Macaulay 2
A system for computations in algebraic geometry and commutative algebra.
Home Page: http://www.math.uiuc.edu/Macaulay2/.
We currently have Macaulay2 v1.14 on the Ubuntu machines. Type M2 to run the program.
DPMMS users with experience of Macaulay 2 include John Ottem and Ruadhai Dervan.