This dataset provides the background spacetime and massive scalar-field profiles (in .m format) for rotating black holes surrounded by massive scalar charges nonminimally coupled to curvature. All data products are generated using a spectral-method framework and are organized by the dimensionless spin a and scalar-field mass μ. 1. Scalar_Fields.zip This archive contains the background massive scalar-field configurations. Nopt.txtLists the optimal spectral order for the scalar-field solution at each combination of the dimensionless spin a and scalar-field mass μ. Directory structure: /a_/mu_/nTerm_/ File descriptions: *_org.mScalar-field solutions in r and z coordinates before removal of bare (non-physical) terms. phi_r.mScalar-field profile in the radial coordinate r, with bare terms removed. phi.mScalar-field profile in the compactified coordinate z, with bare terms removed. 2. Metric_corrections.zip This archive contains the corresponding background spacetime corrections induced by the scalar field. Directory structure: /a_/mu_/ nPhi_/ Solutions/N_300/nTerm_/ File descriptions: *_org.mIntermediate solutions (in r and z coordinates) prior to removal of bare terms. H{i}.m (for i=1,2,3,4)Metric correction functions in the radial coordinate r, after removal of bare terms. H{i}_z.m (for i=1,2,3,4)Metric correction functions in the compactified coordinate z, after removal of bare terms.