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We compute the complete spectrum of the area operator in the looprepresentation of quantum gravity, using recoupling theory. This result extendsprevious derivations, which did not include the ``degenerate'' sector, andagrees with the recently computed spectrum of the connection-representationarea operator.Comment: typos corrected in eqn.(21). Latex with IOP and epsf styles, 1 figure  (eps postscript file), 12 pages. To appear in Class. Quantum Gra

The complete spectrum of the area from recoupling theory in loop quantum gravity