Table 4.

Summary of the model fits to the 51 segments within the |$20\sigma$|-level contour of the |$37\, \mu$|m continuum emission.*

ResidualEstimated in sub-subsection 4.1.1
MinMAD|$_{\rm stat}$|Max|$\alpha _{\rm WK}$||$\beta _{\rm WK}$||$|B_0^{\rm 3D}|$|
Model|$\chi ^2$|(⁠|$^{\circ}$|⁠)(⁠|$^{\circ}$|⁠)(⁠|$^{\circ}$|⁠)(mG)
gc129.80.596.0 ± 3.288.345240.20
gc232.90.8110.9 ± 3.283.535190.23
gc333.40.4413.4 ± 3.188.421110.29
gc444.29.3213.2 ± 2.785.622120.29
gc560.314.4915.1 ± 2.889.11480.35
gc1, 2, 3|$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$0.24^{+0.05}_{-0.04}$|
ResidualEstimated in sub-subsection 4.1.1
MinMAD|$_{\rm stat}$|Max|$\alpha _{\rm WK}$||$\beta _{\rm WK}$||$|B_0^{\rm 3D}|$|
Model|$\chi ^2$|(⁠|$^{\circ}$|⁠)(⁠|$^{\circ}$|⁠)(⁠|$^{\circ}$|⁠)(mG)
gc129.80.596.0 ± 3.288.345240.20
gc232.90.8110.9 ± 3.283.535190.23
gc333.40.4413.4 ± 3.188.421110.29
gc444.29.3213.2 ± 2.785.622120.29
gc560.314.4915.1 ± 2.889.11480.35
gc1, 2, 3|$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$0.24^{+0.05}_{-0.04}$|
*

The terms Min, MAD|$_{\rm stat}$|⁠, and Max denote the minimum, median absolute deviation, and maximum of the residuals, respectively. Here, MAD|$_{\rm stat}$| is defined as |$\text{median} ( | X_i - \text{median}(X) | )$|⁠. The errors of the MAD were estimated by approximating them with the standard error of the median. The weighted-mean |$|B_0^{\rm 3D}|$| in the last row was calculated using the |$\chi ^2$| values for the gc1, gc2, and gc3 models. This value is utilized in equations (5) and (6) for the inverse calculation of |$\alpha _{{\rm WK}}$| and |$\beta _{{\rm WK}}$| values.

Table 4.

Summary of the model fits to the 51 segments within the |$20\sigma$|-level contour of the |$37\, \mu$|m continuum emission.*

ResidualEstimated in sub-subsection 4.1.1
MinMAD|$_{\rm stat}$|Max|$\alpha _{\rm WK}$||$\beta _{\rm WK}$||$|B_0^{\rm 3D}|$|
Model|$\chi ^2$|(⁠|$^{\circ}$|⁠)(⁠|$^{\circ}$|⁠)(⁠|$^{\circ}$|⁠)(mG)
gc129.80.596.0 ± 3.288.345240.20
gc232.90.8110.9 ± 3.283.535190.23
gc333.40.4413.4 ± 3.188.421110.29
gc444.29.3213.2 ± 2.785.622120.29
gc560.314.4915.1 ± 2.889.11480.35
gc1, 2, 3|$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$0.24^{+0.05}_{-0.04}$|
ResidualEstimated in sub-subsection 4.1.1
MinMAD|$_{\rm stat}$|Max|$\alpha _{\rm WK}$||$\beta _{\rm WK}$||$|B_0^{\rm 3D}|$|
Model|$\chi ^2$|(⁠|$^{\circ}$|⁠)(⁠|$^{\circ}$|⁠)(⁠|$^{\circ}$|⁠)(mG)
gc129.80.596.0 ± 3.288.345240.20
gc232.90.8110.9 ± 3.283.535190.23
gc333.40.4413.4 ± 3.188.421110.29
gc444.29.3213.2 ± 2.785.622120.29
gc560.314.4915.1 ± 2.889.11480.35
gc1, 2, 3|$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$\cdot \cdot \cdot$||$0.24^{+0.05}_{-0.04}$|
*

The terms Min, MAD|$_{\rm stat}$|⁠, and Max denote the minimum, median absolute deviation, and maximum of the residuals, respectively. Here, MAD|$_{\rm stat}$| is defined as |$\text{median} ( | X_i - \text{median}(X) | )$|⁠. The errors of the MAD were estimated by approximating them with the standard error of the median. The weighted-mean |$|B_0^{\rm 3D}|$| in the last row was calculated using the |$\chi ^2$| values for the gc1, gc2, and gc3 models. This value is utilized in equations (5) and (6) for the inverse calculation of |$\alpha _{{\rm WK}}$| and |$\beta _{{\rm WK}}$| values.

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