Franz Lehner
Varia
Computer Algebra
Since MuPAD went commercial
I use
Axiom in
combination with Aldor for computations.
Actually, the most useful fork of Axiom at the moment (and perhaps for the next 30 years)
is
FriCAS ;
but see also OpenAxiom.
For group related things GAP is the
most powerful package available.
All these run on Debian GNU/Linux systems.
To be continued ...