Vorticity
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nan 5 3 1 -1 -1 -1 -0 -0 1 2 3 5 6 6 7 7 8 9 10 11 11 11 10 8 6 4 4 4 5 6 6 7 7 7 7 8 8 8 8 9 9 9 8 7 6 7 8 10 12 14 14 13 13 12 12 11 11 11 11 11 11 11 11 12 12 11 10 9 8 9 9 10 11 11 11 11 11 10 10 10 10 10 10 9 9 8 7 7 7 7 8 10 12 13 13 12 11 10 9 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 13 15 16 18 20 20 18 16 14 11 9 8 7 6 6 5 4 4 4 6 7 8 9 9 10 10 11 11 11 10 9 8 7 6 5 4 4 3 3 4 6 9 11 11 11 10 10 9 9 8 8 8 9 9 9 9 10 10 11 13 14 14 13 12 10 9 9 9 9 9 nan
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nan 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 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 10 10 8 7 8 7 6 6 6 6 8 10 11 11 8 5 6 9 13 17 21 22 22 22 22 21 20 19 19 20 21 22 21 16 11 8 6 7 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 11 11 11 nan
nan 11 11 12 12 13 13 13 12 12 12 11 11 11 12 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 11 11 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 11 10 10 10 9 9 7 6 6 5 4 4 6 8 10 12 12 10 7 5 7 9 13 16 18 19 20 21 22 21 20 19 20 21 22 22 20 15 11 8 6 7 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 9 10 10 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 10 9 9 10 10 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 11 12 12 12 12 12 12 11 11 11 11 10 9 9 9 10 10 10 10 9 9 9 10 10 11 12 12 12 12 11 10 10 9 8 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 12 12 11 10 8 6 4 3 3 3 5 8 11 13 12 9 5 5 7 10 15 17 18 19 20 21 22 21 19 19 19 20 20 20 17 14 10 7 6 7 9 10 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 12 11 10 9 10 10 11 12 11 11 10 10 11 11 11 nan
nan 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 9 8 8 9 11 11 11 10 9 9 9 10 10 11 12 12 12 12 11 10 9 9 8 8 9 10 10 11 12 13 12 12 11 10 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 14 14 15 16 16 17 17 15 13 9 6 4 3 2 4 6 8 11 12 10 6 4 5 9 15 19 20 19 18 19 20 21 20 18 18 18 18 18 18 16 14 11 8 7 7 9 10 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 11 12 12 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 13 13 13 12 11 10 10 10 11 12 11 11 10 10 11 11 11 nan
nan 7 8 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 10 10 11 11 11 10 9 8 9 10 11 11 12 12 12 11 10 9 9 9 8 8 8 9 9 10 11 12 12 12 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 13 13 13 14 14 14 15 16 17 18 18 16 13 11 8 6 5 5 6 7 8 9 9 7 4 4 7 13 19 22 19 17 16 16 18 19 19 18 17 17 17 17 18 18 16 13 10 8 8 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 11 11 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 11 11 11 11 10 11 11 11 nan
nan 8 9 10 10 11 11 10 10 10 9 8 8 9 9 10 11 11 12 12 13 13 12 11 9 9 9 10 11 12 12 12 11 11 10 10 9 8 8 8 8 8 9 10 10 11 11 12 12 11 10 9 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 14 14 14 14 13 12 11 10 9 7 7 6 6 6 6 6 5 5 7 11 17 20 20 17 14 13 13 15 17 17 17 17 16 17 18 18 18 17 13 10 9 9 10 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 11 11 12 12 12 11 11 11 12 12 11 11 10 10 10 10 10 11 11 12 11 11 11 11 12 12 12 11 10 10 10 10 10 11 11 11 11 11 10 10 nan
nan 10 11 11 12 12 11 11 11 10 10 9 8 8 9 10 11 12 13 13 13 13 12 11 10 9 10 11 12 12 12 12 12 11 11 10 9 8 7 7 8 9 9 10 10 10 11 12 12 12 11 10 9 8 8 9 9 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 11 11 10 10 11 11 11 11 9 7 5 4 3 4 6 7 9 11 13 17 19 20 18 15 13 12 12 13 15 16 16 16 16 16 17 17 17 14 11 9 9 10 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 11 11 12 12 12 11 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 nan
nan 11 12 12 12 12 11 11 11 10 10 10 9 9 9 10 11 11 12 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 9 8 8 8 8 9 10 11 10 10 10 11 12 12 12 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 9 9 9 10 10 9 9 9 10 10 11 11 10 7 5 4 3 4 7 10 13 16 18 19 20 19 18 17 15 14 12 11 12 13 15 16 16 15 15 15 15 15 13 11 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 12 11 11 10 11 11 11 11 11 11 11 11 11 11 nan
nan 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 12 12 13 13 12 11 10 9 9 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 11 10 9 9 8 7 7 8 8 9 10 11 11 10 8 6 4 4 5 8 12 14 17 18 19 19 17 16 15 14 14 13 11 10 10 11 13 16 16 15 14 15 15 15 13 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 nan
nan 11 11 11 10 10 10 10 9 9 9 10 11 11 12 12 11 10 9 9 9 9 9 9 10 11 11 11 12 13 13 14 13 12 10 9 9 9 10 10 11 11 11 10 10 10 10 11 11 12 12 13 13 12 12 12 12 12 11 11 11 11 11 11 12 13 13 13 13 13 12 12 13 13 13 13 13 12 11 9 7 6 6 7 8 9 10 10 9 7 5 4 5 8 11 13 14 15 15 15 15 13 12 12 12 12 10 9 8 8 9 12 14 14 14 13 14 15 15 14 13 12 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 11 10 10 9 9 9 10 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 nan
nan 11 10 10 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 11 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 12 12 13 13 13 12 12 12 12 11 11 11 11 12 13 14 14 14 14 13 13 13 13 14 15 16 17 16 15 13 10 8 7 6 7 8 8 8 7 6 5 5 6 9 12 12 12 12 12 13 12 12 12 11 11 10 8 6 4 4 6 9 11 10 10 11 13 16 16 15 14 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 11 11 10 9 9 10 10 10 10 11 11 11 11 11 12 12 13 13 13 13 12 12 12 11 11 11 12 12 12 12 12 11 11 11 nan
nan 10 10 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 11 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 12 13 14 14 14 14 13 13 13 14 15 16 17 19 20 19 18 15 11 9 7 7 7 7 6 5 5 5 6 8 10 12 12 11 11 12 12 13 12 12 12 11 9 6 3 -0 -0 3 5 7 7 9 12 16 18 18 17 15 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 11 11 11 11 12 13 13 13 13 12 11 10 10 10 10 10 11 11 11 10 10 11 12 13 14 14 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 9 9 10 10 9 10 10 11 13 13 13 13 12 11 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 12 13 13 14 13 13 12 13 13 13 14 16 18 20 21 22 20 16 14 11 8 7 6 5 4 4 5 7 10 11 11 12 12 12 13 13 13 13 12 12 11 7 3 -0 -3 -2 1 4 8 11 14 19 23 23 22 19 17 14 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 13 14 14 14 13 12 12 12 11 11 11 11 10 10 10 10 11 12 13 14 15 14 14 13 13 12 12 12 12 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 9 8 8 9 9 9 10 10 10 11 11 12 12 12 12 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 10 10 10 9 9 9 9 10 11 12 12 12 11 11 11 11 12 13 15 17 19 21 22 20 18 15 11 8 6 5 4 5 6 8 10 10 11 12 12 13 14 14 14 13 13 11 8 4 0 -2 -3 -1 3 7 11 17 21 25 27 25 24 21 17 15 13 13 13 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 12 12 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 11 13 14 15 14 14 14 13 12 12 12 11 11 11 11 11 11 11 nan
nan 11 11 12 12 12 11 11 12 12 12 11 11 10 10 9 9 8 8 8 9 10 11 11 12 11 11 10 10 11 11 12 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 9 8 7 7 7 8 9 10 10 10 10 10 9 9 10 11 12 14 17 19 19 18 17 13 9 6 5 5 6 7 8 9 10 11 12 13 14 14 14 14 13 11 8 5 1 -1 -1 0 3 6 9 13 19 24 27 27 26 24 20 16 15 14 13 13 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 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 nan
nan 11 12 12 12 12 12 12 12 12 11 10 10 9 9 10 10 10 10 10 10 11 12 13 13 13 11 10 10 10 11 12 12 12 12 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 9 8 7 7 6 7 9 10 10 10 9 8 7 7 7 8 9 10 12 14 16 16 17 14 10 8 6 6 6 7 8 9 10 11 12 13 13 14 14 13 12 9 5 3 0 0 3 5 7 8 9 13 18 23 25 26 26 23 19 16 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 11 12 12 13 12 12 12 12 12 11 11 12 12 13 13 13 14 14 13 13 12 12 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 11 11 10 9 9 9 10 11 12 13 12 12 12 13 13 14 13 12 11 10 9 10 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 11 11 11 11 10 10 9 9 9 10 11 11 11 10 9 8 8 8 9 9 11 12 13 13 11 9 7 6 6 6 6 7 8 9 10 12 13 14 13 10 9 7 6 6 7 8 9 10 11 13 13 14 14 14 13 10 7 4 2 3 5 8 9 9 9 9 13 19 23 25 26 24 21 18 15 14 13 13 13 13 13 12 12 12 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 11 11 10 10 11 12 13 13 14 13 13 12 11 11 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 nan
nan 11 12 12 12 12 11 11 10 10 9 9 10 11 12 13 14 15 15 15 15 15 14 13 11 9 9 8 9 10 11 12 13 13 13 13 12 12 11 11 11 11 11 11 10 10 11 12 12 12 12 11 10 9 10 10 11 11 11 10 9 9 10 11 12 13 14 15 15 15 14 11 9 7 7 6 6 7 7 8 9 10 12 12 11 10 8 7 6 6 7 9 10 11 12 13 13 14 14 13 11 8 6 5 5 7 10 11 11 9 9 10 14 19 22 24 24 21 19 16 15 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 12 13 13 13 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 11 11 11 11 11 10 10 9 9 9 10 11 13 14 15 16 16 16 16 15 14 13 10 8 7 7 8 9 12 13 14 14 14 13 13 12 11 11 10 10 10 11 11 10 10 10 11 12 12 12 11 11 10 11 11 11 11 11 11 10 10 10 11 13 14 15 15 15 16 16 15 13 12 10 8 8 8 9 10 10 11 13 13 12 10 8 6 5 6 8 10 11 12 13 13 13 13 13 11 9 8 8 8 9 11 11 11 10 9 9 11 14 18 21 22 21 19 18 16 15 14 13 13 13 13 13 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 13 12 11 11 12 12 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 10 10 10 10 10 10 9 9 10 11 12 13 14 16 16 16 16 15 14 13 12 11 8 7 6 6 7 9 12 13 14 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 9 8 9 9 10 11 11 12 13 14 16 16 15 14 12 10 10 10 10 11 12 13 14 14 14 12 10 8 6 6 7 9 11 12 13 13 13 12 10 8 7 7 8 8 9 8 8 8 8 9 11 13 16 18 20 20 19 18 17 16 15 14 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 12 13 14 14 14 13 12 12 13 13 12 12 12 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 10 10 11 12 14 15 16 16 16 15 14 13 12 11 10 9 7 7 6 6 6 7 9 10 11 12 13 14 14 14 14 14 13 12 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 13 13 12 11 9 7 6 5 6 7 8 9 10 12 13 14 14 14 12 11 10 11 11 12 12 13 14 15 14 13 11 8 6 6 7 8 10 12 13 13 12 10 7 5 4 4 5 5 5 4 5 7 9 11 13 15 17 20 21 20 19 18 17 16 15 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 13 13 13 13 13 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 nan
nan 9 8 9 9 9 10 10 11 12 13 14 15 15 14 13 12 11 10 9 9 8 8 7 7 7 7 6 6 6 7 9 10 12 13 13 13 13 13 14 13 13 12 11 11 11 12 13 14 14 15 14 14 13 13 13 12 12 12 12 11 9 7 6 6 6 7 7 7 8 10 11 12 12 12 11 11 11 11 12 13 14 14 14 13 11 8 6 5 5 7 9 12 13 14 14 12 9 7 5 5 5 7 7 7 8 9 10 12 13 15 17 20 22 22 20 19 17 16 16 14 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 nan
nan 9 9 9 9 10 11 11 12 13 13 13 13 12 12 11 10 9 8 8 7 7 8 9 9 10 9 8 8 8 8 9 11 12 12 11 11 11 11 12 12 12 12 12 11 10 10 11 12 12 13 13 12 12 12 12 12 13 13 13 13 12 11 10 9 8 7 6 5 5 6 8 9 10 11 11 11 11 11 12 13 14 14 13 12 9 6 5 5 6 8 11 14 15 15 14 12 10 8 8 8 9 10 11 11 12 12 12 13 15 17 20 22 23 22 20 18 16 16 15 14 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 nan
nan 10 10 11 11 12 12 13 13 13 12 12 11 10 10 9 8 8 7 7 7 8 9 11 12 12 12 10 10 9 10 11 12 12 12 12 11 11 11 12 12 13 12 12 11 10 10 10 10 11 11 11 12 12 12 12 13 14 15 15 15 14 13 13 12 11 9 6 4 3 4 5 7 9 10 10 10 11 11 12 12 13 13 13 12 10 8 7 7 8 10 12 14 15 15 14 13 11 10 10 9 9 10 10 11 11 12 13 15 17 20 22 24 23 20 18 17 16 16 15 15 14 13 13 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 11 10 10 11 11 11 12 12 13 13 12 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 11 11 11 11 11 11 nan
nan 12 12 13 13 14 14 14 13 12 11 10 9 8 7 6 6 6 7 7 8 10 11 13 14 14 13 12 12 12 13 13 13 13 13 13 13 13 14 14 15 14 14 13 13 12 12 12 13 13 13 14 14 14 14 15 16 16 17 17 16 14 13 12 12 12 11 9 7 5 5 5 7 8 9 10 10 10 10 11 12 12 13 14 14 13 11 9 8 9 10 12 14 15 15 14 13 12 11 10 9 8 8 9 10 12 13 16 18 21 23 24 24 21 18 17 16 15 16 15 15 14 14 13 13 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 13 13 13 13 13 13 12 12 11 10 8 7 6 5 5 5 6 6 8 10 12 13 14 14 13 13 14 15 15 16 15 14 13 12 13 13 14 14 15 15 15 15 14 13 13 13 13 13 14 14 15 15 16 16 16 16 16 16 15 14 12 11 11 11 12 12 10 9 8 8 8 8 9 9 10 10 11 11 11 12 13 14 15 14 13 11 9 8 8 9 11 13 14 14 13 13 12 12 10 9 8 9 11 14 16 19 21 22 24 24 23 21 18 17 16 15 16 16 15 15 14 14 13 13 12 12 12 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 12 12 11 11 12 12 14 14 14 13 11 10 11 11 11 11 nan
nan 13 12 11 10 9 8 8 9 8 8 7 6 5 5 5 6 7 8 10 11 12 13 13 12 11 12 14 16 17 17 15 13 12 12 12 12 13 13 14 14 14 14 13 12 12 12 12 12 12 13 14 14 15 15 14 14 13 13 12 12 11 10 10 11 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 13 13 14 14 13 12 10 8 8 8 10 11 12 13 13 13 13 13 12 11 11 12 14 17 19 22 24 24 24 23 22 20 18 16 15 15 15 16 15 15 15 14 13 13 13 12 12 12 12 12 11 11 12 12 12 13 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 11 13 14 15 14 13 11 10 10 11 11 11 nan
nan 10 9 7 6 5 6 6 7 7 8 8 8 7 7 7 8 9 10 11 11 12 12 12 11 11 12 14 15 15 14 13 11 11 10 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 14 14 13 12 10 9 9 9 10 10 11 12 13 13 13 13 13 13 13 15 17 20 22 24 24 23 22 20 18 16 15 14 14 14 15 15 15 15 14 14 13 13 13 13 12 12 12 12 12 11 11 11 12 13 13 14 13 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 12 12 11 11 12 12 12 12 12 11 11 11 11 10 10 11 12 13 14 14 13 11 10 10 10 11 11 11 nan
nan 7 6 6 6 6 8 10 11 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 10 11 11 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 10 10 11 11 12 12 12 11 11 11 11 11 11 11 10 10 11 12 12 12 13 13 13 13 13 12 11 10 9 9 9 10 10 11 12 13 13 13 13 13 14 15 16 17 18 19 19 18 17 16 15 14 14 14 14 14 15 15 15 14 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 12 12 12 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 12 13 13 13 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 nan
nan 8 8 8 9 10 11 13 14 14 14 14 13 13 13 13 13 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 10 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 12 13 13 13 13 13 12 11 10 9 9 9 10 11 12 12 13 13 13 14 14 14 14 15 15 15 15 15 15 14 13 13 13 13 13 14 14 15 15 14 14 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
11 9 7 4 1 0 0 0 1 2 7 14 20 24 23 27 27 23 17 14 14 19 28 39 43 35 26 21 21 21 20 20 22 27 35 37 39 39 38 36 32 27 25 25 25 23 21 19 19 20 19 18 17 18 19 20 19 17 13 8 4 2 1 0 0 0 1 4 6 6 5 5 7 10 16 24 27 32 41 56 79 140 292 538 817 1048 1188 1237 1226 1186 1166 1270 1411 1552 1665 1726 1723 1650 1570 1524 1524 1552 1617 1697 1772 1828 1852 1864 1905 1933 1935 1916 1895 1894 1914 1961 2029 2069 2056 2044 2030 1982 1811 1470 1226 1016 788 526 288 123 36 7 1 0 0 0 0 0 0 0 8 22 39 48 43 37 33 29 29 19 9 2 0 3 15 27 47 84 143 233 329 416 490 557 617 673 731 792 853 902 955 1019 1091 1163 1230 1260 1228 1149 1044 937 846 771 739 734 714 681 623 551 470
30 22 15 6 0 0 0 0 0 1 4 10 15 18 17 20 20 17 12 9 10 14 22 35 49 47 38 28 22 20 20 20 19 21 25 27 27 26 24 22 21 24 26 26 25 21 18 17 17 19 19 19 19 19 19 18 15 11 8 3 1 0 0 0 0 1 2 4 6 7 8 9 11 15 21 28 32 39 50 68 96 148 296 535 808 1048 1203 1249 1231 1179 1126 1120 1201 1329 1478 1623 1734 1688 1620 1576 1571 1596 1650 1718 1787 1838 1857 1867 1906 1936 1944 1926 1888 1852 1814 1785 1767 1747 1738 1763 1813 1834 1708 1401 1105 810 515 246 106 28 0 0 0 0 0 0 0 0 1 4 12 22 31 34 24 19 18 20 28 33 28 14 6 25 26 21 20 28 53 121 234 346 446 537 619 687 754 822 887 930 960 987 1014 1044 1085 1111 1101 1061 1000 929 845 748 682 654 634 643 664 657 603
47 33 22 13 3 0 0 0 0 0 2 5 9 13 13 14 14 11 8 6 6 8 12 21 37 48 47 39 31 27 29 29 27 27 29 31 31 32 33 33 33 30 27 25 22 18 14 13 15 18 19 20 19 18 15 12 7 5 2 1 0 0 0 0 1 2 2 3 5 7 11 14 16 20 26 33 40 50 67 93 131 194 331 550 809 1056 1238 1285 1233 1170 1145 1168 1252 1344 1452 1592 1767 1749 1699 1660 1646 1655 1688 1731 1780 1817 1830 1837 1862 1888 1904 1898 1866 1799 1708 1613 1533 1480 1463 1484 1537 1565 1440 1154 846 548 287 87 15 0 0 0 0 0 0 0 0 0 2 9 16 19 16 12 9 5 2 3 8 9 5 2 8 43 36 27 18 12 19 49 149 265 377 489 597 678 754 831 902 948 971 981 978 963 962 969 968 954 929 894 855 788 724 679 651 643 639 618 575
69 55 37 21 8 1 0 0 0 0 0 1 4 7 8 9 9 7 5 4 4 4 4 10 21 36 48 50 44 36 33 33 31 31 32 32 31 32 32 30 23 20 20 20 19 16 10 11 13 16 18 19 17 12 8 4 1 0 0 0 0 0 0 1 1 1 1 2 4 8 12 16 20 25 32 41 54 71 95 132 190 274 413 617 854 1085 1267 1332 1332 1301 1288 1343 1444 1514 1561 1626 1745 1780 1764 1741 1727 1727 1735 1743 1763 1785 1800 1810 1827 1845 1860 1865 1853 1774 1663 1550 1454 1381 1335 1319 1329 1308 1146 840 527 268 93 6 1 0 0 0 0 0 0 0 1 2 4 7 10 10 6 3 2 1 1 1 0 0 0 0 0 0 10 20 18 8 8 20 84 178 293 423 555 662 758 845 921 970 1003 1025 1029 1013 993 986 976 953 915 875 856 829 794 753 703 644 580 522 485
67 64 50 33 17 5 2 1 1 1 0 0 1 2 4 5 5 4 3 2 2 3 3 6 13 25 45 60 59 47 34 31 30 30 30 29 27 25 18 12 9 10 12 14 15 13 8 10 13 15 16 16 12 7 2 0 0 0 0 0 1 0 0 0 0 0 1 2 4 8 14 20 27 36 46 59 76 102 137 187 256 349 500 693 899 1086 1218 1232 1216 1243 1336 1495 1634 1665 1659 1662 1706 1770 1776 1770 1768 1775 1776 1765 1766 1777 1794 1810 1825 1833 1832 1821 1800 1721 1623 1515 1404 1293 1210 1168 1131 1044 837 527 253 83 14 1 0 0 0 0 0 0 0 1 2 3 5 5 4 4 4 2 1 1 1 1 0 0 0 0 0 0 4 11 11 5 5 12 44 106 203 344 488 634 765 875 956 1009 1072 1121 1150 1167 1171 1162 1129 1075 1009 963 924 891 861 824 757 652 562 503 474
36 38 35 35 31 21 8 4 2 1 1 0 0 0 1 1 1 2 2 2 3 4 5 7 10 18 36 65 76 63 40 32 30 30 29 28 27 21 14 11 11 11 10 11 12 12 10 11 12 13 13 11 7 4 1 1 1 0 0 0 0 0 0 0 0 0 0 2 6 12 21 29 41 57 78 102 132 169 214 271 343 438 576 751 925 1060 1118 1051 1036 1133 1328 1569 1730 1699 1681 1686 1705 1731 1730 1729 1741 1768 1790 1795 1801 1811 1823 1838 1853 1860 1846 1809 1759 1685 1602 1505 1389 1250 1123 1030 928 777 545 278 94 12 1 0 0 0 0 0 0 0 1 2 3 4 5 5 5 4 3 2 2 2 1 1 0 0 0 0 0 0 1 2 4 4 5 9 23 56 125 267 442 623 787 919 1014 1077 1170 1263 1338 1391 1396 1375 1319 1248 1206 1185 1143 1076 993 915 843 739 642 565 515
10 10 11 15 26 34 30 21 13 7 3 1 0 0 0 1 1 2 3 3 3 4 6 7 8 13 26 55 82 74 49 32 28 27 27 26 26 20 17 16 17 16 14 13 13 11 10 11 12 12 12 9 5 3 1 1 1 1 1 1 1 1 1 1 1 1 2 4 11 24 39 55 76 109 151 197 243 289 340 402 473 559 674 820 947 1006 987 939 925 988 1131 1324 1504 1524 1567 1613 1641 1639 1622 1634 1672 1727 1787 1821 1847 1864 1874 1878 1888 1893 1880 1846 1795 1727 1645 1541 1409 1237 1063 911 746 550 322 124 31 1 0 0 0 0 0 0 0 0 1 2 3 4 5 5 4 4 3 2 2 2 1 1 0 0 0 0 0 0 0 1 2 4 5 8 17 40 94 220 421 636 830 985 1104 1171 1283 1407 1508 1557 1571 1515 1444 1398 1396 1404 1385 1319 1208 1078 987 893 799 710 632
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