Test cases for our investigation of the impact of energy uncertainty correlations on nuclear reaction rate uncertainties. Shown as a solid line is the Gamow peak in arbitrary units calculated from Eq. (10) at three temperatures: 0.08 GK, 0.13 GK, and 0.2 GK in panels a, b, and c respectively. The reaction rate for each of the three narrow resonances described in Table 1 are shown as coloured points. The y-direction is scaled arbitrarily for clarity to highlight which resonances contribute most to the reaction rate and where they are located in comparison to the Gamow peak. This information is also displayed by the bar on the right of each panel. For example, in panel a, only one resonance – the keV resonance shown in green – contributes to the reaction rate. In panel b, two resonances – keV and keV in green and orange – contribute approximately 50% each to the reaction rate at 0.13 GK.