A simple algorithm which gives the multipole vectors in terms of the roots of a polynomial is given. We find that the reported alignment of the low l multipole vectors can be summarized as an orthogonality of these with the dipole direction. This orthogonality is not only present in $l=2$ and 3 but also for $l=5$ and higher. This alignment is likely due to nonlinearity in the data processing. Our results are based on the 3 yr Wilkinson Microwave Anisotropy Probe data, we also list corresponding results for the first year data.
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Helling et al. (2006) studied this question.
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