\begin{table}%tB.2
\caption{Non-linear fitting coefficients for the non-resonant $n{\rm
d}\rightarrow 1{\rm s}$ emission spectra within the frequency range
$10^{-3}\leq y\leq 0.999$ for $n\leq 20$.}
\label{tab:three}
%\centering
\small
\begin{tabular}{lrrrrr}
\hline
\hline
& 3d  & 4d  & 5d  & 6d  & 7d 
 \\ 
 \hline 
 $a_0$ & $\pot{-1.0484392971}{1}$ & $\pot{-1.4527047719}{1}$ & $\pot{-1.7350074013}{1}$ & $\pot{-1.9527421713}{1}$ & $\pot{-2.1271595034}{1}$ 
 \\ 
 $\beta$ & $\pot{2.6115596268}{-1}$ & $\pot{8.1050542323}{-1}$ & $\pot{4.6206291704}{-1}$ & $\pot{2.3419462081}{-1}$ & $\pot{6.7999906938}{-2}$ 
 \\ 
 $b_0$ & $\pot{5.3546036998}{1}$ & $\pot{1.7065087104}{2}$ & $\pot{2.0902445563}{2}$ & $\pot{1.4535416639}{2}$ & $\pot{1.1921878150}{2}$ 
 \\ 
 $b_1$ & $\pot{-9.7319568527}{1}$ & $\pot{-4.2936500531}{2}$ & $\pot{5.8562543507}{1}$ & $\pot{5.9612688683}{1}$ & $\pot{3.0991642200}{1}$ 
 \\ 
 $b_2$ & $\pot{1.0624929126}{2}$ & $\pot{7.1072286522}{2}$ & $\pot{-7.8501054392}{1}$ & $\pot{-8.0969461685}{1}$ & $\pot{-5.2470184998}{1}$ 
 \\ 
 $b_3$ & $\pot{6.0569007312}{1}$ & $\pot{-3.6472867939}{1}$ & $\pot{-5.8200368181}{1}$ & $\pot{-5.3437128442}{1}$ & $\pot{-2.3362093646}{1}$ 
 \\ 
 $b_4$ & $\pot{-4.1091307521}{1}$ & $\pot{-4.4275350080}{2}$ & $\pot{4.8846690629}{1}$ & $\pot{4.9735078265}{1}$ & $\pot{3.7636220223}{1}$ 
 \\ 
 $b_5$ & $\pot{-8.3346792794}{1}$ & $\pot{2.4703670467}{2}$ & $\pot{1.1281858951}{2}$ & $\pot{9.8247844915}{1}$ & $\pot{4.8276486304}{1}$ 
 \\ 
 $b_6$ & $\pot{6.9608223453}{1}$ & $\pot{-6.6433743910}{1}$ & $\pot{-1.1364879196}{2}$ & $\pot{-9.8596391243}{1}$ & $\pot{-5.6611227459}{1}$ 
 \\ 
 $b_7$ & $\pot{-1.7046798510}{1}$ & $\pot{1.8959198585}{1}$ & $\pot{3.1841053645}{1}$ & $\pot{2.6560347162}{1}$ & $\pot{1.5852011862}{1}$ 
 \\ 
 $b_8$ & $\pot{1.6052249571}{0}$ & $\pot{-3.1192847294}{0}$ & $\pot{-3.0563352329}{0}$ & $\pot{-2.3898992832}{0}$ & $\pot{-1.4245686402}{0}$ 
 \\ 
 $b_9$ & $\pot{-2.2422235582}{-1}$ & $\pot{5.0786391006}{-1}$ & $\pot{4.1302480839}{-1}$ & $\pot{3.1693775497}{-1}$ & $\pot{1.8991428606}{-1}$ 
 \\ 
 $\phi^{\rm nr}(1/2)$ & $\pot{2.0915177571}{1}$ & $\pot{3.4902680010}{1}$ & $\pot{4.4901877444}{1}$ & $\pot{5.2879363207}{1}$ & $\pot{5.9763238933}{1}$ 
\\[1mm]
%\end{tabular} 
%\begin{tabular}{lrrrrr}
%\hline
 & 8d  & 9d  & 10d  & 11d  & 12d 
 \\ 
 \hline 
 $a_0$ & $\pot{-2.2687581599}{1}$ & $\pot{-2.3840999089}{1}$ & $\pot{-2.4781138994}{1}$ & $\pot{-2.5548956191}{1}$ & $\pot{-2.6179506753}{1}$ 
 \\ 
 $\beta$ & $\pot{-4.0416246997}{-2}$ & $\pot{-1.4739834639}{-1}$ & $\pot{-2.3472013799}{-1}$ & $\pot{-3.0648469505}{-1}$ & $\pot{-3.6629270128}{-1}$ 
 \\ 
 $b_0$ & $\pot{1.8805941117}{2}$ & $\pot{1.0632962733}{2}$ & $\pot{6.0922960536}{1}$ & $\pot{3.6160368635}{1}$ & $\pot{2.2144091289}{1}$ 
 \\ 
 $b_1$ & $\pot{-1.8483714555}{1}$ & $\pot{-1.8910499138}{1}$ & $\pot{-1.9083232938}{1}$ & $\pot{-1.9357145527}{1}$ & $\pot{-1.9508239494}{1}$ 
 \\ 
 $b_2$ & $\pot{5.8156915967}{0}$ & $\pot{6.5026790075}{0}$ & $\pot{6.8739045830}{0}$ & $\pot{7.3456517995}{0}$ & $\pot{7.6357892226}{0}$ 
 \\ 
 $b_3$ & $\pot{1.3504738304}{1}$ & $\pot{1.3795221365}{1}$ & $\pot{1.3924013399}{1}$ & $\pot{1.4140788681}{1}$ & $\pot{1.4314213871}{1}$ 
 \\ 
 $b_4$ & $\pot{8.5177417832}{0}$ & $\pot{8.0023959097}{0}$ & $\pot{7.6277097156}{0}$ & $\pot{7.2310576094}{0}$ & $\pot{6.9389854602}{0}$ 
 \\ 
 $b_5$ & $\pot{-7.0817594819}{0}$ & $\pot{-7.9116375657}{0}$ & $\pot{-8.4667321100}{0}$ & $\pot{-9.1736549163}{0}$ & $\pot{-9.8020559467}{0}$ 
 \\ 
 $b_6$ & $\pot{-6.3232881999}{0}$ & $\pot{-5.0886630492}{0}$ & $\pot{-4.1097110628}{0}$ & $\pot{-3.0436236228}{0}$ & $\pot{-2.1203514774}{0}$ 
 \\ 
 $b_7$ & $\pot{3.4340616701}{0}$ & $\pot{2.9768149183}{0}$ & $\pot{2.6171546155}{0}$ & $\pot{2.2949189350}{0}$ & $\pot{2.0887633671}{0}$ 
 \\ 
 $b_8$ & $\pot{-3.9664209528}{-1}$ & $\pot{-3.4089403622}{-1}$ & $\pot{-2.9766246686}{-1}$ & $\pot{-2.6063687833}{-1}$ & $\pot{-2.3211600328}{-1}$ 
 \\ 
 $b_9$ & $\pot{5.7497854559}{-2}$ & $\pot{4.9213789949}{-2}$ & $\pot{4.2727779792}{-2}$ & $\pot{3.7171055385}{-2}$ & $\pot{3.2750870685}{-2}$ 
 \\ 
 $\phi^{\rm nr}(1/2)$ & $\pot{6.6011443629}{1}$ & $\pot{7.1866675229}{1}$ & $\pot{7.7466332091}{1}$ & $\pot{8.2892729834}{1}$ & $\pot{8.8197557986}{1}$ 
\\[1mm]
%\end{tabular} 
%\begin{tabular}{lrrrrr}
%\hline
 & 13d  & 14d  & 15d  & 16d  & 17d 
 \\ 
 \hline 
 $a_0$ & $\pot{-2.6702542838}{1}$ & $\pot{-2.7142749615}{1}$ & $\pot{-2.7520108750}{1}$ & $\pot{-2.7850443691}{1}$ & $\pot{-2.8146062687}{1}$ 
 \\ 
 $\beta$ & $\pot{-4.1655350067}{-1}$ & $\pot{-4.5817894101}{-1}$ & $\pot{-4.9230994423}{-1}$ & $\pot{-4.8799319840}{-1}$ & $\pot{-5.1046103153}{-1}$ 
 \\ 
 $b_0$ & $\pot{1.4031825050}{1}$ & $\pot{9.3536034158}{0}$ & $\pot{6.5800387184}{0}$ & $\pot{6.5003185806}{0}$ & $\pot{5.0269776925}{0}$ 
 \\ 
 $b_1$ & $\pot{-1.9675880116}{1}$ & $\pot{-1.9851518345}{1}$ & $\pot{-2.0183574589}{1}$ & $\pot{-2.0542531107}{1}$ & $\pot{-2.0953818322}{1}$ 
 \\ 
 $b_2$ & $\pot{8.0418685007}{0}$ & $\pot{8.3266612119}{0}$ & $\pot{8.8233502592}{0}$ & $\pot{8.8786234533}{0}$ & $\pot{9.3483218939}{0}$ 
 \\ 
 $b_3$ & $\pot{1.4344987353}{1}$ & $\pot{1.4507266322}{1}$ & $\pot{1.4666068986}{1}$ & $\pot{1.5088704084}{1}$ & $\pot{1.5370738183}{1}$ 
 \\ 
 $b_4$ & $\pot{6.5426767345}{0}$ & $\pot{6.3117201027}{0}$ & $\pot{6.0075843919}{0}$ & $\pot{6.3138200610}{0}$ & $\pot{6.1350437791}{0}$ 
 \\ 
 $b_5$ & $\pot{-1.0108197620}{1}$ & $\pot{-1.0587100158}{1}$ & $\pot{-1.0920565892}{1}$ & $\pot{-1.1277066540}{1}$ & $\pot{-1.1714497606}{1}$ 
 \\ 
 $b_6$ & $\pot{-1.4725216928}{0}$ & $\pot{-9.1174802515}{-1}$ & $\pot{-6.0110879243}{-1}$ & $\pot{-8.1971758897}{-1}$ & $\pot{-6.0125221865}{-1}$ 
 \\ 
 $b_7$ & $\pot{2.0501069105}{0}$ & $\pot{2.1660824963}{0}$ & $\pot{2.4592074550}{0}$ & $\pot{2.6330961336}{0}$ & $\pot{2.9489602434}{0}$ 
 \\ 
 $b_8$ & $\pot{-2.0980025116}{-1}$ & $\pot{-1.8682379725}{-1}$ & $\pot{-1.5933095829}{-1}$ & $\pot{-2.0505355745}{-1}$ & $\pot{-1.7710483631}{-1}$ 
 \\ 
 $b_9$ & $\pot{2.9129276734}{-2}$ & $\pot{2.5589737997}{-2}$ & $\pot{2.1812553698}{-2}$ & $\pot{3.3518563369}{-2}$ & $\pot{2.9819941280}{-2}$ 
 \\ 
 $\phi^{\rm nr}(1/2)$ & $\pot{9.3414593519}{1}$ & $\pot{9.8566665797}{1}$ & $\pot{1.0366966228}{2}$ & $\pot{1.0873478648}{2}$ & $\pot{1.1377060842}{2}$ 
\\[1mm]
%\end{tabular} 
%\begin{tabular}{lrrrrr}
%\hline
 & 18d  & 19d  & 20d 
 \\ 
 \hline 
 $a_0$ & $\pot{-2.8416405767}{1}$ & $\pot{-2.8668633507}{1}$ & $\pot{-2.8908128993}{1}$ 
 \\ 
 $\beta$ & $\pot{-5.2741247590}{-1}$ & $\pot{-4.8873340484}{-1}$ & $\pot{-4.7794020321}{-1}$ 
 \\ 
 $b_0$ & $\pot{4.1457341691}{0}$ & $\pot{5.2856466775}{0}$ & $\pot{5.2735742805}{0}$ 
 \\ 
 $b_1$ & $\pot{-2.1898431473}{1}$ & $\pot{-2.2963670035}{1}$ & $\pot{-2.3833638246}{1}$ 
 \\ 
 $b_2$ & $\pot{1.0391335216}{1}$ & $\pot{1.1284085887}{1}$ & $\pot{1.2121030366}{1}$ 
 \\ 
 $b_3$ & $\pot{1.6037472635}{1}$ & $\pot{1.6719978965}{1}$ & $\pot{1.7273259137}{1}$ 
 \\ 
 $b_4$ & $\pot{5.7762172996}{0}$ & $\pot{5.7383329948}{0}$ & $\pot{5.5675791948}{0}$ 
 \\ 
 $b_5$ & $\pot{-1.2705538272}{1}$ & $\pot{-1.3194456779}{1}$ & $\pot{-1.3752468820}{1}$ 
 \\ 
 $b_6$ & $\pot{-1.8363323426}{-2}$ & $\pot{7.2380465060}{-2}$ & $\pot{3.0584919862}{-1}$ 
 \\ 
 $b_7$ & $\pot{3.1624501247}{0}$ & $\pot{2.7857591072}{0}$ & $\pot{2.7454079863}{0}$ 
 \\ 
 $b_8$ & $\pot{-1.4050292467}{-1}$ & $\pot{-2.4398422587}{-1}$ & $\pot{-2.7060311659}{-1}$ 
 \\ 
 $b_9$ & $\pot{2.5244597061}{-2}$ & $\pot{4.6094366553}{-2}$ & $\pot{5.2504979483}{-2}$ 
 \\ 
 $\phi^{\rm nr}(1/2)$ & $\pot{1.1878311140}{2}$ & $\pot{1.2377675855}{2}$ & $\pot{1.2875544820}{2}$ 
\\[1mm]
\hline
\end{tabular} 
\end{table}