We have determined the quadratic slope parameter alpha for eta -->3 pi (0)
to be alpha = -0.031(4) from a 99% pure sample of 10(6)eta -->3 pi (0) deca
ys produced in the reaction pi (-) p -->n mu close to the eta threshold usi
ng the Crystal Ball detector at the AGS. The result is four times more prec
ise than the present world data and disagrees with current chiral perturbat
ion theory calculations by about four standard deviations.