Polynom rational.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['3/2']\n"
     ]
    }
   ],
   "source": [
    "import sympy\n",
    "\n",
    "a=[2,-3,6,-11,1,3] #constant term is a[-1]\n",
    "\n",
    "pnl=sympy.ntheory.divisors(a[-1])\n",
    "ml=sympy.ntheory.divisors(a[0])\n",
    "\n",
    "nl=[]\n",
    "for div in pnl:\n",
    "    nl.append(div)\n",
    "    nl.append(-div)\n",
    "\n",
    "deg=len(a)-1\n",
    "f=0\n",
    "ans=[]\n",
    "for n in nl:\n",
    "    for m in ml:\n",
    "        nd=n**deg\n",
    "        md=1\n",
    "        for c in a:\n",
    "            f+=nd*md*c\n",
    "            nd/=n\n",
    "            md*=m\n",
    "        if f==0:\n",
    "            ans.append((str(n)+'/'+str(m)))\n",
    "        f=0\n",
    "    \n",
    "print(ans)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}