  We report on results from about 30 hours of livetime with the Goldstone Lunar
Ultra-high energy neutrino Experiment (GLUE). The experiment searches for <10
ns microwave pulses from the lunar regolith, appearing in coincidence at two
large radio telescopes separated by about 22 km and linked by optical fiber.
The pulses can arise from subsurface electromagnetic cascades induced by
interactions of up-coming ~100 EeV neutrinos in the lunar regolith. A new
triggering method implemented after the first 12 hours of livetime has
significantly reduced the terrestrial interference background, and we now
operate at the thermal noise level. No strong candidates are yet seen. We
report on limits implied by this non-detection, based on new Monte Carlo
estimates of the efficiency. We also report on preliminary analysis of smaller
pulses, where some indications of non-statistical excess may be present.
