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Table D.3

Bottom identity – characteristic triple frequency ratio sets and related values of the black hole spin.

ν U ν M ν L B11 sets a

ν r 9:4:3 0.999171
ν r 6:3:2 0.418229
ν r 12:4:3 0.891596

ν U ν M ν L B12 sets a

ν r 8:3:2 0.940033
ν r 3:2:1 0.983043*
ν r 6:3:2 0.998451
ν r 4:3:1 0.865670*
ν r 12:4:3 0.997358

ν U ν M ν L B13 sets a


ν U ν M ν L B14 sets a

9:4:3 0.897551
6:3:2 0.972843
3:2:1 0.983043*
3:1 0.957989
4:3:1 0.896685

ν U ν M ν L B15 sets a

6:4:3 0.982619
4:3:2 0.590679

3:2:1

ν U ν M ν L B22 sets a

ν r 3:2:1 0.913806
ν r 8:3:2 0.696084
ν r 4:2:1 0.996445

ν U ν M ν L B23 sets a


ν U ν M ν L B24 sets a

9:4:3 0.775077
6:3:2 0.926760
3:2:1 0.980124
3:1 0.983043*
4:3:1 0.976789

ν U ν M ν L B25 sets a

4:3:2 0.885695
6:3:2 0.997713
3:2:1 0.475159
4:2:1 0.759538

ν U ν M ν L B33 sets a


ν U ν M ν L B34 sets a

9:8:6 0.855369

6:4:3 0.937852
9:4:3 0.990714
4:3:2 0.959385

ν U ν M ν L B35 sets a


ν U ν M ν L B44 sets a


ν U ν M ν L B45 sets a

9:8:6 0.444214
6:4:3 0.848374
4:3:2 0.753126
9:4:3 0.986484
6:3:2 0.984319
3:2:1 0.922985
12:4:3 0.997450
4:3:1 0.927315

ν U ν M ν L B55 sets a

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