Comment #2 on issue 3548 by [email protected]: Implement algorithm for solving quntics
http://code.google.com/p/sympy/issues/detail?id=3548
You're not going to understand the theory (i.e., any of the proofs) without a semester of graduate level algebra (you need to know about Galois groups), but I think if you just take the facts on faith, you can implement it without understanding too much of what is going on. It looks like linear algebra will help.
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