Klopp's side started quickly and were 3-0 up by half time, then not letting up and scoring a further four goals in the second period to send Spartak Moscow back to Russia on the end of a 7-0 hiding.
Sevilla qualified for the round of sixteen, following a 1-1 away draw against bottom of the table Maribor.
Clinching the chance to qualify for Europe's elite club competition led to scenes of delirium here on the final day of the Premier League campaign just seven months ago.
Barcelona are interested in recruiting Coutinho in the near future and see him as a perfect successor to Andres Iniesta who is now entering the latter years of his career.
In the absence of Jordan Henderson, the Brazilian slipped on the captain's armband and filled the role with aplomb, showing a new side of his game to Liverpool fans.
Topping Group E means Jurgen Klopp's side avoid the likes of PSG, Barcelona and Roma and even though heavyweights Bayern Munich, Juventus and Real Madrid lie in wait after finishing second in their pools, Gomez believes those sides have as much to worry about as Liverpool do.
Paolo Guerrero: FPF confirma que suspensión se extiende por 20 días más
Las autoridades decidieron extenderle la sanción diez días más, por lo que su presencia en la final de la Copa quedó descartada. Esto, seguramente, se definirá tras el fallo de FIFA sobre Paolo Guerrero .
They had targeted Liverpool winger Bobby Adenkanye by making monkey chants and the visiting coaching staff reported their distaste to UEFA officials at the time. Ten minutes prior to the halftime whistle, Salah found Mane with a beautiful pass but the latter's shot went above the crossbar.
Steven Gerrard, the team's manager, tried to settle down the youngster and academy director Alex Inglethorpe was involved in a conversation with the referee. Dortmund clinched third-spot ahead of APOEL and a place in the Europa League knockout stages.
The previous two occasions in which Liverpool had been in the Champions League (2009-10, 2014-15), they failed miserably to even clamber out of the group.
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That's not to mention the classy gesture of handing over the armband when Milner entered the fray.