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We consider rotating wormhole solutions in general relativity supported by a complex non-phantom spinor field (which provides a nontrivial spacetime topology) and electromagnetic fields. The solutions are asymmetric, regular, asymptotically flat and carry nonzero total angular momentum. The physical properties of the resulting configurations are completely determined by the values of three input quantities: the throat parameter, the spinor frequency, and the electromagnetic coupling constant. The wormholes connect two identical Minkowski spacetimes possessing in general different masses and global charges.

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