  We compute epsilon-expansions around 4 dimensions of a complete set of master
integrals for momentum space five-loop massless propagator integrals in
dimensional regularization, up to and including the first order with
contributions of transcendental weight nine. Our method is the glue-and-cut
technique from Baikov and Chetyrkin, which proves extremely effective in that
it determines all expansion coefficients to this order in terms of recursively
one-loop integrals and only one further integral. We observe that our results
are compatible with conjectures that predict $\pi$-dependent contributions.
