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With the match locked at 11-11 early in the second half, Gabrillagues was sinbinned by English referee Luke Pearce for a high tackle on Ryan Crotty, but television replays showed the 25-year-old was nowhere near the second five-eighth’s neck or head.
Codie Taylor and Ben Smith scored tries while Gabrillagues was off the field, and Rieko Ioane added a third just seconds after the lock returned, to ease the All Blacks 19 points clear with 20 minutes remaining.
Damian McKenzie, Ngani Laumape, Ioane and Ardie Savea all then scored tries as the All Blacks opened the visitors up in the final quarter to clinch a 12th successive win over France and continue their 24-year unbeaten run at Eden Park.
"We were behind on the scoreboard and as soon as we drew even, the boys really picked up again and it felt good," All Blacks captain Sam Whitelock said in a post-match interview.
"We just had to hold on to the ball, couple of times in that first half we played, dropped the ball and gave them the opportunities.
"I thought the second half we were a lot better. We capitalised on those opportunities."
Despite the yellow card blowing the game open, the world champion had started to look ominous, dominating possession and territory, and it looked like it would only be a matter of time before the French finally crumbled.
The fact France held an 11-8 halftime lead was testament to its defensive strength, epitomised by its stinging goal-line tackling when the All Blacks hammered away in the final few minutes before the break, without success.
Until then, the visitors had lived on All Black mistakes. Remy Grosso’s early try was set up after a poor attacking kick had allowed Teddy Thomas to counter and set up field position.
The All Blacks, however, had turned the ball over only for Ben Smith to pass the ball straight to Grosso.
Both of Morgan Parra’s first half penalties were also needless. Aaron Smith’s decision to backchat Pearce, which cost his side 10m and put the France scrumhalf within kicking range was the worst of the transgressions.
Despite the All Blacks’ errors, they did look dangerous when they had the ball in hand and Beauden Barrett’s try was the result of some superb interplay with his two brothers.
The All Blacks flyhalf evened the score with his second penalty in the 48th minute but when Gabrillagues was carded three minutes later, the home side cut loose and scored seven tries in the second half.
"It was difficult. The All Blacks accelerated after the yellow card and for us it was difficult in defence," France captain Mathieu Bastareaud said.
"We didn’t talk to each other in defence and after the yellow card it was difficult."
The second test is in Wellington next week and the third in Dunedin on June 23.
All Blacks v France
New Zealand 52
Rieko Ioane 2, Beauden Barrett, Ngani Laumape, Damian McKenzie, Ardie Savea, Ben Smith, Codie Taylor tries; Barrett 3 con, 2 pen)
Remy Grosso try; Morgan Parra 2 pen
Halftime: 11-8 France