Vorticity
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nan 5 6 6 6 11 19 18 12 5 3 3 5 8 9 9 7 5 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 5 5 5 7 9 9 9 8 8 8 8 7 7 6 5 5 5 5 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 3 2 2 2 1 -0 -2 -3 0 4 6 6 3 1 -1 0 2 3 3 3 3 3 4 4 6 8 12 15 15 12 9 7 8 8 7 5 nan
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nan 10 11 12 13 14 14 14 14 14 13 14 15 14 13 12 10 10 11 12 12 11 10 10 9 9 9 9 9 10 10 9 9 10 10 11 11 11 11 10 9 8 7 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 10 11 10 9 9 8 8 8 8 7 6 6 6 6 6 6 7 7 7 9 10 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 8 7 7 7 7 8 9 9 8 8 8 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 7 6 6 5 5 4 4 5 6 7 10 16 20 22 19 17 15 14 14 13 13 13 13 13 13 12 nan
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nan 12 11 11 12 13 14 14 14 14 15 16 16 16 14 13 12 12 12 12 13 14 13 13 12 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 8 9 9 8 7 8 9 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 7 7 7 8 9 10 10 10 9 8 8 9 10 10 10 10 9 9 8 8 7 6 6 6 5 6 8 12 16 20 21 21 19 18 18 18 18 16 15 14 13 nan
nan 12 13 12 12 13 13 14 15 15 15 16 16 16 15 15 15 15 15 14 14 14 14 14 14 13 12 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 7 7 7 9 10 10 10 9 9 9 8 7 7 6 7 7 7 7 7 7 7 8 8 9 8 7 7 7 7 7 7 7 6 6 7 8 8 7 7 7 7 8 8 7 7 8 8 8 8 9 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 10 11 11 10 9 9 9 10 10 10 10 10 10 9 9 8 7 7 7 7 6 6 7 10 14 18 20 20 22 22 23 23 21 17 15 13 nan
nan 12 13 13 13 13 13 14 15 15 15 15 15 15 16 17 16 16 15 15 14 13 13 13 13 13 12 11 10 10 9 9 9 9 9 9 10 10 9 8 7 6 7 7 8 8 8 8 8 8 8 7 7 8 8 8 7 7 8 10 11 10 9 7 6 7 9 9 9 9 9 9 9 9 8 6 6 6 7 7 7 8 8 8 8 8 8 7 7 6 7 7 7 6 6 6 6 7 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 6 7 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 8 7 7 9 9 7 6 7 9 13 16 17 18 21 23 25 24 20 17 15 nan
nan 12 13 13 13 13 13 13 13 14 15 14 14 14 15 16 15 14 14 14 14 12 12 11 11 11 10 9 9 8 8 7 7 7 7 7 8 8 7 7 6 5 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 9 10 10 10 8 7 6 7 8 8 8 9 9 9 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 7 6 6 6 6 6 6 5 6 6 7 7 7 8 8 9 10 10 9 9 9 9 8 8 8 8 10 11 11 10 10 10 10 10 9 9 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 10 9 9 9 9 10 10 10 10 10 11 11 11 10 9 8 9 10 10 9 8 7 8 9 10 11 11 13 17 22 24 23 20 17 nan
nan 12 12 12 12 12 11 11 11 12 13 14 14 14 14 13 12 11 12 13 13 11 9 9 8 9 9 9 8 7 7 6 6 6 6 5 5 5 6 6 5 5 5 6 6 7 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 7 8 8 9 10 9 9 9 9 8 7 7 7 7 8 8 8 8 9 9 8 7 7 6 6 6 6 5 5 6 6 6 6 7 7 8 9 10 10 10 9 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 9 9 10 11 11 11 10 9 8 7 7 7 7 8 12 17 22 24 24 21 nan
nan 11 11 10 10 10 10 10 9 10 11 12 13 13 13 11 9 8 10 12 11 10 8 7 7 7 8 8 8 7 6 6 6 6 5 4 4 4 4 4 5 5 6 6 6 7 7 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 7 7 7 7 8 9 10 10 9 9 9 9 8 6 6 6 7 7 8 8 9 9 9 8 8 8 7 7 7 7 6 6 6 5 6 6 7 8 8 9 9 10 9 8 7 6 7 8 8 7 6 5 6 7 8 8 9 9 9 9 8 8 8 7 7 8 8 7 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 11 11 11 11 10 10 9 9 10 10 11 11 11 10 10 8 7 7 7 7 7 9 13 17 22 25 25 nan
nan 10 10 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 10 12 12 11 10 9 8 7 7 8 7 7 6 6 5 5 5 5 5 4 4 4 5 6 7 7 7 7 7 8 8 8 8 9 9 9 8 8 9 9 10 10 10 9 8 7 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 7 7 8 9 9 9 8 8 8 9 8 8 8 8 8 7 6 6 5 6 8 9 9 9 9 9 8 8 8 7 8 8 8 7 5 4 4 6 7 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 9 9 10 10 11 11 11 10 9 8 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 10 10 10 10 9 10 10 9 8 7 7 7 7 8 8 9 12 17 22 26 nan
nan 9 9 9 8 8 8 9 9 9 9 9 10 11 11 12 12 12 13 14 15 14 13 12 10 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 8 7 8 9 9 9 8 7 7 8 9 9 8 8 7 6 6 7 8 9 9 9 8 7 7 8 8 8 8 8 8 9 8 8 8 8 9 10 10 10 10 10 9 8 8 9 9 8 8 8 8 6 5 5 6 7 8 9 10 10 8 7 7 7 6 6 6 7 7 7 8 9 10 11 11 11 12 12 12 10 9 8 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 10 10 10 10 11 11 10 9 9 9 9 9 8 7 7 7 7 7 7 7 8 11 15 21 nan
nan 8 8 8 8 8 8 9 10 11 10 8 8 9 10 12 13 15 15 15 15 15 14 13 12 11 10 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 9 7 7 8 9 9 9 8 7 8 9 9 9 8 8 7 6 6 7 7 8 8 8 8 7 7 8 8 8 8 8 8 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 6 7 7 7 8 8 8 8 7 6 6 6 6 6 6 7 7 7 7 7 8 9 10 11 11 11 11 12 11 10 9 9 9 9 9 10 10 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 11 12 11 10 9 9 9 9 8 8 7 7 7 7 7 7 6 6 7 9 13 nan
nan 6 7 8 8 7 8 10 11 12 11 9 7 8 9 11 13 15 16 15 14 13 13 13 13 12 12 11 10 10 9 10 10 9 9 9 10 10 10 10 9 9 10 10 10 10 9 8 9 9 9 9 10 10 11 11 12 12 11 10 10 9 8 8 9 9 9 9 8 9 9 10 10 9 9 9 8 7 6 7 7 7 7 7 7 8 8 8 9 9 8 8 8 9 11 12 12 12 12 11 10 10 10 9 9 9 8 7 6 6 6 6 6 6 7 8 8 9 9 9 7 6 5 4 5 5 5 6 7 8 8 8 7 7 8 9 9 9 10 10 11 11 12 12 11 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 8 9 10 11 12 12 12 11 10 9 8 8 7 7 7 7 7 6 6 6 5 6 7 8 nan
nan 6 7 8 8 8 8 9 11 12 13 10 7 7 9 11 12 14 15 15 14 12 10 10 12 13 13 12 11 11 11 11 12 12 11 11 12 12 12 12 11 11 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 6 6 7 8 8 8 8 9 9 8 8 9 10 11 12 12 11 10 10 9 9 9 8 7 6 4 4 4 5 5 6 7 7 8 8 9 9 9 8 6 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 11 13 13 12 11 11 10 11 11 10 10 9 9 8 8 9 9 8 8 7 7 8 8 9 9 10 11 12 11 11 10 9 8 7 7 8 8 8 7 6 5 5 5 6 7 nan
nan 7 8 8 9 9 8 8 10 12 13 11 8 7 9 10 12 13 14 16 15 12 10 9 11 12 12 12 12 12 13 13 14 13 13 13 13 14 14 14 13 12 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 7 7 8 8 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 7 5 3 3 3 4 4 5 6 7 7 8 9 10 10 9 7 5 4 5 6 7 7 8 7 7 7 8 8 8 8 7 7 7 7 8 9 11 12 12 12 12 11 11 11 10 10 10 9 8 8 9 10 9 9 8 7 7 8 8 7 7 8 9 11 11 11 10 8 7 8 8 9 9 9 8 7 6 5 5 5 nan
nan 8 8 9 9 9 8 7 8 10 11 10 7 7 9 10 11 12 13 14 14 12 11 10 11 12 12 11 11 12 13 14 14 14 14 14 13 13 13 14 14 13 12 11 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 9 9 9 9 9 10 9 8 8 7 7 8 8 8 7 7 7 7 8 8 7 7 7 8 8 9 8 8 7 6 6 6 6 8 9 9 9 9 8 7 6 4 4 4 4 4 5 5 6 7 8 9 11 12 12 10 8 7 6 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 6 8 9 11 12 12 12 12 11 10 10 10 10 9 9 9 10 10 11 10 9 8 8 8 8 7 7 7 8 9 10 11 11 10 9 9 9 9 9 10 10 9 8 6 5 4 nan
nan 8 8 8 8 8 8 7 7 8 9 8 7 7 9 10 11 11 12 13 13 12 12 13 13 12 10 10 10 11 12 12 12 12 12 12 11 11 11 12 12 12 11 10 9 9 9 10 11 10 10 10 10 10 9 10 10 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 10 9 8 8 8 9 8 8 8 7 7 7 7 7 7 6 6 7 8 9 9 8 7 6 5 4 5 6 8 9 9 9 8 7 7 6 6 6 6 6 5 5 6 7 8 9 11 12 13 12 11 9 8 8 7 6 6 6 6 7 8 9 9 9 8 7 6 5 6 7 8 9 10 11 12 12 11 10 9 9 9 9 10 10 10 10 11 11 10 9 9 9 8 8 8 7 8 8 8 9 10 11 11 11 10 9 9 9 10 10 9 8 6 5 nan
nan 6 6 6 6 7 7 7 7 7 7 7 8 8 9 10 10 11 12 12 12 13 13 13 12 11 10 10 9 9 10 10 10 10 9 9 9 9 9 8 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 9 9 9 9 8 9 9 8 8 7 6 6 6 6 7 7 8 9 9 9 8 7 7 7 7 7 8 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 8 9 10 11 12 12 12 10 8 7 6 5 5 6 7 8 8 8 8 7 7 6 6 6 7 8 8 9 9 10 10 10 10 9 9 8 8 9 10 10 10 10 11 11 10 10 9 9 9 8 8 8 8 8 8 9 10 12 12 12 11 10 9 10 10 10 9 8 7 nan
nan 5 5 5 5 5 6 6 6 6 6 7 8 8 8 9 10 11 12 12 12 12 12 11 11 11 12 12 11 11 11 10 9 8 7 7 7 8 8 7 6 6 7 7 7 7 7 7 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 7 6 6 7 8 8 9 9 10 10 9 9 8 9 9 9 8 8 8 8 9 9 10 9 8 8 8 8 6 6 5 5 5 5 6 7 8 9 11 12 13 11 9 8 7 6 5 5 5 6 7 6 6 6 6 6 6 7 7 7 7 7 8 8 7 8 9 10 10 9 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 11 10 10 10 10 9 9 8 nan
nan 5 5 5 5 5 5 4 4 4 5 6 8 8 8 9 10 11 11 12 12 12 11 10 10 12 15 16 15 14 13 12 10 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 10 10 11 12 12 12 11 11 11 11 10 10 11 11 11 10 9 9 9 9 10 10 10 9 8 8 9 10 10 11 11 10 10 9 9 9 9 9 9 9 8 7 7 8 9 10 10 9 9 9 9 7 5 5 5 5 5 6 6 7 8 10 11 12 11 10 9 8 7 5 5 5 5 4 4 4 4 5 5 6 6 6 6 5 6 7 7 6 7 8 9 10 10 9 9 10 10 10 9 8 7 7 7 8 8 9 9 9 9 10 11 11 12 12 11 11 10 10 10 10 9 9 9 9 9 9 nan
nan 6 6 6 6 6 6 5 5 6 6 7 8 8 8 9 9 10 10 11 11 11 10 9 10 12 15 16 16 16 15 13 12 13 13 13 12 11 11 10 10 10 10 10 9 9 9 9 9 8 8 7 7 8 9 9 9 10 10 10 9 10 11 12 13 12 12 12 11 11 10 11 12 12 11 10 10 11 11 11 12 12 12 11 11 11 11 11 12 13 12 11 10 9 9 9 9 9 9 9 8 6 6 7 9 11 11 11 10 11 10 8 6 4 4 6 7 7 7 8 8 10 11 11 11 11 10 10 8 7 6 6 5 3 3 2 3 4 4 5 6 6 6 6 7 7 7 7 7 8 9 10 10 10 10 11 12 12 10 8 7 7 6 6 7 8 9 9 9 10 10 11 12 12 12 11 10 10 10 10 10 9 9 9 9 9 nan
nan 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 10 11 14 15 15 14 13 12 12 13 15 16 15 14 13 12 12 12 11 11 10 9 8 8 7 7 6 6 5 6 7 7 8 8 9 10 10 10 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 13 13 14 14 13 13 12 12 12 12 12 12 12 11 10 10 10 9 9 9 10 9 9 8 8 8 10 11 12 11 11 11 11 11 8 6 5 6 8 8 8 8 9 10 10 10 11 12 12 12 10 8 8 7 6 4 3 3 4 5 6 8 9 10 9 9 9 8 7 7 8 8 9 9 9 10 11 12 13 12 10 9 9 8 7 6 6 7 8 8 8 8 9 10 11 11 12 12 11 11 11 10 10 10 9 9 9 9 nan
nan 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 11 14 15 14 13 11 10 9 10 13 14 14 13 12 12 11 11 10 10 9 8 7 6 6 5 5 6 6 6 5 6 7 8 8 9 10 10 11 11 12 12 11 11 10 10 10 11 12 12 13 14 15 15 15 15 15 15 15 14 14 13 12 12 12 12 12 11 10 10 10 9 9 9 9 10 11 11 11 10 11 11 11 11 10 10 11 12 11 10 8 8 8 9 8 8 9 9 10 10 11 13 14 14 12 10 9 8 7 5 5 5 5 7 8 10 12 12 11 10 9 7 6 5 6 7 8 9 9 10 11 12 12 12 11 10 11 10 8 7 6 6 7 7 7 7 8 9 10 10 11 12 12 12 12 11 11 11 10 9 9 9 nan
nan 7 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 10 11 14 15 14 11 9 8 7 7 9 10 11 11 10 9 9 9 9 8 7 6 6 5 5 5 6 8 9 8 7 6 7 7 8 8 9 9 9 10 10 11 11 10 9 9 9 9 9 11 13 14 16 16 16 16 16 16 16 16 15 14 13 13 13 14 13 13 11 10 10 10 9 9 9 11 12 13 12 12 11 11 10 9 9 9 10 11 12 12 11 10 9 9 9 9 9 9 10 10 10 11 13 14 13 11 10 9 7 6 6 6 6 7 7 8 8 8 9 9 8 6 5 5 6 6 7 8 8 9 10 11 11 11 11 11 12 12 11 10 9 8 7 7 6 6 6 7 8 9 9 10 11 11 11 11 12 11 11 10 10 9 nan
nan 8 9 10 10 10 9 9 8 8 7 8 8 8 8 8 8 9 9 9 7 7 6 7 9 11 14 15 14 11 9 7 6 6 7 8 10 10 9 9 8 8 8 7 6 5 4 4 5 7 9 11 12 10 8 7 7 6 7 7 8 9 8 8 9 10 10 10 9 9 8 8 7 8 10 12 13 14 15 15 15 15 16 17 17 16 15 14 15 16 16 15 13 12 12 11 11 11 11 13 13 12 12 12 11 10 9 8 8 9 10 11 12 13 12 10 9 10 10 10 9 9 9 9 9 10 11 12 12 12 11 10 9 8 8 8 7 6 5 3 2 2 4 5 6 6 6 6 6 6 6 7 8 8 9 10 11 12 12 12 12 12 12 12 11 11 10 9 8 7 7 6 7 7 7 8 9 10 10 10 11 12 12 12 11 10 nan
nan 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 8 8 7 6 7 9 11 13 15 14 12 10 9 7 7 7 8 9 10 9 8 8 8 7 7 6 5 5 7 9 11 12 13 12 10 10 9 7 6 7 8 9 10 9 8 8 8 9 9 10 10 9 8 7 6 6 8 10 11 12 13 13 13 14 16 16 16 16 15 15 16 17 17 15 14 13 12 12 12 13 14 12 11 11 11 10 9 9 9 10 11 12 12 12 13 12 10 9 9 9 10 9 9 8 8 7 8 9 10 12 12 13 13 14 13 13 12 12 10 8 5 2 1 2 4 6 8 9 9 7 6 5 6 6 7 8 9 10 11 12 12 11 11 11 12 12 12 12 12 11 10 9 8 7 6 7 7 8 8 8 9 9 11 12 12 12 10 nan
nan 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 10 11 13 13 11 10 9 8 7 7 8 9 9 8 8 8 8 7 7 6 6 7 9 11 12 12 12 11 11 11 9 8 8 9 10 11 10 9 8 7 8 8 9 10 11 11 9 7 5 4 5 7 8 9 10 10 11 12 14 14 15 15 15 14 15 17 18 17 15 13 12 12 13 14 14 12 11 11 11 11 11 12 13 14 13 12 11 11 12 12 10 9 8 8 9 9 9 8 7 7 7 7 9 10 11 12 14 15 15 16 16 15 15 14 12 8 5 4 5 7 9 10 10 9 7 6 5 5 6 7 8 8 8 9 9 10 10 10 11 11 11 12 12 12 12 12 11 9 8 7 7 7 8 8 8 8 9 11 12 12 11 nan
nan 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 8 8 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 11 10 10 9 10 11 12 11 11 10 10 9 9 9 10 11 12 11 10 7 5 4 4 6 7 8 8 8 9 10 11 12 12 12 13 13 14 15 16 15 14 12 11 11 13 14 13 13 12 12 12 13 14 15 15 14 13 11 10 9 10 11 10 9 9 8 8 9 9 9 8 7 7 7 8 8 9 10 11 12 12 13 14 15 15 16 16 15 12 9 8 9 10 11 11 10 9 8 6 5 5 5 6 6 5 5 6 7 8 9 10 10 11 11 11 11 12 12 12 11 10 9 8 7 8 8 8 8 8 9 11 11 12 nan
nan 8 7 7 7 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 10 9 9 9 8 8 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 9 6 4 4 6 8 9 9 8 8 9 9 9 9 10 11 11 12 13 12 12 11 10 9 10 12 13 13 13 13 13 14 14 15 15 14 14 13 12 10 10 10 10 10 10 9 9 9 9 9 10 10 9 8 8 8 8 9 9 10 9 8 8 10 11 12 14 16 17 16 15 13 11 10 10 10 10 9 8 6 5 5 5 5 4 3 2 3 4 6 8 9 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 8 8 9 10 11 11 nan
nan 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 10 11 11 12 12 12 13 13 12 11 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 10 10 10 10 8 7 5 5 6 9 11 11 10 9 8 7 7 7 8 9 10 10 10 9 8 7 7 8 10 12 13 13 12 12 13 14 14 14 13 13 14 15 15 14 13 12 11 10 10 11 10 9 9 10 10 11 11 11 10 10 10 10 10 10 8 7 7 7 8 10 11 13 16 16 16 15 13 11 9 8 8 7 7 6 6 5 5 5 4 3 2 2 3 5 6 8 8 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 10 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 9 8 8 9 10 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 6 4 4 6 9 11 12 12 10 8 7 7 7 8 8 9 9 8 7 6 6 6 8 10 12 12 11 10 11 11 13 14 14 13 13 15 17 17 15 14 13 12 11 11 11 10 9 10 10 11 11 12 12 12 12 11 10 10 9 8 7 7 7 7 8 9 10 11 12 12 12 12 11 10 9 9 8 7 6 6 5 5 6 6 5 4 4 4 5 6 7 7 8 9 9 10 10 10 10 10 10 11 11 10 10 10 9 10 9 9 9 9 9 nan
nan 12 12 12 11 11 11 11 11 11 10 10 9 8 8 8 8 8 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 9 7 7 8 10 12 13 12 11 10 10 11 11 11 11 10 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 5 4 4 6 8 10 12 12 10 8 7 7 8 9 9 9 8 7 6 6 6 7 8 9 10 9 9 9 9 9 11 13 13 12 13 14 15 15 14 13 13 12 12 11 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 7 7 6 6 5 5 6 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 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
CAPE
6 9 17 17 19 60 195 535 777 986 1311 1698 2086 2227 1888 1318 914 924 919 1034 1116 1140 1059 905 722 609 549 432 271 181 167 143 97 73 66 52 44 44 41 36 25 15 7 3 3 3 4 3 2 3 3 6 11 12 11 16 21 25 24 23 22 22 22 23 24 26 28 30 31 32 34 37 37 36 30 30 32 33 34 36 45 58 63 68 72 70 65 60 55 51 47 41 36 34 31 31 32 28 25 25 29 34 41 47 51 55 78 251 563 682 429 240 208 162 127 125 126 109 100 113 123 135 126 111 99 81 62 51 46 43 39 36 31 28 29 29 28 27 24 19 14 12 8 3 0 0 0 0 0 0 0 1 2 3 6 5 7 12 22 35 43 43 42 42 43 44 41 34 32 30 28 27 27 31 35 38 44 51 52 43 38 43 41 22 16 15 10
15 14 22 28 31 77 245 559 740 885 1154 1518 1920 2181 2062 1643 1197 927 925 1036 1171 1219 1090 869 676 619 640 561 372 238 201 155 96 73 72 59 44 42 43 39 27 20 10 3 2 3 3 4 5 4 4 8 12 11 13 20 23 23 22 21 21 21 21 21 22 24 26 28 31 31 34 37 37 36 32 31 33 34 35 37 41 49 59 68 71 70 66 61 54 50 47 45 42 39 36 34 33 31 31 34 39 44 47 51 55 63 118 275 469 449 323 257 211 160 139 142 138 119 96 119 138 152 140 119 100 79 61 50 45 41 37 36 36 30 29 29 28 26 22 16 12 10 8 3 0 0 0 0 0 0 0 5 19 40 42 31 18 24 43 55 52 39 32 34 36 36 38 30 29 28 27 27 31 37 44 51 74 115 120 60 39 60 83 51 30 24 19
25 23 27 31 40 102 230 474 658 782 1016 1407 1818 2073 2094 1885 1521 1170 1069 1160 1259 1232 1047 816 656 620 675 627 425 251 186 159 108 92 80 48 47 45 43 36 28 24 13 4 3 3 3 4 5 4 6 10 12 12 16 22 24 23 23 21 21 21 21 22 22 23 24 26 28 28 32 35 35 33 31 32 34 35 36 38 42 48 57 66 70 69 65 61 55 50 46 44 42 40 38 35 33 33 36 41 48 52 54 55 63 78 172 353 496 473 369 301 238 181 163 156 143 155 143 115 148 159 142 117 96 76 59 49 44 41 40 41 37 30 29 29 28 24 19 14 11 9 8 5 0 0 0 0 0 1 9 18 46 69 82 78 73 81 87 86 82 51 19 24 30 34 32 27 26 26 26 26 33 45 56 81 166 300 328 163 70 90 127 91 55 44 41
33 31 37 39 46 111 246 436 586 685 891 1267 1657 1916 2050 2046 1864 1546 1393 1398 1378 1217 999 799 636 553 596 597 399 172 134 171 148 115 71 49 48 47 41 32 27 24 14 6 4 3 4 5 5 4 7 11 12 14 18 21 24 24 23 21 20 21 21 21 21 22 22 22 23 23 28 32 32 32 32 33 35 36 38 41 44 49 58 65 68 67 63 59 54 50 46 43 41 39 37 35 35 37 41 47 54 59 59 60 78 119 213 460 662 584 366 266 232 197 202 180 147 138 116 126 155 163 142 114 91 72 57 49 45 43 44 43 35 29 29 28 26 22 16 12 11 9 7 2 1 0 0 0 3 11 20 27 52 57 52 51 63 77 83 91 94 63 20 19 26 30 28 25 23 23 24 28 38 55 86 166 318 481 492 361 220 163 157 135 96 84 80
36 38 45 51 56 113 254 412 543 618 775 1091 1453 1762 1982 2061 2141 2018 1737 1586 1374 1179 963 723 584 509 498 507 379 171 133 193 194 131 66 48 47 47 40 31 27 24 16 7 3 3 3 5 5 5 9 12 13 19 20 23 26 26 24 21 20 21 20 20 20 20 20 20 21 23 27 30 32 33 34 35 36 38 39 42 46 52 60 65 65 63 61 57 54 51 47 43 40 38 37 36 36 38 42 49 55 59 61 64 85 139 247 458 611 516 307 235 225 212 250 211 165 140 118 123 155 162 136 107 86 67 55 49 46 45 47 45 36 30 29 27 25 19 15 12 10 9 9 8 3 0 1 4 16 31 41 57 67 57 41 33 35 43 53 69 73 55 25 18 25 28 24 21 20 21 24 31 44 66 115 230 345 375 398 415 319 197 158 154 131 121 108
39 45 58 68 76 139 266 393 523 566 664 925 1295 1648 1831 1905 2191 2213 1921 1568 1252 1062 852 695 591 516 484 463 388 286 244 247 214 136 65 43 47 46 41 33 28 25 18 8 3 3 3 5 5 6 11 13 11 22 24 25 27 25 24 23 23 23 23 21 21 21 22 23 25 28 29 31 34 35 36 37 39 41 43 45 51 57 63 65 64 62 60 59 56 54 49 45 41 39 38 37 37 37 41 46 51 55 57 62 83 154 290 407 411 338 294 279 242 204 228 203 161 135 124 144 168 146 109 92 77 62 54 49 47 47 46 43 33 29 28 27 23 17 14 11 10 8 8 7 0 0 8 18 35 49 63 79 84 74 58 43 34 35 36 41 47 40 27 22 24 22 19 17 17 19 23 32 47 68 101 238 291 277 322 374 293 188 181 182 135 124 126
43 59 75 85 95 199 296 384 503 514 591 830 1195 1529 1623 1637 1874 1890 1638 1347 1082 893 717 597 542 510 479 432 371 314 268 243 213 142 78 50 48 45 40 33 28 24 16 6 2 3 5 6 5 7 11 12 11 21 25 27 26 24 22 23 26 28 28 27 25 24 25 26 28 30 31 33 36 37 39 41 42 44 46 49 55 60 63 63 62 61 60 59 58 56 52 47 43 41 39 38 37 36 38 41 45 49 54 60 76 128 231 321 307 258 324 340 258 204 205 185 139 116 123 167 168 125 97 87 71 60 54 49 47 47 47 43 33 28 27 26 22 16 12 10 8 5 3 2 0 3 11 28 42 52 63 76 89 93 82 57 39 32 25 29 37 34 36 29 21 17 15 15 15 18 22 28 45 62 98 168 225 301 448 490 323 179 193 178 173 187 216
56 80 94 100 97 233 325 394 497 513 596 800 1094 1316 1322 1348 1516 1547 1380 1162 994 833 697 621 582 536 470 390 302 252 270 277 237 163 102 65 51 46 42 33 27 25 18 7 2 3 4 4 5 9 12 12 14 21 25 28 27 24 22 25 29 31 31 30 29 28 28 30 31 32 34 36 37 40 43 45 47 49 52 55 58 60 63 64 62 59 58 57 58 57 53 48 45 42 40 39 37 36 36 38 39 40 47 54 65 99 165 244 274 253 330 371 284 217 170 143 110 100 104 110 111 106 95 81 67 59 53 48 48 48 50 46 36 29 27 26 22 16 11 8 5 1 0 0 0 5 12 21 32 42 52 64 79 90 80 54 41 23 12 17 33 43 53 42 19 11 11 12 14 16 21 26 39 52 63 86 153 348 674 806 530 283 286 452 516 438 459
80 101 109 113 122 250 339 450 511 502 567 754 986 1109 1086 1101 1196 1257 1228 1089 956 790 690 621 548 496 436 362 286 231 242 289 262 186 125 72 54 47 43 34 29 25 18 8 2 1 1 1 4 9 12 11 13 20 26 29 30 26 25 28 32 33 33 33 33 33 32 33 35 36 37 38 40 43 46 49 52 55 58 59 59 59 61 62 61 59 57 56 55 55 53 50 48 45 42 40 37 35 34 34 34 34 40 48 56 73 107 157 190 191 222 276 255 183 128 108 101 101 107 115 115 102 86 72 65 60 52 47 48 49 49 43 34 27 26 26 22 16 10 7 3 0 0 0 1 4 11 18 26 35 43 52 64 81 82 62 37 16 5 5 24 46 56 38 12 7 8 10 12 15 20 26 33 39 41 55 136 413 889 1133 879 524 461 1113 1143 961 858
103 119 124 132 172 275 350 437 462 476 548 688 860 972 998 1048 1171 1271 1164 938 882 815 716 605 527 497 433 356 321 296 266 273 273 203 137 78 57 47 41 35 30 26 18 7 2 1 0 1 5 11 12 10 11 19 25 29 30 28 28 32 34 35 35 36 37 38 37 37 38 39 39 41 43 46 48 51 55 59 61 62 60 58 59 61 60 60 58 56 55 53 52 51 50 48 45 42 38 35 33 32 32 33 35 38 44 51 66 90 114 118 105 119 138 112 93 90 94 100 108 114 106 87 75 69 66 60 50 46 47 48 47 44 36 27 23 25 22 14 10 7 3 0 0 0 1 7 14 21 29 34 40 47 57 76 75 65 40 18 6 2 12 30 40 28 9 7 5 5 9 15 22 26 29 31 33 45 129 427 910 1197 1328 1114 862 1455 1441 1232 1267
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