRxRGQ1VGVOWApiK042ckNXTGJQS0VlL2lrOGJ0L0FOaEY5Nm1NVXVs | |
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516 | YmdiMHhaZWdBN2dPMkE3ODRmMTNaaGxxNXNIekQ1T3Q2ejRTOHBvaWpwMUwzCmcrcHRYSTkrbGFn | |
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517 | bUxhaFN2NlB1K2t1Z0hiVWtCVDk1QUhBajhCVXdDRmpwcE8vdC9QWnNZQ2t3M1FrdkFZYWhEOXhM | |
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518 | Z0JtZThuNXoKNHVMSXNJTHdWbkdJOC9zQ0RiaHpOSnVCbnVpYm9RbFlCUHlGR29rVGdadUEvajUx | |
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519 | ckphOHBvaXJwMFA0dnc5QjljNjZIaU54UFZJdwp3Q1pVNlF1QWVaNDBTNEM1VG5nWmNKWVQ3Z0Q2 | |
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520 | b0kvVWVjaVZYSXRHblFyOEFSenB1VzVFU28wclF4aWZBNzA4MTAvZ05oYVhBMnVjCnNsYzU1UlY0 | |
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521 | RDVpR2Z4MnJKYThwNHVvSi9IVVZSS2IxdUNBOENlQUtPaEQ0bGRLcld1YWpGdTVEMUZNVmFBYUdv | |
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522 | am1RSERLODNiZ0sKSEFYOFdDSy9OeW51MWFQSUVFUUR4YU5TWTVITDBleGM1NXkvU2NEM0ZMc3Q2 | |
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534 | d0VzSjhsaE05L202RnVTbmI4Y08KbUdTSnBPOUl2UlAxSUNFanZJZ2QrcmRraHlnSENZV1M5Z3FT | |
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535 | VVdoOVlpZGFqN2dmemJ0dFRybWNlbVE0V25ObnYyM3JqeG5vK1gwTQpuSTYyMUd5S20wbmFtMGVI | |
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537 | ZTBHCllGYkZwY2tHcHFjSy9Nb1BPdmdubEZvNkZxRldpSEk4UXh5MkFIdFN5T2R3b1IvYURWQXRo | |
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538 | cU5GODE1T1JudnF2SVFkL0JPS05UYVgKRnJUa2JDN3dHSEF0bXF4UHJGeExJanJSSVRybFVvNTcv | |
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539 | elVhZStqdnVUY2ZyZm4xTy9nbmxGbzRnNlJXdUFKNENnM3E1Tkc1RnR0dwpEK2tFdVlOblVPeG1I | |
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540 | SWUyZ1JUWWgzWVFXK0l6QW0yaFNXTjUxeXhrTkg3c1Fzc0w1L2pFUHdSY0JpekhQZmduajJ4bVlo | |
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541 | S0JyTEc1ClBJY01iU0RhQUxzT3U2YXYya3hIUSt0ZGFRTCtkY0k5MEFGQTViSWxKSDRuY2h1WEUr | |
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542 | M2duMUNzc2JrVTVnV25vTFBnRDZFZXJEL3UKU29nOXdQdGRmamVKZUx1RkxmNk1SRDFLZ1NnbnIx | |
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543 | V1NWQnRiYTJ3aWgzWUlYNDNjajArYyt6TlJEMWN1UjZGNXg2R2sxekpua1Y1bwpsVWFCS0s0OVZN | |
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544 | NjkzNHZHTlE2R0pZeUNOVGJSaUI3b0hPQng1TTUwQUQraGgxc09VMUh2dHhJWjNDSTA2UEozbWZs | |
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545 | bWtRTm9OSEtYCmMyM2F0ZTlMU29abVNZY0pwZ1hJRUFzcFBmaVE1UFNyZk1ReWcrWS8weGdWL1I4 | |
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546 | NzlGOCs2MDBMa0NIVzRBN0RlMCsvbWdWODV0eWYKU1hvZVdWZjMza3NyOEUxSzVRRFcyQ3kxeFVZ | |
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547 | MG9keUw3cTc5SU9UYTc2QjgxeDdrM3Q5Q3NYdnZQY1JuSVpwdnRWZ3lTenR3VlFyNQpsT1BlajhC | |
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548 | Ly9zMWl5UlRONFVreVhiN0ZZckZZTEJhTHhXS3hXS3JNZjJsWHdmdG1Fc3IrQUFBQUFFbEZUa1N1 | |
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549 | UW1DQwo= | |
|
|
550 | </png> | |
|
|
551 | <latex>$$- 4 \frac{x \operatorname{sin}\left(x^{2}\right) \operatorname{cos}\left(x^{2}\right)}{x + 1} - \frac{\operatorname{cos}^{2}\left(x^{2}\right)}{\left(x + 1\right)^{2}}$$</latex> | |
|
|
552 | <prompt_number>14</prompt_number> | |
|
|
553 | </output> | |
|
|
554 | </outputs> | |
|
|
555 | </codecell> | |
|
|
556 | <codecell> | |
|
|
557 | <input>integrate(x**2 * cos(x), (x, 0, pi/2))</input> | |
|
|
558 | <language>python</language> | |
|
|
559 | <prompt_number>15</prompt_number> | |
|
|
560 | <collapsed>0</collapsed> | |
|
|
561 | <outputs> | |
|
|
562 | <output> | |
|
|
563 | <output_type>pyout</output_type> | |
|
|
564 | <text>2 | |
|
|
565 | Ο | |
|
|
566 | -2 + ββ | |
|
|
567 | 4</text> | |
|
|
568 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUZnQUFBQWlDQVlBQUFEYkxCNlRBQUFBQkhOQ1NWUUlD | |
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569 | QWdJZkFoa2lBQUFBMUJKUkVGVQphSUh0Mm0yb1pWTVl3UEhmTmN5ZG1kenJaY1FZVjE1R2xEQjVu | |
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570 | YWJ4aGZqRTBBZ3A2WktSOFVXa3BQZzJFc3BiVW56d2JpUmQrU2dVClg1U1V1R1hTNUhVd0tDK1pT | |
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|
571 | eHJ1MFBIaDJidTc3M0Z1enQ1bjdiT3ZNK2RmcTczVzJucy82em5QV2V0Wnozck9ZVWl0TEdsYWdS | |
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572 | b1oKdzM3NHEybEZCbzBEc0E3YmNWYkR1dGkvYVFWcVlCUCt4RVNmeHoxQ2VJVHZpcDJEYU9DWHMy | |
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573 | dS9YTU1TM0NVTWV5UXV3Vlg0ak1FMApjTCtaeE9kNElXdXZ4TFBZUUd3Q1EzcmpjTnhTYUg4b2ZI | |
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574 | OXkyNjdEZzNnSzF3dWYxQ1EvNmQ4bU4xcW9QNHkzVXc5d0k3WmhiVlplCndiYzRKZlZBSmVpbmdY | |
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575 | UFdDSGR4UWtxaHgrQURFUjdsck1nRytrRzFXRHRGZlA0enprNGdwMXNPRmhOclRXckJtekV0WEVT | |
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576 | UlI5SEMKK2dveXQrR2dpdnBjamlmd3Z2akFkMWFVVTRZVnVCK0haTzN6TUVLYUtHS1pjQXViOFY2 | |
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577 | aGYyZDJYWXQzUzhvY05YOUZsR0VxSy8xaQpLUjdEYTdMSUFaZksvSEFLQXorSjMvQm1XMysrVkxZ | |
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578 | bkdLUGZuSWFic1dxQit5M2NJeWJPTlRnMUt6bnY1SldSbWhSY2lpL3dlemJ3CmJNbjNwN0JGYkZU | |
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579 | OVpoSmJ4WXljd0Y2eEdzL0JKOWlkOVQyQ1hRM29oNGdMWjNGdXhmZW5jTmgvUE5PcXFUeGpMb1o5 | |
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580 | d055UiswVnoKUHJaUlRzWU1MdXRCUmpjR3JvTmp4WjZTODNxaFhzblZGWDN3aWJoVjkyN2pTOXpY | |
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581 | MXJkU0dPZGF2TnFGakx0MTluTm40aUdSdENuUwp3cjBpQkt5RG5ZWDZlaEhMRTEvMnNuODkzUVZG | |
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582 | QTMrRngzVnY0TjF0N1ZHOGhOdUUvNElEc1ZyNHJrNDhoL0VPL2NlSnBUclQxdC9DCk4xM3ExeXMz | |
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583 | NEsyc1BvR2poTDBheVMrUDRHbGMxTlovUHE2c0lLOHBGNUZ6cU5pZ1YyZnRDOFdYVy9wa21pcWJ0 | |
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584 | bFZFRG1NaVZVZHMKRkp1eWUvODNiaEpSVUo3Yi9TVzducTZCc1BNS0MrL0lmMk41QlptcFp2QUcx | |
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585 | ZklSbjVwL0Foekg5eUx2VzRvVU0vZ2piRnpnM2l6MgpKQmlqQ3VONEhyZUxZM01aTm1KSG9mMnJT | |
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586 | QVg4V0ZhSkZBYmUwYVpNQ3ZJVjBBdGI4SEhGZHp0OW5xK3JDRnFzQ2ZjN1JEYXNLaGZqCkRmeVJS | |
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587 | cDNxTEZZRDl4TG5yaEsvTWt3bjBxVW5GcXVCZTJGU3hOQ0xna0g3NDhuVjRwZmQ0M0VHTGhBSG9M | |
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588 | M3FPLzN0VXl3WDRWMWUKcG5HZHpxZkZ2akJvTG1LUFNISE80R2hoNUpQRWtiMFI2c29ITjgyWStj | |
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589 | ZjJYUXBKOENGRGhnd1pzbS93RDloWXFhWFRLRUtMQUFBQQpBRWxGVGtTdVFtQ0MK | |
|
|
590 | </png> | |
|
|
591 | <latex>$$-2 + \frac{1}{4} \pi^{2}$$</latex> | |
|
|
592 | <prompt_number>15</prompt_number> | |
|
|
593 | </output> | |
|
|
594 | </outputs> | |
|
|
595 | </codecell> | |
|
|
596 | <codecell> | |
|
|
597 | <input>eqn = Eq(Derivative(f(x),x,x) + 9*f(x), 1) | |
|
|
598 | display(eqn) | |
|
|
599 | dsolve(eqn, f(x))</input> | |
|
|
600 | <language>python</language> | |
|
|
601 | <prompt_number>16</prompt_number> | |
|
|
602 | <collapsed>0</collapsed> | |
|
|
603 | <outputs> | |
|
|
604 | <output> | |
|
|
605 | <output_type>display_data</output_type> | |
|
|
606 | <text>2 | |
|
|
607 | d | |
|
|
608 | 9β f(x) + βββ(f(x)) = 1 | |
|
|
609 | 2 | |
|
|
610 | dx</text> | |
|
|
611 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUpvQUFBQXFDQVlBQUFCTE5VSmlBQUFBQkhOQ1NWUUlD | |
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|
612 | QWdJZkFoa2lBQUFCYWRKUkVGVQplSnp0M0dtc1hWTVV3UEZmbjdhcUxXcG8xRkJlYTNveHRZYVcw | |
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613 | a1JOSVVKUVFjUVVIMFJyNkJmRUdLS2ZLa1NNUVVrUVU0Z1lhaFpKCm41Qis0SU41bnFwRlU2Mmh2 | |
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614 | Q3FDK3JET3pUdHU3L0RlN2J2bnZIdWRmM0p6enpsMzczM1dXVy90ZmRaZWUrMUhRVUVHRE1sYmdC | |
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615 | YmoKWEd5TXNiZ2MvK1FyVHV2UWtiY0FMY1JPK0I0MzRIZk16RmVjMXFJd3RMN1RpUk9TNHkrd1Mz | |
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616 | NmlGTFF6UTdCRmNud2JEczVSbHBhagpHTkZxTXdySFlsT3N4US9ZRHNQeGFvNXlGYlFaQitGRVlW | |
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617 | U3pSY2VjaXhGNUNsWFF2bXlDRDNDRzN0Zm5jZm1KVTlETy9JbzFXSmw4ClRzbFhuSUoyb1FOejhE | |
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618 | Qk94aUpNejFXaUZxYVlERlJtQ0o3R3ZqaGJUQVNtNGNjOGhXcEh0c0hFQnVxTnduN1ljR0RGeVp6 | |
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619 | VDhCdEcKSnVkSDQyZHNrSU1zcmFiVDRaaFFmckY4UkRzTUwrQXNvZHduUksvdUM4ZmorYVNOTnpD | |
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620 | MFVVa0hBVWZoSldGc3hMTTloYjh6bHFQVgpkRG9VajRtbHVxcnNqeDdSZTBvY2djOHh1czROdHNC | |
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621 | cUVYTjZFRXN4ckVGaEcrR2NBVzd2VGx5UkhIZGhGWFljNEh2VUkyK2Q5b2NkCk1Rc0xoWnN4cjFi | |
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622 | aEY3RzQ3TnBvc1hCOGNaMGJuWlhjWUt4WWRCNVp1L2lBMHozQTdSMkUxOFc2NWpzNGNJRGI3d3Q1 | |
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623 | NjdRL25DN2MKalVQVU1iU2hZdnErcU1Kdmk0VVIxdUllZk5tUWlBTkRkeFBhSEk0ZG10QnVYOGxi | |
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624 | cDQwd1RoVkRLL2xvSTBTUFdWdWg4a3JWZS9SKwpPRnlNQU44bHgxT0U0MXJKY1I2SnZmU21KM1Zn | |
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625 | SDR4SnprZlZmbzVNK1JOZjUzRGZ0dFJweWJuc3dmdGlUYStjQ1dMb0hpSFNZOUxzCmpTMkZIL01r | |
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626 | Sm90VW1vbDR0S3pzTEdIeHkzQy9pRTFkaGRlRUR6SlRLUGQrL0xVZXo5VHFaS25Ub2RoVi8vSVNW | |
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627 | K09yZnBSZmgvUHgKQjdaS1hac2hvdUZyc1hXVmVwT1MzNDlJem8vRStMSXlNM0ZTNnZ4Rk1WSnVL | |
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628 | WloxMXVMUTVCNG5OeUI3ZHdOMUJqTlo2YlFMRHdpago3T3ZuNWhweVYzMTFwcWZMdHd2cm5vOXJF | |
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629 | NEduNEQzc0tYcFZKU1luMzI4bjM3dUwwRUNhR1NMS1htSmJMQkNLV1NCNlhjay8zRU5NCmtjdnBF | |
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630 | SXFwRkdRZWxkUXJaNDNJSFN0UnlUWElrMm9qU1ZZNi9WZ1laZE1wajh2TUVUM25LREU4emhNemlv | |
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631 | OVZqeUZORnI3RWl1UjgKb3dwbDBnclpETHZodXVSOGxmOU9RcXJGaXJiQ1pTb2IydmJKYitYMGlO | |
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632 | ZExpVlpKWGM5S3A1bFJTWUNsdURzNTNrQU12UXRxdERGWgpiOCtqZmdyTkRHRXNDNnY4WG0zVVdZ | |
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633 | WXpxL3pXTFRwRXU1Q1ZUb2VKVE9HbSsyaHBReXRONXo5TFhac2lKZ0szMW1oakV1NUluZGVMCjl4 | |
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634 | d3FYbWZmcHE0ZGkyZVM0M3JCNFN6SmF6TktWanFkSUdLay9URzBsZXJIVmRjaGJXaFg0bW94dXls | |
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635 | WjdJWGlnZCtzVXI5VEROdnAKM3JkYzlLN1NIMlVpSHNKRlNUdkg0SzFVK1gzRjJtcTYvbUNndEJu | |
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636 | bEx1R3p6c1RqR2R5M1UzWTYvVlFrRFRTZHRML3pKRDRVUStNWQpYQ01FdnJKRy9iMlQ3N1JTSHZi | |
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637 | ZlY5eDA0YWd1eDZWaTdXNjhlQzFQdzNraU9FbXM3VDNid0hNMGcwNzViRVpwVloxdUtsWUdZR29p | |
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638 | ClQ5VWxzeU54bzVqR1hxS3lFNXBtTHBaVXVENWRiM0J4aEJncGIwcmFKNVIyaTBnZVRBY2hEOUVZ | |
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639 | M1EzV3EwVmVtMUVHaTA3N3d4eTgKVXVIenN2VmNueTFGblo4WHI1YTh1YlNKYlc4blFqN05ackRw | |
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640 | TkhmbTR4dlJhNzdYRy9OcEI5Szduc2h1TTBvNzZ4U05KZktkTDVaQwp4b3ZYeXgyMWk3Y1VVNFdS | |
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641 | M1NUY2hpN2hSdndxTnFOODBxVDd0ck5PRzZZTDE0c2NzTUdhSDdXK2JDSW1SYi9JWmpQSy8wR25C | |
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642 | VlY0ClY4VFBDZ2FBM0pjbUJoRWR1QUFIaUxUdEhySDJ1NkpXSlRFYjNVYUVncDdEenNtMTJXSkVM | |
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643 | RkRzZ2lyUjZLNm5yWVdSUFNJU1JDOFMKZ2RReGluOXBWVkNCUm5jOWJaNHFjNitNb3V3RnJjc0RZ | |
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644 | bVdreEh6YzE4ODJsb29zRXVvSHV2OTNGRDVhc0JvZkpjZGRZb2E1VHgvcQpuU0IwK0tVWTJaYUk1 | |
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645 | SVF6WkJQa2JSbnkyQkE3R1BsSnJBL3VKbFlaVGhXenpucWNMakpleG9nMHBuRWk0K1Voc2VlZ29H | |
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646 | QWRHdDMxCmxINHJGSk9yZ29LQ2dvS0Nnb0tDbHVGZkpDRTlsUmJtTXlNQUFBQUFTVVZPUks1Q1lJ | |
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647 | ST0K | |
|
|
648 | </png> | |
|
|
649 | <latex>$$9 \operatorname{f}\left(x\right) + \frac{\partial^{2}}{\partial^{2} x} \operatorname{f}\left(x\right) = 1$$</latex> | |
|
|
650 | </output> | |
|
|
651 | <output> | |
|
|
652 | <output_type>pyout</output_type> | |
|
|
653 | <text>f(x) = Cββ cos(3β x) + Cββ sin(3β x) + 1/9</text> | |
|
|
654 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVJFQUFBQWlDQVlBQUFCNERlMDVBQUFBQkhOQ1NWUUlD | |
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655 | QWdJZkFoa2lBQUFDVHRKUkVGVQplSnp0blgyUVZsVWR4ei9Md3U3S0xxa2hpQmk0cWVTaWlNd3VC | |
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656 | bzJLVWhaS1VUcnBtSnBHcjVodHBxaXJGak9pK1lMQWFKbWcwc3M0CmlvVm1qVzg1ak5vSVVWWVlO | |
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657 | aTRXaWFFbURSUDBicG1LMXZiSDk5eDV6bk9lZSs5ejcvUGN1OC9zNVh4bW50bm4zbnZ1dWVlZTM3 | |
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658 | bm4KL043dXMrRHhlRHdlajhlVEVaM0ErOU9jTUN5ZmRuZzhuaUhHa2NBaTRGRmdScG9UaCtmU0hJ | |
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659 | L0hNOVI0QWJnTzZFcDdvcDlFUEI0UAp3S3UxbnVqTkdZL0hVeGQrRXZGNFBIV1J4SnhwQmM0SHhn | |
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660 | Ty9BSDZRYTR1eXBRM29BV1lDM2NBdTRBN2dHWFR2QzRBVmpXcGNETU9CCi93SURabnNxY0Rwd0FM | |
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661 | cUgxY0J2YTZpMzJkVDV2d3phV0N1RExaTTJZQWx3Ti9CVW5YVVZXUzY1OGtQZ0dpVGNWNEdSalcx | |
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662 | T0lwclEKeFBjeThHM2dUR0IvNE4xbWV3RVMrTmNhMWNBWVJnQjlsQ2I0YzRCYmdiSG1XQzhhYkor | |
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663 | cm9lNTJVM2NqYUpSTVRrQVAvb2ZxcktlbwpjbkZaamFJMG1YRTBtaUY3VUNkZG1XWGxPVEVSZUJ6 | |
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664 | WUJod2FjbndZQ21NTlVQL0F5b1ByME1NVjhBSndnN1hkQk93RVhrR0ROeTJuCkFCZlUzRHF0bW1s | |
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665 | cHRFejJ5NkNPSXNyRnBoVjRKN0FCdUF2SkxKUEF5MWVBMTZpdFV4ckJ2bWlsMjRSV2lDaE9BOTRF | |
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666 | UmcxR28xSncKQk9VRHN4WDRCL0FIcDl4R3RMcStyY2JyM0lWV3Y3VDBBRmVuUEdlb3l3U0tLUmVY | |
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667 | THVBODV6T3V6am9CZUFoNE1vdUtCb252SXlGTwpybEx1TU9CbitUY25OY3VSOW1jemdmSVZjRGp3 | |
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668 | ZHpSZ2EyVStNaC9TTWhQNUY5SXcxR1VDeFpSTFprU3BLeXVST25NODhFL2dZYVNLCnJnSitod1pG | |
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670 | UUY0RWEwWWJ6aGwKUmlEN2V6YlFBZHhENVVQeFliUnE3QWI2MFNSdE13dTR3dG0zM2RuK3BMbldw | |
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671 | MFBhbVVRV2J3SFBJUzN6OXBBNnNtUSsrY21rV2w4MgpBNTlBZmJFQ09UNERKaUx6L0NYZ202YnN4 | |
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672 | OUJFTndBc0EvNXFsUythWEFhRlpqVExEZ0NmUXBQTmFDcnQxWDJSYytsQTVBWGZBdHdJCmZCRTRI | |
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673 | TmhoemprZE9EamlXbVBRNVBTdEZKK1ZWTnFBVDVyMlRrcC91N0ZjRGZ3Y21HTzJsMU01b0tZQ1c0 | |
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712 | </png> | |
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713 | <latex>$$\operatorname{f}\left(x\right) = C_{1} \operatorname{cos}\left(3 x\right) + C_{2} \operatorname{sin}\left(3 x\right) + \frac{1}{9}$$</latex> | |
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714 | <prompt_number>16</prompt_number> | |
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715 | </output> | |
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716 | </outputs> | |
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717 | </codecell> | |
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718 | </cells> | |
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719 | </worksheet> | |
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720 | </worksheets> | |
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721 | </notebook> | |
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1 | { | |
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2 | "nbformat": 2, | |
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3 | "name": "sympy", | |
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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": "<h1>SymPy: Open Source Symbolic Mathematics</h1>", | |
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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": 1, | |
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17 | "input": "%load_ext sympyprinting" | |
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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": 2, | |
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25 | "input": "from __future__ import division\nfrom sympy import *\nx, y, z = symbols(\"x y z\")\nk, m, n = symbols(\"k m n\", integer=True)\nf, g, h = map(Function, 'fgh')" | |
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26 | }, | |
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27 | { | |
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28 | "source": "<h2>Elementary operations</h2>", | |
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29 | "cell_type": "markdown" | |
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30 | }, | |
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31 | { | |
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32 | "cell_type": "code", | |
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33 | "language": "python", | |
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34 | "outputs": [ | |
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35 | { | |
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36 | "output_type": "pyout", | |
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37 | "latex": "$$\\frac{3}{2} \\pi + \\frac{e^{\\mathbf{\\imath} x}}{x^{2} + y}$$", | |
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38 | "prompt_number": 3, | |
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39 | "png": "iVBORw0KGgoAAAANSUhEUgAAAGkAAAApCAYAAAA22gdWAAAABHNCSVQICAgIfAhkiAAABGRJREFU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\n", | |
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40 | "text": "\u2148\u22c5x \n3\u22c5\u03c0 \u212f \n\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\n 2 2 \n x + y" | |
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41 | } | |
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42 | ], | |
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43 | "collapsed": false, | |
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44 | "prompt_number": 3, | |
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45 | "input": "Rational(3,2)*pi + exp(I*x) / (x**2 + y)\n" | |
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46 | }, | |
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47 | { | |
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48 | "cell_type": "code", | |
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49 | "language": "python", | |
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50 | "outputs": [ | |
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51 | { | |
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52 | "output_type": "pyout", | |
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53 | "latex": "$$-1.0$$", | |
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54 | "prompt_number": 4, | |
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55 | "png": "iVBORw0KGgoAAAANSUhEUgAAACsAAAASCAYAAADCKCelAAAABHNCSVQICAgIfAhkiAAAAV1JREFU\nSInt1b1LHEEYx/HP+VacTdKpKKKFXIqIIBZahBTX2Pk3pIpVIFhoMF26A8FKsLKzCqnTpxILUUjh\nW6FFbIIIuSKceBY7q8uyB9l7CSf4g+Hh+T47z/wYZmd4Qip0oOcX3KCSc14ZyzhBHRfYaq+1R5VE\nButYzTl3GlVMhrwfe/iQ/KinRYOxKlhBrcn5a/iB85DXsBv6jrbsroFK8u/sOG7xMcVfhV7vYtCu\nnW1FM+gVndWkTkN8G4NuMDsU4p8Ur4UxHINuMlvNqFXxIk66wezfEO8yav1J3g1mjxrwAor4FYO+\nRPE1tv37Q3GA9824S+kwxJcpXgxermKQNHuE+TYsnleXuMZYis+F+LDz//sYDGAigx9iMcXK+I2d\nTplZEF3kGw3q30UPwGyKvxH9+VMhH8Qx1jvg0Sfsi+7Kehg/g7mkKjjDSEaPJXzDJr7is+ixeNaz\nkroH5AA9SswlEREAAAAASUVORK5CYII=\n", | |
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56 | "text": "-1.00000000000000" | |
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57 | } | |
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58 | ], | |
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59 | "collapsed": false, | |
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60 | "prompt_number": 4, | |
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61 | "input": "exp(I*x).subs(x,pi).evalf()\n" | |
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62 | }, | |
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63 | { | |
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64 | "cell_type": "code", | |
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65 | "language": "python", | |
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66 | "outputs": [], | |
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67 | "collapsed": true, | |
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68 | "prompt_number": 5, | |
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69 | "input": "e = x + 2*y" | |
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70 | }, | |
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71 | { | |
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72 | "cell_type": "code", | |
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73 | "language": "python", | |
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74 | "outputs": [ | |
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75 | { | |
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76 | "output_type": "pyout", | |
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77 | "prompt_number": 6, | |
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78 | "text": "Add(Symbol('x'), Mul(Integer(2), Symbol('y')))" | |
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79 | } | |
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80 | ], | |
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81 | "collapsed": false, | |
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82 | "prompt_number": 6, | |
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83 | "input": "srepr(e)" | |
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84 | }, | |
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85 | { | |
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86 | "cell_type": "code", | |
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87 | "language": "python", | |
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88 | "outputs": [ | |
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89 | { | |
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90 | "output_type": "pyout", | |
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91 | "latex": "$$262537412640768743.99999999999925007259719818568888$$", | |
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92 | "prompt_number": 7, | |
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93 | "png": "iVBORw0KGgoAAAANSUhEUgAAAfwAAAASCAYAAAC+a2xVAAAABHNCSVQICAgIfAhkiAAACXtJREFU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\n", | |
|
|
94 | "text": "262537412640768743.99999999999925007259719818568888" | |
|
|
95 | } | |
|
|
96 | ], | |
|
|
97 | "collapsed": false, | |
|
|
98 | "prompt_number": 7, | |
|
|
99 | "input": "exp(pi * sqrt(163)).evalf(50)" | |
|
|
100 | }, | |
|
|
101 | { | |
|
|
102 | "source": "<h2>Algebra<h2>", | |
|
|
103 | "cell_type": "markdown" | |
|
|
104 | }, | |
|
|
105 | { | |
|
|
106 | "cell_type": "code", | |
|
|
107 | "language": "python", | |
|
|
108 | "outputs": [ | |
|
|
109 | { | |
|
|
110 | "output_type": "pyout", | |
|
|
111 | "latex": "$$x^{3} + 2 x^{2} y + x^{2} + x y^{2} + 2 x y + y^{2}$$", | |
|
|
112 | "prompt_number": 8, | |
|
|
113 | "png": "iVBORw0KGgoAAAANSUhEUgAAAQ0AAAAbCAYAAABm6to6AAAABHNCSVQICAgIfAhkiAAABXNJREFU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\nOFM1l1Xqnqo5TyQSiUQikUgkEv8v/gNI9gkr+UdTSgAAAABJRU5ErkJggg==\n", | |
|
|
114 | "text": "3 2 2 2 2\nx + 2\u22c5x \u22c5y + x + x\u22c5y + 2\u22c5x\u22c5y + y" | |
|
|
115 | } | |
|
|
116 | ], | |
|
|
117 | "collapsed": false, | |
|
|
118 | "prompt_number": 8, | |
|
|
119 | "input": "((x+y)**2 * (x+1)).expand()" | |
|
|
120 | }, | |
|
|
121 | { | |
|
|
122 | "cell_type": "code", | |
|
|
123 | "language": "python", | |
|
|
124 | "outputs": [ | |
|
|
125 | { | |
|
|
126 | "output_type": "display_data", | |
|
|
127 | "latex": "$$\\frac{x \\operatorname{sin}\\left(x\\right) -1}{x} + \\frac{1}{x}$$", | |
|
|
128 | "png": "iVBORw0KGgoAAAANSUhEUgAAAHUAAAAeCAYAAAASN1ElAAAABHNCSVQICAgIfAhkiAAAAyFJREFU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\noZik/6S2SgAAAABJRU5ErkJggg==\n", | |
|
|
129 | "text": "x\u22c5sin(x) - 1 1\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\n x x" | |
|
|
130 | }, | |
|
|
131 | { | |
|
|
132 | "output_type": "pyout", | |
|
|
133 | "latex": "$$\\operatorname{sin}\\left(x\\right)$$", | |
|
|
134 | "prompt_number": 9, | |
|
|
135 | "png": "iVBORw0KGgoAAAANSUhEUgAAADAAAAASCAYAAAAdZl26AAAABHNCSVQICAgIfAhkiAAAAnVJREFU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\nfj0LzBdrAAAAAElFTkSuQmCC\n", | |
|
|
136 | "text": "sin(x)" | |
|
|
137 | } | |
|
|
138 | ], | |
|
|
139 | "collapsed": false, | |
|
|
140 | "prompt_number": 9, | |
|
|
141 | "input": "a = 1/x + (x*sin(x) - 1)/x\ndisplay(a)\nsimplify(a)" | |
|
|
142 | }, | |
|
|
143 | { | |
|
|
144 | "cell_type": "code", | |
|
|
145 | "language": "python", | |
|
|
146 | "outputs": [ | |
|
|
147 | { | |
|
|
148 | "output_type": "pyout", | |
|
|
149 | "prompt_number": 10, | |
|
|
150 | "text": "[-2\u22c5\u2148, 2\u22c5\u2148, -2]" | |
|
|
151 | } | |
|
|
152 | ], | |
|
|
153 | "collapsed": false, | |
|
|
154 | "prompt_number": 10, | |
|
|
155 | "input": "solve(Eq(x**3 + 2*x**2 + 4*x + 8, 0), x)" | |
|
|
156 | }, | |
|
|
157 | { | |
|
|
158 | "cell_type": "code", | |
|
|
159 | "language": "python", | |
|
|
160 | "outputs": [ | |
|
|
161 | { | |
|
|
162 | "output_type": "pyout", | |
|
|
163 | "latex": "$$\\sum_{n=a}^{b} \\left(2^{n} + 6 n^{2}\\right)$$", | |
|
|
164 | "prompt_number": 11, | |
|
|
165 | "png": "iVBORw0KGgoAAAANSUhEUgAAAHgAAAA5CAYAAAD9YO8bAAAABHNCSVQICAgIfAhkiAAAB5NJREFU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\nCnsQh3MAAAAASUVORK5CYII=\n", | |
|
|
166 | "text": "b \n ___ \n \\ ` \n \\ \u239b n 2\u239e\n / \u239d2 + 6\u22c5n \u23a0\n /__, \nn = a" | |
|
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167 | } | |
|
|
168 | ], | |
|
|
169 | "collapsed": false, | |
|
|
170 | "prompt_number": 11, | |
|
|
171 | "input": "a, b = symbols('a b')\nSum(6*n**2 + 2**n, (n, a, b))" | |
|
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172 | }, | |
|
|
173 | { | |
|
|
174 | "source": "<h2>Calculus</h2>", | |
|
|
175 | "cell_type": "markdown" | |
|
|
176 | }, | |
|
|
177 | { | |
|
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178 | "cell_type": "code", | |
|
|
179 | "language": "python", | |
|
|
180 | "outputs": [ | |
|
|
181 | { | |
|
|
182 | "output_type": "pyout", | |
|
|
183 | "latex": "$$- \\frac{1}{6}$$", | |
|
|
184 | "prompt_number": 12, | |
|
|
185 | "png": "iVBORw0KGgoAAAANSUhEUgAAACYAAAAiCAYAAAAzrKu4AAAABHNCSVQICAgIfAhkiAAAASpJREFU\nWIXt178rRlEYwPEPXikZLH4NShTKoAyymw3KPyJlsBssVqvBYDIwCcl/gHpXr8liEYWN4bx0k3Ku\nzsmr937rDGd47vPtuc+5zz20OYN/LfCVUWxjp2xgLb3LJzOYxxCeygbnFKs31xT6ywZ3JtdJRCVW\nlrYW62iuUnRlEPlgHOtYwLBwOu9wnzFnRetRuim/4S3BM/4PxYpNYlV8FRvYSm7UpCjRg2nxYg+4\nTS1U8VtSnMqfmBP6tw97eI0Jyj0rNzGCfQxgLXO+KBZxUNgvC3Mzipyvchc3uMYYrnCeMV80dZyi\nVyjAMVZig3P2WDcu8SyMrRNsxAbnFGvgsbB/Ef7LosgpdoiJwn4YFxnzRVPDEZaEi++ZcPltGWaF\nz0TLXnwq2pN3yugjnSzSytcAAAAASUVORK5CYII=\n", | |
|
|
186 | "text": "-1/6" | |
|
|
187 | } | |
|
|
188 | ], | |
|
|
189 | "collapsed": false, | |
|
|
190 | "prompt_number": 12, | |
|
|
191 | "input": "limit((sin(x)-x)/x**3, x, 0)" | |
|
|
192 | }, | |
|
|
193 | { | |
|
|
194 | "cell_type": "code", | |
|
|
195 | "language": "python", | |
|
|
196 | "outputs": [ | |
|
|
197 | { | |
|
|
198 | "output_type": "pyout", | |
|
|
199 | "latex": "$$1 + \\frac{1}{2} x^{2} + \\frac{5}{24} x^{4} + \\operatorname{\\mathcal{O}}\\left(x^{6}\\right)$$", | |
|
|
200 | "prompt_number": 13, | |
|
|
201 | "png": "iVBORw0KGgoAAAANSUhEUgAAANoAAAAiCAYAAAA53MevAAAABHNCSVQICAgIfAhkiAAABuNJREFU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\nAAAAAElFTkSuQmCC\n", | |
|
|
202 | "text": "2 4 \n x 5\u22c5x \n1 + \u2500\u2500 + \u2500\u2500\u2500\u2500 + O(x**6)\n 2 24" | |
|
|
203 | } | |
|
|
204 | ], | |
|
|
205 | "collapsed": false, | |
|
|
206 | "prompt_number": 13, | |
|
|
207 | "input": "(1/cos(x)).series(x, 0, 6)" | |
|
|
208 | }, | |
|
|
209 | { | |
|
|
210 | "cell_type": "code", | |
|
|
211 | "language": "python", | |
|
|
212 | "outputs": [ | |
|
|
213 | { | |
|
|
214 | "output_type": "pyout", | |
|
|
215 | "latex": "$$- 4 \\frac{x \\operatorname{sin}\\left(x^{2}\\right) \\operatorname{cos}\\left(x^{2}\\right)}{x + 1} - \\frac{\\operatorname{cos}^{2}\\left(x^{2}\\right)}{\\left(x + 1\\right)^{2}}$$", | |
|
|
216 | "prompt_number": 14, | |
|
|
217 | "png": "iVBORw0KGgoAAAANSUhEUgAAANsAAAArCAYAAADxEf1ZAAAABHNCSVQICAgIfAhkiAAABtFJREFU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\n", | |
|
|
218 | "text": "2 \n \u239b 2\u239e \u239b 2\u239e \u239b 2\u239e\n 4\u22c5x\u22c5sin\u239dx \u23a0\u22c5cos\u239dx \u23a0 cos \u239dx \u23a0\n- \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n x + 1 2\n (x + 1)" | |
|
|
219 | } | |
|
|
220 | ], | |
|
|
221 | "collapsed": false, | |
|
|
222 | "prompt_number": 14, | |
|
|
223 | "input": "diff(cos(x**2)**2 / (1+x), x)" | |
|
|
224 | }, | |
|
|
225 | { | |
|
|
226 | "cell_type": "code", | |
|
|
227 | "language": "python", | |
|
|
228 | "outputs": [ | |
|
|
229 | { | |
|
|
230 | "output_type": "pyout", | |
|
|
231 | "latex": "$$-2 + \\frac{1}{4} \\pi^{2}$$", | |
|
|
232 | "prompt_number": 15, | |
|
|
233 | "png": "iVBORw0KGgoAAAANSUhEUgAAAFgAAAAiCAYAAADbLB6TAAAABHNCSVQICAgIfAhkiAAAA1BJREFU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\nAElFTkSuQmCC\n", | |
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234 | "text": "2\n \u03c0 \n-2 + \u2500\u2500\n 4" | |
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235 | } | |
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236 | ], | |
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237 | "collapsed": false, | |
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238 | "prompt_number": 15, | |
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239 | "input": "integrate(x**2 * cos(x), (x, 0, pi/2))" | |
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240 | }, | |
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241 | { | |
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242 | "cell_type": "code", | |
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243 | "language": "python", | |
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244 | "outputs": [ | |
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245 | { | |
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246 | "output_type": "display_data", | |
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247 | "latex": "$$9 \\operatorname{f}\\left(x\\right) + \\frac{\\partial^{2}}{\\partial^{2} x} \\operatorname{f}\\left(x\\right) = 1$$", | |
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248 | "png": "iVBORw0KGgoAAAANSUhEUgAAAJoAAAAqCAYAAABLNUJiAAAABHNCSVQICAgIfAhkiAAABadJREFU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\nlH4rFJOrgoKCgoKCgoKCluFfJCE9lRbmMyMAAAAASUVORK5CYII=\n", | |
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249 | "text": "2 \n d \n9\u22c5f(x) + \u2500\u2500\u2500(f(x)) = 1\n 2 \n dx" | |
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250 | }, | |
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251 | { | |
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252 | "output_type": "pyout", | |
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253 | "latex": "$$\\operatorname{f}\\left(x\\right) = C_{1} \\operatorname{cos}\\left(3 x\\right) + C_{2} \\operatorname{sin}\\left(3 x\\right) + \\frac{1}{9}$$", | |
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254 | "prompt_number": 16, | |
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255 | "png": "iVBORw0KGgoAAAANSUhEUgAAAREAAAAiCAYAAAB4De05AAAABHNCSVQICAgIfAhkiAAACTtJREFU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\nHF+toMfj8Xg8Ho/H4/F4PB7Pns7/AW58iu5gsm0fAAAAAElFTkSuQmCC\n", | |
|
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256 | "text": "f(x) = C\u2081\u22c5cos(3\u22c5x) + C\u2082\u22c5sin(3\u22c5x) + 1/9" | |
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257 | } | |
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258 | ], | |
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259 | "collapsed": false, | |
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260 | "prompt_number": 16, | |
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261 | "input": "eqn = Eq(Derivative(f(x),x,x) + 9*f(x), 1)\ndisplay(eqn)\ndsolve(eqn, f(x))" | |
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262 | } | |
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263 | ] | |
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264 | } | |
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265 | ] | |
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266 | } No newline at end of file | |
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| @@ -1,505 +1,166 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><h1>Teleportation</h1></source> | |
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10 | </markdowncell> | |
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11 | <codecell> | |
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12 | <input>%load_ext sympyprinting</input> | |
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13 |
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14 | <prompt_number>5</prompt_number> | |
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15 | <collapsed>0</collapsed> | |
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16 | <outputs /> | |
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17 | </codecell> | |
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18 | <codecell> | |
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19 | <input>from sympy import sqrt, symbols, Rational | |
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20 | from sympy import expand, Eq, Symbol, simplify, exp, sin | |
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21 | from sympy.physics.quantum import * | |
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22 | from sympy.physics.quantum.qubit import * | |
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23 | from sympy.physics.quantum.gate import * | |
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24 | from sympy.physics.quantum.grover import * | |
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25 | from sympy.physics.quantum.qft import QFT, IQFT, Fourier | |
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26 | from sympy.physics.quantum.circuitplot import circuit_plot</input> | |
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27 | <language>python</language> | |
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28 | <prompt_number>6</prompt_number> | |
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29 | <collapsed>1</collapsed> | |
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30 |
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31 | </codecell> | |
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32 | <codecell> | |
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33 | <input>a,b = symbols('a b', real=True) | |
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34 | state = Qubit('000')*a + Qubit('001')*b; state</input> | |
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35 | <language>python</language> | |
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36 | <prompt_number>7</prompt_number> | |
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37 | <collapsed>0</collapsed> | |
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38 | <outputs> | |
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39 | <output> | |
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40 | <output_type>pyout</output_type> | |
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41 | <text>aβ β000β© + bβ β001β©</text> | |
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42 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUhnQUFBQVZDQVlBQUFDTkRpcFdBQUFBQkhOQ1NWUUlD | |
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|
|
63 | RWVYZWxkTHl4dmc5QnZKV3NsbnNRR1lkS25mMjF5eCtNVgpmSTYvaFFUdkZYNTZQRmpTbVVzOC9u | |
|
|
64 | Y01VcW84WXBscnFmSkk1Qytob0Q5a3lKQWhRNFljU3Y0RlBRNHo3WW1kVjdrQUFBQUFTVVZPClJL | |
|
|
65 | NUNZSUk9Cg== | |
|
|
66 | </png> | |
|
|
67 | <latex>$$a {\left|000\right\rangle } + b {\left|001\right\rangle }$$</latex> | |
|
|
68 | <prompt_number>7</prompt_number> | |
|
|
69 | </output> | |
|
|
70 | </outputs> | |
|
|
71 | </codecell> | |
|
|
72 | <codecell> | |
|
|
73 | <input>entangle1_2 = CNOT(1,2)*HadamardGate(1); entangle1_2 | |
|
|
74 | </input> | |
|
|
75 | <language>python</language> | |
|
|
76 | <prompt_number>8</prompt_number> | |
|
|
77 | <collapsed>0</collapsed> | |
|
|
78 |
|
|
|
|
79 | <output> | |
|
|
80 |
|
|
|
|
81 | <text>CNOT β H | |
|
|
82 | 1,2 1</text> | |
|
|
83 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUdRQUFBQWNDQVlBQUFDWGt4cjRBQUFBQkhOQ1NWUUlD | |
|
|
84 | QWdJZkFoa2lBQUFCTmhKUkVGVQphSUh0MkhtSVYxVVVCL0RQakUxWnBwWVUyVGF0YWxGRW14VzAw | |
|
|
85 | MElMSWtVVVdVRUxHclRRUmhHbFFkRktrVzFpQlNHMldCRmFFcEpaCk5HV203VVpobTBVYmJiUkhX | |
|
|
86 | UlExL1hIdWo5K2JOKy85Zm0vRzBiYmZGeDd2M1hQT1BmZThjKzg5NTl4TEMvOHFqTWI1ZUFqUFlR | |
|
|
87 | Rm0KWVN1MFlTWkdKdG5OMElYbDZNYkxCZnJHNHUzRTc4WjdPREFuMDQ1ak1BZjNwR2NCcnNZNk9k | |
|
|
88 | bXVwT2RyUEpYa3ZrdTBkekUvMFQ5Swp0RXY2OVBmTnNTY1c0dHVNSGMvajZNU2ZKUHoyVytKL2hH | |
|
|
89 | ZXhiVjhIR29TTDhSbk93S2dNYjNNOGpSbkN1WGxjZ05lVEFYdVY2Ty9DClVRWDByYkVNMHpFa1Er | |
|
|
90 | OFFDK0hkTkQ1c2dxK0VVL0s2ZjhmNkdkb2FlQklubGRpenNyaGQvTzh1SmZ4MzhJM2VDNm9TT3JF | |
|
|
91 | RUgySzcKRXBsZGt3RzNGZkJtWWUvRW4xblMvNzRDMnViNEFDZVg5Rms3MlRRbnRjL0IrSnpNbWxn | |
|
|
92 | aDdNL2pNcjBuYjZDd0RKK1g4RFlXdm5pNApQNHJYd0F2Q01SczNrZjFTNzFYZWhnZlQ5eXY0QlNO | |
|
|
93 | eU1pTndTNDQyVXF6K081cU1lWS80dVMzU09JTnkvTnBDdUs2Zzc2MTY3cHFCCndnWnB6RmtsL0Ft | |
|
|
94 | SmYyNFZaZTI1OWhYWUExT1V6M2dOeTBWNHlHSkhzVnFJc0RNWXArUms5c1dpVEh1WUNDZnJWakQ2 | |
|
|
95 | dmZUZUdmUHcKUjQ2L2Yzb3ZMT2o3aXNndkE0MzkwanZ2aXhvT1NPOGlteHBpRi9HRHkvU2VxQ0lj | |
|
|
96 | VjBBN1U5MHBRL0M5bUxpMmpNeU42b1VBWENoVwowRFVWeHJ3N3lSYU5UU1R4UHpDOGdxNkJ3czND | |
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97 | cGxFbC9PWENEMVY4MmdPWEpzVVQrMjFhNUl6Qm1mWXRTZWNoR2RyOW1lOTJmSnhrCnhsVFEvM0tT | |
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|
98 | M2JLQU53Zy80dFhxNWc0SWx1SlhzUmp5ejlQQzNubjlVZnhZNnJ6YlNoajNZSzY5ZmRKWlM4VERS | |
|
|
99 | RVZTdzFhSi8xVUYKM2V1TG5GUVdTbmRQdW02cWF1d0FZRDJ4SS9QL1hVTXRmMXhVVldGMkcrMkpQ | |
|
|
100 | L0ZtaFg2akMyaWp4UGJNNGkyeFNzWmhVK3lEeFJsKwpyUjcvb01LWVo0amRONmVFWDR2bGZZN1ZL | |
|
|
101 | NEY5aEE4WE5lRFRUNXVXaWxxNUdUWlVITzlQdzZFRjlHUEZLcmtjMStvWmJuWkt2Q2VhCmpMa1d2 | |
|
|
102 | aEFUTjdSRTVwR2thOE1tdWdZUzE2Y3hkeTdodjQ2ZlJQWGFaMHhOeWp1YnlGMk9qUXJvZDRsS0tZ | |
|
|
103 | OE80Y3hQTVR2SGF4ZVYKejg5NjVwNDhyaE83OTRBU2ZwczRKVmZaM1oxNG9JTGNCRXdXcGZobGVw | |
|
|
104 | Zll4QkhoQjhVSmU3Z0laNDBXVzBOYjloTEo2ZUlHQ2s1UApUeEhLNGloY0tTYjczZ0xlbllsM2VF | |
|
|
105 | bmZDOFJoNzlRRytuZE1PcVkza0JraUhIeXZldmxjaGlQVnoxanRlQWJUY2pMcmlodUIrU1U2CkRr | |
|
|
106 | ODJUVjRaV3c0VFAzKzJPQm5YTUVhRW15TksrcDJBUnh2bzdSU3JaVklCcnlQMVhhem5JWElMc1J2 | |
|
|
107 | ZndBNk5qQlkvMTQwVG04akIKd1pwUHlGUThubW1mS3c3Q1dZeFBZMDVwb0tOYithNnVhb3V4dUVG | |
|
|
108 | Y2dpMFFwZXhrVVJIbGNRVGVWNzhzWENyeVFoSG1LQzRHaUJ4eApuZ2g3TTlJelhkdzlyVjNTWjZJ | |
|
|
109 | SUIwdEVPT3NXWWZFcDVhZG1xam1oVTg5cmxxdndXdnFlaEJkRnFPb1dWVjhYdGtuOGFjSVB2eWYr | |
|
|
110 | Ck81aXI1MW1zTDdiODU5RlhKd3pGSjZuZktyZWx6NmZIL3huYXhVNDlTMXp2ckpZQld5akhGSEUx | |
|
|
111 | TWxma3RGV08xb1RVY1pBb01HcVkKS0s1NVhoTHh2MUdWMTBJLzBDWk8rN05GSlRsRi9YVGZJWkww | |
|
|
112 | T2FsOXVucWhVbnZtcmc1YmlqTC9meGtqYyswVjRrS1NtSlRqeFkzeQpjTDJydTZ6c3FyYWxCZUdn | |
|
|
113 | Y1grM0VTM1VjYVpXVHYxSG9WOFhnQzIwMEVJTExiVHdUOEZmaVpFbWFBajJUQThBQUFBQVNVVk9S | |
|
|
114 | SzVDCllJST0K | |
|
|
115 | </png> | |
|
|
116 | <latex>$$CNOT_{1,2} H_{1}$$</latex> | |
|
|
117 | <prompt_number>8</prompt_number> | |
|
|
118 | </output> | |
|
|
119 | </outputs> | |
|
|
120 | </codecell> | |
|
|
121 | <codecell> | |
|
|
122 | <input>state = qapply(entangle1_2*state); state | |
|
|
123 | </input> | |
|
|
124 | <language>python</language> | |
|
|
125 | <prompt_number>9</prompt_number> | |
|
|
126 | <collapsed>0</collapsed> | |
|
|
127 | <outputs> | |
|
|
128 |
|
|
|
|
129 | <output_type>pyout</output_type> | |
|
|
130 | <text>β½β½β½ β½β½β½ β½β½β½ β½β½β½ | |
|
|
131 | β²β± 2 β aβ β000β© β²β± 2 β aβ β110β© β²β± 2 β bβ β001β© β²β± 2 β bβ β111β© | |
|
|
132 | βββββββββββββ + βββββββββββββ + βββββββββββββ + βββββββββββββ | |
|
|
133 | 2 2 2 2</text> | |
|
|
134 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQWRvQUFBQWtDQVlBQUFBdUMvdHlBQUFBQkhOQ1NWUUlD | |
|
|
135 | QWdJZkFoa2lBQUFDS05KUkVGVQplSnp0blhtc0hWVWRnTC9YdnRaSGkreG93UUlQMlplMk5oQUtH | |
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|
136 | QXVJL3lDeVEwRWlvcktvQ0VTVWFDeUIzaGl3aEQ5WUJBT0VDQnFOCkJNSWFkaFR5RUlHZ1JsRmtD | |
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|
137 | UUt4RVdWVkU2VktDKzN6ajk4TWQrNlpNL3M1TSsrKzgvdVNtL2Z1T2I4N2MrWitjKzZjZTVhNW9D | |
|
|
138 | aUsKb2lpS29paUtvaWlLZXlZZFBKVGg0U09vODVCUTMyR2duaXV3SFREVzhqNXZBVFpyZVorS29M | |
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|
139 | N0RRbjJIZ1hydWdCa2xZdVlESndLLwpCZWI1TGM0QWk0RlZ3RDliM0tlaXZrTkRmWWVCZXA3aUhB | |
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|
140 | SXNRcjY2ajdlNDM1OGlYUTVLdTZqdnNGRGZZYUNlTzJTMFJNeDkza3VSClptZGdOZkMzRHZZZE91 | |
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|
141 | bzdMTlIzR0tqbklhSE5sdEIxd0U0dDdVdXhvNzdEUW4ySGdYcnVnREpqdEcyekRUSlkvK2V1QzlJ | |
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|
142 | Qkh3ZDIKNkxvUUxhTyt3eUpFMytvNURKeDRicXNsZERud3NaejhoY0QzZ2R1QTd3QjdPTnJ2NXkx | |
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|
143 | cDIwZjd1aGhZRHV5ZjhWcFhjUnRFNlZPQgpFSDNISEEyY1ZtSWJSWEhxTzQxcjM5OUFKdmc4QlJ4 | |
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144 | dXlXK2pYc2RrblEvcTJVNFYxMFdlSWJ0T3U2clBSWEZPUExjaGFFdGtLbmdXCmh3TjNBSHNoTStk | |
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145 | V0F2OERqbkN3NzU3eGZEN3dEMkJwOUh3ejRFWGdVTTl4NTlIKzlIc2JvZmtHbUFrc0E5Wm01RmVK | |
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|
146 | VTk5cGZQaysKRWluLzdwYThudkhjZFgyRmN1ZURlaDZranVzOHo1Qis3MTNXNTdKeGpUelBSZzV3 | |
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|
147 | bDdvYktNbUZ3Q2N5OHVZQ2Z3STJOZEx2Qjk1RAoxb2Mxb1djOHZ4eDR3a2hiZ1ZTK1RUM0c3UUtj | |
|
|
148 | VkxiUUJxN1dxb1hvKzBKZ0F2bUFtTFRrVjQxVDMybDgrZTRCYndJakdYbEpYTmZYCnN1ZURldTVU | |
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|
149 | MTNXUGJNOXhmcklNRTdpcno5NDlud3hjaTdRK2JnQytYbWNqSmRnSXVDc25meW53Q25DOGtmNFY1 | |
|
|
150 | TUJQYmJqL1h1TC8KelpIWmNpdU1tQ1hSdnBaNWlvdTVxRnJSMytjWE5WK1hKRVRmU2NiSnIwaGw0 | |
|
|
151 | dFIzR3ArK0h3WnV6OGpySmY3M1ZWK2gzSG1qbm9XNgpydk04Zy8yOUg2ZDVmYTRhbC9KY1pqTFVq | |
|
|
152 | NEV2STEvYnY0aTA5T3J3TGVEOG5QeXZBbGZuNU05RTFtTjl6VWgvSmZxN1o4MXkyVmdDCnpFSEdB | |
|
|
153 | NUxFencvMkZCZnplNHJITjJ5VVdhNVZSSWkrWGFPKzAvanlQUXQ1dng4dFVVWmY5YlVzNmxtbzQ3 | |
|
|
154 | cUs1NjVKZVc1ajF2RW8KY3ZWZkJKeUJ2R0VtWThCQndMMDUyNWtBRGtOYVprbDJqUDcrSWVOMVkw | |
|
|
155 | Z0w5QkxnTXVDanlPQjczckhIZDA1NTIwaGZBNnlqMzdYaApPaTdtVHR5TVEzWkIxNzdqN1ZkMTdo | |
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|
156 | TDFQWWhQMzNzakY4VlZpT3Zya0F1S0RWLzF0U3pxV1ppZ3V1c3FucnNtNWRsRlM2bUk5NUN2CjBs | |
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|
157 | c0RMd1BIQVQ4ellyNkVkR2ZrTVFuY2JVay9BUmszc1hWWHpBTitEWHdiYVlrdFFGcEVrOEQ2bkgz | |
|
|
158 | RkZXMjFKVzgxc0ltbnVKaDMKa1l2Q0tQTCtEUk5kK29iNnpsMml2Z2Z4NlRzZUMxeUt6UGhjQi93 | |
|
|
159 | dVNydldpUFZWWDh1aW5vVTZycXQ0N3BxVTU3aUY3K0tYRmZKKwphZUZkcENWeUYzQ1drVGNLSEVY | |
|
|
160 | eExEVWJSd0Q3SUYwUWJ4bDVzNENibzMzZUdLVTlEYnhLY2ZkRDNBQ3hWWWFSUkw3cnVDU3pNdUpk | |
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|
161 | Ck1CMTlRelBuTGxIZmZYejZCdm5nZlJ4Wi9yRWFlQWY0RGZaeFBwLzF0U3pENWpucDJwZG5LSFpk | |
|
|
162 | eGZOVVlNQnpmS0VkOGZDd2NTV3cKTDlJTkVQTlo1TU54WGNVRDJRcHB5WndKM0dUSlB3ZHBCU1Zi | |
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|
163 | TzdPUnFlRkZIN3JQNU9UTkJWNzNGQmV6QVBoalhnRWJNaDE5UXpQbgpMbEhmZlh6Nm5vSGNKT0FP | |
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|
164 | WS92enNYZnYrcXF2WlJsR3p6YlhMajFEc2V1cW5yc201Ym1OcnVNa0R3SFBJcTJoa3hHSkp3R2Zx | |
|
|
165 | YmlkCk1XVDJXUSs0SmlQbTA4QUxEQjd3RW1SUmNkR0hidnlhRFkzMER5RFNYL1VVRjNNTThMMk1z | |
|
|
166 | bjBJNlo2WmFjbGJpRXlSTi9sdnRFM3oKbTRodjJ2UU56Wnk3UkgyMzQzc1BwQnYzbDBiNjdsRTVU | |
|
|
167 | SHpWMTdLbzV6UmxYRmYxM0RVcHoyMWZhQUd1UWdhenowVmFLZmNqQzRETApNb0xNb0xzNitodXpI | |
|
|
168 | LzExYjJOSWk4dnN4amdRK0JleWhtczIwaFZpTzBsZlFrN2liWXowUFJQNVB1SkFLdmNhc3QrVE41 | |
|
|
169 | QlpnN2FKClBiY0JYN0NrcjZYOXloalRobTlvN3R3bDZ0dS9iNERka09OOE9wRzJOekxHK2dQTHRu | |
|
|
170 | M1UxN0tvNXpSbFhWZjEzQ1ZXejEzYzYvZ24KU1AvNjZkR2o2a0QyU3VCQkJzWE1aM0RLL1hya1lK | |
|
|
171 | OHpYbnNROEJqOWRWQnpNL2F4SHVrK01tKzU5aW5rN2lVLzlCUUhNaUhnUnZKNQpBM2pOOGxpYmtk | |
|
|
172 | N2xiMEcyNFJ1YU8zZUordmJ2RytRNC80NWNGR05PUUc1cWNJVWwza2Q5TFl0NlRsUFdkVlhQWFdM | |
|
|
173 | MTNNV0Y5bTNnClI4aTlMWi9FUHJNdmk5T1JieTBqeUNENHFjZzlKMWNBenlmaTFnTDNJTjB4TVdj | |
|
|
174 | Z3QvdDZFVG51RWRMVDk1TmNCWHdPMkRoNlBnTVoKN0w4ZXFSQys0c2FCditTVWE5aG93emU0Y1E3 | |
|
|
175 | OXJqdmI4b1VxY2VyYnIyK0FSNUNlakRuUjg4WFJhMDRCL3BPeEQ5ZjFOYWJvZkJoSApQU2VwNHJx | |
|
|
176 | TzV4aFg5YmxzM0RnMVBXK0ozTDl4SmZCZCtpZGVFM1lDL2syMVc0c3RvZC90WjNzc01PSjNSazZF | |
|
|
177 | QzVBMVY0Y2hyWTFWClNKZkhZaVArQXNzK2x5UGZoczVCQnZwdkpYM2JNSmR4KzFCdm5DTm1vc0Zy | |
|
|
178 | WTRiVk4xUnpidnBlRnIzbXVXajc3eUF0MDh0cXhvSDYKOXUwYjRGaGtiTzhpNE9mQUFVYSs3M3Bk | |
|
|
179 | NW54UXo0UFVjVjNrR1FaZHU2N1BqVHhuelI2TUdVVm1tSjJOdkRITGtVSHZSVlR2anpmWgpHdWtP | |
|
|
180 | S01zOFlOZWMvTWVRTXBwOEdPbGlpTmRRZmhBcCt4b2piZzZEWFJOSnRrT21uQmUxMnByR2JSaWwx | |
|
|
181 | UjEzbVVER0pPc3lIWHhECk9lZW03MjNKL3NCNHFrWmNFdlZkVEJQZk14RW5iMXJ5Zk5mck11ZURl | |
|
|
182 | aDZrcnVzOHp6RG8yblY5OXVwNUlmQlg1SFpaQUZ0RUcvbGsKMVEwcHJkRDBucWpxZTdoUTMyR2du | |
|
|
183 | cWM1WThBM2tlVVJJQVBWa3hUL0xxUFNEVTEvNVVOOUR4ZnFPd3pVYzJEMGtQN3hMaVpSS2UzVApR | |
|
|
184 | MzJIUkEvMUhRSTkxUE9VWlYvZ0FlUm5rSlRwai9vT0MvVWRCdXA1Q3JNcmNDbXk0SDhHTXJsRW1i | |
|
|
185 | Nm83N0JRMzJHZ25xY3cyeUkvCkVoelBVTjZQK3IvSHFFeDkxSGRZcU84d1VNOGRVclM4WjNQZ1Z3 | |
|
|
186 | d3V6dDBFdVJYWmE3NEtwWFNHK2c0TDlSMEc2cmxqaWk2MEc1TmUKUER5SnJITlNwaC9xT3l6VWR4 | |
|
|
187 | aW9aMFZSRkVWUkZFVlJGRVZSRkVWUkZFVlJGRVZSRkNVWS9nKzhSYjJOdW0ycENRQUFBQUJKUlU1 | |
|
|
188 | RQpya0pnZ2c9PQo= | |
|
|
189 | </png> | |
|
|
190 | <latex>$$\frac{1}{2} \sqrt{2} a {\left|000\right\rangle } + \frac{1}{2} \sqrt{2} a {\left|110\right\rangle } + \frac{1}{2} \sqrt{2} b {\left|001\right\rangle } + \frac{1}{2} \sqrt{2} b {\left|111\right\rangle }$$</latex> | |
|
|
191 | <prompt_number>9</prompt_number> | |
|
|
192 | </output> | |
|
|
193 | </outputs> | |
|
|
194 | </codecell> | |
|
|
195 | <codecell> | |
|
|
196 | <input>entangle0_1 = HadamardGate(0)*CNOT(0,1); entangle0_1 | |
|
|
197 | </input> | |
|
|
198 | <language>python</language> | |
|
|
199 | <prompt_number>10</prompt_number> | |
|
|
200 | <collapsed>0</collapsed> | |
|
|
201 | <outputs> | |
|
|
202 | <output> | |
|
|
203 | <output_type>pyout</output_type> | |
|
|
204 | <text>H β CNOT | |
|
|
205 | 0 0,1</text> | |
|
|
206 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQUdRQUFBQWNDQVlBQUFDWGt4cjRBQUFBQkhOQ1NWUUlD | |
|
|
207 | QWdJZkFoa2lBQUFCUkZKUkVGVQphSUh0bUh0b2wxVVl4eitibDVWbVpuTW02N0pSaWpiSk1JMGtt | |
|
|
208 | MFhEZ3NLa0RBb21XZWlLWmdaV1loY29xY1lLUW1vaHExYmtwVDhhCjNZZ3V0ckxhVE12U3dLNjJM | |
|
|
209 | a2dYUXduc1p1THNzdjc0bnBmZitaMmQ4Nzd2ZnZ1dEhQdDk0Y2ZMNzNtZTk3bWM1enpQZWQ0REJR | |
|
|
210 | d0kKdkFCOEFYUURmd0k3Z0JiRHF3RGVCblliL20vQU5tQkpML1FmQ1N3QVZnT2JnRGFnSGJqYzhP | |
|
|
211 | Y0F5eTM1aDRHdHdGL0EzOEJVajg0Tgp3QUhqMDgvQUtvL01aT0JSNEJuZ2NlQlZvQlU0TGVEblFx | |
|
|
212 | T3ZDOWdPdkFic05MUmZnSTNHOXcrQmY0QXZZMkx1TTJZYXd3OEYrTGNaCi9oVTU2TzFFQ1Q0UEdH | |
|
|
213 | N29Sd0FQQUE4Qys0RnpuUGZHQWg4Wm00OEVkRitOTmxPUlF5OEdtczM3YmpJdlFZbTh5cU92RGJq | |
|
|
214 | VDhoRXkKU2JyQlkvdk5nRjk1d1hKaitNSUF2dzN0MWpHOTBOa0FIQUp1RFBDSG9HcjdIUmptOEM0 | |
|
|
215 | RmFvSFBESCtVNS8yYmdPa09yUWdsZndOSwp1Zy8zbzBvdnQyaWxxSkpjUElIV1paSkRQd2tsdmQv | |
|
|
216 | d01scThrUjdlTUxTTGQvUkNYejBLWkVHQ1hBUHdpb2UrQ2pnQldHcjAxSHRrCjFxR2sybWhDN1hW | |
|
|
217 | c2pNMGFvL011aTFhSGZ6TitCZXp4MEtjRHkySnM5QW5GcUE5dkNmRFBSZ0UwcGRRM0JiV0Y5aFN5 | |
|
|
218 | aS9BSEZ1M1cKMGNBZndDY092d2hZNzlEdU1YN09TN0JaWWVTZXMyZ0wwVHJZS0RkeXZzcVpBcHla | |
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219 | WUNkblRET0dHd0w4T3d4L2ZrcDkyNHk4ZXk3NApjQlpRNmRDT1JvZHdoQmFQdnFuQXJkYi9jbFRo | |
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220 | UDlDemFseWNiL1J0U0pDNzBzZ3RUWkRMR1VNRDlObm1lUUU5ZXpMQURQUGNsTUxHCmNVYitBMkJ6 | |
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221 | Q3ZuM1BiUlpaRmRyTTdBWXVON1NlYTdqVHoxcXJldlJXUmVIcWhqYk5xSjE2VWlReXp1ZVJ5UG1V | |
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222 | UjdlVU5ReVBrK3AKYXo3YVZYMDU4QnFCVXh6YVZqU09scG4vYThrZUJEcU0zWXRUNkc4bGZvQ0o4 | |
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223 | Q213ajU1VFhON2c5a2lNc1dvMEl1NzM4TThBUnBDdQpPa0F0Q0JSTUVzcndUMjBuQTk4NHRHWTBq | |
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225 | NmN0MjIvTjg4Y1VzcmVUdmFpZ2o4Z0RIdGxXdEZ1dlF6NTNPdnk5NXZscmdzMWxxT3JyMERnZFFq | |
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226 | WGFyR2szWWs3d0pTVHEKazZGK1A4czhiY2VHb0o2K0JNMzBjeXhldTNsT1MvQ2xDdTFtdHlwbjR1 | |
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227 | L3RCNEUxYUFCb3BPZENSUnVxSnNibURKU0lKNEdYRXZ5TAoxc1dYa0xqNDQxQUNQQVVjSHlmME5D | |
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229 | d09vVXF5TVJ1ZGc2MkJkeWNEUHdIUDRqOHJYV3hIRmVRYmhPTGlENkVPdUJ1dGRXVklxQVF0dU51 | |
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230 | dkk1eHVGS3h4NkR2UjZCamgKTVhUbEVHRU1Tc3BiWk8rR1k5RFhkeVBaMXhNUnhnSGZrem00Zlhp | |
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233 | Ckt3SUJ6UVB1RGZCQW8vdHExSlphVUl1NG1lUWRYRW5tMGpPS3V3dTE4dGZSY0FQcDR3OGh0a0p5 | |
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234 | UWFsUmVxSkZXNEdxWVRDZ3IvRm4KSmNSM3FQY1crOUFrWTQrQ0l3MTlNQ0N2OGVjaklkM29rbkdj | |
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235 | UlJzUGZKY0gzUU1CZVkwL0h3a0JqYVgyb1ZhRERyYkJncmo0SjlEegpscUhmTVFvZGxvdUIrNEJy | |
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236 | LzJzSC9tZkV4ZCtFUm40WGM5RjAyWTJHamRyK2NNejNIVEdZNEl1L2lNejFqbzFqVVd1TGZtVVF2 | |
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237 | dTNOCkZWMTUxamZRNEl1L0cvLzEvMkFaZWc0N1ZLTVA2Z0lPRStTN0N4VlFRQUVGRkZDQUYvOEN2 | |
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238 | UXNwZWZhNEw3Y0FBQUFBU1VWT1JLNUMKWUlJPQo= | |
|
|
239 | </png> | |
|
|
240 | <latex>$$H_{0} CNOT_{0,1}$$</latex> | |
|
|
241 | <prompt_number>10</prompt_number> | |
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|
242 | </output> | |
|
|
243 | </outputs> | |
|
|
244 | </codecell> | |
|
|
245 | <codecell> | |
|
|
246 | <input>circuit_plot(entangle0_1*entangle1_2, nqubits=3) | |
|
|
247 | </input> | |
|
|
248 | <language>python</language> | |
|
|
249 | <prompt_number>11</prompt_number> | |
|
|
250 | <collapsed>0</collapsed> | |
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|
251 | <outputs> | |
|
|
252 | <output> | |
|
|
253 | <output_type>pyout</output_type> | |
|
|
254 | <text>&lt;sympy.physics.quantum.circuitplot.CircuitPlot object at 0x3b9fb90&gt;</text> | |
|
|
255 | <prompt_number>11</prompt_number> | |
|
|
256 | </output> | |
|
|
257 | <output> | |
|
|
258 | <output_type>display_data</output_type> | |
|
|
259 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVE4QUFBREZDQVlBQUFCS0szZFlBQUFBQkhOQ1NWUUlD | |
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332 | Y3A5M1hqREhhczJlUEpreVlvSVNFaEhicmh3NGRVbU5qWTZmUE90ejQ4OG85RDNqQ2xpMWJOR25T | |
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334 | SHZDSUVTTkdLQkFJNk1TSkUycHFhdEtZTVdOQy9rYjNpcHYzCk8wSTlvcFdrNnVwcVNlcTk5enRF | |
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335 | UE9BeGFXbHBiby9RTFNvcksrVTRUb2Z4eU03TzF2RGh3M3Q0c3M3anNnWG9ZYzNOemFxb3FGQm0K | |
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336 | WnFhR0RSdldicjJtcGtiQllGRFRwazF6WWJyT0l4NUFEemw1OHFSOFBwL0dqaDJyOCtmUDYrVEpr | |
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337 | OHJKeWRIbm4zOHU2Wi83T284OQo5cGllZU9JSk9ZNmpzckl5NWVYbGFlL2V2UzVQSGhyL0dCQVFZ | |
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338 | ZnhqUUFCd0MrSUJ3QXJ4QUdDRlI3VkFENGprWjFLU2twSWl0dStPCkVBOGd3cUwxbVFTWExRQ3NF | |
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339 | QThBVm9nSEFDdkVBNEFWNGdIQUN2RUFZSVY0QUxCQ1BBQllJUjRBckJBUEFGYUlCd0FyeEFPQUZl | |
|
|
340 | SUIKd0FyeEFHQ0ZlQUN3UWp3QVdDRWVBS3dRRHdCV2lBY0FLOFFEZ0JYaUFjQUs4UUJnaFhnQXNF | |
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341 | SThBRmdoSGdDc0VBOEFWb2dIQUN2RQpBNEFWNGdIQUN2RUFZSVY0QUxCQ1BBQllJUjRBckJBUEFG | |
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342 | YitCNWhRSUJpc2s5VE5BQUFBQUVsRlRrU3VRbUNDCg== | |
|
|
343 | </png> | |
|
|
344 | </output> | |
|
|
345 | </outputs> | |
|
|
346 | </codecell> | |
|
|
347 | <codecell> | |
|
|
348 | <input>state = qapply(entangle0_1*state); state | |
|
|
349 | </input> | |
|
|
350 | <language>python</language> | |
|
|
351 | <prompt_number>12</prompt_number> | |
|
|
352 | <collapsed>0</collapsed> | |
|
|
353 | <outputs> | |
|
|
354 | <output> | |
|
|
355 | <output_type>pyout</output_type> | |
|
|
356 | <text>aβ β000β© aβ β001β© aβ β110β© aβ β111β© bβ β010β© bβ β011β© bβ β100β© bβ β101β© | |
|
|
357 | βββββββ + βββββββ + βββββββ + βββββββ + βββββββ - βββββββ + βββββββ - βββββββ | |
|
|
358 | 2 2 2 2 2 2 2 2</text> | |
|
|
359 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQXI0QUFBQWlDQVlBQUFDNXZOcGtBQUFBQkhOQ1NWUUlD | |
|
|
360 | QWdJZkFoa2lBQUFDT0pKUkVGVQplSnp0bldtSUpWY1pocC9NVEdhU09KcU95MmphaVV3Z2tURVJD | |
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394 | MUNuclkzCmxKTHlHNHBuMzJNWjhodUtTeDhqZDhkM2R6VnRucjVlWS9NcnlldXdvOFZKN2dMK0Nq | |
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401 | ZjhRRHdEdXdJTTBmZGk3RXhKbitJZUgwMXAyRmpEMi9xc2U0a3krTDdkY0Fyc09kb3IyQmZoYXhp | |
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408 | WU5keVFkd2FyWTlHaS8zWTZmaXQ0TjhoeVBmL3NpNUwvSTlUT1EwRE9WM21NaHBKRWVBMjVBZwpM | |
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409 | K1RiRi9uMlI4NTlrZS8weUtrZmNwMGVPWjNCUWV5bThhdUwzcEZDa0c5ZjVOc2ZPZmRGdnRNanAz | |
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410 | N0lkWHJrZEFhcndNZXhNVHVRCi96Wm9wU1BmdnNpM1AzTHVpM3luUjA3OWtPdjB5T2tNSGdOY3cr | |
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411 | WnA4SXVCRnk1dWQ1WWUrZlpGdnYyUmMxL2tPejF5Nm9kY3A2ZG8KcC9OdVo3WVhHd1I5a3MzSHZh | |
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412 | MWl0NUh3dXZWR1NjaTNML0x0ajV6N0l0L3BrVk0vNURvOXhUdWQ5OGppTTRDUE5wWnRVSWljQlNE | |
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413 | Zgp2c2kzUDNMdWkzeW5SMDc5a092MHlLa1FRZ2doaEJCQ0NDR0VFRUlJSVlRUVFnZ2hoQkJDQ0NH | |
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414 | RUVHSlEvQjhBYUVmSFZvNVBkQUFBCkFBQkpSVTVFcmtKZ2dnPT0K | |
|
|
415 | </png> | |
|
|
416 | <latex>$$\frac{1}{2} a {\left|000\right\rangle } + \frac{1}{2} a {\left|001\right\rangle } + \frac{1}{2} a {\left|110\right\rangle } + \frac{1}{2} a {\left|111\right\rangle } + \frac{1}{2} b {\left|010\right\rangle } - \frac{1}{2} b {\left|011\right\rangle } + \frac{1}{2} b {\left|100\right\rangle } - \frac{1}{2} b {\left|101\right\rangle }$$</latex> | |
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417 | <prompt_number>12</prompt_number> | |
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418 | </output> | |
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|
419 | </outputs> | |
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|
420 | </codecell> | |
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421 | <codecell> | |
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|
422 | <input>result = measure_partial(state, (0,1)) | |
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|
423 | </input> | |
|
|
424 | <language>python</language> | |
|
|
425 | <prompt_number>13</prompt_number> | |
|
|
426 | <collapsed>1</collapsed> | |
|
|
427 | <outputs /> | |
|
|
428 | </codecell> | |
|
|
429 | <codecell> | |
|
|
430 | <input>state = (result[2][0]*2).expand(); state</input> | |
|
|
431 | <language>python</language> | |
|
|
432 | <prompt_number>14</prompt_number> | |
|
|
433 | <collapsed>0</collapsed> | |
|
|
434 | <outputs> | |
|
|
435 | <output> | |
|
|
436 | <output_type>pyout</output_type> | |
|
|
437 | <text>aβ β110β© | |
|
|
438 | βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ + ββββββββββββββββββ | |
|
|
439 | β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½ | |
|
|
440 | β± 2 2 | |
|
|
441 | β± β a β β b β | |
|
|
442 | β± ββββββββββββββ ββββββββββββββ | |
|
|
443 | β± β β½β½β½β½β½β½β½β½β½β β β½β½β½β½β½β½β½β½β½β | |
|
|
444 | β½β½β½β½β½β½β½β½β½ β± β β± 2 2 β β β± 2 2 β β½β½β½β½β½β½β½β½β½ β± | |
|
|
445 | β± 2 2 β± ββ²β± a + b β ββ²β± a + b β β± 2 2 β± | |
|
|
446 | β²β± a + b β β± βββββββββββββββ + βββββββββββββββ β²β± a + b β β± | |
|
|
447 | β²β± 4 4 β²β± | |
|
|
448 | ||
|
|
449 | bβ β010β© | |
|
|
450 | βββββββββββββββββββββββββββββββββββββββ | |
|
|
451 | β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½ | |
|
|
452 | β± 2 2 | |
|
|
453 | β± β a β β b β | |
|
|
454 | β± ββββββββββββββ ββββββββββββββ | |
|
|
455 | β± β β½β½β½β½β½β½β½β½β½β β β½β½β½β½β½β½β½β½β½β | |
|
|
456 | β β± 2 2 β β β± 2 2 β | |
|
|
457 | ββ²β± a + b β ββ²β± a + b β | |
|
|
458 | βββββββββββββββ + βββββββββββββββ | |
|
|
459 | 4 4</text> | |
|
|
460 | <latex>$$\frac{a {\left|110\right\rangle }}{\sqrt{a^{2} + b^{2}} \sqrt{\frac{1}{4} \lvert{\frac{a}{\sqrt{a^{2} + b^{2}}}}\rvert^{2} + \frac{1}{4} \lvert{\frac{b}{\sqrt{a^{2} + b^{2}}}}\rvert^{2}}} + \frac{b {\left|010\right\rangle }}{\sqrt{a^{2} + b^{2}} \sqrt{\frac{1}{4} \lvert{\frac{a}{\sqrt{a^{2} + b^{2}}}}\rvert^{2} + \frac{1}{4} \lvert{\frac{b}{\sqrt{a^{2} + b^{2}}}}\rvert^{2}}}$$</latex> | |
|
|
461 | <prompt_number>14</prompt_number> | |
|
|
462 | </output> | |
|
|
463 | </outputs> | |
|
|
464 | </codecell> | |
|
|
465 | <codecell> | |
|
|
466 | <input>state = qapply(XGate(2)*state); state | |
|
|
467 | </input> | |
|
|
468 | <language>python</language> | |
|
|
469 | <prompt_number>15</prompt_number> | |
|
|
470 | <collapsed>0</collapsed> | |
|
|
471 | <outputs> | |
|
|
472 | <output> | |
|
|
473 | <output_type>pyout</output_type> | |
|
|
474 | <text>aβ β010β© | |
|
|
475 | βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ + ββββββββββββββββββ | |
|
|
476 | β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½ | |
|
|
477 | β± 2 2 | |
|
|
478 | β± β a β β b β | |
|
|
479 | β± ββββββββββββββ ββββββββββββββ | |
|
|
480 | β± β β½β½β½β½β½β½β½β½β½β β β½β½β½β½β½β½β½β½β½β | |
|
|
481 | β½β½β½β½β½β½β½β½β½ β± β β± 2 2 β β β± 2 2 β β½β½β½β½β½β½β½β½β½ β± | |
|
|
482 | β± 2 2 β± ββ²β± a + b β ββ²β± a + b β β± 2 2 β± | |
|
|
483 | β²β± a + b β β± βββββββββββββββ + βββββββββββββββ β²β± a + b β β± | |
|
|
484 | β²β± 4 4 β²β± | |
|
|
485 | ||
|
|
486 | bβ β110β© | |
|
|
487 | βββββββββββββββββββββββββββββββββββββββ | |
|
|
488 | β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½β½ | |
|
|
489 | β± 2 2 | |
|
|
490 | β± β a β β b β | |
|
|
491 | β± ββββββββββββββ ββββββββββββββ | |
|
|
492 | β± β β½β½β½β½β½β½β½β½β½β β β½β½β½β½β½β½β½β½β½β | |
|
|
493 | β β± 2 2 β β β± 2 2 β | |
|
|
494 | ββ²β± a + b β ββ²β± a + b β | |
|
|
495 | βββββββββββββββ + βββββββββββββββ | |
|
|
496 | 4 4</text> | |
|
|
497 | <latex>$$\frac{a {\left|010\right\rangle }}{\sqrt{a^{2} + b^{2}} \sqrt{\frac{1}{4} \lvert{\frac{a}{\sqrt{a^{2} + b^{2}}}}\rvert^{2} + \frac{1}{4} \lvert{\frac{b}{\sqrt{a^{2} + b^{2}}}}\rvert^{2}}} + \frac{b {\left|110\right\rangle }}{\sqrt{a^{2} + b^{2}} \sqrt{\frac{1}{4} \lvert{\frac{a}{\sqrt{a^{2} + b^{2}}}}\rvert^{2} + \frac{1}{4} \lvert{\frac{b}{\sqrt{a^{2} + b^{2}}}}\rvert^{2}}}$$</latex> | |
|
|
498 | <prompt_number>15</prompt_number> | |
|
|
499 | </output> | |
|
|
500 | </outputs> | |
|
|
501 | </codecell> | |
|
|
502 | </cells> | |
|
|
503 | </worksheet> | |
|
|
504 | </worksheets> | |
|
|
505 | </notebook> | |
|
|
1 | { | |
|
|
2 | "nbformat": 2, | |
|
|
3 | "name": "teleportation", | |
|
|
4 | "worksheets": [ | |
|
|
5 | { | |
|
|
6 | "cells": [ | |
|
|
7 | { | |
|
|
8 | "source": "<h1>Teleportation</h1>", | |
|
|
9 | "cell_type": "markdown" | |
|
|
10 | }, | |
|
|
11 | { | |
|
|
12 | "cell_type": "code", | |
|
|
13 | "language": "python", | |
|
|
14 | "outputs": [], | |
|
|
15 | "collapsed": false, | |
|
|
16 | "prompt_number": 5, | |
|
|
17 | "input": "%load_ext sympyprinting" | |
|
|
18 | }, | |
|
|
19 | { | |
|
|
20 | "cell_type": "code", | |
|
|
21 | "language": "python", | |
|
|
22 | "outputs": [], | |
|
|
23 | "collapsed": true, | |
|
|
24 | "prompt_number": 6, | |
|
|
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 | "cell_type": "code", | |
|
|
29 | "language": "python", | |
|
|
30 | "outputs": [ | |
|
|
31 | { | |
|
|
32 | "output_type": "pyout", | |
|
|
33 | "latex": "$$a {\\left|000\\right\\rangle } + b {\\left|001\\right\\rangle }$$", | |
|
|
34 | "prompt_number": 7, | |
|
|
35 | "png": "iVBORw0KGgoAAAANSUhEUgAAAHgAAAAVCAYAAACNDipWAAAABHNCSVQICAgIfAhkiAAAA4VJREFU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\nRK5CYII=\n", | |
|
|
36 | "text": "a\u22c5\u2758000\u27e9 + b\u22c5\u2758001\u27e9" | |
|
|
37 | } | |
|
|
38 | ], | |
|
|
39 | "collapsed": false, | |
|
|
40 | "prompt_number": 7, | |
|
|
41 | "input": "a,b = symbols('a b', real=True)\nstate = Qubit('000')*a + Qubit('001')*b; state" | |
|
|
42 | }, | |
|
|
43 | { | |
|
|
44 | "cell_type": "code", | |
|
|
45 | "language": "python", | |
|
|
46 | "outputs": [ | |
|
|
47 | { | |
|
|
48 | "output_type": "pyout", | |
|
|
49 | "latex": "$$CNOT_{1,2} H_{1}$$", | |
|
|
50 | "prompt_number": 8, | |
|
|
51 | "png": "iVBORw0KGgoAAAANSUhEUgAAAGQAAAAcCAYAAACXkxr4AAAABHNCSVQICAgIfAhkiAAABNhJREFU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\nYII=\n", | |
|
|
52 | "text": "CNOT \u22c5H \n 1,2 1" | |
|
|
53 | } | |
|
|
54 | ], | |
|
|
55 | "collapsed": false, | |
|
|
56 | "prompt_number": 8, | |
|
|
57 | "input": "entangle1_2 = CNOT(1,2)*HadamardGate(1); entangle1_2\n" | |
|
|
58 | }, | |
|
|
59 | { | |
|
|
60 | "cell_type": "code", | |
|
|
61 | "language": "python", | |
|
|
62 | "outputs": [ | |
|
|
63 | { | |
|
|
64 | "output_type": "pyout", | |
|
|
65 | "latex": "$$\\frac{1}{2} \\sqrt{2} a {\\left|000\\right\\rangle } + \\frac{1}{2} \\sqrt{2} a {\\left|110\\right\\rangle } + \\frac{1}{2} \\sqrt{2} b {\\left|001\\right\\rangle } + \\frac{1}{2} \\sqrt{2} b {\\left|111\\right\\rangle }$$", | |
|
|
66 | "prompt_number": 9, | |
|
|
67 | "png": "iVBORw0KGgoAAAANSUhEUgAAAdoAAAAkCAYAAAAuC/tyAAAABHNCSVQICAgIfAhkiAAACKNJREFU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\nrkJggg==\n", | |
|
|
68 | "text": "\u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \u23bd\u23bd\u23bd \n\u2572\u2571 2 \u22c5a\u22c5\u2758000\u27e9 \u2572\u2571 2 \u22c5a\u22c5\u2758110\u27e9 \u2572\u2571 2 \u22c5b\u22c5\u2758001\u27e9 \u2572\u2571 2 \u22c5b\u22c5\u2758111\u27e9\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 2 2 2 2" | |
|
|
69 | } | |
|
|
70 | ], | |
|
|
71 | "collapsed": false, | |
|
|
72 | "prompt_number": 9, | |
|
|
73 | "input": "state = qapply(entangle1_2*state); state\n" | |
|
|
74 | }, | |
|
|
75 | { | |
|
|
76 | "cell_type": "code", | |
|
|
77 | "language": "python", | |
|
|
78 | "outputs": [ | |
|
|
79 | { | |
|
|
80 | "output_type": "pyout", | |
|
|
81 | "latex": "$$H_{0} CNOT_{0,1}$$", | |
|
|
82 | "prompt_number": 10, | |
|
|
83 | "png": "iVBORw0KGgoAAAANSUhEUgAAAGQAAAAcCAYAAACXkxr4AAAABHNCSVQICAgIfAhkiAAABRFJREFU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\nYII=\n", | |
|
|
84 | "text": "H \u22c5CNOT \n 0 0,1" | |
|
|
85 | } | |
|
|
86 | ], | |
|
|
87 | "collapsed": false, | |
|
|
88 | "prompt_number": 10, | |
|
|
89 | "input": "entangle0_1 = HadamardGate(0)*CNOT(0,1); entangle0_1\n" | |
|
|
90 | }, | |
|
|
91 | { | |
|
|
92 | "cell_type": "code", | |
|
|
93 | "language": "python", | |
|
|
94 | "outputs": [ | |
|
|
95 | { | |
|
|
96 | "output_type": "pyout", | |
|
|
97 | "prompt_number": 11, | |
|
|
98 | "text": "<sympy.physics.quantum.circuitplot.CircuitPlot object at 0x3b9fb90>" | |
|
|
99 | }, | |
|
|
100 | { | |
|
|
101 | "output_type": "display_data", | |
|
|
102 | "png": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAADFCAYAAABKK3dYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" | |
|
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103 | } | |
|
|
104 | ], | |
|
|
105 | "collapsed": false, | |
|
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106 | "prompt_number": 11, | |
|
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107 | "input": "circuit_plot(entangle0_1*entangle1_2, nqubits=3)\n" | |
|
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108 | }, | |
|
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109 | { | |
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110 | "cell_type": "code", | |
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|
111 | "language": "python", | |
|
|
112 | "outputs": [ | |
|
|
113 | { | |
|
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114 | "output_type": "pyout", | |
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|
115 | "latex": "$$\\frac{1}{2} a {\\left|000\\right\\rangle } + \\frac{1}{2} a {\\left|001\\right\\rangle } + \\frac{1}{2} a {\\left|110\\right\\rangle } + \\frac{1}{2} a {\\left|111\\right\\rangle } + \\frac{1}{2} b {\\left|010\\right\\rangle } - \\frac{1}{2} b {\\left|011\\right\\rangle } + \\frac{1}{2} b {\\left|100\\right\\rangle } - \\frac{1}{2} b {\\left|101\\right\\rangle }$$", | |
|
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116 | "prompt_number": 12, | |
|
|
117 | "png": "iVBORw0KGgoAAAANSUhEUgAAAr4AAAAiCAYAAAC5vNpkAAAABHNCSVQICAgIfAhkiAAACOJJREFU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\nAABJRU5ErkJggg==\n", | |
|
|
118 | "text": "a\u22c5\u2758000\u27e9 a\u22c5\u2758001\u27e9 a\u22c5\u2758110\u27e9 a\u22c5\u2758111\u27e9 b\u22c5\u2758010\u27e9 b\u22c5\u2758011\u27e9 b\u22c5\u2758100\u27e9 b\u22c5\u2758101\u27e9\n\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500 - \u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 2 2 2 2 2 2 2 2" | |
|
|
119 | } | |
|
|
120 | ], | |
|
|
121 | "collapsed": false, | |
|
|
122 | "prompt_number": 12, | |
|
|
123 | "input": "state = qapply(entangle0_1*state); state\n" | |
|
|
124 | }, | |
|
|
125 | { | |
|
|
126 | "cell_type": "code", | |
|
|
127 | "language": "python", | |
|
|
128 | "outputs": [], | |
|
|
129 | "collapsed": true, | |
|
|
130 | "prompt_number": 13, | |
|
|
131 | "input": "result = measure_partial(state, (0,1))\n" | |
|
|
132 | }, | |
|
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133 | { | |
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134 | "cell_type": "code", | |
|
|
135 | "language": "python", | |
|
|
136 | "outputs": [ | |
|
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137 | { | |
|
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138 | "output_type": "pyout", | |
|
|
139 | "latex": "$$\\frac{a {\\left|110\\right\\rangle }}{\\sqrt{a^{2} + b^{2}} \\sqrt{\\frac{1}{4} \\lvert{\\frac{a}{\\sqrt{a^{2} + b^{2}}}}\\rvert^{2} + \\frac{1}{4} \\lvert{\\frac{b}{\\sqrt{a^{2} + b^{2}}}}\\rvert^{2}}} + \\frac{b {\\left|010\\right\\rangle }}{\\sqrt{a^{2} + b^{2}} \\sqrt{\\frac{1}{4} \\lvert{\\frac{a}{\\sqrt{a^{2} + b^{2}}}}\\rvert^{2} + \\frac{1}{4} \\lvert{\\frac{b}{\\sqrt{a^{2} + b^{2}}}}\\rvert^{2}}}$$", | |
|
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140 | "prompt_number": 14, | |
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141 | "text": "a\u22c5\u2758110\u27e9 \n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd \n \u2571 2 2 \n \u2571 \u2502 a \u2502 \u2502 b \u2502 \n \u2571 \u2502\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502 \u2502\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502 \n \u2571 \u2502 \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u2502 \u2502 \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u2502 \n \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd \u2571 \u2502 \u2571 2 2 \u2502 \u2502 \u2571 2 2 \u2502 \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd \u2571\n \u2571 2 2 \u2571 \u2502\u2572\u2571 a + b \u2502 \u2502\u2572\u2571 a + b \u2502 \u2571 2 2 \u2571 \n\u2572\u2571 a + b \u22c5 \u2571 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2572\u2571 a + b \u22c5 \u2571 \n \u2572\u2571 4 4 \u2572\u2571 \n\n b\u22c5\u2758010\u27e9 \n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\n \u2571 2 2 \n \u2571 \u2502 a \u2502 \u2502 b \u2502 \n \u2571 \u2502\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502 \u2502\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502 \n\u2571 \u2502 \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u2502 \u2502 \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u2502 \n \u2502 \u2571 2 2 \u2502 \u2502 \u2571 2 2 \u2502 \n \u2502\u2572\u2571 a + b \u2502 \u2502\u2572\u2571 a + b \u2502 \n \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \n 4 4" | |
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142 | } | |
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143 | ], | |
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144 | "collapsed": false, | |
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145 | "prompt_number": 14, | |
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146 | "input": "state = (result[2][0]*2).expand(); state" | |
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147 | }, | |
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148 | { | |
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149 | "cell_type": "code", | |
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150 | "language": "python", | |
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151 | "outputs": [ | |
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152 | { | |
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153 | "output_type": "pyout", | |
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154 | "latex": "$$\\frac{a {\\left|010\\right\\rangle }}{\\sqrt{a^{2} + b^{2}} \\sqrt{\\frac{1}{4} \\lvert{\\frac{a}{\\sqrt{a^{2} + b^{2}}}}\\rvert^{2} + \\frac{1}{4} \\lvert{\\frac{b}{\\sqrt{a^{2} + b^{2}}}}\\rvert^{2}}} + \\frac{b {\\left|110\\right\\rangle }}{\\sqrt{a^{2} + b^{2}} \\sqrt{\\frac{1}{4} \\lvert{\\frac{a}{\\sqrt{a^{2} + b^{2}}}}\\rvert^{2} + \\frac{1}{4} \\lvert{\\frac{b}{\\sqrt{a^{2} + b^{2}}}}\\rvert^{2}}}$$", | |
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155 | "prompt_number": 15, | |
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156 | "text": "a\u22c5\u2758010\u27e9 \n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd \n \u2571 2 2 \n \u2571 \u2502 a \u2502 \u2502 b \u2502 \n \u2571 \u2502\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502 \u2502\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502 \n \u2571 \u2502 \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u2502 \u2502 \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u2502 \n \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd \u2571 \u2502 \u2571 2 2 \u2502 \u2502 \u2571 2 2 \u2502 \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd \u2571\n \u2571 2 2 \u2571 \u2502\u2572\u2571 a + b \u2502 \u2502\u2572\u2571 a + b \u2502 \u2571 2 2 \u2571 \n\u2572\u2571 a + b \u22c5 \u2571 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \u2572\u2571 a + b \u22c5 \u2571 \n \u2572\u2571 4 4 \u2572\u2571 \n\n b\u22c5\u2758110\u27e9 \n\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\n \u2571 2 2 \n \u2571 \u2502 a \u2502 \u2502 b \u2502 \n \u2571 \u2502\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502 \u2502\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502 \n\u2571 \u2502 \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u2502 \u2502 \u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u23bd\u2502 \n \u2502 \u2571 2 2 \u2502 \u2502 \u2571 2 2 \u2502 \n \u2502\u2572\u2571 a + b \u2502 \u2502\u2572\u2571 a + b \u2502 \n \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 + \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 \n 4 4" | |
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157 | } | |
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158 | ], | |
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159 | "collapsed": false, | |
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160 | "prompt_number": 15, | |
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161 | "input": "state = qapply(XGate(2)*state); state\n" | |
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162 | } | |
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163 | ] | |
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164 | } | |
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165 | ] | |
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166 | } No newline at end of file | |
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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><h1>Text Analysis Using NetworkX</h1></source> | |
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10 | </markdowncell> | |
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11 | <markdowncell> | |
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12 | <source><p>This notebook will analyze a plain text file treating it as a list of | |
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13 | newline-separated sentences (e.g. a list of paper titles).</p> | |
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14 | <br> | |
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15 | <p>It computes word frequencies (after doing some naive normalization by | |
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16 | lowercasing and throwing away a few overly common words). It also computes, | |
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17 | from the most common words, a weighted graph of word co-occurrences and | |
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18 | displays it, as well as summarizing the graph structure by ranking its nodes in | |
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19 | descending order of eigenvector centrality.</p> | |
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20 | <br> | |
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21 | <p>This is meant as an illustration of text processing in Python, using matplotlib | |
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22 | for visualization and NetworkX for graph-theoretical manipulation. It should | |
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23 | not be considered production-strength code for serious text analysis.</p> | |
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24 | <br> | |
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25 | <p>Author: Fernando Perez</p></source> | |
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26 | </markdowncell> | |
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27 | <codecell> | |
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28 | <input>%run text_analysis.py</input> | |
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29 | <language>python</language> | |
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30 | <prompt_number>1</prompt_number> | |
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31 | <collapsed>1</collapsed> | |
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32 | <outputs /> | |
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33 | </codecell> | |
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34 | <codecell> | |
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35 | <input>default_url = "http://bibserver.berkeley.edu/tmp/titles.txt" | |
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36 | n_words = 15 | |
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37 | n_nodes = 15 | |
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38 | url = default_url | |
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39 | </input> | |
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40 | <language>python</language> | |
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41 | <prompt_number>2</prompt_number> | |
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42 | <collapsed>1</collapsed> | |
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43 | <outputs /> | |
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44 | </codecell> | |
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45 | <markdowncell> | |
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46 | <source>Fetch text and do basic preprocessing.</source> | |
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47 | </markdowncell> | |
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48 | <codecell> | |
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49 | <input>text = get_text_from_url(url).lower() | |
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50 | lines = text.splitlines() | |
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51 | words = text_cleanup(text)</input> | |
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52 | <language>python</language> | |
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53 | <prompt_number>3</prompt_number> | |
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54 | <collapsed>1</collapsed> | |
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55 | <outputs /> | |
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56 | </codecell> | |
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57 | <markdowncell> | |
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58 | <source>Compute frequency histogram.</source> | |
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59 | </markdowncell> | |
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60 | <codecell> | |
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61 | <input>wf = word_freq(words) | |
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62 | sorted_wf = sort_freqs(wf)</input> | |
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63 | <language>python</language> | |
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64 | <prompt_number>4</prompt_number> | |
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65 | <collapsed>1</collapsed> | |
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66 | <outputs /> | |
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67 | </codecell> | |
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68 | <markdowncell> | |
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69 | <source>Build a graph from the n_nodes most frequent words.</source> | |
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70 | </markdowncell> | |
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71 | <codecell> | |
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72 | <input>popular = sorted_wf[-n_nodes:] | |
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73 | pop_words = [wc[0] for wc in popular] | |
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74 | co_occur = co_occurrences(lines, pop_words) | |
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75 | wgraph = co_occurrences_graph(popular, co_occur, cutoff=1) | |
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76 | centrality = nx.eigenvector_centrality_numpy(wgraph) | |
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77 | </input> | |
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78 | <language>python</language> | |
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79 | <prompt_number>5</prompt_number> | |
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80 | <collapsed>1</collapsed> | |
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81 | <outputs /> | |
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82 | </codecell> | |
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83 | <markdowncell> | |
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84 | <source>Print summaries of single-word frequencies and graph structure.</source> | |
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85 | </markdowncell> | |
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86 | <codecell> | |
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87 | <input>summarize_freq_hist(sorted_wf) | |
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88 | summarize_centrality(centrality)</input> | |
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89 | <language>python</language> | |
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90 | <prompt_number>6</prompt_number> | |
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91 | <collapsed>0</collapsed> | |
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92 | <outputs> | |
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93 | <output> | |
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94 | <output_type>stream</output_type> | |
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95 | <text>Number of unique words: 9265 | |
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96 | ||
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97 | 10 least frequent words: | |
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98 | rosenhouse&apos;s -&gt; 1 | |
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99 | reconstruction, -&gt; 1 | |
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100 | parameterization -&gt; 1 | |
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101 | benda) -&gt; 1 | |
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102 | reconstruction: -&gt; 1 | |
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103 | payoff -&gt; 1 | |
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104 | electricity -&gt; 1 | |
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105 | kalman-bucy -&gt; 1 | |
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106 | clark--ocone -&gt; 1 | |
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107 | m-estimators -&gt; 1 | |
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108 | ||
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109 | 10 most frequent words: | |
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110 | large -&gt; 421 | |
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111 | process -&gt; 428 | |
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112 | markov -&gt; 440 | |
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113 | equations -&gt; 471 | |
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114 | limit -&gt; 518 | |
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115 | brownian -&gt; 536 | |
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116 | model -&gt; 542 | |
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117 | stochastic -&gt; 1000 | |
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118 | processes -&gt; 1087 | |
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119 | random -&gt; 2356 | |
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120 | ||
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121 | Graph centrality | |
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122 | random: 0.474 | |
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123 | limit: 0.336 | |
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124 | stochastic: 0.312 | |
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125 | walks: 0.307 | |
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126 | process: 0.297 | |
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127 | processes: 0.259 | |
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128 | theorem: 0.251 | |
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129 | time: 0.232 | |
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130 | equations: 0.213 | |
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131 | model: 0.209 | |
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132 | markov: 0.197 | |
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133 | large: 0.19 | |
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134 | brownian: 0.125 | |
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135 | models: 0.107 | |
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136 | percolation: 0.0852</text> | |
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137 |
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138 | </outputs> | |
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139 | </codecell> | |
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140 | <markdowncell> | |
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141 | <source>Plot histogram and graph.</source> | |
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142 | </markdowncell> | |
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143 | <codecell> | |
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144 | <input>plot_word_histogram(sorted_wf, n_words,"Frequencies for %s most frequent words" % n_words)</input> | |
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145 | <language>python</language> | |
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146 | <prompt_number>7</prompt_number> | |
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147 | <collapsed>0</collapsed> | |
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148 | <outputs> | |
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149 | <output> | |
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150 | <output_type>pyout</output_type> | |
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151 | <text>&lt;matplotlib.axes.AxesSubplot at 0x334b250&gt;</text> | |
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152 | <prompt_number>7</prompt_number> | |
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153 | </output> | |
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154 | <output> | |
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155 | <output_type>display_data</output_type> | |
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156 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQVhrQUFBRU1DQVlBQUFBaDdNWlBBQUFBQkhOQ1NWUUlD | |
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412 | QTd0MjdrWmlZaU1URVJNeWNPUk1MRml6QXVYUG4zcmo4dUhIagowS2xUSnhIb3ZieTgwS3haTS9U | |
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414 | CklpVWxCVWxKU1pnN2R5NDhQRHhFWUMyUEF3Y09JQzR1RGdFQkFkRFgxeGRCK05telp3Z0xDME5R | |
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415 | VUJDQXQ1OWJrWkdSK1BiYmI4VWQKeGZuejUvSFRUejloN2RxMWlJMk5GV1Y4U0Q3SUlDK2RHbmo0 | |
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416 | OENGMGRIVFFwVXNYSkNRa29LQ2dBUC8rK3k4bVQ1Nk1jZVBHVmVvVworOG1USitJcW5wMmRqY21U | |
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417 | SnlNZ0lBQkFjWXRMVFUwTlo4K2VSVnhjSE1hT0hZdjQrSGdSSktkTm13WmxaV1VrSnlkajgrYk4y | |
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418 | TFJwCmswelpBUUVCTURJeXdyVnIxOTY2ZlFEZzYrdUx0bTNiWXN5WU1aZ3laUXIyNzkrUGpJd00v | |
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419 | UHp6ejVnMmJScCsrZVVYbWJ1Snl0aSsKZlR0bXpwd0pUMDlQeE1YRklUTXpFM3A2ZXBnK2ZUcUE0 | |
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420 | dFphV1Jla2lJZ0lxS3VyWTgrZVBSZ3hZZ1JHang0TmIyOXZBTURaczJjUgpHaG9xTGtJVkRjQkE4 | |
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421 | VEhJek14RVJrWUc1czZkaTM3OStzSEx5d3ZuenAyRG5aMmR6QjFSZWNxWC92N2l4WXN3TkRURWxT | |
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422 | dFg0Tzd1Cmpoa3pabURod29YaStOKy9meDhwS1NrVnF1K3I0dUxpWUc1dWp0T25Ud01BWEYxZFlX | |
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423 | NXVqc0RBUUR4NjlBaC8vLzIzdUFPNWZQa3kKZXZYcUJUYzNOemc2T21MS2xDbElTRWpBelpzM01X | |
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424 | alFJTGk0dUZUcWp1MXRObTdjaUI0OWV1RFlzV013TmpaR256NTljTzNhTlR4KwovQmoyOXZaWXRt | |
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425 | d1pjbkp5eFB6U3ZVMkdEUnVHL3YzNzQrblRwOGpMeTRPTmpRMGNIQnlRa0pDQVhidDJRVU5Ebzlw | |
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426 | NktTMVlzQUNhCm1wcG8zNzQ5NHVMaUFBRFhyMTlINzk2OXNYcjE2Z3IvM2tzdVRuLzk5UmQwZFhW | |
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427 | aFpHUWtlcE1kTzNZTXpzN09NcW1zVjgrdFY5ZVgKbjUrUFVhTkdRVVZGUmFUZXdzUERNV1RJRUd6 | |
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428 | Y3VGR2NWeCtTRHk3SVMrL1VrcFA5eXBVck1EWTJocHVibTBpWFhMNThHWTZPamhYdQovcGVabVlr | |
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429 | MWE5Ymc3dDI3NG9BNk9UbUpIeWhRM0VKZnZYbzFBQ0FqSXdPeHNiRVlQSGl3T0pGbno1NE5WVlZW | |
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430 | T0RnNFlObXlaZGk5CmV6Y0NBZ0p3OE9CQkhEcDBDRStlUENsMS9kSW4wWk1uVDdCcDB5WmN1blFK | |
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431 | UVBGdG83VzF0UWlnQUdSK2VCVlJuaHhxbXpadHhPZlMKbGk4b0tJQzN0emRtenB3Sm9MamIzL0xs | |
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432 | eTJGZ1lBQS9QNy9YQWxKRkEvelJvMGRoYlcyTlVhTkc0WjkvL2tGR1JvWm94Y2JFeEVCZgpYeC9o | |
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433 | NGVFVjN1NlMvd2NIQjJQdTNMa0FpdmZsMmJObllXTmpVK1ZuSENYbDUrYm1Zc2VPSFZCVlZjV3Z2 | |
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434 | LzRxdm5OemMwUGZ2bjF4CjVNZ1JjYzVldW5RSmYvLzlONXlkblFFQS8vNzdMNVl2WHc0N096dkV4 | |
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435 | OGZqMXExYmVQandZWlhyQlFELy9mY2Yvdm5uSHdERnVmODUKYytZZ0l5TURMaTR1Nk4yN054WXVY | |
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436 | SWllUFh2aXYvLytRMUpTMGh2ejhBRHc5OTkvWS9Ma3lXamF0Q20wdExTUWxwYUc2T2hvTEZ5NApF | |
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437 | S2FtcHJDMXRhMXlJMFQ2Tng4VEU0TnUzYnJCM053Y3FhbXB5TTdPQmxEOHJFeFBUdy9yMXEwcmQ2 | |
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438 | QS9kT2dRN08zdGtaYVdocnk4ClBQVHIxdzhqUm93QVVOeTl0VVdMRnFJRi95YlM1OUovLy8wbkdo | |
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439 | dDVlWG1ZUG4wNkRBME5SZmZZcUtpb012UDU3OU1IRitSTGJOKysKSFFzWExvU0xpd3VpbzZNUkZS | |
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440 | VUZJeU1qZUhoNGlDQlFtVnZhdkx3OHBLYW00dkhqeDFpNmRDbnk4L1B4KysrL3c4ek1UQVNzM2J0 | |
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441 | MwpZOG1TSlRJUFdVdHl1Q1V0MXVYTGwwTWlrV0Rnd0lGWXZYbzFySzJ0TVdUSWtESi9wTkluNTlx | |
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442 | MWE5RzNiMTgwYXRSSVBIaExUMC9ICnZuMzdZR0ZoZ2UzYnQxZDQyNERxeWFHV25OeEhqeDdGNzcv | |
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443 | L2pvc1hMMEpmWDE5Y2pQTHo4OUdsU3hmODl0dHZJc2RjR2JHeHNlamIKdHkvUzB0TGc0T0NBenAw | |
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444 | N0l5c3JDMFZGUlRoeDRnUjBkWFhoNStjblU2ZXlaR1JraVA5N2VucGk3ZHExdUhidEdscTJiSW5B | |
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445 | d0VEeAozY2lSSTh1ZHkzMlZkR3Z2eFlzWDRwaDZlWGxoN05peDhQRHdFUE81dUxpSWgrOXVibTVv | |
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446 | MDZZTnVuWHJocFl0VzRvV1gzUjBOT2JPCm5ZdHAwNlpWV3l1d29LQUFKMDZjUUVwS0NoSVNFZ0FV | |
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447 | cCt0dTNicUZvVU9INHZuejU0aUtpa0tIRGgwd1lNQ0FVbjlIc2JHeDZOS2wKQys3ZHU0ZlUxRlFN | |
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448 | R3pZTU9qbzY0dng2L3Z5NXpET3F5cEErcmo0K1B2RDI5c2FMRnkvZzZPaUlVYU5HaVJSSVdsb2FI | |
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449 | ang0Z0h2Mwo3cFdyM0ZmSFdBREE0OGVQTVhyMGFGaFpXV0g4K1BIaTd2MXQ1NWFibXh0NjllcUZ2 | |
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450 | bjM3WXVUSWtkaTNieC9TMHRMZzVPUUViVzF0CnBLZW5WM1N6YTlRSEdlUVBIRGdBVTFOVGhJV0Zv | |
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451 | WHYzN3VMQjJKa3paOUNoUXdmczJMR2p3bVhtNU9TSTFzckRodzl4NE1BQjJOalkKWU9QR2pRQ0Fp | |
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452 | Uk1uWXVEQWdaZzFheFk2ZHV5SWt5ZFBvcWlvU09hMmRlclVxUmc2ZEtnSTlMLy8vanRhdEdnaFd0 | |
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453 | dmx2YzBPQ2dxQwptWmtaRWhNVDRlcnFpcFl0VzRwQkdVK2ZQb1dQajArbGM4VFZsVU85ZVBFaUpr | |
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454 | eVlnT1BIandNb2Z0RHE1T1NFd01CQVJFVkZvVWVQCkh1amV2VHRjWEZ3cVZVL2cvMXEyTzNmdVJO | |
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455 | ZXVYY1VGNTlHalIwaFBUeGNQSHN1VG9ybDc5NjY0WXdHQXpaczNZOCtlUFFDS0g4NXIKYVduaHp6 | |
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456 | Ly94STRkTzlDOWUvZFNXNjdsRlJnWWlJa1RKMkxvMEtGd2RYWEZzMmZQc0d2WExreWVQQm51N3U0 | |
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457 | eVAvd3paODZnWDc5KwpJaTNVcjE4L0RCOCtYRndnWW1KaXlyejdxNHlpb2lJOGZQZ1FvMGFOZ3F1 | |
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458 | cks0RGlmVFIyN0Zpa3BxYkN3OE1ETTJiTWtFbFZ2YnFQCjc5MjdoekZqeHNpMFVOdTJiUXROVFUx | |
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459 | eGZsVVhaMmRuZE96WVVlYXVZTnEwYVpnd1lRSm16NTROWldYbENxMXo5ZXJWV0xWcUZaNC8KZnc0 | |
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460 | Zkh4L1kyZG1KMUdwYVdwcm9SZmFtYzZ2a0xxK29xQWpQbnovSGhBa1R4Ty9SdzhNRGRuWjJZcDVa | |
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461 | czJaVjZubGdUZm9nZ3J6MApUczdLeXNLaFE0ZVFsSlFFRnhjWG1KcWFJamMzRnk5ZnZrUlJVUkVp | |
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462 | SWlKRTY2UzhDZ3NMRVJZV2hqLysrQU91cnE2WU1HRUNIang0CmdJQ0FBTmphMm9wQUh4NGVqcE1u | |
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463 | VCtMYXRXc29MQ3dVOVpKdUlUbzVPV0h3NE1FaTBOdloyVUZEUXdONWVYbWxqcHE3Y09HQ0NJWUoK | |
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464 | Q1Ftd3RMU0V2cjYrK0g3VHBrMVFWMWRIY0hDd3FHOUZWV2NPTlNjbkI0TUdEVUt6WnMzRWorSFNw | |
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465 | VXZZdG0wYnVuZnZqZ0VEQnVENgo5ZXZ3OXZhR3E2dHJoVk0wSmNFN0ppWUdJMGFNa0Fud0J3OGVS | |
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466 | SjgrZldUMmVYbHk4TW5KeVZpNWNpWE16YzF4NWNvVmJObXlCVnUyCmJCSHpoSWFHd3Q3ZS9yVWVV | |
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467 | K1VsZlV6dTM3OFBZMk5qbkQxN0ZtRmhZVEF3TU1DYU5XdFFWRlFFRHc4UERCOCtIQU1IRGtST1Rn | |
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468 | NWUKdm55SlpjdVdvVkdqUnZEeThoSmxEQmd3QUgzNjlLbldVYnl2bHBXVmxZVi8vdmxIWEhnQXdO | |
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|
469 | cmFHbVBIamtYYnRtMWw3bWFrbDgzTgp6UlYxdDdTMGhJK1BqN2hqVzdseUpRd05EYXQxaE9lZE8z | |
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|
470 | ZEVkMkdnK0tKWThoRGZ6ODhQenM3TzVUNW1KUTlqdzhMQzBLZFBIM1R1CjNCbno1czNEeXBVcjhl | |
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471 | dXZ2NWJaNmk3cFh0cThlWFBzM3IwYlFQSGRXdmZ1M1VXdk1nQVlQWG8wbGl4WlVwbE5mUy9lZTVC | |
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|
472 | L3RlL3AKK3ZYcnNXVEpFcWlxcW1MNDhPSGlPemMzdHlxMUdoODhlSUFoUTRiZzIyKy94ZDkvL3cy | |
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|
473 | Z09KZ2RPWElFOXZiMldMcDBxYmh0bFg0UQo0K0hoZ1ZtelptSDkrdldpei9MczJiTXhmUGh3MFJ2 | |
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|
474 | bGJRL3U3dDI3aDhURVJCSElnb0tDMEt0WEw2eGF0VXFzYTkyNmRlallzV09WCiswVlhKb2Y2cHRi | |
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475 | TXZYdjNvS21waWJGang4cE16OGpJUUY1ZUhvNGNPUUl0TFMxeE8xMWVBUUVCYU4yNnRlZ21PWFBt | |
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|
476 | VEl3ZVBScDcKOXV5Qmw1Y1gyclZyaDBPSERwVzdQT256NSt6WnM5aXhZd2NHRHg2TWtTTkh3c25K | |
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|
477 | Q1JFUkVRZ0xDME5ZV0JnU0V4TXIxZk1oS1NrSgpreVpORWhmU216ZHZZdkRnd2FKbCtmRGhRMmhv | |
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|
478 | YU9EMDZkTklUVTNGdzRjUGtacWFpdURnWUVSRlJhR29xQWpMbHkvSCtQSGpjZUxFCkNWSHVzR0hE | |
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|
479 | cWkxWVNtL1hzV1BIY1BUb1VYRWg5L1gxeFlRSkU4UkY1c21USjZXZXN5VXQvSWtUSnlJNE9CaVhM | |
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|
480 | bDFDejU0OThldXYKdjhMSnlRbTZ1cnBWemoyL2VneGV2bndweGk5TW5EZ1JQLzc0SXdZTUdDRHVR | |
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|
481 | TXA3SWF6cUdJdVM0M3ZpeEFtb3FhbUpWS0d2cnkrbQpUWnNtVW41YnQyN0ZoZzBiUHJoZU5LVjU3 | |
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|
482 | MEcrUkVSRUJJWU1HU0o2c1ppYW1tTE1tREY0K3ZRcHRtelpncFl0VzFhcUc2SDBnVml3CllBSEdq | |
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|
483 | Qm1EMzM3N1RXYlFqcSt2TDZaT25ZcGJ0MjdKekYvU2NyMTkremFhTkdtQzBhTkhpejdGRGc0T3NM | |
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|
484 | S3lLak1ubVp5Y0xGcEwKdnI2K2FOQ2dBZWJQbncrZytJYzRhZElrckZ1M1RxeXpxcmZBbGNtaFNn | |
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|
485 | ZjRzTEF3K1ByNjR1alJvd0NLVzZ5OWV2VVNBNmhLUEh2MgpESk1tVGFwd1h2dlJvMGY0OGNjZlgr | |
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|
486 | dXU1Kzd1am1YTGxtSGh3b1dWN2licDZlbUpuajE3SWo0K0h1dldyVVBMbGkyaG9xS0NaY3VXCllj | |
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|
487 | aVFJVEEwTkN4M1B2ZFZ1Ym01aUkyTlJYeDh2TmlYdHJhMkNBb0tFaTNEUC83NEEvdjM3NGVLaW9w | |
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|
488 | NEdMZDY5V3FvcWFuaDZ0V3IKeU1uSndabzFhekJseWhRY08zYXNVdlVvamZSKzJyOS9QOXEwYVlO | |
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|
489 | ZmZ2a0Z3NGNQRncwYWYzOS9qQmd4UWp3emVKUFEwRkIwN2RvVgo0ZUhoMkx0M0w3Nzc3anZSdGRm | |
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|
490 | ZjN4OS8vLzIzNlBGU1dhL2VFWldrT2g0OGVJREZpeGVMbHZpT0hUdEVrQytQNmh4amNlclVLUXdZ | |
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|
491 | Ck1BQ2ZmLzQ1dkx5OGtKYVdoai8vL0JPZE9uV0N0YlUxOVBUMEt0eTRlWi9lZTVBdkxDeEVYRndj | |
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|
492 | dExTMFlHaG9LQTV5V2xvYVJvMGEKQlZ0Ylc5aloyVlg0RmxzNlNOeTdkdy9QbmoxRGZuNCtVbE5U | |
|
|
493 | TVcvZVBOamIyK1BCZ3dkNC9QZ3hEaDQ4K0Zvdm5jT0hEOFBSMFJGcAphV25ZdkhrekRBME5NWEhp | |
|
|
494 | UkppWW1JaUhPVy9MNjk2OGVSTzllL2ZHbURGak1IandZSnc3ZHc3R3hzYmlWaThnSUVBbVoxclJs | |
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|
495 | a0YxCjVGQkxuaU1jT1hJRXVycTZPSExrQ0w3NzdqdlJ1K2pCZ3dmbzJyV3JlQzVTc3M3S1BDU01p | |
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|
496 | NHZENk5HanhlZVNuaE1scE8ra0tySXYKUWtORFlXaG9LRWJlSmlZbXd0M2RIWU1HRFJJdnM2cE1x | |
|
|
497 | MHQ2RzErOGVJRTVjK2FnYytmT3lNN094dDY5ZXpGdTNEak1tVE1ITzNicwpFQUhtNE1HRGFOT21q | |
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|
498 | ZGpmTGk0dWFOKyt2UWowUzVZc2dhT2pvM2pBWEZYU1plemV2UnV6Wjg4V0Y5L1RwMCtqZCsvZUly | |
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|
499 | QWZQbnhZCnBpWDdhZ3Y1OU9uVHNMZTNGNTlEUTBPaHA2ZFg2WXRqV1RadTNBaExTMHVZbUpoZzdk | |
|
|
500 | cTFNcjNJM04zZDBibHo1d28xNnFwcmpFVmcKWUNDMHRMUVFIaDZPNWN1WDQ2dXZ2c0wrL2ZzQkZE | |
|
|
501 | KzREUThQcjNDUHZ2ZnR2UVQ1TjkxK0JRUUV3TURBQUh2MjdKRjUydi9peFl0Swo5YUlwdWZVNmV2 | |
|
|
502 | UW8rdmZ2ajlXclYyUHk1TWw0K3ZRcEhqMTZoR1hMbHNIVTFCUXFLaW80ZCs2Y1RKMmVQWHNHUjBk | |
|
|
503 | SGVIcDZJakV4ClVZdytmZjc4T2I3Nzdqc3NXclRvdFFCVkdpY25KeWdxS29wVVUzUjBOTHAwNlNJ | |
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|
504 | Qy9mSGp4eXYxa0xXcU9kVGJ0MitMVnVqRGh3OWgKWkdTRWYvLzlGNGNQSDBhN2R1M3cvZmZmWTlx | |
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|
505 | MGFRQ0tMeDRWNmNiNEt1bnVtTjI2ZFpONTZCc1lHQ2k2T0piM3RsdzZuWmFabVFrWApGeGMwYnR4 | |
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|
506 | WTlGSUNJSTZ4cGFVbHNyT3pLNXo3enN2THc2NWR1M0R0MmpWY3ZYb1ZTNWN1eGZQbnorSG82QWhU | |
|
|
507 | VTFPOGZQa1NWNjVjCmdhdXJLNVl1WFNxQ0NGQjh6djN3d3c4aTBHL1lzQUdkT25WQ1ZGUVVjbkp5 | |
|
|
508 | WGh0VlhCM3k4dkt3WXNVS0tDb3FpcTZUdWJtNU9IMzYKTkhSMWRjdnNySEQ4K0hHY1AzOGVPM2Jz | |
|
|
509 | d0l3Wk01Q1ltQ2p1K0taT25WcmhaMkJ2czJQSERoZ2FHZ0lvZmtiUXFGRWpzZDY0dURpTQpHVE9t | |
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|
510 | ekhFbTBxcDdqSVdQajQ4WVB3SUErL2J0dytlZmYxNnB6aDRmaXZmYWt2ZjM5NGVycXl2Mjd0Mkxs | |
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|
511 | SlFVbkQ1OUdvYUdoamg0CjhHQzVnK2lycE4rOUVoNGVEblYxZGNURnhXSFpzbVZRVVZGQnAwNmRS | |
|
|
512 | RDR5SWlKQ3ZDYTM1T0NYNU5rOVBEeXdZc1VLM0x0M0Q2MWEKdGNMWnMyZHg4T0JCbUp1YlZ5Z28z | |
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|
513 | N3AxQ3p0MzdvUzJ0aloyN2RvRm9QZ09RRVZGcFZwR0NWWTJoM3JpeEFuVXExZFBCS0o3OSs3aAp6 | |
|
|
514 | cDA3TURZMkJsRDg4RXNpa1lnV1BWQzUxdkQ1OCtleGNlTkdiTisrSFltSmlUaHo1Z3dzTEN4Z1oy | |
|
|
515 | ZUhRNGNPb1VPSERtSUViWGxJCkIrdVMxbDllWGg3YzNOeGdZV0VoOHk2V3BLU2tVbC96Vzk2Nk4y | |
|
|
516 | blNCRXBLU2lKTmtaT1RBd2NIQjVpWm1ZbHpyYVRGTHgxRVhnMzAKcTFhdFF2ZnUzYXR0Skt2MGhT | |
|
|
517 | NDhQRnc4eEYyNmRDazZkKzRzdXZMbTV1Ymk3Tm16TWoxQXBJK2psNWNYZnZqaEI4eWVQUnQ5K3ZT | |
|
|
518 | Qgpzckl5NXMrZkQzZDNkMnphdEFtR2hvWlZIaXoyNmdVMk5EUVVjWEZ4MkwxN040WU5HNFovLy8w | |
|
|
519 | WGpSbzFncDJkSFJJU0VzcjlYS3FxCll5emVkT0UvZmZvMGZ2cnBKNlNscFltR1lzK2VQYUd0clYy | |
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|
520 | bDdzTHYwM3NMOGo0K1B0RFQwOFBHalJ2eDIyKy93Y2pJQ0hmdjNrVkEKUUFDMHRiVkZYcmdpc3JL | |
|
|
521 | eU1HYk1HTkZxam8yTnhkV3JWeEVWRllXT0hUdml6cDA3Nk4rL1A3UzB0TVN3NXBJZlpsRlJFUzVj | |
|
|
522 | dUFCbApaV1c0dTdzak5qWVcrdnI2OFBIeHdhRkRoOUNqUnc5MDZkS2wwdThUT1hqd0lMUzB0T0R2 | |
|
|
523 | NzQrUWtCQllXbHBXT2I5WjFSeHFRRUNBClRDQzZjdVVLK3ZYcmg5emNYSnc3ZHc0Ly9mUlRxY1Bk | |
|
|
524 | eStQU3BVdm8wS0VETm0zYWhPSERoMlBtekpuWXRXc1g3dDY5Q3hzYkc2eGYKdjE0TVFpdlBCVVI2 | |
|
|
525 | SGc4UEQ4eWNPUlBMbHk4WDNTYmQzZDB4YWRJa21WNHNsVlZVVklSSGp4NmhjK2ZPVUZWVkZTM0N3 | |
|
|
526 | c0pDNU9YbAp3ZGJXRmwyN2RpMnpWOVhSbzBmUnBrMGIwWEt2eWdYbmJaeWNuTVFENjE5KytRVmR1 | |
|
|
527 | M1o5NC90VHBQZGhTa29LZkh4OHhBTmFQejgvCmFHbHBZZVRJa2RpN2R5OW16cHhaNVlGTzBqSXpN | |
|
|
528 | MlhHR05qWjJZbkJTRFkyTmpJUHM5K21xbU1zcEtkNWUzdGorL2J0NHNXSDQ4ZVAKaDYydExmYnUz | |
|
|
529 | UXMzTnpmODlOTlBIL1Q3NHQvbXZRWDVUWnMyaWR2SzdPeHMvUFhYWDVnOWV6YUE0cDFlbWI2bkwx | |
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614 | SzZjbEtIOHAwRi9EdzRVTXB4bDVhV3Nxd3NEQmV2bno1bmZ2WSsxb01YdWdaVTF1NGZmczJmL3Z0 | |
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615 | Tjk2OGVaTUtoY0pzdlNBdQpMbzVMbHk1bFJrYUdUUjhHb2RGb09HSENCRVpFUkpEc0RIT1kwaWhv | |
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617 | ZGJuUFdBaHZjeUQvR1JwbGRQSGlSV1JtWm1MSWtDSFl2WHMzZkgxOUxTcW5wcVlHQnc0Y1FIQncK | |
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619 | c1VMakJrekJ2WDE5WmcrZlRvQwpBZ0tRbXBxS3RXdlg0dkxseS9qODg4K3hjZVBHYnQxOVdrTmxa | |
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620 | U1VXTFZxRXZMdzhKQ1FrQUFBV0xseUkzYnQzNDhzdnY3Ulp2ZGhsCmRweWJtNHZXMWxhMHQ3Zmoz | |
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621 | TGx6eU0vUHg4U0pFNlhYdHJXMWdTU0dEaDM2M25McjZ1cVFsWldGMWF0WEl5SWlBblYxZGFpcnE4 | |
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622 | UEQKaHc5UlZGU0U1T1JrYk5teXhXcWY2ei9EV3FOSFQ3TXR0clMwVUtWUzhlN2R1OHpNekdSUVVK | |
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623 | Q1VYUzRuSjRjelo4NjB5VEZ6b2ZjdwpHQXhNVDArbndXQmdTVWtKQXdJQ2VPL2VQWjQvZjU1S3Ba | |
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624 | TGZmZmVkOU56UDJ0cGFpMDVHeTgzMExPQ1ZLMWRLQndiZmw0dm1Zemx5CjVBZ25UcHdvN1hENThj | |
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625 | Y2Y2ZWZueCtibVpyTlU0ZDFsclRNV2dqbWJQK1BWNU0xUXk0TUhEM2owNkZHV2xwWnkwcVJKMHFL | |
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626 | YktTMm8KSmZubWhmK1c5dloycHFTa2NNbVNKUXdKQ1pIYVVFTkRBeHNiRzgyeUg5cFRtSys4dkp6 | |
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627 | OSt2VmpkSFMwUmFGT2Eram82S0JhcmVhWgpNMmY0K1BGakZoWVdNaWNuaDRHQmdVeE9UcVpTcWJR | |
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628 | b2Y1QzF6bGdJLzJlVmNJMGwrTStVOFBidDIzajY5Q2tjSFIyeGJOa3lkSFIwCm9MR3hFUU1HRE1D | |
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629 | VksxZXdZOGNPSER4NEVLTkhqelo3bnlDOFMzbDVPVEl6TS9IVFR6OUJwVkxoMHFWTFVLdlZPSFhx | |
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630 | RkFJQ0FnRFkKWnh1NmRPa1MzTjNkNGU3dWJ1dXFTSXFMaTdGdDJ6YTR1Ym5CdzhNRG8wYU5Rdi8r | |
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631 | L2ZITk45L0EyZGtaUTRZTXNhamM4dkp5eE1mSApZL3IwNlJnOGVEQVNFaElRR1JrcGMrMy91K3lp | |
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632 | a3pkZFpOZXVYVU5TVWhMOC9mM2g1dVlHblU2SDY5ZXZJejA5SFM0dUx0aTdkeTgyCmJkcUVxS2dv | |
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633 | VzFkWjZDWGEydHFRbDVlSHNySXlUSmt5QmZYMTlmaisrKzh4Yjk0OFcxZXQxekVhamZqenp6L2g3 | |
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634 | dTRPWjJkbkZCVVYKNGVlZmY4YUpFeWZnNU9UVW83S3JxcXFRbFpXRmhJUUVwS2FtNHZYcjEzQndj | |
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635 | TEM3d2JjM3NvdE9IbmozSXN5MWE5ZWcxK3ZSMGRFQgpUMDlQK1BuNUlUZzQrS052Y1JONnYrYm1a | |
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636 | clMydG1MNDhPRVlOMjZjYUVNOVlEUWFjZlRvVWVUazVLQzB0QlErUGo2eWxLdlJhS0JXCnE3Rm56 | |
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637 | eDVFUjBmTFVxWUEyTTNXbExhMk5seThlQkYrZm42SWlJakExMTkvalZ1M2JzSEp5UW5idG0yVExr | |
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638 | WnhjUXFXOFBMeWdwZVgKbDluZlJCdXl6S3RYcitEbzZJaXlzaktNSHo5ZXRuTG56Sm1EL1B4OGVI | |
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639 | cDZ5bGFtWUVkMzhnQlFVVkdCSlV1V1lPZk9uVWhLU29KVwpxOFd4WThlUWw1ZUhRWU1HaVl0U0VP | |
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640 | eUVQYTVqQ085bU4zZnlBS0JTcVVBUzhmSHhLQzR1bGhaaFhGeGNiRjAxUVJDNkVCMTg3L0UvClcx | |
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641 | ZmdUVkZSVVNndExjV2pSNDhRRkJTRXlNaEl2SDc5R25ZMDRSQUVRZWcxN09wTzNtVCsvUGtZTUdB | |
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642 | QTFHbzF4b3daSXhaaEJFRVEKTEdSWE1mazNhYlZhZUhwNll1ellzYmF1aWlBSVFxOWsxNTI4SUFp | |
|
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643 | QzBETjJGNU1YQkVFUTVDTTZlVUVRaEQ1TWRQS0NJQWg5bU9qawpCVUVRK2pEUnlRdUNJUFJob3BN | |
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|
644 | WEJFSG93LzRHQlBIMWRPSE9GK01BQUFBQVNVVk9SSzVDWUlJPQo= | |
|
|
645 | </png> | |
|
|
646 | </output> | |
|
|
647 | </outputs> | |
|
|
648 | </codecell> | |
|
|
649 | <codecell> | |
|
|
650 | <input>plot_word_histogram(sorted_wf, 1.0, "Frequencies for entire word list") | |
|
|
651 | </input> | |
|
|
652 | <language>python</language> | |
|
|
653 | <prompt_number>8</prompt_number> | |
|
|
654 | <collapsed>0</collapsed> | |
|
|
655 | <outputs> | |
|
|
656 | <output> | |
|
|
657 | <output_type>pyout</output_type> | |
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658 | <text>&lt;matplotlib.axes.AxesSubplot at 0x3371e50&gt;</text> | |
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659 | <prompt_number>8</prompt_number> | |
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660 | </output> | |
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661 | <output> | |
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662 | <output_type>display_data</output_type> | |
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786 | VDBkcWFpcVdMbDJLM054Y3RHdlhEaDkvL0RHZWUrNDVWUUltSXJJR2RYWEEyYlBBUXc5Wk9oTHph | |
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788 | aHFLME5CUWsxOUxSR1JKQnc0QXZYc0RIaDdxdHFQVmFsdGsKRXpDVGtrRkQwdExTRUIwZHJSejcr | |
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790 | aWd0TFZXT3k4cks0Tzd1YnBhZ2lJaXMzWll0d0RYVHFEYXZ5Y2tnS0NoSVdWMWtNQmlnMSt2UnEx | |
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800 | anFhVmpneUlpS3pkRjE4WTcwZGtEWWxBVFJ3WkVCSGRSRjZlOFNLenZEemcKTnZmdVVrMnJ2SVUx | |
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808 | UTBsc1hUUkVSa2w0NGVCY2FOQS96OWdSOStBRHAwc0hSRXB1RnFJaUlpTXlrb0FCNTgKRUNncUFs | |
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809 | SlNiR3NYTTY0bUlpSXlrLy82TCtESUVTQTUyYllTZ1pxNHVRMFIyWldTRW1EbFNtRDFhdU5wSWx2 | |
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810 | QnpXMklpTXlrdUJodwpkd2NHRFFJeU15MGRUZE53YVNrUlVUUHMzV3U4OTVDM3QrMG1BalZ4em9D | |
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811 | SVdqMnQxbmdkUWR1MjluMlY4YTN3TkJFUnRYcU9qc0RvCjBjQnp6d0VQUDJ6cGFKcUhTMHVKaUc3 | |
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812 | VHYvNEZUSmdBMU5RQTU4NEJIaDZXanFqNU9HZEFSSFFiZERwZ3l4Ymo3YWp6ODF0SElsQVQKNXd5 | |
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813 | SXFGVjY0QUZnNEVBZ090cTRnb2h1amNtQWlGcVY3NzhIMXE0MTNvMzB5eTk1VVptcGVKcUlpRnFW | |
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814 | blR1TnQ1bFl2eDd3OGJGMApOTGFESXdNaWFoWHk4b0RodzRIS1NtRHBVdUN4eHl3ZGtXMHhlekpJ | |
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816 | cnBhSXFFSFYxWUNURXhBU1lrd0MvZm9aTHk2ajIyUDJaREI1OG1TNDJ2c3VFVVRVWXFxcmdhb3EK | |
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817 | NE1RSllQZHVTMGRqdTB4T0JqazVPY2pJeUxpaFBEczdHeFVWRldZTmlvaW9NVTg5WlZ3Nk9tYU1j | |
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818 | WmN5ZDNlZ1V5ZExSMlc3VEJwTQpCUVlHb3FDZ0FLNnVyamh5NUFnQW9LYW1CZzgvL0RBS0N3dHg5 | |
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819 | dXhackZ1M0RoRVJFYW9HUzBSMHhROC9BRys5QmZqNWNjdEtjekJwClpKQ2NuSXpVMU5SNlpUcWRE | |
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820 | bzZPamtoUFQwZHFhaXFXTGwwS0FFaElTSUNibXh0aVltSnc2ZElsODBkTVJIYXJvQUJJU0FEaTQ0 | |
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821 | MnIKaG9ZTk0vN3dXb0xtTTJsazRPTGlncEtTa25wbE9wME9ZV0ZoMEdnMDhQUHpRMzUrUGd3R0Er | |
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822 | TGk0a3h1UEQ0K1h2azNON2tob3NicwoyMmRjTnZyU1M4QUxMOWhIRWxCN1U1c3JtanpubnBhV2h1 | |
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823 | am9hT1hZeDhjSFI0NGNRVUJBZ01sMVhKc01pSWdhVTFjSFJFUVlSd2IyCjR2b3Z5Z2tKQ2FxMDAr | |
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824 | VFZSRzV1YmlndExWV095OHJLNE00YmdCQ1JtZm40QU8zYkF5NHV3S3had0IxM1dEcWkxcW5KSTRP | |
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825 | Z29DQmwKZFpIQllJQmVyMGV2WHIxdXF3N3VnVXhFamJsd3diaHN0R3RYNDdHam8yWGpzUlNyMkFP | |
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826 | NXJLd01KMCtleE15Wk02SFZhdUhpNG9Kego1ODRoUER3Y2lZbUpTRXBLUWxaV0ZqWnUzR2g2dzl6 | |
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827 | UGdJZ2FVRlVGbEpWZFBSNDBDRGh6NW1veXNIY1czYzlnOGVMRm1EdDNMcHlkCm5SRVJFWUZ0Mjdh | |
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828 | aGI5KytlUHZ0dC9IR0cyK2d1TGdZcTFhdHV1M0c0K1BqVzJSaWhJaHN4K09QQXoxN0FrT0hHbis2 | |
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829 | ZGVQMUE0QngKWktEbVBDdDNPaU1pcS9MZ2cwQnNyUEdSYnNTZHpvaUlTRFZNQmtSa01WOS9EYmk1 | |
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830 | QWYzN1gvM1JhbzJyaDZobFdmVGVmbHhOUkdUZgpUcDhHeG84SDNuenphcG1EQTlDbmorVmlzbFpX | |
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831 | c1pwSWxZWTVaMEJrOTVZdUJVcEtqSTlrR3JVK08zblhieUpTMWVYTHhsM0lHbkxOCmRhdGtZVHhO | |
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832 | UkVTcVdya1NtRDhmOFBadStQZUxGclZzUExhS3A0bUl5S2J4VkpCNWNXa3BFUkdwaHNtQWlJZzRn | |
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833 | VXhFVFZkWkNVeWQKYXJ5MTlNMmNPZ1ZNbXRSeU1WSFRjQUtaaUpxc3RCVFl0ZzM0bi8rNTlmT0dE | |
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834 | MitaZUZvelRpQVRrZFU2ZHc0WU1jTDRTQzJERThoRQpSS1FhSmdNaUl1SUVNaEhWZCtvVWNQeTRh | |
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835 | Yys5Y0VIZFdLamxjQUtaaU9wNThVWGc0RUhqWElBcHBreFJOeDR5NGdReUViV29TWk9BCm1UTzVI | |
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836 | TlJhY1FLWmlJaFV3MlJBUkVSTUJrUkV4R1JBUkVUZzBsSWltM2Jnd00wM2pta3FjOWRIdG9GTFM0 | |
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837 | bHMySDMzQVhmZEJmVG8KWWI0NnZiMkJJVVBNVngrWkI1ZVdFdEZOK2ZnQUtTbkdSN0lQWEZwS1JF | |
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838 | U3FZVElnSWlJbUF5SWlZaklnSWlJd0dSQVJFWmdNaUlnSQpUQVpFUkFSZWdVeDBnNVFVWVBkdVMw | |
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839 | ZGhtckl5UzBkQXJRV3ZRQ2E2em4vL041Q1pDVXljYU9sSUd2Znl5MEN2WHBhT2dsb0NyMEFtCmFt | |
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840 | RXpad0lUSmhnZmlhd05yMEFtSWlMVk1Ca1FFUkdUQVJFUk1Sa1FFUkdZRElpSUNFd0dSRVFFSmdN | |
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841 | aUlnS1RBUkVSZ2NtQWlJaWcKUWpLb3JhM0Z6cDA3VVZOVFkrNnFpWWhJSldaUEJyTm56MFoxZFRX | |
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842 | bVQ1OXU3cXFKaUVnbFprMEd4Y1hGNk42OU95Wk9uSWk3N3JvTApXVmxaNXF5KzFWTHo1bE8yaG4x | |
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843 | eEZmdmlLdmFGK2t4T0JqazVPY2pJeUxpaFBEczdHeFVWRlFDQXlzcEtkT3pZRVFEZzZPaW9sTk90 | |
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844 | CjhRLzlLdmJGVmV5THE5Z1g2ak1wR1FRR0JpSTRPQmhSVVZGS1dVMU5EY0xEd3pGcDBpUjRlWGto | |
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845 | S1NrSlhsNWVPSDM2TlBMejg2SFQKNmVEdjc2OWE0RVJFWkQ0bTdXZVFuSnlNMHRKU1JFUkVLR1U2 | |
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846 | blE2T2pvNUlUMDlIWm1ZbW5uMzJXVVJFUk9EZGQ5L0Yrdlhyc1h6NQo4a2JydFlYN3hiZUVFeWVB | |
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847 | bjMrMmRCVFd3UnI2NHRBaDRMNzdMQnNEVVVzemVUK0Q3T3hzVEp3NEVVZU9IQUVBdlBQT08rallz | |
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848 | U05pClkyTUJBUDM2OWNPSkV5Zmc0R0RhbVNlTlJ0UEVrSW1JN0pzYSt4azBlYWV6dExRMFJFZEhL | |
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849 | OGMrUGo0NGN1UUlBZ0lDVEhvOU43WWgKSXJJZVRWNU41T2JtaHRMU1V1VzRyS3dNN3U3dVpnbUtp | |
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850 | SWhhVnBPVFFWQlFrTEs2eUdBd1FLL1hveGMzWXlVaXNra21KWU95c2pJVQpGUlhoOHVYTEtDd3NS | |
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851 | R1ZsSlVhUEhvMzE2OWRqMzc1OVdMUm9FZTYrKzI2VEdreEpTY0hnd1lQUnYzOS9mUFRSUjgwSzNs | |
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852 | cmw1dVppCi9QanhHREprQ0VKRFEvSGxsMThDQVBSNlBSNTU1QkY0ZTN2ajBVY2ZSWGw1dWZLYUR6 | |
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853 | LzhFUDM3OTRlZm54OVNVMU9WOHN6TVROeDkKOTkzbzA2Y1BGaTFhMU9MdnhSenE2dW93Yk5nd1RQ | |
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854 | ei9GUVAyMmc4QVVGRlJnVm16Wm1IQWdBSHc4L09EVHFlenkvNzQ5Tk5QTVhyMAphQXdmUGh3dnZQ | |
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855 | QUNBUHY2dTVnelp3NjZkKytPdSs2NlN5a3o1L3V2cmEzRlUwODlCUjhmSDRTR2hxS2dvS0R4b01R | |
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856 | RTgrYk5reEVqClJraGdZS0NNR0RGQ05tN2NLQ0lpWDMvOXRZU0hoOHZUVHo4dEpTVWxwbFFsUTRj | |
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857 | T2xUMTc5a2gyZHJZTUhEaFFpb3FLVEhxZExjblAKejVkRGh3NkppRWhSVVpIY2VlZWRjdkhpUlZt | |
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858 | NmRLbkV4c1pLVlZXVnpKczNUNVl2WHk0aUlvV0ZoVEp3NEVBNWUvYXNhTFZhR1RacwptRkxYQXcv | |
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859 | dVprWWpBQUFFaFVsRVFWUThJQnMzYnBUaTRtSUpEZzZXbjM3NnlTTHZxVG5lZmZkZCtjTWYvaUFU | |
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860 | SjA0VUViSGJmaEFSCldiQmdnU3hldkZncUt5dWx0clpXeXNySzdLNC9MbHk0SUw2K3ZsSmVYaTUx | |
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861 | ZFhYeXdBTVB5UGJ0MisycUgxSlNVaVE5UFYzOC9mMlYKTW5PKy8zLys4NThTR1JrcEZSVVY4dFpi | |
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|
862 | YjhtOGVmTWFqY21rWkdBdVpXVmxNblRvVU9YNFQzLzZreVFsSmJWa0NCWVJFUkVoeWNuSgpFaGta | |
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863 | cVNTSm4zLytXU1pQbml3aUl0dTJiWlBubjM5ZWVmN1FvVU5GcjllTGlFaWZQbjJVOG5mZmZWZFdy | |
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|
864 | bHpaZ3BFM1gyNXVydHg3Cjc3MnlhOWN1aVlpSUVCR3h5MzY0SWlBZ1FDNWR1bFN2ek43NjQ5S2xT | |
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865 | K0xqNHlONWVYbFNYbDR1SVNFaGN1REFBYnZyaDZ5c3JIckoKd0p6di84VVhYNVN0VzdlS2lESDVq | |
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|
866 | aGd4b3RGNFd2U3VwVC85OUJNR0RScWtIUHY1K2VIQWdRTXRHVUtMTzNYcUZJNGRPNGFSSTBmVwpl | |
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|
867 | LytEQmczQ3dZTUhBUml2MlJnOGVMRHltb0VEQjBLbjArSFVxVlB3OFBCUXltMnh2K2JQbjQvbHk1 | |
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868 | ZlhXM0pzai8wQUFMLysraXVxCnFxb1FFeE9Eb0tBZ0xGMjZGSldWbFhiWEg1MDZkY0txVmF2ZzYr | |
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|
869 | dUxIajE2SURnNEdFRkJRWGJYRDljejUvcy9lUEFnL1B6OEFBQmQKdTNaRllXRWhxcXVyYjlrK2Iy | |
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|
870 | R3RJcjFlajZpb0tMejMzbnZvM0xuemJTMm5iZWc2ak50NXZUVklTa3FDaDRjSGhnMGJWaTkyZSt1 | |
|
|
871 | SApLNnFxcW5EaXhBbEVSa1pDcTlYaTJMRmorT3Fycit5dVA0cUtpaEFURTRPTWpBeGtaMmRqLy83 | |
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|
872 | OVNFcEtzcnQrdUo0NTN2K1ZjakdlCjlibXR1bHMwR1FRR0J1TDQ4ZVBLOGJGanh6QnExS2lXREtI | |
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|
873 | RjFOYldJakl5RWpObXpNQWpqendDd1BqK016TXpBUmduZmdJREF3SFUKWDVrRkFNZVBIMGRnWUNE | |
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|
874 | NjlldUh3c0pDcFR3akk4T20rdXRmLy9vWHRtM2JoanZ2dkJQVHBrM0RybDI3TUdQR0RMdnJoeXY2 | |
|
|
875 | OWV1SApnUU1IWXVMRWllalVxUk9tVFp1RzdkdTMyMTEvSER4NEVLTkdqVUsvZnYzUXJWczNQUDc0 | |
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|
876 | NDlpN2Q2L2Q5Y1AxelBIK2c0S0NibmhOClNVa0p1bmZ2amc0ZE90eXkvUlpOQm5mY2NRY0E0NHFp | |
|
|
877 | N094cy9QREREMHJ3clltSTRLbW5ub0svdjcreVVnSXcvZ2Q5L3ZubnFLeXMKeE9lZmY2Nzg0WTRj | |
|
|
878 | T1JJN2R1eEFUazRPdEZvdEhCd2M0T3pzRE1BNFhOeTRjU09LaTR1eGRldFdtK3F2Tjk5OEU3bTV1 | |
|
|
879 | Y2pLeXNMRwpqUnNSRmhhRzlldlgyMTAvWEt0Ly8vN1E2WFF3R0F6NDdydnZNR0hDQkx2cmo3Rmp4 | |
|
|
880 | eUl0TFEwbEpTV29ycTdHOTk5L2ovdnV1OC91Cit1RjY1bnovUVVGQjJMQmhBeW9xS3JCNjlXclRr | |
|
|
881 | dVR0VG5vMGwxYXJsVUdEQmtuZnZuM2xndzgrYU9ubVc4VGV2WHRGbzlGSVFFQ0EKREIwNlZJWU9I | |
|
|
882 | U3JmZi8rOVhMeDRVUjUrK0dIeDh2S1NSeDU1UkprRUVoRjUvLzMzcFcvZnZqSjQ4R0JKU1VsUnlv | |
|
|
883 | OGRPeWJEaGcwVApYMTlmK2N0Zi9tS0p0Mk1XV3ExV1dVMWt6LzN3eXkrL1NGQlFrQVFFQk1pQ0JR | |
|
|
884 | dWt2THpjTHZ0ajdkcTFNbTdjT0JreFlvUXNYcnhZCjZ1cnE3S29mcGs2ZEtqMTc5cFQyN2R1THA2 | |
|
|
885 | ZW5mUDc1NTJaOS96VTFOVEo3OW16eDh2S1NrSkFReWMvUGJ6UW1rKzlOUkVSRXJSY24Ka0ltSWlN | |
|
|
886 | bUFpSWlZRElpSUNFd0dSRVFFSmdNaUlnS1RBUkVSQWZnL2ZIUitKMkhkelZzQUFBQUFTVVZPUks1 | |
|
|
887 | Q1lJST0K | |
|
|
888 | </png> | |
|
|
889 | </output> | |
|
|
890 | </outputs> | |
|
|
891 | </codecell> | |
|
|
892 | <codecell> | |
|
|
893 | <input>plot_graph(wgraph)</input> | |
|
|
894 | <language>python</language> | |
|
|
895 | <prompt_number>9</prompt_number> | |
|
|
896 | <collapsed>0</collapsed> | |
|
|
897 | <outputs> | |
|
|
898 | <output> | |
|
|
899 | <output_type>display_data</output_type> | |
|
|
900 | <png>aVZCT1J3MEtHZ29BQUFBTlNVaEVVZ0FBQWQ4QUFBRXZDQVlBQUFBRWtzdEJBQUFBQkhOQ1NWUUlD | |
|
|
901 | QWdJZkFoa2lBQUFBQWx3U0ZsegpBQUFMRWdBQUN4SUIwdDErL0FBQUlBQkpSRUZVZUp6c25YZDhG | |
|
|
902 | TlhheDc4elc5TXJDVDJoSXpVSWdTczFkQVVFQks1S1I2OVlVT0crCnlNc0ZMSWg0QWRHcnlLc29L | |
|
|
903 | Z29xaUNERmk0b1VJVkpFcW5TVVhxVWtFRkozczJYTys4ZGtKMW1TQUlLRTR2bCtQdEhkbVRPbjdU | |
|
|
904 | Qy8KT2M5NXpuTVVJWVJBSXBGSUpCSkppYUhlN0FwSUpCS0pSUEpYUTRxdlJDS1JTQ1FsakJSZmlV | |
|
|
905 | UWlrVWhLR0NtK0VvbEVJcEdVTUZKOApKUktKUkNJcFlhVDRTaVFTaVVSU3dranh2UVY0K2VXWDZk | |
|
|
906 | Ky9mNG1WZC9Ub1VWUlZSZE8wRzVKL1NiZm5SdlBVVTAveDZxdXYzdXhxCjNQSU1HalNJRjE5ODhX | |
|
|
907 | WlhReUs1TFpEaWV3M0V4OGNUR3h0TFRrNk9jZXlqano2aWRldlcxNVNmb2loL1Z0VnVDZTYwOXJ6 | |
|
|
908 | MzNudTgKOE1JTE43c2ExODJORmtkRlVlNjQzMTVTY3Z6Vlh0NmsrRjRqbXFieDl0dHYzK3hxbERo | |
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|
909 | ZXIvZW1sZTN4ZUc1YTJaS3JROGJzdVhxSwp1cC9sUGY3WFFZcnZOYUFvQ2lOR2pPQ05OOTRnUFQy | |
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|
910 | OXlEVDc5KzluNk5DaFZLeFlrV0hEaG5IZ3dBSGpYRXBLQ2lOSGpxUjA2ZEwwCjdObVRyS3dzdjJz | |
|
|
911 | UEhUckV5SkVqaVl1TFkvRGd3ZXpkdTdmWXVxU21wdkxtbTI5U3QyNWRvcU9qZWZiWlo0MXovLzN2 | |
|
|
912 | ZjJuZnZqMTEKNjlibC9mZmY5eHVwRitUQ2hRdTg5dHByVkt0V2pWNjlldkhqano4YTUxNSsrV1Y2 | |
|
|
913 | OSs3TlUwODlSWmt5WlpnMWExYWg2NituUFFXdgpmZUNCQnhneFlvUmhzdmFaeCtmUG4wK2RPblZv | |
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|
914 | Mzc0OUFPdldyYU52Mzc1VXFsU0pjZVBHa1pxYWF1UjMrdlJweG84ZlQ5V3FWWG5vCm9ZZll1SEZq | |
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|
915 | c1gxM0taTW1UU0loSVlHd3NERHExYXRuMUxQZ0cvbjk5OTlQU0VpSThXY3ltZmowMDAvL2NOa3Vs | |
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|
916 | NHN2dnZpQ2R1M2EKRVI0ZVRvc1dMWEE2blFCczI3YU5RWU1HRVI4Zno0c3Z2c2p2di85dVhLZXFL | |
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|
917 | b2NQSHphK0Y2eGJjbkl5NWN1WDU0TVBQcUJ5NWNvMAphOWFNcFV1WEF2REJCeDh3Wjg0Y0prK2VU | |
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|
918 | RWhJQ04yNmRidXFQdG01Y3lkUFB2a2tGU3RXNUxubm51UDQ4ZVBHdVdQSGp2SDQ0NDlUCnVuUnBC | |
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|
919 | ZzhlWEVnNHZ2dnVPeG8zYmt5TkdqV1lOMitlWDkwOUhnL3o1czJqVFpzMkpDUWtNR1BHREZ3dTEx | |
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|
920 | WFZDV0QxNnRYMDY5ZVAKeU1oSWF0ZXV6UysvL0FMQXFWT25lT0dGRjRpUGorZVJSeDR4amhmSDVl | |
|
|
921 | NTlJUVJMbGl5aGUvZnVoSWVIMDZoUkkwNmVQQW5BaVJNbgpHRGR1SEZXclZxVjA2ZEpNbWpRSktE | |
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|
922 | eDZTMDVPcGtLRkNzYjMrUGg0cGsyYlJ0T21UUWtQRCtmUW9VTi8rQjVYVlpYWnMyZVRrSkJBCjFh | |
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|
923 | cFZlZXV0dDY2cWI5TFMwcGd5WlFxMWE5Zm12dnZ1WS9ueTVjWDJ5KzF5Zjk3V0NNa2ZKajQrWHF4 | |
|
|
924 | Y3VWTDA2TkZEdlBEQ0MwSUkKSVQ3ODhFT1JsSlJrcEltTGl4T3Z2dnFxU0UxTkZSTW5UaFR4OGZI | |
|
|
925 | R3VaNDllNHArL2ZxSjA2ZFBpNWt6WjRxZ29DRFJ2MzkvSVlRUQpIbzlIeE1URWlFOCsrVVJrWkdT | |
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|
926 | SVdiTm1pZkxseXhkYmw2NWR1NHIrL2Z1TEF3Y09pTnpjWExGdTNUb2hoQkNyVnEwU0ZTdFdGQ3RX | |
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|
927 | CnJCRDc5KzhYYmR1MkZXUEhqaFZDQ0hIa3lCR2hLSXJ3ZXIxQ0NDRUdEQmdnSG56d1FYSGl4QW14 | |
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|
928 | WU1FQ0VSa1pLWTRjT1NLRUVHTHMKMkxIQ1lyR0lxVk9uQ29mRElSd09oNWc0Y2FMbzBxWExuOUtl | |
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|
929 | bmoxN2lnRURCb2pUcDArTHp6NzdUQVFIQnh2WCt1clp2WHQzY2VqUQpJZUYwT3NXT0hUdEUrZkxs | |
|
|
930 | eFlvVks4U0ZDeGZFczg4K0svcjA2V1BrMTZCQkF6Rmh3Z1NSbHBZbXZ2bm1HeEVSRVNFeU16T3Yr | |
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|
931 | SnZ1CjNyMWIxS2hSUTV3NmRVb0lJY1N2di80cVRwOCtMWVFRWXRDZ1FlTEZGMThzZE0xMzMzMG55 | |
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|
932 | cFVySjA2ZVBGbHMyVmxaV1VJSUlXYlAKbmkzcTFhdG5YUHZtbTIrS3hvMGJpeDkvL0ZGNHZWNnhZ | |
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|
933 | Y01Ha1p1Yks3S3pzMFZ3Y0xENDhNTVB4Ymx6NThUUW9VTkZxMWF0ak9zVQpSUkdIRGgweXZoZXMy | |
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|
934 | K3JWcTRYRlloRlBQZldVT0hmdW5Qand3dy85K3JxNGRoUkhhbXFxaUlpSUVJc1hMeGJwNmVsaXdv | |
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|
935 | UUpvbW5UCnBzYjVoZzBiaXVlZWUwNmtwS1NJMTE5L1hWaXRWaVAvWGJ0Mmllam9hUEhOTjkrSXc0 | |
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|
936 | Y1BpeTVkdWdoVlZZMjZ2LzMyMjZKTm16WmkKOSs3ZDR1REJneUlwS1VsODhNRUhSdDdoNGVGaS9m | |
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|
937 | cjFSZFpyMjdadElpWW1Sc3laTTBlNFhDNXg4T0JCY2V6WU1TR0VFQzFidGhUUApQUE9NT0hmdW5K | |
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|
938 | Z3hZNFlJRFEwVk9UazV4YmJ4Y3ZmK3dvVUxSYlZxMWNTU0pVdUUxK3NWTzNic0VPZlBueGRDQ0ZH | |
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|
939 | dlhqMHhmUGh3CmNlclVLWkdabVNrMmJ0eFlaQit2WHIzYTd6ZUlqNDhYdFdyVkVtdldyQkZPcC9P | |
|
|
940 | YTduRkZVVVNiTm0zRXZuMzd4TmF0VzBWSVNJZzQKZVBEZ0Zmdm1nUWNlRUVPSERoVm56cHdSYTlh | |
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|
941 | c0VXWExsaFVIRGh3b3NsOXVoL3Z6ZGtlSzd6VVFIeDh2ZnZqaEI3Rjc5MjRSRmhZbQpVbEpTL01S | |
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|
942 | MzI3WnRva3laTW43WGxDdFhUdnp5eXkvQzdYYUxzTEF3dnh1MFJZc1dodUFzWDc1Y3RHL2YzdS9h | |
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|
943 | aElRRXNXblRwa0wxCnVIanhvZ2dNREJTcHFhbUZ6ZzBkT2xTTUhqM2ErTDVpeFFyajRWOVFmRDBl | |
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|
944 | ajRpS2loSy8vZmFia2JadjM3N2l6VGZmRkVMbzRsdTUKY3VWaSsrSjYybk9sYTMzMVhMTm1qWEYr | |
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|
945 | ekpneDR0Ly8vcmZ4UFRVMVZVUkhSd3VQeHlQMjc5OHZhdFNvNFZkVzkrN2R4Yng1ODRxdAp2NDhk | |
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|
946 | TzNhSXVMZzRrWnljYkx5VStCZzBhSkR4a3VYanQ5OStFekV4TVlaQS9OR3lHemR1TEJZdFdsVG8r | |
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|
947 | TUtGQzhVOTk5eGpmTS9PCnp2YjdqWXQ2dVBucXRucjFhbUV5bVVSS1Nvb1FRdjl0Z29PRHhhKy8v | |
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|
948 | bHBzT3k3SEJ4OThJQVlQSG14ODk3MUluVDE3VnB3NWMwYlkKN1hiaGNEaU04eFVxVkRBZW5xKzk5 | |
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|
949 | cHJ4T3dvaHhBOC8vT0JYOTZaTm0vcUo2NkpGaTBTblRwMnVxbDRqUjQ0VXc0WU5LM1E4SlNWRgpC | |
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|
950 | QVFFR0M4OFFnalJyRmt6c1hEaHdpTHp1ZEs5LytDREQ0cTMzbnFyMEhWNzkrNFZrWkdSaGU0VElR | |
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|
951 | cjNjVkhpKzhvcnJ4amYvK2c5CkxvUitEeXhZc01BNDM3RmpSL0hlZSs4SklZcnZtNHlNREZHbVRC | |
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|
952 | bS9GNUYvL3ZPZll2TGt5VVYxelcxeGY5N3VTTFB6ZFZDN2RtMjYKZE9uQ3BFbVQvQnhOMXE5Zno5 | |
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|
953 | MTMzKzJYdGxHalJxeGR1NVo5Ky9haGFScVZLMWMyempWbzBNRDR2SExsU3RhdVhVdEVSSVR4ZC9E | |
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|
954 | ZwpRZGFzV1ZPby9QWHIxeE1YRjBkVVZGU2hjei85OUJNTkd6WTB2amRzMkpCZHUzYVJtWm5wbDI3 | |
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|
955 | ZnZuM2s1dVpTdlhwMXY3UnIxNjQxCnZqZHAwcVRZUHJpZTloUjFiY09HRFF2Tkd4WXNmK1hLbFV5 | |
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|
956 | Y09OSElxMnJWcXVUazVMQjE2MVpXcmx6SmtTTkgvTXI2NFljZi9OcFMKSFBYcTFlUGYvLzQzbzBh | |
|
|
957 | Tm9seTVjcnowMGt2Rm11blQwOVBwMXEwYi8vNzN2Mm5hdEtsUnI2c3RPenM3bXkxYnR0Q3NXYk5D | |
|
|
958 | NTM3Ngo2U2UvZXljd01KQnExYXJ4MDA4L1hiRU5BR1hLbENFNk9ob0FzOWxNZEhRMHAwNmRNczcv | |
|
|
959 | RVllb2xTdFhNbnYyYktNOTBkSFJaR2RuCnMyYk5Halp0MmtUVnFsV3gyKzFHK29MMTNyUnBrOTk5 | |
|
|
960 | VVBCY2RuWTJHelpzb0hQbnprYmVnd1lOdXVvMkppY25GOWwzUC8vOE01VXIKVnlZb0tNZzQxcWhS | |
|
|
961 | STlhdFd3Zm8vMTU5MHdYcjE2OHY5dDczcFMrdW5OV3JWOU9rU1JOVTlkb2VuMFg5ZTdxYWUzemJ0 | |
|
|
962 | bTFHbW9TRQpCT056bVRKbEROTnZjWFZldDI0ZEtTa3BsQzFiMXNoM3hvd1pSbHNMY3J2Y243YzdV | |
|
|
963 | bnl2azNIanh2SGhoeC82M1VETm1qWHorNGNDCnNIWHJWbHEwYUVITm1qVlJWWlZEaHc0WjV3cW1i | |
|
|
964 | ZE9tRFVsSlNhU2xwUmwvbVptWlBQZmNjNFhLYnRxMEtjZU9IZVA4K2ZPRnpqVnIKMW93dFc3WVkz | |
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|
965 | N2RzMlVMZHVuVUpDUW54UzFlelprMXNOaHUvL2ZhYlg5cVdMVnNhMzAwbVU3SHR2NTcyK0s0dE9F | |
|
|
966 | ZTBkZXZXUXY4QQp6V2F6WDM0dnZQQ0NYMzdaMmRrMGJ0eVlObTNhVUtWS0ZiOXpHUmtaVEowNnRk | |
|
|
967 | ajZGNlJ2Mzc1czJMQ0JuMy8rbWVYTGwvUEpKNThVClNxTnBHbjM2OUtGdDI3WTg5dGhqZnZXNjJy | |
|
|
968 | S0Rnb0pJVEV3czhzSFhyRmt6dG03ZGFuelB6czdtd0lFRGhzaVhMVnVXTTJmT0dPZTMKYmR0MjFR | |
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|
969 | OHNrOG4waDVhWHRXblRoZ0VEQnZpMUtTc3JpMTY5ZXBHWW1NakJnd2R4T0J4K2RmSFJ1SEZqdi9u | |
|
|
970 | V2d1ZUNnb0pvMHFRSgp5NVl0TS9LOWVQRWlhV2xwVjFXdjFxMWJGOWwzZi92YjN6aDgrRERaMmRu | |
|
|
971 | R3NjMmJOOU9pUlFzQTl1elpRMlptSnBtWm1UUnIxcXpZCmU5K1h2cmh5MnJScHc2Wk5tNHAwUGl4 | |
|
|
972 | WHJoeG56NTQxdmhjMTUxendmaTdxV0hIM2VHSmlZcEg5VVpEaTZuelBQZmRRcWxRcHpwNDkKNjNk | |
|
|
973 | L2Z2MzExNFhTM2k3MzUrMk9GTi9ycEVxVktqejAwRU4rbnM4TkdqVEFhclV5Y2VKRVVsTlRtVHg1 | |
|
|
974 | TW1hem1ZU0VCQ3dXQyszYQp0V1BjdUhHY09YT0d6ei8vbk8zYnR4dlh0bXZYamwyN2R2SHBwNStT | |
|
|
975 | bHBhRzAra2tPVG5aVDl4OWhJZUgwNzU5ZTRZUEg4N0Jnd2R4Ck9wM0dHMmkzYnQzNDRvc3ZXTFZx | |
|
|
976 | RlFjUEh1VDExMS9uZ1FjZUtKU0gyV3ltYytmT2pCMDdsbE9uVHJGNDhXSysvLzU3dW5mdmZsWHQK | |
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|
977 | djU3MitLNGRQMzQ4WjgrZVpjNmNPWDdYRmtYLy92MlpQbjA2eTVjdngrVnlrWjZlenZ6NTh3R29V | |
|
|
978 | YU1Hd2NIQnZQSEdHNXc1Y3dhMwoyODNtelp2NTlkZGZBWmc1Y3lhVktsVXFNdDh0Vzdhd2NlTkcz | |
|
|
979 | RzQzQVFFQm1NMW00MFdsNEVqOCtlZWZKeWNuaHlsVHB2aGRmNld5CkwrWGhoeDltOHVUSnJGdTNE | |
|
|
980 | cS9YeTRZTkczQzVYTFJ2MzU0OWUvYnc4Y2NmYys3Y09WNTQ0UVVTRXhNTjYwYmJ0bTM1NUpOUHVI | |
|
|
981 | angKSWpObXpDZzIvNkpvMkxBaE8zZnU5SE9NR2pSb0VJODg4a2lSNlI5NjZDRVdMbHpJNHNXTHlj | |
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|
982 | N09KanM3bTIrLy9aYXNyQ3hLbHk1Tgo3ZHExR1R0MkxDa3BLYno1NXB0K290T3BVeWUrLy81N2xp | |
|
|
983 | NWR5dEdqUnd1OWhQVHYzNStYWG5xSmJkdTJvV2thcDA2ZHVxd0QwS1Y5Ck4yL2VQT2JObTRmTDVl | |
|
|
984 | TGd3WU1jUDM2YzZPaG9FaE1UR1RObURPZk9uV1BtekpuczJiT0hqaDA3RnBuUGxlNzloeDkrbU9u | |
|
|
985 | VHA3TjAKNlZJOEhnODdkKzdrd29VTDFLeFprL0xseXpOcTFDaCsvLzEzTWpNejJiUnBFNkQvUGl0 | |
|
|
986 | V3JPREFnUU5zMmJLbFNBZkZLM0c1ZTd3bwpoRDU5ZU5tK0NROFBwM256NW93Wk00Wmp4NDdoOVhy | |
|
|
987 | WnZYdTMzd3Y2cFgxOEs5eWZkekpTZlA4RWZDYktnbTk0MzMvL1BhZE9uYUpCCmd3YWNPSEdDNzcv | |
|
|
988 | LzNqZzNiZG8wWW1KaVNFaElZTkdpUlR6MTFGUEdPWlBKUkhKeU1yLzk5aHNOR3pha1lzV0svT2Mv | |
|
|
989 | L3luMmpYREcKakJuVXFWT0hMbDI2VUtGQ0JlYk5td2RBVWxJU2I3MzFGaE1tVEtCNzkrNTA2OWFO | |
|
|
990 | Ly8zZi96V3VLMWpYTjk5OGsvcjE2OU9xVlNzKwovZlJUNXMrZlQzeDh2Skh1MGpmWENSTW0wS2xU | |
|
|
991 | cHorbFBkT21UU01xS29yNjlldnoxVmRmMGJkdlg4TEN3b3FzSjBDdFdyV1lOV3NXCjgrYk5vM3o1 | |
|
|
992 | OHRTdFc1ZGx5NVlaNXhjdlhvemI3YVp0MjdhVUtWT0cwYU5IRzE2MEowNmNvSG56NWtYMlkwWkdC | |
|
|
993 | bzgvL2ppUmtaRzAKYnQyYXhvMGIwNjlmdjBKOU1IZnVYRFp1M0VoRVJJUmh3dnppaXkrdVdQYnMy | |
|
|
994 | Yk9wVTZlT1VkNlFJVU40K3VtbmVmNzU1NG1LaW1MMAo2TkZvbWtaUVVCQ3JWcTNpeHg5L0pERXhr | |
|
|
995 | WUNBQUdiUG5tMWNOMnJVS0M1ZXZFak5talhadG0wYkR6LzhzRjg3TGpmSzZOcTFLNnFxClVxNWNP | |
|
|
996 | WHIwNkhIRlBna1BEMmZac21Xc1hyMmE2dFdyVTYxYU5jT3pHMkQrL1BsY3VIQ0JPblhxOE91dnYv | |
|
|
997 | TFFRdzhaNStyVXFjUEgKSDMvTTJMRmo2ZGl4bytHOUdob2FDc0Rnd1lONTlORkhlZW1sbDRpTWpL | |
|
|
998 | UjkrL2JzMzcvZnVONW5HaTZLaElRRVpzK2V6Y0tGQzRtSgppYUZIang3R3FIbjI3TmtFQmdhU21K | |
|
|
999 | aEljbkl5UC96d0F3RUJBY1gyeWVYdS9hNWR1L0xhYTYveHpqdnZFQlVWeGVEQmd3MlAzeVZMCmxo | |
|
|
1000 | QVFFRURUcGsycFhyMDZ5Y25KQURSdjNweCsvZnJSdG0xYmhnMGJ4dE5QUDMzRmtkOGZ2Y2N2VFYv | |
|
|
1001 | dy9yeGMzN3ovL3Z2RXhjWFIKcTFjdlNwVXF4ZU9QUDA1R1JrYVJkYnBWN3M4N0dVVmNPc0Vta2R4 | |
|
|
1002 | RUVoTVRHVDE2OUEzNXg5ZXhZMGVtVHAxS2pSbzEvdlM4YjBkYwpMaGNOR2pSZzU4NmRsNTFhK0RQ | |
|
|
1003 | NDl0dHZHVFZxRkx0MjdicWg1VWdrdHd0eTVDdTVxV3pac29WRGh3NlJuWjNOZSsrOXg2NWR1Mmpi | |
|
|
1004 | CnR1ME5LV3Zac21WU2VBdGd0VnJaczJmUERSUGVSWXNXa1p1Ynk3WnQyM2pqalRlS05mOUtKSDlG | |
|
|
1005 | cFBoS2JpcG56cHloZGV2V2xDMWIKbG5YcjFyRnMyVEkvczdQazl1V0REejRnSmlhR3ZuMzcwcVZM | |
|
|
1006 | RjU1Ly92bWJYU1dKNUpaQm1wMGxFb2xFSWlsaHJtdmsrK2lqanhJYgpHMHZkdW5XTFRUTjY5R2dx | |
|
|
1007 | VjY1TXc0WU4vNURubTBRaWtVZ2tkeXJYSmI2UFBQS0lueGZ2cFd6YXRJbTFhOWV5WmNzV1Jvd1l3 | |
|
|
1008 | WWdSCkk2Nm5PSWxFSXBGSTdnaXVTM3hidEdoQlJFUkVzZWMzYnR4SXIxNjlpSXlNcEhmdjN1emJ0 | |
|
|
1009 | Kzk2aXBOSUpCS0o1STdnaGpwY2JkcTAKaVZxMWFobmZTNVVxNVJjSlNTS1JTQ1NTdnlLRjQ1ejlp | |
|
|
1010 | UlNNdk9LanFFWFdmNlY0bmhLSlJDSzVzN2dXditVYk92SnQwcVJKb2IxYgpDd2JSTDRoUHFQOUtm | |
|
|
1011 | MlBIanIzcGRaRHRsdTJXYlpidGx1Mis5cjlyNVlhTDc0SUZDemgvL2p4ejVzemhycnZ1dXBIRlNT | |
|
|
1012 | UVNpVVJ5ClczQmRadWZldlh2ejQ0OC9rcHFhU29VS0ZSZzNiaHh1dHh1QUo1NTRnc2FORzlPOGVY | |
|
|
1013 | TWFOV3BFWkdRa24zLysrWjlTYVlsRUlwRkkKYm1ldVMzeDlBZVV2eDZSSms1ZzBhZEwxRkhQSGtw | |
|
|
1014 | U1VkTE9yY0ZPUTdmN3I4RmRzTThoMlM2N01MUkhoU2xHVTY3S2RTeVFTaVVSeQpNN2hXL1pLeG5T | |
|
|
1015 | VVNpVVFpS1dHaytFb2tFb2xFVXNKSThaVklKQktKcElTUjRpdVJTQ1FTU1FranhWY2lrVWdra2hK | |
|
|
1016 | R2lxOUVJcEZJCkpDV01GRitKUkNLUlNFb1lLYjRTaVVRaWtaUXdVbndsRW9sRUlpbGhwUGhLSkJL | |
|
|
1017 | SlJGTENTUEdWU0NRU2lhU0VrZUlya1Vna0Vra0oKSThWWElwRklKSklTUm9xdlJDS1JTQ1FsakJS | |
|
|
1018 | ZmlVUWlrVWhLR0NtK0VvbEVJcEdVTUZKOEpSS0pSQ0lwWWFUNFNpUVNpVVJTd2tqeApsVWdrRW9t | |
|
|
1019 | a2hKSGlLNUZJSkJKSkNTUEZWeUtSU0NTU0VrYUtyMFFpa1Vna0pZd1VYNGxFSXBGSVNoanp6YTZB | |
|
|
1020 | UkNMNWEzRHMyREYyCjdOaEJabVltQVFFQlZLeFlrYnZ2dmh0VmxXTUF5VjhQUlFnaGJub2xGSVZi | |
|
|
1021 | b0JvU2llUlBSdE0wa3BPVCtXcmVSeHc4c0lsN0dxcUUKQm50eHVsUjIvNnFRNjRtbDE5K2ZvR3Uz | |
|
|
1022 | N2dRSEI5L3M2a29rZjVocjFTOHB2aEtKNUlhUW01dkwySmRHY09Md1V2cjNVbWpUSWdTcgpOWCtV | |
|
|
1023 | SzRSZzV4NEhjNy9PNWJjakZYajcvejZqUW9VS043SEdFc2tmNTFyMVM5cDdKSkk3bEtTa0pGUlZw | |
|
|
1024 | VktsU2lWZXR0ZnJaY3pvCllRam5kM3c4SlpSNzI0YjVDUy9vRDYzNmRRS1orSHdFZmJxZTRxa25I | |
|
|
1025 | dVRjdVhQRjVoa2ZINCtxcXJSdTNmcEdWMThpdWVGSThaVkkKN25BVVJTbnhNcitjK3dWWkYxYnc2 | |
|
|
1026 | cWh3YkxZclAyWjZkUTJqeDcwcGpCczd2TmcwaXFJWWZ4TEo3WTRVWDRsRVVnaUh3M0hOVTBHYQpw | |
|
|
1027 | akh2eS9kNStoRWJGc3ZWQzJYL3Y0ZHg4TUJHamh3NVV1VDVJMGVPNFBWNldiVnExVFhWU3lLNWxa | |
|
|
1028 | RGlLNUg4QmRpOWV6ZnQyclVqClBEeWN4TVJFbGk5ZmJweFRWUlZWVlhua2tVZjQ2S09QU0VoSUlE | |
|
|
1029 | UTBsTXpNVE9QYUJ4NTRnUGo0ZUVKQ1FraE1UR1R5NU1sNHZWNEEKUEI0UHdjSEJxS3JLLy96UC83 | |
|
|
1030 | Qng0MGFDN09mbzFQc2dhc3hXWHB4NEN0RG5lQ09xYmtlTjJjcVRJNDRCOFBMazMxRmp0cUxHYkdY | |
|
|
1031 | SApuaHpPcDU2bVhyMjYzSGZmZlh6Ly9mZCtiU2pLN1B6eHh4L1Rva1VMU3BjdWpjMW1vMnpac3JS | |
|
|
1032 | cDA0WVZLMWI0WFZ2UUJMOTE2MVphCnQyNU5kSFEwZ3djUFpzK2VQWDkraDBza1YwTGNBdHdpMVpC | |
|
|
1033 | STdpaGF0V29sRkVVUm9hR2hJakl5VWlpS1l2eFpMQmF4YTljdUlZUXcKanNYR3hocWZWVlVWNmVu | |
|
|
1034 | cFl2WHExY0ppc2ZnZDkzM3UyTEdqVVZhN2R1MkVvaWppYjMvN20zaHQwamp4MXZnS1FsRVFpb0pv | |
|
|
1035 | MnpKRQppSlNHWXZmYVdrSlJFS3FLbURPOWtoQXBEY1hZL3kxanBJdUtOQWxGUVFCR0dYdjM3alhL | |
|
|
1036 | aUl1TEU0cWlpTmF0V3h2SEhucm9JYU5lCnZqL2Y5L1hyMXhmcWk4REFRQkVZR09qWEY3R3hzU1h3 | |
|
|
1037 | YTBqdVZLNVZ2K1RJVnlLNXc4bk16S1J6NTg0Y1BueVl0OTU2QzlCSHF3c1cKTFBCTGQrN2NPWjU0 | |
|
|
1038 | NGdtT0hUdkd2bjM3Q0F3TTVNa25uOFRqOFJBWUdNZ25uM3pDdm4zN3VPKysrd0JZdm53NTgrYk5B | |
|
|
1039 | NkJGaXhZQQpiTisrbmZPcHYzTTJ4UVdBb3NEbVg3TFJOTUg2VFZsR1dmYzBEdUpTcTNiNXNsWldM | |
|
|
1040 | NnBPbmRybGpXT1hqbUF2NVlrbm5tREhqaDJrCnBhV1JsWlhGcGsyYmlJcUtRZ2pCMjIrL1hTaTl3 | |
|
|
1041 | K0dnVTZkT0hEbHloQmRmZkJHQWxKUVVkdTdjZWNWK2xFaitUS1Q0U2lSM09JcWkKTUdIQ0JPTGo0 | |
|
|
1042 | eGsyYkJqeDhmRUFMRm15eEM5ZFdGZ1kwNlpObzBLRkNsU3ZYcDNVMUZUMjc5OFBRUFBtelJrNGND | |
|
|
1043 | RFZxMWZuK2VlZgpONjVKVGs0R29HWExsZ0M0WEM1U1VpK3k5emNuQVBkM0RDTXpTMlA3SGdmcjhz | |
|
|
1044 | UTN2b0tWY21Xc2VDOVIzMmNmaXlHaGJpQ2xvc09JCmpJd0VZUFhxMVpkdFcvbnk1WG50dGRlb1Y2 | |
|
|
1045 | K2VZVkkvZi80OEFJY09IU3F5THlaTm1rUmNYQndQUHZnZ29KdkRyMVNPUlBKbmMxM2kKdTJiTkd1 | |
|
|
1046 | NjY2eTZxVmF2Ry8vM2YveFU2NzNBNEdEaHdJQTBhTktCVnExWjgvZlhYMTFPY1JDSzVCc0xEd3ls | |
|
|
1047 | ZlBuODBXYTllUFVBZgpwVG9jRHVONGl4WXQvRHlKang4L2JueXVYNzkrb2VzQlRwdzRBVURqeG8w | |
|
|
1048 | eG0vV0FlV2tYSGV6WTR5QXEwc3lBaDZJQitHbHpGaHUzClpBUFEvRzk2TUEwaHdDZS9pZ0xOR2dk | |
|
|
1049 | ejlIZ3VwVXJGRUJnWUNFQjZldnBsMnpaczJERG16Sm5EOGVQSDhYZzhmdlcvY09GQ29mU2wKU3BX | |
|
|
1050 | aVNwVXFBQVFFQkJqSHIxU09SUEpuYzEzaU8yellNS1pQbjg3S2xTdDU5OTEzU1UxTjlUcy9hOVlz | |
|
|
1051 | Z29LQytPV1hYL2owMDA4WgpQbnk0REtZaGtaUXdGeTllNU9USms4YjNIVHQyQUpDUWtPQW5RTkhS | |
|
|
1052 | MFg3WHhjWEZHWiszYjk5ZTZIcUFpaFVyQXJxUU5XelVDQ0VFCmFSY3pPWDdLUmVPN2cyamFLQWlB | |
|
|
1053 | NzFha2MrQndMZ0RObXVSSHNpcjRPQWdNVUZtMDFFM25MZ091S3VUa2dRTUhES2VzSVVPR2NQYnMK | |
|
|
1054 | V2J4ZUwxV3JWaTMyR3Arb0F6S3NwZVNtY3MxM24rOU5zV1hMbHNURnhkR2hRd2MyYnR6b2x5WXNM | |
|
|
1055 | SXpNekV6Y2JqY1hMbHdnTURCUQpydEdUU0VvWUlRUXZ2UEFDUjQ4ZVpjcVVLUnc3cG5zYWQrM2E5 | |
|
|
1056 | YkxYeGNiR1VxTkdEUURXcjEvUFo1OTl4djc5KzVrNGNhS1Jwbm5MCmx1UjZCQTRQTkd1dW01N1hy | |
|
|
1057 | VjJERUJBYmJTWXkya3lsaWxhV3Jjb0E5Qkd1YitSN0tSbFpYcEkzcUhUdDF2MnEycFdXbG1aOERn | |
|
|
1058 | b0sKUWdqQmYvN3pIdzRlUEhoVjEwc2tONU5yRnQvTm16ZFRzMlpONDN1dFdyWDQrZWVmL2RMMDd0 | |
|
|
1059 | MGJyOWRMZEhRMHpaczNaL2JzMmRkZQpVNGxFY2syRWhJU3daTWtTS2xldXpQRGhlaEFMczlsTWp4 | |
|
|
1060 | NDlybmp0dEduVE1Kdk41T1RrTUhEZ1FHcldyTWwzMzMwSFFPdTI3ZWplCjQwRVVCZXhtU0dyWkhO | |
|
|
1061 | RFgrU3FLd3A3OU5sSlNQVFJwbE85Y1ZUckdRcFZLOWtMT1ZrTEEyeDlrMGJsTFg4TER3d3NjTDJ3 | |
|
|
1062 | cDh4MXIKM0xpeDhYTHcrdXV2RXhzYnkvang0NDBRbGRMS0pybVZ1YUc3R3IzenpqdVl6V1pPbno3 | |
|
|
1063 | TnJsMjc2Tnk1TThlT0hTdlMzUFB5eXk4YgpuNU9Ta2toS1NycVJWWk5JN25oODBhQ2lvcUpZc21R | |
|
|
1064 | Snc0WU5ZOXUyYlZTcFVvVUpFeVpRcDA0ZHY3UkYwYnAxYTdaczJjS0xMNzNFCmp1M2J1WERoQWxX | |
|
|
1065 | clZhZFhyMTZNR0RFQ2l6bi8ydWJObTZPcUtrSUlUQ1lUZlI5NW5pZi85dzBhMWJYbmxaRnZjaGJB | |
|
|
1066 | cFNWbWV4dngKN0xCUmZuVXZXSytpanMyZE81ZXBVNmV5Wk1rU2F0V3F4YVJKa3hnOWVqUW5UcHdv | |
|
|
1067 | OHRyaStra2l1VnFTazVNTlI4UHI0Wm8zVmtoUApUeWNwS1lsZmZ2a0ZnR2VmZlpaNzc3Mlh6cDA3 | |
|
|
1068 | RzJrZWZQQkIvdkdQZjlDeFkwY0FtalJwd3F4WnMveEd6Q0EzVnBCSWJqV0VFR2dDClBCcDRoUzZV | |
|
|
1069 | SmhWTUNxaEswWUtsQ1hDNk5YSmNHaVpWSVR2WHczOFhmY1dYbjd4Q1VsTXZQVHBicVZVakFDM3Zu | |
|
|
1070 | M3JxZVRmL1hack4Kb3U4VjZqVG96UE12VHNKbXN4TmdBWk1xQlZGeWUzQlRkalZxMEtBQmI3LzlO | |
|
|
1071 | aFVyVnVUZWUrOWwzYnAxZms0YjA2ZFBaOWV1WFV5ZApPcFdqUjQvU3NXTkhEaHc0OEtkVlhpS1Iv | |
|
|
1072 | SGxjaStENjhHcmc5R2c0WFJxS0FsbTVIcHh1amRLaE5ySXowMW0wZUNIZkxQb0l0eXVWCjRDQVR6 | |
|
|
1073 | bHhCVm82SnBIYTk2Tkt0RHhVclZjR2tRckROakNZVUtjQ1MyNGFiSXI0Ly92Z2pUejc1Skc2M202 | |
|
|
1074 | RkRoekowNkZDbVQ1OE8KNkl2ZjA5UFRlZW1sbDFpN2RpMmxTcFZpMkxCaGRPclU2VStydkVRaXVU | |
|
|
1075 | NnVSM0QxNi9WcjNSNE5wMGNESU5QcElkZWpFUmxrSWRCcQp4bWFHODFrZXJDWTRlKzRzcDFQU3NR | |
|
|
1076 | ZllLVk02aHVCQWZTU3NhUnFhZ0dDYml0bGt3cXNoQlZoeVd5RDM4NVZJSkZlRlQzQzllY0lKCllQ | |
|
|
1077 | NERndXRERStEMmdsZlRjTG8xQkpEaGNPUDJDa0x0SnNJQ3JKaFVBRUdHVThObVZqRXJHbWN6UFFB | |
|
|
1078 | RVdGV3NaaFdQcHRmSm0yZVAKamdveTQ5VVV2RUlLc09UV1IrN25LNUZJaXNVbmJpNnZ2aXdvVjk4 | |
|
|
1079 | VEFac0pBc3hnTlNtWTFLdmZycytyZ2F1ZzhBcEl6OUdGTjlobQpJakxJQ29ERkJMa2VnYXFRNTRp | |
|
|
1080 | Vi84aFIwQjljUHNIM2FXeUcwNHZOTERBcDRIQmppTEpFY2lkeFE3MmRKUkxKemFPNEVhN045TWRH | |
|
|
1081 | CnVQNTU2bm41VE1XNUhvRlhDTkp6M0dnQ0FxMHFzYUZXY2oxZ3pmT0V6dlZvV0V3cXFxSlFWSkUy | |
|
|
1082 | c3k2eWlxS0FFTGk5QW9kYkVHaFYKY0xyQjZZWUFpMENWSTJESkhZUVVYNG5rRHFLZzRIbzFmVW1Q | |
|
|
1083 | U2JrK3dmWGhNek9EUG9yTzlRamNYbzEwaHhzaElNQ2lVamJjaHR1agpsMlZTOUZHclJ3T2JXY0Zp | |
|
|
1084 | QXJYZzhwOENueFFFNUkxK05TSElkSHF4VzFUc0ZsMThIVktBSlhjWTB1d3NrZHptRkRRcE8vTk15 | |
|
|
1085 | a0tBCk5jK2tiRFAvTVpOeVVmak16S3FpajB4elBRS1hSeU05UnhkZXUwV2xYTGdOa1NmOCthTmUz | |
|
|
1086 | WHdNWURIbm01WUJOSFRuTHErQVFLdCsKUXNtYmR4WkF1a09mRzdaYjlHTU9OMmpTQkMyNVE1RGlL | |
|
|
1087 | NUhjaHBTRTRPcmw2S05kandZV1ZlQjBhN2k5QXFmYnE0OTRBYXRab1Z5NApEVVVCbDBjM2JmdEd1 | |
|
|
1088 | TGtlTGM5aFN1U1puUlcvdk0ycWtsZnYvT1A1MStybEtZcUMzYUlMc3hSZ3laMkNGRitKNURhaHBB | |
|
|
1089 | UTN2enpkCjFDd0FzeXJJZG1sNE5NaHhlY2gwNnFOU2kwbWhmTGdkazZvWTg4b1dVMzU5WFI1ZGRB | |
|
|
1090 | dWFtMzJqWDAwSXpIbGZkTTltdmU0aUwxL1EKbmE4MFRhQW8rdHBmUTREbDZnakpiWTZjODVWSWJt | |
|
|
1091 | R0VFQWp5MXVFV21NTzFtUFQvMzhqUWlJcWl2NTJyaXI1VVNCT1E1ZlRnMENkKwpNYXNLNVNOc21F | |
|
|
1092 | MEttaEM0dmZubVpnQ1hWNis3cXVRTE11Z2pXMDJJdkpHdmZzeWpRYUJGTmZJR2ZVNVlFN29BaHdl | |
|
|
1093 | YTh3Ulk0SENECnd3VUJWdUVuNm5jaVI0NGNZZmE4ci9odTdYcXlzck93MmV3azFxM05vTC8zSkRF | |
|
|
1094 | eFVZYkd2STJSNjN3bGtsdU00Z1RYRi95aXBCKzQKUGlldTB4ZHp5WEhydzF1VHFsQWh3b1kxVHox | |
|
|
1095 | ejNmcS9YNXNsdjI0WlRpKzViZzI3eFVTUVZUR2NwVTZsNWVMMkNrd3FWSWkwazVYcgp4U3NnMUtZ | |
|
|
1096 | R3d4cEpBQUFnQUVsRVFWVHFjOFNxbnI4Q1pPZHFaT1Y2aVFneVk4c3JTd2hkZ0lXQUFDdDNwQUJu | |
|
|
1097 | WjJjei9NV3hyTnErCkc2MTFOd0tiZDhBVUZvSG1kSkN6L1dmVTVmT0pOd3Vtdno2SlNwVXEzZXpx | |
|
|
1098 | L3FXUlFUWWtrdHVZVzAxd2k2cWZ4eXM0bnVZRUFlVWoKN1lZWWVqU0J5K056ak1xdlowcVdHMVZS | |
|
|
1099 | c0pwVWdtMzU1dkRURjNQSjlRaHNGb1V5WWJZOHMzSitXUVhicWdtQnBzR0ZIRGVsZ2kzRwp1VHRa | |
|
|
1100 | Z0hOeWNuaDQ4SlBzTFg4WFlZK09RTEZZL003LzFpZUpyRTFyTUVlV29rNzlCTDc2WUJwVnFsUzVT | |
|
|
1101 | YldWeUNBYkVza3RnS1pwClY1MVdIMUhteitFNlBicVlXQXJNNFpyL3hEbmNxK0gxMTE5bjhlTEZo | |
|
|
1102 | WTRyaW9MSnBCQVhhYWRjaE4xdkZPcjJVR2daa1VjVGVEVXcKS1VxaGw0ZXdRRE1WbzJ6RWhsZ1JR | |
|
|
1103 | bDgrVk5TT1JhRG5xZWFOaERPZEJVelNCZWVBWFhmV0hQRExyNzNPbnRMVkNIdDhWQ0hoTFlnYQpH | |
|
|
1104 | RVIyMzJFODhzL244SHE5eGFhVDNKcEk4WlZJcmhNaEJGOS8vVFg5K3ZYajdydnZKanM3KzdMcHRi | |
|
|
1105 | eEFFcmVDNEJiVXJPSERoL1BkCmQ5L1JxbFVyLy9ybXZWQ29pdTdRWmJma1B6WjhVN1RtUzU0a3VS | |
|
|
1106 | N2ZOV0EyK2JjbHdLTG1pZXJWdFZNQjdHYVZiSmVHMjV2L2NuTW4KQ3ZENTgrZFp2Q3FaMElILzlC | |
|
|
1107 | dmxleldCNXNncGxENDBxUk5uUXFKWnMyWk5TVmRWY3AxSThaVklycFA3NzcrZk1XUEcwTGx6WjFh | |
|
|
1108 | dgpYazFRVUZDaE5EN0JkYmgxMGRWdThnZ1hkT0gxRlhuMjdGa09IRGpBWjU5OVJrUkVCTWVQSCtm | |
|
|
1109 | UW9VTzRYQzVVVlRVRStGS1RzRWZ6CmQ3THk0Y29MS2Frb0NxWkxuakpYMjA2ZktVOVJGR3g1Z244 | |
|
|
1110 | eHgrdG40cnNaQXB5VWxJU3FxbFNxVkluMTY5ZHp6ejMzRUIwZFRlL2UKdmNuSXlHRFhybDEwNk5D | |
|
|
1111 | QjJOaFloZzhmenRHalJ3SHdlcjBNR2pTSTJyVnJFeEVSUVVCQUFOV3JWK2Z4eHgvbjk5OS9CMkRo | |
|
|
1112 | NHE5eAoxYnliN1FsaGJLMnFjdlROc1J4K2V6eDdPdFppWi9NS1JkWkh0T3ZKVTBPSG9hb3FxcXJ5 | |
|
|
1113 | MWx0dkFlRHhlSGo5OWRkcDFLZ1JvYUdoCnhNWEYwYjE3ZC9iczJXTmMyNmxUSjFSVkpUNCszaS9Q | |
|
|
1114 | T1hQbUdQbjlHWHZYU29wQTNBTGNJdFdRU0s2SlYxOTlWVHp6ekRQR2Q3ZmIKN1hkZTB6VGhjR3ZD | |
|
|
1115 | NmRhRTI2c0pUZE5LdW9xRnVMUUtXVmxaNHI3NzdoTS8vUENEV0xod29YamdnUWZFd0lFRFJhTkdq | |
|
|
1116 | Y1R4NDhlTAp1RjRUSHE4bW5LN0NiZEUwVFp4T2Q0blVUTGZJY0hqL2NIczFUUk9yVnEwU2ZmdjI5 | |
|
|
1117 | Yy96WXE3NC9XS3V5SFI2aXJ3bU8xY1RXYm1hCjhON2cvbTNWcXBWUUZFVUVCd2VMNE9CZ29TaUs4 | |
|
|
1118 | ZGUwYVZOUnFsUXB2Mk9OR3pjV1FnamhjRGlFb2loQ1ZWWGp6NWVtVHAwNnd1UHgKaUw1RG5oVnhV | |
|
|
1119 | NzRRS0lwQVVZUWFGV3Q4Tm9WRmlJYUhoQWh1MGtxZ0tNSmFvWkpvZUVpSU1zKytKQUNocXFxWU1H | |
|
|
1120 | R0NVYzhPSFRvWQorUmNzeTJxMWl1VGtaQ0dFRUxObnp6Yk9iOXEweWJpMmUvZnVRbEVVVWJGaXhS | |
|
|
1121 | dmFsM2NDMTZwZmN1UXJrVnduZmZ2MlpjR0NCWXdaCk00WUJBd1l3ZmZwMDB0UFQvZExZVERkdmhG | |
|
|
1122 | c1FJZnhIdkI5KytDSHIxcTBqS0NpSWZ2MzZzWG56WmhZc1dNQ29VYU9ZT1hNbTdkdTMKWi9EZ3dl | |
|
|
1123 | VG01dnJsbytURmFiWVVzVmpSNWRWSG55YTE4SHp2cGFTbXBoWTZwaWdLdFd2WFp2bnk1WDc3ZjRm | |
|
|
1124 | WTlmVkttVTR2bmtzQwpiUmdqWUVwdUhYQjJkamE5ZS9mbXdJRURKQ1ltQXJCaHd3WnExS2pCdm4z | |
|
|
1125 | NzZOKy9Qd0RidG0wakxTME5xOVhLM0xsek9YcjBLRGs1Ck9adzVjNGJKa3ljRHNHZlBIdVl0L3Bi | |
|
|
1126 | ZkwyVGd0UVVZWldnWHpoSDJ4QmhxYlRoTnRibnIvRGVaRUlLVUx6N2c5RHZqQVJnelpneWoKUjQ4 | |
|
|
1127 | R1lPN2N1YXhZc1FMUVI3Zjc5dTFqNXN5WkJBUUU0SGE3ZWVxcHB3RG8xcTBiUVVGQkNDSDQ2cXV2 | |
|
|
1128 | QU1qS3ltTFpzbVVBOU83ZAorMFoxMzE4ZUtiNFN5WFVTSHg5UDY5YXR5YzdPWnVqUW9TeGZ2cHhY | |
|
|
1129 | WDMzVkVPQ2lISWx1Qmo0OThsVmx6cHc1dlAzMjI1UXBVd2FBCkJnMGFzR0xGQ3ZidTNZdkw1UUpn | |
|
|
1130 | M0xoeDFLeFpFN2ZiWFNnL2hhSzlqSDNMamxRRlRLYkx0L3Z2Zi84N2UvZnVCV0Q3OXUxTW56NmQK | |
|
|
1131 | QVFNRzBLdFhMK3gyT3lrcEtVYmFRS3RxQk9oSWQzZ0tlWmdha2JBb0dRRldGSVZ4NDhaUnBVb1Z2 | |
|
|
1132 | M255SVVPR1VLTkdEWHIwNkFIbwo1dWJWeVQvaTBSUThYc0ZERC9lbVlzV0t4TWJHTW5Ma1NPTzZ3 | |
|
|
1133 | NGNQRXhrU2pPTE1uOXUxVnExRi9QQlhzRWJGRUZEdExoeHVyL0U3CnVsUE9jSHpzRUFBaXlwWmov | |
|
|
1134 | UGp4eG5VK1U3R2lLTHp3d2d0VXIxNmRBUU1HMEt4Wk13QisrKzAzVWxKU0NBb0tvbnYzN2dDRytI | |
|
|
1135 | NzcKN2JjNG5VNFVSYUZmdjM1L2NxOUpmTWdnR3hMSk5hQUpZV3lKQi9vSU1qQXdFSURKa3ljemJ0 | |
|
|
1136 | dzRzckt5Q0FzTHU0bTF6S2ZnOGlXQQpyNy8rbXBkZWVvbVZLMWNTSHgvUHhZc1h1ZXV1dTNqdnZm | |
|
|
1137 | Y1lQWG8wdTNidDR2ang0NnhhdFFvaEJNSEJ3WDc1WFNwOEJZL25lclJpCjUzc3ZwVktsU25UcjFv | |
|
|
1138 | MXk1Y3FSbHBaR3RXclZhTkdpQlNOR2pLQmV2WHFBN3ZDbHFpcENDTUlDektUbGVIQjVCQTYzUnFE | |
|
|
1139 | VjVKZWYKbWhlSXc2c1YySXpoQnIzNHhNVEVFQnRiR285WFlMZnJ2NzJpS054Vk40SHNYQTFMUUlp | |
|
|
1140 | Uk51WDhSUTRlUGNIQUFmME16K1NDRGxVQQpHUmZUYU5NNGtZM3JOaGpYaGQ3VEp2OXRDWEI1TldQ | |
|
|
1141 | VUwxdythNFJDdzdzYitkWHQrUEhqeHVmNjllc2JuK3ZWcThmS2xTdU5OS1ZLCmxhSmZ2MzdNbmoy | |
|
|
1142 | Ym8wZVBzbTNiTnViUG53OUEzYnAxcVZPbnpyVjNrT1N5eUpHdlJIS1Y1SHNwQzhOTDJZZFBlQUZp | |
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1143 | WTJNNWN1U0kKMzdHYmhTODJzMXZ6clJmV2oxKzhlSkdNakF3Q0F3TTVkT2dRLy96blAybldyQm56 | |
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1145 | KzBoTFMyUGV2SGxzMzc2ZHI3NzZpbUhEaGhuQ2UvandZVlExL3pHbDczU2tmODl3CmVvdmM2OWNu | |
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1147 | Y25INmZieTRRZnYKNC9WNk1adk56Rm13aENObk0vaDYyV29qamFvcUpMVy9EODh2K2VKckNvK2lZ | |
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1148 | QmNLa1IrZTB4eFpDbnZsR2lBMGZscTFnbTNidGhucAo0dUxpak0vYnQyODNQdS9Zc2NQNFhMRmlS | |
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1149 | UURhdFd0SFRFd01RZ2crL2ZSVGxpNWRDaUJIdlRjWUtiNFN5V1c0VkhDOWVTRVJBOHo0CmJXL25j | |
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1150 | cmxZc1dJRi9mdjNwM1BuenZUdjM3L1FhTEdrRVVMZmlVaWd6emtYMU1xQkF3Y3ljZUpFRWhJU2FO | |
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1151 | T21EVjI3ZHVYamp6L0cKNC9GdzZOQWhIbnp3UVY1OTlWV21USmx5U1o0aWI4NjQ2TkdrYjRtUnhY | |
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1152 | VGwrVjZBTm0zYTBMWnRXMkppWWxBVUJZL0hnOXZ0TmthSAp6enp6REVlT0hOSExSdCtpTU5SdVFs | |
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1153 | RWcyR3J5MnlXcElJcWlZRmIxTmp2ZC9vSXY4dFpYZS9PRTFaVW5yQTZYcGtmVWNtcGs1UXBkCldG | |
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1154 | MENwMXRQNDlVdUxRTUNyQXFCRnZ6cWtlbnlrdUgwR3FFeWZYMlFkdUdDa2NZZUVzcVprOGQ0YTlL | |
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1155 | cnhyRWpGN0pKODFxNHYwMlMKOFdhbktQZ0p1NzVWbzU2ZkdoaEViUCtuc2Roc09Cd09PbmZ1Ykho | |
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1156 | V0p5VWxHVzJkTUdFQysvZnY1L1BQUDJmOSt2VUExS2hSZzFLbApTZ0ZnTXBsNCtPR0hBWmcyYlJv | |
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1157 | T2h3T1R5VVNmUG4ySys5a2tmd0pTZkNXU1N5aEtjRTJLTHJqMllweW1yRllyeDQ0ZG8zNzkraXhj | |
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1158 | CnVKQWhRNFpndVV5QWhCdU5WOU0zWGpDcFlGSHpoVmNYVC8xaC9vOS8vSU1qUjQ2d2ZmdDJldlRv | |
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1159 | UVkwYU5SZzZkQ2k3ZHUzaTVNbVQKaGZJVWVXRW11WXllNW5vS3pQZGV4ZE1sS2lxS2Q5NTV4L2h1 | |
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1160 | TnB1eFdDeUcrRmFzV0pGVnExWkJYckZlVFdCU0ZXSkNMQVRaMU11Swp1NklvMk0zNjc1bnRFbVFW | |
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1161 | Rk5aY1FVNmVzT2JtQ2FzZ3I3L01DamF6UW9CRklkQ3FFR3hUQ0xHckJObFVmZk9IQXYxaFVrQlJG | |
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1162 | V010CnN4RENHUFNxQmRLbDV1VFM0WUVIQVgwSlVJOE9yZmpiM1hVNGZDSy9uMHNIMjdrck5wVGVm | |
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1163 | UWI0THNUcmNnRUNrWmRwc0MxL3BsREwKemlMbXArK1lOM2N1TnB1TnMyZlBjdDk5OTNIaHdnVWVl | |
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1164 | dWdoMnJadEMraHp1RFZyMW1UQWdBRTRuVTRzRmd2dnZmZWVYMS8xN2R2WApxQnRBcTFhdEtGdTI3 | |
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1165 | T1YvUE1sMUljVlhJaUV2VXRObEJOZGl1ckxUMUdPUFBjYUlFU09JalkwdG9Wb1hSZ2pRTkYxc2JT | |
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1166 | YU0wWjkrCnJyQzUyR2F6RVJFUllYeWZOMjhld2NIQmhkcmdHL0Zxb3ZoUWpyNW9YWGs3OCtadEpW | |
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1167 | aFVPdi92S1NrcHpKOC9uOHpNVEU2Y09NR2gKUTRld1dxMEFORzdjMkFnZ29TajY3eUJFNGUwSkww | |
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1168 | ZkI3UXJOS29XRU5kaW1FR1JUQ2JUcUptMmJXY0ZxMWszWFFvRERyWkh1OEpDYQo1U1l0eCtNWGpV | |
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1169 | dkoyN0hKVnhkRlVRZ05NR00xdzdrY2wzR3NiRmdnSFpOYTh1KzMzNmZXM1kwSmk0NmhhZWRlUFBy | |
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1170 | Sy94bHBBaXdtCmpxVmxzeWNseDhnNzUrdlB5ZnI0RGJMMzdzQjE2aGplWS92eHBKNEJJYkM2bkh3 | |
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1171 | OWN3YmR1M2ZuNDQ4L0JtRC8vdjEwNjlZTnA5UEoKMHFWTG1UaHhJZzBhTkNBa0pJUUtGU3JRdFd0 | |
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1172 | WHRtN2RXaWlRU21KaUl0V3JWemZLbFNibkc0K003U3o1eXlMeWdrUjREVkhSQlZjWApySnZ2bmZ4 | |
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1173 | SHVkU2IrWStTbnA1T2l4WXRXTFpzbWVFQm5aKzMvbEppTHlLZ2hnK25XK09pdzR0RlZiQ2EvZU01 | |
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1174 | RjhUajFZd0lWd0JiCnRtemhqVGZlWVBmdTNiamRibHEwYU1ISmt5ZTVlUEVpdFdyVklqazVtY09I | |
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1175 | RDE5Vkc5NTk5MTF5YzNNWlBueTQzM0ZOQ0J5dVBGT3gKcGJqNWF2MEZ6TzNWOXl4MmVZWFJwM2FM | |
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1176 | U29oZE4zTmZ6b0ZMQ01GdktkbUUyQ3dFNXEzRE9wK2R5L0YwQjZmU0hiZ0sySzVOcWtLOQowbUhF | |
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1177 | UndTaENjSEdFeGM0bGU2Z1c2MnltRldGMVlmUGtadWV4c2xmMXZEdG1yWGtPaDBFQjlocFZQc3Vl | |
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1178 | blh2U2YyNnRmeGVMQ1EzCkI3bXhna1J5RlJRbnVDYjE4Zy9WV3gydlJwNkg4Ylhub1drYUowNmM4 | |
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1179 | SFBXZ2Z4TkRHeG1paDNOQXFRN3ZMb0hza1hGcE9xanlZSjUKQ0FFYTRQRUlySmI4UFg1OTVRWUdC | |
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1180 | aElZR01qUFAvL01oUXNYaUk2TzV1REJnK3pZc1lNMzNuZ0R1OTFlWkxsQ0NFTk1kK3pZd2NDQgpB | |
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1181 | L242NjY4THRhT2dBTnZOK24zZ0UxbTNWeXMwcHd2NjhxWVFtejdIZkRVdlpFTG9wdXh6V1M1T3BP | |
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1182 | ZHc0cUtESEhmaHVNdmhkZ3VOCnlrY1FZclBnMVFRckQ1N2xmSTZMKzJxVUppTEF5cDZ6Nld3L25V | |
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1183 | NkxTbEZVQ0F0RVZRUVdrNGxnbSs3MW5lM1NMUXdGKzFoeWM1RGkKSzVFVWd4QUNyOUIzRExxVEJC | |
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1184 | ZnlSN3NlemQvRWZQcjBhVEl5TXFoUm93YWFwdkhGRjE4d2I5NDhzck96YWRxMEthTkhqeVlnSUtE | |
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1185 | NApqSTM4QmJtZVBETzJ1ZWkrOGprd3BlVjRFU2pZeldyZUNGSHY3d0xUb0lBdWdpRTIxYzloN1Zy | |
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1186 | d2VEeVl6ZnJvOHZEaHc3aGNMbXJXCnJNblVxVk01ZWZLa0VjRENWMGUzVjVEajBzajFpR0k5b0JW | |
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1187 | ME0zV2dUVFUyanloS2RKY3ZYMDVpWXFLZnlkNkgyNnN4ZTlzcHZNV1UKVVMwcW1GcXhvY1oreFJ1 | |
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1188 | T3BYSXMzVUZpK1FpcVI0ZVFrcDNMOGdOblVSWG9WYWNjS0JBZVlNYXRRYkJWcjVQTG8wK1JCRm1M | |
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1189 | Tis5TApTZ2E1cTVGRVVnQjloS3Mvb0J3ZVhaeE1pbTQyOWMzaDN1N0NDL2xpVzFCNG4zMzJXUm8y | |
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1190 | YkVpelpzMXdPcDJvcXNxNWMrZm8zNzgvCjc3enpEcWRQbjJiNjlPbEdJSTNMNFh0aE1TbGMxak00 | |
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1191 | eHdVMnN3bTdzZHVSdndPVHZjQThhNGhOd2VtKy9PNVBtcVlaRHpTdjExdG8KMTU0VEowNFlucjBB | |
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1192 | cTFldnBtWExscHc2ZFlvTkd6WVlTMmZ5KzBsM2lzcjFhSDdDYTFiMWpSN0NBa3hFQjV1SkRiVVFH | |
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1193 | V3pCYmpFVgpHUnhsMjdadHRHblRob2tUSnpKa3lCQWpNTVdsdTFsVml5NGMzOXR1Vm1rZUgwMmQw | |
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1195 | MzNSeENTM0gxSjhKWGNNZnhYQnZSVGxFblB6UC83eEQ3WnYzMDYxYXRVNGZmbzAKb0h1ejl1clZp | |
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1196 | NW8xYXpKbzBDQTJiZHJFbVRObi9QTHhlVUw3L25KY0dpNlB2dDdWNGM3M0RQYmtlUWFyaWk0Qytv | |
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1197 | aFlrT1AyNHNrVApvVUNiNHVmQVpESHI0bWRTRlZSVkpjdnBSU3RpamE0UFZWWHhlRHljTzNlTzNi | |
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1198 | dDM4KzY3N3hxZXVBQXJWcXhnMkxCaGZtMnVWcTBhCkw3NzRJcHFtMGE5ZnYwTENxUUNSZ1daQzdD | |
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1199 | WWlBazJFMk13RTJTeUVCWmdJdEpxd21DN3ZQUTN3MDA4LzBheFpNMWF2WHMzamp6L08KakJrelNF | |
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1200 | MU45VnVMYkRHcE5DZ1g1aWVXOFJFQmRLMVZodmhJT3lFMlBUUm5qc3ZMTDc5ZkpOaHFvbmw4TkVJ | |
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1201 | SVZoNDhoenRQVUN1RQo2NVlKcTBrQjRTKytpcUpnTmVscnVPK0UzWnoraWtqeGxkelcvTlVFOTJx | |
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1202 | ZXN3a0pDVVJIUjJPMzI0MGxRekV4TWNaSWQ4V0tGY1RGCnhSRWRIVjNvV3EvbUc5M21lMFpiemZx | |
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1203 | SU5jam04dzdXUFlNRHJDbzJpNHJWck9ET2MwN1NsMkZkMlp6djlHaGtPTDJYTmRlcHFrcE0KVEF6 | |
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1204 | MTY5Y25MUzJOSlV1V0dPY2VmZlJSbkU0bjMzNzdMV2ZPbk9HbGwxNmlRb1VLVEo4K25TKy8vSkxT | |
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1205 | cFVzWHlrOVJGQ3htbFdDYgpDYnZGUktCTkZ6QW9PbUxYeVpNbmVlV1ZWNWc1Y3liSGpoM1Q2KzEw | |
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1206 | RWhNVEEwRHIxcTNadm4wN2I3MzFGcG1abVg3WG1rMEs4WkdCCmhOcE1kS3dlUTh2SzBRVG5tYkl0 | |
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1207 | WnBYd1FCTTJxejZIM3FGYWFWUkZZZE9KQzF4MDVvZnhyQlNoajU0dEprVTMyMS9TcFQ1bnF5S20K | |
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1208 | bENXM0FWSjhKYmNkbHdxdTIzdG5DNjZQZ2hzaVhBbFZWU2xWcXBRaEdybTV1Vml0Vmc0ZVBNakdq | |
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1209 | UnRwMGFJRmdZR0JmdVpTM1RTcgpDNm8rbWxXd21jbGJkcU1VdTd6SHQ4UUlRRUVwdExkdmtmVlRG | |
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1210 | QzdtZURpVFhyenAyMlF5a1pLU3dxaFJvMWkxYXBVUnRNUW5sSysvCi9qcUxGeSttWThlTzJHdzI3 | |
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1211 | cjMzWGo3NTVCTysvdnByeG80ZFMzSnlNak5tek9DWFgzNHB0ZzRtMVQvMnRoQUNwOVBKeElrVDZk | |
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1212 | aXgKSStucDZlemZ2NS94NDhmamREcUppb3BpeTVZdGZQamhoOHlhTll0cTFhcHg4T0JCUWtKQy9B | |
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1213 | VGNhbEpwVVNtUzl0VktFeGxvTGVSQgpyeW9LTWNGV0JqYXFRSWpkeE5HMGJBNWV5TjhIdW01c0tD | |
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1214 | WlZ3WnEzeEsybzVkV3FxdmUxN3BVdFI3KzNHeksycytTMndPYzA1UXRmCnFLRFAxMWxOdDcvVDFL | |
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1215 | VUlvWWRVOE8xQTVBdFc0WHQ0Zi9ubGwwUkVSRkNwVWlXcVZhdFdiRDdseXBVem9rTlpyVlk4SGcr | |
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1216 | VEowK20KVHAwNmRPclVTVjh2cXhaV1NpRUVycndBSFZmanpPTXFFRmhEbitlOThqVytuOHlUSjlx | |
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1217 | K0FCNittTkQ1NlJUUzB0Sm8zcnc1WThhTQpJVDQrM21qejNYZmZ6V3V2dlFhQXcrR2dkdTNhREI0 | |
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1218 | OEdJdkZRcU5HalZpOWVqWGp4NCtuUVlNR2JOMjZ0Wmg2NUpmMTY2Ky9Vck5tClRleDJPd2tKQ1R6 | |
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1219 | enpET0VoSVN3YnQwNkZpNWNpTjF1NStHSEg2WjY5ZW9zV3JTSUN4Y3VNR2ZPSE82Ly8zNjJiOTlP | |
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1220 | UWtLQ24rZTEKV1ZVd3FVSVB6RkhFUFdyTzYvdGdtNHJkb2dkdjhXaUNJSXVKdTh1SDRmYnFvMTY5 | |
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1221 | ZzRwKzhiS1lGRHh1ZlNyQVlpcDhYbkxySXNWWApjc3RTbk9CYWJtUEJMU2lzUGs5Z3JVQUFpNEtl | |
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1222 | d1dZVjdKYzh1Qjk1NUJGU1VsS29VNmNPKy9idFk4NmNPUVFHQmhiNWNILzIyV2VOCjZGR0tvakIv | |
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1223 | L254amczWFFSOE5GTGQveDVqbFpCVnpsMDhFWFV0TG5EWDJscGFkQ0NHTVU1eFdRa3VuR293bnNa | |
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1224 | b1d3UUxQZkNDOHEKS29ycDA2Y2IzeGNzV01Cenp6MW5SQStMakl3MHp2WHAwd2ROMDNqa2tVZjQ0 | |
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1225 | b3N2K1B6enozbmxsVmQ0NXBsbkNwVXZSSDU0MEQxNwo5akJreUJCKyt1a241czZkUzgrZVBlblFv | |
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1226 | UU1tazRtdFc3Znk5Tk5QRXhzYnkrclZxMm5TcEFuTm1qV2pRWU1HUnV6dWV2WHE0WFE2CmdjS2Uw | |
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1227 | VUhXSzVzQlZFV2hXblFRRmNNRCtPN1hjelN1R0c1TUwvaE15MFdablNIZjBjN2xGZmxDTGJrdGtP | |
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1228 | SXJ1YVc0blFYWFovckwKRjlYOEVaMG9jUHhTbEx4bE9hb0NxcHEvTWNDbG84Q1ZLMWZpY0RqNDVw | |
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1229 | dHZTRWxKWWVMRWlRUUZCZUYwT3JIYjdjYnVQejdLbHk5UApsU3BWK09hYmJ4QkNNR0xFQ0Z3dUZ5 | |
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1230 | MWJ0aVFuSjRmZXZYdnozSFBQRldxRHk2djM5OVd1YS9XRmxEU3JhcEdtY1NPR3NsZkQ3Y2tMClpG | |
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1231 | SEEyY3J0MVZBVXBVQjBySUo5azMva3pKa3pWSzVjbVdQSGpsRzZkR25ERE8xYmNqUnQyalNxVjYv | |
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1232 | T0R6LzhRRWhJQ08rOTl4NGQKT25UUWY1TUNmU1BRdzJEYTg0SnQyR3cydW5UcFF2LysvZm5nZ3cv | |
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1233 | bzJiTW5KcE0rak55MmJSdERodzdGWXJFd2RlcFVFaE1UR1RObQpERGFialY5Ly9aWFhYMytkOCtm | |
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1234 | UDA3Qmh3Nkk3S084M1BIWHFsQjdwcW14WnZGNnZrYjhQaTBuRllsTHBXYmNNaWdKcE9WN01xbi84 | |
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1235 | CjhLSitEWi9qbFI0aVU4aGxSN2NSVW53bE41MmlCTmVrZ3YwV0UxeERTSDNDV3NTeFMxSElEMzVo | |
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1236 | emx0WDdCTmJSY0Z2VzBML3NncUwKbU5QcEpEZzRtTDE3OS9McHA1OHlhOVlzenA4L3o2RkRoL2po | |
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1237 | aHgrdzJXeCs2YTFXSzQ4Ly9qZ2pSNDdrd1FjZjVNMDMzNlJtelpwRQpSVVZSdW5ScFk0MXNvVHJu | |
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1238 | MWZWcThDMUY4bUZTS1NDMGVxU29vbGJENlA3Uk9zRjJmWW1TK1pJUW5tNjNtd01IRHJCMjdWcU9I | |
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1239 | ajJLCncrR2diZHUycEtXbHNXclZLaDU5OUZITVpyUFJqdkhqeDVPVGs4T2hRNGVNR01ZK003QnZT | |
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1240 | MElCT0Z4YW5vbGNqOU5jdFdwVm5uamkKQ1lRUWZQamhoNnhhdFlvMmJkb0FNSGp3WUtNK2RydWR6 | |
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1241 | WnMzNjBFdXNyTVpPWElrY1hGeGZQYlpaNFhpZVB0ZXhIejNiNHNXTFlpSQppR0R0MnJXWDNlM0tw | |
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1242 | T3ByUnUwV0JhV0EzQXFCMy9lQ1dFeVE2OUg3WFlydjdZTU1zaUc1S2pSTkl5Y25CNHZGVXVnaGZ5 | |
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1243 | MFVKN2htCnRYaEJ1cEVVak1CVWFOUjZHV0V0S0tSWEs2eVhyMGRlM25tWEhUbHloQ05IanRDbVRS | |
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1244 | c3lNaklZT1hJazRlSGh6Sm8xaS9YcjExT3UKWERtR0RCbENSRVFFYjd6eHh2VjBnUkZRdzJLNnVu | |
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1245 | bGJJUVFaVGk4NWVXSVdZREdSNjlIOGR1SHhvYURQVDFyTUNsYVRTcWJEUTdaTApOMWVYajdBWkd4 | |
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1246 | TVVaUC8rL1V5Yk5vMGZsaTRsTWl5TTBxVkxVeUUrbnJvTkcxS25UaDBTRWhLTUVXUjJkamE5ZS9m | |
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1247 | bTNYZmY1WnR2CnZ1SHZmLzg3a1pHUithUGR2UHZONWRIWWR5NlR2V2V6YUJvZlFYeEVvRjliLy9P | |
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1248 | Zi83QjI3Vm9XTDE1Y2FJUTZldlJvNnRldmIrd0EKVkhCK3QyQ2ZnRzhwbG41dTdOaXhIRGx5aExD | |
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1249 | OE5vd2FOY292Tm5SUmVQTGU3bno5a3BtcjZUR25pekV0Tzl3YWJpOTV5NWlrQUpjawoxNnBmY3VR | |
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1250 | cnVTeDc5KzdsaTA4LzVkdEZpOUE4SHJ5YVJvVzRPUG9OSHN6OVhic1NFaEp5NVV6eXVOd0k5MFlL | |
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1251 | YmxIL01JVHhuL3dSCm1LWkJib0Y0dmo0Uk5hbGdWcFI4a2NXM3R2YlByYThRK1pHcVFJOTVmTjk5 | |
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1252 | OTZHcUtqTm16S0JMbHk2ODg4NDduRDkvbnRUVVZDcFgKcmd6b2M1MGJOMjRzWkhiK1kyVUxQRjVm | |
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1253 | ZTR0dVYxSG1ZMS9mS2VnUGZkK2FVN09xTDFHeW1CUXNKcldRdDI5MmJzRlJYYjR2cjZacApMRjI2 | |
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1254 | bEpuVHBuRnkvMzdLQVUwMWpiQ01ETWpJSUdmdlhyNzc5bHRtbXMyb0VSSDBHenlZaC92MElTZ29p | |
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1255 | TVdMRjZPcUtrOCsrYVJSCmxtOCszZUgyc3V0MEJyK2xaaHQ3QVA5eUtwMjQ4QUNqYklEZXZYdnor | |
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1256 | ZWVmczJQSER1clhyMDlLU2dwTGx5NWx6cHc1Mk8xMkJnNGMKYUtRdDJCN2ZQWmFUcTZHcUNuYUxm | |
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1257 | aTQ1T1prRkN4YXdhZE1tZHUvZXpjaVJJMm5WcWhYTm16ZS83TzloVXZLclpXeUljWm4wVnBPUwpG | |
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1258 | NWNhclBLcGZsc2dmeVpKa1hpOVh2NDliaHhMdi9pQ3V6U04vaUVoQkpuTi9KU2F5cXdmZjJUcGp6 | |
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1844 | V1Y1UHNQdzZaTm02aFQKcDA3Szk5VFVWT3JjdWJNeXlYLy8vZmVLTWNhZkRVR1VKRk83bzN6cGRN | |
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1845 | dVdMVFJreUJDM2llUG16WnYwMGtzdlViTm16V2o2OU9sdQo2bE52ZFpqdEVyay9ERTZkT2tVVEpr | |
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1846 | d2dJcUp2dnZtR1ltTmpQVlNqRmNIYmhNZnpQQTBZTUlEbXo1OVBSTksrWjBaR0JxMWV2Wm9ZCmhy | |
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1847 | bW5JWkhnTlA3eDVwZGE5bjlCRUdqdjNyMXVWc25EaHcrbnMyZlBFaEhSb2tXTGFQVG8wZFNtVFJ0 | |
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1848 | NjRva252RXFWS1NrcDlNSUwKTDlEeTVjc3I3RmRaaUtKSXVTNit5YmxHS2FldXZVeGU0aXRYcmxD | |
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1849 | VEprM296Smt6UkVTMFpzMGFHamx5SkUyZlBwMTY5KzVOUzVjdQpyYkErbTgxRzc3Ly9QcDA3ZDQ0 | |
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1850 | YU5XcEVQLy84TS9HOHAyclk0WERRaFFzWHZIcFdFSlVtdTg5MXR0VmdkbEJ1c1ozeVRUeVo3SUpp | |
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1851 | CmFlN05tbHcySkhNNC9aV3Rkb0VLVFhZeVdCeVVWOEtUMGVwUStuNnZNZU1kb21LZGYrN2N1WHZt | |
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1852 | OWxYYWI3ZlR0V3ZYYU5La1NkUzgKZVhNNmZ2eTRjczVWS3E5SXkvS2dCRnhpRmNoNEh3YUYvMFJV | |
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|
1853 | a3U4L0RMdDI3VkpVeXJJcWI5U29VYlJ0MnpZeUdvMFVIUjN0Wm5UeApaMEFVaVhpQnlNTGZIeW1P | |
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1854 | SFR2V3cxM05ZREI0M1cvMHVtL20zSmQ5R051UWhJUUVHang0TUEwWk1vVEN3OE1wS2lwSzBTUThy | |
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1855 | THZXCmpSczMzSXh3NUhJMmI5NU1nd2NQcHBTVWxBY3VVNTVjQlVHZ3FWT25VbTV1NlY2emZML2w3 | |
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1856 | OTI2ZFZQY1h4d09CMlZtWmlwa1hCWWwKSlNVVUhoNU9qUnMzcG9TRWhITDNwNzBkRXdUUnVWY3Rm | |
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1857 | ZkpLZU1vMTJpbS94Sk1ZRnl4WTREWW1wMCtmcGtXTEZ0RzZkZXU4dHN0YgpnQTBpb2tHREJ0SGd3 | |
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1858 | WU9wUTRjT3RHelpNcThHYkJWQmxsQ2x0a29mb3pNb1JrV2taYkk2cU1qTVUwcXVtYzZsRml1ZlRJ | |
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|
1859 | T2RNZzFTCm43MzErMTV0ZVZCU3k4ek1wRTgvL1ZSeEh5dTdSU0NLSWhrdGpuTEo5VUVKMk81ME83 | |
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1860 | b2ZZOEIvR2g2V3Z4NDZ2T1R2aWNyd2tnK0gKb3FJaUJBVUZLZDgzYjk2TUF3Y09nR1ZaVksxYUZR | |
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1861 | c1hMdnpUMmtZa1pTY2lraElEbFBYeGwrKzNxL08rd1dCQXIxNjlzR1hMRm9TRwpocGFiM1lWSUNr | |
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1862 | TEJzWjdPLzd6Z1REZW5jZy9hVVJZaUFYQUc5bUFZS2NqRTVNbVRFUjhmanhkZWVBRW5UcHpBbWpW | |
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1863 | cjNITE0zbCsvCjNXTXVBMUlxT2J2ZERvMUdBNlBSaUg3OSttSDgrUEhvMTYrZkVyaWh1TGdZbVpt | |
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1864 | WmlJMk5MYmM4UUlxVmZ1VElFY3lmUHg4TkdqVEEKckZtelVLZE9IYmZmeUhYMTc5OGZvMGVQaHQx | |
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1865 | dXg4cVZLOUdyVnkrRWg0ZWphdFdxYU5pd0lVSkNRcFR5aVFoWldWbW9WcTBhaUFocQpsL0NiMmRu | |
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1866 | WnVIYnRHdHEwYWVNMXpLUkRFR0d3aWtwN3pUWUJka0VLOGxERlY0VkFIeFZZdGpUUVRzK2VQUkVS | |
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1867 | RVFHYnpZYnAwNmQ3CjlGbUcwV2pFRjE5OGdUcDE2bURnd0lGdVkvRDY2Ni9qMVZkZnhkbXpaN0Yy | |
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|
1868 | N1ZyTW5qMGJMVnUydksvNzRncVJDTHlEb0ZZeFNwak4KaXNwd2lJUUNrd0NqMVFHanhhR2NDd3ZV | |
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1869 | Z21FWnFEa0dHbzZCdis3Qk00aFZOQWZlSzhpRmEvL0lHY2F6eENiZEV6OHRxNFFsTGZzYgpLeThs | |
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1870 | VVBCUm84SkFIRVNFRWh1QlkvK2FPY0gvVER3c2YxV1M3Lzh6UFBYVVV6aCsvRGp1M3IyTDRPRGdQ | |
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|
1871 | NlVOb2pNeFBNdVU1cVYxCk95OFNiQTd5bUJCeWMzUFJ1blZyUkVkSFkvdjI3VXJxdDdJZ0lsZ2RF | |
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|
1872 | dmxxUEJJT1NIVVQ0SXpNNDM1T0pDbnVyVWhTQUhuT1Mvc0EKaVl6djNyMkxKNTU0NG1HSHdRMXlN | |
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|
1873 | UCs1YytjaUt5c0xpeFl0VW1JSTUrWGxZZlRvMFRDYnpjalB6OGYzMy9TaW9aa0FBQ0FBU1VSQgpW | |
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|
1874 | SCtQcUtnb3IyV01IejhlZS9ic3daSWxTNVRJUnE0TG1mejhmSHovM1hjNHNHTUhUcDQ0QVgrV2hj | |
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|
1875 | NWtRckJlaitDZ0lCREx3c1J4CnlPWjUrQVVHNHJIbXpURnd4QWkwYTlmT1k3Rmp0Vm94ZS9aczdO | |
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1876 | Ky9IMDJhTkVGSVNBakdqQm5qTlJwVW9WbUEwY3JqVnA0WmZsb1YKcXZocW5HMEN3b08xVURrRFho | |
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|
1877 | dU5SblRzMkJHNXVibFl2SGd4aGcwYlZ1NllHUXdHN04yN0Y0c1dMY0xMTDcrc1JJRUMzTlA2TFYy | |
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|
1878 | NgpGQ3pMNHBWWFhpazNwclRKSm9KMWtxUEt5Nkx0ZmlHS2hId1RqNXdDQTdiL3NBTUh2L3NHZWRt | |
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|
1879 | WkFJa0lDZ3BDcDU2OU1XejRVTVRVCnIvZFE1Y3Z0RlVuS2NpVmxubVRBT1ovVis0bXpURVFvTUF0 | |
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|
1880 | d1RhV3M1aGo0NjFnUGduMFFBclk1cFBlMk10NnpPeXJKOXg4T2VlVzcKZGV0V1hMcDBDWFBuenYw | |
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|
1881 | VDJpQzl4QTZ4bE5qS3R0RXVTTmxTR0VZS0FlbWFvR0RhdEduUTYvWDMxWGJSU2NCYXpuUENJQUpz | |
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|
1882 | VG5KVwpjMUF5QlRtY2s1R3FBdEoxT0J6Z09NN3I1RnllOU9RTmVYbDVTb1l2T1k5dGNuSXl4bzRk | |
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|
1883 | aTBXTEZxRk5telpnV1JaSGp4N0ZrU05ICmtKV1ZoVTgvL1JSVHBrekJZNDg5aGxHalJubVVLUWdD | |
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|
1884 | MXF4WmcrKysrdzZGaFlXb1U2Y09ac3lZZ2NqSVNHUm1adUxMRlN2dzA5NjkKcUNlS2lGR3JZY3JJ | |
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|
1885 | Z01Wb1JGUlVsSnVHUk81TEVjL2p0c21NUkk0RlZhbUM0YzgvaitFalJzRFgxeGNBOFBYWFgrUFNw | |
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|
1886 | VXQ0KysyMwp3Zk04WG52dE5Zd1pNOFlqYnkwUklhUFFpcVFjczNJc1dLK0JuMWFTNnZVYUZxRUJH | |
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|
1887 | bkFzZzdmZmZodEdvMUhKN0hNL3lNM054Y3N2CnY0emx5NWNqTEN6TTQvekFnUVBSdjM5L0RCOCsz | |
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|
1888 | T01jT1pOdldCMmtaUFppQUdoVURIeThTSU91a05QOG1Vd21aVEVraWlLV0xWbUcKdFN0WG9qclBv | |
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|
1889 | eEduUm9oRzZwdU5CRnczVzVERU1vaC80Z2tzL1BCRGhBUlhlV2lpTXRwRWFRRUpSbGxRcWxoSnF3 | |
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|
1890 | TlV2SUFRaVdDMgppN0R5cGFrNUFlOVNzRXpBSWtuSkdNb2pZTkVwL1dvNEtPazZLMUZKdnY5WUVC | |
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|
1891 | RUk3aXRpYjBuTC8vaDJWS3htRmtSblJodm5lVFVuCkVhUldWVXJBWXBrMGJ2Y0NMNUNVdlVYbE9S | |
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|
1892 | R0pUZ0ptR2VsL1dRcG5tWXJWMGVYM1Q0NGJYZjZQRHg4K2pCMDdkbURyMXExbzJiSWwKMXE5ZkQ1 | |
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|
1893 | VktCVUVRc0hUcFVseTZkQW5ObWpYRHVISGo0T3ZyaTd5OFBMejk5dHVJakl6RWtDRkRFQllXcGto | |
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|
1894 | dnk1Y3ZyN0E5UlVWRgoyTFp0RzBKRFE3Rmg3Vm9jMjdVTEhRSUMwTHhhTmZnNFZkbEZSVVhnT082 | |
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1895 | K1lqMW5XaXc0WjdYaUZvQVdIVHJnbVdlZVFlL2V2Wlh6CkJ3OGV4UFRwMDdGMDZWSkVSMGVqZXZY | |
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|
1896 | cWJvc1JRU1Q4bkZ3SXUwc1MyT3IrV21qVjBuTllxNG9HT2hVTElxcndIcnMrQTNMNXYvenkKQzhh | |
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|
1897 | T0hZdkRodzhqTkRUVTdYcXIxWXBUcDA2aFE0Y09IbVhKYW1JRzB2c2hBa3E4WlRYSDRPa3VUK0xv | |
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|
1898 | MGFNSUR3OUhTa29LUm84ZQpqYlZyMXlydHNGZ3MyTFJwRTFhdlhvM2p4NDlERkVXODhkcHJPUHZE | |
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|
1899 | ZG5UUjY2RmpWSkI3eTBES2d3c0EyUVlMVGhtTGNhZGFkV1RuClp5SS9Kd3RQdEcrUGc0ZCtBc2RJ | |
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|
1900 | MlpzT0h6NE1obUV3ZWZKa0JBWUdlbTE3aVoyZ1UwblN1cnpWd2d2U0FsZk5TWm9kb0dJUzVnVkMK | |
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|
1901 | aVZWUUZwNkE5RnQvSGVmMkxMc1NzSThhWU10NXpzMTJFWUlvWlR1cWpQY3M0V0g1Nnc5TnJGQ0pQ | |
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1902 | eDRsTmhFaUVmeTFuUExDL0JuRQpDd0FxQm1EWXNxcGU5N1IvUG1wQUlBWWxOdWxITEZNYWVQNUJF | |
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|
1903 | MEdvV0VtYTVjWFNpUWlRcEZ6Qk9kbklaSy82RFF0MWFlSWpHRzJFCkFDK3FPMUVVTVgzNmRCdzll | |
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1904 | bFJKTENBblVBQ2N1VmExV3F4ZnZ4NzE2OWRYSk12azVHVG9kRHEwYnQwYVlXRmh5TTdPeHVYTGwv | |
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|
1905 | SFYKVjE4cDViSXM2MVhpRGdvS1FxdFdyZkQ2eXkrRHUzMGJ6NGVHQWpZYldFRUFuUFY2azNiZEpa | |
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|
1906 | N1NleFhNc29qS3pvWWZ3K0RNM3IzWQo5Y01QK0hEWk1nd2JOZ3luVHAzQ3UrKytpMWF0V3VITEw3 | |
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|
1907 | OUVabVltOXV6WjQxWVdBNkJlTlY5Y3p6SXB4M2hCZ0krR2cwaEFUakdQCk9zRmF0M3ZzY0RodzZk | |
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|
1908 | SWxYTDkrSGJlU0w4TnVOME1RZ0tqNmp5SXdNQkFxbFFvMm13MHJWcXpBekprendiSXNUcDQ4aVpT | |
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|
1909 | VUZJd1kKTVFJQW9OUHAwTDU5ZTQ5N0pqcjNQVTEyNlVGZ25Ra3ExTTZ0Q3RmdENya2ZjcjVvK2J0 | |
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|
1910 | T3A4T1lNV093YytkT3JGcTFDbWFqRWVlMgpiOGN6UVlGUXNTeHN2S2c4KzY2UGhJOWFoVWhCRFV2 | |
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|
1911 | YUhWeTFGSUlBbkx5ZWl6YlRkaUNxUmdBeVQyN0VzYTMvQVFEMEh6d2NUYnlRCmIxa3dEQU1WQjZn | |
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|
1912 | NE9Xa0RZT1pselErNVhlY0tOY2NneUpkVHhrTGVsaWt3Q1c1U01NTXcwS2tsQXBhVE1YZ2pZSTJL | |
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|
1913 | Z2RrdUxYclYKLzl0cDV2OGRLaVhmdnpGRWtaQm5rb3crZ24xVlVISC8yNVdvZk12S1d3QzdTcnNh | |
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|
1914 | bFpSQngrcEFoWm1ISGhTdTZtY0NBNGRUK2xheAowa2RXTjkvTEFPdGVJQ0lVV1VTb09jQlA2em5y | |
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|
1915 | Mkd3MnhSanB3SUVEK09pamo3Qjc5MjYzYTA2Y09JRTMzbmdEa3laTndvQUJBN0I3CjkyNXMyclFK | |
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|
1916 | cTFhdGdrNm53K0xGaTVHYm00czMzM3hUSVU1QkpGaDRBWHFYMVFYRE1EaDkralFtamhtRDFqeVBS | |
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1917 | dVhrNmkzYmZwN24KM2ZiUkJiRTAydzNQOHlndUxrWklTQWlzZ29Edk1qS1FybGJqOG8wYllGbFd5 | |
|
|
1918 | UkpVV0ZpSThlUEhZOUtrU1dqVHBvMWJIWUpJT0g2egpFQndMUklmcUVlcXZnYzFCeUNpMGdTQVo2 | |
|
|
1919 | bFFQME1CWWJNRG1UUnV3OWZ2VkNBMHg0NUZZQitxRkUrdzJJKzdlelVkbXJpOHVYQVpTCjd6Q29W | |
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|
1920 | ejhla3lhOWh1enNiQnc3ZGd5aUtDSXhNUkd4c2JHS2xGcTJud0RnRUNWSmtRSEFzcExHZ2dIY0pO | |
|
|
1921 | Vk9uVHJoNk5HamlJaUkKd0xsejU1Q2RuZTNWK0d2SGpoMDRkdXdZRHYzd0EwYjQrRUF2WnpkeVN0 | |
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|
1922 | RUFvT0lrRFE2UjFJWnI2VVVRU01RQjNvck01aU9ocXRGRQpLYytXc0JXMnk5c0FCdkRyL1NGQ3cy | |
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|
1923 | cWhmbzBBeE5RS1JIU05BRVRYREVTRFdvR29HcVNIajVvcE55ZXZKTmxMWkNwcmQrU0ZwamVwClZC | |
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|
1924 | QUpKVFlCOWxJN01ROHBtSWhnNGFWK2VKT0FpUWdtdTZSTjBHc3JWYzlBcGVUN2o0U1psMWIxR283 | |
|
|
1925 | NVN4RXZrV1NZd2J0SXUzYUIKWUpXVDI2c1pxSCtuTkdVTUdMQU13U1lBREFocWxnSG5ZbWpGc2RM | |
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|
1926 | RVpCYzhEYkFlcUI1R2FqTXZBQTZCUE1aYnE5VXFrdXI1OCtmUgpzbVZMTjBJR2dIYnQydUhvMGFQ | |
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|
1927 | Szl6Tm56cUIyN2RyUTZYVFl0MjhmRGg0OGlObXpaM3VvaVIyQ3U4cjc3Tm16ZUdYa1NIUmhHSVRm | |
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|
1928 | CkIvRUNrZ3E2U3BVcXluZVJTdThoSUtYVms4L3JPQTdQVkt1R0xhbXBlR25NR1B6SGhlUkVVVVJB | |
|
|
1929 | UUlDSGhUVWczZmVJRUIvVUNpbzEKc05LcEdZUUdxSkZkek1Oc0Y3RjUrMzU4K2NrTWRHeHB3S2NM | |
|
|
1930 | ZlJFVjZhZjgzbWJUNCtiTkV2ajcrNkp1M1RwSVRyRmgwN1kwTEZvdwpHVGRUaXZIdHQ5K2lSWXNX | |
|
|
1931 | TUpsTUdEaHdJREl6TTFHalJnMjNOc2pQbEpwanZFcG01ZDErdlY2UGhnMGJLcFBvQng5OGdONjll | |
|
|
1932 | K1AxCjExL0hqaDA3QUFBZGF0WENtdXhzM0N3cFFWMWZYd3lzWFJ0NlJvMy8zazFIVW9rUjlmVis2 | |
|
|
1933 | RkExRlBYOS9lQ3JVMEVRQ1ZuRmQyQSsKL0Q3YVB2NEVoa3ovSEZQSERZSTk2N3B6d0lDUzdhK2hC | |
|
|
1934 | RUNLUGdTLzlQbElhVTlFcUQrT0wrNkQvZWZ2NE1sSGEwS3I1aUFTZ1VRQwp3ekxPOUpXTXNvVWpp | |
|
|
1935 | aElSMngyQURZQ2FJNmhaZC9Ma1dBWUJPZzUyZ1ZCaUZSWER5TEpTc0k5YUltQnZFckNVeGhPd09z | |
|
|
1936 | aHQ4VmFKCkIwZmwwdVZ2Q3BFSUZxZEs3WCs5QXBYVmxXWFZ5NjRRU1NJN0ZRdVk3ZEpMcnVFQWZ4 | |
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|
1937 | MERqZXEzN3hmSmhHcDFRSElaZ3BSN1ZWV0cKWUJtbk5FQ0EyNzdYdlpDV2xvYmR1M2REZERFWjlY | |
|
|
1938 | RWFtWmg1MGV0S1Z6NldtWm1KN094c2FMWGFDcTlyMTY0ZE5tellnQmRmZkJFegpac3pBYzg4OWh5 | |
|
|
1939 | ZWVlRUxaTmhCRlFwR1pSNENQU3Bua01qSXk4TXJvMGVqTU1Balg2Ky9aRDFFVWNmMzZkVGdjRHZm | |
|
|
1940 | akpCbTl1VGJQClZTVnNMQzVHUjE5ZkdINzlGWFBmZUFOR294RW5UNTdFdUhIam9OZnJ2ZTVUc2l5 | |
|
|
1941 | RFdrRTZoWGhsK090VXFPS3J3cFoxcTdCaHhYaTgKTThPQ21mK3VncWhJclhNOHBPdTBXZzFpWTJO | |
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|
1942 | aHNaaVJmdWNPb2lLMStQZUxPcnoyUWdZZWE2eEM0dlhMOFBIeHdiVnIxOUNnUVFQNAordnIrYmhv | |
|
|
1943 | emp1TlFyMTQ5S2NjeHkrTEdqUnVZT25VcTB0TFNsR2YxYkZZV0Vnd0dXQVFCaVVZalBybDVFeXRT | |
|
|
1944 | YitKY1VTRktIQTVjCk1CVGg0K1FiNEVsRS9iQUF4TlFNZ0ZiZUFoSUZqT3NTaTViUjFkd3JacHlm | |
|
|
1945 | TXNzQ1B4OFZPQmJvOEVnTlpkK2NaUmh3SE92VmdJdUkKd0xFRVh3MmcxemdKbVNUcFhCQkxjNmt6 | |
|
|
1946 | REFPdGlrVVZQUWRkcVRjWlNtd2lpaXdDQkpHY0JDeTlPeFplZWxaY0lTOXFYUGYzSy9IZwpxSlI4 | |
|
|
1947 | LzZhdzJFVVE1QlgrLzRaOHk1SnVWbFlXdG0zYmhoRWpScmhKYS9MTGE3SVJCR2RDY3AybWZQWFpn | |
|
|
1948 | OVR2NmlyRU1aSTZtV1VZClJmM01lVm1OTTR4RS9MSkt1aUxlbC9kRk5Sb05acytlalhyMTZxRkJn | |
|
|
1949 | d1lBSk1sQncwbWtiK0VKR3BYVUJ0YzlRd0JvMkxDaGtteTcKckZXcDY3R25ubm9LdTNidHdrOC8v | |
|
|
1950 | WVRubjM4ZUxWcTBVSzRWaVZCaUYyRG1CUVNSR21Ba0lwMzErdXRvWkxFZ3NzeCtibmtvTGk2Vwpm | |
|
|
1951 | Ry9OcFpiSVJLVUdlbmFIQ0kySzlSZ1RzOW1Na0pBUWRQWHp3L3F0VzJHSEpISC82MS8vd3ZQUFAr | |
|
|
1952 | OTkzQ0NwZTB0c0R2aW9PV2hkCkxHSjNmYjhPNTQ0dHc5ZkxBaEFTclBKWUlNbFFxVGhFUjBjak16 | |
|
|
1953 | TUxWcXNOQm9NQjdWcFZSY2NuUWpCaHhrZlE2WFE0OU5NeE5HN2MKMk9zQ29DSVlqVWFrcDZjaklD | |
|
|
1954 | QUF0V3ZYZGp2SHNpenExcTJMNU9Sa01BeURGU3RXd0dhelllN2N1Ymg0OFNJQUlKQmg4RnlOR2pq | |
|
|
1955 | UAo4emlXbHdjRHp3TUFKa2RISTl0bXc4YTBOSWdnM0NneDRyR2dJREJnRkVxMTJXencwYXJ3NDRH | |
|
|
1956 | RDZEdHlJdlp2WHVGVU8zOEVWaC9pCjBWYTlWZzBWdzBCMW54dXJYSms1Z0FIQWNxVUdtWUQ3ODhj | |
|
|
1957 | eURQeDFLdWpVaEdLcjVKYmtjRXJCZWkwREh6VUxIN1ZFdmhZNzRLTWgKNVptUnBGL0pqa09udW44 | |
|
|
1958 | UGdFcTRvNUo4LzRZZ0lrWGwvTDl5ZUM5TFdsOTk5UlhtekptRENSTW1RQkFFcjc5UmNRelVqS3p1 | |
|
|
1959 | ZmZnWApWSEZoY25HM0tLdENsb3hwbkJNQzR6a2hzSXprL25TdlpzajdOMkZoWVdqUW9BR3VYTG1p | |
|
|
1960 | a0s4Z0V1RGNPYlE3U0pJQVhBcVVKY2VjCm5CdzBiZHIwdnF6T0gzbmtFVHp5eUNNdWZaV0RYZ0FK | |
|
|
1961 | ZDRyaG8rRlFJMEFMZ01HM1c3WWc3ZlJwREw1UDRoVkZFWGw1ZWFoVHB3NzgKL0VyVnU0SW9UY2dN | |
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1962 | QTZnNEZpSVJPS2JzZ2tXeVBzKzhjd2NOckZZYzM3Y1ArMCtlTEpmd0ZDTWx0V1RNSkJBaDEyaUhy | |
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|
1963 | NGJEN2VSRQpyRnZ6THRaOTdJK3FJZmVlY2xpV1JhMWFOUUVBUEcrSHYzOEFxbFJSWWRrQ1Bib08v | |
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|
1964 | amQ4L0JwaXpabzF5bmk1MWs5RVNFcEtRbEpTCkVnd0dBNTU2Nmlsd0hJZEpreWJod29VTHFGYXRH | |
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|
1965 | dUxqNHpGNjlHaVBlc3VxMHJWYUxhNWV2YXA4ZnpJc0RKU1hoOFpoWVRpV2x3Y0EKYUJJWWlBWUJB | |
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1966 | UWdYQkd4TVN3TUFKQm9sOG5XRjNFNGZqUXFONndSaGYra1pyMk9nMTBtU3I2dktkK0hDaGJoNzl5 | |
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|
1967 | NGVmZlJSZE9uUwpCZlhxM2R1WG1HRVlEMVU3RWNGaUYzRDBTaGJxaGZram9wb2ZlQkV3MjZXMm1H | |
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|
1968 | d0VHeThnd0ljcmw0RFZIQU83SUwxdjJrb1dlU2hVCkR0dmZFQmFubGFYS1M1Q0pQd3F1YzdQUmFN | |
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|
1969 | U0JBd2V3YnQwNmRPelkwZTA2bVR3azlkWnZXeFdUVThwMU9BMW5WSndzYVhxL3ZqenIKWjI5OWNH | |
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|
1970 | MnJIQUNqOURxSmVLcFZxMWJtdU9RYXhUQUVtME15NWxLN2pMOWMzcUZEaDlDNWMyZHdIT2RoWVh5 | |
|
|
1971 | djhaRFBzd3dRRWVLTApIS05rckZSY1hJeVBGaXhBWDE5ZmxCaU4wT3YxSHNSdXM5bGdOcHVWdlZ0 | |
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|
1972 | Wm1uTTFzaUtDUXJ4RUFCaHB3azAwR3BGa05JSUIwQzR3CkVQbjUrVENielFnS0NrTHI2R2hZaW9y | |
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|
1973 | d3laSWxtRFZ2bmtkL3kvYVJaUmt3QklUbzFVakp0V0RtbTVNeGFSd2hyTG9hYXpibVlleWsKMndD | |
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|
1974 | QWZWc2kwYVZqTUlpa1BXbTlYZytWU3VWR09FVFNZc1ptczhKdXQyUHlPTUsrazRFUVJWRjV6bHhW | |
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|
1975 | eitmUG44Zm8wYVBScUZFagpoSVNFNE9EQmcxaTZkQ242OSsrUG1KZ1lNQXlEd3NKQ2JOcTBTZmxO | |
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|
1976 | WVdHaFlsVXVnK2Q1aUtLSXJLd3NwWTdxdnI1Z2RUcndMb3ZOCnVrN0xkUitYZTJIeHNoaDF2VmNC | |
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|
1977 | dmhxbkJvbkJGNjg4QVovQWFqaC9LeDlmSHJ5QklwTVVGVTJ2VTNrOHIyM2J0c1d2di82S3ExZXYK | |
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1978 | NHNTSkUvamdndzhRR2hxS0pVdVc0TVNKRStqWXNTT2VmLzU1eFRpdVBEQU1BeDhOaDJaUlZmSDJ0 | |
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|
1979 | eGV4N1pjVVZBdjBRZjJ3QU5TdAo1b2VJNmdHb0Z4YUF5T3IrcUJPaWc0K2FnOVhoVHNBY3k0QmpD | |
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|
1980 | WGFCZnZQaStwK0tTdkw5bTRHY3p2TUE0S3Z4SGd6aWo0Q3I4UkRICmNUQWFqYWhSb3dadTNyeUpr | |
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|
1981 | eWRQSWlJaUF1M2J0M2ViakI4NmlwQlR5aFdjRnB3YTd2NzhjMlhDdHpvQWpybTNNWWlydXJpc2o3 | |
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|
1982 | SGQKYmtmWHJsM2RMSHBaaGdITEFSekx3dTZRQWhpNExqRGt2d3NYTGxRTWdWd2xzZ2NCd3pDb0dh | |
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|
1983 | U0Z2NDhLRE1OZ3gvYnRxR0czbzJwZwpJTTVkdVFKL2YzL1VyVnZYemFDTFpWbmN2WHNYZ1lHQlNs | |
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|
1984 | L0tSZ2tUbkh1OVVoMnlvUTRoc2RpSTNWbVpBSUNXUVVHb1diT20yK0tqCmhaOGZObTNlak1sVHAw | |
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|
1985 | THYzR3N1MjIvUHNTWGN1SElPYXR4Qzl5Y0R5NXdIMG03ZmhpQUVnZU5ZWnloT1FtQmdJRVN4Vk9J | |
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1986 | TEQ2K0wKakl5N0lBTDgvUHd4YWxodEhQbzVGVC8vL0RQYXRXdW4xQ1UvYzAyYk5zV2xTNWVVZXFw | |
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|
1987 | V3JZcjU4K2ZqOHVYTG1EOS9QZ0Jnd0lBQgptRFp0R2s2ZVBGbW12VkJDWUthbHBTRXFLZ3IxNjlm | |
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|
1988 | SHI3LytDb1poY05OZ1FOdXFWZUZ3ZVU3VTkzQ1BFNXozWGUreVArKzZ1R2dUCkc0cTZkZXVpZTlQ | |
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|
1989 | YUdQSjRQVHcxZHkrTUZoN0JmbG9QaWJWVHAwN28xS2tUQUNBaUlrTFo5amx4NGdTNmRPbUN6WnMz | |
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|
1990 | bzFtelptamIKdHEwU1NheGF0V3BvMkxBaDJyWnRpNzU5K3lyUEE4TXdzUEVDWmcxcWlwa0RtK0s3 | |
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1991 | bjI5aDdhRWIySHYramx1ZFFYb042b1VGSUxabQpBQ0xEQWxBL0xCQ042Z1FnS3N3ZkdvNkZoWmVz | |
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1992 | eWxXVmJrY1BqRXJ5L1p2QjVvelV3em1sc0Q4S3Jtcm01Y3VYNC8zMzM4Znk1Y3Z4CnpEUFB3R3cy | |
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1993 | bzJuVHB0aS9mejgyYk5pQVhyMTZZZlBtemZqdXUrK3diTm15QjRvRTVWcWYyMzR1SzdrUFBlZzI4 | |
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1994 | YjNVejBTRXMyZlAKSWpFeEVZbUppVEFZREZDcFZEaHk1QWo2OU9tRE9YUG1BSkI4UEh2MDZPRzFE | |
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1995 | c2tua29HRmwxeE5OR1h1USt2V3JUM3FsSDkzdnhCSgpza2dGR0RBa1l0MnFWV2poakxlczErdmg2 | |
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1996 | K3VMMU5SVTFLeFpVOWx2VjZ2VllGa1dnaUM0TFNSa1pibmdZbkFtK1h1S3pxQW83Z1RDCmNSeEN5 | |
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|
1997 | MWdSKzZ2VnFHazJZK2ZPblJneVpNaDk5MlBmanJVWTNOdjc4NkRSYXNEelBEaE9pK0RnWUtqVjBu | |
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|
1998 | VGtFQVJBWkJXU2tsWFEKTWdiMEVMSDF1NjhWOHBYN0kwdVRnT1R1dFdmUEhnd2JOa3lKTkNaZFI3 | |
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1999 | aHk1UW9LQ3d1VlkxV3FWRUZoWWFFU1pJTmhHTlNxVlF1QwpJQ0E2T2hxQVZPNXRyUmJkQWdLUVZW | |
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2000 | SnkzLzIzZTFtSXl0c01SSVFqUjQ3ZzJXZWZoVWJOSVNMVUg1KzgwQWFqbGgxRmVLaS94MVpQClhs | |
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2001 | NGU1czZkaTZDZ0lNVEZ4YUZLbFNyWXYzOC8vdjN2ZjZOZHUzWVFCQUU3ZHV4QTI3WnRrWmVYaDZL | |
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2002 | aUlyenp6anRJVEV6RTNidDMKUFRRbHB4SnpNR24xS1F4b0c0bFJUOFpnMUpPeCtDVXhHMThmU3NL | |
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2003 | ZXMrbmdCUkZGSmp2T0plZmhYSEtlMjI4NWxrRlVtRCsyVE8rQwpteVUyWEVySlEwek5BTVRXQ2tT | |
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2004 | SWY4V1NkeVVrVkpMdjN3aVNqNTJrMHZvanBWN1hsejRwS1FrN2R1ekF5SkVqOGQ1Nzc2RlBuejZv | |
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|
2005 | CldyVXFyRllyMXExYmg3Rmp4K0xGRjE5RVRrNE80dVBqTVhIaVJLOXhpU3VxeXpYMEkrZGxQL2RC | |
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2006 | SWF1ZlpkSnh4ZlhyMS9IU1N5L2gKeVNlZnhLaFJvM0QrL0hsb05Cb2NQMzRjSnBQcHZxT0RhVlVN | |
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2007 | YkE3SjUxSE5sVSt1cmtrZzdoZVNQNmJrQ3VLalluRCsvRGxZc3JKUQoyMG15UklUcTFhc2pNREFR | |
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2008 | NmVucENBa0pnWitmbjZLZGNHMEhMMGlHVUpsV0MzNHB5TWRsUXpHeWJGWUFRSFd0RnAxRHErTk1Z | |
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2009 | UUZ1CnVoREtyTXVYQVFEQkdnMFdOWkg4VXd2c2R0ek16c2FZMGFNeFpzd1lSRWRIbzBlUEhoZzhl | |
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|
2010 | REMyYk5rQ3U5Mk9DUk1tb0hidDJ2ancKd3creGRldFdKQ1Vsd1d3dXdjK1ArYUJPVFExYU5YTzN6 | |
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|
2011 | dVlkREtiTXVZTmQrODJvWFZPTmllTkNNYWhQRmVUbTVDSW9LQkRmZkcvQwptbzM1dUpGaVJXR1Jn | |
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|
2012 | SkFxS2pTSTF1SGxzZFZ3N3R4SlpaRjM5ZXBWZlBYVlZ6aDI3Qmd1WHJ5SXdNQkFhRFFhK1BuNUlU | |
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|
2013 | SXlFcTFiCnQwWkNRb0p5ajY1ZnY0N3UzYnNyV2dOdmFtZWRUb2ZpNG1JY1BIaFFrWWF2WkdiaTdk | |
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|
2014 | eGNkS3RldmNMN0o1ZVNZN1hDNGVXWjZOeTUKTTFpV2hTaUtHRFZxRkVhTkdvVVJJMFpnM2JwMWFC | |
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|
2015 | b3BHVi9WRGRGNzdBWXpEQU5mWDE4Y1BIZ1FDeFlzUUU1T0RsSlRVOEh6UE9iTgptNGUwdERUa09m | |
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2016 | ZWliOTI2QlNKQzkrN2RBUUNwcWFsdXo3V05GM0F4dFFBbFZoNWZIMHJDMTRlUzBEbzJGS002eFdE | |
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2017 | NXVIWW9HbTdECk4wZHVZdjJSRzdoYllFWlpDQ0loNlc0eFZ1eThpRGkvYk14NFl6RXNSYm1vSGhL | |
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2018 | QTBTUDZZZWl6ejk3WG52US9HWlhrK3plQ1haQW0KY3BhUkRGditDQWhPeVZOT2lCQVRFNE9QUC80 | |
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2019 | WURSbzB3SkFoUXpCejVrd3NYcndZcjd6eUNzNmRPd2VHWVdDeFdCQWFHb3ArL2ZyQgpZckhjVnoy | |
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2020 | dSs3bHljSUNIRGYxWUZyTDZtYnl3YjhPR0RkR3BVeWNrSkNTZ2NlUEdTRWhJd0xmZmZvc1JJMFpn | |
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2021 | NHNTSnluVldxeFhKCnljbUtaV3haWXBVc3VobVk3TkkyQU1PVXVpSzVobHkwT2FSNHVmZTdVT0lG | |
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2022 | S1FrQVFmS0gxcWxaWEx4d0FiVWNEcVVNanVQZ2NEamcKNStlSDZPaG8zTDU5R3lVbEpTQWlyL3ZV | |
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2023 | QUxENVRqcHVscFM0VGVnNU5oc1NpZzNsK3I3S3g3T3NWaXk4ZWhWMkp6bXhMSXVFaEFRawpKQ1Jn | |
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2024 | NTg2ZE9IandJQTRlUElnTkd6YmcrKysvVjlTK3Nqci96SGtUTGlkYTNNaVhDSmkxeUlyc1BBc1lC | |
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2025 | a2pQc09Qbk15bncwUklhCjFqZkN4OGNIK3c4WDQ4VHBFcVVQMmJrOHNuSjRIRGxwUkt2bXRaQ1Jr | |
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2026 | WUhhdFd2ajVaZGZ4cEVqUjVRNmMzTnpRVVRvMWFzWE9uVG8KZ0NWTGxuamNPNi85ZFZGZkZ4VVZJ | |
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2027 | UzR1RG1sT0l5cEFrc2d6ZUI1Sjk1QjhHUURuazVQeGc4bWt1T25JUm9sTGxpekJsaTFiMEtwVgpL | |
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2028 | L2o0K09ENDhlUGdlVjVwazhZWmlxMW1pSytIMWlja0pBVHZ2LzgrTm16WWdFMmJOcUZSbzBZSUR3 | |
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2029 | L0g0Y09IRlpXNkhPMHJPVGtaCktTa3B5djBxQ3lzdjRFWm1zZHV4WHhKejhFdGlEa0lEZFJqV3Zq | |
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2030 | NmU3UmlOVjNvMXh2NExHZmo2VUJLT1hjMTBjMDBUaXU1ZzFiUjUKYUJYSW9vZUZoOTBoSU1SU2pP | |
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2031 | dHIxMkxZdW5YbzgreXptUEhtbS8vemlIdC9GMVQ2K2Y1TklHZG1BU1FMNTk5YjZwWER6amxFejZR | |
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2032 | RApzclh2ckZtenNIdjNibHk0Y0FGMTZ0VEJsQ2xUa0o2ZWpwa3paMkxRb0VISXk4dEQzYnAxSzZ4 | |
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2033 | SGRBWUNzRHFrT3JXY1pDMVpYcUtECjN3S0IzUGRhNVFudy9mZmZoOVZxUmJ0MjdUeUlWNzdlYXJW | |
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2034 | aTh1VEplUHp4eDNIaHdnV3Y1YXM1S2R1TVhRRHlTeHpJS0xRcjkwZ0sKcXluSGs2NjRZNklvd21h | |
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2035 | endlNlFKRjZDbEl4QURsNS8vdFFwaExvUWFzMmFOY0Z4SE94Mk93UkJRRlJVRktwWHI0NndzREFF | |
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2036 | bEFtNgpRUVJrbWEyS1pQdGsxZExZeUIyclZzTWpBWUdZSEIyREhpNXE1dW5SRGZCNWZEd1dPcVhl | |
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2037 | TGVucDRKMnVSREdob2RpMmJSdEdqaHdKCkFMaHk1UXJXckZtRG9VT0hRcVZTS2NUYnNXTkhmUExK | |
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2038 | cHhneXFENDJmaEdKZXVFdVRxVk9xRlFNTm53V2pQT0hHa0tuazhabys5NHMKNkhRNkJBVUY0b1dS | |
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2039 | MVhEaHAwWW92QmtIWTBwVG5OclhBQ0ZWT0tsUDJjWEl5Y2xCY25JeWpodzVBb1poOE9XWFg4SmtN | |
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2040 | aUU5UFIzYgp0MjlINzk2OUVSWVdocDQ5ZStLTk45NEFJQkhzM0xsemtaR1JBWXZGQWxFVU1XblNK | |
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2041 | T1Zja3laTjBMMTdkN3o1NXB0SVMwc0RFY0hmCjN4OVBQZlVVMHRMU3NHelpNb2gxNjZKbi9mcVkw | |
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2042 | YUFCV3J0a0Rsc1JINDkzbWpSQlJGQVF6bFNyaG1VYk5zQmlzYUJEaHc1NDY2MjMKc0cvZlBwdzRj | |
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2043 | UUp6NXN4Qnc0WU4wYU5IRHhRV0ZrSVFCQ1ZhbDkycEFxb1o3S084NHphYnpjMVAyMnExb2w2OWVy | |
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2044 | aDkrelphdFdybApOcVp4Y1hFQWdHZWVlUWJqeDQ5WEZoUm56cHh4dTQ1bEdBL3lsWkZqc0dMWmpz | |
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2045 | dG9QWFViWHZ6MEdQUmFGVGErM2hsSDMrbURjVjBiCklFaXZnV2pNQm5meU0zU3dtZEdCMDZGWnRX | |
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2046 | QUVxdFNvN2VlTHg0T0M4S3lmSDQ2c1hZdDMzMzdicld4WGw3ZC9PaW9sMzc4SnBDUUMKMGdUNGUy | |
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2047 | Y1VrU1BkTUV5cHlsY1V5VzBQRFFBZWZmUlJEQnc0RUcrKytTWjI3dHlKcDU5K0dvMGJOOGFCQXdj | |
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2048 | UUdSbnBKam02b3V4Kwpyb29GZEw5UnRleFpoN1FYTG9neTZRSmduRmJTckNUTnlJU1ZtcHFLeG8w | |
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2049 | YlkrUEdqUmc4ZURENjllc0hRQ0puT2Nmc2poMDdFQlVWCmhkcTFhNk80MlBza3hUQU1mRlFNU3V3 | |
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2050 | RXJacUZsUmZoNnd4NElxdlJ5N3BwZHV6WVVRbm12M0hqUmt5Yk5nM256cDNEekZtejhmTXYKditE | |
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2051 | U3hRdkl6OHNGeTdLSWpJekVnSUdEa1hEK1BKNTJXckNlek12RDJ0dTNRUUI2cTFSSUlVSTZnQUNX | |
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2052 | UlZPMUdrMkRnaERxSXYzdQp6c3pFei9tU0twSUFYRFdXOXFXcVZvYzRmOGtseGlHVStvTXV1WmtJ | |
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2053 | dlZxTk9qNCs2RnV6SnBLTVJnQkFxRmFMT3dVRjZOdTNyN0t2ClRVU1lQWHMyVWxKU2tKcWFxaHk3 | |
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2054 | Y3VVS29xUFBBMFRvMDkyN2E5U2dQbjVvMTFLRnVuVjkwVGpXQjJjdm12SHpyN3ppOGxPcmhnb0wK | |
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2055 | UHN6QzhWOUtrSmx0Qis4U0o4Um90RXNSdFNJaVVLTkdEV1JtWnVLTEw3NUFabVltYXRldURUOC9Q | |
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2056 | d1FHQnVMQWdRUG8xS2tUVHAwNgpwYWlQRXhJU1BCWXBjcnZyMWFzSG51ZHg2TkFoS1hBRnh5RWxK | |
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2057 | UVdyVnEzQzFxMWJNWEhpUkR6MzNIUFl0WE1uMXExYWhhUHA2UWhtCldiQUF6QUNNR2cwR3YvUVMz | |
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2058 | aHMyRExWcTFRSUFGQlFVUUsxVzQ0Y2Zma0NmUG4zdzlOTlBvMGFOR3Zqb280OWdNQmpnNCtPanRF | |
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2059 | RWsKUWhVL0xhcm9TdzNwekdZelhuMzFWZkE4ajNidDJtSFhybDJZTVdNR2VKN0hxRkdqa0oyZHJi | |
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2060 | Ui8rZkxsV0w1OE9jTER3OTNjcVk0ZgpQNDRkTzNaZzM3NTlpSXVMd3l1dnZvclVIS05iL3gxM0w4 | |
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2061 | RjJiUmZFNHJ1QUtJQU5xbzBkR2IyeDUxdzZvc0lDOEs5TzBmaDMzMGZSCnA2RWFBL3RPUVVseE5u | |
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2062 | YVRpRjhzaFdnVFdoVU5mUFZLUUpDemhZVTRjUHMyOXMrYmh4cDE2dURZc1dQNDhjY2YwYkpsUzJ6 | |
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2063 | ZHVoVUEKc0g3OWVueisrZWU0ZnYwNjFHbzFtalp0aXZuejU3djV1N3UrTCt2WHI4ZnJyNytPR3pk | |
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2064 | dW9FdVhMbGk1Y2lWdTM3Nk4xMTU3RFJjdgpYbFFXMFJFUkVWNmZ0NzhjNkMrQXYwZ3ovdElvTlBH | |
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2065 | VVhXd25vOVh4dTVickVJZ3NQQkV2RUlraWtTaUtaT05GS3JZSXhEdEVFa1ZSCnVWWVVSWEk0SE5T | |
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2066 | MWExY2FQMzQ4alJvMWlwS1Nrc290V3hTSmVBZVJ4UzU5ZUlkMDdQZUNLSXJrRUtUMm1tMGltV3dp | |
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2067 | V2V3aTJSMGkKQ2M2S0JPYzFydjM0OE1NUDZjVVhYNlF6Wjg3UWp6LytTRVJFTnB1TnNyS3lhTXlZ | |
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2068 | TVpTYm0wdjUzd1czZFFBQUlBQkpSRUZVK2ZuMwoxUWFMWGFEc1lqc1ZtQnlVWDhJcmRacHNJdkdD | |
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2069 | WjJjN2RPaEFETU9RbjU4ZitmbjVFY013eExJc3JmNzZHK1YvK2NNd0RERU1RMEYrCmZ2UjVzMmEw | |
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2070 | TWo2ZVJvV0hFd0JpQU5KekhESE8vK1ZqQS9WNmVxOStmVm9aSDA4RGE5ZDJPMS8ydzRHaEFUVnIw | |
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2071 | K2ZONHFtcVJ1TjIKVHY0ZDUvSTl2a29WOGxPcGlHRVlDZzRPZHIrZVlVaXYxN3Q5WnhpR2F0YndJ | |
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2072 | OU9kT0RKbk5DVXhKNTYrV2g1T0RBTmlHTkNHejBJbwo0U2NkRmQyc1QyMWE2SWhoUUxYQ1FOZVAr | |
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2073 | OU9WSTc3MDVPTmE1VnFXbFQ3eWQ3MnZtbTdjdUVGRVJPdldyYU9Ra0JDbFRua2MyN1ZyClIrdlhy | |
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2074 | eWVUeVVSejVzeFJqdCsrZmR2dG5zeWRPNWNZaGlFQXRISGpSdXJWcXhmNSt2b1NBSHIwMFVlSmlP | |
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2075 | ajY5ZXMwZE9oUWorZnYKMHFVRU9uandJTzNidDQ5T25UcEZWcXRWZWRiNjlPbERETVBRMUtsVGlZ | |
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2076 | Z29QajZlTGwyNnBQdytQajdlb3kxMmgwaFpCanM1eWp3NwpseTlmcGcwYk50Qzc3NzVMaHc0ZEly | |
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2077 | dmRUa1JFb2FHaGJtTXVQenVSa1pFMGI5NDhwVi9Cd2NIS2VYbU1lazcvbWdZc1BrUzlGKzZuCjJH | |
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2078 | N2pTUEk3WXdnTUszMmMzNnUwRzBmVlIyMmdvT0hycUVxM1djUnlLcmRuUlA0LzFzK2ZWalNMVjU1 | |
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2079 | VCtaenJjLzdNTTg4UUVkRXIKcjd6aWRxL2tkbkVjUjN2MzdxM3dmWkUvYmR1MnBXclZxcmtkYTlt | |
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2080 | eTVmMjh0cjhySHBhLy9oS3NWMG0rRmNQdUVDbTcyRTdaeFhZUwp2RXpvRHdOUkpMSTdpS3c4a1Z5 | |
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2081 | a1F4Q3B4Q3BRc1VXZ0VxdEFCb3ZnUmxwRVJBYURnZUxpNHFodTNicTBlZlBtY3N0MkNFUm11MVMr | |
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2082 | ClEvajlTRmNVUmVJZElsbnRFc0daYkNKWmVkRmpvZUFLdS9PY2ZMNjg2MUpTVXVqa3laTnVkUW1D | |
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2083 | NXhpNElxZllUbW41VnNvdjRhbkkKN0NCUmxOcG1zWHR2anp5Wk1BeERUejc1SkIwKy9nc2xwV2JT | |
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2084 | VDhkK3BuMC8va2paMmRsVVlyYlJwV3UzcVAvQUljcmsrWEhUcGg3awpHNkxSMEtUb2FCcnA2MHRx | |
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2085 | aGlFR29CWTZIYjBUR1VrcjQrT3BubDVQREVDQktqVTlYN2NlVGE0ZlRjRnF0UnRwK3F0VU5Ebzh3 | |
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2086 | dTNZCnBLaG9HaDBSUVJxV2RTUGo2bG90K2F0VUhpU3UxV3FWZHNvazBMcDFhMklZaGxRcWpvcHZQ | |
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2087 | VVppVHJ3YitiSXM2S3VsR3JwKzNJOVMKZjYxR2o3ZnlJWVlCUmRSUmsvVk9FN3IrY3lPRmFGOSty | |
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2088 | aHJsWG4rTUtEZWVvdXRKaEt6VnFzamhrQmFpRGtFZ2c4bEs1ODlmb0hYcgoxbEduVHAySVlSZ0tE | |
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2089 | UTFWcnBHSnFEenlCVUFzeTlLV0xWdW9aOCtlMUtoUkkybUJ3bkdVbloxTk0yZk9wRHAxNm5qY1Q5 | |
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2090 | NGhLQXU5CnNqQ2J6WlNZbUVoeGNYRjA5ZXBWcWxldkhpVW5KeXZuNjlhdFMzZnUzSEg3alkwWEtN | |
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2091 | dGdweEpieGMrZGpMeThQSHIyMldmZCtyWjMKNzE1cTFxd1poVHVmRlFEVXBFa1RPbjM2TlAzNDQ0 | |
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2092 | L0s4L2YyNG84b3kyQ25zMWVTU2FmVEVjTXdOR1Q0ditqc2xXUTZkL1VXZGVuZQpreGlHSWYrQUFF | |
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2094 | R281R1NrcExvCjlPblRTaHRtekpoQjJkblpkT1BHRFdyZXZEa3hERU1SRVJGZTM1ZHg0OGJSelpz | |
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2095 | M3FXWExsc3F4eHg5L25LNWZ2MDRqUjQ1MFBtOHEKS2lnb3VPZTQvWjU0V1A2cTNQUDlHOERzdEhE | |
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2096 | MlViTWVXVVllQm5KY1pJSlR6UXdwRVlMWlhwcDRXemFFS3V1ZXVtelpNblRyMWcyMwpiOS9HNE1H | |
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2098 | M254dlJWRkVSRVNFCm0xOHZ3MGh4ZnNzclZ4QWxZeXVXa2FJNmFWV01sTUpRSldkUktyL1RETU5n | |
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2100 | dTJiKy9xak84d2pUYUZDVjQwQUEwaHdPNkhRNkdIa2VLU1lwdlYrTXZ6OVNyU1ZRTVF4YQpCTHVI | |
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2101 | TWpRNUhMaGlNTGdkS3haNHRBNE9ScFJlNzJhTWxXT3p3ZTZNZGExU3FaVCt4Y1RFS0gyU2orWG41 | |
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2102 | MHRaZHh3QzNuem5Mbzc5Cll2UjRCdXJWaTBCc2JDekN3K3NxUmprTXkwQ3IxY0JRWE9vWHBmZVZM | |
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2103 | SkUvL0N3Yk4xT2tjZEJvTk9BNERxbnBHWmc2YlRyYXY3Z2MKdW9BUTlPalpFeTFidGxUYWNQZnVY | |
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2104 | WWhFYU5Tb01RRHBuaC82NlRBRUY3K3JHemR1dU4wWGhtSFF1WE5uTUF3RFFSQVFHeHVMMU5SVQpx | |
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2106 | My9GNUNlS1pOTmdJMFhZZVZGCmlDS0JGMFNQK01veVFrSkMzTHdMaUFqZHVuWEQwYU5IMGFOSEQ2 | |
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2107 | VS9reVpOUW9zV0xkQ2xTeGNFTy9lcGQrNzVFV2R2NXVMN1hRZGcKY3o1Zld6YXVSL05INmlPK2NS | |
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2108 | UU83Sk95Y3BVWWpVaThlaG41ZWRtNGRWTWFxeEFmSDdTclZnMDFmSHp3ZFBWU2U0RWJYb3pSUW9P | |
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2109 | RAo4ZHh6enlrR2dvY09IVkxPTFY2OEdHRmhZWWlKaWNIWnMyY0JBTGR2MzBabVpxWmJHUXpENEsy | |
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2110 | MzNrSlVWSlJiN3VZSkV5WWdOallXCkF3WU1rTVpQRU55U2wveVZVYm5uK3hlSFE1U0lFZmg5UWtr | |
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2111 | S3pnaFFLbGJ5Rlpiem5vcms5QVYxL2kwdjg5Q3NXYk04ckNmbGVVSE8KMmZ0N3BPOHJ1My9MTUZK | |
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2112 | NzVUM3BCekU0WXhnR0dwV1UrVWpMZVFiRkFOd3RRbVZTdmxjZEpUWUJWWHc1K09rNEtUNytBN1Fw | |
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2113 | SUNBQQo4Zkh4U2lxNFRWdTJZUGJzMlVxOXNxR01VaGZQQXk1N2d3d0FmVWtKY2l3V1JFWkd3amNs | |
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2114 | QlhBNHdEdmRVUzRXRlNuWDF2RFJZY2ZkCnV6aVlrK1BodmhJWFZBVm1VWEFyZDAxcUt0YWtwaUxN | |
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2115 | SlZLU2ltSGdJSUxOU2I2eUFWQ3RXclVRRnhlSHkwNzNwTWNlZXd3WExseHcKSTdUbC84bEYvR042 | |
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2116 | UE5HNjFBMm52SmdqOHZHV3pmU0lyYTlENGswcjN2OGtHKzkva28wQWZ3NTFhbW1RZHNjT3RVYVA3 | |
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2118 | YmozcEtlbkE1QVdZQk1tVElESlpFS3ZYcjBRCkhoNk8yN2R2dzJBd1lPUEdqU0FpakJneFFvbmJE | |
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2119 | VWdCTXh4bGZMMExDd3VoMFdnVVlqMXc0QURXckZtRC9QeDhmUHZ0dDJqYXRDblcKcjErUHhvMGJL | |
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2120 | N21kWmNpWmh6aU9nZFZCc05nZFRzTSthWUhKc2M3VWhTaTF5M0NGL0F6cTlYcUVob1lxeDF4OW9u | |
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2121 | MThmQUVVNEU1bQpMaTZrNUNIeFJyTFhNbHh4OTI0NmJDNSs0aHluUnI3UkNwRUlWVjBDdVJUYTdl | |
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2122 | NzNFMEM5eUVpM1k3ZHYzNjZ3THZrYTE0eFZvYUdoCnluZDV6QmlHUWJObXpRREFiUS9mVUdZeCtW | |
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2123 | ZEZwZVQ3RjRjczllcFV2eTMzcmFzMXM0YVRJa0RaSEtJaTdjcnhrKytWZWNpZHBFcjkKZE9YZnFo | |
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2125 | UFYzU2RReUQ0NlRnbAp2WnZydWJJUVJkRXRRMUtWS2xVa3lab0JqRllCbjM3OENRQXBjdEdWSzFj | |
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2126 | Z0NBTGVkckVVbFlQNHV5SXFQQndOR3phRVRxY0R4N0pTCk1IMW5PK3E1U0ZUNU5oczZoWWFpcnE4 | |
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2129 | NHRDOG1RNGZMd21GbnpOLwpSNEZGeExNZkhNS2FveG5ReGp3RlhiVkljRG8vUUtVRFU3VUJJaDRm | |
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2131 | K09tbm56QjE2bFEwYXRRSUxNdkMzOThmVHo3NXBGc01hQWFTMWJ2clBjL056VVduVHAwUUZ4ZUgK | |
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2133 | R280QlB1cDRhZmo0S05obFRTVwpBc2tTTndNQzQ3YWdraGF1NUl4RFhncjVmaENSa29RaE1zd2ZF | |
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2136 | L0gKL3c2b2xIei93cENUMFFPQXI1Y0U3dmVMc3RiTWdsUGFsZWVMQjhrOEpFdWhjb3hnb29kWEs1 | |
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2138 | a0pnb0JidDI1QkVBUTBhTkFBRm9zRkxNc3FVYWU4K1ZySzhOZHhLQ3dzCkFDQ1JtcisvUDQ0ZE80 | |
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2139 | YVZLMWNxMStTWGtTanVCWCsxR3BGNlBWSk1KbHdwTHNhb2lBZzByMUlGWDZlbUlzY21UWllSckFi | |
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2140 | QkdnMkMKZWFjbUFJQ2ZTb1U1alJvaDFXVEMydFJVRUlBd25RNTE5WG84RnhtSlM4WEZzQWtDL1Az | |
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2142 | OEZNLzAwSUMzODlEck9RaWlDSTVsOGRNMnp5VDJqejNpaTlWTEl6QnRhaEhVCkhBdFJCR3JVNURE | |
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2144 | ZlFZT3gvQVIKenpxMUZLWDVrZWZPbll1NWMrY0NBSTRjT2FJUTZmYnQyN0Z0MnpZUUVlYk1tYU5F | |
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2145 | UDNPRnZHaDFEYUlTRXhPaitPODZIQTc0K3ZxQwpaVmxVcjE0ZHExZXZSbVptSmdJQ0F0Q3dZY015 | |
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2148 | b0hWQllJTkNJTlkKbkFXUkhQaVZNU05jOE1PMjlJelN2cnNrOEpCcmQ3VmVCcVF3bWJKbVovYnMy | |
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2149 | ZEJvL28rOTd3NlBvbXJmdnMvTWJFc3ZKSVNXQktRRgpoQkNLMHBzZ0tLS0NJa2dIQlVFQjhaV21W | |
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2150 | QUZSVUFRRktVRlVSRDhFa2FxQUZPa2RsRTRnOUNSQUlLUnV0czdNK2Y0NE03TzcyUTBrCmdJcitj | |
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2151 | bC9YWHRuTW5qbHpwcDNuUE8xKzlLaFhyeDR1WDc2TURSczJZT3ZXcmRpNmRhdlh0ZjZ2b1VUNFBz | |
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2152 | SlFPWndOd3YyWDQzTTMKTTNOd0Zia0hYUDRxVm9tbWNHR25wZ3FwN2RXSmhpUHdwcEM2QjJSVjRD | |
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2153 | cHBSMFRwajVVRy9Hc0oybFh5alh0eFAvT0trRlluUWwrOAp0WGsyQ1lGRzlvTW9pbmorK2VkeDRj | |
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2155 | eHBDY0hCdUp5Zmp4eW5FMThvWnVCQUpRV0pBUEF6R1dCMWlHaGV2aXpPaWxZazU1dHhNaWNISnhX | |
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2157 | bEpLVVU5ZXZYUjFibUM1Z3dZdzJtdlIrQzBKQVFaR1ZsSXpVMQpCU0VoSVNoZHVqUlNVOU1RRWhL | |
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2158 | Q2dBRHZHc1dWeXdSREZDa21UTS9CazArOGpFbkRlM20xMFFrdWpXdjF1SFo0WWNvbTdEbDlFMi9N | |
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2159 | CjNZVmZEbDNGN0RlYXdHalFJOWNxUWFaQWlJbnplZjlidEdpaCtSU0hEUnVHb1VPSGdsSmE2T0tK | |
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2160 | Z3VYZkI1czhIeEs5WHUrbDFRSkEKZEhUMFhYUGhIYUxzSm56aDVTWlE0VnBBQUczY0dMTUdEK2lI | |
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2161 | d1FQNm9YdVBIcWlzK0lLcEc4V2xuMEhRaUR3cWxnN0V1ckZ0UVdrYgpUS21WajBuanhvRG0zNEox | |
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2162 | MTJmcXlUSHdyaHh0WS8wK3NPNzRGSkFsSkdYZXdZZVpyb1ZYdGNCQTFBOExnME9XY1VYSjV5V0Vl | |
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2163 | RjJICkJnMGE0SzIzM3NMY3VYTngrUEJodEc3ZDJ1TjNsVmZBSGI2c1NYZXpZUDBiVUdKMmZrVEJm | |
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2164 | TEd1QWdyRlJVRXpNeWdMcUhKS0xtR3EKVTB6TWhrSk16Q29MbFYyRUpyQVphVVRST1pjcHBaQVZj | |
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2165 | N0xWeVV6S2FqQ1hRV0FtWmIxaVV2OHJCYThLeHYyc0JKd1Y4dktxa3pKUApLSnpLUWtFMWkxc2RF | |
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2167 | MzNYVzJmCmRNSnFGaGYxR2xGSzBUWXFDaDNMbEVHNFhvOWduUTVOUzVWQ0h6ZVRuOER6SUdDMVhR | |
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2168 | ZkdQb1lPcGN1Z2dza1BCbzVEcUY2UDZrWWoKL2hjYmk2b0tyZVZGczFtallYUTRIRXBBbFFoL2Yz | |
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2169 | OU5zNW8xYXhabXpwenA1VmNmUCtFak9FZ3IvRzlpRmpLelJJU0docUJDaFFvdwptL054K3N3WjVP | |
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2170 | Ym0rQlM4aEFDNXVSSkdUODZCSFMweGNkTDBlNTY3VWNlaFd6TlhFTkw2UTFmUjZIK3JzUFhQRkcw | |
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2171 | QldaQ0FwVENvCjV1akNyakZBb05meGNFalVxei8xbXZqNnlNcUh1djIxT0dRdEVKSVFvdkNiRXhn | |
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2172 | RkFqOGRRWUNlUTZDQlE3Q1JRN0NKUjVDUlI0Q0IKUjluSU1Iejc3YmNlSm5WM1YwakJaOGJYTS9q | |
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2173 | K21KSDRaY01tdEdyZEJ1WEtsb08vbng4ZXEvd1lYdTdTQlovUC93by8vSzhGSm5WTAp3SlJoUGJG | |
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2174 | dDEwRzBldnBaNklNaUFFNEhqdGNqMUJDSUdsRlIySkNYaDIvejhpREV4Ulg2ckFPTUwzN1pzbVZv | |
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2176 | QU1pM1M4aDN5TkR6QkNGK3hUTlFVQ1dhbVJCQUlCUjIKaVVKMDAzWTV3bnlvUWlIbENGV2hLOHBL | |
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2178 | a1pGbjA0Z3pPTUo4endFR0RxSCt3ajNQeCtsMElpVWxCVGFiRFRWcTFQRFpKak16RS8zNzkwZlBu | |
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2180 | b0RGN2wzNnpxQnphWVEybXcxWldWbUlpb29DSVFRLzUrYmkKM2JselVhOWVQVXlhTkFtbFNwWFN6 | |
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2182 | WXpjM0N5a3BGeER6Wm8xdlRRa2gwUEdiOXR6OGZsWE1obzE3WUlKRTZaQ3A5TWhNVEVSaHc0ZHd1 | |
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2183 | M2J0NUdlbmc2NzNZNzkrL2Q3CmxOTDc0OEp0TkJtNTF1djh1cmVzaWtrOUd5REFwRWVnZ2J0djk0 | |
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2184 | YjZqT2ZaWlVneVZhcHZNVHBRTlNDS2NaYXpCWnZxMmpFSUhBaFIKbmlIVnp3M2k4bm1EN1p2dm9P | |
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2185 | d2RmUWpaRFlXQlJWS3pCU1pWckZBQ3ozell2cXhRNmdLYUk0Q2ZIc2d5TzVCOEl4ZEpLWms0ZS9K | |
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2186 | UApOSzVvZ2w2dlI5MjZkUkVWRmZXWGpmdFJ3LzNLcnhMaCt3aENwaFIzekNJb2dCQVRyNW1KaWdK | |
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2187 | M016TlZJcVVwM0V6TUFvRytrRFFZCjkxSit2SnV3TEFwOCttL2QrbmpZSzlLVWxCU2twNmNqSmlZ | |
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2188 | R0VSRVJ4ZDVmbENnY01vVWt5WENLRkE3dEw0WEFFZmdiQmRpZEVteE8KR1VFbUhmUUNoNHc4bG82 | |
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2189 | aGF1bEdnU0F5U0hmUGM3TmFyVmkyYkJrV0xseUlnd2NQQW9DbU5lcVVTa1dpS0tKaHc0Wll1blFw | |
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2190 | NHVMaQpNSEhpUkZpdFZnd1pNZ1RSMGRINDlkZGZNZmVkZDlESkxhcFRsbVdrcGFVeHBpMlRDVHFk | |
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2194 | V3VRbTV1TAo2ZE9uYTlXZEFDRHRUajRxdjc3TTUzbkhsZzdFRjRPYm8zNlZTTStvZnVvWmphMTVX | |
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2703 | </png> | |
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2704 | </output> | |
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2705 | </outputs> | |
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|
2706 | </codecell> | |
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2707 | </cells> | |
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2708 | </worksheet> | |
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2709 | </worksheets> | |
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2710 | </notebook> | |
|
|
1 | { | |
|
|
2 | "nbformat": 2, | |
|
|
3 | "name": "text_analysis", | |
|
|
4 | "worksheets": [ | |
|
|
5 | { | |
|
|
6 | "cells": [ | |
|
|
7 | { | |
|
|
8 | "source": "<h1>Text Analysis Using NetworkX</h1>", | |
|
|
9 | "cell_type": "markdown" | |
|
|
10 | }, | |
|
|
11 | { | |
|
|
12 | "source": "<p>This notebook will analyze a plain text file treating it as a list of\nnewline-separated sentences (e.g. a list of paper titles).</p>\n<br>\n<p>It computes word frequencies (after doing some naive normalization by\nlowercasing and throwing away a few overly common words). It also computes,\nfrom the most common words, a weighted graph of word co-occurrences and\ndisplays it, as well as summarizing the graph structure by ranking its nodes in\ndescending order of eigenvector centrality.</p>\n<br>\n<p>This is meant as an illustration of text processing in Python, using matplotlib\nfor visualization and NetworkX for graph-theoretical manipulation. It should\nnot be considered production-strength code for serious text analysis.</p>\n<br>\n<p>Author: Fernando Perez</p>", | |
|
|
13 | "cell_type": "markdown" | |
|
|
14 | }, | |
|
|
15 | { | |
|
|
16 | "cell_type": "code", | |
|
|
17 | "language": "python", | |
|
|
18 | "outputs": [], | |
|
|
19 | "collapsed": true, | |
|
|
20 | "prompt_number": 1, | |
|
|
21 | "input": "%run text_analysis.py" | |
|
|
22 | }, | |
|
|
23 | { | |
|
|
24 | "cell_type": "code", | |
|
|
25 | "language": "python", | |
|
|
26 | "outputs": [], | |
|
|
27 | "collapsed": true, | |
|
|
28 | "prompt_number": 2, | |
|
|
29 | "input": "default_url = \"http://bibserver.berkeley.edu/tmp/titles.txt\"\nn_words = 15\nn_nodes = 15\nurl = default_url\n " | |
|
|
30 | }, | |
|
|
31 | { | |
|
|
32 | "source": "Fetch text and do basic preprocessing.", | |
|
|
33 | "cell_type": "markdown" | |
|
|
34 | }, | |
|
|
35 | { | |
|
|
36 | "cell_type": "code", | |
|
|
37 | "language": "python", | |
|
|
38 | "outputs": [], | |
|
|
39 | "collapsed": true, | |
|
|
40 | "prompt_number": 3, | |
|
|
41 | "input": "text = get_text_from_url(url).lower()\nlines = text.splitlines()\nwords = text_cleanup(text)" | |
|
|
42 | }, | |
|
|
43 | { | |
|
|
44 | "source": "Compute frequency histogram.", | |
|
|
45 | "cell_type": "markdown" | |
|
|
46 | }, | |
|
|
47 | { | |
|
|
48 | "cell_type": "code", | |
|
|
49 | "language": "python", | |
|
|
50 | "outputs": [], | |
|
|
51 | "collapsed": true, | |
|
|
52 | "prompt_number": 4, | |
|
|
53 | "input": "wf = word_freq(words)\nsorted_wf = sort_freqs(wf)" | |
|
|
54 | }, | |
|
|
55 | { | |
|
|
56 | "source": "Build a graph from the n_nodes most frequent words.", | |
|
|
57 | "cell_type": "markdown" | |
|
|
58 | }, | |
|
|
59 | { | |
|
|
60 | "cell_type": "code", | |
|
|
61 | "language": "python", | |
|
|
62 | "outputs": [], | |
|
|
63 | "collapsed": true, | |
|
|
64 | "prompt_number": 5, | |
|
|
65 | "input": "popular = sorted_wf[-n_nodes:]\npop_words = [wc[0] for wc in popular]\nco_occur = co_occurrences(lines, pop_words)\nwgraph = co_occurrences_graph(popular, co_occur, cutoff=1)\ncentrality = nx.eigenvector_centrality_numpy(wgraph)\n" | |
|
|
66 | }, | |
|
|
67 | { | |
|
|
68 | "source": "Print summaries of single-word frequencies and graph structure.", | |
|
|
69 | "cell_type": "markdown" | |
|
|
70 | }, | |
|
|
71 | { | |
|
|
72 | "cell_type": "code", | |
|
|
73 | "language": "python", | |
|
|
74 | "outputs": [ | |
|
|
75 | { | |
|
|
76 | "output_type": "stream", | |
|
|
77 | "text": "Number of unique words: 9265\n\n10 least frequent words:\n rosenhouse's -> 1\n reconstruction, -> 1\nparameterization -> 1\n benda) -> 1\n reconstruction: -> 1\n payoff -> 1\n electricity -> 1\n kalman-bucy -> 1\n clark--ocone -> 1\n m-estimators -> 1\n\n10 most frequent words:\n large -> 421\n process -> 428\n markov -> 440\n equations -> 471\n limit -> 518\n brownian -> 536\n model -> 542\nstochastic -> 1000\n processes -> 1087\n random -> 2356\n\nGraph centrality\n random: 0.474\n limit: 0.336\n stochastic: 0.312\n walks: 0.307\n process: 0.297\n processes: 0.259\n theorem: 0.251\n time: 0.232\n equations: 0.213\n model: 0.209\n markov: 0.197\n large: 0.19\n brownian: 0.125\n models: 0.107\n percolation: 0.0852" | |
|
|
78 | } | |
|
|
79 | ], | |
|
|
80 | "collapsed": false, | |
|
|
81 | "prompt_number": 6, | |
|
|
82 | "input": "summarize_freq_hist(sorted_wf)\nsummarize_centrality(centrality)" | |
|
|
83 | }, | |
|
|
84 | { | |
|
|
85 | "source": "Plot histogram and graph.", | |
|
|
86 | "cell_type": "markdown" | |
|
|
87 | }, | |
|
|
88 | { | |
|
|
89 | "cell_type": "code", | |
|
|
90 | "language": "python", | |
|
|
91 | "outputs": [ | |
|
|
92 | { | |
|
|
93 | "output_type": "pyout", | |
|
|
94 | "prompt_number": 7, | |
|
|
95 | "text": "<matplotlib.axes.AxesSubplot at 0x334b250>" | |
|
|
96 | }, | |
|
|
97 | { | |
|
|
98 | "output_type": "display_data", | |
|
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99 | "png": 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IyMrKiqZNm0Z2dnZka2tLU6dOpTFjxrxxnUREkyZNonHjxtHAgQNpxowZNHXqVDFPbm4u\nzZkzh7799lvq3LkzffPNNzRt2rQ31k1eSFCRJgt7LyZMmEBKSkq0bNmy910VJgcUFBQoPj6eVFVV\n33dVWA3glvxHgK/DjLHK4iD/EShPqoKx8uJz6dPC6RrGGJNjZbbkHzx4QD179qS2bduSsbExeXl5\nEVHxgzclJSXS0dEhHR0dmaHxLi4u1Lp1a9LU1JTpjhcTE0MdO3YkVVVVmjdv3jvaHMYYY9LKbMkn\nJSVRUlISaWtrU2pqKunp6dG1a9do/fr1pKioSNOnT5eZPyUlhQwNDen48eOUkJBA06ZNE31US57s\n9+7dm8zNzWnDhg3UuXPnd7t1jDH2iSvzdW1Nmzalpk2bElFxX+C2bdtSZGQkEb35YWB4eDiZmpqS\nsrIyKSsrEwDKysqir7/+mm7evCnehz106FAKDw/nIM8YY+9Yud/JGR8fT9evXyd9fX06d+4cubq6\nkre3Nw0ZMoTs7OxIUVGRIiIiSENDQyyjpqZG4eHhpKKiQo0bNxbTNTU1ac+ePWRvby+zDn4gxBhj\nlVNaUqZcvWsyMzPJwsKCnJ2dqU6dOmRra0sJCQkUFBREt2/fps2bN5e6kjcF7rKe9aL4pWnV9m/R\nokVcJpf5yZT5MdTxUy/zXfwry1uDfH5+Pg0bNozGjh1L5ubmRFT8ciaJREL16tUje3t78vPzI6Li\nl3DduHFDLBsbG0u6urrUqlUrmaH5N27cIAMDg7etmjHGWBWVGeQBkI2NDbVr146mTp0qppe8a6Og\noIC8vLzIzMyMiIpfDBQUFET379+nkJAQUlBQEO+FUFdXp3379lFqair5+flV+Y2CjDHG3q7MnPz5\n8+dp9+7d1L59e/G6zpUrV9LevXvp6tWrVLt2bTI0NCRbW1siKn7lp62tLZmYmFDt2rVFGoeIaO3a\ntWRlZUVz5swhS0vLGnvoamxszGVymZ9MmR9DHT/1MmvaBzUYSiKRvDW/xBhjTFZZsZNfa8AYY3KM\ngzxjjMkxDvKMMSbHOMgzxpgc4yDPGGNyjIM8Y4yVom7dBuLvOVT2X926Dd7rNnAXSsYYK0Xxa1mq\nGpPefVzjLpSMMfaJ4iDPGGNyjIM8Y4zJMQ7yjDEmxzjIM8aYHOMgzxhjcoyDPGOMyTEO8owxJsc4\nyDPGmBzjIM8YY3KMgzxjjMkxDvKMMSbHOMgzxpgc4yDPGGNyjIM8Y4zJMQ7yjDEmxzjIM8aYHOMg\nzxhjcoyDPGOMyTEO8owxJsc4yDPGmBwrM8g/ePCAevbsSW3btiVjY2Py8vIiIqLMzEwyNzcnZWVl\nGjx4MGVlZYllXFxcqHXr1qSpqUmhoaFiekxMDHXs2JFUVVVp3rx572hzGGOMSSszyH/++efk7OxM\n169fpwMHDtD8+fMpMzOT3NzcSFlZmW7dukVKSkrk7u5OREQpKSm0adMmCg4OJjc3N3J0dBRlOTk5\n0axZsygyMpLOnDlDUVFR73bLGGOMlR3kmzZtStra2kRE1KhRI2rbti1FRkZSREQE2djY0BdffEHW\n1tYUHh5ORETh4eFkampKysrKZGRkRABEK//mzZtkYWFBDRs2pKFDh4plGGOMvTvlzsnHx8fT9evX\nSU9PjyIjI0ldXZ2IiNTV1SkiIoKIioO8hoaGWEZNTY3Cw8MpPj6eGjduLKZramrSxYsXq2sbGGOM\nlaJWeWbKzMwkCwsLcnZ2pq+//poAlHsFEonktWllLb948WLxf2NjYzI2Ni73uhhj7FMQEhJCISEh\n5Zr3rUE+Pz+fhg0bRmPHjiVzc3MiItLV1aWYmBjS0dGhmJgY0tXVJSIifX19OnnypFg2NjaWdHV1\nSVFRkZKTk8X0GzdukIGBwRvXJx3kGWOMve7VBvCSJUtKnbfMdA0AsrGxoXbt2tHUqVPFdH19ffL0\n9KScnBzy9PQUAVtPT4+CgoLo/v37FBISQgoKCqSoqEhExWmdffv2UWpqKvn5+ZG+vn5VtpExxlg5\nSFBG7iQ0NJQMDQ2pffv2Iu2yatUq6tatG1lZWdGVK1eoY8eOtHv3bvr666+JiGjjxo3k6upKtWvX\nps2bN1OPHj2IqLj1bmVlRenp6WRpaUmrVq16vTISSYVSQYwx9i4Vx72qxqR3H9fKip1lBvmaxkGe\nMfYhkYcgzyNeGWNMjnGQZ4wxOcZBnjHG5BgHecYYk2Mc5BljTI5xkGeMMTnGQZ4xxuQYB3nGGJNj\nHOQZY0yOcZBnjDE5xkGeMcbkGAd5xhiTYxzkGWNMjnGQZ4wxOcZBnjHG5BgHecYYk2Mc5BljTI5x\nkGeMMTnGQZ4xxuQYB3nGGJNjHOQZY0yOcZBnjDE5xkGeMcbkGAd5xhiTYxzkGWNMjnGQZ4wxOcZB\nnjHG5BgHecYYk2Mc5BljTI6VGeStra2pSZMmpKWlJaYtXryYlJSUSEdHh3R0dCggIEB85+LiQq1b\ntyZNTU0KDQ0V02NiYqhjx46kqqpK8+bNewebwRhj7E3KDPITJkygwMBAmWkSiYSmT59OV65coStX\nrlD//v2JiCglJYU2bdpEwcHB5ObmRo6OjmIZJycnmjVrFkVGRtKZM2coKirqHWwKY4yxV5UZ5Hv0\n6EH169d/bTqA16aFh4eTqakpKSsrk5GREQGgrKwsIiK6efMmWVhYUMOGDWno0KEUHh5eTdVnjDFW\nllqVWcjV1ZW8vb1pyJAhZGdnR4qKihQREUEaGhpiHjU1NQoPDycVFRVq3LixmK6pqUl79uwhe3v7\nN5a9ePFi8X9jY2MyNjauTBUZY0xuhYSEUEhISLnmrXCQt7W1pYULF1JGRgb99ttvtHnzZpoxY8Yb\nW/cSieS1aW+aT5p0kGeMMfa6VxvAS5YsKXXeCveuady4MUkkEqpXrx7Z29uTn58fERHp6+vTjRs3\nxHyxsbGkq6tLrVq1ouTkZDH9xo0bZGBgUNHVMsYYq4QKB/nHjx8TEVFBQQF5eXmRmZkZERHp6elR\nUFAQ3b9/n0JCQkhBQYEUFRWJiEhdXZ327dtHqamp5OfnR/r6+tW4CYwxxkpTZrpm1KhRdObMGUpN\nTaXmzZvTkiVLKCQkhK5evUq1a9cmQ0NDsrW1JSKiJk2akK2tLZmYmFDt2rVp8+bNopy1a9eSlZUV\nzZkzhywtLalz587vdqsYY4wREZEEb0uS1yCJRPLWnD1jjNWU4ueKVY1J7z6ulRU7ecQrY4zJMQ7y\njDEmxzjIM8aYHOMgzxhjcoyDPGOMyTEO8owxJsc4yDPGmBzjIM8YY3KMgzxjjMkxDvKMMSbHOMgz\nxpgc4yDPGGNyjIM8Y4zJMQ7yjDEmxzjIM8aYHOMgzxhjcoyDPGOMyTEO8owxJsc4yDPGmBzjIM8Y\nY3KMgzxjjMkxDvKMMSbHOMgzxpgc4yDPGGNyjIM8Y4zJMQ7yjDG5ULduA5JIJFX6V7dug/e9GdVO\nAgDvuxIlJBIJfUDVYYx9RCQSCRFVNX7IxqB3Uea7UFbs5JY8Y4zJsTKDvLW1NTVp0oS0tLTEtMzM\nTDI3NydlZWUaPHgwZWVlie9cXFyodevWpKmpSaGhoWJ6TEwMdezYkVRVVWnevHnvYDMYY4y9SZlB\nfsKECRQYGCgzzc3NjZSVlenWrVukpKRE7u7uRESUkpJCmzZtouDgYHJzcyNHR0exjJOTE82aNYsi\nIyPpzJkzFBUV9Q42hTHG2KvKDPI9evSg+vXry0yLiIggGxsb+uKLL8ja2prCw8OJiCg8PJxMTU1J\nWVmZjIyMCIBo5d+8eZMsLCyoYcOGNHToULEMY4yxd6vCOfnIyEhSV1cnIiJ1dXWKiIggouIgr6Gh\nIeZTU1Oj8PBwio+Pp8aNG4vpmpqadPHixarWmzHGWDnUqugCFXlKXPxkumLLL168WPzf2NiYjI2N\ny70+xtjHoW7dBpSZmV6lMhQV61NGxtNqqtHHJSQkhEJCQso1b4WDvK6uLsXExJCOjg7FxMSQrq4u\nERHp6+vTyZMnxXyxsbGkq6tLioqKlJycLKbfuHGDDAwMSi1fOsgzxuRTcYCvWrfCzMzXG5Gfilcb\nwEuWLCl13gqna/T19cnT05NycnLI09NTBGw9PT0KCgqi+/fvU0hICCkoKJCioiIRFad19u3bR6mp\nqeTn50f6+voVXS1jjLHKQBksLS3RrFkz1K5dG0pKSvD09ERGRgYGDRqE5s2bw9zcHJmZmWL+DRs2\noGXLltDQ0MDZs2fF9OvXr0NHRwctWrTA7NmzS13fW6rDGJMTRAQiVPEffZRlvqv9WRoe8coYq3Ef\ny+hUHvHKGGPsg8ZBnjHG5BgHecYYk2Mc5BljTI5xkGeMMTnGQZ4xxuQYB3nGGJNjHOQZY0yOcZBn\njDE5xkGeMcbkGAd5xhiTYxzkGWNMjnGQZ4wxOcZBnjHG5BgHecYYk2Mc5BljTI5xkGeMMTnGQZ4x\nxuQYB3nGGJNjHOQZY0yOcZBnjDE5xkGeMcbkGAd5xhiTYxzkGWNMjnGQZ4wxOcZBnjHG5BgHecYY\nk2Mc5BljTI5VOsi3aNGC2rdvTzo6OqSnp0dERJmZmWRubk7Kyso0ePBgysrKEvO7uLhQ69atSVNT\nk0JDQ6tec8YYY29V6SAvkUgoJCSErly5QhEREURE5ObmRsrKynTr1i1SUlIid3d3IiJKSUmhTZs2\nUXBwMLm5uZGjo2P11J4xJqNu3QYkkUiq9K9u3QbvvExWc6qUrgEg8zkiIoJsbGzoiy++IGtrawoP\nDyciovDwcDI1NSVlZWUyMjIiAJSZmVmVVTPG3iAzM52IUKV/xWW82zJZzalSS97ExIQGDx5Mhw4d\nIiKiyMhIUldXJyIidXV10cIPDw8nDQ0Nsayampr4jrFPWVVbydxCZm9Tq7ILnj9/npo1a0YxMTE0\ncOBA0tPTe61lXxaJRPLG6YsXLxb/NzY2JmNj48pWkbEP3v+1kiu7/Jt/R0y+hYSEUEhISLnmlaAi\nkbkU06dPJw0NDQoMDKT58+eTjo4OXbp0iVatWkUHDhygw4cP08mTJ2njxo1ERKStrU3nzp0jRUVF\n2cpIJBW6UDD2sStu7FTlnJf9zVS9PC7zXZf5LpQVOyuVrnnx4oXIqT958oSCgoLI1NSU9PX1ydPT\nk3JycsjT05MMDAyIiEhPT4+CgoLo/v37FBISQgoKCq8FeMY+dJxaYR+jSqVrkpOTaciQIURE1LBh\nQ3JycqLmzZuTra0tWVlZkZqaGnXs2JF+//13IiJq0qQJ2drakomJCdWuXZs2b95cfVvAWA3h1Ar7\nGFVLuqa6cLqGfciqO7XyLsr8WFIWn3KZ70K1p2sYq07vIg3CqRXGinFLnlVI3boNqtznWVGxPmVk\nPBWfP4YW8sdS5sfSmv2Uy3wXyoqdle5CyT5NVc1LF5fBuWnGagqnaz4QPBydMfYucLqmEj7MlAXR\nx3r7+jGkQT6WMj/M48NlcrrmI8MpC8bYx4LTNYwxJsfkPshzXpox9in74NI1xTmwyns1182pFcbY\np+yDC/IckBljrPrIfbqGMcY+ZRzkGWNMjnGQZ4wxOcZBnjHG5BgHecYYk2Mc5BljTI5xkGeMMTnG\nQZ4xxuQYB3nGGJNjHOQZY0yOcZBnjDE5xkGeMcbkGAd5xhiTYxzkGWNMjnGQZ4wxOcZBnjHG5BgH\necYYk2Mc5BljTI5xkGeMMTlWo0H+7NmzpKGhQa1btyZXV9eaXDVjjH2SJACq9pezK0BHR4c2btxI\nKioq1K9fPwoNDaVGjRr9X2UkEqrqH/ImkpD0JnGZn0KZsuV9ymV+mMeHy3zXYVYiKX0dNdaSf/78\nORERGRoakoqKCvXt25fCw8NravWMMfZJqlVTK4qMjCR1dXXxWVNTky5evEgDBgx4ZU5JlddVfPXl\nMj+lMl8v71Mu88M7Plxm1cuorBoL8uVRg5kjxhj7JNRYukZXV5diY2PF5+vXr5OBgUFNrZ4xxj5J\nNRbk69WrR0TFPWzu3r1LJ06cIH19/ZpaPWOMfZJqNF2zYcMGmjx5MuXn55Ojo6NMzxrGGGPVr0a7\nULIPB4D3+jCoItLT06l+/frVVl7Jtn8o++BDqUdFXLx4kXbv3k1//vlnjayvqKiIFBT+L/FQXfss\nNTVV7ht2u9/KAAAgAElEQVSbPOL1FQDEA+DCwkIxvaioqNRlyvquMut/14qKisQP5O7du5Sfn1+h\n5aX30bt2+PBhWrBgAT18+LDayizZ9ri4uGorU5r0/snOzi5z3pSUFAoNDSUiou3bt1N0dPQ7qdOr\n3nTOVuSYqqur0+nTp2natGnVWa03AiACfHBwMBFVT2+VgIAAGjduHCUmJlbqN1ydv/t3Ch+RwsJC\n8f+ioqLXplWHknIDAgIwY8YMLFiwAC9evCh1XdLTwsLCkJSUVOl1S5dVUFCA/Px8mTpVB+my1q5d\ni/Hjx+Px48eVKuPatWuIjIxEZGRktdVP2pkzZ6ClpYWwsDAA1Xus7969iz59+uD69evVVmaJkv1z\n/PhxLFq0CGlpaW+c7+XLl3j27BmMjIxgamoKPT09PHjwoNrrU1r9ACA8PBwhISEVWrbkvExPT4eu\nri4cHByqvY5vsmnTJmhpaSE+Pr7KZYWGhkJTUxNnz54FUPx7q6zo6OgaOW6V9VG15Euu5r6+vuTi\n4kKxsbEyt3BVhf9/CxgdHU3z5s2jdu3aUWJiInXq1IlevHhBCgoKr129S9bv7OxM9vb2lJub+1qZ\n5VVSlqenJ61YsYKWLl1KYWFh1XorX1LW/v376eDBg7Ru3Tpq2rQpZWVlvVb3sso4ceIE2draUnR0\nNI0dO5Z8fX2rrY4lwsLCaPTo0aSpqUm+vr7066+/0h9//FGpsl49Dv/73/9IXV2dnjx5QkSyd21V\nJZFI6NSpU2Rvb08mJibUoEGD1+a5evUq/fPPP1SvXj2aNGkSRUREkJGRESkpKVF+fv47u1uCVJrD\n3d2dJk+eTKtXr6a+fftSampqmcuW3AHWqlWLsrOz6ZtvvqGTJ0/S5cuXycHBodrrWlBQIP4fFxdH\nx48fp6NHj1LLli2rVC4AunnzJs2fP580NTVp3759ZGZmVu5zS/q4/Pnnn2RhYUGrVq2iSZMmfZDd\nwD+KIC8dWP38/Gjx4sWUnp5OgwYNIh8fn3IHp7cpCfBubm7Up08fGjduHHl4eFCXLl3IwMBABHoi\n2QMdEhJC+/fvpzNnzpCysjLdvXuX7t+/L8qsCH9/fzpw4ACNHDmSQkJCyN3dvVq27eLFizI/xOTk\nZDIxMaH4+Hhav349jR07lubMmUNZWVlllgOAsrOzKSgoiLy8vKh27dr0zTffkIGBQbWd4PHx8URE\nZGRkRKdOnaJevXrR5cuX6bvvvqOkpCRKT0+vcJklx+Hq1atERNSkSRPq0KED2dnZUUpKCn322WfV\nUncAlJeXR4cPH6Y//viDDA0N6eTJk7Rw4ULy8/MT83322WfUr18/unPnDjVq1IiCg4MpMDCQli9f\nTp9//jlJJBJ6+vRptdRJWsl+iIiIoOPHj1NQUBAFBARQs2bNyNrampKTk0tdtuTc37FjBy1dupS2\nbdtGycnJFBQURJGRkdWaugkPD6fdu3eLcyozM5Nq165NzZs3J6LKX5RLLnKtWrWiuXPnkqWlJSUk\nJNC4cePIz8+PEhISylxeOtWZk5ND+fn55O/vT3PnzqXc3FwaPHjwhxfoa/7moWKkby0TExNx4sQJ\ncXu5d+9eGBsb48CBA3j58mWVyweKb70sLCzQr18/XL58WUwfNWoUWrVqhYKCApm0QV5eHuLj40Vq\nZ+7cudDS0oKNjQ2ioqIqXJ8DBw4gPj4ea9euxYABA5CXl4fc3NwqpYGA4ltrTU1NODo6AihOtQwZ\nMgTGxsZwd3fH/v37MXv2bDx79uyNy7+aHlu1ahWWLVuG7t274+bNmwAAb29vXLlypUr1PHz4MNq0\naYObN28iNzcXycnJYtsjIiJgZGSER48elbs86eN77949DBs2DL1798aNGzfw4sULrFmzBlu3bpXZ\ntooqKip67TzasWMHVFRUYGpqikmTJmH+/PkYNWoUnj9/LuZJTU3FkCFDsHLlSgBAfHw8NDQ0sH79\nevz111/o27evSBVWVUn9ioqKkJKSAkdHR7Rs2RI+Pj5iHhsbGxgaGiI5ObnU5f39/TFgwABERESg\ndevWmDNnDgDg+fPnUFNTw2+//VYt9b19+zYSExMRGxuLzMxMFBQUwNDQEO7u7mIed3d3LFiwoNxl\nnj59GitWrMCOHTtw9+5dPH78GKmpqQCABw8eoG/fvkhMTCx1eenzw93dHWPHjoW+vj7Onz8PAMjK\nysKECRNgbGxcrSnWqvqgg7z0TnV2dkbz5s2hpqYGQ0NDsRO9vb2hra0Nf3//Sq2jpJyEhATExcUh\nLS0NaWlpGD9+PJYvX44bN26Iea9du4bc3FzxeceOHVi1ahXu3bsHNzc3jBo1CqGhobh58yZmzJgh\nDn55tq/E+vXr0b59e4waNUpM27RpE1avXi1yoRXdvldzqFOnThXfl3zn4+MDQ0NDcdJLL1+yj27d\nuoVt27YBAFauXInatWvj/v37AIpzu9ra2jIXxoq6du0adHR0RBnp6enIzc1Ffn4+Tp06hZYtW+LI\nkSPlLk96/7548QL5+fkoLCzEkiVLYGdnh5EjR2Ls2LGYMmVKpesM/N85dPnyZRw4cACZmZkAgHPn\nzuH27dsAgKioKAwfPlx8V5IDjoyMxLhx47B69Wrk5OTg7t27+OWXX2BjY4N///23SvUqIb0fSv5/\n7949ODk5YebMmbh48aL43s7OThxToPjC+vTpU1Hnbdu2ITo6Gtu3b0fv3r2Rn5+P/Px8FBQUICMj\nA3fu3KlSXXNzc8X+zMnJgYGBARYtWoScnBycPHkS5ubmmDBhAtzd3dGpUyf8999/5Sr3woUL6NKl\nC44cOYIBAwZgxIgRyMvLA1DcWGzTpk25Y0hgYCD69u2LXbt2oXv37li1ahVu3boFAMjMzMSUKVNk\n9uH79kEH+RIXLlzAxIkTcevWLYSFhWH8+PGwt7cXPxQ/Pz/cvXu3wuWWnPBBQUHo0aMHpkyZgj59\n+uCff/5BWloabGxssGDBAkRHR6OoqAixsbFo2rSpeMji5uaGnTt3ypQFFLfG9fX1y33CHz16FMeO\nHUNSUhJevnyJnj174ueff8adO3fg7u6O1q1bIyYmptLbBxS3MgDg2bNn6NKlC2xtbQEUB79du3ah\ndevWiI6Ofq2Mkh/c6dOnYWlpCR0dHRw8eBAAMGHCBPTr1w8zZsxAjx494OvrW+E6SouJicGSJUuw\nc+dOrFu3Djo6Ovjll18QERGBI0eO4NSpU6JOFWkpbd26FRMnTsTUqVOxb98+5ObmIj09Hfv374ea\nmhoaNGhQobsDaSX1CAkJgYaGBkaOHAltbW0EBgaKu8ujR49CQ0MDhw8fFvVxcHCAr68vUlNTERsb\nizFjxmDNmjVITU1FUVFRpe9MXyV9DuzevRsrVqzA7t27kZiYiMTERMycORMLFizAuXPn3rj8uHHj\n0KlTJxHovby80KxZM/Tq1UvM4+Ligr/++qvKdU1PT8eBAweQkZGBtWvX4vDhw7h+/Tr69euHtWvX\nIiUlBUlJSZg7dy48PDxEYC2PAwcOIC4uDgEBAdDX1xdB+NmzZwgLC0NQUBCAt59bkZGR+Pbbb8Ud\nxfnz5/HTTz9h7dq1iI2NFWV8SD7IIC+dGnj48CF0dHTQpUsXJCQkoKCgAP/++y8mT56McePGVeoW\n+8mTJ+Iqnp2djcmTJyMgIABAcYtLTU0NZ8+eRVxcHMaOHYv4+HgRJKdNmwZlZWUkJydj8+bN2LRp\nk0zZAQEBMDIywrVr1966fQDg6+uLtm3bYsyYMZgyZQr279+PjIwM/Pzzz5g2bRp++eUXmbuJyti+\nfTtmzpwJT09PxMXFITMzE3p6epg+fTqA4tZaWRekiIgIqKurY8+ePRgxYgRGjx4Nb29vAMDZs2cR\nGhoqLkIVDcBA8THIzMxERkYG5s6di379+sHLywvnzp2DnZ2dzB1RecqX/v7ixYswNDTElStX4O7u\njhkzZmDhwoXi+N+/fx8pKSkVqu+r4uLiYG5ujtOnTwMAXF1dYW5ujsDAQDx69Ah///23uAO5fPky\nevXqBTc3Nzg6OmLKlClISEjAzZs3MWjQILi4uFTqju1tNm7ciB49euDYsWMwNjZGnz59cO3aNTx+\n/Bj29vZYtmwZcnJyxPzSvU2GDRuG/v374+nTp8jLy4ONjQ0cHByQkJCAXbt2QUNDo9p6KS1YsACa\nmppo37494uLiAADXr19H7969sXr16gr/3ksuTn/99Rd0dXVhZGQkepMdO3YMzs7OMqmsV8+tV9eX\nn5+PUaNGQUVFRaTewsPDMWTIEGzcuFGcVx+SDy7IS+/UkpP9ypUrMDY2hpubm0iXXL58GY6OjhXu\n/peZmYk1a9bg7t274oA6OTmJHyhQ3EJfvXo1ACAjIwOxsbEYPHiwOJFnz54NVVVVODg4YNmyZdi9\nezcCAgJw8OBBHDp0CE+ePCl1/dIn0ZMnT7Bp0yZcunQJQPFto7W1tQigAGR+eBVRnhxqmzZtxOfS\nli8oKIC3tzdmzpwJoLjb3/Lly2FgYAA/P7/XAlJFA/zRo0dhbW2NUaNG4Z9//kFGRoZoxcbExEBf\nXx/h4eEV3u6S/wcHB2Pu3LkAivfl2bNnYWNjU+VnHCXl5+bmYseOHVBVVcWvv/4qvnNzc0Pfvn1x\n5MgRcc5eunQJf//9N5ydnQEA//77L5YvXw47OzvEx8fj1q1bePjwYZXrBQD//fcf/vnnHwDFuf85\nc+YgIyMDLi4u6N27NxYuXIiePXviv//+Q1JS0hvz8ADw999/Y/LkyWjatCm0tLSQlpaG6OhoLFy4\nEKamprC1ta1yI0T6Nx8TE4Nu3brB3NwcqampyM7OBlD8rExPTw/r1q0rd6A/dOgQ7O3tkZaWhry8\nPPTr1w8jRowAUNy9tUWLFqIF/ybS59J///0nGht5eXmYPn06DA0NRffYqKioMvP579MHF+RLbN++\nHQsXLoSLiwuio6MRFRUFIyMjeHh4iCBQmVvavLw8pKam4vHjx1i6dCny8/Px+++/w8zMTASs3bt3\nY8mSJTIPWUtyuCUt1uXLl0MikWDgwIFYvXo1rK2tMWTIkDJ/pNIn59q1a9G3b180atRIPHhLT0/H\nvn37YGFhge3bt1d424DqyaGWnNxHjx7F77//josXL0JfX19cjPLz89GlSxf89ttvIsdcGbGxsejb\nty/S0tLg4OCAzp07IysrC0VFRThx4gR0dXXh5+cnU6eyZGRkiP97enpi7dq1uHbtGlq2bInAwEDx\n3ciRI8udy32VdGvvxYsX4ph6eXlh7Nix8PDwEPO5uLiIh+9ubm5o06YNunXrhpYtW4oWX3R0NObO\nnYtp06ZVWyuwoKAAJ06cQEpKChISEgAUp+tu3bqFoUOH4vnz54iKikKHDh0wYMCAUn9HsbGx6NKl\nC+7du4fU1FQMGzYMOjo64vx6/vy5zDOqypA+rj4+PvD29saLFy/g6OiIUaNGiRRIWloaHjx4gHv3\n7pWr3FfHWADA48ePMXr0aFhZWWH8+PHi7v1t55abmxt69eqFvn37YuTIkdi3bx/S0tLg5OQEbW1t\npKenV3Sza9QHGeQPHDgAU1NThIWFoXv37uLB2JkzZ9ChQwfs2LGjwmXm5OSI1srDhw9x4MAB2NjY\nYOPGjQCAiRMnYuDAgZg1axY6duyIkydPoqioSOa2derUqRg6dKgI9L///jtatGghWtvlvc0OCgqC\nmZkZEhMT4erqipYtW4pBGU+fPoWPj0+lc8TVlUO9ePEiJkyYgOPHjwMoftDq5OSEwMBAREVFoUeP\nHujevTtcXFwqVU/g/1q2O3fuRNeuXcUF59GjR0hPTxcPHsuTorl79664YwGAzZs3Y8+ePQCKH85r\naWnhzz//xI4dO9C9e/dSW67lFRgYiIkTJ2Lo0KFwdXXFs2fPsGvXLkyePBnu7u4yP/wzZ86gX79+\nIi3Ur18/DB8+XFwgYmJiyrz7q4yioiI8fPgQo0aNgqurK4DifTR27FikpqbCw8MDM2bMkElVvbqP\n7927hzFjxsi0UNu2bQtNTU1xflUXZ2dndOzYUeauYNq0aZgwYQJmz54NZWXlCq1z9erVWLVqFZ4/\nfw4fHx/Y2dmJ1GpaWproRfamc6vkLq+oqAjPnz/HhAkTxO/Rw8MDdnZ2Yp5Zs2ZV6nlgTfoggrz0\nTs7KysKhQ4eQlJQEFxcXmJqaIjc3Fy9fvkRRUREiIiJE66S8CgsLERYWhj/++AOurq6YMGECHjx4\ngICAANja2opAHx4ejpMnT+LatWsoLCwU9ZJuITo5OWHw4MEi0NvZ2UFDQwN5eXmljpq7cOGCCIYJ\nCQmwtLSEvr6++H7Tpk1QV1dHcHCwqG9FVWcONScnB4MGDUKzZs3Ej+HSpUvYtm0bunfvjgEDBuD6\n9evw9vaGq6trhVM0JcE7JiYGI0aMkAnwBw8eRJ8+fWT2eXly8MnJyVi5ciXMzc1x5coVbNmyBVu2\nbBHzhIaGwt7e/rUeU+UlfUzu378PY2NjnD17FmFhYTAwMMCaNWtQVFQEDw8PDB8+HAMHDkROTg5e\nvnyJZcuWoVGjRvDy8hJlDBgwAH369KnWUbyvlpWVlYV//vlHXHgAwNraGmPHjkXbtm1l7makl83N\nzRV1t7S0hI+Pj7hjW7lyJQwNDat1hOedO3dEd2Gg+KJY8hDfz88Pzs7O5T5mJQ9jw8LC0KdPH3Tu\n3Bnz5s3DypUr8euvv5bZ6i7pXtq8eXPs3r0bQPHdWvfu3UWvMgAYPXo0lixZUplNfS/ee5B/te/p\n+vXrsWTJEqiqqmL48OHiOzc3tyq1Gh88eIAhQ4bg22+/xd9//w2gOJgdOXIE9vb2WLp0qbhtlX4Q\n4+HhgVmzZmH9+vWiz/Ls2bMxfPhw0RvlbQ/u7t27h8TERBHIgoKC0KtXL6xatUqsa926dejYsWOV\n+0VXJof6ptbMvXv3oKmpibFjx8pMz8jIQF5eHo4cOQItLS1xO11eAQEBaN26tegmOXPmTIwePRp7\n9uyBl5cX2rVrh0OHDpW7POnz5+zZs9ixYwcGDx6MkSNHwsnJCREREQgLC0NYWBgSExMr1fMhKSkJ\nkyZNEhfSmzdvYvDgwaJl+fDhQ2hoaOD06dNITU3Fw4cPkZqaiuDgYERFRaGoqAjLly/H+PHjceLE\nCVHusGHDqi1YSm/XsWPHcPToUXEh9/X1xYQJE8RF5smTJ6WesyUt/IkTJyI4OBiXLl1Cz5498euv\nv8LJyQm6urpVzj2/egxevnwpxi9MnDgRP/74IwYMGCDuQMp7IazqGIuS43vixAmoqamJVKGvry+m\nTZsmUn5bt27Fhg0bPrheNKV570G+REREBIYMGSJ6sZiammLMmDF4+vQptmzZgpYtW1aqG6H0gViw\nYAHGjBmD3377TWbQjq+vL6ZOnYpbt27JzF/Scr19+zaaNGmC0aNHiz7FDg4OsLKyKjMnmZycLFpL\nvr6+aNCgAebPnw+g+Ic4adIkrFu3TqyzqrfAlcmhSgf4sLAw+Pr64ujRowCKW6y9evUSA6hKPHv2\nDJMmTapwXvvRo0f48ccfX+uu5+7ujmXLlmHhwoWV7ibp6emJnj17Ij4+HuvWrUPLli2hoqKCZcuW\nYciQITA0NCx3PvdVubm5iI2NRXx8vNiXtra2CAoKEi3DP/74A/v374eKiop4GLd69Wqoqanh6tWr\nyMnJwZo1azBlyhQcO3asUvUojfR+2r9/P9q0aYNffvkFw4cPFw0af39/jBgxQjwzeJPQ0FB07doV\n4eHh2Lt3L7777jvRtdff3x9///236PFSWa/eEZWkOh48eIDFixeLlviOHTtEkC+P6hxjcerUKQwY\nMACff/45vLy8kJaWhj///BOdOnWCtbU19PT0Kty4eZ/ee5AvLCxEXFwctLS0YGhoKA5yWloaRo0a\nBVtbW9jZ2VX4Fls6SNy7dw/Pnj1Dfn4+UlNTMW/ePNjb2+PBgwd4/PgxDh48+FovncOHD8PR0RFp\naWnYvHkzDA0NMXHiRJiYmIiHOW/L6968eRO9e/fGmDFjMHjwYJw7dw7GxsbiVi8gIEAmZ1rRlkF1\n5FBLniMcOXIEurq6OHLkCL777jvRu+jBgwfo2rWreC5Sss7KPCSMi4vD6NGjxeeSnhMlpO+kKrIv\nQkNDYWhoKEbeJiYmwt3dHYMGDRIvs6pMq0t6G1+8eIE5c+agc+fOyM7Oxt69ezFu3DjMmTMHO3bs\nEAHm4MGDaNOmjdjfLi4uaN++vQj0S5YsgaOjo3jAXFXSZezevRuzZ88WF9/Tp0+jd+/eIrAfPnxY\npiX7agv59OnTsLe3F59DQ0Ohp6dX6YtjWTZu3AhLS0uYmJhg7dq1Mr3I3N3d0blz5wo16qprjEVg\nYCC0tLQQHh6O5cuX46uvvsL+/fsBFD+4DQ8Pr3CPvvftvQT5N91+BQQEwMDAAHv27JF52v/ixYtK\n9aIpufU6evQo+vfvj9WrV2Py5Ml4+vQpHj16hGXLlsHU1BQqKio4d+6cTJ2ePXsGR0dHeHp6IjEx\nUYw+ff78Ob777jssWrTotQBVGicnJygqKopUU3R0NLp06SIC/fHjxyv1kLWqOdTbt2+LVujDhw9h\nZGSEf//9F4cPH0a7du3w/fffY9q0aQCKLx4V6cb4KunumN26dZN56BsYGCi6OJb3tlw6nZaZmQkX\nFxc0btxY9FICII6xpaUlsrOzK5z7zsvLw65du3Dt2jVcvXoVS5cuxfPnz+Ho6AhTU1O8fPkSV65c\ngaurK5YuXSqCCFB8zv3www8i0G/YsAGdOnVCVFQUcnJyXhtVXB3y8vKwYsUKKCoqiq6Tubm5OH36\nNHR1dcvsrHD8+HGcP38eO3bswIwZM5CYmCju+KZOnVrhZ2Bvs2PHDhgaGgIofkbQqFEjsd64uDiM\nGTOmzHEm0qp7jIWPj48YPwIA+/btw+eff16pzh4fivfakvf394erqyv27t2LlJQUnD59GoaGhjh4\n8GC5g+irpN+9Eh4eDnV1dcTFxWHZsmVQUVFBp06dRD4yIiJCvCa35OCX5Nk9PDywYsUK3Lt3D61a\ntcLZs2dx8OBBmJubVygo37p1Czt37oS2tjZ27doFoPgOQEVFpVpGCVY2h3rixAnUq1dPBKJ79+7h\nzp07MDY2BlD88EsikYgWPVC51vD58+exceNGbN++HYmJiThz5gwsLCxgZ2eHQ4cOoUOHDmIEbXlI\nB+uS1l9eXh7c3NxgYWEh8y6WpKSkUl/zW966N2nSBEpKSiJNkZOTAwcHB5iZmYlzraTFLx1EXg30\nq1atQvfu3attJKv0hS48PFw8xF26dCk6d+4suvLm5ubi7NmzMj1ApI+jl5cXfvjhB8yePRt9+vSB\nsrIy5s+fD3d3d2zatAmGhoZVHiz26gU2NDQUcXFx2L17N4YNG4Z///0XjRo1gp2dHRISEsr9XKqq\nYyzedOE/ffo0fvrpJ6SlpYmGYs+ePaGtrV2l7sLv03sL8j4+PtDT08PGjRvx22+/wcjICHfv3kVA\nQAC0tbVFXrgisrKyMGbMGNFqjo2NxdWrVxEVFYWOHTvizp076N+/P7S0tMSw5pIfZlFRES5cuABl\nZWW4u7sjNjYW+vr68PHxwaFDh9CjRw906dKl0u8TOXjwILS0tODv74+QkBBYWlpWOb9Z1RxqQECA\nTCC6cuUK+vXrh9zcXJw7dw4//fRTqcPdy+PSpUvo0KEDNm3ahOHDh2PmzJnYtWsX7t69CxsbG6xf\nv14MQivPBUR6Hg8PD8ycORPLly8X3Sbd3d0xadIkmV4slVVUVIRHjx6hc+fOUFVVFS3CwsJC5OXl\nwdbWFl27di2zV9XRo0fRpk0b0XKvygXnbZycnMQD619++QVdu3Z94/tTpPdhSkoKfHx8xANaPz8/\naGlpYeTIkdi7dy9mzpxZ5YFO0jIzM2XGGNjZ2YnBSDY2NjIPs9+mqmMspKd5e3tj+/bt4sWH48eP\nh62tLfbu3Qs3Nzf89NNPH/T74t/mvQX5TZs2idvK7Oxs/PXXX5g9ezaA4p1emb6nL168gI+PD4YM\nGSLzgMnZ2VmMMly6dCnMzMxEv/QSL1++xIMHD2BgYAAdHR34+/tj6tSpaNu2LaKjo/H8+fMq/0iD\ng4NhYGAAExOTKnfjA6onh3rs2DH88MMPYtt++eUXjBo1Cj/88EOFAvCrnj9/joMHD2LDhg0AilvV\nW7ZsESNsXx2ZWpF1uLq6olu3brh27RrMzMygqqoqApyzszMcHBxkumCWl3Q9Sp5VFBQU4OjRo2jX\nrp14gVV8fDwePnxYrou0n58ftLW1ZbrkVpd9+/bBzMwMaWlp+Ouvv2TSDBMmTICJiYnM2A3p82fD\nhg3o2bMnlJWVsX79enFXdODAAXz//fc4c+ZMlet38+ZNcQ79+eef4tlUyZgAZ2dnGBoaYvXq1TAx\nManQb766xliUvFdozpw5GDVqFJYvX46ioiK4ublh7ty5mDhxYqUHzn0oaiTIv+m2aOXKlfjpp5/E\n57CwMNja2lZ6GH+J7OxsHD58GD/++KPoJ10ygOHvv/+Gjo6O+HGWHPzz58+LF5Hdvn0bAwcOxLZt\n27B582ZIJBIsXry42n6gT58+rfIIuerOoR47dgwtW7ZERkYGMjMzERwcLG5zK7PdgYGBWLBgAXbu\n3AlNTU3RoizpX17RN/S9mqL566+/kJKSAldXVwwaNAhbt26FioqKuPurbC+lkm0NDAzEjBkz4ODg\nIHpR7Nu3D82bN8fy5cvRrVs3mTu6t+2jd3Wbv3XrVjRs2BDr16+Hm5sbVFVVsWjRIvF9aQ8IDx8+\nDCsrK0RHR8PBwQG2trY4ffq0zFsZq/rXl3JycrBgwQI4Ojpi06ZNMDY2xs2bN2FrayteT52eng43\nNzdMmDDhjS/He5PqHGOxY8cOTJkyRdylXb9+HUOHDsXixYvFPNWVXnuf3nmQl97JAQEBCAoKQkRE\nBFu8zWEAABAUSURBVF6+fAldXV04OjoiNTUVO3fuhKWlpehCWZHypXt8lNw6Hzp0CAMHDsSePXuQ\nlZWFlStXwt7e/o353wcPHmDLli3o2LEjPDw84ObmJnK7W7durZY/N1YVNZFDPXbsGJo2bSpzt1KZ\nl41dvXpV5l1AixcvhpWVFf777z9cu3YN/fr1q3TvhBMnTuD8+fPiVQFDhw7F3bt3kZWVhW7duqFd\nu3ZVDqhHjx5Fx44dER8fj0GDBkFZWVk8VD137hxmzpyJkydPVmkdVRUaGgp/f38UFhZi6NChsLW1\nRWhoKAwMDNCoUaMyU50PHz6EsrKyGIOSk5ODefPmwcHBAUFBQdXyaoWSi/LNmzexdOlSjBs3DnZ2\nduL7mTNninf6A+UfKV7VMRavnstubm6oX78+1qxZA6D4rq3krZelvdPpY1Rj6ZrNmzejd+/e2Lp1\nK9q3b4+AgAA8ffoUQ4cOxS+//IIRI0aU+2r+JkFBQZg6dSosLCxw4MAB5Ofn4/Dhwxg4cKB44FnW\n2+aA4px0//790a1bN7Rp06bSdalONZlDle5qVhl5eXno0KEDNDU1ERYWhqKiIty5c0c8dBw1apR4\n3W55vHpxa9GiBX777Tf06tULXl5eWLZsGYKCguDm5vbaEP2KrKOoqEgEphUrViAsLAzHjh1Dz549\nMW/ePNSvX18MhJH+u7s1NRhGej0vX77Erl270KtXL6xevRoxMTGwsrLC/fv3ER4ejmHDhr31JWc+\nPj6oX7++GNWZl5eHqVOnwsnJqdIdHkpI33WlpKQgIyMDixYtQu/evWXeH2Rvby9Gs5dnP1Z1jIV0\nvaR7N+3cuROqqqoyf+s1Jibmo87Bv6pGgnx2dra4BVqyZAnMzc1l+kS/ePGiSi2w27dvo2vXrjh1\n6hR8fHzQoUMHeHp6Aig+ofv374979+6V62RKSkqCl5cX9PT0qr3rWEXVdA61RGWC17Vr1xAdHY2A\ngABoampixYoVMt+npaWJY1yeAFnWxW3Xrl3Q0tKCkZERVq9ejc6dO5e7y11ppPOuT58+xYgRI0SZ\n2traMoPKapL0foiPjxfBJzMzE4MHD8avv/6KXr16idRkedOdhw4dgpaWlni/T35+fpV70UjbuHEj\nunXrhpcvX+L+/ftYtGgRZs6cKV7dAbx9nIm0qoyxkP7s4uICGxsbWFlZiTvCHTt2QE1NTaZu8uSd\nBPlXc/Dp6emwtraGlZUVhg8fLg7Q33//LbowVsSrB/Lq1asYPny4mBYREYFWrVrhypUrYnhzRVX1\n7XrVqSZyqFURFhYGdXV1WFhYYObMmfjxxx/RpEkT8bC7ospzcfP19YWSkhIOHTpUpdZnYWEhCgoK\n0LJlS1hZWYnpEydOxB9//IEzZ85gwoQJlTpPq9Off/4JU1NTdO3aFTNmzEBQUBAKCwvh6+uL3r17\no3nz5sjJyanQBfrYsWP4/vvvxWCf6nL27Fn07t1b/FUsoPj9NEuXLoWtra3oxVIeVR1jIb0/9u7d\nC0NDQxQWFqJDhw7o1q2baAxu3rwZOjo61fbnFj8k77Ql/+DBA7HzPT098dVXX4mUzPbt29GuXbtK\n3RaVHLhLly4hOzsbSUlJmDx5Ms6dOydy+gsXLsSFCxfeuNzHpCZyqFVx8eJF9O3bV+SBL168iI0b\nN2LWrFlQUlLCwoULK1322y5u+/btq/TFreRcKLmYZ2RkQFNTEzY2NgCK878TJ06U6cdfkyka6aD1\n9OlT8YqPhw8fYvv27Zg6dapoeZd096yMoKCgam8g+Pj4YN26dQAgMxAtMTERq1evLve7/Ks6xkJ6\nH7q6usLKygp3796Fh4cHTE1N4ezsDFVVVfF2ytL+vvHHrlqD/OXLl0WXub/++gs9evRAv379EBwc\njPT0dDg7O6N9+/aYPn06+vfvX6W/YRkYGAglJSWEh4ejqKgIS5cuhYODA1asWAFfX1907tz5o+/6\nVOJd5lCrKigoCLVq1cKMGTNE3dzc3LBmzRrEx8dXOo1UExe3a9euYefOnSJAZmVlQUVFRYz0BSAa\nITXZQHi1s0JISAi0tbVFuurx48f48ccfq/znFqvDm1rQgYGBaNeuncyf59u8efP/a+/eY5q83jiA\nf/mh4oKouM3bwiRCEQMyWBQFQfFCTVCxyCWyhQhUiYu3CFMBJ17InPFCYrwQvKAiRAgiDFRop8bL\nwmQaI8jSgVFDTEzxEsUllkjqd3+wvj+qZmJ5aws7nz+hPTltz3vOe55zzvNK12p3yHnGoqqqit9+\n+y1bWlpoMBiYnJwshXdMT0jrqx08KWMnbzQaqdFoqFQquWHDBsbGxrK1tZU5OTlMSUmRpkVNTU1s\namrqUfzv2bNnjImJeWvaV1ZWxu3bt3P9+vVSHvS+wtox1J4oLy/np59+Kv3GGo3G7EHJlnaQ1hjc\nTHUxGo2sqqqiSqViUVGR1NFXV1fTwcGBK1asMHu9LWaBV69eZVBQEMnOZGeJiYnSXvLs7Gzp+7aV\nrt/JhQsXWFhYyD/++IPPnz9nbm4uIyIiWFlZyYKCAvr4+HQ7F42cZywePHhANzc3zp07l2TnWZrQ\n0FCmpaWxpKSE4eHhfWqR9V1k6eT1er30A65fv56BgYEMDw+X/l9QUMClS5cyNzfX4gNFph9Sp9Ox\nsbGRKSkp0mhsCtGYpt6WJrqyd9aKocrh9OnTdHJyolKpZExMzAelKvg3cg1uXdtCU1MTMzIy2NHR\nwbNnzzI+Pp4FBQVsa2vj77//zvT0dLOUwB9L17vikpISTps2TVrXuHPnDrds2UIvLy9u3bpV2uZp\nD44fP86pU6dy9erVjIuLY2ZmJmtra3n8+HHGxsZy3bp13e7g5T5jQXa2TRcXF2mXXXNzM+Pi4rhg\nwYIeRRN6C1k6eVO2xcTERIaFhbGwsJDe3t7ctWuX9JpDhw5x1apVFk2Luh5amjFjBu/cucOZM2ea\nHfz45ZdfuHz5crNH9vVF1oihyqWyspL+/v5SPFauU55yDG6memi1WqrVaioUCmZnZ7O9vZ3V1dVc\nsWIFo6OjOXbsWGmGaKsbBIPBwObmZo4fP/6tfP5arZYXLlywSmbI7nrze8nIyOCtW7dIduaL+uGH\nH6RBvr29vdvXozXPWFRUVNDX15fFxcXSZ/jQMzm9lWzhmtTUVA4aNEha/T579iwjIyPNdlj0JO51\n/fp1rlu3jrm5uSQ7B5YpU6YwKSmJ+fn59Pf3N0tOJdhGTU0Nv/jiC546dUrWcuUY3BobG+nt7c2q\nqipmZWUxKSmJGzZsoMFg4F9//cUbN26YHYf/WH799VeePHmSZOcWv8jISGZlZXHNmjUcOXKkFLaw\nB3q9Xlo4NeXFT0hIkFJRk50pSxITEz/oO5T7jMW72PNM2JocN2/evBky8PDwwFdffYX9+/fD1dUV\nUVFRUCgU2L59Oz755BP4+flh4MCBFpdfVlaGI0eO4LPPPkNISAhGjRoFlUoFnU4HV1dXLF68GEql\nEiTh4OAgx0cSLODp6QlfX1/4+PjA1dVVtnI9PDwwbNiwD3oPSQCQ2kNLSwuePHmCtLQ0zJgxA0aj\nEQUFBdDr9QgICIBCocCIESPeep+1NTQ0IDU1FS9evMDNmzexdetWvHz5Es7Oznj16hXOnTsHvV6P\nWbNmfZT6/Jv6+nosX74cOp0Ohw8fRmJiIiZPngyNRgOdTofQ0FDcvXsXra2tmD17NhwdHd9bZkND\nA549e4bAwEBotVq4uLhg2rRpcHV1RUhICFQqFVQqFXx9fXv02ygUCqltfmhb6tXkHjVM2RbPnDnD\niooK6clKH8p0F/Dw4UMpxl5aWsqwsDBevnz5nfvY+1oMXugZU1u4ffs2f/vtN968eZMKhcJsvSAu\nLo5Lly5lRkaGTR8GodFoOGHCBEZERJDsDHOY0ihotVoGBwfbdKG9a8hl2bJl7N+/P6urq0l2LpTW\n1tYyLCyMsbGxDA8P7/bpdbnPWAhvcyD/GRpldPHiRWRmZmLIkCHYvXs3fH19LSqnpqYGBw4cQHBw\nMO7fv4/9+/dj3759OH/+PNLS0hAaGop+/frJXHuhL6mpqUF2djYCAwPx4sULjBkzBvX19Zg+fToC\nAgKQmpqKtWvX4vLly/j888+xcePGbt19WkNlZSUWLVqEvLw8JCQkAAAWLlyI3bt348svv7RZvdhl\ndpybm4vW1la0t7fj3LlzyM/Px8SJE6XXtrW1gSSGDh363nLr6uqQlZWF1atXIyIiAnV1dairq8PD\nhw9RVFSE5ORkbNmyxWqf6z/DWqNHT7MttrS0UKVS8e7du8zMzGRQUJCUXS4nJ4czZ860yTFzofcw\nGAxMT0+nwWBgSUkJAwICeO/ePZ4/f55KpZLfffed9NzP2tpai05Gy830LOCVK1dKBwbfl4vmYzly\n5AgnTpwo7XD58ccf6efnx+bmZrNU4d1lrTMWgjmbP+PV5M1Qy4MHD3j06FGWlpZy0qRJ0qKbKS2o\nJfnmhf+W9vZ2pqSkcMmSJQwJCZHaUENDAxsbG82yH9pTmK+8vJz9+vVjdHS0RaFOa+jo6KBareaZ\nM2f4+PFjFhYWMicnh4GBgUxOTqZSqbQof5C1zlgI/2eVcI0l+M+U8Pbt23j69CkcHR2xbNkydHR0\noLGxEQMGDMCVK1ewY8cOHDx4EKNHjzZ7nyC8S3l5OTIzM/HTTz9BpVLh0qVLUKvVOHXqFAICAgDY\nZxu6dOkS3N3d4e7ubuuqSIqLi7Ft2za4ubnBw8MDo0aNQv/+/fHNN9/A2dkZQ4YMsajc8vJyxMfH\nY/r06Rg8eDASEhIQGRkpc+3/u+yikzddZNeuXUNSUhL8/f3h5uYGnU6H69evIz09HS4uLti7dy82\nbdqEqKgoW1dZ6CXa2tqQl5eHsrIyTJkyBfX19fj+++8xb948W1et1zEajfjzzz/h7u4OZ2dnFBUV\n4eeff8aJEyfg5OTUo7KrqqqQlZWFhIQEpKam4vXr13BwcLC7wbc3sotOHnj3Isy1a9eg1+vR0dEB\nT09P+Pn5ITg4+KNvcRN6v+bmZrS2tmL48OEYN26caEM9YDQacfToUeTk5KC0tBQ+Pj6ylKvRaKBW\nq7Fnzx5ER0fLUqYA2M3WlLa2Nly8eBF+fn6IiIjA119/jVu3bsHJyQnbtm2TLkZxcQqW8PLygpeX\nl9nfRBuyzKtXr+Do6IiysjKMHz9etnLnzJmD/Px8eHp6ylamYEd38gBQUVGBJUuWYOfOnUhKSoJW\nq8WxY8eQl5eHQYMGiYtSEOyEPa5jCO9mN3fyAKBSqUAS8fHxKC4ulhZhXFxcbF01QRC6EB187/E/\nW1fgTVFRUSgtLcWjR48QFBSEyMhIvH79GnY04RAEQeg17OpO3mT+/PkYMGAA1Go1xowZIxZhBEEQ\nLGRXMfk3abVaeHp6YuzYsbauiiAIQq9k1528IAiC0DN2F5MXBEEQ5CM6eUEQhD5MdPKCIAh9mOjk\nBUEQ+jDRyQuCIPRhopMXBEHow/4GBPH1dOHOF+MAAAAASUVORK5CYII=\n" 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100 | } | |
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101 | ], | |
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102 | "collapsed": false, | |
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103 | "prompt_number": 7, | |
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104 | "input": "plot_word_histogram(sorted_wf, n_words,\"Frequencies for %s most frequent words\" % n_words)" | |
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105 | }, | |
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106 | { | |
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107 | "cell_type": "code", | |
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108 | "language": "python", | |
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109 | "outputs": [ | |
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110 | { | |
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111 | "output_type": "pyout", | |
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112 | "prompt_number": 8, | |
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113 | "text": "<matplotlib.axes.AxesSubplot at 0x3371e50>" | |
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114 | }, | |
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115 | { | |
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116 | "output_type": "display_data", | |
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117 | "png": 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GyYCIiDhnQERkCzhnQERECs4ZEBGRapgMiIiIyYCIiJgMiIgIXE1ERGQTuJqIiIgUXE1E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\n" 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118 | } | |
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119 | ], | |
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120 | "collapsed": false, | |
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121 | "prompt_number": 8, | |
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122 | "input": "plot_word_histogram(sorted_wf, 1.0, \"Frequencies for entire word list\")\n" | |
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123 | }, | |
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124 | { | |
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125 | "cell_type": "code", | |
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126 | "language": "python", | |
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127 | "outputs": [ | |
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128 | { | |
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129 | "output_type": "display_data", | |
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130 | "png": 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96NKtDxUrVcGkQrDNjCYUKcCS24abIr4//vgjTz75JG63m6FDhzJ06FCmT58O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131 | } | |
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132 | ], | |
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133 | "collapsed": false, | |
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134 | "prompt_number": 9, | |
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135 | "input": "plot_graph(wgraph)" | |
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136 | } | |
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137 | ] | |
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138 | } | |
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139 | ] | |
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140 | } No newline at end of file | |
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