What was found
LT ENGINE FLAMED OUT AT 40,000FT, DURING CRUISE IN TURBULENT AIR. PILOT DESCENDED TO A LOWER ALTITUDE AND PERFORMED A SUCCESSFUL RELIGHT OF THE ENGINE. NO ABNORMAL ENGINE PERFORMANCE ISSUES NOTED. ACFT CONTINUED TO THE INTENDED DESTINATION. THE ACFT LANDED, WHERE THE PILOT PERFORMED THE VISUAL INSPECTIONS OF THE ENGINE INLET AND TAIL PIPE IAW THE FLIGHT MANUAL AND OPERATIONS MANUAL, CHAPTER 7, MECHANICAL IRREGULARITIES, REPORTING AND RECORDING.