A non-selfdual 4-dimensional Galois representation, by Jasper Scholten
In this paper it is explained how one can construct
$\ell$-adic Galois representations of Hodge type
assuming a hypothesis concerning the cohomology
of a certain threefold.
For one such a representation the first 80000 coefficients of its
$L$-function are computed, and it is numerically verified that this
$L$-function satisfies a functional equation. Also a candidate for
the conductor is obtained.
Jasper Scholten <firstname.lastname@example.org>