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 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 7 7 7 7 7 7 7 8 9 9 10 11 12 12 12 11 12 12 12 13 12 12 11 11 11 11 11 11 10 9 8 8 7 5 3 3 3 4 4 5 7 10 13 15 15 14 13 12 12 10 9 9 12 15 13 6 -1 -5 -4 0 3 5 5 5 5 4 3 2 2 1 2 5 8 9 8 4 1 -0 2 7 10 10 11 12 11 9 8 10 12 10 6 5 5 6 7 6 3 3 7 10 10 8 9 10 9 8 7 7 8 8 5 2 0 1 3 5 6 7 10 11 9 6 4 3 2 2 1 2 5 8 8 6 5 5 6 5 1 -2 0 6 10 12 13 13 13 14 15 15 12 10 9 8 8 7 6 5 nan
nan 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 7 7 7 7 7 7 8 9 10 11 12 12 12 12 12 12 12 13 13 13 12 11 11 11 11 11 11 10 8 6 5 4 3 2 2 3 5 9 13 18 22 23 22 21 20 18 16 14 12 9 8 10 11 8 1 -4 -5 -2 1 4 5 5 5 5 5 4 4 4 4 3 4 6 8 8 6 3 0 1 4 8 11 12 11 10 8 10 13 14 11 9 8 7 5 4 4 3 4 7 10 10 8 8 8 7 6 6 6 6 5 2 -0 0 3 4 4 5 7 12 13 11 6 3 2 2 2 2 3 6 10 10 8 5 5 5 4 -0 -3 0 6 10 12 13 12 11 10 10 8 6 6 6 6 6 6 5 4 nan
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nan 15 15 15 16 16 16 17 18 21 22 20 18 17 16 12 9 6 4 4 7 9 11 12 12 9 7 6 7 8 11 12 10 9 8 10 13 13 11 10 10 8 5 2 -1 -0 2 7 11 12 8 3 2 3 5 7 9 8 6 3 3 4 6 8 9 11 13 14 12 10 12 13 11 8 5 6 10 13 12 10 9 10 12 14 15 15 14 13 12 11 10 10 12 14 15 14 12 8 5 4 4 4 2 1 2 4 7 11 16 16 12 10 10 13 17 19 19 18 17 15 14 16 20 23 20 11 3 -2 -1 2 8 13 19 23 23 20 14 7 0 -3 -5 -4 -1 3 5 3 3 5 7 5 4 5 6 5 2 2 10 18 20 17 11 8 8 10 12 14 13 10 9 9 10 11 11 11 11 10 9 8 7 8 8 8 8 7 6 6 6 7 7 8 nan
nan 11 13 14 14 15 16 17 19 22 23 21 18 16 15 13 10 6 4 4 6 10 12 13 12 10 7 6 7 9 10 11 10 8 7 8 10 11 12 11 10 8 5 3 3 3 3 4 7 8 6 3 2 3 4 4 4 6 7 7 7 7 6 6 6 9 13 14 12 8 10 13 13 11 6 5 8 10 8 6 6 8 10 12 15 16 16 15 13 11 11 11 13 14 13 11 8 8 11 12 11 8 3 -1 -1 2 6 8 10 10 8 9 12 17 21 20 17 16 16 18 20 23 23 20 13 3 -2 1 5 9 11 11 12 14 16 18 17 14 10 7 2 -2 -5 -4 -1 0 2 4 5 4 4 7 9 8 6 4 7 11 11 10 8 7 8 9 10 9 8 7 7 8 9 9 10 10 11 10 9 8 7 7 8 8 7 6 6 6 7 7 7 8 nan
nan 10 12 13 13 13 14 16 18 21 23 21 17 15 13 11 9 7 6 6 8 12 14 14 13 11 8 7 8 8 8 8 9 10 10 10 10 10 10 11 10 9 8 8 9 9 6 4 4 5 7 8 9 8 6 3 2 3 7 10 10 8 7 6 6 9 13 14 11 7 7 11 13 11 7 6 7 7 5 5 7 8 9 10 12 15 18 18 16 13 12 12 12 13 11 8 6 9 15 17 15 10 4 -1 -3 1 6 9 9 7 5 7 12 18 21 16 10 8 9 13 18 23 23 17 7 -1 1 10 17 17 12 5 -1 -1 4 11 16 18 16 12 8 4 -1 -4 -3 0 3 4 5 6 6 8 10 11 11 9 8 8 7 7 7 7 8 9 8 6 5 5 6 7 8 9 10 10 10 9 8 7 7 7 7 7 6 6 6 7 7 7 7 8 nan
nan 12 14 14 13 12 13 14 16 19 21 20 16 13 11 9 8 7 7 8 10 12 14 14 13 11 7 6 8 9 8 7 8 10 12 13 12 11 10 11 11 11 11 11 12 11 9 6 5 6 9 12 15 14 9 3 -0 1 4 7 7 7 7 7 8 8 10 10 8 7 7 9 11 10 9 7 6 5 5 6 8 10 9 8 9 12 16 18 18 16 15 14 14 13 13 11 10 13 17 19 16 10 5 0 -1 2 8 11 10 7 5 8 15 21 21 13 4 0 -0 3 9 17 22 21 14 8 11 22 27 22 12 1 -8 -9 -4 3 9 12 13 11 9 7 4 1 -0 3 5 6 6 6 6 5 7 11 13 13 11 10 8 8 7 8 11 11 8 6 5 5 6 7 8 9 10 10 9 8 8 7 7 7 7 6 6 6 6 7 7 7 7 8 nan
nan 14 15 15 12 10 10 11 13 16 18 17 14 11 9 7 6 6 8 10 11 12 13 13 11 9 7 5 7 9 9 9 8 9 11 13 13 13 12 11 11 10 10 9 8 8 7 6 5 6 9 13 16 15 10 3 -1 0 3 4 5 5 7 8 8 6 6 6 6 7 8 9 10 9 8 7 6 5 4 5 7 8 8 7 7 9 13 16 18 19 20 19 19 17 16 14 14 16 18 18 15 10 5 2 2 4 8 11 11 10 9 12 19 24 22 12 3 -1 -4 -3 0 7 16 22 21 18 20 25 28 23 14 5 -2 -4 -2 2 4 6 8 9 9 8 7 5 4 5 5 5 5 4 2 1 4 9 13 15 14 12 10 9 10 12 14 14 11 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 nan
nan 14 15 13 9 7 7 10 13 15 17 16 12 8 6 5 5 6 8 12 13 12 11 11 9 8 6 5 5 7 8 10 10 10 12 13 14 14 13 12 11 10 8 7 5 4 3 3 4 5 8 11 13 13 10 4 1 1 3 5 6 7 8 8 8 6 4 5 6 8 9 10 9 8 6 5 4 3 1 1 3 5 7 7 6 6 9 12 15 19 23 25 25 22 18 16 15 17 17 16 13 9 3 1 2 4 5 8 11 12 14 16 21 23 20 12 6 2 -1 -2 -2 0 6 14 18 19 18 18 19 19 17 14 11 9 8 8 7 7 8 9 11 11 10 9 8 7 6 4 3 1 -0 0 5 10 13 15 16 14 12 12 14 16 17 16 14 12 10 9 9 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 13 13 9 6 5 7 11 14 17 17 14 10 5 3 3 5 7 10 13 14 13 11 9 8 7 6 6 5 6 7 9 11 12 13 15 16 16 15 13 11 10 8 6 3 1 -0 1 4 7 9 9 9 9 9 7 4 3 4 6 7 8 8 8 8 7 6 6 7 9 10 10 9 7 5 3 2 1 -0 -0 1 5 8 9 8 6 6 9 12 17 22 26 27 26 22 20 20 20 19 17 14 11 6 3 3 4 4 6 11 15 17 18 17 15 12 9 7 5 3 1 -1 -2 -0 4 10 12 12 9 7 8 14 17 18 17 17 16 14 12 12 14 16 15 12 11 10 9 7 6 5 3 2 2 7 12 13 14 15 15 15 17 18 18 17 17 17 15 14 13 12 11 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 nan
nan 12 10 6 4 5 9 13 16 17 16 12 7 3 3 5 8 10 12 13 14 13 11 9 8 7 6 5 5 5 6 8 9 11 13 16 17 17 16 13 11 9 8 5 2 -1 -1 2 6 9 10 10 8 7 7 7 6 6 7 8 8 7 5 5 6 8 10 10 10 10 11 11 10 7 5 4 5 5 5 5 6 8 10 10 9 8 7 8 10 13 17 22 24 25 24 23 23 21 20 19 17 16 13 9 6 4 3 5 11 17 19 17 12 7 4 4 6 7 7 4 1 -0 -1 -1 2 5 5 3 -0 0 6 12 14 15 19 20 18 16 16 17 18 15 12 11 11 10 9 8 8 7 5 5 8 11 12 13 14 17 19 22 21 19 17 17 17 18 17 17 15 13 11 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 nan
nan 10 7 5 4 6 10 13 15 16 13 8 4 5 7 10 11 12 12 12 13 13 12 10 8 6 5 4 3 3 4 5 6 9 11 14 17 18 18 14 10 8 6 3 1 -0 0 3 7 9 10 9 7 4 4 4 6 8 9 11 11 8 6 4 5 8 11 13 13 13 13 12 10 7 5 6 8 11 12 12 13 12 11 10 9 9 9 9 9 11 13 16 19 20 20 20 20 19 19 19 19 19 18 13 7 2 -0 2 9 17 20 16 9 4 2 3 6 9 11 9 5 3 1 -0 -1 1 1 1 0 -0 2 3 4 7 13 16 16 14 12 11 11 10 11 13 14 12 10 9 9 9 8 8 8 9 10 10 12 15 19 24 23 19 17 16 17 18 19 19 18 16 14 12 10 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 nan
nan 8 6 5 6 8 11 13 13 12 9 6 6 9 12 13 13 12 11 11 11 12 12 11 9 6 4 3 4 4 5 5 6 7 8 11 14 17 19 16 12 8 6 4 3 3 4 5 8 9 9 7 5 3 2 3 6 7 8 10 11 12 10 8 6 7 10 13 15 15 14 12 9 6 5 7 9 11 12 12 13 12 10 9 9 10 10 9 9 9 11 14 15 16 14 14 15 16 16 16 17 18 17 12 6 0 -2 -0 6 14 16 12 8 6 4 5 8 11 14 14 10 8 6 5 3 2 3 4 5 5 4 1 -1 1 4 7 7 6 4 2 1 2 7 13 15 14 12 10 9 9 9 9 8 8 8 9 9 11 14 19 21 19 17 16 17 18 19 21 20 19 16 14 12 10 8 8 8 9 9 9 9 9 10 10 11 10 10 9 10 10 nan
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nan 6 5 7 10 12 12 10 7 4 6 11 14 13 11 9 8 8 10 10 8 6 5 5 6 9 10 10 10 9 10 11 10 8 6 4 5 6 8 12 16 21 22 21 20 21 22 24 22 20 17 15 14 14 15 14 12 10 7 6 6 7 9 12 12 11 11 11 11 12 11 11 9 6 4 2 1 2 4 4 4 2 2 4 8 12 14 15 16 15 15 14 11 7 6 7 8 9 9 7 8 13 17 19 17 14 11 9 9 10 8 6 5 6 7 9 12 14 15 15 15 15 15 15 16 17 20 23 23 21 18 15 13 11 10 9 7 5 2 2 4 7 11 15 17 17 17 16 16 17 17 16 13 10 7 7 10 11 8 4 5 9 14 18 20 21 23 23 22 22 21 21 20 17 13 10 9 10 11 11 11 11 11 12 12 12 11 11 10 10 nan
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nan 3 2 4 8 11 13 12 10 8 7 9 10 9 8 6 6 7 7 8 8 8 7 7 9 11 12 15 16 15 13 11 8 6 6 6 7 7 7 6 6 7 9 12 14 16 14 11 9 10 10 11 10 9 9 9 9 9 9 9 9 10 12 13 13 11 10 9 8 8 8 6 5 5 4 3 2 2 3 5 8 8 8 8 9 11 15 17 19 19 16 11 7 5 5 7 10 13 16 18 18 17 15 12 9 6 4 4 8 13 17 19 20 21 22 24 24 23 18 14 11 10 9 8 8 8 9 12 16 18 17 15 12 11 10 9 7 7 10 14 17 19 19 18 14 10 7 8 9 10 11 12 12 11 8 7 7 7 8 9 10 13 17 21 25 26 25 24 23 22 21 21 23 23 20 16 13 12 12 12 12 12 11 11 10 10 9 9 9 9 nan
nan 3 4 7 12 16 18 17 14 10 7 7 8 8 6 5 6 7 9 11 10 9 8 8 10 13 16 18 19 19 16 13 10 7 6 6 7 7 6 6 5 5 6 9 11 12 10 7 5 6 8 9 9 7 6 7 9 11 11 11 12 13 13 13 11 8 7 6 6 8 8 8 7 7 7 7 6 5 5 5 7 9 9 10 10 12 14 16 17 16 13 9 6 4 4 6 9 12 18 23 23 19 16 11 7 4 2 3 9 15 20 24 25 25 25 25 23 18 10 6 6 7 7 6 5 3 4 6 10 14 17 16 14 12 10 8 8 12 17 22 22 20 18 15 12 8 4 3 3 4 4 6 7 8 8 7 7 8 10 11 12 14 16 20 23 24 23 22 21 20 20 21 23 25 23 19 16 13 12 12 12 11 11 10 10 9 9 9 9 9 nan
nan 5 7 12 17 21 22 20 16 9 5 4 5 6 6 6 7 9 12 13 11 8 7 7 9 12 14 16 18 19 19 17 13 10 7 6 6 6 5 6 6 7 8 9 9 10 9 7 6 6 8 9 9 8 7 9 12 14 15 15 15 15 14 12 9 6 4 3 4 6 9 10 10 8 8 7 7 7 6 6 8 10 11 11 12 12 13 14 14 12 10 7 5 4 4 5 7 10 13 16 17 17 15 12 7 4 2 3 8 14 17 19 18 16 15 14 12 7 0 -3 0 4 5 5 4 3 3 4 7 11 16 18 17 15 13 11 12 15 19 22 21 17 14 12 10 8 5 4 4 4 3 2 3 5 7 7 7 7 8 9 11 13 15 18 20 20 20 19 17 17 18 19 22 24 23 21 18 15 12 12 12 11 11 10 10 10 10 10 10 10 nan
nan 9 11 14 17 20 20 18 14 8 3 2 3 5 6 8 9 10 11 11 10 7 5 5 7 9 10 12 14 17 19 19 17 15 11 7 5 5 5 5 7 9 10 10 10 9 8 8 7 7 8 10 11 11 11 13 15 17 17 17 15 15 15 14 11 8 4 2 2 4 7 11 12 9 7 6 6 7 7 8 10 12 12 12 13 13 13 13 12 10 8 6 5 5 7 9 11 12 9 8 9 11 12 10 7 5 4 6 8 10 11 10 8 5 3 4 4 2 -3 -7 -5 -0 3 4 3 3 4 5 8 11 16 18 18 16 13 12 12 13 15 15 14 11 9 7 7 9 10 11 11 10 6 3 2 5 7 7 6 4 4 6 9 12 15 17 18 18 17 16 15 14 15 17 20 22 22 21 19 16 13 12 12 12 11 11 11 11 11 11 11 10 nan
nan 14 14 14 14 15 14 13 11 8 6 4 5 6 8 9 10 10 9 9 8 6 5 5 6 7 8 9 11 13 15 17 19 18 15 11 7 5 4 5 8 11 13 13 12 11 9 9 8 9 10 12 14 15 14 14 15 15 15 14 13 12 13 14 15 13 10 5 2 2 5 10 13 12 9 7 6 7 8 10 13 14 13 12 12 12 12 12 10 8 6 6 7 11 16 20 22 19 13 9 9 9 9 8 7 7 7 9 10 10 8 6 4 1 1 3 4 2 -2 -6 -6 -2 1 2 3 5 7 9 11 13 15 16 15 13 11 10 9 8 8 8 8 8 6 5 6 9 12 15 15 12 8 4 4 5 7 6 4 0 -1 2 7 11 14 16 17 17 16 14 13 12 13 15 17 19 21 20 19 17 15 13 13 13 12 12 12 12 12 11 10 9 nan
nan 15 13 12 11 11 11 11 11 11 11 11 10 10 11 11 11 10 9 8 8 7 6 6 6 7 7 8 8 9 10 13 16 19 20 18 13 9 6 7 8 11 15 16 16 14 12 10 9 10 12 15 18 18 16 14 12 11 11 11 10 9 9 11 14 16 15 12 7 3 3 7 12 14 13 11 9 8 9 11 13 13 12 10 10 11 11 11 10 8 7 8 11 17 25 31 31 26 19 16 14 11 10 10 11 12 12 12 12 12 10 8 6 5 6 6 4 2 -1 -3 -4 -2 0 2 4 6 9 11 11 11 12 12 12 12 10 8 6 5 5 5 6 6 6 5 6 9 12 15 14 10 6 4 5 5 5 4 2 -1 -2 2 6 10 12 14 15 15 14 13 11 11 13 15 16 17 18 19 19 18 16 15 14 13 13 12 12 12 12 10 9 7 nan
nan 12 9 7 8 10 11 12 13 14 14 14 14 13 13 12 12 11 10 9 8 8 8 7 8 8 8 8 8 7 8 9 12 17 22 24 21 16 11 9 10 12 15 17 18 17 15 13 12 13 15 17 19 19 16 12 9 8 8 8 7 6 6 7 10 14 17 17 15 8 4 5 9 13 14 12 10 9 9 11 12 11 10 9 8 9 10 10 10 8 7 7 12 19 27 32 30 25 21 16 13 11 11 12 15 17 17 14 13 13 13 11 9 8 8 6 2 0 -0 -0 0 1 2 3 5 6 8 9 9 8 8 9 11 13 13 12 9 8 7 7 7 6 6 5 7 10 13 15 13 8 5 5 5 4 2 1 0 0 2 5 6 8 9 11 13 13 13 12 11 11 13 14 15 15 15 16 17 17 16 15 14 13 12 12 12 12 10 9 7 6 nan
nan 11 7 6 7 9 11 13 14 14 14 13 13 13 12 10 10 10 10 9 8 8 8 8 8 9 9 10 9 8 7 8 10 13 19 24 24 20 16 12 12 13 14 17 19 20 19 18 17 16 16 16 16 15 14 11 9 9 8 8 7 5 5 5 7 10 15 17 18 13 7 5 6 8 9 9 8 7 8 10 10 9 9 8 8 9 9 9 8 7 6 7 11 17 22 24 21 18 15 11 9 9 10 13 16 18 16 13 12 13 13 13 11 8 6 4 2 2 3 5 6 5 4 4 5 5 6 6 6 6 7 8 11 15 17 18 17 14 12 9 7 5 5 6 9 12 14 14 11 8 7 8 7 3 -1 -2 -1 1 5 7 6 6 7 8 10 12 12 12 11 11 12 13 13 12 13 14 15 15 14 13 12 11 11 11 11 10 9 8 7 6 nan
nan 11 8 7 7 9 11 12 13 13 13 12 11 10 10 8 8 8 9 8 8 8 7 7 7 8 8 9 9 9 8 8 9 11 15 19 21 19 16 13 11 11 13 16 19 21 20 19 18 17 15 13 13 12 11 11 10 9 9 8 6 4 4 5 7 9 12 14 16 15 10 6 5 5 5 5 5 5 6 8 9 9 9 10 9 9 9 8 7 4 4 7 12 15 17 17 16 13 11 8 6 6 8 11 14 16 14 12 10 11 12 13 11 8 6 5 5 6 9 11 11 9 5 4 4 4 5 5 5 6 7 8 10 13 17 19 19 16 12 8 5 5 7 10 12 13 13 10 8 7 9 10 9 6 2 -0 -1 2 6 7 8 7 7 8 8 9 11 11 11 11 12 12 12 11 11 11 12 12 11 11 10 9 9 9 9 9 8 7 7 7 nan
nan 12 10 7 6 7 9 11 12 13 12 11 10 9 8 7 7 7 7 7 8 8 8 7 6 6 7 8 8 9 9 9 10 11 13 15 17 15 12 10 8 9 12 15 19 19 17 15 14 14 13 13 12 12 11 10 9 9 8 7 5 3 3 5 7 10 11 13 14 13 10 7 5 4 4 5 5 6 6 8 10 11 11 11 11 9 8 7 5 3 3 7 13 16 15 15 17 16 12 8 5 4 6 9 12 14 14 12 10 8 8 8 8 7 7 7 8 10 12 13 13 9 5 3 4 4 5 5 5 6 7 9 10 12 14 15 15 13 9 5 3 6 10 14 15 14 10 6 4 5 8 11 13 12 9 5 3 4 7 9 11 11 10 9 8 8 10 11 11 11 12 12 12 12 11 11 11 10 10 9 8 8 8 8 8 8 7 7 7 8 nan
nan 10 9 7 6 6 7 9 10 10 11 10 9 7 6 6 6 6 6 7 9 11 10 8 6 6 8 9 9 10 10 11 12 12 13 14 13 11 9 7 7 9 12 15 17 16 12 9 9 10 12 13 13 13 12 12 11 9 7 6 4 2 3 5 8 10 12 13 14 12 10 7 5 6 7 8 9 9 9 10 12 13 14 13 11 9 7 6 4 3 5 9 14 16 15 16 18 17 13 9 6 4 5 7 10 13 13 12 9 6 4 4 4 6 7 8 9 11 12 13 12 8 5 4 4 5 6 6 6 6 7 8 9 11 12 12 12 10 6 3 3 8 12 15 14 9 4 1 2 6 9 12 15 16 13 8 5 5 8 11 14 14 13 11 10 10 10 11 11 12 12 13 13 12 11 11 10 9 9 8 8 8 8 8 8 7 7 7 7 8 nan
nan 9 9 9 7 6 6 6 7 8 8 8 7 5 4 4 4 6 6 8 11 14 14 11 9 9 11 13 12 12 12 12 13 13 13 12 11 10 8 8 9 11 13 15 14 13 10 7 6 7 10 13 14 15 15 14 13 12 8 5 3 2 2 4 6 9 11 13 13 11 9 7 6 7 9 10 11 11 11 12 13 14 15 14 12 9 6 4 3 4 7 11 13 14 14 16 17 15 13 10 8 6 5 6 9 11 12 11 9 6 4 4 5 7 8 9 9 10 11 12 11 9 8 7 7 7 7 7 6 6 7 8 9 10 11 11 9 7 4 3 5 9 13 13 10 4 -1 -2 1 6 11 15 16 15 12 7 4 6 9 12 15 16 15 13 11 11 12 12 12 12 12 12 12 12 12 11 10 9 8 8 8 9 9 8 8 7 7 7 7 8 nan
nan 8 11 13 12 7 5 4 5 6 6 4 3 2 2 2 4 6 7 10 13 15 16 15 13 12 14 14 14 13 13 13 13 13 10 9 9 9 10 10 11 12 14 15 14 13 11 9 6 6 7 11 14 15 16 16 16 15 12 8 5 4 3 3 5 7 8 10 10 9 8 7 7 7 8 9 10 10 11 12 13 14 14 13 12 10 7 5 4 5 9 11 12 11 12 15 16 15 14 12 10 7 5 5 7 10 11 10 9 7 6 7 8 9 10 10 10 10 10 11 12 12 11 11 11 10 10 9 8 7 7 8 9 10 11 10 8 6 4 5 7 11 12 11 8 4 1 1 2 6 10 15 16 14 9 5 4 6 9 13 15 17 15 13 12 12 13 13 13 12 12 12 12 12 12 12 11 10 10 10 10 10 9 8 8 7 7 7 7 7 nan
nan 9 12 15 14 9 5 4 4 5 5 3 1 1 2 3 5 6 8 10 12 15 17 18 16 15 14 13 13 13 13 13 12 10 8 6 7 10 12 13 13 14 14 14 14 14 14 13 9 6 5 8 11 13 14 16 16 16 15 12 10 8 6 5 4 5 5 5 5 6 6 7 7 7 7 7 7 8 9 9 10 10 10 11 11 11 8 7 6 7 10 12 12 10 10 13 15 16 16 14 11 8 6 6 7 8 9 9 8 8 8 10 11 11 11 11 10 11 11 12 12 13 14 14 14 14 13 11 9 8 8 9 10 11 11 10 8 6 6 8 10 12 12 11 8 6 6 5 6 8 11 14 14 11 7 5 5 7 10 13 15 16 16 14 14 14 15 15 14 13 13 13 14 14 14 14 13 13 12 12 11 10 9 8 7 7 7 7 7 7 nan
nan 10 12 12 12 10 8 7 7 7 7 5 4 3 4 6 7 7 8 9 11 13 16 17 17 14 11 10 11 12 12 12 11 9 7 6 7 10 13 15 15 14 13 11 12 15 16 15 12 8 4 4 6 8 10 13 15 16 17 16 14 12 9 7 5 3 2 2 2 3 4 6 7 7 7 6 6 7 7 7 7 6 6 7 8 8 8 7 7 8 10 12 12 10 8 10 14 16 17 16 12 8 7 8 9 8 8 7 6 6 8 10 11 12 12 12 12 13 13 12 12 12 13 14 14 15 14 12 11 10 11 12 12 12 12 11 9 8 9 10 11 12 12 11 9 7 7 8 9 11 13 14 12 9 6 6 8 10 13 15 16 16 16 15 15 15 16 16 15 15 15 16 17 17 16 16 14 13 12 11 10 9 8 7 7 7 7 7 7 7 nan
nan 11 10 10 10 11 11 11 10 9 10 10 10 9 9 9 9 9 9 10 11 11 13 15 14 12 7 6 7 8 10 10 9 8 7 6 8 10 14 16 16 15 11 9 10 13 16 16 14 10 6 3 3 5 8 10 13 15 16 17 15 14 11 8 5 3 1 1 2 2 3 3 5 7 8 7 7 6 7 6 5 4 4 4 4 4 5 5 6 8 9 11 11 9 8 9 14 18 19 17 12 9 8 9 10 9 7 4 3 3 5 8 9 11 12 13 14 15 15 13 11 10 10 10 11 12 13 12 12 12 13 14 15 15 14 14 12 11 11 11 11 11 11 10 8 7 6 7 10 13 14 14 12 9 9 9 11 13 16 17 17 17 16 15 15 15 15 16 16 17 17 18 19 18 17 15 14 12 11 10 9 8 7 7 7 7 7 7 6 6 nan
nan 9 9 9 10 13 14 14 12 11 11 12 13 13 13 12 12 11 12 12 10 9 9 11 12 10 6 4 5 7 8 9 9 8 7 7 7 9 12 15 16 15 11 7 8 11 14 16 15 12 8 5 4 5 7 10 12 13 14 14 14 13 11 8 6 3 1 1 2 2 1 1 3 6 9 9 7 5 5 5 4 4 4 4 4 3 3 4 5 7 7 8 9 8 8 11 15 20 21 18 12 8 8 10 11 10 7 3 0 0 2 5 7 9 11 12 14 15 15 14 12 10 8 8 9 10 11 11 12 13 14 14 15 16 16 16 15 13 12 11 11 11 11 10 8 6 5 6 8 12 14 14 13 12 11 12 14 15 17 18 18 18 17 16 15 15 15 15 16 17 17 18 18 17 16 14 13 11 10 9 8 8 7 7 7 7 6 6 6 6 nan
nan 6 7 8 9 12 14 14 12 10 10 12 14 15 15 15 14 14 14 12 10 7 7 7 9 8 6 5 6 8 9 9 8 7 6 6 7 8 10 13 15 14 11 8 7 9 11 13 13 11 8 5 4 5 7 9 11 12 12 13 12 11 10 8 6 4 3 2 2 1 1 1 3 7 10 10 7 4 3 4 4 5 5 5 6 6 6 5 5 5 5 6 7 8 9 12 16 20 21 17 12 8 9 12 13 13 9 4 2 2 3 4 5 7 9 10 11 13 14 13 12 11 9 8 8 9 10 11 11 11 11 11 11 12 13 13 13 13 12 11 11 12 11 10 8 6 5 5 6 9 11 11 11 12 12 13 15 17 17 17 18 18 18 16 15 14 14 14 15 15 15 15 15 14 14 13 12 10 9 8 8 8 7 7 7 7 6 6 6 6 nan
nan 6 6 6 7 9 12 12 10 8 8 10 13 14 16 16 16 15 14 11 9 7 6 6 6 7 6 5 6 8 9 9 8 7 7 7 7 8 9 11 13 14 13 10 9 8 9 9 10 9 7 5 4 4 5 8 10 11 12 12 11 10 9 8 7 6 6 5 4 2 2 3 5 9 12 10 7 3 2 3 5 7 7 7 8 8 8 7 5 4 4 4 5 7 9 12 14 17 17 15 11 9 11 13 15 15 13 9 7 6 5 4 4 6 7 8 9 10 12 13 12 11 9 9 10 11 11 11 10 9 8 7 7 7 8 8 9 10 11 12 13 13 13 11 8 7 6 6 6 6 6 6 7 9 11 14 17 18 17 16 17 17 17 15 14 13 13 13 13 13 12 12 12 13 13 12 11 10 9 8 8 8 8 7 7 6 6 6 6 6 nan
nan 9 8 6 6 7 9 9 8 6 7 8 11 12 14 15 16 15 13 11 8 6 5 4 4 5 5 5 6 6 7 7 7 8 9 10 10 9 8 8 10 13 14 13 11 9 8 7 7 8 8 6 5 4 4 6 9 11 11 10 9 8 8 8 8 8 9 8 7 5 5 6 8 11 13 11 8 5 4 5 8 9 10 9 9 10 10 9 6 4 3 3 4 6 8 11 13 14 14 12 11 10 10 11 12 13 13 11 10 9 6 4 4 5 7 8 9 10 12 12 11 10 9 10 12 14 14 12 10 8 7 6 5 5 6 6 7 8 10 13 14 15 14 12 10 9 8 7 5 3 2 3 4 7 9 13 16 17 16 15 15 15 14 13 13 12 11 11 11 11 11 11 12 13 13 12 11 10 9 9 9 8 8 7 7 6 6 6 6 6 nan
nan 13 12 9 8 8 8 9 8 7 7 8 9 11 13 14 15 14 13 10 8 5 5 4 5 5 6 6 5 5 5 6 7 10 13 14 13 10 6 4 4 9 13 13 13 12 10 9 10 11 12 11 8 6 5 5 8 10 10 8 6 5 5 6 8 10 11 11 9 8 8 9 11 13 14 13 11 11 10 11 12 13 12 12 12 13 13 12 9 5 3 4 4 6 8 11 13 14 14 13 13 12 10 9 8 9 9 9 9 8 6 4 4 5 7 8 9 10 11 11 10 9 8 10 14 17 17 16 14 11 8 7 7 7 7 7 7 9 11 13 15 16 15 13 12 11 10 8 3 -2 -2 1 4 8 9 10 11 13 14 14 13 13 12 11 10 10 9 9 10 10 11 12 12 12 12 11 10 10 10 10 9 8 8 7 7 6 6 6 7 7 nan
nan 16 15 13 11 11 11 10 9 8 8 9 9 10 12 14 15 14 11 9 7 5 5 6 8 9 9 9 8 7 6 7 9 13 17 18 17 11 5 1 0 4 9 12 13 14 14 15 16 18 18 16 12 8 6 4 5 7 6 5 3 3 3 5 7 10 12 12 12 12 12 14 15 16 17 16 16 17 17 16 16 16 15 15 16 17 18 16 13 9 7 6 6 7 8 10 13 15 16 17 17 15 13 10 7 7 8 8 7 6 5 5 6 7 8 9 11 12 12 11 10 9 9 11 14 17 18 18 17 14 11 9 8 8 7 7 7 8 9 11 14 15 15 14 13 12 11 8 1 -3 -3 1 6 11 11 10 11 12 14 14 13 11 10 9 9 8 8 8 9 11 12 12 12 11 11 11 11 10 10 10 9 9 8 8 7 7 7 7 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 2 2 3 5 7 10 11 12 12 12 12 12 13 13 13 12 11 12 12 14 15 13 11 7 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 62 99 43 13 22 35 31 37 86 189 315 414 474 530 620 694 722 660 696 803 935 1062 1161 1227 1349 1546 1715 1841 1991 2157 2285 2319 2242 2076 1873
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 2 3 5 7 10 11 11 11 11 12 12 12 13 12 12 11 12 13 14 15 13 10 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32 53 37 22 30 41 42 66 166 326 477 563 578 587 658 714 690 653 782 962 1121 1248 1352 1452 1600 1787 1942 2095 2239 2334 2339 2238 2058 1841 1629
2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 2 3 5 8 11 12 12 12 12 11 12 12 12 12 12 12 12 14 15 14 12 8 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 16 19 24 36 47 56 114 262 447 580 647 660 689 787 831 755 764 908 1071 1232 1393 1546 1691 1850 2023 2182 2319 2406 2399 2283 2084 1849 1614 1404
3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 4 6 9 11 12 12 12 12 12 12 12 12 12 12 11 12 14 14 12 12 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 27 42 57 87 182 363 517 583 637 615 631 786 860 787 870 1002 1153 1316 1507 1706 1892 2066 2239 2390 2485 2494 2384 2166 1899 1635 1398 1195
3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 3 4 6 9 11 12 12 12 12 12 12 12 12 12 11 11 13 14 12 11 12 7 2 0 0 0 0 0 0 0 0 0 0 2 13 25 16 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 0 0 0 0 0 0 3 13 30 50 74 127 242 413 474 475 546 541 575 703 743 684 834 1038 1234 1415 1625 1849 2054 2235 2400 2525 2579 2516 2313 2016 1705 1430 1204 1025
4 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 4 5 8 11 12 12 12 12 12 12 12 12 11 12 13 13 12 12 11 9 4 2 0 0 0 0 0 0 0 0 0 0 14 90 162 118 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 0 0 0 0 0 0 0 0 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 31 49 91 170 279 422 368 351 461 512 570 645 660 640 756 1025 1292 1512 1736 1966 2176 2354 2500 2596 2612 2485 2206 1854 1521 1255 1055 898
4 4 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 6 8 11 12 12 12 12 12 12 12 12 12 12 13 12 11 11 9 4 1 0 0 0 0 0 0 0 0 0 0 0 19 161 342 279 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 16 27 87 194 297 373 265 324 525 643 620 537 464 468 652 982 1301 1558 1807 2045 2261 2436 2559 2625 2606 2410 2069 1693 1366 1115 924 785
5 4 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 3 3 4 6 9 11 12 12 12 12 12 12 12 12 11 11 11 12 10 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 10 104 345 272 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 2 8 76 187 261 254 228 387 608 705 649 531 439 439 596 918 1272 1547 1831 2082 2313 2488 2588 2619 2552 2309 1931 1558 1249 1016 836 715
6 4 3 3 2 2 2 2 1 2 1 1 1 1 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 4 6 9 11 12 12 12 12 12 12 12 12 12 12 11 9 10 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 4 47 307 208 42 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 84 172 195 188 277 434 590 681 694 542 350 315 511 844 1220 1518 1836 2101 2337 2500 2573 2571 2477 2207 1823 1451 1154 923 757 664
6 5 4 3 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 4 5 7 9 11 12 12 12 12 12 11 12 12 11 11 10 9 10 8 3 1 0 0 0 0 0 0 0 0 0 0 2 16 56 137 358 234 79 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 17 105 151 136 152 278 405 511 539 503 406 272 254 447 797 1204 1532 1849 2118 2336 2487 2554 2535 2404 2104 1715 1353 1069 848 699 629
7 5 4 4 3 2 2 2 2 1 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 7 9 11 12 12 12 12 12 12 11 12 11 10 9 9 8 5 1 0 0 0 0 0 0 0 0 0 0 0 20 143 356 518 516 275 84 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 11 41 128 136 108 137 239 350 434 507 526 375 185 147 361 772 1228 1598 1880 2141 2331 2473 2543 2503 2315 1978 1591 1247 987 798 671 614
7 5 4 4 3 2 2 2 2 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 6 8 11 12 12 12 12 12 12 11 11 10 9 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 50 388 813 966 698 253 53 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 27 57 121 111 85 119 227 357 448 442 275 118 47 72 329 816 1329 1671 1933 2179 2348 2470 2517 2433 2194 1842 1475 1172 951 782 663 604
6 5 4 3 2 2 2 1 2 1 2 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 4 6 8 10 11 12 12 11 11 11 11 11 9 9 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 43 424 916 1060 736 255 42 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 43 75 106 147 115 69 109 241 363 346 160 44 11 4 19 276 843 1436 1752 2000 2226 2380 2472 2480 2356 2093 1752 1423 1157 947 785 666 599
7 5 3 2 2 2 1 1 2 1 2 1 1 1 1 0 1 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 6 5 5 6 9 10 12 12 12 12 12 12 11 10 9 9 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 3 55 563 747 797 600 279 74 10 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 0 0 0 0 0 0 0 0 0 0 0 0 17 61 155 310 455 443 256 96 101 209 260 167 19 1 0 0 19 363 971 1528 1836 2061 2266 2408 2478 2453 2303 2039 1722 1420 1158 945 800 674 600
6 4 3 2 1 1 1 1 1 1 2 1 1 1 0 1 1 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 7 5 6 7 9 11 12 12 12 12 12 11 10 10 9 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 119 756 596 692 536 288 111 30 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 57 111 131 177 297 350 222 95 98 162 144 54 1 0 0 0 32 464 1104 1626 1920 2114 2295 2437 2502 2457 2290 2032 1739 1456 1201 995 831 696 610
4 3 2 2 1 1 1 1 1 1 1 1 1 1 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 2 3 4 7 6 6 8 10 10 11 12 12 12 11 11 10 10 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 155 581 495 577 449 248 103 29 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 78 280 525 640 539 326 151 91 110 148 97 19 0 0 0 5 72 589 1244 1732 2000 2168 2326 2464 2540 2486 2317 2068 1793 1525 1277 1055 855 711 625
3 2 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 7 8 8 10 10 10 11 12 12 12 12 11 10 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 100 283 298 259 226 120 40 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 71 273 451 449 318 255 247 188 138 115 56 9 1 0 1 10 176 737 1373 1816 2061 2215 2347 2465 2563 2515 2354 2122 1863 1601 1347 1106 886 729 639
2 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 5 7 9 9 10 10 10 11 12 12 12 12 12 11 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 38 99 116 91 68 27 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 53 82 70 42 89 223 313 209 99 31 5 0 0 3 37 297 891 1482 1871 2101 2252 2370 2474 2567 2529 2381 2171 1928 1671 1414 1165 941 773 672
2 1 0 1 1 1 1 1 1 1 1 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 0 0 1 1 3 5 6 8 9 10 10 10 10 11 12 12 12 12 11 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 27 18 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 3 30 132 324 250 89 20 2 0 0 12 97 437 1046 1550 1881 2108 2271 2397 2505 2579 2557 2426 2233 2001 1748 1491 1243 1020 832 684
1 1 1 1 1 1 1 1 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 1 1 2 4 6 6 7 9 10 10 10 11 11 12 12 11 12 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 121 299 179 46 8 0 0 3 44 207 598 1157 1541 1839 2087 2287 2443 2563 2640 2638 2527 2335 2094 1830 1565 1314 1087 886 714
1 1 1 1 1 1 1 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 1 2 3 5 6 7 7 10 10 10 10 11 11 12 12 12 11 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 104 210 90 10 1 0 0 10 86 314 730 1195 1505 1798 2077 2316 2500 2631 2710 2712 2605 2397 2142 1869 1602 1357 1137 939 760
1 1 1 1 1 1 1 1 1 1 1 1 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 2 4 5 6 7 8 10 10 10 10 11 11 12 12 11 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 46 76 33 1 0 0 0 27 156 448 854 1188 1419 1728 2028 2281 2462 2578 2634 2603 2456 2244 2022 1792 1564 1355 1166 992 832
1 1 1 1 1 1 1 1 1 1 1 0 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 1 3 5 6 7 7 8 9 10 10 10 11 12 12 12 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 5 0 0 0 0 31 189 495 859 1148 1347 1593 1833 2010 2108 2146 2144 2100 1997 1860 1736 1600 1448 1302 1164 1029 901
1 1 1 1 1 1 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 1 2 3 5 6 7 7 8 9 9 10 10 12 13 13 12 10 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 29 213 539 857 1053 1181 1350 1472 1538 1553 1526 1489 1470 1475 1457 1433 1388 1309 1226 1140 1043 942
1 1 1 1 1 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 1 2 3 5 6 7 8 8 10 10 10 10 12 13 13 12 10 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 170 443 700 840 909 1000 1037 1068 1081 1053 1036 1073 1147 1202 1240 1245 1212 1165 1105 1029 942
1 1 1 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 1 3 4 5 6 7 8 8 10 9 10 11 12 14 14 12 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 175 418 599 670 677 683 689 733 784 795 821 899 1008 1106 1176 1190 1172 1137 1084 1015 935
1 1 1 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 1 2 4 5 6 7 7 8 9 10 8 9 11 13 14 15 12 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 31 149 329 453 495 492 493 511 567 627 695 761 862 995 1113 1185 1198 1180 1146 1096 1031 955
1 1 1 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 2 3 5 6 6 7 8 9 9 9 8 10 11 13 14 14 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 63 196 336 402 406 397 406 432 490 584 685 804 936 1069 1176 1232 1242 1224 1190 1142 1078 1000
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