Vorticity
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nan 5 6 7 7 8 9 9 10 11 11 11 11 12 12 13 13 12 12 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 11 10 9 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 8 9 10 10 10 9 9 8 7 7 6 6 6 7 9 10 12 14 16 17 18 18 18 17 16 15 12 10 10 11 12 13 13 11 9 8 8 8 8 8 7 6 5 5 6 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 5 6 6 6 7 7 7 8 9 9 9 10 10 11 12 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 12 12 12 12 12 12 nan
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nan 6 7 8 9 9 9 9 10 10 11 12 13 14 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 10 10 9 9 9 9 10 10 11 11 11 11 10 9 8 8 7 7 8 8 8 8 8 8 7 7 7 6 6 7 8 9 11 13 16 18 19 20 20 19 19 16 13 12 11 11 12 11 10 8 8 7 8 8 9 10 9 7 5 3 4 6 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 6 7 8 8 9 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 12 12 12 12 nan
nan 6 7 8 8 9 9 10 10 11 12 13 14 14 13 12 11 11 11 12 12 12 11 10 10 10 9 10 10 11 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 10 10 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 11 13 16 18 19 20 20 20 19 16 14 12 11 10 9 9 9 8 8 8 8 8 9 10 10 8 5 3 3 5 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 5 5 5 6 7 8 9 9 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 12 12 12 nan
nan 5 6 6 6 7 9 10 12 13 14 14 14 13 12 11 11 11 11 12 12 12 12 11 11 10 10 10 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 10 9 8 8 7 8 8 8 9 10 10 11 11 11 10 10 9 9 8 8 7 6 6 6 5 6 7 8 10 11 11 11 12 12 14 16 18 20 21 21 20 17 15 13 12 12 10 9 10 10 10 10 9 9 9 9 9 10 9 6 3 3 3 4 6 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 6 6 7 9 9 10 10 11 11 12 11 11 10 10 11 11 11 11 11 11 11 11 11 12 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 nan
nan 5 5 5 5 6 7 9 11 13 14 14 13 12 12 11 11 11 11 12 13 13 13 12 11 10 10 10 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 10 9 9 8 7 6 6 7 8 8 9 10 11 11 11 11 11 10 9 9 8 7 6 5 4 4 5 6 7 10 12 13 14 15 15 16 17 19 20 20 20 19 16 14 13 13 13 11 9 10 10 11 12 12 11 9 8 8 9 9 8 6 4 4 5 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 12 12 13 13 11 9 9 10 10 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 6 6 5 5 5 5 7 9 10 11 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 10 10 10 9 8 8 7 6 5 5 6 7 7 9 10 11 11 12 11 11 11 10 10 9 8 6 4 3 3 4 5 7 9 11 13 15 17 17 18 18 19 19 20 19 17 15 14 15 15 13 10 8 8 9 11 13 13 12 10 8 8 9 10 9 8 7 8 9 10 9 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 10 11 11 11 11 12 12 12 13 13 12 11 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 12 12 12 nan
nan 8 7 6 5 5 6 6 7 8 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 10 10 9 9 8 8 7 7 6 5 5 5 5 7 8 10 11 12 12 13 13 13 12 11 11 9 8 5 4 4 4 5 5 7 8 10 12 14 17 18 18 18 19 19 20 18 16 15 16 17 17 13 8 7 7 9 11 12 12 12 10 9 9 10 11 11 10 9 9 10 11 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 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 11 11 11 11 11 nan
nan 9 9 8 7 6 6 6 7 8 9 10 10 11 11 11 11 11 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 13 13 13 13 12 12 11 11 11 10 9 8 8 7 7 6 6 5 5 5 6 7 8 10 11 12 13 14 15 15 15 14 13 11 9 7 6 5 5 5 6 7 7 9 10 12 14 16 18 19 20 21 21 20 17 15 15 16 17 17 14 11 9 9 9 10 11 11 11 11 10 10 11 12 12 11 10 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 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 11 11 11 11 nan
nan 10 10 10 9 8 7 7 7 8 9 10 10 11 11 11 11 10 10 10 10 11 11 12 12 11 11 11 10 11 11 11 12 12 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 8 7 7 6 6 6 6 7 7 8 8 9 10 12 13 14 15 16 16 17 16 16 14 12 11 9 8 7 7 7 7 8 9 10 11 12 14 16 17 18 19 21 20 18 15 13 12 12 13 14 14 12 11 9 8 8 9 10 10 11 11 11 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 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 11 11 11 11 11 11 11 nan
nan 11 11 11 11 10 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 11 12 12 12 11 11 10 10 11 11 12 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 8 8 9 9 10 10 11 12 13 14 15 16 16 17 17 17 16 16 15 13 12 11 10 10 9 9 10 10 11 12 13 15 15 16 16 16 17 15 13 12 11 10 10 10 11 11 11 10 9 9 9 10 10 10 11 11 11 12 12 12 13 13 12 12 11 11 11 11 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 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 11 nan
nan 10 11 12 12 11 10 9 9 9 11 12 12 12 11 11 10 10 10 10 10 11 12 12 12 11 11 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 11 11 12 12 13 14 15 15 16 16 16 16 16 16 16 16 15 15 14 13 13 12 12 12 12 13 14 15 14 14 14 14 13 11 11 10 10 10 10 10 11 11 10 10 10 10 11 11 10 10 11 12 12 12 12 12 13 14 14 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 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 11 11 11 11 nan
nan 10 10 11 12 11 10 9 10 10 12 12 12 12 11 11 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 13 13 14 14 14 14 13 13 13 14 14 15 16 16 16 16 15 15 14 14 14 15 15 14 13 12 13 13 12 11 11 11 12 12 13 13 13 12 12 11 11 11 11 12 13 14 14 13 13 12 12 13 14 14 13 13 13 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 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 11 11 11 11 nan
nan 11 11 12 11 11 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 10 9 9 9 10 11 12 14 15 16 16 16 16 16 15 15 13 12 11 12 14 15 14 12 12 12 13 13 14 14 13 13 12 12 11 11 12 15 18 19 17 15 14 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 10 11 11 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 9 9 10 10 10 9 9 9 8 7 7 6 7 7 8 9 11 13 14 15 15 15 15 13 11 11 10 13 16 17 15 13 12 12 13 13 13 13 13 13 13 12 12 13 14 18 21 20 18 15 13 12 12 12 13 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 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 11 11 nan
nan 13 13 13 13 13 13 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 9 10 10 10 10 9 9 9 9 8 7 7 6 6 6 7 8 10 11 13 14 15 15 13 11 10 10 14 18 18 16 14 13 12 12 12 13 13 13 13 13 13 13 14 15 17 18 16 14 12 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 13 13 13 12 13 14 15 15 14 12 11 10 11 12 12 12 13 13 13 12 12 12 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 9 9 9 9 11 11 12 12 11 11 10 10 10 10 9 9 8 8 8 7 7 8 9 10 11 13 14 14 13 11 10 9 12 15 16 16 15 13 12 12 12 12 12 13 13 14 14 15 15 15 14 13 12 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 13 14 15 14 13 12 11 11 12 12 13 13 13 13 13 12 12 12 11 11 10 10 10 9 9 8 8 7 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 13 12 12 12 11 10 10 10 10 11 12 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 12 14 14 13 12 11 9 10 11 13 15 15 13 12 11 11 12 12 13 13 14 15 15 15 14 12 11 11 10 10 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 13 13 12 12 11 11 11 12 12 12 12 12 13 13 14 14 14 13 13 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 12 12 12 13 13 13 13 13 12 11 11 10 11 11 12 13 13 13 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 13 14 14 14 13 12 10 10 11 13 14 13 12 11 11 11 12 12 12 13 14 15 15 13 12 11 10 10 10 10 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 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 11 11 nan
nan 14 14 15 14 12 9 7 8 9 11 13 14 14 14 14 14 14 14 14 13 13 12 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 15 16 16 16 15 12 12 12 13 14 14 12 11 10 11 12 12 12 11 12 12 13 13 12 11 10 10 10 10 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 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 nan
nan 14 15 16 15 13 10 7 7 9 11 14 16 15 15 14 14 14 14 14 13 13 13 12 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 12 12 13 13 13 13 13 13 13 12 11 10 8 8 7 7 7 8 8 8 8 8 8 9 10 11 12 14 15 15 15 15 15 14 14 15 17 19 20 19 16 13 13 14 15 15 14 12 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 12 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 14 15 17 16 13 11 10 10 12 14 15 15 15 15 14 14 14 13 13 13 12 12 11 9 7 6 5 6 6 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 13 11 10 8 6 6 6 6 7 7 7 7 7 7 8 9 11 12 14 15 15 15 15 15 14 13 14 16 18 18 17 14 13 13 14 15 15 14 12 11 11 11 11 11 11 10 9 7 7 9 10 11 12 12 13 14 14 14 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 11 14 18 19 17 15 12 12 12 13 14 14 14 14 14 13 13 13 13 12 12 11 10 9 7 6 5 6 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 11 11 12 13 14 14 14 14 14 12 11 9 8 7 7 8 8 8 8 7 7 7 8 9 10 12 13 14 14 14 14 14 13 13 13 13 14 13 13 12 12 12 13 14 14 13 11 11 10 10 12 14 15 15 13 9 8 9 10 11 11 11 12 13 13 14 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 nan
nan 6 8 12 17 19 18 16 14 13 13 13 14 14 14 13 13 12 12 12 12 11 11 10 9 8 7 6 6 6 7 7 7 7 8 8 8 8 8 9 10 11 11 11 10 10 9 9 10 10 11 13 13 14 15 15 15 14 13 12 11 11 10 10 10 9 9 8 7 7 7 8 9 10 11 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 14 14 14 13 11 10 10 11 14 17 19 19 16 13 12 11 10 10 9 10 10 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 4 5 10 15 17 18 17 16 15 14 14 14 14 13 13 12 12 11 11 10 9 9 8 8 8 7 6 6 7 7 8 8 9 9 10 10 10 11 11 12 12 11 11 10 10 10 10 11 12 13 14 14 14 15 15 15 14 14 13 13 12 12 12 12 12 11 10 9 8 8 9 9 10 10 11 12 12 12 13 13 13 14 14 14 14 14 14 14 14 13 14 14 13 12 11 10 9 10 12 14 16 16 15 14 13 11 10 9 9 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 4 6 10 14 16 18 18 17 15 14 13 13 13 12 11 11 10 9 8 7 7 7 7 8 8 7 7 8 8 9 9 10 10 11 11 10 11 11 12 12 12 11 10 9 9 9 10 11 12 13 14 14 14 14 14 14 14 13 13 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 12 12 13 13 14 14 15 15 16 16 15 14 13 12 13 13 12 11 10 9 9 8 9 10 11 13 13 12 12 11 10 9 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 9 11 14 15 16 16 15 14 13 12 12 11 9 8 8 7 6 6 6 7 7 8 8 9 8 9 9 10 11 11 11 11 10 9 9 9 9 10 10 10 9 8 7 7 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 14 13 12 12 12 12 12 13 14 14 14 14 15 15 14 14 12 11 11 12 12 12 11 11 10 10 9 8 7 7 9 10 11 11 11 9 8 8 9 10 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 nan
nan 11 11 11 12 13 13 13 13 13 11 10 9 7 7 6 6 6 5 6 6 8 9 9 9 9 9 10 11 11 12 11 10 9 9 8 8 8 8 9 9 8 7 6 6 7 7 8 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 14 14 14 15 15 15 14 14 13 13 13 14 14 15 14 14 14 14 13 11 9 8 7 9 11 12 12 11 11 10 11 10 9 8 7 8 8 9 9 9 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 11 nan
nan 12 10 10 10 10 10 11 12 11 10 9 7 6 6 7 7 7 7 7 8 9 10 10 10 10 10 11 11 12 11 10 9 8 8 8 8 8 8 9 8 8 8 7 7 8 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 14 14 15 15 15 14 14 13 13 14 14 14 14 14 14 13 12 11 9 8 7 7 9 11 12 12 12 11 11 11 11 11 9 8 7 6 6 6 6 7 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 11 11 11 11 nan
nan 10 8 8 8 8 9 10 11 11 11 10 8 7 7 8 9 9 9 9 9 10 11 11 11 11 11 12 12 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 13 12 12 13 13 13 14 14 14 14 15 14 14 13 13 13 13 13 12 12 12 13 13 13 12 12 11 9 8 9 10 12 12 12 12 11 11 12 11 11 10 9 7 6 5 4 5 6 8 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 11 11 11 11 11 nan
nan 9 8 9 9 11 12 12 13 14 13 13 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 11 12 12 12 12 13 13 12 12 13 13 13 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 13 13 13 13 12 12 11 10 10 11 11 12 12 12 12 12 11 11 11 10 10 9 9 8 6 6 7 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 13 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 nan
nan 10 11 12 13 14 14 13 14 14 14 14 13 11 11 11 12 13 13 12 12 12 12 12 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 13 13 12 12 13 13 13 14 14 14 14 14 14 13 13 12 12 12 12 12 13 13 13 13 13 13 13 12 12 11 10 10 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 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
18 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 28 36 41 51 68 75 73 69 72 81 80 73 70 79 83 85 85 85 85 102 140 168 184 205 223 230 229 225 220 227 233 233 226 217 210 207 195 170 129 89 53 26 9 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 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 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 9 12 21 28 31 30 27 23 21 20 19 19 18 19 21 23 27 31 34 37 41 46 53 60 67 74 79 83 86 87 86 82 75 67 61 56 53 55 57 60 60 59
19 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 40 67 88 95 90 91 97 101 105 108 114 108 97 87 86 85 84 86 87 92 122 170 201 222 244 253 229 194 159 134 142 154 161 162 156 148 146 137 115 81 49 25 10 2 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 1 3 7 12 17 23 27 27 24 21 20 19 19 19 19 20 23 26 29 33 37 41 46 52 56 61 66 72 78 82 83 82 80 75 68 60 54 50 49 49 51 52 51 48 43
11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 20 51 89 126 145 139 147 157 163 165 163 163 164 154 145 143 141 140 142 150 164 194 215 222 241 277 311 255 167 98 65 64 69 69 66 63 66 71 67 54 35 17 7 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 1 0 0 0 0 0 3 7 11 14 19 24 25 25 23 22 21 21 21 21 21 24 27 30 33 37 42 48 55 60 61 63 66 70 73 74 72 70 65 59 52 45 41 39 40 41 43 41 37 32 28
3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 41 83 131 162 179 210 234 236 222 206 204 213 216 224 235 239 230 222 212 204 202 197 197 241 325 404 317 164 66 28 19 18 14 9 6 10 16 16 13 8 3 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 0 0 0 0 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 0 0 0 0 0 0 1 2 3 3 3 4 2 1 0 0 1 1 5 9 13 16 19 23 24 24 23 24 24 26 27 28 29 30 32 34 37 40 44 52 58 60 60 60 61 62 62 62 59 55 49 42 34 30 28 27 27 28 27 23 19 16 14
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 28 68 116 155 190 234 277 291 264 235 233 216 237 258 266 254 224 192 155 128 123 119 143 232 370 482 353 158 53 13 3 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 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 0 0 0 0 0 0 1 3 7 8 8 8 7 6 5 5 5 7 8 10 13 16 19 20 21 23 24 26 29 32 34 36 38 39 40 39 38 39 40 42 48 51 53 53 54 54 53 52 50 46 41 34 28 22 21 20 19 18 16 13 11 8 6 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 14 35 79 122 156 183 210 239 260 238 213 196 170 202 220 217 196 172 123 89 76 82 96 165 297 439 484 273 110 34 6 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 13 14 15 15 13 12 11 10 10 11 14 17 19 20 20 21 23 25 30 35 39 41 44 46 48 47 45 42 40 39 40 43 45 46 46 45 43 41 38 35 30 26 21 18 15 15 14 12 10 7 7 6 6 5 5
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 14 24 46 86 123 156 178 190 194 193 170 150 135 125 138 152 167 196 229 161 152 149 161 203 304 421 458 357 123 35 9 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 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 17 20 21 21 21 20 19 17 16 16 18 19 19 20 20 20 22 23 26 31 35 41 45 49 52 52 51 48 45 41 39 39 40 41 41 39 35 32 28 26 22 19 16 14 12 11 10 8 6 5 5 5 5 5 5 5
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