Riemann Rainbow

David Corfield brings our attention to an AIM press release about the discovery of a new L function. As the blurb explains, this new function $L\left(s\right)$ satisfies a degree 3 symmetric functional relation

$F\left(s\right)\equiv \frac{\sqrt{q}}{{\pi }^3}\Gamma (\frac{s}{2}+r_1)\Gamma (\frac{s}{2}+r_2)\Gamma (\frac{s}{2}+r_3)L\left(s\right)=F(1-s)$

for some integer $q$, in contrast to the degree 1 behaviour of the Riemann zeta function (for which $q=1$). Of course I immediately emailed Michael Rubinstein to ask for a reference on the actual values of these Langlands' parameters, as well as values for the first few known zeroes, which lie on the critical line. I eagerly await a reply, but my server may well be treated as a spam generator. In the meantime, Minhyong Kim has kindly provided helpful comments and links.