\begin{table}%t2 %%\centering \par \caption{\label{tab:V}Coefficients of the third-order polynomial in each chip used to represent our geometric distortion in the final solution for the $V$ filter.} %%\centering \par \begin{tabular}{ccrrrrrrrr} \hline \hline\noalign{\smallskip} Term $(q)$&Polyn. &$a_{q,[1]}$&$b_{q,[1]}$&$a_{q,[2]}$&$b_{q,[2]}$&$a_{q,[3]}$&$b_{q,[3]}$&$a_{q,[4]}$&$b_{q,[4]}$\\ \hline\noalign{\smallskip} 1&$\tilde{x}$& $ +0.0000 $&$ +6.3877 $&$ +0.0000 $&$ +0.1638 $&$ +0.0000 $&$ -6.2855 $&$ +0.0000 $&$ +1.0239 $\\ 2&$\tilde{y}$& $ +0.0000 $&$+20.2053 $&$ +0.0000 $&$ -2.7878 $&$ +0.0000 $&$+20.2021 $&$ +0.0000 $&$-16.5767 $\\ 3&$\tilde{x}^2$& $ -7.1942 $&$ +0.6063 $&$ -0.1033 $&$ +0.6919 $&$ +7.2181 $&$ +0.6900 $&$ +0.9713 $&$-15.7873 $\\ 4&$\tilde{x}\tilde{y}$& $ +3.2801 $&$-10.7004 $&$ +3.6108 $&$ -0.2218 $&$ +3.5260 $&$+10.5439 $&$-13.8197 $&$ +0.3543 $\\ 5&$\tilde{y}^2$& $-12.2026 $&$+11.3321 $&$ -0.3165 $&$+11.7370 $&$+12.1294 $&$+11.7808 $&$ +0.0850 $&$ -9.0966 $\\ 6&$\tilde{x}^3$& $ -1.1416 $&$ -0.0136 $&$ -1.1606 $&$ +0.0168 $&$ -1.0659 $&$ +0.0204 $&$-13.1945 $&$ +0.0213 $\\ 7&$\tilde{x}^2\tilde{y}$& $ -0.1559 $&$ -2.5312 $&$ -0.0204 $&$ -2.5133 $&$ +0.1460 $&$ -2.6083 $&$ +0.1596 $&$ -5.4927 $\\ 8&$\tilde{x}\tilde{y}^2$& $ -5.7174 $&$ -0.3752 $&$ -5.7339 $&$ -0.1705 $&$ -5.8841 $&$ +0.2810 $&$ -2.3973 $&$ +0.0324 $\\ 9&$\tilde{y}^3$& $ -0.2740 $&$-12.6714 $&$ +0.0087 $&$-12.4949 $&$ +0.1189 $&$-13.1913 $&$ +0.0876 $&$ -0.9556 $\\ \hline \end{tabular}\vspace*{4.4mm} \end{table}