\begin{table} %\centering \par \caption{Predicted fluxes for the IRAS~16293$-$2422 test case. \label{fluxtest}} \begin{tabular}{ccccc} \hline\hline Transition & Freq. & $E_{\rm up}$ & $A_{ul}$ & Line flux \\ & {\tiny (GHz)} & {\tiny (cm$^{-1}$)} & {\tiny (s$^{-1}$)} & {\tiny(erg s$^{-1}$ cm$^{-2}$)} \\ \noalign{\smallskip} \hline \noalign{\smallskip} $3_{3,0}-3_{3,1}$&0.824671&233.050&2.12~$\times$~10$^{-12}$&2.6~$\times$~10$^{-28}$\\ $5_{0,5}-4_{2,2}$&3.29676&221.946&4.34~$\times$~10$^{-13}$&3.2~$\times$~10$^{-27}$\\ $4_{3,1}-4_{3,2}$&5.70278&295.677&4.17~$\times$~10$^{-10}$&2.1~$\times$~10$^{-25}$\\ $2_{2,0}-2_{2,1}$&10.2782&109.269&3.63~$\times$~10$^{-9}$&1.3~$\times$~10$^{-22}$\\ $3_{2,1}-4_{1,4}$&20.4600&157.064&9.58~$\times$~10$^{-9}$&2.6~$\times$~10$^{-22}$\\ $5_{3,2}-5_{3,3}$&22.3077&374.409&1.64~$\times$~10$^{-8}$&1.7~$\times$~10$^{-23}$\\ $3_{2,1}-3_{2,2}$&50.2363&157.064&2.08~$\times$~10$^{-7}$&1.8~$\times$~10$^{-20}$\\ $4_{3,1}-5_{2,4}$&61.1859&295.676&2.66~$\times$~10$^{-7}$&1.3~$\times$~10$^{-21}$\\ $6_{0,6}-5_{2,3}$&69.5506&306.312&3.48~$\times$~10$^{-9}$&1.2~$\times$~10$^{-22}$\\ $1_{1,0}-1_{1,1}$&80.5783&32.4939&1.32~$\times$~10$^{-6}$&2.7~$\times$~10$^{-18}$\\ $5_{1,5}-4_{2,2}$&120.778&225.862&1.33~$\times$~10$^{-6}$&3.8~$\times$~10$^{-19}$\\ $6_{1,6}-5_{2,3}$&138.531&308.612&1.43~$\times$~10$^{-6}$&9.7~$\times$~10$^{-20}$\\ $4_{2,2}-4_{2,3}$&143.727&221.832&2.80~$\times$~10$^{-6}$&2.6~$\times$~10$^{-19}$\\ $3_{2,1}-4_{0,4}$&207.111&157.060&1.14~$\times$~10$^{-7}$&4.2~$\times$~10$^{-20}$\\ $3_{1,2}-2_{2,1}$&225.897&116.456&1.31~$\times$~10$^{-5}$&7.0~$\times$~10$^{-17}$\\ $2_{1,1}-2_{1,2}$&241.562&66.1781&1.18~$\times$~10$^{-5}$&6.5~$\times$~10$^{-17}$\\ $5_{2,3}-4_{3,2}$&255.050&303.989&1.78~$\times$~10$^{-5}$&1.0~$\times$~10$^{-18}$\\ $2_{2,0}-3_{1,3}$&266.161&109.262&1.75~$\times$~10$^{-5}$&1.0~$\times$~10$^{-17}$\\ $5_{2,3}-5_{2,4}$&310.533&303.987&1.78~$\times$~10$^{-5}$&1.1~$\times$~10$^{-18}$\\ $6_{2,5}-5_{3,2}$&313.751&384.867&3.75~$\times$~10$^{-5}$&1.1~$\times$~10$^{-18}$\\ $3_{3,1}-4_{2,2}$&335.396&233.016&2.61~$\times$~10$^{-5}$&1.2~$\times$~10$^{-18}$\\ $5_{3,2}-6_{1,5}$&356.836&374.402&3.53~$\times$~10$^{-7}$&5.8~$\times$~10$^{-21}$\\ $1_{0,1}-0_{0,0}$&464.925&15.4975&1.69~$\times$~10$^{-4}$&2.5~$\times$~10$^{-15}$\\ $3_{3,0}-4_{2,3}$&479.947&233.039&7.28~$\times$~10$^{-5}$&4.6~$\times$~10$^{-18}$\\ $3_{1,2}-3_{1,3}$&481.780&116.449&4.74~$\times$~10$^{-5}$&2.6~$\times$~10$^{-16}$\\ $2_{0,2}-1_{1,1}$&490.597&46.1612&5.25~$\times$~10$^{-4}$&6.4~$\times$~10$^{-15}$\\ $1_{1,0}-1_{0,1}$&509.292&32.4844&2.32~$\times$~10$^{-3}$&1.8~$\times$~10$^{-15}$\\ $2_{2,0}-3_{0,3}$&537.793&109.256&9.94~$\times$~10$^{-7}$&1.8~$\times$~10$^{-18}$\\ $2_{1,1}-2_{0,2}$&599.927&66.1706&3.45~$\times$~10$^{-3}$&2.9~$\times$~10$^{-15}$\\ $3_{1,2}-3_{0,3}$&753.411&116.444&5.90~$\times$~10$^{-3}$&4.2~$\times$~10$^{-15}$\\ $4_{1,3}-4_{1,4}$&797.487&182.965&1.31~$\times$~10$^{-4}$&3.2~$\times$~10$^{-16}$\\ $4_{1,3}-3_{2,2}$&827.263&182.964&1.28~$\times$~10$^{-3}$&4.2~$\times$~10$^{-15}$\\ $2_{1,2}-1_{1,1}$&848.962&58.1067&9.27~$\times$~10$^{-4}$&1.0~$\times$~10$^{-14}$\\ $1_{1,1}-0_{0,0}$&893.639&29.7880&8.35~$\times$~10$^{-3}$&1.1~$\times$~10$^{-14}$\\ $4_{3,1}-5_{1,4}$&912.605&295.656&2.74~$\times$~10$^{-6}$&2.1~$\times$~10$^{-19}$\\ $2_{0,2}-1_{0,1}$&919.311&46.1517&1.56~$\times$~10$^{-3}$&1.5~$\times$~10$^{-14}$\\ $4_{1,3}-4_{0,4}$&984.138&182.961&1.07~$\times$~10$^{-2}$&5.4~$\times$~10$^{-15}$\\ $3_{0,3}-2_{1,2}$&995.411&91.3064&7.04~$\times$~10$^{-3}$&2.3~$\times$~10$^{-14}$\\ $2_{1,1}-1_{1,0}$&1009.94&66.1608&1.56~$\times$~10$^{-3}$&1.5~$\times$~10$^{-14}$\\ $5_{2,3}-5_{1,4}$&1161.95&303.968&2.19~$\times$~10$^{-2}$&1.6~$\times$~10$^{-15}$\\ $4_{2,2}-4_{1,3}$&1164.77&221.809&2.00~$\times$~10$^{-2}$&3.0~$\times$~10$^{-15}$\\ $5_{1,4}-5_{1,5}$&1180.32&265.208&2.97~$\times$~10$^{-4}$&2.3~$\times$~10$^{-16}$\\ $3_{2,1}-3_{1,2}$&1217.26&157.036&1.89~$\times$~10$^{-2}$&4.4~$\times$~10$^{-15}$\\ $3_{1,3}-2_{1,2}$&1267.04&100.361&3.91~$\times$~10$^{-3}$&2.8~$\times$~10$^{-14}$\\ $2_{1,2}-1_{0,1}$&1277.68&58.0972&2.19~$\times$~10$^{-2}$&3.1~$\times$~10$^{-14}$\\ $2_{2,0}-2_{1,1}$&1291.64&109.239&1.59~$\times$~10$^{-2}$&6.3~$\times$~10$^{-15}$\\ $5_{1,4}-5_{0,5}$&1297.81&265.206&1.97~$\times$~10$^{-2}$&5.4~$\times$~10$^{-15}$\\ $3_{0,3}-2_{0,2}$&1353.78&91.2989&5.30~$\times$~10$^{-3}$&3.6~$\times$~10$^{-14}$\\ $3_{2,2}-2_{2,1}$&1392.92&155.357&3.25~$\times$~10$^{-3}$&7.3~$\times$~10$^{-15}$\\ \hline $3_{2,1}-2_{2,0}$&1432.88&157.032&3.54~$\times$~10$^{-3}$&7.2~$\times$~10$^{-15}$\\ $5_{1,4}-4_{2,3}$&1444.83&265.202&1.02~$\times$~10$^{-2}$&8.6~$\times$~10$^{-15}$\\ $4_{0,4}-3_{1,3}$&1491.93&150.121&3.07~$\times$~10$^{-2}$&4.0~$\times$~10$^{-14}$\\ $3_{3,0}-4_{1,3}$&1500.99&233.016&3.67~$\times$~10$^{-6}$&7.9~$\times$~10$^{-19}$\\ $3_{1,2}-2_{1,1}$&1507.26&116.426&6.58~$\times$~10$^{-3}$&3.6~$\times$~10$^{-14}$\\ $2_{2,1}-2_{1,2}$&1522.93&108.890&2.06~$\times$~10$^{-2}$&1.1~$\times$~10$^{-14}$\\ $6_{1,5}-6_{1,6}$&1615.63&362.469&5.84~$\times$~10$^{-4}$&1.5~$\times$~10$^{-16}$\\ $3_{1,3}-2_{0,2}$&1625.41&100.353&4.49~$\times$~10$^{-2}$&5.4~$\times$~10$^{-14}$\\ $3_{2,2}-3_{1,3}$&1648.80&155.350&3.08~$\times$~10$^{-2}$&1.1~$\times$~10$^{-14}$\\ $4_{1,4}-3_{1,3}$&1678.58&156.343&9.92~$\times$~10$^{-3}$&4.1~$\times$~10$^{-14}$\\ $6_{1,5}-6_{0,6}$&1684.61&362.468&3.47~$\times$~10$^{-2}$&4.3~$\times$~10$^{-15}$\\ $4_{0,4}-3_{0,3}$&1763.56&150.115&1.20~$\times$~10$^{-2}$&5.0~$\times$~10$^{-14}$\\ $4_{2,3}-4_{1,4}$&1818.53&217.000&4.12~$\times$~10$^{-2}$&1.0~$\times$~10$^{-14}$\\ $4_{2,3}-3_{2,2}$&1848.31&216.999&1.06~$\times$~10$^{-2}$&1.1~$\times$~10$^{-14}$\\ $4_{3,2}-3_{3,1}$&1872.61&295.443&6.46~$\times$~10$^{-3}$&9.6~$\times$~10$^{-16}$\\ $4_{3,1}-3_{3,0}$&1877.49&295.634&6.51~$\times$~10$^{-3}$&9.7~$\times$~10$^{-16}$\\ $2_{2,1}-2_{0,2}$&1881.29&108.883&1.21~$\times$~10$^{-4}$&7.6~$\times$~10$^{-16}$\\ $3_{2,2}-3_{0,3}$&1920.43&155.344&3.04~$\times$~10$^{-4}$&1.1~$\times$~10$^{-15}$\\ $4_{2,2}-3_{2,1}$&1941.80&221.791&1.23~$\times$~10$^{-2}$&1.1~$\times$~10$^{-14}$\\ \par $5_{3,3}-6_{1,6}$&1950.15&373.620&1.11~$\times$~10$^{-5}$&9.4~$\times$~10$^{-19}$\\ $5_{3,3}-6_{1,6}$&1950.15&373.620&1.11~$\times$~10$^{-5}$&6.3~$\times$~10$^{-14}$\\ $5_{0,5}-4_{1,4}$&1965.55&221.900&8.28~$\times$~10$^{-2}$&4.2~$\times$~10$^{-14}$\\ $4_{1,3}-3_{1,2}$&1994.29&182.937&1.66~$\times$~10$^{-2}$&4.0~$\times$~10$^{-14}$\\ $4_{2,3}-4_{0,4}$&2005.18&216.995&5.46~$\times$~10$^{-4}$&8.0~$\times$~10$^{-16}$\\ $5_{3,3}-6_{0,6}$&2019.13&373.618&4.52~$\times$~10$^{-4}$&3.9~$\times$~10$^{-17}$\\ $5_{2,4}-5_{1,5}$&2031.74&293.589&5.43~$\times$~10$^{-2}$&7.9~$\times$~10$^{-15}$\\ $6_{1,5}-5_{2,4}$&2064.69&362.459&4.07~$\times$~10$^{-2}$&9.5~$\times$~10$^{-15}$\\ $5_{1,5}-4_{1,4}$&2083.04&225.816&1.98~$\times$~10$^{-2}$&3.4~$\times$~10$^{-14}$\\ $4_{3,2}-5_{1,5}$&2087.23&295.438&9.50~$\times$~10$^{-6}$&1.6~$\times$~10$^{-18}$\\ $5_{3,2}-5_{2,3}$&2110.99&374.360&8.12~$\times$~10$^{-2}$&3.0~$\times$~10$^{-15}$\\ $5_{2,4}-5_{0,5}$&2149.22&293.587&8.51~$\times$~10$^{-4}$&4.5~$\times$~10$^{-16}$\\ $5_{0,5}-4_{0,4}$&2152.20&221.896&2.23~$\times$~10$^{-2}$&4.0~$\times$~10$^{-14}$\\ $4_{3,2}-5_{0,5}$&2204.71&295.436&3.39~$\times$~10$^{-4}$&6.0~$\times$~10$^{-17}$\\ $4_{3,1}-4_{2,2}$&2213.71&295.626&7.73~$\times$~10$^{-2}$&5.3~$\times$~10$^{-15}$\\ $5_{1,5}-4_{0,4}$&2269.69&225.812&1.36~$\times$~10$^{-1}$&5.3~$\times$~10$^{-14}$\\ $3_{3,0}-3_{2,1}$&2278.02&232.998&5.79~$\times$~10$^{-2}$&7.5~$\times$~10$^{-15}$\\ $6_{2,5}-6_{1,6}$&2286.21&384.822&7.15~$\times$~10$^{-2}$&5.4~$\times$~10$^{-15}$\\ $2_{2,1}-1_{1,0}$&2291.31&108.873&1.26~$\times$~10$^{-1}$&3.9~$\times$~10$^{-14}$\\ $5_{2,4}-4_{2,3}$&2296.25&293.583&2.32~$\times$~10$^{-2}$&9.6~$\times$~10$^{-15}$\\ \par $3_{3,1}-4_{1,4}$&2297.65&232.970&5.62~$\times$~10$^{-6}$&1.8~$\times$~10$^{-18}$\\ $3_{3,1}-3_{2,2}$&2327.43&232.970&6.09~$\times$~10$^{-2}$&7.9~$\times$~10$^{-15}$\\ $5_{3,3}-4_{3,2}$&2343.74&373.612&1.89~$\times$~10$^{-2}$&1.7~$\times$~10$^{-15}$\\ $4_{3,2}-4_{2,3}$&2351.73&295.432&8.88~$\times$~10$^{-2}$&6.0~$\times$~10$^{-15}$\\ $6_{2,5}-6_{0,6}$&2355.19&384.820&1.23~$\times$~10$^{-3}$&2.4~$\times$~10$^{-16}$\\ $5_{3,2}-4_{3,1}$&2360.34&374.355&1.93~$\times$~10$^{-2}$&1.8~$\times$~10$^{-15}$\\ \par $2_{2,0}-1_{1,1}$&2382.17&109.214&1.29~$\times$~10$^{-1}$&4.4~$\times$~10$^{-14}$\\ $5_{3,3}-5_{2,4}$&2399.22&373.610&1.07~$\times$~10$^{-1}$&4.2~$\times$~10$^{-15}$\\ $6_{0,6}-5_{1,5}$&2411.83&306.258&1.70~$\times$~10$^{-1}$&3.3~$\times$~10$^{-14}$\\ $5_{2,3}-4_{2,2}$&2463.05&303.938&2.89~$\times$~10$^{-2}$&1.0~$\times$~10$^{-14}$\\ $5_{1,4}-4_{1,3}$&2465.87&265.179&3.27~$\times$~10$^{-2}$&2.7~$\times$~10$^{-14}$\\ $6_{1,6}-5_{1,5}$&2480.81&308.558&3.44~$\times$~10$^{-2}$&2.0~$\times$~10$^{-14}$\\ $3_{3,1}-4_{0,4}$&2484.30&232.966&1.56~$\times$~10$^{-4}$&5.1~$\times$~10$^{-17}$\\ $6_{0,6}-5_{0,5}$&2529.31&306.256&3.67~$\times$~10$^{-2}$&2.3~$\times$~10$^{-14}$\\ $6_{1,6}-5_{0,5}$&2598.29&308.556&2.18~$\times$~10$^{-1}$&3.7~$\times$~10$^{-14}$\\ $3_{2,2}-2_{1,1}$&2674.28&155.327&1.59~$\times$~10$^{-1}$&4.8~$\times$~10$^{-14}$\\ \hline $6_{2,5}-5_{2,4}$&2735.28&384.812&4.22~$\times$~10$^{-2}$&6.9~$\times$~10$^{-15}$\\ $2_{2,0}-1_{0,1}$&2810.88&109.204&2.43~$\times$~10$^{-4}$&2.2~$\times$~10$^{-15}$\\ $6_{1,5}-5_{1,4}$&2916.11&362.440&5.53~$\times$~10$^{-2}$&1.5~$\times$~10$^{-14}$\\ $3_{2,1}-2_{1,2}$&2966.08&156.995&1.62~$\times$~10$^{-1}$&5.8~$\times$~10$^{-14}$\\ $4_{2,3}-3_{1,2}$&3015.33&216.972&2.05~$\times$~10$^{-1}$&4.6~$\times$~10$^{-14}$\\ $5_{3,3}-5_{1,4}$&3250.64&373.591&7.43~$\times$~10$^{-4}$&9.9~$\times$~10$^{-17}$\\ $5_{2,4}-4_{1,3}$&3317.29&293.559&2.63~$\times$~10$^{-1}$&3.6~$\times$~10$^{-14}$\\ \par $3_{2,1}-2_{0,2}$&3324.45&156.988&8.77~$\times$~10$^{-4}$&4.6~$\times$~10$^{-15}$\\ $4_{3,2}-4_{1,3}$&3372.77&295.409&4.06~$\times$~10$^{-4}$&1.0~$\times$~10$^{-16}$\\ $3_{3,1}-3_{1,2}$&3494.45&232.943&1.57~$\times$~10$^{-4}$&6.6~$\times$~10$^{-17}$\\ $6_{2,5}-5_{1,4}$&3586.70&384.793&3.37~$\times$~10$^{-1}$&2.4~$\times$~10$^{-14}$\\ $4_{2,2}-3_{1,3}$&3640.83&221.751&1.96~$\times$~10$^{-1}$&5.9~$\times$~10$^{-14}$\\ $3_{3,1}-2_{2,0}$&3710.07&232.938&6.26~$\times$~10$^{-1}$&3.6~$\times$~10$^{-14}$\\ $3_{3,0}-2_{2,1}$&3721.17&232.965&6.30~$\times$~10$^{-1}$&3.5~$\times$~10$^{-14}$\\ $4_{2,2}-3_{0,3}$&3912.47&221.746&1.99~$\times$~10$^{-3}$&4.4~$\times$~10$^{-15}$\\ $3_{3,0}-3_{1,3}$&3977.05&232.958&1.37~$\times$~10$^{-4}$&5.8~$\times$~10$^{-17}$\\ \par $4_{3,2}-3_{2,1}$&4149.80&295.391&6.85~$\times$~10$^{-1}$&3.4~$\times$~10$^{-14}$\\ $4_{3,1}-4_{1,4}$&4175.96&295.581&3.25~$\times$~10$^{-4}$&8.7~$\times$~10$^{-17}$\\ $4_{3,1}-3_{2,2}$&4205.74&295.580&7.02~$\times$~10$^{-1}$&3.3~$\times$~10$^{-14}$\\ $3_{3,0}-3_{0,3}$&4248.69&232.953&2.23~$\times$~10$^{-3}$&8.7~$\times$~10$^{-16}$\\ $4_{3,1}-4_{0,4}$&4362.61&295.576&8.17~$\times$~10$^{-3}$&2.0~$\times$~10$^{-15}$\\ $5_{2,3}-4_{1,4}$&4425.31&303.892&2.21~$\times$~10$^{-1}$&4.9~$\times$~10$^{-14}$\\ $5_{3,2}-5_{1,5}$&4453.27&374.306&5.25~$\times$~10$^{-4}$&8.5~$\times$~10$^{-17}$\\ $5_{3,3}-4_{2,2}$&4551.74&373.561&7.54~$\times$~10$^{-1}$&3.0~$\times$~10$^{-14}$\\ $5_{3,2}-5_{0,5}$&4570.75&374.304&1.73~$\times$~10$^{-2}$&2.5~$\times$~10$^{-15}$\\ $5_{2,3}-4_{0,4}$&4611.96&303.888&3.35~$\times$~10$^{-3}$&2.6~$\times$~10$^{-15}$\\ $5_{3,2}-4_{2,3}$&4717.77&374.300&7.96~$\times$~10$^{-1}$&2.9~$\times$~10$^{-14}$\\ $3_{3,0}-2_{1,1}$&5002.54&232.935&4.68~$\times$~10$^{-4}$&1.8~$\times$~10$^{-16}$\\ $3_{3,1}-2_{1,2}$&5243.27&232.902&4.16~$\times$~10$^{-4}$&1.5~$\times$~10$^{-16}$\\ \par $4_{3,1}-3_{1,2}$&5372.76&295.553&1.32~$\times$~10$^{-3}$&3.3~$\times$~10$^{-16}$\\ $3_{3,1}-2_{0,2}$&5601.64&232.894&3.24~$\times$~10$^{-3}$&7.3~$\times$~10$^{-16}$\\ $5_{3,2}-4_{1,3}$&5738.82&374.277&2.85~$\times$~10$^{-3}$&4.7~$\times$~10$^{-16}$\\ $4_{3,2}-3_{1,3}$&5848.84&295.351&1.02~$\times$~10$^{-3}$&1.8~$\times$~10$^{-16}$\\ $4_{3,2}-3_{0,3}$&6120.47&295.346&1.56~$\times$~10$^{-2}$&1.5~$\times$~10$^{-15}$\\ $5_{3,3}-4_{1,4}$&6514.00&373.515&1.83~$\times$~10$^{-3}$&1.8~$\times$~10$^{-16}$\\ $5_{3,3}-4_{0,4}$&6700.65&373.511&4.38~$\times$~10$^{-2}$&2.7~$\times$~10$^{-15}$\\ \hline \end{tabular} \end{table}