Rep. Martin Heinrich (D) held a 7-point lead in the state’s open-seat Senate race and Michelle Lujan Grisham (D) led by 12 points in the race to replace Heinrich in the House, according to a new independent poll conducted for the Albuquerque Journal.

Heinrich led former Rep. Heather Wilson (R), 49 percent to 42 percent, and Lujan Grisham led Janice Arnold-Jones (R) in the Albuquerque-based 1st district, 46 percent to 34 percent.

The polls were conducted Sept. 3-6 by Research & Polling. The Senate poll included a sample of 667 likely voters with a 3.8-point margin of error. The 1st district poll surveyed 409 likely voters with a 4.8-point margin of error.

In the state’s two less competitive Congressional districts, Reps. Steve Pearce (R) and Ben Ray Luján (D) each led by 26 points over their respective challengers.