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 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 7 6 6 5 5 5 6 4 2 1 3 7 13 15 12 10 9 9 9 8 6 2 -1 -0 5 9 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 12 12 13 13 13 nan
nan 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 8 7 6 5 5 6 6 6 5 5 5 5 6 6 6 7 8 10 14 16 14 12 10 9 9 9 7 3 -1 0 7 14 15 14 12 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 nan
nan 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 7 7 7 7 8 8 8 8 7 6 6 5 4 4 5 6 6 5 5 6 7 7 8 9 9 9 9 11 12 12 11 10 10 10 8 5 1 0 8 16 20 19 15 13 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 8 8 8 7 6 5 5 5 6 7 7 7 6 6 7 7 7 8 8 7 6 5 5 9 12 12 11 10 10 8 6 4 8 17 22 21 18 15 15 14 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 nan
nan 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 6 6 6 7 7 8 8 8 7 7 6 6 6 8 9 8 7 7 7 7 7 7 7 7 6 6 7 11 15 16 14 11 10 10 10 11 14 20 24 23 20 17 17 18 17 15 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 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 11 11 11 11 12 12 12 13 13 13 nan
nan 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 6 7 7 7 8 8 8 8 7 7 6 7 8 8 7 6 6 7 7 8 8 8 8 8 9 12 17 19 18 14 11 11 11 13 14 17 20 21 19 16 15 17 18 17 15 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 12 nan
nan 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 9 8 7 7 8 8 8 8 7 7 7 7 7 7 5 5 6 8 9 9 9 9 9 9 9 11 13 14 13 11 11 11 11 11 11 11 12 13 13 11 12 13 14 14 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 7 6 7 7 7 7 7 8 7 7 7 7 7 8 10 11 10 10 9 9 9 8 8 8 8 7 7 8 8 9 9 8 7 8 9 10 11 10 10 10 11 12 12 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 nan
nan 9 9 8 8 8 8 8 8 9 9 9 9 8 6 6 7 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 9 7 5 5 6 6 7 7 7 7 7 6 5 7 9 11 12 11 10 10 9 9 9 8 8 7 7 6 6 5 6 7 9 9 9 10 11 12 11 10 9 10 11 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 nan
nan 9 8 8 8 8 8 9 9 10 10 10 9 7 6 6 7 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 7 5 3 4 5 6 7 7 7 6 5 5 6 7 9 11 11 10 10 9 9 9 9 8 8 8 8 7 6 6 7 10 11 12 12 12 12 11 10 10 10 10 11 10 10 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 8 9 10 10 10 10 9 8 8 9 9 9 7 7 7 8 10 11 10 9 8 8 8 8 9 8 8 7 7 7 7 7 7 8 8 8 7 4 3 5 6 7 7 6 6 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 10 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 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 11 11 11 11 11 11 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 9 9 10 10 10 9 9 9 10 11 11 11 10 10 11 11 12 11 9 8 7 6 7 8 8 7 6 5 5 6 7 7 7 7 8 8 7 6 6 8 8 8 7 6 7 9 10 11 12 12 11 10 9 8 7 7 8 9 10 10 10 10 10 10 10 10 12 13 12 10 10 10 10 10 11 10 9 9 9 10 10 9 8 8 9 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
nan 8 8 8 8 8 9 9 9 9 9 8 8 9 10 11 12 11 12 12 12 12 12 10 9 8 7 7 8 9 9 8 6 5 6 7 8 8 7 7 8 8 8 8 9 10 10 9 7 7 8 9 10 11 11 11 11 10 10 9 8 8 10 11 12 12 11 11 10 11 11 13 15 14 12 10 9 10 11 11 11 11 10 10 9 9 8 7 6 6 6 5 6 7 7 7 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 9 9 8 8 8 9 9 9 8 8 8 9 9 10 10 10 10 11 10 10 10 10 9 9 9 9 9 11 10 10 9 8 9 10 11 10 9 9 8 9 9 9 9 10 12 11 9 7 8 8 9 9 9 9 10 11 12 12 11 11 12 14 14 14 13 12 11 11 11 12 14 15 13 11 10 10 12 12 11 11 11 11 11 9 8 7 6 4 3 1 2 5 7 8 8 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 12 12 12 12 11 12 12 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 7 8 8 8 9 9 10 11 11 11 10 10 11 12 13 12 11 9 9 10 10 11 11 11 11 11 10 8 7 8 9 9 9 9 9 9 10 11 12 13 13 14 15 15 14 12 12 12 12 12 13 13 12 11 9 10 12 13 13 12 12 12 11 11 10 9 8 5 1 -2 -1 3 7 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 nan
nan 8 8 8 8 8 9 9 9 9 10 10 9 9 10 10 11 10 8 6 7 8 8 8 8 8 9 9 10 10 10 10 11 11 11 10 9 9 9 11 12 13 12 11 11 10 9 8 8 9 10 10 10 10 9 9 9 10 11 12 12 12 11 10 10 11 12 13 14 14 14 13 11 10 9 10 11 12 13 12 12 12 11 11 10 10 7 4 1 0 5 10 13 14 15 15 14 13 13 13 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 8 8 9 9 9 10 10 10 10 9 10 10 10 8 7 6 7 8 8 8 7 6 6 7 7 8 9 9 10 10 9 9 9 9 9 10 11 12 11 10 10 9 8 8 10 11 11 11 11 11 10 9 9 9 10 10 10 9 8 7 8 10 12 13 14 15 15 14 13 11 10 10 11 12 11 11 11 11 11 11 11 10 8 7 8 11 16 19 21 22 22 21 20 18 17 17 17 15 14 13 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 8 7 7 7 8 8 8 8 6 5 5 6 6 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 10 12 12 11 10 10 10 10 9 9 9 9 9 8 7 6 6 9 11 12 12 12 12 13 14 13 12 12 12 13 12 10 9 9 11 12 11 10 9 9 10 13 17 20 22 23 23 22 22 23 24 25 24 22 20 16 13 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 5 6 7 8 9 8 7 6 6 6 8 10 12 12 11 10 10 10 9 9 10 9 9 9 8 7 6 5 7 10 12 12 11 10 11 11 11 11 12 13 14 14 12 11 11 11 12 11 10 9 8 9 10 12 14 15 15 14 12 12 13 16 19 22 23 21 17 13 11 12 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 nan
nan 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 8 7 7 6 6 6 7 9 11 12 12 11 9 7 6 8 10 11 12 11 11 10 10 10 10 10 11 10 10 10 9 7 7 8 10 12 13 11 10 10 10 10 10 10 11 12 13 13 12 12 12 12 11 9 8 8 8 9 10 10 10 10 8 6 5 4 3 4 6 8 9 8 5 5 10 16 19 16 13 12 12 12 12 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 nan
nan 10 9 9 9 9 9 10 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 10 9 10 10 10 10 11 11 10 9 8 9 10 13 14 14 13 11 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 11 12 13 13 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 9 8 8 9 9 10 10 10 10 10 9 9 9 8 6 3 1 0 -1 -3 -3 2 9 15 16 12 11 12 13 13 13 13 13 13 13 13 13 12 13 13 14 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 10 9 9 10 9 9 8 7 7 7 7 8 9 10 11 10 10 10 11 11 12 13 13 12 11 10 10 12 13 13 12 12 12 12 14 15 15 13 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 13 13 12 11 11 11 11 11 11 10 10 9 9 9 9 10 10 9 9 8 8 9 9 10 10 11 11 12 13 15 16 16 16 14 12 10 7 6 8 13 16 16 12 12 13 15 15 15 14 14 14 13 13 13 13 15 16 17 16 15 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 10 10 10 10 10 10 10 10 9 8 7 6 6 5 6 7 9 10 12 11 10 11 11 12 12 13 12 11 10 9 10 11 12 12 12 11 12 13 14 15 15 14 12 12 12 12 11 11 11 10 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 12 13 14 15 16 17 19 22 23 22 22 23 26 28 29 25 22 22 22 23 22 20 19 17 16 14 14 15 18 22 24 22 18 16 15 14 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 10 9 8 6 4 3 2 2 3 5 6 7 8 9 9 10 11 12 12 12 12 10 9 8 9 10 12 13 13 12 11 12 12 13 13 13 12 12 12 12 11 11 10 10 9 9 8 8 8 9 9 9 9 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 9 10 10 9 9 9 9 9 9 9 9 10 11 11 11 12 12 14 16 19 22 24 25 27 29 31 30 28 28 28 28 28 28 27 25 22 20 19 19 20 23 26 25 21 17 14 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 nan
nan 9 9 10 10 10 10 9 7 6 4 2 0 -0 -0 1 2 2 3 3 4 5 7 9 11 12 12 11 10 8 8 8 10 12 13 13 13 12 11 11 11 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 11 11 12 13 15 17 18 19 19 19 19 19 21 22 23 25 26 27 26 25 26 26 26 25 23 21 18 15 15 16 15 15 14 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 nan
nan 10 10 10 10 10 8 6 3 2 1 1 1 2 3 4 4 3 2 2 2 3 5 7 9 9 8 8 8 8 8 9 11 12 13 13 11 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 6 7 7 8 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 11 12 12 13 15 16 17 18 20 23 26 28 27 25 22 19 16 17 19 21 21 19 16 13 11 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 13 13 13 13 13 13 13 nan
nan 11 11 11 10 8 5 3 2 2 3 5 6 7 7 8 7 7 6 5 5 5 6 5 4 2 2 3 4 6 7 9 11 11 10 9 8 8 9 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 6 5 5 4 4 4 5 8 9 10 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 12 13 17 19 21 21 22 23 22 20 18 18 17 16 14 10 7 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 14 14 nan
nan 11 11 10 9 7 5 5 5 7 9 9 10 10 10 9 9 8 8 9 9 8 7 6 2 -1 -1 -1 1 3 6 7 8 7 7 6 6 6 7 8 10 10 9 10 10 10 10 10 10 10 10 9 9 9 8 7 6 5 5 5 5 4 4 3 5 7 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 9 9 9 10 11 12 13 13 12 10 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 17 18 18 14 9 4 0 -1 -0 -1 1 3 4 5 6 7 7 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 nan
nan 11 10 10 9 8 8 9 11 13 13 13 13 12 12 11 9 9 9 9 10 10 9 8 6 4 3 2 2 2 3 3 3 3 5 6 6 6 6 7 7 6 7 8 9 9 9 10 10 10 10 10 9 8 6 4 2 2 2 4 5 6 6 8 10 12 12 10 8 7 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 10 11 12 14 13 11 10 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 10 4 -2 -7 -8 -7 -5 -3 0 3 5 6 7 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 nan
nan 10 10 9 9 9 10 12 13 15 15 15 15 15 13 11 10 10 10 10 10 11 11 10 10 9 9 8 6 5 3 1 0 2 4 5 6 7 7 6 5 5 5 6 7 8 9 10 11 10 9 8 7 5 4 3 3 3 4 6 7 9 11 13 15 14 12 9 7 8 8 9 9 9 9 9 10 10 10 9 9 9 9 8 9 9 10 11 12 11 10 10 11 10 9 8 7 8 9 9 9 10 11 11 11 10 10 10 10 11 11 12 12 11 10 10 9 7 3 -3 -5 -5 -3 -1 1 3 5 7 8 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 nan
nan 9 9 9 9 10 10 11 12 12 12 12 12 12 11 10 11 12 12 12 11 11 11 11 11 11 10 10 9 8 6 5 4 4 3 2 1 2 4 4 5 6 7 7 7 8 9 11 10 9 7 6 5 4 5 6 8 10 10 10 11 12 14 14 13 12 10 8 8 8 8 9 9 8 8 9 9 9 8 7 7 7 8 8 8 8 9 10 10 9 10 11 11 10 9 8 8 8 9 9 9 10 11 12 11 11 11 10 10 10 11 11 11 9 8 7 5 0 -5 -7 -6 -2 2 5 6 7 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
nan 9 9 9 9 10 10 10 10 9 8 7 6 6 7 9 12 13 13 12 12 12 11 11 10 10 10 10 9 9 9 8 8 7 4 2 -0 -1 1 2 4 6 7 8 8 9 9 9 8 7 6 5 5 6 8 10 11 11 10 10 11 12 11 10 9 9 9 9 9 9 9 9 8 7 7 8 8 7 5 5 5 6 6 7 7 8 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 12 12 12 11 11 11 10 10 10 11 10 10 9 7 4 -1 -6 -8 -7 -3 2 6 7 8 9 9 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 nan
nan 9 8 9 9 9 10 10 9 8 5 2 2 4 7 10 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 8 7 6 4 4 4 4 5 6 7 8 8 7 5 4 4 4 5 6 7 8 8 7 6 6 7 9 8 7 6 6 7 7 8 8 9 9 8 8 7 8 8 7 6 6 7 8 9 8 8 8 8 8 8 7 6 6 6 7 9 10 11 11 11 10 10 11 12 12 11 11 10 10 10 10 11 11 11 10 10 8 4 -0 -3 -2 1 5 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 8 8 8 9 9 9 9 9 7 4 3 5 8 11 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 9 8 6 5 4 5 6 7 6 4 3 3 3 3 4 5 4 4 3 5 6 8 8 7 6 5 6 6 6 6 6 7 7 8 10 11 12 11 9 9 10 12 13 12 11 10 9 8 7 6 6 6 6 6 8 10 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 9 8 9 11 11 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 9 9 9 9 9 9 9 8 6 6 8 11 14 15 14 12 10 10 10 11 11 13 14 14 15 15 16 17 17 18 19 18 16 15 14 14 13 13 12 10 8 6 5 5 5 6 6 6 6 5 4 5 5 5 6 7 10 12 12 11 9 8 7 7 7 6 6 6 6 8 11 13 14 13 10 9 9 10 11 11 11 11 9 7 5 5 5 6 6 7 8 9 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 13 16 18 16 14 11 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 8 8 8 7 7 8 10 13 14 13 11 10 9 10 10 10 11 12 13 14 16 17 19 19 20 20 20 18 17 16 16 16 16 17 16 16 14 11 9 7 7 9 10 10 9 8 8 8 8 9 10 12 13 14 12 10 9 8 8 8 8 8 8 7 8 11 13 13 12 9 7 7 8 8 8 8 8 7 6 4 4 5 6 8 8 8 9 11 12 12 12 12 11 11 11 11 12 12 12 11 11 10 9 10 10 10 10 10 10 12 14 16 14 10 7 5 6 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 10 9 9 9 8 8 8 7 7 8 10 10 10 9 8 8 9 9 10 10 10 11 11 12 14 15 16 17 17 16 15 15 15 16 18 19 20 20 21 21 19 18 17 16 16 15 14 12 10 10 9 9 9 10 10 11 10 9 7 6 6 7 8 8 8 9 9 9 10 11 11 9 7 6 7 8 9 9 8 7 6 5 5 5 6 8 10 10 10 11 12 13 13 13 12 12 11 11 11 11 12 12 11 11 10 10 10 10 9 10 10 10 11 12 13 10 5 2 1 2 6 8 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 9 9 9 9 9 8 8 8 8 9 9 8 8 7 6 6 7 9 10 10 10 10 10 11 12 13 13 13 12 11 11 12 13 14 16 17 18 20 21 21 20 20 21 22 22 19 16 12 10 10 9 9 10 9 9 8 7 5 4 4 5 7 8 8 9 9 9 10 11 11 10 8 7 8 10 11 11 11 10 9 7 7 8 10 12 13 13 12 12 14 15 15 14 13 12 11 11 10 10 10 11 11 11 10 10 10 10 9 9 9 9 10 11 11 10 7 5 4 4 7 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 9 9 9 9 9 9 9 9 9 9 8 7 5 4 4 6 8 9 9 9 10 10 11 12 12 12 11 11 10 11 11 11 11 12 13 15 16 16 15 16 16 18 19 18 15 13 10 10 10 9 9 9 9 9 8 7 6 5 5 6 7 7 8 9 9 10 11 12 13 13 12 12 13 13 13 13 12 12 11 12 13 15 16 17 17 15 14 15 15 15 14 14 13 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 11 12 11 10 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 nan
nan 8 9 9 9 9 9 9 9 9 8 8 8 6 3 2 4 5 7 8 8 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 13 13 12 11 9 8 8 10 10 10 9 9 9 9 9 9 9 9 8 8 7 6 4 3 4 5 6 7 8 9 10 11 12 14 16 17 18 17 16 15 14 13 13 13 14 15 17 17 17 18 17 17 16 15 14 13 13 13 12 11 10 9 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 9 11 12 13 13 13 12 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 nan
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nan 10 10 9 8 8 8 9 9 9 10 9 7 4 4 5 6 8 9 10 11 13 14 13 13 13 12 11 11 11 11 11 11 10 11 11 11 10 10 10 11 13 13 11 9 7 5 3 2 1 0 -1 -2 -4 -5 -4 -2 -0 2 4 3 3 1 0 0 1 2 3 4 6 9 12 13 13 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 12 14 14 14 14 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 12 14 nan
nan 8 6 6 6 7 8 9 10 10 10 9 6 4 3 4 7 8 8 10 12 15 17 15 14 13 12 11 11 11 11 10 9 9 10 11 12 13 15 17 17 17 16 15 13 11 9 8 6 6 6 5 3 3 4 6 8 10 11 12 12 12 12 11 10 8 6 3 3 6 10 13 13 12 11 11 11 11 11 11 12 11 10 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 12 12 12 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 12 13 12 14 13 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 16 22 nan
nan 5 3 3 5 7 9 10 11 11 11 9 6 3 3 5 7 8 8 9 13 18 19 17 15 13 11 11 11 10 10 9 8 9 10 12 13 14 15 15 15 16 16 15 14 13 12 11 10 11 11 12 11 12 13 14 14 15 15 16 17 18 18 18 17 14 12 11 12 14 16 15 12 11 10 10 10 11 12 12 12 11 10 9 9 8 9 9 9 9 9 9 9 10 10 11 12 12 13 13 12 11 10 10 10 10 10 9 9 9 10 11 11 12 12 12 11 12 12 11 12 13 13 13 15 16 18 18 16 15 14 14 15 15 14 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 14 19 26 31 nan
nan 3 3 4 6 9 11 12 12 11 10 7 4 2 2 5 7 7 8 10 15 19 19 17 14 12 11 11 11 10 9 9 9 10 11 12 13 13 12 11 11 12 13 14 14 15 16 16 16 17 18 19 18 18 18 18 18 18 19 21 23 24 23 20 18 16 15 16 17 17 16 13 10 9 9 8 10 11 12 12 11 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 13 13 13 12 10 10 10 10 10 9 9 9 10 11 12 12 13 12 12 12 11 11 11 12 12 13 17 21 24 25 23 21 20 19 18 18 16 15 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 14 18 25 31 32 nan
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nan 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 11 11 11 11 12 13 15 15 15 14 13 12 11 11 11 11 12 12 12 12 12 12 11 11 10 10 11 11 11 11 10 9 8 8 8 10 13 14 14 14 13 14 15 17 20 22 24 26 26 25 22 17 13 9 7 7 7 5 5 5 4 4 4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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1 1 1 1 1 1 2 4 6 7 8 8 8 10 13 16 18 20 20 20 19 17 16 17 19 17 22 24 25 28 34 38 38 38 44 58 64 67 70 71 66 62 60 59 60 54 48 42 35 32 29 26 25 23 21 19 18 18 18 17 15 13 10 7 6 7 8 10 12 13 15 16 17 16 16 17 19 20 20 20 21 21 21 19 16 13 11 9 6 3 1 0 1 2 4 5 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 3 3 3 3 3 4 4 5 6 7 7 7 7 6 7 7 8 8 8 9 9 9 10 12 13 15 18 22 26 29 33 36 40 43 47
0 0 1 1 1 3 4 4 5 6 8 9 11 13 15 18 20 22 22 21 20 20 20 19 21 22 23 26 29 34 39 42 42 43 46 47 50 51 52 52 41 40 45 44 45 48 47 41 30 25 22 20 19 20 19 18 17 16 14 14 12 10 7 5 6 7 9 11 13 14 15 16 17 19 19 19 20 21 21 21 21 22 20 16 13 11 9 7 5 2 1 1 1 1 2 3 4 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 3 3 3 3 3 3 4 4 5 6 7 7 6 6 6 6 6 6 7 7 8 8 8 9 10 12 14 16 19 23 27 31 34 38 42 45
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1 2 3 3 4 5 5 6 7 8 10 12 14 14 15 28 36 37 33 27 27 28 31 33 34 33 32 33 40 46 47 45 42 43 41 40 37 34 30 28 27 26 25 22 21 22 23 25 24 21 19 18 18 18 17 16 15 14 13 12 11 11 11 11 11 11 12 12 13 13 13 13 12 12 13 13 14 15 16 16 16 15 14 13 11 10 7 4 1 0 0 0 0 0 0 0 1 2 3 2 1 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 2 3 3 3 3 3 4 5 5 6 5 5 4 4 5 5 4 4 4 6 7 8 9 10 12 13 15 17 20 26 31 35 42 49 52
1 2 3 4 5 6 7 8 9 10 12 13 14 14 16 27 39 44 42 36 35 37 39 39 39 38 39 43 48 50 47 41 39 40 39 36 33 28 27 25 23 20 19 22 23 23 22 21 20 19 19 18 19 18 17 15 14 14 17 19 17 16 16 15 15 15 16 16 16 15 14 14 12 11 11 10 11 13 14 14 14 15 14 13 12 10 7 4 1 0 0 0 0 0 0 0 1 1 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 1 1 1 2 2 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 5 6 6 8 9 10 12 14 16 18 24 31 37 45 53 57
2 3 4 6 7 8 8 10 12 12 14 15 15 14 23 35 45 45 46 52 55 52 43 43 42 44 49 55 56 52 46 40 40 38 34 29 26 24 25 26 28 29 34 32 30 28 26 22 21 21 22 20 19 18 17 17 20 26 33 37 32 30 25 24 28 28 28 25 22 19 17 16 14 12 10 9 10 12 12 13 12 12 12 12 11 9 6 4 2 0 0 0 0 0 0 0 0 1 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 1 1 1 2 3 3 3 3 4 4 3 3 2 2 3 3 3 3 3 4 5 5 6 6 8 10 11 13 14 17 23 31 38 46 53 60
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