The main topic of the volume is to develop efficient algorithms by
which one can verify Artin's conjecture for odd two-dimensional
representations in a fairly wide range. To do this, one has to
determine the number of all representations with given Artin
conductor and determinant and to compute the dimension of a
corresponding space of cusp forms of weight 1 which is done by
exploiting the explicit knowledge of the operation of Hecke
operators on modular symbols.
It is hoped that the algorithms developed in the volume can be of
use for many other problems related to modular forms.
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