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 8 8 7 7 7 7 7 7 8 8 9 8 8 8 8 9 10 10 11 11 11 12 12 11 10 9 9 10 10 10 10 10 10 11 14 18 21 24 26 27 27 28 28 28 29 29 29 28 27 26 25 24 24 23 23 22 22 22 22 21 20 20 19 18 17 16 16 15 14 13 13 13 12 12 11 10 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 nan
nan 11 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 10 12 13 13 11 9 9 9 9 9 10 9 9 10 12 14 18 22 24 26 27 27 27 28 28 29 30 29 29 29 28 28 27 26 25 24 24 23 23 22 21 20 20 19 18 17 16 15 14 13 13 12 12 10 9 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 nan
nan 13 13 13 12 10 9 9 10 11 11 10 10 9 8 8 8 8 8 7 7 10 12 14 13 10 8 8 9 9 10 10 10 10 10 10 12 16 19 22 24 24 24 24 25 26 27 28 28 28 29 29 29 29 28 27 26 25 24 24 23 22 21 20 19 18 17 16 15 13 13 12 12 10 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 nan
nan 11 13 13 13 12 11 11 11 12 12 12 11 10 9 9 9 8 7 7 8 10 12 13 12 10 8 8 9 9 10 10 10 11 11 11 11 14 17 20 21 21 21 21 22 23 24 24 25 25 26 27 28 28 27 27 26 25 24 24 24 22 21 20 19 18 17 15 14 13 12 11 10 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 9 11 12 13 13 12 12 12 12 12 12 12 12 11 11 9 8 8 8 9 10 10 11 10 9 8 8 8 8 9 10 11 11 12 12 12 13 15 17 18 18 18 19 20 20 21 21 21 22 23 24 25 25 25 24 24 23 23 22 22 22 20 19 18 17 16 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 7 9 11 12 13 13 12 11 10 10 11 12 12 12 11 9 9 9 10 11 10 9 9 9 9 8 8 8 8 9 10 10 11 12 12 13 13 14 14 14 15 16 17 18 19 19 19 19 19 20 20 21 21 20 20 20 19 19 19 19 19 18 17 16 15 14 13 12 11 10 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 nan
nan 8 8 10 11 12 12 11 10 9 9 10 10 10 10 9 8 9 10 12 12 11 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 9 8 8 10 11 13 15 16 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 15 15 15 15 14 13 12 12 10 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 nan
nan 9 9 10 11 10 9 8 8 9 10 10 10 9 8 8 7 8 10 11 12 12 11 10 10 9 8 9 9 9 9 9 10 10 10 9 7 4 2 1 1 2 4 6 8 10 12 13 13 14 15 15 15 14 14 14 14 14 14 13 13 13 13 14 15 15 14 12 10 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 10 11 10 9 7 6 7 8 10 10 9 8 7 7 7 8 9 10 11 11 12 12 11 10 9 9 9 8 9 9 10 9 8 6 4 1 -1 -2 -2 -2 -1 -1 -0 0 3 5 7 9 12 14 13 13 13 13 13 12 12 11 11 11 12 13 14 13 12 12 10 9 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 nan
nan 11 11 11 10 8 6 5 6 8 10 10 9 8 7 7 8 8 8 9 10 10 11 12 12 11 10 9 8 8 9 10 10 9 7 5 4 3 3 3 3 3 3 2 1 -1 -1 -0 1 4 7 8 9 10 11 12 11 11 10 9 9 9 10 11 11 11 11 11 10 10 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 nan
nan 11 12 12 11 8 6 5 6 8 10 10 9 8 8 8 8 8 8 9 9 10 11 11 11 11 10 8 7 8 9 9 9 8 7 6 6 6 7 8 8 9 10 11 11 10 8 6 5 5 5 3 3 5 8 10 10 9 8 7 8 8 8 8 8 10 12 11 10 10 10 9 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 nan
nan 12 11 11 11 9 8 7 7 9 10 11 10 9 9 9 8 8 8 9 9 10 10 10 10 10 9 8 8 8 9 8 8 7 6 7 7 7 7 7 7 8 11 15 19 19 18 16 14 11 9 7 5 5 7 8 8 8 7 7 8 8 8 8 8 9 11 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 8 8 8 7 nan
nan 12 11 10 10 9 8 8 8 9 11 12 12 11 10 9 8 8 8 9 9 9 10 9 9 10 9 9 9 9 8 8 8 7 7 7 7 7 6 5 4 4 6 9 13 15 15 13 12 11 10 11 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 8 7 nan
nan 12 11 10 9 8 8 8 8 9 11 12 12 11 10 9 8 8 9 9 9 9 9 8 9 9 10 10 10 10 9 9 9 9 9 8 7 6 5 5 4 3 3 2 2 3 3 2 1 1 1 2 2 1 1 2 3 5 6 7 8 7 7 6 5 4 4 6 9 11 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 11 10 10 9 8 8 nan
nan 13 11 10 8 7 7 7 7 8 10 12 12 11 9 8 8 8 9 9 9 9 9 8 9 9 10 11 11 10 10 9 10 10 10 9 8 7 7 7 6 6 4 2 -1 -2 -2 -2 -3 -4 -4 -5 -5 -6 -5 -4 -3 -3 -1 2 3 3 3 3 2 0 1 4 8 11 12 12 11 11 11 11 10 11 11 10 10 10 10 9 9 10 10 10 10 9 9 8 8 8 9 10 11 11 11 11 11 12 12 12 12 12 12 11 10 10 9 9 nan
nan 14 12 11 9 7 7 7 8 9 11 11 11 10 9 9 8 8 9 9 10 10 9 9 8 9 10 10 10 9 8 8 8 9 10 10 9 8 8 8 8 8 6 5 3 2 2 2 2 2 1 -0 -1 -2 -3 -4 -5 -5 -5 -4 -3 -3 -2 -1 1 3 3 5 7 9 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 7 7 8 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 nan
nan 15 13 11 9 7 7 7 8 10 11 11 10 9 9 9 9 9 9 10 11 10 10 9 8 8 9 9 9 8 7 6 7 7 9 10 10 9 8 8 8 8 8 7 7 7 7 8 8 8 8 7 6 5 4 3 1 -0 -2 -3 -4 -4 -4 -1 3 6 6 5 4 5 6 7 9 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 7 8 10 11 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 10 nan
nan 16 14 12 10 9 8 8 9 10 10 10 9 8 8 8 9 10 10 11 11 10 10 9 7 8 8 9 9 8 7 6 6 6 8 10 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 9 9 8 8 7 7 6 4 3 2 1 1 2 4 5 5 4 3 3 4 5 8 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 8 8 7 7 8 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 nan
nan 17 16 14 12 11 10 10 11 11 11 10 8 7 7 8 9 10 10 10 10 10 9 8 7 8 9 9 10 9 8 7 6 7 9 10 10 10 10 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 6 6 5 6 7 9 10 11 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 6 7 8 9 9 9 9 10 10 10 11 11 11 11 12 12 11 11 10 10 9 nan
nan 19 18 18 15 12 11 11 12 13 13 11 9 8 8 10 10 10 9 9 9 9 8 8 8 8 9 10 10 9 8 8 7 8 10 11 12 12 11 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 9 12 15 18 20 18 15 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 9 nan
nan 19 19 17 15 12 9 10 12 13 14 12 11 11 12 13 12 10 9 8 8 8 8 8 8 9 9 10 9 9 8 7 7 9 10 11 13 14 11 9 8 7 8 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 13 16 17 18 17 16 13 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 nan
nan 17 17 15 11 8 7 8 10 12 12 12 12 14 16 16 13 11 9 8 8 8 8 8 8 9 10 11 10 9 8 6 7 8 8 10 12 12 10 9 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 12 14 16 16 16 14 12 11 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 16 15 12 9 6 6 8 10 11 10 11 12 15 17 18 15 12 9 8 8 8 9 9 9 11 12 12 11 10 7 6 6 6 6 7 9 9 10 10 9 8 9 9 8 8 9 9 9 10 10 10 9 8 7 8 8 9 9 11 12 13 14 16 17 19 18 16 14 12 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 14 13 10 7 6 7 9 10 10 9 10 11 14 16 17 16 13 10 9 8 9 8 8 9 11 12 11 10 7 6 6 6 5 5 5 6 8 11 12 11 10 9 8 7 8 8 9 9 11 11 10 10 8 7 7 7 8 10 12 13 15 16 19 21 20 17 14 12 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 nan
nan 13 11 9 9 9 10 10 10 9 9 9 10 11 15 17 17 15 13 10 8 7 7 7 9 9 9 8 6 4 4 5 6 6 5 6 7 9 13 13 12 11 9 7 7 7 7 7 9 10 10 10 10 9 7 7 7 8 11 12 14 15 16 16 16 14 12 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 nan
nan 13 12 12 13 13 13 12 10 9 9 9 10 11 15 18 19 18 14 10 7 6 7 8 8 8 7 6 5 4 4 5 7 7 7 7 7 10 13 13 12 10 8 7 7 6 6 6 8 8 9 10 9 9 8 8 7 9 10 11 13 14 12 10 8 7 7 8 9 10 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 nan
nan 14 14 16 16 15 14 12 10 10 10 11 12 14 17 20 21 19 14 9 7 8 9 9 8 8 8 8 7 7 7 8 9 9 8 7 8 10 11 12 12 10 8 7 7 7 6 7 7 8 9 9 9 9 9 8 9 10 10 11 12 11 10 9 8 8 10 10 10 10 9 10 11 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 nan
nan 14 16 17 16 15 13 12 11 12 13 14 15 17 18 19 20 18 14 11 11 12 11 10 8 8 9 10 10 10 11 11 11 10 9 9 9 10 11 12 12 11 10 9 8 7 7 7 7 8 9 9 9 8 8 8 9 10 10 11 12 11 11 11 12 14 15 15 13 11 11 12 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 14 16 16 15 14 14 14 14 15 16 16 16 17 18 18 18 17 15 15 15 14 12 11 10 10 11 11 12 12 12 10 10 9 10 10 11 11 12 13 13 12 11 10 8 7 7 7 8 9 9 9 9 8 8 8 9 10 11 13 13 12 12 12 13 15 17 18 16 14 14 15 15 14 14 13 13 13 12 11 11 11 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 14 15 16 15 15 16 17 18 20 20 19 18 17 16 16 17 16 17 19 18 16 14 14 14 13 11 10 10 9 8 7 7 7 8 10 11 12 12 12 12 12 12 10 8 8 8 8 9 10 9 9 9 8 8 8 9 10 12 13 13 13 12 12 12 12 14 17 18 18 17 17 16 15 15 14 13 12 12 12 12 11 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 14 15 15 15 16 17 20 23 24 24 23 22 20 17 17 17 17 18 19 18 18 16 15 14 11 9 7 6 5 5 5 5 5 6 7 8 9 10 11 12 12 12 10 9 9 9 8 9 9 9 9 9 8 8 8 9 10 11 11 12 12 13 12 10 9 10 14 17 19 20 18 17 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 nan
nan 12 13 12 13 14 18 22 25 28 29 30 30 27 22 20 18 18 19 18 16 15 14 12 10 7 5 4 4 4 5 5 5 5 5 5 6 7 9 10 12 14 14 12 10 9 8 8 9 8 9 9 8 8 8 8 9 10 10 11 11 12 12 12 10 8 7 10 14 19 21 20 19 17 16 14 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 12 10 9 9 11 15 20 24 26 30 34 37 35 31 27 23 20 19 16 13 11 9 8 6 4 3 3 4 5 6 6 6 6 5 5 5 6 8 11 13 15 15 14 11 10 8 8 8 7 8 8 8 9 9 8 9 9 9 10 10 11 11 11 11 9 6 6 9 15 19 20 20 18 16 15 14 14 13 13 12 12 12 12 12 11 11 11 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 nan
nan 12 9 8 8 9 11 14 17 19 23 29 35 37 37 35 31 27 21 16 12 10 8 7 7 6 6 6 6 6 7 6 6 6 5 5 6 7 9 11 13 15 16 14 12 10 9 8 7 7 8 8 9 9 8 8 8 8 9 9 9 10 10 11 11 9 5 2 4 9 14 18 19 17 16 15 15 14 14 13 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 4 3 2 1 2 nan
nan 11 10 9 9 9 10 11 11 13 15 20 25 31 35 39 38 35 27 19 13 10 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 7 9 10 13 14 15 14 12 10 9 8 8 9 9 10 9 8 8 8 8 8 9 9 9 9 9 10 10 9 6 2 -1 1 5 12 14 14 14 14 14 14 14 14 14 13 12 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 4 2 1 -1 -3 -4 -3 nan
nan 9 9 9 9 8 9 9 10 10 11 14 18 23 29 36 39 37 31 23 15 10 9 10 10 11 10 10 9 9 8 7 7 7 6 6 7 8 8 10 11 13 14 13 12 11 9 9 10 11 11 10 9 7 7 7 7 8 9 9 9 9 9 10 10 9 7 4 -1 -4 -3 -0 3 5 6 8 11 12 13 14 14 13 12 11 11 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 4 2 -0 -2 -3 -3 -3 -1 nan
nan 6 6 7 7 7 7 8 8 7 7 10 14 19 25 31 36 36 32 25 18 13 10 10 11 12 12 12 11 9 8 8 8 8 8 8 8 7 7 8 10 11 12 13 13 12 11 10 11 11 10 9 7 6 6 6 6 7 7 8 8 9 9 10 10 10 9 6 2 -4 -7 -9 -9 -8 -5 -1 2 6 9 12 13 13 13 11 10 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 6 4 2 0 -1 -0 2 4 5 nan
nan 2 4 5 6 6 6 7 6 3 2 4 10 16 22 27 31 32 30 25 20 15 13 12 14 14 14 13 11 9 9 9 9 8 9 8 8 7 6 7 8 9 11 14 14 13 12 11 11 10 9 7 5 5 5 5 4 4 4 6 7 8 9 10 10 11 10 9 6 1 -4 -8 -10 -11 -10 -9 -7 -6 -0 6 9 11 12 11 10 10 10 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 6 5 4 4 5 7 9 9 nan
nan 2 4 5 7 7 6 7 5 1 -3 -2 3 10 16 22 24 25 24 22 20 19 17 16 16 15 15 13 10 10 9 9 8 8 7 7 6 5 5 5 5 7 11 14 14 14 12 10 10 9 7 6 5 4 4 3 3 2 2 4 6 7 8 10 11 11 11 11 10 7 4 2 0 -2 -5 -7 -9 -9 -8 -3 1 6 8 9 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 nan
nan 6 6 7 9 9 8 8 6 1 -3 -4 -2 4 11 15 17 17 17 18 20 21 21 20 18 17 15 12 11 10 9 8 7 6 6 6 4 4 4 4 4 7 12 14 15 15 12 11 10 8 7 6 5 5 5 5 4 3 3 4 5 6 7 9 10 10 10 11 10 9 8 8 8 6 3 1 -1 -3 -6 -7 -5 -2 2 4 6 6 5 5 5 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 14 15 14 12 11 10 10 10 nan
nan 9 9 9 9 10 10 9 8 4 0 -1 -1 4 9 13 14 14 14 16 18 20 21 21 21 19 16 13 11 9 8 6 6 6 6 6 5 5 5 5 6 9 12 14 17 16 13 11 9 8 7 7 7 7 8 9 8 7 7 6 5 6 7 8 9 9 10 9 9 9 9 10 9 9 8 7 6 3 -0 -5 -7 -7 -5 -4 -3 -2 -2 -2 0 3 5 6 7 7 7 7 7 7 8 8 9 10 11 14 16 18 17 15 12 10 10 10 nan
nan 10 10 9 9 9 9 10 8 6 4 2 3 6 10 12 12 12 13 15 17 17 18 21 23 23 19 15 12 10 8 7 7 7 7 7 8 8 8 7 9 11 12 15 18 16 13 11 8 8 8 8 9 10 11 12 12 11 9 8 7 7 8 8 8 8 9 8 8 9 9 9 9 9 9 9 8 7 4 -1 -5 -7 -8 -8 -9 -8 -7 -6 -4 -2 1 3 4 5 6 7 7 7 7 8 9 9 10 13 16 18 20 18 15 12 10 10 nan
nan 10 10 8 8 8 9 9 8 7 5 5 6 7 8 9 9 10 12 14 15 16 17 21 24 24 23 20 16 13 11 10 10 10 9 10 10 10 9 9 10 11 13 16 17 15 13 10 9 9 10 10 11 12 12 13 13 12 10 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 7 4 1 -2 -3 -3 -3 -3 -3 -4 -5 -6 -6 -4 -2 -0 1 4 6 6 7 8 8 8 9 11 13 17 20 20 18 15 12 10 nan
nan 10 10 9 8 7 9 9 9 8 6 6 7 7 7 7 7 7 9 12 13 13 15 18 21 23 24 23 20 17 15 14 13 12 11 11 10 9 8 10 11 12 15 16 16 15 13 11 11 11 11 11 10 11 11 11 11 11 11 10 10 9 8 7 7 7 7 7 7 8 8 9 9 10 10 9 9 8 8 7 6 5 5 5 5 5 3 1 -2 -5 -6 -6 -5 -5 -4 -1 2 4 6 7 7 7 8 9 10 13 17 19 20 17 14 11 nan
nan 10 10 9 8 8 9 9 9 9 8 8 8 8 8 7 6 7 8 10 11 11 12 14 16 19 22 22 20 18 17 16 15 14 13 12 10 9 9 10 11 14 17 17 17 17 14 12 12 12 11 10 9 9 9 10 10 10 10 10 10 9 8 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 8 8 9 9 9 8 7 5 4 3 1 0 -1 -3 -4 -4 -2 -0 2 5 6 7 7 7 8 10 13 16 19 18 16 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 7 8 9 10 11 12 12 13 16 18 19 18 17 17 17 17 17 17 16 13 11 10 10 12 15 17 18 20 19 16 14 12 10 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 8 8 9 9 10 10 10 9 8 8 8 8 7 6 4 2 -0 -1 -1 1 3 5 6 7 7 7 8 9 12 15 16 16 15 nan
nan 9 9 9 9 9 9 8 8 9 9 9 8 8 7 6 6 7 8 10 11 11 12 12 14 16 17 17 17 17 18 19 19 20 20 18 16 14 13 12 13 15 17 18 20 20 18 15 12 10 9 9 9 10 10 9 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 9 9 9 9 9 8 7 6 4 3 3 4 5 5 6 6 6 7 7 9 11 12 13 13 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 7 6 5 5 6 8 9 10 9 10 12 14 16 17 17 16 16 16 18 18 19 18 17 16 16 15 15 16 16 17 18 19 18 16 15 12 11 11 10 11 11 11 11 12 11 11 11 10 9 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 9 9 8 7 6 5 4 4 4 5 5 6 6 7 8 9 10 10 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 7 6 4 3 5 7 9 9 7 7 9 11 13 15 14 14 13 13 14 14 15 15 15 15 15 15 15 16 17 17 18 17 16 15 14 13 12 12 11 12 13 13 13 13 12 11 11 10 9 8 8 9 9 10 10 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 9 8 6 5 4 4 4 4 4 5 6 7 7 8 8 9 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 7 5 4 5 6 8 7 6 6 7 8 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 15 16 17 17 17 17 17 15 14 13 12 11 12 13 13 14 14 13 11 10 9 8 8 9 10 10 11 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 7 8 8 8 9 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 5 5 5 6 7 7 8 8 8 8 9 9 9 9 10 11 10 10 11 11 13 14 16 17 18 18 17 15 13 11 11 11 12 13 15 14 13 11 10 9 9 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 10 10 9 9 9 9 10 9 9 8 8 8 7 8 8 9 10 10 nan
nan 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 6 5 5 4 4 5 5 5 6 7 7 7 7 7 8 9 9 10 11 10 10 10 11 12 14 16 18 18 18 17 15 13 13 12 12 13 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 nan
nan 13 13 13 13 13 13 13 12 11 10 10 10 11 11 11 12 12 10 8 7 6 5 4 4 3 3 4 5 5 5 4 4 5 6 8 10 11 12 11 10 11 11 13 15 16 17 18 18 17 17 16 15 14 13 13 13 13 14 14 14 14 14 14 13 13 12 12 12 12 12 12 11 10 9 8 8 9 10 10 11 10 10 10 10 10 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 nan
nan 12 13 13 14 14 14 14 13 12 12 12 13 14 14 13 13 13 12 10 9 8 7 6 5 3 3 4 4 4 4 3 3 3 4 5 7 10 11 12 12 12 12 12 13 14 15 16 17 17 17 17 17 16 15 15 14 14 14 15 15 16 15 15 14 13 13 12 12 12 12 11 10 9 9 8 9 9 10 11 11 10 10 10 10 9 8 8 8 8 9 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 nan
nan 11 12 12 13 13 14 13 13 13 13 14 15 16 15 14 13 13 13 12 12 11 10 9 8 6 5 5 6 6 6 5 5 4 4 4 4 6 8 10 12 13 13 12 12 13 14 14 15 15 15 15 16 17 17 17 16 15 14 14 15 15 14 14 13 13 12 12 11 11 10 10 9 9 9 9 10 11 11 11 10 10 10 9 9 9 8 8 8 9 9 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 10 11 11 11 12 12 12 12 13 14 15 16 16 15 14 14 14 14 14 14 14 13 12 11 10 9 9 9 9 9 9 9 8 6 5 5 4 5 7 10 12 13 13 13 13 14 14 14 14 14 14 15 16 17 16 15 14 14 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 10 9 9 10 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 nan
nan 10 10 10 11 11 11 10 11 12 13 14 15 15 14 14 14 14 15 16 16 16 16 15 14 13 13 12 11 11 11 10 10 10 9 8 7 6 5 6 7 9 11 12 13 14 14 14 14 14 14 13 13 14 14 14 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 11 12 12 13 13 14 14 14 14 15 16 16 17 17 16 16 15 15 14 14 13 12 11 11 10 10 10 9 8 6 5 5 6 8 9 11 12 14 14 15 15 14 14 13 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 14 14 15 15 15 15 15 15 15 15 14 13 12 11 11 11 11 10 9 7 5 4 4 5 6 7 9 11 13 13 14 15 14 14 13 12 12 12 11 11 12 12 12 12 12 11 11 11 12 12 10 9 9 9 10 10 9 9 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 14 14 14 14 14 13 12 11 11 10 10 9 8 7 6 5 5 5 5 6 8 9 10 12 14 15 15 15 14 13 12 11 11 12 12 12 12 11 11 11 12 12 11 9 8 8 9 10 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 11 11 10 10 10 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 10 9 9 9 9 8 8 8 7 7 6 6 6 7 7 9 11 13 14 15 15 14 12 11 11 11 11 11 10 10 10 11 12 12 10 9 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 8 8 8 8 7 7 8 9 11 13 14 13 13 13 12 12 11 10 9 11 12 13 13 10 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 9 8 7 6 6 7 9 10 11 11 12 12 11 10 10 12 14 15 16 14 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 8 7 6 6 7 7 7 8 8 8 8 8 9 11 13 16 18 16 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 9 9 8 7 7 6 5 5 5 5 4 5 5 6 7 11 15 15 14 13 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 nan
nan 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 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 12 11 10 9 8 7 6 5 5 5 4 3 2 2 2 3 6 9 10 13 15 14 13 13 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 9 10 10 10 10 11 11 11 12 12 12 12 12 13 12 12 12 11 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
CAPE
66 76 116 179 252 314 338 297 288 291 286 257 215 174 147 139 144 157 182 208 238 270 298 326 373 417 422 362 257 202 158 123 94 58 29 29 51 81 104 118 131 141 148 155 164 177 190 213 225 190 122 104 150 239 325 363 380 409 470 556 605 473 461 410 310 300 302 276 251 221 186 151 127 108 90 73 55 38 28 24 23 23 24 19 17 20 24 24 19 22 26 25 23 22 20 16 10 5 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0
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