  We report the results of an improved determination of the triple correlation
$D P \cdot(p_{e}\times p_{\nu})$ that can be used to limit possible
time-reversal invariance in the beta decay of polarized neutrons and constrain
extensions to the Standard Model. Our result is $D=(-0.96\pm 1.89 (stat)\pm
1.01 (sys))\times 10^{-4}$. The corresponding phase between g_A and g_V is
$\phi_{AV} = 180.013^\circ\pm0.028^\circ$ (68 % confidence level). This result
represents the most sensitive measurement of D in beta decay.
