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\subsection{Varying the Magnetic Polarization}  We also varied magnetic field by varying current to the solenoid \textbf{specify current}, solenoid,  keeping all other values constant, and measured precession frequency. We found there to be no dependence, as expected and predicted by Eq.~\ref{eq:precession}. We expect the magnetization to vary according to Eq.~\ref{eq:tanh} when we artificially increase Earth's magnetic field, using a constant polarization time (which was in this case 10 seconds), as seen in Fig.~\ref{fig:polarizationtime10s}. Our data was initially plotted against voltage, not magnetization, but Eq.~\ref{eq:tanh} allows us to find magnetization as we can calculate $\mu$ using \begin{equation}  \label{eq:mu}  \mu=\gamma\hbar\sqrt{I(I+1)}