A model-independent search for
deviations from the Standard Model prediction has been performed
in e^+ p and e^- p collisions at HERA using H1 data
corresponding to an integrated luminosity of 115 \mbox{pb}^{-1}.
All experimentally measurable event topologies
involving electrons, photons, muons, neutrinos and jets with
high transverse momenta have been investigated.
Events are classified into exclusive event classes according to their
final state.
A new algorithm has been developed to look for
regions with large
deviations from the Standard Model in the invariant mass and sum of
transverse momenta distributions and to quantify the
significance of the fluctuations observed.
A good agreement with the Standard Model prediction is found in most
of the event classes.
The largest deviation was found in \mujnp topologies
where deviations have been previously observed.
About 2\% of hypothetical Monte Carlo experiments would produce
deviations more significant than the
one observed in the corresponding sum of transverse momenta distribution.