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 7 7 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 9 10 10 10 10 10 10 10 10 11 9 7 6 6 7 9 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 13 12 11 10 9 10 11 12 14 16 16 16 16 14 13 12 11 10 9 8 8 8 8 9 10 10 9 7 5 1 -3 -5 -3 1 12 28 38 39 38 32 22 15 12 8 6 7 9 10 12 14 14 nan
nan 8 9 10 10 9 8 8 9 9 9 10 10 9 9 8 8 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 6 8 9 9 9 9 10 11 11 11 12 11 11 11 11 11 11 12 12 12 13 13 14 14 13 13 11 10 9 9 9 11 13 15 16 16 16 15 14 13 12 11 10 9 9 9 9 9 10 10 10 9 6 3 -1 -4 -5 -2 9 22 31 37 40 33 25 20 15 9 7 7 7 8 10 12 13 nan
nan 9 10 10 9 8 8 8 8 8 9 9 10 10 9 8 9 10 11 13 13 11 10 9 9 10 10 10 10 9 10 10 10 9 8 5 4 5 7 7 8 9 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 13 13 14 13 12 11 10 9 9 10 12 14 15 16 16 15 14 13 13 12 11 10 10 9 9 9 9 10 10 9 7 4 2 -1 -4 -3 4 14 24 35 39 35 30 24 16 11 8 7 7 8 9 10 12 nan
nan 9 9 9 7 8 9 9 9 8 9 9 10 10 9 8 9 10 13 14 13 10 8 8 9 10 10 10 9 9 10 11 10 9 7 5 3 3 4 5 8 10 11 12 12 12 12 11 10 10 9 10 10 10 11 10 10 10 10 11 12 13 13 12 11 10 9 8 9 10 12 14 16 16 15 14 13 13 12 11 11 10 9 9 9 9 9 10 9 8 7 4 0 -3 -3 0 7 20 33 36 35 33 25 17 13 10 8 8 8 8 9 10 nan
nan 9 9 8 8 9 11 11 10 9 9 9 10 11 9 8 9 11 14 13 10 7 6 7 9 10 10 10 10 11 12 11 10 8 6 4 2 0 0 4 9 11 13 14 14 13 12 11 10 9 9 9 10 10 11 11 10 9 10 10 11 12 13 12 12 10 9 9 9 10 11 14 15 16 16 15 14 13 12 12 11 9 8 8 8 9 9 10 10 9 8 6 2 -1 -2 -2 4 16 26 31 35 33 25 20 16 12 9 8 8 8 8 9 nan
nan 9 9 8 9 10 11 12 11 10 9 10 11 10 9 9 10 12 12 10 7 6 6 9 11 11 11 11 11 12 11 10 9 8 5 2 -1 -2 1 7 11 13 14 15 14 13 12 11 10 9 9 9 9 10 10 11 10 10 10 10 11 12 12 13 12 10 9 9 8 9 11 13 15 16 17 17 15 14 13 12 10 9 8 9 9 9 10 10 10 10 8 6 4 2 -1 -2 3 11 19 27 34 33 28 23 17 12 10 9 9 9 9 9 nan
nan 9 9 8 9 10 11 11 10 10 9 10 10 9 9 9 10 11 10 8 7 7 9 11 12 12 12 11 11 11 10 10 9 7 4 1 -0 1 7 11 14 16 16 15 14 13 12 11 10 10 9 9 9 9 10 11 11 11 11 11 12 12 13 13 12 11 9 8 8 9 11 13 15 17 18 17 17 15 14 11 9 9 8 9 9 10 10 10 9 9 8 7 6 3 0 -1 1 6 14 26 32 32 30 26 18 14 12 11 10 9 9 8 nan
nan 9 8 8 8 10 10 10 9 9 9 9 8 8 8 9 10 10 9 9 10 11 12 12 12 12 11 10 10 10 10 11 10 8 6 5 6 10 14 16 18 19 18 16 15 13 12 12 11 10 9 8 8 9 10 11 12 12 12 12 12 12 13 14 13 12 10 9 8 9 10 12 14 17 18 18 17 16 13 11 10 9 8 9 9 9 9 8 8 8 8 8 7 5 2 0 1 4 13 23 27 30 30 26 20 17 14 12 11 10 10 9 nan
nan 8 7 8 9 9 9 9 9 9 10 9 8 7 8 9 9 9 10 11 13 14 13 13 12 12 10 9 9 10 11 11 10 9 8 9 11 14 16 17 18 17 16 15 14 14 14 14 13 11 9 8 9 10 11 12 12 12 12 11 11 12 13 14 14 14 12 9 8 8 9 11 15 17 18 19 18 16 13 12 10 9 8 8 8 8 8 8 7 7 8 8 7 5 3 1 1 4 11 17 23 28 30 26 23 20 15 13 12 12 11 10 nan
nan 7 7 8 9 10 9 9 9 10 10 10 8 7 8 8 8 9 10 11 12 12 12 11 11 11 10 10 10 10 9 9 8 8 9 10 11 13 13 13 12 11 10 11 11 12 13 13 12 9 7 8 11 13 14 13 12 11 10 10 10 11 13 15 15 15 13 11 9 8 9 11 15 17 19 20 18 16 14 13 11 10 9 9 8 8 8 8 7 7 7 7 6 5 3 2 2 4 8 14 21 27 28 26 24 21 17 15 14 13 12 12 nan
nan 8 8 9 10 10 9 9 9 11 11 10 9 8 8 8 9 9 9 10 10 10 9 9 10 10 10 10 9 9 8 7 7 8 9 10 11 11 10 8 7 6 6 6 6 6 7 7 5 2 5 11 16 17 14 12 11 10 10 10 10 12 13 15 16 16 15 13 11 9 9 12 14 17 20 20 19 17 16 13 12 11 10 10 9 9 8 8 8 7 7 6 5 5 3 2 2 4 7 13 20 24 25 25 24 21 18 17 15 15 14 14 nan
nan 8 8 9 10 9 9 9 10 11 12 11 10 8 8 8 9 9 9 10 10 9 9 8 9 9 9 9 9 8 8 8 8 9 10 11 12 12 10 9 8 8 7 5 3 3 3 2 -0 1 7 13 17 15 11 10 11 11 11 12 12 12 13 15 17 17 16 15 12 11 11 12 14 18 21 21 20 18 16 14 12 12 11 11 10 10 9 8 7 7 6 6 5 4 3 2 3 4 7 13 18 21 23 24 23 20 19 17 16 16 16 16 nan
nan 8 8 9 9 9 9 10 11 12 11 10 9 7 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 9 10 10 11 12 12 12 12 12 11 10 8 7 7 7 6 6 9 14 18 17 12 11 12 13 13 13 13 14 14 14 15 16 17 18 18 16 14 13 13 15 19 21 21 20 18 15 13 12 12 11 11 10 10 9 8 7 7 6 6 4 3 3 3 4 5 8 13 16 19 22 23 21 20 18 16 15 15 16 16 nan
nan 9 9 9 9 9 10 11 11 11 10 8 7 6 7 7 8 8 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 11 12 12 12 12 12 12 11 11 12 13 14 15 17 20 23 23 21 18 18 18 18 17 17 16 16 15 15 16 17 19 22 22 20 18 16 15 17 19 20 21 20 18 16 14 13 12 11 11 11 10 9 8 8 7 7 5 4 3 3 4 5 7 10 13 16 19 21 21 20 19 17 15 14 14 14 14 nan
nan 10 10 9 9 10 10 11 10 10 9 7 5 5 6 6 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 9 10 11 12 13 12 11 11 10 9 9 10 12 14 16 18 20 22 24 23 22 22 22 22 22 22 21 20 18 18 18 19 20 22 24 23 21 18 16 17 18 19 21 22 21 19 17 15 13 12 12 12 11 10 9 8 8 7 6 5 3 3 4 5 7 9 11 13 16 18 19 19 19 18 17 15 14 13 12 12 nan
nan 10 10 9 9 10 10 9 9 9 8 6 6 6 6 7 9 9 9 9 8 8 9 10 10 10 8 8 8 8 9 9 11 12 13 14 14 12 11 9 8 7 8 9 10 12 13 14 15 16 16 16 16 17 18 19 20 21 21 20 20 21 22 22 21 20 19 17 17 17 18 19 20 21 22 23 22 21 18 16 14 13 12 12 11 9 8 7 7 7 6 5 4 4 5 7 9 10 12 14 17 18 18 18 18 17 16 16 14 13 12 11 nan
nan 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 10 9 9 9 10 10 11 10 9 8 8 8 9 10 12 14 15 16 14 12 10 9 7 7 8 8 9 10 10 11 11 11 11 11 12 12 13 14 15 15 16 17 19 21 22 22 20 18 16 15 17 20 22 23 24 24 24 24 23 21 19 16 14 13 12 11 10 8 7 6 7 7 6 5 5 5 6 8 10 11 13 15 17 18 18 18 17 16 16 16 15 14 13 11 nan
nan 8 8 9 9 9 9 10 11 10 9 8 7 8 9 10 11 10 9 9 9 9 10 11 10 9 8 8 7 8 9 10 11 13 15 15 14 13 11 9 7 7 7 7 8 9 9 10 10 10 10 11 11 11 11 11 11 11 12 13 15 16 17 17 16 16 16 16 17 19 20 21 22 23 24 24 23 21 19 16 14 12 11 10 9 7 6 6 7 8 8 6 5 5 7 8 10 12 13 15 17 18 18 17 16 16 16 15 15 15 14 12 nan
nan 9 8 8 8 9 10 11 12 11 10 8 7 8 9 10 10 9 8 8 9 10 10 10 9 8 7 7 7 8 9 9 10 12 14 15 14 13 10 8 7 6 6 7 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 13 13 12 10 8 8 9 12 16 20 22 22 21 18 16 14 12 10 9 8 7 7 7 8 9 9 7 6 6 7 8 10 12 14 16 17 18 18 17 16 15 15 15 15 15 14 13 nan
nan 8 7 6 6 6 9 11 12 11 10 9 8 9 10 10 8 7 7 8 9 9 9 8 8 7 7 8 8 9 9 9 10 13 14 14 14 12 9 7 6 6 6 8 9 9 10 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 8 5 1 -1 -1 1 6 11 16 19 21 20 19 17 15 13 11 10 9 9 8 8 8 8 8 7 5 5 7 8 10 12 14 16 18 19 18 17 16 15 15 14 14 14 14 13 nan
nan 7 5 4 4 6 9 11 11 10 10 10 10 10 10 9 7 6 7 8 9 9 9 8 8 8 8 8 8 8 8 9 10 11 12 12 11 9 7 6 6 6 7 8 8 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 4 -0 -3 -3 -0 3 7 11 15 18 20 20 19 18 16 14 13 12 11 11 10 9 8 7 5 4 4 4 6 9 11 13 14 17 18 19 19 18 16 15 14 14 13 13 13 13 nan
nan 5 6 6 8 10 11 10 9 9 9 10 10 10 9 7 5 5 6 7 8 8 8 8 7 7 7 6 6 6 7 8 9 9 9 9 8 7 6 6 6 6 7 8 8 9 11 11 12 12 11 11 11 11 11 11 11 10 10 10 9 9 8 8 7 4 -0 -3 -4 -2 1 5 9 13 17 19 20 20 20 19 17 15 14 13 12 11 10 9 8 6 4 3 2 3 6 8 11 13 15 17 18 19 19 18 17 15 14 13 13 12 12 12 nan
nan 8 9 10 10 10 9 7 7 7 8 8 8 8 6 4 4 4 6 7 7 6 6 6 5 5 4 4 5 6 6 7 7 7 7 8 7 6 6 6 7 7 8 8 9 11 12 12 13 13 12 12 11 11 11 11 10 10 10 10 9 8 7 6 3 -1 -2 -3 -1 1 3 6 10 15 19 22 22 22 20 18 16 15 14 12 11 10 10 9 9 7 5 3 2 3 6 9 11 13 16 17 19 19 19 18 17 15 14 13 12 12 11 11 nan
nan 9 10 9 8 6 5 5 6 8 8 8 7 7 5 4 5 6 7 7 6 6 6 6 6 5 6 7 8 8 8 7 7 7 8 7 7 7 7 7 7 8 9 9 10 11 12 12 14 13 13 12 11 10 10 10 10 10 10 9 9 9 8 6 3 2 3 5 6 6 6 7 10 16 22 25 26 24 21 18 15 14 12 11 10 10 9 9 9 8 7 5 4 5 7 9 12 14 16 17 19 20 19 19 17 15 14 13 12 11 11 10 nan
nan 8 8 8 7 6 7 8 9 10 10 9 8 7 5 4 5 5 6 7 8 9 10 9 8 9 10 11 12 11 11 10 8 7 7 7 7 7 7 8 9 9 9 10 11 11 11 12 13 13 12 11 10 9 9 9 10 11 10 10 9 10 9 9 9 11 13 13 12 9 7 6 10 17 24 29 31 28 23 19 16 13 11 11 10 10 10 10 10 9 8 7 6 7 8 10 13 15 16 18 19 20 20 19 17 15 14 13 12 11 10 10 nan
nan 11 11 11 10 11 11 12 12 11 10 9 9 7 5 4 4 4 6 9 11 13 12 10 9 10 11 11 12 11 11 9 7 6 6 7 7 8 8 9 10 10 10 10 11 10 10 12 12 12 12 11 9 8 8 9 10 10 10 9 9 10 10 12 15 17 17 16 12 9 6 5 8 16 24 32 35 33 27 22 17 14 13 12 12 12 12 12 11 10 9 8 8 8 9 12 13 15 17 18 19 20 20 19 18 16 14 12 11 10 9 9 nan
nan 13 12 12 11 12 12 12 11 10 9 8 9 8 7 6 5 5 8 10 12 11 9 8 8 9 9 9 9 9 8 6 5 5 6 8 9 9 9 10 11 11 10 10 10 9 10 11 12 12 11 10 9 9 9 9 10 10 9 9 9 10 12 14 16 14 12 10 9 8 6 5 8 14 23 34 38 36 32 25 19 16 15 13 13 12 12 12 12 10 9 9 9 10 11 13 14 16 17 18 19 20 20 19 18 16 14 12 11 10 9 8 nan
nan 11 10 9 8 8 8 8 7 7 7 9 10 10 9 8 7 8 9 9 8 7 6 7 9 10 10 10 9 7 6 5 5 6 8 10 11 11 12 13 12 11 10 9 9 9 11 11 11 11 10 8 9 9 9 10 10 9 9 9 10 12 13 14 12 7 6 6 8 11 10 9 9 13 23 33 37 38 34 26 21 17 15 13 12 11 11 10 10 9 9 9 10 11 13 14 16 17 18 18 19 20 20 19 18 17 15 13 11 10 9 8 nan
nan 9 8 7 7 6 6 6 7 8 9 11 12 11 10 10 10 11 10 9 7 6 7 10 11 12 11 10 9 7 6 7 8 9 10 11 12 13 15 14 13 11 10 9 9 10 11 10 10 10 8 8 8 9 10 10 9 9 9 9 11 12 13 12 9 7 7 8 13 15 14 13 12 16 24 31 35 35 30 24 20 16 13 11 10 9 8 8 7 7 8 9 11 12 14 15 17 18 18 19 19 19 20 19 19 17 15 14 12 11 9 9 nan
nan 8 8 8 8 8 8 8 9 11 12 12 12 12 12 12 13 14 14 13 11 10 11 12 12 12 11 11 10 9 9 10 12 12 13 14 14 15 15 13 11 10 9 9 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 10 11 12 13 12 11 11 13 15 17 17 16 15 15 18 24 28 32 31 25 21 17 13 10 9 8 7 6 6 6 6 8 10 11 13 15 16 18 18 18 19 19 19 19 19 19 18 16 15 13 11 10 9 nan
nan 8 8 8 8 8 8 8 9 10 11 10 11 13 15 16 16 16 17 17 16 15 14 13 12 11 11 11 11 12 12 13 13 14 14 15 15 15 13 12 11 10 10 10 11 11 10 9 9 8 9 9 9 9 9 9 9 9 10 11 12 13 13 12 13 14 15 18 18 18 17 16 17 20 24 28 30 26 22 17 13 10 9 8 7 6 6 6 6 7 8 10 12 14 16 17 18 19 19 18 18 19 19 19 19 18 17 16 14 12 11 9 nan
nan 6 5 4 3 2 1 2 3 4 5 6 8 11 14 16 17 17 16 16 16 15 14 13 11 11 11 12 12 12 12 12 12 12 13 13 14 13 13 12 12 12 11 11 11 10 10 9 9 9 10 9 9 8 8 8 9 9 10 11 12 13 13 13 14 14 15 17 18 17 16 16 18 21 25 28 27 23 19 15 11 9 9 8 7 6 6 6 6 7 9 11 13 15 17 18 19 19 18 18 18 18 18 19 19 19 18 16 15 13 11 10 nan
nan 1 -1 -2 -2 -1 -0 0 0 0 -0 1 3 6 9 11 12 12 12 12 12 12 12 12 11 11 12 12 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 9 9 9 10 9 8 8 8 8 9 10 10 11 11 12 13 13 13 13 13 14 15 16 15 14 14 15 19 24 27 25 21 17 12 10 9 8 7 7 6 6 6 7 8 9 11 14 16 18 19 19 19 18 18 17 17 18 18 19 18 18 17 16 14 12 11 nan
nan 0 -0 1 3 5 6 7 6 5 4 3 4 5 6 6 5 6 9 11 12 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 8 7 8 8 9 10 11 11 12 12 13 14 14 13 12 12 12 13 12 11 11 10 11 16 21 23 22 20 15 11 10 9 7 7 7 7 6 6 7 9 11 13 15 18 19 20 20 19 18 18 17 17 17 18 18 18 18 17 15 14 13 12 nan
nan 7 8 9 11 11 12 12 11 11 10 10 9 8 7 6 6 9 12 13 13 12 11 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 9 9 10 11 12 11 10 9 8 7 7 8 10 11 12 12 12 13 14 15 15 14 13 12 11 11 10 8 8 7 7 10 15 19 21 22 21 16 13 10 8 7 7 7 7 6 7 8 10 13 15 17 19 20 20 20 19 18 17 17 17 17 17 17 17 17 15 12 10 10 11 nan
nan 13 14 14 14 14 13 13 13 14 14 13 12 11 11 11 13 16 17 16 13 11 10 10 10 11 11 11 12 11 11 10 10 10 9 9 9 9 9 9 10 11 12 13 13 13 12 11 10 9 8 8 9 11 12 13 13 13 14 15 16 15 14 12 11 10 10 8 7 6 5 7 13 18 21 24 25 23 20 16 11 8 7 7 7 7 7 8 9 12 15 17 18 20 21 21 20 20 19 17 17 17 17 16 16 15 12 9 7 6 7 10 nan
nan 16 16 16 16 16 16 17 18 18 17 15 14 14 14 15 17 18 17 14 11 10 9 8 9 11 11 12 12 11 11 11 10 10 10 10 10 10 10 12 13 14 14 14 13 14 13 12 10 9 8 9 10 11 12 12 13 14 15 16 16 15 13 12 11 10 9 8 8 8 8 11 17 21 24 26 27 26 25 20 15 11 9 8 7 7 8 9 11 14 16 18 19 21 21 21 21 20 19 18 17 17 16 16 13 10 6 4 3 4 7 11 nan
nan 19 19 20 21 23 23 24 24 22 18 15 14 15 15 16 17 17 16 14 12 11 10 10 10 11 12 12 11 11 11 11 11 10 10 10 10 11 13 14 15 15 14 12 13 14 14 12 10 9 8 8 10 11 11 12 12 14 15 15 14 13 12 12 11 10 9 9 9 9 10 14 18 21 21 23 25 28 29 25 20 16 12 10 9 9 9 10 12 15 17 19 20 21 21 21 21 20 19 18 17 17 17 15 10 4 1 1 4 7 9 11 nan
nan 19 20 23 26 28 27 26 24 20 15 13 13 14 15 16 18 20 20 18 17 15 13 13 12 12 11 11 11 11 11 11 10 10 10 10 11 12 13 14 14 13 10 10 11 12 12 11 9 8 7 8 10 10 10 11 11 13 14 14 12 11 11 11 10 9 9 8 9 9 11 13 15 15 16 17 20 25 27 25 22 18 15 12 11 11 11 12 14 16 18 21 21 21 21 21 21 20 19 18 17 17 17 15 7 -0 -1 1 5 9 10 11 nan
nan 15 18 21 23 22 19 18 17 14 12 12 13 15 17 20 24 24 23 20 18 16 15 13 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 7 5 6 7 8 9 9 8 7 8 9 9 9 9 9 11 12 12 12 11 11 10 10 8 8 8 8 9 10 11 11 12 12 12 13 16 19 20 20 20 18 17 16 15 14 14 16 17 19 21 22 22 22 21 21 21 20 19 17 17 18 18 15 6 -1 -2 2 7 10 11 11 nan
nan 12 14 15 15 12 11 10 11 11 12 13 15 18 21 24 25 23 19 16 15 13 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 5 2 1 2 2 5 7 8 8 8 9 9 9 8 8 9 10 11 11 11 11 10 9 8 7 6 7 8 10 11 11 11 11 11 11 12 14 15 15 16 17 17 18 19 19 19 20 21 22 24 25 25 24 23 22 21 20 19 18 17 17 18 18 13 5 -0 -1 3 8 10 11 11 nan
nan 11 12 11 10 10 10 10 11 12 13 15 16 18 20 21 20 17 14 12 11 10 10 10 9 9 9 10 10 10 10 10 9 9 9 8 8 7 6 5 4 1 0 0 2 5 8 9 9 9 9 8 8 8 8 9 10 11 11 11 10 10 8 6 6 6 7 9 10 11 11 11 11 11 11 11 12 13 13 14 15 16 17 19 21 22 22 23 25 27 28 27 26 24 23 21 20 18 17 17 17 17 16 11 5 0 -0 4 8 11 12 12 nan
nan 11 10 10 11 11 12 12 12 13 14 15 15 15 15 14 13 12 11 10 9 9 9 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 7 6 5 4 3 3 6 8 9 10 9 9 8 8 7 8 9 10 11 11 11 11 10 9 7 6 6 7 8 10 11 11 12 12 11 11 10 10 11 12 13 13 13 14 16 18 19 20 20 20 22 25 27 29 28 27 25 23 20 18 17 16 16 15 13 10 5 1 1 4 7 10 11 12 nan
nan 10 10 10 11 12 12 12 12 12 13 13 13 12 12 11 11 10 10 9 9 9 9 9 9 8 9 9 10 11 11 10 10 10 10 9 9 9 9 8 7 7 6 7 8 9 9 9 8 7 7 7 8 8 9 11 11 12 12 11 10 9 8 7 8 9 10 11 11 12 13 12 11 9 9 9 10 11 12 12 12 13 14 16 16 17 16 16 17 20 23 26 27 27 27 25 22 19 17 16 14 13 11 9 5 2 1 2 5 8 10 12 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 11 11 10 9 9 9 9 9 10 11 12 13 13 12 10 8 8 9 10 12 12 12 12 13 14 14 15 16 15 14 14 15 17 20 22 24 25 26 24 22 19 17 15 13 10 7 5 3 2 2 4 6 9 11 nan
nan 10 9 9 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 10 9 8 6 6 6 6 7 7 6 6 6 6 5 6 6 7 7 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 11 9 8 7 8 9 11 12 12 12 12 12 13 14 15 16 15 14 13 13 14 16 17 20 22 22 22 22 22 20 18 14 9 6 5 5 4 4 5 6 9 11 nan
nan 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 5 4 4 5 5 5 6 7 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 11 11 11 10 9 7 7 7 8 10 11 11 12 11 11 12 13 14 16 16 16 15 13 13 13 14 15 16 18 18 20 22 24 24 22 16 10 7 6 6 7 7 8 9 10 11 nan
nan 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 12 11 11 10 10 10 10 9 8 8 7 8 8 8 8 8 9 9 9 8 7 5 4 4 5 6 8 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 11 11 11 9 8 6 6 6 7 9 10 10 10 10 11 11 12 14 15 17 17 17 16 14 14 13 14 15 15 16 16 19 21 23 25 22 16 11 8 7 7 9 10 11 11 11 11 nan
nan 10 9 9 10 10 10 11 11 11 11 11 11 11 11 10 11 10 10 9 9 9 9 9 8 8 7 7 7 8 9 9 10 11 11 10 9 7 6 5 6 7 9 10 10 10 10 9 8 8 8 9 9 9 9 8 7 7 7 7 8 9 9 10 10 11 10 9 7 6 5 6 6 8 9 9 9 9 10 11 12 13 14 16 17 18 18 16 15 14 13 14 15 15 15 16 18 20 21 20 17 14 11 8 8 8 9 10 10 10 11 11 nan
nan 10 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 12 11 10 9 9 9 9 9 9 10 10 10 9 7 7 7 8 9 9 9 9 8 8 7 8 8 8 9 9 9 9 9 8 7 6 6 6 7 8 8 8 8 8 9 10 12 14 14 15 15 16 17 17 15 14 13 13 14 15 16 16 16 17 18 18 16 14 12 11 9 8 7 7 7 7 7 8 10 nan
nan 9 9 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 8 7 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 7 7 8 8 8 8 7 7 8 10 12 14 15 14 14 14 15 16 15 14 13 12 13 14 16 17 16 16 17 17 16 15 14 13 11 10 8 7 6 5 5 5 5 7 nan
nan 10 9 10 10 10 11 11 11 11 10 10 9 9 8 9 10 11 13 14 14 15 15 16 16 16 16 16 15 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 10 9 7 6 7 8 9 10 10 10 10 10 9 9 9 9 8 8 7 6 6 6 7 7 7 7 6 6 7 8 9 11 13 14 13 11 11 11 13 14 14 13 12 12 13 14 16 17 17 17 16 16 16 16 14 13 11 10 9 8 7 6 6 5 5 6 nan
nan 10 10 10 10 11 11 11 11 11 11 11 10 10 11 12 13 14 15 16 16 16 16 16 16 17 17 16 16 16 15 15 15 15 15 15 15 14 13 13 13 13 13 13 13 12 11 9 7 5 5 5 6 8 10 11 11 11 10 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 8 9 10 11 11 10 8 7 8 9 12 13 14 13 13 12 13 14 16 17 17 17 16 16 16 15 13 12 11 10 9 9 9 8 8 8 7 7 nan
nan 10 10 10 11 11 11 11 12 12 12 12 12 13 14 14 15 15 14 14 13 13 13 13 14 14 15 15 15 15 16 16 16 16 16 17 17 16 15 14 12 12 12 13 12 12 12 10 8 7 5 4 5 7 9 10 11 11 10 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 9 8 6 5 6 8 11 13 14 14 13 13 12 12 14 15 17 17 17 16 16 16 14 13 12 12 11 10 9 9 9 9 9 9 8 nan
nan 10 10 11 11 12 12 12 13 13 13 14 13 14 14 13 13 12 12 11 11 11 11 11 11 12 13 13 14 15 15 15 15 15 15 16 17 17 17 16 15 14 13 13 13 13 12 11 11 10 9 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 8 7 6 7 9 12 14 15 15 14 13 12 12 12 13 14 15 16 16 15 15 15 14 13 13 12 11 11 10 10 10 10 10 10 9 nan
nan 10 11 11 12 12 12 13 13 13 14 14 13 12 12 11 11 11 11 11 10 10 10 10 10 10 11 12 13 13 12 12 11 11 12 13 15 16 18 19 18 17 16 15 14 13 13 12 12 11 11 11 10 10 8 7 7 7 8 9 9 9 10 10 9 9 8 9 9 9 9 9 9 10 10 10 9 8 8 9 11 13 15 15 15 13 13 12 12 12 12 12 13 14 14 14 13 14 14 14 15 15 14 13 11 10 10 10 10 10 10 10 nan
nan 11 11 12 12 12 12 12 13 13 12 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 12 14 16 18 18 18 17 17 16 15 14 13 13 12 11 11 11 10 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 13 13 11 11 11 11 12 11 11 12 12 12 12 12 12 13 13 15 17 17 17 15 12 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 13 14 16 17 18 18 18 18 17 16 15 13 12 12 11 11 11 10 10 9 9 10 9 9 9 10 10 11 11 11 10 10 9 9 9 9 8 8 9 9 10 10 11 11 10 10 9 9 10 11 11 11 11 11 12 12 12 12 12 12 12 13 16 18 19 19 17 13 12 12 11 12 12 12 11 nan
nan 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 11 11 10 10 10 10 11 12 13 15 16 18 19 20 20 20 18 17 15 14 13 12 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 10 9 8 8 8 8 9 10 11 11 12 11 10 10 10 10 10 11 11 11 10 11 12 12 13 13 12 12 11 12 15 16 18 19 17 15 14 12 11 12 12 12 11 nan
nan 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 12 14 16 17 19 20 21 20 18 17 16 15 13 11 10 10 10 10 11 11 10 9 8 8 8 9 10 10 10 10 10 9 8 8 8 9 9 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 13 12 12 11 11 12 12 15 17 17 17 15 13 12 12 11 11 11 nan
nan 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 12 13 14 16 17 18 18 18 18 18 17 14 11 9 8 8 10 11 11 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 14 14 13 13 12 12 11 11 11 11 12 13 13 13 13 11 10 9 9 10 12 14 15 16 17 15 13 12 11 11 11 nan
nan 9 10 10 10 11 12 12 12 12 11 11 10 10 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 12 13 14 15 15 16 18 19 19 17 15 11 8 8 8 10 10 10 10 10 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 12 12 12 11 11 12 13 13 14 12 10 9 8 8 9 10 11 12 15 16 16 15 13 12 11 11 nan
nan 9 10 10 11 11 12 13 12 11 11 10 10 10 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 16 18 19 20 18 15 12 10 9 9 9 10 10 11 10 9 7 6 6 8 8 9 9 9 10 10 10 10 10 10 11 12 12 13 12 12 11 11 12 12 11 11 12 13 13 14 13 11 10 9 7 7 8 8 9 11 13 14 15 16 15 14 12 11 nan
nan 10 10 10 11 11 12 12 12 11 10 10 10 10 11 11 12 13 13 14 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 14 16 17 18 19 18 16 14 13 12 11 11 11 12 12 11 9 6 5 6 7 8 9 9 9 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 12 13 14 15 15 13 11 10 9 7 7 7 7 8 10 11 12 14 16 17 16 14 12 nan
nan 10 10 11 11 11 12 12 11 11 11 10 11 11 11 12 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 12 12 12 11 11 11 12 13 14 15 16 16 16 16 15 14 14 14 13 13 14 14 14 12 9 7 7 7 8 8 9 9 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 13 14 15 17 16 15 13 11 9 8 8 7 7 8 9 9 11 13 15 17 17 16 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 13 14 14 14 14 14 13 13 13 13 13 14 14 15 16 17 17 15 13 11 8 8 8 8 8 8 9 9 10 11 11 12 12 12 11 11 11 11 12 11 11 12 13 15 17 17 15 14 12 10 10 9 7 7 8 8 9 10 12 14 16 18 17 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
6 6 4 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 2 3 4 3 4 5 3 2 2 1 1 2 6 10 13 16 20 27 40 55 69 84 96 107 110 103 92 83 81 83 83 81 74 70 71 69 63 55 53 51 50 50 47 43 50 59 66 69 70 75 83 91 95 89 76 62 48 35 22 15 11 10 10 11 10 8 6 4 4 4 4 4 4 6 11 75 224 408 572 600 632 698 794 890 887 764 636 540 500 507
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