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Table 7.

χ2 values of the cosmographic fits performed over the approximants considered in this work.

Sample DoF 𝒜 Approximant χ2
Taylor Function y2 Padé P2, 1
Combo 1113 1 1116.84 1230.71 1113.77
1112 2 1089.25 1160.04

Ghirlanda 1080 1 1120.19 1271.92 2203.16
1079 2 1075.01 1184.42

Yonetoku 1154 1 1235.08 1350.27 1178.07
1153 2 1147.72 1227.25

Amati 1246 1 2334.35 2818.25 2202.75
1245 2 2174.13 2539.98

Notes. For each GRB correlation, we report the number of degrees of freedom (DoF) and the considered hierarchy 𝒜. The correlations here are listed for increasing values of the ratio χ2/DoF, where the χ2 refers to the Taylor 𝒜1 expansion.

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