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
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nan 10 11 13 16 17 17 17 17 18 20 23 24 22 19 16 12 9 7 6 7 7 8 9 11 11 11 10 7 6 7 8 9 9 9 9 9 9 10 11 12 12 12 11 10 9 8 8 9 10 10 10 10 10 9 9 9 8 7 6 6 5 5 6 7 8 9 9 9 10 10 11 11 11 11 11 11 12 12 13 14 14 14 14 13 13 13 13 14 14 14 14 14 14 15 15 15 15 14 15 14 12 11 10 10 10 11 11 11 10 10 10 10 10 10 11 10 10 10 9 9 9 8 9 9 10 10 10 10 11 12 13 16 17 17 16 15 14 13 13 12 11 10 9 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 9 9 9 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 nan
nan 9 10 11 12 12 12 13 14 17 22 25 25 21 16 12 8 5 5 6 7 9 10 11 12 12 11 9 6 4 4 5 6 7 7 8 8 9 10 11 12 12 11 11 9 8 8 7 8 8 9 8 8 9 9 9 9 9 8 7 7 7 7 8 9 10 11 11 10 10 11 11 11 11 11 11 11 12 13 14 14 14 14 14 14 13 13 12 12 13 14 15 15 16 16 16 16 16 15 14 14 13 12 11 10 10 10 10 11 10 10 10 9 10 10 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 11 13 15 17 18 17 16 15 14 13 12 11 9 8 7 6 6 7 8 9 9 8 7 7 7 8 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 10 10 nan
nan 9 8 8 9 8 8 10 12 16 21 23 22 18 13 9 6 5 5 7 9 11 10 10 10 11 11 10 8 6 5 4 4 5 6 7 9 10 11 11 11 11 10 9 9 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 12 11 11 11 12 11 11 12 13 14 15 15 15 15 15 15 14 14 12 11 12 12 13 14 15 16 16 16 15 14 13 12 12 11 11 11 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 9 9 10 12 15 17 18 18 17 16 14 13 12 11 9 8 7 6 6 7 9 11 10 9 8 7 7 8 9 9 9 9 10 10 11 11 11 11 10 10 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 nan
nan 9 9 9 8 7 7 9 11 14 18 19 18 16 12 9 7 6 7 9 10 11 10 8 7 8 10 12 11 9 6 4 3 3 5 8 11 12 12 11 10 9 8 8 8 8 7 7 6 7 8 8 8 8 8 8 8 8 8 9 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 16 16 16 16 16 16 15 14 13 11 11 11 12 14 16 16 15 14 12 11 11 11 11 11 11 11 10 11 12 13 14 15 15 14 13 13 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 11 14 16 18 19 18 17 15 14 13 11 10 8 7 7 7 9 11 12 12 10 9 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 12 12 12 11 11 11 10 nan
nan 9 10 10 9 9 9 10 11 13 15 16 15 14 12 10 8 7 8 10 12 12 11 7 6 7 9 11 12 11 8 5 3 3 5 10 14 14 13 10 7 5 5 6 7 8 8 8 7 8 8 9 9 9 8 7 7 7 8 10 12 13 13 11 10 10 10 10 11 12 12 12 12 12 12 12 13 13 13 14 15 15 15 15 16 16 17 17 16 14 12 11 13 15 17 17 16 14 12 10 11 11 11 12 12 11 11 11 12 14 16 18 19 18 16 15 14 13 12 12 11 11 10 11 10 10 10 10 9 9 9 11 13 15 17 18 18 17 16 15 13 12 11 10 9 9 10 11 12 13 13 12 10 10 9 9 10 10 10 10 10 11 11 12 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 12 12 11 10 10 10 nan
nan 9 10 11 10 10 11 11 11 11 11 11 11 12 11 9 6 6 9 11 13 14 13 10 8 7 7 9 11 12 11 9 7 6 8 11 14 13 11 8 5 3 4 6 8 9 10 9 9 9 9 10 10 10 9 7 6 6 6 8 11 12 12 11 9 8 8 9 10 11 12 13 13 12 11 11 11 12 12 13 14 13 13 13 13 15 16 17 17 16 15 14 15 17 18 19 17 15 13 11 11 11 12 12 12 12 11 12 13 15 17 18 19 19 18 17 15 14 14 13 12 11 11 10 10 10 10 10 10 10 10 12 14 16 17 18 18 17 16 15 14 13 12 11 10 11 11 12 13 14 14 13 12 11 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 13 13 12 12 11 10 10 10 10 nan
nan 8 9 11 11 11 11 11 10 8 6 6 8 9 9 8 7 8 10 12 14 15 15 13 10 9 8 9 10 12 12 11 10 9 10 11 11 11 9 6 5 5 9 12 14 15 15 13 11 10 10 11 11 12 11 9 8 7 6 7 9 10 10 10 9 8 8 9 10 11 12 12 12 11 10 9 9 10 11 11 12 12 12 12 12 13 14 14 15 16 16 16 16 17 17 17 17 15 13 12 12 12 12 12 12 12 12 12 13 14 16 17 18 18 18 17 16 16 15 14 13 12 11 11 11 10 10 10 10 10 12 14 15 17 18 18 18 17 16 15 14 13 12 11 11 11 11 12 13 14 14 14 13 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 12 12 13 12 12 11 10 10 10 11 12 nan
nan 9 10 11 12 11 10 9 7 6 4 4 7 8 9 10 11 11 11 11 12 13 14 14 12 10 8 8 8 9 11 11 12 12 12 12 11 10 8 7 6 8 14 19 22 23 21 17 14 12 11 11 12 14 14 14 12 11 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 8 8 8 9 9 10 10 10 11 11 12 12 12 13 13 13 14 13 13 14 14 14 14 13 12 12 12 12 12 12 12 13 13 13 13 13 14 15 16 17 17 17 16 16 15 15 14 13 13 12 11 11 11 11 12 13 15 17 18 18 18 17 17 16 15 14 13 11 11 10 10 10 11 12 13 13 14 13 13 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 12 11 11 10 10 10 11 11 12 12 12 12 11 11 10 11 11 12 13 nan
nan 12 13 13 12 10 9 8 6 5 6 7 8 10 11 13 13 13 12 11 11 11 12 12 12 10 9 8 7 8 10 11 13 15 14 13 12 11 9 8 7 10 16 21 25 26 24 18 14 12 11 11 13 14 16 17 16 15 13 11 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 9 9 8 9 9 9 10 11 11 12 12 12 11 11 11 10 10 10 11 12 14 14 13 13 12 12 12 12 12 12 12 11 11 10 11 12 14 15 16 17 17 17 16 16 16 15 14 14 13 13 13 13 14 15 17 18 18 18 18 17 16 15 14 13 12 11 11 10 10 10 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 12 12 12 12 12 11 11 11 11 12 13 13 nan
nan 18 15 12 10 9 8 8 7 6 8 9 10 11 12 13 13 13 12 11 10 10 10 11 11 11 10 10 10 11 12 13 14 15 14 12 11 10 9 8 7 10 15 20 22 23 20 15 12 10 10 11 13 15 18 18 18 17 14 12 10 9 9 9 9 10 10 10 10 10 9 9 9 10 11 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 10 9 9 8 9 10 11 14 15 14 14 12 11 11 12 12 12 12 11 10 10 10 11 12 14 15 16 17 17 17 17 17 17 16 16 16 16 16 17 18 18 19 19 18 18 17 15 15 14 13 13 12 11 11 10 10 10 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 12 13 12 12 11 11 12 12 13 13 13 nan
nan 17 12 8 7 8 7 7 8 8 9 11 12 13 13 12 12 12 12 12 11 9 9 9 9 10 10 11 12 13 14 14 14 13 11 10 9 9 8 8 7 9 12 16 19 19 16 13 10 10 9 10 13 16 19 20 19 17 15 13 11 10 10 10 10 10 11 11 11 10 9 9 9 10 12 13 14 14 13 12 11 11 12 12 12 11 10 10 10 11 11 10 9 9 9 10 11 12 13 13 13 12 11 11 12 12 12 13 13 13 13 13 14 14 15 15 16 17 17 17 18 18 18 18 19 20 21 21 22 22 21 20 19 18 17 16 15 14 13 13 12 12 11 11 11 11 11 11 12 13 13 13 14 14 13 13 13 13 13 14 14 13 13 12 12 13 13 13 13 12 12 12 11 11 11 11 11 12 12 13 12 12 13 13 12 12 12 12 nan
nan 9 6 4 5 7 8 9 9 9 10 11 13 14 14 13 12 11 11 11 11 10 8 7 6 7 8 9 11 12 13 13 13 12 11 10 10 10 10 10 9 8 10 12 15 16 15 13 10 10 9 10 12 14 16 17 17 16 14 12 11 11 10 10 10 10 11 11 11 10 10 9 9 10 11 12 13 14 13 13 12 12 12 12 12 11 10 10 10 11 12 11 11 10 10 10 11 11 12 12 12 12 11 11 11 12 12 13 14 15 16 17 17 17 17 18 18 18 18 18 19 20 21 22 23 24 25 25 25 24 22 20 19 17 16 15 15 14 14 13 13 13 12 12 12 12 12 12 13 13 14 14 14 14 14 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 13 13 12 12 11 11 11 11 nan
nan 3 3 3 5 7 9 10 10 9 9 10 12 13 14 13 11 10 10 10 12 12 10 8 7 6 6 7 9 10 11 12 13 13 13 13 13 14 13 13 11 9 9 10 11 13 14 12 11 10 9 9 9 10 11 11 12 12 12 11 11 11 11 11 10 10 11 11 11 11 10 9 9 9 10 10 11 12 13 12 12 11 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 10 11 11 11 11 12 12 14 15 16 18 19 20 20 20 20 21 22 23 25 26 27 27 27 26 24 23 21 19 17 16 15 14 14 14 14 14 13 13 13 13 13 12 13 13 14 14 14 14 15 14 14 14 14 14 14 14 13 13 13 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 nan
nan 2 2 3 5 8 10 11 11 10 9 8 10 11 12 12 10 8 7 8 10 12 13 12 10 9 9 10 11 12 13 13 13 13 14 14 14 14 15 15 13 11 10 10 11 12 13 12 11 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 11 10 10 10 10 9 10 10 11 11 11 12 12 12 12 11 11 11 12 12 12 11 10 10 10 9 9 9 9 9 11 12 14 16 19 20 21 22 24 25 26 27 28 27 26 24 22 20 19 17 16 14 14 13 13 14 14 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 15 15 15 15 15 15 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 11 11 10 10 nan
nan 3 4 5 7 9 11 12 12 11 9 8 9 10 11 11 10 8 6 6 7 9 12 12 12 12 12 12 14 15 15 16 15 14 13 13 13 14 16 16 16 15 14 13 14 14 13 13 11 10 9 8 9 10 11 11 11 10 10 10 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 12 13 13 13 12 11 11 10 9 8 8 10 11 11 11 12 12 12 11 11 11 12 12 12 11 10 9 8 7 6 6 6 6 7 8 9 11 13 15 18 20 22 23 24 24 24 22 21 19 17 16 15 14 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 15 15 15 15 15 15 15 15 15 15 14 13 13 13 13 13 13 13 13 12 12 11 12 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 nan
nan 5 6 6 8 10 11 11 11 11 10 10 10 10 11 11 12 10 8 7 6 7 9 10 11 11 11 11 12 13 15 16 17 17 17 17 17 18 20 21 21 20 19 18 17 17 15 13 11 10 10 9 10 11 12 13 13 12 11 10 9 10 10 11 11 10 9 9 8 7 8 9 10 10 10 10 11 11 11 11 12 12 13 12 12 12 11 10 10 10 12 12 12 11 11 10 10 10 11 11 11 11 11 10 8 7 5 4 4 5 5 6 7 7 7 8 9 11 13 15 16 17 17 17 16 15 14 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 15 15 15 14 15 15 15 15 15 14 14 13 12 12 13 13 13 14 14 13 12 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 nan
nan 6 6 7 8 9 9 9 9 8 9 11 12 13 13 13 12 12 11 10 10 9 10 11 11 10 10 8 8 10 12 14 17 19 21 23 24 25 25 25 24 23 22 20 19 17 14 12 10 9 9 9 10 11 12 12 13 12 11 9 9 9 10 11 12 11 10 9 7 6 6 7 9 10 11 11 11 10 10 10 10 10 11 12 12 13 13 12 13 13 13 13 12 12 11 10 10 10 10 10 10 10 11 11 10 9 8 7 6 7 8 8 9 8 7 7 6 7 7 8 9 10 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 15 15 15 14 15 14 14 13 12 12 12 13 14 14 14 14 14 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 nan
nan 6 7 7 9 10 9 9 8 7 8 11 13 14 14 14 12 11 10 11 12 12 12 12 12 11 10 8 7 7 9 11 14 17 20 23 24 24 24 22 20 19 18 17 17 14 12 10 9 8 8 8 9 10 11 11 12 12 11 10 10 10 11 11 11 11 10 8 7 6 6 7 9 10 12 12 12 11 9 9 9 8 9 10 11 12 12 13 13 14 14 14 13 13 12 11 10 9 9 8 9 10 11 12 13 13 13 13 12 12 12 12 12 11 10 9 8 6 5 5 6 7 8 9 11 11 12 12 11 11 11 11 11 11 11 12 12 13 13 13 13 14 14 14 14 14 14 14 15 15 15 16 15 15 15 14 14 13 13 12 12 12 13 14 15 15 15 14 14 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 nan
nan 7 8 9 11 13 12 11 9 8 8 9 11 13 13 13 12 10 9 9 11 12 13 13 12 12 11 10 9 9 9 10 12 14 16 18 18 17 16 15 14 13 13 13 12 12 10 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 12 11 11 10 9 8 7 8 8 9 9 10 10 11 11 11 9 8 8 8 8 9 10 11 12 12 13 12 12 12 11 11 10 9 9 9 9 9 9 10 11 13 14 15 16 16 16 15 15 14 14 14 14 12 11 9 8 7 6 7 8 9 10 12 12 13 13 12 12 11 11 11 11 12 12 13 13 13 13 14 14 14 15 15 15 15 15 15 15 16 16 16 15 14 13 13 13 13 12 12 13 14 15 14 14 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 11 nan
nan 9 10 11 14 16 16 15 12 9 8 8 9 10 11 12 12 11 11 10 9 11 11 12 12 12 12 12 12 12 12 12 13 14 14 14 13 12 10 8 8 8 9 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 12 12 11 10 9 9 8 9 9 11 11 11 10 9 9 9 9 9 9 9 8 8 8 7 8 10 11 11 11 9 8 7 7 7 8 8 9 10 10 9 9 9 10 11 12 14 15 15 16 16 16 16 16 16 16 15 14 13 11 10 10 10 10 11 12 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 14 15 15 16 16 15 15 15 15 15 15 15 14 13 13 13 13 13 14 14 14 14 13 13 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 11 11 nan
nan 11 12 13 15 17 18 18 16 12 10 9 8 9 10 11 12 12 13 13 11 11 12 12 12 12 13 13 14 15 15 15 15 14 13 12 10 9 8 6 7 7 8 9 9 10 10 10 10 9 9 9 9 10 11 12 12 11 11 11 11 11 11 11 9 9 9 9 10 11 12 12 11 9 7 6 7 8 10 11 11 9 7 7 6 7 8 10 10 11 10 9 8 7 7 8 9 9 10 10 9 8 8 8 9 10 12 13 15 16 17 18 18 19 20 20 20 20 19 18 16 15 14 13 12 12 13 13 14 14 14 14 14 14 13 13 13 13 14 14 13 13 13 14 14 15 15 16 15 15 14 14 14 14 14 13 13 13 13 13 14 14 13 13 13 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 nan
nan 12 12 13 14 16 17 17 17 15 12 10 8 8 8 8 9 10 11 11 11 12 12 13 13 13 14 14 15 15 15 14 14 12 11 10 8 7 7 7 7 8 9 9 10 10 9 9 9 9 8 8 8 9 9 10 11 12 12 12 12 12 11 10 9 9 9 9 11 12 12 11 10 9 7 6 8 9 11 11 11 9 7 7 7 8 9 10 11 12 13 13 12 11 11 11 11 11 11 10 10 9 10 10 11 12 14 15 18 19 20 20 21 21 22 23 24 24 24 22 21 19 18 16 15 14 13 14 14 14 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 14 14 14 13 13 13 12 12 12 13 13 13 13 12 12 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 nan
nan 11 12 12 12 12 13 14 15 15 13 11 8 7 7 6 6 5 5 6 6 8 10 12 12 13 13 12 12 12 12 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 11 11 12 12 13 13 12 10 9 9 9 10 11 11 11 10 10 9 10 10 11 12 11 9 7 6 7 9 10 12 12 13 14 15 16 16 16 15 14 13 13 12 10 11 11 12 13 13 14 15 17 19 20 20 20 20 21 21 22 24 24 24 23 22 21 19 18 16 15 14 14 14 15 15 15 15 15 15 15 15 14 14 14 15 14 14 13 14 14 15 15 15 14 14 13 13 12 12 12 12 12 12 12 12 12 11 10 10 10 11 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 10 10 10 nan
nan 9 10 10 10 10 10 10 12 14 14 13 11 9 7 6 6 5 4 4 4 5 7 8 9 9 9 9 8 8 8 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 12 13 13 12 11 10 10 9 10 10 11 11 12 13 12 12 11 11 10 9 7 7 8 10 11 13 13 13 15 16 17 18 17 16 15 14 13 11 10 11 11 12 12 12 12 14 15 16 17 17 17 16 16 17 17 18 19 19 19 19 18 18 17 17 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 15 14 14 13 13 13 12 12 12 12 12 12 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 10 10 10 nan
nan 7 8 8 7 6 7 7 9 11 12 13 13 12 10 9 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 8 9 11 12 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 12 12 13 13 13 12 10 9 9 10 11 12 12 12 11 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 9 9 10 11 12 12 13 14 15 16 17 17 16 14 13 12 11 10 10 10 10 10 9 9 10 11 12 13 13 13 12 12 12 12 12 12 13 14 14 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 14 14 14 14 14 14 14 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 10 10 10 9 nan
nan 7 7 7 5 4 4 5 6 7 9 10 12 12 12 11 11 11 11 11 11 10 10 9 8 7 7 7 7 6 6 7 7 9 10 11 12 13 13 13 12 11 11 11 10 10 11 11 12 12 12 13 14 14 15 15 15 13 11 9 8 8 9 9 9 10 10 10 12 12 13 13 13 12 9 8 9 9 10 11 12 13 12 11 11 10 10 10 10 11 12 13 15 15 15 14 13 12 11 11 10 9 8 8 7 8 8 9 10 10 11 11 10 10 9 9 9 9 9 10 10 11 12 12 13 14 14 15 15 16 16 16 16 16 16 17 16 16 16 16 16 16 15 15 14 14 14 14 14 14 14 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 12 13 13 13 13 13 12 12 11 10 10 10 10 nan
nan 10 10 9 8 7 6 5 5 6 7 8 9 10 11 11 11 12 12 13 13 12 11 10 9 8 8 8 8 8 9 9 9 10 11 12 13 13 13 13 12 12 12 12 12 11 12 12 11 12 12 12 13 13 14 15 15 13 12 10 8 8 8 8 8 8 9 11 12 14 14 14 13 11 8 7 7 8 10 11 13 13 13 12 11 10 10 10 10 10 11 13 15 16 16 16 16 15 15 14 13 11 9 7 7 7 7 8 9 9 9 10 10 9 9 8 7 7 7 8 8 9 9 10 11 12 12 13 14 15 15 16 16 17 17 17 17 17 17 17 17 16 16 15 14 14 14 14 14 14 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 nan
nan 11 11 11 11 10 8 7 6 6 7 7 8 9 9 10 10 11 12 12 12 12 11 10 10 9 9 9 9 10 10 10 10 11 12 13 14 14 14 13 13 13 13 13 12 12 12 11 10 10 9 9 10 11 11 12 12 13 12 10 9 8 9 9 10 10 11 12 13 13 13 13 12 10 9 8 8 7 9 10 11 11 11 11 11 12 13 13 13 12 13 13 15 17 19 20 21 21 20 18 16 14 11 8 7 6 6 6 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 9 9 10 11 12 13 14 15 15 16 17 17 18 18 18 18 18 17 17 16 15 14 14 14 14 14 14 14 14 14 13 13 12 12 12 11 11 11 11 11 11 12 12 13 13 13 12 11 11 12 12 12 12 13 13 13 12 12 12 11 11 10 10 10 10 nan
nan 9 8 9 10 10 9 7 6 7 7 8 8 8 8 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 12 13 14 15 16 16 15 15 14 13 13 12 12 11 11 10 9 8 7 7 8 8 9 10 10 10 11 10 10 10 11 12 13 13 14 13 13 12 12 11 11 12 12 12 11 10 9 9 9 10 11 11 11 12 13 14 13 12 12 11 13 15 17 20 21 21 21 19 16 14 11 9 7 6 6 6 6 6 7 7 8 9 9 9 9 8 7 7 7 7 7 8 8 9 10 11 12 13 14 15 16 17 18 18 19 19 19 18 18 17 16 15 15 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 nan
nan 10 9 8 9 10 10 9 8 8 8 9 9 8 7 7 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 13 15 17 18 19 19 17 16 15 14 13 11 10 10 10 10 9 8 8 7 7 7 8 8 8 8 9 9 10 11 13 14 15 15 15 13 12 11 10 11 11 13 14 15 15 14 11 9 9 9 10 11 11 10 10 10 10 9 8 8 9 10 11 13 15 15 15 14 12 11 10 8 8 7 6 5 5 6 7 7 8 8 9 9 9 9 8 8 7 7 7 8 8 8 9 10 11 13 14 15 16 17 18 19 19 19 19 19 19 18 17 16 16 15 14 14 14 14 14 14 14 14 13 12 12 12 12 13 13 14 14 14 14 14 14 13 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 nan
nan 12 11 10 10 10 10 9 8 8 9 9 10 9 9 9 9 10 10 11 12 12 12 12 12 13 13 13 13 12 12 13 14 16 19 21 23 21 19 17 15 13 11 10 9 9 9 10 10 10 10 9 8 7 7 7 7 7 8 9 10 13 14 16 16 16 15 13 12 11 10 11 12 13 14 15 15 14 12 10 8 8 9 9 9 9 7 7 7 6 6 6 6 7 7 7 7 8 8 8 9 8 8 8 7 7 6 5 6 6 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 11 12 13 14 15 16 17 18 18 19 19 19 19 19 18 18 17 16 16 15 15 14 14 14 14 14 14 14 13 12 13 13 14 14 14 15 14 14 13 13 12 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 11 11 11 11 11 nan
nan 11 11 11 11 10 9 8 7 7 8 8 9 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 14 13 14 15 17 20 22 23 21 18 16 13 11 10 8 8 8 9 10 11 11 11 11 9 8 7 7 7 8 10 11 13 15 16 17 17 15 15 14 12 11 10 9 10 11 12 13 13 13 12 9 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 7 7 8 8 7 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 15 16 17 18 19 19 20 19 19 19 18 18 17 16 16 15 15 14 14 14 14 14 14 14 14 13 13 14 14 15 15 15 14 13 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 nan
nan 9 11 12 12 11 9 8 6 6 6 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 12 13 13 15 16 18 19 19 18 15 12 10 9 8 7 8 9 10 10 11 11 11 11 11 11 9 9 9 10 12 14 16 17 16 16 15 14 13 12 11 10 9 8 9 10 11 12 13 13 11 10 8 7 6 6 7 7 6 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 8 8 8 9 9 9 10 10 10 11 11 12 12 13 14 15 17 18 19 19 19 19 18 18 18 17 17 16 16 15 15 14 14 14 15 15 15 15 15 14 14 14 14 15 15 14 13 13 12 11 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 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
8 7 7 6 4 3 2 2 2 2 1 1 1 1 1 1 0 0 1 3 4 3 1 0 0 0 0 33 109 212 251 216 143 70 39 11 3 0 0 0 0 0 0 0 0 0 38 93 135 136 75 29 13 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 7 22 55 84 154 248 330 385 404 437 379 316 282 280 297 306 315 331 345 314 246 205 196 211 211 183 136 92 59 40 24 10 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 1 2 1
7 7 7 6 5 4 3 3 2 2 1 0 1 1 1 1 0 0 1 2 5 4 3 1 0 0 0 52 139 203 209 154 92 45 16 2 0 0 0 0 0 0 0 0 0 8 53 98 117 105 65 29 20 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 16 22 29 57 138 252 311 332 344 424 331 260 233 244 275 307 330 340 338 322 277 239 216 189 133 98 80 60 42 28 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 6 12 6
7 6 6 5 4 4 3 2 2 1 0 1 1 0 0 0 0 0 0 1 4 5 5 3 1 0 7 48 136 184 186 149 103 66 34 13 4 1 0 0 0 0 0 0 0 11 35 42 33 28 14 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 10 16 19 65 173 309 318 314 296 270 268 244 222 220 241 278 305 301 289 280 270 255 220 160 95 44 53 48 36 22 10 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 8
6 6 6 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 2 1 6 39 135 197 218 202 161 108 69 37 14 3 0 0 0 0 0 0 0 3 5 6 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 36 86 153 231 311 298 286 255 231 231 221 205 199 208 228 237 216 209 241 301 355 309 175 87 49 33 40 32 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 20 17 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 5 5 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 3 5 3
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