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 nan
nan 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 8 8 8 8 7 6 6 6 7 7 7 7 10 13 15 15 15 16 17 17 17 15 11 6 3 3 3 4 3 4 4 5 5 6 6 7 8 8 7 6 7 9 12 12 12 11 10 10 10 10 9 8 7 7 7 8 9 10 10 9 8 7 7 8 7 8 9 10 9 9 10 14 19 20 18 14 12 12 12 10 7 6 6 6 6 8 10 11 12 12 12 12 12 10 8 6 5 4 4 4 6 8 10 10 9 7 7 7 8 9 8 5 1 -1 -2 -1 1 3 2 1 -1 -2 -2 -1 -1 -1 -1 -1 -1 -0 1 3 5 5 6 7 8 10 nan
nan 8 8 9 9 9 8 7 7 7 7 8 8 8 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 8 10 13 15 16 17 18 18 18 17 14 8 4 2 3 3 3 3 4 4 5 5 6 6 7 8 8 6 4 3 5 6 7 7 7 7 7 8 8 8 7 6 6 7 8 9 10 10 9 8 7 8 7 7 8 9 10 10 9 10 14 18 20 18 15 13 12 11 9 7 6 6 6 6 8 10 11 11 11 12 12 11 10 8 6 4 3 3 3 4 6 8 8 8 9 9 10 11 12 13 11 7 3 0 -0 1 2 2 1 -0 -1 -0 0 0 0 -0 -0 -0 1 2 3 5 5 6 7 8 9 nan
nan 8 9 10 10 9 8 7 6 6 7 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 8 8 10 10 12 14 17 19 21 22 20 18 13 8 3 2 2 2 2 3 4 4 5 5 6 6 7 8 8 5 2 0 1 2 3 4 5 5 6 6 6 6 6 5 6 7 8 9 9 9 9 8 7 7 7 7 8 9 10 10 10 11 14 16 17 18 18 16 13 10 8 6 6 5 5 6 7 8 10 10 10 10 10 10 9 7 6 5 3 2 2 3 4 6 7 8 9 12 14 15 17 18 16 11 4 -0 -1 -1 0 0 -0 0 1 2 1 1 1 2 2 2 2 3 4 5 6 7 7 7 8 nan
nan 7 8 9 9 9 8 7 6 7 8 9 9 9 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 8 9 11 11 12 15 18 22 24 24 21 16 11 7 4 1 1 1 2 3 4 4 5 6 6 7 7 8 8 5 2 1 1 1 2 3 4 5 5 6 6 5 5 6 6 7 8 9 9 8 8 7 6 6 6 7 8 10 10 10 11 13 14 14 15 19 20 19 15 10 7 5 5 4 4 4 5 6 8 9 9 9 9 9 8 8 7 6 5 4 2 2 3 4 5 6 9 12 15 19 21 23 21 15 7 -1 -4 -2 -1 0 -0 1 3 4 3 3 3 3 4 4 4 4 5 6 7 7 8 8 8 nan
nan 6 6 7 7 8 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 6 6 6 6 7 8 8 8 7 7 7 7 7 7 8 8 9 12 14 15 18 21 24 25 23 18 12 7 5 3 1 0 1 2 3 4 5 5 6 6 7 8 9 8 6 4 3 3 3 3 4 4 5 6 6 6 6 6 7 7 7 8 8 8 8 7 7 6 5 6 7 9 9 9 10 12 15 15 14 16 20 22 20 16 11 8 5 4 4 3 3 4 5 6 8 8 8 8 8 9 9 9 8 7 6 4 3 3 2 3 4 7 10 15 19 23 25 24 20 11 2 -3 -4 -2 -0 0 2 4 5 5 5 5 5 6 6 5 5 6 6 7 7 8 8 8 nan
nan 6 6 6 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 7 8 7 7 8 8 8 7 7 7 6 6 6 7 7 6 6 6 7 8 8 8 8 7 7 7 8 8 8 8 10 12 16 19 22 25 26 24 19 12 7 5 4 2 0 0 1 2 3 4 5 6 6 7 8 9 9 8 7 6 6 5 5 5 5 6 6 7 7 7 7 8 8 8 7 8 8 8 8 8 7 6 5 6 7 8 8 8 10 13 15 15 14 17 20 21 19 15 12 8 6 5 4 3 3 4 5 6 7 8 8 8 8 9 9 9 9 8 7 6 5 3 2 2 2 4 8 12 17 21 23 24 23 17 8 2 -1 -2 -1 0 2 4 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 nan
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nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 6 6 7 7 7 7 6 7 8 8 8 8 7 8 8 8 8 8 11 13 14 13 14 18 24 28 26 19 10 4 1 1 0 -1 -1 0 2 3 4 5 6 6 7 8 9 10 9 9 9 9 8 8 8 9 10 10 10 9 9 9 9 10 10 9 8 7 7 8 9 9 8 6 5 5 6 6 5 5 7 9 9 9 8 9 10 11 11 10 10 10 10 9 7 6 4 4 5 7 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 5 4 2 2 5 8 11 14 17 19 18 15 11 7 5 3 2 4 6 7 8 9 9 9 10 10 9 9 8 8 8 8 8 8 8 nan
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nan 7 7 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 10 13 17 22 22 18 12 5 0 -1 1 2 3 4 5 6 8 11 13 14 13 12 11 11 13 13 13 11 10 9 9 9 10 9 8 7 7 7 7 7 9 11 13 14 13 12 10 10 11 14 18 19 16 11 7 6 6 7 6 6 7 8 7 8 8 9 11 11 9 8 7 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 6 6 6 3 0 -3 -4 -2 0 2 3 4 4 5 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 nan
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nan 13 13 13 13 14 15 18 20 24 25 24 20 15 12 12 12 12 11 8 4 2 0 0 2 6 13 20 23 22 20 18 19 19 20 20 19 17 14 12 10 8 8 8 8 6 4 1 0 2 5 7 7 5 4 3 4 6 7 7 7 7 6 7 7 7 8 8 9 8 7 7 7 6 6 6 5 5 6 7 7 8 8 7 7 6 6 7 7 8 9 10 12 14 15 16 14 13 12 14 16 16 14 11 8 7 7 7 6 5 4 3 3 4 5 6 7 8 8 9 11 13 14 14 14 12 11 13 14 14 12 10 9 9 10 12 13 14 14 12 9 7 5 4 4 5 7 8 9 9 8 7 7 7 7 6 5 6 8 10 10 9 7 6 7 8 8 7 6 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 10 12 12 12 13 15 16 19 21 23 21 17 13 11 11 10 10 9 7 4 1 -0 0 4 9 17 22 22 19 15 14 15 17 19 20 19 16 13 11 9 8 8 7 6 4 1 -2 -1 4 8 10 10 7 6 6 7 8 9 9 8 8 8 7 8 7 7 7 7 7 7 7 7 7 6 5 4 4 4 5 6 7 7 7 7 6 6 7 8 8 9 9 10 12 13 15 15 14 14 16 19 20 17 13 8 7 7 8 7 6 5 4 3 3 4 5 6 7 7 8 9 10 10 10 11 14 17 19 19 16 12 8 6 6 7 9 11 13 14 13 10 7 4 2 2 4 8 10 11 11 10 9 8 8 8 8 8 9 11 12 11 9 8 7 8 8 8 6 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 6 8 9 10 11 13 16 18 19 20 19 16 13 11 10 9 7 6 4 2 1 0 2 7 14 20 22 19 16 15 13 13 13 14 15 15 14 12 10 9 8 7 5 3 1 0 -0 3 7 11 11 10 9 8 8 9 9 9 9 9 9 9 8 8 7 6 6 7 8 8 8 7 7 7 6 6 5 5 5 5 6 7 8 7 6 6 6 8 9 9 9 9 10 12 15 17 16 16 17 17 16 14 10 7 6 6 7 7 7 6 5 5 4 4 6 6 6 6 6 6 7 7 7 10 15 20 21 19 15 11 8 6 6 6 7 7 8 10 11 9 7 4 2 2 5 9 11 11 11 11 10 9 9 9 8 9 10 12 12 12 10 9 9 9 8 7 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 2 5 7 9 12 14 17 18 19 18 17 15 13 12 10 8 5 3 1 0 0 1 6 12 18 20 18 15 13 13 13 11 11 11 11 12 12 11 10 8 7 6 4 3 2 3 5 9 12 13 12 10 9 8 9 10 10 10 10 11 11 10 9 7 6 6 7 8 9 9 8 7 7 7 7 7 6 6 5 5 6 7 8 8 7 6 6 7 8 8 8 8 10 11 15 17 17 16 15 13 10 8 6 4 4 4 5 6 7 7 7 6 6 6 8 8 7 6 5 4 4 5 6 9 13 16 15 13 10 8 8 8 8 9 8 8 7 7 7 7 7 6 6 6 8 10 11 11 11 10 9 9 8 8 7 8 9 11 11 11 11 10 9 8 7 6 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 nan
nan 2 5 8 12 15 17 19 20 19 18 17 15 13 11 9 7 4 1 -1 -1 1 5 11 16 19 18 13 11 10 10 9 8 8 9 9 10 10 9 8 7 7 6 5 5 5 7 10 13 15 14 12 10 9 9 10 11 12 13 13 13 12 10 8 7 6 6 8 9 9 9 8 7 7 7 6 6 6 5 5 5 5 7 8 8 8 6 6 6 6 7 8 9 10 12 15 17 16 14 12 9 7 5 4 3 3 3 4 5 6 6 7 6 7 8 10 11 10 8 5 3 3 4 6 8 10 11 9 8 6 6 7 8 10 11 12 12 10 9 7 7 8 9 9 10 12 13 13 12 11 10 9 8 7 7 7 7 8 9 10 10 10 10 9 7 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 nan
nan 4 7 11 16 18 20 20 20 19 18 17 15 13 10 8 5 2 -0 -1 -0 3 9 15 19 18 15 11 10 9 7 6 5 5 6 7 7 7 7 7 6 6 6 7 8 10 11 14 15 15 14 13 12 10 10 11 12 14 15 15 14 12 10 8 7 7 8 9 9 9 9 8 8 7 7 7 7 6 6 5 5 5 6 7 8 8 7 6 5 5 6 7 9 11 14 16 16 14 11 9 8 7 8 7 6 5 4 4 5 5 5 6 6 7 9 12 14 14 11 8 5 4 4 6 8 8 8 8 7 6 5 6 6 8 11 13 14 14 13 12 11 11 11 11 12 13 13 13 13 12 11 9 7 6 7 7 8 8 8 9 9 9 9 8 7 6 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 nan
nan 7 10 15 18 20 20 19 19 18 17 16 14 12 8 6 4 2 1 -0 1 6 13 18 19 17 14 12 11 10 7 5 3 3 3 4 4 5 5 6 6 7 8 9 12 14 16 16 16 15 14 13 13 12 12 12 13 15 17 16 14 12 10 8 8 8 9 10 10 9 8 8 8 9 9 9 9 9 8 6 5 5 5 7 8 9 8 7 6 5 6 7 9 11 14 16 15 13 10 9 9 9 11 11 10 8 6 5 4 4 5 6 7 8 10 12 14 15 13 11 8 7 7 8 8 9 9 10 10 9 7 6 6 7 8 11 13 13 14 14 14 13 11 11 11 11 12 13 13 13 12 10 8 8 9 9 9 9 8 8 8 8 8 8 7 6 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 nan
nan 10 13 18 20 20 19 18 17 16 15 13 11 9 6 4 3 2 2 2 5 10 17 21 21 18 15 14 13 11 7 5 3 2 1 1 2 3 4 5 7 8 10 11 14 17 19 19 17 15 13 13 13 13 13 13 13 14 15 15 13 12 11 10 9 8 9 9 10 9 9 9 10 11 12 12 12 11 9 7 5 5 5 6 7 8 8 7 7 6 6 7 8 10 13 14 14 12 10 9 9 10 11 12 11 9 8 5 4 4 5 7 8 9 10 12 13 13 12 11 10 10 10 10 10 11 11 11 11 11 9 8 7 7 7 8 10 10 11 12 12 11 10 10 10 11 12 12 13 13 13 11 11 11 12 12 11 9 8 8 7 7 7 7 7 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 nan
nan 10 14 18 19 19 18 16 15 14 12 10 7 5 3 2 3 4 5 8 12 17 22 25 23 20 17 15 13 10 7 5 3 1 0 0 0 1 2 4 7 8 10 11 13 16 19 19 18 16 14 13 13 12 12 12 12 12 12 12 11 11 11 11 9 9 9 9 9 9 10 10 11 12 13 13 12 10 8 6 4 4 4 5 6 7 8 8 8 7 7 7 8 10 11 12 12 12 11 10 9 9 10 10 11 10 9 7 5 5 6 8 10 9 9 9 10 10 9 9 9 9 10 11 12 12 12 12 12 12 11 9 8 8 7 7 8 9 9 9 9 8 8 9 10 11 12 12 13 13 13 13 14 16 16 14 12 9 8 7 7 7 7 7 7 6 5 5 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 9 nan
nan 9 14 18 18 17 16 14 13 11 9 6 3 1 1 2 5 8 11 16 19 22 24 24 22 20 17 14 11 9 7 5 3 2 1 1 1 1 2 3 5 7 9 10 11 12 15 17 17 16 15 14 14 14 13 13 12 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 11 10 8 6 5 4 4 4 4 5 6 8 8 9 8 8 8 8 10 11 11 11 11 11 10 10 10 10 11 12 12 10 8 7 6 8 10 10 9 8 7 7 7 6 6 6 7 8 9 10 11 11 11 11 11 11 10 9 8 7 7 8 10 11 10 8 6 6 8 9 10 11 12 12 13 13 14 16 18 17 16 13 10 8 7 7 7 7 7 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 8 8 8 9 9 9 9 9 nan
nan 10 15 18 18 16 14 12 10 7 5 2 -0 -0 1 5 10 14 18 21 22 22 21 19 17 15 13 11 9 7 6 5 4 4 3 3 2 2 2 2 4 6 8 9 9 9 10 12 14 15 15 15 15 15 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 7 7 7 6 4 3 3 5 7 8 9 9 9 9 10 11 11 11 10 10 10 11 11 12 13 15 14 13 11 9 8 8 9 11 10 9 7 6 6 5 5 5 5 5 6 6 7 7 8 8 9 9 9 9 9 8 8 9 10 12 14 13 11 7 6 6 7 8 9 11 12 13 14 16 18 18 18 15 12 10 8 7 7 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 6 6 7 7 7 8 8 8 9 9 9 9 9 9 nan
nan 13 18 19 19 17 14 11 8 4 0 -2 -2 1 5 11 15 18 19 20 20 18 17 14 12 10 9 9 7 6 5 5 5 5 5 5 4 3 2 2 4 6 7 8 8 8 8 9 12 13 14 15 15 15 15 15 14 13 12 12 11 10 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 10 10 9 6 3 2 4 6 8 9 9 9 10 12 13 12 11 9 8 8 10 12 15 17 17 16 13 11 9 9 10 12 12 11 9 8 7 6 6 5 5 5 5 5 5 5 5 6 6 7 8 7 7 7 8 8 9 11 13 15 16 14 11 8 7 7 7 8 10 11 13 14 16 18 18 17 14 11 9 8 7 6 6 6 5 5 5 4 4 4 5 5 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 10 nan
nan 17 20 20 20 18 14 10 6 2 -2 -4 -2 4 10 15 18 17 16 15 16 16 15 13 11 10 10 9 8 7 6 5 5 6 6 6 5 3 3 3 5 6 7 8 8 8 8 8 10 12 13 13 13 13 13 13 13 13 13 12 12 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 11 11 12 12 11 8 5 4 4 6 7 7 8 9 11 13 14 13 10 8 7 7 8 12 16 18 17 15 12 10 9 10 11 11 11 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 7 7 8 9 10 13 14 14 13 11 9 8 8 8 9 10 11 13 15 16 16 15 13 11 9 8 7 6 6 5 5 5 4 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 10 10 10 10 10 10 nan
nan 20 21 20 19 17 14 9 5 1 -2 -3 1 8 13 16 16 14 12 12 13 14 14 13 11 10 10 10 9 8 7 7 7 7 7 6 5 4 4 5 6 7 7 8 8 8 8 9 9 11 12 12 12 12 11 12 13 13 13 12 11 10 9 9 9 9 10 10 11 11 10 10 11 11 11 11 11 11 10 10 10 9 8 6 6 6 6 7 7 8 9 11 12 13 12 10 8 7 7 8 11 15 16 15 14 11 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 7 7 7 7 8 9 10 12 13 13 13 12 11 9 9 8 8 9 10 11 12 13 13 12 11 10 8 7 6 5 5 4 4 4 4 4 5 5 5 5 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 11 nan
nan 19 19 18 17 15 13 9 4 1 -1 0 5 11 14 14 12 11 10 10 12 13 13 12 11 9 9 8 8 8 8 8 8 8 7 6 5 5 5 6 7 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 12 12 11 10 9 9 9 9 9 10 10 11 11 11 12 12 11 11 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 9 10 12 12 11 10 9 8 7 7 10 13 14 14 12 10 7 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 9 10 11 11 11 9 7 6 6 7 7 8 8 8 9 9 9 10 12 13 13 13 13 11 9 8 7 7 8 9 10 12 12 11 11 10 9 7 6 5 5 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 nan
nan 17 16 15 14 13 12 9 5 1 0 3 8 13 14 12 10 8 8 9 10 12 12 11 9 8 7 6 6 7 8 9 10 10 8 7 6 6 7 7 8 9 9 8 8 8 9 9 9 9 9 10 11 12 13 12 12 11 11 10 10 9 9 9 9 9 9 10 10 11 12 12 11 10 9 8 7 6 5 5 5 6 7 7 8 8 8 8 8 9 9 10 11 12 12 11 10 9 7 7 9 12 13 13 11 8 4 2 1 1 1 2 3 4 5 6 7 8 8 8 8 9 10 12 13 14 13 10 8 7 7 7 8 9 9 10 10 10 10 10 11 12 12 12 12 12 10 9 8 8 8 9 11 13 13 12 13 11 10 8 6 5 4 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 nan
nan 15 14 13 13 12 10 9 6 3 1 4 10 14 14 12 9 7 7 8 9 10 10 9 8 6 5 4 4 6 8 9 11 11 11 9 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 10 11 12 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 7 6 6 5 5 5 6 7 8 8 9 9 9 9 9 9 10 10 11 12 12 11 10 9 8 10 12 13 12 10 7 3 0 -1 -1 -1 0 1 2 4 6 8 9 9 9 10 10 11 13 14 14 13 11 9 8 8 8 9 10 10 11 10 10 10 9 10 11 11 11 11 11 11 11 10 10 10 11 15 17 17 15 14 12 10 8 6 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 nan
nan 13 13 13 12 11 10 9 7 4 2 5 11 16 17 15 11 8 7 7 9 9 9 8 7 5 4 3 3 4 6 7 9 11 11 11 11 10 10 9 8 8 9 9 10 11 10 10 10 9 9 10 10 11 12 11 11 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 7 7 8 9 9 9 9 9 8 9 9 9 9 10 10 10 9 9 10 11 13 15 14 12 9 6 4 2 1 0 0 1 2 4 6 9 11 12 12 12 12 12 12 13 13 12 11 10 9 9 9 10 10 11 11 12 11 11 10 9 9 9 9 10 11 11 11 11 11 11 12 14 18 20 20 18 15 13 10 8 6 6 5 5 5 5 5 6 6 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 9 nan
nan 9 10 12 12 12 11 9 6 4 3 7 14 20 21 19 14 10 8 7 8 9 9 8 6 5 4 3 3 3 4 4 6 7 9 11 12 12 11 10 9 9 9 10 11 12 12 11 11 10 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 11 12 13 12 10 9 8 9 10 10 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 9 12 15 16 16 13 10 7 5 5 6 6 6 7 9 10 12 14 16 16 16 16 15 14 13 12 11 11 10 9 9 9 9 10 10 11 11 12 12 12 11 10 9 9 9 10 11 11 10 11 11 12 14 17 21 22 20 17 15 12 10 8 7 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 nan
nan 8 8 9 10 11 10 9 6 3 4 9 16 22 22 20 15 11 8 8 9 10 10 8 7 6 6 5 5 4 3 3 3 4 6 8 11 12 12 11 10 10 10 11 12 13 14 13 12 12 11 10 11 11 10 10 10 9 9 9 9 9 9 9 10 11 13 14 14 12 10 9 9 9 9 9 8 7 7 6 7 7 8 9 9 9 9 9 9 9 9 8 6 5 4 4 5 7 9 12 14 16 16 15 12 9 8 8 9 11 13 16 18 19 20 21 21 20 19 18 16 14 13 11 10 9 9 9 8 8 8 8 8 9 10 11 12 12 12 12 11 10 10 11 12 11 10 10 11 13 16 20 22 22 19 16 13 11 10 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 nan
nan 11 8 7 8 9 10 10 8 6 7 12 16 20 20 17 13 10 8 9 10 11 10 9 7 7 7 7 7 6 5 4 3 3 4 6 9 11 12 11 11 10 10 12 13 14 15 15 14 13 11 10 9 9 9 9 9 8 8 7 8 8 8 8 9 11 12 13 14 14 12 10 9 8 7 7 7 6 5 5 5 7 7 8 9 9 9 9 10 10 9 6 4 2 1 3 5 6 8 10 12 14 15 15 14 13 12 12 13 14 17 20 23 24 25 24 23 21 20 18 16 14 12 10 9 9 8 8 7 7 6 6 6 7 8 9 10 12 12 13 13 12 13 14 13 12 11 11 12 14 18 22 23 21 18 15 12 10 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 nan
nan 15 13 9 8 9 10 11 11 11 11 14 15 15 14 12 10 9 8 9 10 10 9 8 7 7 7 8 8 7 6 5 4 4 4 6 8 10 12 11 10 10 10 11 13 14 14 14 13 12 10 8 7 8 8 8 7 7 7 7 7 7 8 8 9 10 11 12 13 14 13 12 10 8 7 7 6 5 4 4 4 5 6 8 8 9 9 9 10 9 7 4 2 2 3 5 6 5 6 8 10 13 14 14 14 15 15 16 17 17 19 21 23 23 22 21 19 18 17 16 14 13 11 9 8 8 7 6 6 6 5 5 5 6 7 8 9 11 12 13 14 14 15 16 15 13 12 10 11 14 17 20 21 20 17 14 12 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 nan
nan 17 17 14 11 10 10 11 12 13 14 14 13 11 10 9 9 9 9 9 10 10 9 8 7 7 8 8 7 7 6 6 5 5 5 6 8 10 11 11 10 9 9 10 11 12 12 12 11 10 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 9 10 11 12 13 13 12 11 9 8 8 7 6 5 4 4 5 6 7 8 9 9 9 9 7 5 3 3 5 7 9 7 5 5 7 10 12 13 13 13 15 16 18 19 19 20 20 19 18 17 15 14 13 13 13 12 12 10 9 8 7 7 6 5 5 5 5 5 6 7 9 10 11 12 14 15 16 17 17 15 13 11 9 9 10 13 15 16 16 14 12 11 10 10 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 nan
nan 16 17 16 15 13 12 11 12 12 12 11 10 9 9 9 10 10 10 9 9 10 9 9 8 9 10 9 8 7 7 6 6 6 5 5 6 8 9 10 10 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 9 10 10 11 11 12 11 11 10 10 9 8 7 6 6 5 5 6 7 8 8 8 8 7 6 3 2 4 7 10 10 8 7 7 9 11 13 13 13 13 14 16 17 18 18 18 17 16 14 13 11 10 10 10 11 11 12 11 10 9 8 7 6 6 5 5 6 6 7 9 10 12 13 14 15 16 17 16 15 13 11 8 8 8 9 10 11 11 11 11 11 11 11 11 10 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 10 10 11 11 11 nan
nan 13 13 14 15 14 14 13 12 11 10 8 7 7 8 9 11 11 11 10 10 10 10 10 10 11 12 11 9 8 7 6 6 5 5 4 4 5 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 6 5 5 6 7 7 8 8 8 6 5 3 3 5 8 10 10 8 8 9 11 13 14 14 14 13 13 14 15 15 15 14 14 13 12 11 10 9 9 9 10 11 12 12 11 10 9 8 7 7 6 7 7 7 9 10 12 13 15 16 16 16 16 14 12 11 9 8 10 12 13 12 10 9 8 9 10 11 11 11 11 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 10 11 11 11 12 12 nan
nan 13 10 8 10 12 13 14 14 12 10 8 7 7 8 9 11 12 11 11 10 10 10 9 10 11 12 12 10 9 7 6 5 5 5 4 4 4 5 6 7 8 8 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 6 5 5 5 6 7 7 8 7 6 5 5 5 6 8 9 9 8 9 11 13 15 17 17 15 13 13 13 13 13 12 12 11 11 11 10 9 8 8 8 9 10 11 11 10 9 9 8 8 8 8 8 8 8 9 11 12 14 15 16 15 14 12 11 10 10 10 13 17 20 19 17 12 9 8 8 10 11 12 11 10 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 10 10 11 11 11 11 11 nan
nan 13 9 6 6 8 11 14 15 15 13 11 9 9 9 10 10 11 11 10 10 9 8 8 9 11 11 11 10 8 7 6 6 6 6 7 7 6 5 6 7 7 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 8 8 8 9 9 8 8 8 7 7 6 5 5 5 5 6 6 6 7 7 7 6 6 7 8 9 9 8 9 10 12 14 17 18 18 15 14 13 12 12 11 11 10 9 9 9 9 8 8 7 7 8 9 9 9 9 8 8 8 9 9 9 8 9 9 9 11 12 14 14 14 12 11 9 9 10 11 14 19 24 25 24 20 14 10 8 9 10 11 11 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 11 11 11 11 11 nan
nan 11 8 6 7 9 11 14 16 18 16 14 13 12 11 10 10 9 9 9 9 8 7 7 7 9 9 9 9 8 8 7 7 8 8 9 10 9 8 8 7 8 8 9 9 8 7 7 7 9 10 10 9 9 8 8 8 8 8 8 9 10 11 11 10 9 8 7 8 8 9 8 8 8 8 8 7 6 6 5 5 5 6 6 6 6 6 6 6 7 7 8 9 10 9 9 10 11 12 14 16 18 17 15 13 12 12 11 11 10 9 9 8 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 10 12 13 13 12 10 9 8 9 11 14 18 22 25 25 23 19 13 9 8 9 10 10 11 10 9 8 7 7 6 6 6 6 5 5 5 6 6 6 6 7 7 8 8 9 9 9 9 10 10 10 11 11 11 11 11 nan
nan 10 9 8 9 11 13 15 17 19 18 17 14 13 11 10 8 7 8 8 8 7 6 6 6 7 8 8 9 9 9 9 9 10 10 10 11 11 10 9 8 8 9 9 9 9 8 8 8 10 11 11 9 8 7 7 7 8 8 9 10 11 12 12 11 10 9 9 10 10 10 10 9 9 9 9 8 7 6 5 6 6 7 7 7 6 6 6 6 7 8 9 10 11 10 10 10 11 12 14 16 17 15 13 12 11 11 10 10 9 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 10 12 15 18 20 21 20 18 15 11 9 8 8 8 9 9 8 8 7 7 6 6 6 5 5 5 5 5 6 6 7 7 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 nan
nan 11 11 11 11 12 14 16 18 19 18 16 14 12 10 9 7 6 6 6 6 5 5 5 5 6 7 8 9 10 11 11 12 11 10 10 10 10 9 8 8 8 9 10 10 9 8 8 10 11 13 12 10 8 7 7 7 8 9 10 12 13 13 13 13 12 12 13 14 15 14 13 11 10 10 9 8 7 6 6 6 6 7 8 9 9 9 8 8 7 8 10 11 11 11 10 10 11 12 14 15 15 14 12 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 11 12 14 15 16 16 15 13 11 10 8 7 7 7 6 7 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 8 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 nan
nan 12 12 13 12 12 13 14 16 17 17 15 13 11 9 8 7 6 6 5 5 4 4 4 5 6 8 9 9 10 12 13 13 12 11 9 8 8 7 7 8 8 10 11 11 10 9 10 11 13 14 12 10 8 7 7 8 9 10 12 14 14 15 15 14 14 14 16 19 20 19 18 15 13 10 9 7 7 6 6 7 7 8 10 12 13 12 11 9 9 9 10 11 11 11 10 9 10 11 13 15 15 13 11 10 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 nan
nan 11 11 12 13 13 12 13 14 15 15 14 12 11 9 8 7 7 6 5 5 5 5 5 6 7 8 9 9 10 12 13 14 13 11 9 8 7 7 7 7 9 11 13 13 12 11 12 13 14 15 13 10 8 7 7 8 9 11 13 14 15 15 15 15 15 16 18 21 23 23 21 19 15 11 9 8 7 8 8 9 9 10 12 13 14 13 12 10 9 9 10 10 10 10 9 9 9 10 12 14 14 13 11 9 7 6 5 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 6 6 7 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 nan
nan 7 9 11 13 14 14 13 13 13 13 13 12 11 10 9 8 7 7 6 6 6 6 7 8 8 9 10 10 10 12 13 13 13 12 10 8 7 6 6 6 8 11 14 15 14 14 14 15 16 16 13 10 8 7 7 8 10 12 13 14 14 14 14 14 15 17 19 22 23 23 22 19 15 11 9 9 10 11 12 12 12 13 14 15 14 13 11 10 9 9 9 10 10 9 9 9 9 9 10 12 12 11 10 8 6 4 3 2 3 3 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 7 8 8 9 10 10 10 8 6 5 5 5 5 5 6 6 7 7 8 9 9 10 10 10 10 9 9 9 9 8 9 9 10 10 10 10 11 11 11 nan
nan 6 7 10 12 14 15 15 14 13 12 12 11 11 10 10 9 8 7 7 7 7 8 9 10 11 11 12 11 12 12 13 14 13 12 10 8 6 5 4 4 6 10 12 14 15 16 17 18 18 16 13 10 8 7 7 9 10 12 13 13 13 13 13 14 15 17 19 21 22 22 20 18 15 12 10 12 13 15 16 16 15 16 17 17 15 12 10 9 8 9 9 9 9 9 9 8 8 8 9 10 10 9 8 6 4 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 6 7 8 8 8 7 6 5 5 6 8 10 12 14 14 13 10 8 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 nan
nan 8 8 10 12 14 16 17 16 14 12 11 11 11 11 10 9 8 8 8 9 9 10 11 12 13 13 14 13 14 14 15 15 14 12 10 7 5 4 3 3 5 7 10 12 14 17 19 19 19 16 12 9 7 6 7 9 10 11 11 11 11 11 12 13 15 17 19 19 19 19 17 16 14 12 12 14 15 17 17 16 16 16 17 17 15 12 10 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 7 5 4 3 3 4 6 7 8 7 7 6 5 6 6 6 6 6 6 7 9 10 12 13 13 12 11 9 8 8 8 8 8 9 8 8 7 6 6 6 7 8 9 8 7 4 3 5 8 11 14 16 17 16 14 11 9 7 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 11 nan
nan 11 10 10 12 14 16 17 16 13 11 11 11 11 11 10 9 8 9 9 11 11 12 12 13 14 15 15 15 16 16 16 15 13 10 8 6 4 4 4 4 4 6 8 11 13 16 18 18 17 15 11 8 6 6 7 9 10 10 9 9 8 9 10 12 14 16 17 17 17 16 15 14 13 13 14 15 16 16 16 15 15 15 15 15 13 12 11 10 11 11 11 10 9 9 8 7 7 7 8 7 7 6 6 5 5 5 5 7 9 10 10 9 8 6 5 6 6 6 6 7 8 10 13 16 18 19 18 16 13 11 9 9 8 8 9 8 8 7 6 5 5 6 6 7 8 6 4 2 2 6 10 14 17 18 18 15 12 10 8 7 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 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 nan nan
CAPE
13 14 14 13 14 10 16 11 6 5 5 6 7 10 10 12 12 11 11 11 8 6 5 5 5 5 6 7 9 9 10 10 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 1 0 0 0 18 48 87 147 229 294 313 845 2312 3039 3288 3477 3622 3806 3904 3981 4115 4120 4196 4189 4198 4364 4169 2827 1782 1786 1695 1521 1412 1408 1467 1536 1547 1507 1488 1452 1355 1310 1351 1486 1712 1936 2038 1971 1883 1847 1796 1711 1623 1542 1455 1348 1247 1272 1428 1596 1713 1754 1798 1864 2044 2217 2305 2158 2073 2041 1949 1808 1701 1667 1673 1650 1567 1496 1475 1463 1384 1199 933 664 478 370 335 344 431 570 708 793 833 893 950 969 914 851 781 627 386 159 42 20 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 32 167 475
16 16 16 15 13 12 16 10 9 7 7 8 10 12 12 11 11 10 10 9 7 6 5 4 5 5 7 8 8 8 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 5 4 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 3 1 0 0 3 33 77 127 184 240 328 653 1633 2916 3318 3528 3634 3677 3823 3968 4122 4286 4365 4421 4406 4472 4325 3632 2472 1739 1780 1661 1479 1387 1386 1465 1562 1604 1587 1544 1432 1344 1286 1306 1464 1721 1928 1934 1768 1659 1647 1611 1543 1492 1454 1362 1179 991 979 1195 1443 1835 1793 1644 1780 2088 2344 2356 2217 2118 1996 1833 1702 1652 1660 1666 1625 1558 1524 1514 1453 1262 974 677 447 296 199 136 114 138 211 289 344 390 470 591 700 748 794 821 697 413 135 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 24 106
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