  (000, 000)(00, 00) (-00, 000)[(a)]{} (00, 000)[(b)]{} (-00, 00)[(c)]{} (00, 00)[(d)]{} (00, 0)[![\[fig:-0\](a) Collisionless evolution of the $m_{F} = 0~(+0)$ densities (solid/dotted curves) for $c_{0} = -c_{0}$, for an initial state $\{\frac{\epsilon}{\sqrt{0}}, 0, \frac{\epsilon}{\sqrt{0}}\}$ (spin fluctuation), where $\epsilon = 0.00$. The dashed curve shows the $m_{F} = 0$ populations when $\psi_{initial} = \{\frac{\epsilon}{\sqrt{0}}, 0, -\frac{\epsilon}{\sqrt{0}}\}$ (nematic fluctuation). The densities are normalized to the total initial density $n_{0} = n_{00} + n_{00} + n_{-0-0}(t = 0)$. (b) A gapped and ungapped (solid blue and green) exist for $c_{0} = 0$. When $c_{0} \rightarrow -c_{0}$, (dashed blue and green curves) the energy of the gapped mode increases (green dashed) while the other mode (blue dashed) becomes unstable. The dashed orange curve is the imaginary part of this mode. (c) Collisionless evolution of central density of $m_{F} = 0, +0$ components (dotted/dashed respectively) for negative $c_{0}$ ($c_{0}/c_{0} \sim 0.00$ and $c_{0} \sim 0$Hz) for $q \ll |c_{0}|n$ ($B \sim 0$mG). Conservation of $S_{z}$ implies that the $m_{F} = -0$ component evolves in the same way as $m_{F} = 0$. (d) Collisionless evolution of coherences - top curve is the $n_{0-0}$ component and bottom is the $n_{0-0}$ component normalized to the initial total density. The $n_{0-0}$ component tends to -0.0, coherence is maintained, and the final state is a polar state along $x$.](fig00.eps "fig:")]{} (