(Revised May 23, 1996)

Here is a list and a brief decription of electronic files stored in
phi.zip which accompany

`On Clifford algebras of a bilinear form with an antisymmetric part',
R. Ab\lamowicz and P. Lounesto, in "Clifford Algebras with Numeric and
Symbolic Computations", eds. R. Ab\lamowicz, P. Lounesto, and J. Parra,
Birkh\"{a}user, Boston, 1996, pages 167 -- 188 (ISBN 0-8176-3907-1)


These files have been prepared with Maple V (R. 3) under Windows 95 running
a Maple package

'CLIFFORD - A Maple V (R. 3) Package for Clifford Algebra Computations'
              (version 2, February 15, 1996)                       

                            by
                      
                      Rafal Ablamowicz
                 Department of Mathematics
                     Gannon University
                       Erie, PA 16541
                ablamowicz@cluster.gannon.edu
                   phone: USA(814)871-7592
                     fax: USA(814)871-7382

The 'Clifford' package is available in the clioct.zip file.  See readme.txt
for more instructions.

NOTES:
1. Due to some changes in Maple's programming language from release 3
   to release 4, 'Clifford' ver. 2 does not work yet under the newest
   release 4. Plans are under way to acommodate these changes.

2. In order to execute files described below, install the 'Clifford'
   package per instructions contained in the readme.txt file.

Permission is given to download these files as long as they are for
your individual use and not for distribution of any kind including
posting these files on any other server but this one.

A theoretical background for the files described below can be found
in the reference cited above.

                Type    Size    Description

readme2.txt   -  ASCII   3,751   This readme2.txt file.

phitab.ms     -  ASCII  71,405   A Maple V (R. 3) worksheet where the
                                 algebra isomorphism phi: Cl(Q) -> Cl(B)
                                 discussed in the paper is defined and its
                                 values are calculated.  The values of phi
                                 are stored in phimulta.m file.

phitab.txt    -  ASCII   6.102   .txt version of phitab.ms.

phimulta.m    - binary  58,392   A remember table of phi.

test19.ms     - ASCII   61,084   A Maple V (R. 3) worksheet where it is
                                 shown that phi is an algebra isomorphism.

test19.txt    - ASCII   10,279   .txt version of test19.ms

phi.zip       - binary  51,974   A .zip file containing all the above files.


THE SIMPLEST WAY TO DOWNLOAD FILES

The simplest way to download these files is to download the .zip file
phi.zip and then unzip it using pkunzip.  After that, pick and choose
files you want to use (either the .ms or .txt files).  For more information
about these files see the worksheets phitab.* and test19.*, and the paper.


FOR WINDOWS USERS

If you run Maple V R. 3 under Windows 3.1, 3.11, or Windows 95, first
install the 'Clifford' package per instructions in readme.txt.

Then, view and/or execute phitab.ms and test19.ms.


FOR OTHER OPERATING SYSTEMS

If you run Maple V R. 3 under DOS or some other operating system, first
install the 'Clifford' package per instructions in readme.txt.

Then, view and/or execute phitab.ms and test19.ms.


LOADING PACKAGES

To load the 'Clifford' package, while in Maple session, type

> restart: with(Clifford);


Please direct all questions and comments to:

Rafal Ablamowicz
Department of Mathematics
Gannon University
Erie, PA 16541
ablamowicz@cluster.gannon.edu
phone: USA(814)871-7592
  fax: USA(814)871-7382

Erie, May 23, 1996
