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Table D.4

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

ν U ν M ν L M11 sets a
6:4:3 0.786859
ν U ν M ν L M12 sets a
12:4:3 0.353929
16:4:3 0.907931
ν U ν M ν L M13 sets a
ν θ 8:6:3 0.935213*
ν θ 3:2:1 0.983043*
ν θ 4:3:1 0.865670*
ν θ 9:6:2
ν θ 6:3:1 0.986666*
ν θ 16:12:3
ν θ 6:4:1
ν θ 8:4:1 0.978338*
ν θ 12:4:1 0.996798*
ν θ 16:4:1 0.999436*
ν U ν M ν L M14 sets a
12:4:3 0.967080
6:3:2 0.679246
9:3:2 0.986477
12:3:2 0.996851
3:2:1 0.544870
4:2:1 0.939903
4:3:1 0.655792
9:6:2 0.838000
16:12:3 0.749908
6:4:1 0.871285
ν U ν M ν L M15 sets a
8:4:3 0.529797
4:3:2 0.988237
9:6:4 0.838418
8:6:3 0.282928
16:12:3 0.999879
ν U ν M ν L M21 sets a
16:12:9 0.937003
6:4:3 0.279224
12:4:3 0.248602
6:3:2 0.926504
ν U ν M ν L M22 sets a
6:4:3 0.549318
6:3:2 0.981859
12:4:3 0.165341
9:3:2 0.948045
16:4:3 0.666295
12:3:2 0.993213
ν U ν M ν L M23 sets a
8:6:3 0.952671
ν U ν M ν L M24 sets a
12:4:3 0.907926
6:3:2 0.561945
9:3:2 0.980201
3:2:1 0.535413
4:2:1 0.928219
ν U ν M ν L M25 sets a
8:6:3 0.286597
ν U ν M ν L M31 sets a
– – – – –
ν U ν M ν L M32 sets a
– – – – –
ν U ν M ν L M33 sets a
– – – – –
ν U ν M ν L M34 sets a
– – – – –
ν U ν M ν L M35 sets a
– – – – –
ν U ν M ν L M41 sets a
8:4:1 0.804129
ν U ν M ν L M42 sets a
8:4:1 0.761539
ν U ν M ν L M43 sets a
4:3:1 0.930913
9:6:2 0.952228
ν U ν M ν L M44 sets a
8:6:3 0.662659
12:4:1 0.985873
ν U ν M ν L M45 sets a
8:6:3 0.137701
4:3:1 0.795501
9:6:2 0.621812
6:4:1 0.956880
8:4:1 0.373293
ν U ν M ν L M51 sets a
9:6:2 0.885275
6:3:1 0.692253
16:12:3 0.778856
6:4:1 0.184900
12:4:1 0.153782
16:4:1
ν U ν M ν L M52 sets a
6:3:1 0.709136
9:3:1 0.793520
12:3:1 0.907095
6:4:1 0.273678
12:4:1 0.117032
16:4:1 0.553757
ν U ν M ν L M53 sets a
ν θ 16:12:9 0.985324*
ν U ν M ν L M54 sets a
16:12:9 0.590528
6:4:3 0.746592
8:4:3 0.924992
12:4:3 0.991126
4:3:2 0.465645
9:6:4 0.673939
6:3:2 0.905012
9:3:2 0.987798
3:2:1 0.336030
4:2:1 0.817798
6:2:1 0.986208
6:3:1 0.451536
9:3:1 0.959038
12:4:1 0.862765
ν U ν M ν L M55 sets a
– – – – –

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