  Using resonant x-ray scattering to perform diffraction experiments at the U
M$_{4}$ edge novel reflections of the generic form $<kkk>$ have been observed
in UAs$_{0.8}$Se$_{0.2}$ where $\vec{k} = < k00>$, with $k = {1/2}$ reciprocal
lattice units, is the wave vector of the primary (magnetic) order parameter.
The $<kkk>$ reflections, with $10^{-4}$ of the $<k00>$ magnetic intensities,
cannot be explained on the basis of the primary order parameter within standard
scattering theory. A full experimental characterisation of these reflections is
presented including their energy, azimuthal and temperature dependencies. On
this basis we establish that the reflections most likely arise from the
electric dipole operator involving transitions between the core 3d and
partially filled $5f$ states. The temperature dependence couples the $<kkk>$
peak to the triple-$\vec{k}$ region of the phase diagram: Below $\sim 50$ K,
where previous studies have suggested a transition to a double-$\vec{k}$ state,
the intensity of the $<kkk>$ is dramatically reduced. Whilst we are unable to
give a definite explanation of how these novel reflections appear, this paper
concludes with a discussion of possible ideas for these reflections in terms of
the coherent superposition of the 3 primary (magnetic) order parameters.
