6j Symbols

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Source for equation of change-of-basis formula for $6j$-symbols.

Source Code

$$
    \tikz[trivalent]{
        \coordinate(vxa)at(0,.35)
            edge[]node[leftlabel,pos=1]{$d$}(0,-.15)edge[bend left]node[leftlabel,pos=1]{$a$}(-.6,1.15);
        \coordinate(vxb)at(.3,.75)
            edge[bend left]node[basiclabel,pos=.7,right=2pt]{$e$}(vxa)
            edge[bend left]node[leftlabel,pos=1]{$b$}(0,1.15)edge[bend right]node[rightlabel,pos=1]{$c$}(.6,1.15);}
    = \sum_{f\in\lceil a,b\rfloor\cap\lceil c,d\rfloor} \sixj abcdef
    \tikz[trivalent]{
        \coordinate(vxa)at(0,.35)
            edge[]node[leftlabel,pos=1]{$d$}(0,-.15)edge[bend right]node[rightlabel,pos=1]{$c$}(.6,1.15);
        \coordinate(vxb)at(-.3,.75)
            edge[bend right]node[basiclabel,pos=.7,left=3pt]{$f$}(vxa)
            edge[bend right]node[rightlabel,pos=1]{$b$}(0,1.15)edge[bend left]node[leftlabel,pos=1]{$a$}(-.6,1.15);}
    $$