Data computed in connection with the article Cohomology of moduli spaces via a result of Chenevier and Lannes, by Jonas Bergström and Carel Faber.
The notation follows that of the article.
All Euler characteristics will have values in the Grothendieck group of ell-adic absolute Galois representations. The S_n-equivariant Euler characteristics also keep track of the action of the symmetric group S_n, whose irreducible representations will be indexed in the usual fashion by Schur functions s[mu] with mu a partition of
-The file "M3n.txt" contains the S_n-equivariant Euler characteristics of the moduli space of smooth n-pointed curves of genus 3 with n up to 14.
-The file "Mbar3n.txt" contains the S_n-equivariant Euler characteristics of the moduli space of stable n-pointed curves of genus 3 with n up to 14.
-The file "A3loc.txt" contains the Euler characteristics of all standard local systems on the moduli space of abelian 3-folds of weight at most 16.
-The file "M3loc.txt" contains the Euler characteristics of all standard local systems on the moduli space of smooth curves of genus 3 of weight at most 14.