Vorticity
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nan 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 10 10 10 9 7 7 6 6 8 9 11 12 13 13 13 12 11 10 10 9 9 9 10 10 10 11 11 11 11 12 13 14 14 14 13 12 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 12 11 10 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 9 10 12 14 16 16 16 15 14 14 13 12 12 11 11 12 12 13 12 12 12 12 14 15 16 17 18 17 16 15 14 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 13 12 12 11 11 10 10 10 10 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 nan
nan 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 11 10 10 10 10 11 12 12 13 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 12 11 10 10 11 11 10 11 11 11 12 12 13 13 14 14 14 14 14 14 14 13 12 11 10 9 9 8 9 9 10 10 10 9 9 9 9 10 11 12 13 14 15 17 19 20 21 21 20 18 16 14 13 12 12 13 14 14 14 14 14 14 15 16 17 18 19 18 17 15 14 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 10 11 11 12 13 13 13 13 13 13 12 12 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 11 11 12 12 13 12 12 11 10 10 10 10 10 10 10 10 11 12 12 13 14 14 14 15 15 14 14 14 14 13 13 13 12 12 11 11 11 12 12 11 10 9 10 10 12 13 14 16 16 17 18 20 22 23 24 23 20 17 14 11 10 9 10 12 13 14 14 15 15 15 15 14 15 17 19 18 17 14 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 nan
nan 6 7 8 9 9 9 8 9 9 9 8 8 9 10 10 10 10 10 11 12 13 13 13 14 14 14 14 13 13 12 12 13 13 13 13 13 12 12 12 12 12 12 13 13 13 12 12 11 11 11 12 12 12 11 11 10 10 10 9 9 9 10 10 11 11 12 12 13 14 14 14 14 14 13 13 13 13 13 13 13 13 12 10 10 10 11 12 12 12 12 12 13 15 16 17 17 17 17 18 20 21 21 20 17 14 11 9 8 7 7 9 11 13 14 14 13 13 12 12 13 14 17 18 17 15 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 11 11 11 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 10 nan
nan 8 9 11 12 13 12 12 12 12 11 10 9 9 9 10 10 11 11 12 13 13 13 14 14 14 14 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 13 13 12 11 9 8 7 7 9 11 13 15 15 16 16 16 16 16 15 14 14 15 17 18 17 15 12 9 8 8 8 8 8 10 12 13 14 13 12 11 10 10 12 16 18 17 15 13 12 11 12 12 12 12 12 11 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 12 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 nan
nan 12 13 13 14 15 15 15 14 14 13 12 11 10 10 10 10 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 8 6 6 6 8 11 13 15 16 16 15 14 14 13 13 12 11 11 11 13 13 12 11 9 9 9 9 10 10 11 12 13 14 13 11 10 9 10 12 15 17 16 14 13 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 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 11 nan
nan 16 16 16 15 16 16 15 14 14 13 13 13 12 12 11 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 10 11 11 11 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 9 11 13 14 13 13 12 12 11 11 9 7 7 7 8 9 10 10 10 10 10 10 11 11 12 12 12 13 12 12 11 11 11 12 13 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 12 13 13 14 14 14 14 13 13 12 12 12 nan
nan 17 16 16 16 15 15 15 14 13 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 10 10 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 7 7 8 9 11 12 11 11 10 10 9 9 7 6 5 4 4 5 7 8 9 10 10 10 11 11 12 12 12 11 11 11 11 11 12 12 13 13 14 13 13 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 13 14 14 14 14 13 13 12 12 12 12 nan
nan 17 16 15 14 14 14 14 13 12 11 11 12 12 13 13 13 12 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 13 13 13 13 13 12 11 10 10 10 10 10 10 11 11 12 13 13 14 13 13 13 13 14 14 14 13 12 11 10 10 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 9 8 7 7 7 9 11 12 12 11 10 8 7 7 7 7 6 6 5 5 6 7 8 9 10 10 11 13 14 13 12 10 9 9 9 12 14 14 15 15 14 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 13 13 12 12 12 12 11 11 nan
nan 16 15 14 13 13 13 12 12 11 11 11 12 12 12 13 13 12 11 10 10 11 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 10 10 10 10 10 11 11 12 13 13 14 14 13 13 13 13 14 14 13 12 11 10 9 9 8 8 8 8 8 9 9 10 11 12 12 12 11 11 11 11 12 11 11 9 8 8 7 8 9 11 14 14 14 11 8 7 7 8 9 9 9 8 8 8 9 9 9 9 11 12 14 15 14 10 8 6 7 11 15 18 19 18 17 15 13 12 12 12 12 12 12 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 11 11 11 12 12 12 12 12 12 13 13 13 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 nan
nan 14 13 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 12 13 13 12 12 11 10 10 10 10 11 11 11 11 12 13 13 13 12 11 11 12 12 13 12 12 11 10 10 9 8 8 9 9 9 10 10 11 11 12 13 13 13 12 12 13 13 13 13 12 11 10 9 9 8 9 12 14 15 15 12 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 12 14 15 12 8 6 5 10 16 20 22 21 19 16 14 13 12 12 12 12 12 12 12 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 11 11 11 11 11 12 12 12 12 12 12 13 14 14 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 nan
nan 13 12 12 11 11 12 12 12 12 12 11 11 11 11 11 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 10 10 11 12 12 11 11 11 10 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 13 13 12 10 9 9 11 13 14 14 12 10 10 10 10 10 10 9 9 9 9 10 10 8 7 7 10 12 12 10 8 8 10 16 22 24 23 20 16 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 13 13 14 14 15 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 13 13 14 13 11 11 10 10 10 11 12 12 12 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 10 10 11 12 12 13 14 14 14 14 12 9 9 9 10 13 14 13 12 11 10 10 10 9 9 9 9 9 9 8 6 6 6 8 11 12 13 13 15 18 22 24 23 21 17 14 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 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 13 13 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 10 10 nan
nan 13 12 13 13 13 13 13 13 12 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 9 11 12 14 15 14 13 10 9 8 8 10 13 14 13 12 11 10 9 9 9 9 10 9 8 6 4 5 6 9 12 14 17 19 21 24 24 23 20 17 14 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 11 10 10 10 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 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 nan
nan 12 12 12 12 12 13 12 12 11 11 11 12 11 11 10 10 10 10 10 10 9 10 10 10 11 12 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 11 10 10 9 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 9 11 13 15 15 13 12 9 8 6 7 11 12 14 13 11 10 9 9 10 10 10 8 6 5 5 6 8 11 14 16 18 21 24 25 23 20 17 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 nan
nan 11 12 12 12 12 12 12 11 11 11 11 12 11 10 10 9 9 9 9 9 10 10 10 11 11 12 13 13 13 12 11 10 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 11 11 10 10 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 8 7 8 8 10 12 14 14 13 12 10 8 7 7 9 10 11 11 10 10 9 9 10 10 8 7 6 6 7 9 11 13 14 16 19 22 23 23 21 18 15 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 13 13 12 12 11 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 8 7 7 7 8 10 11 12 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 7 6 6 6 8 10 11 13 15 16 19 21 21 20 18 15 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 13 13 12 11 11 11 11 12 12 11 11 12 12 13 13 13 13 13 12 10 10 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 12 10 9 7 7 6 7 9 10 11 11 10 10 11 11 11 11 10 9 9 9 9 9 9 9 8 7 6 6 6 7 8 10 12 15 17 20 21 20 18 15 12 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 12 12 12 12 12 13 13 13 13 12 11 10 9 9 9 9 10 10 10 11 12 12 13 13 13 13 12 11 11 11 11 10 10 9 8 8 9 10 11 13 14 14 14 15 14 13 12 11 10 9 9 10 11 12 13 13 13 13 12 12 11 10 9 8 8 9 9 9 9 9 9 8 7 6 5 5 7 9 12 15 19 21 22 20 18 14 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 10 10 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 11 11 11 12 12 13 13 14 15 15 15 15 14 13 12 11 10 10 9 8 8 9 9 11 11 13 14 15 15 15 15 14 14 13 13 12 12 11 11 12 12 13 13 12 11 10 9 9 8 8 8 8 9 9 9 10 10 10 8 5 3 4 6 9 12 16 19 21 22 20 17 13 11 11 11 12 12 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 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 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 10 10 9 9 10 11 11 12 12 12 13 14 15 15 16 16 15 14 13 13 12 12 11 11 10 9 9 9 10 10 11 12 13 14 14 14 14 13 13 13 13 12 12 10 10 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 7 5 4 5 8 11 14 18 20 20 20 18 15 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 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 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 10 10 10 10 10 11 11 11 12 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 9 9 10 11 12 12 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13 12 11 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 10 9 9 9 10 11 11 11 11 11 10 9 8 8 7 7 7 7 7 8 8 8 7 7 8 9 11 13 16 19 20 20 18 15 13 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 nan
nan 10 10 10 10 11 11 11 12 12 12 13 13 12 12 11 11 10 9 9 9 9 10 10 10 11 11 10 10 10 9 9 9 11 13 14 15 15 14 12 12 12 12 13 13 14 14 14 14 13 12 12 13 13 13 12 12 13 13 13 14 14 14 13 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 8 9 10 11 13 14 13 13 11 10 8 7 6 7 7 7 7 8 8 8 8 8 9 9 10 11 13 15 18 19 19 19 16 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 nan
nan 11 11 11 11 11 12 12 12 13 13 13 12 11 11 10 9 8 8 8 8 10 10 11 11 11 11 10 10 9 9 9 9 11 13 14 15 15 15 14 14 13 13 13 14 15 15 15 15 14 13 12 12 12 12 11 12 12 13 13 14 14 14 13 13 12 12 12 11 10 9 9 8 8 9 9 9 9 9 9 9 9 10 11 12 13 13 12 10 8 7 6 6 6 6 6 7 8 9 9 9 9 9 10 10 11 12 15 17 18 19 18 17 14 12 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 12 13 12 12 12 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 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 nan
nan 12 12 12 12 12 13 13 13 13 13 12 11 10 9 7 7 7 7 8 9 10 11 12 12 12 11 10 9 9 9 9 10 10 12 13 13 13 13 12 12 12 13 13 14 15 16 15 15 13 12 12 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 12 11 10 8 8 8 9 9 10 11 11 10 10 10 11 11 11 10 9 7 6 5 5 6 6 6 7 8 9 9 10 10 10 10 10 11 12 14 16 17 17 17 15 14 12 11 11 11 12 12 11 11 11 11 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 12 12 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 nan
nan 13 13 13 13 12 12 13 12 12 11 11 10 9 8 6 6 6 7 9 10 11 12 12 12 11 10 9 9 9 9 9 9 10 10 10 11 11 11 11 12 13 14 14 15 15 15 14 13 11 11 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 12 13 13 12 12 11 10 9 10 10 12 13 13 12 11 10 10 10 10 10 9 8 7 6 6 6 7 7 7 7 8 9 9 10 10 10 11 11 12 13 15 16 16 16 14 13 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 13 12 12 12 12 12 12 12 12 13 13 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 12 12 12 12 12 11 11 11 11 11 11 nan
nan 13 13 12 12 11 11 10 10 10 10 10 10 9 8 7 7 8 9 11 12 12 12 12 11 10 9 8 8 8 8 9 9 9 10 10 10 10 11 12 13 14 15 15 14 14 13 12 11 10 10 10 9 9 9 9 10 10 10 10 11 11 10 10 10 11 12 12 12 12 12 11 11 11 11 12 13 13 13 11 10 10 9 10 10 10 10 10 9 8 7 7 7 8 8 8 9 9 10 11 11 12 12 13 14 14 15 16 15 15 13 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 13 14 14 13 13 12 12 12 12 12 12 13 13 13 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 10 10 11 11 12 12 11 11 11 11 11 nan
nan 11 12 12 11 10 9 9 8 8 8 9 9 10 9 8 9 10 12 13 13 12 12 11 10 9 9 8 8 8 8 9 10 10 10 10 10 10 11 12 13 14 14 14 14 13 13 12 11 10 10 10 9 9 10 10 10 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 8 8 9 9 9 10 10 12 13 14 15 15 15 15 14 14 14 14 13 13 12 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 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 12 nan
nan 10 11 10 10 9 9 10 9 9 8 8 10 11 12 12 13 13 14 14 13 12 11 10 10 9 9 8 8 8 8 9 10 10 11 10 10 10 11 11 12 13 14 14 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 11 11 12 13 14 15 16 16 16 16 15 14 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 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 nan
nan 11 11 11 10 10 10 12 11 11 10 9 10 12 13 15 16 16 16 15 13 12 10 10 10 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 12 13 13 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 13 13 14 14 15 15 15 15 15 14 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 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 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
15 9 4 1 0 0 0 0 0 0 1 5 13 23 33 40 42 47 59 80 107 135 158 171 172 164 152 155 177 188 156 132 145 204 274 339 363 343 290 230 245 391 547 659 728 715 644 548 471 458 474 487 484 458 409 338 259 186 123 70 42 29 22 18 14 11 9 8 10 15 20 26 33 39 47 59 65 65 58 45 33 27 21 17 13 12 10 8 7 6 5 5 5 4 4 3 3 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 1 1 3 8 14 18 21 23 25 25 24 21 18 17 16 14 12 10 9 8 8 11 10 8 6 3 1 0 0 0 0 1 0 1 2 2 3 3 7 12 17 19 19 22 24 21 16 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0
13 4 1 0 0 0 0 0 0 0 2 9 19 29 35 30 25 28 40 61 94 134 180 220 241 250 235 223 231 240 207 208 235 275 308 328 321 297 277 292 416 541 627 666 666 617 533 447 386 363 349 336 327 318 303 269 217 162 112 73 43 29 20 15 12 11 11 10 11 14 18 23 28 35 43 54 62 62 55 44 33 27 20 16 14 12 10 9 8 7 5 5 5 4 4 4 4 3 3 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 3 3 2 1 3 6 12 21 29 35 36 33 29 25 22 21 21 21 20 18 18 16 13 11 9 7 6 6 5 3 1 0 0 1 3 6 7 6 5 5 9 14 17 17 15 12 11 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 3 0 0 0 0 0 0 0 0 4 14 28 35 30 16 9 9 17 36 71 126 192 245 276 318 355 382 394 378 319 298 293 298 304 312 322 344 388 466 600 641 642 612 559 488 417 348 296 263 233 205 183 165 146 116 82 51 33 28 28 26 21 17 15 16 16 14 12 12 13 17 20 26 33 43 49 45 39 33 31 27 22 18 15 13 11 9 7 6 5 5 5 5 4 4 4 3 3 3 3 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 2 7 8 12 19 26 26 26 28 29 29 26 28 30 30 28 29 29 26 20 14 11 8 8 7 6 3 2 1 4 9 17 23 18 11 6 4 4 3 2 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 3 0 0 0 0 0 0 0 1 4 14 28 29 16 5 1 1 7 25 64 151 235 286 307 339 394 450 484 476 415 361 325 307 309 331 380 451 543 635 687 673 632 565 479 385 314 248 200 163 128 95 70 49 31 14 8 9 12 16 21 24 25 24 23 22 21 18 13 11 10 13 14 17 22 29 32 31 31 31 32 29 24 20 16 13 11 9 6 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 2 6 12 15 14 14 16 20 23 26 30 33 34 35 36 31 25 21 18 14 11 8 4 2 4 4 5 8 14 19 22 15 8 3 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
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9 0 0 0 0 0 0 0 0 1 3 8 21 12 2 0 0 0 7 35 95 201 291 337 345 331 316 341 391 437 459 432 388 359 352 375 433 551 623 664 676 665 624 549 434 298 172 108 68 40 20 7 5 3 3 2 2 3 3 4 6 9 11 15 18 19 19 16 13 9 6 5 6 9 12 17 23 29 34 36 33 29 24 19 15 12 9 6 5 5 5 5 5 5 4 4 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 1 2 2 2 2 1 1 2 3 4 5 7 9 9 8 8 9 10 9 6 5 5 9 20 32 22 14 10 10 6 2 1 1 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
3 0 0 0 0 0 0 0 0 1 4 14 35 18 6 1 0 0 4 22 82 189 282 324 331 315 290 279 295 322 349 367 371 362 356 368 417 544 630 688 721 723 685 592 440 274 142 80 45 22 9 4 4 4 3 3 3 3 3 3 3 4 5 6 8 11 13 14 12 8 5 5 7 10 14 19 24 30 35 36 33 28 22 17 13 10 8 6 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 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 1 0 0 0 1 4 8 11 15 16 15 10 8 7 6 6 7 8 10 11 16 28 45 32 22 15 10 7 4 5 5 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
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