Verizon iPhone 5: no 4G/LTE
I have a new iPhone 5 on Verizon. (This is a new account/activation, after finally ditching AT&T).
I live in Chicago which has extensive 4G/LTE on the Verizon network. Since activating the phone, I have yet to see anything other than 3G show up in the status bar, despite traveling a good bit around town and surrounding areas.
I have confirmed in Settings>Network that I have LTE enabled.
Is there something else I need to do with the phone or Verizon to get LTE service?
MacBook Pro with Retina display, Mac OS X (10.7)