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A large scale numerical simulation in the field of lattice gauge theory has been performed, relevant for elementary particle physics. Lattices of size 64×243 have been studied on a cluster of IBM RISC System/6000-workstations, on an IBM 9076 SP1 parallel computer with 8 nodes and on other parallel computers. A sustained performance of 30 MFLOPS/node has been reached (without special tuning steps),...