\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}