Within the second data segment (Fig. ), corresponding to the next 1,000 a.u. of time propagation, peaks become clearer and sharper at the anticipated odd harmonic orders, up to about the 30th harmonic that corresponds to the expected cutoff energy. The region of fictitious peaks shrinks dramatically, as compared to the spectrum computed within the first 1,000 a.u. of propagation time, and no fictitious peaks are observed until the 75th harmonic order. Unphysical features due to TDHF excited states that were observed in the first data segment are gone, and the remaining fictitious peaks (between the 75th and 80th harmonic orders) are smaller than what was observed from the first segment of simulation data. In the third segment (Fig. ), the spectrum is cleaner still and the spurious peaks between the 75th and 77th harmonic orders are quite small. These features completely disappear from spectra computed from the next data segment, corresponding to 3, 000 a.u. < t < 4, 000 a.u. (Fig. ). This remains true in the final data segment (4, 000 a.u. < t < 5, 000 a.u., in Fig. ), although the high-energy tail becomes more noisy.