LAS CRUCES, N.M. >> Of all the troubling video made public over a year of crisis at New Mexico State — from the brawl involving basketball players to the fatal shooting of a 19-year-old, allegedly by one of those players, to the police interviews with the coach afterward — one 42-minute log of footage might best explain how the school is in this mess.

In that video, captured on police body cam, an officer is interviewing the university’s $500,000-a-year chancellor, Dan Arvizu, and his wife, Sheryl Arvizu. The officer had been called to the couple’s house to resolve a dispute that came out of Sheryl’s suspicion her husband was having an affair with a staff member at New Mexico State.

Dan Arvizu denied the affair. Sheryl Arvizu ended up being booked into jail on a battery charge that was later dismissed. Officials at the school’s Office of Institutional Equity looked into the allegations for possible conflict-of-interest issues, though there was no report filed.

During these fraught days at New Mexico State, where the once-treasured men’s basketball program has been shelved for the season after that fatal shooting and a gruesome allegation of locker-room hazing, the Arvizu police video is a reminder of who is ultimately responsible at a university that has, in many eyes, become unhinged in areas well beyond basketball. The Associated Press spoke to more than a dozen people affiliated with the university, many of whom expressed deep concerns with leadership at the school.

“People are embarrassed,” said Jamie Bronstein, a history professor who also serves as vice chair of NMSU’s faculty senate. “People feel terrible for the students.”

In a letter sent to “Our NMSU Community” after the AP first published this story, Arvizu acknowledged that his family had been through “a deeply personal situation.”

“Importantly, there is no truth to the allegations made that evening,” the letter said. “It was a low point for me, and since that time, my wife and I have worked to rebuild our relationship. I am confident this matter has not impacted my ability to lead our university.”

There have been seven different presidents, interim presidents and chancellors over the past 15 years at the state’s second-biggest university, where more than a quarter of the 14,000 students are the first members of their family to attend college.

“What makes NMSU such a special place is the huge opportunity to change students’ and their families’ lives by increasing our students’ social mobility,” business professor Jim Hoffman said. “This is why excellent leadership, thoughtful decision-making and wise use of (limited) resources are so important.”

New Mexico State has always been able to make a name for itself every March thanks to a men’s basketball program that traditionally thrives on the strength of players and coaches who don’t always take the traditional route to Division I. But this year, the program disintegrated.

The unraveling can be traced to an NMSU football game last Oct. 15 in which a handful of the school’s basketball players got into a brawl with students from rival New Mexico. Video of the melee shows junior forward Mike Peake among those throwing punches.

Five weeks after the fight, the players headed to Albuquerque for one of the season’s most anticipated games, against the Lobos. Peake broke curfew and went to the dormitory complex of one of the students involved in the fight at the football stadium.

Video from the apartment parking lot shows Peake being attacked with a baseball bat before exchanging gunfire with the student, Brandon Travis. Peake was taken to the hospital with leg wounds that required surgery. Travis died from his gunshot wounds.

Peake, who said he was acting in self-defense, has not been charged with a crime. Police video shows Peake in a hospital bed asking to get his gun back because “that’s my only weapon.” Guns are not permitted on New Mexico State’s campus or on school-related road trips.