  The recently introduced ambitwistor string led to a striking proposal for
one-loop maximal supergravity amplitudes, localised on the solutions of the
ambitwistor one-loop scattering equations. However, these amplitudes have not
yet been explicitly analysed due to the apparent complexity of the equations
that determine the localisation. In this paper we propose an analytic solution
to the four-point one-loop scattering equations in the infrared (IR) regime of
the amplitude. Using this solution, we compute the ambitwistor integrand and
demonstrate that it correctly reproduces the four-graviton integrand, in the IR
regime. This solution qualitatively extends to n points. To conclude, we
explain that the ambitwistor one-loop scattering equations actually correspond
to the standard Gross & Mende saddle point.
