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 3 3 2 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 7 9 13 15 12 9 7 6 5 5 5 5 6 7 7 7 6 5 6 6 6 4 -1 -4 -3 1 4 5 6 7 8 8 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 7 7 nan
nan 3 2 2 2 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 9 12 11 7 6 6 5 5 5 5 6 6 7 7 7 6 6 6 6 6 4 0 -2 -1 1 3 5 6 7 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 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 nan
nan 3 2 2 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 10 9 7 4 4 4 5 5 5 5 6 6 6 7 7 6 5 6 6 5 3 -1 -3 -1 1 3 5 6 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 nan
nan 3 2 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 10 8 6 5 5 4 5 5 5 6 5 5 5 6 6 6 6 6 6 5 2 -3 -4 -1 3 4 5 6 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 nan
nan 3 2 2 3 3 3 2 2 2 2 2 3 3 3 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 6 5 5 5 5 5 5 5 6 7 7 7 7 7 7 4 0 -4 -3 1 4 5 6 7 8 9 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 7 7 8 8 7 6 5 4 4 4 5 6 8 8 8 7 7 7 6 2 -2 -3 -0 3 5 6 7 7 8 9 10 10 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 4 4 4 3 3 3 2 2 2 2 3 2 2 3 3 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 9 10 11 12 11 9 7 8 9 9 8 7 6 6 6 6 7 8 9 9 7 6 6 6 3 -0 -2 -0 3 5 7 7 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 6 6 6 6 6 7 7 8 8 9 10 10 11 12 12 13 12 9 7 8 10 10 9 8 8 8 9 9 10 9 9 8 6 5 5 4 2 1 1 3 5 7 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 9 10 11 11 12 12 12 12 12 11 8 7 7 9 9 8 8 8 9 10 9 8 7 7 6 5 5 5 5 5 4 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 nan
nan 7 6 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 11 11 12 12 12 11 11 11 10 8 7 6 7 8 7 7 7 8 7 6 5 4 4 4 4 5 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 8 8 8 8 8 8 nan
nan 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 7 6 6 7 7 6 6 6 6 5 4 4 4 4 4 5 6 5 4 4 4 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 nan
nan 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 4 4 5 5 5 6 6 6 7 7 8 8 9 9 9 10 10 10 11 11 10 10 9 8 7 7 7 8 8 8 8 9 9 9 8 7 7 8 8 7 6 6 6 7 6 6 5 6 6 5 6 5 3 2 1 2 3 4 4 5 5 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 nan
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nan 5 6 6 6 5 4 4 4 5 5 5 5 6 6 6 5 5 4 3 3 3 3 4 4 5 5 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 9 9 9 10 11 11 11 10 11 13 13 11 8 7 7 8 8 7 7 7 7 7 8 8 7 6 3 2 1 2 3 3 4 4 4 5 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 5 6 6 7 nan
nan 5 6 7 7 6 5 4 4 5 6 6 6 6 6 6 6 5 4 4 3 3 4 4 5 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 12 13 14 13 13 13 14 15 15 16 18 18 15 11 9 8 8 8 7 7 8 8 8 8 8 7 5 2 0 -0 1 2 3 3 4 4 5 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 6 6 nan
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nan 5 4 3 4 5 6 6 7 7 7 7 8 8 9 8 8 8 9 9 9 8 8 7 7 6 6 6 6 7 8 9 10 11 12 13 14 14 14 12 10 9 10 10 10 10 10 10 10 11 12 14 15 16 15 12 10 9 9 10 10 10 9 8 8 8 7 7 7 8 8 8 6 3 0 0 3 5 7 8 9 10 11 12 12 12 12 12 12 13 13 13 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 16 16 17 17 16 16 16 15 14 13 12 11 11 11 10 9 9 8 8 8 7 7 7 nan
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nan 8 9 9 9 9 8 8 8 9 11 12 12 12 11 11 10 9 9 8 8 7 6 5 5 6 6 6 6 6 7 7 7 8 7 6 6 7 8 9 9 8 8 7 7 7 7 6 5 6 7 8 8 8 8 8 8 7 7 7 9 9 9 8 7 8 9 9 8 6 4 3 3 5 6 6 7 9 11 13 14 15 16 16 16 15 15 14 13 13 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 7 nan
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nan 7 7 7 7 6 6 7 10 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 8 8 8 7 6 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 9 8 8 7 7 7 7 6 6 7 7 8 7 4 -0 -3 -1 3 4 5 5 6 7 6 5 4 5 5 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 7 7 7 7 8 10 11 10 8 8 7 7 7 7 7 8 8 8 9 8 7 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 7 6 6 8 9 9 8 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 7 6 3 1 2 3 4 5 7 8 7 5 4 3 4 4 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 nan
nan 8 8 8 8 7 8 9 11 11 9 9 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 7 7 6 5 6 6 7 8 8 7 7 6 7 8 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 7 8 8 8 8 7 6 5 5 5 6 8 8 8 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 6 5 5 5 4 5 7 10 10 8 5 3 2 2 4 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 nan
nan 8 8 8 8 8 8 9 11 10 9 8 8 8 8 7 7 7 7 8 9 10 10 9 8 8 7 7 8 8 8 8 8 7 6 6 5 5 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 9 8 7 6 6 6 6 6 7 9 11 11 8 4 1 -1 1 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 7 8 8 8 8 8 9 11 10 9 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 9 9 9 7 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 5 5 5 6 7 8 8 9 9 8 7 7 7 7 7 7 7 7 8 9 8 8 7 6 6 7 7 7 8 9 10 10 7 3 -1 -2 1 3 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 8 9 10 11 10 9 9 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 8 8 9 9 9 8 7 7 8 8 7 7 7 7 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 9 10 9 9 8 8 7 7 7 7 7 8 8 9 8 7 6 6 7 7 8 8 8 8 8 8 7 3 -0 -0 2 4 4 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 6 7 7 8 10 11 11 10 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 7 7 8 9 9 9 10 10 10 10 9 9 9 10 10 9 9 8 8 8 7 7 7 6 7 7 8 8 7 6 5 5 6 7 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 8 8 7 6 7 7 8 8 8 8 8 8 7 6 5 3 4 5 4 4 4 5 6 6 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 6 7 7 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 7 9 11 11 11 9 8 7 7 7 7 8 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 8 8 7 6 6 6 8 8 8 7 6 5 5 6 8 9 9 9 9 8 8 7 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 6 7 7 7 5 5 4 5 5 6 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 6 6 7 9 11 11 9 8 7 7 7 7 8 9 10 10 10 9 9 9 9 10 10 10 10 10 11 10 10 8 7 6 6 7 8 9 8 7 5 5 6 7 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 8 7 6 6 7 8 8 8 8 8 8 7 7 7 6 7 8 8 8 7 6 5 5 5 6 7 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 8 7 7 8 9 8 8 8 7 7 7 7 7 7 8 8 8 9 10 10 11 10 10 9 7 6 6 7 9 10 9 8 7 6 7 8 9 9 9 9 9 8 8 8 9 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 7 6 5 5 6 8 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 7 7 7 6 7 8 8 8 8 8 8 7 6 6 6 8 10 11 11 9 8 6 6 6 7 8 8 8 8 8 8 7 7 8 8 8 8 8 nan
nan 8 8 8 8 7 7 7 8 8 8 7 7 7 7 6 7 7 8 8 8 8 8 10 11 11 11 11 10 8 7 6 6 7 9 9 7 7 6 7 7 9 9 8 8 7 7 7 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 8 7 7 7 6 6 7 8 9 9 8 8 8 7 7 6 6 7 7 8 9 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 6 7 8 8 8 8 8 8 7 7 7 8 10 13 14 13 10 6 4 4 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 8 7 7 7 8 7 7 6 6 6 6 6 7 8 8 8 8 8 8 9 10 11 11 12 11 10 8 7 7 7 8 8 7 7 6 7 7 8 8 8 8 7 7 8 9 10 11 11 11 10 10 9 8 9 9 10 10 10 9 7 6 6 6 6 6 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 10 12 14 14 11 6 0 -1 3 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 7 8 8 8 9 10 11 12 11 10 10 9 8 8 8 9 8 7 7 7 7 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 9 10 11 11 11 11 9 6 5 5 5 6 7 10 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 10 11 9 4 -3 -9 -5 2 6 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 9 8 8 8 8 8 8 9 9 8 6 6 6 7 7 8 7 7 8 8 8 8 9 10 10 11 10 10 10 10 9 10 10 9 8 8 7 7 7 8 9 9 9 10 11 11 11 10 9 7 7 8 8 10 11 11 11 11 10 8 6 4 4 5 7 9 10 10 9 8 8 7 7 7 7 8 9 9 9 7 6 6 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 4 -3 -10 -11 -4 3 7 8 8 8 7 7 7 7 7 7 6 6 6 6 7 nan
nan 10 9 8 8 8 8 8 7 8 9 10 9 7 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 9 9 9 10 10 10 9 7 7 8 8 9 9 10 11 10 8 6 4 3 3 5 8 10 10 9 8 8 7 7 7 7 6 7 9 10 10 9 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 8 7 7 7 5 1 -6 -10 -6 2 7 10 9 8 8 8 7 7 7 6 6 6 6 6 6 7 nan
nan 9 9 9 8 8 8 7 7 8 9 10 10 9 7 6 6 6 6 7 7 8 8 8 8 9 8 8 8 9 10 10 10 10 10 10 10 10 9 8 7 7 8 8 8 7 8 9 10 10 9 9 9 9 9 9 9 9 9 7 5 2 1 2 5 10 13 14 12 9 7 6 6 7 7 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 9 8 8 8 8 8 7 7 7 7 6 6 4 -0 -5 -5 2 10 14 13 11 9 8 8 7 7 6 6 6 5 5 6 6 7 nan
nan 9 9 9 9 8 8 7 7 8 9 10 10 9 8 7 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 6 7 9 10 11 11 10 9 8 8 8 8 7 5 3 1 2 5 10 15 17 15 12 8 6 5 6 7 7 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 6 6 5 4 1 0 5 13 19 18 15 12 10 9 8 7 6 5 5 5 5 5 6 6 7 nan
nan 9 9 9 8 8 8 7 7 8 9 10 10 9 8 8 7 6 6 6 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 10 9 8 7 6 7 7 6 6 8 9 10 10 10 9 8 8 7 7 6 5 3 3 6 10 14 16 16 13 10 8 7 7 8 8 8 8 8 8 8 7 8 8 9 8 7 6 7 7 8 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 6 6 5 6 6 7 9 15 20 21 18 14 12 10 8 6 5 4 5 5 5 5 5 6 7 7 nan
nan 9 9 9 9 8 8 8 7 8 8 9 9 9 9 8 7 7 7 7 7 8 8 7 7 7 7 8 9 8 7 7 8 8 8 7 7 9 10 10 10 8 7 7 9 9 7 6 6 7 7 8 9 9 9 8 7 7 6 5 4 6 9 12 13 13 11 9 7 8 8 9 10 9 8 7 7 7 7 7 7 8 8 7 6 6 7 8 8 8 8 9 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 6 5 6 8 10 12 15 16 15 13 12 11 8 5 2 2 3 4 4 4 5 5 6 7 8 nan
nan 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 8 7 7 8 8 8 8 7 7 8 8 8 7 7 9 10 10 10 9 8 9 11 11 10 8 6 4 4 5 7 8 8 7 6 6 6 5 5 7 9 11 11 9 7 6 7 9 10 10 10 9 8 7 7 7 8 8 8 8 7 6 6 6 7 8 8 8 9 9 9 9 9 8 8 9 9 9 8 9 9 9 9 9 9 8 7 6 6 6 8 9 10 10 10 9 9 9 8 5 1 -2 -0 2 3 4 4 5 6 7 7 8 nan
nan 8 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 9 8 7 7 8 9 9 8 8 8 9 9 9 9 9 10 12 13 12 10 7 3 1 3 6 7 7 6 6 6 5 5 6 8 10 10 9 7 6 7 9 11 11 10 10 9 8 7 7 8 8 8 8 7 6 5 5 6 7 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 8 9 9 8 6 5 3 2 1 -2 -6 -6 -2 1 3 4 5 5 6 7 7 8 nan
nan 8 8 8 9 9 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 8 7 8 9 10 9 8 7 7 7 8 9 10 11 12 12 12 11 9 6 4 5 7 8 8 7 6 6 6 6 6 8 9 9 9 8 7 8 9 10 10 9 9 9 8 7 7 8 8 8 8 7 6 5 6 7 7 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 9 8 6 3 -1 -4 -6 -7 -9 -12 -8 -2 2 4 4 5 6 6 7 7 8 nan
nan 8 8 8 9 9 8 8 7 8 8 9 9 8 8 8 8 8 8 8 7 7 6 6 8 9 9 9 9 9 8 8 8 9 9 9 7 6 6 7 8 8 9 10 11 11 11 10 10 9 8 8 9 9 8 7 7 7 7 6 6 6 6 7 8 8 7 7 8 8 8 8 8 7 7 8 8 9 9 8 7 6 6 6 7 7 8 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 5 2 -0 -3 -5 -6 -8 -7 -3 1 3 4 5 5 6 7 7 7 7 nan
nan 8 8 8 8 9 8 8 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 7 8 8 8 8 8 8 8 8 8 7 7 6 5 6 7 8 8 9 9 10 10 10 9 9 10 10 11 10 9 8 7 8 8 9 7 6 5 4 5 6 7 7 7 7 6 6 6 6 6 7 8 9 9 8 7 5 5 6 7 8 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 8 8 7 6 3 1 1 2 3 3 4 5 6 6 7 7 7 7 nan
nan 8 7 7 8 9 8 8 7 7 8 9 9 10 9 7 7 7 7 8 9 9 8 8 7 7 7 8 9 9 9 9 9 8 8 6 5 5 6 6 7 8 8 8 9 9 8 8 8 9 11 11 11 11 10 10 10 10 11 10 8 7 6 6 6 6 7 7 6 5 4 5 5 6 7 8 8 8 7 5 5 6 7 9 10 10 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 10 11 13 14 13 10 6 2 1 2 3 5 5 6 7 7 7 7 7 nan
nan 8 8 7 8 8 9 8 8 7 8 9 9 9 9 8 7 6 7 8 9 9 9 8 8 7 7 8 9 10 10 10 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 8 9 9 10 11 11 11 12 12 12 12 12 12 11 9 8 8 7 7 7 6 5 5 5 6 6 7 7 7 6 6 5 6 8 9 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 10 10 11 12 12 11 7 2 -1 -1 1 3 5 6 6 7 7 7 7 7 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
78 47 31 33 45 35 28 30 29 25 17 10 7 7 12 15 19 23 23 25 29 32 34 34 34 35 36 38 39 42 45 46 45 44 40 37 36 35 36 50 75 92 84 75 72 70 59 47 38 32 26 24 24 28 37 46 57 59 51 45 46 48 44 43 35 23 27 36 38 38 32 23 15 8 0 0 0 0 0 0 3 4 4 14 28 28 23 24 26 36 46 38 31 33 38 45 49 49 48 48 49 55 62 62 63 67 67 64 62 60 59 57 61 64 65 65 62 59 58 59 59 58 57 57 59 61 62 60 59 66 77 87 93 94 86
83 55 40 43 61 51 45 46 42 36 29 21 11 8 13 15 17 25 25 28 31 35 42 50 54 52 53 53 53 56 59 61 59 61 61 61 65 70 80 103 129 149 133 115 103 93 79 66 56 47 35 28 29 34 40 49 57 64 68 75 83 75 66 52 41 34 29 33 41 41 29 17 12 7 2 0 0 0 0 0 2 3 6 17 33 31 24 19 22 31 44 42 36 33 37 44 47 47 48 50 52 56 59 60 61 62 61 59 61 65 68 71 76 77 80 79 74 69 68 67 64 65 66 63 64 65 65 64 62 61 69 85 99 116 113
90 66 55 58 67 58 59 60 55 47 37 25 12 7 12 15 18 29 33 41 50 56 65 76 79 69 66 64 65 70 76 81 86 94 99 97 101 119 138 167 187 195 181 162 144 126 110 97 88 78 68 60 59 53 50 52 58 70 81 95 113 111 92 64 55 48 40 40 37 30 21 12 8 4 2 1 1 0 0 0 0 1 4 14 27 35 36 24 24 28 38 45 45 41 40 43 46 48 49 52 54 56 57 57 56 57 62 64 68 71 80 91 97 98 98 94 84 75 75 74 73 72 71 69 69 69 68 67 67 67 71 79 92 114 127
103 83 69 73 77 72 68 68 66 58 42 23 15 14 21 26 30 32 40 54 62 69 80 92 97 80 71 65 69 78 89 98 104 111 113 113 133 157 174 206 218 210 200 194 184 170 154 140 130 122 112 104 99 92 85 82 76 75 86 92 93 91 75 56 51 49 50 48 33 18 13 8 5 2 2 2 2 1 0 0 0 0 1 8 27 37 48 45 43 39 37 42 51 53 46 47 49 52 54 56 57 57 58 59 59 61 64 68 71 71 75 82 91 95 97 95 87 78 81 80 79 81 81 76 72 72 71 71 71 70 70 72 81 96 110
108 95 94 95 96 92 85 81 77 65 42 24 23 28 30 29 31 33 40 62 84 90 89 95 101 93 81 73 74 87 106 118 115 114 125 139 151 157 167 191 194 180 170 176 190 199 197 190 177 167 154 136 124 123 116 111 97 80 85 82 67 57 48 40 32 37 44 40 29 16 10 9 3 3 1 1 1 0 0 0 0 0 0 2 20 36 57 74 83 80 62 43 49 52 49 50 55 58 59 59 60 60 61 62 62 61 62 65 66 65 65 66 69 76 81 83 79 76 78 78 76 77 80 80 75 72 71 72 74 73 72 71 72 74 76
126 111 112 106 109 110 104 100 95 78 54 42 46 51 50 45 52 54 56 78 104 114 114 111 117 126 122 115 114 120 133 133 120 116 124 132 135 133 138 145 142 131 127 139 166 194 212 227 234 222 203 173 140 126 111 95 83 71 72 64 45 33 22 20 18 28 31 22 19 19 10 15 5 2 1 1 1 0 0 0 0 0 1 3 14 33 77 114 133 132 108 64 50 49 50 48 51 56 59 58 57 58 58 58 60 59 58 59 60 60 62 64 66 67 70 72 70 70 71 71 70 71 74 77 74 71 71 71 73 74 74 72 70 65 59
162 149 140 130 139 144 142 138 128 109 92 90 91 84 82 84 105 97 96 113 129 138 143 151 170 195 193 190 191 178 160 141 128 126 126 128 125 114 122 117 113 113 117 125 142 166 195 231 267 262 237 198 158 129 103 77 62 58 61 52 33 21 14 11 14 16 14 11 15 19 6 9 4 2 1 0 0 0 0 0 0 0 1 6 23 64 123 165 178 176 156 107 77 71 61 52 49 50 55 57 54 53 53 52 54 56 57 58 60 62 64 65 64 61 62 63 61 62 62 61 61 63 66 68 69 67 68 70 71 71 72 73 72 68 61
170 170 179 181 187 195 194 177 148 119 100 98 104 109 110 124 142 153 154 155 168 185 194 200 216 257 264 258 248 223 196 182 179 176 169 161 139 130 135 141 139 136 130 123 124 144 177 214 256 261 241 214 184 150 120 98 83 81 89 93 62 28 12 7 5 4 4 4 6 6 3 3 2 1 0 0 0 0 0 0 0 1 3 11 30 81 150 210 245 248 213 162 125 98 103 95 75 62 68 78 72 72 68 68 76 83 81 75 78 82 81 87 83 65 60 58 55 55 55 55 55 56 59 61 63 59 58 57 59 61 63 70 72 71 66
174 184 211 230 243 244 222 178 132 106 93 87 100 122 137 150 167 182 186 192 206 217 229 241 251 288 293 284 271 253 237 231 237 247 229 205 187 176 171 170 181 191 181 167 171 177 219 248 266 270 274 280 269 234 198 176 165 155 143 155 125 60 19 10 6 2 2 1 3 2 1 1 1 0 0 0 0 1 1 1 1 3 7 18 44 101 185 270 326 333 310 250 217 209 215 207 173 140 148 153 152 158 150 137 137 157 154 132 129 132 131 125 109 86 71 64 61 60 59 57 54 54 57 56 54 51 50 50 51 52 55 61 65 67 66
252 263 285 302 310 279 214 153 119 109 111 100 111 134 151 163 185 212 230 235 239 248 270 272 276 293 301 306 298 289 303 325 298 306 266 228 220 235 237 239 271 308 306 297 302 305 330 345 359 368 380 398 402 377 345 301 282 249 211 200 177 101 41 36 18 4 1 0 1 0 0 2 2 1 1 1 2 2 3 2 3 4 10 26 60 125 221 322 395 415 419 380 359 356 366 372 349 307 313 300 293 290 279 262 258 269 261 229 221 227 220 196 159 129 106 90 84 80 72 68 60 59 59 57 53 50 50 50 49 50 51 53 59 64 66
400 414 420 389 357 286 192 132 116 112 126 119 113 131 158 186 218 254 279 282 272 268 272 258 252 270 296 315 310 296 312 348 305 324 338 355 362 376 389 407 445 482 500 513 511 499 475 455 447 464 489 512 526 508 482 431 387 337 289 255 241 172 83 76 38 15 3 1 0 0 2 3 2 1 1 3 3 3 2 3 4 5 11 31 81 169 283 369 444 479 492 497 503 502 490 479 479 459 467 459 444 436 426 396 358 338 325 317 313 318 312 292 263 225 183 148 130 112 104 103 91 87 79 69 62 57 53 52 51 50 50 51 58 64 65
496 494 501 425 334 241 157 110 100 103 127 132 128 150 185 218 253 288 307 301 280 270 265 238 217 216 226 252 274 275 284 305 309 336 364 391 430 468 495 536 587 619 666 719 745 706 646 607 594 613 633 618 593 557 527 488 446 398 346 311 278 209 137 98 52 33 8 2 0 0 1 1 0 0 1 3 3 4 3 4 4 7 16 44 116 246 366 430 487 518 542 571 594 598 587 575 583 585 589 585 567 547 519 474 425 390 373 384 388 396 392 376 359 343 310 265 238 210 189 176 172 152 124 105 90 78 70 58 50 49 49 49 52 56 57
481 429 416 352 256 177 129 105 99 108 132 131 136 169 205 234 262 285 295 287 264 241 225 221 213 212 216 233 257 274 289 308 345 385 420 453 488 513 540 582 624 663 704 774 823 830 800 777 774 767 717 604 524 495 477 456 434 404 367 340 306 247 193 129 61 69 24 4 1 1 1 1 1 0 2 3 3 3 3 4 7 13 29 69 159 312 422 488 527 549 566 595 633 640 651 659 671 682 684 677 661 639 605 555 512 483 462 477 485 490 490 488 489 487 461 435 403 354 301 260 237 209 180 165 145 134 132 82 70 61 53 48 46 47 50
347 338 304 256 208 163 130 121 121 122 147 145 151 180 210 236 259 275 281 274 257 244 238 249 258 270 288 305 314 328 355 393 433 461 472 484 517 557 585 610 650 690 670 748 778 814 826 802 739 636 511 425 376 361 343 359 366 363 352 335 311 272 195 165 108 54 13 1 1 0 0 0 0 2 2 2 2 2 2 6 14 24 49 120 233 375 474 531 558 573 585 600 635 651 668 685 689 693 696 706 715 716 704 676 648 633 616 617 618 618 619 626 640 655 617 603 570 525 453 385 342 309 268 236 217 233 252 208 158 119 83 59 48 43 46
304 335 309 306 305 240 146 129 134 137 159 162 159 170 193 221 246 264 283 292 282 276 277 291 305 328 364 394 400 413 415 432 454 471 480 507 555 592 601 611 658 732 644 693 704 714 706 656 580 499 421 395 342 328 292 287 297 309 319 312 291 274 174 176 135 53 9 0 0 0 0 0 1 4 2 2 1 1 4 12 26 49 100 196 319 434 502 545 573 595 609 613 621 628 625 618 629 636 647 675 718 765 806 825 799 789 779 771 768 768 766 765 761 780 775 763 721 680 626 567 521 472 400 337 305 316 345 352 325 262 176 105 69 52 49
322 379 399 425 444 376 211 163 151 169 168 147 145 154 173 205 250 292 312 319 316 318 326 338 351 374 414 458 490 500 465 454 459 471 492 524 551 570 600 603 627 650 587 588 581 553 518 495 487 487 446 444 410 365 308 274 257 254 264 245 247 211 154 158 108 49 16 4 0 1 1 0 2 5 6 5 2 4 12 25 46 79 149 260 368 449 501 549 599 633 639 629 618 609 607 610 618 629 642 676 738 808 865 901 911 905 896 890 890 893 897 899 878 877 883 892 859 811 777 752 728 686 593 507 444 405 393 400 408 391 318 213 140 93 68
326 341 340 342 372 389 281 214 181 204 173 132 135 164 189 211 247 291 318 336 348 364 379 393 415 452 502 563 622 626 604 587 569 555 552 559 568 578 624 618 579 539 531 532 519 490 463 450 464 463 430 413 405 371 319 278 235 193 199 171 188 157 131 113 79 54 35 12 3 2 2 2 3 5 5 3 3 10 24 41 63 111 188 297 394 465 525 593 662 693 691 670 656 661 675 694 709 725 740 767 822 886 929 958 980 981 973 974 978 976 956 932 962 983 982 985 974 941 911 898 899 892 807 739 674 581 484 423 413 430 415 348 257 167 117
340 300 229 190 204 260 257 217 210 235 200 163 153 181 228 261 288 324 348 360 374 390 421 474 539 614 689 748 760 720 703 731 761 723 662 657 674 663 676 663 626 602 550 514 490 456 425 399 393 378 354 321 301 284 263 239 201 136 130 117 115 100 82 68 52 43 37 21 13 5 4 3 4 5 6 6 9 20 38 61 85 155 238 329 410 478 554 648 736 762 770 778 795 832 871 895 896 896 906 931 979 1034 1062 1065 1070 1061 1046 1060 1078 1075 1066 1062 1084 1102 1100 1096 1096 1079 1050 1035 1015 998 989 981 932 833 717 615 540 511 490 462 401 313 227
265 254 216 180 159 169 197 183 191 261 306 337 335 313 311 324 330 330 341 383 438 481 565 657 701 703 685 637 592 559 539 550 659 744 720 653 590 614 620 567 530 511 448 409 393 365 354 336 313 283 246 216 200 189 170 154 137 91 84 88 75 63 56 49 43 37 30 25 19 14 11 11 11 9 8 7 13 33 56 91 132 198 268 339 403 463 538 638 732 783 849 929 1020 1106 1155 1133 1070 1053 1081 1157 1258 1285 1282 1249 1178 1126 1109 1153 1167 1171 1182 1202 1219 1226 1218 1202 1195 1206 1213 1177 1148 1163 1152 1101 1072 1078 1037 943 826 726 649 595 542 479 410
182 200 210 204 177 149 178 193 228 301 332 376 416 409 382 381 384 408 447 489 555 629 706 723 635 521 444 388 371 374 363 361 500 673 693 625 577 533 447 388 345 297 275 277 270 256 262 258 228 188 161 138 121 108 97 84 64 44 41 39 38 36 35 34 29 23 19 16 14 17 18 19 18 16 14 15 28 54 81 121 168 211 252 302 361 409 464 544 625 726 858 1016 1190 1329 1355 1248 1139 1129 1155 1230 1351 1354 1308 1271 1135 1027 1030 1110 1128 1132 1157 1229 1287 1297 1316 1308 1298 1290 1278 1278 1301 1276 1235 1238 1297 1302 1241 1183 1077 939 829 752 688 627 592
144 177 221 249 224 153 158 146 136 142 145 207 323 391 363 403 478 559 620 568 558 582 556 462 370 331 330 350 376 422 455 469 548 647 608 507 471 385 324 258 226 204 190 183 174 171 169 143 123 94 64 49 44 38 33 24 16 11 13 16 18 17 16 15 11 10 10 14 14 17 20 23 24 23 22 29 49 76 100 125 152 176 192 215 270 317 343 380 453 561 682 812 955 1092 1140 1017 952 972 932 893 840 802 845 858 777 742 766 831 823 850 917 969 1012 1099 1272 1246 1178 1215 1271 1240 1197 1282 1384 1418 1427 1318 1207 1163 1072 974 910 858 799 728 707
102 156 214 227 170 117 104 69 46 38 36 60 100 122 147 236 303 340 321 340 366 362 324 285 289 310 371 460 561 624 666 685 644 525 409 355 306 281 216 153 116 99 95 96 93 90 87 75 60 37 22 16 14 12 10 7 6 3 6 9 8 7 10 11 3 3 9 16 18 19 21 23 23 22 30 45 66 84 94 102 112 119 119 118 131 159 183 205 255 327 388 435 490 538 575 548 512 511 477 433 398 391 399 400 430 476 516 560 596 659 713 747 811 826 967 1026 1096 1176 1188 1159 1206 1305 1226 1149 1122 1068 997 944 910 892 881 877 857 786 752
86 150 202 190 112 87 62 34 17 12 14 22 34 50 71 88 120 167 198 220 219 213 221 228 260 324 435 531 633 683 667 606 516 382 208 178 155 143 114 70 40 32 33 34 32 29 23 17 12 9 10 11 10 6 3 4 5 4 3 3 2 2 4 8 1 5 13 18 20 22 22 20 17 15 33 49 61 67 70 73 75 73 68 64 65 65 76 90 115 150 177 191 208 221 224 233 209 189 180 178 178 162 133 129 195 280 349 387 426 484 539 584 619 647 798 947 979 910 844 837 859 816 806 884 905 857 779 727 718 735 757 792 817 809 793
105 132 150 136 100 71 41 20 11 8 13 32 57 63 70 78 113 149 159 153 132 120 146 178 238 336 442 509 569 601 555 433 303 163 35 30 52 60 42 18 7 9 8 7 7 6 5 5 6 7 7 8 8 2 1 1 2 1 1 0 0 0 1 4 2 7 14 19 20 22 24 22 17 14 30 43 47 46 45 46 47 45 44 46 51 54 55 58 68 86 104 110 115 125 138 141 133 120 112 108 112 129 130 111 125 163 219 256 252 248 295 367 484 654 778 832 769 649 579 538 452 404 607 797 825 726 595 517 532 575 603 642 700 761 804
83 79 66 47 35 27 17 8 10 13 16 31 62 80 86 94 99 100 74 50 50 73 120 182 261 371 465 527 566 553 452 287 125 20 6 13 15 8 3 2 3 5 3 1 1 1 2 3 4 3 2 1 2 1 0 0 0 0 0 0 0 0 0 2 3 5 12 17 19 21 24 21 14 19 36 37 34 31 30 31 32 29 29 33 40 42 44 47 54 63 69 73 80 90 96 99 99 96 89 82 88 100 120 137 154 169 202 230 207 169 165 187 248 366 523 662 705 640 519 376 292 372 499 590 596 529 454 410 466 497 507 524 563 630 717
38 22 11 3 1 4 8 8 12 12 8 9 21 31 48 58 44 29 16 10 17 48 113 202 315 425 499 513 477 388 254 124 34 7 8 5 3 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 6 10 12 12 12 11 8 20 25 24 25 27 28 32 33 31 31 33 37 40 43 47 49 53 50 52 55 57 60 62 65 64 61 62 67 74 90 117 146 173 200 216 200 176 160 145 146 177 304 511 658 700 593 410 304 272 303 361 410 435 449 476 506 510 498 488 495 525 590
10 0 1 1 1 6 10 17 21 15 5 1 3 3 2 5 6 4 1 2 10 45 127 235 350 424 457 414 306 179 77 23 6 6 5 1 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 0 0 0 1 2 3 2 2 1 1 5 11 17 23 28 33 38 49 48 46 48 52 58 66 71 67 77 70 63 57 54 54 58 58 53 53 55 57 65 80 94 104 115 137 162 168 175 171 158 148 163 223 333 453 526 508 447 382 329 302 318 393 490 566 603 603 598 574 538 521 507 501
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