The Rogers Ramanujan continued fraction

The Rogers-Ramanujan continued fraction R(q), |q|<1 is given by

R(q)=\sqrt[5]{q}\frac{(q;q^{5})_{\infty}(q^{4};q^{5})_{\infty}}{(q^{2};q^{5})_{\infty}(q^{3};q^{5})_{\infty}} and looks like this on the unit disk:

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