User’s Guide to PARI / GP C. Batut, K. Belabas, D. Bernardi, H. Cohen, M. Olivier Laboratoire A2X, U.M.R. 9936 du C.N.R.S. Universit´eBordeaux I, 351 Cours de la Lib´eration 33405 TALENCE Cedex, FRANCE e-mail:
[email protected] Home Page: http://pari.math.u-bordeaux.fr/ Primary ftp site: ftp://pari.math.u-bordeaux.fr/pub/pari/ last updated 11 December 2003 for version 2.2.7 Copyright c 2000–2003 The PARI Group ° Permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and this permission notice are preserved on all copies. Permission is granted to copy and distribute modified versions, or translations, of this manual under the conditions for verbatim copying, provided also that the entire resulting derived work is distributed under the terms of a permission notice identical to this one. PARI/GP is Copyright c 2000–2003 The PARI Group ° PARI/GP is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation. It is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY WHATSOEVER. Table of Contents Chapter1: OverviewofthePARIsystem . ...........5 1.1Introduction ..................................... ....... 5 1.2ThePARItypes..................................... ...... 6 1.3Operationsandfunctions. ...........9 Chapter 2: Specific Use of the GP Calculator . ............ 13 2.1Defaultsandoutputformats . ............14 2.2Simplemetacommands. ........21 2.3InputformatsforthePARItypes . .............25 2.4GPoperators ....................................... .28 2.5ThegeneralGPinputline . ........31 2.6 The GP/PARI programming language . .............32 2.7Errorsanderrorrecovery. .........42 2.8 Interfacing GP with other languages .