  The discovery of colour-kinematics duality has allowed great progress in our
understanding of the UV structure of gravity. However, it has proven difficult
to find numerators which satisfy colour-kinematics duality in certain cases. We
discuss obstacles to building a set of such numerators in the context of the
five-gluon amplitude with all helicities positive at two loops. We are able to
overcome the obstacles by adding more loop momentum to our numerator to
accommodate tension between the values of certain cuts and the symmetries of
certain diagrams. At the same time, we maintain control over the size of our
ansatz by identifying a highly constraining but desirable symmetry property of
our master numerator. The resulting numerators have twelve powers of loop
momenta rather than the seven one would expect from the Feynman rules.
