Riemann Rainbow II

As it happens, a very friendly bee gave me the data for the new degree 3 $L$ function. Since the data is not mine to divulge, I won't post it here (I'll just have fun playing with the numbers myself for a while). Oh, all right, maybe one little remark: the first positive zero (they are asymmetric about the real axis) is roughly (certainly not exactly) at $3 \pi$, which is about $\frac{2}{3}$ of the first Riemann zeta zero. Recall that the first zero is probably closely related to a low lying energy level for some fundamental physical system.