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 13 13 13 12 11 9 7 6 6 6 7 7 7 7 7 6 6 7 9 10 11 12 13 14 16 17 20 22 21 17 11 8 6 7 8 8 9 9 9 8 6 3 2 2 2 2 3 4 6 8 8 8 6 3 1 2 3 5 5 4 4 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 11 14 15 15 14 13 11 9 8 8 8 7 7 6 5 5 5 6 6 6 7 7 7 7 8 9 9 9 8 8 8 9 8 7 7 7 8 10 11 11 10 9 8 8 8 9 8 8 8 9 9 10 10 10 nan
nan 8 11 12 10 7 6 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 9 10 12 13 15 18 19 16 12 8 6 6 6 6 7 7 8 8 7 5 5 5 6 7 6 5 5 6 7 8 8 6 4 2 2 5 6 5 5 6 6 7 7 7 6 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 9 8 8 8 9 9 9 9 9 9 9 8 8 6 5 6 7 8 9 9 10 12 14 15 14 13 12 10 9 8 8 8 8 8 6 6 6 6 6 6 6 6 7 7 8 9 10 10 9 9 9 9 9 8 7 7 9 10 11 11 11 11 9 8 8 8 8 8 8 9 9 9 9 9 nan
nan 9 11 10 7 4 4 4 5 6 6 6 5 6 6 6 6 6 5 5 6 6 6 8 10 11 13 14 13 10 6 4 4 4 4 5 6 7 8 8 8 8 8 9 10 10 9 7 6 6 7 9 10 9 6 3 3 5 6 6 6 7 8 8 8 8 7 5 5 5 5 6 6 6 7 7 8 8 7 7 8 8 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 9 9 9 9 9 10 10 9 9 8 8 7 5 5 7 8 9 9 10 11 12 12 12 11 11 10 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 7 8 10 11 11 11 10 10 10 9 9 8 8 9 10 10 11 12 11 11 10 9 9 9 8 9 9 10 10 9 9 nan
nan 10 9 7 4 3 3 5 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 7 9 11 12 11 8 4 2 2 3 3 3 3 5 7 8 9 10 10 10 9 8 8 8 7 6 5 7 9 11 10 7 4 3 4 5 6 6 6 8 9 9 9 7 6 6 5 5 5 5 6 7 8 8 7 7 7 7 7 6 6 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 9 9 9 10 9 9 9 9 10 10 10 10 9 9 8 7 6 6 7 8 8 9 9 10 9 9 9 9 9 9 9 9 9 10 10 11 10 9 7 7 7 7 7 6 6 7 8 10 11 11 11 11 11 11 10 9 9 8 8 9 9 10 11 12 11 11 11 11 11 10 10 11 11 11 11 10 nan
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nan 7 8 11 12 10 8 7 6 5 5 6 7 7 6 5 6 7 8 9 9 7 6 6 6 7 9 11 13 13 11 9 7 7 8 10 11 10 9 7 6 6 7 9 12 14 13 9 7 8 9 10 9 10 12 13 12 9 6 2 2 4 6 8 9 8 5 4 4 6 8 8 6 5 5 5 6 7 7 7 7 6 6 5 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 12 11 11 10 9 9 9 9 9 9 10 10 11 11 10 8 6 5 5 4 3 2 2 2 4 5 7 7 7 8 8 8 10 12 14 15 14 13 13 14 14 13 12 12 11 10 9 9 9 8 8 8 8 8 nan
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nan 3 6 7 7 7 7 7 8 10 12 14 17 18 15 10 3 -1 -0 4 7 9 10 11 11 10 8 8 7 7 7 7 6 4 3 3 5 6 6 6 6 7 9 12 13 12 11 10 10 9 8 9 9 10 10 11 10 8 6 6 7 10 12 12 11 10 10 9 8 8 7 7 7 7 8 8 9 9 8 7 6 6 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 9 9 10 10 10 9 10 9 9 9 9 10 10 11 12 12 13 13 14 13 12 10 9 9 10 10 10 9 8 8 10 12 11 10 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 nan
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nan 8 4 -1 -5 -4 -2 -1 -1 2 7 12 14 15 14 11 8 6 5 5 6 9 12 15 17 16 15 13 11 9 8 9 10 11 10 8 6 5 5 7 9 11 14 15 16 13 10 8 7 9 12 17 18 15 12 9 9 11 12 11 8 6 6 7 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 10 10 10 10 11 11 12 12 11 10 9 8 8 8 8 8 8 9 8 7 6 7 10 11 11 10 9 9 8 9 9 9 9 10 10 10 9 nan
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nan 10 7 7 9 12 14 14 13 10 7 5 6 7 10 10 9 6 5 6 6 5 5 7 10 11 10 7 7 8 8 6 2 2 5 10 13 14 12 11 10 9 9 11 13 14 14 12 11 10 9 8 8 8 9 9 10 12 14 14 11 9 10 13 14 12 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 7 7 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 10 10 9 9 9 10 11 11 11 10 9 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 7 6 6 6 6 5 5 5 7 8 9 8 8 8 nan
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nan 9 11 13 13 13 12 10 9 8 8 10 10 9 7 6 7 12 17 17 14 12 10 11 11 10 9 7 5 5 6 6 6 6 6 6 5 5 5 5 6 8 10 11 12 12 11 11 10 9 10 11 12 13 12 12 11 10 10 11 11 12 12 13 13 14 13 13 11 10 8 7 7 7 8 8 8 9 8 8 8 7 8 9 10 11 11 11 11 10 10 9 9 8 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 7 7 7 8 10 10 12 13 15 16 16 15 14 12 10 9 10 10 11 11 10 10 9 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 8 7 8 8 9 9 9 10 10 11 11 9 8 8 8 8 9 11 13 15 15 nan
nan 9 11 14 15 15 14 12 10 9 9 10 11 11 10 10 11 15 17 15 12 10 9 10 11 10 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 9 13 15 15 14 13 11 10 10 10 12 13 13 13 12 11 11 11 11 11 11 11 11 11 12 12 11 10 8 7 7 7 6 7 7 8 9 9 9 9 8 9 9 10 11 11 11 10 10 9 9 9 8 8 7 7 7 8 8 9 9 10 10 10 10 9 9 10 11 12 12 12 11 9 8 7 7 7 9 10 11 11 12 14 17 19 19 17 14 11 11 11 12 12 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 10 9 8 7 8 8 8 9 9 9 10 11 12 11 9 8 7 7 7 8 10 12 14 15 nan
nan 12 14 15 16 15 14 13 12 11 10 11 11 11 11 12 14 15 15 13 11 10 10 12 14 13 11 11 10 9 8 8 8 9 11 12 12 12 11 9 8 10 13 15 16 16 14 12 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 7 6 6 6 7 8 9 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 12 12 11 10 8 7 6 7 8 9 10 11 11 12 14 17 20 21 20 17 15 13 13 13 12 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 9 8 7 7 8 9 9 9 9 9 10 11 11 10 8 7 7 6 6 7 9 11 13 14 nan
nan 15 14 12 10 9 9 12 13 13 12 11 11 11 12 13 14 14 14 13 12 13 14 16 17 17 16 15 15 14 12 12 12 14 15 17 17 17 16 13 10 11 13 15 16 16 15 13 11 10 11 11 11 12 11 11 10 10 10 10 10 9 9 9 9 8 6 6 6 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 10 9 7 6 6 7 8 9 10 11 11 12 13 16 18 20 20 19 17 15 14 13 12 11 10 9 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 9 10 10 10 11 11 10 8 7 7 7 8 9 9 9 9 10 10 10 10 8 8 7 7 7 7 7 8 10 12 14 nan
nan 12 10 7 4 2 4 9 12 13 12 11 11 11 11 11 11 12 12 12 13 14 14 15 16 17 17 18 18 17 16 15 15 15 16 17 17 16 15 13 12 13 15 17 17 17 15 14 12 11 11 11 11 11 11 10 10 10 9 9 8 9 9 9 9 7 5 4 4 6 8 11 13 14 14 13 12 11 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 10 9 8 6 6 6 7 8 9 10 11 11 12 13 15 16 17 18 18 17 16 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 9 10 11 11 11 10 8 7 7 8 8 8 8 8 9 9 9 9 8 8 9 9 9 8 8 9 9 9 11 13 nan
nan 7 5 3 2 2 4 7 10 11 11 11 10 9 8 7 6 8 10 12 13 13 12 12 13 14 15 16 17 17 15 14 14 14 14 14 13 11 10 10 12 15 17 18 19 18 16 14 12 11 10 10 11 11 11 11 10 10 9 8 8 8 8 9 9 7 6 5 5 7 11 14 17 18 17 15 13 12 11 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 11 12 12 11 9 8 7 5 6 7 8 8 9 10 11 11 12 13 14 15 15 15 16 16 15 14 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 8 9 11 11 11 11 9 7 7 8 9 9 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 11 13 nan
nan 6 4 3 3 4 6 7 8 10 11 11 10 8 5 4 4 6 9 12 14 15 12 11 11 12 13 14 14 13 12 12 12 12 12 10 8 6 6 8 12 15 18 19 20 20 18 15 13 11 10 10 11 11 11 11 11 10 9 9 8 8 8 8 7 6 5 5 7 11 14 17 18 18 17 16 14 12 11 10 11 11 11 11 10 10 9 9 9 9 8 8 9 9 9 8 8 8 7 7 6 6 6 7 8 9 11 12 12 12 11 9 7 6 5 6 7 8 9 9 10 10 11 12 13 13 13 13 14 14 15 14 13 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 8 9 10 11 11 11 9 7 7 8 8 9 8 8 8 8 8 8 9 11 13 13 12 11 11 11 11 11 11 12 13 nan
nan 8 7 5 5 6 7 8 9 10 10 10 8 6 5 5 6 8 11 14 16 17 14 12 12 12 12 12 11 10 10 10 11 11 9 7 5 4 5 8 12 14 15 16 19 21 20 16 14 12 10 10 10 11 11 11 11 11 10 10 9 9 7 6 5 3 3 4 8 13 16 18 19 18 17 15 13 12 11 11 11 12 12 12 11 10 10 9 9 8 8 8 9 9 9 8 8 7 7 7 6 6 6 7 8 10 12 13 13 12 10 8 7 6 6 7 7 8 8 9 9 10 11 12 12 12 13 13 13 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 9 10 10 10 8 7 6 7 7 8 8 8 8 8 9 9 10 12 12 11 11 11 11 11 11 12 12 12 13 nan
nan 10 9 7 7 7 8 9 11 12 11 10 8 6 6 7 9 11 13 15 17 17 16 13 12 12 11 10 9 9 9 10 11 10 8 6 5 5 8 10 12 12 11 13 16 20 19 16 14 12 10 10 10 11 11 11 11 11 11 10 9 8 6 4 2 -0 0 3 8 12 16 18 19 19 17 15 14 13 13 13 13 13 13 13 12 12 11 9 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 9 11 12 12 12 10 9 8 7 6 7 7 8 8 8 9 9 10 11 11 12 12 12 13 13 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 8 7 7 7 7 8 8 9 10 9 8 7 6 6 7 8 8 9 9 10 11 11 11 11 11 10 11 11 12 13 12 12 12 12 12 nan
nan 11 9 8 8 7 7 8 10 11 11 10 8 6 7 8 10 11 14 16 16 16 16 14 13 12 11 10 8 7 8 10 11 10 7 5 5 8 10 12 12 11 10 11 15 17 16 15 13 12 10 10 10 11 11 12 12 12 11 10 8 6 5 2 0 -2 0 4 8 11 14 16 17 17 16 15 14 13 13 13 13 12 13 13 13 12 12 10 10 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 10 11 11 10 10 8 7 7 7 7 8 8 8 8 9 9 10 10 11 11 11 12 12 13 14 14 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 7 7 6 7 7 9 10 10 9 8 7 6 7 8 8 9 9 11 12 13 12 11 10 10 10 10 11 12 13 12 12 11 11 12 nan
nan 10 10 9 8 7 6 7 8 9 10 10 10 9 8 8 8 10 12 14 15 15 15 15 14 14 12 10 8 7 8 9 10 9 5 2 4 8 11 12 12 11 10 12 13 14 14 13 12 12 10 10 10 11 12 13 13 12 11 9 7 6 4 3 3 3 5 8 10 12 13 13 14 15 15 14 13 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 7 7 8 8 8 8 8 8 9 10 10 11 11 11 11 12 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 6 7 9 11 11 10 8 7 7 7 8 9 9 10 12 13 14 12 11 10 10 10 10 10 11 12 12 11 11 11 13 nan
nan 10 9 9 8 7 7 6 7 8 10 11 12 11 10 10 9 10 12 13 13 13 13 14 15 15 13 11 9 9 9 8 7 4 0 -0 3 8 11 10 9 7 8 10 11 12 12 12 12 11 11 10 10 11 12 13 13 12 10 8 6 5 5 6 8 11 12 12 13 13 13 13 13 13 13 12 11 11 10 9 9 9 9 9 10 10 11 10 10 10 10 10 10 9 9 9 8 8 7 8 8 9 10 10 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 5 5 6 8 9 10 10 9 8 7 7 8 9 9 10 11 12 14 13 11 10 10 10 10 10 11 12 11 11 11 10 11 12 nan
nan 10 9 9 8 8 8 7 7 8 10 12 13 13 12 11 12 12 13 12 11 10 11 13 15 15 14 13 12 11 9 6 3 -1 -2 2 7 11 12 9 6 4 5 7 10 11 11 11 11 11 11 10 11 11 12 12 13 12 10 9 7 6 5 7 10 14 15 15 14 13 13 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 8 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 8 7 6 5 6 6 7 9 10 10 9 8 8 7 7 8 8 9 9 10 12 13 12 11 10 10 10 11 11 12 12 11 10 10 9 10 11 nan
nan 10 9 8 8 9 9 9 9 9 10 12 13 12 11 10 11 11 12 12 10 10 11 13 14 14 13 12 11 10 7 3 -1 -3 -0 5 10 12 13 10 6 4 5 8 10 12 13 13 12 11 11 11 11 11 12 12 13 12 11 9 8 7 7 8 10 13 14 14 13 12 11 11 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 10 9 8 7 7 8 9 10 12 12 11 11 10 9 9 9 9 9 9 9 10 10 9 9 8 7 6 6 6 7 8 10 10 9 9 8 7 7 7 8 8 8 9 10 12 12 11 11 11 11 11 12 12 12 11 10 10 9 9 9 10 nan
nan 10 8 7 9 11 12 13 12 11 11 11 11 9 8 6 6 7 9 12 14 14 14 13 12 11 10 9 8 7 4 0 -3 -3 2 7 10 11 11 10 9 8 8 10 12 14 14 14 12 11 10 10 10 11 12 12 12 12 11 10 9 9 9 10 12 12 12 12 11 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 10 10 9 7 6 5 6 7 9 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 8 8 9 9 9 8 8 7 7 7 7 7 8 9 10 11 11 10 11 11 12 11 12 12 11 11 11 11 11 10 10 10 nan
nan 10 6 7 10 13 14 14 13 12 10 8 7 7 6 5 4 3 7 12 17 19 17 13 11 8 7 5 5 4 2 -1 -3 -1 3 8 9 9 9 9 10 11 11 12 13 14 14 14 12 11 10 10 10 11 12 12 12 12 11 11 10 10 10 12 12 12 11 10 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 11 11 10 9 8 6 5 5 6 8 10 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 10 10 10 10 9 10 10 11 11 11 11 11 11 12 12 12 11 10 10 nan
nan 6 5 7 12 14 15 14 13 11 8 6 5 6 8 9 9 7 7 12 15 18 16 13 10 6 4 3 3 3 3 1 -1 1 4 8 10 9 8 8 10 13 14 14 14 14 13 13 12 11 10 10 10 11 11 12 12 12 12 11 11 10 11 11 11 11 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 8 9 10 10 11 10 10 9 8 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 9 10 10 10 9 9 10 10 11 11 10 10 10 10 11 12 12 11 10 10 nan
nan 3 4 8 13 16 16 16 13 10 7 5 5 8 13 16 16 13 11 12 14 15 15 12 9 6 3 3 3 5 6 5 4 5 6 8 9 8 7 7 10 13 14 15 14 13 12 12 12 11 11 10 10 10 11 12 12 12 12 12 12 11 11 11 11 10 10 8 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 10 10 11 11 11 10 10 9 10 11 12 12 11 10 10 nan
nan 4 7 10 13 15 17 17 14 9 6 5 6 9 14 17 18 17 15 15 15 15 14 12 9 7 5 4 5 6 8 9 9 9 9 10 9 8 7 7 9 11 13 14 14 12 12 11 11 11 11 10 10 10 11 12 12 12 12 13 12 12 11 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 10 10 9 8 8 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 10 10 11 11 12 11 11 10 10 10 11 11 12 11 10 10 nan
nan 9 10 11 12 13 15 15 12 8 6 6 6 8 10 14 17 18 17 16 16 15 13 11 8 7 6 6 6 7 9 11 12 13 12 12 10 9 7 7 7 8 11 13 13 13 12 11 11 11 11 10 10 11 11 12 12 12 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 10 10 11 11 12 12 11 10 10 10 10 10 9 9 9 8 8 8 7 7 8 8 8 9 9 8 8 9 9 8 8 7 7 7 7 7 8 8 9 9 9 8 7 6 6 6 8 9 10 11 12 12 12 11 10 10 10 10 10 11 11 11 11 nan
nan 15 14 13 12 11 11 11 9 8 7 7 8 8 8 11 16 18 17 16 14 13 12 10 8 7 6 6 6 6 9 11 13 14 14 13 11 9 8 7 6 7 9 11 13 14 13 12 11 10 10 11 11 11 11 11 12 12 12 13 13 12 12 11 10 10 9 9 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 11 11 12 12 12 11 10 10 9 9 9 8 8 8 9 10 10 11 12 12 12 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 8 7 6 7 8 9 11 12 13 13 12 11 10 10 10 10 10 10 10 11 11 nan
nan 17 15 13 10 9 8 8 9 9 9 10 10 9 9 11 14 15 15 13 12 11 10 9 7 6 6 5 5 6 8 10 12 14 14 13 12 10 9 8 7 7 8 11 14 15 14 13 11 11 11 11 12 12 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 11 10 10 9 9 8 8 8 9 10 11 12 12 12 12 11 11 10 10 9 9 9 8 8 9 10 11 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 10 10 11 12 13 13 12 11 10 10 10 10 10 10 10 10 11 nan
nan 15 12 10 8 7 7 8 9 10 11 11 12 12 13 14 14 13 12 11 10 10 9 8 8 7 6 6 6 6 7 9 11 12 13 13 12 10 9 8 7 7 8 11 14 14 14 13 12 11 11 12 12 12 12 11 11 11 11 11 12 11 11 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 10 9 9 8 8 8 9 10 11 11 12 12 12 12 11 11 10 10 9 9 8 8 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 11 11 11 10 10 10 10 10 10 10 nan
nan 12 10 7 6 6 6 7 9 10 11 11 12 15 17 17 16 13 11 10 10 9 9 9 9 8 7 7 7 7 7 8 9 11 12 13 12 11 9 8 7 7 8 11 13 14 13 13 12 11 12 12 13 13 12 12 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 9 9 8 8 9 9 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 14 15 14 14 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 nan
nan 11 9 7 6 6 6 7 8 8 8 8 9 13 17 18 18 16 13 11 10 10 11 11 10 10 9 8 8 8 8 8 9 9 11 12 12 11 10 9 8 8 9 10 12 13 13 12 12 11 12 12 12 13 13 13 12 12 11 10 10 10 11 11 11 11 11 11 11 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 10 10 9 9 9 10 10 11 11 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 10 9 8 8 9 10 10 10 10 10 10 10 11 12 12 12 12 11 11 12 12 14 14 14 12 12 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 11 9 8 6 6 7 7 7 6 5 4 4 7 13 16 18 17 15 13 12 12 13 13 12 12 11 10 9 9 9 9 8 9 9 10 11 11 10 10 9 9 9 10 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 10 9 9 9 9 10 11 11 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 10 9 9 9 9 10 10 10 10 10 10 11 12 13 12 11 10 9 10 10 11 11 11 10 10 11 11 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 nan
nan 12 9 7 6 7 8 8 7 6 5 2 2 4 8 13 16 18 17 15 15 14 14 14 14 13 13 12 11 10 10 9 9 9 9 10 10 10 10 10 10 9 10 10 11 12 12 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 11 11 11 12 12 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 11 11 10 10 11 11 12 12 11 11 10 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 12 11 11 10 9 9 9 10 10 10 9 9 10 12 12 12 10 9 9 8 8 8 8 8 8 8 9 10 10 11 12 13 12 11 10 10 10 9 10 10 11 11 11 nan
nan 11 8 6 7 8 9 9 9 9 8 8 8 9 11 14 16 17 17 16 14 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 11 12 13 13 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 10 10 11 11 10 10 11 11 11 12 11 11 10 9 9 9 9 10 10 11 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 13 13 12 11 10 9 9 9 9 9 10 10 11 12 12 11 10 9 9 8 7 7 7 7 7 7 7 8 9 10 12 12 12 11 10 9 8 8 8 9 10 11 11 nan
nan 9 7 7 8 8 8 8 9 11 13 15 17 18 19 19 19 17 15 13 12 12 12 12 11 11 12 12 12 12 13 13 13 12 12 12 11 11 11 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 10 10 10 10 11 11 12 11 10 10 9 9 9 10 10 11 11 11 11 11 12 12 12 11 11 11 10 9 9 8 9 9 10 10 10 11 12 13 13 13 12 10 9 9 9 9 10 10 11 12 12 12 11 10 10 9 8 7 7 6 6 7 7 7 9 10 11 11 11 11 10 10 9 8 8 8 10 11 12 12 nan
nan 7 8 9 9 7 6 6 8 10 13 17 19 21 23 22 20 16 12 10 11 12 13 13 13 12 12 11 12 12 13 14 14 14 13 13 12 12 11 11 11 10 10 9 9 8 9 9 9 9 10 10 11 11 11 11 12 12 12 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 10 9 9 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 11 10 10 9 10 10 10 11 11 10 10 10 11 11 12 12 11 11 11 10 9 8 8 8 9 9 10 10 11 12 13 13 13 11 9 8 8 8 8 9 10 11 12 12 11 10 10 9 9 9 8 7 7 8 8 9 10 10 11 12 12 11 11 10 9 8 8 8 10 12 13 14 13 nan
nan 7 8 8 7 6 5 5 6 9 11 13 13 16 18 19 17 13 9 8 8 10 12 14 16 16 14 13 13 12 13 13 14 14 14 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 10 9 8 9 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 10 9 8 8 8 9 9 10 10 11 12 13 13 13 11 9 8 8 8 8 8 9 10 11 11 11 9 9 9 10 10 9 8 8 9 10 11 11 11 11 11 12 12 12 11 9 9 9 10 12 13 13 13 11 nan
nan 8 7 6 5 5 5 5 6 8 10 11 11 12 12 13 12 10 8 7 6 6 8 11 15 18 18 17 15 14 14 14 14 14 13 13 12 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 12 12 11 10 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 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 10 10 11 11 11 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 9 10 11 12 13 14 14 12 10 9 8 8 9 8 8 8 9 9 10 10 9 9 10 10 10 10 9 9 9 10 11 11 10 9 9 10 11 11 10 8 9 11 13 14 14 12 10 9 nan
nan 9 6 4 4 5 6 6 7 9 11 12 13 13 13 13 11 10 8 7 5 4 5 9 14 19 20 20 19 16 15 15 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 10 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 9 10 10 10 9 9 9 10 11 11 11 11 11 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 10 12 14 15 15 14 13 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 9 10 10 9 8 7 8 8 9 9 9 11 13 15 16 14 11 9 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
18 42 72 100 109 81 61 43 30 23 15 7 6 4 2 2 2 1 1 4 6 8 9 9 10 9 10 33 126 307 458 380 110 42 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 6 8 6 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 1 10 37 78 111 112 89 74 73 76 77 79 95 146 212 257 267 241 195 147 123 107 86 67 47 26 10 4 4 4 5 4 3 5 9 13 17 20 19 13 9 10 13 11 10 12 24 63 140 247 351 426 451 424 374 338 342 391 501 627 727 775 765 713 656 625 599
7 29 64 89 80 41 23 12 5 1 0 0 0 0 0 0 0 0 0 1 1 3 6 8 7 7 8 25 90 208 266 189 51 20 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 3 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 42 76 97 95 85 87 98 110 118 119 119 147 211 283 326 318 265 204 172 149 123 100 80 59 39 27 22 22 22 20 19 22 29 38 48 56 58 53 49 53 62 49 38 31 35 64 130 237 348 445 470 441 395 354 344 382 458 542 615 670 695 672 629 571 521
3 14 34 45 30 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 8 41 136 240 205 86 30 19 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 2 1 1 3 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 2 7 21 45 74 92 89 87 98 114 127 137 141 138 145 197 281 350 362 314 253 207 179 155 132 108 88 74 63 54 50 49 52 56 60 64 72 84 94 101 107 117 125 134 116 91 67 56 72 130 246 364 421 415 386 362 350 350 375 439 526 598 641 664 672 650 602 549
0 1 8 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 43 161 256 173 61 27 25 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 2 3 2 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 1 7 19 39 60 74 74 79 95 109 121 132 142 149 154 188 251 311 338 319 268 218 185 164 145 126 109 98 88 84 77 76 78 82 87 93 103 114 121 126 134 147 160 173 166 144 111 86 87 121 227 321 329 314 315 336 358 373 392 396 458 538 597 643 681 697 680 621
0 0 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 30 124 223 143 55 20 14 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 3 3 3 1 1 3 3 1 0 0 0 1 2 2 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 0 0 0 1 4 14 33 53 66 69 74 92 105 113 121 131 141 149 172 205 243 265 253 216 181 157 145 137 129 120 114 112 112 106 104 105 107 113 125 136 142 142 140 139 145 167 189 197 186 156 124 113 133 187 228 233 241 272 322 370 381 395 412 439 474 520 586 656 692 711 678
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 1 13 60 164 125 59 17 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 3 5 5 3 1 0 3 6 3 0 0 2 6 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 0 0 0 0 0 0 0 0 0 1 2 3 11 33 59 77 80 77 92 105 107 104 103 109 112 129 145 170 179 157 139 131 123 124 127 126 122 123 133 138 139 140 142 145 149 162 164 167 165 159 155 165 191 216 234 244 232 201 171 171 180 186 189 200 226 276 359 383 398 418 438 455 477 514 563 588 621 635
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