CONSERVATIVE PUNDIT Ann Coulter is clear on where she stands on politics. But where she votes is another matter. Election officials in Palm Beach County, Fla., are reportedly investigating why Coulter voted in the wrong precinct in a local election in February - even though a poll worker tried to stop her. Knowingly voting in the wrong precinct is a felony in Florida, and Coulter has hired a former U.S. attorney to defend her there. Coulter registered to vote at her Realtor's address when she bought a $1.8 million Palm Beach home last year. But instead of filing a change of address as a poll worker told her to do, she went ahead and voted in the wrong precinct, the Palm Beach Post reported. Coulter denied knowingly voting in the wrong district in a Fox News Channel interview Tuesday night, and said she actually lives in New York. She said the reporters who wrote about the case are "all retarded" and accused Palm Beach officials of having a sexually transmitted disease. "I think the syphilis has gone to their brains," she said. "This is all false, I'm telling you." Meanwhile, Coulter is also registered to vote in New Canaan, Conn. - though the local registrar told the Daily News yesterday it's illegal to be registered in two places at once. Coulter cast an absentee ballot in New Canaan in the 2004 election. She also owns a $1.5 million condo on Manhattan's East Side but has never registered to vote there.