Vorticity
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nan 5 3 3 6 9 10 10 9 8 7 6 6 6 6 6 6 7 8 10 10 10 10 9 9 9 10 11 12 14 16 18 20 22 24 24 23 22 19 16 13 11 11 13 15 17 18 17 16 14 13 12 12 13 13 13 12 12 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 9 10 12 12 13 13 12 12 11 10 10 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 10 11 12 13 14 14 14 14 13 13 13 13 12 12 11 12 12 12 12 11 11 11 10 10 10 9 8 8 8 8 8 9 9 9 9 8 8 8 7 nan
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nan 12 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 11 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 10 9 9 9 9 9 9 10 11 11 11 11 12 13 14 13 13 13 13 14 14 14 13 12 11 10 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 10 10 10 11 12 13 13 14 14 15 15 15 14 14 14 13 13 12 11 11 11 10 10 11 11 11 11 11 12 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 nan
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nan 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 10 10 11 11 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 12 12 11 11 10 10 8 6 5 4 4 5 6 7 8 9 10 11 12 14 16 16 15 14 13 12 12 11 10 9 9 9 10 11 10 10 8 7 6 6 5 5 5 6 6 7 8 9 9 10 10 11 12 13 13 14 13 13 13 13 13 14 14 14 14 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 9 8 9 10 12 13 13 14 14 13 13 13 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 11 10 10 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 8 5 4 4 5 6 7 8 9 9 11 13 15 17 18 17 16 14 13 12 12 11 10 9 9 10 10 11 10 9 8 7 6 6 6 6 6 7 7 7 8 8 8 9 9 10 11 12 13 13 13 12 12 12 12 13 13 13 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 11 11 12 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 9 8 9 10 11 12 13 14 14 14 13 12 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 7 8 8 9 10 11 11 12 12 12 12 11 12 12 12 12 11 10 8 6 6 6 7 8 9 9 10 11 13 16 19 18 18 16 15 14 13 13 12 11 10 9 9 9 10 10 9 9 8 8 7 7 7 7 8 9 9 9 9 8 8 8 9 10 11 12 13 13 12 12 11 11 12 12 12 12 13 13 13 13 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 8 8 9 9 10 11 11 10 10 10 10 9 9 9 9 10 11 11 11 11 12 13 13 12 10 9 9 9 10 11 13 14 14 13 12 11 11 11 10 10 10 10 11 11 12 12 12 11 10 10 10 11 11 10 10 10 10 9 9 8 8 7 7 8 8 10 11 12 12 12 13 13 13 13 14 14 14 14 13 11 9 8 7 7 8 9 10 11 13 16 18 20 20 18 15 14 13 13 14 14 13 11 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 8 8 9 10 12 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 8 8 9 9 10 10 10 10 10 10 10 9 8 7 8 8 9 10 11 12 12 13 13 13 12 11 10 10 10 11 11 12 12 12 11 10 10 10 10 10 9 10 11 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 12 13 13 13 13 13 14 14 15 15 15 15 13 11 10 9 8 8 9 10 12 14 17 21 22 21 18 15 13 12 13 14 15 14 12 9 7 6 7 7 8 9 10 11 11 10 9 9 9 10 10 10 10 10 9 8 8 9 9 11 13 13 13 13 12 11 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 9 9 10 10 10 10 10 10 10 10 10 8 7 7 7 8 10 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 14 14 13 14 14 14 14 13 13 11 9 9 8 9 9 9 10 13 16 19 22 21 19 16 13 13 13 15 17 16 14 11 7 5 5 7 8 9 10 11 11 12 11 11 10 10 11 11 11 11 10 9 8 8 9 10 12 13 14 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 9 9 9 10 10 10 11 11 12 13 14 15 15 14 14 13 13 12 11 10 9 8 7 7 7 8 9 9 9 10 11 13 16 18 20 19 18 16 16 16 17 18 17 15 13 9 6 6 7 8 9 10 10 10 11 12 13 12 12 11 11 11 11 11 10 9 9 9 9 11 13 14 14 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 12 12 nan
nan 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 11 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 11 12 12 13 13 14 15 15 15 14 14 13 13 13 11 10 8 6 5 4 5 6 8 9 10 10 11 12 14 15 17 17 16 16 16 16 16 15 14 12 10 9 7 7 7 8 9 9 10 10 10 11 12 12 13 13 12 12 12 11 11 10 10 9 9 10 12 14 15 14 14 12 11 11 10 10 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 nan
nan 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 11 11 12 12 13 13 12 12 12 13 12 12 11 10 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 15 15 15 15 14 13 13 12 13 12 11 10 9 7 7 6 7 8 9 9 10 11 12 13 14 16 16 15 13 12 10 10 10 9 8 7 6 6 7 8 9 9 9 9 10 11 11 11 11 11 12 13 13 13 12 11 10 9 9 9 10 11 13 15 15 15 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 nan
nan 10 9 9 10 10 10 9 8 9 9 9 9 10 10 11 11 11 10 9 9 9 10 11 11 12 12 13 12 12 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 13 13 13 14 14 14 14 14 14 14 13 13 12 12 12 12 12 11 11 10 9 9 9 9 10 10 10 10 12 13 14 16 16 16 14 12 10 8 7 6 6 6 7 8 9 10 10 10 10 10 11 12 13 12 12 10 11 13 14 15 14 12 9 8 8 8 8 10 12 13 15 15 15 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 nan
nan 10 10 9 10 9 8 8 7 8 9 10 10 10 10 11 11 10 9 9 8 9 10 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 10 10 10 11 12 12 12 13 13 14 14 14 13 13 12 12 12 11 11 11 12 12 11 11 11 10 10 9 9 10 10 10 10 10 11 12 14 15 16 17 16 15 12 10 8 8 8 8 9 10 10 11 11 11 11 11 11 12 13 14 13 12 11 13 15 16 16 14 10 8 7 7 7 8 9 11 13 15 15 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 nan
nan 10 10 10 9 9 8 8 8 8 9 9 10 11 10 11 11 11 10 10 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 13 12 12 12 11 10 9 9 9 10 10 10 11 10 10 9 9 8 8 9 10 11 11 11 11 11 12 14 15 16 16 16 15 13 10 8 9 9 10 10 10 10 10 10 11 11 11 12 13 14 15 14 13 14 16 17 17 15 12 9 7 7 7 7 8 9 11 12 14 15 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 11 10 10 10 9 9 9 9 9 9 9 10 11 11 11 12 11 11 10 10 9 9 9 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 8 6 6 7 8 8 9 9 9 9 9 9 8 8 8 9 10 11 13 13 13 13 13 13 14 15 16 16 15 13 9 8 8 9 10 10 10 10 10 10 11 11 12 13 15 16 16 16 15 16 17 17 15 12 9 8 7 7 8 8 8 9 10 12 14 15 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 11 11 10 10 10 10 10 10 10 9 10 10 11 10 11 11 11 11 10 10 9 9 9 10 11 12 12 12 12 12 12 12 13 13 13 12 12 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 6 6 6 8 9 9 9 9 9 9 9 9 8 7 7 8 9 12 14 15 15 14 13 13 13 15 15 15 12 10 9 9 10 10 10 10 10 10 11 11 12 13 15 17 17 17 16 15 15 14 13 11 9 7 7 7 7 8 8 8 9 10 12 14 15 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 nan
nan 11 11 11 11 10 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 11 11 12 12 13 13 13 12 11 10 10 9 9 8 8 8 9 9 9 9 9 10 10 9 9 10 10 10 10 10 9 8 7 7 8 9 9 10 10 10 10 10 10 10 9 8 8 7 6 7 9 12 14 15 15 13 13 13 13 13 13 12 11 11 11 10 10 10 10 11 11 11 12 14 15 17 18 17 16 14 13 12 11 9 8 7 6 7 7 8 8 8 8 9 10 12 14 15 14 14 13 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 11 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 11 11 12 12 13 13 13 13 12 11 10 11 12 13 13 12 12 11 11 10 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 12 12 11 11 11 11 11 10 9 9 8 8 7 7 9 11 13 15 15 14 13 12 12 12 12 12 12 11 10 10 10 10 11 11 11 12 14 16 17 18 17 15 12 11 9 9 8 7 6 6 6 7 7 8 8 8 8 9 11 13 14 15 14 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 14 13 13 13 12 12 12 11 10 11 12 12 13 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 11 11 11 11 11 11 10 10 11 12 14 15 16 16 14 13 11 11 12 13 13 11 10 8 8 9 10 11 11 12 14 17 18 18 17 14 11 9 8 7 7 7 6 6 6 6 7 8 8 8 8 8 10 12 14 15 15 15 14 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 11 11 10 10 10 10 11 12 12 13 14 14 14 14 14 13 12 12 11 10 10 10 10 11 12 13 13 12 12 13 13 12 11 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 12 12 12 13 14 13 14 15 16 18 20 20 18 15 14 12 13 14 15 14 11 9 7 7 9 10 10 11 13 16 19 19 18 15 11 9 8 8 7 7 6 6 6 6 7 8 9 9 8 8 8 10 12 14 15 15 15 14 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 10 10 10 10 11 11 12 13 14 14 15 15 14 14 13 11 10 9 8 8 8 9 10 11 12 13 13 13 13 13 13 13 12 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 9 9 10 11 11 12 12 12 12 12 13 15 15 16 17 18 20 22 22 20 18 17 16 16 17 16 13 9 6 5 6 8 9 9 11 14 16 17 17 16 13 11 9 8 8 7 7 6 6 6 6 8 9 9 9 8 8 8 10 12 13 14 15 14 14 13 12 12 12 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 nan
nan 11 11 11 11 11 10 10 10 10 10 11 12 13 13 14 15 15 15 14 13 12 11 9 8 7 7 7 7 7 8 9 11 12 12 12 12 12 13 13 13 13 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 8 6 5 5 5 6 7 7 8 8 9 10 10 11 12 13 14 15 15 16 16 18 20 19 18 17 17 17 18 16 14 11 6 4 4 6 8 9 10 12 13 14 14 14 14 13 12 11 9 8 7 7 7 6 6 7 9 10 9 9 8 8 8 9 11 13 14 15 14 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 nan
nan 11 11 11 11 10 10 10 10 10 10 11 12 13 14 14 15 14 13 13 12 11 10 9 8 7 7 7 6 6 6 8 10 11 12 12 11 11 11 12 13 13 13 12 12 11 11 12 12 12 12 12 11 12 12 12 12 12 11 10 9 8 7 6 6 6 6 6 6 7 7 8 9 10 12 13 13 13 13 13 14 14 15 14 13 12 13 14 14 14 12 10 7 5 5 6 8 11 14 15 14 14 13 14 15 16 15 12 10 8 7 7 7 6 7 8 9 10 10 9 8 8 8 9 11 12 14 15 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 nan
nan 10 11 10 10 10 10 10 10 10 11 11 12 13 14 14 14 13 12 11 11 10 10 9 8 8 7 7 7 8 9 10 10 12 13 12 11 11 10 11 11 12 12 12 12 11 10 9 9 9 10 10 11 11 12 12 13 12 12 11 10 10 10 10 9 9 8 8 8 7 7 7 8 9 11 12 12 12 12 12 12 12 12 11 11 11 12 14 14 15 14 13 11 8 7 7 10 14 17 18 17 16 16 17 18 17 16 13 10 8 7 6 6 6 7 8 9 10 10 9 9 8 9 9 11 12 14 15 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 11 10 10 10 10 10 10 11 11 11 12 12 13 13 12 11 11 10 10 9 9 9 9 9 8 8 9 10 11 12 12 13 14 14 15 14 13 12 11 11 12 12 12 11 11 10 9 9 10 11 11 11 12 12 13 12 12 11 10 10 10 10 11 11 12 12 11 9 8 8 8 9 11 12 12 12 12 12 12 12 13 13 13 14 16 18 19 18 16 13 9 6 6 6 10 14 17 18 18 17 17 17 17 16 14 11 9 7 6 6 6 6 8 9 10 10 10 10 9 9 9 9 10 12 13 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 14 14 14 14 14 13 13 12 12 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 8 9 10 12 13 14 13 12 11 10 10 11 12 12 12 12 11 11 12 12 13 14 15 17 19 20 19 16 11 7 4 3 4 6 10 13 15 16 17 17 17 16 15 14 12 10 9 7 6 6 6 7 9 10 10 11 10 10 9 9 9 9 10 12 13 13 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 nan
nan 11 11 11 11 11 12 12 12 12 11 11 10 9 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 13 12 11 11 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 11 12 12 12 12 12 13 12 11 11 10 10 8 8 9 11 13 14 13 13 13 13 14 14 14 14 14 13 12 11 11 11 12 13 14 16 17 17 16 12 7 4 2 3 5 7 10 12 13 15 17 18 17 16 14 13 12 10 8 7 6 6 6 8 10 10 11 11 10 10 10 9 9 9 10 11 12 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 nan
nan 12 11 11 11 11 11 12 12 11 10 9 8 7 7 7 7 8 8 9 8 8 9 10 12 12 11 10 10 10 11 11 11 9 8 7 6 7 7 8 8 9 10 10 9 8 7 7 7 8 9 10 11 11 12 13 13 13 12 11 11 10 9 9 8 10 11 12 13 13 14 15 16 16 17 17 17 16 14 13 12 11 11 11 12 13 14 14 13 10 7 5 5 5 7 8 10 11 12 14 17 18 17 16 14 12 10 8 7 6 6 7 8 10 11 11 11 11 10 10 10 10 10 9 10 11 12 13 13 14 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 13 13 12 11 11 12 12 12 nan
nan 12 11 10 10 10 10 10 10 10 9 8 7 7 6 7 7 8 9 9 9 10 10 11 11 11 11 10 9 9 10 11 10 8 7 6 6 7 8 9 9 10 10 10 9 9 8 8 8 8 8 9 10 11 12 13 13 13 13 13 12 11 10 9 9 9 11 12 13 13 14 14 15 16 17 17 17 17 15 14 12 12 11 12 12 13 14 14 13 10 8 7 7 8 9 10 10 10 11 13 15 15 15 13 12 10 8 7 7 6 7 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 14 13 13 14 14 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 14 12 10 10 10 11 12 12 nan
nan 10 10 9 8 8 8 8 9 9 8 8 8 8 8 8 8 9 10 10 11 11 11 12 12 12 11 10 10 10 11 10 10 8 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 8 9 9 10 11 12 12 13 13 13 13 13 12 11 10 9 10 11 12 13 13 13 13 14 14 14 15 15 14 14 13 12 12 11 12 13 14 15 14 13 10 8 7 7 9 11 11 10 10 10 11 11 11 10 9 9 8 8 7 7 7 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 14 13 14 15 15 16 14 13 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 13 13 13 12 10 9 10 10 11 12 12 nan
nan 8 8 8 8 8 9 10 10 10 10 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 11 12 12 13 13 13 13 13 12 11 10 10 10 11 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 13 13 14 13 11 10 8 8 8 10 11 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 11 12 13 14 14 14 14 13 13 14 14 14 12 12 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 13 13 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 nan
nan 8 8 8 9 9 11 13 13 13 12 11 11 12 13 13 13 13 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 10 10 9 9 8 8 9 10 12 12 12 13 13 13 13 13 12 12 11 10 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 10 10 10 10 10 11 12 13 14 14 14 14 13 13 13 13 12 12 12 12 12 13 13 13 12 13 12 12 12 12 12 12 12 12 13 14 15 14 12 11 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
53 39 31 35 42 32 21 11 2 1 1 2 2 2 3 5 6 5 5 19 50 88 123 141 138 121 115 108 99 122 190 244 266 265 275 222 164 112 67 25 5 2 4 7 8 9 8 7 5 4 4 5 5 5 5 7 8 9 10 11 10 10 9 8 8 9 9 9 9 10 9 9 9 8 8 8 8 7 7 6 6 5 4 4 4 3 3 3 3 3 3 2 2 2 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 4 5 6 6 7 8 8 7 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 7 12 16 17 15 18 22 29 38 46 48 41 34 27 20 13 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
69 59 47 32 26 20 10 3 0 0 0 0 0 0 2 4 5 6 9 24 51 77 106 134 156 147 158 169 178 189 233 279 267 221 194 143 93 54 28 13 5 9 13 15 13 9 7 5 4 4 4 5 6 6 7 7 8 9 9 9 8 8 9 9 10 11 11 11 11 11 10 10 9 9 8 8 7 7 6 6 5 4 4 4 4 3 3 3 3 3 3 2 2 2 2 1 1 1 1 2 1 1 1 1 2 1 1 1 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 1 1 2 2 3 5 11 16 20 23 27 35 46 53 52 43 30 19 10 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
74 64 48 29 10 7 3 1 0 0 0 0 0 0 1 1 2 3 7 19 39 60 77 91 106 143 206 267 314 341 374 340 263 183 128 83 53 38 31 25 20 29 27 18 11 7 5 3 2 3 5 6 8 9 9 8 8 7 7 8 8 9 10 10 11 12 12 11 11 11 10 10 9 8 7 7 7 6 6 6 5 4 4 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 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 1 3 7 13 20 28 37 46 53 55 50 38 21 11 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
52 46 33 18 6 0 0 0 0 0 0 0 0 0 1 0 0 1 5 16 33 61 79 101 128 161 209 278 363 453 520 441 350 266 195 136 90 62 50 45 42 31 19 10 5 4 3 2 2 3 5 7 8 9 8 7 7 6 7 8 9 10 11 12 13 13 12 11 11 11 10 9 9 8 7 6 6 5 5 4 4 4 3 3 3 3 3 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 8 12 20 29 38 45 47 47 37 24 11 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
25 24 21 18 11 1 0 0 0 0 0 0 0 1 3 4 4 3 4 10 24 51 81 112 150 195 248 311 381 454 506 493 468 426 363 278 175 93 59 48 39 22 11 6 4 4 4 4 4 4 5 6 7 7 6 5 5 7 8 9 10 11 12 13 13 13 12 12 11 11 10 8 8 7 6 6 5 5 4 4 4 4 3 3 3 3 2 2 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 0 0 0 0 1 4 7 11 16 21 31 39 44 42 35 27 15 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
18 8 8 10 7 1 0 0 0 0 0 1 4 7 9 10 8 4 2 3 12 33 81 113 153 216 308 385 394 368 348 385 444 472 448 364 225 99 57 47 40 30 18 10 6 5 4 5 5 5 5 6 6 5 5 4 5 7 8 9 10 11 12 12 12 12 12 12 11 10 9 7 7 6 6 5 5 5 4 4 4 3 3 2 2 2 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 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 3 7 10 14 20 28 35 41 42 37 29 20 10 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
43 12 3 2 1 0 0 0 0 0 2 8 29 32 26 16 7 1 0 1 13 46 108 134 152 179 219 247 212 169 153 186 265 337 367 343 266 168 138 116 93 66 37 15 7 5 4 5 5 5 5 6 6 5 5 5 6 7 8 9 10 11 12 12 13 13 13 12 11 10 8 6 5 5 5 5 4 4 4 4 4 3 3 2 2 2 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 1 2 3 3 2 2 2 2 2 2 2 2 4 6 10 14 19 21 26 35 46 51 47 36 23 12 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
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