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 8 8 8 8 8 8 9 9 9 9 10 10 11 12 13 14 16 19 23 26 25 19 13 11 13 15 15 15 14 13 13 14 15 17 17 15 13 11 7 3 -2 -4 -3 2 9 15 18 18 16 14 13 13 14 15 16 15 13 12 13 14 14 11 9 10 12 15 17 18 17 17 16 16 17 17 17 18 18 18 19 19 18 16 14 12 10 11 11 9 7 5 5 7 8 8 7 6 6 6 6 6 6 5 5 7 8 7 6 5 4 4 4 5 7 7 7 8 8 8 9 9 9 9 10 11 12 14 14 13 12 8 5 4 5 6 8 11 14 16 15 8 1 -3 -4 -4 -3 -1 1 3 4 4 4 4 5 5 6 7 8 10 11 11 11 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 10 10 10 9 9 8 8 11 16 19 17 nan
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nan 10 9 9 9 9 10 11 12 14 15 18 21 22 22 20 17 14 12 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 10 11 11 12 12 13 13 12 11 10 9 9 9 9 9 10 10 10 9 8 8 7 7 7 6 6 6 7 9 9 10 10 11 12 12 13 12 12 12 12 13 13 13 13 12 12 12 12 12 13 14 15 14 14 14 13 14 14 15 15 15 15 15 14 12 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 10 9 10 10 10 10 10 11 12 13 15 16 17 17 17 16 15 15 16 16 16 15 13 12 10 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 nan
nan 9 8 9 9 9 10 11 12 14 16 18 22 23 22 19 14 10 8 8 8 8 9 10 10 10 9 8 7 7 8 8 7 7 7 7 8 9 11 11 12 12 12 13 13 12 11 9 8 8 9 9 9 10 10 9 8 8 9 9 9 8 8 9 9 10 10 10 11 11 12 13 13 12 12 12 12 13 14 14 14 13 12 12 12 12 13 13 13 14 14 15 15 16 17 16 16 16 15 14 13 12 11 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 14 15 17 18 19 18 17 17 16 16 16 15 13 11 9 8 6 5 5 5 7 8 9 10 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 9 9 nan
nan 7 7 8 8 8 8 9 11 12 14 17 19 19 17 15 10 7 6 7 8 8 8 8 8 7 7 6 6 6 6 6 5 5 4 5 7 9 10 11 11 10 10 10 12 12 11 10 8 8 9 9 10 10 9 9 8 9 9 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 12 12 12 13 14 15 15 14 14 14 14 13 13 12 12 12 13 14 16 17 18 17 16 15 14 13 12 11 11 11 10 10 10 11 12 13 13 12 11 11 11 10 10 10 10 10 10 10 10 11 11 12 13 14 16 17 19 19 19 18 17 17 16 15 14 12 10 8 7 5 4 3 4 6 9 11 11 10 9 8 8 8 9 9 8 9 10 11 12 12 12 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 nan
nan 7 7 8 8 7 7 8 9 10 12 14 15 15 13 10 9 7 7 8 9 9 7 6 5 6 6 6 6 7 6 5 4 3 4 6 8 10 11 11 10 7 6 7 8 10 10 9 9 9 9 10 10 10 10 9 8 9 9 11 11 12 11 11 11 11 11 12 13 13 13 13 13 13 12 12 12 13 14 15 16 15 15 15 15 15 14 12 11 11 11 12 14 16 18 17 16 14 12 11 11 11 11 11 11 10 11 12 14 16 17 18 17 15 14 12 11 11 10 10 10 11 12 12 13 13 14 15 17 18 19 19 18 17 17 16 15 14 13 11 9 7 6 5 5 5 6 8 10 12 12 10 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 9 10 11 12 12 12 11 9 8 8 8 9 10 10 9 7 6 6 7 8 8 9 7 6 4 4 6 9 12 13 12 12 9 6 4 5 6 8 9 9 9 9 9 10 10 10 9 8 8 8 9 10 11 12 11 10 10 9 9 10 11 12 13 13 13 12 12 12 12 12 13 14 15 15 15 15 16 16 15 14 12 11 10 11 13 17 18 18 17 14 12 10 10 10 11 11 11 11 11 12 14 17 20 21 21 19 17 15 13 12 11 11 11 12 12 13 14 15 16 16 17 18 18 17 16 16 15 15 14 13 12 10 9 8 7 6 7 8 9 11 12 13 13 12 11 11 11 11 11 11 10 10 10 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 10 10 9 9 10 nan
nan 8 9 9 8 8 9 10 11 11 12 13 12 11 9 8 6 7 9 11 12 12 11 9 8 7 8 9 11 11 10 9 7 7 8 11 12 12 11 10 8 7 7 7 9 10 11 11 10 10 10 10 10 10 9 8 7 7 8 9 10 11 11 10 9 8 7 8 9 10 11 11 12 11 12 11 11 12 12 12 13 14 14 15 15 15 15 14 13 12 12 13 15 18 19 19 18 15 12 10 10 10 11 11 11 11 11 12 14 16 18 20 21 20 18 16 15 14 13 13 12 13 13 14 15 15 16 17 17 18 17 16 15 14 14 13 13 12 12 11 9 9 8 8 8 9 11 13 14 15 15 14 13 13 12 12 12 11 11 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 9 9 10 10 nan
nan 8 8 9 9 10 12 13 13 13 12 11 10 9 8 7 6 7 9 11 12 13 13 12 11 9 9 10 11 12 12 11 11 10 10 12 12 11 9 8 7 8 11 14 15 16 16 14 12 12 11 11 12 12 11 10 9 8 8 8 9 9 10 10 9 8 8 8 8 9 10 10 10 11 11 10 10 11 11 11 11 12 12 13 13 14 13 12 12 12 12 14 16 18 19 19 18 15 11 10 10 10 11 11 11 11 11 12 13 14 16 17 18 18 18 18 16 16 15 15 14 14 14 15 15 15 16 16 16 17 16 15 14 14 13 13 12 12 11 11 10 10 9 9 9 11 12 13 15 16 16 15 15 14 14 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 9 10 10 11 nan
nan 8 8 9 10 11 13 14 13 12 10 8 8 8 8 9 9 9 10 10 11 12 13 13 12 10 9 9 9 11 11 12 12 12 13 13 13 12 10 8 8 10 15 18 21 21 20 17 14 13 12 12 13 13 14 14 13 12 10 10 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 11 13 14 16 17 17 16 14 11 9 9 10 11 12 12 12 12 12 12 13 14 15 17 18 19 19 18 18 17 17 16 16 16 16 15 15 15 15 15 15 15 15 14 14 13 13 13 12 12 12 11 11 10 10 11 11 12 13 15 16 16 16 15 15 15 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 9 9 10 11 12 13 13 11 10 9 8 8 9 9 10 11 11 11 10 10 11 12 12 12 10 9 8 9 10 11 11 13 14 13 13 13 12 11 9 9 11 15 19 22 22 21 17 15 13 12 13 13 14 15 15 15 14 12 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 12 12 12 11 10 10 9 11 12 14 15 15 14 13 11 10 9 9 10 12 13 13 13 12 11 11 12 14 16 17 19 20 20 20 20 19 19 18 17 16 16 15 15 14 14 14 14 14 14 13 13 13 13 13 12 12 12 11 11 11 12 12 13 14 15 15 15 16 16 15 15 14 14 14 14 13 13 12 11 11 11 11 12 12 12 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 13 13 12 11 11 11 10 9 8 8 8 9 9 9 10 11 11 11 11 11 11 12 12 12 11 10 10 11 12 13 13 13 13 11 11 10 10 10 9 8 10 13 17 19 20 18 15 13 12 12 12 13 14 15 15 15 14 13 11 10 10 10 11 11 12 12 12 12 11 10 10 10 10 11 12 12 13 11 11 11 11 12 12 13 12 11 11 10 10 9 10 11 12 13 14 14 13 11 10 9 8 9 10 12 13 13 13 12 11 11 13 15 17 19 20 21 22 22 21 20 19 18 17 16 15 15 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 13 14 14 15 15 15 16 16 15 15 14 14 14 14 14 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 nan
nan 17 15 13 12 11 9 8 8 8 8 9 10 10 10 9 10 10 11 11 11 10 10 10 11 11 11 11 12 14 14 14 13 10 9 7 7 8 9 9 8 9 12 14 17 17 15 13 11 11 11 11 12 13 14 14 14 13 13 12 11 11 11 12 12 12 13 13 12 11 11 10 10 10 12 13 14 14 13 12 12 12 13 13 13 11 11 10 10 11 11 11 11 12 12 13 13 12 11 9 8 7 7 9 11 13 14 15 15 16 16 16 17 19 20 21 22 23 23 23 22 20 19 17 16 16 15 15 14 14 14 14 14 14 14 14 13 13 13 13 13 12 13 13 13 14 15 15 16 16 16 16 16 15 15 14 14 14 14 14 13 13 12 12 12 13 13 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 nan
nan 14 14 12 12 11 10 9 8 9 9 10 11 11 11 10 9 10 11 11 11 9 7 7 7 8 9 10 11 12 13 13 12 11 9 8 8 9 10 10 10 10 11 12 14 14 13 12 11 10 10 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 13 12 12 12 10 10 10 10 11 12 13 14 13 12 12 12 12 13 12 11 10 11 11 12 14 13 13 12 12 12 12 10 10 9 8 8 8 9 11 12 14 15 17 20 22 22 22 22 22 23 23 23 22 22 21 20 19 18 17 16 15 15 15 15 15 15 15 15 15 14 14 14 14 14 13 13 14 14 14 15 16 16 16 16 16 16 16 16 15 15 14 14 14 14 13 13 13 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 9 9 10 10 nan
nan 10 11 11 12 12 12 11 11 10 9 10 11 11 11 11 9 9 10 11 12 11 8 6 6 6 7 8 9 11 12 13 13 13 12 12 12 12 13 13 12 11 11 11 12 12 12 12 11 10 10 9 10 10 10 11 11 12 12 12 13 13 13 13 12 12 12 12 12 11 10 9 9 9 10 10 11 12 12 11 10 10 11 11 11 10 11 12 12 13 14 14 14 13 11 11 10 10 10 9 9 10 10 9 9 10 11 14 16 19 22 25 25 26 25 24 23 22 21 21 20 20 19 18 17 16 16 15 15 15 15 15 16 16 16 15 15 15 15 14 14 14 15 15 16 16 17 17 17 17 17 17 16 16 16 15 15 15 14 14 13 13 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 nan
nan 9 9 10 12 12 13 12 12 10 9 9 9 10 11 11 9 8 8 9 11 12 12 10 9 8 8 9 10 12 13 13 13 14 13 13 14 14 15 15 15 13 12 11 11 12 12 11 10 9 8 8 8 9 10 10 10 11 11 12 13 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 12 12 13 14 13 13 13 12 11 10 10 10 11 11 11 10 9 8 8 9 10 13 15 19 22 23 24 24 22 21 21 20 20 20 19 19 18 17 17 15 15 15 15 15 15 16 16 16 16 16 15 15 15 15 15 15 15 16 17 17 18 18 17 17 17 17 16 16 16 16 15 15 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 8 9 10 11 12 13 13 11 10 8 8 9 10 11 11 10 8 6 6 8 10 12 12 12 11 11 12 13 14 14 14 13 13 12 12 13 14 15 16 17 15 14 13 13 13 12 11 10 9 8 7 7 8 9 10 11 11 11 11 12 13 15 16 16 15 13 11 10 9 9 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 12 13 13 12 11 11 10 10 10 11 11 11 11 11 9 8 7 6 6 8 10 12 15 17 18 18 18 18 18 19 19 19 19 18 18 17 16 15 15 15 15 15 15 16 16 16 16 16 15 15 15 15 15 15 15 16 16 16 17 17 17 17 17 16 16 16 15 15 15 14 13 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 nan
nan 7 9 10 12 12 12 11 10 8 8 9 10 11 12 12 12 11 10 8 7 9 10 11 11 12 11 12 13 13 14 14 14 14 14 14 14 15 16 18 18 18 17 16 15 14 13 11 10 8 8 8 8 8 8 9 10 10 10 10 11 12 13 14 16 16 14 12 10 8 8 9 10 11 11 12 11 11 11 11 11 12 12 11 11 12 11 11 12 12 13 12 11 10 9 9 10 10 11 11 11 11 11 10 9 7 5 4 4 6 8 9 11 12 12 13 15 16 17 18 18 18 17 17 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 15 15 15 15 14 14 13 12 11 11 11 12 12 12 12 12 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 7 8 10 12 12 11 10 8 6 7 9 11 13 13 13 13 14 14 13 12 11 11 12 12 11 11 10 10 11 13 14 15 16 17 18 18 18 19 20 19 19 18 17 16 14 12 10 8 7 7 7 7 8 8 8 8 8 9 9 9 10 11 12 14 15 15 13 11 8 7 8 9 11 12 12 12 11 11 10 10 10 11 11 12 12 12 13 13 13 12 12 11 10 9 9 9 9 9 9 9 10 11 11 10 9 8 7 6 6 7 7 8 9 10 11 13 15 16 17 17 16 16 16 16 16 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 14 14 14 13 13 12 12 11 11 11 11 13 13 13 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 nan
nan 6 7 10 12 13 12 9 6 5 6 9 11 13 13 13 12 12 12 13 14 13 14 14 13 13 12 10 9 9 10 13 14 16 17 19 19 19 19 19 18 17 16 15 14 13 10 9 7 6 6 6 7 7 7 7 7 7 8 9 9 9 9 10 11 12 13 13 12 10 9 9 10 11 13 13 13 12 11 10 10 10 10 11 11 12 12 12 13 12 12 12 12 11 10 9 8 8 7 7 8 9 11 12 13 13 12 12 11 9 9 9 9 9 10 12 13 15 16 16 16 15 15 15 15 15 15 14 14 13 13 13 13 13 13 13 13 14 14 13 14 14 14 14 14 14 15 15 15 15 14 14 14 13 12 12 11 11 11 11 11 12 12 13 14 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 5 7 9 12 13 12 9 6 4 5 7 9 11 12 12 11 10 9 9 11 12 13 14 14 14 13 11 10 9 9 10 12 14 15 16 16 16 15 15 14 13 13 12 12 11 10 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 9 10 11 12 13 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 8 8 8 8 9 10 10 11 11 12 13 13 14 14 14 14 13 12 11 11 11 12 13 14 16 16 16 15 15 15 15 15 15 15 15 14 13 13 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 13 13 12 11 11 10 10 10 11 12 12 13 13 13 12 11 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 9 9 9 10 10 nan
nan 7 8 10 12 14 14 11 7 4 4 6 7 9 10 11 11 11 10 9 8 10 11 12 12 13 13 12 12 11 11 11 11 12 13 13 13 13 11 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 10 11 12 13 13 13 12 11 10 9 10 10 11 11 12 12 11 11 10 9 10 10 11 10 8 6 5 4 5 6 8 10 12 13 13 12 12 12 13 13 14 14 14 14 14 13 13 13 14 15 15 16 16 16 15 15 15 15 15 15 14 14 14 13 13 13 12 13 13 13 13 13 13 13 13 13 13 14 14 15 15 14 14 14 13 13 12 12 11 10 10 10 11 12 13 13 12 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 nan
nan 10 9 11 13 15 16 14 11 7 6 6 7 8 9 11 12 12 12 11 10 10 11 11 12 12 13 13 13 13 13 13 13 12 12 12 11 10 9 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 10 12 13 12 12 10 9 8 8 9 11 12 13 12 11 10 9 9 9 10 11 11 10 8 7 5 5 6 8 10 11 12 12 12 11 11 12 13 13 14 15 15 15 15 15 15 15 16 17 17 16 16 15 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 14 13 13 13 13 13 13 14 14 14 14 14 13 13 12 12 11 11 10 10 11 12 12 13 13 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 nan
nan 11 10 11 13 15 16 16 14 11 8 6 6 7 7 8 9 10 11 11 11 11 12 12 13 13 13 14 14 14 14 14 14 13 12 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 11 10 10 9 9 9 9 10 10 11 11 10 10 8 8 9 10 11 11 11 11 10 10 10 11 11 12 13 14 14 14 12 12 11 11 11 11 12 12 12 12 13 13 14 14 15 16 17 17 17 17 17 17 17 17 18 17 17 16 15 14 14 13 13 14 14 14 14 14 14 14 14 13 13 14 14 14 13 13 13 12 12 13 13 14 14 14 14 13 12 11 11 11 10 10 10 11 11 12 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 10 11 11 12 13 13 14 14 13 10 7 5 5 5 5 5 6 6 7 8 10 12 13 13 13 14 14 14 14 14 13 13 12 11 11 10 10 9 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 9 10 11 11 11 11 11 12 12 11 11 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 9 9 9 11 12 13 14 14 15 16 18 18 17 17 16 15 14 13 13 12 12 13 14 15 15 16 17 18 19 19 19 19 19 19 19 19 19 18 17 16 15 14 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 11 12 13 14 14 14 13 12 12 11 11 11 11 10 10 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 9 nan
nan 10 11 12 12 12 11 11 12 14 13 12 10 7 7 6 6 5 4 4 5 7 9 11 12 12 12 12 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 11 12 12 13 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 10 10 11 11 11 11 10 10 9 9 10 11 13 14 15 15 15 16 18 20 19 18 17 15 14 13 12 12 12 12 13 14 14 15 16 18 19 20 20 20 20 20 20 20 20 19 18 17 16 15 14 14 14 14 14 15 15 14 14 14 14 14 14 14 13 13 13 12 12 12 11 12 12 13 13 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 nan
nan 9 10 11 9 8 8 8 9 12 14 15 14 12 10 9 8 7 7 6 7 7 8 9 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 14 15 14 13 12 12 12 13 13 12 12 11 11 10 10 11 11 11 12 11 11 10 9 9 9 9 9 9 9 10 11 12 12 13 14 16 18 19 17 16 14 12 11 11 11 11 11 11 11 11 11 13 15 17 18 19 19 19 20 20 20 20 20 20 19 18 17 16 16 15 15 15 15 15 15 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 nan
nan 10 10 9 7 5 5 5 6 9 11 12 14 13 12 11 11 10 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 13 13 12 11 11 10 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 12 12 12 12 12 11 11 11 11 12 12 13 13 14 14 12 11 10 9 9 9 9 9 9 8 8 8 8 9 10 12 13 15 16 16 15 14 12 11 11 11 10 9 8 8 8 9 10 12 14 15 17 18 18 19 19 20 20 20 20 20 20 19 18 17 17 17 16 16 15 15 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 nan
nan 11 11 10 10 9 8 7 7 8 9 10 11 12 12 12 12 12 12 12 12 12 11 10 9 9 9 8 8 8 8 8 9 10 11 12 13 13 13 12 11 11 11 11 11 11 12 12 12 12 11 10 10 11 11 12 13 12 11 10 10 10 10 10 10 10 11 12 13 13 14 15 15 15 13 11 9 8 8 8 9 9 9 9 8 8 9 10 11 12 14 17 18 18 17 16 15 13 12 11 10 9 7 6 7 8 9 11 12 14 15 16 17 18 19 20 20 21 21 21 20 20 19 19 18 18 17 17 16 16 15 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 13 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 9 9 8 nan
nan 10 10 10 11 12 12 11 10 9 9 9 10 11 11 11 12 12 13 13 13 12 11 11 10 9 9 9 9 8 8 9 10 11 13 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 11 12 13 13 13 14 14 15 14 13 11 8 6 6 6 7 8 9 9 10 11 12 13 14 16 18 21 22 23 22 20 18 15 13 11 9 8 7 6 7 7 8 9 10 12 13 14 15 17 18 19 20 21 21 21 21 21 20 20 19 19 18 18 17 17 16 16 15 15 15 14 13 13 13 12 12 12 12 12 12 12 12 13 13 12 12 12 12 11 10 10 9 9 9 8 8 8 9 10 11 12 12 12 12 11 11 10 11 11 11 12 12 12 11 11 10 10 9 9 9 9 8 7 nan
nan 8 7 8 9 11 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 9 9 9 9 9 11 13 14 15 16 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 11 12 13 13 13 13 13 12 12 12 12 13 13 11 10 8 6 6 7 8 9 9 10 10 12 13 13 15 16 19 22 23 23 21 18 15 12 10 8 7 7 6 6 6 6 7 7 8 10 11 13 14 16 18 19 20 20 21 21 21 21 21 20 20 19 19 18 17 17 17 16 16 15 14 13 13 13 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 10 9 9 9 9 9 9 9 10 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 nan
nan 9 8 7 8 9 11 12 11 11 11 11 11 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 10 12 14 16 17 18 16 15 13 12 11 9 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 9 10 10 12 13 14 15 15 14 13 12 11 11 11 11 12 13 13 12 11 9 7 8 9 9 10 10 9 8 9 9 10 11 13 16 17 16 15 13 11 9 7 7 6 6 6 5 5 4 4 4 5 7 8 10 11 13 15 17 18 19 20 21 21 22 22 21 21 21 20 19 18 18 17 17 16 15 14 14 13 12 12 12 12 13 13 13 13 13 13 12 12 12 12 11 10 10 9 9 9 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 8 8 8 8 8 8 8 9 nan
nan 12 11 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 12 11 11 10 11 13 15 17 19 19 17 15 13 11 9 8 7 6 6 7 8 10 11 11 11 10 10 9 9 9 10 10 11 12 14 16 16 16 16 15 13 13 12 11 12 12 13 13 14 14 13 11 9 9 9 10 10 10 8 7 6 6 6 8 9 9 10 9 9 7 6 6 6 6 5 5 5 4 4 3 2 3 4 5 7 8 9 11 13 14 16 18 19 20 21 22 22 22 22 21 21 20 19 18 17 17 16 15 14 14 13 13 12 12 13 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 10 11 12 12 13 13 12 11 11 11 11 10 10 9 9 9 10 10 11 11 10 10 8 7 8 8 8 8 9 9 9 nan
nan 12 13 12 11 10 9 8 7 8 9 9 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 12 11 11 12 14 16 17 18 18 16 14 11 9 8 7 6 7 7 8 10 11 13 13 13 12 11 10 10 10 10 11 12 13 15 17 18 18 18 16 15 13 12 12 11 12 12 13 13 13 13 11 9 8 8 8 9 9 8 7 6 5 5 5 6 6 6 6 5 5 5 5 5 6 5 5 4 4 3 3 3 4 5 6 7 8 8 10 11 13 14 16 18 19 21 21 22 22 22 22 21 20 19 19 18 17 16 15 14 14 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 9 9 9 9 10 11 12 13 13 13 12 12 11 11 10 9 8 8 8 9 10 11 11 10 9 8 7 7 7 8 8 9 9 9 9 nan
nan 11 13 14 14 13 11 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 12 13 13 12 12 11 11 11 13 15 16 17 17 16 14 11 10 8 7 6 6 7 9 10 11 12 12 13 14 14 14 13 12 12 11 11 12 14 16 17 19 19 18 16 15 13 12 11 10 10 11 11 12 12 12 10 9 8 7 7 8 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 5 6 7 7 8 8 8 8 10 11 13 14 15 17 19 20 21 22 22 22 21 21 20 20 19 18 17 16 15 14 13 13 14 14 14 13 13 12 12 12 11 11 11 10 10 10 9 9 10 10 10 11 11 12 12 12 12 12 12 11 10 9 7 6 6 7 8 11 12 11 10 8 6 6 7 8 9 9 9 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 nan nan
CAPE
1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 6 3 1 0 0 0 0 8 33 69 80 72 66 67 76 37 16 4 0 0 0 0 0 0 0 0 2 1 0 0 0 2 116 149 54 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 65 151 247 313 346 352 327 254 237 292 346 369 359 333 311 282 253 248 276 322 356 371 372 376 388 338 304 288 223 149 89 41 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 5 3 1 0 0 0 5 22 39 38 23 22 31 35 24 7 1 0 0 0 0 0 0 2 5 16 14 5 0 0 0 1 11 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 38 125 235 320 359 350 324 303 294 306 354 358 341 323 320 327 318 298 286 301 351 390 394 365 318 270 223 216 210 171 115 67 28 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 2 3 5 6 6 6 5 3 1 0 0 0 6 10 8 3 3 14 22 20 9 1 0 0 0 0 0 0 11 21 31 24 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 70 180 283 351 376 358 325 319 327 336 375 352 296 251 250 299 341 337 323 331 382 426 431 396 322 235 196 209 200 159 102 49 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 0 0 0 0 0 0 1 2 3 5 6 7 7 7 5 2 1 0 0 0 1 1 1 3 7 12 13 9 3 0 0 0 0 0 0 22 27 21 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 62 169 267 334 369 374 363 352 348 352 357 339 278 220 212 271 351 348 323 322 361 400 393 379 322 223 168 188 183 148 91 34 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 23 20 1 0 0 0 0 0 0 0 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
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