Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 7 5 5 4 5 7 8 9 9 8 8 9 10 11 11 10 9 9 10 10 10 9 9 8 8 8 8 7 7 6 5 3 4 5 6 6 6 7 9 14 19 21 18 12 7 5 6 10 13 13 12 10 9 8 8 8 8 8 8 8 8 7 6 6 5 5 5 6 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 7 6 6 5 5 6 7 8 9 10 10 11 11 11 11 13 15 15 15 14 14 14 14 13 12 11 10 10 10 9 9 9 9 10 10 11 11 11 10 10 8 7 6 6 5 5 5 6 7 8 7 6 5 5 4 5 6 7 6 6 6 7 7 6 6 7 8 8 8 9 8 8 7 6 6 7 8 8 8 9 11 12 13 12 10 8 6 6 7 8 9 10 9 9 8 8 7 nan
nan 7 6 6 6 5 6 8 9 10 10 10 10 10 11 10 9 7 5 5 5 6 7 8 8 7 7 7 7 7 6 6 6 5 6 6 7 6 6 6 8 11 16 18 16 13 10 8 7 9 12 13 11 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 8 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 5 4 4 4 5 6 6 7 8 8 9 10 10 11 11 13 15 15 14 13 13 13 13 13 12 10 9 9 9 8 8 9 9 9 10 11 11 11 10 10 9 8 6 6 6 6 6 6 6 7 8 7 7 6 5 5 6 7 7 6 7 7 7 7 7 8 8 9 9 10 10 9 8 7 7 7 8 8 9 10 11 12 12 12 10 9 7 7 7 8 10 10 9 8 9 8 7 nan
nan 5 5 6 7 8 9 10 11 11 11 12 12 12 12 10 8 6 4 4 4 5 7 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 9 9 9 11 14 15 14 12 11 9 7 7 10 11 11 10 9 10 10 10 10 10 9 9 8 7 7 6 7 8 10 11 11 10 9 9 8 8 8 9 8 8 8 8 8 8 8 7 7 6 6 5 4 3 3 4 4 5 6 6 6 7 7 8 9 10 10 11 13 14 14 13 12 12 13 13 13 13 11 10 8 8 8 8 8 9 9 10 11 11 11 11 11 10 8 7 5 5 6 6 7 7 7 7 8 8 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 10 11 12 11 10 9 9 9 9 9 9 10 11 11 11 10 10 9 8 7 7 8 9 10 9 9 9 8 7 nan
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nan 8 7 7 8 9 9 9 7 7 7 8 8 8 8 8 9 10 10 12 14 16 17 18 19 18 17 16 15 13 10 8 8 8 8 8 7 7 7 7 8 10 12 15 17 17 17 15 13 12 12 11 11 11 11 11 12 13 14 14 14 14 14 14 14 14 14 16 20 23 25 21 11 3 0 1 4 7 9 10 11 11 11 11 11 12 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 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 9 9 8 8 8 9 10 10 11 11 11 11 11 12 11 11 10 10 9 9 10 11 11 12 11 11 11 10 11 11 10 10 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 10 9 9 9 8 8 7 nan
nan 10 11 11 10 10 10 10 10 9 9 8 7 6 6 6 8 9 10 11 12 13 14 16 17 15 12 10 9 9 9 10 10 11 12 11 11 10 9 8 10 13 16 19 20 19 17 15 13 12 12 11 10 10 10 11 12 13 13 13 13 13 13 13 14 15 16 18 20 23 23 19 11 4 1 1 3 7 9 10 11 11 11 11 11 11 12 12 13 13 14 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 14 14 13 13 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 8 7 7 nan
nan 12 14 14 12 11 10 11 12 11 10 7 5 4 3 5 7 9 9 9 9 10 10 11 10 7 5 4 6 8 11 13 14 14 14 14 13 11 10 10 13 17 21 23 23 20 16 13 12 11 10 10 10 10 10 11 11 12 12 11 11 11 11 13 15 16 17 18 17 18 19 16 10 4 2 2 4 7 9 10 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 14 14 14 14 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 8 7 8 nan
nan 10 11 12 11 10 10 11 12 11 9 6 4 3 3 5 7 9 9 9 8 7 5 4 3 3 3 6 9 12 14 15 15 15 15 14 12 11 10 11 15 19 22 23 21 16 12 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 13 16 17 17 15 13 14 14 12 8 4 3 3 5 8 10 10 11 11 12 12 11 11 10 11 11 12 13 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 12 13 14 14 14 14 14 13 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 9 9 8 8 7 7 9 nan
nan 6 6 7 7 7 8 9 10 9 8 6 5 5 5 6 7 8 8 8 8 6 3 3 4 5 7 9 12 14 15 14 14 13 13 12 10 9 8 10 15 18 20 18 14 9 6 7 9 10 11 11 11 11 11 11 11 11 11 10 11 12 13 15 16 17 16 14 12 11 11 9 7 5 4 6 8 10 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 13 13 14 14 14 13 13 13 13 13 14 14 13 13 13 12 12 12 11 11 11 12 13 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 6 7 9 10 nan
nan 5 5 5 5 5 6 7 8 8 8 8 8 9 8 9 9 9 9 8 7 5 4 5 6 7 9 10 11 13 13 12 12 11 10 9 6 4 5 7 11 13 12 9 5 3 4 6 9 11 12 11 11 11 11 11 11 11 11 11 12 13 15 16 17 17 15 13 11 10 9 7 5 5 6 8 10 11 11 12 12 12 13 13 13 12 12 12 11 11 11 11 11 12 12 13 13 13 14 14 14 14 14 14 14 13 13 12 12 12 11 11 11 12 12 13 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 6 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 6 6 7 7 9 10 11 nan
nan 6 6 6 6 6 6 6 7 8 9 10 10 10 10 11 11 11 10 9 8 7 7 7 8 9 10 11 13 13 13 12 12 11 8 5 1 1 2 4 6 5 3 1 1 3 6 8 10 11 11 11 11 11 11 10 11 11 11 12 14 16 17 17 17 17 15 13 11 9 7 6 4 5 7 9 11 12 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 11 11 12 12 13 13 14 14 14 14 14 13 13 12 12 11 11 11 11 12 12 13 14 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 9 10 10 10 11 nan
nan 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 9 11 12 13 13 12 12 12 13 15 16 14 13 12 12 10 6 2 -1 0 2 3 3 2 0 1 3 7 9 10 11 11 11 11 11 10 10 10 11 11 13 14 16 17 17 17 17 16 14 12 10 8 7 6 6 7 9 11 12 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 13 13 14 13 13 12 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 6 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 9 8 8 8 8 9 10 10 10 11 11 11 10 nan
nan 9 9 10 10 10 10 10 10 10 10 9 8 6 4 3 3 4 7 12 16 18 18 17 16 16 17 17 16 13 10 8 7 6 3 1 0 2 4 5 4 3 3 5 7 9 11 11 11 10 10 10 10 10 11 11 12 13 14 16 17 17 16 15 14 14 12 11 10 9 9 9 9 10 11 12 13 13 13 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 13 13 13 12 13 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 8 7 6 6 5 5 5 5 6 6 7 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 nan
nan 9 9 10 11 11 10 9 9 9 9 9 8 7 5 3 3 4 7 11 16 18 18 18 17 18 18 17 15 11 7 3 -0 -1 1 2 3 5 7 8 8 8 8 8 10 10 11 10 10 10 10 10 10 11 11 12 13 15 16 17 16 15 14 13 12 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 6 6 6 7 7 7 8 9 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 8 9 10 11 11 11 11 10 10 9 9 10 10 9 nan
nan 8 8 9 10 10 10 8 8 8 9 10 11 10 8 6 6 6 8 10 13 15 17 18 18 18 17 16 13 10 5 0 -4 -4 0 5 7 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 16 16 16 15 14 12 11 10 10 10 10 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 14 14 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 10 10 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 7 7 7 8 9 11 12 12 12 11 11 10 10 10 10 10 10 9 nan
nan 7 7 8 9 10 10 9 8 8 9 10 11 10 8 7 6 5 7 9 13 16 19 20 20 18 15 13 11 8 4 -1 -4 -3 2 8 10 11 12 11 11 12 13 13 12 11 10 9 9 10 10 10 11 11 12 14 15 16 16 15 14 13 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 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 10 11 11 11 12 12 12 11 11 11 10 10 11 11 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 10 9 8 8 8 9 9 9 8 8 8 9 10 11 12 12 12 12 12 12 12 11 10 10 9 9 nan
nan 7 6 7 9 11 11 11 10 9 9 8 8 6 5 3 2 1 4 9 14 19 22 23 21 15 10 8 7 6 3 -1 -4 -2 3 8 10 11 11 10 10 11 12 13 12 11 10 9 9 9 9 10 11 12 14 15 16 16 16 15 14 12 11 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 10 10 10 10 11 11 11 12 12 12 11 11 11 12 12 12 12 11 11 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 11 11 11 11 11 11 11 12 12 11 11 10 9 7 6 7 8 10 11 10 10 9 9 9 9 10 11 11 11 11 12 12 11 11 10 9 8 9 nan
nan 7 6 7 9 11 12 12 11 10 9 8 6 5 4 3 2 1 3 8 13 19 22 21 17 10 4 3 3 3 3 -1 -2 -0 4 8 9 10 10 9 9 10 11 12 12 11 11 10 9 9 9 10 11 13 15 16 16 16 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 7 6 7 8 10 12 12 11 10 9 9 9 9 10 10 10 10 10 11 11 10 9 8 8 7 8 nan
nan 7 6 7 9 11 12 12 11 10 9 8 8 8 7 8 8 8 7 8 11 14 17 16 12 5 -0 -1 -0 1 2 2 2 4 7 9 10 10 10 9 9 9 10 11 11 12 11 10 9 9 9 10 11 13 16 17 17 17 15 14 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 9 9 8 7 7 8 9 10 10 10 8 8 9 10 12 12 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 nan
nan 5 5 7 9 12 13 13 12 9 7 6 7 9 11 13 15 15 13 11 10 10 12 12 9 4 0 -2 -2 -0 2 4 6 8 10 12 13 12 11 10 9 9 9 9 10 11 12 11 10 9 8 9 10 13 16 17 17 17 15 13 12 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 13 13 13 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 12 12 11 11 11 10 10 10 10 10 11 11 11 12 13 14 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 8 7 6 6 7 8 9 10 11 12 11 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 9 8 nan
nan 4 4 6 9 13 16 16 14 9 5 3 4 6 10 15 18 19 16 14 12 11 11 10 9 6 3 0 -1 -0 2 5 8 11 13 15 15 14 12 10 9 8 8 8 9 10 11 11 9 8 8 8 10 13 16 17 17 16 15 13 11 11 10 10 10 10 10 11 11 10 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 10 10 10 10 10 10 10 11 11 10 9 9 8 7 7 7 7 8 9 10 11 12 12 12 11 11 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 nan
nan 7 4 5 7 11 16 18 15 11 7 4 4 4 6 11 15 17 16 14 12 11 10 10 8 7 5 3 2 2 5 8 11 13 15 16 15 14 12 10 9 8 7 8 9 10 11 10 9 8 7 8 11 14 16 17 16 15 13 12 11 11 10 10 10 10 11 11 11 11 11 10 9 9 9 9 8 8 8 9 9 9 10 10 10 10 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 13 12 11 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 7 7 7 8 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 11 11 10 nan
nan 14 10 7 7 8 12 14 14 12 9 7 5 4 3 5 8 10 11 11 10 9 9 9 8 8 7 7 7 7 9 11 13 14 15 15 14 12 10 9 8 8 8 9 9 10 10 9 8 7 7 8 11 14 16 17 16 14 12 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 9 9 10 9 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 11 11 12 12 11 11 10 10 10 11 11 10 10 10 10 9 8 8 7 7 7 7 8 9 10 11 11 11 11 10 10 9 9 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 nan
nan 20 17 14 10 7 7 9 10 10 9 8 7 5 4 4 4 5 5 6 6 7 8 8 9 10 10 11 12 12 13 14 14 14 14 13 12 10 9 8 7 8 8 9 9 9 9 9 8 7 7 9 12 15 17 17 16 14 12 10 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 10 10 10 10 10 11 11 12 13 13 14 14 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 7 6 6 6 7 7 8 9 10 11 11 11 10 10 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 nan
nan 18 18 16 12 9 7 7 8 8 7 7 6 7 8 8 7 7 6 6 7 8 8 9 10 11 12 14 15 16 15 15 15 14 13 12 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 10 13 16 17 17 16 14 12 10 9 9 9 10 10 10 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 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 10 11 12 14 15 15 15 15 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 7 7 7 8 8 9 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 nan
nan 15 15 13 11 8 8 7 7 7 6 6 6 9 12 14 14 13 12 11 11 11 11 11 10 11 11 13 15 16 16 16 15 14 13 11 10 8 7 6 6 6 6 7 8 8 9 9 9 10 11 13 15 18 19 18 16 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 11 12 13 14 14 15 14 13 12 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 8 8 7 7 7 8 8 8 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 11 12 11 11 10 10 10 9 9 10 10 10 11 10 10 10 10 10 10 11 10 10 10 nan
nan 16 14 12 10 8 8 8 7 6 5 5 7 10 13 15 16 16 15 14 12 11 11 10 10 9 10 11 13 15 15 15 15 14 13 11 10 8 7 6 6 7 7 8 9 9 9 9 10 11 13 15 17 19 19 19 17 14 13 12 12 12 12 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 12 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 9 11 12 12 11 11 10 10 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 17 14 11 9 9 9 9 8 7 6 6 8 10 12 13 13 14 14 12 11 10 10 10 10 10 10 11 13 14 15 15 14 13 12 10 9 8 7 7 7 8 9 10 10 11 11 11 11 13 15 17 18 18 18 18 16 15 14 14 13 13 13 12 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 12 11 10 9 8 9 10 10 10 10 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 7 7 8 8 7 7 8 10 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 nan
nan 16 12 10 8 9 10 11 10 9 8 9 10 11 11 11 11 11 11 11 11 11 11 12 13 14 15 16 16 16 15 15 13 11 10 9 9 8 8 8 8 9 9 10 11 12 13 13 14 15 17 18 19 18 17 16 15 15 14 14 14 14 13 12 11 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 12 12 12 12 12 11 10 9 8 8 9 10 10 10 9 8 8 9 11 12 12 11 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 10 10 8 8 8 8 8 7 7 8 10 11 12 11 10 9 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 nan
nan 11 8 6 7 9 10 10 10 9 9 9 10 11 10 10 10 10 10 11 12 13 14 15 18 20 21 20 19 18 17 15 13 10 8 7 8 9 10 10 10 10 10 11 11 13 14 15 15 17 18 18 18 17 16 16 15 15 14 14 14 13 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 12 13 13 13 12 12 12 12 12 12 11 12 11 11 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 9 8 8 8 8 9 9 9 9 8 8 9 10 12 12 11 11 10 9 9 9 9 9 9 9 9 8 7 7 6 7 8 9 9 9 9 9 10 10 9 10 10 10 10 9 8 8 10 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 11 11 10 9 9 8 8 nan
nan 7 5 5 7 8 8 7 7 7 7 8 10 11 12 12 11 10 9 10 12 14 16 19 21 22 22 20 18 16 15 14 12 9 8 7 8 9 11 12 12 11 11 11 12 13 14 15 16 16 16 16 16 17 17 17 17 16 15 14 14 13 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 12 13 13 13 12 12 12 12 12 13 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 10 9 9 8 8 7 7 8 8 9 9 9 8 8 9 10 11 12 12 11 10 10 9 9 9 9 9 9 9 9 7 6 7 7 8 9 10 10 10 9 9 9 9 9 10 11 12 12 10 9 9 10 10 11 10 10 10 11 12 13 13 13 12 12 11 12 13 13 13 13 11 9 7 7 nan
nan 5 5 7 8 7 7 6 6 6 8 10 11 13 14 13 11 9 8 9 11 13 16 18 20 20 18 16 13 12 11 11 10 9 8 8 8 9 11 12 12 12 12 12 12 13 14 15 15 15 14 13 13 15 17 18 18 18 17 15 14 12 11 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 11 12 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 8 8 9 10 11 12 12 12 11 11 10 9 9 9 9 8 8 8 7 6 7 8 9 10 10 10 10 10 10 10 9 8 9 9 10 11 11 10 9 9 9 10 10 9 10 11 12 14 15 16 16 15 14 14 14 14 14 13 12 11 9 7 7 nan
nan 6 7 8 8 7 6 6 7 9 11 13 14 15 14 13 10 7 6 7 9 10 11 12 14 15 13 12 11 10 10 10 9 9 9 9 9 10 11 11 11 11 11 12 12 12 14 15 14 13 12 10 11 13 15 17 18 18 17 16 14 12 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 10 12 12 13 13 12 12 12 12 12 12 11 11 12 12 12 13 12 12 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 11 12 13 13 12 12 11 11 10 9 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 9 9 9 9 10 9 9 10 11 12 12 13 14 16 17 18 18 18 17 15 13 11 10 10 10 11 nan
nan 9 9 9 8 7 7 7 8 11 13 15 16 16 14 13 10 7 5 6 7 7 6 6 8 10 11 12 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 14 14 13 11 9 9 10 12 14 15 16 16 15 13 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 8 7 8 9 10 11 12 12 12 12 12 12 12 11 11 11 12 13 14 14 14 13 12 12 12 12 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 11 12 13 13 13 12 12 11 10 9 8 8 8 8 8 7 8 8 9 9 10 10 9 9 9 10 10 9 9 8 8 8 9 9 10 9 9 9 10 10 10 9 10 10 10 9 7 7 9 12 15 17 19 19 17 15 13 12 13 14 15 nan
nan 11 11 9 8 7 7 7 8 10 13 15 17 17 16 14 11 8 6 6 6 6 5 6 7 10 12 13 14 13 12 10 9 8 8 8 8 9 9 10 10 10 10 10 11 12 14 15 15 14 12 10 9 10 10 11 12 13 14 13 13 12 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 8 9 10 11 12 12 12 11 11 11 11 10 10 10 11 13 13 13 13 13 13 13 12 12 11 10 10 9 10 9 9 9 9 8 8 7 7 8 9 9 10 12 12 13 13 13 12 12 11 9 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 10 9 9 9 9 8 9 9 10 11 11 10 10 10 10 10 10 9 9 9 8 6 3 2 3 5 8 12 14 15 15 15 14 14 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 6 6 7 7 4 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 0 108 297 424 492 558 651 722 760 776 772 760 753 758 778 811 851 889 929 971 1015 1057 1076 1038 962 883 809 744 691 656 632 609 582 555 525 490 452 412 368 328 291 248 204 173 150 128 102 76 50 27 11 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 3 6 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 37 180 329 424 525 668 743 794 824 826 816 805 803 812 836 870 904 943 987 1032 1073 1090 1062 1002 936 875 817 766 729 699 669 625 586 553 524 497 463 420 379 341 297 248 204 172 146 119 94 66 35 9 0 0 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 5 6 5 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 0 0 0 8 99 260 410 546 682 768 828 866 873 864 851 843 844 858 888 919 958 1004 1050 1087 1103 1087 1046 990 933 878 830 792 758 719 664 614 580 557 537 506 474 439 402 359 300 227 179 152 126 98 63 27 0 0 0 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 6 5 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 0 0 0 0 1 48 191 348 512 671 779 855 895 906 900 886 875 873 882 911 940 979 1023 1065 1099 1115 1113 1088 1043 989 935 885 841 799 752 698 650 616 590 561 511 483 451 417 374 311 230 177 160 117 70 33 11 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 102 223 416 629 753 847 899 919 924 916 904 900 910 933 963 1001 1042 1079 1109 1129 1135 1123 1092 1046 990 932 882 833 786 740 698 663 629 579 488 447 415 382 342 288 226 181 147 76 27 7 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
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