I think sneakers still holds the record for the best number theory jargon in movie history:
"While the number-field sieve is the best method currently known, there exists an intriguing possibility for a far more elegant approach. Here we would find a composition of extensions, each Abelian over the rationals, and hence contained in a single cyclotomic field. Using the Artin map, we might induce homomorphisms from the principal orders in each of these fields that z by f z. These maps could then be used to combine splitting information from all the fields... this in turn would require the standard Kummer extensions that nontorsion form of the Jacobians of the Fermat curves gives rise to. It would be a breakthrough of Gaussian proportions and allow us to acquire the solution in a dramatically more efficient manner. Now, I should emphasize that such an approach is purely theoretical. So far, no one has been able to accomplish such constructions, yet."