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                        SINGULAR version 4-1-1
                     University of Kaiserslautern
       Department of Mathematics and Centre for Computer Algebra
     Authors: W. Decker, G.-M. Greuel, G. Pfister, H. Schoenemann

                        Copyright (C) 1986-2018


                               *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 or version 3 of the License).

Some single files have a copyright given within the file:
Singular/links/ndbm.* (BSD)

The following software modules shipped with SINGULAR have their own
copyright: the omalloc library, the readline library, the GNU Multiple
Precision Library (GMP), NTL: A Library for doing Number Theory (NTL),
Flint: Fast Library for Number Theory, the Singular-Factory library, the
Singular-Factory library, the Singular-libfac library, surfex, and, for
the Windows distributions, the Cygwin DLL and the Cygwin tools (Cygwin),
and the XEmacs editor (XEmacs).

Their copyrights and licenses can be found in the accompanying files
COPYING which are distributed along with these packages.  (Since version
3-0-3 of SINGULAR, all parts have GPL or LGPL as (one of) their
licences.)

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
<singular@mathematik.uni-kl.de>.

If you want to be informed of new releases, please register as a
SINGULAR user by sending an email to <singular@mathematik.uni-kl.de>
with subject line 'register' and body containing the following data:
your name, email address, organisation, country and platform(s).

For information on how to cite SINGULAR see
<http://www.singular.uni-kl.de/index.php/how-to-cite-singular>.

You can also support SINGULAR by informing us about your result obtained
by using SINGULAR.

Availability
============

The latest information regarding the status of SINGULAR is always
available from <http://www.singular.uni-kl.de>.

Acknowledgements
================

The development of SINGULAR is directed and coordinated by Wolfram
Decker, Gert-Martin Greuel, Gerhard Pfister, and Hans Scho"nemann.

Current devteams: Abdus Salam School of Mathematical Sciences in Lahore,
BTU Cottbus, Center for Advanced Security Research Darmstadt (CASED), FU
Berlin, Isfahan University of Technology, Mathematisches
Forschunginstitut Oberwolfach, Oklahoma State University, RWTH Aachen,
Universidad de Buenos Aires, Universite' de Versailles
Saint-Quentin-en-Yvelines, University of Go"ttingen, University of
Hannover, University of La Laguna and University of Valladolid.

Current SINGULAR developers: Wolfram Decker, Gert-Martin Greuel, Gerhard
Pfister, Hans Scho"nemann,

Shawki Al-Rashed, Daniel Andres, Mohamed Barakat, Isabel Bermejo,
Muhammad Asan Binyamin, Rene' Birkner, Rocio Blanco, Xenia Bogomolec,
Michael Brickenstein, Stanislav Bulygin, Antonio Campillo, Raza
Choudery, Alexander Dreyer, Christian Eder, Santiago Encinas, Jose
Ignacio Farran, Anne Fru"hbis-Kru"ger, Rosa de Frutos, Eva
Garcia-Llorente, Ignacio Garcia-Marco, Christian Haase, Amir Hashemi,
Fernando Hernando, Bradford Hovinen, Nazeran Idress, Anders Jensen, Lars
Kastner, Junaid Alan Khan, Kai Kru"ger, Santiago Laplagne, Gre'goire
Lecerf, Martin Lee, Viktor Levandovskyy, Benjamin Lorenz, Christoph
Lossen, Thomas Markwig, Hannah Markwig, Irene Marquez, Bernd Martin,
Edgar Martinez, Martin Monerjan, Francisco Monserrat, Oleksandr Motsak,
Andreas Paffenholz, Maria Jesus Pisabarro, Diego Ruano, Afshan Sadiq,
Kristina Schindelar, Mathias Schulze, Frank Seelisch, Andreas Steenpass,
Stefan Steidel, Grischa Studzinski, Katharina Werner and Eva Zerz.

Further contributions to SINGULAR have been made by: Martin Albrecht,
Olaf Bachmann, Muhammad Ahsan Banyamin, Thomas Bauer, Thomas Bayer,
Markus Becker, J. Boehm, Gergo Gyula Borus, Winfried Bruns, Fernando
Hernando Carrillo, Victor Castellanos, Nadine Cremer, Michael Cuntz, Kai
Dehmann, Christian Dingler, Marcin Dumnicki, Stephan Endrass, Vladimir
Gerdt, Philippe Gimenez, Christian Gorzel, Hubert Grassmann, Jan
Hackfeld, Agnes Heydtmann, Dietmar Hillebrand, Tobias Hirsch, Markus
Hochstetter, N. Idrees, Manuel Kauers, Simon King, Sebastian Jambor,
Oliver Labs, Anen Lakhal, Martin Lamm, Francisco Javier Lobillo,
Christoph Mang, Michael Messollen, Andrea Mindnich, Antonio Montes,
Jorge Martin Morales, Thomas Nu"ssler, Wolfgang Neumann, Markus Perling,
Wilfried Pohl, Adrian Popescu, Tetyana Povalyaeva, Carlos Rabelo,
Philipp Renner, J.-J.Salazar-Gonzalez, Alfredo Sanchez-Navarro, Ivor
Saynisch, Jens Schmidt, Thomas Siebert, Christof Soeger, Silke Spang,
William Stein, Ru"diger Stobbe, Henrik Strohmayer, Christian Stussak,
Imade Sulandra, Akira Suzuki, Christine Theis, Enrique Tobis, Alberto
Vigneron-Tenorio, Moritz Wenk, Eric Westenberger, Tim Wichmann, Oliver
Wienand, Denis Yanovich and Oleksandr Yena.

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.

SINGULAR is supported by Project B5 of SFB-TRR 195 'Symbolic Tools in
Mathematics and their Application'.