\begin{table}[H]
\begin{center}
\begin{tabular}{c|ccc}
\hline\hline
Parameter & Filter 1& Filter 2& Filter 3\\ 
\hline
$a_1$ & $-0.01769\pm 0.00029$ & $-0.01497\pm 0.00024$ & $-0.01428\pm 0.0016$ \\ 
$a_2$ & $-0.14912\pm 0.00064$ & $-0.14238\pm 0.00068$ & $-0.1405\pm 0.00125$ \\ 
$a_4$ & $-0.02487\pm 0.0003$ & $-0.02372\pm 0.00033$ & $-0.02319\pm 0.00143$ \\ 
$a_2(0.125-a_2)$ & $-0.04088\pm 0.00027$ & $-0.03807\pm 0.00028$ & $-0.0373\pm 0.00051$ \\ 
$2b_1$ & $0.00598\pm 0.00046$ & $0.00481\pm 0.00055$ & $0.00356\pm 0.00314$ \\ 
$\Delta I_{\rm FT}$ & $0.00646\pm 0.00141$ & $0.00462\pm 0.00177$ & $0.00415\pm 0.00784$ \\ 
$\Delta I_{\rm ave}$ & $0.00911\pm 0.00049$ & $0.00969\pm 0.00047$ & $0.0058\pm 0.00148$ \\ 
OER & $1.0138\pm 0.00151$ & $1.01268\pm 0.00205$ & $1.00894\pm 0.01198$ \\ 
LCA & $0.00456\pm 0.00141$ & $0.00351\pm 0.00151$ & $0.00531\pm 0.00458$ \\ 
\hline
\end{tabular}
\caption{Fourier and O'Connell stuff (1000 sims)}
\label{tbl:OConnell}
\end{center}
\end{table}