Harvey police and fire department employees were hit with major layoffs Tuesday, one day after an adverse court ruling spurred city officials to convene an emergency meeting with workers. Officials did not respond to a request for comment on Tuesday but the lawyer who represents both Harvey’s police and fire unions said 18 rank-and-file firefighters and 13 patrolmen are believed to have been let go. Another nine police department employees who are not sworn officers — including five booking officers and traffic and records clerks — also had their positions cut, said Dominique Randle-El, the president of AFSCME Council 31 Local 2404. Overall, the 40 cuts represent about a quarter of the city’s police union members, 40 percent of its firefighters union and 55 percent of its non-sworn police personnel, union officials said.