We have measured the spin-transfer parameters K«, KsL, KLs, and Kss at 788 MeV from 47 to 177' c.m. , and also uncovered a 10 -16 /o normalization discrepancy which affects all previous np elastic spin data from LAMPF. Results disagree significantly from previous phase-shift predictions. With the inclusion of these new data the NN phase shifts and amplitudes (isospin 0 and 1) become well determined for the first time near 800 MeV.