Narrative:

I had taken a break until about 15 minutes prior to EICAS advisories; relief first officer (international relief officer) was in the left seat as pilot not flying (PNF) during that time.automatic throttle-EICAS-reconnected auto throttlesr engine fail eicasr engine fail checklist (do not recall a master caution or warning)selected eng anti-ice as I suspected a flame out due to ignition problems; st. Elmo's fire and ice crystalsengine rolled back to approx half thrust and airspeed slowed 10 to 20 knots by the time the eng re-litfo continued to fly - selected southeast vnav - calculated 35;000 ftadvised ATC we required descent- call was blockedstarted to run checklist; engine auto re-lit before I finished the first page; everything appeared normal so I over-rode the checklist. Considered starting the APU but did not have excess fuel. Flying through 'green' radar returns for 30 to 60 minutes with light chopdeviated up to 40 miles off course - did not fly through any yellow returnslightning on both sides - no strike suspectedheavy st. Elmo's fire - probably for 30 to 60 minutes - exited it shortly after re-lightcruise alt- 39;100. Max alt - 43;1003 man crewcruise mach - .82Called operations and maintenance control to advise of situation and pending logbook entriesall was normal the rest of the flight

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Original NASA ASRS Text

Title: B777 Captain and Relief First Officer reported they successfully re-lit an engine that had failed inflight at FL391.

Narrative: I had taken a break until about 15 minutes prior to EICAS advisories; Relief First Officer (IRO) was in the left seat as Pilot Not Flying (PNF) during that time.AUTO THROTTLE-EICAS-reconnected auto throttlesR ENGINE FAIL EICASR ENGINE FAIL Checklist (do not recall a master caution or warning)Selected Eng anti-ice as I suspected a flame out due to ignition problems; St. Elmo's Fire and ice crystalsEngine rolled back to approx half thrust and airspeed slowed 10 to 20 knots by the time the Eng re-litFO continued to fly - selected SE Vnav - calculated 35;000 FTAdvised ATC we required descent- call was blockedStarted to run checklist; Engine auto re-lit before I finished the first page; everything appeared normal so I over-rode the checklist. Considered starting the APU but did not have excess fuel. Flying through 'green' radar returns for 30 to 60 minutes with light chopDeviated up to 40 miles off course - did not fly through any yellow returnsLightning on both sides - no strike suspectedHeavy St. Elmo's Fire - probably for 30 to 60 minutes - exited it shortly after re-lightCruise alt- 39;100. Max Alt - 43;1003 Man CrewCruise Mach - .82Called Operations and Maintenance Control to advise of situation and pending Logbook entriesAll was normal the rest of the flight

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.