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 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 6 4 3 4 6 6 6 5 6 7 8 8 9 9 9 8 8 7 7 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 8 7 6 6 6 6 6 6 6 7 8 8 9 8 7 6 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 6 5 4 5 7 7 6 5 5 6 6 7 8 8 8 8 8 8 8 7 6 6 5 5 5 5 5 6 6 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 nan
nan 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 7 6 5 5 5 5 5 6 6 8 8 8 8 7 6 6 6 6 6 6 7 7 7 8 7 7 7 8 8 8 8 7 5 4 5 8 8 7 6 5 5 6 6 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 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 7 6 nan
nan 3 3 3 3 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 6 6 5 5 5 5 6 6 7 8 8 8 7 6 6 6 6 6 7 7 7 8 8 7 7 8 8 8 8 8 7 5 4 5 8 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 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 nan
nan 3 3 3 4 4 4 4 3 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 7 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 8 7 5 5 6 8 9 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 5 5 5 5 5 6 nan
nan 3 3 4 4 4 4 4 3 2 2 3 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 6 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 8 7 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 9 8 7 5 5 6 7 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 3 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 8 8 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 9 10 10 9 9 8 7 6 5 6 7 8 9 9 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 3 4 4 4 4 4 3 3 3 3 4 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 9 9 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 10 11 10 9 9 9 10 10 10 10 10 9 8 7 6 6 6 7 8 8 8 8 8 7 7 8 9 9 10 11 11 12 12 12 13 12 11 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 nan
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nan 9 7 7 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 12 13 13 12 11 11 10 9 8 9 9 9 9 8 9 10 9 8 5 2 1 1 3 5 6 6 5 5 6 7 8 9 10 10 11 11 11 11 11 11 12 12 13 13 13 12 12 13 13 13 13 12 12 12 12 10 9 9 10 10 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 nan
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nan 8 7 6 6 6 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 12 13 13 12 11 10 9 9 9 9 9 9 9 8 8 7 7 6 4 1 -1 -0 3 5 7 6 6 7 8 10 10 11 10 10 9 9 9 8 8 9 9 10 10 10 10 11 12 13 14 16 18 20 23 24 22 19 17 16 15 15 14 14 14 12 11 9 9 9 9 9 9 9 8 7 7 7 nan
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nan 2 0 -1 -0 2 4 5 6 6 6 6 7 7 8 8 9 10 10 10 10 10 10 10 10 11 11 11 12 12 13 12 12 12 12 12 12 13 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 9 9 10 9 9 7 7 7 6 4 0 -2 -0 3 6 7 7 7 8 9 10 10 9 9 9 8 8 8 7 7 7 7 8 8 9 8 7 6 6 6 7 9 11 12 13 14 15 16 18 19 18 18 19 19 19 17 16 16 16 17 16 15 13 11 10 10 10 10 nan
nan 4 3 0 -1 1 4 5 6 6 6 7 7 8 8 9 10 10 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 11 11 12 12 12 11 10 10 10 10 11 11 11 11 10 10 9 9 10 10 10 11 11 11 10 10 9 9 8 9 9 9 9 9 10 10 9 8 8 7 6 5 3 0 0 3 6 8 8 8 9 10 10 10 10 9 9 9 8 8 8 7 7 7 8 8 8 8 8 7 6 5 5 5 6 7 8 8 8 9 10 12 15 17 19 20 21 21 21 21 22 22 22 21 18 16 14 14 13 14 14 nan
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nan 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 5 5 6 7 7 8 8 9 9 8 8 8 7 7 8 8 8 8 7 6 6 6 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 5 2 1 0 1 3 6 7 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 5 4 3 3 3 3 5 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 nan
nan 7 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 9 10 9 6 3 1 0 1 3 6 7 8 9 8 7 6 5 5 5 5 6 7 6 7 7 7 8 8 7 5 6 6 5 4 4 6 9 11 10 8 7 5 4 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 nan
nan 8 9 9 9 8 7 6 5 5 6 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 9 10 10 9 6 4 1 1 2 4 6 7 9 9 8 7 6 5 5 4 5 6 6 6 6 7 7 8 7 5 4 6 7 6 5 6 8 11 12 11 8 5 3 3 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 6 6 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 8 9 8 8 8 8 7 7 7 8 10 11 11 9 7 3 1 1 3 5 6 8 8 9 8 7 7 6 5 4 5 6 6 6 6 7 8 8 6 3 4 6 7 7 7 8 10 11 11 10 7 3 1 3 5 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 11 11 10 10 9 9 9 8 7 6 6 6 7 7 7 7 8 9 10 10 9 9 9 8 8 7 7 8 9 9 9 8 7 7 7 7 8 9 11 11 11 9 6 3 1 2 4 6 8 8 8 8 7 7 7 6 5 5 5 6 6 6 7 7 8 7 5 4 4 6 7 7 9 10 10 10 9 8 5 2 3 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 7 7 8 9 9 8 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 7 7 7 8 8 6 5 4 5 6 7 7 8 9 10 10 10 10 9 8 8 7 8 9 10 10 9 8 7 6 6 7 9 10 11 11 11 9 6 2 1 2 4 7 9 9 8 7 7 7 6 6 5 5 5 6 6 6 7 8 7 6 4 4 5 6 7 8 9 10 10 9 8 7 5 5 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 8 8 9 9 8 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 8 7 7 7 6 6 5 5 5 7 7 7 6 5 5 5 7 7 8 9 10 11 11 10 9 8 8 8 8 10 10 10 9 8 6 6 6 7 9 11 11 12 11 9 5 2 1 2 5 8 9 8 7 7 6 6 7 6 5 5 5 5 6 7 8 8 6 4 4 5 6 6 7 7 9 10 10 9 8 7 7 8 9 8 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 8 8 7 6 5 5 6 8 8 8 8 9 9 8 8 8 9 10 10 10 8 7 7 6 5 5 5 5 4 5 7 8 8 7 6 6 7 8 8 9 10 11 11 10 9 8 8 8 9 10 11 10 10 9 8 7 7 9 10 12 12 12 11 7 3 1 2 4 6 8 8 8 7 6 6 6 7 7 6 5 5 5 6 7 7 7 5 4 4 5 6 7 7 7 9 10 10 9 7 7 8 9 9 8 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 7 8 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 7 7 5 4 4 4 6 7 7 8 7 7 7 7 7 8 9 9 10 10 9 9 8 8 7 6 6 6 5 4 5 6 8 8 7 7 7 8 9 9 10 11 11 10 9 8 8 8 10 11 11 10 10 9 9 8 8 9 11 12 13 12 9 5 2 2 3 5 7 8 8 7 6 6 6 6 7 6 6 5 6 6 6 6 6 5 4 4 5 6 6 7 7 8 10 11 10 8 7 6 7 7 8 7 7 8 9 9 9 9 10 11 12 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 8 7 5 4 4 5 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 9 8 7 5 4 4 4 5 7 7 7 7 8 9 10 11 11 11 10 9 8 8 9 10 11 11 10 10 9 9 8 9 10 12 12 12 9 5 2 2 3 5 6 7 8 8 7 6 6 6 6 6 5 5 5 7 7 7 6 5 4 4 5 6 6 7 7 8 9 11 11 9 6 5 5 6 6 7 6 6 7 8 9 10 11 13 15 16 15 13 10 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
nan 9 8 7 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 10 10 11 11 10 9 8 6 5 4 3 4 5 6 6 7 8 9 10 11 12 11 10 9 8 8 9 10 10 10 10 9 9 9 9 10 12 12 12 9 5 1 0 2 5 6 7 7 8 7 6 5 6 7 7 5 4 4 6 8 8 7 6 5 5 5 6 7 7 7 7 9 10 10 9 5 4 5 5 6 6 6 5 6 7 8 9 10 12 14 15 16 14 11 7 4 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 nan
nan 10 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 10 11 11 11 10 8 7 6 4 4 4 5 6 6 7 8 9 11 11 11 10 9 9 9 9 10 10 10 9 9 8 9 10 11 12 12 10 6 1 -1 0 3 6 7 8 8 7 6 6 6 7 8 7 5 4 5 7 8 9 7 6 6 6 7 8 8 7 7 8 9 9 9 6 3 4 5 6 6 6 5 6 7 9 9 9 9 10 11 11 11 8 3 -1 0 4 6 7 7 8 8 7 8 8 8 8 8 8 8 8 9 nan
nan 9 9 8 8 8 7 7 7 7 8 8 7 7 6 6 7 7 7 7 7 7 8 8 9 10 11 12 12 11 9 8 6 5 5 5 5 6 7 7 8 9 10 11 11 10 10 10 10 10 10 9 8 8 8 9 10 11 12 11 8 2 -1 -1 1 4 6 8 8 8 7 6 6 6 8 8 6 5 4 5 7 8 8 7 7 7 7 8 8 7 7 8 8 9 9 7 5 5 6 7 7 7 7 7 8 9 10 9 8 8 8 8 8 6 2 -3 -5 -0 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 9 9 8 7 7 7 8 8 8 7 6 5 5 5 5 6 7 7 7 7 7 8 9 10 11 12 11 11 9 8 6 5 5 5 6 6 7 7 8 9 10 11 11 11 11 10 9 9 8 8 8 8 9 10 10 10 8 4 -0 -1 -0 2 5 7 8 8 7 6 5 6 6 7 7 6 5 6 6 6 7 8 8 8 8 8 8 8 7 7 8 8 8 7 6 6 7 7 8 8 7 7 8 9 9 9 8 8 8 8 8 7 4 -0 -4 -2 4 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 nan
nan 8 9 9 8 8 8 8 9 8 8 8 7 6 5 5 4 5 6 7 7 7 7 7 7 8 9 10 10 11 11 11 9 8 6 5 5 6 6 7 7 7 7 8 10 11 12 12 11 10 9 9 9 9 8 9 9 9 8 5 2 -1 -0 2 5 8 9 9 8 7 6 5 5 7 7 7 7 7 7 6 5 7 8 9 9 8 8 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 6 3 0 -0 5 10 13 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 8 8 8 8 9 9 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 10 11 11 11 9 7 6 6 6 7 7 7 7 7 8 9 10 11 12 12 11 10 10 9 9 8 8 8 8 6 4 2 1 2 6 9 11 11 10 9 7 6 6 6 8 8 8 7 7 6 5 5 7 9 10 9 8 8 7 7 7 7 6 5 5 6 7 8 8 8 8 8 8 9 8 8 8 8 7 7 8 8 7 6 5 4 8 14 17 16 14 12 11 11 10 9 9 9 8 8 8 8 7 7 8 nan
nan 8 8 8 9 10 10 10 9 8 8 8 7 7 7 7 7 6 5 5 5 6 6 6 6 6 7 8 8 9 10 11 11 10 8 7 6 7 7 8 7 7 8 8 9 10 10 11 12 11 11 10 9 9 8 8 8 7 6 4 3 4 6 9 11 12 11 10 8 7 7 8 9 9 9 8 6 5 4 5 7 9 10 9 8 7 7 6 6 7 7 7 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 10 15 18 18 16 14 13 13 11 9 8 8 8 7 7 7 7 7 7 8 nan
nan 8 9 9 10 10 9 9 8 8 7 7 7 8 8 7 7 6 6 6 7 7 7 7 6 6 6 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 9 11 11 11 10 9 10 9 8 8 7 6 5 4 6 9 11 11 11 10 8 8 8 9 9 10 10 9 7 5 4 4 6 8 9 8 7 7 6 5 5 7 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 9 12 14 14 13 12 13 13 11 9 7 6 6 6 6 7 7 7 8 8 8 nan
nan 8 8 9 9 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 6 6 6 5 5 6 8 10 10 9 7 7 7 7 7 7 6 7 7 6 6 7 9 11 11 10 10 9 9 8 7 7 6 5 5 8 10 11 10 9 8 8 9 10 10 9 9 9 8 6 5 4 6 8 8 6 5 5 6 6 5 6 8 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 9 9 9 10 9 8 5 3 4 5 5 6 7 7 8 8 8 9 nan
nan 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 7 7 6 5 5 5 7 8 9 9 9 8 7 7 7 7 7 7 6 6 5 5 7 9 10 10 9 9 8 7 6 6 6 5 6 9 11 10 9 8 8 9 10 11 10 9 9 8 7 6 4 5 7 7 6 4 4 5 6 5 5 6 8 8 8 8 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 11 10 9 8 8 7 6 5 5 3 1 -1 -1 2 4 6 7 8 8 8 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 7 7 6 6 6 6 7 9 9 9 8 8 8 7 7 7 7 6 5 4 5 6 8 9 9 9 8 6 5 5 5 5 6 8 9 9 9 8 8 9 10 11 10 10 9 9 7 6 5 6 8 7 6 5 5 7 7 6 6 7 7 7 7 7 7 7 8 10 11 9 9 9 10 10 9 9 9 9 9 10 11 13 13 11 9 8 8 8 6 2 -0 -2 -2 -5 -7 -3 2 5 7 8 8 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 7 6 5 6 7 8 8 8 9 9 9 8 7 6 7 8 9 8 8 8 8 8 8 8 7 6 4 3 4 6 8 9 9 9 7 6 5 4 4 4 5 6 6 7 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 8 7 7 8 9 9 9 9 8 7 7 8 7 7 8 9 10 9 8 9 9 10 10 10 10 9 9 9 10 13 13 12 10 8 7 8 8 4 1 -1 -1 -1 -3 -2 2 5 7 8 9 9 9 9 9 9 9 nan
nan 8 8 8 8 9 8 8 8 8 9 10 10 9 8 8 9 9 9 9 8 7 7 7 7 8 9 10 10 10 10 9 8 7 7 8 9 9 8 8 8 8 8 8 7 6 5 4 5 7 8 9 9 9 9 8 6 5 4 3 3 3 4 6 7 7 7 7 8 7 7 8 9 9 8 8 8 8 8 8 8 8 9 10 11 10 9 8 8 9 9 8 7 8 9 8 8 8 9 10 11 11 10 10 9 9 10 12 12 11 9 7 6 6 7 5 4 3 5 7 7 5 6 7 8 8 8 9 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 8 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 9 9 10 10 10 9 9 8 6 5 4 5 5 6 6 7 7 7 6 6 7 7 8 8 7 8 8 8 8 8 9 10 10 10 10 8 8 10 10 9 8 7 8 8 8 8 9 9 10 11 11 10 9 8 9 11 11 10 8 7 6 6 6 6 5 6 8 11 12 11 9 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 10 10 10 10 10 10 9 8 8 9 9 8 6 6 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 11 11 11 10 10 9 9 8 7 6 6 7 7 6 5 5 6 6 7 7 7 7 7 7 7 8 9 9 9 9 8 8 9 10 11 9 8 9 10 10 9 9 9 9 9 9 9 9 8 9 10 10 9 8 7 7 9 9 8 8 9 9 10 11 11 8 5 4 5 6 7 8 8 8 8 8 8 8 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
23 20 18 18 16 16 18 21 23 24 24 23 21 21 25 29 29 30 35 45 54 59 62 64 68 72 77 84 89 92 90 80 79 80 73 66 63 62 65 67 68 65 63 61 64 83 117 149 174 200 233 258 248 260 252 167 109 75 52 36 29 29 33 40 40 25 15 8 6 5 5 5 5 6 5 5 4 4 3 3 3 3 4 7 11 25 52 76 97 95 81 81 74 61 47 35 32 28 27 33 33 25 30 35 36 36 34 34 34 33 42 52 55 61 62 62 74 97 131 165 191 202 222 198 151 132 127 112 92 66 45 35 30 24 24
20 17 18 19 15 15 18 21 23 24 25 24 24 25 27 29 29 24 30 40 47 52 55 60 66 76 89 113 124 135 132 117 111 108 104 98 89 82 87 96 95 97 102 89 81 93 128 177 221 251 283 345 407 362 324 231 155 106 74 52 46 56 56 62 72 50 26 13 8 6 5 5 5 5 4 4 4 4 4 4 4 4 5 9 15 27 66 141 177 129 102 92 90 88 80 71 57 36 33 36 33 31 33 31 39 52 57 56 55 44 39 44 48 53 55 56 57 58 64 77 99 121 146 142 127 109 91 76 61 45 34 28 23 21 21
20 17 18 20 17 16 19 22 24 26 29 30 30 31 30 31 28 24 27 32 37 40 45 51 60 74 91 126 136 154 160 152 146 147 151 147 131 113 113 132 127 141 164 156 135 134 161 202 235 237 222 227 227 239 222 179 136 100 78 65 57 72 62 51 41 30 18 9 6 5 5 4 3 3 2 3 3 4 4 4 4 4 6 8 13 29 80 225 260 202 153 126 116 111 104 103 91 66 59 44 34 33 40 43 48 58 69 76 75 49 35 30 32 39 45 48 48 46 41 43 50 64 73 82 82 68 52 40 33 28 23 20 18 19 19
22 19 19 21 20 18 21 25 29 33 39 42 39 36 32 31 29 25 23 24 26 32 38 43 50 61 71 94 107 130 150 157 161 165 170 171 162 148 139 150 149 168 203 217 196 190 222 246 233 206 162 136 117 111 110 101 82 64 66 83 66 61 47 31 18 8 5 6 6 6 6 5 4 3 2 2 2 3 5 5 3 2 3 6 17 59 120 303 375 348 298 254 203 160 162 158 145 143 135 91 63 57 60 68 74 71 74 75 69 47 35 32 29 31 36 42 47 46 36 33 35 43 49 53 55 49 39 30 28 24 20 17 16 17 17
26 23 22 25 25 24 28 35 42 46 49 49 42 38 34 33 33 30 26 26 28 31 35 39 41 44 51 59 71 95 130 157 183 210 220 212 196 181 172 170 173 193 224 235 220 228 270 281 238 177 119 84 59 57 59 53 44 37 46 76 62 33 21 14 13 8 7 10 11 11 11 11 6 2 6 7 8 13 18 20 17 10 6 15 41 119 204 364 482 515 512 498 448 379 353 347 325 314 291 234 192 163 133 112 107 107 111 78 55 41 34 30 30 33 35 40 48 54 58 58 59 63 64 69 78 78 69 63 55 52 40 30 22 20 21
27 25 28 29 31 35 41 50 57 57 50 38 29 30 32 34 35 35 35 35 35 35 36 37 37 38 41 52 78 114 155 197 250 310 352 341 277 218 209 221 222 245 266 249 220 233 273 275 223 156 103 70 48 42 39 35 33 30 29 44 42 29 21 18 19 18 18 20 23 25 25 28 20 25 28 33 40 46 49 50 45 29 28 52 91 163 308 459 570 643 685 725 737 692 656 663 628 589 528 455 393 344 308 278 266 235 210 143 92 70 58 47 45 60 70 72 77 91 115 138 153 156 153 152 154 150 132 126 112 104 91 74 52 33 27
33 29 32 35 39 47 55 62 66 59 44 25 17 18 24 31 36 39 40 42 46 47 44 41 41 41 47 68 126 177 209 255 321 388 448 465 373 269 254 277 293 327 341 289 217 208 233 233 214 160 110 66 45 40 40 40 41 39 30 69 63 65 45 27 24 30 36 40 43 44 44 43 39 39 41 48 53 57 59 58 52 35 46 90 157 248 418 561 648 722 768 830 903 964 971 996 961 899 817 732 665 617 614 590 554 507 430 338 264 216 186 173 174 195 208 195 175 181 214 245 269 293 295 287 284 270 251 233 214 197 179 159 129 95 65
41 36 41 47 53 62 68 70 68 59 47 34 24 18 19 27 34 40 45 48 51 54 57 60 63 63 76 115 185 237 263 293 341 398 446 438 390 318 308 340 358 386 386 316 232 182 166 157 147 119 98 71 50 52 65 66 84 115 47 96 79 54 48 52 54 56 57 70 67 65 59 50 43 40 35 32 35 38 42 39 33 34 52 100 177 334 494 580 633 681 719 772 838 954 1057 1128 1158 1156 1129 1100 1079 1030 1007 956 914 862 774 687 625 575 530 512 516 488 474 427 384 371 383 411 440 451 450 446 447 430 406 383 362 341 317 291 255 213 170
55 54 67 75 81 93 97 88 74 64 56 50 44 31 29 34 42 49 56 60 65 74 95 119 125 124 144 191 246 280 292 305 341 390 441 509 410 346 315 319 326 322 295 245 198 132 98 92 88 88 92 82 71 81 92 73 113 163 96 120 118 115 122 103 83 98 82 88 75 70 63 52 40 38 36 28 25 27 31 25 20 35 59 119 225 366 465 496 547 600 641 728 808 879 953 1054 1169 1282 1365 1440 1483 1479 1435 1330 1232 1173 1141 1117 1081 1022 946 897 850 787 761 711 665 630 599 583 575 589 599 605 611 609 589 557 530 506 473 442 414 371 321
82 90 111 115 127 145 144 123 99 78 66 59 54 45 41 41 45 52 60 75 104 131 172 194 202 212 240 283 321 338 335 338 376 387 336 322 311 281 237 212 203 182 148 122 109 83 66 59 63 76 86 92 93 83 83 77 113 139 153 155 142 176 196 130 64 79 72 65 55 49 47 41 34 31 33 30 27 27 27 18 21 44 94 183 301 389 377 381 491 572 682 821 949 1050 1100 1137 1240 1391 1484 1603 1750 1855 1773 1605 1472 1447 1504 1524 1480 1406 1287 1206 1125 1039 979 935 896 857 827 798 762 748 755 782 822 845 834 795 740 687 638 608 590 546 488
134 129 127 148 187 209 196 161 125 89 69 57 48 40 36 35 37 45 63 92 125 153 200 238 269 308 353 389 415 423 396 362 349 296 212 186 190 179 142 111 90 64 59 64 76 91 105 113 112 114 121 140 151 135 143 120 98 92 99 87 69 96 140 127 67 64 57 38 29 26 25 24 22 23 26 27 24 20 14 14 31 63 120 227 358 383 247 347 523 640 803 955 1069 1199 1340 1395 1451 1545 1602 1676 1816 1983 1932 1778 1696 1707 1774 1742 1666 1543 1467 1408 1325 1219 1139 1113 1111 1092 1009 917 855 861 884 932 1008 1069 1066 1041 997 920 846 798 769 728 675
202 185 188 222 258 264 228 170 118 81 61 47 38 34 34 37 44 54 78 126 165 214 276 327 361 404 449 459 438 400 326 257 198 139 87 66 78 91 83 72 64 41 52 112 189 203 227 260 312 323 269 213 202 180 138 84 44 24 20 18 15 25 38 24 22 23 17 17 16 15 14 14 16 19 23 27 23 22 23 26 48 92 155 258 368 265 224 441 645 799 933 1015 1021 1040 1180 1289 1279 1304 1418 1440 1527 1766 1934 1930 1823 1710 1653 1771 1763 1718 1697 1601 1433 1304 1277 1325 1274 1130 1073 1100 1089 1053 1001 992 1046 1114 1153 1192 1198 1146 1077 1015 962 913 869
360 312 303 307 290 249 190 129 81 61 46 36 33 35 38 44 49 66 111 172 235 309 386 449 463 446 424 379 305 232 163 121 91 64 40 30 32 52 68 75 96 120 151 234 310 317 281 238 203 166 135 114 79 35 11 6 5 3 3 4 4 4 7 8 4 3 4 6 8 9 9 10 12 16 19 22 22 24 26 37 71 127 194 276 369 229 380 605 778 883 917 893 825 748 765 783 764 802 954 982 1059 1272 1471 1592 1570 1453 1499 1811 1927 2032 2073 1969 1796 1713 1705 1615 1501 1519 1624 1667 1573 1335 1118 1054 1075 1102 1176 1236 1290 1315 1287 1227 1160 1097 1067
416 349 311 284 243 185 124 78 53 47 40 32 32 36 42 54 78 116 172 240 301 367 413 436 393 307 230 180 142 100 73 51 54 74 72 47 73 122 138 158 215 270 257 255 222 179 130 90 58 30 8 6 5 3 2 1 1 2 3 7 13 22 23 18 3 1 1 1 3 4 5 7 9 12 19 24 26 27 33 59 108 151 165 142 178 316 496 636 729 755 698 598 524 467 453 452 435 481 641 716 769 867 905 889 1132 1272 1503 1659 1742 1875 2083 2304 2398 2325 2165 1845 1834 1930 2044 2009 1753 1458 1310 1323 1229 1193 1256 1289 1345 1376 1394 1423 1442 1403 1276
250 220 203 197 180 159 143 95 58 50 45 44 45 52 68 96 142 197 240 275 286 306 279 244 209 165 124 110 131 156 159 130 157 233 290 344 341 279 238 256 279 250 201 154 117 96 83 71 54 32 8 4 2 2 1 0 1 1 2 3 8 18 6 1 1 1 1 1 1 2 2 5 9 13 21 27 32 35 47 82 121 135 102 66 176 355 475 526 542 518 443 356 308 282 259 263 291 345 447 552 624 686 766 814 973 1042 1079 1099 1137 1259 1504 1837 2090 2050 1839 1829 1847 1827 1885 1941 1898 1843 1830 1703 1435 1353 1304 1209 1160 1272 1473 1562 1515 1408 1327
121 138 133 120 105 110 158 168 119 93 90 99 100 107 131 164 193 216 229 215 201 185 161 142 136 139 149 179 248 310 324 365 380 348 270 173 108 109 134 123 92 53 78 90 105 113 100 69 37 14 1 1 1 1 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 3 6 11 20 29 35 39 42 56 77 79 76 49 67 227 372 421 407 372 330 278 221 177 169 154 165 207 269 352 435 481 544 643 724 714 680 650 634 666 767 887 1038 1143 1137 1188 1434 1410 1277 1384 1619 1755 1803 1802 1588 1376 1232 1129 1148 1328 1503 1603 1488 1366 1277 1252
59 52 39 32 31 35 70 121 148 152 154 171 175 170 175 195 219 226 192 155 136 126 115 112 127 154 174 200 259 309 313 288 220 149 90 41 14 8 12 13 18 16 41 62 68 54 31 16 5 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 2 5 10 18 28 36 39 41 46 50 51 45 40 49 135 262 328 313 261 225 212 188 152 123 117 124 144 184 252 334 392 393 415 410 343 355 380 385 389 426 486 482 430 453 532 658 821 820 744 770 778 1008 1147 1153 1174 1176 1195 1342 1558 1515 1400 1290 1217 1182 1162 1184
27 23 18 19 23 20 20 29 66 91 119 141 163 166 156 173 204 208 213 181 163 144 127 119 144 187 200 202 235 251 224 173 125 96 87 73 34 15 9 7 6 8 15 22 20 9 2 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 2 6 11 18 25 30 34 39 42 40 36 38 53 106 163 182 171 150 120 109 126 116 97 79 77 95 133 199 289 360 380 364 371 400 425 398 342 311 322 351 371 366 333 349 381 399 408 447 549 643 763 797 872 971 1052 1128 1256 1439 1443 1206 1066 978 943 957 985 1036
19 18 12 12 16 17 13 13 12 20 39 55 63 68 87 113 126 138 144 166 214 185 131 123 169 231 248 257 249 212 142 74 33 17 24 35 11 3 3 2 3 4 6 7 5 3 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 3 4 6 11 18 23 28 32 32 30 34 74 115 115 86 63 50 39 37 55 57 50 37 34 56 116 208 295 330 331 342 368 410 439 426 385 351 341 351 370 383 367 348 331 322 346 431 503 575 661 715 736 781 866 946 945 889 726 688 656 645 677 725 767 815
15 9 5 9 15 14 7 5 3 4 12 25 37 57 86 96 89 120 150 167 202 193 183 201 216 218 203 185 142 131 84 35 11 5 3 2 2 2 2 2 2 2 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 3 8 12 16 24 29 34 38 50 55 47 32 26 23 22 26 28 31 28 23 22 36 81 155 204 229 236 232 251 311 395 460 453 398 355 357 375 364 324 304 333 389 445 505 525 546 527 503 494 491 500 496 456 419 362 364 405 467 530 574 605 638
8 4 5 12 19 13 3 1 1 7 21 38 55 71 86 91 84 96 114 117 130 150 182 210 198 159 137 123 90 68 43 20 7 3 2 1 1 1 2 2 1 1 1 1 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 2 8 10 15 22 29 28 24 22 21 20 20 20 21 24 26 26 26 26 27 33 58 91 120 162 191 215 264 333 389 435 477 479 440 423 411 388 369 375 413 473 509 579 609 591 554 493 408 316 240 194 215 237 256 279 324 381 431 463 489 520
3 3 7 12 14 7 1 1 6 18 31 39 43 47 44 30 48 66 67 70 82 98 115 131 148 145 132 116 86 47 20 9 4 2 1 0 0 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 0 1 0 0 0 0 0 0 0 0 0 3 6 6 8 14 18 17 15 14 15 16 15 18 22 23 25 28 31 34 34 36 43 59 96 150 205 268 341 404 455 519 585 550 486 440 405 388 407 430 431 447 475 506 491 454 444 449 383 260 155 109 104 103 124 166 198 225 250 295 322 350
2 1 4 5 4 3 3 7 14 21 27 29 28 33 25 31 36 47 47 49 67 96 123 136 143 126 95 63 38 18 8 3 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 6 12 16 17 17 17 14 14 15 18 20 21 24 29 36 41 43 42 44 64 95 138 193 258 323 371 384 415 436 404 355 306 263 247 275 294 305 322 329 303 263 234 240 278 250 161 86 43 25 17 14 19 34 60 69 89 105 112
0 0 0 0 2 4 5 6 8 13 23 28 23 29 30 41 55 61 59 62 75 93 108 104 85 57 35 19 9 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 16 16 15 14 11 12 13 18 20 21 24 30 38 43 46 46 45 54 72 95 125 153 172 189 176 172 164 159 151 130 102 89 104 119 136 149 150 130 98 77 81 88 66 50 30 13 3 1 0 0 0 3 6 6 11 11
0 1 1 1 2 3 3 2 2 11 23 25 24 28 33 42 46 44 40 46 53 49 48 44 26 15 8 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 13 12 11 10 10 10 15 19 20 22 27 34 39 41 43 43 41 42 45 51 58 59 62 49 42 44 38 32 35 35 30 24 24 26 20 21 30 33 25 18 16 16 10 10 10 6 3 1 0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 5 10 11 10 12 18 21 25 28 26 22 19 16 15 11 6 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 5 5 6 8 9 13 16 19 22 31 37 38 37 37 36 35 34 33 32 31 28 27 25 24 22 18 13 12 11 10 8 7 6 5 5 5 6 6 4 3 2 3 4 4 3 2 0 0 0 0 0 0 0 0 0
1 1 0 0 1 1 1 1 1 1 2 2 2 2 2 9 16 19 16 10 5 4 4 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 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 3 4 7 10 13 16 19 27 31 32 30 29 28 27 27 26 24 23 20 19 18 17 15 13 9 7 5 4 3 2 3 3 2 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 3 5 4 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 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 0 0 0 0 0 0 0 0 0 1 2 5 6 11 14 17 18 19 20 20 20 21 22 21 20 18 16 15 14 13 11 9 5 4 3 2 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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