What IP addresses or URL's does TM need to contact?

I need to justify opening our school network to be able to run tournaments. I think the IT staff will feel more comfortable if I give them a list of IP’s or URL’s (which, yes, I know, has an IP associated) that our competition network will need to access. Can anyone give me a list of IP’s or URL’s that I would need access to in order to have this work? Or will *.robotevents.com cover it all?