  In this article we present a method to generate analytic expressions for the
integral coefficients of loop amplitudes using numerical evaluations only. We
use high-precision arithmetic to explore the singularity structure of the
coefficients and decompose them into parts of manageable complexity. To
illustrate the usability of our method we provide analytical expressions for
all helicity configurations of the colour-ordered six-point gluon amplitudes at
one loop with a gluon in the loop.
