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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 38 36 30 23 19 17 17 19 20 19 18 17 15 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 15 15 14 11 9 8 7 7 8 11 14 17 17 17 16 16 16 15 15 14 14 13 13 13 13 12 11 10 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 nan
nan 36 30 22 16 13 13 14 15 15 15 14 13 11 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 12 10 8 6 5 5 8 12 17 21 23 22 22 21 19 18 17 16 15 13 13 12 12 11 10 9 8 9 9 9 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 11 10 10 9 8 8 8 9 9 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 29 22 16 11 10 10 11 12 12 12 12 11 9 7 7 8 9 9 9 9 8 7 6 6 6 7 7 7 7 8 7 7 6 6 6 8 9 11 11 10 8 6 5 5 5 7 11 17 22 24 24 23 22 20 18 16 14 13 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 10 11 11 10 10 9 9 8 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 22 17 13 10 8 9 9 10 11 11 12 11 9 7 7 7 8 8 8 8 7 6 5 4 4 5 5 6 6 7 6 5 5 4 5 6 7 8 8 7 6 6 7 8 9 8 10 15 19 21 22 21 20 18 16 14 12 10 9 8 7 8 8 9 9 10 10 10 10 10 10 10 9 9 10 10 9 10 10 10 10 10 10 10 10 12 12 12 11 10 9 8 8 9 9 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 nan
nan 16 15 13 11 10 8 8 9 10 10 11 10 9 7 6 6 6 7 8 8 7 6 5 5 5 5 6 6 7 7 7 6 6 6 5 5 6 6 5 5 4 6 8 11 11 9 10 13 15 17 17 17 16 15 14 12 11 9 8 7 7 7 8 9 10 10 11 11 11 11 10 9 9 9 9 9 10 10 11 11 11 10 10 11 12 13 13 12 11 10 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 9 9 10 10 nan
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nan 8 7 6 6 5 4 2 3 6 10 13 13 11 9 7 6 6 9 12 17 20 22 20 17 12 8 6 6 6 5 3 3 6 14 23 27 28 27 23 19 15 12 10 8 7 7 7 5 2 0 -1 0 2 5 7 11 15 18 19 19 17 13 10 10 10 10 11 11 12 12 12 11 11 11 11 10 10 9 9 10 11 12 12 12 11 11 11 11 10 10 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 12 11 11 10 9 9 8 9 9 9 9 9 9 9 9 10 11 11 11 9 9 9 10 10 10 10 11 12 nan
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nan 9 8 7 6 6 6 8 11 12 10 8 7 8 10 12 14 15 16 16 15 13 11 8 5 3 4 5 6 7 7 8 12 16 18 20 22 22 23 22 20 16 14 12 11 10 8 6 5 6 8 10 13 14 18 24 28 30 28 24 19 14 12 11 11 11 10 9 9 9 10 10 11 12 12 12 12 12 13 13 12 11 9 8 7 8 9 9 10 10 10 9 10 11 11 12 11 10 10 9 9 9 8 8 7 8 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 10 11 11 11 11 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 9 9 10 11 11 11 11 11 11 10 11 11 11 12 nan
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nan 7 8 8 7 7 6 8 11 14 17 17 14 10 7 4 4 5 7 8 8 10 12 14 15 14 12 11 10 9 10 11 12 14 15 14 13 11 11 10 11 12 15 16 15 15 13 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 8 7 8 8 8 8 8 9 10 11 12 13 11 8 6 5 6 7 9 9 10 11 11 11 11 11 12 12 13 12 12 11 10 9 8 7 7 8 8 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 12 12 11 10 10 10 9 9 10 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 11 12 12 11 11 12 14 16 16 16 13 9 6 4 5 8 10 12 12 14 15 16 16 15 13 12 12 11 11 11 11 12 13 14 13 13 12 12 12 13 14 14 14 13 12 12 11 10 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 10 9 8 8 8 8 8 9 9 10 11 12 12 12 8 5 4 4 7 8 9 9 9 10 10 11 11 12 13 14 13 12 11 11 10 9 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 9 9 8 9 9 10 10 9 10 10 10 10 10 10 10 10 nan
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nan 15 13 12 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 11 11 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 11 11 12 11 11 11 11 10 10 9 9 10 10 10 10 11 10 10 9 9 10 10 11 12 12 13 11 10 9 8 9 10 10 10 10 10 10 10 9 7 6 6 8 12 15 18 19 18 16 13 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 10 10 11 13 16 18 17 14 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
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nan 15 15 14 13 13 13 13 13 12 12 12 12 12 13 13 14 13 13 13 12 11 10 10 10 10 11 11 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 9 8 7 7 8 9 9 10 10 10 10 10 10 9 7 5 5 6 9 13 16 20 19 16 13 10 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 11 10 10 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 nan
nan 13 13 13 13 14 14 14 13 13 12 12 11 11 12 12 12 12 13 13 12 12 11 10 10 9 9 10 11 11 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 12 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 12 12 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 13 14 14 14 13 12 11 11 11 11 11 10 9 8 7 8 8 9 10 10 10 10 10 11 11 10 8 6 5 6 8 10 15 19 19 16 13 10 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 10 9 8 8 9 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 11 nan
nan 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 12 12 13 13 13 12 11 11 10 9 9 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 12 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 12 13 14 16 16 16 14 13 11 11 11 12 12 12 11 10 9 9 9 10 10 10 10 9 10 11 11 11 9 7 6 5 6 8 14 19 18 16 13 10 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 10 8 5 4 4 7 10 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 11 11 nan
nan 10 10 11 11 11 12 11 11 11 10 10 9 9 10 10 11 12 13 13 14 14 13 13 12 11 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 11 10 9 9 8 8 9 10 11 13 15 17 17 15 12 11 10 10 11 12 11 11 11 11 11 10 10 10 9 9 9 9 10 11 11 11 10 7 5 4 6 9 15 18 16 14 11 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 8 6 5 7 11 15 16 15 13 12 11 11 11 11 11 12 12 11 11 11 10 10 10 9 10 10 10 10 11 11 12 12 12 11 11 10 10 10 11 11 12 nan
nan 10 11 11 11 11 11 11 10 9 8 8 7 7 8 9 10 11 12 13 13 14 14 13 13 13 12 12 11 11 10 10 10 11 11 11 11 12 12 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 13 13 13 12 11 10 9 8 8 8 8 9 10 11 12 14 15 15 12 9 9 9 11 11 11 10 10 10 11 11 10 10 9 9 9 9 10 10 11 12 12 9 6 3 2 5 12 17 17 15 12 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 10 13 16 19 18 16 13 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 11 11 11 11 12 12 11 11 10 10 10 10 11 12 12 nan
nan 11 11 11 11 11 11 10 10 9 8 8 8 8 8 9 9 10 11 11 12 12 12 13 13 13 13 13 12 11 11 11 11 11 11 12 11 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 11 11 12 12 12 11 11 10 10 10 11 11 12 11 11 11 12 12 12 12 12 11 10 9 8 8 8 8 8 9 9 9 10 12 13 12 10 9 9 10 11 12 11 11 10 11 11 11 11 10 10 9 9 10 10 10 11 12 12 10 7 4 3 6 13 17 18 16 13 10 9 10 10 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 12 14 15 15 14 13 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 nan
nan 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 10 10 11 12 12 12 11 11 11 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 9 11 12 13 12 12 12 12 12 11 10 9 9 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 9 7 7 10 13 15 15 14 12 10 10 10 10 11 11 11 10 10 10 10 11 11 11 12 12 11 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 10 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 10 9 9 9 10 10 11 11 11 10 9 9 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 10 10 9 9 9 10 11 12 12 12 11 11 11 11 10 10 10 10 10 11 10 10 10 9 9 9 10 10 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 9 8 7 7 7 8 10 13 14 14 14 13 12 11 10 9 8 7 7 8 9 10 11 11 10 10 10 10 11 11 9 8 7 7 9 11 13 13 13 13 12 11 11 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 11 11 11 11 nan
nan 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 12 11 11 12 12 13 14 14 14 14 14 14 13 13 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 10 8 7 6 7 9 12 14 14 13 11 9 8 8 8 7 7 7 7 7 8 9 9 10 9 9 9 11 12 12 9 6 3 3 7 13 18 17 15 13 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 12 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 11 11 11 nan
nan 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 9 9 9 9 10 10 10 11 11 12 13 13 14 14 14 15 15 14 14 13 12 11 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 13 14 15 15 15 14 11 9 8 7 8 10 12 13 13 12 10 8 7 7 7 8 8 9 10 10 9 10 9 9 8 8 9 12 14 13 8 4 1 3 8 15 20 20 18 14 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 13 12 12 12 12 11 11 nan
nan 10 9 9 8 9 8 9 9 10 10 10 9 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 14 14 14 14 15 15 14 14 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 12 13 14 15 16 15 12 10 9 9 10 11 12 12 12 12 10 9 9 9 9 10 10 10 11 11 11 11 10 8 7 7 9 12 14 11 6 3 2 7 14 18 21 19 17 13 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 12 12 13 12 12 12 12 11 11 11 nan
nan 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 14 15 15 15 15 14 14 13 12 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 11 13 13 13 12 11 11 11 12 12 12 11 12 11 10 10 10 10 10 11 10 10 10 10 11 11 9 7 5 5 8 11 11 9 6 5 6 12 17 20 20 17 14 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 nan
nan 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 14 15 15 16 16 15 14 13 12 12 11 11 10 10 10 10 10 10 10 10 11 10 10 10 11 10 11 10 10 10 10 9 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 8 6 4 4 6 9 9 8 8 8 11 16 19 20 20 17 13 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 11 11 10 10 nan
nan 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 14 14 14 15 15 15 14 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 9 10 11 11 11 10 10 10 11 12 12 13 12 11 11 11 11 11 11 10 9 7 5 5 5 7 8 8 9 9 11 14 18 20 21 19 15 12 11 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 11 11 10 10 11 11 11 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 nan
nan 13 13 12 12 12 12 12 12 12 11 11 10 10 11 11 11 12 12 11 11 11 11 12 12 13 14 14 14 14 14 14 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 11 11 10 10 9 8 8 8 8 7 7 8 9 10 10 10 9 8 9 10 12 14 14 13 12 11 10 11 11 10 8 7 6 6 6 7 8 8 8 9 10 13 17 20 21 20 16 12 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 11 11 12 12 11 11 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 13 13 13 13 12 12 12 11 11 10 10 10 10 11 11 12 12 11 11 11 10 11 11 12 13 13 14 14 14 13 12 12 12 12 12 11 12 12 12 12 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 12 11 10 10 9 8 8 8 9 10 10 10 10 10 9 9 10 11 13 13 12 11 10 10 10 9 7 6 6 6 7 8 8 8 8 9 10 12 16 19 21 21 18 13 10 10 10 11 11 12 12 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 13 13 12 12 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 11 11 11 11 12 13 14 16 16 16 16 15 14 13 12 11 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 7 5 5 5 6 7 8 8 8 9 9 11 15 18 20 21 19 15 12 10 10 11 11 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 11 11 12 11 11 11 11 10 10 10 10 11 11 12 12 12 12 13 13 12 12 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 10 9 9 9 9 9 10 11 13 16 18 18 18 18 18 16 14 13 12 13 15 17 17 15 13 12 11 12 12 12 13 12 12 11 10 10 10 9 8 6 5 5 6 7 7 7 8 8 9 10 13 17 20 21 20 16 13 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 11 10 10 11 11 11 12 12 12 nan
nan 12 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 9 9 8 8 8 9 10 11 12 13 13 13 13 13 13 12 11 10 10 11 11 12 13 13 13 13 13 12 12 12 12 12 12 12 11 10 9 8 7 7 6 6 7 8 9 11 14 16 17 18 18 17 15 14 13 13 15 17 18 17 15 13 12 12 12 12 12 12 12 11 11 11 11 11 9 7 6 6 6 6 6 6 7 8 9 10 11 15 19 20 21 17 13 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 8 6 6 6 8 9 11 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 10 10 11 11 12 12 12 12 nan
nan 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 9 8 8 7 7 8 9 10 11 12 12 12 12 12 12 12 11 11 10 11 11 12 13 13 13 13 13 12 12 13 13 12 12 12 11 10 9 8 7 6 5 5 5 5 6 7 10 12 13 14 15 15 14 14 13 13 13 14 15 13 12 10 9 9 10 10 10 11 11 12 11 11 11 10 10 9 9 9 9 8 6 6 6 7 8 9 10 12 15 19 20 20 17 13 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 7 6 7 8 10 12 14 14 14 14 13 13 12 12 12 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 nan
nan 11 11 12 12 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 12 12 13 13 13 12 12 11 11 10 9 8 6 6 6 6 6 6 7 8 10 10 11 11 12 12 12 12 12 13 13 11 9 7 6 6 7 8 9 10 12 13 13 13 11 10 9 8 8 10 10 11 9 7 7 7 8 9 10 11 13 15 18 20 20 17 13 12 11 11 11 11 11 11 11 11 11 12 12 12 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 12 13 14 15 16 16 15 14 13 12 12 12 11 11 11 11 11 10 10 10 11 11 11 12 11 11 11 11 11 11 12 12 12 12 13 13 13 nan
nan 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 11 12 13 13 12 11 10 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 8 9 10 11 11 12 12 12 11 10 9 8 8 9 9 10 11 12 13 14 14 13 11 8 5 5 6 8 9 10 9 8 8 9 9 10 11 12 14 16 19 20 18 15 13 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 11 11 11 11 11 11 12 12 12 12 12 11 12 12 13 14 14 14 15 14 14 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 13 12 12 nan
nan 11 11 11 12 12 12 12 11 10 9 9 9 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 12 13 13 13 12 10 8 7 7 8 9 11 12 14 14 13 13 12 10 8 8 7 7 7 8 10 10 11 11 11 11 11 11 11 12 13 13 13 13 12 12 13 13 12 11 9 6 4 3 3 5 6 8 8 8 9 10 10 10 11 13 16 18 19 18 15 13 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 11 12 12 12 12 12 11 11 11 12 12 12 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 13 13 13 12 12 12 nan
nan 11 12 12 12 12 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 12 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 11 12 12 13 14 13 12 11 10 8 6 6 7 9 10 13 14 15 15 16 16 16 15 13 11 10 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 7 5 4 3 3 4 6 8 8 9 9 10 11 13 15 17 19 18 16 14 12 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 12 12 12 11 11 10 11 11 12 12 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 nan
nan 12 12 12 12 11 11 10 9 8 8 7 7 6 7 7 7 7 7 8 9 11 12 12 12 10 9 9 9 9 9 8 8 8 8 7 8 8 8 9 9 9 9 9 9 10 10 11 11 12 11 10 9 8 7 6 6 6 8 10 11 13 14 14 15 16 17 18 18 16 15 13 10 9 9 10 10 11 12 12 11 10 9 8 6 5 5 6 8 10 12 12 12 11 10 10 9 7 5 3 1 2 4 7 8 9 10 11 12 14 16 18 19 17 14 12 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 10 9 9 10 11 11 11 11 11 11 10 11 11 11 12 12 11 11 11 11 11 11 11 10 10 11 12 12 12 11 11 10 11 11 12 12 11 11 11 11 10 8 7 7 7 9 11 12 12 11 11 nan
nan 12 12 11 11 10 9 9 8 7 7 6 5 5 5 6 6 7 8 9 11 12 12 11 10 8 7 8 8 8 8 7 6 6 6 6 6 7 8 8 8 8 8 9 9 10 10 10 10 10 9 8 7 6 5 5 6 7 9 10 12 13 13 14 14 15 16 17 17 16 15 14 12 11 11 11 11 12 12 12 11 10 9 7 6 5 5 5 7 10 13 13 12 11 10 10 10 9 7 3 1 2 3 6 8 9 10 12 14 15 17 17 17 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 8 6 5 6 7 10 11 12 13 12 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 8 4 2 3 5 10 14 14 13 12 11 nan
nan 10 9 8 7 7 7 6 6 6 6 5 5 5 6 8 9 10 11 11 12 12 11 9 7 7 7 8 8 8 7 6 5 6 6 7 8 9 9 9 9 10 10 10 10 10 11 10 10 9 8 7 6 5 6 7 8 9 10 11 11 12 12 12 13 13 14 14 14 14 14 13 12 12 11 11 11 11 11 11 11 10 10 10 9 9 7 7 8 10 12 12 12 10 10 10 10 9 8 5 2 3 5 7 9 10 11 12 14 16 17 16 15 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 10 7 4 2 3 6 10 13 15 16 15 13 13 12 12 12 11 11 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 6 4 4 6 12 18 21 19 16 13 12 nan
nan 7 6 6 6 6 6 7 7 8 9 9 10 10 11 12 13 13 13 13 12 11 10 10 9 9 10 10 10 9 8 7 7 8 8 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 7 7 7 8 9 10 10 10 11 11 11 11 12 12 12 12 13 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 10 9 7 6 7 8 10 10 11 10 10 10 10 10 9 7 6 7 7 9 10 10 10 12 14 16 17 15 14 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 9 6 4 4 8 13 17 18 18 17 15 13 13 12 12 12 11 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 8 8 10 13 19 23 21 19 15 13 12 nan
nan 6 7 8 8 9 10 11 12 13 14 15 16 17 17 17 17 16 15 14 13 12 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 8 9 10 10 10 11 10 10 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 8 7 7 8 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 10 11 12 14 15 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 10 8 8 10 14 16 18 17 15 14 13 12 12 12 12 11 10 10 10 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 13 15 17 17 16 14 12 12 11 nan
nan 10 11 12 13 14 14 14 15 16 17 17 18 18 19 19 19 18 17 15 14 13 12 12 12 12 11 11 11 10 10 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 9 8 7 7 7 8 9 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 13 14 14 13 12 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 6 15 32 55 73 83 88 89 82 76 72 70 73 77 73 65 56 44 45 58 76 97 118 147 158 162 155 133 104 91 96 117 142 150 137 117 92 66 41 28 24 24 22 15 8 3 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12 24 39 55 66 58 51 50 54 55 56 58 59 59 57 50 50 53 59 72 94 116 131 139 146 151 147 136 121 104 97 104 119 130 125 104 80 60 45 39 37 37 35 32 26 16 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 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 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
30 43 53 56 49 32 20 16 18 25 37 50 59 64 64 62 73 85 97 111 127 141 147 146 142 144 141 134 123 110 103 105 112 115 107 90 69 52 42 42 50 56 55 48 33 15 4 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
37 41 40 33 22 14 8 6 11 27 50 74 90 95 94 91 102 113 124 136 150 154 154 149 144 143 141 134 126 118 112 110 111 110 104 91 72 55 42 40 48 58 60 49 27 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 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 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
31 24 19 15 11 9 6 8 15 30 54 82 102 109 110 113 119 125 133 144 157 161 158 150 143 138 135 131 129 126 124 116 114 111 104 93 77 58 44 39 43 51 52 43 23 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
26 11 9 7 6 5 3 4 10 20 34 53 76 94 109 120 124 128 136 145 150 150 150 145 138 132 128 128 129 130 126 116 113 110 103 93 79 56 44 36 30 31 36 34 19 2 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
18 4 4 4 5 5 6 7 9 15 23 36 57 81 102 115 122 126 130 133 136 140 144 139 134 130 127 124 127 128 124 114 111 110 104 93 77 55 44 37 33 31 35 38 21 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 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 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
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