We report the first observations of the first harmonic (directed flow, [Formula presented]) and the fourth harmonic ([Formula presented]), in the azimuthal distribution of particles with respect to the reaction plane in [Formula presented] collisions at the BNL Relativistic Heavy Ion Collider (RHIC). Both measurements were done taking advantage of the large elliptic flow ([Formula presented]) generated at RHIC. From the correlation of [Formula presented] with [Formula presented] it is determined that [Formula presented] is positive, or in-plane...