When it comes to Russia, Americans have more trust in special counsel Robert Mueller’s investigation than they do in President Trump’s denials of collusion, a new USA TODAY/Suffolk University Poll finds.

By wide margins, those surveyed are convinced that Russians meddled in the 2016 presidential election and that they will try it again. More than four in 10 believe Moscow’s interference affected the outcome of the election that put Trump in the White House.

The poll of 1,000 registered voters, taken after Mueller’s team indicted 13 Russians and three companies on criminal charges, spotlight the potential perils ahead for the president if he ends up in a showdown with the special counsel. A 58% majority say they have a lot or some trust in Mueller’s investigation, while a 57% majority say they have little or no trust in Trump’s denials.

“I think he’s doing a heck of a job,” John Shaw, 60, of Madison, Wis., said of Mueller. “He’s not leaking anything. He’s going piece by piece, methodically putting this whole thing together.”