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 3 3 3 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 9 13 15 12 7 4 4 4 5 6 6 7 6 6 6 6 5 6 6 6 4 -0 -3 -1 3 5 7 7 8 7 6 6 6 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 4 4 3 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 9 12 12 8 5 4 5 6 6 6 7 7 7 7 7 6 6 6 7 6 4 0 -1 -0 3 5 7 7 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 nan
nan 4 4 4 4 4 3 3 3 4 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 7 10 13 15 12 8 6 5 6 6 7 7 7 7 7 7 7 7 6 6 6 5 3 -1 -3 -1 3 6 7 8 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 nan
nan 4 4 4 4 3 3 3 3 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 9 13 16 16 13 10 8 7 6 6 7 7 7 7 7 6 6 6 6 6 6 5 2 -3 -5 -2 3 6 7 8 8 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 nan
nan 3 3 3 3 2 2 3 3 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 8 10 12 14 13 11 10 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 4 0 -4 -4 -1 3 5 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 nan
nan 3 3 2 2 2 2 3 4 4 4 4 4 4 3 2 3 3 3 4 4 3 3 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 8 9 10 10 9 9 9 9 8 7 7 6 5 6 6 6 6 6 6 6 6 6 6 2 -2 -3 -2 0 3 5 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 nan
nan 2 2 2 2 2 2 3 4 4 4 4 4 3 3 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 8 9 10 8 7 7 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 4 1 -2 -2 -1 1 3 5 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 8 9 10 9 7 6 6 8 8 8 7 6 6 7 6 6 5 5 6 6 6 6 6 4 1 0 0 1 2 4 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 9 9 7 5 6 7 8 8 6 6 7 7 6 5 4 4 4 4 5 6 7 6 5 4 3 3 4 5 6 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 6 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 9 9 9 8 7 6 5 6 7 7 5 6 7 7 6 5 5 5 4 4 5 7 8 8 7 5 4 3 3 4 6 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 nan
nan 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 10 9 9 8 7 7 7 8 7 6 7 7 7 7 7 6 7 7 8 8 7 6 5 4 3 3 2 3 4 6 7 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 nan
nan 5 5 5 4 4 4 5 6 6 6 7 7 7 7 6 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 8 9 9 10 9 9 9 8 8 9 9 9 7 7 7 8 8 8 7 7 8 9 9 8 7 4 2 1 1 2 2 3 5 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 5 5 5 5 4 4 5 6 6 7 7 7 7 7 6 5 5 5 5 4 4 3 3 3 3 4 4 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 9 9 10 8 7 7 8 9 9 8 7 7 8 8 7 7 6 5 3 2 2 2 3 4 5 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 nan
nan 7 7 7 6 5 4 4 5 5 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 4 4 5 6 6 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 10 11 10 8 7 8 9 9 9 8 6 6 7 6 6 6 6 5 4 3 3 3 4 5 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 9 9 9 8 7 5 3 3 4 5 5 6 6 6 5 5 4 3 3 3 3 3 3 4 5 6 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 12 13 13 12 11 9 9 9 9 9 8 6 4 4 5 6 6 5 4 3 2 3 3 4 4 5 6 7 7 7 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 nan
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nan 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 9 9 9 9 9 10 10 10 11 11 12 13 15 15 15 15 14 13 12 12 11 10 10 10 11 11 12 13 14 15 14 12 11 10 8 7 6 5 5 5 5 6 6 7 7 8 8 7 6 4 3 3 3 3 3 3 3 3 4 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 10 10 11 12 13 14 16 18 19 19 18 16 15 14 13 12 11 11 11 12 12 13 14 15 15 13 11 11 10 9 7 5 5 5 5 6 6 6 6 7 7 6 6 5 4 3 3 3 3 3 3 3 3 3 4 5 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 8 8 8 8 8 7 7 7 nan
nan 8 9 8 7 7 7 6 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 10 10 12 13 15 17 19 20 20 19 18 17 15 14 13 12 12 12 12 12 13 14 15 15 14 11 11 11 10 10 9 7 6 6 7 7 7 7 7 7 7 7 6 6 5 4 4 3 4 3 3 3 2 2 3 4 5 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 8 9 9 9 8 8 8 8 8 7 7 nan
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nan 5 5 6 6 6 6 6 7 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 7 7 8 8 8 9 10 12 15 19 21 21 18 15 11 9 8 7 8 9 10 11 13 14 15 16 17 16 13 10 9 8 8 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 6 6 6 6 5 5 4 4 4 3 2 2 1 1 2 3 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 nan
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nan 8 9 10 9 9 10 12 13 14 14 14 15 14 12 11 12 13 13 13 11 9 9 11 12 12 11 10 12 15 17 17 14 11 9 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 9 8 7 7 7 7 8 8 8 8 8 9 9 8 7 8 8 8 8 7 6 6 5 5 5 5 5 5 6 7 9 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 7 6 6 6 6 7 7 7 8 8 nan
nan 8 8 8 9 10 11 11 12 12 12 13 14 14 12 10 10 10 10 9 8 8 10 12 12 11 10 10 12 14 14 12 9 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 10 10 9 8 8 7 6 6 5 6 6 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 10 11 11 11 11 10 10 9 8 8 7 6 6 6 7 7 8 8 nan
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nan 8 8 8 8 8 9 8 7 7 7 7 9 10 9 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 8 7 7 7 8 8 7 6 7 7 6 7 7 8 8 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 8 7 6 5 5 5 7 8 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 9 8 7 7 6 7 7 9 10 11 12 12 12 12 12 10 9 8 8 7 7 7 7 7 nan
nan 8 8 7 7 8 8 8 7 6 7 8 9 9 8 6 6 5 6 6 6 7 7 7 7 7 7 7 8 8 8 7 6 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 7 8 9 9 9 7 6 5 4 4 4 6 7 9 10 10 10 11 10 10 11 10 11 11 12 12 12 12 13 13 13 12 12 12 11 11 10 10 9 8 7 7 6 6 7 8 9 10 11 12 12 13 13 13 11 10 9 9 8 8 7 7 nan
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nan 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 9 8 8 9 9 10 9 9 8 8 8 9 9 10 9 9 9 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 8 9 8 8 8 8 8 7 6 6 7 7 7 7 7 7 6 5 4 3 3 3 3 4 5 6 7 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 13 14 13 12 12 11 10 10 10 11 10 11 11 12 12 14 15 15 15 16 17 16 nan
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nan 12 12 10 9 8 8 8 8 8 8 9 9 10 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 6 6 5 4 4 5 5 6 7 7 8 10 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 11 12 13 12 10 9 11 11 11 10 nan
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nan 7 8 8 8 8 8 9 10 10 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 7 7 7 8 8 9 9 8 7 6 6 7 8 8 9 9 9 8 8 8 8 7 8 9 9 8 7 6 5 5 5 5 6 7 8 9 8 8 8 7 7 7 8 7 7 7 7 7 7 7 5 3 4 6 7 9 11 12 9 5 2 1 1 2 3 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 5 nan
nan 7 7 8 8 8 8 9 10 10 9 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 8 9 9 9 9 8 8 8 7 8 8 9 9 8 6 5 5 5 5 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 6 6 6 7 9 12 13 8 3 -0 -1 0 2 4 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 9 9 10 10 10 9 8 7 7 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 8 7 6 5 5 5 6 7 7 7 8 8 9 9 9 8 7 6 7 7 8 9 9 9 9 9 8 7 7 8 8 9 10 9 7 5 4 5 5 6 6 7 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 8 10 13 11 7 2 -2 -3 -1 2 4 5 5 6 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 9 10 10 9 8 8 7 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 8 6 5 5 5 6 6 7 8 8 9 10 10 9 8 7 7 7 8 9 9 10 9 9 8 7 7 7 8 9 10 10 9 6 3 3 4 5 6 7 8 9 8 7 7 8 9 8 8 7 7 7 7 7 7 8 9 8 8 8 8 8 8 9 10 9 6 1 -4 -4 -1 3 4 4 5 6 7 7 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 8 9 10 10 9 8 8 7 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 9 10 10 9 8 7 6 6 6 7 7 8 9 10 10 9 8 7 7 8 9 10 10 10 10 9 8 7 6 7 8 9 9 10 9 7 4 3 3 4 6 7 8 8 9 8 8 8 9 9 8 7 7 7 7 8 7 7 8 8 8 8 8 8 8 7 7 7 7 6 2 -2 -2 1 3 4 4 5 6 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 6 6 6 7 8 9 11 10 9 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 11 10 9 6 6 6 7 8 9 10 10 10 9 8 8 8 9 10 11 11 10 9 8 7 6 6 7 8 9 9 10 8 5 2 2 3 5 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 8 9 8 8 8 9 8 7 6 6 7 7 6 4 3 3 3 3 3 4 5 6 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 nan
nan 6 6 6 7 8 10 10 10 9 8 7 7 6 7 7 7 7 7 6 6 7 8 8 9 9 10 9 8 8 9 10 11 11 12 11 8 6 6 6 7 9 10 10 10 10 9 8 8 9 10 12 12 11 11 9 8 6 6 6 7 8 9 10 10 7 3 1 2 3 6 8 9 9 9 8 8 8 8 7 8 8 8 8 8 8 7 7 9 9 8 8 8 8 8 7 6 6 6 7 7 7 7 7 5 4 3 4 5 6 7 8 8 9 9 9 8 8 7 6 6 6 6 7 7 7 8 7 7 7 7 7 7 7 nan
nan 7 7 7 8 9 9 10 10 9 8 7 7 6 6 6 7 7 6 6 6 6 7 8 8 9 10 10 8 7 8 9 10 10 10 9 7 6 6 7 8 9 10 10 10 9 9 8 9 10 11 12 12 12 11 10 8 7 7 7 8 9 10 10 9 6 2 1 2 5 7 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 8 9 9 8 8 8 8 8 7 6 6 6 7 7 8 9 8 7 6 5 5 5 6 7 8 8 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 9 9 10 9 8 7 7 6 5 6 6 6 7 7 7 6 7 7 8 9 10 10 8 7 7 8 8 9 9 8 7 6 7 7 9 10 10 10 9 9 9 9 9 11 12 12 12 12 11 10 8 7 8 9 10 10 10 9 7 4 2 2 4 6 8 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 9 8 8 8 7 6 5 5 6 8 11 12 12 10 8 6 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 9 9 9 8 7 6 6 5 6 6 7 7 8 8 7 7 8 8 9 10 11 9 8 8 8 8 9 8 7 7 6 7 7 9 10 10 9 8 8 8 9 9 11 12 12 12 12 11 9 7 8 10 11 11 10 8 7 4 2 2 4 6 8 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 5 6 8 8 8 9 8 8 8 8 8 7 6 6 8 11 14 15 14 10 6 3 3 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 8 8 8 8 7 7 8 9 9 9 8 7 6 5 5 6 7 7 8 8 8 8 8 8 9 10 11 10 9 9 9 9 9 9 8 7 6 6 7 8 9 9 8 8 8 8 9 10 11 11 11 11 10 9 8 8 10 12 13 12 9 5 3 2 2 3 6 8 9 10 10 9 8 8 7 7 7 9 10 9 8 7 7 8 8 8 8 8 8 8 7 7 7 6 6 7 8 8 8 9 8 8 8 8 8 8 7 7 8 9 12 15 15 12 6 -1 -3 1 5 7 8 8 8 8 8 8 8 9 9 9 9 10 10 nan
nan 9 8 8 8 7 7 8 9 9 9 9 8 7 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 8 7 6 6 7 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 8 10 12 14 15 12 7 1 -1 -1 1 5 8 9 10 10 9 8 8 7 7 7 8 10 10 10 8 7 7 7 8 8 7 7 7 8 7 7 7 7 7 8 9 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 10 5 -4 -10 -7 0 5 8 9 9 9 8 9 9 9 9 10 10 10 10 10 nan
nan 9 9 8 8 8 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 9 10 11 11 11 9 7 6 7 8 8 7 7 7 8 9 10 10 11 11 10 9 8 8 8 9 10 13 14 14 10 3 -3 -3 -1 3 7 9 10 10 9 8 7 7 7 7 8 9 10 10 10 8 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 5 -2 -11 -13 -5 3 7 9 10 9 9 9 9 10 10 10 10 10 10 11 11 nan
nan 9 9 8 8 8 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 10 11 11 10 8 8 9 9 9 8 7 7 7 8 10 11 11 10 9 9 8 8 8 9 10 11 12 10 5 -2 -4 -3 1 6 9 11 11 9 8 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 7 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 1 -6 -11 -7 2 8 11 11 10 9 9 9 10 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 8 8 7 7 7 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 8 9 10 10 9 9 9 10 10 9 8 7 7 7 7 8 10 10 10 10 9 9 9 9 9 9 10 9 6 1 -3 -2 1 6 10 12 12 10 8 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 6 7 7 8 8 8 8 8 9 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 7 5 -1 -6 -5 3 11 15 14 12 10 9 9 9 10 10 10 10 10 11 11 11 11 nan
nan 9 9 9 8 8 8 7 7 8 8 9 9 8 8 7 6 6 7 7 7 7 8 7 7 8 8 8 8 8 8 7 7 8 9 9 9 9 10 10 10 9 8 7 7 7 7 8 10 10 11 10 10 9 9 8 8 8 6 3 0 -1 1 6 10 12 13 11 8 7 7 8 8 8 8 8 8 8 8 9 8 8 8 7 7 6 7 8 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 5 2 1 6 15 20 19 15 12 11 10 9 8 9 9 10 10 11 11 11 12 12 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 7 6 6 7 7 8 9 10 10 11 10 9 7 7 8 8 7 7 8 10 10 10 10 9 8 8 8 7 5 3 2 2 5 9 12 13 11 8 6 6 8 9 9 8 8 8 8 8 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 6 7 7 7 7 9 15 20 21 18 14 12 11 9 7 6 7 8 10 10 11 11 12 12 12 nan
nan 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 8 10 11 10 10 8 7 7 8 9 8 7 8 8 9 9 9 9 8 8 7 6 4 3 3 5 8 11 11 10 8 6 6 7 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 8 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 8 9 10 12 14 15 14 13 11 10 8 5 3 3 6 8 10 11 11 12 12 12 12 nan
nan 8 8 8 8 9 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 8 10 10 10 9 9 8 8 9 10 9 9 8 7 6 6 7 7 8 7 6 5 4 4 5 7 10 11 9 7 5 5 6 9 9 9 9 8 8 8 8 9 8 8 7 8 8 8 7 7 8 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 10 10 10 9 9 9 8 8 7 4 1 -1 2 7 9 10 11 11 11 11 11 11 nan
nan 8 8 8 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 8 9 9 10 10 11 10 9 7 5 4 5 7 7 7 7 6 5 5 5 6 8 10 9 8 6 5 6 8 10 10 9 8 8 8 8 9 9 8 7 8 8 8 7 7 7 8 8 8 9 9 8 8 8 8 7 7 8 9 8 8 8 8 8 7 7 7 7 8 8 7 8 9 9 9 8 7 5 4 3 1 -2 -6 -5 2 6 9 10 10 10 9 9 10 10 nan
nan 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 8 8 9 8 7 7 7 8 8 8 9 10 11 11 10 8 6 5 6 7 9 9 8 7 6 6 6 6 7 8 9 8 8 7 7 7 9 9 9 8 8 8 8 8 9 9 8 7 7 7 7 6 6 7 7 8 9 9 8 7 7 7 8 7 8 9 9 9 8 8 8 7 7 7 8 8 8 7 7 8 9 9 9 7 3 0 -2 -4 -5 -8 -11 -6 2 6 8 9 8 8 8 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 9 10 10 10 9 8 7 6 7 7 8 8 7 6 7 8 8 8 9 10 11 11 10 9 7 7 9 10 10 10 8 7 7 7 8 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 6 6 7 8 9 8 8 7 7 7 7 8 8 8 9 9 8 8 8 8 7 8 8 8 8 7 7 7 8 9 9 8 5 2 -1 -2 -3 -4 -6 -6 -0 4 7 7 7 7 7 7 7 8 9 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 8 9 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 6 6 7 8 8 8 9 9 10 10 10 8 8 8 9 10 11 10 8 8 8 9 9 8 7 7 7 7 8 8 8 7 7 6 6 7 8 7 8 9 9 9 8 7 6 6 7 7 8 8 9 9 9 8 7 7 7 7 8 8 9 9 8 8 7 7 7 8 8 9 9 8 7 7 8 9 9 9 8 7 6 5 5 5 4 1 2 4 5 6 7 6 7 7 7 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 8 9 10 10 9 7 6 6 7 8 8 8 6 6 7 7 8 9 9 9 9 9 8 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 7 8 9 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 7 7 6 5 5 6 7 7 8 9 9 8 7 7 7 7 8 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 7 3 2 2 4 6 6 6 7 7 8 8 8 8 nan
nan 8 8 7 8 8 8 8 8 8 9 9 10 10 9 8 7 7 8 8 8 7 7 6 6 7 8 9 10 11 11 10 9 8 7 7 6 6 6 7 7 8 8 8 8 8 7 7 7 7 8 9 10 10 10 11 11 11 10 10 10 10 9 7 7 7 7 7 6 5 5 6 7 7 8 8 8 7 7 7 7 8 9 9 9 9 9 8 7 8 8 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 7 2 -2 -2 1 4 6 6 7 7 8 8 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
75 80 81 77 66 58 60 69 70 65 63 62 56 46 34 25 21 19 17 18 14 7 6 11 15 18 20 18 16 13 9 9 8 8 8 7 5 6 7 7 7 9 9 7 9 9 10 10 10 12 14 17 23 28 34 40 42 43 43 42 41 40 35 27 21 17 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 7 6 7 8 9 10 10 11 16 19 25 29 31 31 29 24 18 15 12 11 9 6 5 6 17 30 55 91 124 142 143 146 164 265 472 648 796 845 734 567 454 383 325 259
70 73 75 64 52 34 52 75 77 70 64 62 60 52 36 26 19 21 19 18 17 13 12 15 18 20 22 21 20 18 14 12 12 12 11 9 8 10 12 11 12 16 14 13 14 14 14 14 12 12 13 15 18 20 24 28 33 37 41 45 55 63 45 31 24 15 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 8 8 7 7 9 10 11 13 17 20 24 27 29 30 31 28 24 19 15 13 13 8 6 7 17 26 35 54 84 125 138 133 134 155 214 300 405 499 530 509 477 436 373 303
69 70 79 72 69 60 78 85 77 63 52 52 58 58 46 32 22 24 21 18 16 17 17 19 24 31 34 36 34 34 27 21 19 17 16 14 13 12 14 16 16 19 18 17 17 17 16 16 16 15 13 12 14 16 18 20 23 26 29 34 42 49 42 33 23 16 13 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 9 10 9 7 7 11 11 12 15 18 21 24 26 26 26 26 23 20 17 16 15 13 11 12 16 21 29 37 59 89 122 136 126 116 127 164 219 281 348 407 446 437 385 324
116 130 144 127 109 94 85 74 58 44 36 34 43 57 57 38 27 25 22 19 18 17 17 18 22 32 41 47 46 50 45 37 32 28 23 21 19 15 17 21 22 24 24 23 24 22 18 16 17 17 15 14 13 14 14 14 15 15 17 20 26 33 34 29 24 19 15 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 10 12 9 7 8 9 10 11 13 15 18 19 19 20 20 19 20 18 17 16 16 15 15 15 16 28 30 32 51 86 109 116 112 110 120 135 162 222 305 373 397 380 338
228 243 231 181 136 99 68 47 32 24 20 22 36 57 64 52 37 27 22 20 18 17 15 15 17 23 30 40 45 50 51 50 52 46 30 27 28 27 32 33 37 40 38 35 36 35 29 27 26 21 16 14 15 14 13 14 13 12 11 14 18 21 27 25 21 17 13 9 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 9 10 10 7 6 7 8 9 10 11 12 12 14 14 15 17 16 15 15 15 17 21 29 28 37 41 46 52 72 94 110 116 116 121 127 135 184 243 298 341 359 349
353 353 289 201 137 90 52 28 14 8 9 17 33 45 46 39 30 24 20 18 17 17 15 15 18 25 30 35 39 40 39 42 51 54 42 40 48 52 58 66 71 72 64 55 53 52 48 43 40 32 24 18 16 15 15 16 14 13 13 12 13 15 20 19 15 11 8 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 6 7 10 13 12 10 9 9 10 10 11 11 12 13 13 14 15 15 16 17 17 17 19 33 42 45 49 59 74 81 87 98 112 127 136 153 152 160 190 234 277 308 318
342 292 223 158 102 60 29 12 5 2 4 9 16 18 17 18 17 16 15 15 15 16 16 15 18 28 36 36 34 32 30 35 44 52 51 59 78 83 93 99 102 106 103 90 79 75 74 71 66 56 45 27 18 14 13 14 14 14 15 12 10 11 14 12 9 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 4 6 7 8 12 14 14 15 14 14 14 14 14 14 15 15 15 15 16 17 18 19 19 19 26 31 36 47 62 75 80 85 94 107 133 161 177 162 149 154 174 204 227 235
197 159 119 87 55 29 12 4 1 1 3 8 5 6 8 10 10 10 10 11 13 16 17 17 22 36 45 45 41 37 36 40 52 72 85 91 91 93 108 121 125 130 136 135 126 116 118 113 99 84 69 46 26 15 11 10 11 13 19 16 11 8 7 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 3 3 3 4 6 7 7 10 13 15 18 19 18 20 18 17 16 16 16 16 15 15 16 18 20 21 20 19 18 21 33 51 64 62 73 85 97 122 146 163 163 153 143 144 157 162 158
65 54 42 34 22 9 2 0 1 3 6 12 10 13 19 24 22 20 20 22 24 28 29 25 32 43 51 65 69 64 59 62 75 90 113 102 81 89 96 112 130 143 155 173 176 162 175 154 124 103 91 72 45 23 15 11 15 22 29 28 21 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 4 4 6 7 9 10 12 15 18 20 20 21 21 19 17 16 16 16 15 14 14 16 19 19 19 18 17 17 20 24 19 15 35 51 70 96 116 128 145 162 163 160 156 149 140
20 17 14 13 11 6 4 6 9 13 18 23 27 30 38 46 51 54 58 57 50 49 47 48 53 57 68 91 108 108 103 110 113 109 146 136 110 100 96 104 122 141 157 175 189 181 206 188 154 132 116 96 75 52 39 27 29 35 41 44 40 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 4 4 5 5 6 8 10 11 11 14 16 18 20 21 21 20 19 19 17 17 15 14 13 15 16 17 16 17 17 18 18 17 11 11 14 23 49 67 77 111 153 165 169 165 169 161 159
17 16 14 13 14 16 19 24 30 36 47 54 57 56 65 81 95 102 107 107 89 78 75 97 105 95 103 122 142 147 137 149 141 130 142 144 138 126 116 107 108 126 142 141 152 157 181 181 167 163 151 128 110 92 82 61 57 57 57 59 60 38 9 3 2 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 4 7 10 7 7 7 7 8 11 14 13 12 14 14 17 21 22 22 20 19 20 20 18 17 16 13 13 13 13 15 16 17 19 18 17 15 14 15 20 30 30 28 44 64 94 117 135 149 154 148
27 24 21 21 26 32 38 46 53 63 81 97 100 95 109 124 137 152 157 143 127 124 136 164 179 156 150 150 153 157 139 143 141 129 122 119 132 140 145 148 146 142 133 112 106 114 140 164 185 183 167 162 136 117 109 96 95 89 76 70 71 58 25 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 18 19 20 22 19 13 12 13 14 15 15 15 18 21 23 22 21 20 21 21 19 19 17 16 15 14 13 13 14 15 19 19 18 18 18 19 19 19 18 19 19 20 23 45 78 108 132 140
39 37 39 43 47 51 54 58 63 74 105 147 117 131 170 208 218 204 204 206 209 213 225 215 216 197 178 160 148 153 149 152 138 131 116 103 108 122 136 152 165 159 135 125 112 110 127 147 160 168 176 166 147 137 136 125 123 113 97 85 84 84 57 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 28 37 39 42 44 40 32 30 25 23 26 24 27 27 25 24 23 23 24 28 26 23 21 19 18 16 15 13 13 13 14 16 19 19 19 19 19 20 20 20 19 18 18 20 25 40 58 75 103
56 58 65 73 77 74 68 66 61 66 91 139 136 165 208 251 285 299 295 300 314 336 321 259 224 199 172 154 152 156 162 180 176 157 132 127 122 117 119 119 126 135 138 150 146 142 139 131 118 112 123 139 141 141 165 157 148 132 109 91 86 80 17 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 25 42 55 59 63 69 66 56 53 54 52 48 44 47 47 46 44 44 45 44 54 46 40 33 25 21 20 17 14 13 14 14 16 18 19 19 20 19 19 18 17 18 20 23 26 30 33 36 44 78
72 90 109 119 115 105 95 89 53 47 51 72 89 131 192 252 295 315 326 351 353 374 335 271 221 185 159 148 148 144 141 153 162 164 160 161 157 144 132 124 129 137 144 154 158 157 147 129 109 92 83 111 132 135 157 162 156 139 112 87 75 94 10 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 24 43 61 78 81 83 93 95 83 74 80 76 73 73 75 74 74 79 81 76 93 89 78 69 61 52 43 28 25 21 18 16 14 15 17 18 19 20 20 19 17 16 17 19 23 27 30 33 37 42 65
102 163 229 221 162 133 139 161 66 26 19 28 50 96 167 245 304 323 308 310 307 296 266 226 187 156 137 128 121 120 122 152 173 186 195 202 203 195 172 157 158 159 164 165 166 165 161 151 138 124 86 83 106 122 131 136 136 124 98 72 57 50 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 37 57 74 88 98 102 104 107 101 95 100 107 111 119 123 114 114 124 124 134 142 131 114 102 93 87 79 72 57 43 35 27 20 17 16 17 18 17 19 19 18 17 15 15 19 25 28 32 37 44 56
162 259 312 238 141 133 162 178 76 29 16 21 36 64 111 180 258 287 245 218 197 170 144 123 110 100 92 90 98 120 141 174 190 204 224 236 235 230 206 194 190 192 194 191 184 175 173 188 184 164 133 111 106 107 110 108 101 90 67 43 34 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 29 46 65 84 101 116 118 122 117 121 119 126 138 148 160 171 156 177 177 167 165 176 176 167 158 148 142 131 109 95 80 75 63 45 33 26 14 17 15 17 19 18 17 15 14 17 23 28 31 35 41 53
195 239 194 92 62 101 157 177 136 91 60 46 47 61 81 105 137 142 143 136 113 88 65 56 61 72 80 90 114 140 167 193 214 232 253 265 260 259 251 241 237 238 236 228 223 214 201 212 218 199 175 154 137 120 104 88 73 52 26 9 5 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 12 23 37 55 74 93 112 130 137 154 144 139 140 144 151 160 176 198 197 215 217 224 240 242 233 222 220 219 208 209 203 165 130 113 103 81 58 50 45 28 20 18 17 18 18 17 16 17 21 26 28 31 37 53
125 121 101 61 46 66 126 182 191 169 130 108 109 115 114 105 104 105 102 101 94 86 82 82 86 99 117 131 146 158 178 200 222 241 255 262 273 277 290 296 300 306 297 283 278 270 246 229 225 216 203 178 152 126 95 70 55 25 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 32 45 60 77 95 109 129 149 167 160 153 157 170 180 190 213 234 250 263 268 266 266 283 294 280 266 284 269 278 310 282 213 160 140 131 98 77 77 61 42 27 18 18 22 22 17 16 18 23 26 29 33 39
23 39 46 45 43 51 91 153 228 214 178 155 143 133 121 106 96 99 102 106 108 107 110 120 133 144 154 165 173 181 194 213 227 241 267 289 317 336 346 352 356 354 333 308 291 273 253 230 208 195 176 151 123 96 69 48 32 8 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 29 44 57 69 80 95 105 121 143 159 161 163 176 193 205 221 249 265 277 285 298 323 342 342 336 330 301 329 329 331 356 362 312 223 179 193 162 122 97 86 75 53 34 29 29 30 30 22 18 20 23 26 31 35
5 8 14 23 36 38 64 103 207 215 191 173 148 116 108 107 102 111 117 133 146 152 158 166 175 179 177 189 198 208 221 239 261 285 314 347 377 396 396 375 354 330 298 263 235 215 198 177 158 143 124 99 76 56 38 26 12 3 0 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 19 37 56 67 78 87 96 107 123 140 168 182 175 179 190 199 212 237 260 284 300 314 345 398 428 428 428 407 397 378 364 367 394 414 325 247 251 243 196 152 130 112 89 66 54 43 35 36 30 25 24 25 27 36 44
0 0 1 6 16 21 46 91 156 155 146 162 161 124 125 148 148 169 191 215 230 237 237 231 227 211 201 204 208 219 234 255 281 314 354 401 425 428 411 337 261 212 185 167 147 135 133 117 99 83 65 49 38 27 14 8 2 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 2 5 9 15 29 50 67 78 86 95 103 112 126 140 173 201 194 195 199 200 218 256 269 285 310 330 356 407 484 545 564 576 569 526 469 454 473 510 448 378 342 332 302 254 215 171 127 96 88 82 69 55 48 44 38 34 34 42 48
0 0 0 0 2 11 32 72 93 87 99 154 192 154 164 192 226 261 288 294 295 309 334 346 325 273 240 220 216 218 224 234 252 282 332 417 438 437 358 243 152 104 78 67 66 61 57 49 41 34 29 23 18 13 5 2 1 1 1 1 2 2 1 0 2 1 1 1 1 1 1 0 0 0 0 2 4 8 15 25 43 63 76 88 98 106 112 118 125 135 157 192 209 213 230 241 260 292 307 312 322 337 368 420 474 535 612 674 719 737 713 677 636 606 579 546 483 438 415 364 304 245 183 139 130 125 111 98 89 81 69 57 52 51 57
0 0 0 0 0 3 14 32 53 52 59 114 193 220 216 215 214 208 211 220 225 238 277 317 357 344 308 251 210 185 165 151 161 214 273 358 369 319 227 142 90 63 36 18 19 18 14 12 11 11 10 10 9 6 3 1 1 2 2 2 3 3 1 0 1 1 1 1 1 1 0 0 0 0 0 2 6 11 20 32 52 71 86 101 114 122 127 129 132 138 149 175 211 230 252 274 295 322 347 357 360 357 360 414 472 540 616 692 760 815 863 883 862 833 784 743 686 614 558 483 407 375 302 231 188 162 148 139 131 122 109 95 83 78 78
0 0 0 0 0 0 2 7 14 12 14 44 103 137 136 112 84 55 33 50 74 69 67 76 193 293 313 254 181 116 70 55 55 95 175 241 222 135 83 68 52 37 23 11 7 4 3 3 3 3 4 5 7 3 2 1 1 1 2 2 2 3 3 2 0 1 1 1 0 0 0 0 0 0 1 3 7 14 22 34 53 76 95 121 138 150 152 147 142 146 158 169 196 218 242 269 295 323 352 376 399 409 408 424 465 534 612 691 786 876 936 967 999 1029 994 937 900 858 814 684 595 583 495 389 303 235 186 172 171 168 151 133 112 100 101
0 0 0 0 0 0 0 0 0 0 1 7 22 22 5 2 4 6 11 12 6 2 1 5 67 184 197 141 77 33 17 13 14 52 100 101 79 51 37 32 23 16 12 7 5 3 1 1 1 1 1 1 1 1 1 1 2 2 2 4 4 4 5 3 1 0 1 0 0 0 0 0 0 0 1 4 9 16 25 35 50 84 103 133 158 172 171 159 152 153 164 173 191 210 233 258 283 310 344 377 413 443 458 464 488 538 604 685 792 874 909 946 950 972 989 990 1009 1039 1070 902 780 728 648 551 468 359 261 235 232 222 202 177 150 128 123
0 0 0 0 1 2 3 2 1 0 0 0 1 1 2 4 6 5 5 5 2 1 7 43 109 115 74 35 12 3 2 2 2 15 31 11 6 10 12 11 9 7 6 5 4 2 1 1 0 0 0 0 0 1 1 2 2 2 3 5 6 5 8 3 1 0 0 0 0 0 0 0 0 0 3 7 12 19 29 37 47 83 116 144 165 174 167 156 161 169 185 200 213 223 233 249 273 296 334 370 408 450 497 530 550 575 614 687 770 852 931 937 873 805 786 835 912 966 981 970 940 849 720 624 593 485 374 313 294 279 253 227 200 172 158
2 4 6 7 9 10 9 7 6 3 0 0 1 1 2 3 3 3 2 1 1 1 9 58 81 42 13 3 1 0 0 0 0 0 0 0 0 1 2 2 3 2 3 2 2 1 0 0 0 0 0 0 0 0 1 2 2 2 3 6 8 6 7 3 1 0 0 0 1 0 0 0 0 2 6 11 17 26 36 42 51 79 112 138 156 162 154 152 160 175 198 221 244 255 254 259 281 298 325 361 404 452 509 569 618 650 674 721 769 851 935 970 943 856 766 735 775 816 869 941 981 932 787 667 647 574 481 386 334 308 286 276 261 242 207
17 22 25 27 29 27 20 14 7 2 2 2 1 1 1 1 1 1 1 1 0 0 1 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 6 7 5 2 1 0 1 1 0 0 0 0 1 4 10 15 21 31 41 48 58 82 108 123 126 133 130 132 137 151 174 200 231 260 273 283 300 313 327 364 415 468 518 572 642 712 750 788 816 876 974 1079 1124 1089 991 901 844 803 784 813 898 943 853 756 694 628 529 438 379 336 313 309 296 303 273
47 47 45 43 44 42 35 23 11 3 3 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 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 2 6 12 18 26 36 46 53 62 73 77 69 73 87 91 95 97 106 124 149 176 201 224 256 290 312 332 376 437 489 529 570 636 709 765 815 871 938 1002 1066 1176 1180 1143 1118 1053 958 867 813 836 857 824 818 768 713 631 525 441 372 341 332 316 327 320
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