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 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 6 6 7 7 7 7 8 9 11 14 15 14 10 7 6 5 4 4 3 4 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 6 7 9 10 12 12 11 8 7 7 6 6 7 7 7 7 7 7 7 8 7 5 4 2 -3 -6 -4 1 4 6 8 10 12 14 15 15 11 7 4 4 7 11 15 20 25 31 36 38 36 29 21 16 14 14 14 14 14 14 14 14 14 14 15 15 16 16 16 16 16 14 13 11 10 9 9 9 9 8 nan
nan 3 2 2 3 3 3 3 3 3 4 4 4 5 5 5 3 2 3 5 6 8 8 8 8 8 8 8 9 10 11 11 9 7 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 8 11 13 15 14 11 8 8 8 7 7 7 7 7 6 6 6 7 7 6 4 3 1 -3 -6 -4 2 5 7 10 11 12 13 13 11 9 6 4 4 5 7 10 14 20 25 32 36 36 31 24 20 18 19 21 22 22 22 21 20 20 20 21 22 23 24 25 25 24 23 21 18 16 14 13 12 12 11 nan
nan 3 2 2 3 3 3 3 3 4 4 5 7 9 12 12 9 5 3 4 7 9 9 9 8 8 8 8 8 8 7 7 6 5 4 3 4 5 6 7 7 6 5 5 5 4 4 4 3 3 2 2 2 2 2 3 5 8 12 16 18 17 12 9 8 8 8 9 9 8 7 6 6 6 7 7 5 3 3 1 -3 -5 -2 4 7 9 11 12 12 11 10 9 9 8 8 6 5 6 7 10 13 18 23 26 27 25 22 20 20 22 24 26 28 27 26 24 23 22 23 26 28 29 31 31 31 30 29 26 24 21 19 18 18 17 nan
nan 3 2 2 2 3 3 3 3 4 5 6 9 13 19 23 20 13 7 5 7 8 9 8 8 8 8 8 7 7 6 6 5 5 5 5 6 7 7 7 7 6 6 5 4 3 2 1 1 0 1 1 1 2 3 3 4 7 12 16 17 16 12 9 7 8 8 9 9 8 7 6 6 7 7 7 5 3 2 -1 -4 -3 2 7 10 12 12 12 10 9 8 8 9 9 8 7 6 5 5 6 8 10 12 14 15 16 15 15 16 18 20 22 24 24 22 21 19 19 19 22 24 26 29 30 31 32 32 31 29 27 25 24 24 24 nan
nan 2 2 2 2 3 3 3 4 4 5 7 10 15 20 24 22 16 10 8 8 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 5 5 4 3 2 1 0 -0 -1 0 1 2 2 3 4 4 4 6 10 13 12 11 10 9 7 6 7 8 8 8 7 7 7 7 7 5 3 2 0 -3 -5 -1 7 11 13 13 12 11 9 7 7 7 7 7 7 7 6 6 5 4 4 4 5 6 6 7 8 8 9 10 11 12 13 14 13 12 11 11 11 12 14 17 19 22 24 25 26 28 28 27 26 26 25 25 nan
nan 2 2 2 3 3 3 4 4 5 6 7 10 12 15 16 14 11 9 9 9 9 8 7 7 6 6 6 6 6 6 6 5 5 6 6 6 6 5 4 3 3 2 1 0 -0 -0 0 1 2 3 4 4 4 4 4 5 6 9 11 9 7 7 7 6 6 7 7 7 7 6 7 7 8 7 5 2 -0 -2 -4 -3 4 10 13 14 13 11 9 8 7 6 6 6 6 6 7 7 6 5 4 3 3 2 3 3 3 3 3 3 4 4 5 4 5 5 5 4 4 4 4 5 7 9 11 13 15 16 17 19 19 19 20 19 19 nan
nan 2 2 3 3 3 4 4 5 6 6 7 8 9 10 9 8 7 8 9 8 8 7 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 5 5 6 8 10 9 7 6 6 6 7 7 7 7 6 6 6 7 7 7 5 1 -2 -5 -5 0 7 11 13 12 10 9 7 7 6 6 5 5 6 6 6 6 5 5 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 3 3 2 2 2 1 2 3 4 5 6 7 7 8 9 9 9 10 10 nan
nan 3 3 3 3 4 4 5 6 6 6 7 7 7 7 7 7 7 8 7 6 6 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 6 7 9 10 9 7 6 7 8 8 7 7 6 6 7 8 8 6 4 -1 -4 -6 -4 3 9 11 12 11 8 7 6 6 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 nan
nan 3 3 3 4 4 5 6 6 6 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 7 7 7 6 6 6 5 5 5 5 6 6 6 5 5 6 6 8 10 9 8 6 7 8 8 7 7 7 7 8 9 8 6 3 -1 -5 -7 -4 4 10 11 11 9 8 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 nan
nan 3 3 3 4 4 5 6 6 7 7 8 8 7 7 6 6 6 5 5 4 3 3 3 3 2 2 2 2 3 3 4 5 5 5 6 6 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 5 6 6 7 9 10 9 7 7 8 9 8 8 8 7 7 8 8 6 3 1 -3 -6 -3 5 10 11 10 9 8 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 3 3 3 4 4 5 6 7 8 8 9 8 7 6 6 5 5 4 4 3 3 2 2 2 2 2 3 3 4 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 5 5 6 7 10 11 10 8 8 9 9 9 9 8 7 6 7 7 6 5 3 -0 -2 1 6 10 11 10 10 9 9 8 7 7 7 7 7 7 7 7 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 5 6 6 6 6 6 6 6 7 nan
nan 3 3 4 4 4 4 6 7 9 9 9 9 7 6 6 5 4 4 3 3 2 2 2 2 2 3 3 4 5 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 5 6 5 5 5 5 5 5 6 6 8 10 12 11 9 9 9 9 9 9 8 7 6 6 6 7 5 1 -0 1 5 9 11 11 11 10 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 nan
nan 3 4 4 3 4 5 6 8 9 9 9 8 7 6 5 4 4 3 2 2 2 2 2 2 3 3 4 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 6 7 8 9 11 11 9 10 10 9 8 8 8 8 6 6 5 6 6 4 0 -0 4 9 12 11 10 10 10 10 9 8 7 6 6 6 6 6 7 7 6 6 7 7 7 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 4 4 4 4 3 nan
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nan -4 -3 -1 3 5 6 6 7 8 8 8 8 6 5 4 4 3 3 3 2 1 1 1 2 3 4 5 7 8 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 8 11 15 16 16 14 11 10 11 11 10 9 7 6 6 5 5 5 6 6 4 3 5 9 11 11 9 8 7 7 6 6 6 5 5 5 5 5 5 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 5 4 4 3 nan
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nan 12 11 9 8 9 9 9 9 8 7 5 3 1 0 2 3 3 2 2 3 3 4 5 6 7 7 7 6 4 4 3 4 5 7 8 8 8 8 7 7 7 7 6 6 7 7 9 10 11 12 12 11 9 8 7 7 7 7 8 9 10 10 9 8 7 7 6 6 6 5 3 0 2 6 8 8 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
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nan 6 6 6 5 5 5 5 5 5 6 7 6 3 2 3 5 6 7 8 9 7 6 6 6 6 6 7 7 8 7 7 7 6 6 7 8 9 8 9 10 9 8 8 8 8 8 7 7 8 8 9 9 8 8 8 9 8 8 8 8 8 8 8 9 8 7 6 4 3 2 0 1 4 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 6 6 6 6 6 6 6 nan
nan 6 6 6 6 6 6 6 6 6 7 7 6 5 5 6 6 7 8 9 9 9 9 8 7 7 6 6 6 7 7 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 9 9 8 8 8 9 9 9 8 9 9 9 8 8 8 8 7 8 8 8 7 6 5 3 1 -0 1 4 5 6 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 nan
nan 6 7 7 7 7 7 6 6 6 6 7 6 6 7 7 7 7 8 8 8 8 9 8 8 7 6 6 6 7 8 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 8 7 8 8 8 8 8 7 7 6 5 3 -1 -2 -0 3 5 6 6 7 7 8 8 8 8 9 8 8 8 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 nan
nan 7 7 8 8 7 7 7 6 5 6 6 7 7 7 6 6 7 8 7 7 7 8 8 8 7 7 7 6 7 8 9 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 8 7 6 5 3 -1 -4 -3 1 4 5 6 6 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 nan
nan 8 8 8 8 7 7 7 6 6 6 7 7 7 7 6 7 8 7 6 6 7 7 8 7 7 8 8 7 7 7 8 7 7 6 6 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 9 10 9 8 7 6 4 1 -3 -4 -0 3 4 5 5 6 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 nan
nan 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 7 8 10 11 9 8 7 6 3 -1 -4 -2 2 4 4 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 6 6 nan
nan 9 8 7 6 7 8 8 8 8 8 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 9 9 9 7 8 10 11 10 9 8 7 4 1 -2 -2 1 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 nan
nan 9 8 6 6 7 8 8 9 8 7 6 6 7 7 8 8 8 7 7 7 6 6 7 7 7 7 6 6 5 5 5 6 7 7 6 6 6 6 7 7 7 7 8 8 8 7 7 7 8 7 7 7 7 7 8 8 8 7 8 9 8 8 8 9 11 11 10 9 8 6 3 1 -1 0 2 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 6 nan
nan 9 7 7 6 7 7 8 8 8 7 6 7 7 8 8 8 8 8 7 6 6 6 6 7 7 6 6 6 6 7 7 8 8 7 7 6 5 5 6 6 6 7 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 9 8 7 5 2 -0 -1 1 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 8 6 3 -1 -2 -1 1 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 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 7 7 6 6 nan
nan 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 7 8 8 8 8 7 7 7 8 8 8 8 7 6 5 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 8 9 10 9 9 9 9 9 9 8 5 1 -1 -1 0 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 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 7 7 7 7 7 7 nan
nan 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 7 9 10 9 9 9 9 9 9 9 7 5 2 -0 -0 1 1 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 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 7 7 7 7 7 7 7 nan
nan 7 8 7 7 7 7 7 6 6 7 7 8 9 8 8 7 7 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 7 7 7 7 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 8 7 6 7 8 9 9 9 10 10 9 9 9 9 8 6 2 0 -0 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 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 7 7 7 7 7 7 7 nan
nan 8 8 7 7 7 7 7 7 7 7 8 8 9 8 8 7 8 8 8 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 8 7 7 8 9 9 9 10 10 9 9 8 9 9 8 5 2 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 2 3 3 3 4 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 9 9 8 7 7 8 8 8 9 9 10 9 9 8 8 8 8 7 5 3 3 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 nan
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nan 7 6 6 7 7 8 8 8 7 8 8 8 8 8 7 7 7 7 7 6 6 5 6 6 6 5 5 5 6 6 7 7 7 7 7 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 8 8 7 7 8 8 7 8 8 9 9 8 8 8 9 8 8 7 8 8 8 7 7 8 8 8 8 7 7 8 8 9 9 8 7 5 3 2 2 2 2 2 1 1 1 1 2 2 3 4 5 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 nan
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nan 6 6 6 7 7 8 7 7 7 8 8 8 7 7 6 6 5 5 6 6 7 7 8 7 7 6 6 6 7 7 7 7 7 7 7 7 6 7 8 8 8 7 7 6 7 7 7 7 6 7 7 8 8 8 8 7 7 6 7 8 10 10 9 8 9 8 8 8 7 7 6 6 7 8 8 8 7 8 8 8 8 8 8 8 8 7 6 5 5 5 5 4 4 3 2 2 2 2 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 7 7 7 8 8 7 7 6 7 7 7 7 7 7 7 8 7 7 6 7 7 8 8 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 10 9 9 9 9 8 7 7 7 6 6 6 7 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 5 4 3 2 2 3 4 5 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 6 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 6 7 7 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 6 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 5 4 3 3 4 4 5 6 6 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 6 6 6 5 6 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 4 4 4 4 5 6 7 7 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 8 8 8 8 8 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 7 7 7 8 8 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 8 9 9 9 8 7 7 6 6 5 5 6 7 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 5 6 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 nan
nan 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 9 10 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 8 7 7 7 7 6 5 5 6 7 8 8 7 7 7 8 8 8 7 8 8 8 8 9 9 8 6 5 6 7 7 7 6 5 5 6 6 7 8 8 7 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 nan
nan 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 8 8 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 8 8 9 9 8 7 7 7 6 6 5 6 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 8 6 5 5 6 8 7 7 6 6 6 7 8 9 8 8 7 6 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 7 7 8 9 9 9 8 8 7 6 6 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 7 5 5 7 8 8 8 7 7 8 8 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 7 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 7 7 7 8 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 7 6 7 8 8 8 9 9 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 7 6 6 6 7 7 7 nan
nan 7 8 9 9 8 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 6 6 6 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 9 11 13 12 11 9 8 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 7 7 nan
nan 8 8 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 7 7 8 8 8 7 7 8 8 8 7 7 7 8 7 6 7 10 12 14 13 10 8 6 6 6 6 6 6 7 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 nan
nan 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 9 9 8 8 8 8 9 9 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 8 8 7 6 6 7 7 7 7 7 9 10 11 10 8 5 4 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 nan
nan 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 8 7 6 6 7 8 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 8 8 8 8 8 6 4 4 6 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 6 6 5 5 5 6 6 7 7 7 7 8 nan
nan 7 7 7 7 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 7 7 8 8 8 8 8 8 8 7 6 6 7 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 8 7 6 6 5 5 5 5 6 7 7 7 8 8 8 nan
nan 7 7 7 8 8 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 7 7 6 7 7 7 6 6 5 5 5 5 6 6 6 7 8 9 10 10 11 10 10 10 10 11 11 11 10 9 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 8 9 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 7 6 5 5 5 5 5 6 7 7 8 8 8 8 7 nan
nan 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 7 7 6 6 7 7 6 6 6 6 6 5 6 6 6 6 6 8 9 11 11 11 11 11 10 11 11 12 11 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 7 8 8 8 8 8 9 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 7 6 5 5 4 5 5 6 7 7 8 8 8 8 7 7 nan
nan 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 8 8 8 8 7 7 7 6 6 6 5 5 5 6 6 7 8 10 12 12 12 12 11 10 11 12 13 12 11 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 8 9 9 10 9 9 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 8 7 6 5 5 4 5 5 6 7 8 8 8 8 8 8 7 7 nan
nan 8 7 7 6 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 6 5 5 6 6 7 8 10 12 13 12 12 11 10 9 10 11 13 13 12 10 9 9 9 9 9 9 8 8 8 8 6 6 6 7 7 6 6 6 6 6 7 7 7 6 6 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 9 10 11 12 14 16 16 15 13 10 7 6 5 5 5 5 6 7 8 8 8 8 8 8 7 6 6 nan
nan 8 7 7 7 7 7 7 8 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 9 11 13 13 12 10 9 8 8 9 10 12 12 12 10 8 7 8 8 9 9 9 8 8 8 6 6 6 7 7 7 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 7 6 6 6 7 7 7 6 7 7 8 9 11 13 16 18 18 16 12 8 5 5 5 5 6 6 7 8 8 8 8 8 7 7 6 6 5 nan
nan 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 6 6 7 9 11 13 12 11 9 8 7 8 8 9 11 11 11 10 8 7 7 7 8 8 8 9 9 7 6 6 6 7 7 7 7 6 6 6 7 7 7 6 6 6 7 7 7 6 7 7 7 8 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 8 8 9 10 11 13 14 13 9 3 -0 1 4 5 6 7 7 8 8 8 8 8 7 7 6 6 5 5 nan
nan 8 7 7 7 8 8 8 9 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 8 8 8 8 7 7 6 7 8 10 12 11 10 9 9 9 9 9 10 10 11 10 10 9 8 8 7 7 8 9 10 9 9 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 9 10 10 9 9 9 8 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 6 1 -5 -5 0 4 6 7 7 8 8 8 8 7 7 6 6 6 5 5 5 nan
nan 8 8 8 8 8 8 8 9 10 10 10 9 8 7 6 6 6 7 8 8 8 9 9 9 9 10 10 10 9 8 7 7 7 7 7 7 6 6 6 8 9 10 10 9 9 10 11 11 11 10 10 10 9 9 9 10 10 9 9 9 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 8 7 6 7 7 7 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 4 -2 -5 -2 3 7 8 8 8 8 8 7 7 7 6 6 5 5 5 5 5 nan
nan 8 8 8 8 8 8 8 9 9 9 9 8 8 7 6 6 6 6 7 8 8 8 9 9 10 10 11 10 9 9 8 7 6 6 6 6 6 6 6 7 8 9 9 9 10 11 12 12 11 10 9 9 8 9 9 9 10 10 9 8 8 8 8 7 7 8 8 8 8 7 6 6 6 7 7 7 8 9 9 9 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 6 2 -2 -1 4 10 12 11 10 9 8 7 7 6 6 6 5 5 5 5 5 5 nan
nan 8 8 8 7 8 8 8 8 9 9 8 8 8 7 7 7 6 6 7 7 7 8 8 9 9 10 10 10 9 10 10 9 7 6 6 6 6 6 6 6 7 7 8 9 10 10 11 11 10 9 9 9 9 9 9 9 9 8 7 6 5 5 5 6 7 9 10 10 9 8 7 6 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 7 7 8 8 6 3 3 7 14 18 18 14 12 10 9 7 6 6 5 5 5 5 5 5 5 5 nan
nan 8 8 7 8 8 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 9 9 9 9 10 12 13 11 9 8 8 8 7 7 7 6 6 7 8 9 10 10 9 9 8 8 9 10 11 10 10 9 8 7 6 5 4 5 5 7 9 10 11 10 10 9 9 9 8 8 8 9 8 8 7 7 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 10 16 21 21 18 15 13 12 10 8 6 5 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 10 11 12 11 10 10 9 9 9 8 7 6 6 7 7 8 9 9 9 9 9 9 9 10 11 11 10 9 8 7 6 5 6 7 9 9 10 10 9 9 10 10 10 11 10 9 8 9 8 8 7 7 8 9 8 8 8 8 7 7 7 8 9 10 10 9 9 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 12 15 17 15 13 13 13 11 9 6 5 5 5 5 5 5 5 5 5 5 nan
nan 9 9 9 10 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 9 10 12 12 11 10 9 8 7 7 7 7 6 6 7 8 9 10 10 9 9 9 9 9 9 8 7 6 6 6 8 9 10 10 9 8 7 8 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 6 7 7 7 7 8 8 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 10 10 10 9 9 9 9 7 5 3 4 5 5 5 6 6 5 5 5 5 nan
nan 10 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 6 7 9 11 13 12 11 9 8 8 8 8 7 6 5 6 8 9 9 9 8 9 9 9 8 8 8 7 7 6 7 8 10 10 10 8 7 7 7 8 8 9 10 10 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 8 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 6 4 3 2 2 0 -2 -1 2 4 5 6 6 6 5 5 5 4 nan
nan 11 11 12 12 11 11 10 10 10 9 9 8 7 7 7 8 9 9 8 8 7 7 8 7 7 7 8 9 8 8 7 8 9 10 11 10 10 9 9 9 8 8 7 7 7 7 7 7 6 7 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 7 8 8 9 10 10 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 8 9 9 9 10 10 10 9 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 7 3 -1 -4 -5 -5 -6 -7 -3 2 4 6 6 6 5 5 4 4 4 nan
nan 10 11 11 11 11 11 11 11 10 9 7 6 5 6 7 8 9 8 8 7 6 6 6 6 6 7 9 10 10 10 9 7 7 8 9 9 9 10 10 9 9 8 8 8 7 8 7 7 7 8 9 9 9 10 10 10 10 10 9 8 7 7 8 8 8 7 7 7 7 8 9 10 10 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 7 7 7 7 8 9 9 9 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 5 2 -2 -3 -4 -3 -4 -3 1 4 5 6 5 5 4 4 4 4 4 nan
nan 9 9 10 11 11 11 11 10 9 7 6 5 5 7 7 8 9 8 7 6 6 6 6 6 7 8 10 11 12 11 9 8 7 8 9 9 9 9 9 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 8 8 8 9 9 9 9 9 10 9 9 8 8 8 9 9 8 8 7 8 7 6 5 5 5 6 6 5 5 6 6 5 5 5 4 4 4 4 4 5 nan
nan 9 9 10 10 11 11 11 10 8 6 6 7 8 8 8 9 8 8 7 7 7 8 8 8 8 9 10 11 10 9 8 7 8 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 7 6 6 7 7 7 7 7 6 6 7 7 7 8 9 11 11 11 10 9 9 9 9 10 10 11 11 11 11 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 7 7 8 10 11 12 11 8 7 6 5 5 5 4 4 4 4 4 4 5 nan
nan 9 9 10 10 10 11 11 9 5 3 5 7 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 8 7 7 6 7 7 8 7 6 5 5 5 6 6 8 9 10 10 9 8 8 8 8 9 9 10 11 11 11 11 11 11 10 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 7 7 8 9 9 8 8 9 10 11 10 7 5 4 5 5 5 5 4 4 4 4 4 5 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 2 10 16 24 28 30 33 36 39 43 46 45 43 39 36 36 34 39 48 55 56 53 53 68 113 233 461 705 787 637 426 304 237 145 69 37 38 81 168 238 295 302 260 196 147 119 87 43 13 21 40 15 15 10 10 13 16 17 17 19 29 40 45 44 41 39 39 43 47 49 49 51 53 53 56 65 73 85 105 136 157 178 260 410 659 967 1129 1133 1031 805 531 331 323 416 481 540 646 680 654 621 554 453 362 311 255 183 144 130 137 154 162 154 153 161 175 189 198 201 190 190 190 187 169 137 108 110 130 151 166 189 227
0 0 0 0 0 9 19 25 28 31 36 39 42 45 48 49 48 40 30 34 40 73 135 189 197 167 132 134 135 314 659 875 947 757 411 175 120 103 61 32 18 31 46 75 99 110 95 68 50 41 23 11 0 0 0 0 0 0 2 7 11 10 12 16 30 38 46 50 47 44 43 44 47 46 44 45 46 47 50 52 52 70 113 161 193 233 335 545 872 1117 1076 899 685 480 352 342 393 407 394 456 598 666 644 694 743 643 479 384 313 244 201 184 195 214 216 230 248 268 292 308 304 315 314 318 311 293 276 247 218 205 195 207 233 270 305
0 0 0 0 1 9 19 25 28 33 37 42 52 66 74 53 46 40 33 33 77 231 463 585 495 356 228 166 90 234 479 534 542 436 245 132 127 94 43 26 19 30 29 24 23 21 15 10 7 5 2 2 0 0 0 0 0 0 0 3 7 3 7 16 29 39 53 63 60 54 49 44 41 39 38 41 46 47 48 47 48 78 152 242 304 332 428 704 1028 1123 918 667 506 428 403 421 417 366 371 480 651 747 701 799 925 791 574 441 377 340 316 312 332 358 371 380 398 434 469 486 485 491 504 519 528 508 463 423 384 335 292 286 320 330 348
0 0 0 0 3 9 17 22 26 33 51 78 100 124 144 125 95 87 65 46 124 389 718 769 437 225 159 110 175 421 532 399 284 248 203 134 90 72 73 88 78 69 51 30 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 2 13 27 40 57 69 68 61 52 42 36 32 29 34 46 51 51 51 64 111 222 375 396 430 592 865 1044 948 684 473 401 391 364 362 314 310 357 467 652 720 655 695 817 749 576 484 468 472 498 538 573 590 586 570 572 596 639 686 682 691 724 736 750 747 732 707 623 526 437 406 412 404 413
0 0 0 0 3 9 13 16 22 41 81 128 167 230 349 479 480 378 246 150 97 162 339 384 153 66 111 207 481 734 656 419 285 259 233 186 129 128 149 161 134 97 66 34 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 23 34 46 56 58 53 46 38 30 22 19 28 42 50 51 54 77 138 258 458 448 612 777 855 808 629 438 345 326 317 299 272 237 244 286 352 453 487 461 478 533 524 475 453 472 506 570 672 770 781 731 658 621 610 613 616 653 709 765 816 841 838 831 839 788 709 640 591 569 556 549
2 0 0 0 3 8 12 14 20 50 113 180 239 323 467 624 815 726 449 228 107 57 78 105 163 325 516 573 671 625 479 376 339 315 280 239 200 187 178 156 125 89 62 33 10 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 21 30 40 45 43 38 33 22 16 17 27 40 47 47 49 73 143 225 378 575 835 851 739 592 434 313 275 271 287 285 241 232 241 253 276 304 325 327 319 330 337 350 343 351 380 432 515 632 695 639 539 499 492 498 522 569 633 714 778 816 839 869 849 823 784 759 743 738 742 752
1 0 0 0 5 9 12 16 26 60 120 178 244 286 326 319 323 314 275 209 152 179 304 401 541 794 768 573 468 390 370 371 343 299 258 232 215 201 184 152 122 85 54 29 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 21 33 38 37 33 26 16 13 18 28 37 43 43 44 70 141 215 353 554 695 670 577 482 367 260 220 229 277 257 250 273 272 263 259 250 248 243 246 244 257 262 257 255 259 262 271 285 324 358 337 334 341 351 363 388 436 500 559 627 695 783 836 826 811 823 843 843 848 857
0 1 1 1 5 15 27 32 44 83 132 177 217 171 131 115 115 155 268 449 625 696 643 530 426 350 195 215 274 316 326 303 266 238 213 199 184 165 146 119 86 53 27 12 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 27 31 28 24 16 9 9 15 25 34 39 38 38 64 121 196 311 421 428 386 382 383 308 217 188 211 235 225 240 258 253 237 220 199 207 205 206 209 216 217 212 205 195 182 177 167 166 185 206 222 235 242 240 232 256 292 319 373 443 509 572 635 688 736 756 749 739 755
0 3 3 4 6 25 55 71 76 90 100 143 151 81 62 102 152 265 533 801 778 560 344 250 158 142 164 235 269 255 220 188 167 152 128 118 99 72 50 27 13 7 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 18 21 17 11 7 4 6 14 24 30 33 29 26 45 98 166 242 283 259 230 248 271 237 181 162 165 159 164 169 159 152 154 150 142 145 143 144 149 155 159 158 151 147 154 172 179 171 170 183 198 208 211 209 201 205 214 227 243 265 280 285 313 379 425 432 450 445 418
1 4 6 6 14 36 71 91 91 87 74 134 164 117 100 148 241 470 767 774 417 243 110 105 98 135 181 195 171 129 89 61 51 53 36 15 2 1 2 2 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 1 8 10 7 4 2 2 4 9 16 19 18 14 15 27 79 143 184 187 168 154 166 181 164 141 114 97 89 89 90 92 100 103 94 94 89 85 89 96 102 108 113 117 126 143 166 192 189 175 172 179 182 181 184 178 181 188 196 204 215 220 210 205 223 250 263 278 284 271
10 21 27 17 32 67 91 99 118 145 163 251 325 270 202 255 568 729 553 390 228 193 91 80 86 85 82 73 55 34 17 6 5 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 2 3 2 1 2 3 3 4 5 6 7 6 9 23 66 112 135 133 127 134 144 138 124 104 74 59 61 71 79 72 69 67 63 65 72 80 84 85 89 93 96 100 102 107 117 127 132 131 134 139 140 138 136 138 145 153 163 181 201 207 209 215 218 240 274 301 317 332
29 43 57 41 50 87 148 243 325 374 470 586 589 426 349 399 467 404 266 207 158 130 69 47 44 32 19 11 7 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 1 2 2 3 3 4 4 1 0 1 1 7 22 46 70 87 97 107 117 123 113 98 74 53 46 47 48 50 45 39 36 40 45 52 61 67 69 71 74 75 76 73 72 75 78 82 88 99 107 109 105 101 100 102 109 119 129 137 144 154 164 183 214 262 314 360 398
33 40 58 64 74 114 248 476 604 573 680 709 648 505 427 387 317 236 193 165 143 101 36 22 14 7 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 1 2 3 4 4 3 1 1 0 0 0 1 6 16 26 36 51 73 103 107 99 86 69 49 36 32 30 24 19 21 23 22 24 25 27 30 31 35 39 40 43 45 47 48 51 55 62 71 78 81 82 81 81 82 81 80 82 84 81 80 86 91 99 129 176 241 325 389
49 65 72 90 119 181 318 490 510 444 637 667 606 468 355 281 221 180 157 138 108 79 31 13 5 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 1 1 0 0 0 0 1 2 3 3 4 5 3 0 0 0 0 0 1 5 9 14 21 27 69 105 106 89 67 47 32 24 21 19 17 18 18 17 15 14 14 14 15 13 14 17 19 22 23 24 26 28 29 34 40 48 52 56 61 61 57 55 55 54 53 48 47 49 50 57 74 102 140 178 237
99 120 135 149 168 211 280 317 301 309 570 630 534 387 278 221 185 153 132 115 75 43 19 5 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 1 4 6 1 0 0 0 1 2 3 3 4 4 1 0 0 0 0 0 1 3 6 9 15 22 62 101 96 70 47 33 23 19 17 16 15 17 16 13 11 10 10 11 10 9 10 10 10 11 12 12 12 12 13 14 16 20 26 29 30 29 28 27 26 26 27 25 24 26 31 37 45 62 94 109 120
116 121 129 135 137 151 177 155 232 286 509 604 504 337 228 196 194 191 165 127 69 29 8 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 2 3 3 4 1 0 0 0 0 2 3 3 3 2 0 0 0 0 0 0 1 3 5 7 13 29 59 73 61 41 30 25 20 16 15 13 11 10 10 9 8 8 8 8 7 7 7 6 6 7 8 7 7 5 7 7 8 10 12 14 15 16 17 15 16 14 15 14 13 14 17 18 20 34 55 51 45
79 55 40 39 46 63 87 74 157 252 425 532 463 304 191 171 195 197 148 93 47 16 3 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 0 0 0 0 0 1 2 3 3 2 0 0 0 0 0 0 1 2 2 4 7 12 25 37 41 37 32 27 22 17 14 13 9 8 7 7 6 5 4 5 5 5 6 5 4 4 4 5 5 4 3 4 4 5 6 8 10 11 12 15 12 12 12 12 11 12 14 14 15 17 22 27 24 23
63 29 8 2 4 18 45 73 151 250 374 476 427 281 178 160 189 186 129 71 31 8 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 1 2 3 2 1 0 0 0 0 0 0 1 2 3 5 9 11 21 31 35 33 28 25 20 15 13 10 8 7 6 5 4 3 3 3 3 3 3 3 3 3 3 2 3 2 2 3 3 3 4 5 6 6 7 9 8 8 9 9 9 10 13 14 14 14 15 17 17 16
49 20 7 3 3 12 42 102 195 267 364 456 437 319 210 171 176 153 92 48 19 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 0 0 0 0 0 0 0 1 2 2 2 1 1 0 0 0 0 0 0 0 1 4 6 9 10 16 25 30 29 26 21 17 14 12 10 8 7 6 4 3 3 2 2 2 2 2 2 2 2 2 1 1 0 0 1 1 2 2 2 3 3 5 6 5 5 6 6 6 5 8 11 11 11 12 13 13 13
13 6 3 1 3 12 41 101 185 285 423 526 510 384 245 176 155 116 65 35 16 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 1 3 3 1 0 0 0 0 0 0 0 0 0 2 4 7 8 10 13 18 24 25 23 18 14 12 11 10 8 6 6 4 2 2 2 1 0 1 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 0 1 1 2 2 2 2 2 2 3 5 8 9 9 9 10 11
2 2 1 1 2 6 33 86 183 328 489 568 506 350 210 157 121 87 58 34 15 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 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 10 12 19 21 21 18 14 12 10 8 6 6 5 3 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 2 4 4 4 5 4
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0 1 1 1 1 27 100 174 197 161 99 46 13 9 22 30 22 14 10 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 6 7 6 7 7 7 6 4 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
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0 0 0 6 26 62 80 78 56 29 14 10 3 2 1 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 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 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
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