Supporting data for "Multipartite entangled states in dipolar quantum simulators" (https://arxiv.org/abs/2205.03910.), by Tommaso Comparin, Fabio Mezzacapo and Tommaso Roscilde. If you use these data in a scientific work, please cite the corresponding article. This dataset includes tVMC and exact results for the two-dimensional dipolar XX model, on square or triangular (periodic) lattices. These results are directly shown in Figures 1-5 of the main text, with the following organization: - See Fig_collective_spin_dynamics for Fig. 1(b); see Fig_GHZ_fidelity for Fig. 1(d). - See Fig_spin_squeezing for Fig. 2. - See Fig_full_counting_statistics_N20 for Fig. 3. - See Fig_Fisher_information_inequality for Fig. 4. - See Fig_GHZ_fidelity for Fig. 5. We also include the exact-diagonalization results shown in Fig. 7 of the Supplementary Material -- see Fig_tower_of_states.