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 11 11 11 11 12 12 13 13 14 15 17 20 23 25 25 22 19 17 15 13 12 11 10 10 9 7 6 6 7 7 8 8 8 7 6 5 5 5 7 8 7 7 6 7 7 7 7 6 7 7 7 8 8 9 8 7 6 6 7 9 11 11 9 7 6 5 5 5 5 6 7 8 8 8 8 8 7 6 7 7 8 9 10 11 11 11 11 11 11 10 10 8 6 6 6 6 7 8 10 10 9 9 9 9 9 8 9 9 10 10 10 9 9 10 10 10 10 11 11 10 10 9 9 9 9 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 6 5 5 5 6 7 8 9 9 9 8 8 9 10 11 12 12 12 10 9 7 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 8 8 nan
nan 10 10 10 10 11 12 12 12 13 13 14 16 19 22 23 23 22 20 18 15 13 12 11 11 9 8 6 6 7 7 8 9 9 8 6 5 5 5 7 8 7 6 6 6 6 7 7 7 7 7 8 9 10 10 10 9 8 8 9 11 13 13 10 7 5 4 4 5 6 8 8 7 7 7 6 6 6 5 5 6 7 9 10 11 11 10 10 10 10 9 9 8 8 8 9 9 9 10 11 11 11 10 10 10 9 8 8 9 10 11 10 9 9 9 9 10 10 10 10 9 9 8 8 9 10 10 9 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 7 6 6 6 7 8 8 9 9 9 9 9 9 10 11 12 12 11 11 10 9 8 7 6 6 6 7 8 8 8 7 7 7 7 8 7 6 6 6 7 8 8 8 nan
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nan 8 7 6 6 6 8 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 10 11 12 12 13 13 14 15 15 15 14 13 12 12 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 10 11 13 14 14 13 12 11 10 9 9 9 10 11 12 13 13 13 12 12 12 11 11 12 12 11 11 10 9 9 7 5 4 4 4 5 6 7 8 8 9 9 10 11 12 12 11 10 9 9 10 10 9 9 9 10 10 11 11 11 11 11 12 12 12 11 10 8 8 9 9 9 9 9 9 9 9 8 6 5 5 6 9 12 13 13 11 10 10 10 9 9 9 9 8 8 8 9 10 11 11 10 10 10 nan
nan 10 9 8 7 6 6 8 8 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 10 11 12 13 13 13 13 13 14 13 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 11 13 13 13 13 12 11 11 10 10 11 12 14 15 16 16 14 12 11 10 11 12 13 13 12 11 11 10 10 8 7 5 4 3 4 5 6 7 8 8 9 10 11 12 12 12 10 9 8 9 9 9 9 9 9 10 11 11 10 10 10 11 12 13 12 11 10 10 11 11 11 11 10 9 8 8 6 4 3 3 5 8 11 13 13 12 11 10 10 9 9 9 9 9 8 7 8 9 10 11 10 10 10 nan
nan 12 12 11 9 8 7 8 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 11 12 12 12 12 12 12 11 11 11 11 12 14 15 17 18 17 15 13 11 10 11 12 12 12 12 12 11 11 10 9 8 6 5 4 4 5 6 7 7 8 8 9 11 12 13 13 11 9 9 9 9 9 9 9 9 10 10 11 10 10 10 11 12 12 12 11 10 11 12 12 12 13 13 12 10 8 6 5 4 4 6 8 10 13 14 13 12 11 10 9 9 9 9 9 8 7 7 8 10 11 11 11 10 nan
nan 13 13 12 12 11 11 10 10 10 10 10 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 11 12 13 14 14 14 14 14 13 12 12 12 11 11 11 10 10 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 8 9 10 11 11 12 12 11 11 11 11 12 11 11 11 12 13 14 16 17 17 16 15 13 11 11 11 11 12 12 12 12 11 10 9 8 7 5 5 4 5 5 6 7 8 8 9 10 12 13 13 12 10 9 9 9 9 9 9 9 10 10 11 10 10 9 10 11 11 11 10 10 11 12 13 14 15 15 15 14 12 9 8 7 7 7 8 10 12 13 14 13 12 10 9 9 9 9 9 8 7 7 7 9 11 11 11 10 nan
nan 14 13 13 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 10 10 11 12 14 15 15 14 14 15 14 14 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 12 12 12 12 11 10 11 12 13 15 15 16 15 14 12 12 12 12 12 12 12 11 11 10 10 9 7 6 5 4 4 5 6 7 8 8 9 10 12 13 13 12 11 9 9 9 9 8 9 9 10 11 11 11 10 10 9 9 10 10 10 11 11 12 13 14 15 15 15 14 13 11 10 9 8 7 7 8 9 12 14 15 14 12 11 10 9 9 9 8 7 7 7 9 9 9 8 6 nan
nan 15 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 14 15 15 15 15 15 14 13 12 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 9 10 10 9 8 7 7 6 6 7 8 9 10 11 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 10 12 13 14 15 14 13 12 12 12 12 13 13 12 12 11 11 10 9 8 7 6 5 4 5 6 7 8 8 9 10 12 13 13 12 10 9 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 10 10 11 11 12 12 12 12 12 12 12 11 10 9 8 8 7 7 6 7 10 14 16 16 14 12 10 9 9 9 8 7 7 8 7 5 3 2 2 nan
nan 15 13 11 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 10 11 11 12 12 12 13 12 13 12 12 12 13 14 15 15 14 13 12 11 11 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 8 9 10 10 10 10 9 9 9 10 9 9 8 7 6 6 7 8 9 10 11 10 10 10 10 10 10 11 11 11 11 12 12 11 10 10 10 11 12 13 13 13 12 11 11 11 12 13 13 13 12 11 11 10 10 10 9 8 6 5 5 6 7 7 8 9 10 12 13 13 12 10 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 10 9 9 9 8 8 7 7 8 8 7 6 7 10 14 16 16 15 12 10 9 9 9 8 6 6 5 2 -1 -3 -2 2 nan
nan 14 13 12 11 10 9 9 10 10 10 10 11 11 11 11 12 12 12 12 13 13 14 14 14 14 13 12 11 10 10 11 13 14 14 14 13 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 10 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 7 8 8 9 10 10 11 11 11 11 10 11 11 11 10 10 11 12 11 10 10 10 11 11 12 12 11 11 10 10 10 12 13 14 14 13 12 11 11 11 11 11 10 8 7 6 6 6 7 8 9 10 11 12 13 12 10 8 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 6 6 6 6 8 8 9 8 8 10 13 15 17 15 12 10 9 9 9 7 4 1 -1 -3 -3 -2 2 6 nan
nan 13 12 12 11 10 10 9 9 9 10 10 10 10 10 10 11 11 12 13 14 15 16 15 15 14 13 12 11 10 11 12 13 13 13 13 12 11 10 9 9 9 10 11 12 12 12 12 11 11 11 11 11 12 12 11 10 9 8 9 9 10 10 10 10 9 8 8 8 8 9 10 10 9 8 8 8 8 9 10 11 11 11 11 11 11 12 11 11 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 13 14 14 14 12 11 11 11 11 11 11 10 9 8 7 7 7 8 9 10 11 12 13 12 10 8 8 9 11 12 12 12 13 13 13 12 11 11 10 10 10 10 10 10 9 9 8 8 8 7 6 6 5 5 5 6 7 9 10 9 9 10 13 17 19 18 14 11 9 9 9 7 4 -0 -1 -0 3 7 10 11 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 11 12 13 14 15 15 14 14 14 13 11 11 12 13 14 14 13 12 11 10 9 9 8 9 10 11 12 12 12 12 11 11 11 11 11 11 12 11 11 10 9 8 9 10 10 10 9 9 8 8 8 8 9 10 10 9 8 8 7 8 9 10 10 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 10 11 11 11 12 12 12 12 12 11 11 10 10 10 11 12 11 10 9 8 8 8 8 9 10 11 12 13 12 10 8 7 8 10 12 13 13 14 13 12 11 10 10 9 9 9 9 9 10 9 9 9 8 7 6 6 5 4 4 4 6 8 10 11 11 11 13 15 19 21 20 17 13 9 8 8 8 5 3 3 5 9 11 12 12 nan
nan 10 10 10 10 11 11 10 10 10 9 9 9 8 8 8 8 8 9 11 12 13 14 14 15 15 15 13 11 11 11 12 13 13 12 11 10 10 10 9 9 9 10 11 11 12 12 11 11 11 11 10 10 11 11 11 10 10 9 8 9 9 10 10 10 10 9 9 9 10 10 10 10 9 8 7 7 8 9 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 10 11 11 11 11 10 9 9 8 8 8 9 10 12 13 12 11 9 6 5 7 8 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 4 4 3 4 7 9 12 13 12 13 15 17 20 20 20 18 14 9 7 6 6 7 8 9 11 12 13 12 11 nan
nan 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 12 13 14 14 15 15 14 13 12 11 11 12 13 12 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 9 10 10 11 11 11 11 11 11 11 11 11 10 8 7 7 7 8 9 10 10 11 11 10 10 9 9 9 10 11 10 9 8 7 8 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 7 8 10 11 12 12 11 9 6 5 5 5 6 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 8 6 5 4 3 3 4 6 9 12 13 13 13 14 15 17 18 17 16 15 13 11 9 8 8 10 12 13 15 17 17 15 13 nan
nan 9 9 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 13 14 14 14 13 13 12 11 11 11 11 12 11 10 10 9 9 9 11 11 12 11 11 10 10 11 11 11 11 10 10 9 9 9 10 10 10 9 9 10 10 11 11 11 11 11 12 12 12 11 10 9 8 7 7 7 8 9 10 11 11 11 11 10 9 9 10 11 11 11 10 8 7 8 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 8 7 5 5 6 7 9 10 11 12 13 12 10 8 7 6 6 6 7 8 9 9 10 10 9 9 9 8 8 9 8 6 4 2 1 1 1 3 6 9 12 13 14 13 13 14 15 16 15 13 10 7 8 8 9 11 11 12 13 15 17 19 19 17 14 nan
nan 10 9 8 9 9 10 10 10 10 10 9 9 10 10 10 10 9 10 10 12 13 14 14 13 12 11 11 11 11 11 10 11 10 10 9 9 9 10 11 11 11 11 10 9 9 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 7 7 7 8 9 11 11 12 11 11 10 10 10 11 12 13 13 12 10 9 9 9 10 9 9 8 8 8 8 8 8 9 10 10 10 10 11 11 11 11 11 10 9 8 7 7 7 6 5 5 5 6 7 8 9 10 11 12 13 12 12 12 11 10 8 7 6 7 8 9 10 10 10 9 9 8 7 5 2 0 -1 -0 1 3 7 10 12 12 13 13 14 15 17 18 18 16 12 7 4 4 5 7 10 12 12 13 15 17 18 18 16 13 nan
nan 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 12 13 14 14 13 12 12 11 11 11 10 10 9 9 9 9 9 10 11 11 10 10 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 9 11 11 11 10 9 9 9 10 11 12 13 14 12 11 10 10 10 11 11 11 10 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 10 9 8 7 7 7 6 6 7 7 8 9 10 10 11 12 12 12 12 13 14 15 13 11 8 5 5 7 8 10 10 8 7 5 4 2 1 0 0 2 4 7 10 12 12 12 12 13 15 17 20 22 22 22 20 17 12 9 8 8 10 11 13 14 16 18 19 18 17 15 12 nan
nan 9 9 10 10 11 12 12 12 10 9 9 8 8 8 9 9 9 10 11 12 13 13 14 14 13 13 12 11 11 10 9 9 8 8 8 10 11 11 11 10 9 9 8 8 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 9 10 10 11 10 9 7 7 8 9 10 11 12 12 11 11 11 11 10 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 11 9 9 8 8 8 8 8 8 8 9 10 11 12 13 13 13 13 12 11 12 12 14 15 15 14 11 7 7 8 8 8 5 2 1 1 1 1 2 4 7 9 12 13 14 14 13 14 15 17 19 22 24 24 23 21 20 18 16 13 12 12 13 15 16 18 21 22 21 19 16 13 11 nan
nan 10 9 10 11 12 12 12 11 10 9 9 8 8 8 8 8 9 10 11 12 12 13 13 13 13 13 13 11 10 10 9 9 8 8 9 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 11 10 8 7 7 7 8 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 9 8 7 7 8 9 9 9 9 10 12 13 13 14 15 15 15 13 12 12 13 14 14 14 14 14 13 11 10 9 8 4 1 -0 1 3 5 7 10 12 15 16 17 16 15 16 17 19 20 21 22 23 23 20 17 15 13 11 10 10 11 12 14 16 19 22 25 24 21 17 13 11 10 nan
nan 9 9 9 10 11 12 11 10 9 9 9 9 8 8 8 8 9 10 11 12 12 12 13 13 13 13 13 11 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 11 10 10 10 9 9 10 10 10 10 10 10 10 11 10 10 10 11 11 11 12 12 11 10 9 7 7 7 8 9 10 10 10 11 12 12 13 14 15 15 14 13 13 14 15 15 14 13 13 14 15 15 14 12 8 5 4 5 8 11 13 15 17 19 19 19 16 15 16 18 20 20 19 18 18 17 15 12 9 7 6 5 5 7 10 13 16 19 21 24 24 20 16 12 9 9 9 nan
nan 8 8 9 10 11 11 10 9 9 9 10 10 9 8 8 8 9 10 11 11 11 12 12 13 13 13 13 12 11 10 10 9 9 10 10 10 10 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 8 7 7 7 8 10 10 10 10 10 10 10 11 12 12 12 12 13 15 16 16 15 13 12 13 15 16 17 16 14 11 9 10 11 13 15 16 18 18 19 17 15 12 11 13 15 15 13 11 11 10 10 9 7 6 6 6 7 9 12 14 16 18 19 21 21 18 15 12 9 8 9 9 nan
nan 7 8 9 10 10 10 10 9 9 9 9 10 9 9 8 8 8 9 10 11 11 11 12 13 13 13 13 12 11 11 10 9 9 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 5 5 5 5 5 6 6 7 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 11 13 15 15 15 13 11 11 12 14 16 16 15 13 12 12 12 13 13 14 15 16 15 14 11 8 7 8 11 12 12 10 9 9 9 9 10 10 10 10 10 12 14 15 16 16 16 17 17 16 14 12 11 10 10 11 11 nan
nan 8 9 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 11 12 13 13 13 12 12 11 11 10 10 10 10 11 11 11 10 10 11 11 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 5 5 6 7 8 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 8 7 8 9 10 10 10 10 10 9 9 9 9 9 9 10 11 12 13 13 12 11 10 10 11 12 12 12 11 11 10 11 11 11 11 12 12 12 11 10 9 9 10 12 14 16 16 16 15 14 14 15 15 16 15 13 12 12 13 13 13 13 13 13 13 12 12 11 11 12 12 13 13 nan
nan 9 10 10 10 9 9 9 8 8 9 9 9 8 8 7 6 6 6 7 8 9 10 11 12 12 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 7 8 8 8 7 6 6 6 6 6 7 8 8 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 7 7 8 10 10 10 11 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 8 9 9 10 10 10 10 9 9 9 11 11 12 11 10 11 13 16 17 19 19 19 19 18 18 17 17 17 17 16 15 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 14 14 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 6 5 5 6 7 8 9 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 9 10 11 11 11 11 10 10 9 9 9 10 10 11 11 9 8 7 8 9 9 9 8 8 9 9 9 9 9 9 9 10 11 12 13 12 13 15 16 18 18 18 17 16 15 14 13 13 14 14 13 13 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 12 13 13 nan
nan 10 10 10 10 9 9 9 10 10 10 10 9 9 8 7 6 5 5 5 5 7 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 11 11 10 10 9 9 8 8 7 7 8 9 9 9 9 11 12 11 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 7 6 6 7 8 10 11 12 12 11 10 10 10 9 9 8 8 8 8 7 6 6 7 8 9 9 9 9 9 9 8 7 8 9 10 12 13 14 15 15 15 15 15 15 14 13 12 12 11 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 10 11 11 11 11 11 11 11 11 12 12 nan
nan 10 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 5 5 6 7 7 8 8 7 7 6 6 6 7 8 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 7 7 8 8 9 10 11 12 12 11 10 9 9 10 11 11 10 10 10 10 10 11 12 13 13 13 12 11 11 11 11 10 9 9 9 10 10 10 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 8 7 6 7 7 9 10 11 12 11 10 9 9 9 9 7 6 4 3 3 3 3 4 6 7 8 9 9 9 9 7 5 4 6 9 12 14 14 14 15 15 14 13 12 12 11 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 10 nan
nan 11 11 11 10 10 10 11 11 11 10 10 10 10 10 9 8 7 7 6 7 8 8 9 8 8 7 6 6 6 7 7 8 9 9 10 10 10 9 8 8 8 8 9 9 10 10 9 9 8 9 9 9 9 9 8 8 7 8 8 9 10 11 12 12 11 11 10 10 11 11 10 10 9 9 9 9 10 11 13 14 15 15 15 14 14 12 10 8 8 9 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 9 10 10 10 9 8 7 8 9 9 7 5 2 -0 -1 -0 1 2 3 4 5 7 8 8 8 5 3 4 6 10 13 13 12 13 14 14 13 12 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 nan
nan 11 10 10 10 10 11 11 11 11 10 10 10 10 10 9 8 8 8 8 9 10 10 10 9 8 8 7 7 7 7 7 8 9 9 10 10 10 10 9 8 9 9 9 10 10 10 9 8 8 8 8 9 9 9 8 8 9 9 9 10 10 11 11 11 11 11 10 10 11 11 10 9 8 7 7 8 8 9 10 12 14 17 19 20 19 16 12 10 8 9 11 14 15 15 15 15 15 14 13 13 13 13 12 12 11 11 10 9 9 9 9 8 8 8 8 7 7 6 5 5 5 7 9 9 9 7 5 3 2 2 2 2 2 2 4 7 9 9 8 6 6 8 11 13 14 12 11 11 12 13 12 11 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 11 10 9 9 10 11 11 11 11 11 12 12 11 11 10 9 8 9 9 10 11 11 10 10 9 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 8 8 7 7 7 6 7 8 10 13 16 20 21 19 17 14 12 11 12 14 16 17 17 17 16 16 16 16 15 13 12 12 11 11 10 9 9 9 8 8 7 5 4 3 3 2 3 4 6 8 9 10 10 10 10 9 8 7 6 6 6 7 8 10 12 13 12 12 13 15 16 16 15 12 11 11 11 12 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 10 9 8 9 10 10 11 11 11 11 12 12 11 11 10 9 9 9 10 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 8 8 7 6 7 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 6 6 6 6 7 8 11 15 16 17 17 15 15 15 15 15 16 15 15 15 15 15 15 14 13 12 12 11 10 9 9 9 9 9 8 7 4 3 2 3 3 5 6 7 8 9 10 10 11 12 11 10 8 8 10 11 12 13 14 15 17 18 18 18 18 17 15 14 13 12 11 11 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
3 2 1 0 0 0 0 11 41 104 244 590 1175 1815 2190 2226 2086 1997 1947 1897 1860 1833 1806 1778 1754 1741 1736 1716 1696 1702 1728 1758 1789 1814 1836 1856 1873 1895 1909 1891 1847 1810 1842 1888 1920 1935 1937 1937 1939 1963 2020 2122 2289 2529 2809 3018 3104 3107 3118 3219 3353 3332 2979 2623 2246 1864 1489 1165 946 848 801 777 774 787 806 827 853 873 870 859 872 942 1057 1191 1356 1528 1666 1780 1864 1907 1878 1729 1434 1104 824 595 428 320 241 177 176 162 144 119 93 77 72 71 86 120 160 189 199 190 167 139 109 94 81 65 61 38 33 36 41 50 57 54 42 20 6 2 2 1 0 0 0 2 4 3 1 0 1 6 37 77 103 104 88 69 41 38 34 71 107 111 84 38 26 26 14 3 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 1 1 0 0 0 0 3 14 36 81 191 496 1110 1859 2308 2355 2241 2134 2072 2044 2018 1988 1949 1899 1860 1839 1822 1801 1801 1819 1841 1861 1877 1896 1915 1933 1946 1944 1913 1862 1843 1879 1937 1988 2017 2024 2022 2025 2049 2117 2250 2462 2728 2979 3125 3125 3044 2976 2963 2920 2719 2378 2096 1800 1480 1172 936 814 794 734 696 678 678 686 697 701 687 634 619 631 663 713 782 895 1034 1166 1262 1334 1377 1362 1262 1084 885 726 615 532 456 380 304 306 277 236 188 141 113 121 157 209 287 326 308 271 233 190 147 106 72 41 18 18 15 26 33 42 62 89 106 110 74 38 13 1 0 0 0 1 2 3 2 0 0 1 19 53 70 73 74 84 97 40 14 3 7 18 31 22 16 18 19 12 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 1
1 0 0 0 0 0 0 0 1 6 19 44 107 377 1064 1781 2237 2406 2399 2353 2293 2234 2176 2115 2052 2002 1965 1946 1923 1912 1917 1930 1942 1955 1972 1986 1999 1998 1977 1940 1899 1891 1925 1981 2038 2079 2098 2111 2111 2146 2238 2408 2650 2917 3127 3195 3104 2943 2765 2544 2241 1889 1655 1547 1413 1195 958 809 812 899 745 656 612 592 584 576 562 537 457 424 416 423 445 479 540 623 699 786 880 952 971 959 922 866 815 773 717 648 606 532 490 453 412 368 330 316 330 375 404 437 425 358 282 218 159 106 64 45 39 23 11 13 14 21 45 92 158 229 258 222 169 94 28 7 3 6 9 10 7 2 0 0 1 28 47 55 60 76 118 171 97 42 10 0 0 1 1 4 7 7 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 1 1
0 0 0 0 0 0 0 0 0 0 0 1 8 46 222 695 1320 1872 2264 2494 2527 2452 2373 2299 2220 2150 2097 2065 2036 2018 2014 2021 2032 2035 2043 2054 2057 2043 2015 1981 1952 1945 1973 2031 2095 2141 2169 2203 2216 2268 2396 2601 2847 3074 3204 3130 2916 2648 2353 2010 1641 1335 1212 1256 1245 1078 849 714 748 814 670 579 526 492 463 433 408 382 320 281 258 249 255 274 302 336 371 413 463 512 546 561 569 606 660 701 721 719 706 641 592 584 593 608 634 648 623 595 531 449 359 274 218 167 127 87 55 44 41 23 6 14 24 39 65 109 183 321 414 444 445 358 207 100 61 55 47 26 7 1 1 1 5 24 51 80 106 132 173 170 102 44 13 7 15 12 10 6 6 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 1 1
0 0 0 0 0 0 0 0 1 1 0 1 0 2 6 92 347 787 1341 1917 2361 2542 2554 2487 2397 2306 2235 2186 2148 2125 2117 2117 2120 2109 2111 2114 2111 2094 2068 2041 2023 2018 2051 2122 2181 2218 2250 2289 2333 2426 2587 2782 2944 3053 3097 2810 2503 2170 1833 1497 1187 962 883 1107 1156 987 748 588 550 527 488 451 415 379 341 301 266 223 184 159 139 122 114 122 131 145 155 166 184 207 222 230 235 251 329 430 513 561 554 509 485 514 556 619 729 776 740 670 564 432 298 200 163 149 137 113 80 51 36 36 50 69 80 95 119 162 245 383 521 641 737 734 602 406 228 126 54 14 1 1 1 2 13 42 85 129 157 152 130 87 47 23 20 42 84 81 65 45 33 26 16 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 0 0 0 0 0 1 0 0 0 0 0 0 1 21 111 345 807 1526 2143 2494 2588 2531 2438 2364 2303 2256 2228 2213 2206 2200 2187 2183 2181 2177 2163 2144 2132 2133 2122 2156 2215 2250 2274 2313 2369 2456 2588 2733 2818 2770 2640 2538 2228 1933 1628 1333 1074 852 655 495 857 911 760 568 437 384 365 351 331 299 261 222 185 157 115 85 70 60 51 43 42 40 46 50 53 60 71 78 82 87 102 143 209 281 330 325 275 240 270 324 388 495 562 578 562 503 412 311 222 190 199 205 194 165 129 101 99 110 135 147 154 173 220 301 398 487 641 806 882 816 628 332 146 47 9 2 2 2 3 15 42 84 121 125 87 42 20 12 23 54 99 132 141 133 118 100 75 47 22 7 1 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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