The Swede’s treble was followed by a strike from Ezequiel Lavezzi as the Parisians ran riot.
They are now two points behind Lyon, who play on Wednesday night with the chance to go five points clear ahead of the two teams’ meeting at the weekend.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.