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A Bohr Hamiltonian model suitable for triaxial shapes is found via inverse square potentials in the β part and the solutions of the γ part are obtained via a harmonic oscillator, centered around π/6. The symmetry solutions from a triaxial vibrator to a rigid triaxial rotator are achieved through variational procedure. The solutions of some selected Z(5) symmetry candidates are fitted and compared with the available experimental data.

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