In the case of a uniform prior 
, the maximum entropy
distribution 
is proportional to the exponential of the
Fourier transform of the Lagrange multipliers 
(equation
4). 
exists only for the constraint
reflections 
. If we therefore expand the
exponential in powers of its argument;
and invert for 
, we obtain:
Thus we can see that the Fourier coefficients of the maximum entropy distribution will be non-zero for the constrained reflections, plus those reflections which are produced by triplet, quartet, and higher combinations of reflections in the constrained set. The maximum entropy distribution therefore makes use of the phase invariants used in conventional direct methods.