7shi/17.ipynb

## 17.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from sympy import *\n",
    "init_printing()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x=Symbol(\"x\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t1=solve(x**2+x-4,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARIAAAAkCAYAAABFY7UnAAAABHNCSVQICAgIfAhkiAAABaFJREFU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\ng6IoiqIoiqIo5eE/lcDRXjoir/0AAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$\\left [ - \\frac{1}{2} + \\frac{\\sqrt{17}}{2}, \\quad - \\frac{\\sqrt{17}}{2} - \\frac{1}{2}\\right ]$$"
      ],
      "text/plain": [
       "⎡  1   √17    √17   1⎤\n",
       "⎢- ─ + ───, - ─── - ─⎥\n",
       "⎣  2    2      2    2⎦"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a8_1,a8_3=t1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t2=solve(x**2-a8_1*x-1,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAm4AAAArCAYAAADBogTlAAAABHNCSVQICAgIfAhkiAAACkRJREFU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\n+D+hyVpO73F/nwAAAABJRU5ErkJggg==\n",
      "text/latex": [
       "$$\\left [ - \\frac{1}{4} + \\frac{\\sqrt{17}}{4} + \\frac{1}{4} \\sqrt{- 2 \\sqrt{17} + 34}, \\quad - \\frac{1}{4} \\sqrt{- 2 \\sqrt{17} + 34} - \\frac{1}{4} + \\frac{\\sqrt{17}}{4}\\right ]$$"
      ],
      "text/plain": [
       "⎡              _____________      _____________          ⎤\n",
       "⎢  1   √17   ╲╱ -2⋅√17 + 34     ╲╱ -2⋅√17 + 34    1   √17⎥\n",
       "⎢- ─ + ─── + ───────────────, - ─────────────── - ─ + ───⎥\n",
       "⎣  4    4           4                  4          4    4 ⎦"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a4_1,a4_9=t2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t3=solve(x**2-a8_3*x-1,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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      "text/latex": [
       "$$\\left [ - \\frac{\\sqrt{17}}{4} - \\frac{1}{4} + \\frac{1}{4} \\sqrt{2 \\sqrt{17} + 34}, \\quad - \\frac{1}{4} \\sqrt{2 \\sqrt{17} + 34} - \\frac{\\sqrt{17}}{4} - \\frac{1}{4}\\right ]$$"
      ],
      "text/plain": [
       "⎡              ____________      ____________          ⎤\n",
       "⎢  √17   1   ╲╱ 2⋅√17 + 34     ╲╱ 2⋅√17 + 34    √17   1⎥\n",
       "⎢- ─── - ─ + ──────────────, - ────────────── - ─── - ─⎥\n",
       "⎣   4    4         4                 4           4    4⎦"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a4_3,a4_10=t3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t4=solve(x**2-a4_1*x+a4_3,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/latex": [
       "$$\\left [ - \\frac{1}{8} + \\frac{\\sqrt{17}}{8} + \\frac{1}{8} \\sqrt{- 2 \\sqrt{17} + 34} + \\frac{1}{8} \\sqrt{- 16 \\sqrt{2} \\sqrt{\\sqrt{17} + 17} - 2 \\sqrt{2} \\sqrt{- \\sqrt{17} + 17} + 2 \\sqrt{34} \\sqrt{- \\sqrt{17} + 17} + 12 \\sqrt{17} + 68}, \\quad - \\frac{1}{8} \\sqrt{- 16 \\sqrt{2} \\sqrt{\\sqrt{17} + 17} - 2 \\sqrt{2} \\sqrt{- \\sqrt{17} + 17} + 2 \\sqrt{34} \\sqrt{- \\sqrt{17} + 17} + 12 \\sqrt{17} + 68} - \\frac{1}{8} + \\frac{\\sqrt{17}}{8} + \\frac{1}{8} \\sqrt{- 2 \\sqrt{17} + 34}\\right ]$$"
      ],
      "text/plain": [
       "⎡                                 ____________________________________________\n",
       "⎢              _____________     ╱           __________          ___________  \n",
       "⎢  1   √17   ╲╱ -2⋅√17 + 34    ╲╱  - 16⋅√2⋅╲╱ √17 + 17  - 2⋅√2⋅╲╱ -√17 + 17  +\n",
       "⎢- ─ + ─── + ─────────────── + ───────────────────────────────────────────────\n",
       "⎣  8    8           8                                                  8      \n",
       "\n",
       "___________________________________       ____________________________________\n",
       "         ___________                     ╱           __________          _____\n",
       " 2⋅√34⋅╲╱ -√17 + 17  + 12⋅√17 + 68     ╲╱  - 16⋅√2⋅╲╱ √17 + 17  - 2⋅√2⋅╲╱ -√17\n",
       "───────────────────────────────────, - ───────────────────────────────────────\n",
       "                                                                              \n",
       "\n",
       "___________________________________________                            ⎤\n",
       "______           ___________                              _____________⎥\n",
       " + 17  + 2⋅√34⋅╲╱ -√17 + 17  + 12⋅√17 + 68    1   √17   ╲╱ -2⋅√17 + 34 ⎥\n",
       "─────────────────────────────────────────── - ─ + ─── + ───────────────⎥\n",
       " 8                                            8    8           8       ⎦"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a2_1,a2_13=t4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t5=solve(x**2-a2_1*x+1,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwgAAAAWCAYAAABkMbthAAAABHNCSVQICAgIfAhkiAAAC+5JREFU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\n",
      "text/latex": [
       "$$\\left ( 0.932472229404356 - 0.361241666187153 i, \\quad 0.932472229404356 + 0.361241666187153 i\\right )$$"
      ],
      "text/plain": [
       "(0.932472229404356 - 0.361241666187153⋅ⅈ, 0.932472229404356 + 0.36124166618715\n",
       "3⋅ⅈ)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t5[0].evalf(),t5[1].evalf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "r16,r1=t5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def f(n):\n",
    "    return (E**(I*2*n*pi/17)).evalf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwgAAAAWCAYAAABkMbthAAAABHNCSVQICAgIfAhkiAAAC+5JREFU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\n",
      "text/latex": [
       "$$\\left ( 0.932472229404356 - 0.361241666187153 i, \\quad 0.932472229404356 + 0.361241666187153 i\\right )$$"
      ],
      "text/plain": [
       "(0.932472229404356 - 0.361241666187153⋅ⅈ, 0.932472229404356 + 0.36124166618715\n",
       "3⋅ⅈ)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(16),f(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VdRGzPt61nHXusce7xj1kzTnsGbvK6fzW9rlJqp4F0mfQnqWbEtfBEnoWSJPB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\n",
      "text/latex": [
       "$$- \\frac{1}{16} + \\frac{\\sqrt{17}}{16} + \\frac{1}{16} \\sqrt{- 2 \\sqrt{17} + 34} + \\frac{1}{16} \\sqrt{- 16 \\sqrt{2} \\sqrt{\\sqrt{17} + 17} - 2 \\sqrt{2} \\sqrt{- \\sqrt{17} + 17} + 2 \\sqrt{34} \\sqrt{- \\sqrt{17} + 17} + 12 \\sqrt{17} + 68} + \\frac{1}{16} \\sqrt{-136 - 16 \\sqrt{2} \\sqrt{\\sqrt{17} + 17} - 4 \\sqrt{2} \\sqrt{- \\sqrt{17} + 17} - 2 \\sqrt{2} \\sqrt{- 8 \\sqrt{2} \\sqrt{\\sqrt{17} + 17} - \\sqrt{2} \\sqrt{- \\sqrt{17} + 17} + \\sqrt{34} \\sqrt{- \\sqrt{17} + 17} + 6 \\sqrt{17} + 34} + 8 \\sqrt{17} + 2 \\sqrt{34} \\sqrt{- 8 \\sqrt{2} \\sqrt{\\sqrt{17} + 17} - \\sqrt{2} \\sqrt{- \\sqrt{17} + 17} + \\sqrt{34} \\sqrt{- \\sqrt{17} + 17} + 6 \\sqrt{17} + 34} + 4 \\sqrt{- \\sqrt{17} + 17} \\sqrt{- 8 \\sqrt{2} \\sqrt{\\sqrt{17} + 17} - \\sqrt{2} \\sqrt{- \\sqrt{17} + 17} + \\sqrt{34} \\sqrt{- \\sqrt{17} + 17} + 6 \\sqrt{17} + 34} + 4 \\sqrt{34} \\sqrt{- \\sqrt{17} + 17}}$$"
      ],
      "text/plain": [
       "                                                                              \n",
       "                                  ____________________________________________\n",
       "               _____________     ╱           __________          ___________  \n",
       "  1    √17   ╲╱ -2⋅√17 + 34    ╲╱  - 16⋅√2⋅╲╱ √17 + 17  - 2⋅√2⋅╲╱ -√17 + 17  +\n",
       "- ── + ─── + ─────────────── + ───────────────────────────────────────────────\n",
       "  16    16          16                                                 16     \n",
       "\n",
       "                                          ____________________________________\n",
       "___________________________________      ╱                                    \n",
       "         ___________                    ╱                 __________          \n",
       " 2⋅√34⋅╲╱ -√17 + 17  + 12⋅√17 + 68    ╲╱   -136 - 16⋅√2⋅╲╱ √17 + 17  - 4⋅√2⋅╲╱\n",
       "─────────────────────────────────── + ────────────────────────────────────────\n",
       "                                                                              \n",
       "\n",
       "______________________________________________________________________________\n",
       "                      ________________________________________________________\n",
       "___________          ╱          __________        ___________         ________\n",
       " -√17 + 17  - 2⋅√2⋅╲╱  - 8⋅√2⋅╲╱ √17 + 17  - √2⋅╲╱ -√17 + 17  + √34⋅╲╱ -√17 + \n",
       "──────────────────────────────────────────────────────────────────────────────\n",
       "                                                                              \n",
       "\n",
       "______________________________________________________________________________\n",
       "_________________                    _________________________________________\n",
       "___                                 ╱          __________        ___________  \n",
       "17  + 6⋅√17 + 34  + 8⋅√17 + 2⋅√34⋅╲╱  - 8⋅√2⋅╲╱ √17 + 17  - √2⋅╲╱ -√17 + 17  +\n",
       "──────────────────────────────────────────────────────────────────────────────\n",
       "                                                      16                      \n",
       "\n",
       "______________________________________________________________________________\n",
       "________________________________                      ________________________\n",
       "       ___________                     ___________   ╱          __________    \n",
       " √34⋅╲╱ -√17 + 17  + 6⋅√17 + 34  + 4⋅╲╱ -√17 + 17 ⋅╲╱  - 8⋅√2⋅╲╱ √17 + 17  - √\n",
       "──────────────────────────────────────────────────────────────────────────────\n",
       "                                                                              \n",
       "\n",
       "________________________________________________________________________\n",
       "_________________________________________________                       \n",
       "    ___________         ___________                         ___________ \n",
       "2⋅╲╱ -√17 + 17  + √34⋅╲╱ -√17 + 17  + 6⋅√17 + 34  + 4⋅√34⋅╲╱ -√17 + 17  \n",
       "────────────────────────────────────────────────────────────────────────\n",
       "                                                                        "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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