Eq.ipynb

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  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sympy import *"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x, y, z = symbols('x y z')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "expr = -0.5*(x**2 + y**2 + z**2) - 0.5 * (1. / sqrt(0.5 + x**2 + y**2 + z**2))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "expr"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "-0.5*x**2 - 0.5*y**2 - 0.5*z**2 - 0.5/sqrt(x**2 + y**2 + z**2 + 0.5)"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "solve(expr, z)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "[0.998447168667795*sqrt((-0.5 + 5.55111512312578e-17*I)*(x**2*(1.50466936728937 - 0.868721264245904*I) + x**2*(0.501556455763125 + 0.868721264245904*I) + y**2*(1.50466936728937 - 0.868721264245904*I) + y**2*(0.501556455763125 + 0.868721264245904*I) - 1.72153100245073 + 2.77555756156289e-17*I)),\n",
        " 0.998447168667795*sqrt((-0.25 - 0.433012701892219*I)*(x**2*(-0.501556455763125 - 0.868721264245904*I) + x**2*(1.50466936728937 - 0.868721264245904*I) + y**2*(-0.501556455763125 - 0.868721264245904*I) + y**2*(1.50466936728937 - 0.868721264245904*I) + 2.13923449877463 - 0.337986283453217*I)),\n",
        " -0.998447168667795*sqrt(0.25 + 0.433012701892219*I)*sqrt(x**2*(-1.50466936728937 + 0.868721264245904*I) + x**2*(0.501556455763125 + 0.868721264245904*I) + y**2*(-1.50466936728937 + 0.868721264245904*I) + y**2*(0.501556455763125 + 0.868721264245904*I) - 2.13923449877463 + 0.337986283453217*I),\n",
        " -0.998447168667795*sqrt((0.5 - 5.55111512312578e-17*I)*(x**2*(-0.501556455763125 - 0.868721264245904*I) + x**2*(-1.50466936728937 + 0.868721264245904*I) + y**2*(-0.501556455763125 - 0.868721264245904*I) + y**2*(-1.50466936728937 + 0.868721264245904*I) + 1.72153100245073 - 2.77555756156289e-17*I)),\n",
        " -0.407614349727112*(0.5 + 0.866025403784439*I)*sqrt(x**2*(3.00933873457875 + 5.21232758547543*I) + y**2*(3.00933873457875 + 5.21232758547543*I) + 6.4177034963239 + 1.01395885035965*I),\n",
        " 0.407614349727112*(0.5 + 0.866025403784439*I)*sqrt(x**2*(3.00933873457875 + 5.21232758547543*I) + y**2*(3.00933873457875 + 5.21232758547543*I) + 6.4177034963239 + 1.01395885035965*I)]"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
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