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Table 2.

Results of fitting asymptotic mode frequencies (including magnetic effects in a non-perturbative way) to the observed frequencies of the red giants in our sample.

KIC Id ΔΠ1 δω0/2π aasym σB Br20.5 B0
(s) (μHz) ( × 10−3R) kG MG
KIC3326392 79 . 43 0.60 + 0.37 Mathematical equation: $ 79.43^{+0.37}_{-0.60} $ 2 . 76 0.13 + 0.11 Mathematical equation: $ 2.76^{+0.11}_{-0.13} $ 0 . 322 0.008 + 0.025 Mathematical equation: $ 0.322^{+0.025}_{-0.008} $ 1 . 76 0.05 + 0.02 Mathematical equation: $ 1.76^{+0.02}_{-0.05} $ / 2 . 97 0.09 + 0.02 Mathematical equation: $ 2.97^{+0.02}_{-0.09} $ 215 ± 7 5.1
KIC5700274 81 . 02 0.31 + 0.26 Mathematical equation: $ 81.02^{+0.26}_{-0.31} $ 1 . 15 0.11 + 0.10 Mathematical equation: $ 1.15^{+0.10}_{-0.11} $ 0 . 309 0.018 + 0.024 Mathematical equation: $ 0.309^{+0.024}_{-0.018} $ 3 . 06 0.50 + 0.33 Mathematical equation: $ 3.06^{+0.33}_{-0.50} $ 179 ± 11 1.4
KIC7458743 79 . 22 0.15 + 0.12 Mathematical equation: $ 79.22^{+0.12}_{-0.15} $ 0 . 70 0.06 + 0.04 Mathematical equation: $ 0.70^{+0.04}_{-0.06} $ 0 . 290 0.013 + 0.017 Mathematical equation: $ 0.290^{+0.017}_{-0.013} $ 2 . 69 0.74 + 0.74 Mathematical equation: $ 2.69^{+0.74}_{-0.74} $ 111 ± 4 0.8
KIC9227589 87 . 11 0.19 + 0.44 Mathematical equation: $ 87.11^{+0.44}_{-0.19} $ 4 . 84 0.05 + 0.09 Mathematical equation: $ 4.84^{+0.09}_{-0.05} $ 0 . 377 0.011 + 0.006 Mathematical equation: $ 0.377^{+0.006}_{-0.011} $ 3 . 85 0.03 + 0.02 Mathematical equation: $ 3.85^{+0.02}_{-0.03} $ 681 ± 20 5.5
KIC9697268 82 . 76 0.41 + 0.24 Mathematical equation: $ 82.76^{+0.24}_{-0.41} $ 3 . 33 0.11 + 0.09 Mathematical equation: $ 3.33^{+0.09}_{-0.11} $ 0 . 259 0.008 + 0.007 Mathematical equation: $ 0.259^{+0.007}_{-0.008} $ 2 . 52 0.04 + 0.04 Mathematical equation: $ 2.52^{+0.04}_{-0.04} $ 331 ± 36 3.3
KIC10613561 85 . 59 0.22 + 0.27 Mathematical equation: $ 85.59^{+0.27}_{-0.22} $ 1 . 66 0.10 + 0.13 Mathematical equation: $ 1.66^{+0.13}_{-0.10} $ 0 . 157 0.010 + 0.010 Mathematical equation: $ 0.157^{+0.010}_{-0.010} $ 2 . 10 0.23 + 0.25 Mathematical equation: $ 2.10^{+0.25}_{-0.23} $ / 4 . 47 0.38 + 0.20 Mathematical equation: $ 4.47^{+0.20}_{-0.38} $ 377 ± 39 1.4
KIC10976412 80 . 38 0.14 + 0.17 Mathematical equation: $ 80.38^{+0.17}_{-0.14} $ 0 . 54 0.06 + 0.06 Mathematical equation: $ 0.54^{+0.06}_{-0.06} $ 0 . 273 0.026 + 0.027 Mathematical equation: $ 0.273^{+0.027}_{-0.026} $ 3 . 59 0.88 + 1.23 Mathematical equation: $ 3.59^{+1.23}_{-0.88} $ 114 ± 7 0.8
KIC11408970 84 . 43 0.11 + 0.12 Mathematical equation: $ 84.43^{+0.12}_{-0.11} $ 1 . 74 0.04 + 0.05 Mathematical equation: $ 1.74^{+0.05}_{-0.04} $ 0 . 116 0.003 + 0.003 Mathematical equation: $ 0.116^{+0.003}_{-0.003} $ 2 . 39 0.08 + 0.12 Mathematical equation: $ 2.39^{+0.12}_{-0.08} $ / 3 . 24 0.18 + 0.08 Mathematical equation: $ 3.24^{+0.08}_{-0.18} $ 333 ± 26 1.9

Notes. For KIC 3326392, KIC 10613561, and KIC 11408970, the distribution for σB is bimodal and the possible solutions are given. The last two columns give the average magnetic field strengths in the core ⟨Br20.5 measured using a stellar model, and the field strength B0 at the center for the median model (in MG).

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