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Deborski, have you read Sagan's original novel? It really bugged me that the movie cut the "message encoded in the decimals of π" ending, although I understood that it would've been rather difficult to film effectively. I still loved the movie, though -- I've been a Jodie Foster fan since I was a kid.
Here's the beautifully-done opening shot... note that the very last radio signal we can hear from Earth is FDR saying, in March 1933, "We have nothing to fear but fear itself":