  Using the HEGRA system of imaging atmospheric Cherenkov telescopes, the
Andromeda galaxy (M31) was surveyed for TeV gamma ray emission. Given the large
field of view of the HEGRA telescopes, three pointings were sufficient to cover
all of M31, including also M32 and NGC205. No indications for point sources of
TeV gamma rays were found. Upper limits are given at a level of a few percent
of the Crab flux. A specific search for monoenergetic gamma-ray lines from
annihilation of supersymmetric dark matter particles accumulating near the
center of M31 resulted in flux limits in the 10^-13/cm^2s range, well above the
predicted MSSM flux levels except for models with pronounced dark-matter spikes
or strongly enhanced annihilation rates.
