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The symmetry approach to the determination of Jacobi’s last multiplier is inverted to provide a source of additional symmetries for the Euler–Poinsot system. These additional symmetries are nonlocal. They provide the symmetries for the representation of the complete symmetry group of the system.

Jacobi's Last Multiplier and the Complete Symmetry Group of the Euler­Poinsot System

Jacobi's Last Multiplier and the Complete Symmetry Group of the EulerPoinsot System