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Table D.2

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

νU νM νL T11 sets a

νθ 12:8:3 0.999795
νθ 6:3:2 0.993348
νθ 4:2:1 0.988797
νθ 12:4:3 0.972240

νU νM νL T12 sets a

6:3:2 0.997911
4:2:1 0.993823
12:4:3 0.585950

νU νM νL T13 sets a


νU νM νL T14 sets a

6:3:2 0.926845
6:3:2 0.657961
3:1 0.957989
12:8:3 0.303179
4:2:1 0.723465
12:4:3 0.959714

νU νM νL T15 sets a

νθ 12:9:4 0.906232*
νθ 6:4:3 0.948037*
νθ 4:3:2 0.882162*
ν θ 6:4:3 0.780930*
ν θ 12:9:4 0.475318*
ν θ 4:3:1 0.997314
ν θ 12:8:3 0.998678

ν U ν M ν L T22 sets a


ν U ν M ν L T23 sets a

ν K 12:9:4 0.907924*
ν K 3:2:1 0.983043*
ν K 4:3:1 0.865670*
ν K 12:8:3 0.942454*

ν U ν M ν L T24 sets a

ν K 12:8:3 0.883497*
ν K 6:3:2 0.912558*
ν K 6:3:2 0.771066*
ν K 3:1 0.983043*
ν K 12:8:3 0.481612*
ν K 4:2:1 0.865670*
ν K 12:4:3 0.986299*

ν U ν M ν L T25 sets a

4:3:2 0.913464
6:4:3 0.805342

12:9:4 0.337980

ν U ν M ν L T33 sets a


ν U ν M ν L T34 sets a

ν K 12:9:8 0.821125*
ν K 4:3:2 0.865670*
ν K 12:9:4 0.967289*
ν K 6:4:3 0.915030*
ν K 3:2:1 0.983043*
ν K 6:3:2 0.986666*
ν K 12:4:3 0.996798*

ν U ν M ν L T35 sets a


ν U ν M ν L T44 sets a


ν U ν M ν L T45 sets a

12:9:8 0.219609
4:3:2 0.605596
6:4:3 0.505260
12:9:4 0.912811
3:2:1 0.885010
6:3:2 0.742897
4:2:1 0.996164
12:4:3 0.728900

ν U ν M ν L T55 sets a

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