Loomis received an eight-game suspension for failing to ensure the program was stopped after the NFL first asked him to do so in early 2010.
The franchise, meanwhile, was fined $500,000 and docked second-round draft choices this year and next, although NFL Commissioner Roger Goodell has said he may lessen the 2013 penalty by modifying which pick the Saints lose if the club cooperates with the NFL's ongoing probe.
Williams, who was hired as defensive coordinator in St. Louis after last season, has been suspended indefinitely. His penalty will be up for review after next season.
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