High-precision calculation of the 4-loop contribution to the electron g-2 in QED

I have evaluated up to 1100 digits of precision the contribution of the 891 4-loop Feynman diagrams contributing to the electron g-2 in QED. The total mass-independent 4-loop contribution is a(e) =-1.912245764926445574152647167439830054060873390658725345... (alpha/pi)(4) I have fit a semi-analytical expression to the numerical value. The expression contains harmonic polylogarithms of argument e(i pi/3), e(2i pi/3), e(i pi/2), one-dimensional integrals of products of complete elliptic integrals and six finite parts of master integrals, evaluated up to 4800 digits. (C) 2017 The Author(s). Published by Elsevier B.V.