SINGULAR version 2-0-0 University of Kaiserslautern Department of Mathematics and Centre for Computer Algebra Authors: G.-M. Greuel, G. Pfister, H. Schoenemann Copyright (C) 1986-2001 *NOTICE* This program 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 ( version 2 of the License ); with the following additional restrictions (which override any conflicting restrictions in the GPL): The following software used with SINGULAR have their own copyright: the omalloc library, the readline library, the Gnu Multiple Precision Library (GMP), the Multi Protocol library (MP), the Singular-Factory library, the Singular-libfac library, and, for the Windows 9X/NT distributions the Cygwin DLL and the Cygwin tools (Cygwin), and the XEmacs editor (XEmacs). Their copyrights and licences can be found in the accompanying files which are distributed along with these packages. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA (see GPL) Please send any comments or bug reports to . Please register yourself as a SINGULAR user by sending email to with the subject line `register'. If you use Singular or parts thereof in a project and/or publish results that were partly obtained using SINGULAR, we ask you to cite SINGULAR and inform us thereof - see `http://www.singular.uni-kl.de/how_to_cite.html', for information on how to cite Singular. Availability ============ The latest information about SINGULAR is always available from `http://www.singular.uni-kl.de'. Acknowledgements ================ The development of SINGULAR is directed and coordinated by Gert-Martin Greuel, Gerhard Pfister, and Hans Scho"nemann. Currently, the SINGULAR team has the following members: Olaf Bachmann, Anne Fru"bis-Kru"ger, Thomas Keilen, Kai Kru"ger, Christoph Lossen, Victor Levandovskyy, Wilfred Pohl, Mathias Schulze, Eric Westenberger, and Tim Wichmann. Past members of the SINGULAR team are: Hubert Grassmann, Wolfgang Neumann, Jens Schmidt, Ru"diger Stobbe. Further contributions to SINGULAR were made by: Thomas Bayer, Isabelle Bermejo, Stephan Endrass, Jose Ignacio Farran Martin, Wolfram Decker, Philippe Gimenez, Christian Gorzel, Agnes Heydtmann, Dietmar Hillebrand, Tobias Hirsch, Martin Lamm, Bernd Martin, Michael Messollen, Thomas Nu"ssler, Moritz Wenk. We should like to acknowledge the financial support given by the Volkswagen-Stiftung, the Deutsche Forschungsgemeinschaft and the Stiftung fu"r Innovation des Landes Rheinland-Pfalz to the SINGULAR project.