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In this addendum to [1], we apply the techniques developed in that paper tothe $J/\Psi$ and $\Upsilon$ spin alignement measurements in [2]. We argue thatwhile the data points to a maximally impure density matrix, consistent withCooper-Frye/Statistical model freeze-out, a measurement of the dependence ofthe $\phi$-sensitive coefficients on the azimuthal angle with respect to thereaction plane would be the crucial test of this conclusion.

An analysis of the spin density matrix of quarkonium in heavy ion collisions