This talk is a report on the Atlas of Lie Groups and Representations project. I will describe an algorithm for computing the unitary dual of a real reductive group, and discuss our computer calculations of E_7 and E_8. Then I will discuss recent progress on proving Arthur's conjectures about the unitary of Arthur packets for real reductive groups. This work is joint with the members of the Atlas project - Lucas Mason-Brown, Stephen Miller, Marc van Leeuwen, Annegret Paul and David Vogan, as well as Dougal Davis and Kari Vilonen.