\begin{table}%tC.1 \caption{\label{Table: redshift coverage species}The ranges in redshifts covered by our observations for the five lowest rotational lines of~H$_2$, HD, and~HeH$^+$.} %\centering \par \begin{tabular}{lrcrccc cc} \hline \hline \noalign{\smallskip} Species& Frequency & Transitions& $E_u$& A-coeff. &AC [GHz]& AOS [GHz] & AOS [GHz] & AC [GHz]\\ & [GHz] & $J_u$$-$$J_l$&[K] & [s$^{-1}$] & 486.5$-$492.0& 542.0$-$547.5& 547.0$-$563.0 & 563.0$-$578.0\\ \hline \noalign{\smallskip} H$_2$&10~621 & 2$-$0 &510 &2.94 $\times$ 10$^{-11}$& $z$ = 20.83$-$20.59 & 18.60$-$18.40 & 18.42$-$17.87 & 17.87$-$17.38 \\ &17~594 &3$-$1 &1015&4.76 $\times$ 10$^{-10}$ & $z$ = 35.16$-$34.76& 31.46$-$31.14 & 31.16$-$30.25 & 30.25$-$29.44 \\ &24~410 &4$-$2 &1681&2.75 $\times$ 10$^{-9}$& $z$ = 49.18$-$48.61 & 44.04$-$43.58 & 43.63$-$42.36 & 42.36$-$41.23 \\ &31~011 & 5$-$3 &2503 &9.83 $\times$ 10$^{-9}$ & $z$ = 62.74$-$62.03 & 56.22$-$55.64 & 55.69$-$54.08 & 54.08$-$52.65\\ &37~348 &6$-$4 &3474&2.64 $\times$ 10$^{-8}$& $z$ = 75.77$-$74.91 & 67.91$-$67.22 & 67.28$-$65.34 & 65.34$-$63.62 \\ HD &2~675 & 1$-$0 &128&5.32 $\times$ 10$^{-8}$& $z$ = 4.50$-$4.37 & 3.94$-$3.89 & 3.89$-$3.75 & 3.75$-$3.63 \\ &5332 & 2$-$1 &384&5.05 $\times$ 10$^{-7}$& $z$ = 9.96$-$9.84 & 8.84$-$8.74 & 8.75$-$8.47 & 8.47$-$8.22 \\ &7952 & 3$-$2 &766&1.80 $\times$ 10$^{-6}$& $z$ = 15.35$-$15.16 & 13.67$-$13.52 & 13.54$-$13.12 & 13.12$-$12.76 \\ &10~518 &4$-$3 &1271&4.31 $\times$ 10$^{-6}$& $z$ = 20.62$-$20.38 & 18.41$-$18.21 & 18.23$-$17.68 & 17.68$-$17.20 \\ &13~015 &5$-$4 &1895&8.35 $\times$ 10$^{-6}$& $z$ = 25.75$-$25.45 & 23.01$-$22.77 & 22.79$-$22.12 & 22.12$-$21.52 \\ HeH$^+$ &2~010 & 1$-$0 &96 &0.109 & $z$ = 3.13$-$3.09 & 2.71$-$2.67 & 2.67$-$2.57 & 2.57$-$2.48 \\ &4009 &2$-$1 &289&1.04& $z$ = 7.24$-$7.15 & 6.40$-$6.32 & 6.33$-$6.12 & 6.12$-$5.94 \\ &5984 & 3$-$2 &576&3.75& $z$ = 11.30$-$11.16 & 10.04$-$9.93 & 9.94$-$9.63 & 9.63$-$9.35 \\ &7925 & 4$-$3 &956&9.14& $z$ = 15.29$-$15.11 & 13.62$-$13.48 & 13.49$-$13.08 & 13.08$-$12.71 \\ &9821 &5$-$4 &1~428&18.1& $z$ = 19.19$-$18.96 & 17.12$-$16.94 & 16.95$-$16.44 & 16.44$-$15.99 \\ \hline \end{tabular} \end{table}