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The SixJSymbol[{j 1 , j 2 , j 3 }, {j 4 , j 5 , j 6 }] are slightly esoteric objects that correspond to recoupling coefficients for the 3D rotation group SO(3), and that arose in 1940s studies of combinations of three angular momenta in atomic physics—and were often represented graphically as networks. … (The picture below shows for example Abs[SixJSymbol[{j, j, j}, {j, j, j}]] . Note that for any j the 6j symbols can be given in terms of HypergeometricPFQ .)
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