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  1. ; (, Communications in Algebra)
    In this short note we construct an embedding of the planar algebra for $$\overline{\Rep(U_q(\mathfrak{sl}_3))}$$ at $$q = e^{2\pi i \frac{1}{24}}$$ into the graph planar algebra of di Francesco and Zuber's candidate graph $$\mathcal{E}_4^{12}$$. Via the graph planar algebra embedding theorem we thus construct a rank 11 module category over $$\overline{\Rep(U_q(\mathfrak{sl}_3))}$$ whose graph for action by the vector representation is $$\mathcal{E}_4^{12}$$. This fills a small gap in the literature on the construction of $$\overline{\Rep(U_q(\mathfrak{sl}_3))}$$ module categories. As a consequence of our construction, we obtain the principal graphs of subfactors constructed abstractly by Evans and Pugh. 
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