  A quantum cloning machine is introduced that yields $M$ identical optimal
clones from $N$ replicas of a coherent state and $N'$ replicas of its phase
conjugate. It also optimally produces $M'=M+N'-N$ phase-conjugated clones at no
cost. For well chosen input asymmetries $N'/(N+N')$, this machine is shown to
provide better cloning fidelities than the standard $(N+N') \to M$ cloner. The
special cases of the optimal balanced cloner ($N=N'$) and the optimal
measurement ($M=\infty$) are investigated.
