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In this paper, a method to construct topological template in terms ofsymbolic dynamics for the diamagnetic Kepler problem is proposed. To confirmthe topological template, rotation numbers of invariant manifolds aroundunstable periodic orbits in a phase space are taken as an object of comparison.The rotation numbers are determined from the definition and connected withsymbolic sequences encoding the periodic orbits in a reduced Poincar\'esection. Only symbolic codes with inverse ordering in the forward mapping cancontribute to the rotation of invariant manifolds around the periodic orbits.By using symbolic ordering, the reduced Poincar\'e section is constricted alongstable manifolds and a topological template, which preserves the ordering offorward sequences and can be used to extract the rotation numbers, isestablished. The rotation numbers computed from the topological template arethe same as those computed from their original definition.

Rotation numbers of invariant manifolds around unstable periodic orbits for the diamagnetic Kepler problem