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 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 11 11 11 11 11 12 12 14 16 17 18 18 18 16 15 14 13 13 12 11 11 13 14 15 14 13 12 12 11 11 11 11 12 12 12 12 12 11 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 10 11 11 11 12 12 13 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 8 7 6 6 7 8 9 9 9 10 12 14 13 12 11 9 8 8 9 10 10 9 8 7 7 7 8 8 9 8 8 8 9 10 11 11 10 9 8 8 8 9 10 13 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 11 11 11 11 12 12 12 12 11 11 12 12 11 11 11 12 12 13 15 17 19 21 21 21 19 17 16 15 14 13 11 12 14 16 16 14 13 12 11 11 11 11 11 12 13 13 12 11 10 9 9 8 8 9 9 9 9 8 8 7 6 6 7 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 10 11 11 11 11 11 11 11 12 13 13 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 9 9 9 8 8 8 8 8 7 6 6 6 8 9 9 8 8 9 11 11 11 11 9 7 8 9 9 10 9 8 8 8 8 8 8 9 9 8 8 8 9 9 9 10 9 8 8 8 8 9 12 nan
nan 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 13 12 12 12 12 12 11 12 12 12 12 13 15 18 21 24 25 25 23 21 19 17 15 13 12 14 15 17 17 15 13 12 12 12 12 12 12 13 13 13 12 10 9 9 8 8 9 9 9 9 9 9 9 8 7 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 12 12 11 11 10 11 11 12 12 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 7 7 8 9 9 8 8 8 8 9 11 11 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 11 nan
nan 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 11 12 12 13 13 13 13 13 12 12 12 12 12 12 11 12 12 14 18 22 26 29 29 28 26 23 20 17 14 15 17 18 18 17 14 13 12 12 12 12 13 13 13 13 13 11 10 10 9 9 9 10 10 10 9 9 10 10 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 12 12 11 11 10 10 11 11 11 10 9 9 10 11 11 11 11 10 10 10 10 11 12 12 13 13 13 12 12 12 11 10 10 10 10 9 9 9 8 7 8 9 9 9 9 8 8 9 10 10 9 8 8 9 10 9 9 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 12 nan
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nan 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 9 9 10 10 10 11 12 12 13 14 14 14 14 14 14 13 13 12 12 12 11 11 11 11 13 17 21 27 31 34 33 31 28 25 25 25 25 23 19 15 13 11 11 11 11 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 9 9 8 8 8 9 10 11 11 10 9 10 10 11 12 11 10 9 9 10 12 12 10 10 9 9 10 11 12 12 11 11 11 12 12 12 13 13 14 13 13 13 13 11 9 8 8 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 10 11 12 13 13 12 10 9 8 7 8 9 10 10 9 9 9 10 10 11 12 13 13 nan
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nan 10 10 10 10 10 10 10 9 9 8 9 9 9 10 10 10 10 10 9 9 9 10 10 9 9 10 11 12 13 14 14 15 15 15 15 14 14 13 13 13 12 13 13 12 12 11 12 13 16 22 28 31 33 34 34 32 29 26 21 17 14 12 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 10 10 11 11 10 9 9 11 13 13 12 11 10 9 10 10 10 9 9 9 9 9 9 10 11 12 12 13 14 15 15 14 12 10 9 8 9 9 9 10 11 11 11 11 10 9 10 11 11 11 10 9 9 10 10 10 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 12 13 nan
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nan 13 12 11 10 9 7 7 8 9 10 11 12 13 13 12 11 7 4 2 3 6 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 9 11 15 14 9 5 2 5 10 11 11 10 10 11 11 11 11 10 10 9 10 10 11 14 16 18 17 14 12 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 11 11 12 12 13 14 14 13 12 12 12 11 11 10 10 10 10 9 8 7 6 6 7 8 9 10 11 11 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 11 11 10 10 11 11 11 10 10 10 10 10 10 9 8 7 8 9 10 9 8 9 11 13 nan
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nan 8 5 3 1 1 2 5 8 9 10 10 11 11 10 8 4 1 2 7 13 16 15 13 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 9 7 6 8 12 15 14 12 10 10 11 13 13 12 11 9 9 11 12 13 14 14 13 12 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 14 15 15 15 15 14 13 12 12 12 11 10 8 5 4 4 5 8 12 14 16 16 14 13 11 11 11 11 12 12 11 11 10 10 10 10 10 11 11 12 12 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 12 14 15 16 14 nan
nan 5 1 -2 -4 -4 -2 2 5 6 8 9 10 11 10 8 7 7 11 15 18 17 14 12 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 10 10 10 10 10 10 9 8 10 14 14 14 11 9 10 11 13 13 12 10 9 10 11 12 12 12 11 10 9 9 9 9 9 9 9 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 12 12 13 14 14 14 14 13 13 12 12 11 11 10 8 7 8 10 13 16 18 19 18 16 13 11 10 10 10 11 11 10 10 9 9 9 9 9 10 11 11 11 11 10 11 11 11 11 11 10 9 9 10 10 10 11 10 11 11 11 11 11 11 12 13 12 11 nan
nan 6 2 -1 -2 -2 0 2 3 5 7 9 11 11 11 11 12 13 16 18 17 15 12 11 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 9 9 9 10 10 11 11 10 10 10 11 12 12 11 9 8 9 11 12 12 11 10 10 10 10 11 11 10 10 9 9 9 9 9 8 8 9 10 11 11 11 11 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 11 10 10 11 14 16 16 16 15 14 13 11 10 10 10 9 9 9 9 9 9 8 8 8 9 11 12 11 11 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 8 7 5 5 6 8 10 12 14 16 16 15 14 13 12 12 13 14 13 13 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 11 11 11 10 10 9 9 9 9 8 8 8 10 12 13 12 11 10 10 10 9 10 10 10 10 9 9 10 9 9 8 8 9 10 11 11 11 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 11 11 12 12 12 13 14 14 14 14 14 13 13 12 11 11 11 12 12 12 11 11 11 11 10 10 10 9 9 9 10 10 10 10 9 9 10 11 12 12 11 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 10 nan
nan 11 10 9 9 11 16 20 24 27 26 23 20 16 14 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 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 7 7 7 7 9 11 14 14 13 12 11 9 9 9 10 10 10 9 9 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 11 10 10 11 13 14 14 15 14 14 13 13 12 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 11 9 9 10 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 11 10 8 9 13 18 21 23 22 20 19 17 15 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 8 6 4 2 1 1 3 5 8 10 12 14 15 13 12 10 9 9 9 10 10 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 11 10 9 10 11 11 11 11 12 12 12 11 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 10 7 6 7 10 12 12 10 9 11 12 14 15 14 13 13 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 10 10 10 10 10 10 10 10 10 10 10 10 10 8 4 0 -3 -6 -6 -3 0 5 8 11 13 14 14 14 12 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 nan
nan 9 7 7 7 8 7 7 8 12 17 19 19 17 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 5 1 -3 -5 -6 -4 -0 4 8 10 12 14 15 16 15 13 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 7 8 9 10 11 12 12 12 12 11 11 10 10 10 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 nan
nan 10 10 10 11 11 12 15 19 24 26 24 21 16 14 13 13 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 5 2 1 0 2 3 5 7 10 12 14 15 17 17 15 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 10 10 11 11 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 10 9 9 9 10 10 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 12 12 12 11 11 nan
nan 11 11 12 13 15 17 21 23 24 22 19 16 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 7 7 10 12 14 16 16 15 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 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 13 13 13 12 12 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 11 11 nan
nan 11 11 12 12 13 15 16 16 16 15 14 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 13 12 10 8 7 8 11 13 14 14 13 12 10 10 10 10 10 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 10 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 9 11 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 12 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 14 13 11 10 11 13 15 16 16 14 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 8 7 7 7 9 10 10 11 11 10 9 9 9 10 10 11 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 9 10 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 nan
nan 12 12 11 11 11 11 12 12 12 13 13 13 13 13 13 13 14 14 13 13 13 12 10 9 8 8 10 11 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 16 18 20 20 19 17 13 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 9 7 7 7 9 11 12 12 12 11 10 8 9 10 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 12 12 12 11 10 10 11 12 13 14 14 13 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 nan
nan 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 13 13 10 8 6 5 6 8 11 13 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 11 12 14 17 20 23 24 24 21 18 14 12 11 10 10 10 10 11 11 10 10 10 10 10 10 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 10 9 8 9 9 10 9 8 7 8 11 12 12 12 11 9 8 8 9 10 12 12 12 12 11 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 14 13 12 11 11 10 10 10 11 10 10 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 nan
nan 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 13 11 8 4 3 4 7 13 16 18 18 17 16 15 15 14 14 14 13 13 13 13 13 13 13 13 13 13 14 15 15 15 15 14 14 13 12 12 11 12 14 17 20 21 21 20 17 15 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 8 8 9 9 8 8 8 10 11 11 11 11 10 9 8 9 10 11 12 12 12 11 10 10 10 10 10 11 12 12 13 13 12 12 12 12 12 12 11 10 9 9 9 10 10 10 11 11 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 nan
nan 13 12 12 12 12 12 13 13 13 13 12 12 12 13 13 13 14 12 8 4 3 7 11 18 22 22 21 19 17 16 16 16 15 15 14 14 13 13 13 13 13 13 14 14 15 16 16 16 15 14 13 12 12 12 12 12 12 12 14 15 15 14 14 13 13 12 12 12 12 11 11 11 11 10 10 10 10 11 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 9 8 7 7 8 9 9 9 9 10 11 12 12 12 12 12 11 10 10 10 11 12 12 12 12 11 11 10 10 11 11 12 13 13 13 13 13 12 12 11 10 9 7 7 7 8 9 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 nan
nan 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 11 9 8 11 16 21 24 23 20 18 16 16 16 16 16 16 15 14 14 13 13 13 13 13 13 14 15 16 16 16 15 14 13 12 12 11 11 11 11 11 11 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 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 9 8 7 8 9 9 10 11 11 12 13 13 13 12 13 12 12 11 11 11 12 13 13 13 12 12 11 11 11 12 12 13 13 13 13 13 12 11 10 9 8 7 7 8 9 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 8 8 7 7 8 8 nan
nan 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 12 12 13 16 19 21 20 17 15 14 14 15 16 16 17 16 15 14 13 13 12 13 13 13 14 14 15 15 15 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 9 9 8 9 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 13 13 13 12 12 11 11 9 9 8 9 9 10 11 12 13 13 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 nan
nan 12 12 12 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 14 15 16 16 15 14 14 13 14 14 15 16 16 16 15 13 12 12 12 12 13 13 14 14 14 14 14 13 13 13 13 12 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 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 14 13 13 13 13 13 13 14 14 15 16 16 14 12 11 11 11 12 13 13 13 13 14 14 14 14 14 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 12 12 12 13 13 12 11 10 10 10 11 13 13 13 13 13 13 13 13 13 13 14 15 16 15 14 12 11 11 11 12 13 13 13 13 14 14 15 15 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 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 12 12 12 12 11 10 9 9 9 9 9 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 nan
nan 10 11 11 11 12 12 12 12 12 13 13 13 13 11 9 6 5 6 10 13 13 13 12 12 12 13 13 13 13 13 15 16 15 14 13 12 12 12 13 13 13 13 14 15 15 16 16 16 15 14 13 13 12 12 11 11 11 11 11 11 11 11 11 10 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 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 9 7 5 4 5 7 9 11 11 12 12 12 12 12 11 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 nan
nan 11 11 12 12 12 12 12 12 13 13 13 13 13 11 8 6 5 7 13 17 16 15 13 12 13 13 13 14 14 14 15 16 16 15 15 14 13 13 13 13 14 14 15 16 17 18 18 17 16 15 14 13 12 12 11 11 11 11 11 11 12 11 11 11 11 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 9 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 10 8 5 1 -3 -5 -4 -1 3 7 10 11 11 12 13 13 13 12 11 10 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 13 13 13 13 12 11 10 9 10 13 17 19 18 17 15 13 14 14 14 14 14 14 15 15 16 16 16 15 14 13 13 14 14 15 16 17 18 19 18 17 16 15 14 13 13 12 12 12 12 11 12 12 12 12 11 11 11 11 10 10 11 11 11 12 12 12 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 11 11 12 12 12 13 13 13 12 11 11 11 10 9 9 9 9 10 10 11 10 10 10 11 11 11 11 9 6 2 -3 -7 -9 -9 -6 -3 1 6 8 9 9 9 10 11 12 12 11 10 10 10 10 10 9 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 12 nan
nan 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 13 15 16 17 16 15 14 14 14 15 15 14 14 14 14 14 15 16 16 15 14 14 14 15 16 17 18 18 19 19 18 16 15 14 14 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 12 12 12 13 13 13 13 12 12 13 12 11 9 9 9 9 9 9 9 10 10 9 9 9 7 5 2 -2 -4 -6 -6 -4 -2 1 4 6 6 5 3 2 4 7 9 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 nan
nan 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 13 13 14 14 13 13 13 13 14 14 14 14 13 13 13 12 13 14 16 16 15 15 15 15 17 18 18 19 19 18 17 16 15 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 13 12 12 12 13 13 13 12 10 9 9 9 9 9 9 9 9 8 8 7 5 3 0 -2 -2 -1 1 3 4 5 6 5 3 -0 -2 -1 2 6 8 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 10 10 10 11 11 11 10 10 10 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 13 13 13 13 13 13 12 12 12 12 13 14 15 15 15 15 16 17 18 18 18 18 17 16 16 15 15 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 11 11 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 12 13 13 13 13 12 11 10 10 10 9 9 9 8 8 8 6 4 2 1 0 1 3 5 7 8 8 7 4 1 -1 0 4 7 10 11 10 10 11 11 12 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 12 11 11 10 9 10 10 10 10 9 9 8 8 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 13 13 13 13 12 12 12 12 12 13 14 14 15 15 15 15 17 17 18 18 17 16 16 16 16 16 16 15 15 15 15 15 14 14 14 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 11 11 12 12 12 13 13 13 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 9 8 6 3 1 0 -0 1 3 6 8 9 10 10 8 6 4 4 7 9 10 11 10 10 11 11 12 12 12 12 12 13 14 14 14 13 13 13 14 14 14 14 13 12 12 12 12 13 13 12 11 9 9 10 11 11 10 9 9 8 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 13 13 13 13 13 12 12 12 12 13 14 14 14 14 14 14 15 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 15 15 15 14 14 14 13 13 13 12 12 12 12 12 12 11 11 11 10 10 10 11 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 10 10 11 12 12 11 11 11 11 12 12 12 11 11 11 11 10 8 5 1 -2 -3 -2 0 3 5 7 9 10 12 13 12 11 10 9 9 8 8 7 8 10 12 13 14 13 13 13 14 14 15 15 15 14 14 14 15 16 16 16 15 14 13 13 14 15 15 14 12 10 9 10 11 12 13 13 13 12 nan
nan 12 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 12 12 12 12 13 13 13 13 13 13 12 12 13 13 14 14 14 13 13 14 16 17 17 18 17 17 17 17 17 17 17 17 17 17 16 16 16 15 15 15 14 14 14 13 13 13 13 12 12 12 12 12 11 11 11 10 10 11 11 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 12 12 12 11 11 10 10 11 12 12 11 11 10 9 6 2 -1 -4 -4 -3 -1 3 5 7 8 9 10 12 13 12 11 11 10 8 7 7 8 10 14 16 16 16 16 16 16 15 15 15 14 14 14 14 15 16 16 16 16 16 15 15 15 16 17 18 17 14 11 10 10 11 13 14 14 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
8 8 8 8 8 9 9 9 9 9 10 10 9 10 11 11 11 13 13 12 11 10 10 11 9 9 9 9 10 10 11 11 11 10 10 8 6 5 3 2 2 1 1 1 1 2 2 3 4 5 6 7 8 8 8 7 5 6 5 4 7 11 10 10 8 5 3 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 5 17 39 70 110 146 176 196 202 206 208 216 239 268 294 309 325 340 349 343 315 270 205 129 72 54 48 47 48 49 45 29 21 17 16 12 4 2 1 0 0 0 0 0 0 2 7 13 16 15 14 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 4 14 27 26 9 1 0 11 66
8 8 9 9 9 8 8 8 9 9 10 11 10 11 11 11 12 12 13 12 11 11 11 9 9 10 12 12 11 11 11 10 9 8 8 6 4 3 2 2 2 2 2 1 1 2 2 3 4 4 5 6 6 8 8 7 7 8 8 10 12 13 11 9 7 5 3 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 1 1 1 0 0 0 0 0 1 3 8 16 33 55 68 70 72 76 93 128 165 197 232 271 307 338 356 360 349 302 208 133 89 68 60 58 57 57 49 39 30 26 20 13 7 4 2 0 0 0 0 1 4 9 17 20 20 17 15 11 7 3 1 0 0 0 0 0 1 0 0 0 2 8 22 30 28 19 10 6 5 34
9 9 10 10 10 9 8 8 9 10 11 12 11 10 11 11 12 12 11 10 10 11 11 9 10 11 12 13 13 12 11 9 8 6 5 4 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 5 6 7 7 7 9 10 12 15 17 16 12 9 6 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 1 1 1 0 0 0 0 0 0 0 0 0 1 3 6 8 9 11 16 32 54 87 139 197 244 288 323 356 372 347 283 212 143 103 90 85 83 80 77 71 60 52 40 28 19 13 9 5 3 2 1 2 6 8 16 21 23 19 18 16 10 4 0 0 0 0 0 1 1 0 0 1 3 10 22 25 26 23 16 8 3 20
10 9 9 9 8 9 8 8 9 11 12 12 13 12 12 12 11 12 12 11 11 10 9 9 9 10 11 11 11 12 11 8 6 5 3 2 1 1 2 2 2 2 3 3 4 5 6 6 6 5 5 4 4 5 7 8 9 13 15 15 15 17 20 17 10 5 3 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 1 3 7 22 50 91 135 183 231 276 310 324 314 284 226 169 139 131 128 121 118 118 109 90 67 49 35 27 21 15 10 7 8 9 14 15 17 21 27 22 20 19 16 11 1 0 0 0 0 0 0 0 0 1 3 7 15 18 18 15 10 3 2 14
9 9 8 8 8 8 9 9 10 11 12 12 13 14 13 13 12 11 12 11 10 9 9 8 9 9 10 11 12 11 10 7 5 3 2 2 1 1 2 3 3 4 5 6 6 7 7 8 8 7 6 5 5 5 8 11 14 20 22 22 22 23 22 15 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 0 0 0 0 0 0 0 0 0 0 0 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 6 13 20 40 69 111 159 203 246 281 291 259 211 183 172 173 177 179 173 157 131 103 74 50 40 33 27 19 14 18 22 26 26 24 21 29 25 22 20 19 13 4 1 0 0 0 0 0 0 0 0 1 3 6 8 8 6 3 1 7 19
9 10 9 8 8 8 9 10 11 12 12 13 13 12 13 13 13 12 12 11 9 9 9 9 8 8 9 10 10 8 7 5 4 3 2 1 1 2 3 4 4 5 6 6 7 6 7 8 8 9 8 8 7 9 14 21 31 40 42 41 38 31 22 12 6 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 2 3 8 16 36 65 97 135 174 191 188 182 177 182 193 208 223 220 197 174 142 106 78 57 42 34 29 24 25 28 31 35 34 25 26 22 17 17 25 15 7 2 0 0 0 0 0 0 0 0 1 2 2 3 3 2 3 6 14 27
10 10 9 9 8 9 10 12 14 14 14 14 14 13 14 15 15 13 12 11 10 9 8 10 9 9 10 10 8 6 5 4 4 3 3 3 3 3 4 5 7 7 7 7 6 5 5 6 7 7 8 9 11 22 41 60 75 78 73 65 55 38 20 10 5 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 2 7 14 22 30 41 59 77 91 109 138 166 190 218 231 226 205 178 150 112 75 50 37 32 26 23 23 31 42 46 38 30 22 17 19 25 17 8 2 0 0 0 0 0 0 1 3 6 7 5 0 0 2 8 19 34 56
9 9 9 9 9 10 11 13 15 16 16 16 15 14 15 16 15 14 12 11 10 9 8 9 9 9 10 10 7 6 6 6 5 5 6 5 6 7 8 8 9 9 8 7 5 4 4 4 5 5 7 9 11 28 60 94 115 112 99 82 66 45 25 11 5 3 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 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 1 1 1 3 9 18 32 48 74 105 135 167 188 207 207 183 156 115 85 59 40 32 28 24 20 24 36 46 44 34 21 10 9 14 13 7 1 0 1 1 1 1 4 7 11 12 11 10 4 6 11 21 39 62 95
9 9 9 9 10 10 11 14 16 17 17 17 15 15 15 15 15 13 12 11 10 10 10 9 8 8 9 10 8 7 7 7 6 8 10 10 10 11 12 11 10 8 7 5 4 3 2 2 2 3 4 6 9 22 51 95 148 152 131 102 75 49 28 12 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 18 32 52 77 106 133 157 176 184 179 134 90 60 38 20 12 11 12 16 25 35 39 31 17 8 8 9 11 9 3 3 4 6 10 17 24 19 17 13 9 12 8 5 6 18 43 60 86
8 8 8 8 9 10 12 14 15 17 17 18 15 16 15 14 12 12 13 12 11 10 9 9 8 8 8 9 9 8 7 7 9 12 15 14 14 14 14 12 10 8 6 4 3 3 2 2 1 2 3 4 6 11 23 51 140 167 153 118 81 48 24 9 3 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 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 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 5 10 19 41 64 88 114 139 159 172 141 104 76 42 14 3 1 2 8 15 22 24 18 11 11 13 12 11 11 8 7 9 12 16 23 21 18 15 9 4 3 1 0 1 3 15 27 42
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