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Table 3.

Median fractional 3D and 2D residuals obtained at 0.02 R500 (third column), R500 (fourth column), 2 R500 (fifth column), and over the full radial range (sixth column) for the fitting schemes and samples in Sects. 5.15.3.

Sample Case 0.02 R500 R500 2 R500 Full range
3D–3D fit with fine binning (48 data points)
Full sample 3D −0.010 ± 0.060 0.010 ± 0.051 −0.020 ± 0.120 −0.001 ± 0.042
MD20 3D −0.018 ± 0.017 0.014 ± 0.085 0.093 ± 0.128 0.000 ± 0.048
MR20 3D 0.035 ± 0.065 0.014 ± 0.035 −0.060 ± 0.045 −0.002 ± 0.032
MI20 3D 0.002 ± 0.060 0.027 ± 0.061 −0.125 ± 0.132 0.001 ± 0.052
MS20 3D −0.033 ± 0.048 0.002 ± 0.045 −0.037 ± 0.110 −0.001 ± 0.029

2D–3D fit with fine binning (48 data points)

Full sample 2D 0.009 ± 0.027 0.004 ± 0.040 −0.018 ± 0.095 −0.002 ± 0.027
Full sample 3D 0.021 ± 0.110 0.014 ± 0.052 −0.018 ± 0.095 −0.003 ± 0.045
MD20 2D −0.001 ± 0.037 −0.009 ± 0.065 0.067 ± 0.105 0.000 ± 0.033
MD20 3D −0.021 ± 0.120 0.021 ± 0.088 0.067 ± 0.105 −0.002 ± 0.058
MR20 2D 0.020 ± 0.035 0.016 ± 0.031 −0.050 ± 0.037 −0.003 ± 0.023
MR20 3D 0.089 ± 0.120 0.015 ± 0.035 −0.050 ± 0.037 −0.003 ± 0.035
MI20 2D 0.019 ± 0.015 0.014 ± 0.035 −0.106 ± 0.120 0.000 ± 0.038
MI20 3D 0.049 ± 0.135 0.025 ± 0.070 −0.106 ± 0.120 −0.001 ± 0.064
MS20 2D 0.010 ± 0.013 0.006 ± 0.040 −0.036 ± 0.065 −0.002 ± 0.018
MS20 3D 0.015 ± 0.080 0.012 ± 0.043 −0.036 ± 0.065 −0.002 ± 0.031

2D–3D fit with coarse binning (12 data points)

Full sample 2D 0.001 ± 0.008 −0.026 ± 0.073 −0.002 ± 0.026
Full sample 3D 0.003 ± 0.071 −0.010 ± 0.064 −0.07 ± 0.185 −0.006 ± 0.051
MD20 2D −0.003 ± 0.010 −0.009 ± 0.065 −0.004 ± 0.028
MD20 3D 0.006 ± 0.045 −0.010 ± 0.80 0.113 ± 0.243 −0.006 ± 0.058
MR20 2D −0.001 ± 0.007 −0.024 ± 0.056 - −0.003 ± 0.021
MR20 3D 0.069 ± 0.063 0.006 ± 0.50 −0.138 ± 0.101 −0.006 ± 0.042
MI20 2D −0.002 ± 0.007 −0.014 ± 0.051 −0.003 ± 0.030
MI20 3D −0.014 ± 0.047 0.012 ± 0.50 −0.174 ± 0.175 −0.007 ± 0.065
MS20 2D −0.000 ± 0.006 −0.025 ± 0.060 0.000 ± 0.018
MS20 3D 0.034 ± 0.055 0.005 ± 0.60 −0.08 ± 0.165 0.000 ± 0.036

2D–3D fit with coarse binning (6 data points)

Full sample 2D −0.006 ± 0.022 −0.022 ± 0.070 −0.008 ± 0.038
Full sample 3D 0.050 ± 0.128 −0.004 ± 0.090 −0.080 ± 0.235 −0.014 ± 0.075
MD20 2D −0.008 ± 0.027 −0.016 ± 0.070 −0.009 ± 0.040
MD20 3D 0.005 ± 0.060 0.002 ± 0.115 0.101 ± 0.255 −0.016 ± 0.082
MR20 2D −0.016 ± 0.015 −0.018 ± 0.062 −0.009 ± 0.032
MR20 3D 0.073 ± 0.130 0.009 ± 0.075 −0.131 ± 0.140 −0.016 ± 0.060
MI20 2D −0.004 ± 0.0175 −0.040 ± 0.055 −0.009 ± 0.040
MI20 3D 0.024 ± 0.035 0.000 ± 0.070 −0.194 ± 0.225 −0.017 ± 0.090
MS20 2D −0.008 ± 0.0150 −0.008 ± 0.065 −0.003 ± 0.025
MS20 3D 0.102 ± 0.110 0.011 ± 0.95 −0.072 ± 0.200 −0.006 ± 0.050

Notes. The errors are given at 1-σ level. The reconstructed 2D and 3D temperature profiles at the last point (i.e 2 R500) are by construction identical for the 2D–3D fit with fine binning case. The fine binning cases represent high resolution simulated temperature profiles, and the coarse binning cases represent lower resolution observational-like temperature profiles. The constraints on the residuals become weaker with decreasing resolution. Even in the coarse binning cases, the residuals remain consistently below 5% within the fitting range (i.e. [0.02–1] R500). In all the cases, MS20 and MR20 sub-samples provide the tightest constraints across the full radial range.

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