Special Agent Todd Hudson in Nashville says Travis Reinking "wanted to set up a meeting with the president."
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Hudson says Reinking tried to cross bike racks near the White House grounds that were part of security barriers. Reinking was asked to leave the restricted area, and when he declined, Hudson says he was arrested on a charge of unlawful entry.
Reinking, who is from Morton, Illinois, was subsequently released and was later interviewed by the FBI and authorities in Tazewell County, Illinois.
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Police have issued arrest warrants charging the 29-year-old Reinking with multiple counts of criminal homicide in Sunday's shootings at a Nashville Waffle House that killed four people.
RELATED: 4 dead, 2 wounded in Waffle House shooting in Tennessee, person of interest ID'd