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 Encounter at Farpoint by David Gerrold
The U.S.S. Enterprise is en route to Cygnus IV, home of the technologically illiterate Bandi and their mysteriously advanced Farpoint Station. After adding to its crew complement from Deneb IV they are harassed and prosecuted by an omnipotent being named Q, who claims that humanity has not progressed beyond barbarism. Captain Picard and the crew of the Enterprise must defend themselves by solving the mystery of Farpoint Station in a manner satisfactory to their newest judge and nemesis.