The paper also gives recommendation for a starting point for some finite element modeling and optimization for field configurations requiring less energy than t

The paper also gives recommendation for a starting point for some finite element modeling and optimization for field configurations requiring less energy than that, improving other properties and such. (FEM modeling to search the irrotational sector of the Hamiltonian constraint...) They mentioned this with a fair amount of enthusiasm - sounding like there may be room to optimize. I wonder what the gradients look like.