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Table A.3.

Unscaled and scaled frequency changes for different choices of where to match the simulation and analytical eigenfunctions. In all cases zfit, max is 1 Mm above zfit, min.

n zfit, min νsim νextend δνextend δν
(Mm) (μHz) (μHz) (μHz) (μHz)
0 −6.0 1547.54 1546.90 0.64 0.11
0 −5.5 1547.54 1546.92 0.62 0.11
0 −5.0 1547.54 1546.65 0.89 0.16
0 −4.5 1547.54 1546.38 1.16 0.21
0 −4.0 1547.54 1546.04 1.50 0.27
0 −3.5 1547.54 1545.14 2.40 0.44
0 −3.0 1547.54 1547.43 0.11 0.02
0 −2.5 1547.54 1547.04 0.50 0.09
0 −2.0 1547.54 1546.85 0.69 0.12
0 −1.5 1547.54 1546.73 0.81 0.15
0 −1.0 1547.54 1547.44 0.10 0.02

1 −6.0 2407.75 2399.86 7.90 1.99
1 −5.5 2407.75 2399.83 7.93 2.00
1 −5.0 2407.75 2399.89 7.86 1.99
1 −4.5 2407.75 2399.90 7.86 1.98
1 −4.0 2407.75 2399.92 7.83 1.98
1 −3.5 2407.75 2399.92 7.83 1.98
1 −3.0 2407.75 2399.99 7.76 1.96
1 −2.5 2407.75 2400.58 7.18 1.81
1 −2.0 2407.75 2400.81 6.95 1.75
1 −1.5 2407.75 2397.95 9.81 2.49
1 −1.0 2407.75 2400.39 7.37 1.86

2 −6.0 3226.47 3218.86 7.61 1.65
2 −5.5 3226.47 3218.79 7.68 1.66
2 −5.0 3226.47 3218.71 7.75 1.68
2 −4.5 3226.47 3218.67 7.80 1.69
2 −4.0 3226.47 3218.77 7.69 1.67
2 −3.5 3226.47 3219.08 7.39 1.60
2 −3.0 3226.47 3219.43 7.04 1.52
2 −2.5 3226.47 3219.26 7.20 1.56
2 −2.0 3226.47 3218.10 8.36 1.81
2 −1.5 3226.47 3217.91 8.56 1.85
2 −1.0 3226.47 3222.12 4.35 0.94

Notes. Other parameters were kept at their standard values for case 12. We note that the fits for the shallowest two cases extend across or are close to zextend = −5.5 Mm.

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