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