ner_tags: O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Citation O O O O O O O O O O O O O O O O O O B-Wavelength O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Formula I-Formula I-Formula O O O O O O B-Formula I-Formula I-Formula O O O O O O O O O O O O O B-Citation O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Citation O O O O O O O O O O O O O O O O B-Formula I-Formula I-Formula I-Formula O O O O O B-Formula I-Formula I-Formula I-Formula O O O O O O O O O O O O O O O B-Formula I-Formula I-Formula I-Formula O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Formula I-Formula I-Formula I-Formula O O O O O B-Formula I-Formula I-Formula I-Formula O O O O O O O O O O O B-Formula I-Formula I-Formula I-Formula I-Formula I-Formula O B-Formula I-Formula I-Formula I-Formula O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Formula I-Formula I-Formula O O O O O B-Formula I-Formula I-Formula I-Formula O O O O O O B-Formula I-Formula I-Formula I-Formula O O O O O O
tokens: ± 71, 604 ± 21, and 569 ± 22, respectively, consistent with the adopted value given the size of the 95% CIs. Plots of this experiment’s results are not shown owing to their similarity to Figure 6 , with the exception that the θ p plots for the and data show more scatter and larger 95% CIs than the results shown in Figure 6 for the data. The conclusion of the first experiment is that different data are an unlikely explanation for the differences between the adopted value of θ o and the previous estimates. The second experiment fits ellipses to isophotes in sky and galaxy coordinates using the method of J87 to determine whether the results for this method depend on the coordinate system used. Both and for the NIR data are used for determining whether the results for this experiment depend on whether or not the data are filtered for 180° symmetry. Different initial values for the position angles in sky coordinates, φ oi , and phase angles in galaxy coordinates, θ oi , are used for determining whether the results for this experiment depend on these initial values. Initial values of i = 0.23 are used for sky coordinates, and i = 0.10 for galaxy coordinates. These i are adopted from the mean values found by M95 . The ellipse centers are assumed to be the kinematic centers adopted in this paper. The results are shown in Figure 26 . Figure 26. Results for ellipses fit to isophotes. Panel (a) shows the results for sky coordinates. Panel (b) shows the results for galaxy coordinates. The data type and initial values for the different markers are indicated in each panel. The red filled circles and green filled triangles are slightly offset from the center of each ring of data for clarity. The cyan shaded region in panel (b) shows the 95% CI for the adopted value of θ o . The results for sky coordinates shown in panel (a) of Figure 26 are in excellent agreement with the results shown in Figure 2 of M95 . The mean of the φ o results for the data is 927 ± 19 when φ oi = 931 and 931 ± 22 when φ oi = 568. The mean of the φ o results for the data is 925 ± 35 when φ oi = 931. These are all consistent with the mean of the previous estimates given the size of the 95% CIs. The results for galaxy coordinates are shown in panel (b) of Figure 26 . The mean of the θ o results for the data is 534 ± 54 when θ oi = 206 and 547 ± 62 when θ oi = 598. The mean of the θ o results for the data is θ o = 551 ± 42 when θ oi = 206. These are all consistent with the adopted value of θ o given the size of the 95% CIs. The results for the second experiment are inconsequential to the goal of the three experiments, so plots of them are not shown. The results for in sky coordinates consistently differ from the initial values by only a few percent and converge to a mean of ≈0.23. The results for in galaxy coordinates converge to a mean of 0.16 for the data when θ oi = 206, 0.17 for the data when θ oi = 598, and 0.14 for the data when θ oi = 206. There are two conclusions from the