Introduction: Dataset from numerical simulations describing the structure formation in suspensions with electromagnetically active particles in an external field, as described in detail in the paper Konstantinos Manikas, Markus Hütter, Patrick D. Anderson: Effect of matrix solidification on the structure formation in electromagnetic suspensions. Appl. Phys. A, 128: 709 (11 pages), 2022. DOI: 10.1007/s00339-022-05844-y WWW: https://doi.org/10.1007/s00339-022-05844-y which should be cited whenever this dataset is used. The data compiled here is the basis for figures 4, 5, and 6 in that paper. Format: The files are provided in plain-text format (ascii). Filenames: The nomenclature for the filenames follows the following scheme: data_fig{number}_{param}_{value}.txt where {number} specifies the number of the figure in the paper, {param} is the parameter that is studied and {value} denotes its numerical value (see the paper for details). File content: Each datafile contains 1 header line, in which the meaning of the data-columns are explained (time, S2, N*, lambda* -- see paper for details), and the studied parameter and its value are listed. After this header line, the data is presented in tab-delimited columns. For further details, the reader is referred to the paper mentioned above.