Vorticity
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nan 5 6 6 7 13 19 19 13 7 5 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 8 10 10 9 8 7 6 5 5 5 4 4 4 4 3 3 3 2 3 4 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 2 1 0 0 1 1 1 1 1 1 1 1 1 2 3 4 4 3 2 2 3 3 3 4 6 9 14 21 25 23 18 12 9 8 10 11 9 6 nan
nan 6 5 5 7 14 20 19 13 8 5 5 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 8 9 9 10 10 9 7 6 5 4 4 4 3 3 3 3 3 2 2 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 1 1 0 0 1 2 2 3 3 3 3 3 3 3 3 3 4 4 3 2 2 2 3 3 3 5 8 12 18 23 24 20 14 10 11 13 12 8 6 nan
nan 7 6 5 7 13 20 20 14 8 6 5 4 3 2 2 3 3 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 7 6 4 3 3 3 3 2 2 3 3 3 3 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 0 -0 -0 0 0 0 0 0 0 1 2 3 3 4 4 5 5 6 6 5 4 3 4 3 3 2 2 2 3 3 4 6 10 15 20 24 22 17 15 18 19 15 9 6 nan
nan 9 7 5 6 11 19 20 14 8 6 6 5 3 3 3 3 3 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 7 6 7 8 8 7 5 4 3 2 2 2 2 3 3 3 3 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 -1 -1 -1 -0 0 0 0 1 2 2 3 4 5 5 5 5 6 7 8 7 5 4 4 4 3 3 2 2 2 3 3 4 7 11 17 22 22 20 21 24 25 20 12 9 nan
nan 9 7 5 4 9 18 21 15 9 6 6 5 5 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 6 5 6 7 8 7 5 4 2 2 2 2 3 3 3 3 3 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 -1 -1 -1 -0 0 1 1 2 2 4 5 7 8 8 7 7 6 7 9 8 6 4 4 4 4 3 2 2 2 2 3 3 5 8 13 17 20 21 23 26 26 21 16 12 nan
nan 9 7 5 3 8 18 23 17 9 6 6 6 6 6 6 5 5 5 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 6 7 8 8 6 5 5 6 7 7 6 4 3 2 2 3 3 3 4 4 4 4 5 5 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 2 1 0 -0 -1 -0 0 0 1 1 2 3 4 6 9 10 9 8 7 7 7 7 7 5 4 4 4 4 3 3 2 2 2 3 3 3 5 8 12 17 21 23 24 22 18 15 13 nan
nan 8 6 4 3 8 18 23 19 11 7 7 7 7 6 6 6 6 6 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 5 5 5 4 4 4 3 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 6 7 7 7 6 5 5 6 7 8 7 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 2 2 1 1 0 0 1 1 2 2 3 4 5 7 9 9 7 6 6 6 6 6 6 5 4 4 4 4 3 3 2 2 2 3 2 2 3 4 8 12 16 18 17 15 13 11 10 nan
nan 7 5 3 4 9 17 21 18 13 9 8 7 7 6 5 5 6 6 6 7 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 4 3 3 4 3 4 4 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 6 6 6 7 7 6 5 6 6 7 8 8 7 6 6 5 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 1 2 2 3 4 5 6 8 9 8 5 4 5 6 6 6 7 6 5 4 3 3 3 3 2 2 3 3 3 2 2 3 4 7 9 10 9 8 7 7 6 nan
nan 6 4 3 5 9 14 16 15 13 12 11 10 7 5 4 4 5 5 7 8 7 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 5 7 6 5 4 3 4 3 4 4 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 7 8 8 7 7 7 7 6 6 5 5 4 4 4 5 4 4 4 3 3 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 2 1 1 2 2 3 4 6 8 9 10 9 7 5 4 5 6 6 7 9 8 6 4 3 3 3 3 2 2 3 3 3 2 2 2 2 4 5 5 5 4 4 4 3 nan
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nan 5 4 3 4 6 8 8 8 10 17 21 17 8 4 3 4 5 5 6 7 7 5 4 3 3 3 4 4 3 3 3 3 3 4 4 4 4 5 5 6 6 6 5 5 5 5 5 4 4 5 5 5 4 4 4 6 8 8 7 5 4 3 3 4 4 5 6 6 6 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 5 6 7 7 7 7 8 8 8 6 4 4 4 4 4 5 5 5 4 4 3 3 2 3 3 3 4 4 3 3 3 2 2 2 2 2 2 3 3 4 4 4 3 3 2 2 2 2 3 4 6 8 11 14 15 14 10 8 6 5 5 5 7 9 10 9 6 4 3 3 3 3 3 3 3 3 4 4 3 3 2 3 3 4 4 4 4 4 4 nan
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nan 11 12 12 13 13 13 14 13 13 13 13 14 14 14 12 10 9 10 11 12 11 11 11 11 10 9 9 10 10 10 10 9 9 10 11 11 10 10 10 9 8 7 7 8 8 8 8 9 8 8 8 7 6 6 5 5 5 5 6 7 8 8 8 8 9 11 10 9 9 8 8 8 8 8 7 7 7 6 7 6 6 6 7 7 8 9 9 8 8 8 8 8 7 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 6 5 5 5 6 6 6 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 8 9 9 10 10 9 8 8 7 7 6 6 6 5 5 5 6 9 14 18 19 18 16 15 14 14 14 14 14 14 14 14 13 nan
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nan 12 11 11 12 12 12 12 12 13 13 13 14 15 15 14 13 12 12 12 12 13 13 13 13 12 11 11 11 11 10 10 10 9 9 10 10 10 9 8 8 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 7 6 6 7 9 9 9 8 8 8 7 6 6 6 7 7 8 8 8 7 6 6 7 8 8 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 9 8 8 7 7 6 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 7 8 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 6 6 5 4 4 5 6 10 15 18 20 19 18 17 17 18 17 16 15 14 13 nan
nan 12 12 12 12 12 12 12 13 13 14 14 14 14 14 15 15 15 14 14 14 14 14 14 14 14 13 12 12 12 12 12 11 10 10 10 11 12 11 10 9 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 6 6 7 9 10 9 7 6 7 8 8 8 7 7 7 7 6 6 6 6 7 8 8 8 8 8 7 8 8 8 7 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 9 8 8 8 9 9 9 8 8 8 8 7 6 6 6 6 6 5 7 10 14 18 19 19 20 21 21 21 20 16 14 13 nan
nan 12 12 12 12 12 13 13 13 14 14 15 14 14 15 15 15 15 15 15 15 15 14 14 14 14 13 12 12 12 12 12 11 10 10 11 12 12 11 11 10 8 7 7 7 7 8 9 8 8 8 7 8 8 8 7 7 6 7 8 9 11 10 7 5 6 8 8 7 7 8 8 7 7 6 6 5 7 8 8 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 9 8 8 8 8 8 8 9 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 9 10 10 10 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 8 8 7 6 7 9 12 14 15 16 18 21 23 22 18 15 13 nan
nan 11 12 12 12 12 12 12 12 13 14 14 15 15 15 15 15 14 14 15 15 15 14 13 13 13 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 9 6 4 5 6 7 8 8 9 9 8 8 7 6 6 7 8 8 9 10 10 9 9 9 8 7 7 7 7 7 6 6 5 5 6 7 7 7 7 7 6 7 7 8 8 7 6 6 6 7 8 10 10 10 9 10 10 10 10 10 9 9 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 9 9 9 8 9 9 10 11 11 11 10 10 10 9 9 8 7 8 10 10 8 7 6 6 7 8 9 10 12 16 20 22 21 18 15 nan
nan 11 11 11 11 11 11 11 11 11 12 13 14 15 15 14 13 11 12 13 14 14 12 11 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 5 3 4 6 7 8 9 9 9 9 9 8 7 6 7 8 8 9 9 9 9 9 9 9 8 8 8 7 7 6 5 5 5 6 6 6 7 7 7 6 6 7 9 9 9 8 7 6 7 7 8 8 8 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 10 11 12 11 11 11 10 10 10 9 9 9 10 10 9 8 7 6 6 6 7 7 8 11 16 21 23 22 19 nan
nan 11 11 10 10 10 10 9 9 10 11 12 13 14 13 13 12 11 11 12 13 12 11 9 9 9 10 9 9 8 8 7 8 7 7 6 6 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 8 8 8 8 7 4 4 5 7 8 9 9 9 9 9 9 9 7 6 6 7 8 8 9 9 9 10 10 9 8 8 8 8 8 7 6 6 5 5 5 6 7 8 8 8 8 8 9 9 9 9 8 7 6 5 5 5 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 7 7 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 9 10 12 12 12 11 11 10 9 9 9 10 10 9 9 8 8 7 6 6 7 7 7 9 12 17 21 24 23 nan
nan 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 13 13 13 13 13 12 11 10 10 10 10 9 9 8 8 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 9 9 9 7 5 6 8 9 10 10 9 9 10 10 9 8 7 6 5 6 7 8 9 10 10 10 10 9 9 8 8 8 9 8 7 7 6 5 5 5 7 8 9 10 11 10 9 9 10 10 10 9 7 5 4 4 6 7 8 8 9 9 9 8 8 9 9 9 9 9 9 8 9 9 11 12 12 12 11 10 10 9 9 8 8 8 9 9 10 9 9 9 9 8 8 8 8 8 8 9 10 11 12 12 11 10 9 9 10 10 10 9 9 9 8 7 6 6 7 7 7 8 9 12 16 21 24 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 14 16 16 15 14 13 13 12 11 10 10 10 9 9 8 8 8 7 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 9 9 8 8 7 7 8 9 10 10 10 9 8 7 9 11 12 11 10 9 9 10 10 9 8 7 6 5 5 6 7 9 10 11 10 9 9 9 8 8 9 9 9 9 8 7 7 7 7 8 9 11 11 11 10 9 9 9 10 10 9 8 7 5 6 7 7 8 8 9 9 9 8 7 7 8 8 9 9 9 9 9 10 11 12 13 13 13 12 12 12 11 9 8 7 8 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 9 10 10 10 10 10 10 11 10 10 9 9 9 8 7 7 7 7 7 7 7 8 10 15 20 nan
nan 8 8 8 8 8 9 9 10 10 9 8 8 8 9 11 14 16 17 16 15 14 12 11 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 9 9 9 9 10 11 12 12 11 10 10 9 9 11 12 12 11 10 9 10 11 10 9 9 8 7 5 4 5 6 7 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 11 11 12 11 11 11 10 9 8 8 7 8 8 9 9 8 7 7 8 8 8 8 9 9 8 7 6 6 6 7 8 9 9 9 9 9 9 10 11 12 12 13 14 14 12 10 9 8 8 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 7 6 6 7 9 12 nan
nan 7 7 7 7 8 9 10 11 11 11 9 8 8 8 10 13 15 17 16 15 13 11 10 9 10 11 11 11 11 11 11 12 12 11 11 11 11 12 12 11 11 12 12 13 12 11 9 8 8 9 9 9 9 10 11 12 13 13 12 11 10 9 10 11 11 11 10 9 8 9 9 9 8 8 8 7 5 4 4 5 6 7 8 8 8 9 9 8 8 9 9 9 9 10 11 12 12 12 12 11 10 10 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 8 9 9 9 8 7 8 9 10 11 12 13 14 13 13 12 10 9 9 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 8 9 10 11 12 12 11 11 10 10 9 8 8 8 8 8 7 6 6 6 6 6 6 7 nan
nan 7 8 8 8 8 8 9 11 12 12 10 8 7 8 9 11 13 16 17 16 14 11 10 10 10 10 10 10 10 11 12 13 14 13 12 12 13 13 13 12 12 12 12 12 12 11 10 9 9 8 8 9 9 10 11 12 12 13 12 11 10 10 10 10 9 9 8 8 7 7 8 7 7 6 7 6 5 5 5 5 6 6 7 7 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 7 7 6 5 5 5 6 8 8 9 9 9 9 9 9 9 7 6 5 5 5 5 6 7 8 8 8 8 8 8 8 9 9 10 11 12 12 13 14 14 13 11 10 10 10 10 10 9 9 8 8 8 9 9 9 8 7 7 7 9 10 10 11 11 11 11 11 10 9 7 7 7 8 8 8 7 7 6 6 5 5 6 nan
nan 8 8 8 8 8 8 8 9 11 12 11 8 7 8 9 10 12 14 16 16 14 12 11 12 11 10 9 9 9 10 11 12 13 13 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 8 9 9 10 10 11 11 11 10 10 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 7 5 4 4 5 6 7 8 9 9 10 10 10 10 10 9 7 5 5 5 6 7 8 8 8 7 7 8 9 9 9 8 8 8 9 9 11 13 14 14 13 11 11 10 10 10 10 9 8 8 8 9 10 9 8 7 7 7 8 9 9 9 10 10 11 11 11 10 9 8 8 9 9 9 8 8 7 7 6 5 6 nan
nan 9 9 9 9 9 8 8 8 10 11 9 7 7 8 9 10 11 12 14 14 13 13 13 13 13 11 9 9 9 10 10 10 11 11 11 11 10 10 11 10 10 9 9 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 9 10 11 11 10 9 8 8 8 9 10 10 9 8 7 8 8 9 9 9 8 7 6 6 6 6 7 7 7 7 6 5 5 6 6 7 8 8 9 9 10 10 11 12 11 9 7 6 6 6 7 8 8 8 7 8 9 10 10 9 8 7 7 7 7 9 10 12 13 13 13 12 11 10 9 9 9 9 9 9 10 10 11 10 8 8 8 9 9 8 7 8 9 10 11 11 11 11 10 10 10 9 9 8 8 9 8 7 6 6 nan
nan 9 9 9 9 8 8 7 7 8 9 8 7 7 8 9 10 10 11 12 13 13 14 14 14 13 11 10 9 9 10 10 9 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 12 13 13 12 10 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 8 7 7 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 13 11 9 8 7 7 7 6 7 7 8 8 9 10 9 8 8 7 6 6 6 7 8 10 12 13 14 13 11 10 9 8 8 9 10 10 10 11 12 12 10 9 9 9 9 8 7 7 8 8 9 10 11 11 11 11 10 10 9 8 8 9 9 8 7 6 nan
nan 8 7 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 10 11 12 13 13 13 13 12 12 12 11 11 12 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 13 12 11 10 9 9 9 9 9 9 9 8 7 7 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 7 7 7 6 6 6 6 7 8 9 10 12 13 13 12 10 9 7 6 5 5 6 7 8 8 8 8 8 8 7 6 6 6 7 8 9 10 12 13 13 12 11 9 8 7 8 10 11 10 10 11 11 11 10 9 9 9 8 8 8 8 8 9 9 9 10 11 11 10 10 10 9 9 9 9 9 8 6 nan
nan 6 6 6 6 7 7 6 6 6 6 6 7 7 8 8 9 10 10 10 11 11 11 11 11 12 14 15 14 14 14 14 12 11 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 14 13 12 12 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 11 12 13 13 13 12 11 10 9 8 8 7 7 6 5 4 5 5 6 7 8 9 11 12 13 13 11 9 8 6 5 5 5 5 6 6 6 6 6 7 6 6 7 8 9 9 9 9 10 10 10 11 11 11 10 8 8 9 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 9 9 9 9 8 7 nan
nan 6 6 5 6 6 6 5 5 5 6 7 7 8 8 8 9 10 10 10 10 10 9 9 9 12 15 16 16 15 15 14 13 13 13 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 11 11 10 10 10 10 11 12 13 14 14 13 13 12 11 11 11 12 13 13 13 13 13 13 13 12 12 12 12 10 10 10 10 11 11 12 13 13 12 12 11 11 11 12 12 13 13 12 11 10 10 10 11 10 9 8 9 8 6 4 4 5 6 7 8 9 10 11 13 13 12 10 8 7 6 5 4 4 4 5 4 4 5 5 5 6 7 8 8 8 7 8 8 7 7 9 11 12 12 10 9 9 10 10 10 8 7 7 7 7 7 8 9 9 9 9 10 11 11 12 12 11 10 10 10 10 10 9 9 9 9 9 8 nan
nan 5 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 9 10 10 10 9 8 8 11 13 14 14 14 13 12 12 14 15 15 14 14 13 13 13 13 12 12 11 10 10 9 9 8 8 7 8 8 9 8 8 7 7 7 9 11 12 13 14 13 13 12 12 13 14 15 15 15 15 15 14 14 14 13 13 12 11 11 11 11 11 12 12 14 15 14 13 12 12 12 12 12 13 12 11 10 9 10 11 12 12 11 11 12 12 9 6 4 4 6 7 8 9 9 10 13 14 13 11 10 9 8 6 4 4 4 4 4 4 4 4 5 6 7 7 7 6 6 7 6 5 6 8 10 12 12 11 10 10 11 11 10 8 7 6 6 7 6 7 8 9 9 8 9 10 11 12 13 12 11 10 10 10 10 9 9 9 9 9 9 nan
nan 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 10 12 13 12 12 11 10 10 12 13 14 14 13 13 12 12 12 11 10 9 8 8 7 7 6 6 6 6 7 7 7 6 6 6 7 8 9 10 12 12 13 13 14 14 15 16 16 16 16 16 16 15 15 15 15 14 13 12 12 12 12 12 12 13 13 14 14 13 12 12 12 12 12 12 13 13 12 12 12 12 13 13 13 13 14 15 13 10 7 6 6 8 8 8 9 9 11 13 13 13 12 12 11 8 6 6 5 5 4 4 4 4 5 6 8 8 8 7 7 7 5 5 6 7 9 10 10 11 11 11 12 13 11 9 8 8 7 7 6 6 7 7 7 7 8 9 10 11 12 12 12 11 11 10 10 10 9 9 9 9 9 nan
nan 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 9 9 10 12 13 13 11 9 8 8 9 11 12 12 11 10 10 10 9 9 8 7 7 7 7 6 5 6 6 7 7 7 7 7 7 7 8 8 9 10 10 11 11 12 13 14 15 15 15 16 16 16 15 15 15 16 16 15 13 12 12 12 12 12 12 13 14 14 13 12 12 11 11 10 10 11 12 14 15 14 14 13 13 13 13 13 13 15 16 15 13 10 9 8 8 7 7 8 9 10 11 12 13 14 14 12 9 8 7 6 5 5 5 5 6 7 9 9 9 7 7 6 6 5 6 6 7 7 8 9 10 12 13 13 11 10 10 10 9 8 6 6 6 6 6 5 6 7 9 10 11 11 12 12 12 11 11 11 10 10 9 9 9 nan
nan 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 11 13 14 13 11 9 7 7 7 8 9 10 9 9 8 8 8 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 12 12 12 12 14 14 13 13 14 16 17 16 14 13 13 13 12 12 12 13 14 14 13 13 11 10 10 9 9 10 12 13 14 13 13 13 13 12 12 11 11 13 15 16 16 14 12 10 9 8 7 8 8 8 9 10 12 14 15 13 11 9 8 7 6 5 6 5 5 6 6 6 6 6 7 7 6 6 6 5 4 5 6 7 8 11 13 13 12 12 12 12 11 10 9 8 8 7 6 5 5 6 7 8 9 9 11 12 12 12 11 11 12 11 10 10 9 nan
nan 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 9 8 7 7 8 10 11 14 15 13 11 9 7 6 6 7 8 9 10 9 8 8 8 7 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 7 6 7 7 7 7 8 9 10 9 9 11 14 16 16 15 14 13 12 12 12 12 13 13 14 14 14 12 11 9 9 9 11 12 12 11 11 11 11 10 10 9 9 9 11 13 14 15 14 12 10 10 10 10 9 9 9 9 9 10 12 13 13 13 12 11 9 8 8 7 7 5 4 3 2 3 5 7 8 8 7 6 5 3 3 4 6 7 9 11 12 13 12 13 13 13 12 11 11 11 11 9 8 6 6 5 6 6 7 9 10 11 11 11 11 12 12 12 11 9 nan
nan 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 9 8 8 7 8 10 11 13 15 13 11 10 8 7 6 6 8 9 10 9 8 8 8 7 6 6 6 7 8 9 10 10 10 10 9 9 9 8 7 8 9 10 10 9 8 8 7 6 5 4 3 3 3 4 5 6 7 7 9 11 13 14 14 13 12 12 11 12 12 12 13 14 16 16 13 11 9 9 10 11 12 11 9 9 9 9 9 8 8 10 11 12 13 13 14 13 12 10 10 11 11 11 10 10 10 9 9 10 11 13 13 14 14 14 13 12 12 11 10 8 5 3 3 5 7 8 8 8 6 4 3 3 4 5 6 8 9 10 11 12 12 13 13 13 13 12 13 13 13 11 10 8 7 5 5 6 8 9 10 10 10 10 11 12 12 12 10 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 10 11 12 13 13 12 11 9 8 7 7 8 9 9 9 8 8 8 7 7 7 7 8 9 10 11 11 10 10 10 10 9 8 8 9 10 10 10 9 8 8 7 7 6 4 3 1 1 2 3 4 5 6 8 9 10 11 11 11 11 11 11 12 12 12 12 14 16 16 13 10 8 8 9 11 11 10 9 9 9 9 9 10 11 13 13 13 12 11 12 13 12 11 10 10 10 11 10 10 10 10 9 9 9 10 11 12 13 14 14 14 15 14 14 14 12 10 8 7 7 8 9 8 6 5 4 4 5 5 6 6 7 7 8 9 10 11 11 12 12 13 13 13 13 13 12 12 11 8 7 7 7 8 9 9 9 9 10 11 12 12 10 nan
nan 9 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 11 10 9 9 9 8 8 8 7 6 5 3 2 1 2 4 5 7 8 8 8 8 8 9 9 10 11 11 11 10 12 14 15 14 12 9 7 7 8 10 10 10 10 10 10 10 11 12 13 13 12 11 10 10 11 12 12 11 10 9 10 10 10 10 9 9 9 9 9 9 10 10 11 10 10 12 13 14 15 16 16 15 13 11 9 9 9 8 7 7 7 7 7 6 6 5 5 4 4 4 6 8 9 11 11 12 12 12 12 12 13 14 13 12 10 9 8 8 8 8 8 8 9 10 11 11 10 nan
nan 8 8 7 8 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 10 10 9 9 9 9 8 7 5 4 3 3 3 5 7 8 9 8 7 7 7 8 9 10 10 8 9 11 13 14 12 10 8 6 7 8 9 10 10 10 11 11 12 12 13 12 11 10 10 10 10 11 12 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 8 9 10 11 13 14 15 16 15 13 12 10 9 8 7 8 9 9 9 8 6 5 4 2 2 1 2 4 7 9 10 11 11 11 11 11 12 13 13 12 12 10 9 9 9 9 9 8 8 9 10 10 11 nan
nan 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 8 9 9 10 10 10 10 10 11 11 12 12 12 13 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 10 10 9 9 9 9 8 8 7 5 4 3 3 5 7 8 9 9 8 7 7 7 8 9 8 8 8 10 12 12 10 8 7 7 8 9 10 10 10 11 11 11 11 12 12 11 10 10 11 11 12 12 12 12 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 11 12 12 13 14 13 12 11 10 8 8 8 8 9 9 7 6 5 4 3 2 2 2 3 5 7 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 9 9 10 11 nan
nan 11 11 12 12 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 8 9 9 9 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 4 3 4 6 8 9 9 9 9 7 7 8 8 8 8 8 9 10 10 9 8 8 8 9 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 12 12 12 12 11 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 8 7 6 5 5 5 5 5 5 5 5 5 7 7 8 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 nan
nan 12 12 12 12 11 11 11 11 10 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 9 10 10 11 11 12 12 11 10 10 9 8 8 9 11 11 10 9 8 8 9 10 10 10 9 9 9 9 8 9 9 9 8 9 8 8 8 8 8 8 7 7 7 7 7 7 5 4 4 6 7 9 10 10 10 8 7 7 8 8 8 8 8 9 8 8 8 8 9 10 10 9 9 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 10 9 9 9 9 8 9 9 10 11 11 10 10 10 10 10 10 10 10 9 9 8 9 9 8 8 8 8 8 10 11 12 12 11 10 9 8 7 7 7 7 7 8 8 7 6 6 6 6 7 8 8 9 10 10 10 10 10 11 11 11 10 10 10 9 10 10 10 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
CAPE
1 1 1 3 25 70 247 672 1120 1300 1296 1258 1175 1110 1018 794 594 369 239 313 363 409 412 366 356 316 240 184 151 122 95 67 48 41 35 28 16 4 2 1 1 1 0 0 0 1 2 2 4 6 5 5 11 16 14 8 9 12 19 26 33 38 41 40 39 33 30 36 42 44 44 43 42 43 40 40 42 41 41 43 39 34 30 28 26 24 25 24 23 19 13 11 10 9 15 28 41 50 63 79 90 104 154 213 211 159 116 100 96 90 88 89 87 78 66 61 62 60 58 60 56 52 46 39 39 41 44 42 42 43 39 36 31 25 20 16 12 11 10 8 7 6 4 2 1 1 0 0 1 3 6 18 28 40 43 40 39 39 45 50 51 54 57 57 56 53 48 42 38 39 36 35 40 60 122 230 349 441 385 210 138 146 107 31 17 16 23
3 1 3 3 25 74 273 692 1062 1217 1276 1271 1161 1055 926 719 517 327 295 413 468 442 434 405 350 304 257 205 156 113 86 66 44 39 31 23 17 8 7 2 1 0 0 0 0 1 2 3 6 5 4 9 15 15 10 8 11 19 29 34 37 39 39 38 38 36 34 40 46 47 48 49 50 52 49 48 49 49 49 50 48 45 42 37 31 29 28 27 27 25 19 15 15 15 18 29 44 58 73 84 101 151 257 286 202 139 105 95 96 99 101 100 96 87 76 67 60 52 53 57 55 52 46 39 40 44 45 46 45 44 41 35 28 22 18 10 10 9 7 4 3 2 1 1 1 0 0 0 2 8 15 26 32 45 54 62 65 65 67 69 67 59 55 53 50 45 41 34 35 33 31 32 39 52 80 161 337 497 408 180 105 136 124 52 33 28 28
7 1 8 13 44 100 240 597 950 1128 1222 1244 1125 967 847 717 574 444 393 546 656 593 509 438 366 353 350 276 169 108 92 70 45 38 31 26 22 19 11 3 0 0 0 1 1 2 3 5 6 5 6 12 15 11 8 10 16 27 34 36 36 37 35 34 36 39 37 41 47 47 50 51 53 54 53 52 51 51 52 53 53 52 51 48 43 37 32 30 28 27 22 17 15 16 20 28 43 62 79 92 117 206 355 294 195 140 106 101 103 106 108 103 96 89 78 64 51 44 44 47 49 46 41 38 42 45 46 47 47 45 39 33 26 20 16 11 10 7 3 2 3 4 5 6 7 5 3 3 8 16 21 27 25 44 47 53 57 60 73 86 91 76 64 49 45 39 33 31 31 29 28 30 34 40 60 115 258 457 444 201 144 172 171 120 73 44 36
8 4 13 18 52 126 262 552 895 1105 1187 1187 1072 894 776 636 419 359 471 624 794 803 692 618 456 381 377 301 192 136 102 65 46 41 34 31 25 20 7 2 0 0 0 1 2 2 2 3 4 4 8 15 14 8 8 14 24 33 35 34 33 33 32 33 36 40 40 41 44 46 48 49 50 51 51 51 50 50 51 52 54 56 57 55 51 47 42 35 31 29 24 19 16 17 20 26 38 57 73 87 115 189 298 250 182 130 111 115 119 115 105 96 91 86 72 54 45 43 42 44 44 41 37 37 41 44 45 46 46 45 38 33 27 21 15 11 9 4 2 2 5 9 12 14 14 17 15 13 19 25 25 28 30 41 40 36 37 45 57 75 88 74 72 54 43 35 29 28 27 25 24 26 30 36 50 90 219 474 566 407 306 273 254 197 110 56 47
8 14 25 30 66 154 275 504 819 1090 1246 1226 1031 793 618 461 285 327 451 566 791 950 840 768 571 429 347 262 193 145 107 62 49 43 35 30 25 21 10 3 0 0 1 2 2 2 4 5 4 5 10 15 10 8 10 21 29 34 33 31 31 32 33 36 40 42 42 42 43 44 45 45 46 47 47 48 48 48 47 47 50 54 56 53 51 50 48 44 38 32 25 20 18 17 19 23 31 48 61 70 91 138 216 241 218 186 160 141 128 112 90 83 83 80 62 49 44 43 43 44 44 41 37 37 39 42 44 43 43 43 37 32 28 21 14 11 8 3 0 2 8 13 17 19 22 26 27 27 30 35 38 41 49 52 42 29 22 22 29 50 60 54 64 58 43 33 27 25 24 21 20 23 26 28 35 45 104 360 529 544 503 449 344 196 102 83 83
15 28 46 56 88 187 274 430 713 994 1204 1174 902 634 462 314 212 228 353 492 645 889 925 843 629 447 335 254 192 140 99 67 52 43 37 32 26 21 12 4 0 1 2 3 2 3 4 5 4 5 13 18 9 10 13 31 41 45 41 35 34 34 36 39 42 43 43 44 46 43 42 42 43 43 43 43 44 44 43 43 45 49 51 51 50 51 51 49 44 37 29 23 19 18 19 23 30 43 51 57 67 90 135 194 241 231 189 155 135 117 89 75 70 70 58 48 44 43 43 43 43 39 35 35 37 39 41 40 39 38 35 31 28 20 13 10 7 2 0 2 9 15 18 22 25 28 31 33 35 40 47 56 68 71 58 39 21 12 11 28 41 40 43 51 44 33 26 21 19 17 16 19 23 19 22 27 61 188 315 427 488 569 527 297 228 208 184
28 46 71 89 108 214 280 387 682 969 1157 1119 882 637 442 307 297 329 482 525 567 719 823 798 629 449 332 261 203 147 102 72 54 43 36 33 27 22 15 4 1 0 1 2 3 5 6 5 4 6 15 17 13 11 17 32 42 46 46 43 37 34 36 40 39 40 42 43 44 41 41 41 40 40 40 39 39 38 37 36 38 43 46 46 48 52 54 54 50 43 36 28 21 19 20 25 32 41 49 54 53 59 79 119 212 271 251 195 140 115 90 71 61 62 56 50 46 43 42 42 41 37 33 33 34 36 37 36 34 34 33 29 25 19 14 10 5 1 0 2 9 15 18 21 25 28 30 32 36 43 50 61 74 83 78 48 21 6 4 16 30 30 23 31 37 34 26 17 12 13 11 13 19 14 17 24 42 79 149 259 383 621 843 637 488 406 301
48 72 94 112 117 229 292 403 731 966 1073 1069 953 765 575 508 619 796 838 763 733 735 758 720 590 438 337 279 222 158 107 80 57 44 35 32 27 22 15 4 0 1 3 3 3 5 5 4 7 12 17 17 15 13 23 41 49 48 50 50 41 33 33 37 36 37 39 38 40 39 40 40 39 38 39 39 37 35 31 27 30 38 41 43 46 53 58 59 55 49 42 33 24 20 21 25 32 39 46 53 48 43 50 71 158 288 341 262 146 103 82 60 56 54 51 47 45 43 41 40 40 36 32 31 31 32 34 33 32 30 31 29 22 17 13 9 4 0 0 2 11 15 21 23 25 30 33 33 35 41 47 54 65 76 70 39 16 4 2 7 21 28 25 29 35 36 27 12 4 10 8 10 12 11 13 18 28 44 78 139 227 377 570 573 527 439 258
74 98 115 128 130 229 297 507 796 1009 1147 1192 1105 898 683 648 862 1148 1159 1103 1094 883 789 734 610 454 355 300 239 167 112 85 58 43 38 31 26 21 10 3 0 1 2 3 4 5 5 4 9 15 19 20 16 13 23 47 58 58 59 57 47 35 32 35 38 40 36 35 38 38 40 40 38 38 39 38 36 32 26 24 25 33 38 45 48 56 63 64 61 55 46 37 27 21 21 24 33 39 47 50 45 38 39 61 137 258 330 266 134 99 83 59 49 48 45 43 43 42 41 40 39 33 29 28 29 30 32 32 30 27 29 26 19 14 13 9 4 0 0 4 13 16 20 24 29 32 34 34 35 39 43 48 56 71 75 55 20 4 2 2 12 26 36 40 36 35 28 13 1 5 4 5 7 10 11 11 16 26 42 70 103 147 174 180 199 116 84
100 121 135 143 171 244 319 536 786 1000 1194 1274 1153 886 653 642 852 1081 1226 1335 1572 1046 802 725 623 481 380 314 241 167 116 87 59 45 39 32 26 19 7 1 1 2 2 3 5 6 5 8 14 17 20 20 15 12 17 42 59 61 64 64 53 42 39 39 42 41 34 33 34 36 38 40 38 37 36 35 32 27 25 23 23 25 33 42 50 59 66 69 66 59 51 41 32 26 23 26 36 43 49 48 46 46 55 84 151 258 347 316 136 109 83 63 51 45 41 40 42 42 41 39 33 26 26 26 27 28 30 29 28 27 26 23 18 14 11 7 1 1 2 8 13 16 19 22 25 28 31 34 37 39 42 46 52 63 67 54 18 4 2 3 8 19 33 37 27 32 27 16 5 2 1 2 3 5 3 1 6 15 26 38 50 59 48 59 58 48 40
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