From calculating a few CG-coefficient tables, it occurred to me that when we add two angular mometa ##j_1=l## and ##j_2=1## (with ##l## whole integer), the resulting ##|j=l,m=0\rangle## state always has zero C-G coefficient with ##|j_1=l,j_2=1;m_1=0,m_2=0\rangle## component, i.e., ##\langle...