Vorticity
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nan 8 7 7 7 7 7 6 6 4 2 3 3 3 4 4 4 4 4 6 10 15 21 25 25 22 19 16 14 12 11 9 8 7 5 4 4 4 6 9 11 15 19 22 23 22 21 18 15 13 13 12 13 13 14 14 14 14 14 13 13 13 13 13 13 12 10 11 12 14 16 17 16 13 11 11 10 10 10 10 11 11 11 12 12 13 13 13 13 13 12 11 10 9 8 9 10 11 11 11 11 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 8 8 9 10 10 11 12 12 12 11 11 10 10 9 9 9 9 9 9 nan
nan 11 12 11 11 10 9 7 5 4 4 5 6 6 6 6 7 7 7 11 15 20 23 25 22 17 16 16 17 16 14 12 9 7 6 5 5 6 7 8 9 12 15 18 21 21 20 18 16 14 14 14 15 15 15 15 15 14 13 13 13 13 13 13 12 10 10 11 14 17 19 20 18 16 14 12 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 10 9 8 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 nan
nan 16 19 20 19 17 14 11 9 8 8 9 8 8 7 7 7 7 8 11 14 17 18 18 15 13 13 14 16 17 15 13 11 10 9 9 9 9 9 9 11 14 17 20 21 21 20 18 16 14 14 14 14 15 15 14 14 13 12 12 12 12 13 11 9 9 10 12 15 18 19 20 20 19 17 15 12 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 10 9 9 9 10 10 10 11 11 11 12 12 11 11 11 10 10 11 11 12 12 12 13 13 13 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 nan
nan 19 22 23 22 19 17 14 12 12 12 11 10 9 7 7 7 7 8 9 10 11 13 12 11 12 13 13 14 14 13 13 13 12 12 11 10 9 8 9 14 18 20 21 21 20 19 18 15 13 12 12 12 13 13 13 12 11 10 10 10 11 10 8 7 7 9 12 14 16 17 18 20 21 20 18 14 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 11 12 13 13 13 13 13 12 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 nan
nan 15 15 13 13 12 13 15 15 14 13 12 11 9 7 6 6 7 7 7 8 8 9 10 10 11 13 13 13 12 11 12 13 13 12 11 9 7 8 12 17 20 20 19 18 18 18 17 15 12 11 10 10 10 11 11 10 10 9 8 8 8 7 6 6 7 9 11 12 12 14 16 18 20 20 18 16 12 11 10 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 12 13 13 13 13 12 11 11 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 nan
nan 9 6 4 3 5 8 12 13 13 12 11 11 9 7 6 6 6 7 7 7 8 8 9 10 11 13 14 13 12 10 10 12 12 11 9 6 6 9 16 20 21 19 16 14 14 15 14 13 11 10 9 8 9 9 9 9 9 8 8 7 7 6 5 6 8 9 9 9 10 12 14 16 18 19 17 15 13 12 11 10 10 10 9 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 12 13 13 13 12 12 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 8 8 9 nan
nan 5 3 2 2 3 6 8 10 10 10 10 10 9 8 8 8 8 8 7 7 8 9 9 10 12 14 15 14 13 11 10 11 10 9 6 4 6 11 18 22 23 20 15 12 11 11 12 11 10 9 8 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 12 14 16 18 18 17 15 13 12 12 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 11 12 13 13 13 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 8 7 7 7 nan
nan 6 5 5 4 4 5 6 7 7 8 8 8 8 8 9 10 10 9 9 8 8 9 10 11 13 14 15 14 13 11 11 10 9 7 4 3 6 12 18 22 24 21 16 11 8 8 9 10 9 8 7 6 6 7 8 8 8 7 7 7 7 8 8 8 8 7 7 8 10 13 16 18 19 18 16 15 13 12 12 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 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 9 9 9 8 nan
nan 7 7 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 10 11 12 13 14 16 16 16 15 13 12 11 10 8 5 3 4 8 14 18 21 22 20 15 9 7 7 8 9 9 8 6 5 5 6 7 8 8 7 6 6 7 8 10 10 9 8 8 11 14 17 19 20 19 17 15 14 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 9 8 7 7 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 10 11 11 11 10 nan
nan 6 7 9 10 10 10 10 10 9 9 7 6 5 4 3 4 5 7 9 12 14 16 17 18 19 19 18 16 13 12 10 9 7 4 3 6 11 17 20 21 20 17 12 8 6 6 8 9 9 8 6 5 5 6 8 9 9 8 7 7 7 9 10 11 12 12 13 15 18 19 20 20 18 16 14 13 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 11 11 11 10 9 8 7 7 7 7 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 nan
nan 4 5 7 9 11 11 10 10 9 9 9 8 7 6 4 4 5 7 9 13 16 18 20 20 20 19 18 16 13 9 7 5 3 1 3 8 14 20 21 20 17 13 10 7 6 6 7 9 9 7 6 5 5 6 8 8 8 8 8 9 9 9 9 11 14 16 17 17 18 19 19 18 15 13 12 11 10 10 9 9 9 9 9 10 10 11 11 12 12 11 11 11 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 9 8 7 6 6 6 6 7 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 11 11 11 10 10 10 9 9 9 10 10 10 9 9 8 8 8 9 10 10 9 9 nan
nan 4 4 5 7 9 9 9 8 7 8 9 9 8 8 7 7 7 8 10 13 16 18 18 18 18 18 17 15 11 6 2 -1 -2 -1 4 11 16 20 20 18 14 11 9 7 7 7 8 9 8 7 5 5 5 6 6 7 6 7 8 9 10 10 10 12 14 15 15 15 15 16 16 14 13 12 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 11 10 10 9 8 7 6 5 6 6 7 8 9 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 12 12 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 nan
nan 4 3 3 6 7 8 7 7 7 7 8 8 7 7 6 6 7 10 13 16 18 17 16 15 14 15 15 13 10 5 -0 -4 -5 0 8 14 17 17 16 13 10 8 7 7 7 8 8 9 8 7 6 5 5 5 5 5 6 7 8 10 11 12 13 13 13 13 13 12 12 12 12 12 11 11 10 10 10 10 9 9 9 8 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 10 10 10 11 11 11 11 10 10 10 11 11 11 11 10 9 8 7 6 5 5 6 7 9 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 11 10 10 9 8 8 8 nan
nan 4 2 3 6 7 8 8 8 9 9 8 7 6 5 4 4 5 9 15 19 20 18 16 13 11 10 11 11 10 6 -1 -6 -7 -0 9 15 16 15 12 9 7 6 6 7 8 9 9 9 8 8 7 7 6 5 5 6 7 9 10 11 12 13 14 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 8 8 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 12 11 11 10 8 7 6 6 6 6 7 9 10 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 11 10 9 9 9 9 9 10 10 10 9 9 10 10 10 9 8 8 7 7 nan
nan 4 2 4 7 9 9 10 9 10 10 9 8 7 5 4 4 4 7 13 18 21 20 16 11 7 4 5 7 7 6 -1 -7 -8 -3 5 11 13 12 9 7 6 6 6 7 8 9 9 9 8 8 7 7 6 6 7 8 9 10 11 11 11 12 13 13 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 7 6 6 6 7 8 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 8 8 8 9 8 8 8 7 7 7 nan
nan 5 4 5 9 11 11 10 9 8 9 9 9 8 8 9 9 8 8 13 17 21 21 16 9 2 -1 -0 3 5 5 -0 -6 -7 -5 1 6 8 8 7 6 6 6 7 7 8 8 8 8 7 7 6 6 6 6 7 9 11 12 12 11 11 11 12 13 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 7 6 6 6 7 8 9 11 11 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 12 12 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 nan
nan 5 5 7 10 12 13 12 10 8 6 6 7 9 11 14 16 16 15 17 20 22 22 16 6 -1 -5 -4 0 4 6 4 -1 -3 -2 0 4 6 5 5 5 5 6 7 7 8 8 8 7 7 6 6 5 6 7 9 10 12 14 13 12 10 10 12 13 14 14 13 12 11 10 10 10 9 9 9 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 8 6 6 6 7 8 9 10 11 11 12 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 nan
nan 5 5 6 9 12 14 14 12 8 5 4 5 7 11 17 20 22 22 23 23 23 21 15 5 -2 -5 -5 -2 3 7 8 5 4 3 3 4 5 5 4 4 4 6 7 8 8 8 7 7 6 6 5 5 6 7 9 11 12 14 14 12 10 10 11 13 14 15 14 12 11 10 10 9 9 8 9 9 10 9 9 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 7 6 6 7 8 9 10 10 11 11 11 11 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 nan
nan 8 7 7 8 10 13 14 12 9 5 3 2 4 7 12 17 20 21 21 21 20 18 13 6 1 -3 -4 -2 2 6 9 9 8 7 7 6 6 6 5 5 5 6 6 7 8 8 7 6 6 5 5 5 6 7 8 10 12 13 13 11 10 9 11 13 15 16 15 14 13 12 11 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 11 10 10 10 9 9 8 7 7 8 9 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 7 8 8 9 9 10 11 11 11 11 nan
nan 13 12 11 10 9 11 12 12 9 6 3 1 1 2 4 8 10 12 13 14 14 14 12 8 4 2 -1 -1 1 4 7 8 9 9 8 8 8 7 6 6 6 7 7 7 7 7 7 6 5 4 4 5 6 7 9 12 14 15 13 10 9 10 12 14 17 17 16 15 14 13 12 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 11 11 11 10 10 10 9 9 8 8 7 7 8 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 11 nan
nan 15 16 15 13 11 10 10 10 9 7 5 3 2 1 2 2 3 5 6 8 9 9 9 9 7 5 4 2 1 2 4 5 6 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 6 5 6 7 9 11 13 15 15 12 10 9 10 13 15 17 17 16 15 14 13 12 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 8 9 9 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 8 10 10 10 10 10 10 10 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 nan
nan 13 14 15 14 12 10 8 8 8 8 7 7 7 6 5 5 4 4 5 6 7 8 9 9 9 8 7 5 3 2 2 3 3 4 5 6 7 7 7 6 6 7 7 8 8 9 9 9 8 8 7 8 9 11 12 14 15 13 11 9 9 10 13 16 17 17 16 15 14 12 12 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 8 8 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 nan
nan 10 11 12 12 10 9 8 8 8 9 10 11 12 12 11 11 10 10 9 9 10 10 11 11 11 11 10 9 7 6 5 4 4 4 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 10 11 13 14 15 14 13 11 10 10 11 13 16 17 17 17 16 14 13 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 nan
nan 11 11 10 10 9 9 9 9 9 9 9 10 12 13 14 15 15 15 14 14 13 13 13 13 13 13 13 12 11 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 8 9 10 12 13 14 15 15 14 13 12 11 11 12 14 16 17 17 17 16 15 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 9 9 8 7 7 7 8 9 9 9 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 9 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 nan
nan 14 11 10 9 9 10 10 9 7 5 5 5 8 10 12 13 14 15 14 13 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 10 11 12 14 15 16 16 15 14 13 12 12 12 13 15 16 17 16 16 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 8 7 7 8 8 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 9 10 10 10 10 10 9 9 10 10 10 11 11 12 11 11 11 nan
nan 16 12 10 9 10 10 9 8 6 3 2 3 5 6 8 8 9 9 9 8 8 9 10 10 11 11 11 11 11 11 12 13 14 15 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 14 14 15 16 16 15 13 12 12 12 12 13 15 16 17 17 16 15 14 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 9 8 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 nan
nan 15 11 8 8 9 10 9 8 7 6 5 6 6 7 7 6 6 5 5 6 7 9 11 12 13 14 13 13 13 13 14 14 15 16 17 17 17 17 17 17 17 16 16 16 15 15 15 15 15 16 16 16 16 14 13 12 11 12 12 13 14 16 16 17 17 16 16 15 14 13 12 11 10 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 8 9 9 10 10 10 11 11 11 12 11 11 10 10 10 10 10 11 11 12 12 12 13 nan
nan 11 8 7 8 9 10 10 10 10 10 11 12 12 11 10 9 8 7 8 10 12 14 17 19 19 19 18 17 16 16 16 17 17 17 17 17 18 18 18 18 18 18 17 17 16 16 16 16 16 16 16 15 14 12 11 11 11 12 12 13 14 15 16 16 16 16 16 15 15 14 12 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 7 7 8 8 9 10 11 11 12 12 13 12 11 11 10 10 10 10 11 12 12 13 13 nan
nan 7 6 7 9 10 10 10 11 11 12 12 13 13 14 13 12 11 11 11 13 15 18 21 23 23 22 21 20 19 18 18 18 18 18 18 18 18 18 18 18 18 18 17 17 16 16 15 15 14 13 13 13 12 11 11 11 11 12 13 13 14 14 15 15 15 15 15 15 15 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 11 11 11 11 10 9 8 8 8 9 10 10 10 9 8 8 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 6 6 6 7 8 9 10 10 11 12 13 13 13 12 11 10 10 10 11 11 12 13 13 nan
nan 6 7 8 10 10 10 10 10 10 10 10 9 9 10 12 13 12 10 9 10 11 13 15 17 18 18 19 18 18 19 19 18 18 18 18 18 18 18 18 18 18 17 17 16 15 15 14 13 12 11 10 11 11 11 12 12 12 12 13 14 14 14 14 14 14 14 15 15 14 14 13 12 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 9 9 8 8 9 10 11 11 10 8 8 8 8 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 9 10 12 13 14 14 13 12 11 11 11 11 11 12 12 nan
nan 6 7 8 8 9 8 8 8 8 8 8 8 9 11 13 13 11 7 6 5 5 6 7 8 10 11 13 14 16 17 18 17 17 16 16 16 17 17 17 17 16 15 15 14 14 14 13 12 11 9 9 9 10 11 12 12 13 13 14 14 14 14 13 13 13 14 15 15 15 14 13 12 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 10 10 11 11 10 9 8 7 7 8 9 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 9 11 12 13 14 13 12 12 11 11 11 11 12 nan
nan 8 7 6 5 5 5 5 5 5 7 9 11 13 16 17 16 12 9 7 6 5 6 6 6 7 9 10 12 14 16 16 15 13 12 11 11 12 13 14 14 13 12 12 12 13 13 13 12 10 9 8 9 9 10 11 12 13 13 14 14 14 14 13 13 14 14 15 15 15 14 13 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 10 10 11 11 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 5 5 5 6 6 8 9 11 12 12 12 11 11 11 11 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
10 5 4 7 13 17 31 38 33 26 23 18 12 8 5 3 2 2 3 1 1 0 0 0 0 0 1 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 73 158 266 370 451 538 620 694 748 759 754 761 752 719 688 672 662 655 640 643 629 603 578 555 532 507 474 436 396 368 358 353 336 317 304 280 245 206 170 148 119 97 79 66 58 52 45 43 42 43
12 11 13 22 36 46 39 37 30 19 14 12 9 8 6 4 4 5 4 2 0 0 0 0 0 0 1 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 49 110 193 293 402 494 564 623 670 689 707 731 744 723 706 709 709 701 692 683 664 637 609 587 568 548 519 480 438 405 387 374 352 336 324 306 281 250 214 184 151 123 103 86 71 58 47 42 41 41
13 22 38 55 58 60 42 32 22 14 11 10 9 9 8 6 4 4 3 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 29 83 187 251 343 436 516 573 605 621 646 691 751 746 720 712 719 717 710 706 703 682 653 638 636 621 593 555 510 469 439 412 372 358 349 335 316 292 259 224 188 153 128 108 88 68 56 45 40 39
34 67 111 118 89 65 53 42 31 22 16 11 9 8 6 4 3 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 18 71 195 252 306 380 465 532 566 575 580 639 737 746 707 684 688 696 701 719 743 739 729 747 742 712 676 633 591 551 510 466 408 384 373 369 362 341 305 270 239 198 164 135 107 85 70 58 50 47
75 133 187 177 120 68 51 47 35 24 15 10 7 4 3 2 2 2 3 3 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 14 43 103 201 272 338 417 494 543 555 558 593 653 667 650 639 647 666 697 736 759 757 755 777 779 773 763 758 737 677 588 529 470 430 404 392 383 371 351 320 288 241 198 163 134 108 88 77 65 58
44 72 128 106 65 40 34 33 24 13 6 3 2 0 0 0 2 2 3 4 4 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 6 14 37 80 170 260 307 388 488 550 546 551 558 577 595 606 617 639 673 705 741 747 746 758 782 815 849 859 880 876 819 732 690 633 566 507 465 440 428 426 389 350 302 258 222 186 148 116 94 76 68
0 3 18 10 9 9 12 13 8 2 0 0 0 0 0 0 2 4 7 8 8 6 4 2 1 1 0 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 6 7 9 19 43 87 180 300 300 395 538 613 596 565 552 566 588 601 613 644 672 688 706 708 734 803 888 941 955 931 951 986 994 971 958 900 796 688 608 554 513 493 448 401 346 292 252 226 193 156 124 105 93
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36 32 27 16 4 3 2 1 1 0 0 0 0 0 0 0 1 1 1 3 7 10 10 8 7 6 6 6 8 7 8 10 9 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 4 4 4 3 4 4 5 5 6 6 6 7 7 8 8 8 8 9 9 9 10 10 10 10 11 10 10 11 11 11 11 11 12 13 14 16 18 20 20 20 20 20 20 19 18 17 16 14 12 10 9 6 4 4 4 4 4 2 1 1 0 0 0 0 0 0
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3 4 3 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 27 23 14 5 0 0 0 0 0 0 0 0 1 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 8 6 3 2 1 0 1 1 3 6 9 12 14 14 14 14 15 15 13 11 9 8 7 6 5 5 4 3 3 3 4 5 5 3 3 2 2 2 2 2 2 3 4 4 5 6 8 10 11 11 12 12 11 9 7 7 8 8 7 8 7 8 9 10 10 10 9 12 14 11 10 11 11 9 7
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