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Is there a way to compute the values of the following special kind of Dedekind Zeta Function:

Assume $a,b \in \mathbb N$ and $K = \mathbb Q(\sqrt{5}) \subset L= \mathbb Q(\sqrt{a+b\sqrt{5}})$. Set $d = \sqrt{a+b\sqrt{5}}$ which is also totally negative and furthermore a discriminant of L.

Now my problem is, can I calculate the (exact or numerical) values of the Dedekind Zeta function $\zeta_L(s)$ for s positive odd integer?

Thanks for any help!