Correlations between the elliptic or triangular flow coefficients \u3c5m(m = 2 or 3) and other flow harmonics \u3c5n(n = 2 to 5) are measured using (Formula Found) Pb + Pb collision data collected in 2010 by the ATLAS experiment at the LHC, corresponding to an integrated luminosity of 7 \u3bcb 121. The \u3c5m-\u3c5ncorrelations aremeasured in midrapidity as a function of centrality, and, for events within the same centrality interval, as a function of event ellipticity or triangularity defined in a forward rapidity region. For events within the same centrality interval, \u3c53is found to be anticorrelated with \u3c52and this anticorrelation is consistent with similar anticorrelations between the corresponding eccentricities, \u3f52and \u3f5...