  A new rescaling of the vorticity moments and their growth terms is used to
characterise the evolution of anti-parallel vortices governed by the 3D Euler
equations. To suppress unphysical instabilities, the initial condition uses a
balanced profile for the initial magnitude of vorticity along with a new
algorithm for the initial vorticity direction. The new analysis uses a new
adaptation to the Euler equations of a rescaling of the vorticity moments
developed for Navier-Stokes analysis. All rescaled moments grow in time, with
the lower-order moments bounding the higher-order moments from above,
consistent with new results from several Navier-Stokes
calculations.Furthermore, if, as an inviscid flow evolves, this ordering is
assumed to hold, then a singular upper bound on the growth of these moments can
be used to provide a prediction of power law growth to compare against. There
is a significant period where the growth of the highest moments converges to
these singular bounds, demonstrating a tie between the strongest nonlinear
growth and how the rescaled vorticity moments are ordered. The logarithmic
growth of all the moments are calculated directly and the estimated singular
times for the different $D_m$ converge to a common value for the simulation in
the best domain.
