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 2 3 4 4 5 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 8 9 10 12 13 11 7 5 4 4 4 4 4 5 6 6 7 6 6 6 7 7 5 1 -2 -2 -0 2 3 5 7 8 9 9 9 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 1 1 6 15 24 28 nan
nan 3 3 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 6 6 7 7 9 10 12 13 14 12 9 7 6 5 5 4 4 5 6 6 7 7 7 6 6 7 6 4 1 -1 -0 1 2 3 4 5 7 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 3 1 2 7 14 17 nan
nan 4 4 5 5 5 4 3 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 9 12 15 17 16 12 8 6 6 6 5 4 4 5 7 7 7 7 6 5 6 6 5 3 -0 -2 -0 2 3 3 3 5 6 8 9 10 9 9 9 8 7 7 7 7 6 6 6 6 6 6 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 3 3 4 7 8 nan
nan 4 4 4 4 4 3 2 2 3 4 4 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 9 12 15 17 16 12 9 7 7 6 5 4 5 7 7 7 7 7 6 5 6 6 5 1 -2 -3 0 4 4 4 4 4 6 7 9 9 10 10 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 nan
nan 4 4 4 3 3 2 2 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 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 8 10 12 13 13 12 10 8 8 7 6 5 5 7 8 8 7 7 6 5 5 5 6 3 -1 -4 -2 2 4 5 4 4 4 6 7 9 10 10 10 9 9 9 9 8 8 8 8 8 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 5 5 5 5 nan
nan 3 3 3 2 2 2 2 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 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 5 6 6 7 8 10 11 11 9 9 8 8 7 6 6 6 7 8 8 8 8 7 6 4 4 5 4 1 -2 -3 0 3 5 5 4 4 5 6 8 9 10 10 10 9 9 9 9 8 8 8 8 8 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 5 5 5 5 nan
nan 3 3 3 2 2 2 3 3 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 4 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 5 5 6 6 6 7 8 9 10 8 7 8 8 8 7 7 7 7 7 8 8 8 8 7 5 4 4 5 4 0 -2 -1 2 4 5 5 4 4 5 6 8 9 10 10 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 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 8 9 8 7 7 8 9 8 7 7 7 7 8 7 7 7 7 6 5 5 7 8 5 2 1 2 3 4 5 5 5 5 5 7 8 9 10 10 9 9 8 8 8 8 8 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 5 5 5 5 nan
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nan 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 11 10 8 7 7 8 8 7 5 6 7 7 6 5 5 6 6 6 6 7 8 9 8 7 5 4 4 4 5 5 6 6 7 7 8 8 9 9 9 9 8 7 7 6 7 7 7 7 7 7 7 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 nan
nan 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 12 11 11 9 8 8 9 10 9 7 6 6 6 6 5 5 6 6 6 6 6 6 5 5 5 4 4 3 4 5 6 6 6 6 6 7 7 7 8 8 9 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 11 10 9 8 9 11 12 11 8 7 7 6 6 6 6 7 8 8 7 6 5 3 1 1 2 3 3 4 5 6 6 6 6 6 6 6 7 7 8 8 9 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 8 8 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 13 13 10 8 9 9 8 7 7 7 8 9 8 7 6 6 4 3 2 2 3 4 5 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 7 7 8 8 7 7 7 7 7 6 nan
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nan 6 5 5 6 6 7 7 7 7 6 5 6 6 7 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 10 11 12 13 14 13 13 12 12 11 10 10 10 11 11 12 12 13 14 15 15 14 12 10 8 8 9 8 6 5 5 6 6 7 7 7 7 7 6 4 3 3 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 nan
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nan 8 8 8 7 7 7 8 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 6 6 7 8 8 8 7 7 7 7 8 9 9 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 6 5 4 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 5 3 1 1 2 3 4 6 7 6 5 3 3 3 4 6 6 6 7 7 7 7 7 8 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 9 10 9 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 8 8 8 7 7 8 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 8 6 4 4 5 7 8 8 8 8 7 7 8 8 8 8 8 7 7 7 8 8 8 8 6 6 6 6 5 4 3 3 5 8 9 7 4 2 1 2 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 8 8 8 8 9 9 9 10 10 9 8 8 8 8 8 7 7 7 7 8 9 10 10 9 8 8 8 8 8 8 9 8 7 6 5 5 5 5 6 7 7 7 8 8 9 9 9 8 8 7 7 8 8 9 9 9 9 9 8 8 8 9 9 9 8 5 3 3 5 7 9 9 8 8 8 8 8 7 7 8 8 7 7 8 8 8 8 7 6 7 7 7 6 6 5 5 8 11 11 7 3 -1 -2 0 3 4 5 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 8 7 6 5 5 5 6 6 7 7 8 9 10 10 9 9 8 8 8 8 9 9 10 9 9 8 8 8 8 9 9 8 7 5 2 3 5 8 9 9 9 8 8 8 7 7 7 8 8 8 7 8 8 8 8 7 6 8 8 7 7 7 6 7 8 10 10 7 2 -3 -4 -0 3 4 4 5 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 nan
nan 7 8 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 8 8 7 6 6 7 7 7 8 9 10 10 10 9 9 8 9 9 10 10 10 9 9 8 7 7 8 8 8 8 8 6 3 2 4 6 8 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 6 7 8 8 8 7 7 6 6 7 8 9 7 2 -2 -2 0 2 3 4 5 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 nan
nan 7 7 7 7 8 9 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 9 10 10 11 11 10 8 7 6 7 8 8 9 10 10 10 10 9 9 9 10 11 11 11 10 8 7 6 6 7 7 7 8 8 7 5 3 3 5 7 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 7 8 8 8 8 8 7 6 6 7 8 8 7 4 2 2 2 2 2 3 4 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 10 nan
nan 7 7 7 8 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 8 9 9 9 9 8 7 8 9 11 11 12 11 8 7 6 7 8 9 10 10 10 10 10 9 9 10 11 12 12 11 10 8 7 6 6 7 7 7 7 8 8 5 3 3 6 8 9 9 9 8 8 8 7 7 7 7 8 8 9 8 8 8 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 3 2 3 4 5 6 7 7 8 8 7 7 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 nan
nan 7 7 8 8 9 9 9 8 7 7 7 7 7 6 6 6 6 6 5 5 6 7 8 9 9 10 10 8 7 7 8 9 10 10 9 8 7 7 7 8 9 10 10 10 10 10 9 10 11 12 13 12 11 11 10 8 8 8 7 7 7 9 10 8 4 3 5 7 9 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 9 8 6 5 4 4 3 4 6 7 8 9 9 8 7 7 6 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 7 8 8 9 9 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 9 9 10 11 9 7 7 7 8 8 9 8 7 7 7 8 9 10 10 10 9 9 9 9 10 11 13 13 12 12 11 10 9 8 9 9 9 9 10 10 7 4 4 6 8 9 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 5 4 4 6 8 10 11 11 9 7 6 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 8 8 8 8 8 8 9 9 11 11 10 9 8 8 8 8 8 7 6 6 7 7 9 10 10 9 9 8 9 9 9 11 12 12 12 11 10 9 9 9 10 10 10 9 8 6 4 4 5 7 9 10 10 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 7 10 14 15 13 9 6 3 3 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 7 7 7 8 8 8 7 6 6 6 5 6 7 8 8 8 8 8 9 9 9 9 10 11 11 10 9 9 9 9 8 7 6 6 6 7 8 9 9 9 8 8 8 9 10 11 11 11 11 10 9 9 10 11 12 12 10 8 4 1 2 3 6 8 10 11 10 8 7 7 7 7 7 8 8 9 8 8 7 6 6 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 9 12 14 14 11 5 -1 -2 2 6 8 8 9 8 8 8 8 8 8 8 8 8 8 9 nan
nan 8 8 7 7 7 7 8 8 9 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 8 8 9 9 9 10 10 11 11 10 9 9 8 9 11 13 14 14 12 6 0 -2 -0 3 6 9 11 11 9 7 7 7 7 7 8 8 9 9 9 8 7 6 6 7 7 8 8 8 8 7 7 8 8 7 8 8 8 8 8 7 7 7 7 6 7 7 8 8 9 10 10 9 4 -4 -10 -6 2 6 8 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 8 7 7 7 7 8 8 9 9 8 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 8 8 7 6 7 8 9 9 10 11 11 11 10 9 8 8 8 9 11 13 14 14 11 3 -3 -3 -0 4 9 11 11 9 8 7 7 7 8 8 8 8 9 9 9 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 4 -4 -12 -12 -4 4 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 7 7 7 7 7 8 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 10 11 11 11 10 9 9 8 7 6 7 7 8 9 10 11 11 11 9 8 8 8 9 9 10 11 12 11 6 -0 -3 -2 3 8 12 12 10 7 6 6 6 7 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 1 -7 -11 -6 3 8 10 9 8 8 8 8 8 8 7 7 7 7 8 8 8 nan
nan 8 8 8 8 7 7 6 6 7 9 10 9 8 7 7 7 6 6 7 7 7 7 7 7 8 8 8 7 7 8 8 9 10 10 10 10 10 10 9 8 7 7 7 7 7 8 10 11 11 10 9 9 9 9 9 9 10 9 7 2 -1 -1 2 8 13 15 13 9 6 5 5 6 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 9 9 10 10 9 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 4 -1 -6 -5 3 11 14 12 10 9 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 8 8 7 7 7 7 9 9 9 9 8 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 6 8 10 12 12 11 10 10 9 9 9 8 7 4 1 0 2 7 12 16 16 12 8 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 4 1 1 6 15 19 18 13 10 9 8 7 7 7 6 6 6 7 7 7 7 7 nan
nan 9 9 8 8 8 8 7 7 8 9 9 10 9 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 6 6 7 7 8 9 10 11 11 9 8 7 7 8 7 6 6 9 10 11 11 11 10 9 9 8 8 6 4 3 3 6 11 14 15 13 10 7 6 7 8 9 8 8 7 7 8 8 8 8 8 8 7 7 6 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 10 15 20 20 16 13 10 9 7 5 5 5 6 6 6 7 7 7 7 7 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 6 7 8 8 8 7 7 8 8 9 8 7 6 6 6 6 6 8 9 11 11 10 8 7 8 9 9 7 7 7 8 9 10 11 11 10 9 8 7 6 5 4 6 9 12 13 11 9 6 6 7 9 10 10 9 8 7 7 8 8 8 8 8 8 7 6 6 7 8 8 9 9 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 9 10 12 14 15 13 12 10 9 6 3 2 2 4 6 6 6 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 6 7 8 8 8 8 7 8 8 9 8 7 7 7 7 6 6 7 9 10 10 10 9 9 9 10 10 9 8 6 6 6 7 8 8 8 8 7 6 6 5 5 7 10 11 10 8 6 6 7 9 10 10 10 9 8 7 7 8 8 8 8 8 7 7 6 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 6 7 9 9 9 9 9 8 8 7 6 3 -1 -2 1 4 5 6 7 7 7 7 7 7 nan
nan 8 8 8 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 8 8 8 7 6 7 8 8 9 9 10 11 11 11 9 7 5 4 4 5 6 6 6 7 6 6 6 5 6 8 10 10 9 7 7 8 9 11 10 9 9 8 7 7 7 8 8 7 7 7 7 7 6 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 7 8 8 8 8 6 4 3 1 -1 -3 -7 -6 0 4 6 6 7 7 7 7 7 7 nan
nan 8 8 8 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 9 10 10 10 10 9 9 8 7 7 8 9 8 7 6 6 7 8 9 11 11 11 11 9 6 4 4 6 6 7 7 7 7 7 7 7 6 7 8 9 9 9 8 8 8 9 10 9 8 8 8 7 7 8 8 8 7 7 6 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 6 7 8 8 8 6 3 -1 -4 -6 -7 -10 -12 -6 0 4 6 6 7 7 7 7 7 8 nan
nan 8 8 8 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 10 11 10 9 9 8 7 7 8 8 8 7 6 6 7 8 8 10 11 12 11 9 6 5 6 8 9 9 9 8 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 6 7 9 9 8 6 6 6 7 7 7 8 8 9 8 8 7 7 7 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 7 7 8 9 8 5 2 -1 -4 -5 -6 -8 -6 -1 4 6 6 7 7 7 7 7 7 8 nan
nan 8 8 8 8 9 8 8 8 8 8 9 10 10 9 7 6 7 7 8 9 8 7 7 8 9 10 9 9 8 8 8 8 7 7 7 6 6 6 7 7 8 9 10 11 10 9 7 7 8 10 11 11 10 9 8 8 8 8 7 5 5 5 5 6 7 7 7 7 6 6 6 6 6 6 8 9 9 7 6 5 6 7 8 9 9 10 10 9 8 8 7 7 8 8 8 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 8 9 9 8 8 7 6 6 5 3 1 2 4 5 6 7 7 7 7 7 7 8 8 nan
nan 8 7 8 8 8 8 8 8 8 8 9 10 10 9 7 6 6 7 9 9 8 7 7 7 7 8 8 9 10 10 10 10 8 7 6 6 5 6 6 7 7 8 8 9 9 8 7 8 9 10 11 11 11 11 11 10 10 10 8 7 6 6 6 6 7 7 7 6 5 4 4 5 6 7 8 8 7 6 5 6 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 10 10 9 8 8 8 8 9 9 9 9 10 11 11 12 11 7 4 2 3 4 6 7 7 7 7 7 7 7 8 nan
nan 8 8 8 8 8 8 8 8 8 8 9 10 10 9 7 6 6 8 9 9 8 8 7 7 7 8 9 10 11 12 12 11 9 8 7 7 6 6 6 6 6 7 7 8 8 7 7 8 9 9 10 10 11 12 13 13 12 12 11 10 9 8 7 7 7 7 7 6 5 5 5 5 6 7 7 6 6 5 6 7 9 9 10 10 9 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 9 10 10 9 9 9 9 9 8 9 9 9 9 10 10 10 8 3 -1 -2 1 4 6 7 7 7 7 7 7 7 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
96 92 78 63 49 49 52 62 64 59 54 46 38 33 28 24 24 24 24 27 27 24 24 26 28 31 33 32 34 36 34 32 29 28 27 23 18 16 16 19 26 37 44 49 54 61 63 67 72 72 61 41 33 28 25 22 22 23 24 24 24 28 36 39 30 28 27 27 21 19 16 12 10 9 3 3 0 0 0 0 0 0 0 4 8 4 2 2 2 2 3 6 11 18 26 31 28 24 23 27 31 36 43 50 59 67 73 82 92 89 79 68 65 63 61 60 57 55 58 72 95 128 167 211 253 297 361 418 451 485 617 953 1381 1605 1352
100 93 77 55 41 39 52 67 66 57 47 40 34 31 28 25 23 23 22 24 25 23 23 26 29 30 29 31 32 33 35 34 34 35 35 34 32 32 31 29 42 61 67 75 84 93 98 100 103 111 114 88 64 49 40 33 29 26 26 22 17 18 20 19 16 18 21 17 11 7 7 8 8 7 2 0 0 0 0 0 0 0 0 4 12 14 12 13 12 10 9 9 9 13 19 23 23 25 23 25 28 30 35 43 52 61 69 80 101 106 102 72 68 67 67 65 62 60 61 66 75 91 105 139 188 240 292 343 353 327 374 624 1077 1558 1438
90 80 68 52 49 49 62 65 57 45 36 30 28 29 31 28 26 26 24 23 23 22 22 24 25 26 25 28 29 30 31 33 37 41 45 47 48 50 60 77 70 89 104 114 122 132 141 144 143 142 153 141 124 102 81 64 52 44 44 40 20 17 13 6 1 6 11 8 3 1 2 3 3 3 1 0 0 0 0 0 0 0 0 4 11 13 17 25 27 24 21 17 15 14 15 20 22 26 24 25 26 28 30 35 41 48 56 65 80 87 91 75 70 68 67 64 60 58 61 86 101 99 95 112 149 191 238 285 315 297 252 283 554 935 1045
98 88 86 83 78 69 58 47 39 31 23 18 19 26 30 29 28 27 25 23 21 21 21 22 21 21 20 24 26 27 28 32 38 45 53 58 58 60 74 92 95 113 132 143 150 166 184 190 192 187 182 189 182 161 137 116 98 84 80 85 69 51 27 11 8 4 6 8 4 1 1 2 2 1 2 1 0 0 0 0 0 0 0 3 11 11 20 30 35 34 30 25 21 18 16 21 22 24 23 25 28 30 30 30 32 35 40 47 53 60 63 63 66 67 65 60 56 56 55 80 101 109 114 120 128 148 185 221 245 256 248 229 332 522 677
136 124 132 130 108 77 50 34 26 18 12 10 14 21 25 27 27 26 25 23 21 21 20 20 19 20 21 22 26 30 33 39 46 48 46 48 53 61 82 93 102 122 142 153 161 179 207 224 235 222 206 202 201 198 181 157 137 120 108 115 95 40 31 25 19 9 8 8 4 1 2 2 1 1 1 1 1 1 0 0 0 0 0 1 9 12 22 33 44 46 39 31 26 23 19 21 22 23 23 23 25 28 31 32 31 29 32 36 39 44 47 50 54 58 61 58 57 57 64 91 105 114 123 128 130 143 169 191 202 249 289 307 343 425 554
224 212 197 147 108 70 41 27 17 8 5 7 10 15 19 22 23 23 22 21 20 20 20 21 21 21 22 26 32 43 49 53 58 58 50 48 53 65 83 96 101 111 121 131 145 170 205 227 228 211 200 203 205 207 201 180 151 126 114 110 78 39 21 19 15 14 15 11 5 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 4 10 21 37 60 76 72 47 30 26 21 20 20 22 22 23 25 26 31 36 35 30 31 34 36 39 43 45 48 52 57 59 58 57 62 93 111 115 121 127 134 153 162 152 169 224 295 365 411 434 487
274 209 171 110 80 49 29 19 12 7 7 10 11 11 14 18 19 19 18 18 18 21 25 28 31 33 34 41 47 60 69 70 69 69 65 64 71 84 98 99 93 95 101 106 117 145 190 227 215 189 180 188 202 211 213 204 181 155 151 135 70 40 22 14 11 12 13 10 5 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 4 10 21 46 79 100 106 77 41 29 24 20 18 18 21 25 28 29 34 39 40 38 37 37 39 42 45 47 49 53 56 59 56 55 68 94 113 119 124 128 131 151 163 158 158 187 257 355 433 458 498
210 135 105 74 55 35 21 15 12 11 12 13 15 15 18 19 19 19 21 26 32 40 45 49 54 60 58 59 60 65 71 74 75 76 82 90 95 108 123 117 108 106 108 108 111 129 171 208 188 171 169 174 187 207 225 232 228 215 219 199 118 62 33 20 13 9 7 6 6 5 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 7 22 59 98 111 134 119 85 62 42 31 26 23 22 25 31 31 35 40 42 42 41 41 42 44 46 47 48 49 50 51 50 50 63 88 107 112 118 129 128 136 153 169 165 165 207 284 360 410 460
102 78 62 47 35 25 20 18 16 16 16 19 21 23 27 26 23 27 35 43 49 56 69 80 79 76 71 70 74 76 75 80 89 86 93 98 107 140 160 164 160 154 152 153 151 151 178 172 148 138 143 157 179 208 232 241 249 262 263 244 176 102 57 35 20 10 7 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 29 77 111 132 190 164 162 139 97 68 56 41 29 28 32 32 34 39 43 45 46 45 45 45 45 46 46 46 45 45 45 44 48 54 59 85 89 97 92 96 114 150 172 156 162 202 249 308 378
48 41 33 26 22 20 20 21 23 25 27 26 27 32 33 33 37 44 55 66 77 89 95 98 96 93 98 108 117 122 121 115 124 117 114 129 143 175 203 220 223 222 221 217 216 210 224 197 153 126 125 140 161 184 206 225 238 269 283 273 228 149 86 63 39 19 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 11 48 106 130 168 209 190 189 176 156 146 135 106 73 64 57 49 44 49 52 55 61 62 60 58 50 48 45 46 44 41 40 39 46 74 43 37 45 45 45 49 56 82 124 118 114 159 167 190 228
35 34 31 26 23 22 23 27 33 39 45 42 44 46 45 49 57 64 76 94 108 130 128 130 143 156 175 188 193 193 181 162 159 164 175 200 213 223 242 255 263 272 279 264 268 262 265 251 217 194 179 169 183 214 221 233 249 277 296 295 280 217 133 93 60 39 26 11 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 3 11 37 101 165 176 220 229 212 199 194 193 198 216 220 207 177 143 99 77 84 94 96 99 97 87 78 87 85 72 59 50 48 48 39 42 90 70 52 43 32 27 29 32 34 38 39 60 116 126 123 123
38 35 35 33 30 30 33 36 39 47 55 54 56 57 64 89 101 97 107 122 152 176 185 219 250 247 255 257 257 267 238 219 205 206 219 237 272 297 310 322 333 322 304 277 271 272 284 294 288 274 262 255 248 257 271 275 277 286 297 301 292 246 159 99 68 43 19 15 9 4 3 3 1 1 0 0 0 0 0 0 0 1 3 11 34 86 180 249 269 300 308 289 265 257 257 241 280 343 377 353 302 220 151 137 157 151 140 136 127 107 113 125 125 110 89 83 82 68 58 76 98 114 94 54 27 21 23 24 27 28 32 67 102 111 88
38 32 36 43 45 45 45 42 38 42 52 64 85 86 90 118 128 115 134 167 205 216 245 303 333 313 306 300 283 286 258 250 236 256 259 284 313 338 347 346 361 355 322 305 291 287 300 326 337 329 323 323 310 308 305 292 281 283 290 284 265 236 170 99 64 45 36 31 17 6 3 2 1 1 1 0 0 0 0 1 2 5 11 25 66 146 252 335 382 418 442 424 385 396 346 310 366 431 495 502 461 393 329 288 247 216 202 189 199 202 197 187 185 183 156 144 128 113 98 90 107 136 130 83 41 21 19 22 24 27 31 59 99 100 57
39 45 53 61 66 61 50 42 34 32 36 42 54 64 80 108 140 160 174 217 249 287 279 306 321 305 288 273 252 244 236 256 279 310 309 342 355 348 349 346 362 379 363 385 373 360 356 357 352 346 347 340 339 325 297 291 287 282 268 243 228 209 101 79 66 49 42 30 15 5 3 3 2 2 2 2 1 1 1 4 7 11 20 45 111 223 342 434 491 534 574 585 559 554 477 440 454 492 544 563 552 537 522 493 366 323 298 273 278 310 341 336 296 281 250 222 191 172 149 122 124 151 150 120 76 31 24 22 24 27 34 53 72 50 34
52 69 82 95 103 92 68 59 37 25 22 19 18 25 40 67 110 155 189 246 252 286 290 276 253 230 208 194 195 206 212 231 263 296 328 360 369 368 370 365 382 430 431 447 432 417 410 398 375 355 352 354 357 346 329 314 294 271 253 240 228 237 124 83 63 40 25 18 12 6 3 4 2 2 1 0 1 1 3 7 12 20 41 94 185 301 415 508 563 600 643 673 679 706 671 616 566 552 568 592 619 647 617 646 558 512 469 401 365 393 433 442 402 374 353 330 293 270 237 190 171 181 190 175 122 75 48 32 26 26 29 35 40 31 30
80 123 173 178 145 124 98 106 78 46 27 18 14 17 24 35 56 86 124 163 196 206 206 198 181 164 158 165 172 202 225 258 299 327 347 371 396 409 398 385 395 449 453 445 436 435 433 417 388 351 342 351 360 353 338 316 288 259 237 224 206 163 84 53 37 25 17 14 12 5 2 1 0 0 0 0 1 2 5 10 18 30 66 138 234 354 462 540 588 612 634 653 674 765 778 741 668 620 621 645 678 747 716 670 643 644 641 596 542 530 555 510 469 467 463 465 446 421 380 303 235 218 219 206 164 122 85 59 44 35 34 35 36 38 35
137 200 251 199 120 124 119 140 139 106 62 42 38 38 38 37 39 44 61 84 109 123 128 135 139 140 147 170 177 204 233 262 284 298 313 329 336 335 339 355 375 394 411 418 421 423 424 424 414 392 371 363 360 346 326 301 271 239 204 173 142 80 36 21 18 15 13 12 9 2 0 0 1 2 1 1 1 4 10 16 25 49 96 183 314 427 509 573 613 630 629 675 665 723 730 696 662 658 679 684 714 794 810 802 784 766 764 768 741 696 708 718 694 659 633 623 613 602 579 494 341 292 268 242 205 164 128 99 76 56 53 53 47 46 46
169 186 148 74 51 100 134 164 191 160 103 71 57 53 57 59 67 74 66 69 78 88 97 108 120 127 134 150 157 169 187 208 229 235 245 258 251 263 289 324 360 384 404 418 421 418 418 414 406 389 365 349 336 315 293 271 241 187 125 74 47 25 14 10 10 10 9 9 4 0 0 2 4 5 4 3 4 9 17 26 35 83 146 229 335 441 520 569 603 634 639 679 723 759 756 729 708 719 750 741 772 829 872 896 910 906 888 897 907 878 863 875 889 879 851 821 795 777 788 744 584 472 392 326 265 210 168 134 111 94 83 75 64 56 52
91 77 66 52 54 87 142 190 165 140 109 86 71 64 69 79 100 107 96 82 72 75 84 93 96 92 91 92 97 109 126 148 161 165 169 167 167 209 280 353 404 425 423 416 406 389 376 359 346 336 322 306 288 268 244 220 191 120 60 33 21 12 8 7 8 11 9 7 2 0 0 1 3 4 4 4 8 15 24 36 56 116 189 269 361 453 522 564 586 620 647 672 702 735 766 778 779 791 818 813 826 864 912 930 942 979 995 1008 1041 1025 1004 1003 1017 1031 1035 1029 1000 951 960 942 854 736 609 486 374 289 224 174 148 127 112 101 91 82 75
8 22 36 48 57 71 120 189 151 143 114 84 67 62 76 105 135 147 110 63 43 43 50 59 65 65 69 65 66 77 95 112 116 113 114 118 149 218 302 370 395 394 380 362 345 325 309 294 284 274 257 249 235 213 190 166 126 60 30 19 14 11 10 10 11 10 7 4 2 1 1 1 2 2 2 4 10 18 30 46 85 152 225 301 383 454 517 561 603 642 676 695 703 710 729 757 769 797 828 836 836 860 907 946 973 1011 1038 1057 1115 1108 1093 1100 1114 1123 1137 1177 1186 1135 1111 1098 1083 1002 852 691 551 444 347 262 208 170 146 132 120 109 99
2 6 12 21 30 34 75 133 172 174 149 121 106 114 136 162 183 161 64 39 37 44 66 91 99 81 71 61 62 73 85 92 96 97 91 88 105 179 272 323 323 304 284 267 256 246 242 231 232 221 207 192 176 156 134 108 58 27 16 13 13 12 11 10 11 11 7 6 4 3 2 2 2 2 3 6 13 20 33 57 108 176 237 293 366 430 494 553 611 662 707 739 755 767 771 791 803 798 823 839 837 848 889 937 979 1029 1054 1071 1118 1132 1127 1129 1142 1155 1170 1235 1253 1249 1268 1307 1289 1183 1065 946 819 711 590 442 334 266 216 181 157 140 121
0 1 1 2 5 10 47 75 93 130 174 177 163 186 209 236 280 181 120 131 140 170 236 276 266 176 94 64 65 76 81 80 76 70 66 64 64 185 230 221 196 176 168 167 165 163 167 163 167 159 143 130 121 105 74 46 19 15 11 10 10 11 12 12 12 10 8 6 5 3 3 2 1 2 5 10 17 25 37 64 123 187 221 265 325 390 460 521 579 631 690 747 787 823 835 839 857 844 843 845 836 830 851 897 940 1002 1031 1045 1061 1088 1116 1128 1158 1198 1208 1226 1273 1334 1327 1251 1224 1299 1328 1225 1135 1002 853 705 564 448 356 276 219 194 162
0 0 1 1 1 5 25 32 37 81 139 184 215 232 252 285 313 333 400 375 336 394 486 480 469 325 188 114 90 82 74 64 55 49 48 38 37 103 122 95 69 63 67 77 84 77 71 79 90 90 80 73 73 63 29 16 12 10 8 7 6 7 9 10 10 9 7 6 5 3 3 3 2 2 7 12 20 27 42 77 138 193 208 243 307 372 412 447 488 540 606 684 749 800 830 845 885 890 866 845 840 834 832 854 863 903 955 992 997 1013 1074 1072 1130 1225 1239 1273 1372 1405 1363 1424 1570 1611 1490 1305 1191 1063 944 850 759 660 554 452 382 328 273
0 0 1 1 1 2 5 5 10 28 64 122 190 233 252 229 209 202 200 228 298 385 434 412 387 335 260 171 112 79 59 45 36 27 25 15 14 34 36 23 16 19 18 23 29 25 23 25 30 37 39 35 33 29 13 10 9 7 6 5 5 7 9 11 11 10 9 7 7 6 3 2 2 1 6 13 21 31 49 89 149 194 205 224 260 294 309 319 343 388 450 518 572 636 698 739 797 824 812 806 826 843 840 851 837 847 906 959 969 984 1035 1038 1105 1180 1250 1306 1293 1234 1258 1351 1401 1369 1268 1127 1039 985 933 882 844 789 711 624 546 485 444
0 0 0 1 1 0 0 0 1 5 17 41 72 77 64 60 63 68 83 124 184 228 229 256 196 225 252 167 87 54 40 31 24 15 7 4 3 4 5 7 9 10 9 8 9 8 8 10 13 16 16 12 11 8 7 7 7 6 6 6 6 8 10 12 13 12 10 8 8 7 4 2 1 2 10 19 26 37 56 93 151 204 184 161 145 140 149 163 180 207 242 285 291 300 370 454 522 569 612 679 730 781 804 816 838 893 964 1010 1041 1089 1113 1124 1161 1186 1235 1241 1165 1046 1019 1139 1144 1098 969 880 849 846 865 900 896 853 806 746 660 575 532
0 0 2 6 2 4 4 6 7 9 9 9 13 11 5 4 5 13 40 70 86 85 72 118 139 144 178 110 39 23 19 14 8 2 1 1 0 0 1 2 3 3 4 4 4 4 3 4 5 5 4 2 3 3 3 4 5 4 4 4 4 6 11 11 14 14 8 5 5 5 5 4 4 7 16 25 33 43 61 91 134 179 124 80 64 59 59 66 81 92 101 118 116 113 131 177 231 275 319 416 496 580 653 701 764 869 978 1044 1111 1222 1128 1239 1288 1187 1063 1071 1207 1349 1429 1343 1136 948 818 755 746 750 773 832 857 866 876 865 802 706 624
5 8 9 15 10 15 15 12 11 10 7 3 3 3 3 2 1 3 12 27 31 15 16 58 79 69 66 35 10 6 5 3 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 2 1 1 2 2 2 1 2 1 3 8 8 13 14 8 4 3 4 9 8 9 13 21 30 38 47 59 78 96 98 69 50 42 39 40 44 52 55 57 62 62 59 63 75 91 108 118 172 228 284 355 455 570 689 806 891 1042 1115 1171 1232 1085 832 676 733 957 1405 1716 1561 1250 1007 835 742 732 719 718 730 751 799 862 898 882 831 749
22 27 22 23 20 23 22 18 16 14 9 3 4 3 1 1 0 0 1 1 0 1 8 35 31 18 8 3 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 0 0 0 1 0 0 0 1 1 4 5 10 12 11 9 8 10 14 15 17 23 29 35 42 50 57 63 57 47 39 34 32 32 33 34 40 43 46 48 50 49 50 55 58 62 65 76 89 104 124 185 296 400 502 628 905 986 930 842 814 770 664 528 632 935 1091 1130 1125 1000 849 738 693 672 671 678 680 704 744 770 788 811 808
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