2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199987An ensemble with random n-body interactions is investigated in the presence of symmetries. A striking emergence of regularities in spectra, ground state spins and isospins is discovered in both odd and even-particle systems. Various types of correlations from pairing to spectral sequences and correlations across different masses are explored. A search for interpretation is presented.5 pages, 3 figuresNuclear Theorytext