Table 3: The column densities ( $\times10^{13}~\rm cm^{-2}$) of the C $_2\ X^1\Sigma ^+_g\ (\nu \hbox {$^{\prime \prime }$ }=0)$ rotational levels ( $J\hbox {$^{\prime \prime }$ }$). The values written in boldface are derived from the (2-0) band of the C $_2\ A^1\Pi _u\ -\ X^1\Sigma ^+_g$ Phillips System. The values written in plain text were calculated from the Boltzmann distribution.
Star J $^{\prime\prime}$ = 0 J $^{\prime\prime}$ = 2 $J\hbox{$^{\prime\prime}$ }=4$ $J\hbox{$^{\prime\prime}$ }=6$ $J\hbox{$^{\prime\prime}$ }=8$ $J\hbox{$^{\prime\prime}$ }=10$ $J\hbox{$^{\prime\prime}$ }=12$ $J\hbox{$^{\prime\prime}$ }=14$ $J\hbox{$^{\prime\prime}$ }=16$ $J\hbox{$^{\prime\prime}$ }=18$ $J\hbox{$^{\prime\prime}$ }=20$ $N_{\rm tot}$(C2)
BD+59 2735 0.11 $\pm$ 0.04 1.53 $\pm$ 0.11 1.67 $\pm$ 0.12 1.02 $\pm$ 0.14 0.66 $\pm$ 0.10 0.34 $\pm$ 0.13 0.73 $\pm$ 0.15 0.63 $\pm$ 0.19 0.40 $\pm$ 0.09 0.10 0.05 7.25
BD+40 4220 0.61 $\pm$ 0.10 2.79 $\pm$ 0.29 4.14 $\pm$ 0.42 2.73 $\pm$ 0.37 0.86 $\pm$ 0.13 1.84 $\pm$ 0.31 0.67 $\pm$ 0.24 0.83 $\pm$ 0.30 0.64 $\pm$ 0.27 0.13 0.07 15.31
HD 13256 0.18 $\pm$ 0.01 1.00 $\pm$ 0.05 0.93 $\pm$ 0.08 0.99 $\pm$ 0.15 0.26 $\pm$ 0.06 0.42 $\pm$ 0.03 0.24 $\pm$ 0.02 0.30 $\pm$ 0.04 0.18 $\pm$ 0.02 0.04 0.02 4.56
HD 34078 0.29 $\pm$ 0.06 1.03 $\pm$ 0.08 1.51 $\pm$ 0.06 1.64 $\pm$ 0.15 0.72 $\pm$ 0.09 0.86 $\pm$ 0.06 0.59 $\pm$ 0.15 0.50 $\pm$ 0.05 0.37 $\pm$ 0.08 0.11 0.06 7.69
HD 204827 1.97 $\pm$ 0.20 7.62 $\pm$ 0.58 6.42 $\pm$ 0.52 4.20 $\pm$ 0.52 2.02 $\pm$ 0.29 1.54 $\pm$ 0.36 1.30 $\pm$ 0.41 1.15 $\pm$ 0.45 0.48 $\pm$ 0.40 0.31 0.16 27.17
HD 207538 0.38 $\pm$ 0.11 1.63 $\pm$ 0.22 1.59 $\pm$ 0.11 1.36 $\pm$ 0.05 0.82 $\pm$ 0.05 0.74 $\pm$ 0.03 0.85 $\pm$ 0.07 0.46 $\pm$ 0.17 0.24 $\pm$ 0.06 0.13 0.06 8.27
BD+59 451 1.01 $\pm$ 0.27 3.01 $\pm$ 0.73 2.73 $\pm$ 0.71 1.62 $\pm$ 0.44 0.40 $\pm$ 0.13 0.34 0.26 0.18 0.11 0.06 0.03 9.77
BD+59 456 0.43 $\pm$ 0.12 1.88 $\pm$ 0.64 1.81 $\pm$ 0.91 1.62 $\pm$ 0.53 0.63 $\pm$ 0.36 0.54 0.41 0.28 0.17 0.10 0.05 7.91
BD+60 594 0.45 $\pm$ 0.10 1.02 $\pm$ 0.52 1.26 $\pm$ 0.43 0.73 $\pm$ 0.22 0.71 0.61 0.46 0.31 0.19 0.11 0.06 5.92
HD 15785 0.57 $\pm$ 0.04 1.45 $\pm$ 0.18 1.19 $\pm$ 0.14 1.02 $\pm$ 0.19 0.99 0.84 0.64 0.44 0.27 0.15 0.08 7.65
HD 46149 0.21 0.95 1.37 $\pm$ 0.24 1.39 $\pm$ 0.25 0.73 $\pm$ 0.24 0.62 0.47 0.32 0.20 0.11 0.06 6.44
BD+58 2580 0.28 1.21 $\pm$ 0.17 1.54 $\pm$ 0.19 1.33 $\pm$ 0.30 0.78 $\pm$ 0.22 0.66 0.50 0.34 0.21 0.12 0.06 7.03
HD 210839 0.15 $\pm$ 0.04 0.27 $\pm$ 0.02 0.77 $\pm$ 0.08 0.43 $\pm$ 0.09 0.26 $\pm$ 0.05 0.22 0.17 0.12 0.07 0.04 0.02 2.54
HD 219287 0.19 $\pm$ 0.03 0.79 $\pm$ 0.13 1.23 $\pm$ 0.17 0.69 $\pm$ 0.08 0.67 0.57 0.44 0.30 0.18 0.10 0.05 5.23
HD 226868 0.38 $\pm$ 0.12 1.07 $\pm$ 0.54 1.47 $\pm$ 0.31 0.76 $\pm$ 0.22 0.73 $\pm$ 0.03 0.62 0.47 0.32 0.20 0.11 0.06 6.20
HD 235825 0.10 0.46 0.50 $\pm$ 0.13 0.83 $\pm$ 0.24 0.58 $\pm$ 0.15 0.77 $\pm$ 0.28 0.37 0.26 0.16 0.09 0.05 4.17
HD 186745 0.63 $\pm$ 0.11 2.18 $\pm$ 0.29 3.62 $\pm$ 0.42 1.53 $\pm$ 0.26 1.12 $\pm$ 0.17 0.49 $\pm$ 0.19 0.69 $\pm$ 0.23 0.47 $\pm$ 0.20 0.31 0.17 0.09 11.29
HD 206267 0.61 $\pm$ 0.10 1.87 $\pm$ 0.29 1.99 $\pm$ 0.28 1.58 $\pm$ 0.32 0.96 $\pm$ 0.24 0.51 $\pm$ 0.25 0.49 $\pm$ 0.24 0.42 0.26 0.15 0.08 8.93
HD 228712 0.31 $\pm$ 0.05 0.86 $\pm$ 0.08 0.80 $\pm$ 0.06 0.66 $\pm$ 0.08 0.32 $\pm$ 0.03 0.19 $\pm$ 0.08 0.34 $\pm$ 0.04 0.14 0.09 0.05 0.02 3.79
HD 228779 0.55 $\pm$ 0.11 0.94 $\pm$ 0.12 3.27 $\pm$ 0.23 1.17 $\pm$ 0.06 0.66 $\pm$ 0.08 0.56 0.43 0.29 0.18 0.10 0.05 8.21

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