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 10 9 10 9 9 11 13 14 15 13 10 9 8 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 10 12 15 18 20 20 17 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 11 12 14 15 15 16 16 17 18 17 16 15 13 12 12 11 10 11 11 11 12 12 12 11 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 8 9 9 9 9 nan
nan 11 11 11 10 10 11 12 14 16 15 13 11 10 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 12 14 17 20 21 19 16 14 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 11 11 11 12 14 15 16 16 16 17 18 19 20 19 16 14 13 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 11 11 11 10 10 10 11 13 15 15 14 13 11 10 9 9 9 10 10 9 8 9 10 10 10 10 11 11 11 12 11 11 12 13 16 19 21 21 19 16 14 12 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 14 15 15 16 16 17 18 19 20 19 18 16 13 12 12 12 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 10 10 11 10 10 10 9 10 10 10 10 10 9 9 nan
nan 10 10 10 10 10 10 11 14 15 15 14 12 10 9 9 9 9 10 9 9 9 10 12 13 13 13 13 12 12 12 12 12 12 14 16 19 21 22 21 18 15 13 12 11 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 11 11 11 12 12 13 14 15 15 15 16 16 17 17 17 17 16 14 12 12 11 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 nan
nan 10 10 9 9 9 9 11 14 15 15 14 12 10 9 9 9 9 9 9 9 9 11 14 15 15 14 14 13 12 12 12 12 13 14 16 19 21 23 22 20 17 15 14 12 10 9 9 9 9 9 8 7 7 8 8 8 8 8 8 9 9 10 11 11 12 12 13 14 14 15 15 15 15 15 15 15 15 14 13 12 11 10 9 9 9 9 8 8 9 9 10 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 nan
nan 10 10 10 9 9 9 11 13 14 14 13 12 11 10 9 9 9 9 9 8 9 11 13 14 14 14 13 12 12 12 12 12 13 14 17 19 22 24 23 21 19 18 17 15 13 12 10 10 9 9 8 7 7 7 6 7 6 6 7 7 8 9 10 11 12 12 13 13 14 14 15 15 14 14 13 13 13 13 12 12 11 11 10 10 9 9 10 10 10 11 11 11 11 11 12 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 nan
nan 10 10 10 10 9 9 10 11 13 13 13 12 12 11 10 9 10 10 10 10 9 9 10 11 11 11 11 12 11 11 11 11 12 14 17 20 23 23 23 22 21 21 21 20 18 17 15 14 12 11 10 9 8 7 7 7 6 6 6 6 7 8 9 11 11 12 13 14 14 14 14 14 14 13 12 12 13 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 12 12 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 10 10 11 10 10 9 9 10 12 12 11 11 11 11 10 10 10 11 12 12 11 10 9 9 10 10 10 10 11 11 11 11 12 13 15 17 18 18 19 19 20 21 23 24 24 23 22 20 19 18 16 15 14 13 12 11 11 10 9 9 9 9 9 10 11 12 13 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 12 12 12 12 11 11 10 10 10 10 9 9 8 8 9 9 9 9 9 8 nan
nan 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 12 13 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 14 16 18 20 22 24 25 26 26 27 27 26 24 23 22 21 20 19 19 17 15 14 13 12 12 11 12 13 14 14 14 14 14 13 13 12 12 12 11 11 12 12 12 13 12 12 12 12 13 13 13 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 8 8 nan
nan 10 10 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 11 12 11 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 8 9 10 12 14 16 17 17 18 21 24 27 30 33 33 31 31 31 31 30 29 29 27 25 23 22 20 18 16 15 14 14 14 14 15 15 14 13 13 13 13 12 12 12 12 13 13 13 13 13 12 13 12 12 12 12 12 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 nan
nan 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 9 10 10 11 10 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 12 13 15 17 18 18 18 20 23 27 30 31 30 30 32 34 36 36 35 35 35 34 32 31 29 28 25 23 21 19 18 17 16 16 15 14 14 14 14 14 13 12 13 14 14 13 13 12 12 12 12 12 12 11 11 10 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 8 8 nan
nan 9 10 10 10 11 12 12 12 11 10 10 10 10 11 10 10 10 10 10 10 9 8 9 9 10 11 11 11 10 10 9 8 8 8 9 10 11 11 12 13 14 17 21 23 24 25 27 29 29 27 26 26 30 34 35 35 35 36 36 37 36 36 36 36 35 33 30 28 26 24 22 21 19 17 16 16 15 14 13 13 14 14 14 13 12 12 11 11 11 11 11 11 10 9 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 8 8 nan
nan 9 9 10 10 11 12 12 12 11 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 10 10 11 10 9 8 8 8 8 9 10 10 10 10 10 11 13 17 21 23 25 26 26 24 22 23 25 27 28 29 30 31 32 33 34 35 35 36 36 36 36 35 35 35 33 32 30 28 25 23 20 18 16 14 13 14 14 13 12 11 11 11 11 11 11 11 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 nan
nan 9 9 9 10 11 11 12 11 11 10 10 10 10 10 10 10 11 11 11 10 9 8 7 8 8 9 9 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 12 14 15 14 12 11 10 12 14 15 16 17 18 21 24 26 27 28 28 27 26 25 26 30 34 36 37 37 37 36 34 32 29 26 23 20 16 15 14 13 12 11 11 11 11 11 10 10 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 nan
nan 9 9 9 10 11 12 12 11 10 10 9 9 9 9 9 9 10 10 11 11 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 5 5 5 4 2 0 -0 0 1 1 1 3 4 5 9 13 15 15 15 15 14 12 13 19 25 30 33 35 37 37 37 37 35 33 30 27 23 19 17 16 15 13 12 12 12 11 10 10 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 nan
nan 10 10 10 11 12 13 13 12 10 9 8 9 9 9 9 9 9 9 10 10 10 8 7 6 6 8 8 8 7 7 7 8 9 10 10 10 9 9 9 8 8 7 6 5 4 4 3 2 2 1 -0 -1 -2 -2 -2 -3 -3 -2 1 2 2 3 5 7 8 9 12 15 19 21 24 28 31 32 33 33 33 32 30 26 23 20 18 17 16 14 13 13 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 9 nan
nan 12 12 12 12 13 13 13 12 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 6 6 7 8 8 7 7 7 8 9 10 11 10 9 9 8 8 7 7 8 8 8 8 8 8 8 7 6 5 4 3 2 1 -0 -1 -2 -3 -4 -3 -1 3 6 7 5 4 5 7 10 14 19 23 24 25 25 26 25 22 20 19 17 15 15 14 13 12 12 12 12 12 11 10 10 9 8 9 10 10 10 10 11 11 11 11 11 11 10 10 9 nan
nan 15 15 15 15 15 15 15 13 11 11 10 10 10 9 8 8 9 10 11 11 11 10 8 6 6 7 8 8 8 7 7 7 8 10 11 10 10 9 8 8 8 8 9 9 10 10 11 11 11 10 9 8 8 7 6 6 5 4 3 1 -1 -1 -1 0 1 2 1 1 0 1 3 7 11 14 16 16 17 17 17 16 14 14 13 12 12 12 13 12 11 12 13 14 12 10 9 9 9 9 10 10 10 11 11 12 12 12 11 11 10 10 10 nan
nan 17 17 16 16 16 17 17 16 15 14 13 12 11 10 9 9 9 10 11 12 12 10 8 6 7 7 8 9 8 7 7 7 8 10 11 11 11 9 8 8 8 9 9 9 10 10 10 11 11 11 10 9 9 8 8 8 8 7 7 6 5 3 2 1 2 3 6 9 11 11 10 10 10 10 11 11 11 11 12 11 10 9 9 9 10 10 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 11 10 10 nan
nan 16 15 14 14 14 15 15 16 17 17 17 16 14 12 11 10 10 10 11 11 11 10 8 7 7 8 9 8 8 8 7 8 10 11 11 10 10 9 9 9 9 9 8 8 8 8 8 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 8 12 16 18 20 20 17 13 11 9 9 9 9 9 10 9 9 8 7 8 9 9 10 10 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 nan
nan 14 12 10 9 9 10 11 13 15 17 18 17 16 15 13 11 11 11 11 11 10 9 8 8 8 9 9 9 9 8 8 9 11 11 10 9 9 9 9 9 9 8 7 7 7 6 8 9 10 10 10 9 8 8 8 8 8 8 9 9 10 11 11 13 15 18 20 19 17 15 13 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 nan
nan 12 11 10 8 7 6 8 11 14 15 15 15 16 16 15 13 13 12 11 11 10 9 8 8 9 10 11 10 9 8 7 9 9 9 7 7 7 9 10 11 10 8 7 7 6 6 7 8 10 11 11 9 8 8 8 9 9 9 10 12 14 16 17 19 21 21 19 15 11 9 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 12 12 11 10 8 7 9 11 12 12 11 12 14 15 15 15 15 14 12 11 10 10 9 9 10 11 11 10 9 7 7 7 7 6 5 5 7 9 12 12 11 9 8 6 5 6 7 8 11 12 11 10 9 8 8 9 10 11 13 15 17 20 22 24 25 21 17 12 9 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 11 11 11 10 9 9 10 11 11 9 9 9 11 12 13 14 15 15 13 12 11 11 10 11 12 12 11 9 7 6 6 7 6 5 5 6 8 12 14 14 12 10 8 6 6 7 7 9 12 13 12 11 10 9 9 10 11 13 14 16 17 20 23 24 22 17 13 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 8 nan
nan 10 10 10 10 10 10 11 11 10 9 9 9 9 9 10 13 14 14 14 13 12 11 11 11 11 11 9 7 5 5 6 7 7 6 6 8 11 14 15 14 12 10 7 6 7 7 7 10 12 12 12 12 11 10 10 10 11 13 14 14 15 15 15 14 12 10 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 8 9 9 9 9 9 9 9 8 8 nan
nan 10 10 11 11 12 12 11 10 9 10 11 11 11 10 11 13 14 15 15 14 13 12 12 11 10 10 8 7 6 7 7 7 8 8 8 10 13 15 14 12 10 7 6 7 7 7 8 10 11 11 12 11 11 10 10 10 11 12 12 12 11 8 5 4 3 6 7 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 nan
nan 10 10 12 13 13 12 10 8 9 11 13 14 14 14 14 15 16 16 15 14 14 14 13 11 10 9 8 8 8 8 9 9 9 9 9 11 12 12 11 9 7 6 7 7 7 7 9 9 10 11 12 11 10 10 9 9 10 10 10 9 8 6 4 4 7 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 nan
nan 10 11 12 13 12 11 9 8 10 12 15 16 16 16 16 16 16 15 14 13 15 15 14 12 10 10 9 9 10 10 10 10 9 9 10 11 11 11 10 9 7 7 7 7 6 7 8 9 10 12 11 11 10 8 8 9 9 9 9 9 8 8 8 11 14 14 13 12 10 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 11 12 13 12 12 11 10 11 12 14 16 18 18 18 17 15 14 12 11 12 15 15 14 13 12 11 11 11 11 11 10 10 10 11 12 12 12 13 13 11 9 8 7 6 6 7 8 9 11 12 11 11 9 8 8 9 9 10 11 10 11 11 11 13 14 14 14 12 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 13 13 13 13 13 12 13 14 15 16 18 19 20 20 19 16 14 12 11 13 16 17 17 17 15 13 12 11 10 10 10 10 10 11 12 12 14 15 15 13 11 9 7 6 7 7 8 10 12 12 11 10 9 8 9 10 11 12 12 12 12 11 11 10 9 9 10 11 11 12 12 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 14 14 14 15 15 15 16 17 18 19 20 21 22 23 22 20 18 17 16 18 20 20 21 19 16 13 11 9 8 8 8 8 9 9 10 11 13 15 15 14 12 9 7 7 8 8 8 10 11 11 11 10 9 9 10 11 13 13 13 12 12 11 9 7 4 5 7 10 12 13 13 12 12 12 12 11 10 10 11 11 11 11 11 10 11 11 11 11 11 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 14 14 14 15 16 18 20 20 21 22 24 26 27 27 26 25 24 22 21 21 21 22 21 17 13 10 8 7 6 6 7 7 7 8 8 10 11 14 15 15 14 11 9 9 8 8 9 10 10 11 11 10 9 10 10 12 13 13 13 12 11 11 9 7 4 3 5 7 11 13 13 13 13 13 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 nan
nan 14 13 13 13 15 18 20 20 20 22 26 30 32 32 31 29 27 26 24 22 21 20 17 13 10 8 6 6 6 6 6 6 6 7 8 8 10 13 15 16 16 13 11 10 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 8 6 4 3 5 9 11 13 13 13 12 12 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 8 nan
nan 13 12 12 12 13 14 15 15 15 17 21 28 33 34 35 34 32 30 26 23 20 17 14 11 9 8 6 6 6 6 6 6 7 7 7 7 9 12 14 16 15 14 12 10 9 9 9 9 10 10 10 11 11 10 11 11 10 11 11 10 10 10 10 10 8 5 3 4 7 10 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 6 4 2 1 2 nan
nan 10 10 10 10 10 10 10 10 11 12 15 21 26 31 36 40 41 37 31 24 19 15 12 10 8 7 6 6 6 7 6 7 7 7 7 8 9 11 13 14 15 13 12 10 9 8 9 10 11 11 11 10 9 9 9 9 10 10 10 9 9 9 10 10 9 6 4 3 4 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 3 1 -3 -5 -7 -6 nan
nan 7 7 7 8 8 8 7 7 7 8 11 15 20 26 34 43 45 41 33 25 18 14 11 9 6 5 6 7 7 6 6 7 7 7 8 9 10 11 13 14 14 13 12 10 9 9 9 10 11 11 10 9 8 8 8 8 9 9 9 8 9 9 9 9 9 8 6 2 0 1 4 6 8 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 6 4 0 -3 -6 -7 -6 -5 -4 nan
nan 4 5 5 6 6 6 6 5 4 3 6 10 16 22 31 39 41 39 32 25 18 13 10 8 7 7 7 8 7 6 6 7 8 8 9 9 10 11 12 13 14 14 14 12 10 10 10 11 11 10 10 8 8 8 7 8 8 8 8 8 8 9 9 9 10 9 7 3 -2 -4 -5 -4 -1 3 5 6 8 11 11 11 12 12 11 11 11 11 10 10 9 9 9 8 8 8 8 8 7 7 7 6 6 5 3 -1 -4 -6 -6 -3 -0 3 5 nan
nan 2 3 4 6 5 5 5 4 -0 -3 -1 6 12 19 26 32 34 33 29 24 19 15 13 12 11 11 10 8 6 6 7 7 8 8 9 9 9 9 10 11 12 14 14 12 11 10 10 11 11 10 9 8 7 7 6 6 6 6 6 7 8 8 9 10 10 10 8 6 2 -2 -5 -7 -6 -4 -3 -3 -1 2 6 9 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 7 7 6 5 4 2 -1 -3 -3 -0 3 7 9 9 nan
nan 3 4 6 7 7 6 6 4 -2 -7 -6 -0 7 15 22 27 28 27 25 23 22 21 20 18 17 15 12 9 7 7 7 6 7 8 8 8 7 7 7 8 10 14 13 11 10 9 9 10 10 9 8 7 6 5 4 4 3 3 4 6 7 8 10 11 11 11 11 10 8 5 2 1 -0 -3 -5 -7 -7 -5 1 5 9 10 10 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 4 3 2 4 5 8 9 9 10 nan
nan 7 7 8 10 10 8 7 6 -0 -5 -6 -3 3 11 18 21 21 20 20 22 23 24 24 23 21 18 15 11 9 8 6 5 6 7 7 6 6 5 5 5 9 12 11 10 9 7 8 9 8 8 7 6 5 4 3 2 1 2 3 5 6 8 10 11 11 11 12 12 11 10 10 10 8 4 2 -1 -3 -3 -2 1 3 5 6 8 6 6 5 6 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 nan
nan 10 10 11 11 11 10 10 8 4 0 -1 -1 3 10 14 16 16 16 17 20 22 23 24 24 24 21 17 14 11 8 6 6 7 7 6 5 5 5 4 6 9 10 11 11 9 8 8 8 7 7 7 6 6 6 5 4 3 4 5 6 6 8 10 10 11 11 11 11 11 12 13 13 11 9 8 6 4 2 -2 -3 -4 -4 -4 -4 -4 -4 -2 1 4 7 7 8 8 8 9 9 9 10 11 11 11 12 11 11 11 11 10 9 9 9 9 nan
nan 12 12 11 11 10 10 11 9 7 5 4 4 6 9 11 12 12 14 16 18 19 19 21 25 26 24 20 17 13 9 8 8 8 8 6 6 6 6 5 7 8 10 12 12 9 8 8 7 7 7 8 8 8 9 9 9 8 8 8 7 8 9 9 10 10 10 10 10 10 11 12 12 11 11 10 9 7 5 0 -5 -8 -11 -13 -14 -12 -10 -8 -5 -2 1 2 4 5 6 8 9 9 10 11 11 12 13 14 15 17 16 14 12 10 9 9 nan
nan 13 12 11 10 10 11 11 10 8 6 6 7 8 8 9 8 9 12 14 15 15 16 19 24 26 26 24 21 16 13 12 11 10 8 7 7 7 6 7 8 9 11 13 12 10 9 8 8 8 9 9 9 10 11 11 12 12 11 10 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 10 9 8 6 3 -1 -5 -8 -8 -8 -7 -7 -7 -8 -9 -9 -8 -5 -2 0 4 7 8 9 10 11 12 13 15 17 20 20 18 15 12 10 9 nan
nan 12 12 11 10 10 11 12 11 10 8 7 7 8 8 7 6 7 9 11 12 12 14 18 22 25 27 27 24 19 17 15 13 10 9 8 7 7 7 8 9 10 14 14 12 11 9 8 9 10 10 10 10 10 11 12 12 12 11 11 10 9 8 8 8 9 9 9 9 9 9 9 10 11 11 11 10 9 8 6 5 3 2 2 3 3 1 -2 -6 -9 -12 -12 -11 -9 -8 -5 0 4 6 8 10 11 12 13 16 19 21 21 19 15 12 10 nan
nan 10 11 10 10 10 11 12 12 11 10 9 8 8 7 5 5 5 7 9 11 13 15 17 18 21 25 27 25 21 19 17 15 13 11 10 8 7 8 9 10 13 16 15 14 13 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 9 8 8 8 8 8 8 9 9 9 10 11 12 12 12 12 10 9 9 8 8 8 8 8 7 6 4 2 -1 -2 -4 -6 -8 -9 -9 -7 -4 1 4 7 9 10 11 13 16 19 21 21 19 16 14 nan
nan 10 10 10 10 10 11 11 11 11 11 10 9 8 6 5 4 4 6 8 11 13 14 14 15 19 22 24 23 21 20 19 18 17 16 15 12 10 9 9 11 16 18 18 18 15 12 11 11 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 9 10 10 11 12 12 12 12 11 10 10 9 9 9 9 9 8 8 8 8 7 7 5 4 1 -2 -5 -6 -6 -3 2 5 7 8 9 10 12 15 18 21 22 21 19 nan
nan 10 10 10 10 10 10 10 11 11 11 11 10 9 7 5 4 5 7 9 11 11 11 11 14 18 21 21 20 20 20 21 21 21 20 18 15 14 12 11 13 17 19 21 21 18 15 13 11 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 6 4 1 1 1 2 3 4 5 6 8 9 11 14 17 20 21 21 nan
nan 10 10 9 9 9 10 10 10 10 11 11 11 9 7 5 5 6 9 10 9 7 7 9 13 16 19 18 17 17 18 20 21 21 21 18 17 16 15 14 16 18 20 21 21 17 14 12 10 11 12 12 12 12 11 10 10 10 10 10 10 9 8 8 8 7 7 8 7 7 8 8 8 9 9 10 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 6 3 -0 -2 -3 -1 0 2 4 7 9 12 14 16 17 nan
nan 9 9 9 9 9 9 9 10 10 10 10 11 10 8 6 5 7 9 10 9 6 6 8 11 13 15 15 15 15 16 17 18 19 18 17 17 17 16 17 17 18 20 21 19 17 14 12 11 12 13 13 12 11 11 10 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 9 10 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 10 10 9 6 1 -4 -7 -6 -5 -4 -3 -1 1 3 5 7 9 12 nan
nan 9 10 10 9 9 9 9 9 10 10 10 10 10 9 7 6 7 8 10 9 8 7 8 9 11 11 11 12 13 13 14 15 16 16 16 16 16 16 16 16 17 19 20 20 19 18 15 14 14 13 12 12 11 10 10 9 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 8 5 2 -1 -1 -1 -1 -1 -1 -2 -2 -2 -0 1 4 6 nan
nan 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 9 8 9 10 10 10 10 10 10 11 12 13 13 14 15 15 15 15 15 16 17 19 20 21 20 18 16 14 12 11 11 10 10 10 9 8 7 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 8 8 8 9 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 9 7 6 6 7 7 6 6 5 3 0 -1 -0 1 2 2 nan
nan 9 10 10 9 9 9 9 9 9 8 8 8 9 10 11 12 13 13 12 11 10 9 9 9 9 9 9 10 9 8 8 9 10 11 12 14 15 15 14 14 15 16 17 19 20 20 19 17 14 13 12 11 10 10 10 9 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 9 10 10 11 11 11 10 10 10 9 9 10 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 6 6 5 4 3 nan
nan 9 9 9 9 9 9 9 9 8 7 8 9 11 13 14 15 15 14 13 11 10 9 9 9 8 8 9 9 8 7 6 5 5 6 8 11 13 14 14 14 15 16 17 18 19 19 19 18 17 16 15 13 11 11 10 10 10 12 12 12 12 12 12 11 11 10 9 9 9 9 9 8 8 7 8 8 9 9 10 10 10 10 10 10 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 8 7 nan
nan 9 9 9 9 9 9 9 8 7 7 9 11 13 15 15 15 14 13 12 11 11 10 10 10 9 8 9 9 9 7 4 3 2 2 3 6 8 10 12 14 16 17 17 18 18 18 18 18 17 17 16 14 13 13 13 12 13 13 12 13 13 13 12 12 12 11 11 10 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 nan
nan 10 10 10 10 9 9 9 8 8 9 11 13 14 14 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 8 6 5 4 3 2 2 3 5 8 11 14 16 17 17 17 17 17 17 16 15 15 15 16 16 15 14 13 12 12 13 13 12 12 12 12 11 11 10 9 9 10 10 11 11 12 12 12 12 11 9 8 8 8 9 11 11 11 10 10 9 10 10 10 10 10 10 10 9 10 9 9 9 9 9 9 10 10 10 10 10 11 nan
nan 11 11 11 10 10 9 9 9 9 10 12 13 12 12 11 10 10 11 11 11 11 12 12 12 12 11 11 11 11 10 9 8 7 5 4 3 2 2 4 7 10 13 15 16 17 17 17 17 16 15 15 16 17 16 15 13 12 12 12 13 12 12 12 12 12 11 11 10 10 10 10 10 11 12 12 12 11 10 8 8 8 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 13 12 12 12 12 11 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 8 8 7 6 4 2 2 4 7 10 12 13 15 16 17 17 17 16 16 16 15 14 13 12 12 11 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 12 12 11 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 nan
nan 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 12 11 11 9 8 9 9 8 6 4 3 4 5 7 8 10 11 13 15 16 16 16 16 14 13 11 11 11 11 11 12 12 11 11 12 12 11 11 11 11 11 11 10 10 11 11 10 10 9 9 9 10 10 10 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 10 10 nan
nan 13 14 14 15 14 14 13 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 12 11 9 9 9 9 9 8 7 5 5 5 5 5 6 8 10 12 13 14 15 15 14 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 12 13 13 14 15 15 14 14 13 12 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 12 11 10 9 9 9 9 9 9 8 7 7 6 5 5 6 8 10 10 11 14 16 16 15 14 13 12 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 12 13 14 15 15 15 15 14 13 12 11 11 10 10 11 11 11 12 12 12 12 12 12 11 11 11 12 12 10 10 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 8 8 11 15 17 19 18 16 15 13 13 12 13 13 13 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 9 9 10 10 9 9 9 9 8 9 9 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 nan
nan 11 11 11 12 13 13 14 15 15 15 15 14 13 13 12 12 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 8 8 7 6 6 8 11 14 17 19 18 18 17 16 15 14 13 13 13 13 13 12 11 11 11 12 12 12 12 12 11 11 10 9 9 9 9 9 10 10 9 9 9 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 nan
nan 11 10 11 11 11 12 12 13 14 14 15 15 15 15 14 14 13 13 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 7 6 6 7 9 11 14 15 16 15 15 15 14 13 13 14 14 14 13 11 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 11 12 13 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 nan
nan 10 10 10 10 10 10 11 11 12 12 13 14 15 15 15 15 15 14 14 13 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 11 10 9 8 7 7 8 8 9 9 9 9 10 10 10 11 12 14 15 14 12 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 11 12 12 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 nan
nan 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 15 16 16 15 15 14 13 11 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 9 7 6 5 5 5 5 6 6 6 6 10 14 14 14 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 9 9 10 11 12 12 11 11 11 10 11 11 11 10 10 10 10 10 11 11 11 11 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 15 16 16 16 15 14 12 11 10 10 10 9 9 9 8 8 9 9 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 10 9 8 6 6 5 4 4 3 3 2 3 6 9 11 14 16 15 14 13 11 10 11 11 11 10 9 9 8 8 8 9 9 9 9 9 8 9 9 10 11 11 10 10 10 10 11 11 10 11 11 10 10 11 11 11 11 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
0 0 0 0 0 0 1 15 77 176 286 366 393 400 405 414 425 435 453 453 438 411 380 378 374 345 314 307 317 360 383 394 400 388 366 381 400 410 411 417 368 321 281 247 237 269 297 299 281 255 226 226 258 283 280 291 346 347 330 320 317 342 432 513 572 658 876 832 833 849 740 589 687 683 645 635 629 518 429 349 278 214 198 203 229 271 321 374 421 458 483 492 489 483 465 443 416 396 368 336 292 238 181 145 100 58 28 18 12 9 9 10 11
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