Emmanuel Macron's camp should perhaps keep the champagne on ice a little longer.
The young independent centrist's qualification on Sunday for the runoff of France's presidential election in two weeks' time will certainly bring a sigh of relief in European capitals and financial markets; opinion polls suggest he will beat his far-right rival Marine Le Pen with ease.
According to an almost-complete count, Macron beat Le Pen by around 24 percent to 22 percent.
It may have been a huge triumph for a 39-year-old never elected to public office who was virtually unknown in France before becoming economy minister three years ago, and only founded his political movement last year.
But it was also, in a packed field, the lowest score of any first-round winner since 2002.
This time, the mainstream conservatives and Socialists also quickly urged their supporters to vote to block Marine Le Pen.
"He's going to adopt a rallying posture just like (former president Jacques) Chirac did in 2002," said Francois Kraus of pollsters Ifop.
But in 2017, the endorsements of conservatives and Socialists combined accounted for only 26 percent of votes.
Then, in turn, he might struggle to turn his promise to transcend traditional party divides into a working majority for his En Marche! (Onwards!) movement in June's parliamentary election, six weeks later.
Macron addressed that head-on in his victory speech, saying that "the power of the momentum behind me will be the key to my ability to lead and govern".
Two surveys conducted on Sunday put him on 64 and 62 percent respectively for the second round.
But in Le Pen, the former Rothschild investment banker faces a formidable rival.
"It's more complicated than it looks – a new campaign is starting," said Francois Miquet-Marty of pollster Viavoice.
And endorsements from mainstream parties could also work against Macron in a country where the divide between the 'haves' and 'have-nots' has been pushing up support year after year for Le Pen's message that only she can defend French workers' jobs and rights.
On Sunday night, Le Pen and her allies dismissed Macron as the candidate of a dying establishment. Speaking to supporters, she said:
Miquet-Marty said Macron would "need a more offensive approach, and to distill the message that a Macron presidency would be more peaceful than a Le Pen one".
Again, Macron hinted at this when he told supporters:
In his favour, analysts say, is the fact that 35 percent of voters thought Macron was the best candidate to put the French economy on the right track, against only 20 percent for Le Pen, according to a recent Odoxa poll.
Many analysts are now turning their attention beyond his expected victory in the second round to ask whether he can gather the political muscle to enact his programme.
Macron says his party will field candidates in all 577 constituencies, but he has also made clear that he will welcome those from other parties who share his views.
Some 50 Socialist legislators have already signed up to his movement, including some heavyweights, but the bigger his second-round score, the more attractive it will be for others to follow suit. He might have to make do with a coalition government.
To many analysts and investors, the question is whether Macron's government, of whatever shape, can push through policies – such as relaxing some labour laws – that are likely to run into public resistance and have defeated previous, seemingly stronger administrations.
Raphael Brun-Aguerre of JPMorgan Chase Bank said it would be very difficult for Macron to secure a majority in the lower house, adding: "We thus expect him to try to form a cross-party coalition around a narrow set of reforms."
Macron's answer is that he has spent the last year proving the pundits wrong, and will do so again.
"They're taking the French for idiots," he said at a recent rally. "The French are consistent. That's why, six weeks later, they will give us a majority to govern and legislate."
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