I have Google Two-Factor Auth turned on for my account. When I first log into my account, I have to enter a code I receive via SMS. At this point, my computer should be trusted; that is, I should have a cookie which says that I've done this already. Sure enough, if I sign out, I can sign back in without an SMS code.
However, if I restart my browser, Chrome, I am logged out and have to enter the SMS code again.
I haven't changed any of the cookie settings from defaults, and looking at the settings nothing appears to say that it should reject any cookies.
What's going on here?