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The Alvin Ailey American Dance Theater had been working on a new piece by Donald Byrd, the aptly titled “Fin de Siecle,” but ultimately they decided it was too brooding and depressing for Washington audiences. This being the company’s 40th anniversary, it’s no wonder that they’re offering a foolproof program of revamped favorites. Ailey’s classic works, “Revelations” and “Night Creature,” appear on the program along with the area premiere of George Faison’s “Slaves” and the return of Faison favorite “Suite Otis.” Longtime dance fans who make a tradition out of seeing Ailey won’t find much new work, but some things you never tire of seeing. At 8 p.m. tonight-Saturday and 2 p.m. Saturday & Sunday at the Kennedy Center Opera House. $28-50. (202) 467-4600. (HB)