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 4 7 10 11 13 17 21 22 21 17 10 5 2 4 8 12 14 15 16 17 16 14 12 10 9 8 7 8 9 10 9 7 6 7 8 8 8 9 10 10 12 15 19 20 17 12 10 10 10 9 7 6 4 3 2 2 3 3 4 5 5 6 8 9 9 8 7 7 6 5 5 4 4 3 4 4 4 4 5 6 8 9 10 8 7 5 5 5 5 7 8 9 9 8 7 6 6 7 8 10 11 12 13 15 18 20 19 17 14 11 9 7 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 5 4 2 1 1 1 1 1 2 3 4 5 4 5 6 6 7 7 7 7 6 6 6 7 8 9 10 10 9 9 8 7 6 6 6 6 7 7 8 9 10 11 11 10 9 9 9 8 9 10 10 10 9 9 8 8 8 8 nan
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nan 10 11 12 11 10 9 8 9 11 13 12 11 9 8 7 8 10 12 13 14 15 15 16 16 15 14 12 12 11 10 9 8 8 8 9 9 8 8 8 9 11 12 12 13 12 12 11 11 10 9 8 9 10 12 15 17 16 14 12 11 11 12 12 11 10 7 6 6 7 8 10 12 13 14 12 9 7 7 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 10 11 11 12 12 13 13 12 11 8 6 6 6 7 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 13 14 14 15 15 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 nan
nan 16 15 13 11 9 7 7 8 10 12 13 13 12 11 9 8 9 9 9 9 9 10 12 12 12 12 12 13 14 15 15 15 13 12 11 10 9 7 7 9 11 12 12 12 11 11 11 11 11 10 9 8 9 11 13 14 13 10 9 9 10 11 11 9 7 4 3 4 6 9 12 13 13 12 10 7 6 7 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 10 10 11 12 13 13 12 12 12 11 10 7 5 5 6 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 12 12 13 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 nan
nan 18 15 13 10 9 8 8 7 9 10 12 13 13 12 10 7 7 6 6 6 6 6 7 6 5 7 9 12 14 17 18 18 16 13 11 10 8 6 6 8 10 11 12 12 10 10 10 11 11 11 10 9 8 10 11 11 10 9 7 7 8 8 8 7 6 5 4 4 5 9 12 14 12 9 6 4 5 7 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 8 8 9 9 9 9 10 10 10 11 12 13 14 13 12 11 11 10 9 8 6 6 6 7 8 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 7 8 8 9 9 9 10 10 10 11 11 11 11 11 11 12 12 13 13 14 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 14 13 12 12 12 11 10 9 9 9 10 12 13 12 9 6 6 6 6 6 5 4 3 2 2 4 6 8 11 14 17 17 15 13 10 8 7 6 6 8 9 11 12 12 11 10 9 10 11 11 10 9 8 9 10 10 10 9 8 8 7 7 6 6 7 7 6 5 6 9 12 13 11 7 4 2 4 8 9 10 10 9 9 9 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 9 10 10 11 12 12 13 14 14 13 12 11 9 8 7 7 7 7 8 8 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 8 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 13 13 12 12 12 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 nan
nan 8 9 10 11 12 13 13 12 10 9 9 10 11 9 7 5 5 5 6 7 7 5 4 3 4 5 6 6 8 11 15 15 14 12 9 8 7 6 6 8 9 10 12 12 12 11 10 10 11 11 10 9 8 9 10 10 11 10 10 10 8 6 5 5 5 6 6 6 7 10 12 12 10 6 4 3 6 8 9 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 13 13 13 12 12 11 11 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 9 8 8 7 7 7 7 7 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 nan
nan 6 7 7 7 9 11 13 12 10 8 7 7 8 7 6 5 5 4 4 5 6 5 5 6 6 7 6 6 7 10 13 15 14 12 10 10 8 6 5 7 8 10 12 12 12 11 11 11 10 10 9 8 8 8 9 10 11 11 11 11 10 7 4 3 3 4 5 7 9 11 12 11 8 5 4 6 8 10 10 11 11 10 9 8 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 9 9 8 7 7 7 8 8 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 9 9 9 10 10 10 10 11 11 11 12 12 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 12 12 nan
nan 8 9 9 9 9 10 10 10 8 7 6 6 6 6 5 5 5 4 4 4 5 5 6 6 7 7 6 5 7 10 14 16 16 15 13 12 9 6 5 7 10 13 14 13 12 12 11 11 10 10 9 7 7 7 8 9 10 10 11 11 10 7 5 3 2 4 6 8 10 10 9 7 5 4 6 8 11 12 12 12 11 10 9 8 7 7 7 7 8 9 9 10 10 10 10 11 11 11 12 11 11 10 9 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 14 13 13 13 13 13 13 12 12 12 11 10 10 10 10 12 13 nan
nan 10 11 12 12 12 10 9 8 8 7 7 6 6 5 4 4 5 7 9 10 10 10 8 8 8 8 7 6 8 12 17 20 20 18 14 10 8 6 7 10 14 17 17 15 13 12 11 11 11 10 8 7 7 7 7 8 9 10 10 9 8 7 6 5 4 5 6 8 9 8 6 5 5 6 9 11 12 12 11 11 11 10 9 8 8 8 8 8 8 9 10 10 10 10 11 12 13 13 11 10 8 7 7 8 9 9 9 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 9 10 11 11 10 10 10 10 11 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 10 9 9 10 11 12 nan
nan 9 11 12 13 13 12 11 9 9 8 8 8 8 6 4 4 5 9 14 18 18 16 13 11 10 9 8 8 11 15 19 22 21 16 10 6 5 6 10 14 18 19 18 15 13 11 11 11 11 10 9 8 8 8 8 8 9 9 8 7 6 6 6 6 6 6 6 7 8 8 8 8 8 10 12 12 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 13 14 14 11 9 7 6 7 9 9 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 10 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 10 10 10 10 10 11 nan
nan 8 9 10 11 12 13 12 12 10 10 10 11 10 8 6 5 6 9 14 18 20 19 17 14 12 11 11 12 15 18 19 18 15 9 4 2 5 8 12 15 17 18 17 14 12 11 11 11 11 11 10 9 9 9 9 9 9 8 7 5 4 3 4 5 6 6 7 8 10 11 11 12 12 12 12 11 10 9 9 9 10 10 10 10 11 11 12 12 11 11 11 11 11 12 13 13 11 8 7 6 7 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 9 10 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 13 13 14 14 15 14 14 14 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 nan
nan 6 7 8 8 10 11 12 12 13 13 13 13 12 10 8 7 7 9 13 16 18 19 18 16 14 14 15 18 20 19 16 12 6 1 0 4 9 12 13 13 15 16 16 13 11 10 11 11 12 11 10 10 9 9 9 9 9 8 7 6 4 3 2 3 5 7 8 9 11 12 12 12 12 11 10 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 11 10 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 8 7 8 9 10 11 11 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 14 14 15 15 15 15 14 14 13 13 13 13 13 13 13 13 12 12 11 11 10 11 11 11 11 10 10 nan
nan 5 5 5 5 6 7 8 10 12 13 14 13 11 9 7 6 7 9 13 16 18 18 17 15 14 16 20 22 22 19 12 5 -1 -1 4 10 13 14 12 11 13 15 14 13 11 11 11 11 12 11 10 10 9 10 10 10 9 8 8 7 7 6 5 5 6 7 8 8 9 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 9 10 9 8 7 8 9 10 11 11 11 10 10 10 10 10 11 12 12 13 13 13 12 12 13 13 13 14 14 15 15 15 14 14 13 12 12 13 13 13 13 13 13 12 11 11 10 11 12 12 12 11 10 nan
nan 7 5 4 5 5 5 6 7 8 9 9 9 7 5 4 3 4 7 12 17 19 17 15 14 14 16 18 19 18 13 7 1 -2 2 10 14 15 14 11 10 12 14 14 13 12 11 11 10 10 9 9 9 9 10 10 11 10 10 9 8 8 7 7 7 6 6 6 6 7 7 8 7 7 6 6 7 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 11 11 12 11 11 11 10 10 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 12 12 13 13 12 12 12 12 12 12 12 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 12 12 11 11 11 12 12 12 11 11 nan
nan 11 8 6 6 7 7 6 6 6 5 5 5 4 3 2 1 1 4 10 15 18 17 15 13 12 12 12 12 10 7 2 -1 0 6 13 16 16 13 11 10 11 12 12 12 12 11 10 9 8 7 7 8 9 10 12 12 11 10 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 9 8 8 8 8 9 9 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 12 11 11 10 9 9 8 8 8 8 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 12 13 13 12 12 12 12 12 11 11 11 11 12 12 13 14 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 nan
nan 12 10 9 9 9 9 8 7 6 5 5 5 5 5 5 5 4 5 8 12 15 16 15 13 10 8 7 6 6 6 3 2 5 10 15 16 14 12 10 9 8 8 8 9 10 10 10 8 7 8 8 9 11 12 13 12 11 9 8 7 6 6 6 6 7 7 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 8 8 9 9 10 11 12 12 12 12 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 9 9 10 10 11 11 11 10 10 9 10 10 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 14 14 14 13 13 12 12 12 12 11 11 11 11 12 12 11 10 10 10 11 11 nan
nan 9 10 11 12 12 11 9 8 6 5 5 6 8 9 10 9 8 7 9 10 12 14 14 12 9 6 5 5 7 8 8 8 11 13 15 15 13 11 9 8 6 6 6 7 8 9 9 9 9 10 10 11 12 12 11 10 9 8 7 6 6 6 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 8 8 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 11 11 10 10 10 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 13 13 13 12 12 12 11 11 11 11 11 12 12 11 10 9 9 10 11 nan
nan 6 8 12 14 15 14 12 9 6 4 4 6 9 11 12 11 10 8 8 9 11 13 13 11 9 6 5 6 8 10 12 12 14 15 15 14 12 11 11 10 8 7 6 6 7 9 10 11 12 12 12 11 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 12 12 12 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 13 13 12 12 12 12 12 12 11 11 11 11 12 12 11 10 9 8 9 10 nan
nan 6 7 10 14 18 18 15 10 6 3 3 4 6 8 9 11 11 9 8 8 10 12 13 12 10 8 7 7 9 10 12 13 14 15 14 13 12 12 13 12 10 8 7 7 8 10 12 13 13 13 11 9 8 6 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 13 13 14 13 13 13 13 12 12 12 12 12 11 11 12 12 13 13 12 11 9 9 9 9 nan
nan 9 8 10 13 16 18 15 10 7 5 4 4 4 4 5 9 11 11 11 10 10 10 11 11 11 11 11 9 9 10 10 12 13 14 14 13 13 13 13 12 10 8 7 8 10 12 13 13 13 12 10 9 8 7 7 7 8 8 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 13 13 13 12 12 11 11 12 12 13 13 12 11 11 10 9 9 nan
nan 13 12 12 12 13 13 12 10 10 9 8 7 5 5 6 8 10 12 12 11 9 8 8 10 11 13 13 12 10 10 10 11 13 14 14 13 13 13 12 11 10 9 10 12 13 14 14 13 12 10 10 9 9 9 8 8 9 9 9 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 12 13 13 13 13 14 15 15 15 15 15 15 15 14 13 12 11 11 11 11 12 12 11 11 11 11 10 10 nan
nan 16 16 15 13 11 10 10 11 11 10 9 9 9 11 11 11 11 11 10 9 8 7 7 8 10 12 14 14 13 12 11 11 12 12 13 13 12 12 12 12 12 13 13 13 14 13 12 11 11 10 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 15 15 15 15 15 15 15 14 12 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 15 15 14 13 12 10 10 9 8 7 7 8 12 14 14 13 12 11 10 9 9 9 8 8 9 10 13 15 15 14 12 10 9 10 10 11 11 11 12 13 14 14 13 11 11 10 10 11 11 11 11 11 11 11 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 12 13 13 12 13 13 13 14 14 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 12 12 10 9 7 5 4 5 7 11 13 12 12 11 11 11 10 10 11 10 10 9 9 11 12 12 11 9 8 7 7 9 10 10 10 11 12 13 13 12 11 10 9 10 10 11 11 11 11 10 10 10 9 9 8 7 7 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 11 12 11 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 11 12 13 13 14 13 13 12 13 13 13 13 13 12 12 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 nan
nan 7 7 8 9 11 11 10 8 5 3 3 5 8 8 8 8 9 10 11 11 11 12 12 11 10 10 9 7 7 6 5 5 6 7 9 10 10 10 10 10 11 11 12 12 11 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 10 11 12 12 10 10 9 8 7 7 6 6 7 8 9 9 8 9 9 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 13 13 14 14 13 13 12 13 13 14 14 14 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 8 8 7 6 8 11 10 8 6 3 3 5 6 6 6 7 9 11 12 12 12 12 13 12 12 11 9 7 6 5 5 6 7 8 10 11 11 11 10 10 11 11 12 12 12 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 12 13 13 14 14 14 14 14 12 11 11 12 12 13 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 12 10 8 7 8 10 10 8 6 4 4 6 8 9 10 10 12 13 14 12 11 9 10 11 12 12 11 10 9 8 8 8 8 9 10 11 12 12 12 12 12 12 13 13 13 13 12 10 9 7 7 6 6 6 6 7 7 7 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 14 14 14 12 11 10 10 10 10 10 10 10 12 12 13 13 12 12 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 nan
nan 14 11 9 9 10 10 9 7 6 4 4 7 10 13 14 15 14 14 13 10 8 5 5 6 9 11 11 12 12 11 11 10 9 9 10 11 11 12 12 12 13 13 13 13 13 12 10 9 8 8 7 7 6 6 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 13 14 14 13 12 11 11 11 10 10 10 10 11 12 13 14 13 12 12 11 11 10 9 9 8 9 10 11 12 12 11 9 8 7 7 6 nan
nan 11 9 9 9 9 9 7 6 5 4 5 8 12 15 17 16 13 11 9 8 6 5 5 6 8 9 10 10 11 12 12 11 11 11 12 12 12 11 11 11 12 13 13 12 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 10 10 11 11 11 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 10 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 10 10 11 11 11 11 12 13 13 14 14 13 13 12 12 12 13 13 13 12 12 13 13 14 14 13 13 12 12 11 11 9 6 5 5 6 7 9 11 12 10 8 6 4 2 nan
nan 9 7 7 6 6 6 5 4 5 6 9 12 15 16 16 14 10 7 6 7 8 9 10 11 11 10 9 9 10 10 11 11 12 12 13 13 12 11 10 10 10 11 11 10 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 10 9 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 8 8 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 13 14 15 15 15 14 13 12 12 12 13 14 14 15 14 14 14 14 13 13 12 12 12 13 13 13 11 8 5 2 -0 0 2 5 8 10 10 8 5 2 nan
nan 9 7 5 4 4 4 4 5 6 9 12 15 18 19 18 13 8 6 6 7 9 11 13 15 14 13 11 10 9 9 10 10 11 12 12 12 12 11 10 9 9 9 9 9 8 7 7 8 8 8 7 8 8 9 9 9 9 9 9 8 8 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 8 8 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 11 12 11 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 14 15 15 15 14 13 13 12 12 12 12 12 13 14 14 13 13 13 13 12 12 12 12 12 14 15 16 16 15 12 8 3 -1 -2 -1 1 3 6 8 8 6 nan
nan 11 9 7 4 4 4 4 5 7 10 14 17 20 21 19 15 10 8 8 8 9 10 13 15 16 15 14 12 10 9 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 8 8 9 9 8 8 8 8 9 9 9 10 10 10 9 8 8 7 6 6 6 6 6 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 10 9 8 7 8 8 8 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 11 13 13 13 13 13 14 15 16 15 14 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 13 14 15 18 20 21 21 18 12 6 2 -1 -1 1 4 6 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 1 1 1 3 9 45 138 246 247 232 194 129 76 38 13 2 0 0 0 0 0 0 0 0 0 1 2 3 3 4 2 1 2 3 5 7 12 25 30 18 6 1 0 4 21 32 53 64 60 48 35 27 31 47 59 60 55 48 34 22 11 4 1 0 1 6 9 4 3 2 1 1 0 1 0 0 0 0 3 19 67 150 141 106 94 102 113 112 103 81 53 31 17 10 8 1 0 0 0 4 16 47 99 149 174 175 166 155 149 155 175 199 211 208 191 168 148 135 139 165 216 292 377 450 507 545 573 600 629 651 648 617 605 588 604 624 633 627 607 572 533 531 542 567 577 545 470 376 255 147 70 24 4 0 0 0 0 0 0 0 0 0 0 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 1 2 1 3 10 41 115 193 213 203 167 96 42 13 2 0 0 0 0 0 1 1 1 1 2 4 8 11 15 17 10 6 7 9 10 11 16 27 35 20 6 0 0 1 3 2 5 13 16 13 11 13 17 26 26 23 19 14 7 5 2 1 0 1 4 8 12 13 11 8 6 4 1 0 0 0 0 0 0 2 14 48 123 115 110 97 77 64 50 30 20 20 24 28 28 14 5 1 0 0 1 6 23 58 117 174 190 184 178 178 196 219 231 225 204 176 151 136 141 163 200 257 325 385 425 451 481 510 555 599 603 562 579 610 632 635 622 605 592 584 551 530 513 523 542 542 512 432 313 195 99 36 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 0 0 0 0 0 0 0 0 0 0
3 1 0 1 2 7 32 75 126 163 176 168 137 72 19 2 0 0 0 0 1 2 3 3 4 6 8 12 17 22 32 35 23 17 19 18 17 17 21 30 37 18 5 0 0 0 0 0 0 2 2 3 5 7 6 6 3 1 0 1 1 1 2 1 0 2 9 23 39 36 27 17 13 10 5 1 0 0 0 0 0 1 1 6 43 83 122 132 118 101 92 86 66 61 56 63 70 46 19 7 1 0 0 0 2 11 43 126 178 199 204 209 221 236 242 234 210 177 147 133 138 155 182 222 269 317 355 378 398 408 436 474 486 457 472 500 528 554 570 566 552 562 548 515 493 489 495 497 482 429 337 227 127 54 14 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
5 2 0 1 6 18 45 89 121 129 116 93 66 35 6 0 0 0 2 5 6 5 7 9 10 12 17 20 24 28 41 42 30 24 23 20 19 22 27 34 33 11 2 0 0 0 0 0 0 1 1 1 2 2 1 0 0 0 0 0 0 1 1 1 0 2 9 19 28 29 29 21 17 14 10 4 0 0 0 0 1 1 0 0 4 31 69 106 133 145 150 166 172 160 116 107 109 61 24 12 3 0 0 0 0 0 5 29 91 148 188 216 235 242 245 235 213 182 153 140 137 147 170 202 242 288 330 350 354 342 339 351 364 360 362 373 402 443 487 510 509 527 515 499 488 481 476 465 432 361 295 211 124 56 16 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
13 7 5 8 10 13 21 51 78 75 54 33 23 25 22 17 8 2 5 13 13 15 19 23 25 26 26 26 27 31 45 44 32 22 15 12 16 24 30 32 25 4 1 0 0 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 1 3 3 6 14 19 18 21 18 15 13 9 4 0 1 2 2 3 2 1 0 0 4 20 54 108 168 217 246 279 297 249 221 195 120 41 5 1 1 0 0 0 0 0 2 15 63 126 181 214 231 243 252 251 233 203 179 161 158 174 212 265 321 363 372 351 323 303 300 301 294 282 285 312 338 385 432 461 485 489 487 475 449 422 404 382 287 217 154 94 46 15 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
76 55 42 29 14 4 3 14 31 36 41 61 79 82 71 46 24 8 14 25 26 23 27 32 35 37 38 38 33 41 57 55 38 20 10 9 15 20 25 26 17 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 13 11 7 7 6 6 5 3 1 0 0 0 1 2 2 1 0 0 0 3 20 69 164 269 314 336 379 372 348 311 250 166 76 19 4 2 1 0 0 0 0 1 5 30 80 139 173 200 231 259 268 255 234 220 215 232 275 331 382 412 410 365 330 307 293 281 265 247 241 260 275 313 363 409 451 479 474 441 390 330 279 253 178 118 77 47 24 8 0 0 0 0 0 0 0 0 0 0 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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