I apologize in advance if this question is basic. If $P_{\bullet}$ is a perfect complex over say a ring $R$ such that 1. $H_{i}(P_{\bullet})=0 $ if $i\neq n$ 2. $H_{i}(P_{\bullet})=E$ if $i=n$ is $E$ a finitely generated $R$-module ? What can we say about the homology of a generic perfect complex in general?