Celtic’s ambitions of a third successive Champions League campaign foundered as they crashed to a 2-0 defeat at Murrayfield.
They never looked like turning around the 4-1 first-leg deficit.
The Celtic defence seemed to part as Michal Zyro and Michal Kucharczyk sealed their fate.
It is a crushing blow for Ronny Deila, whose predecessor Neil Lennon guided the club into the last 16 two years ago and into the group stage last season.
Those two campaigns earned Celtic in the region of £33m in prize money alone.
While they still have a chance of a Europa League run, the absence of Champions League football is a massive financial blow, to say nothing of the prestige that comes with playing in Europe’s premier competition.