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Appendix A: Confidence intervals for T_ex and N(CO) determination

To compare our observations with the emission expected from an isothermal slab model with a given T_ex and N(CO), we minimize the sum over all detections within one ro-vibrational transition following in the parameter space between

100 K ≤T_ex ≤ 2500 K and 10¹⁶ cm^-2≤N(CO) ≤ 10²⁰ cm^-2 for ¹²CO emission (Fig. A.1), and 100 K ≤T_ex ≤ 1200 K and 10¹⁷ cm^-2≤N(CO) ≤ 10²¹ cm^-2 for ¹³CO emission (Fig. A.2), in steps of ΔT_ex = 25 K and Δ¹⁰log(N(CO)) = 0.1. We define our fitting error as to all solutions within a 1 σ confidence interval of the best fit value. The best fit values are listed in Table 3.

	Fig. A.1 Best fit contours for associated 12CO Boltzmann plots. Color contours denote deviations of 1σ (green), 2σ (yellow), 3σ (orange) and >3σ (red) confidence intervals.
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	Fig. A.2 Best fit contours for associated 13CO Boltzmann plots. Color contours denote deviations of 1σ (green), 2σ (yellow), 3σ (orange) and >3σ (red) confidence intervals.
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Appendix B: Line flux tables

We list the fluxes and upper limits of the CO v = 2−0 R03 lines in Table B.2 and those of the Pfund β hydrogen recombination line in Table B.3. We were unable to identify this line in the spectrum of HD 101412 due to the many strong and overlapping ro-vibrational CO lines in the line region (c.g. Fig. 1).

We flux-calibrate the CO overtone spectra using the Ks magnitudes at 2.17 μm as published in the 2MASS catalog (Skrutskie et al. 2006), and the Pfund β and CO fundamental spectra with the 4.77 μm flux, as determined with a spline interpolation to the M band data points, from (e.g. Kilkenny et al. 1985; Hillenbrand et al. 1992; de Winter et al. 2001).

© ESO, 2015