Feynman integrals come in two varieties: polylogarithmic, or
not. They are used in two ways: as contributions to an
amplitude that is squared, or as contributions to an
observable matrix element. In the former case, products of
integrals occur, in the latter they do not. We report on
products of non-polylogarithmic Feynman integrals related to
the magnetic moment of the electron, giving details of an
infinite set of quadratic relations between these integrals
at all loops $L>2$.