Data for: Bounds on the mass of superradiantly unstable scalar fields around Kerr black holes

Datasets associated with the article Bounds on the mass of superradiantly unstable scalar fields around Kerr black holes, arXiv:2405.01003 [gr-qc]. The file datasets.zip contains four subfolders. Each subfolder includes a readme file that provides a description of the datasets. A brief description of each subfolder is given below: 1) Folder "notebooks" contains minimal Mathematica notebooks that compute scalar clouds and superradiant instabilites of a Kerr black hole 2) Folder "clouds" contains data for the mass of the scalar cloud as a function of the spin of the black hole 3) Folder "max_instability" contains data for the peak of superradiant instabilities as a function of the spin of the black hole 4) Folder "parameters" contains parameters for an analytical function that fits the numerical values of the mass of the scalar clouds of a Kerr black hole