Vorticity
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nan 9 9 9 9 9 9 9 10 12 16 21 24 24 22 19 15 12 11 10 10 10 10 10 10 9 9 8 7 7 8 10 11 11 11 11 11 12 13 13 14 14 13 12 10 8 7 8 9 9 8 8 9 9 9 8 7 6 5 5 5 4 5 6 7 9 9 10 10 11 11 12 13 13 13 13 14 15 16 16 15 13 12 11 10 11 12 13 14 14 13 12 11 12 13 14 14 14 14 13 12 11 10 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 11 11 12 13 14 15 14 14 13 13 12 12 13 12 12 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 nan
nan 7 8 9 9 9 9 9 10 13 17 22 24 23 19 14 9 7 7 7 8 9 9 10 10 10 9 8 7 7 8 8 9 9 9 9 9 10 12 13 14 14 13 12 11 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 5 6 7 8 9 10 10 10 10 11 11 11 11 11 11 13 14 15 16 15 14 13 12 12 12 12 12 13 13 14 14 15 16 17 17 16 15 14 13 12 10 10 9 9 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 12 14 15 15 15 15 14 13 13 13 13 12 11 10 9 9 9 10 10 10 9 9 8 9 9 9 10 10 10 10 10 11 11 12 11 10 10 9 9 10 10 10 10 11 11 11 12 12 13 13 13 13 12 12 12 11 11 nan
nan 5 6 8 9 8 8 9 10 12 17 21 22 19 14 9 5 4 5 7 8 9 8 8 9 10 10 9 9 9 9 8 8 8 8 7 8 9 11 13 14 13 12 11 10 9 8 7 8 8 8 8 8 9 9 8 7 7 8 7 7 6 6 8 9 10 11 11 11 11 11 10 10 10 10 10 11 12 14 15 15 15 14 13 13 12 12 11 11 12 13 14 16 17 18 18 17 15 13 12 11 10 10 10 10 10 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 12 14 15 15 16 15 14 14 13 13 13 12 11 11 10 9 10 11 11 11 10 9 8 8 9 10 10 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 14 14 13 13 12 12 11 11 nan
nan 5 6 7 8 7 7 8 10 12 16 20 20 17 12 8 5 5 7 8 9 9 7 7 8 9 11 11 11 11 10 9 7 7 7 7 9 10 12 13 13 13 11 10 9 8 7 6 7 8 8 9 9 9 8 8 7 7 8 8 8 9 8 8 9 10 10 11 12 11 10 10 10 10 10 10 11 11 13 14 16 16 16 15 15 14 13 11 10 10 10 11 14 16 17 17 16 14 12 11 10 10 10 10 10 10 10 10 11 13 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 13 14 15 15 15 14 14 13 13 12 12 11 11 10 10 11 12 13 13 11 10 9 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 13 13 12 12 11 11 nan
nan 7 7 8 8 8 8 10 12 14 18 20 18 16 12 8 6 6 8 9 10 9 8 6 7 8 9 11 11 11 10 8 7 6 7 9 12 13 13 12 12 11 10 9 9 8 8 7 7 8 9 9 9 9 9 8 7 7 8 9 10 11 11 10 10 9 9 10 10 11 11 10 11 12 12 12 12 11 12 13 15 16 17 18 18 18 16 13 11 9 9 10 13 15 17 17 16 13 11 10 10 10 10 11 11 10 10 11 12 14 15 17 17 16 14 13 12 11 11 10 10 9 10 10 10 10 10 10 10 10 10 11 12 13 13 14 14 14 14 13 13 12 12 11 11 10 11 11 12 13 13 12 11 10 9 9 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 14 14 14 14 13 13 12 11 10 10 nan
nan 8 8 9 9 10 11 12 14 16 17 18 16 14 11 8 6 6 8 9 10 10 9 8 7 8 9 10 11 11 10 8 7 7 8 12 14 13 12 9 8 7 8 9 10 10 10 9 8 9 9 9 10 10 9 8 7 6 6 8 10 12 13 13 11 10 8 8 8 9 11 11 12 13 14 14 13 13 12 13 14 15 16 18 19 20 19 17 14 12 11 12 14 17 18 18 17 14 12 10 10 10 10 11 11 10 10 11 12 14 16 17 18 17 16 14 13 12 11 11 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 11 12 13 13 12 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 12 13 14 14 14 14 14 14 13 12 12 11 11 11 11 nan
nan 9 9 10 10 11 13 13 14 14 12 12 11 10 9 7 6 6 8 9 11 11 11 10 9 8 9 9 10 11 11 10 9 9 9 11 12 11 9 6 4 4 8 11 12 13 13 12 10 10 10 10 11 11 11 10 9 8 7 7 9 11 12 13 13 11 8 7 8 9 11 12 13 14 14 14 14 13 13 12 13 13 14 15 17 19 19 18 17 15 14 15 16 19 19 19 18 15 12 11 10 11 11 11 11 11 11 11 12 14 15 17 17 17 16 15 14 13 12 11 11 10 10 9 9 10 10 10 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 10 10 10 10 10 11 12 13 13 13 12 12 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 13 13 14 14 14 14 14 12 12 11 11 11 12 12 nan
nan 10 10 11 12 12 12 12 10 9 7 7 8 9 9 9 8 8 9 10 10 11 11 11 9 8 8 8 9 10 10 11 11 12 12 11 11 11 9 6 5 6 10 14 18 19 19 16 13 11 11 11 11 12 13 13 13 11 10 9 8 10 11 12 12 12 10 9 9 10 10 12 12 12 12 12 12 11 11 10 10 11 11 13 14 16 16 16 16 15 14 15 16 18 19 19 18 15 11 10 10 11 11 11 12 11 12 12 13 14 15 16 17 17 17 16 15 14 14 13 12 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 12 12 13 13 14 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 13 12 12 13 14 14 14 14 13 12 11 11 12 12 13 13 nan
nan 13 14 14 14 13 12 10 8 6 6 6 8 9 10 11 11 11 10 10 10 11 11 11 10 9 8 8 8 9 10 11 13 14 14 13 12 12 11 9 7 8 12 17 22 24 24 19 15 12 11 11 11 13 15 16 16 15 13 10 9 9 9 10 11 11 11 10 10 10 10 11 11 11 11 10 10 9 9 8 9 9 10 11 12 12 14 14 14 13 12 13 15 16 18 18 17 15 11 10 10 10 11 12 12 12 12 12 12 12 13 14 15 15 16 16 16 16 15 14 14 13 13 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 14 14 13 12 12 13 14 14 14 14 13 12 12 12 12 13 13 13 nan
nan 18 17 16 15 13 10 9 8 7 7 9 9 10 11 11 12 11 11 10 10 10 11 11 11 10 10 10 11 11 12 13 14 15 14 12 11 11 11 9 8 8 12 17 22 24 23 19 15 11 10 10 11 14 16 18 18 18 16 13 10 9 9 10 11 12 12 11 11 10 10 10 10 10 11 11 11 10 9 8 8 9 10 10 11 11 12 12 12 12 11 11 12 13 16 16 16 15 12 11 10 9 9 10 11 12 13 13 12 12 11 12 13 14 15 16 16 16 16 16 15 15 15 14 14 15 15 15 15 15 14 14 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 13 12 12 12 13 13 14 14 13 13 13 13 13 13 13 13 nan
nan 19 16 13 12 10 9 8 8 8 8 10 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 11 13 14 14 14 14 13 11 9 9 9 9 9 8 8 10 15 19 21 21 17 13 11 9 9 11 14 18 20 20 20 18 15 12 11 10 10 11 12 12 12 11 10 10 9 10 10 12 13 13 12 11 10 10 10 10 11 11 10 10 11 11 11 10 9 10 11 12 14 15 14 13 11 10 9 8 9 11 12 14 14 15 15 15 14 14 14 14 15 15 16 16 17 17 16 17 17 17 18 18 18 18 17 16 15 14 13 13 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 14 14 14 14 14 14 15 15 16 16 16 16 16 16 16 16 16 16 15 14 14 13 13 12 12 12 12 13 14 14 14 13 13 13 12 12 12 nan
nan 13 11 10 8 8 8 7 7 7 8 10 11 11 11 10 9 9 9 10 9 8 7 7 7 8 8 9 11 12 13 13 13 12 11 9 9 9 10 10 9 8 9 11 15 18 19 17 13 11 9 9 10 14 17 19 20 19 17 15 13 12 11 11 11 12 13 12 12 11 10 9 9 10 11 13 14 14 12 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 12 12 12 12 11 10 10 9 9 11 12 14 16 17 18 19 18 17 16 16 15 15 15 16 17 17 18 19 19 20 20 21 20 19 18 17 15 14 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 15 15 15 16 16 16 16 16 16 16 16 16 16 15 15 14 14 13 12 12 12 11 12 13 14 14 13 13 12 12 12 12 12 nan
nan 8 8 8 7 7 7 7 7 7 7 8 10 11 12 11 9 8 8 9 10 9 8 7 6 6 7 8 9 10 11 12 13 14 13 12 12 13 13 13 12 10 9 9 11 14 17 16 14 12 10 9 9 11 12 14 14 14 14 13 12 12 11 11 11 11 12 13 12 12 11 9 9 10 11 12 13 14 13 11 10 10 10 10 10 10 10 11 12 12 12 11 10 10 9 10 11 11 11 11 10 11 10 9 10 11 13 15 17 18 20 21 20 20 19 18 18 17 17 17 18 19 20 21 22 21 21 20 19 17 16 14 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 15 15 15 14 14 13 13 13 12 12 12 13 13 13 13 13 12 12 12 11 11 11 nan
nan 7 8 7 7 7 8 8 8 7 7 7 9 10 11 11 8 6 6 6 8 11 11 11 10 9 10 10 11 12 12 13 13 13 14 14 13 14 15 15 14 12 10 10 11 13 15 15 13 11 9 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 11 12 12 12 12 11 10 10 11 12 13 13 13 12 11 10 9 10 10 10 10 11 12 13 12 11 11 11 10 10 10 10 11 11 11 10 10 9 9 10 10 12 14 15 17 19 20 21 21 21 21 20 20 20 20 21 21 21 21 20 19 17 16 15 14 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 15 15 16 16 16 17 17 16 16 16 15 15 15 15 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 nan
nan 7 8 8 8 9 9 9 9 8 7 7 7 9 10 10 8 5 4 3 5 9 11 12 12 12 12 13 14 14 14 14 13 12 12 12 13 14 15 17 17 16 15 14 14 15 15 15 14 12 10 9 9 9 11 11 12 12 11 11 12 12 11 11 9 9 10 10 11 11 11 11 11 11 11 12 13 14 14 13 12 12 11 11 10 10 9 10 11 12 13 12 11 11 11 11 11 10 11 11 11 10 10 9 7 7 7 7 9 11 12 14 16 17 19 20 20 21 21 20 20 20 20 19 18 17 16 14 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 14 15 15 15 15 16 16 16 16 16 16 16 15 14 14 15 15 15 14 14 13 12 12 12 12 13 13 13 14 13 13 12 12 11 11 11 12 11 12 12 nan
nan 6 6 7 8 9 9 9 8 7 7 7 8 9 10 10 10 9 7 5 5 7 9 10 11 12 11 11 12 14 14 14 15 14 15 16 16 17 19 21 22 21 21 20 19 19 18 16 15 13 12 11 11 11 13 14 15 14 13 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 12 12 12 11 11 10 10 11 11 11 11 11 10 9 8 7 5 4 4 5 7 8 10 11 12 12 13 14 16 16 17 17 17 16 16 15 14 13 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 12 13 13 14 14 15 15 15 15 16 16 16 16 15 14 14 13 13 14 14 15 14 14 14 13 12 12 12 12 12 12 13 12 12 12 11 11 11 11 12 11 12 12 nan
nan 4 5 6 7 8 8 7 6 6 7 8 10 10 11 12 12 12 11 10 9 9 10 11 11 11 10 9 9 10 12 14 15 17 19 21 22 23 23 23 23 24 24 23 23 21 18 16 14 13 12 11 11 12 13 14 15 14 12 11 10 10 11 11 12 12 11 10 9 8 8 9 10 11 12 13 13 13 12 11 11 12 13 13 14 14 14 13 13 12 12 12 12 12 11 10 10 10 10 10 10 10 10 9 8 7 5 5 5 6 7 8 8 8 8 8 8 9 10 10 11 12 13 13 13 13 12 12 11 11 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 15 15 15 15 15 15 15 15 14 13 13 12 12 13 14 15 15 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 4 4 5 7 8 7 6 4 4 6 8 11 12 13 13 12 11 11 11 12 12 12 13 13 12 11 9 8 8 10 12 14 17 19 21 22 22 21 20 19 20 20 21 21 20 17 14 12 11 10 10 11 11 12 13 13 13 12 11 11 11 12 13 13 13 12 10 9 8 8 9 10 11 13 14 14 14 12 12 11 10 11 12 13 14 14 14 14 13 13 13 13 13 12 11 10 10 10 9 10 10 11 11 11 11 10 9 9 8 8 8 8 7 6 6 5 5 5 6 7 9 10 11 12 13 13 13 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 15 15 14 14 13 13 12 12 12 12 13 14 15 15 15 14 14 13 13 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 5 5 7 9 11 10 8 5 4 5 7 9 11 12 12 12 11 10 10 11 12 13 13 13 13 12 10 10 9 10 11 13 15 16 16 16 15 13 13 12 13 14 16 16 16 15 13 12 11 10 10 11 11 12 12 12 12 11 12 12 13 14 14 14 13 11 10 8 8 8 9 10 11 12 14 15 14 13 12 12 11 11 11 12 13 14 14 14 13 12 12 12 11 11 10 10 11 11 12 12 13 13 14 14 14 14 13 12 12 10 10 10 9 9 8 7 6 6 6 7 8 9 11 12 13 13 14 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 15 15 15 14 14 13 12 12 12 12 12 12 13 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 8 9 13 16 16 14 10 7 6 6 7 9 10 11 12 12 11 11 11 12 13 13 13 13 13 12 13 13 13 14 13 13 13 11 10 9 8 7 8 9 10 12 12 13 13 12 11 11 10 10 11 11 12 12 12 11 11 11 12 13 14 15 14 13 12 10 9 9 9 10 10 10 10 11 13 13 13 12 12 12 12 12 12 12 13 13 14 13 11 10 9 8 8 9 10 11 13 14 14 14 14 14 14 15 15 15 15 15 14 14 13 13 13 12 12 11 11 11 11 11 11 12 12 13 13 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 13 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 nan
nan 8 9 11 15 18 20 19 16 12 9 8 7 8 8 10 11 12 13 13 13 13 13 14 14 14 14 15 15 16 16 15 14 12 11 9 8 7 7 6 7 8 9 10 11 11 11 11 11 10 10 10 10 11 12 12 12 12 11 11 11 12 13 13 13 13 12 12 11 11 11 10 10 9 8 9 10 10 11 11 11 11 12 13 12 12 12 13 14 14 13 11 9 8 7 8 9 11 12 13 14 14 14 14 14 16 16 17 18 18 18 18 18 18 18 18 18 18 18 17 16 15 14 13 12 13 13 13 14 14 15 15 15 14 14 14 14 14 14 14 14 14 13 13 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 13 13 13 12 12 12 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 8 8 11 14 17 19 19 18 15 12 9 8 7 7 8 9 10 11 12 13 14 15 15 15 15 15 16 16 15 14 13 12 10 9 8 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 9 8 7 7 8 8 8 9 9 10 11 12 13 13 13 13 14 15 15 14 13 11 10 10 10 11 13 14 15 15 16 16 17 18 19 20 21 21 21 21 21 21 22 22 23 23 23 22 20 18 16 15 13 13 13 13 14 14 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 12 11 11 11 12 12 12 12 12 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 10 nan
nan 8 8 9 12 14 15 16 16 15 12 10 7 6 6 5 6 6 6 6 7 10 12 14 14 14 14 14 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 10 11 11 12 12 13 13 14 13 11 11 11 11 12 12 12 11 10 9 8 8 8 8 8 7 7 9 10 12 13 14 14 13 14 16 17 17 16 15 14 13 13 13 14 15 16 17 18 18 19 20 20 21 21 21 20 20 19 20 20 21 22 23 22 21 20 18 16 15 14 13 13 14 14 15 15 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 14 14 13 12 12 12 11 11 11 11 11 12 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 14 13 13 13 12 11 11 10 10 nan
nan 8 8 9 11 12 13 13 14 15 14 13 10 8 8 7 7 5 4 4 5 6 8 10 10 11 10 10 9 8 8 7 7 8 9 11 12 13 13 12 12 11 11 10 10 11 11 11 12 11 10 10 10 10 11 11 11 11 11 11 12 13 14 13 12 12 11 11 11 12 12 12 12 12 12 11 10 9 8 8 7 8 9 10 12 13 13 13 13 15 16 17 17 16 14 14 14 14 15 16 17 17 17 17 16 16 16 16 16 16 15 14 14 14 14 14 15 16 16 16 16 15 14 14 14 14 14 14 15 15 16 16 16 16 16 16 16 16 15 15 16 15 14 14 14 14 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 11 10 10 10 nan
nan 7 7 9 9 9 10 10 11 13 14 14 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 8 9 11 13 15 15 14 13 12 11 11 11 11 12 12 13 13 13 14 13 14 14 14 13 12 11 10 10 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 11 10 9 9 9 9 9 10 10 11 12 12 13 13 14 15 15 14 13 12 12 13 15 16 16 15 14 12 11 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 14 14 14 15 15 16 16 16 16 16 16 16 16 16 16 15 15 15 14 14 14 14 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 13 13 13 13 12 11 11 10 10 10 nan
nan 7 7 7 7 7 7 7 8 9 11 13 14 14 14 13 13 12 12 11 11 11 10 9 9 8 8 8 8 8 8 7 8 9 10 12 14 15 15 14 13 12 11 11 11 11 12 12 13 14 14 15 16 16 16 16 15 13 11 10 10 11 11 11 11 10 11 11 13 12 12 12 11 11 11 11 11 11 10 10 11 12 12 11 10 10 10 11 12 13 14 14 14 13 12 11 11 12 13 13 13 11 10 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 12 12 13 13 14 14 15 15 16 16 16 16 16 16 16 16 16 15 15 14 14 14 14 14 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 13 13 12 12 11 10 10 10 10 nan
nan 9 9 9 9 8 7 7 7 8 8 10 11 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 11 13 14 15 16 15 14 13 13 12 12 12 11 11 11 11 12 12 13 14 15 15 15 15 13 12 10 10 10 10 10 10 10 10 12 13 13 13 12 11 11 10 10 10 10 10 11 12 13 13 12 11 10 10 11 13 15 17 19 18 16 14 13 12 12 13 12 11 9 7 6 6 6 7 7 7 8 7 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 12 12 13 13 14 15 15 16 17 17 17 17 17 16 16 16 15 14 14 14 14 14 14 14 13 13 13 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 14 14 13 13 12 11 11 11 11 11 11 nan
nan 10 9 9 9 9 7 6 6 7 8 8 9 9 10 10 10 10 10 10 11 10 10 10 10 10 9 10 10 10 11 11 12 14 16 17 18 18 16 15 14 13 12 12 12 11 11 10 10 10 10 10 10 11 12 13 13 13 12 11 10 10 11 11 11 11 12 13 13 13 13 12 12 11 10 9 8 8 9 10 11 12 12 12 12 11 12 12 13 16 19 22 23 23 21 19 17 15 14 12 10 8 7 6 6 6 7 7 7 8 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 12 12 13 13 14 15 16 16 17 17 17 17 17 16 16 15 14 14 14 14 14 14 14 14 14 13 13 12 12 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 12 12 13 13 13 13 13 13 13 12 11 11 11 11 11 11 nan
nan 8 6 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 11 11 12 15 17 19 20 20 19 17 16 14 13 12 11 11 11 10 10 10 9 9 8 8 9 10 11 11 11 11 10 10 10 12 12 13 13 13 14 13 12 12 11 11 11 11 10 9 8 8 9 10 11 12 12 12 11 11 11 12 14 16 20 22 22 22 21 19 17 14 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 11 11 11 12 13 14 14 15 16 17 17 18 18 18 17 17 16 15 15 14 14 15 15 15 14 14 14 13 13 12 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 11 12 13 13 13 12 12 12 13 12 12 12 11 11 11 11 11 nan
nan 9 7 6 7 8 9 9 9 10 10 10 9 8 6 6 7 7 8 9 10 11 12 12 13 13 14 13 13 12 12 14 16 19 20 21 20 17 16 14 13 12 11 10 10 10 11 11 11 11 10 9 9 8 9 9 9 9 9 10 10 11 12 13 14 14 14 13 13 12 11 10 10 11 12 12 12 11 9 9 9 10 11 12 12 10 8 9 9 10 12 14 15 16 16 16 16 14 12 11 10 9 9 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 15 16 16 17 17 18 18 18 17 17 16 15 15 15 15 15 15 15 14 14 13 13 12 11 11 12 13 13 13 13 13 13 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 11 9 9 9 10 10 10 10 11 11 11 11 10 9 8 9 9 10 11 12 12 12 13 14 15 16 16 15 14 14 16 17 19 20 19 17 14 13 12 10 10 9 9 9 9 10 12 12 13 12 11 10 9 9 9 9 8 9 9 11 12 13 14 15 15 15 13 12 11 10 10 11 12 12 13 13 12 11 9 9 10 11 11 11 9 8 7 7 8 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 13 14 14 15 16 16 17 18 18 18 18 17 16 16 15 15 15 15 15 14 14 14 14 13 13 12 13 13 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 11 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 11 12 13 14 15 15 15 15 15 16 18 18 18 16 14 11 9 8 8 7 7 7 8 9 10 11 13 13 13 13 12 11 9 9 9 9 10 11 12 14 15 16 16 15 14 13 12 11 10 10 10 11 12 12 12 12 11 9 8 8 9 9 9 8 7 7 7 8 9 9 9 9 8 8 7 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 12 12 12 12 13 13 14 15 16 16 17 17 18 18 17 17 17 16 16 15 15 15 15 15 14 14 14 14 14 13 14 14 14 15 15 14 14 13 12 12 11 11 10 10 10 10 10 11 11 12 12 12 13 13 13 12 12 12 12 11 11 nan
nan 10 11 11 11 10 9 8 7 7 8 9 9 10 10 9 9 9 9 9 8 8 8 8 10 11 12 13 13 14 15 15 16 16 15 13 10 8 6 6 5 6 6 7 8 9 11 12 12 13 13 13 13 12 11 11 11 11 12 13 15 16 16 16 15 13 12 11 11 10 10 9 10 10 11 12 12 12 10 9 8 7 7 7 7 7 6 7 8 9 10 10 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 10 11 11 11 12 12 12 12 13 14 15 15 16 17 17 17 17 17 17 17 16 15 15 15 15 14 15 15 15 15 15 14 14 14 14 14 15 14 14 13 12 12 11 10 10 9 9 9 9 10 11 11 12 12 12 12 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
7 7 7 6 5 4 3 3 2 2 2 2 2 2 2 2 3 4 5 8 9 5 2 0 0 0 0 0 7 25 45 56 55 63 97 57 28 8 0 0 0 0 0 0 2 13 122 267 398 477 472 334 177 58 10 0 0 0 1 3 14 13 11 11 13 16 15 16 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 105 163 191 208 227 244 253 253 250 259 288 333 355 348 323 307 292 263 208 149 107 71 39 14 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 4 1 1 0 0 0 0 0 0 0 3 14 37 47 40 25 12 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 1 4 9 9 5 1 0 0 0 0 1 3 1
9 7 7 7 6 4 4 3 3 2 3 2 1 2 2 2 2 3 5 7 9 7 3 2 1 0 0 0 7 18 24 22 17 16 19 19 7 2 0 0 0 0 0 0 0 22 138 247 301 316 306 276 233 154 68 17 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 6 28 82 195 262 266 246 227 230 257 277 283 293 332 400 411 371 305 231 161 176 159 121 85 45 14 2 0 0 0 0 0 0 0 0 0 0 0 2 6 12 16 14 11 8 10 2 0 0 0 0 0 0 2 10 25 39 31 18 7 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 1 2 1 1 0 0 0 0 12 24 12
10 9 8 8 6 5 5 4 3 3 2 2 2 2 2 2 2 3 4 5 7 9 8 5 3 1 0 0 3 10 16 18 16 17 25 25 13 4 1 0 0 0 0 0 0 43 134 167 122 94 69 44 21 16 17 8 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 19 29 42 66 84 107 178 225 233 222 221 250 293 323 367 422 474 461 392 311 227 144 135 129 107 74 37 6 1 0 0 0 0 0 0 0 0 0 0 0 2 6 10 13 11 7 5 5 0 0 0 0 0 0 0 0 1 5 18 23 19 14 9 7 7 6 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 32 60 42
10 10 9 8 6 5 5 4 4 3 2 2 1 2 2 2 1 2 4 4 5 7 7 6 4 2 0 0 0 12 27 36 38 33 35 38 29 12 3 0 0 0 0 0 0 38 81 92 44 10 1 1 1 0 1 0 1 4 9 17 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 39 65 91 112 89 76 133 193 213 216 223 246 274 314 406 495 543 519 433 366 308 243 170 133 93 55 23 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 12 36 32 2 0 0 0 0 0 0 0 0 0 3 15 33 46 52 51 47 40 30 22 13 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 33 57 46
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