These are the data associated with the paper "Bandgap fluctuations and robustness in two-dimensional hyperuniform dielectric materials" published in Optics Express 31, 18509 (2023) gapsFrequenciesAndWidths.h5: each line of the table lists the largest and second largest gap widths and frequencies in GHz for all 5000 samples studied in the paper Column Quantity 0 \(\chi\) 1 largest gap frequency (GHz) 2 largest gap width (GHz) 3 second largest gap frequency (GHz) 4 second largest gap width (GHz) DOS.h5: normalized density of states as a function of the frequency (GHz) averaged over all samples for all \(\chi\) values studied in the paper Column Quantity 0 \(\chi\) 1 Frequency (GHz) 2 nDOS

This work was supported by the French government, through the UCAJEDI Investments in the Future project managed by the National Research Agency (ANR) under reference number ANR-15-IDEX-01. The authors are grateful to the OPAL infrastructure and the Université Côte d'Azur's Center for High-Performance Computing for providing resources and support.