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Table 4.

Parameters for the rotated hyperbolic paraboloid of Eq. (12) for Q and U vs x and y positions (pixels) for BVRIHα filters.

Filter Q
aQ [103] bQ [103] θQ [°] x0, Q − 1226 y0, Q − 1025 ⟨Res[10−2%]⟩ ( ⋆ )
B band 10.995 ± 0.004 10.673 ± 0.003 −43.172 ± 0.022 −254.9 ± 0.2 132.1 ± 0.2 1.53 ± 2.13
V band 9.688 ± 0.002 10.129 ± 0.003 −43.894 ± 0.018 −283.9 ± 0.2 191.7 ± 0.2 1.55 ± 2.51
R band 9.208 ± 0.002 9.285 ± 0.002 −48.478 ± 0.016 −260.1 ± 0.2 152.4 ± 0.2 1.11 ± 2.13
I band 8.556 ± 0.002 8.643 ± 0.002 −49.274 ± 0.014 −297.9 ± 0.2 177.3 ± 0.2 0.91 ± 2.46

U
aU [103] bU [103] θU [°] x0, U − 1226 y0, U − 1025 ⟨Res[10−2%]⟩ ( ⋆ )

B band 10.045 ± 0.003 10.528 ± 0.004 −0.361 ± 0.011 −226.4 ± 0.2 214.7 ± 0.2 −0.18 ± 2.75
V band 8.981 ± 0.002 9.574 ± 0.003 −0.584 ± 0.009 −296.3 ± 0.2 216.9 ± 0.2 0.30 ± 3.67
R band 8.781 ± 0.002 9.071 ± 0.003 −2.644 ± 0.008 −278.9 ± 0.1 195.5 ± 0.1 −0.02 ± 3.43
I band 8.414 ± 0.002 8.443 ± 0.002 −3.810 ± 0.008 −311.1 ± 0.1 159.0 ± 0.1 0.33 ± 3.97

Notes. The origin is taken at the bottom left of the combined image. ( ⋆ )Median and median absolute deviation of the residual between original map and fitted paraboloid.

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