I think that either of XXXUU or XXXU6 are best, at least according to
intuition. They match each other by reflections, and are the closest
two in terms of any set of 90 degree rotations. All the other ones seem
to want 90 degrees plus 10 or more. Those two are within 5 degrees.
So choose whichever. They both are among the highest in correlation,
U6 being a little higher. Maybe choose the one with the highest correlations
to the unrotated spectral axis. We will ignore the ordering from the program
with regards to the significances of the axes - assume it is arbitrary -
and not say the X-axis is the strongest, etc. I am not, afterall, sure that
this version of the program cares about that, since we have been getting
quite different orderings from the same data!!!!!