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I'd suggest stretching the spring a little to center the stick better.
N64 analogs sure do make good grinders. (Mario party anyone?)

Are you sure that there are rubber bands in n64 analogs? because i think it's a spring that centers the stick.

Will any of these articles help?

http://mmmonkey.co.uk/console/nintendo/n64cont.htm

http://codebook.potchgult.com/stickrepair/stickfix.htm