We study the nuclear compositions in the central region of a core-collapse supernova, assuming the existence of dineutrons () and tetraneutrons (). At 100~ms after core bounce, and are more abundant than deuterons within radii of approximately 100 and 50~km, respectively. Compared to the model ignoring the existence of and , the mass fraction of neutrons up to a radius of 100~km reduces, while the mass fractions of protons, deuterons, and increase. Due to the uncertainties in the properties of and , we investigate the influence of their binding energies on the nuclear composition. We find the binding energy of has only a modest effect on the overall composition, except for its own mass fraction, while that of has a negligible impact.

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