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Fig. A.1.

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Statistics of positive and negative peaks from natural-weighted spectral cubes, collapsed with various velocity bin sizes at 30–170 km s−1. The maximum S/N = 6.67 is seen at the centroid of JADES-GS-z14-0 at 223.524 GHz with a velocity bin size of 130 km s−1, for which we interpret as an [O III] 88 μm line detection at z = 14.1796. This is much more significant than the strongest negative peak seen in the spectral cube (−5.7σ). Therefore, we conclude the fidelity of ALMA line detection.

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