  We examine previous claims for a preferred axis at $(b,l)\approx (60,-100)$
in the cosmic radiation anisotropy, by generalizing the concept of multipole
planarity to any shape preference (a concept we define mathematically).
Contrary to earlier claims, we find that the amount of power concentrated in
planar modes for $\ell=2,3$ is not inconsistent with isotropy and Gaussianity.
The multipoles' alignment, however, is indeed anomalous, and extends up to
$\ell=5$ rejecting statistical isotropy with a probability in excess of 99.9%.
There is also an uncanny correlation of azimuthal phases between $\ell=3$ and
$\ell=5$. We are unable to blame these effects on foreground contamination or
large-scale systematic errors. We show how this reappraisal may be crucial in
identifying the theoretical model behind the anomaly.
