Vorticity
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nan 5 6 7 9 14 19 19 14 9 6 5 5 6 6 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 3 3 2 3 3 4 5 4 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 7 7 6 5 5 5 4 4 4 6 7 9 8 6 4 3 4 5 5 5 5 5 5 5 5 4 4 5 6 8 9 9 8 5 2 0 2 4 6 8 10 9 8 nan
nan 6 6 7 8 13 19 21 15 9 5 4 5 6 6 6 5 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 5 5 5 4 3 3 3 2 3 4 6 8 7 5 2 1 3 4 5 4 3 3 3 3 3 3 3 4 5 6 8 8 7 5 3 3 5 7 10 13 13 11 9 nan
nan 8 7 7 7 12 19 22 16 9 5 4 4 5 6 6 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 6 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 3 3 4 3 3 2 2 2 2 2 3 5 6 6 4 2 2 4 6 6 4 2 2 2 2 2 2 2 3 4 6 7 7 7 6 5 5 6 9 13 15 14 12 10 nan
nan 10 7 7 7 10 18 22 17 10 5 4 4 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 6 4 4 3 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 2 2 1 1 1 2 2 2 2 2 2 1 1 1 2 3 5 6 6 6 5 5 7 9 8 5 2 2 2 2 2 2 2 3 4 5 6 7 6 6 5 5 6 10 14 15 13 11 10 nan
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nan 7 6 6 6 8 15 20 19 14 9 6 6 6 6 5 6 6 6 6 5 5 4 4 4 4 4 4 3 4 5 5 6 6 5 4 4 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 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 9 8 8 7 6 5 5 4 5 5 6 7 7 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 5 7 10 9 7 5 6 6 7 8 10 11 9 7 5 4 4 5 5 5 5 6 6 7 7 7 7 7 8 8 7 6 6 6 7 nan
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nan 12 11 11 10 10 10 9 9 9 10 11 12 12 12 10 9 9 10 11 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 10 11 11 12 11 10 9 8 8 8 8 8 8 9 10 10 9 8 9 10 11 11 11 10 10 10 9 9 8 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 6 6 7 8 8 9 9 8 8 7 7 6 6 6 6 7 8 8 9 7 6 6 5 6 6 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 6 6 5 5 5 6 8 12 18 21 23 23 21 19 19 19 18 16 14 13 12 nan
nan 11 12 12 11 11 10 10 9 9 9 9 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 9 8 8 9 9 10 10 10 9 8 7 7 8 10 10 10 10 9 9 8 8 8 8 8 9 10 11 10 8 8 8 10 11 11 11 11 10 10 9 9 8 7 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 6 5 5 5 6 6 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 9 9 8 9 9 9 9 9 9 9 9 9 8 8 7 6 5 6 6 5 7 10 15 20 22 23 24 24 24 24 22 18 15 13 nan
nan 11 12 12 12 12 11 11 11 10 9 9 9 10 11 13 13 13 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 9 8 7 8 9 9 8 9 9 9 7 5 5 6 8 9 9 9 8 9 9 9 9 9 9 10 11 11 9 8 8 9 10 10 10 10 10 10 10 9 9 7 6 6 6 7 7 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 6 7 8 7 6 6 6 9 13 16 18 20 22 24 26 25 21 17 15 nan
nan 11 11 12 12 12 11 11 11 11 10 9 9 10 12 13 13 12 12 12 13 13 13 13 13 12 10 9 9 8 7 7 8 8 6 6 6 7 8 8 8 8 9 9 7 6 5 5 7 8 8 8 8 9 9 10 9 10 10 11 11 10 8 7 7 9 10 10 9 10 10 10 10 9 9 8 7 7 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 7 6 6 5 5 5 6 7 9 9 9 9 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 9 9 9 9 9 9 9 8 7 8 9 9 8 7 6 6 8 10 11 12 14 18 23 25 24 21 18 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 11 10 11 12 13 13 12 12 11 11 10 9 8 7 6 6 6 5 5 6 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 8 8 9 9 10 10 11 11 10 10 10 8 7 7 8 9 9 9 10 10 10 9 9 9 8 8 7 7 7 8 8 8 8 9 9 8 7 6 6 6 6 6 5 6 6 6 6 6 6 7 8 7 7 7 7 7 6 5 5 5 5 6 7 7 8 8 9 10 10 10 10 9 8 7 7 8 8 9 9 9 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 9 9 9 8 8 8 8 9 10 10 10 9 7 6 6 6 7 7 8 12 17 23 25 25 22 nan
nan 11 10 10 10 10 10 9 9 9 10 10 11 12 12 11 10 9 10 12 12 12 11 11 10 10 9 8 7 6 5 5 4 4 5 7 7 7 6 6 5 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 11 11 10 9 9 10 9 7 7 8 9 9 10 10 10 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 5 5 6 7 8 8 8 8 8 8 8 7 7 6 5 5 4 5 6 8 9 10 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 10 10 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 6 6 6 6 7 7 9 13 18 23 26 26 nan
nan 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 13 13 12 11 11 10 10 9 8 7 6 5 4 3 4 6 7 7 7 6 6 6 6 7 8 8 8 9 10 9 9 9 9 9 9 9 9 10 11 10 10 9 10 9 8 8 9 9 9 9 9 8 9 9 9 8 7 7 6 6 7 8 9 10 10 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 8 9 10 9 8 8 9 10 9 8 7 5 4 4 6 7 8 10 11 12 12 10 8 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 10 10 11 11 10 10 10 10 10 10 10 9 9 8 8 7 6 7 7 8 8 10 12 17 22 26 nan
nan 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 12 13 15 14 14 13 12 12 11 10 10 9 8 7 7 6 5 5 6 8 8 8 7 7 7 8 9 9 9 9 9 10 10 10 9 10 10 10 9 9 10 10 10 10 10 10 8 8 9 9 10 9 8 7 7 8 9 8 8 7 7 7 6 7 8 9 9 9 8 7 7 8 8 7 7 7 8 7 7 7 8 8 8 8 8 8 9 10 10 9 8 9 10 10 10 9 7 5 5 6 6 7 9 12 14 12 10 7 7 6 6 5 6 6 7 7 8 8 9 9 10 11 11 11 10 9 7 6 6 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 8 9 10 10 10 10 11 11 11 10 10 9 9 9 9 8 7 7 7 7 7 7 8 11 15 21 nan
nan 8 9 8 8 7 7 8 9 10 9 8 7 8 9 10 12 15 16 15 14 13 13 12 11 11 12 11 11 10 9 9 8 7 8 9 9 9 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 10 9 9 9 9 8 8 9 9 9 8 7 6 7 8 8 8 7 7 8 7 6 6 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 8 7 8 8 8 8 8 8 7 8 9 10 10 9 7 6 6 6 7 9 11 12 10 8 6 6 5 5 5 5 5 6 6 6 7 8 9 9 10 10 10 10 9 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 6 6 6 7 8 8 9 9 10 11 11 10 10 10 10 10 9 8 8 8 7 7 7 7 7 8 10 13 nan
nan 7 8 8 8 7 8 9 10 11 10 8 7 7 8 10 12 14 15 15 15 13 12 12 11 12 12 12 12 11 11 11 12 12 11 11 11 11 12 12 11 10 9 9 9 9 9 8 9 9 10 10 10 11 11 12 12 10 9 8 8 8 7 8 9 9 9 8 6 7 8 9 8 8 8 8 8 7 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 8 9 10 11 10 10 9 8 7 7 7 7 7 6 5 6 7 8 9 9 8 7 7 7 7 8 9 8 7 5 5 5 5 5 6 6 7 7 6 6 6 7 8 8 8 9 9 10 10 10 9 9 8 9 9 10 10 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 10 11 11 11 10 10 9 9 8 8 8 8 8 7 7 6 6 6 7 8 nan
nan 7 8 8 8 8 8 9 10 11 12 10 7 6 7 9 11 12 14 15 15 14 12 11 11 11 11 10 10 10 11 12 14 15 14 13 13 14 14 14 12 10 8 8 8 9 8 8 9 9 10 10 10 11 11 11 11 11 10 9 8 7 7 9 10 9 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 10 11 11 10 9 9 8 8 8 7 7 6 5 4 4 5 6 7 7 8 8 9 9 9 9 8 7 5 4 3 3 5 6 7 8 8 8 8 8 8 8 7 7 7 8 9 10 11 12 12 11 10 10 10 10 10 10 10 9 9 9 9 10 10 9 8 7 7 7 8 8 8 9 9 10 11 11 10 9 8 7 8 9 9 8 7 7 6 6 6 6 7 nan
nan 8 9 9 9 9 9 9 9 11 12 10 7 6 7 8 10 11 12 14 15 13 11 11 11 11 10 9 9 9 10 11 13 14 14 14 14 14 13 13 11 10 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 9 10 9 9 8 8 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 8 8 8 8 9 10 9 9 9 10 10 10 9 9 7 5 4 4 4 5 5 6 7 8 9 11 11 11 10 9 7 4 3 4 5 7 7 8 8 8 8 9 9 9 8 7 7 7 8 9 11 13 14 13 12 11 11 11 11 11 11 10 10 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 10 11 11 11 9 8 8 9 9 9 8 8 7 7 6 6 6 nan
nan 9 9 9 9 9 9 8 8 9 10 9 7 6 7 8 9 10 11 12 12 11 11 11 12 12 10 9 8 9 9 9 10 11 12 12 12 11 11 11 11 10 10 10 11 10 10 9 9 9 8 8 8 9 9 9 9 10 10 11 10 9 9 10 10 10 9 9 8 9 9 10 9 8 8 7 7 8 8 8 7 6 6 7 7 8 8 9 9 10 9 9 8 8 7 7 8 8 9 9 10 11 11 11 10 9 7 6 5 5 5 5 5 5 6 8 9 10 11 12 12 10 8 6 6 6 7 7 7 7 8 9 9 10 9 8 7 7 7 8 9 10 12 13 14 14 13 12 11 11 10 10 10 10 9 9 10 11 11 11 10 9 9 9 9 8 8 8 8 9 10 11 11 11 10 10 10 10 9 9 9 9 8 7 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 7 6 7 7 8 9 10 10 11 11 11 11 12 12 12 10 9 8 9 9 9 9 10 11 11 10 10 10 10 10 10 10 11 11 10 10 9 8 8 7 7 7 7 8 9 10 10 11 12 11 11 11 11 10 10 9 9 8 9 9 10 9 9 8 8 8 9 9 9 8 8 7 8 8 7 8 8 9 9 10 9 9 8 8 7 7 7 8 9 10 10 10 10 10 10 9 9 8 6 5 5 5 5 6 6 7 8 10 11 11 11 10 9 8 7 7 6 6 7 8 9 10 10 10 9 9 8 8 8 8 9 10 11 13 14 14 14 13 11 10 10 9 10 10 10 11 11 12 11 11 10 10 10 9 9 8 8 8 8 8 9 10 11 12 12 11 10 10 9 9 9 9 8 7 6 nan
nan 6 6 6 7 7 8 8 8 7 7 7 7 8 8 9 9 10 10 11 11 11 12 11 11 10 10 10 9 9 10 11 10 9 10 10 9 9 9 9 8 9 9 9 9 9 8 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 12 12 11 10 9 9 9 9 10 9 9 8 8 8 8 9 9 10 10 10 9 8 7 7 7 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 7 6 5 5 5 6 6 7 8 9 9 10 11 11 10 8 7 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 9 10 12 13 13 13 12 11 10 9 9 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 9 10 11 11 11 11 10 9 9 9 9 8 7 6 nan
nan 5 5 5 5 6 6 7 7 6 6 7 8 8 9 9 10 11 11 11 12 11 11 9 9 9 11 12 12 12 12 12 10 9 9 9 9 9 9 8 7 7 8 8 8 8 7 7 7 8 7 7 7 8 9 10 10 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 9 9 8 8 8 9 10 10 11 11 10 9 8 8 8 8 8 9 10 10 9 8 8 8 9 9 9 9 9 9 9 10 11 11 11 10 9 9 8 7 6 5 5 5 6 7 7 8 9 10 12 12 11 9 8 7 6 5 5 5 6 6 6 6 7 7 8 8 7 7 7 7 8 9 9 10 11 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 8 7 nan
nan 5 5 5 5 6 6 5 5 5 6 7 8 9 9 9 10 10 11 11 11 11 9 8 7 10 13 14 15 15 14 13 12 11 11 10 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 9 9 9 9 11 12 12 12 12 11 11 11 11 11 10 10 10 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 11 12 12 11 10 10 10 7 5 5 5 5 6 7 7 7 9 10 12 12 11 10 10 9 8 5 4 3 3 3 3 4 5 6 6 6 6 5 5 5 6 7 6 7 8 10 11 12 11 10 10 10 11 11 9 8 7 7 7 8 8 9 9 9 10 10 11 11 11 10 10 9 10 10 11 10 10 9 9 9 9 8 nan
nan 5 6 6 7 7 6 6 6 6 7 7 8 9 9 10 10 10 9 10 10 10 9 8 8 10 13 14 15 15 14 14 13 14 14 14 13 12 12 11 11 11 10 10 10 10 9 9 9 8 7 7 7 7 8 8 8 8 8 7 8 9 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 11 11 9 6 4 5 6 7 7 7 7 8 9 11 11 11 11 11 10 9 6 4 4 3 2 2 2 3 3 4 4 4 4 4 5 7 6 6 6 8 9 10 11 11 11 11 11 12 11 10 8 7 7 7 7 7 8 9 9 9 9 10 10 11 10 10 10 9 10 10 10 10 9 9 9 9 9 nan
nan 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 10 10 10 9 8 10 12 14 14 13 12 12 11 13 15 15 15 14 13 12 12 12 11 10 9 9 8 7 7 6 6 5 4 5 6 7 7 7 8 8 8 9 10 11 12 12 12 12 12 12 12 11 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 12 11 9 6 6 7 7 8 8 7 7 8 9 10 11 12 12 12 9 7 6 6 5 4 3 3 3 4 4 4 5 6 7 7 7 7 7 7 8 9 9 9 10 10 11 12 12 12 10 9 9 8 7 6 7 7 7 7 7 7 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 nan
nan 7 8 9 9 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 9 9 10 13 15 14 13 11 9 9 10 12 13 13 13 12 11 11 10 10 9 8 7 6 6 6 5 5 5 5 4 4 5 6 7 7 8 9 9 9 10 10 11 11 12 12 12 12 12 12 13 13 13 13 12 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 8 8 9 10 11 11 11 11 11 10 10 10 9 10 11 12 12 10 9 9 8 8 7 7 7 8 8 9 11 13 14 13 10 8 7 7 7 6 5 5 5 6 6 6 7 7 7 8 7 7 6 7 7 7 8 8 9 10 11 12 12 12 11 11 11 10 8 7 7 7 6 6 6 6 7 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 nan
nan 8 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 9 9 9 9 9 11 14 15 14 12 10 8 7 7 8 10 11 10 10 9 9 8 8 8 7 6 5 5 4 5 6 7 8 7 5 5 6 7 7 7 8 8 8 8 9 9 10 10 10 11 11 11 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 12 11 11 10 10 10 9 9 8 8 9 11 12 13 13 13 12 12 11 10 8 8 9 11 13 13 12 11 10 9 8 8 8 9 10 10 11 12 14 14 12 10 9 8 7 6 5 5 5 6 6 6 6 5 6 7 7 7 7 6 6 6 7 7 8 8 10 11 12 12 11 11 12 11 10 9 9 8 7 6 6 6 6 7 8 8 9 9 10 11 11 11 12 12 11 11 10 10 nan
nan 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 8 7 7 8 10 11 14 16 15 12 10 8 7 6 7 8 9 9 9 8 8 7 7 6 6 5 4 5 6 7 9 11 11 9 7 7 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 10 10 10 9 9 10 11 12 12 12 13 13 12 11 10 8 7 8 9 11 13 13 13 11 10 10 10 10 11 11 11 11 11 12 13 14 13 12 11 10 9 8 7 6 6 6 5 3 2 3 4 6 8 8 7 7 6 5 6 6 7 7 8 10 11 12 12 12 12 12 12 12 11 11 11 10 8 8 7 6 6 6 7 8 9 10 10 10 11 12 12 12 11 10 nan
nan 9 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 7 7 8 10 11 14 15 14 12 10 9 7 7 7 8 9 9 9 8 8 8 7 6 6 5 5 7 10 12 13 13 12 10 9 9 8 6 7 8 9 9 8 7 7 7 7 7 8 8 8 8 8 9 11 12 13 13 13 13 13 14 14 14 14 13 12 12 12 12 12 12 11 11 10 10 10 11 12 11 10 10 11 11 11 10 9 8 9 10 11 12 13 13 13 11 10 10 11 12 12 12 12 11 11 10 11 12 13 13 13 13 13 12 11 10 10 10 8 6 4 3 5 7 8 9 9 8 6 5 4 5 5 6 7 8 9 10 11 12 12 12 12 12 13 13 13 13 12 11 9 8 6 6 6 7 8 9 9 9 10 11 12 12 12 11 nan
nan 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 10 10 12 13 13 12 11 10 9 8 8 8 9 9 9 8 8 8 8 7 7 7 7 10 12 13 14 13 12 12 12 10 9 8 9 10 11 10 8 7 7 7 7 7 8 8 8 7 7 7 9 10 12 12 13 13 13 13 13 14 13 13 12 12 13 13 13 13 12 11 11 10 11 12 11 10 9 9 9 9 10 10 10 11 12 13 12 11 11 11 12 11 10 10 10 11 11 11 11 10 9 9 9 10 11 12 13 14 14 14 14 14 15 15 15 13 11 9 8 8 9 9 9 8 7 5 5 4 5 6 7 7 7 8 9 10 10 11 12 12 12 13 13 13 13 13 12 11 9 8 7 7 7 8 8 8 8 9 10 11 11 11 nan
nan 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 9 9 10 11 11 11 11 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 8 7 7 6 7 9 10 11 12 12 11 11 12 12 12 12 11 12 14 15 14 13 12 11 10 10 11 11 10 9 9 9 9 10 10 11 11 12 13 12 10 9 8 9 11 11 11 10 10 10 10 10 10 9 8 8 9 10 10 11 12 12 12 13 13 15 16 16 17 18 18 15 12 10 9 9 9 9 8 7 6 5 5 5 6 6 6 6 6 7 8 9 10 11 11 12 12 12 12 13 13 13 12 10 9 8 7 7 8 8 7 8 9 10 11 11 nan
nan 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 10 9 9 10 11 12 11 11 11 11 11 11 11 10 10 9 8 7 6 6 7 9 11 12 11 10 10 10 10 10 10 10 12 13 14 13 13 12 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 10 9 8 7 8 9 10 11 11 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 14 14 15 17 18 17 15 12 10 9 8 8 8 8 7 6 6 6 6 6 5 4 3 4 5 7 8 9 10 11 11 11 11 12 12 12 12 11 10 9 9 8 8 8 8 8 9 9 10 11 nan
nan 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 11 10 9 9 9 10 10 11 12 12 13 13 14 13 12 11 10 10 10 10 10 9 9 9 10 11 12 12 12 11 11 11 11 11 10 9 8 7 6 6 6 8 10 11 11 11 10 9 8 8 8 9 10 11 12 11 11 10 10 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 8 8 8 8 10 11 11 11 11 10 10 10 10 10 10 11 11 10 9 9 9 10 11 12 12 11 11 11 12 12 13 14 15 14 13 11 10 8 8 8 8 7 7 6 6 5 5 5 3 3 3 4 5 7 8 9 9 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 8 9 9 9 10 nan
nan 10 11 11 11 11 10 10 10 11 10 10 10 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 9 10 11 11 11 11 10 9 9 8 9 10 11 11 12 12 13 13 13 12 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 9 9 8 6 5 6 7 9 10 11 11 10 9 8 7 8 8 9 10 10 10 8 8 9 9 10 10 11 10 10 10 11 10 10 10 11 11 11 10 10 9 9 9 10 11 11 11 11 11 10 10 9 9 8 8 7 7 7 6 7 8 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 8 7 6 5 5 5 6 5 5 4 4 5 6 7 8 8 9 10 11 11 11 10 11 11 11 11 10 10 10 9 9 9 9 9 8 9 nan
nan 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 9 8 7 7 9 11 12 13 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 5 6 7 9 10 11 11 9 8 7 8 8 9 9 9 9 8 7 8 9 9 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 9 8 7 7 6 6 6 5 5 6 6 7 7 8 7 7 7 7 7 7 7 7 8 8 8 9 10 11 11 11 10 10 9 9 8 8 8 8 7 7 6 6 6 7 7 7 8 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
38 25 23 34 45 56 103 375 832 1206 1496 1803 2013 2074 1997 1812 1674 1581 1419 1359 1382 1438 1533 1611 1557 1435 1388 1327 1137 919 762 637 526 415 332 262 187 129 84 55 41 35 29 25 23 20 14 10 9 7 7 6 7 8 10 9 12 16 20 22 22 20 18 16 14 12 11 10 10 10 12 15 23 31 35 37 39 41 46 50 51 52 48 41 28 20 18 15 14 14 15 15 13 8 3 1 0 1 4 6 7 9 9 11 12 14 20 25 32 37 40 43 45 46 45 48 54 59 64 68 68 67 68 68 64 59 51 41 36 34 32 31 29 29 30 28 26 25 26 26 26 24 19 13 10 8 8 8 9 9 7 9 10 8 7 5 7 9 13 21 27 30 34 43 51 59 68 80 73 83 95 112 148 167 161 141 117 99 85 61 44 47 63 93 111 101 89
57 39 32 41 51 57 124 449 817 1067 1321 1625 1873 2009 1980 1839 1689 1586 1475 1470 1521 1556 1554 1536 1476 1395 1352 1281 1113 941 834 726 608 490 398 328 244 153 93 57 35 27 26 25 23 16 8 8 8 7 6 7 7 8 11 14 18 22 23 24 24 24 24 20 15 13 12 12 11 11 12 15 24 32 35 37 39 42 47 51 53 51 44 36 28 18 17 16 15 15 15 15 15 11 5 2 0 1 4 6 7 8 9 9 11 15 20 22 29 35 38 40 41 42 43 46 51 57 63 67 66 64 62 63 61 55 46 38 33 30 30 30 29 28 28 26 25 26 28 29 29 30 30 27 19 9 9 12 15 16 17 21 27 34 34 30 17 9 13 22 30 33 38 48 56 66 77 90 85 90 98 120 149 162 156 140 121 109 96 51 41 49 66 113 158 156 144
69 51 40 46 53 61 109 430 772 962 1151 1429 1706 1895 1949 1865 1698 1561 1537 1591 1651 1655 1578 1485 1389 1317 1277 1206 1082 955 855 778 664 578 477 412 309 177 100 61 39 30 27 25 22 15 7 4 5 6 6 6 7 11 13 18 22 22 22 25 28 31 30 26 18 14 14 13 12 12 15 20 27 32 34 36 38 43 49 52 51 47 41 36 31 19 15 14 15 16 15 15 16 11 5 2 1 1 4 7 8 8 8 9 9 14 19 22 28 34 38 38 38 39 40 43 47 54 59 64 62 62 61 59 56 49 41 35 29 25 26 29 29 29 27 26 27 28 29 30 32 34 37 35 22 8 10 14 13 15 19 24 30 42 66 77 51 23 21 28 36 35 38 50 56 64 76 71 61 63 80 104 126 138 139 132 117 111 102 37 50 58 84 129 192 212 194
68 56 45 48 53 69 126 392 715 862 970 1217 1528 1765 1874 1829 1641 1453 1372 1500 1669 1652 1567 1477 1355 1271 1231 1164 1058 955 861 775 720 669 556 459 340 204 115 69 43 32 27 25 19 11 5 3 4 6 5 5 8 11 12 16 22 24 28 33 35 35 33 30 25 17 18 15 17 19 23 28 31 33 34 36 38 42 47 50 48 44 40 35 30 23 17 15 15 16 16 16 16 11 5 2 2 1 4 8 9 9 9 9 8 13 19 23 28 33 35 34 35 36 36 39 43 49 55 59 60 60 59 56 52 44 35 31 27 23 21 26 30 30 28 28 29 30 30 31 34 37 37 30 14 3 1 2 4 7 11 15 22 29 51 71 70 61 56 58 63 46 38 47 53 58 55 51 47 52 64 79 97 116 128 129 125 124 131 86 78 92 156 250 295 280 241
63 53 45 49 54 75 138 344 660 780 831 1052 1378 1641 1786 1789 1632 1477 1435 1552 1704 1664 1566 1477 1363 1290 1209 1108 1015 920 828 773 793 749 616 479 364 242 138 77 50 37 29 24 17 9 4 3 3 5 4 5 9 10 12 14 23 30 32 34 35 35 34 32 29 24 22 21 25 27 30 33 34 33 33 34 36 40 45 48 47 43 39 35 30 28 24 20 18 19 20 20 17 11 5 2 2 3 5 8 9 9 9 9 8 12 18 22 25 29 31 29 32 34 35 37 39 44 51 55 57 58 59 57 49 37 29 27 25 22 21 26 30 32 30 29 29 29 30 32 34 34 26 14 5 0 0 0 1 3 7 10 16 22 31 42 56 68 82 92 102 71 44 42 47 47 45 46 45 45 47 53 74 104 123 133 132 121 144 149 137 156 234 314 346 336 297
55 48 42 52 60 86 150 302 628 726 742 951 1277 1561 1754 1818 1809 1832 1741 1819 1772 1704 1588 1491 1351 1271 1176 1049 942 864 828 821 851 800 649 493 360 249 149 82 54 42 31 22 16 10 5 2 4 5 4 6 10 11 11 12 21 29 32 32 33 33 33 32 32 30 28 28 30 33 34 35 34 32 33 34 35 37 40 44 45 42 38 34 31 29 27 25 23 22 23 24 20 11 4 2 1 4 6 7 8 9 9 9 9 10 16 21 23 25 28 26 29 31 33 34 36 40 45 52 54 57 59 58 48 32 25 24 19 16 17 20 26 31 30 28 28 27 28 29 28 23 15 6 0 0 0 0 0 2 5 9 14 22 26 25 32 44 72 88 112 102 68 45 41 44 45 43 41 39 38 43 64 101 121 140 145 141 148 162 151 206 323 383 410 413 389
42 40 41 61 72 103 165 279 619 690 682 888 1216 1494 1686 1834 1944 2047 2061 1981 1802 1675 1545 1432 1323 1234 1146 1060 995 945 907 900 905 838 684 533 390 268 153 82 56 40 28 22 15 9 3 2 3 4 3 7 10 11 11 15 21 26 30 31 31 31 33 33 33 34 34 34 36 37 36 35 34 34 35 35 36 37 40 42 43 41 37 33 31 30 28 25 22 21 22 24 22 12 4 3 4 5 7 8 8 9 9 9 9 9 12 18 21 22 24 26 27 29 32 33 34 38 41 47 52 55 59 57 47 30 22 20 14 11 14 17 19 27 31 30 28 26 24 20 12 9 5 6 0 0 0 0 0 1 4 9 14 21 25 22 21 26 53 77 97 112 108 68 41 40 41 42 42 40 41 45 57 106 128 148 157 155 155 178 178 218 370 431 525 580 531
29 33 44 75 89 124 188 306 619 677 683 858 1121 1357 1566 1791 1984 2187 2213 1966 1707 1580 1494 1381 1260 1163 1098 1045 987 976 1009 970 950 883 727 595 433 294 156 80 56 40 29 22 15 8 3 2 3 3 4 8 10 10 12 17 23 26 29 30 28 29 32 34 34 36 37 38 39 39 37 34 34 36 37 37 38 40 41 41 41 40 37 34 32 31 29 27 24 22 22 23 21 12 5 3 6 6 8 8 8 7 7 8 10 11 11 16 19 21 23 25 26 29 31 32 33 37 39 43 49 54 57 55 45 30 20 16 14 9 10 14 18 23 28 29 27 25 20 10 2 1 2 2 0 0 0 0 0 0 3 7 13 17 13 4 5 14 32 59 74 120 138 90 46 38 40 45 49 46 46 53 66 99 130 160 178 177 167 191 229 262 338 419 606 818 713
35 45 66 90 112 152 211 391 595 632 658 802 1023 1239 1444 1675 1883 2016 1972 1743 1519 1422 1370 1270 1155 1097 1088 1038 937 950 1079 1032 997 934 773 636 452 297 161 90 63 44 31 23 16 9 3 1 2 3 5 7 9 9 13 20 24 25 26 27 27 28 32 34 34 36 38 37 37 37 36 35 34 35 36 37 38 38 39 39 38 38 39 36 33 31 30 28 26 25 24 23 21 14 7 4 5 6 8 9 10 11 14 16 17 16 16 17 19 21 23 24 26 29 30 31 32 35 37 40 47 53 56 54 45 30 20 15 14 9 8 11 16 21 24 25 22 20 15 4 0 0 1 0 0 0 1 2 2 1 1 5 12 18 16 5 3 6 17 36 50 97 118 82 49 42 43 47 53 49 47 54 71 97 123 151 194 221 208 203 231 269 295 305 418 740 712
60 74 93 112 135 177 236 389 503 565 647 769 954 1172 1375 1569 1719 1762 1639 1475 1344 1271 1249 1165 1096 1076 1088 991 858 925 1099 1097 1057 971 792 614 436 286 167 98 65 46 33 26 20 12 5 2 3 3 5 8 9 9 15 20 24 25 26 27 28 29 32 35 35 35 35 34 33 33 33 33 33 34 35 37 38 37 38 36 34 34 35 33 32 30 29 28 28 27 25 24 22 17 11 8 8 10 11 12 13 14 17 22 25 23 20 20 21 22 24 24 27 29 30 31 32 33 36 41 47 53 55 55 48 34 23 17 12 7 7 12 17 18 18 16 12 11 6 1 0 0 0 0 1 3 6 8 7 4 5 11 15 17 11 2 0 1 8 18 29 55 81 77 52 44 43 48 50 49 51 60 71 86 93 101 148 215 224 196 189 211 221 204 250 384 462
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