A table of the dimensions of the Hilbert modular type cusp forms for the Hurwitz-Maass extensions (Q1327784)

The dimensions of the space \(S(D)_ m\) of cusp forms of weight two with respect to the Hurwitz-Maass extensions \(G_ m\) of the Hilbert modular group \(G= \text{SL}_ 2 (\mathfrak o)\) of a real quadratic number field \(k= \mathbb{Q} (\sqrt{D})\) are tabulated for \(1<D< 1000\) squarefree thus continuing former work of the author. The computations are based on the well known formula \(\dim S(D)_ m= t_ 0+ t_ 1+ t_ 2-1\). Here \(t_ 0\) equals \((1/2)^ t \zeta_ k(- 1)\), \(2^{t-1}\) the index \([G_ m: G]\) and \(t_{1/2}\) are contributions coming from the elliptic fixed points and the cusps, respectively.