Atomic cesium is one of the most important systems for stringently testing the standard model of electroweak interactions and in looking for new physics beyond it. Precision measurements of parity nonconservation (PNC) in conjunction with highly accurate atomic-structure calculations for cesium allow an interpretation of experimental results in terms of fundamental parameters. With only eight hours of data the effect has been remeasured to 2%. The result is in agreement with our 1988 result, which required two months to reach 2%. If parity were conserved, there would be no electric-dipole (E1) transition amplitude between the 6S (ground) state and the 7S state of Cs. The ultimate goal of this experiment is to measure PNC in cesium to 0.25% on several different hyperfine transitions. This level of accuracy is comparable to that of high-energy experiments and tests different aspects of the standard mode. Further results are discussed.