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 17 17 14 9 7 9 10 9 8 7 6 6 6 6 7 8 10 11 11 10 7 6 6 6 5 4 6 7 8 8 8 9 10 11 10 9 6 5 4 4 5 4 4 4 4 4 5 6 8 10 11 11 11 9 7 6 6 6 6 6 6 6 7 7 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 nan
nan 15 16 13 8 6 8 9 10 10 8 7 7 6 5 6 9 11 11 11 8 6 6 7 6 5 5 7 7 8 8 8 9 10 12 12 11 8 5 5 5 5 5 4 4 4 4 4 5 7 9 10 11 12 12 10 8 8 7 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 7 7 7 6 6 6 nan
nan 13 14 12 9 7 7 8 10 10 9 9 8 8 7 8 10 11 11 10 8 6 7 7 7 6 6 7 8 8 9 8 8 10 12 14 13 10 7 6 6 6 5 5 5 5 4 3 4 5 6 8 10 11 12 11 10 9 8 7 7 7 7 7 6 6 6 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 6 5 5 5 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 12 12 11 10 8 7 7 8 9 9 9 10 10 10 11 11 11 11 9 7 7 8 9 8 6 7 7 8 9 9 8 8 10 12 14 14 12 10 8 7 6 6 6 6 6 4 3 3 3 3 5 7 9 10 10 10 9 8 8 8 7 7 7 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 6 5 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 11 11 10 9 8 7 6 7 7 7 9 10 12 13 13 12 11 9 7 7 8 11 12 10 8 7 7 8 9 9 9 9 9 11 13 15 14 13 10 7 6 6 6 6 5 4 3 3 2 2 3 5 6 7 8 9 8 8 8 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 6 7 7 7 7 8 8 8 7 7 6 6 7 7 6 6 7 7 7 7 6 6 6 6 6 nan
nan 10 10 10 9 8 6 6 6 7 7 8 9 11 12 12 11 10 8 7 8 10 14 14 11 9 8 8 8 9 10 11 10 8 9 11 14 16 14 10 7 6 6 7 6 5 5 4 3 3 2 2 3 4 5 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 nan
nan 10 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 12 14 14 12 10 9 8 8 10 12 13 11 8 8 10 13 16 13 9 7 6 6 6 6 6 6 5 4 3 3 2 2 3 4 5 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 5 5 6 6 6 6 6 7 8 8 9 8 8 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 nan
nan 11 11 11 10 10 10 11 11 12 12 11 9 7 7 7 7 7 7 8 10 12 13 13 13 11 10 9 9 10 11 13 11 10 10 11 14 14 11 7 4 3 4 4 5 5 6 5 4 4 4 3 3 3 3 4 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 7 6 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 11 10 10 10 10 11 12 13 13 14 12 8 6 6 7 7 7 6 7 8 10 12 12 12 12 11 11 10 9 10 12 13 13 14 14 14 11 7 4 2 1 2 1 2 2 3 4 5 5 5 4 3 3 3 3 4 5 6 7 7 7 7 7 7 7 8 8 7 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 11 10 10 10 10 11 11 12 13 14 12 8 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 10 9 10 12 13 15 16 16 14 11 7 5 4 3 3 1 0 0 1 4 6 8 8 5 3 3 3 3 3 4 5 6 6 6 6 7 7 8 9 9 8 8 7 8 8 9 9 9 10 10 10 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 6 6 6 6 6 6 6 6 nan
nan 9 10 10 10 10 9 9 10 12 12 11 10 9 9 9 8 7 7 7 7 7 7 8 8 9 9 10 9 10 10 11 12 14 16 16 15 13 11 9 9 9 9 7 4 3 4 6 11 13 10 4 2 3 4 4 3 3 3 4 5 5 5 5 6 7 8 8 7 7 8 8 9 10 10 10 11 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 9 9 9 9 9 9 10 11 11 12 12 11 10 9 8 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 12 13 14 14 14 13 13 13 14 14 14 13 12 12 14 18 18 11 4 2 6 8 6 4 3 4 4 4 5 5 5 5 5 5 6 6 6 7 8 9 10 10 10 10 10 10 10 11 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 7 7 6 6 6 nan
nan 9 10 10 9 9 9 9 9 10 10 11 12 13 12 10 9 9 9 8 7 7 7 7 7 7 8 9 10 11 11 11 10 10 10 11 12 12 12 12 12 13 14 16 18 18 19 22 23 18 11 5 7 13 14 11 8 7 7 7 7 7 6 6 6 6 5 4 5 6 7 8 10 10 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 6 6 nan
nan 10 10 10 10 10 10 10 10 10 11 12 13 12 11 9 9 9 10 10 9 8 7 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 13 15 17 18 20 18 14 8 7 12 16 15 13 11 11 11 11 11 10 9 8 8 6 5 5 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 5 6 nan
nan 10 10 10 10 9 9 10 11 11 12 12 12 12 11 9 9 10 10 10 10 8 7 6 7 7 8 8 8 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 11 12 12 10 7 6 8 12 13 12 11 11 12 13 13 12 12 10 9 6 4 5 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 5 6 nan
nan 10 10 10 9 9 9 10 11 12 11 11 11 11 11 10 9 9 10 10 10 9 7 7 7 8 8 8 8 8 7 7 7 8 9 10 12 12 11 10 10 10 10 10 9 9 8 8 7 7 7 9 10 10 10 9 9 9 10 12 11 9 7 5 3 3 7 13 14 13 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 6 6 6 6 6 nan
nan 9 9 9 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 8 9 9 8 7 6 6 6 7 10 13 13 13 12 10 9 9 9 9 9 9 9 10 9 10 10 10 10 10 9 9 9 10 10 7 5 4 3 3 5 9 13 14 12 10 9 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 nan
nan 9 8 8 8 8 10 11 11 10 10 10 10 10 10 11 11 11 11 10 9 8 8 7 7 8 8 9 9 8 7 6 6 5 7 10 13 14 15 13 10 9 8 8 8 10 11 12 12 11 11 11 11 10 10 10 10 10 10 9 7 5 5 5 6 7 9 11 11 10 9 10 11 12 11 10 10 10 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 7 nan
nan 8 8 8 8 9 10 10 10 9 10 10 10 10 10 12 13 13 11 9 8 8 7 7 7 8 8 8 8 7 6 6 5 5 8 10 12 15 17 15 12 10 8 8 8 10 12 13 13 12 11 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 10 12 13 13 14 14 16 15 13 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 10 10 10 10 9 9 9 9 8 9 10 13 14 13 11 9 8 8 8 8 8 8 8 8 8 7 6 5 5 6 8 9 11 16 19 17 14 10 7 7 8 10 12 14 14 12 11 10 9 9 10 9 9 9 10 9 9 9 10 10 10 11 14 18 20 20 19 19 18 16 13 10 9 9 9 8 8 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 8 8 7 7 nan
nan 11 11 10 9 9 9 9 10 9 9 8 7 9 11 14 15 13 11 10 9 9 9 9 9 8 9 9 8 7 6 5 4 6 7 9 12 17 19 17 14 9 5 6 8 9 11 14 14 13 11 9 8 9 9 9 9 10 10 10 10 10 11 11 12 14 19 22 23 21 19 18 16 14 11 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 7 7 nan
nan 13 11 8 6 6 6 8 9 9 8 8 8 10 12 14 14 13 12 11 11 11 10 10 9 9 10 10 9 8 7 6 6 7 7 8 12 15 16 15 12 7 5 6 7 8 10 13 13 13 11 9 8 8 8 9 9 10 10 10 11 12 12 12 14 18 22 23 22 18 16 14 13 12 11 10 9 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 nan
nan 12 10 7 6 6 6 8 9 9 9 9 10 11 12 12 12 12 12 12 13 13 12 11 11 11 12 12 10 9 8 7 8 8 8 8 10 11 12 13 11 8 7 6 5 6 9 11 13 14 13 11 9 9 8 9 10 10 11 11 12 13 13 15 18 23 24 23 19 16 14 13 12 12 11 11 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 12 11 11 10 9 9 9 9 9 9 9 9 8 8 7 7 6 nan
nan 11 10 10 9 9 9 9 10 10 9 10 10 11 12 12 12 11 12 13 13 13 12 11 11 12 12 11 10 8 8 9 9 9 8 7 7 8 11 13 12 10 9 6 4 5 7 9 13 15 15 13 11 9 8 9 9 10 11 11 12 12 14 18 23 24 23 20 17 14 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 8 8 7 7 7 6 nan
nan 13 12 12 11 9 9 9 9 9 9 10 11 12 14 14 13 13 12 12 12 11 11 10 11 11 11 9 8 8 8 9 10 9 7 7 7 8 11 13 13 12 10 6 4 5 6 8 13 15 15 15 12 9 8 8 9 10 11 11 12 13 15 18 20 19 18 16 15 14 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 nan
nan 13 12 11 10 8 7 7 7 8 8 9 11 13 16 16 15 14 12 10 10 10 11 11 11 11 10 9 8 8 9 10 11 10 9 8 7 9 12 13 14 13 9 6 5 5 6 8 12 14 15 15 11 9 8 8 9 10 11 12 13 13 14 13 13 13 14 14 14 13 13 13 13 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 nan
nan 12 12 12 11 10 8 7 7 8 9 10 12 15 16 16 15 13 10 8 9 11 13 13 13 12 11 10 10 10 11 13 13 12 10 8 7 9 11 13 15 13 9 7 6 5 6 8 11 13 14 13 10 9 8 7 9 11 12 12 13 13 12 12 12 15 17 17 15 14 13 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 nan
nan 12 13 14 14 13 11 10 9 10 11 12 14 16 16 16 15 12 11 10 11 13 14 13 13 12 11 11 12 13 14 14 13 12 10 9 9 10 12 14 15 14 11 9 7 5 6 7 9 11 13 11 10 8 7 7 9 10 12 13 13 12 12 13 17 22 22 21 17 15 14 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 12 12 12 13 13 12 11 11 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 12 13 14 14 15 14 12 12 12 12 13 15 16 16 15 14 13 13 14 15 15 14 13 12 12 11 11 12 14 14 12 11 9 9 9 10 12 13 15 16 15 14 11 8 6 7 7 8 11 12 10 9 8 7 7 9 10 12 13 13 13 13 15 19 22 22 21 17 15 16 16 16 16 15 15 14 14 14 13 13 13 14 14 14 14 14 13 13 13 13 13 12 11 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 nan
nan 12 13 14 14 14 14 14 14 14 14 14 15 15 14 14 14 14 14 15 16 16 15 15 14 12 11 11 11 11 9 8 6 5 6 8 10 12 13 14 15 16 15 13 10 9 8 8 9 10 10 10 10 8 7 7 8 10 12 13 13 13 12 14 15 15 16 16 16 16 16 16 15 15 15 14 14 13 13 13 13 14 15 14 14 14 14 14 13 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 nan
nan 13 14 15 16 17 18 18 18 17 16 16 15 14 13 13 14 14 14 14 14 15 15 15 14 12 11 9 8 7 6 4 4 3 4 5 8 10 11 12 14 16 17 15 12 11 9 8 9 9 10 10 9 7 7 7 9 11 12 12 12 11 11 11 10 8 10 12 14 16 16 15 14 14 14 13 13 13 13 13 13 14 14 14 14 13 13 13 12 12 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 14 16 18 19 21 23 24 24 24 23 22 21 18 15 14 13 13 13 13 12 12 12 12 11 10 8 7 6 5 5 4 4 4 4 5 6 8 9 11 14 17 18 17 15 11 9 8 8 9 10 10 8 8 8 8 9 11 11 11 10 10 10 9 8 6 6 8 11 14 15 14 14 13 13 13 12 12 12 12 13 13 13 13 12 12 12 11 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 17 17 17 18 20 22 24 26 27 28 29 28 26 22 19 15 14 13 12 11 10 9 9 8 7 6 6 5 5 5 5 5 5 5 6 6 7 8 10 13 16 19 18 16 12 10 9 9 9 10 9 9 9 8 8 9 9 9 9 9 8 8 8 8 7 5 5 8 11 13 14 14 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 15 14 13 12 13 14 16 19 21 24 27 30 31 29 27 23 19 16 13 11 10 10 9 9 8 7 6 6 6 6 6 6 6 6 6 7 7 8 10 12 15 16 17 16 14 11 10 9 9 10 10 10 9 8 8 8 7 7 7 7 7 8 8 8 7 5 3 5 8 10 13 13 12 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 nan
nan 9 8 8 8 7 8 8 10 12 15 19 23 28 30 31 30 26 21 16 12 11 10 10 10 10 9 8 7 6 6 6 6 7 7 7 7 8 9 10 11 13 15 16 16 14 13 11 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 7 6 4 3 4 6 10 11 11 11 11 12 11 12 12 12 12 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 5 4 4 nan
nan 5 5 6 6 6 5 5 5 7 9 12 16 20 25 29 31 29 25 19 15 12 11 10 11 11 11 10 9 8 7 7 7 8 8 8 8 9 9 10 11 12 13 14 15 15 13 11 10 10 10 9 8 7 7 7 8 8 9 8 8 7 7 7 7 8 7 5 2 1 1 3 5 7 8 9 10 11 11 12 12 12 11 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 nan
nan 2 3 4 5 5 4 4 3 2 3 6 11 15 19 24 28 29 27 22 17 13 12 11 12 13 13 13 12 10 9 9 9 9 9 8 8 8 8 9 10 11 12 13 14 14 14 12 11 11 9 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 6 3 -1 -3 -4 -4 -2 1 3 5 7 9 11 11 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan -2 -0 1 2 3 3 4 2 -0 -2 1 6 10 15 19 23 25 24 22 18 15 13 13 14 15 15 15 13 12 11 10 10 9 8 8 8 7 6 7 8 9 11 13 15 15 15 13 12 10 9 8 8 7 7 6 7 7 7 8 9 9 9 9 9 9 8 7 5 2 -2 -5 -6 -6 -4 -3 -2 -1 3 7 9 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 nan
nan -2 -1 1 2 3 3 4 3 -1 -4 -3 1 6 11 15 18 19 18 17 16 16 15 15 15 15 15 15 13 13 12 11 10 8 8 8 7 5 4 4 5 7 11 14 16 17 16 13 11 10 9 8 7 7 6 6 6 5 6 6 8 8 9 10 10 9 9 9 8 6 3 1 0 -0 -2 -3 -5 -5 -3 2 6 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 nan
nan 3 3 4 5 6 6 6 5 1 -3 -3 -2 2 7 11 13 13 13 14 15 16 16 16 16 15 14 14 13 12 12 11 10 9 9 8 7 5 4 4 4 7 11 14 16 17 15 13 11 9 8 8 7 7 7 6 6 5 5 6 7 7 8 10 10 10 10 9 9 8 7 7 7 7 4 2 1 -1 -0 1 3 5 6 7 7 6 6 6 7 9 9 9 10 10 10 10 10 10 9 9 9 9 10 11 12 13 13 12 11 10 10 10 nan
nan 8 7 7 8 8 8 8 6 4 1 0 0 3 7 10 11 10 10 12 14 15 16 17 17 16 15 14 13 12 12 11 11 11 11 10 8 7 6 5 5 8 11 13 16 16 14 12 10 9 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 9 9 9 10 9 8 8 7 6 4 2 2 3 3 3 2 1 2 3 4 6 8 9 9 9 10 10 10 10 9 9 10 10 10 11 13 14 14 13 12 11 10 10 nan
nan 9 8 8 7 7 8 9 8 6 5 4 5 6 8 10 10 10 10 11 13 14 15 16 18 18 16 15 13 12 12 12 12 13 13 12 11 9 8 7 8 10 11 13 15 15 13 12 10 9 9 9 9 9 10 11 11 10 9 8 8 7 8 8 8 8 7 7 7 8 9 10 10 10 10 10 10 9 7 5 3 2 1 0 -1 -1 -1 1 2 4 5 7 7 8 9 9 10 10 10 10 10 10 11 12 13 14 15 15 13 11 11 10 nan
nan 9 8 7 7 7 8 9 8 7 6 6 7 8 9 9 9 9 10 11 12 12 13 16 18 19 18 17 14 12 11 11 12 12 12 11 11 10 9 9 10 11 12 14 14 14 13 11 10 9 9 9 10 11 12 12 13 12 11 10 9 9 9 9 7 7 7 7 7 8 9 9 9 10 10 10 10 10 9 8 6 5 4 3 2 2 3 3 3 3 3 4 5 5 6 7 8 9 9 10 10 11 11 12 13 14 15 15 14 13 11 10 nan
nan 9 9 8 8 8 9 10 10 9 8 8 8 9 9 8 8 8 9 11 11 11 12 14 16 18 19 18 16 13 12 11 11 10 10 10 9 8 8 9 10 11 14 15 15 14 13 11 10 10 10 10 10 11 12 13 13 13 12 12 11 11 10 9 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 7 6 5 4 3 3 4 4 5 6 7 8 9 10 10 11 11 12 13 14 15 15 15 13 11 nan
nan 10 10 10 9 9 10 11 11 10 10 10 10 10 9 8 7 8 9 10 11 11 11 11 12 15 17 17 16 14 13 12 11 11 11 10 9 8 8 9 9 12 15 16 16 16 14 12 12 11 11 10 11 11 11 12 12 12 12 12 12 12 11 9 8 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 6 6 5 5 4 5 5 7 8 9 10 10 10 11 11 13 14 16 16 14 13 nan
nan 9 10 10 10 10 10 11 11 11 11 11 11 10 9 8 7 8 9 10 12 12 11 11 11 13 15 16 15 14 13 14 14 14 14 14 12 10 9 8 9 12 14 16 18 18 16 14 13 12 11 11 11 11 11 11 11 11 11 12 12 12 10 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 6 6 5 5 5 7 8 9 9 9 9 9 11 12 14 15 15 14 nan
nan 9 9 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 10 11 12 12 11 11 13 14 16 15 14 14 14 15 15 16 16 16 14 13 11 9 10 11 13 15 18 18 17 16 14 12 11 11 11 11 11 11 11 11 11 12 11 11 9 9 8 8 8 8 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 8 8 7 6 6 6 6 7 7 7 7 7 8 9 11 12 13 13 nan
nan 9 9 9 10 10 10 10 10 10 11 11 11 10 9 8 8 10 12 12 12 10 10 11 13 16 17 16 15 14 14 14 14 15 15 15 14 14 12 11 11 12 13 16 17 18 17 16 14 12 12 11 11 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 6 6 6 6 6 5 5 5 6 7 8 9 10 11 nan
nan 9 9 9 10 10 10 10 10 10 10 11 11 11 10 8 9 11 13 14 13 11 10 11 13 15 16 16 15 14 12 12 12 12 13 13 13 13 12 12 12 12 13 15 17 17 18 16 14 13 12 11 12 12 12 13 13 12 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 6 6 5 5 6 6 7 7 8 8 nan
nan 9 9 9 9 10 10 10 10 10 10 11 11 12 11 10 10 11 13 14 13 12 11 11 12 13 14 14 14 13 12 11 11 11 11 11 12 11 11 11 11 11 12 14 15 17 18 17 15 13 11 11 11 12 12 12 12 11 11 10 9 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 nan
nan 9 10 10 10 9 9 9 9 9 10 10 11 12 12 11 11 11 11 11 12 11 11 11 11 12 12 12 12 13 12 12 11 11 11 11 12 11 11 10 10 11 11 13 14 16 17 16 15 13 11 11 11 10 11 12 12 11 10 9 8 8 9 10 10 11 12 11 11 10 10 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 9 10 9 9 nan
nan 9 10 10 10 10 9 9 9 9 10 10 11 12 12 12 11 10 9 8 9 9 8 9 9 10 10 11 11 11 11 11 10 10 11 11 12 12 12 11 11 11 12 12 14 15 16 16 16 14 12 11 11 10 10 11 12 12 11 11 10 10 11 11 12 12 12 11 11 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 nan
nan 9 9 10 10 10 10 10 10 9 9 10 11 11 11 11 10 9 8 8 8 7 7 6 6 6 7 8 8 8 8 7 7 7 8 9 11 12 13 13 13 13 13 13 14 15 15 16 16 15 14 13 12 11 11 11 12 12 13 13 13 13 13 14 13 13 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 nan
nan 9 9 10 10 11 11 10 10 9 9 10 10 11 11 10 10 10 10 9 9 8 7 6 5 4 5 5 6 6 5 4 4 4 4 5 7 9 11 12 13 13 14 14 14 15 15 16 16 15 15 15 14 13 13 12 12 13 13 14 15 15 15 15 14 14 13 12 11 11 11 11 11 10 10 10 9 9 9 10 9 9 9 9 9 10 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 nan
nan 9 9 10 10 10 10 10 10 9 9 10 11 11 11 11 11 10 11 11 10 10 9 9 8 6 5 5 5 6 5 5 4 4 3 3 3 5 7 9 10 12 12 13 13 14 15 15 15 15 15 15 15 15 15 15 14 14 14 14 15 16 16 15 14 14 13 12 11 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 11 nan
nan 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 10 10 9 8 8 7 8 8 8 7 6 5 4 4 3 4 5 7 9 10 11 11 12 13 13 14 14 14 15 16 16 16 16 15 15 14 14 15 14 14 14 14 13 12 11 11 11 11 11 10 10 10 10 10 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 11 11 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 9 9 9 8 7 7 6 5 4 4 5 7 8 9 10 10 11 12 12 12 13 14 14 15 15 15 15 14 14 13 13 13 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 9 8 7 5 4 5 5 7 7 8 9 10 11 11 11 12 12 12 13 13 14 14 13 13 12 12 11 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 8 8 9 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 9 9 9 9 9 8 7 6 5 5 5 6 6 8 9 10 10 10 11 12 12 12 12 12 13 13 12 12 12 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 11 10 10 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 12 12 12 11 10 10 10 9 9 9 8 8 7 6 6 6 6 7 8 9 9 9 11 12 13 14 13 13 12 12 12 12 12 12 12 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 12 12 13 13 12 11 11 10 10 9 9 9 9 8 8 8 7 7 7 8 8 8 9 10 12 14 15 15 14 13 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 10 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 nan
nan 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 8 8 9 9 8 8 9 10 12 14 15 14 14 13 13 13 12 12 12 12 12 12 12 11 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 8 9 10 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 11 12 12 12 12 13 12 12 11 12 13 13 14 14 13 12 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 12 13 15 16 15 13 12 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 nan
nan 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 12 11 10 10 9 8 7 7 7 7 8 8 8 8 11 14 15 15 14 13 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 12 11 12 11 11 11 10 10 10 9 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 13 12 12 10 9 8 7 7 7 6 6 6 6 5 7 9 10 12 14 14 14 13 12 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 11 27 56 97 144 179 186 184 176 160 139 105 82 68 62 63 75 75 67 56 44 34 26 16 11 10 8 6 5 4 4 3 3 3 2 1 0 0 0 0 0 0 1 2 4 13 24 33 34 27 20 16 13 11 7 8 11 15 21 27 31 37 48 61 71 76 74 68 60 51 42 37 33 30 25 20 17 16 16 16 18 21 28 33 39 45 55 62 64 65 67 64 62 61 58 54 54 52 50 47 39 30 24 16 10 9 9 9 9 8 7 7
0 0 9 33 69 108 161 179 177 165 152 138 108 87 77 72 59 62 67 72 72 63 39 23 15 12 11 7 6 6 6 6 6 6 4 3 3 2 1 2 2 1 2 5 8 13 23 33 37 35 27 19 15 13 14 11 11 14 19 27 35 40 44 52 61 76 85 87 85 78 67 55 47 41 35 24 21 21 21 20 18 20 22 26 30 34 40 48 54 64 77 76 74 72 69 60 52 51 48 44 39 34 26 18 11 8 9 8 8 8 7 7 8
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