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The calculation of the parity-violating polarizations in the externalelectric field, which are associated with the electron electric dipole moment($e$EDM) and magnetic quadrupole moment (MQM) of the $^{175}$Lu nucleus, aswell as the determination of the rovibrational structure for the$^{175}$LuOH$^+$ cation, is performed. Beyond the bending of the molecule, theslight effect of the stretching of the distance between Lu and OH is taken intoaccount. This study is required for the preparation of the experiment and forthe extraction of the $e$EDM and MQM values of $^{175}$Lu from futuremeasurements.

Magnetic quadrupole moment of $^{175}$Lu and parity-violating polarization degree of levels in $^{175}$LuOH$^+$