What was found
JFK - AIR TURNBACK - FLT 0011 - AFTER TAKEOFF FROM JFK EN ROUTE TO PHX RECEIVED A DUAL FLIGHT MANAGEMENT GUIDANCE COMPUTER FAIL AND IR 3 FAULT, TURNED BACK TO JFK. MAINTENANCE PERFORMED A COMPLETE SYSTEM RESET. PERFORMED AUTO FLIGHT SYSTEM TEST IAW AMM 22-46-00-501, PERFORMED FLIGHT MANAGEMENT SYSTEM TEST IAW AMM 22-70--00-501, AND PERFORMED AIR DATA TEST FOR IR 3 FAULT IAW AMM 34-13-00-501, NO FAULTS WERE NOTED.