Slow convergence

This number gives the natural exponent in the limit. Most of the Lagrange numbers converge slowly, still having 3% typical error when N is 150. The proton has to have large error bounds and plenty of wave action. The inverses converge much faster. Around the unit sphere, fast convergence, the exponential approximation works. As soon as the first spectral moment traps light, then all of those Lagrange solutions are trapped at the current ratio.