  In this paper we prove the weak local Tamagawa number conjecture for the
remaining non-critical cases for the motives associated to Hecke characters
$\psi_{\theta}:\mathbb{A}_K\to K^*$ of the author's previous paper, where $K$
is an imaginary quadratic field with $cl(K)=1$, under certain restrictions
which originate mainly from the Iwasawa theory of imaginary quadratic fields.
