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The Eagles opened the second half on a 9-3 pace, including 3-pointers by Calvin Wishart and Brown, and were up by as many as 25.
The Eagles, who remain in a tight bunch with the top five teams in the Sun Belt, scored the most points in a conference game since 2005.
JaKeenan Gant led Louisiana-Lafayette with 23 points and Marcus Stroman added 16.
The Ragin’ Cajuns (13-10, 4-6) have lost their third in a row, giving up 104, 96 and 103 points.