In [Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces](https://www.math.stonybrook.edu/~mlyubich/Archive/Geometry/Teichmuller%20Space/Mirz3.pdf), Mirzakhani gave a recursive formula for WP volumes of moduli spaces $\mathcal{M}\_{g,n}(L)$ of bordered Riemann surfaces, and the constant term of each $\mathcal{M}\_{g,n}(L)$ is a rational multiple of $\pi^{6g−6+2n}$, say $C\_{g,n}$. So is there any explicit table or formula for these rationals $C\_{g,n}$? As I'm studying number theory, so I'm interested in these numbers. However the recursive formula in this paper is not very friendly to me. 



Explicit constant terms of volumes of moduli spaces
Norman Do calculates somes $V\_{g,n}(L)$ polynomials for small $g$ and $n$ in the appendix A of his thesis:


* Norman Nam Van Do, [Intersection theory on moduli spaces of curves via hyperbolic geometry](http://users.monash.edu/~normd/documents/Do-Phd-Thesis.pdf) (2008)


I'll copy constant terms here for future reference.


\begin{array}{|c|c|c|c|}
\hline
\mathrm{g}& \mathrm{n} & C\_{g,n} \\ \hline
0 & 3 &1\\ \hline
0 & 4 &2\\ \hline
0 & 5 &10\\ \hline
0 & 6 &244/3\\ \hline
0 & 7 &2758/3\\ \hline
\end{array}
\begin{array}{|c|c|c|c|}
\hline
\mathrm{g}& \mathrm{n} & C\_{g,n} \\ \hline
1 & 1 & 1/12\\ \hline
1 & 2 & 1/4\\ \hline
1 & 3 & 14/9\\ \hline
1 & 4 & 529/36\\ \hline
1 & 5 & 16751/90\\ \hline
\end{array}


\begin{array}{|c|c|c|c|}
\hline
\mathrm{g}& \mathrm{n} & C\_{g,n} \\ \hline
2 & 0 & 43/2160\\ \hline
2 & 1 & 29/192\\ \hline
2 & 2 & 787/480\\ \hline
2 & 3 & 1498069/64800\\ \hline
\end{array}


\begin{array}{|c|c|c|c|}
\hline
\mathrm{g}& \mathrm{n} & C\_{g,n} \\ \hline
3 & 0 & 176557/1209600\\ \hline
3 & 1 & 9292841/4082400\\ \hline
3 & 2 & 2800144027/65318400\\ \hline
\end{array}


\begin{array}{|c|c|c|c|}
\hline
\mathrm{g}& \mathrm{n} & C\_{g,n} \\ \hline
4 & 0 & 1959225867017/493807104000\\ \hline
4 & 1 & 92480712720869/987614208000\\ \hline
\end{array}


\begin{array}{|c|c|c|c|}
\hline
\mathrm{g}& \mathrm{n} & C\_{g,n} \\ \hline
5 & 0 & 84374265930915479/355541114880000\\ \hline
5 & 1 & 21185241498983729441/2824576634880000\\ \hline
\end{array}


