For 10 points, name this federal research facility in a certain Northern California city that, along with a nearby facility, is named after the inventor of the cyclotron.
Edward Teller was the second director of this institution currently headed by George Miller.  In 2006, it installed several dozen modern Gatling Guns against opposition from the local populace.  One of its researchers, John Hunter, proposed a supergun to launch satellites into space, while the (*) National Ignition Facility here will study the conditions necessary to initiate controlled nuclear fusion.    Its primary weapons research at its Superblock involves the Stockpile Stability Program, which uses supercomputer modeling to assess weapons' readiness, and its Titan laser is the world's most powerful.  For 10 points, name this federal research facility in a certain Northern California city that, along with a nearby facility, is named after the inventor of the cyclotron.
Edward Teller was the second director of this institution currently headed by George Miller.  
{L}awrence {L}ivermore {N}ational {L}aboratory [accept {Lawrence} {Livermore} National Laboratory; prompt on anything mentioning {Lawrence} by itself; do not accept “Lawrence Berkeley National Laboratory”] (3) [RA]