France united as Ireland fought to close the six-point gap in the last 20 minutes.
Ireland took a Joey Carbery penalty to trail only 27-24 with seven minutes to go, and French fans broke out into the national anthem.They roared in the 77th when Jaminet sprinted over in the left corner after brilliant work from replacement lock Thibaud Flament.
But the try wasn't given because Jaminet couldn't ground the ball in Dan Sheehan's wrap tackle, and Jaminet, instead, slotted his sixth penalty.
Moments later, flyhalf Romain Ntamack kicked the ball out to the biggest roar of the evening, the victory leaving France as the only unbeaten side through two rounds.
Arguably the best halves in world rugby, who have honed their partnership at Toulouse, took little more than 60 seconds to unlock Ireland's renowned defense.
After Dupont's quick throw-in and prop Uini Atonio's barging run, a surrounded Ntamack threw a no-look, one-handed offload inside to Dupont to sprint over for a converted try. Jaminet added a penalty in the seventh minute for 10-0 and the excitement was just starting as the crowd watched a classic unfold.