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 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 10 9 8 8 9 9 9 8 8 8 9 9 8 8 11 19 28 34 34 30 22 14 10 8 6 5 5 4 5 5 5 6 7 7 6 5 2 -2 -4 -3 -0 9 23 34 38 38 34 25 18 15 13 11 10 10 10 9 7 5 5 5 5 6 7 7 6 6 5 5 4 4 3 5 9 12 13 15 14 12 nan
nan 11 11 10 8 7 7 7 7 7 8 9 9 9 9 9 10 11 11 11 11 11 11 10 10 11 12 12 12 12 12 11 11 10 10 9 7 8 9 9 8 8 7 8 9 9 9 9 12 19 27 32 34 29 20 14 11 9 8 7 7 7 7 7 8 8 8 8 8 6 4 1 -2 -4 -3 5 16 26 34 39 37 30 24 19 14 11 11 11 12 10 8 6 6 4 5 6 7 7 6 6 7 7 7 6 4 3 4 7 10 12 13 12 nan
nan 11 10 8 5 6 7 7 7 8 9 10 10 9 9 10 11 11 11 10 11 11 10 10 10 11 12 12 12 12 11 11 10 10 9 8 6 7 8 8 7 7 8 9 10 11 11 10 13 18 25 31 33 28 21 16 12 9 8 8 8 9 9 9 9 10 10 10 9 8 6 4 1 -3 -4 0 8 17 31 40 38 34 29 22 15 12 12 11 11 9 9 8 7 6 6 6 7 8 8 8 10 12 14 15 14 10 7 6 8 10 11 12 nan
nan 10 9 7 6 7 8 9 9 10 10 10 10 10 10 11 11 11 10 11 12 12 11 11 11 12 12 12 12 12 11 10 10 9 8 6 6 6 6 6 7 8 9 10 11 12 12 13 14 18 24 31 33 28 23 17 12 8 8 8 8 8 8 9 9 10 10 9 9 8 7 6 3 -1 -3 -3 1 12 26 34 37 37 32 24 19 15 13 11 10 10 10 10 9 8 8 8 8 9 10 10 12 16 22 26 27 25 20 15 12 11 10 10 nan
nan 9 8 8 8 9 11 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 12 12 12 12 12 12 11 10 10 9 8 6 5 4 3 4 8 10 11 12 13 14 14 15 16 18 25 31 32 29 24 17 11 9 8 8 8 7 7 8 8 7 7 8 7 7 7 7 5 2 -1 -4 -2 6 18 27 34 38 35 29 24 19 14 11 11 11 12 12 11 11 10 10 10 10 10 10 11 15 22 28 32 35 33 29 24 20 14 10 nan
nan 9 9 9 9 10 11 12 11 11 11 10 10 9 9 10 11 11 11 11 11 11 11 12 13 13 13 12 12 12 11 11 10 10 9 6 3 1 2 7 11 13 14 14 15 15 15 16 17 20 26 29 30 29 24 16 12 10 9 8 7 7 6 6 5 4 4 4 5 6 7 8 7 5 2 -3 -3 2 10 20 32 38 35 32 28 21 15 14 13 12 12 13 13 13 13 11 11 10 9 7 8 10 14 19 26 33 37 37 35 30 22 15 nan
nan 10 9 9 9 10 10 10 10 9 9 8 8 9 9 10 11 11 11 11 11 12 12 12 12 13 13 12 12 12 11 11 11 11 9 6 4 4 8 13 15 17 18 17 16 16 16 17 19 22 25 28 29 27 22 16 13 11 9 8 7 6 5 4 2 2 2 2 3 5 7 8 9 8 5 0 -1 0 5 16 28 33 34 33 29 23 19 17 14 13 13 14 14 14 13 11 11 9 7 4 4 5 7 9 14 22 27 31 34 33 28 22 nan
nan 10 9 9 9 9 9 9 9 8 7 7 8 9 10 11 11 11 11 12 13 13 12 11 11 12 12 11 11 11 12 12 12 11 9 8 8 11 15 18 20 21 21 20 19 18 18 20 22 24 26 28 28 26 21 17 13 10 8 7 6 5 4 2 1 1 1 1 2 3 5 7 9 9 8 5 2 0 4 13 21 27 31 33 29 25 22 18 14 13 13 13 14 13 12 11 9 8 5 3 2 3 4 4 6 9 15 20 25 26 25 24 nan
nan 9 9 9 10 10 9 8 8 7 7 7 9 10 11 10 10 10 11 12 13 13 12 12 12 12 11 9 10 12 13 12 11 10 10 11 12 15 18 19 20 20 20 20 21 21 22 23 25 27 29 30 29 24 20 16 12 9 7 6 5 4 3 2 2 2 2 1 1 3 4 6 8 10 10 8 5 2 3 8 15 23 31 32 30 27 23 18 14 13 12 12 12 12 10 9 7 6 4 3 3 3 4 4 4 5 8 12 15 15 17 20 nan
nan 8 9 10 10 10 9 8 7 7 7 8 10 11 10 10 9 9 10 10 11 12 12 13 13 12 10 10 11 12 11 10 9 9 10 11 12 14 14 14 14 14 15 16 17 18 20 22 24 27 30 32 30 26 21 15 11 8 6 4 3 3 3 3 3 3 2 2 2 3 4 6 8 10 11 10 6 3 3 6 12 22 29 30 30 28 23 18 16 13 11 10 10 10 8 7 6 5 5 5 5 6 7 7 7 6 6 8 9 10 12 14 nan
nan 9 10 11 10 10 9 8 8 7 8 10 11 11 10 9 9 9 9 9 10 10 11 12 12 11 10 10 11 11 10 9 9 10 10 11 12 12 11 10 10 10 10 10 10 11 12 14 16 20 27 31 32 30 24 17 11 8 5 3 3 3 3 4 4 4 3 3 3 3 5 7 9 10 10 9 6 4 4 6 13 21 27 29 30 28 23 19 16 13 10 9 9 8 7 6 6 6 6 7 8 9 10 10 10 9 8 8 8 9 10 11 nan
nan 10 11 11 11 10 10 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 10 10 10 11 11 12 12 12 11 11 10 10 10 9 9 9 9 10 16 24 30 34 33 27 20 13 8 5 4 3 4 4 4 4 4 4 4 3 4 6 8 9 9 8 7 5 4 4 8 14 20 26 30 31 28 25 20 16 12 10 9 8 7 7 6 6 6 7 8 9 11 12 13 13 12 11 10 10 9 9 9 nan
nan 10 11 11 11 10 9 9 9 10 10 10 11 10 10 10 9 9 9 8 8 9 9 9 9 10 10 9 8 8 8 9 10 11 11 12 12 13 13 13 13 13 12 12 13 13 14 14 18 25 31 34 35 32 27 21 15 9 6 5 4 4 4 4 5 5 4 4 4 5 7 8 9 8 6 5 4 4 5 8 14 20 26 31 31 29 26 21 16 13 11 9 7 7 6 6 7 7 8 9 10 11 12 14 14 13 13 12 10 9 8 8 nan
nan 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 9 10 12 12 12 12 12 12 13 13 13 13 13 15 17 19 21 27 35 41 42 37 31 26 21 15 11 7 5 4 4 3 4 4 4 4 5 6 7 8 8 8 7 6 4 3 3 5 8 14 22 28 32 31 30 27 22 18 14 11 9 7 7 6 7 7 7 8 9 9 10 12 12 13 13 12 11 10 9 8 8 nan
nan 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 9 10 10 9 9 9 8 8 9 9 9 9 10 12 13 13 13 12 11 11 10 10 10 11 13 15 16 18 20 25 32 37 37 33 28 23 19 16 13 11 8 6 4 3 3 3 3 5 8 10 10 10 9 8 6 5 3 2 2 4 8 15 24 30 32 32 31 28 24 20 15 11 9 8 7 7 7 7 7 8 8 9 9 10 10 11 11 11 10 9 8 8 8 nan
nan 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 10 12 13 14 14 14 12 10 9 8 8 9 11 12 13 13 14 14 16 20 23 24 23 20 18 16 15 15 14 13 10 6 5 4 3 3 5 8 11 12 11 10 8 6 4 1 -0 0 3 8 17 25 29 32 33 31 28 25 21 17 12 10 9 8 7 7 7 7 7 8 8 8 8 9 9 10 9 9 8 7 7 8 nan
nan 9 8 9 9 8 8 7 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 13 13 14 14 13 11 10 9 8 8 9 11 12 12 12 11 10 10 12 14 15 16 15 14 13 13 14 15 15 12 9 8 8 7 5 5 7 10 12 12 11 9 6 2 0 -1 -0 3 9 17 24 29 32 32 31 29 26 23 18 14 12 10 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 nan
nan 9 9 9 9 8 7 6 7 8 7 7 7 8 9 10 9 9 8 9 9 9 9 9 10 10 9 10 10 11 12 13 13 13 12 11 10 9 8 7 8 9 11 11 12 11 10 9 9 10 12 13 14 14 13 12 12 12 13 13 12 10 10 11 11 9 8 9 11 12 12 11 8 5 2 0 -0 0 4 9 16 23 29 32 32 31 29 27 24 20 16 13 11 10 9 8 8 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 nan
nan 9 8 8 7 6 5 6 7 8 8 8 8 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 13 13 11 10 9 8 7 6 8 9 11 12 12 11 11 10 10 10 12 13 14 14 14 13 12 12 12 12 11 10 10 11 11 11 11 11 11 11 10 9 6 4 2 1 1 2 4 9 15 22 28 32 32 31 29 27 24 21 18 15 12 11 10 9 9 8 8 9 9 9 9 10 10 11 12 13 13 13 13 12 nan
nan 8 6 5 4 4 5 7 8 9 9 10 12 12 10 8 7 7 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 10 9 8 6 4 5 7 10 12 12 11 11 11 11 11 10 11 12 14 15 15 14 14 13 12 11 10 9 9 10 10 11 11 11 10 9 7 6 5 4 3 3 3 3 5 8 14 21 28 31 32 31 30 28 25 22 19 16 13 11 10 10 10 10 10 10 10 10 11 11 11 12 13 15 15 15 15 14 nan
nan 6 5 4 5 6 7 8 10 11 12 13 13 12 9 6 6 8 9 10 10 9 9 9 9 9 9 8 9 9 10 10 11 10 9 8 6 4 3 5 8 11 12 11 11 11 11 11 10 10 11 12 14 15 15 15 14 14 13 12 11 10 9 9 10 10 11 11 10 8 6 4 4 5 4 4 3 4 5 8 13 20 26 30 31 31 30 28 25 23 20 17 14 12 11 10 10 10 10 11 11 12 12 12 13 13 14 15 16 16 15 14 nan
nan 6 6 8 9 10 10 10 11 13 13 13 11 10 7 6 7 9 10 10 10 9 8 9 9 8 7 7 7 8 8 10 10 9 8 7 5 3 4 6 9 11 12 11 10 11 11 11 10 10 11 12 13 14 15 15 15 13 13 13 12 11 10 9 10 11 11 10 9 7 5 5 6 6 5 4 4 4 5 8 13 19 25 28 30 31 30 28 26 23 20 17 15 13 11 11 10 10 10 11 11 12 13 13 13 13 14 14 14 13 13 12 nan
nan 8 10 11 11 10 9 10 12 12 11 10 9 8 7 7 8 10 11 11 9 8 8 8 8 7 6 5 6 7 8 9 9 9 7 6 5 4 5 7 9 10 11 11 11 11 12 11 11 11 11 12 13 14 15 16 15 14 13 13 13 12 11 10 11 11 11 10 8 6 6 6 7 6 5 4 4 4 5 8 12 18 23 27 29 30 30 29 27 24 20 18 15 13 12 11 11 10 11 11 12 12 13 13 13 13 12 12 11 10 9 9 nan
nan 9 10 9 8 7 7 9 10 10 8 7 7 7 7 8 9 10 11 10 9 8 8 8 7 7 7 7 8 9 10 10 10 9 7 6 5 6 6 7 9 11 12 12 12 12 11 11 12 12 12 12 12 13 15 16 15 14 14 14 14 13 12 12 13 12 11 9 6 5 6 7 7 6 6 5 4 4 5 7 11 16 21 25 28 29 29 29 28 24 21 18 15 13 12 12 11 11 11 11 11 11 12 11 11 10 10 9 8 8 7 7 nan
nan 8 7 7 6 7 8 10 10 9 7 7 7 7 7 8 8 9 9 9 10 10 9 9 8 8 9 10 11 11 11 11 10 8 7 6 6 7 7 9 10 12 13 12 12 12 11 11 12 12 11 11 11 13 15 15 15 15 14 14 14 14 14 13 13 12 10 8 6 5 5 6 7 7 6 5 5 4 5 7 10 15 20 24 26 28 29 29 28 26 22 18 15 13 12 12 11 11 11 11 11 10 10 10 9 8 7 7 7 8 7 7 nan
nan 8 8 9 9 11 12 12 11 10 9 9 9 9 9 8 8 8 8 10 11 10 9 8 8 9 9 10 10 10 10 10 8 7 6 6 7 8 9 10 12 13 13 12 12 12 12 12 12 11 10 10 11 13 15 16 16 15 14 14 15 15 14 13 12 11 10 9 7 6 6 6 7 7 7 6 5 5 5 7 10 15 19 23 25 27 28 29 29 27 24 19 16 14 12 11 11 11 11 11 10 9 9 8 8 7 7 7 7 8 8 8 nan
nan 11 12 12 13 13 13 12 10 10 10 11 12 12 11 10 9 9 10 11 10 9 7 6 7 8 8 9 10 10 9 8 7 6 7 8 10 10 11 12 14 14 13 12 12 11 12 12 10 10 10 9 11 13 15 16 17 15 14 14 14 13 12 12 12 12 13 12 10 7 6 6 7 7 7 6 5 5 5 7 10 14 18 22 24 26 27 28 28 28 25 21 18 14 12 11 10 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 nan
nan 13 13 13 13 12 10 9 9 10 12 13 14 13 12 11 11 11 11 10 8 6 6 7 8 9 9 10 10 10 9 8 8 9 10 12 12 13 13 15 15 15 13 11 10 10 10 10 9 9 9 9 10 12 14 17 17 15 14 13 13 12 12 12 13 15 15 14 11 7 6 6 6 7 7 6 5 5 5 7 10 14 17 21 24 25 25 26 27 27 26 23 19 15 12 11 10 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 nan
nan 14 14 13 12 10 8 8 9 11 13 14 13 13 12 12 11 11 10 9 7 7 8 9 10 11 11 11 11 11 10 10 11 13 13 14 14 15 16 17 16 15 12 10 9 9 9 8 8 8 8 8 9 11 13 15 14 14 13 12 12 12 12 13 14 16 16 14 10 7 6 6 6 6 6 6 5 5 6 7 10 13 17 21 23 24 24 25 26 26 26 24 21 17 14 12 10 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 nan
nan 14 13 12 11 10 9 9 11 12 13 12 12 12 13 12 12 11 10 10 10 11 11 12 12 12 13 13 13 13 13 14 15 15 16 15 15 16 17 17 15 14 12 10 9 9 9 8 8 8 8 9 9 10 11 12 11 12 12 12 12 12 12 13 14 15 15 11 7 6 6 5 6 6 6 5 5 6 6 8 9 13 18 21 23 24 24 24 24 24 24 24 22 19 16 13 10 8 7 6 6 6 7 7 8 8 8 9 9 9 10 10 nan
nan 12 11 10 8 7 7 8 10 10 10 11 12 12 13 13 12 12 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 16 16 15 14 13 13 13 13 12 12 11 10 9 8 8 9 10 11 11 10 10 10 11 11 11 12 13 12 13 13 13 12 9 7 6 5 5 5 5 5 6 6 6 7 8 10 14 18 21 23 24 24 23 22 22 23 23 22 20 17 14 11 9 7 6 6 7 7 7 8 8 9 9 9 10 10 10 nan
nan 8 6 4 3 2 3 5 7 7 7 9 11 12 13 13 14 14 15 15 14 13 13 13 14 14 14 14 13 14 14 14 14 13 13 14 14 12 10 9 9 12 15 15 14 13 11 10 9 9 10 11 11 11 10 9 10 11 11 12 13 13 12 12 12 12 11 9 8 6 4 4 5 5 6 6 6 6 7 8 11 14 17 20 23 24 24 23 21 21 21 21 21 20 17 15 12 10 8 7 7 7 8 8 8 9 9 9 9 9 9 8 nan
nan 3 1 1 1 2 4 7 8 7 7 8 10 12 13 13 14 14 14 13 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 11 10 8 7 9 12 14 15 15 14 12 11 10 9 10 11 11 11 10 10 11 11 12 14 14 13 12 11 10 10 10 9 8 6 4 4 5 5 6 6 6 7 7 9 11 14 17 21 23 24 24 23 21 20 19 19 19 18 17 15 13 10 9 8 8 8 8 8 9 9 8 9 9 8 7 7 nan
nan 3 3 5 6 8 10 12 12 11 11 11 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 12 12 12 12 11 12 11 11 11 10 9 8 9 10 12 13 13 13 13 12 11 10 9 9 10 10 11 11 11 12 13 14 15 14 12 11 10 9 9 9 10 8 6 5 5 5 5 6 6 6 7 7 9 10 13 18 22 23 24 25 23 21 19 18 18 17 17 16 15 13 11 10 9 9 9 9 9 9 10 10 10 9 8 8 7 nan
nan 8 9 11 12 13 13 14 14 14 14 14 14 14 14 14 15 16 16 15 12 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 8 8 9 11 13 12 11 11 11 12 12 11 10 9 8 9 10 12 12 13 13 15 16 16 14 12 10 9 9 9 9 9 8 6 5 5 5 5 6 6 6 6 7 8 10 15 19 22 24 25 25 23 22 20 18 17 16 16 15 14 13 12 11 10 10 10 10 10 11 12 12 11 9 7 7 7 nan
nan 10 11 12 13 13 13 13 14 15 15 15 15 15 15 16 19 21 20 16 12 10 9 8 9 10 11 11 10 10 10 10 10 9 9 9 9 9 11 13 14 12 10 9 10 12 13 12 10 8 8 9 11 13 13 13 15 16 16 15 14 11 10 9 9 9 9 9 8 6 5 4 5 6 6 6 6 6 7 8 12 16 20 22 24 25 25 24 23 20 18 17 16 15 14 13 12 12 11 11 11 11 12 12 13 12 10 7 5 5 6 9 nan
nan 11 11 11 12 13 14 15 16 16 15 13 14 15 16 18 21 22 20 16 12 9 8 7 8 10 10 10 10 9 9 9 9 9 9 9 10 11 13 15 13 11 8 7 10 12 13 12 10 9 9 10 11 12 13 13 15 17 17 16 14 11 9 9 9 9 10 9 8 6 5 5 6 7 6 6 6 7 8 10 14 17 20 23 25 25 25 24 23 21 19 17 15 14 13 13 12 12 12 12 12 13 13 13 11 8 4 2 3 5 8 12 nan
nan 12 12 13 14 16 18 19 20 18 13 11 12 13 15 18 20 22 21 16 13 10 8 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 15 14 11 8 5 5 9 12 14 13 11 9 9 10 11 11 12 13 16 18 19 17 13 10 9 9 9 10 10 9 9 7 6 6 7 7 7 7 8 9 10 12 14 17 20 24 26 26 25 24 23 21 19 17 15 14 13 12 12 12 12 12 13 14 14 12 7 2 -0 1 4 8 11 14 nan
nan 13 14 16 19 20 20 20 20 16 10 8 9 11 14 18 22 24 23 18 14 11 9 10 10 9 9 9 9 9 9 10 10 10 11 11 12 13 13 11 8 4 2 5 9 12 14 12 11 10 10 10 10 10 11 13 15 17 19 17 13 10 9 8 9 10 10 10 9 9 8 8 9 8 8 9 9 10 10 11 12 16 22 26 27 27 26 24 23 21 20 17 15 13 13 12 12 12 12 12 13 14 13 10 3 -1 -1 2 6 10 12 13 nan
nan 12 14 17 19 18 15 15 16 13 9 7 8 10 15 20 25 26 22 17 13 11 10 9 9 8 8 8 8 9 9 9 10 10 11 11 12 12 10 7 3 -0 0 4 9 12 13 12 11 10 9 9 9 9 10 11 13 16 16 15 12 10 8 7 8 9 10 10 10 9 9 10 9 9 10 10 10 10 9 9 11 16 23 27 29 29 28 26 24 22 20 17 15 14 12 11 11 12 12 12 12 12 10 6 1 -1 1 4 7 9 10 11 nan
nan 12 13 15 14 12 11 12 13 12 10 10 10 12 17 21 23 21 17 13 11 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 5 1 -0 1 5 9 12 12 12 11 10 9 9 9 9 10 11 11 12 12 12 11 9 7 7 7 8 9 10 9 9 9 9 10 10 10 10 10 10 9 9 11 16 22 28 33 33 30 28 26 23 20 18 16 14 12 11 11 11 10 10 10 9 7 3 -0 -1 1 5 7 9 9 10 nan
nan 12 13 13 12 11 11 12 13 13 12 13 13 14 16 16 16 14 12 11 10 10 10 9 8 8 8 8 8 9 9 9 10 10 10 9 9 8 7 5 3 3 4 6 9 11 11 11 10 10 10 9 9 10 10 11 11 10 10 10 10 9 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 11 10 9 11 15 19 27 32 31 29 28 27 26 22 19 16 13 12 12 11 9 9 8 8 6 4 1 -1 -0 2 5 7 9 9 9 nan
nan 13 14 12 11 11 12 13 13 13 13 13 14 13 13 12 11 11 11 11 10 10 10 9 8 8 8 8 8 9 9 9 10 10 9 9 9 9 8 7 6 6 6 7 8 9 10 10 11 10 10 10 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 11 12 17 22 25 25 25 25 26 26 23 19 15 14 13 12 10 8 7 7 6 4 3 1 1 1 3 5 7 9 9 9 nan
nan 13 12 11 10 10 12 13 13 13 13 13 13 12 11 10 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 10 10 10 9 9 10 10 10 11 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 15 18 19 20 22 22 23 22 19 17 15 14 13 12 9 8 7 6 4 3 3 2 2 3 4 5 7 8 9 10 nan
nan 11 10 10 9 10 11 12 13 12 12 12 11 11 10 10 9 10 10 10 11 12 12 13 13 13 12 11 10 10 9 9 9 9 9 8 9 9 9 9 8 7 6 6 6 7 8 9 10 10 10 10 9 9 9 9 10 11 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 12 13 15 16 19 21 20 20 18 16 15 14 13 13 12 10 9 7 6 5 4 3 2 3 4 5 5 6 8 9 10 nan
nan 10 9 9 10 10 11 11 12 11 11 11 11 11 10 10 10 10 10 10 11 12 13 14 14 14 13 12 11 11 10 9 9 8 7 6 6 7 7 7 7 6 5 5 5 6 7 8 9 10 10 9 8 8 8 9 9 10 10 11 11 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 16 19 20 20 19 17 15 14 13 13 13 11 10 10 9 8 7 6 3 2 3 4 5 6 6 8 10 11 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 11 10 9 9 8 7 6 5 5 5 5 5 5 5 5 5 6 6 7 8 8 9 9 8 8 7 7 8 8 8 8 9 10 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 10 11 11 13 16 18 19 20 20 17 16 14 13 13 12 11 11 12 13 12 11 6 2 1 2 3 5 6 8 9 10 10 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 12 12 13 12 12 11 10 10 9 9 9 8 8 8 7 6 4 4 4 4 4 6 7 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 10 11 12 12 11 10 10 9 9 9 9 9 10 10 9 9 10 10 10 9 10 11 12 14 15 16 18 20 20 18 16 14 13 13 12 12 14 15 15 15 11 5 2 1 1 2 4 7 9 10 10 10 nan
nan 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 13 12 11 11 11 11 12 12 12 12 11 10 10 10 10 10 11 11 10 9 8 6 5 5 5 6 7 8 9 10 10 9 9 9 9 9 8 8 8 7 7 7 8 8 9 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 12 13 14 15 17 19 19 19 17 14 13 13 12 13 15 15 15 12 8 4 2 1 1 2 3 5 8 9 10 10 nan
nan 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 12 11 11 10 9 8 8 8 9 10 10 11 11 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 11 12 12 13 14 16 17 18 18 17 15 14 13 13 14 14 14 13 10 7 5 4 3 3 2 3 4 5 7 9 10 nan
nan 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 13 13 12 11 11 11 11 12 13 13 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 13 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 11 12 12 12 12 12 12 11 11 11 10 10 9 10 10 11 12 13 14 15 16 18 18 17 17 15 14 14 14 14 13 12 11 10 9 8 7 6 5 4 4 4 5 6 8 nan
nan 9 9 9 10 10 10 10 10 10 10 11 11 11 12 13 13 13 12 11 11 11 12 14 14 15 15 16 15 15 15 15 14 14 14 15 15 15 14 14 15 15 15 15 14 13 11 10 9 8 8 8 9 9 9 10 10 11 10 9 9 8 6 6 7 8 10 11 12 12 12 12 12 12 11 11 10 10 9 8 8 9 10 12 13 14 14 16 17 18 18 17 15 15 15 14 14 14 13 13 12 11 10 9 9 8 7 6 5 5 5 7 nan
nan 10 9 10 10 11 11 11 10 10 10 11 12 12 13 13 13 13 12 11 11 12 13 15 15 16 16 16 16 16 16 16 16 17 17 18 18 17 16 16 16 16 16 16 15 14 12 11 9 7 6 6 7 9 10 11 12 11 11 10 9 7 6 6 7 9 11 11 12 11 11 11 11 12 11 10 10 9 8 8 8 8 10 11 12 13 14 16 16 17 18 17 16 16 16 15 15 14 14 13 11 11 11 11 11 10 9 8 7 7 6 6 nan
nan 10 10 10 11 11 11 11 11 11 11 12 13 14 14 14 13 12 11 11 12 12 13 14 15 15 16 16 16 16 16 17 18 18 19 20 19 18 17 16 16 16 16 15 14 13 12 11 9 8 7 7 8 9 10 11 11 11 11 11 9 8 7 7 8 10 11 11 11 11 11 11 11 11 11 10 9 8 8 8 8 9 10 10 11 13 15 15 15 16 17 17 17 17 16 15 15 15 14 12 11 12 12 12 12 11 11 10 9 9 8 7 nan
nan 12 11 11 11 11 11 11 12 12 13 14 14 15 14 13 12 11 11 11 12 13 13 13 13 14 14 15 15 15 15 16 17 17 18 19 18 18 17 16 15 14 14 14 13 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 10 9 8 9 10 11 12 12 11 11 11 11 11 11 11 10 9 8 9 8 8 9 9 10 11 13 14 14 15 16 16 17 17 16 16 15 15 15 14 13 12 13 13 13 13 13 12 11 11 10 9 9 nan
nan 14 13 12 12 11 11 11 12 13 14 14 14 14 13 11 11 11 12 12 13 13 13 12 12 12 13 13 14 14 14 14 14 15 15 15 15 15 15 14 14 13 13 13 13 12 12 12 12 12 13 13 12 11 10 10 10 10 11 11 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 11 12 13 13 15 15 15 16 16 15 15 15 14 13 13 13 13 14 15 14 14 14 13 13 13 12 11 10 nan
nan 15 14 13 13 12 11 11 12 12 13 13 13 13 12 11 11 11 12 12 13 13 13 12 12 12 12 12 13 13 13 13 13 13 12 12 12 13 13 13 13 14 14 14 14 13 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 12 12 13 12 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 11 11 12 13 14 14 14 15 15 15 15 14 13 12 13 13 14 15 15 15 15 15 14 14 14 13 12 11 nan
nan 16 15 15 14 13 11 11 11 11 12 12 12 12 12 11 11 12 12 13 13 13 13 12 12 12 12 12 12 13 13 13 12 12 11 11 12 12 12 13 13 15 15 15 14 13 12 12 13 14 14 14 15 15 15 14 13 11 10 10 10 11 12 12 12 12 13 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 12 14 14 15 15 15 13 12 12 12 13 13 14 14 15 15 15 15 15 14 14 13 12 nan
nan 16 16 15 14 12 11 10 10 11 11 12 12 12 12 11 12 12 12 13 13 13 13 12 12 12 12 12 12 13 13 13 12 11 11 11 11 12 12 12 13 15 15 15 14 13 13 14 15 15 16 16 16 16 16 14 11 10 9 9 9 10 11 11 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 11 12 12 11 11 11 11 11 12 13 14 15 16 15 13 12 12 11 12 12 12 14 15 15 15 15 14 14 14 13 13 nan
nan 15 16 15 14 12 11 10 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 13 12 11 11 10 10 11 11 11 12 13 14 14 13 13 13 14 15 16 16 16 16 16 15 14 13 11 10 10 9 9 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 14 16 16 14 13 12 11 11 11 11 11 13 14 14 14 14 14 14 14 13 13 nan
nan 14 14 14 13 12 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 12 12 12 12 12 12 13 15 16 16 16 16 16 15 14 13 12 11 11 11 11 11 11 11 13 14 13 13 11 11 11 11 12 12 12 11 11 11 11 10 11 11 11 12 13 13 12 11 10 10 11 12 14 15 15 14 13 11 10 10 10 10 11 12 12 13 14 14 14 14 14 13 13 nan
nan 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 11 11 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 12 13 14 14 14 15 16 17 17 16 13 12 11 12 12 13 13 14 16 17 17 16 14 11 10 10 10 11 11 11 11 11 11 10 11 11 11 12 12 12 12 11 11 11 10 11 12 14 15 14 13 11 10 10 9 9 9 10 10 11 13 13 14 14 14 14 13 13 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 14 17 19 20 18 15 13 11 10 11 12 13 15 17 19 19 18 16 12 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 13 15 15 14 12 10 10 10 9 9 9 9 9 11 12 12 13 14 15 15 14 13 nan
nan 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 15 17 20 20 19 16 14 11 9 9 10 10 11 13 14 16 17 16 14 12 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 16 16 16 15 12 11 11 10 9 9 9 9 10 10 11 11 13 14 15 15 15 14 nan
nan 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 13 13 15 16 18 18 18 17 14 12 10 8 7 6 5 6 7 11 14 15 14 13 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 14 15 16 16 15 14 13 11 10 10 10 10 10 10 10 10 11 13 14 15 16 15 15 nan
nan 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 14 14 15 16 17 18 17 15 13 11 9 7 4 3 2 3 5 8 11 13 15 15 14 13 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 14 15 15 14 13 11 10 10 10 9 9 10 10 10 11 12 13 15 16 16 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
1 1 1 0 1 2 1 1 3 5 7 8 7 6 5 3 2 2 2 1 0 0 0 0 0 1 2 3 3 3 2 2 1 1 0 0 0 1 1 4 4 5 7 12 22 34 33 29 28 27 40 81 128 157 156 131 110 82 54 31 16 11 11 13 14 12 11 12 14 15 14 12 11 8 5 4 6 7 6 13 34 78 126 148 155 153 147 144 142 153 181 224 284 333 378 416 450 492 568 662 776 892 986 1050 1083 1070 998 867 735 602 499 436 390
0 1 1 1 1 3 3 3 2 2 3 5 5 5 5 5 3 2 1 1 0 0 1 2 2 3 3 4 5 4 3 2 1 1 0 0 0 0 1 2 3 4 5 8 13 20 22 19 16 15 29 70 121 157 155 136 110 81 51 24 12 9 10 13 14 12 11 11 12 14 15 14 12 8 5 3 5 6 6 6 9 52 96 128 142 137 123 114 110 117 138 175 228 280 329 367 394 428 473 531 607 712 797 864 917 945 879 777 647 515 417 355 313
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