A new poll conducted for Rep. Martin Heinrich showed the Democrat’s lead over former Rep. Heather Wilson (R) has widened to at least 12 points in their battle for New Mexico’s open Senate seat.

The latest figures show Heinrich leading Wilson 55 percent to 42 percent in a two-way contest. The poll also accounted for Independent American Party candidate Jon Barrie. In a three-way contest, it showed Heinrich leading Wilson 51 percent to 39 percent, with Barrie receiving 8 percent of the vote.

The poll was conducted Oct. 4-7 by GBA Strategies. It included 600 likely voters, reached on landlines and cellphones, whose party affiliations reflected the likely electorate in New Mexico. There was a 4-point margin of error.

Roll Call now rates New Mexico’s open-seat Senate race as Likely Democratic.