Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 11 12 12 12 12 11 10 9 8 8 7 6 5 6 7 7 8 9 11 12 10 6 4 5 6 7 8 9 10 9 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 9 9 9 9 8 8 7 6 6 6 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 7 7 7 8 8 8 7 7 8 9 9 8 8 7 8 8 8 8 7 7 7 8 9 9 9 9 10 12 13 12 11 10 nan
nan 11 11 11 11 12 13 14 13 12 10 9 8 8 7 5 5 6 7 7 8 10 11 10 7 5 5 6 7 8 9 9 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 8 8 8 7 6 6 8 8 9 8 8 8 9 10 12 12 11 10 nan
nan 12 12 11 11 12 13 14 15 13 12 11 10 9 8 6 5 6 7 7 8 8 9 9 8 6 6 6 7 8 8 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 9 8 8 7 7 7 7 9 9 9 10 10 10 11 11 11 11 10 10 10 10 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 10 10 10 11 nan
nan 11 11 11 11 12 13 14 14 14 13 13 12 11 9 7 6 7 8 8 8 8 8 8 8 6 6 6 8 8 8 9 9 9 8 8 8 8 8 7 8 9 8 8 8 8 8 7 8 8 8 8 9 8 8 8 8 8 9 9 10 9 9 9 8 8 9 9 8 7 7 8 8 9 8 8 7 7 7 8 8 9 10 10 10 11 11 11 11 10 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 9 10 nan
nan 7 7 8 9 11 12 13 14 14 13 13 13 12 11 9 8 8 8 8 8 8 8 8 8 7 6 6 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 10 10 10 10 9 9 8 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 9 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 9 nan
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nan 3 4 4 5 7 8 10 11 13 13 13 13 13 12 10 10 10 10 9 9 8 7 6 6 6 6 6 6 6 7 8 8 9 9 9 9 10 11 11 12 12 11 9 8 9 9 10 10 11 11 11 11 11 11 10 10 10 11 11 12 13 13 13 13 12 12 12 12 12 11 12 12 12 12 12 11 10 10 10 10 10 9 9 10 9 9 7 6 7 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 11 12 11 10 9 7 6 5 6 7 7 7 7 7 7 8 8 8 8 8 9 10 9 9 9 9 9 9 10 nan
nan 4 4 4 4 5 6 7 9 11 12 12 12 12 12 11 10 10 10 10 9 8 7 6 6 6 6 7 7 7 7 8 8 10 10 10 10 10 11 11 12 12 12 11 9 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 14 15 14 13 13 13 13 13 13 13 14 14 13 12 11 10 10 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 8 9 10 11 12 11 9 8 7 6 7 7 7 7 7 7 8 8 8 8 9 9 10 9 9 9 9 9 10 10 nan
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nan 6 6 6 6 5 4 4 3 4 6 8 9 10 10 11 12 13 12 11 10 9 9 8 7 7 7 8 8 8 8 7 6 6 7 8 8 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 10 10 10 9 9 8 9 10 12 11 9 9 10 11 11 10 10 10 10 10 11 10 10 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 9 10 10 10 9 9 8 8 7 6 5 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 nan
nan 8 8 7 7 7 6 5 4 5 6 8 9 9 9 10 12 14 13 12 11 10 8 7 6 6 6 7 7 7 7 8 7 6 7 8 9 9 8 8 9 9 8 8 9 10 11 11 11 11 11 11 10 10 9 8 8 7 8 9 10 12 12 11 9 8 9 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 8 9 10 10 10 10 10 10 9 8 7 6 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 nan
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nan 12 11 9 8 7 7 7 7 6 7 8 9 8 8 9 10 12 12 12 11 11 10 8 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 7 7 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 10 10 9 8 7 7 7 7 8 8 9 10 11 11 10 9 9 8 7 7 7 7 8 9 10 10 10 9 9 9 9 8 8 7 7 8 8 8 9 10 11 11 12 11 10 9 9 9 9 9 9 10 11 11 10 9 9 9 9 8 7 6 6 6 6 6 6 7 8 8 7 7 7 nan
nan 13 12 10 8 7 7 7 8 8 8 9 9 9 9 9 10 11 11 11 10 10 9 9 8 7 5 4 4 3 3 2 2 3 3 3 3 4 4 5 6 7 7 6 6 7 7 8 8 8 7 7 7 7 7 7 8 10 9 8 8 9 10 9 8 7 7 7 7 8 9 9 10 11 11 10 9 8 7 6 6 7 8 9 9 10 11 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 8 8 9 10 10 10 9 8 9 10 10 9 7 6 6 6 6 7 7 7 8 8 8 8 8 nan
nan 13 13 11 9 7 7 8 9 9 9 10 10 10 10 10 11 11 11 10 9 8 8 8 8 7 6 4 4 4 3 2 2 2 3 3 3 3 4 5 6 6 6 6 6 6 6 7 7 6 7 7 7 7 6 6 7 9 10 9 8 8 9 8 7 7 7 7 7 8 9 10 11 11 11 10 9 8 7 7 7 8 8 8 9 10 11 11 11 10 10 10 10 9 8 8 8 8 9 9 8 7 7 7 8 8 7 7 6 7 8 9 9 9 10 9 9 9 9 10 9 8 6 6 6 7 7 8 8 8 8 7 7 7 nan
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nan 11 11 12 12 12 13 13 13 14 14 14 13 13 13 12 12 12 12 13 14 15 15 16 16 16 18 19 20 21 20 20 16 11 7 6 6 7 9 11 12 14 16 16 17 15 14 13 12 11 10 9 9 8 8 8 7 7 6 6 7 8 8 7 6 5 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 11 11 10 11 11 12 11 10 10 10 10 10 8 7 7 7 7 7 7 8 9 9 nan
nan 11 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 11 12 13 14 14 14 14 14 15 16 17 18 19 16 15 14 14 14 15 16 16 17 18 17 16 15 13 11 10 9 9 8 8 8 7 7 7 7 7 6 5 5 5 6 6 6 5 4 4 5 6 7 8 9 9 10 10 10 9 9 10 10 10 10 10 9 9 9 9 10 10 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 11 11 11 11 10 10 10 10 10 9 8 8 8 7 6 6 6 7 7 nan
nan 12 12 13 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 12 13 14 14 14 13 12 12 12 12 13 15 15 16 17 18 19 19 18 18 18 17 16 14 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 10 10 10 10 9 9 9 9 8 9 9 10 10 10 10 10 10 10 11 12 12 11 11 10 11 11 10 10 10 10 10 9 9 9 9 9 8 7 6 6 7 7 nan
nan 11 12 12 12 12 12 12 11 11 10 10 11 11 10 10 10 10 11 12 13 13 14 14 14 14 14 12 11 10 11 12 13 15 17 18 18 17 15 14 13 13 12 11 10 9 8 7 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 9 9 8 8 7 8 8 8 nan
nan 11 12 12 12 12 12 12 11 11 10 9 10 10 10 10 10 10 11 12 12 13 13 13 13 13 14 13 12 11 11 12 13 13 14 14 14 12 11 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 9 10 10 10 9 9 10 10 11 12 12 11 10 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 nan
nan 11 11 11 12 12 13 13 12 11 10 10 9 10 9 9 10 10 10 11 12 12 12 13 13 12 11 11 11 11 12 12 13 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 9 8 7 7 8 8 8 8 8 8 9 9 9 9 8 7 6 7 7 9 9 9 9 8 8 9 9 10 10 10 11 11 12 12 12 11 10 9 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 8 9 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 10 nan
nan 12 12 11 12 12 12 12 12 12 11 10 10 9 9 9 9 10 10 10 11 12 13 14 14 12 11 10 10 10 10 11 12 12 11 11 10 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 8 7 6 7 8 10 10 10 9 8 8 9 9 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 7 9 10 10 10 10 9 9 9 10 11 12 11 10 9 9 9 9 9 9 10 10 10 10 nan
nan 11 12 12 12 12 12 12 12 11 11 11 10 9 8 9 9 9 10 10 11 12 13 14 13 12 12 11 11 11 11 11 12 11 11 10 10 9 8 6 6 7 8 10 10 9 9 9 8 8 8 8 7 6 5 5 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 8 10 11 11 10 9 9 9 9 9 9 8 8 9 9 10 10 11 10 9 9 8 8 8 8 8 8 9 9 10 11 11 11 9 8 8 9 9 9 10 10 9 8 8 8 10 11 11 10 9 9 9 9 9 9 9 9 9 9 nan
nan 11 11 12 12 12 12 11 11 11 11 11 10 9 8 8 9 9 9 11 12 12 13 13 12 11 11 11 11 12 12 11 11 11 11 10 10 10 8 7 5 6 8 9 10 9 8 7 6 6 6 6 5 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 7 6 6 8 10 11 10 9 8 8 9 9 10 9 8 6 6 7 8 9 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 9 9 8 9 10 10 10 9 8 7 8 9 10 9 9 8 8 8 8 8 8 8 8 8 nan
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nan 9 9 9 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 11 12 12 12 12 12 12 11 11 10 10 10 10 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 nan
nan 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 nan
nan 7 8 8 9 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 7 8 8 8 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 12 11 11 10 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 8 9 10 10 10 9 9 9 10 11 12 13 12 12 nan
nan 9 8 9 10 11 11 12 12 12 12 11 10 9 9 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 7 7 8 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 12 11 10 10 10 10 9 9 10 12 13 13 13 12 11 11 11 11 10 9 10 11 11 10 9 9 9 10 11 12 13 12 11 nan
nan 11 11 11 11 11 11 12 12 12 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 9 10 9 9 8 7 7 7 7 7 7 8 10 10 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 14 14 13 12 11 11 11 10 8 8 10 12 13 13 13 12 12 12 12 12 12 12 12 13 13 12 10 10 10 11 12 13 13 12 11 nan
nan 13 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 11 11 11 11 9 7 6 8 10 12 12 12 11 12 11 12 12 13 13 13 14 13 12 10 10 10 11 12 12 12 11 10 nan
nan 11 11 10 10 10 10 9 9 8 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 10 10 9 8 8 8 8 8 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 12 13 12 11 10 10 11 11 9 7 6 7 9 11 11 11 11 11 10 10 11 12 12 12 12 12 11 10 10 10 11 11 11 11 10 9 nan
nan 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 8 8 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 7 6 5 5 5 5 6 6 7 8 9 9 9 9 9 9 8 8 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 11 11 11 9 8 9 10 10 9 7 7 8 9 10 11 11 11 10 10 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 nan
nan 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 7 6 5 5 5 6 6 7 7 8 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 10 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 8 7 7 8 9 9 8 8 7 8 9 9 10 10 nan
nan 8 8 8 8 8 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 10 9 8 8 8 8 8 9 9 10 10 10 10 9 8 8 7 8 9 10 9 8 7 7 8 9 10 10 10 nan
nan 7 7 7 8 8 8 7 7 8 8 8 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 8 9 9 9 9 8 8 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 9 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 10 9 8 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 9 9 10 10 8 8 7 7 8 8 8 9 10 10 10 9 8 8 8 10 10 10 9 8 7 8 9 10 10 10 9 nan
nan 6 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 5 6 6 6 6 7 7 7 8 8 8 9 9 8 8 7 7 6 6 7 8 8 8 8 9 9 8 8 8 8 8 8 7 7 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 9 9 9 8 7 7 7 8 8 8 9 9 10 10 9 9 9 9 10 10 10 9 8 8 8 9 9 10 9 8 nan
nan 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 6 6 7 7 8 9 9 9 9 10 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 12 13 13 12 12 11 9 9 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 nan
nan 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 7 7 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 10 11 12 12 13 13 13 12 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 8 9 9 9 8 9 10 nan
nan 9 8 8 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 12 13 12 12 11 10 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 nan
nan 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 10 9 8 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 nan
nan 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 12 12 13 14 13 13 12 10 8 7 6 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 nan
nan 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 14 14 15 14 13 12 10 9 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 8 8 8 8 8 9 9 10 9 10 11 12 nan
nan 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 13 13 13 14 14 15 15 15 14 12 11 10 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 11 11 12 12 nan
nan 11 11 11 12 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 12 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 15 15 13 12 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 9 10 9 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 11 12 13 13 12 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 14 14 14 13 12 10 9 9 8 7 8 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 6 6 6 6 7 6 6 6 6 7 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 10 11 10 10 10 10 10 11 11 11 10 10 10 9 9 10 11 13 13 13 12 nan
nan 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 13 13 13 12 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 10 11 12 12 11 10 nan
nan 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 10 10 9 10 11 11 10 9 8 nan
nan 10 10 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 11 11 12 12 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 8 8 9 10 10 11 10 10 9 8 8 7 7 8 8 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 8 7 7 9 9 10 10 11 11 12 12 12 11 11 10 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 9 10 11 12 11 10 8 7 8 9 10 10 10 10 10 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 9 8 8 8 8 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 10 9 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 12 12 11 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 8 9 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 7 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
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24 14 9 5 3 3 3 4 14 78 398 942 1558 2071 2396 2550 2581 2513 2410 2325 2280 2280 2316 2372 2432 2463 2451 2424 2390 2342 2281 2221 2127 2100 2099 2099 2097 2067 1961 1764 1602 1533 1510 1476 1385 1287 1256 1251 1280 1393 1537 1614 1608 1544 1450 1354 1267 1159 1033 919 860 921 1151 1493 1551 1527 1495 1480 1477 1485 1519 1590 1756 1971 2129 2188 2167 2121 2092 2091 2069 2002 1911 1845 1831 1856 1836 1766 1785 1785 1714 1512 1195 897 736 755 883 983 1042 1194 1507 1762 1853 1854 1795 1645 1423 1187 1046 1197 1359 1250 915 517 210 49 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 26 15 9 6 4 2 0 1 10 98 452 1061 1763 2318 2585 2671 2622 2533 2441 2377 2347 2348 2377 2430 2458 2443 2427 2399 2343 2263 2189 2112 2071 2057 1969 1755 1471 1185 883 681 609 560 474 387 342 344 371 403 461 559 640 662 615 523 411 287 227 198 179 182 247 419 645 701 691 673 674 714 807 934 1121 1371 1655 1841 1882 1822 1762 1778 1873 1875 1793 1625 1446 1404 1586 1666 1521 1553 1499 1323 1056 756 554 506 543 585 604 671 878 1216 1498 1652 1781 1820 1663 1330 925 582 855 1088 951 599 279 100 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
55 39 30 22 15 8 3 0 0 0 23 168 565 1315 2089 2507 2704 2724 2647 2546 2460 2404 2381 2388 2419 2436 2435 2422 2382 2311 2237 2204 2130 2025 1854 1548 1151 735 389 206 140 128 113 83 58 49 49 57 73 94 106 120 124 109 81 54 24 10 6 6 12 37 82 129 148 147 145 157 181 231 398 757 1086 1371 1521 1473 1279 1102 1061 1277 1407 1375 1273 1213 1247 1351 1315 1103 1090 1013 858 693 528 408 380 379 371 360 397 526 724 944 1203 1497 1739 1745 1433 858 241 324 480 456 300 140 44 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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33 39 33 25 20 19 20 20 19 17 9 17 85 406 990 1686 2297 2711 2815 2764 2668 2595 2574 2596 2608 2598 2588 2545 2476 2392 2287 2125 1872 1493 963 524 246 109 58 41 32 28 25 19 15 12 8 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 2 7 21 48 88 133 143 115 108 136 186 249 345 459 550 597 624 635 631 531 361 193 94 71 41 50 79 137 187 203 192 187 235 279 263 285 329 321 223 72 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12 18 18 15 15 18 22 25 25 25 19 31 83 320 763 1338 1958 2588 2802 2799 2728 2671 2653 2661 2664 2664 2652 2617 2560 2477 2372 2228 1917 1452 943 532 266 129 70 40 27 21 20 17 12 9 7 3 1 0 0 0 0 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 1 4 13 27 48 66 74 75 78 95 122 153 183 221 272 274 262 279 280 225 132 59 46 30 35 52 86 126 152 146 114 180 262 327 346 294 167 27 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 7 11 14 18 23 31 37 39 35 26 33 75 247 616 1190 1893 2530 2779 2819 2788 2755 2740 2736 2732 2722 2699 2665 2621 2558 2466 2322 1996 1485 958 545 283 150 90 45 22 15 14 13 10 8 7 4 1 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 5 13 29 45 50 46 47 53 57 60 60 62 73 75 77 86 103 100 68 31 21 14 21 31 40 46 41 13 11 53 93 146 193 186 101 8 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 3 7 14 19 24 32 42 48 44 35 38 72 192 497 1045 1782 2463 2750 2836 2838 2818 2800 2786 2775 2765 2742 2711 2676 2632 2560 2416 2095 1550 980 541 278 148 83 45 21 14 13 13 12 9 7 4 1 0 0 0 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 2 7 13 18 21 27 29 31 29 31 34 34 35 31 23 19 25 28 21 10 5 3 4 5 6 5 5 0 0 0 6 11 8 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0
0 1 4 13 20 19 19 23 30 34 36 55 112 244 546 1062 1727 2386 2727 2852 2875 2860 2837 2820 2811 2805 2787 2756 2726 2694 2637 2505 2207 1662 1027 506 212 101 47 33 19 15 15 15 13 9 7 4 2 1 1 1 1 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 1 2 3 5 8 11 11 13 13 12 11 11 12 9 5 2 3 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 7 4 1
0 1 4 10 16 11 5 4 6 11 21 63 165 388 763 1267 1830 2381 2722 2867 2908 2899 2874 2853 2846 2840 2820 2789 2757 2719 2656 2529 2252 1676 974 439 168 79 33 19 15 15 16 15 12 11 9 4 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 3 3 2 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 2 6 10 13 11 5 1
0 1 3 8 10 6 2 0 0 1 7 43 145 383 783 1310 1882 2393 2730 2894 2945 2938 2911 2887 2871 2861 2839 2811 2781 2742 2673 2521 2173 1441 751 326 135 62 27 11 12 13 13 11 8 7 7 3 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 3 6 9 10 8 3 1
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