screen cracked + encrypted + not rooted topic

hi,

Today i cracked my galaxy nexus screen and only a small portion of the screen is responsive.

I want to back up my files but I need the phone to be on for that.

The phone is turned off and in order to even turn it on i need to pass the decryption screen, which i can't of course.
if it's relevant: the phone was never rooted...

any idea that could help?

thanks in advance!