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This paper describes computational methods of a Poincare map using parallel computation of data tables and interpolation. The Poincare map of a chaotic torus magnetic field line caused by the perturbation coil is calculated as the test problem. Data tables are made by the geometric parallelization method. The calculation program is implemented on the HITACHI SR2201 parallel computer and microcomputers. Two calculation methods using data tables are presented. Calculation time of making data tables and the Poincare map is reported.