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 12 12 12 12 11 11 10 10 10 10 9 10 9 9 9 9 8 8 8 8 9 10 10 9 8 7 6 6 7 7 8 9 12 15 18 19 19 16 14 14 14 14 13 12 11 10 10 10 10 10 9 8 7 6 6 7 8 9 11 12 13 13 13 13 12 11 10 10 10 11 11 11 10 9 8 7 8 9 9 10 10 11 11 10 10 10 10 9 9 9 10 11 11 11 11 12 11 11 11 10 10 10 9 9 8 9 9 10 10 11 11 nan
nan 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 11 11 10 9 8 8 7 7 7 7 7 9 11 14 18 18 17 15 14 14 13 12 11 10 9 9 8 8 9 9 8 7 6 6 7 8 9 10 11 13 14 15 15 13 11 10 10 9 10 10 10 11 9 9 9 9 10 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 11 11 10 10 10 9 9 9 8 8 8 9 10 10 11 11 11 nan
nan 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 8 8 7 7 7 9 11 15 17 17 16 14 12 11 10 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 11 12 14 16 17 16 14 12 10 9 9 9 10 10 10 11 11 11 11 11 12 12 11 11 10 10 10 9 9 9 9 10 11 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 nan
nan 11 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 12 12 13 12 12 11 11 11 11 11 11 10 10 9 8 7 8 9 13 16 17 17 14 11 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 14 17 18 18 17 14 12 11 10 9 10 11 11 12 12 13 13 12 12 12 11 10 10 9 9 9 8 9 9 10 10 10 9 9 9 9 8 8 9 9 8 8 9 9 10 10 10 10 10 10 nan
nan 11 11 11 10 10 10 10 11 11 10 10 10 11 11 11 11 12 12 13 14 13 13 12 12 12 12 12 12 11 11 10 9 8 8 9 11 14 17 17 14 11 9 8 7 7 7 8 8 8 9 9 9 9 9 9 8 9 9 10 10 12 14 16 19 20 20 17 14 13 11 11 11 12 12 12 13 13 13 13 12 12 11 10 9 9 8 8 8 9 9 10 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 nan
nan 11 11 11 10 10 9 9 9 10 10 10 11 12 12 12 12 13 12 12 12 12 12 12 12 12 13 13 12 12 12 11 10 9 9 10 11 14 17 17 15 12 10 8 7 7 7 8 8 9 9 9 10 10 10 9 9 9 9 9 10 11 13 15 19 21 21 19 17 14 12 12 12 12 13 12 12 12 12 13 12 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 9 9 9 9 9 10 11 11 11 13 14 14 14 13 12 11 11 11 11 11 12 13 13 13 13 13 11 11 11 11 13 15 17 17 16 14 12 10 9 8 8 8 9 10 10 10 10 10 11 10 10 10 10 10 10 10 11 13 17 20 21 20 18 14 12 12 12 12 13 12 12 12 12 12 12 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 15 15 14 13 12 11 10 10 11 13 13 13 13 13 13 12 12 13 15 17 18 18 18 17 15 14 13 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 12 15 17 19 20 17 14 12 11 10 11 12 12 12 12 12 12 11 11 11 10 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 13 14 15 15 14 14 13 11 11 11 12 12 12 13 13 13 13 14 15 17 18 18 18 18 18 17 17 17 16 15 15 15 14 13 12 11 11 11 12 12 11 11 11 11 10 11 11 12 14 17 19 17 15 13 10 9 9 10 10 11 12 12 12 11 11 10 10 9 8 8 8 8 8 9 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 9 9 10 10 10 10 nan
nan 10 9 9 9 8 8 9 9 9 10 10 10 10 9 10 10 11 12 13 14 15 15 14 13 12 11 11 11 11 11 12 12 13 14 16 18 19 19 18 17 17 16 16 17 17 18 19 19 19 17 14 12 11 12 12 12 12 12 12 11 11 11 11 12 13 15 17 16 15 13 10 9 9 9 9 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 9 9 10 10 10 10 nan
nan 11 10 10 10 9 9 9 8 9 10 11 11 11 10 10 10 10 10 11 12 13 14 14 14 13 12 11 10 10 10 10 11 12 13 15 17 19 19 18 18 17 16 14 13 13 14 16 19 21 20 16 13 12 13 14 13 12 12 12 11 11 11 12 12 12 14 14 14 14 13 11 10 10 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 nan
nan 12 12 12 11 11 10 9 9 9 10 11 12 11 11 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 10 10 10 10 11 13 15 17 19 19 19 19 17 16 13 12 11 11 15 19 19 16 13 13 15 15 13 12 12 11 11 11 11 11 11 12 13 13 14 14 13 12 12 11 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 nan
nan 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 11 11 10 10 11 10 10 10 10 11 11 11 11 11 10 10 9 9 10 11 13 15 16 18 19 20 20 20 18 16 14 13 16 18 17 14 12 15 18 17 15 13 12 12 12 11 11 11 11 12 12 13 14 14 14 13 12 11 11 11 11 12 12 11 11 11 11 10 10 9 10 10 11 11 12 12 12 12 12 12 11 10 10 11 11 11 12 12 12 12 12 12 12 11 11 9 nan
nan 13 13 13 12 12 11 11 11 10 10 10 11 12 12 12 12 12 11 11 10 9 9 9 9 9 10 11 11 11 11 10 9 9 9 10 11 12 14 16 17 19 20 21 21 20 19 18 20 19 17 14 15 18 20 20 18 17 15 15 14 14 13 13 12 12 12 13 15 16 15 15 14 13 13 13 12 12 12 11 11 11 11 11 10 10 11 12 12 12 13 13 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 9 8 nan
nan 14 14 13 13 12 12 11 11 11 11 11 11 12 12 13 13 12 11 11 10 9 9 9 9 9 10 10 11 11 11 10 9 8 8 9 10 11 13 14 15 16 17 19 20 20 20 20 19 18 17 15 17 18 19 19 19 19 19 20 20 19 18 15 13 10 11 14 17 19 19 18 18 17 17 16 15 14 13 12 12 12 12 12 12 12 13 14 14 14 14 14 13 13 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 10 9 8 nan
nan 16 15 15 14 13 12 12 12 12 12 11 12 12 12 12 12 12 11 10 10 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 9 10 12 13 13 14 14 15 16 17 18 18 17 16 15 15 16 17 17 17 17 17 19 21 22 20 18 15 12 11 14 18 22 22 21 20 20 20 20 20 19 17 16 15 15 15 15 15 15 16 16 16 16 16 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 nan
nan 18 17 16 15 14 14 13 13 12 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 11 10 10 9 9 8 8 8 9 10 11 12 13 13 13 13 14 14 15 16 16 15 15 15 15 15 15 15 15 16 17 18 17 15 14 12 12 14 17 21 22 21 19 19 20 21 22 21 21 20 20 19 19 19 19 19 20 19 19 19 18 18 17 16 15 14 13 12 12 11 11 12 12 12 11 11 12 12 12 12 11 10 10 9 nan
nan 19 19 18 17 16 15 14 13 11 10 10 10 10 9 9 10 10 11 11 11 11 12 11 10 9 9 9 10 10 9 8 8 7 7 9 10 11 12 12 12 12 12 12 12 12 13 14 16 16 15 14 14 14 14 14 14 14 15 14 13 12 12 12 13 14 16 17 18 17 16 17 20 22 23 22 21 21 22 22 23 23 23 23 23 23 22 21 20 19 18 17 16 15 14 13 12 12 11 11 11 11 11 12 12 12 12 11 10 10 9 9 nan
nan 19 18 18 17 17 17 16 15 13 11 9 8 8 7 8 9 10 10 11 11 12 12 11 9 8 8 8 10 10 9 8 7 6 7 9 10 11 12 12 12 12 11 11 10 11 12 13 15 16 15 14 13 13 13 13 13 13 13 12 12 12 13 13 12 13 14 18 21 22 22 23 25 25 24 23 22 22 22 23 24 24 24 25 25 24 23 22 21 20 19 18 16 15 14 14 13 12 12 11 11 11 11 11 11 11 11 10 9 9 9 8 nan
nan 16 15 15 15 16 17 18 17 16 13 11 9 8 8 8 9 9 10 10 11 11 12 10 9 7 7 8 10 10 9 8 7 6 7 8 10 12 13 12 12 12 11 10 10 10 10 13 15 16 16 15 13 12 12 12 12 12 12 12 12 12 13 13 13 16 20 26 31 33 34 32 30 27 25 23 22 21 21 22 22 22 22 23 23 23 21 20 19 18 18 17 16 15 15 14 14 13 13 12 12 12 12 11 11 11 11 10 10 10 10 9 nan
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nan 9 10 11 11 10 10 12 16 18 18 17 15 14 14 14 14 12 9 8 8 9 10 10 8 7 7 7 8 9 9 8 8 8 8 9 9 10 10 11 11 11 11 10 9 10 11 13 14 16 16 14 12 11 10 10 11 11 12 14 16 18 21 26 31 34 34 31 26 21 19 18 17 17 17 16 16 16 15 15 14 14 13 13 13 13 13 12 12 12 12 12 12 12 13 13 14 14 15 15 15 14 15 15 14 13 11 11 10 9 8 8 nan
nan 10 10 9 8 6 6 9 12 13 14 14 14 14 14 15 16 15 12 10 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 11 12 12 12 11 10 9 10 11 12 14 16 15 14 13 12 11 11 12 12 14 16 18 21 25 30 33 32 28 24 19 16 15 14 14 14 14 14 14 13 13 13 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 13 13 13 13 13 12 12 13 13 12 11 10 8 8 7 7 nan
nan 9 8 8 7 7 8 10 11 10 9 10 11 12 13 15 16 16 15 13 11 10 10 10 9 8 7 7 6 6 6 6 7 8 8 9 9 10 12 13 13 12 11 9 9 10 10 12 14 15 15 15 13 12 12 12 12 14 16 18 20 21 24 25 24 21 18 16 13 13 13 12 13 13 13 12 12 12 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 8 7 7 7 nan
nan 9 8 9 10 12 13 14 12 9 8 8 8 11 14 16 17 17 17 14 12 12 12 12 10 8 7 6 5 5 5 6 7 8 9 9 10 11 13 13 12 11 9 8 8 9 9 11 14 14 15 14 13 12 12 12 13 15 17 18 19 18 17 13 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 10 9 9 9 9 8 8 7 7 8 9 10 10 10 10 9 8 8 7 7 nan
nan 10 10 12 14 14 14 13 11 10 9 9 9 11 15 17 18 18 17 14 13 13 14 13 11 9 7 6 4 4 5 6 8 9 10 10 10 12 12 12 11 10 7 8 8 8 9 11 12 13 14 13 12 12 12 12 14 15 15 16 15 13 10 7 7 11 13 13 12 10 10 10 10 10 10 10 11 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 9 9 8 7 6 6 6 7 8 9 9 10 10 10 9 9 9 8 8 nan
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nan 11 12 13 12 11 10 9 9 11 14 17 18 18 18 16 16 16 14 12 12 13 13 13 12 10 8 6 5 4 6 8 10 10 10 9 9 9 11 12 11 10 9 8 7 7 7 7 8 11 12 11 10 9 9 9 11 12 13 13 12 11 11 13 18 19 17 14 9 6 7 8 8 7 7 7 8 7 7 7 7 7 7 6 6 7 7 8 8 8 9 9 8 8 7 6 5 5 4 5 6 7 8 8 8 9 10 10 10 10 9 9 nan
nan 12 13 13 13 13 11 11 12 13 17 20 21 21 21 17 15 13 12 12 13 14 14 14 14 11 8 6 5 6 8 9 9 9 8 7 7 8 9 11 12 11 10 8 7 7 6 6 8 10 11 10 9 7 7 8 9 11 12 13 13 13 13 15 15 13 11 9 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 8 7 7 7 5 4 4 4 5 5 6 6 7 8 8 9 10 10 10 10 9 9 nan
nan 13 13 13 13 13 11 12 13 15 18 21 23 25 24 20 16 13 10 11 15 17 18 18 16 12 10 8 7 8 8 8 7 6 5 5 6 7 9 11 12 13 12 10 8 7 6 6 8 9 10 10 8 7 7 7 8 10 11 12 12 12 12 12 10 8 7 6 5 6 6 5 4 4 5 4 4 4 4 4 4 4 3 3 4 4 5 6 7 7 8 7 7 6 6 5 5 5 6 6 6 6 7 7 8 8 9 10 10 10 9 8 nan
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nan 10 10 11 13 14 16 17 16 15 16 20 27 32 35 35 32 25 20 18 16 16 16 16 14 12 11 10 10 9 8 6 5 4 4 4 5 6 8 9 12 15 16 15 13 9 7 7 7 8 8 8 9 9 9 10 10 9 10 9 8 8 8 9 9 8 6 3 4 5 6 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 5 3 0 -1 1 nan
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nan 11 13 14 15 16 16 16 16 15 14 15 19 24 30 35 37 35 30 25 19 15 14 14 13 12 11 11 11 9 7 6 5 4 4 4 5 6 8 9 12 14 15 14 13 10 8 7 7 8 8 8 8 8 8 9 10 11 12 11 10 9 9 8 9 9 8 7 5 3 3 4 5 5 6 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 4 2 -1 -4 -6 -6 -5 -4 -4 nan
nan 9 11 12 14 15 16 16 16 14 11 11 15 20 26 32 35 36 33 27 20 17 15 14 13 12 12 12 11 9 7 6 5 4 4 4 5 6 7 9 11 12 12 13 13 11 10 8 8 8 8 8 8 8 9 9 10 11 12 11 11 11 10 9 9 9 8 6 4 1 -2 -4 -5 -3 -0 3 4 6 7 8 8 9 10 10 10 10 10 9 9 8 7 6 6 6 6 7 7 7 6 6 5 5 3 1 -2 -5 -6 -5 -2 1 4 5 nan
nan 7 9 12 14 16 16 17 16 12 7 6 10 16 22 27 31 32 31 26 21 18 16 15 14 14 14 13 11 9 7 6 5 4 5 6 7 7 7 8 8 9 11 13 13 12 11 9 9 9 9 8 8 8 8 9 10 10 10 11 11 11 10 10 9 9 8 6 4 0 -3 -7 -9 -8 -5 -3 -3 -3 0 5 8 10 11 11 11 11 11 9 8 7 7 6 6 6 6 6 6 6 5 4 4 3 2 1 -1 -2 -1 1 5 8 9 9 nan
nan 7 9 12 15 16 16 16 15 10 4 3 6 12 18 23 26 27 26 23 20 18 17 17 17 17 16 14 11 10 8 7 6 5 6 7 8 7 7 7 6 7 11 13 13 13 11 10 9 9 9 8 8 8 8 8 8 8 8 8 10 10 10 11 11 10 8 7 5 2 0 -2 -2 -3 -4 -5 -6 -7 -4 1 6 10 12 12 12 11 10 9 8 8 8 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 7 8 10 9 9 nan
nan 9 10 12 15 15 14 14 13 9 4 3 5 9 15 20 22 21 20 19 19 18 18 18 19 20 18 15 13 11 10 8 7 7 8 8 8 7 7 7 5 8 11 12 13 12 10 10 10 9 9 8 8 8 8 7 6 5 5 6 8 9 11 13 13 11 10 8 7 6 5 5 5 4 2 1 -1 -2 -1 1 4 7 9 10 11 9 7 7 7 8 8 7 7 7 6 5 5 5 5 5 5 6 6 7 7 7 8 9 9 10 9 9 nan
nan 11 12 13 14 14 14 14 13 10 7 6 6 9 14 16 17 16 16 17 19 19 18 18 20 22 21 18 16 14 11 9 9 9 9 8 7 7 7 6 6 9 10 12 13 12 10 10 10 9 8 8 8 8 8 7 5 5 5 6 7 9 11 12 12 12 11 10 9 8 8 8 8 8 7 6 5 5 3 1 2 2 1 1 0 -0 -0 1 4 6 8 7 7 6 6 5 5 6 6 6 7 7 7 8 8 8 9 9 10 10 10 9 nan
nan 13 13 13 13 13 14 15 14 12 10 9 10 11 13 14 14 13 14 16 18 18 17 18 20 22 22 21 19 15 12 11 11 10 8 7 6 6 6 6 7 9 10 13 14 12 11 10 9 9 9 9 10 10 9 8 7 7 7 7 8 9 10 10 11 11 11 10 9 10 10 10 10 9 9 9 9 8 5 2 -1 -4 -7 -9 -11 -9 -7 -4 -0 2 4 4 4 4 5 6 6 6 6 7 8 8 9 9 9 10 11 11 10 10 9 9 nan
nan 13 13 12 12 12 14 15 14 12 11 11 12 13 13 12 11 11 12 15 16 17 17 18 20 21 22 22 20 17 14 13 11 9 7 6 5 5 5 6 7 9 12 15 14 12 11 9 9 9 10 10 10 11 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 10 10 10 10 9 8 6 4 0 -4 -7 -8 -7 -6 -4 -3 -3 -4 -5 -4 -2 0 2 5 6 6 7 7 8 9 9 10 11 12 12 12 11 10 9 9 nan
nan 12 12 11 11 11 13 14 14 13 11 11 12 12 11 10 9 9 11 13 14 15 17 18 20 20 21 22 21 19 16 14 11 8 7 6 5 5 5 7 8 9 14 16 15 13 11 9 10 10 11 11 10 10 11 11 11 10 10 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 10 9 8 6 4 2 2 2 2 3 2 -0 -4 -8 -10 -9 -6 -4 -2 1 3 5 6 6 7 8 9 11 12 12 12 12 11 10 9 9 nan
nan 10 10 10 10 11 12 13 13 13 12 12 11 11 10 9 8 8 9 11 14 15 17 18 18 19 20 21 21 19 17 15 12 10 9 7 6 6 7 7 8 12 17 18 17 15 11 10 11 11 11 10 10 10 11 12 11 10 9 8 7 8 8 8 9 9 9 9 9 9 10 10 12 12 12 12 11 10 9 8 8 8 8 8 8 7 6 3 1 -2 -3 -3 -3 -3 -3 -2 -0 2 3 5 6 8 9 10 11 12 13 13 13 12 12 11 nan
nan 9 9 10 10 11 11 12 12 12 12 12 11 11 9 8 7 7 9 12 15 16 17 16 17 18 20 20 20 19 19 18 17 16 14 11 8 8 9 9 11 15 18 20 20 17 13 12 12 11 11 11 11 11 11 11 11 10 9 8 8 9 10 10 10 10 9 9 9 9 10 11 12 12 12 12 11 11 10 10 10 10 10 10 9 9 8 7 7 7 6 5 4 3 2 0 0 1 3 6 8 8 8 9 11 12 12 14 15 16 16 15 nan
nan 9 9 9 9 10 10 11 11 11 12 11 11 11 9 7 7 7 10 13 15 15 14 15 17 19 21 20 20 20 22 23 23 22 20 16 13 12 11 11 14 17 19 22 23 20 16 14 12 10 11 12 12 12 11 11 10 10 9 9 10 11 11 11 11 10 10 9 9 10 10 11 11 11 12 11 11 11 10 10 11 11 11 11 10 10 10 10 9 10 10 9 9 9 7 6 6 7 9 10 9 7 7 8 10 11 12 14 16 18 18 17 nan
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nan 9 8 9 9 9 9 9 10 10 10 11 12 11 10 8 8 9 11 12 11 10 10 12 15 18 19 20 20 21 22 23 23 22 20 18 17 16 16 16 17 18 20 23 23 21 18 14 12 12 12 13 13 11 11 10 10 9 9 10 10 9 9 8 7 7 7 7 8 9 10 10 11 11 10 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 10 11 11 11 11 13 12 9 5 -2 -7 -7 -5 -3 0 3 6 8 9 10 13 15 nan
nan 9 9 9 9 9 9 9 9 10 10 11 12 11 11 9 8 9 10 11 11 11 11 12 14 16 16 17 19 20 20 20 19 18 16 15 14 14 14 15 15 16 19 21 22 22 21 17 15 13 12 12 12 11 11 11 10 9 9 9 8 7 7 7 6 7 7 8 8 9 9 10 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 12 12 10 6 2 -2 -3 -3 -2 -1 -1 -0 -1 -0 1 3 6 10 nan
nan 9 9 10 10 10 9 9 9 9 10 10 11 11 10 10 11 11 12 13 13 12 12 12 13 14 15 15 16 16 16 17 16 14 13 12 12 12 12 12 13 15 17 19 21 23 23 19 17 14 12 12 12 11 12 12 10 9 8 7 6 6 6 6 7 7 8 8 9 9 9 10 11 11 11 10 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 11 11 12 12 11 9 8 7 6 6 7 6 5 4 1 -1 -3 -2 -1 -0 1 nan
nan 9 9 10 10 10 10 10 9 9 9 9 9 10 11 13 15 16 16 16 14 13 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 13 15 17 20 22 21 20 18 16 14 13 13 13 13 12 10 9 9 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 9 9 8 8 9 10 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 7 6 4 3 2 1 -1 -3 nan
nan 9 9 10 10 10 10 10 10 8 8 9 10 12 15 17 18 19 18 17 15 14 13 12 12 11 11 11 10 9 7 7 7 8 9 11 12 13 13 12 12 13 14 15 17 19 19 20 19 18 17 16 15 13 12 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 8 8 9 9 10 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 8 8 6 4 2 nan
nan 9 10 10 11 11 11 10 10 8 9 10 13 16 17 18 17 17 16 15 15 14 13 13 12 12 11 11 9 7 5 2 1 2 4 6 9 11 12 13 14 14 13 14 15 16 17 18 18 18 18 17 15 14 14 13 12 12 13 13 13 13 13 12 12 12 12 11 10 10 10 10 9 9 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 8 7 nan
nan 9 10 11 11 11 11 11 10 10 11 12 14 16 16 15 14 14 14 14 14 14 14 14 14 14 14 13 12 9 6 3 2 2 2 2 4 6 9 12 14 15 14 14 14 14 14 15 15 15 15 15 15 16 17 16 15 14 14 13 14 13 13 13 13 12 12 11 10 9 9 9 10 10 10 9 9 8 8 8 8 9 9 10 10 11 10 10 10 9 10 10 10 10 9 10 10 9 10 10 9 9 9 9 10 10 10 10 10 10 10 9 nan
nan 10 10 11 12 12 12 11 11 11 12 13 14 14 13 12 12 12 13 14 14 14 14 14 15 16 17 16 15 13 10 8 7 5 4 4 3 4 5 8 12 14 15 15 14 14 14 13 13 13 14 15 16 17 17 16 15 14 13 14 13 13 13 13 13 12 12 11 9 9 10 10 10 10 10 10 9 8 7 6 6 7 8 9 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 nan
nan 10 11 11 12 12 12 11 11 12 13 13 13 12 11 11 12 12 13 13 14 14 14 14 15 16 17 17 17 15 13 11 9 7 7 7 6 5 4 6 9 12 14 15 15 15 15 15 14 15 15 15 16 16 15 13 12 12 12 13 13 12 12 12 13 12 12 11 10 10 10 11 11 10 10 9 8 7 6 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 9 10 10 10 10 11 11 11 11 11 11 12 12 nan
nan 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 13 14 14 14 14 14 14 15 16 16 17 15 14 11 9 7 8 9 8 6 5 5 6 8 10 12 14 15 16 16 16 16 16 15 14 13 11 11 11 11 12 12 12 11 11 12 12 12 11 11 11 11 11 10 10 10 9 8 7 7 7 7 8 9 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 nan
nan 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 13 14 14 14 14 14 14 15 15 16 16 15 13 11 9 8 8 9 9 8 7 6 5 6 7 8 10 12 15 16 16 16 16 16 15 13 11 11 12 12 12 12 11 11 12 12 12 11 11 11 11 11 10 10 10 9 8 8 8 8 9 9 11 11 11 12 11 11 10 10 10 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 12 12 11 nan
nan 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 15 15 15 14 14 14 14 15 15 14 13 11 10 9 9 8 9 9 9 8 7 7 7 7 8 10 12 13 14 15 17 18 18 17 16 15 14 13 12 13 12 13 13 13 12 12 11 11 11 10 10 10 9 9 8 8 9 10 10 11 11 12 12 11 11 11 10 10 10 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 13 14 15 15 15 15 14 14 14 13 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 16 19 21 22 20 19 17 15 14 14 14 14 14 13 12 11 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 12 11 11 10 10 10 9 9 9 10 9 10 10 10 10 10 11 10 11 nan
nan 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 14 14 13 12 12 12 12 11 11 10 10 10 9 9 8 8 9 10 10 10 9 9 9 9 9 9 11 14 17 19 20 20 19 18 17 16 15 14 14 13 13 13 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 nan
nan 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 13 13 13 12 12 12 11 11 10 10 10 10 10 9 8 8 8 9 9 9 10 10 11 10 9 7 7 6 8 11 13 15 15 16 17 16 15 14 14 15 15 15 13 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 9 8 9 9 9 9 9 10 9 10 10 10 10 10 10 nan
nan 12 11 10 10 10 10 11 11 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 10 9 7 6 5 4 5 6 7 8 9 10 11 11 12 13 14 16 18 16 14 12 11 10 10 11 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 10 9 9 9 10 9 9 9 8 8 9 9 9 8 9 9 9 10 10 10 10 10 10 nan
nan 13 12 11 10 10 10 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 10 9 9 9 8 8 8 7 7 8 8 8 8 8 8 7 6 5 4 4 3 3 4 5 6 7 7 8 12 17 17 16 15 12 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 9 10 10 11 10 10 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 nan
nan 14 13 12 11 10 10 10 11 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 9 9 8 8 8 8 7 7 7 8 8 8 8 7 6 5 4 3 3 2 2 3 3 2 4 7 10 12 16 17 16 15 13 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 10 11 12 11 11 11 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 27 52 108 161 199 224 240 255 265 271 273 267 245 235 226 213 178 104 41 13 8 11 12 19 29 44 63 68 59 65 68 66 66 113 201 297 389 454 466 513 519 548 607 654 549 581 555 469 414 501 505 505 488 453 453 537 494 438 424 456 451 462 479 500 536 572 618 652 683 728 831 1016 1189 1309 1380 1436 1447 1423 1372 1303 1229 1152 1056 954 854 768 663 567 492 442 419
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