Notes. source_id is the Gaia identifier of the variable; RA and Dec are given at J2016 from Gaia DR3; d is the distance calculated as described in Sect. 3.1; μ_RA and μ_Dec are the Gaia proper motions; RV lists the radial velocities collected as reported in Appendix A; G, A(G), Period, R₂₁, R₃₁, ϕ₂₁, ϕ₃₁ and Amp(G) are the magnitudes in the G band, the extinction in the same band, the periods, the Fourier parameters and the amplitudes in the G band according to Gaia DR3 (Clementini et al. 2023); [Fe/H] is the metallicity derived in Sect. 3.1; M_G is the absolute magnitude in the G band; Prog. is the most probable class and Alt. Prog. the secondary probable class assigned in terms of Callingham et al. (2022) progenitors obtained in Sect. 3.2; In situ or acc. provides the classification in terms of in situ versus accreted populations by Belokurov & Kravtsov (2024), as determined in Sect. 3.2(in situ = 1; accreted = 0). Only a portion of the table is listed here to guide the reader about its content. A machine-readable version of the full table is published at the CDS (Centre de Données astronomiques de Strasbourg, https://cds.u-strasbg.fr/)