  A model-independent search for deviations from the Standard Model prediction
is performed in e^+ p and e^- p collisions at HERA using H1 data corresponding
to an integrated luminosity of 117 pb^-1. For the first time all event
topologies involving isolated electrons, photons, muons, neutrinos and jets
with high transverse momenta are investigated in a single analysis. Events are
assigned to exclusive classes according to their final state. A statistical
algorithm is developed to search for deviations from the Standard Model in the
distributions of the scalar sum of transverse momenta or invariant mass of
final state particles and to quantify their significance. A good agreement with
the Standard Model prediction is observed in most of the event classes. The
most significant deviation is found for a topology containing an isolated muon,
missing transverse momentum and a jet, consistent with a previously reported
observation.
