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 nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 8 8 7 8 7 8 8 8 8 8 7 7 7 8 9 9 9 10 9 9 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 13 16 17 14 9 9 11 11 11 11 11 10 8 7 6 6 6 6 7 9 10 10 9 9 8 9 10 11 12 12 10 9 9 9 9 8 7 8 9 11 12 12 10 7 4 3 4 5 6 7 8 9 11 11 9 7 6 7 8 9 11 11 11 10 9 8 7 7 6 5 7 8 9 9 10 10 10 9 9 9 9 10 11 11 11 10 8 8 10 13 13 12 10 10 nan
nan 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 10 9 9 9 9 9 9 8 8 8 8 7 7 8 8 7 7 8 8 8 9 9 9 9 8 8 8 7 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 12 15 16 15 11 9 11 12 11 9 8 7 6 6 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 6 5 6 7 9 10 10 8 5 4 4 5 6 8 9 10 12 13 13 10 7 6 6 7 8 10 12 13 13 12 10 7 6 6 7 9 10 10 10 9 9 9 9 10 10 11 11 12 13 13 11 9 8 10 11 10 7 6 7 nan
nan 7 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 13 16 15 13 10 11 12 10 7 4 3 2 3 5 6 6 6 7 8 8 8 8 9 9 8 8 8 7 7 5 5 5 5 6 7 6 5 5 5 6 7 8 8 6 5 4 5 7 8 10 11 12 13 14 13 8 5 4 5 6 8 10 12 14 14 11 8 5 4 6 9 11 12 11 9 8 6 6 7 9 10 12 14 14 15 14 12 10 10 11 11 8 5 4 6 nan
nan 8 8 8 9 9 9 10 10 11 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 12 13 13 11 11 13 12 7 1 -2 -3 -1 2 5 6 7 7 8 8 8 8 8 8 8 8 8 7 6 5 4 4 4 5 6 6 5 5 4 4 5 5 6 5 5 5 5 6 8 10 11 11 10 10 11 10 6 3 3 5 7 7 9 10 12 11 7 3 3 5 8 11 12 11 10 8 6 5 5 6 8 10 12 14 15 15 14 12 11 11 12 11 9 6 4 6 nan
nan 8 8 8 9 9 10 10 11 11 11 10 10 9 8 8 9 9 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 12 12 10 4 -1 -5 -5 -2 3 6 8 8 8 8 8 8 8 9 9 9 8 8 7 6 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 5 5 6 7 9 11 11 10 7 7 7 8 6 5 5 6 6 6 6 8 9 7 3 1 2 7 10 12 11 10 9 7 6 5 5 7 8 10 11 12 13 13 12 12 11 11 11 10 8 5 4 6 nan
nan 8 9 9 9 10 10 11 11 12 11 11 10 9 8 8 9 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 10 11 12 11 9 8 10 12 11 7 4 2 -1 -2 -0 3 7 8 9 9 8 8 8 9 10 10 9 9 8 8 8 7 7 7 7 6 7 6 6 5 5 4 3 3 3 4 5 6 6 7 9 11 11 9 6 5 6 8 9 8 8 6 4 3 3 5 6 5 3 2 6 9 11 11 10 9 8 7 6 6 6 8 9 10 10 10 10 10 10 10 10 10 10 8 6 4 4 6 nan
nan 9 9 9 10 10 10 11 11 12 11 11 9 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 9 9 8 8 7 8 8 8 8 9 9 9 9 10 12 12 11 9 8 10 11 9 8 8 8 6 3 3 4 7 8 9 9 8 8 9 10 11 10 10 10 10 10 11 11 10 9 8 8 8 8 8 8 7 5 4 3 2 3 5 6 7 8 11 12 12 9 6 5 7 8 9 9 7 5 2 1 2 4 5 5 5 7 11 13 12 10 8 8 8 8 7 7 6 7 8 9 10 8 6 6 8 10 10 10 10 8 5 3 3 6 nan
nan 9 9 10 10 10 11 11 11 11 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 12 13 11 10 9 9 9 8 9 10 10 9 8 6 6 7 9 9 9 8 8 9 11 11 10 10 10 11 12 14 15 14 12 10 10 10 10 11 11 10 8 6 4 3 4 5 7 8 10 12 13 12 9 7 7 8 9 9 9 7 4 1 1 3 6 8 8 9 13 16 17 13 9 6 6 7 9 9 8 6 5 6 8 8 5 1 3 7 11 12 11 10 7 5 3 4 7 nan
nan 10 10 10 10 10 11 11 12 11 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 11 11 12 11 10 9 8 7 6 6 6 7 9 9 9 8 9 9 8 8 8 8 9 10 10 9 9 10 11 13 16 16 15 13 11 10 11 11 12 13 13 11 9 6 5 6 7 9 10 12 13 13 11 10 9 9 9 10 11 11 8 5 3 4 8 10 11 10 10 12 15 17 14 8 5 4 6 9 10 9 7 5 6 8 7 2 -1 1 6 11 13 13 11 8 5 3 5 9 nan
nan 10 10 10 10 11 11 12 12 12 11 10 9 8 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 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 6 7 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 9 9 10 10 11 11 12 12 12 11 11 11 10 8 7 7 6 5 3 3 4 6 8 9 9 9 8 6 6 7 9 9 9 8 7 8 9 11 13 15 15 13 10 8 8 9 10 11 12 12 12 10 8 7 7 9 11 12 12 12 12 10 9 8 8 9 10 11 11 9 7 6 8 11 13 11 8 6 7 10 14 14 10 6 5 6 8 9 9 8 7 9 9 6 2 -0 2 6 10 12 13 12 9 5 4 5 10 nan
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nan 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 8 8 8 10 10 7 6 7 9 10 9 7 5 5 6 9 12 14 14 14 14 14 12 10 9 8 7 6 4 3 3 3 4 4 5 6 8 9 10 11 12 12 12 12 13 15 17 18 15 13 11 10 7 6 6 8 9 10 9 8 7 6 8 11 11 9 7 7 8 9 11 12 11 8 4 2 5 10 14 12 8 4 3 6 9 12 11 8 6 5 4 4 3 4 5 5 6 8 9 11 nan
nan 12 12 11 11 11 11 11 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 9 8 8 8 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 7 8 8 9 9 10 10 11 11 11 12 12 13 12 12 11 11 11 9 7 6 4 4 5 7 7 5 5 7 8 6 3 1 1 4 10 14 16 16 14 12 11 10 9 8 8 8 8 7 5 3 3 3 4 5 6 8 10 11 12 12 13 13 12 12 13 15 17 19 17 14 12 11 10 8 8 9 11 12 11 10 9 9 10 11 10 9 8 9 10 12 13 12 9 5 2 1 3 6 10 11 9 6 5 6 8 9 9 8 7 5 3 2 2 4 6 8 9 10 11 10 nan
nan 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 9 8 8 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 9 10 10 11 12 12 13 13 13 13 13 14 14 14 14 14 14 13 10 6 3 2 2 3 6 6 3 2 4 4 2 -0 -0 3 9 15 18 18 15 11 7 4 5 6 7 8 9 9 9 7 5 4 4 4 5 6 8 9 10 10 11 11 11 10 10 11 13 15 16 15 14 12 12 11 10 8 8 10 11 9 8 8 9 10 9 8 8 9 10 11 13 12 9 5 3 2 3 3 3 6 9 9 7 6 6 6 6 6 7 8 7 4 2 3 5 8 10 11 11 11 9 nan
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nan 11 11 10 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 9 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 9 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 11 13 14 14 14 15 15 15 14 14 17 20 22 23 21 17 15 14 12 9 6 4 3 2 2 4 5 5 6 7 10 10 9 10 12 14 15 13 8 5 3 3 4 7 9 11 13 13 13 13 12 11 10 10 9 8 7 6 7 8 8 8 8 9 11 12 12 11 9 7 8 10 10 12 14 13 10 9 10 12 12 9 7 6 6 7 7 7 9 10 11 11 9 6 4 3 3 2 1 2 4 5 6 6 7 8 8 8 7 7 8 7 5 4 3 3 5 9 12 11 9 7 nan
nan 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 10 10 10 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 7 6 6 6 7 8 7 7 8 8 8 8 7 7 7 8 8 8 8 9 10 11 11 10 11 11 12 13 14 14 15 18 22 24 23 20 17 14 13 12 10 9 8 8 8 7 7 8 9 10 12 13 13 13 13 13 13 10 7 4 3 5 7 9 10 12 14 14 14 13 12 12 13 13 14 13 11 9 8 8 8 8 9 10 11 12 13 13 11 6 3 5 8 10 12 15 16 14 12 11 12 13 10 7 5 6 7 8 8 9 9 10 10 9 7 6 6 3 0 -0 1 3 4 4 5 6 7 7 8 8 9 10 9 6 3 1 1 4 8 11 11 9 7 nan
nan 11 11 11 12 11 11 11 10 9 9 10 10 11 11 11 10 10 10 10 9 10 10 10 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 13 14 13 14 14 13 13 14 15 16 16 17 19 19 17 14 12 10 9 9 9 10 11 12 11 10 9 9 11 13 12 10 9 9 9 10 8 6 4 3 5 7 10 11 12 13 14 13 12 10 9 10 11 14 16 16 15 13 11 10 9 9 10 11 11 11 12 13 11 4 -0 3 8 12 14 16 16 15 12 11 10 10 8 6 6 6 7 7 8 8 9 9 9 9 8 8 8 7 4 2 2 2 3 4 4 5 6 7 7 9 11 12 12 9 4 2 2 4 8 10 10 8 7 nan
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nan 12 12 12 12 11 11 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 6 5 4 5 6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 9 8 8 9 12 18 24 30 33 33 30 28 26 23 20 19 18 16 14 13 12 12 8 4 2 2 3 4 5 6 7 7 6 7 8 10 10 7 1 -2 -2 -0 2 3 3 4 6 8 11 15 17 15 11 7 5 4 4 5 6 8 11 13 14 13 13 13 12 10 9 9 9 10 12 13 12 9 2 -2 2 10 14 16 15 13 11 9 8 7 6 5 5 4 4 4 5 6 7 8 9 10 11 11 11 12 13 13 13 12 12 11 11 11 10 10 10 11 11 12 14 15 16 15 14 13 12 10 8 7 7 7 nan
nan 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 8 7 6 5 5 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 8 8 11 16 22 27 31 32 30 26 23 20 18 15 13 12 11 10 9 10 11 9 6 4 4 4 4 4 6 8 9 8 7 8 9 8 5 1 -0 0 2 3 4 4 4 6 8 11 14 15 12 7 5 4 5 7 8 9 10 12 13 12 11 11 12 11 9 8 7 8 9 12 15 14 10 4 1 4 9 13 14 13 11 9 7 6 5 4 3 3 3 4 6 8 9 11 12 13 14 15 16 16 17 18 18 18 18 17 16 14 13 12 11 12 13 13 13 13 15 16 16 15 14 13 11 10 9 7 5 nan
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nan 9 8 7 6 5 4 4 5 6 6 7 8 8 8 7 7 7 7 8 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 13 14 18 24 28 28 25 17 9 7 7 8 10 13 16 18 16 14 13 13 13 14 14 13 11 9 7 6 8 12 16 16 13 9 7 6 6 6 6 5 5 5 6 7 8 9 10 10 10 9 10 10 9 9 8 8 7 5 3 0 -1 0 2 4 6 9 11 12 12 13 14 14 14 13 11 9 9 10 10 10 9 9 8 7 7 7 8 9 11 12 14 15 13 11 11 12 13 12 10 9 8 8 7 6 5 4 3 4 5 6 7 7 7 8 11 12 12 12 11 11 10 9 8 8 9 9 8 7 4 3 4 7 9 9 10 9 9 9 11 13 16 18 17 15 13 11 10 11 13 13 12 10 7 5 5 6 9 12 14 14 12 11 nan
nan 9 8 7 6 4 3 3 5 6 6 7 7 7 7 6 6 7 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 11 11 11 12 12 12 13 14 18 23 28 28 24 17 8 5 7 9 12 16 18 19 18 16 14 14 13 13 11 9 7 6 4 5 8 12 15 13 9 6 4 4 5 6 7 6 6 7 8 9 10 10 10 9 8 9 9 10 11 12 11 11 10 9 6 4 3 3 3 4 5 7 8 8 8 9 11 13 15 15 13 11 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 9 11 14 15 12 9 9 9 8 7 5 4 4 5 6 6 7 8 8 7 8 11 12 12 12 11 11 10 7 6 5 6 6 5 5 4 5 6 8 9 10 11 11 12 13 13 15 16 17 16 13 11 11 12 14 15 14 11 7 5 4 5 9 14 18 19 17 13 12 nan
nan 9 8 7 6 4 3 3 4 6 6 7 7 7 6 5 5 6 7 8 8 8 7 8 9 9 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 14 18 23 29 32 28 20 11 6 7 10 14 16 19 20 20 18 16 15 13 12 10 8 6 4 3 4 7 12 16 16 12 8 6 5 6 8 10 11 11 12 13 13 12 10 8 7 7 7 8 9 10 11 12 11 11 10 10 9 8 7 5 5 5 6 7 6 5 6 8 11 13 15 15 14 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 13 13 11 9 9 11 12 11 9 5 4 6 8 9 9 9 9 8 8 9 10 11 11 11 10 9 7 5 4 5 6 7 7 8 9 9 8 8 7 8 11 14 15 16 16 16 16 16 15 12 10 11 13 15 16 12 8 4 3 4 6 11 17 22 22 18 14 12 nan
nan 9 8 7 6 4 2 2 3 5 6 7 7 7 5 4 4 5 7 8 8 7 7 8 8 9 10 10 9 9 9 10 10 10 10 10 10 11 12 12 12 12 12 14 18 24 30 35 34 25 15 8 8 10 13 16 19 21 21 19 17 15 13 11 10 9 7 5 3 4 7 12 18 20 18 14 11 9 10 12 14 15 15 16 17 16 14 10 9 8 8 9 9 9 9 9 9 9 9 9 11 11 11 10 8 7 7 7 7 8 7 6 6 8 11 14 16 16 14 12 11 10 10 11 10 10 10 10 10 11 11 12 12 12 13 13 11 10 8 9 12 14 14 13 10 8 9 11 12 13 12 10 8 6 6 7 8 9 10 10 9 8 7 6 6 7 9 11 14 16 17 15 12 8 7 7 10 13 15 15 16 16 17 16 15 13 12 13 13 12 11 7 3 1 1 3 7 12 17 22 21 18 15 13 nan
nan 9 8 7 6 4 2 1 2 4 7 8 8 7 6 4 4 5 6 7 7 7 7 7 8 9 9 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 14 17 24 31 35 35 26 16 9 7 9 11 14 17 20 21 20 17 14 12 10 10 9 8 5 4 4 6 11 17 21 22 20 17 14 13 15 15 14 14 15 16 16 14 11 11 12 13 13 12 10 9 8 7 7 7 8 10 11 12 12 11 10 9 8 8 9 9 8 7 7 9 12 14 14 13 12 10 10 10 10 10 10 9 10 10 11 12 12 13 13 12 11 10 10 10 11 13 12 11 10 10 12 14 14 14 13 11 8 5 3 4 5 7 9 10 10 9 8 7 7 8 9 12 15 20 22 21 18 13 9 7 7 9 10 11 13 15 16 17 17 16 16 16 14 11 7 4 0 -2 -0 3 6 10 14 17 19 19 16 14 13 nan
nan 9 9 8 6 4 2 1 2 5 7 8 9 8 7 6 5 5 6 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 13 14 17 23 30 33 33 25 13 6 5 6 9 11 14 17 19 19 17 15 12 10 10 9 8 6 4 4 5 9 14 17 19 20 19 17 16 17 16 13 11 10 11 12 11 11 11 13 14 14 12 10 8 7 6 6 7 8 9 11 12 13 12 11 9 7 6 7 9 10 10 10 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 12 13 14 13 12 11 10 10 11 15 16 15 13 11 9 6 4 3 4 6 8 9 10 9 8 7 8 9 10 11 13 15 19 21 19 15 11 8 6 7 8 10 12 13 15 16 16 15 16 17 17 13 8 2 -3 -5 -2 3 7 11 13 15 17 17 16 14 13 12 nan
nan 10 9 8 7 5 3 2 2 5 6 8 9 9 9 8 7 6 7 7 6 6 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 13 14 17 21 27 32 31 24 12 4 4 6 8 11 13 16 18 19 19 17 14 12 10 9 8 6 5 4 5 7 10 13 15 16 17 17 17 17 17 14 11 8 8 8 9 9 9 10 11 10 9 8 7 7 7 8 10 11 11 12 12 12 11 9 6 5 4 5 6 8 10 11 10 8 9 10 11 11 11 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 13 16 16 14 12 10 10 11 13 15 16 14 11 9 8 7 4 4 6 10 13 13 11 8 7 8 10 12 13 12 11 10 12 15 14 12 8 5 3 5 9 14 18 19 18 16 14 12 13 13 12 8 2 -4 -7 -5 1 7 11 13 14 14 15 15 14 13 12 12 nan
nan 10 9 8 7 6 4 3 3 4 6 7 7 8 8 8 8 8 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 14 17 21 26 30 30 23 13 6 5 7 9 12 15 17 19 20 20 20 18 15 11 8 7 5 4 3 4 5 8 11 13 15 16 17 16 17 16 15 13 11 10 10 10 9 8 7 6 5 5 5 6 7 9 11 13 15 14 13 11 9 7 4 3 3 4 5 6 7 8 9 8 7 8 9 10 10 10 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 13 15 14 12 10 9 10 11 13 15 16 14 12 10 9 8 5 5 9 13 16 15 11 7 7 9 12 13 13 11 8 6 5 7 9 7 5 3 1 4 11 18 23 23 20 16 10 8 8 7 6 2 -4 -7 -7 -2 5 10 12 13 13 13 13 13 13 12 12 11 nan
nan 10 9 9 8 7 5 3 3 4 6 7 6 7 7 7 8 8 8 8 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 13 16 20 25 29 31 25 16 9 6 7 9 11 14 17 19 20 21 21 20 17 13 9 7 5 4 3 3 3 6 10 14 16 17 16 15 14 13 12 12 12 12 13 12 11 10 9 7 5 3 4 5 8 11 14 17 19 17 12 9 5 3 1 1 4 7 8 8 8 7 7 6 6 6 7 8 8 9 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 14 13 11 10 10 10 10 9 11 14 16 17 14 11 9 8 8 8 11 12 13 11 7 6 7 10 12 13 12 11 8 4 2 2 5 6 7 6 4 5 10 15 20 22 20 14 8 4 4 4 3 1 -4 -5 -2 3 8 12 13 13 12 12 12 12 12 11 11 11 nan
nan 10 10 9 9 7 5 3 3 4 6 7 7 6 6 6 8 9 9 9 8 8 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 12 13 15 19 25 30 33 30 19 11 7 6 7 8 10 12 15 18 20 21 22 20 16 12 10 8 6 5 4 4 6 10 14 16 16 14 12 10 10 9 9 10 11 12 13 13 12 12 10 8 6 6 9 11 13 15 17 17 14 9 4 1 1 3 6 9 11 11 11 10 9 7 6 5 6 6 7 9 10 11 11 11 11 11 11 11 11 11 10 11 12 12 13 13 12 11 10 11 12 11 10 8 9 13 16 18 17 14 11 10 11 11 11 9 6 3 2 4 8 11 13 13 13 12 9 6 4 5 7 11 13 12 9 8 10 13 16 19 18 13 7 3 3 4 4 3 0 1 5 9 12 13 13 12 11 11 11 11 10 10 10 10 nan
nan 10 10 10 10 8 5 3 2 5 8 9 8 6 6 6 8 9 9 10 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 13 14 17 24 31 34 32 21 11 7 5 5 6 7 9 12 15 18 20 21 21 20 17 15 13 11 10 8 6 6 10 13 14 13 11 9 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 11 13 15 15 13 11 9 5 1 1 3 10 16 17 15 13 12 11 9 8 7 6 8 8 9 10 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 12 14 14 11 8 6 7 11 15 17 18 16 13 10 9 9 9 6 3 0 1 4 8 11 14 16 15 13 8 6 6 7 10 13 15 14 13 12 13 15 18 19 17 11 7 5 5 6 7 6 6 7 10 13 14 14 13 12 10 10 10 10 9 9 9 9 nan
nan 11 11 11 10 9 6 4 4 5 9 10 9 8 6 7 8 9 10 10 10 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 13 14 17 23 30 35 32 22 11 6 5 4 6 8 10 12 13 16 18 19 19 19 18 17 15 14 12 11 10 10 12 13 14 13 11 9 9 10 11 11 11 10 8 7 7 7 8 9 9 10 10 11 13 14 14 12 8 6 4 3 5 8 14 19 19 15 12 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 10 13 14 14 10 5 4 6 10 12 13 14 14 10 6 3 4 7 8 7 5 3 6 9 13 16 18 16 12 6 4 5 6 7 7 9 12 13 15 17 19 20 20 15 10 7 6 7 8 9 9 10 11 13 14 14 13 13 12 11 10 10 9 9 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
42 43 44 45 44 42 39 36 39 38 36 29 22 22 28 35 34 30 38 53 51 34 26 19 21 20 15 11 11 11 9 8 8 7 5 5 5 5 6 7 7 8 8 9 13 16 19 20 19 20 21 21 21 22 23 23 22 20 18 18 17 15 13 14 15 14 13 13 14 15 14 14 15 16 18 14 10 7 7 7 7 7 6 5 5 5 5 5 6 6 6 6 5 5 4 5 5 4 5 6 5 4 4 4 4 4 4 4 4 4 4 3 3 2 0 0 9 23 70 166 202 106 26 3 0 0 0 0 0 5 52 67 274 441 406 257 114 35 9 15 36 53 52 34 14 8 2 0 18 84 164 204 218 309 339 285 200 127 82 60 54 79 107 62 35 57 91 120 192 265 331 431 553 596 551 492 501 604 769 683 496 370 324 323 334 319 288 268 258 260 263 262 262 275 307 342 362 369 365 350 329 316 330 455 404
43 44 42 42 41 37 33 31 32 34 26 27 24 23 26 31 31 27 30 42 43 31 22 17 19 16 13 12 13 13 10 8 7 7 6 5 5 6 6 7 7 8 10 12 15 18 19 19 20 19 19 19 20 20 20 20 19 17 16 18 20 21 21 24 25 24 20 19 19 23 20 23 26 21 15 10 8 7 7 7 7 6 6 5 6 5 6 6 6 6 6 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 3 15 35 91 159 163 77 9 1 0 0 0 0 0 0 0 2 24 43 31 9 2 8 24 44 53 50 41 28 16 14 12 9 11 58 121 162 192 249 253 191 139 112 90 62 37 36 68 35 8 19 71 146 230 292 333 421 526 556 525 498 514 561 631 552 399 315 290 293 290 262 229 215 208 188 160 141 149 187 249 315 364 390 391 368 331 300 290 313 284
40 40 38 36 31 26 25 24 25 25 21 24 20 20 23 28 32 34 36 41 38 27 20 18 19 14 12 11 10 10 9 8 7 7 5 5 5 5 5 6 7 8 10 14 15 16 18 19 17 18 18 19 19 19 18 18 17 15 14 17 22 30 34 38 39 36 35 34 33 37 35 29 27 22 15 10 7 7 7 7 6 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 0 1 12 20 46 79 106 94 41 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 31 61 80 66 46 33 25 21 22 28 28 13 22 63 115 159 182 157 108 97 101 89 60 25 4 12 12 8 26 99 197 255 258 261 330 436 487 493 501 516 506 458 372 272 271 268 253 225 193 169 160 158 137 101 72 75 119 194 273 353 395 389 353 310 263 212 166 148
34 35 32 28 23 22 23 23 23 23 23 20 16 21 21 26 31 35 36 36 33 25 21 23 21 15 14 13 10 8 7 8 10 11 6 5 5 5 5 6 7 8 9 10 12 12 14 17 19 18 18 18 18 17 16 15 14 13 12 17 25 35 42 45 52 53 45 35 29 25 17 17 18 16 14 12 9 7 6 6 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 0 0 3 12 23 44 43 42 31 12 0 0 0 0 0 0 0 0 0 0 0 0 2 11 35 69 94 92 64 47 39 35 33 35 39 36 20 8 34 81 113 115 88 53 45 66 64 39 13 0 0 7 53 78 165 203 176 125 119 209 360 450 479 490 462 383 290 230 194 241 240 206 172 154 149 145 132 101 63 42 45 82 154 249 344 394 378 337 296 228 151 99 75
34 33 26 25 24 24 25 26 27 28 28 24 18 16 19 27 30 36 39 35 28 24 23 30 24 17 12 9 7 6 6 8 8 7 6 5 4 5 6 7 7 8 9 10 12 12 12 14 16 15 16 16 16 15 13 13 13 13 12 26 30 36 42 44 51 53 43 32 23 17 15 16 16 10 9 9 7 6 6 6 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 2 0 0 0 5 15 27 42 26 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 8 28 69 108 121 104 77 62 55 50 47 46 45 42 33 17 23 47 62 62 50 30 13 31 29 13 3 0 0 25 125 143 122 77 44 22 46 154 324 450 464 420 325 231 175 163 172 196 170 132 115 123 138 140 119 82 47 36 44 80 154 256 353 398 369 326 367 291 154 65 38
30 29 24 23 26 28 30 33 36 38 36 31 20 16 21 28 30 36 38 36 30 26 24 23 19 15 11 8 7 6 6 6 6 7 6 5 4 5 6 6 6 7 7 9 10 12 10 11 11 12 14 14 13 13 12 12 13 13 15 29 29 40 40 36 34 35 31 27 28 26 23 17 9 7 7 6 6 6 6 6 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 2 0 0 0 11 26 45 62 48 16 2 0 0 0 0 0 0 0 0 0 0 0 1 4 17 52 104 144 152 132 104 83 72 64 60 56 53 50 46 38 27 26 27 21 11 3 1 3 4 1 0 0 0 4 18 32 17 8 2 0 28 118 266 401 435 341 191 106 91 110 125 123 97 75 80 100 116 116 99 73 50 50 70 122 198 288 364 385 338 262 190 132 74 30 11
29 28 28 27 29 34 38 41 45 46 42 34 23 19 23 27 31 38 38 35 31 25 21 18 14 11 10 9 7 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 8 7 9 10 11 12 12 11 12 12 11 11 12 16 24 27 31 29 25 22 21 21 20 27 29 26 19 12 10 6 6 6 6 6 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 0 0 2 32 61 106 128 93 30 1 0 0 0 0 0 0 0 0 0 0 0 3 14 37 82 140 182 192 172 141 112 93 81 74 69 63 58 55 52 42 30 29 26 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 61 161 284 354 261 71 24 33 50 56 49 45 46 64 82 94 95 85 70 67 86 128 185 236 285 318 316 276 186 112 68 39 17 5
27 29 30 32 37 41 46 48 49 47 42 33 24 20 24 26 34 38 37 33 28 23 19 16 12 11 10 8 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 11 10 10 10 10 10 10 10 10 10 13 18 19 16 14 15 14 13 14 16 20 25 26 25 22 15 8 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 2 12 72 117 192 193 121 37 0 0 0 0 0 0 0 0 0 0 0 2 10 32 69 121 180 230 248 228 188 147 118 102 92 85 78 71 67 63 58 52 53 54 36 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 60 133 186 102 10 2 7 17 18 15 22 38 58 71 75 77 76 79 102 146 199 216 206 203 209 227 250 189 96 68 50 30 15
31 33 35 36 40 46 50 52 52 48 41 32 24 22 27 29 43 45 37 30 25 20 16 12 11 11 10 8 7 6 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 7 7 8 11 10 10 11 10 10 9 9 11 10 10 13 13 10 9 9 9 8 8 9 12 16 19 20 18 12 8 6 5 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 1 7 34 98 140 155 118 66 20 0 0 0 0 0 0 0 0 0 0 0 9 27 59 106 164 227 290 324 294 232 178 144 126 116 112 103 91 82 78 77 77 76 68 42 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 32 40 12 1 0 1 4 4 9 22 39 49 54 59 65 78 105 154 213 228 186 126 95 113 150 166 152 130 104 78 43 18
35 40 44 43 46 50 54 55 52 46 38 30 25 26 33 40 45 43 35 28 23 20 15 9 10 11 9 7 6 5 4 4 5 5 5 5 6 6 6 6 6 5 5 5 7 7 6 8 11 12 11 12 11 10 9 8 9 9 9 8 9 8 8 8 8 7 7 8 9 10 11 7 7 7 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 0 0 2 18 53 87 70 43 26 12 3 0 3 5 2 0 0 0 0 0 2 8 22 54 88 146 221 295 357 386 335 254 199 167 152 149 152 147 124 105 98 98 97 90 74 45 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 2 0 0 0 0 0 0 0 9 26 39 41 41 48 67 94 135 206 261 214 137 66 35 71 148 212 234 241 243 149 61 20
40 46 48 47 47 51 56 55 52 44 32 27 30 38 43 43 39 34 28 23 21 18 14 9 8 10 7 6 6 5 4 4 5 5 5 6 8 8 7 8 7 6 5 5 6 7 6 8 12 12 11 11 10 9 8 8 7 8 8 7 7 7 7 7 6 7 9 11 12 11 9 8 6 5 5 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 0 0 5 42 78 76 37 8 1 0 0 9 43 68 48 0 0 0 0 1 8 23 44 77 103 174 286 383 424 401 333 258 210 177 162 166 181 185 168 142 129 122 113 100 79 50 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 4 16 31 37 33 32 44 68 92 138 233 287 220 115 40 16 41 133 287 443 531 536 335 95 28
47 48 48 46 46 49 53 51 47 40 35 37 45 57 50 39 29 23 20 19 18 15 12 10 8 7 6 6 5 5 4 5 6 7 7 8 8 8 7 8 7 5 5 6 6 7 6 6 8 10 10 9 8 8 8 8 7 7 6 6 6 5 5 4 4 6 8 10 11 10 7 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 1 0 2 12 79 122 89 37 7 0 0 0 80 226 294 184 0 0 0 2 8 20 41 68 89 99 157 290 420 460 403 314 244 190 146 126 133 157 181 187 177 163 147 127 108 87 58 25 19 3 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 5 13 20 18 7 0 0 6 20 32 38 39 41 47 60 69 112 222 289 243 133 47 19 22 47 133 343 649 816 579 146 45
48 48 48 49 48 47 46 44 35 42 45 51 57 53 40 28 19 16 18 17 14 11 10 9 8 7 6 6 5 6 5 6 6 6 6 7 7 6 7 8 7 5 6 6 6 6 6 6 9 8 8 7 7 7 8 7 7 6 5 4 3 3 4 3 3 4 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 1 2 13 48 134 171 98 36 7 0 0 14 200 482 537 264 0 0 2 10 22 37 55 71 79 82 105 203 348 433 392 277 168 109 71 63 73 96 131 164 182 179 163 142 120 98 74 51 32 21 6 2 2 5 10 16 17 10 2 0 0 0 0 2 10 30 37 33 21 6 0 0 2 11 26 45 58 59 50 45 46 85 201 287 279 190 90 38 33 22 21 81 245 488 591 229 77
46 47 46 45 45 42 39 34 28 35 43 47 47 41 30 18 16 15 18 16 12 11 12 11 9 7 6 6 6 6 6 7 7 6 6 6 6 6 7 8 7 6 6 7 6 7 8 8 7 9 7 7 7 7 7 6 5 4 3 2 2 3 4 4 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 6 35 96 169 170 75 23 4 0 0 28 169 384 352 124 1 3 11 27 39 49 56 61 59 54 57 94 194 291 258 150 60 30 19 26 42 63 90 128 165 184 179 155 124 100 83 76 74 43 23 20 22 27 35 42 39 20 2 0 0 0 5 20 49 71 64 42 19 5 0 0 0 6 24 52 69 61 40 31 37 72 216 328 359 300 186 88 71 51 23 10 21 110 255 207 80
44 44 43 41 39 35 32 25 29 40 44 46 42 32 22 17 17 14 18 15 13 12 12 11 10 10 8 7 6 7 8 7 6 5 6 6 7 7 7 8 8 7 6 6 6 6 7 8 9 9 8 7 7 7 6 6 5 3 2 1 1 2 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 10 50 110 148 119 53 17 3 0 0 9 33 48 7 2 4 14 30 43 45 46 49 48 41 33 27 31 58 96 70 29 7 3 8 30 55 89 99 120 160 193 190 157 118 102 105 99 87 71 47 43 49 59 61 54 36 14 1 0 1 4 21 53 91 108 102 66 36 16 5 0 0 3 13 38 53 45 34 41 61 88 233 372 441 418 326 222 172 113 83 55 35 43 69 66 61
41 39 38 35 31 27 25 25 37 43 44 40 32 22 19 19 17 13 12 13 13 13 11 10 10 11 11 8 7 8 9 7 6 5 6 7 7 7 8 9 9 8 7 7 7 7 6 8 9 9 9 9 8 7 7 6 4 3 2 1 1 1 2 1 1 1 1 2 2 3 3 4 3 3 3 4 4 4 4 3 3 3 2 3 3 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 1 4 9 14 14 16 56 101 116 90 49 26 7 1 0 1 4 4 1 3 12 28 40 42 35 32 35 34 29 21 13 7 6 5 0 0 0 0 14 47 86 136 140 146 177 199 188 157 135 150 167 133 97 76 61 64 77 83 69 43 21 12 10 14 11 13 28 57 94 126 134 101 63 43 33 26 20 12 10 19 35 40 49 70 93 120 211 367 506 555 499 402 313 172 131 89 64 42 35 53 86
37 36 37 30 25 24 29 37 46 43 36 27 19 18 21 22 16 10 9 13 13 12 11 11 11 12 13 14 10 7 7 6 5 5 6 7 7 8 9 10 9 8 7 8 8 9 8 9 10 10 9 9 8 8 6 5 3 2 2 1 1 1 1 1 0 0 1 2 2 3 3 3 2 3 3 4 4 4 4 3 3 3 2 3 2 2 2 2 2 2 1 1 1 0 0 1 1 1 2 2 2 2 2 1 0 14 34 47 49 49 81 106 113 91 57 31 9 0 0 0 1 2 5 10 18 30 27 22 17 17 21 24 22 14 5 1 0 0 0 0 0 0 10 33 62 89 99 113 142 156 154 154 174 201 225 143 97 86 89 97 103 94 63 29 9 7 15 21 15 10 13 31 70 115 141 126 90 71 65 53 40 29 18 16 30 46 61 84 104 113 148 276 451 575 638 593 447 260 239 149 87 55 41 48 82
36 38 39 33 26 28 36 43 41 35 22 19 19 21 22 21 14 9 10 11 11 11 12 12 11 11 13 18 17 8 7 6 6 6 7 7 7 8 9 10 10 9 8 8 10 11 10 10 10 9 8 7 6 6 5 4 3 2 1 1 0 0 0 0 1 1 1 2 3 3 3 2 2 3 4 4 4 3 3 3 3 2 3 2 2 2 2 1 1 1 0 0 0 0 0 0 1 1 2 2 1 1 1 0 0 18 44 61 67 77 89 87 94 81 47 16 3 0 0 0 3 8 13 15 11 10 6 5 5 8 15 18 14 6 1 0 0 0 0 0 0 0 2 7 14 18 22 32 59 85 100 97 97 109 144 73 60 82 103 104 94 74 50 30 13 3 0 0 1 1 2 11 42 90 129 135 103 70 55 42 29 20 15 9 18 30 44 75 101 105 109 170 318 486 689 762 661 513 463 301 141 52 17 18 49
38 36 33 32 33 36 38 38 33 23 16 20 22 22 21 19 14 12 15 13 13 12 12 13 11 10 9 10 11 6 5 6 7 8 8 7 7 8 10 10 10 10 10 11 12 11 11 10 9 8 7 7 6 5 4 3 2 1 1 1 0 0 0 1 0 1 2 2 3 3 3 4 4 4 4 5 4 3 3 3 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 1 6 18 26 30 36 40 34 38 33 16 4 0 0 0 0 4 10 10 5 0 1 0 0 0 4 9 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 21 67 111 62 15 7 5 1 0 23 47 54 44 30 25 25 15 4 0 0 0 0 0 2 19 54 92 104 82 49 32 23 16 14 11 3 4 11 26 63 95 103 96 114 195 412 638 790 812 759 683 451 203 74 25 18 37
38 32 29 33 39 39 36 29 20 20 23 26 23 20 17 16 17 18 19 14 15 13 13 12 11 11 11 8 7 6 5 6 7 8 8 8 9 9 10 10 10 10 11 12 13 12 11 10 8 8 7 5 5 4 3 2 1 1 1 1 1 0 0 0 0 1 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 2 2 2 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 3 9 14 2 0 0 0 0 0 0 1 4 1 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 45 65 25 1 0 0 0 0 0 0 5 6 5 4 7 7 2 0 0 0 0 0 0 6 24 47 60 52 30 28 24 15 13 10 5 4 4 8 34 53 51 44 55 93 232 400 588 699 747 685 434 181 71 34 24 33
54 48 37 36 34 29 24 20 20 27 31 28 22 15 13 15 18 19 18 14 14 11 12 11 11 11 11 9 7 7 6 6 7 8 8 9 10 10 11 11 11 11 11 13 13 12 11 10 7 6 5 5 4 5 2 1 1 1 1 2 1 0 0 0 0 1 2 2 2 2 2 3 3 4 4 4 4 3 3 3 3 2 2 1 1 1 1 0 0 1 1 1 1 1 5 12 12 12 11 8 6 4 2 5 8 9 6 3 0 3 15 30 27 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 21 33 39 25 12 11 10 8 7 7 7 5 10 17 15 12 16 30 81 196 334 427 518 517 356 155 63 46 38 34
53 55 43 39 30 23 22 26 31 32 29 19 15 15 15 16 18 17 16 14 13 12 13 13 12 10 8 7 6 6 5 5 7 8 8 9 10 11 11 11 11 12 11 10 11 11 10 9 6 6 5 5 5 4 2 1 1 2 2 1 0 0 0 0 1 1 2 2 2 2 3 3 3 4 4 3 3 3 3 2 2 2 1 1 1 0 0 1 1 1 1 1 0 2 11 33 50 51 43 34 30 28 26 44 56 49 29 11 1 8 53 44 21 4 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 8 6 10 4 8 10 11 12 12 9 6 6 6 7 7 10 34 110 188 246 344 380 294 150 75 58 46 39
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