Vorticity
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nan 37 39 40 39 38 34 30 25 20 16 15 15 16 17 17 17 18 19 19 20 20 19 16 12 7 5 3 2 3 4 5 7 8 9 10 10 9 9 8 8 8 9 12 14 15 16 15 13 11 11 12 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 10 10 11 10 10 10 11 13 14 14 14 13 12 12 12 12 12 11 11 10 10 9 9 10 10 11 11 12 13 13 12 11 10 9 9 9 10 11 12 14 15 15 15 15 14 13 12 11 11 12 13 15 16 16 14 13 11 10 11 13 16 16 15 14 12 10 9 8 8 8 7 7 7 7 7 8 9 10 12 12 11 11 10 9 9 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 10 11 11 11 10 10 9 10 10 10 10 10 10 nan
nan 39 36 31 27 24 23 22 20 19 17 15 15 16 17 18 19 21 22 21 19 16 13 8 4 1 0 1 2 3 5 7 7 8 9 9 9 9 8 8 8 8 9 10 12 13 14 13 11 10 11 12 14 14 13 12 11 11 11 11 12 12 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 10 12 13 13 13 13 12 13 13 13 12 11 10 8 8 9 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 11 12 13 14 14 14 14 14 12 11 11 12 13 15 17 17 15 14 12 11 12 14 15 15 13 12 10 8 6 5 4 4 4 3 3 3 4 6 7 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 10 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 nan
nan 33 28 22 18 17 18 18 18 18 16 12 9 7 7 9 12 17 19 19 16 13 8 5 3 2 3 4 6 7 8 9 9 9 9 8 7 7 8 8 9 9 9 10 10 11 11 11 10 10 11 12 13 13 13 11 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 9 9 9 8 9 10 12 12 12 12 12 13 13 13 13 11 9 8 8 9 11 12 12 12 11 10 10 10 10 10 10 9 9 9 10 10 11 12 13 14 15 15 15 15 14 13 12 12 13 15 16 17 16 15 14 13 13 14 14 13 12 10 8 6 5 4 3 3 3 3 3 3 4 6 7 8 8 7 7 6 6 7 6 7 8 8 8 8 8 8 8 8 9 10 10 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 nan
nan 25 20 16 14 14 15 16 16 14 11 6 -1 -7 -8 -5 5 15 19 20 18 14 10 7 5 6 7 8 9 10 10 10 10 10 9 7 7 7 7 8 9 10 10 10 9 10 10 10 10 10 12 12 13 12 11 10 9 9 9 9 9 9 10 12 13 12 11 10 8 8 9 9 9 10 10 9 9 8 8 8 9 10 10 10 10 11 12 13 13 12 11 8 7 7 8 10 12 13 12 10 9 9 10 11 11 10 9 9 10 10 11 13 15 15 16 16 16 17 16 15 14 13 13 13 14 16 16 16 16 15 14 13 13 13 12 11 9 7 6 5 5 5 6 7 7 7 7 8 9 10 9 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 9 10 11 12 13 13 13 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 nan
nan 17 14 12 12 13 13 13 12 11 7 1 -6 -11 -12 -7 6 21 27 27 24 19 13 9 7 8 10 11 12 12 12 11 11 10 9 8 7 7 7 8 8 9 9 9 9 9 9 10 10 11 12 14 14 14 12 10 9 8 8 8 8 8 9 11 13 14 12 9 7 7 8 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 11 12 12 11 9 7 6 5 6 8 11 13 13 11 9 9 9 10 11 10 10 10 10 11 13 15 16 17 16 17 17 17 17 16 14 13 13 13 14 15 16 16 16 16 15 14 13 12 11 10 8 6 5 5 6 8 10 12 14 14 14 14 14 13 12 10 10 10 10 10 9 8 7 8 8 8 8 8 7 7 8 9 11 13 14 14 13 12 12 12 12 13 12 12 12 12 11 11 10 10 10 11 nan
nan 13 12 12 13 13 13 11 10 8 6 3 -1 -3 -1 6 18 30 34 32 28 21 14 11 10 10 11 12 13 13 13 12 12 11 11 9 7 7 7 8 8 8 7 7 8 9 10 10 11 12 13 14 15 15 14 12 11 10 9 9 9 8 9 10 12 13 12 10 9 9 9 10 10 9 9 9 10 11 12 12 11 10 10 9 10 11 11 11 11 10 9 7 6 6 7 8 11 12 13 11 10 9 9 9 9 9 9 10 10 11 13 14 16 16 16 16 17 17 16 15 14 13 12 13 14 15 16 16 16 16 15 14 13 11 10 9 6 5 5 6 8 11 13 16 19 20 20 20 18 17 15 14 14 14 14 14 13 12 11 10 9 9 8 7 7 7 7 8 9 11 12 13 13 12 13 13 13 13 13 12 12 11 11 10 10 10 11 11 nan
nan 12 12 13 13 13 12 10 8 7 6 5 5 7 10 17 26 31 32 30 26 21 16 12 11 11 12 13 14 14 13 12 12 12 12 12 10 9 8 8 7 7 7 7 9 10 12 12 12 12 13 14 14 14 14 13 13 12 12 12 11 10 9 10 10 11 12 12 13 13 13 13 12 10 10 9 10 12 13 14 14 12 11 10 10 11 11 11 10 9 8 8 8 9 10 11 12 13 12 12 10 9 9 9 9 9 9 9 10 11 13 14 15 15 16 16 16 16 15 14 13 13 13 13 14 15 16 16 17 16 15 14 12 11 9 8 6 5 6 8 11 14 17 19 22 23 23 23 21 19 18 17 16 16 17 16 16 14 13 12 11 10 9 8 8 8 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 11 10 9 10 10 11 12 nan
nan 12 12 12 12 11 10 9 8 7 7 7 9 11 14 18 22 25 26 26 24 21 18 14 12 12 13 14 14 14 12 11 11 11 13 14 14 11 9 8 7 6 7 8 10 12 13 13 12 12 12 12 12 12 12 12 12 12 13 12 12 11 11 10 10 10 12 14 16 17 16 16 14 12 10 10 10 11 13 14 14 12 11 10 10 11 12 12 11 9 8 8 10 12 13 14 14 13 12 11 10 9 8 8 9 9 9 9 10 12 14 14 15 15 16 17 17 15 14 13 13 13 13 14 15 16 16 17 17 16 15 13 12 10 8 7 7 8 9 11 14 16 18 20 21 22 23 22 20 19 18 17 17 17 18 17 16 15 14 12 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 12 12 12 11 10 9 9 9 10 12 13 nan
nan 9 9 9 9 9 9 9 8 8 8 9 10 12 14 16 19 21 22 22 22 20 18 16 14 13 13 14 14 13 11 10 10 11 13 14 14 12 9 7 6 7 7 9 10 12 13 13 12 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 10 10 12 14 16 17 17 16 14 12 11 10 10 11 13 13 12 11 10 10 11 12 14 13 12 10 7 8 11 13 14 14 14 13 11 10 8 7 7 7 9 9 10 11 11 12 14 15 15 16 16 17 17 15 13 12 12 12 13 14 15 16 16 17 17 17 15 13 12 10 8 7 8 9 12 14 15 17 18 19 19 20 20 19 18 16 16 17 17 17 17 16 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 10 11 12 13 nan
nan 6 7 8 8 9 9 9 9 9 10 11 12 13 15 16 18 20 21 21 20 19 18 18 17 15 15 15 13 11 10 9 9 9 10 12 12 11 10 8 7 8 9 10 10 11 12 12 11 10 10 10 10 10 10 11 12 12 12 13 14 14 13 12 10 9 11 13 14 15 15 14 13 11 10 10 10 11 12 12 11 11 10 10 12 13 14 13 11 9 7 9 11 13 14 14 14 13 12 9 7 6 6 7 9 10 11 12 13 13 14 15 15 16 16 16 16 14 12 12 11 12 13 14 14 15 16 17 17 16 15 13 12 10 8 7 8 9 11 13 15 16 17 17 18 18 17 16 15 15 15 16 16 16 15 15 15 14 13 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 11 12 13 13 13 nan
nan 8 11 13 12 11 11 10 10 10 11 12 14 15 16 16 17 18 19 19 19 19 19 19 18 17 15 14 12 11 10 9 8 9 9 9 9 9 9 9 10 11 12 13 12 12 11 11 10 10 11 11 12 12 13 13 14 14 14 15 15 15 14 13 11 10 10 11 12 12 13 12 11 10 10 10 10 11 12 12 12 11 11 10 12 13 13 12 10 8 8 9 12 13 14 14 14 12 11 9 7 6 5 7 8 10 12 13 15 16 16 15 15 15 15 15 14 13 12 11 11 12 13 13 14 14 15 16 16 16 15 14 13 11 8 7 7 9 10 12 14 15 16 16 17 17 16 15 14 14 14 15 15 15 15 16 16 15 13 12 11 12 12 12 12 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 nan
nan 21 21 20 17 13 11 10 10 10 11 12 14 16 16 16 16 16 16 18 18 19 19 19 18 16 14 13 11 10 9 9 9 9 8 7 8 8 8 10 12 14 16 16 16 15 12 10 9 10 11 13 14 15 15 15 15 15 15 15 16 15 14 13 11 10 10 10 10 11 11 11 11 11 10 10 10 11 12 13 13 12 11 10 11 12 12 11 9 8 9 10 13 14 14 14 12 11 9 8 7 6 6 7 9 10 11 13 15 16 16 15 15 15 15 14 14 13 13 12 13 13 14 14 15 15 15 15 16 16 16 16 14 12 9 8 8 9 10 12 13 14 15 16 16 16 16 15 15 15 15 15 15 14 15 16 16 16 14 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 12 12 13 13 13 13 13 12 nan
nan 31 29 23 16 12 10 9 9 9 10 11 12 14 15 15 14 15 16 17 19 20 20 19 17 15 12 10 8 8 8 9 10 9 8 7 7 7 7 8 11 15 18 18 18 16 13 10 9 9 11 13 14 14 15 15 15 14 13 13 12 13 13 13 12 12 12 13 12 12 12 12 12 12 11 11 11 12 13 14 13 12 11 10 10 10 9 9 8 7 10 12 13 14 14 12 11 9 8 8 7 7 8 8 9 10 12 13 15 16 16 16 15 14 13 13 13 13 14 14 14 15 16 16 16 17 17 17 17 17 17 17 16 14 12 10 10 10 11 12 13 14 15 16 16 17 17 17 17 17 16 15 15 14 15 16 16 15 15 15 14 14 14 13 13 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 nan
nan 30 27 20 14 11 9 9 9 9 8 8 10 11 13 15 15 16 17 18 20 21 21 19 16 13 11 9 6 4 4 5 7 9 10 9 7 6 6 8 11 14 17 17 17 15 12 9 8 8 8 10 10 11 11 11 12 11 10 9 9 9 10 12 13 14 15 16 16 15 14 14 13 13 12 12 11 12 13 13 12 11 11 9 9 8 7 7 8 9 11 13 14 14 13 11 9 8 8 8 8 8 8 8 9 10 11 13 15 15 16 15 14 13 12 11 12 13 13 14 15 15 15 15 16 17 17 17 17 17 18 18 18 17 16 15 14 13 13 13 13 14 15 15 16 17 18 18 18 18 17 15 14 14 14 14 14 14 15 16 16 15 14 13 12 11 10 10 10 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 11 11 10 10 nan
nan 23 20 16 13 10 10 10 10 9 7 7 9 11 14 16 18 19 18 18 18 19 19 17 15 13 12 10 8 4 2 2 3 5 8 10 9 8 7 9 11 13 14 14 13 13 11 9 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 11 13 14 15 16 16 16 14 13 12 12 12 12 12 11 11 10 9 8 7 8 8 8 8 10 12 14 14 13 13 12 10 9 8 8 8 8 9 9 9 9 9 10 11 12 13 14 14 14 13 11 10 10 11 12 13 13 13 13 13 13 14 15 16 17 17 18 18 19 19 18 17 16 15 14 13 13 13 14 14 15 16 16 17 16 16 15 15 14 14 13 13 13 14 15 15 15 15 14 13 12 11 10 10 10 9 9 10 11 12 13 13 13 13 13 12 12 12 11 11 11 10 10 10 nan
nan 17 15 13 11 10 10 10 10 9 8 9 11 14 16 18 20 20 18 16 15 14 15 15 14 14 14 14 14 10 6 3 2 4 7 8 9 9 10 12 13 14 13 12 12 11 11 10 10 9 9 8 8 7 7 6 7 8 9 11 11 10 10 9 9 9 11 12 14 15 15 13 12 11 11 11 12 13 12 11 10 8 8 7 8 10 10 11 12 13 14 13 11 10 9 9 8 8 7 7 8 9 9 10 10 9 9 9 10 11 12 13 13 13 12 10 10 10 10 11 12 12 12 12 11 11 12 14 15 17 18 18 18 18 17 17 16 16 14 13 12 12 13 13 14 14 14 14 13 13 14 14 14 13 13 12 12 13 14 14 14 14 14 13 13 12 12 11 10 9 9 10 10 11 12 12 13 13 13 12 12 11 11 11 11 10 10 10 nan
nan 15 14 12 10 10 10 10 9 8 9 11 13 16 17 18 18 17 16 15 13 13 13 14 13 14 15 17 18 17 14 9 7 6 8 9 10 11 13 15 16 16 15 13 12 11 11 12 12 12 11 10 10 9 8 8 7 8 9 11 11 12 11 10 10 9 10 11 12 13 14 12 11 10 10 11 12 13 13 12 11 10 10 11 11 12 12 12 13 13 12 10 9 7 7 7 7 7 7 7 8 9 10 11 12 12 11 11 10 11 11 12 13 13 12 11 11 10 10 11 11 12 12 12 11 11 11 13 14 15 16 17 17 16 16 16 15 15 14 13 12 11 11 12 12 12 12 12 12 12 13 13 12 12 12 11 11 11 12 12 13 13 13 13 14 14 13 13 11 10 10 10 10 11 11 12 12 12 11 11 11 10 11 11 10 10 10 10 nan
nan 13 12 11 10 11 11 11 10 9 10 12 14 16 16 15 13 12 12 13 13 13 14 14 13 13 15 17 19 20 19 17 14 12 12 12 13 14 16 18 18 18 16 15 14 13 12 12 12 12 12 11 11 10 9 9 8 8 9 10 11 12 12 12 11 11 10 11 12 13 13 12 11 10 10 10 10 11 11 11 12 13 14 14 14 14 13 12 12 11 10 9 7 6 6 6 7 7 8 8 10 11 12 13 14 15 15 15 13 12 12 12 13 13 13 12 11 11 11 11 12 12 12 12 13 13 12 12 13 13 14 15 15 15 15 15 15 15 14 12 12 11 11 11 11 11 12 12 11 12 12 12 11 11 10 10 9 8 9 10 11 12 13 13 14 14 14 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 12 11 10 11 12 13 14 14 13 12 13 14 14 15 13 11 10 10 11 13 14 15 14 13 13 14 15 17 18 19 19 18 16 15 14 14 15 17 19 19 18 17 16 14 13 12 11 11 11 11 11 11 10 10 9 8 8 9 10 11 11 12 12 12 11 11 11 11 12 12 12 12 12 11 11 9 9 9 9 11 14 16 16 15 14 12 11 10 9 8 7 6 5 5 5 6 8 9 10 11 12 13 14 15 16 17 17 15 14 13 12 13 13 13 13 12 12 12 12 13 13 14 14 14 14 13 12 12 11 12 13 15 15 15 15 15 15 14 13 12 12 11 11 11 12 12 11 11 11 12 11 11 10 9 8 8 7 7 8 9 10 11 12 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 nan
nan 10 10 10 11 13 15 17 17 16 14 13 13 13 14 13 12 11 11 11 12 14 15 14 14 13 13 13 14 15 15 16 16 15 14 14 14 15 17 18 18 17 16 15 14 13 12 11 11 11 11 11 11 10 9 9 8 9 10 11 11 12 11 12 12 12 12 12 12 12 12 12 13 13 13 12 11 10 10 10 11 14 15 15 15 13 12 10 8 7 6 5 5 4 4 5 6 8 10 12 12 12 12 13 14 16 17 17 15 14 13 12 13 13 14 13 13 12 13 13 14 15 15 15 15 14 13 13 11 11 11 13 14 15 16 16 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 8 9 9 9 9 10 10 11 12 12 13 13 13 13 12 12 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 nan
nan 9 9 9 9 11 14 17 19 17 15 14 13 13 14 14 15 14 14 14 14 14 15 14 14 13 12 11 11 11 12 12 12 12 13 14 15 16 16 15 15 15 15 15 14 13 13 12 11 11 12 12 13 12 10 9 9 9 10 11 11 11 11 12 13 13 13 13 12 12 12 12 13 13 13 13 13 12 12 12 12 13 14 14 13 12 11 9 7 6 5 4 3 3 3 4 6 8 9 11 12 12 13 13 14 16 16 16 15 14 13 13 13 14 14 14 13 13 13 14 15 15 16 16 16 15 14 13 12 12 12 12 13 15 16 17 16 15 14 14 13 13 12 12 12 12 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 9 9 10 11 11 12 12 13 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 10 10 9 10 nan
nan 10 9 7 7 9 11 15 18 18 16 14 12 12 12 14 15 17 17 17 16 15 14 13 13 12 11 10 10 10 11 11 12 13 14 16 16 16 15 15 15 15 15 15 14 13 11 11 10 11 12 14 15 14 13 12 10 9 9 9 9 9 10 12 14 14 14 14 12 12 12 12 13 13 14 14 13 13 13 12 13 14 14 13 12 10 8 8 7 7 6 5 5 4 4 5 7 8 10 11 13 13 14 14 14 15 15 15 14 14 13 13 13 13 14 14 13 12 12 13 14 14 16 16 16 15 15 14 14 13 13 13 13 15 16 17 16 15 14 13 13 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 10 10 9 9 nan
nan 11 9 6 6 7 10 13 17 19 17 15 13 11 10 12 15 17 18 18 16 13 11 12 12 12 12 11 11 11 12 13 15 16 16 16 16 15 15 16 16 16 16 15 13 11 9 8 8 9 11 13 14 14 14 13 12 11 11 10 9 9 9 12 13 14 14 13 11 11 12 14 14 15 14 13 12 12 11 12 13 14 13 11 9 8 7 8 9 9 10 9 8 7 7 7 9 10 11 12 13 13 14 14 14 15 15 14 14 13 13 13 13 13 13 12 12 12 12 12 13 14 15 15 16 16 16 15 14 14 13 13 14 14 15 16 15 14 13 12 12 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 11 10 9 9 9 nan
nan 11 10 8 8 9 11 13 16 18 17 16 15 13 12 12 13 14 15 15 14 11 11 12 13 14 15 14 14 15 15 16 17 17 15 14 14 14 15 16 18 17 16 15 12 10 8 7 7 7 9 10 10 10 10 10 12 13 14 13 12 11 11 11 12 13 13 11 10 10 11 14 15 17 15 14 12 11 11 10 11 10 9 7 5 4 5 7 10 11 13 13 12 10 9 9 9 10 11 12 13 13 14 14 15 15 14 14 14 13 13 13 13 13 12 12 11 11 12 12 13 14 14 15 15 16 15 15 14 14 13 13 13 13 14 14 14 13 12 11 11 12 13 13 12 12 11 10 10 9 9 9 10 10 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 13 13 13 12 12 12 12 12 11 11 10 10 9 9 nan
nan 11 11 10 10 11 12 13 13 13 14 14 15 15 14 13 11 10 11 11 11 11 12 12 13 15 15 15 15 16 17 18 18 16 13 11 11 11 13 16 17 17 16 15 13 11 9 8 8 7 7 6 5 5 5 7 9 12 14 14 14 12 11 11 12 12 12 11 9 8 9 12 14 17 17 16 14 12 10 9 8 6 4 2 1 1 3 6 9 12 14 14 13 10 9 9 9 10 11 12 13 13 14 15 15 15 14 13 13 13 13 14 14 13 13 12 11 11 12 12 13 14 14 15 15 14 14 13 13 13 13 12 12 12 13 14 13 12 11 10 11 11 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 13 13 12 12 12 12 12 11 10 9 9 9 nan
nan 11 11 12 11 11 11 10 9 9 9 11 13 14 14 12 10 9 9 9 11 12 12 13 13 13 13 13 14 15 16 17 17 14 12 10 9 10 13 15 16 16 15 14 12 11 11 10 10 10 9 7 5 5 4 5 7 9 11 12 12 11 11 11 12 12 12 11 8 7 8 9 12 15 17 15 13 10 8 7 7 7 5 3 1 0 2 4 7 10 12 13 12 11 9 9 9 10 11 13 14 14 15 15 15 15 14 13 13 13 14 15 15 14 14 13 12 12 13 13 14 14 15 14 14 14 13 13 12 12 12 12 12 12 13 13 12 12 11 11 10 11 11 12 12 12 12 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 11 12 12 13 13 14 14 13 13 12 12 11 10 10 9 9 9 nan
nan 11 11 11 11 10 9 9 8 8 9 10 12 13 13 12 10 9 9 10 11 12 12 12 12 12 12 12 12 13 14 15 14 12 11 10 10 11 14 15 15 15 13 12 11 11 11 12 13 13 13 12 10 8 7 6 7 8 9 10 11 11 10 10 11 11 12 11 10 8 8 9 10 13 14 13 11 9 8 8 9 10 9 8 5 3 3 4 6 9 12 14 14 13 12 10 10 11 12 13 14 16 16 17 16 16 15 14 13 13 14 15 15 15 14 14 13 13 14 14 15 15 15 14 14 13 13 13 13 12 12 12 12 13 13 14 13 13 12 11 10 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 9 10 11 11 12 12 13 14 14 15 14 13 13 12 11 10 10 10 9 9 nan
nan 10 10 10 9 9 8 9 9 10 11 12 12 14 14 12 11 10 9 9 10 11 12 12 12 11 11 11 12 13 13 13 12 10 10 10 11 13 15 15 14 13 12 10 10 10 11 13 14 15 16 15 14 12 10 9 8 9 9 10 10 10 9 9 10 11 12 13 12 11 10 10 10 11 11 9 8 8 9 11 13 13 11 9 7 5 6 6 8 10 13 16 17 16 15 13 12 12 13 14 15 15 16 16 16 16 15 14 13 12 13 14 14 14 14 14 13 13 14 15 15 15 15 14 14 13 13 13 14 14 14 13 14 14 15 15 14 13 12 11 11 12 13 14 14 14 13 13 13 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 8 9 9 10 10 11 12 12 12 13 14 14 14 14 13 13 12 11 11 11 10 10 10 nan
nan 9 9 9 8 8 8 9 10 12 13 13 13 14 13 12 11 9 9 9 10 11 12 12 12 11 11 11 12 12 13 12 12 11 11 11 12 13 14 14 13 12 11 10 10 10 10 11 12 13 14 14 14 14 13 11 11 11 11 11 10 8 7 7 8 11 13 15 16 14 12 12 11 10 8 6 6 8 11 14 14 12 10 7 5 5 7 9 10 11 13 15 16 17 16 15 13 13 14 14 14 14 14 14 14 13 13 12 11 11 12 13 13 13 13 13 13 13 13 14 14 15 15 14 14 14 14 15 15 15 15 15 15 15 15 15 14 14 13 12 12 14 15 15 15 14 14 14 13 13 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 12 12 13 13 13 13 14 14 13 13 12 12 12 12 11 11 10 nan
nan 9 10 10 9 9 9 9 10 11 12 13 13 13 13 12 11 10 9 9 10 12 12 12 12 11 11 11 11 12 13 13 13 13 12 12 13 14 14 14 13 13 12 10 9 9 8 7 7 8 9 11 12 12 11 12 13 13 13 12 10 6 3 5 8 11 15 17 17 15 13 12 10 8 7 6 7 9 12 13 11 8 6 5 5 6 9 10 11 12 12 14 15 15 15 14 13 13 13 13 13 13 13 12 11 11 12 12 12 12 12 13 13 14 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 16 15 15 15 15 15 15 15 14 13 13 14 15 15 15 15 14 14 14 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 13 13 12 12 11 11 11 nan
nan 10 11 12 12 11 10 9 9 10 10 10 11 12 13 14 14 13 12 12 12 13 13 13 13 12 12 11 11 12 12 13 14 14 14 14 14 14 14 14 13 12 11 9 7 6 5 5 5 6 8 9 10 10 10 11 12 12 12 10 7 4 3 5 8 12 15 15 15 15 13 11 8 7 8 9 10 11 11 9 6 4 3 3 6 9 10 11 12 12 13 13 13 13 13 12 12 12 12 12 13 13 12 11 11 12 12 13 14 13 12 12 13 13 13 13 13 13 13 13 13 13 14 14 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 15 15 15 14 14 14 13 13 13 12 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 10 10 11 12 13 13 13 13 13 14 13 13 12 11 11 11 nan
nan 11 13 14 14 13 12 11 10 9 8 8 9 11 13 15 16 16 15 14 14 14 14 13 13 13 12 12 11 11 11 12 13 14 15 16 16 15 15 14 13 12 10 7 5 4 4 5 6 8 10 10 11 11 11 11 10 9 9 8 6 6 8 10 11 12 13 13 13 12 10 8 7 8 10 12 12 12 9 6 3 2 2 4 7 10 12 13 14 14 14 13 12 12 11 11 11 12 12 12 13 13 13 13 13 13 14 14 14 12 10 10 10 11 13 13 14 14 14 14 14 14 14 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 14 13 13 13 12 12 12 12 12 11 11 11 11 12 12 13 13 13 12 12 12 11 11 10 10 9 9 8 8 8 8 9 10 12 12 13 13 13 13 13 13 13 12 12 11 11 nan
nan 13 15 16 15 15 14 13 12 10 9 8 9 10 13 14 15 16 15 15 14 13 13 13 12 12 12 12 11 11 11 11 13 14 16 17 17 17 15 14 13 12 9 6 3 4 4 6 8 10 11 11 11 11 11 11 10 8 8 8 9 12 13 13 13 11 10 11 10 8 6 4 4 7 10 12 13 11 9 6 4 3 4 6 8 11 12 14 15 15 14 13 12 11 10 11 11 12 12 13 13 14 15 14 14 13 14 14 13 10 9 8 8 10 12 13 14 14 14 15 15 15 15 15 14 14 13 13 13 13 14 14 14 13 13 13 14 15 15 15 14 14 13 12 12 12 12 12 12 12 12 11 11 11 12 12 13 13 13 13 12 12 11 11 10 10 9 8 7 6 6 6 6 8 9 10 11 11 11 12 12 12 12 12 12 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
106 112 112 108 103 101 100 97 93 89 88 89 90 95 102 111 116 106 88 71 61 44 28 16 9 6 2 1 1 2 6 6 4 1 0 0 0 0 1 2 4 4 7 10 14 13 12 12 12 12 12 11 10 9 6 2 1 0 0 0 0 0 0 0 0 1 4 12 18 20 22 22 21 20 21 26 34 39 36 26 16 9 8 10 12 13 13 15 17 18 18 18 15 6 1 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 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 3 17 46 80 88 77 60 48 39 33 26 18 10 4 1 0 0 0 0 0 0 1 2 4 7 9 9 9 8 7 6 5 5 5 5 1
102 112 109 105 100 96 94 93 89 85 80 84 89 95 102 109 113 103 82 66 58 41 22 12 7 3 0 0 3 6 8 7 2 0 0 0 0 0 0 1 3 3 6 8 10 12 11 10 9 9 9 11 10 8 5 2 0 0 0 0 0 0 0 0 1 3 7 13 20 24 25 25 22 21 24 30 37 38 34 30 22 13 5 3 4 6 10 12 15 15 15 14 15 12 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 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 7 25 59 84 68 38 11 1 2 5 6 5 2 0 0 0 0 0 0 2 4 7 9 10 9 8 8 7 6 6 6 7 7 6 3
104 109 109 103 98 93 88 86 82 78 74 75 84 90 96 102 104 98 73 58 50 39 24 12 6 3 1 1 6 8 7 4 0 0 0 0 0 0 0 0 1 3 5 6 7 8 8 7 6 6 7 9 9 7 5 2 0 0 0 0 0 0 0 0 2 5 11 16 24 28 28 27 25 24 25 29 32 31 35 34 28 17 7 2 1 2 4 7 10 11 9 7 8 13 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 1 1 0 0 1 1 1 1 1 0 1 1 2 2 1 1 1 2 9 27 61 39 16 4 0 0 0 0 0 0 0 0 0 0 1 2 5 9 11 12 12 10 8 7 7 6 6 7 12 11 8 6
109 112 110 103 98 92 87 82 77 72 67 69 75 78 83 90 93 87 63 47 42 38 28 16 13 8 6 7 10 8 5 2 0 0 0 0 0 0 0 0 1 4 7 7 7 5 4 3 3 3 4 5 5 5 4 2 0 0 0 0 0 0 0 0 1 4 9 16 27 33 32 29 26 24 24 24 24 26 34 36 31 20 9 2 1 1 1 3 5 9 8 6 5 9 18 11 4 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 2 9 28 15 6 1 0 0 0 0 0 1 1 1 1 1 3 5 9 12 13 12 10 9 7 6 6 6 6 6 16 13 8 6
115 114 110 105 99 92 86 81 77 73 66 71 74 73 74 82 87 78 58 41 37 38 37 31 25 18 19 17 12 5 2 1 0 0 0 0 0 0 0 0 1 5 8 8 6 3 2 1 1 1 1 2 3 5 4 3 1 0 0 0 0 0 0 0 1 1 4 10 19 30 32 30 27 25 21 19 19 23 31 38 41 34 20 8 1 0 0 1 3 5 9 10 9 11 16 17 8 2 0 1 3 4 2 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 1 1 1 0 0 1 0 0 0 0 0 1 3 4 3 1 1 0 0 0 0 1 1 2 6 4 2 0 0 0 0 0 1 2 2 2 2 4 7 9 11 12 12 10 8 7 6 5 5 5 5 5 12 10 5 2
117 114 112 107 100 93 88 82 77 72 67 72 72 71 73 79 83 71 54 40 33 42 49 48 39 29 30 22 12 4 1 1 1 0 0 0 0 0 0 0 1 3 7 7 4 2 0 0 0 0 0 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 1 2 8 16 22 23 22 19 16 14 14 17 24 33 44 47 34 15 2 0 0 1 2 4 7 9 10 12 18 23 16 7 2 0 1 3 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 0 0 2 3 2 1 0 0 0 0 0 0 0 0 1 5 8 8 4 3 2 1 0 0 1 1 1 2 2 2 1 0 0 0 0 1 1 1 2 4 7 9 10 11 12 10 8 6 5 4 3 4 3 3 3 4 3 1 0
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102 100 101 102 101 104 110 118 124 130 140 155 158 152 138 118 97 78 63 46 24 14 10 8 7 5 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 6 5 5 7 13 16 14 10 7 7 8 10 12 9 7 4 2 0 0 0 1 5 8 9 8 6 4 3 3 4 7 12 16 17 14 13 15 20 26 30 31 26 15 4 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 6 17 26 23 18 13 13 15 20 19 15 11 9 9 9 7 5 9 6 3 1 0 0 1 1 2 4 5 5 5 4 3 4 4 5 4 4 4 4 4 4 5 6 6 7 8 8 8 7 5 3 0 1 2 2 2 1 2 2 1 0 0 1 2 2 3 4 3 3 2 1 0 0 0 0
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102 100 98 96 97 100 106 115 124 133 141 149 153 147 130 112 95 81 74 72 54 29 18 15 13 10 6 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 7 10 11 9 6 3 2 3 6 6 6 5 4 4 5 4 3 2 2 3 3 1 1 0 0 0 1 3 5 4 4 5 5 6 10 17 28 37 42 48 51 51 40 25 16 12 14 17 19 19 17 9 1 2 6 9 9 4 1 0 0 0 0 0 4 11 13 10 5 2 2 5 4 2 1 1 2 2 2 3 5 3 2 2 2 3 3 4 4 4 4 4 2 2 3 7 10 15 17 16 14 11 10 8 7 5 5 5 7 8 9 7 4 2 2 1 1 1 1 1 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0
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105 103 99 96 94 97 106 115 124 132 139 142 143 137 126 112 100 92 86 76 45 28 21 20 20 18 13 7 4 2 1 0 0 0 0 0 0 1 2 3 2 3 4 3 2 3 4 5 5 5 7 11 9 6 4 1 0 0 0 0 1 1 1 2 3 4 3 1 0 0 2 5 6 4 1 1 0 0 0 0 1 5 11 18 22 24 27 31 39 46 49 47 45 41 36 37 29 25 28 40 50 54 52 44 30 25 25 23 16 8 4 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 2 4 3 2 2 2 2 2 1 1 1 1 1 1 2 4 6 10 11 10 7 4 4 4 4 2 1 1 1 2 2 1 1 2 2 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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108 105 102 100 94 102 110 118 128 135 137 140 143 140 126 110 98 93 89 72 48 27 20 19 19 19 20 18 13 8 3 0 0 0 0 0 0 2 7 11 15 18 16 12 9 7 8 10 10 8 6 4 3 1 0 0 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 2 5 6 5 3 2 0 1 1 1 3 9 18 29 41 51 57 44 28 25 28 29 27 22 17 30 51 68 74 69 57 48 47 56 54 53 51 48 42 34 23 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 4 4 4 3 2 1 0 0 0 0 1 1 1 1 0 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
108 106 104 102 100 102 109 119 129 137 139 138 140 139 125 111 100 92 87 75 52 33 23 20 18 18 19 20 18 12 5 1 0 0 0 0 0 2 7 13 19 22 19 15 12 11 13 13 11 8 4 2 0 0 0 1 3 5 7 8 7 5 3 1 2 0 0 0 0 0 0 0 1 3 9 12 11 8 4 1 1 2 3 6 12 21 32 43 52 36 26 24 25 24 25 26 29 41 61 72 72 66 60 62 68 69 61 52 43 37 31 25 17 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0
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111 108 107 107 102 103 110 122 130 135 136 136 137 129 116 102 91 87 86 79 60 38 25 20 18 18 20 22 22 18 10 3 0 0 0 0 0 1 4 7 10 12 10 8 8 9 11 12 9 6 4 3 2 2 4 6 8 12 15 17 16 13 9 6 3 2 2 4 4 4 4 4 4 5 10 18 28 34 34 27 17 11 10 10 13 17 20 15 3 4 10 23 39 54 60 49 47 57 73 88 91 82 66 50 52 49 44 35 25 14 7 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 6 4 1 0 0 0 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
111 109 108 108 103 103 110 121 131 135 135 136 136 130 118 104 94 89 92 84 67 43 27 21 18 19 21 23 23 20 13 6 2 0 0 0 0 2 5 9 11 11 8 5 4 4 5 5 5 4 5 7 7 8 8 7 7 8 10 10 9 7 6 6 6 8 9 10 10 10 11 12 12 11 12 16 26 35 41 40 30 15 8 5 5 7 8 6 5 8 12 23 35 46 50 47 56 69 83 97 99 86 67 53 50 49 45 39 28 17 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0
112 109 109 108 105 100 107 119 129 134 133 133 135 136 125 112 103 98 99 90 71 49 32 23 20 20 22 26 27 24 19 13 8 3 1 1 2 6 12 18 23 17 10 5 3 2 1 2 3 5 6 7 9 10 11 10 8 7 5 4 3 4 5 7 9 12 14 14 15 16 18 21 24 25 22 21 24 30 37 42 40 26 13 6 2 0 1 1 3 6 12 21 28 32 33 33 47 67 86 96 96 81 59 51 64 69 62 48 33 21 12 10 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
111 109 108 108 105 100 104 116 127 132 131 129 133 135 131 121 112 107 104 98 74 53 37 26 21 21 23 26 28 26 24 21 18 10 7 6 6 8 13 19 22 19 11 6 3 2 1 2 6 10 11 10 10 11 12 12 10 9 8 7 8 11 16 20 21 23 26 27 27 26 27 29 33 34 32 29 27 26 27 30 32 29 22 13 5 1 1 1 2 3 6 14 24 31 33 36 47 57 70 85 93 87 69 64 74 80 72 54 33 16 7 12 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 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 0 0 0 0 0 0 0 0 0 0 0 0
110 109 108 109 108 106 107 117 126 130 129 126 127 132 132 126 118 112 109 101 79 57 41 30 24 23 24 25 27 28 26 24 21 16 17 15 11 8 9 13 18 19 14 9 5 3 2 4 11 16 16 14 11 10 10 10 10 10 10 11 16 25 33 37 36 35 37 38 38 37 38 38 39 39 36 32 28 23 20 19 17 15 12 9 6 3 1 0 0 0 4 11 22 32 37 43 52 58 66 77 87 93 89 81 73 67 59 44 25 9 3 8 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 7 4 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
110 111 112 113 114 110 110 117 126 130 128 125 125 130 131 127 121 116 113 103 84 61 45 34 27 23 24 24 24 24 23 20 17 13 11 8 6 6 7 11 16 19 18 15 9 5 4 5 11 16 15 10 5 3 3 6 10 12 12 15 21 30 39 41 39 37 39 41 42 43 45 42 40 38 37 35 32 25 18 12 7 4 2 2 2 1 0 0 0 0 3 10 18 27 37 44 48 48 48 54 67 80 83 70 58 47 39 29 13 3 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 5 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0
108 110 113 115 116 112 114 119 125 130 128 126 125 126 128 124 120 115 112 103 86 66 48 36 27 23 23 22 22 22 21 17 11 8 6 4 4 4 5 9 14 20 23 21 14 9 6 4 3 8 7 5 3 2 6 13 19 21 18 18 21 27 34 34 33 31 33 36 37 36 34 31 30 30 29 28 25 20 13 7 2 1 0 0 0 0 0 0 0 0 2 7 14 22 30 36 38 37 36 43 56 66 67 58 39 24 13 6 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 1 2 3 2 1 0 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 0 0
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113 113 113 116 118 118 116 111 115 119 122 121 117 112 109 107 103 100 99 96 84 67 52 39 30 22 20 20 20 21 20 16 9 5 7 8 7 5 3 4 8 15 23 28 26 19 10 3 0 0 1 5 9 12 16 21 24 25 22 19 19 20 22 24 23 24 25 25 26 28 27 26 24 20 16 12 7 1 0 0 0 0 0 0 0 0 1 1 1 1 2 3 6 12 17 18 15 18 26 37 42 21 8 3 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 0 1 1 0 0 1 2 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 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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