Investigators are piecing together the timeline of Loughner's frenzied morning before the attack that killed six.
"What he did and the morning before the shooting, we're just trying to find all that out," said sheriff's Capt. Chris Nanos.
Nanos wouldn't say what Loughner bought during two trips to Walmart.
After the shopping trips, Loughner ran a red light but was let off with a warning, the Arizona Game and Fish Department said. The officer took Loughner's driver's license and vehicle registration information at but found no outstanding warrants and didn't search the car, a late 1960s dark gray Chevy Nova.
About , Randy Loughner saw his son walk to one of the family's vehicles and take a black bag out of the trunk.
"The father went out and said, 'What's that?' and he mumbled something and took off running," said Sheriff Clarence Dupnik.
Randy Loughner got in his truck and chased his son, but Jared ran into the desert.
At , police say Jared Loughner showed up at a
Hours after the attack, sheriff's deputies swarmed the Loughners' home and removed what they describe as evidence Loughner was targeting Giffords. Among the handwritten notes was one with the words "Die, bitch," which authorities believe was a reference to Giffords.
Investigators with the Pima County Sheriff's Department previously said they found handwritten notes in Loughner's safe reading "I planned ahead," "My assassination" and "Giffords." Capt. Chris Nanos said all the writings were either in an envelope or on a form letter Giffords' office sent him in 2007 after he signed in at one of her "Congress on Your Corner" events - the same kind of gathering where the massacre occurred.
Meanwhile, the city held a tribute to victims the eve of a presidential visit.
On Tuesday night, several hundred mourners filled a
"I know she is singing with us tonight," said Tucson Bishop Gerald Kicanas, who presided over the service.
President Barack Obama visits
In one apparent reaction to the shooting, the FBI said background checks for handgun sales jumped in
Still, there were 263 background checks in
Loughner's parents, silent and holed up in their home since attack, issued a statement Tuesday, expressing remorse over the shooting.
"There are no words that can possibly express how we feel," Randy and Amy Loughner wrote in a statement handed to reporters waiting outside their house. "We wish that there were, so we could make you feel better. We don't understand why this happened.
"We care very deeply about the victims and their families. We are so very sorry for their loss."
Four days after a bullet went through Giffords' head, she was making small movements on her own and tugging at her hospital gown, though she remained in critical condition.
"She was able to actually even feel her wounds herself," said Dr. Peter Rhee, trauma chief at the
The three-term Democrat was expected to live and has been making progress. Giffords is more alert after nurses eased her sedation. She can breathe on her own, respond to voice commands and even make small spontaneous motions.
As she improved, authorities continued their investigation of Loughner.
Sheriff's deputies had been to the Loughner home at least once before the attack, spokesman Jason Ogan said. He didn't know why or when the visit occurred, and said department lawyers were reviewing the paperwork and expected to release it Wednesday.
The visits were for nonviolent incidents, including a report by Jared Loughner of identity theft, a noise complaint and Amy Loughner's claim that someone had stolen her license plate sticker, according to a report by The Wall Street Journal.
In addition to the new details about the hours before the shooting, interviews with those who knew Loughner or his family painted a picture of a young loner who tried to fit in.
Before everything fell apart, he went through the motions as many young men do nowadays: Living at home with his parents, working low-wage jobs at big brand stores and volunteering time doing things he liked.
None of it worked. His relationship with his parents was strained. He clashed with co-workers and police. And he couldn't follow the rules at an animal shelter where he spent some time.
Loughner grew up on an unremarkable
Solitude found Loughner, even when he tried to escape it. He had buddies but always fell out of touch, typically severing the friendship with a text message. Zach Osler was one such friend.
Loughner's father moved into the house as a bachelor, and eventually got married, longtime next-door neighbor George Gayan said. Property records show Randy Loughner has lived there since 1977. Unlike other homes on the block, the Loughners' is obscured by plants. It was assessed in 2010 at $137,842.
Randy Loughner apparently has not worked for years - at least outside his home.
Amy Loughner got a job with the county parks and recreation department just before Jared was born, and since at least 2002 has been the supervisor for
Associated Press writers Alicia Chang and Gillian Flaccus in