A mod five approach to modularity of icosahedral Galois representations
Abstract
We give eight new examples of icosahedral Galois representations that
satisfy Artin's conjecture on holomorphicity of their L-function.
We give in detail one example of an icosahedral representation of
conductor 1376=25*43 that satisfies Artin's conjecture.
We also briefly explain the computations behind seven additional
examples of conductors 2416=24*151, 3184=24*199,
3556=22*7*127, 3756=22*3*313,
4108=22*13*79, 4288=26*67, and
5373=33*199.