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Table 3

Extracted frequencies ν0 and rotational splittings δνs for the l = 1 modes of KIC5184199, KIC4659821, KIC8962923, and KIC3744681.

KIC5184199

ν0 (μHz) δνs (μHz) i (°) p-value Posterior probability (%)

69.466 ± 0.009 0.105 ± 0.009 90.00 ± 9.60 0.019 92.0
76.319 ± 0.008 0.086 ± 0.009 90.00 ± 6.70 0.003 95.0
82.640 ± 0.011 0.098 ± 0.011 90.00 ± 12.98 0.039 55.8
84.883 ± 0.009 0.080 ± 0.009 89.99 ± 67.88 0.008 99.1
91.505 ± 0.007 0.093 ± 0.007 90.00 ± 10.56 0.000 100.0
92.614 ± 0.009 0.130 ± 0.012 54.09 ± 6.90 0.010 86.2
94.115 ± 0.010 0.102 ± 0.009 90.00 ± 9.93 0.000 98.2
98.241 ± 0.004 0.093 ± 0.004 79.98 ± 4.10 0.000 100.0
101.195 ± 0.009 0.076 ± 0.010 90.00 ± 17.27 0.003 96.7
105.753 ± 0.014 0.106 ± 0.013 90.00 ± 17.29 0.043 99.6
KIC4659821

ν0 (μHz) δνs (μHz) i (°) p-value Posterior probability (%)

80.659 ± 0.007 0.088 ± 0.008 74.27 ± 7.66 0.002 93.2
94.645 ± 0.004 0.082 ± 0.005 78.71 ± 5.16 0.000 99.8
96.193 ± 0.009 0.069 ± 0.009 90.00 ± 16.60 0.019 91.7
110.366 ± 0.008 0.085 ± 0.008 90.00 ± 9.88 0.006 99.5
112.513 ± 0.012 0.082 ± 0.017 79.58 ± 22.04 0.011 83.5
113.765 ± 0.010 0.084 ± 0.013 71.38 ± 10.90 0.006 94.8
KIC8962923

ν0 (μHz) δνs (μHz) i (°) p-value Posterior probability (%)

57.275 ± 0.004 0.070 ± 0.004 70.68 ± 8.97 0.015 49.3
70.532 ± 0.004 0.069 ± 0.004 81.46 ± 6.65 0.000 99.1
71.883 ± 0.006 0.058 ± 0.006 90.00 ± 14.54 0.004 98.3
72.932 ± 0.010 0.080 ± 0.010 90.00 ± 10.66 0.027 91.2
73.958 ± 0.004 0.065 ± 0.005 68.92 ± 6.47 0.001 99.5
77.046 ± 0.004 0.077 ± 0.004 72.66 ± 6.30 0.005 97.5
78.672 ± 0.006 0.083 ± 0.006 65.72 ± 7.83 0.020 94.9
81.110 ± 0.008 0.056 ± 0.008 90.00 ± 15.31 0.042 67.9
84.792 ± 0.007 0.079 ± 0.007 80.62 ± 7.29 0.001 99.8
KIC3744681

ν0 (μHz) δνs (μHz) i (°) p-value Posterior probability (%)

51.747 ± 0.002 0.093 ± 0.002 70.30 ± 8.08 0.000 71.6
52.286 ± 0.009 0.108 ± 0.010 77.16 ± 6.49 0.018 75.5
57.558 ± 0.010 0.082 ± 0.009 90.00 ± 8.51 0.015 92.6
58.093 ± 0.007 0.082 ± 0.007 90.00 ± 17.37 0.000 96.4
61.856 ± 0.004 0.090 ± 0.004 73.38 ± 9.17 0.000 99.3
62.822 ± 0.007 0.095 ± 0.007 79.48 ± 5.76 0.000 99.7
63.542 ± 0.009 0.088 ± 0.010 74.02 ± 8.09 0.000 97.8
64.215 ± 0.009 0.109 ± 0.009 80.26 ± 8.43 0.001 93.3
67.845 ± 0.009 0.097 ± 0.009 90.00 ± 142.99 0.000 98.8
68.803 ± 0.010 0.074 ± 0.011 80.16 ± 12.18 0.017 70.8
69.560 ± 0.011 0.121 ± 0.011 69.23 ± 7.10 0.020 72.6
73.660 ± 0.008 0.088 ± 0.007 90.00 ± 11.93 0.000 92.3
74.545 ± 0.009 0.100 ± 0.010 67.17 ± 7.29 0.004 58.8
75.537 ± 0.013 0.098 ± 0.011 79.17 ± 12.22 0.036 69.1

Notes. Column 3 gives the estimate of the inclination angle i obtained from each mode. Only modes whose splitting was found significant with a p-value (given in Col. 4) below 0.05 are given. Column 5 gives the posterior probability obtained from a Bayesian analysis that the rotational splitting of the mode is detected (see Sect. 3.2). The modes whose parameters are shown in italics were discarded (see text).

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