\begin{table}%t1
\caption{\label{tab1}Output parameters from the global fitting of HD~181420.}
\par
%\centering
\small
 {
\begin{tabular}{c c|c c|c c}
\hline
\hline
HD~181420 & & Scenario 1  && Scenario 2&\\
Degree & Order& Frequency & Uncertainty&Frequency & Uncertainty \\
& & $\mu$Hz    &$\mu$Hz &  $\mu$Hz    &$\mu$Hz\\
 \hline
0 &  0 & 1122.8 & 0.8 & 1087.4 & 0.7 \\
0 &  1 & 1195.9 & 0.4 & 1159.2 & 0.6 \\
0 &  2 & 1272.7 & 0.9 & 1234.0 & 0.5 \\
0 &  3 & 1349.1 & 0.7 & 1307.9 & 0.6 \\
0 &  4 & 1423.9 & 0.6 & 1384.4 & 0.6 \\
0 &  5 & 1496.7 & 1.0 & 1457.1 & 1.4 \\
0 &  6 & 1572.9 & 1.0 & 1535.6 & 0.9 \\
0 &  7 & 1646.3 & 1.4 & 1608.4 & 1.4 \\
0 &  8 & 1721.0 & 1.2 & 1682.6 & 1.2 \\
0 &  9 & 1800.7 & 1.3 & 1760.7 & 1.3 \\
0 & 10 & 1880.0 & 1.4 & 1837.9 & 2.0 \\
0 & 11 & 1953.2 & 2.1 & 1911.9 & 1.8 \\
0 & 12 & 2026.2 & 2.1 & 1989.6 & 1.8 \\
0 & 13 & 2102.5 & 2.0 & 2061.7 & 1.9 \\
\hline
1 &  0 & 1085.9 & 0.8 & 1123.7 & 0.6 \\
1 &  1 & 1159.4 & 0.6 & 1196.0 & 0.3 \\
1 &  2 & 1234.8 & 0.8 & 1270.7 & 0.9 \\
1 &  3 & 1307.5 & 0.6 & 1349.3 & 0.5 \\
1 &  4 & 1384.1 & 0.6 & 1421.1 & 0.8 \\
1 &  5 & 1457.0 & 0.9 & 1495.5 & 0.9 \\
1 &  6 & 1535.5 & 0.7 & 1571.5 & 1.0 \\
1 &  7 & 1608.7 & 0.9 & 1644.4 & 1.3 \\
1 &  8 & 1682.8 & 1.0 & 1720.9 & 0.9 \\
1 &  9 & 1759.7 & 1.1 & 1797.9 & 1.3 \\
1 & 10 & 1835.9 & 1.5 & 1876.4 & 1.3 \\
1 & 11 & 1911.8 & 1.2 & 1948.1 & 2.3 \\
1 & 12 & 1987.9 & 1.7 & 2025.1 & 2.0 \\
1 & 13 & 2059.8 & 2.3 & 2102.0 & 1.7 \\
\hline
2 &  0 & 1128.2 & 0.6 & 1084.3 & 0.9 \\
2 &  1 & 1196.1 & 0.7 & 1161.5 & 0.9 \\
2 &  2 & 1260.3 & 0.7 & 1235.5 & 0.6 \\
2 &  3 & 1346.0 & 1.0 & 1297.5 & 0.6 \\
2 &  4 & 1415.6 & 1.3 & 1383.2 & 1.3 \\
2 &  5 & 1488.0 & 2.6 & 1456.9 & 3.7 \\
2 &  6 & 1560.5 & 2.1 & 1535.4 & 2.0 \\
2 &  7 & 1639.4 & 1.7 & 1609.1 & 2.0 \\
2 &  8 & 1720.9 & 3.6 & 1683.3 & 3.0 \\
2 &  9 & 1790.1 & 4.6 & 1753.3 & 5.1 \\
2 & 10 & 1866.6 & 2.8 & 1831.9 & 5.3 \\
2 & 11 & 1943.1 & 2.8 & 1911.2 & 4.6 \\
2 & 12 & 2021.4 & 6.1 & 1978.8 & 3.1 \\
2 & 13 & 2100.1 & 6.0 & 2051.8 & 4.5 \\
\hline
Order& &Width & Uncertainty&Width &Uncertainty \\
&& $\mu$Hz   &$\mu$Hz &  $\mu$Hz  &  $\mu$Hz  \\
 \hline
    0 &  &         2.24 & +1.39/--0.86 &         1.74 & +1.00/--0.63 \\
    1 &  &         2.08 & +0.81/--0.58 &         1.83 & +0.65/--0.48 \\
    2 &  &         2.71 & +1.06/--0.76 &         2.18 & +0.76/--0.56 \\
    3 &  &         3.25 & +1.05/--0.79 &         3.17 & +1.10/--0.81 \\
    4 &  &         3.88 & +0.86/--0.70 &         3.76 & +1.01/--0.80 \\
    5 &  &         6.46 & +1.05/--0.90 &         6.53 & +1.27/--1.06 \\
    6 &  &         6.96 & +1.00/--0.87 &         7.25 & +1.22/--1.04 \\
    7 &  &         7.36 & +1.07/--0.93 &         7.89 & +1.23/--1.06 \\
    8 &  &         7.62 & +1.21/--1.04 &         7.76 & +1.36/--1.16 \\
    9 &  &         8.85 & +1.52/--1.30 &         9.51 & +1.75/--1.48 \\
   10 &  &         7.60 & +1.76/--1.43 &         7.97 & +2.06/--1.64 \\
   11 &  &         9.12 & +2.04/--1.67 &         9.46 & +2.18/--1.77 \\
   12 &  &         9.00 & +2.67/--2.06 &         9.02 & +2.75/--2.11 \\
   13 &  &        12.17 & +4.58/--3.33 &        11.10 & +4.10/--2.99 \\
   \hline
%&&&&& \\[-8pt]
Height&$H_{\rm H}$ (ppm$^2\mu$Hz$^{-1}$) &0.62 & +0.08/--0.07 &   0.62 & +0.10/--0.09\\
&$\nu_{\rm H}$ ($\mu$Hz) &1403.5 & 77.7 & 1324.2 & 92.0\\
&$\sigma_{\rm H}$ ($\mu$Hz) &559.7 & 72.3 &  620.4 & 77.6\\
\hline
%&&&&& \\[-8pt]
Background&B  (ppm$^2\mu$Hz$^{-1}$)&0.28 & +0.01/--0.01 &         0.28 & +0.02/--0.02 \\
&K (ppm$^2\mu$Hz$^{-1}$)&82.8 & +3.8/--3.6 &        82.6 & +7.4/--6.8 \\
&C ($10^{-6}$ s$^2$)&208.6 & +9.6/--9.1 &       209.0 & +18.8/--17.2 \\
\hline
Splitting&$\nu_{\rm S}$ ($\mu$Hz) &4.0 &  0.2 &   3.9 &  0.3\\
Inclination &$i$ (deg)&41 &    5 &     41 &    5\\
Likelihood&$l_{\rm MAP}$&6708.8 & & 6709.7 &\\
\hline
\end{tabular}}
\end{table}