PARI/GPの紹介 ref: http://qiita.com/mather314/items/0399668ef3fbbfb4951e

file0.txt

$ brew install pari

file1.txt

$ gp
                                                          GP/PARI CALCULATOR Version 2.5.4 (released)
                                                       i386 running darwin (x86-64 kernel) 64-bit version
                                             compiled: Oct 29 2013, gcc-5.0 (clang-500.2.79) (based on LLVM 3.3svn)
                                                         (readline v6.2 enabled, extended help enabled)

                                                             Copyright (C) 2000-2013 The PARI Group

PARI/GP is free software, covered by the GNU General Public License, and comes WITHOUT ANY WARRANTY WHATSOEVER.

Type ? for help, \q to quit.
Type ?12 for how to get moral (and possibly technical) support.

parisize = 8000000, primelimit = 500509

file10.txt

? galoisinit(x^2 + 1)
%3 = [x^2 + 1, [5, 30, 931322574615478515625], [349392779948853795807, 581929794666624719818]~, [1, 1; 581929794666624719818, 349392779948853795807], 2, [Vecsmall([1, 2]), Vecsmall([2, 1])], [Vecsmall([2, 1])], Vecsmall([2])]

file11.txt

? plot(X=-2,2,X^2+X-1)

        5 |''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''"
          |                                                             "|
          |                                                            " |
          |                                                           x  |
          |                                                          x   |
          |                                                         "    |
          |                                                        "     |
          |                                                       "      |
          |                                                     _"       |
          |                                                    _         |
          |                                                   x          |
          |                                                  x           |
          |                                                _"            |
          |                                               x              |
          "_                                            _"               |
          | "_                                         x                 |
          |   x_                                     x"                  |
          ,,,,,,x_,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,x",,,,,,,,,,,,,,,,,,,,,
          |       x_                            _x"                      |
          |         "x_                       _x                         |
          |            "x_                _x""                           |
-1.249433 |...............""xxx_______xx""...............................|
          -2                                                             2
? plot(X=-Pi, Pi, sin(X))

0.9996892 |'''''''''''''''''''''''''''''''''''''''''''_x""""x_'''''''''''|
          |                                         x"        x_         |
          |                                       _"            x        |
          |                                      x               "       |
          |                                     x                 "_     |
          |                                    x                    _    |
          |                                   "                      _   |
          |                                  "                        _  |
          |                                 "                          _ |
          |                                x                            _|
          _                               x                              _
          ```````````````````````````````x````````````````````````````````
          |"                            x                                |
          | "                          _                                 |
          |  "                        _                                  |
          |   "                      _                                   |
          |    "                    x                                    |
          |     "_                 x                                     |
          |       _               x                                      |
          |        x            _"                                       |
          |         "x        _x                                         |
-0.999689 |..........."x____x"...........................................|
          -3.141593                                               3.141593

file2.txt

? 1 + 2
%1 = 3
? 1 - 2
%2 = -1
? 5 * 10
%3 = 50
? 3 / 10
%4 = 3/10
? %4 * 10
%5 = 3

file3.txt

? 2^10
%6 = 1024

file4.txt

? 5!
%7 = 120

file5.txt

? 10 % 3
%9 = 1

file6.txt

? exp(1)
%12 = 2.7182818284590452353602874713526624978
? Pi
%15 = 3.1415926535897932384626433832795028842
? 1 + I
%18 = 1 + I
? %18^2
%19 = 2*I

file7.txt

? exp(1)^(I * Pi)
%20 = -1.0000000000000000000000000000000000000 + 0.E-37*I

file8.txt

? x^2 + x + 1
%1 = x^2 + x + 1

file9.txt

? factor(x^2 - 1)
%2 =
[x - 1 1]

[x + 1 1]