We present an algorithm for the explicit numerical calculation of SU(N) and

$\mbox{SL}(N,\mathbb {C})$
SL(N,C) Clebsch–Gordan coefficients, based on the Gelfand–Tsetlin pattern calculus. Our algorithm is well suited for numerical implementation; we include a computer code in an appendix. Our exposition presumes only familiarity with the representation theory of SU(2).

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