Yesterday google pushed the 4.0.4 update to AOSP. Google did begin to rollout this update to several devices such as the Motorola XOOM, The Nexus S, and the GSM version of the Galaxy Nexus. The LTE Verizon version of the Galaxy Nexus will not receive the update for the next couple of weeks. Who needs the carriers or the manufactures to roll out an update when you have the Android Community hard at work to deliver you what you want! MrBirdman of Rootzwiki worked all day yesterday to have out a flashable build of the new update for the LTE version of the Galaxy Nexus! The install is very easy. The only requirement is that your phone be unlocked, it is rooted, and it has clockworkmod recovery installed. From there its as easy as flashing any other Rom.
Just Download the file to your device
Wipe data/factory reset
install zip from sdcard, choose zip from sdcard (navigate to the 4.0.4 rom and select it)
in the same session intall gapps, and root, and dictfix.zip
Then enjoy your freshly updated Nexus Device no thanks to Verizon!
Grab your files via Rootzwiki and thank @MrBirdman