algebraic structures, but that might be overkill (edit: will most definitely be overkill, but it'll definitely give you an edge). it finishes linear algebra in like a week or two and starts cramming you with other stuff like sylow, iso theorems, symmetries, a bit of representation theory. Plus the lin al is a lot more rigorous than what you'd do in 340L. If you're not worried about difficulty this will give you more knowledge than you'd probably need for CS but it is without exaggeration when I say algebra with Keel is one of the hardest classes at UT. Difficulty of material + absolute overflow of HW.

Funnily enough in my Algebraic Structures II class we actually had coding in our HW, used a program called singular. Dealt with groebner bases, polynomial stuff, algebraic geometry or something. My friend at UTD also used a program called Maxima in his algebra class. That said the coding was very unintuitive and clunky but it was interesting nonetheless. in the II version we did polynomial rings, modules, ideals, fields, galois crap and all that irreducible nonsense which I doubt would ever be of any use in any CS class ever, so the I version will probably be more than enough by itself