Could you please give some more details? Are you running the server in standalone or domain mode? What browser versions are you using? Can you give the exact version of EAP 6.1 or provide the link you used for download?
I just figured it out. It was the GWT Development Plugin that I had installed on IE, Chrome, and Firefox. When I removed it on each, it let me in.
Yes this can be really annoying. Great that it is working now.