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 12 12 12 11 10 10 11 12 13 12 10 10 9 9 10 11 10 9 8 7 7 8 9 10 10 9 8 8 8 9 10 11 10 9 7 6 5 4 6 12 18 24 30 35 37 36 35 31 26 22 19 17 15 14 13 12 12 11 11 12 13 14 14 14 13 12 11 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 10 10 10 9 8 7 6 5 5 5 6 7 8 9 10 11 nan
nan 12 12 12 11 9 9 10 12 13 13 12 10 9 9 9 10 10 9 8 7 7 8 9 10 10 9 8 8 8 9 10 11 11 9 8 6 3 2 4 7 12 18 24 28 31 34 36 35 32 29 27 25 22 20 17 15 13 11 10 10 11 12 14 15 15 13 12 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 10 10 9 9 10 10 10 9 8 7 7 6 6 6 6 7 8 9 10 10 nan
nan 11 11 11 10 9 8 8 11 12 13 12 11 10 10 10 11 10 9 8 7 8 9 9 9 9 9 8 8 8 9 11 12 11 10 8 4 0 -0 1 5 9 14 18 21 23 26 30 31 31 30 30 29 27 25 23 21 18 15 13 11 10 11 13 15 15 15 14 11 8 7 7 8 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 8 9 10 10 10 nan
nan 10 10 11 10 10 9 9 10 12 13 12 11 11 12 13 13 12 11 10 10 10 10 10 10 9 8 8 8 9 11 12 12 11 10 7 3 -0 -1 1 5 10 13 14 15 16 19 22 23 24 25 25 25 25 26 26 25 23 21 19 16 14 13 13 14 15 16 15 13 10 8 6 7 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 8 8 7 8 9 10 10 10 10 nan
nan 10 11 11 11 11 11 12 12 13 13 12 12 13 14 15 14 13 12 11 11 12 11 10 10 9 9 8 8 10 12 13 12 11 9 6 3 1 1 2 7 11 13 14 13 13 15 16 16 17 18 18 18 19 21 22 23 23 23 23 22 21 19 17 16 16 16 16 15 13 10 7 6 6 7 8 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 10 10 9 9 9 9 8 8 9 10 10 10 9 nan
nan 11 11 12 12 13 13 14 14 14 13 13 13 14 15 15 14 13 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 7 5 3 3 5 9 12 14 15 13 12 12 12 13 14 15 14 13 14 15 16 17 18 20 22 24 25 24 23 20 18 17 16 16 15 13 10 8 7 6 7 8 9 10 10 10 11 11 11 11 10 10 10 10 10 9 10 10 10 9 9 10 11 10 10 9 10 10 10 10 10 10 10 10 10 9 9 nan
nan 13 13 12 13 14 15 16 15 15 14 13 13 13 14 14 14 13 12 12 11 11 11 10 10 10 11 11 11 10 10 11 13 14 12 10 8 5 5 7 10 13 15 16 14 12 11 10 12 13 13 12 12 11 11 11 12 13 14 17 21 24 26 26 25 21 19 17 16 15 14 13 12 10 9 8 8 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 10 9 9 nan
nan 14 14 14 15 16 17 17 17 15 14 13 12 12 13 14 14 13 13 12 12 12 12 12 11 11 11 11 10 10 11 13 15 16 15 13 10 7 6 7 9 12 14 15 14 13 11 10 11 12 12 12 12 11 10 10 10 10 10 12 15 18 22 25 25 24 22 19 16 15 15 15 15 14 13 12 11 10 11 11 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 12 13 13 12 10 10 nan
nan 14 14 16 17 19 19 18 16 14 12 12 13 14 15 14 14 13 12 12 13 14 14 14 13 12 11 10 10 10 12 15 17 16 15 13 10 8 7 7 8 10 12 12 12 12 11 10 11 11 11 12 12 11 10 10 9 9 9 10 11 13 17 20 22 23 23 21 19 17 16 15 15 15 15 14 14 13 13 12 12 11 11 11 11 11 10 9 9 9 9 9 10 10 10 9 10 11 11 11 11 11 11 10 11 11 13 14 14 13 12 11 nan
nan 12 13 15 17 19 18 16 12 9 8 11 14 16 16 16 15 14 13 12 13 14 15 16 16 14 13 11 9 9 12 14 15 15 14 12 10 9 8 7 7 8 9 11 11 11 11 10 10 11 12 12 11 10 10 9 9 9 9 10 9 10 12 14 16 19 21 22 21 20 18 16 15 14 14 14 14 15 15 14 13 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 13 14 14 13 12 11 nan
nan 10 11 12 15 17 16 12 7 3 4 9 13 16 16 16 15 15 14 13 13 13 15 15 16 15 14 12 11 10 11 12 14 13 12 11 10 9 7 7 7 8 10 11 12 12 11 10 10 11 12 12 11 10 10 9 9 9 10 10 9 9 9 10 11 14 16 18 20 21 19 18 17 15 14 13 13 13 14 14 13 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 13 14 14 14 13 12 nan
nan 10 10 10 12 12 12 10 6 3 4 7 11 14 15 15 15 14 13 12 13 13 13 13 13 14 14 13 12 11 11 12 13 13 12 11 10 8 7 7 7 9 11 12 12 12 11 10 10 11 12 12 13 13 12 10 9 9 9 9 9 9 8 8 8 9 11 13 16 18 18 19 19 18 16 14 13 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 12 12 12 12 13 14 15 14 13 12 nan
nan 11 10 9 10 10 9 9 8 8 8 8 10 11 12 13 13 12 11 11 12 12 12 11 11 11 12 12 11 10 10 11 12 13 12 11 10 8 7 7 8 9 10 11 11 10 10 9 9 10 11 12 14 15 14 12 10 9 9 9 9 9 8 8 8 8 8 10 12 14 16 18 19 19 19 18 16 14 12 12 12 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 13 13 13 14 15 14 14 12 nan
nan 12 11 10 9 9 9 9 10 11 11 10 10 10 10 10 10 9 8 9 10 11 11 10 10 9 10 10 9 9 9 10 12 12 12 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 9 10 13 14 14 13 11 10 9 9 9 9 9 8 8 7 7 8 10 11 13 15 16 18 19 20 20 19 17 15 13 13 13 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 14 14 15 14 14 12 nan
nan 12 11 10 9 8 8 9 10 11 11 10 9 9 9 9 8 7 7 8 9 10 10 10 9 9 8 8 8 8 9 10 12 13 13 12 11 10 9 9 9 9 9 8 7 7 7 7 7 7 8 9 10 11 11 12 12 11 11 11 11 10 10 8 6 5 5 9 11 11 11 11 13 15 17 20 21 21 20 18 15 13 13 13 13 13 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 11 12 13 13 13 13 14 14 14 13 12 nan
nan 11 10 10 9 8 8 8 9 10 10 10 9 9 9 9 8 8 7 8 9 10 10 10 9 8 8 8 9 9 10 11 13 14 13 12 11 10 9 9 9 9 9 9 8 8 7 8 8 8 8 8 9 9 9 10 11 11 12 13 12 11 9 8 5 4 7 11 14 13 11 10 10 12 14 16 18 20 20 19 17 15 14 13 12 12 12 12 13 13 12 11 10 10 10 9 9 9 9 9 10 11 12 12 12 12 13 13 13 13 12 12 nan
nan 10 10 9 8 8 8 8 9 10 10 9 8 8 9 9 9 8 8 8 9 10 10 10 10 9 8 9 10 11 13 14 14 14 13 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 12 13 12 10 10 8 7 7 9 13 14 13 11 9 9 10 11 12 13 15 17 17 17 16 15 14 13 11 11 12 12 13 13 13 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 nan
nan 9 9 8 8 7 7 7 8 9 9 8 8 8 9 10 9 8 8 9 10 11 11 11 10 9 10 11 12 14 15 16 16 14 12 10 10 10 10 11 10 10 9 9 9 8 7 7 8 9 10 10 10 9 9 9 9 9 10 11 10 10 10 10 9 9 9 11 12 11 10 10 10 11 10 10 9 10 11 13 14 15 16 17 16 14 12 11 10 11 12 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 nan
nan 9 8 7 7 6 6 6 7 8 8 8 9 10 11 10 9 8 9 10 11 11 11 10 10 10 11 12 14 15 17 17 17 14 11 9 10 10 11 12 11 11 10 9 8 7 6 6 7 9 10 11 11 10 10 9 9 9 9 9 9 10 11 11 10 9 9 10 11 12 13 14 15 15 13 10 8 7 8 10 11 13 16 18 20 19 16 13 11 9 9 10 11 12 12 12 13 12 12 12 12 12 13 13 12 12 12 12 12 11 11 11 nan
nan 8 7 6 6 6 6 7 7 8 8 9 11 11 11 9 8 9 10 11 11 10 10 10 10 10 11 12 14 15 16 17 16 14 11 10 9 10 12 13 12 12 11 9 7 6 6 6 8 10 11 11 12 11 10 9 9 9 9 9 9 10 10 11 11 11 11 13 14 16 17 19 19 18 15 11 8 8 8 8 9 11 14 18 22 24 23 20 16 11 8 7 8 9 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 7 5 5 6 7 8 9 9 9 9 11 12 11 9 7 8 10 11 11 11 10 10 10 10 10 11 11 12 12 13 15 15 13 11 9 8 8 11 12 13 13 12 10 8 7 6 6 8 10 11 12 12 12 10 10 9 9 9 9 10 10 10 11 11 12 14 16 17 17 17 18 19 17 14 11 9 9 9 8 9 10 13 17 22 26 29 28 23 17 11 7 7 8 9 10 12 12 13 12 12 13 12 12 12 12 11 11 11 11 11 11 nan
nan 7 7 7 8 9 9 10 11 11 11 10 11 10 8 7 8 10 11 11 11 10 9 10 10 10 9 8 8 9 10 12 13 12 10 7 5 6 9 11 13 14 12 11 9 8 7 7 9 10 12 14 13 12 11 10 10 10 10 11 11 11 11 10 11 13 16 18 18 16 15 15 15 15 13 11 10 10 9 9 10 10 12 14 19 24 28 29 26 20 13 9 8 8 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 nan
nan 9 10 10 9 8 8 9 11 11 10 8 9 9 9 8 9 9 11 11 10 9 9 9 9 8 7 6 7 7 8 9 10 9 8 5 3 4 7 10 13 14 13 11 9 8 7 8 9 11 14 15 14 14 12 11 11 10 11 12 13 13 13 12 12 15 18 18 17 14 12 12 13 13 12 11 10 10 10 10 10 11 12 13 15 19 22 22 20 17 14 11 11 12 13 14 14 13 12 10 10 10 10 11 11 11 10 10 10 11 12 12 nan
nan 10 10 9 8 7 7 9 10 9 7 7 8 9 9 9 9 9 10 10 11 11 11 11 10 8 7 7 8 9 9 8 7 7 5 3 2 3 6 10 13 14 13 11 9 8 8 9 10 12 14 15 15 14 13 11 10 10 11 12 13 13 14 14 15 17 18 17 15 12 11 11 11 12 12 11 10 10 10 11 11 12 12 12 13 14 15 15 14 13 13 14 15 17 19 21 22 20 17 14 11 9 9 10 10 10 10 10 11 11 13 14 nan
nan 9 9 8 7 7 8 9 9 8 7 7 8 8 9 8 8 8 9 10 12 13 13 12 11 10 10 10 11 11 10 8 7 5 3 1 1 3 7 11 13 14 13 11 10 9 9 9 10 12 13 14 15 14 12 11 10 9 11 11 12 12 13 14 15 16 16 15 13 11 10 10 10 11 11 11 10 10 11 11 12 12 12 12 12 12 13 13 13 14 14 15 17 20 24 28 31 31 28 24 18 13 11 11 11 11 11 12 13 14 15 16 nan
nan 9 9 9 10 11 11 11 8 7 7 7 8 8 8 8 8 8 10 13 15 15 13 11 10 10 10 11 11 11 10 7 5 2 1 1 2 5 8 11 13 14 13 11 10 9 9 9 9 11 12 13 13 12 11 10 9 9 10 11 11 12 12 13 13 13 14 14 13 11 10 10 10 10 11 11 10 10 10 11 11 12 12 12 12 13 13 14 14 15 15 16 18 21 26 32 36 38 38 35 29 21 17 16 16 15 15 16 17 18 19 19 nan
nan 10 10 11 13 13 12 9 7 6 7 8 9 9 9 9 9 10 13 15 14 12 9 8 8 9 9 9 10 9 8 5 2 1 1 3 6 8 10 12 14 14 12 10 10 9 9 9 9 10 11 13 13 12 11 9 9 9 10 10 10 11 12 12 12 14 16 16 14 12 10 10 10 11 11 10 10 10 10 10 11 11 12 12 12 13 14 15 15 15 16 17 19 21 25 30 35 38 38 38 35 31 27 25 24 23 22 22 23 23 22 22 nan
nan 10 11 12 12 12 10 7 6 7 8 9 10 10 10 10 10 12 13 13 11 8 7 7 8 9 9 9 9 7 5 3 2 2 5 8 10 11 11 13 14 14 12 10 10 9 9 9 9 10 12 13 12 12 10 9 9 9 10 10 10 11 11 12 15 18 20 19 16 13 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 14 16 17 17 18 19 20 21 23 27 30 33 34 35 35 35 34 33 31 29 28 27 26 25 24 22 nan
nan 10 11 12 11 11 9 7 8 9 10 11 11 11 11 11 11 13 13 12 10 9 9 10 10 10 10 9 8 7 6 6 7 8 11 12 12 12 12 12 13 13 12 11 10 9 9 9 8 10 12 13 13 11 9 9 9 9 10 11 11 11 11 13 17 21 22 21 16 13 12 11 12 12 11 10 10 9 9 10 10 11 12 13 14 15 16 18 19 20 21 21 21 21 22 24 25 27 29 30 31 33 34 34 32 31 29 28 26 24 23 21 nan
nan 11 12 12 11 10 9 9 10 11 12 13 13 12 12 11 12 14 14 14 13 13 13 13 13 12 11 11 10 9 10 11 14 16 17 17 15 13 11 11 12 12 13 12 11 10 10 9 9 10 12 13 13 11 9 9 9 9 11 11 11 11 11 14 17 21 23 21 17 14 13 12 12 11 11 11 10 10 11 11 12 13 14 15 16 18 19 19 20 21 21 21 21 20 20 21 21 21 22 24 26 28 29 29 28 27 27 26 24 23 21 19 nan
nan 12 11 11 10 10 9 10 12 12 13 14 14 14 12 12 13 15 17 18 17 17 17 17 16 14 13 13 12 13 14 15 17 19 20 19 16 13 10 10 11 12 14 13 12 11 10 9 9 11 12 13 12 10 9 8 9 10 11 12 12 11 12 13 16 19 21 21 19 17 15 13 12 12 12 12 12 13 13 14 15 16 17 18 18 19 20 20 21 21 21 20 19 18 18 17 17 17 18 18 20 22 22 22 23 23 22 22 21 20 18 17 nan
nan 11 9 8 8 8 9 11 12 12 13 14 15 15 14 14 15 17 18 20 20 20 20 20 19 17 16 14 13 13 14 15 16 17 17 16 14 11 9 9 10 12 14 14 13 12 10 9 10 10 12 13 11 10 9 8 9 11 11 12 12 12 12 13 14 18 21 22 21 20 17 15 14 14 14 15 15 16 16 17 17 18 18 19 19 19 20 20 20 19 19 18 17 16 15 14 14 14 14 14 15 16 17 17 18 18 18 18 18 17 16 15 nan
nan 9 7 6 7 8 10 12 12 12 12 13 16 17 17 17 17 17 18 19 20 21 22 21 19 18 16 15 13 13 13 13 13 14 14 13 11 9 7 8 9 12 14 14 13 12 10 10 9 10 12 12 11 11 10 10 10 11 11 12 12 12 12 12 14 17 20 22 24 22 20 18 17 17 17 17 18 18 18 18 19 19 19 19 19 19 19 19 18 17 16 15 14 14 13 12 12 12 11 11 12 13 13 14 14 14 15 15 14 12 12 12 nan
nan 9 8 8 9 10 11 12 12 12 12 12 15 18 18 18 18 18 19 19 19 19 20 18 17 16 15 15 14 13 13 12 12 12 12 11 9 8 7 7 9 11 12 13 13 12 11 10 9 10 11 12 12 11 10 10 10 10 11 11 10 11 11 12 14 16 18 21 24 25 24 22 21 19 19 19 19 19 19 19 19 19 19 19 19 18 18 17 16 15 14 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 9 5 1 -0 1 nan
nan 10 10 11 11 11 11 12 12 12 12 12 13 15 16 18 20 22 22 20 18 16 15 13 13 13 15 16 16 15 13 12 11 11 11 10 9 8 8 8 9 10 11 12 12 12 11 10 9 10 12 12 11 10 9 9 9 10 10 10 10 10 11 12 13 14 16 20 23 25 26 26 23 21 21 21 21 20 20 20 19 19 18 18 18 17 17 15 14 13 12 12 11 10 10 9 9 8 8 8 8 8 8 8 7 5 2 -1 -6 -9 -12 -12 nan
nan 10 10 10 11 11 11 11 11 12 11 11 11 12 14 18 23 25 24 21 16 14 11 10 9 12 14 15 16 14 12 11 11 11 10 9 9 9 9 9 9 9 10 11 12 12 12 10 10 11 12 12 10 8 8 8 8 9 10 10 10 10 10 11 12 13 16 19 21 22 23 23 21 20 20 21 21 21 21 20 19 18 18 17 17 16 15 14 13 12 11 10 10 9 8 8 8 7 7 7 6 6 5 3 0 -4 -8 -11 -12 -11 -11 -11 nan
nan 8 8 9 10 10 10 11 12 12 10 9 9 11 13 18 22 24 22 19 15 12 10 9 10 12 13 14 14 13 11 11 11 11 10 9 9 10 10 10 9 9 9 11 12 13 12 11 11 11 12 11 9 7 7 7 7 8 9 9 9 10 10 11 12 13 15 16 17 17 16 14 13 13 15 17 18 19 20 19 18 17 17 16 15 14 13 12 12 10 10 9 9 8 8 7 7 6 6 5 4 3 1 -2 -7 -11 -13 -12 -8 -5 -1 -0 nan
nan 7 8 9 11 12 12 13 13 11 7 5 7 10 13 16 19 21 20 17 14 12 10 11 12 13 13 13 13 12 11 11 11 10 10 10 11 11 11 10 9 8 8 10 12 13 12 11 11 12 12 10 8 6 6 6 6 6 6 7 8 9 10 11 12 14 14 14 14 13 11 8 6 7 9 10 11 11 13 15 16 17 16 15 14 13 12 11 10 10 9 9 8 7 7 6 6 5 4 3 2 -0 -2 -5 -8 -11 -9 -5 -1 3 5 6 nan
nan 8 9 11 13 14 14 14 14 10 4 2 4 8 12 16 19 20 18 16 14 13 12 13 13 13 13 13 12 11 11 10 10 10 11 11 12 12 11 9 8 7 8 10 12 13 13 11 11 12 11 9 8 7 6 6 6 5 5 5 7 8 9 12 13 14 14 14 14 13 11 9 8 8 7 6 4 4 7 11 14 16 15 14 13 12 11 10 9 9 9 8 7 6 6 5 4 3 2 1 -0 -1 -2 -3 -4 -4 -2 1 5 7 7 7 nan
nan 10 11 12 14 14 13 13 13 9 4 3 4 7 13 17 20 19 16 14 13 14 13 13 12 12 12 12 12 11 10 10 10 10 11 11 12 12 10 9 8 7 7 10 12 13 12 11 11 11 10 9 8 8 8 8 7 6 5 5 6 7 8 11 13 14 14 14 14 13 13 13 13 12 10 8 6 6 7 9 11 12 12 12 12 10 8 7 7 8 8 7 6 5 5 4 3 2 1 0 0 -0 0 0 -1 0 2 5 7 8 8 8 nan
nan 12 12 13 13 13 13 13 13 10 8 6 7 9 14 17 17 15 13 12 13 14 13 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 8 6 5 7 9 12 13 12 11 10 10 9 9 9 10 11 11 10 9 8 7 6 6 8 11 12 13 14 14 13 13 14 15 14 14 13 12 11 10 9 7 8 6 4 3 2 2 1 2 4 6 7 7 6 5 4 4 3 3 2 2 2 2 3 2 1 2 4 6 8 8 8 9 nan
nan 13 14 14 13 13 13 14 13 12 11 10 10 12 14 14 13 11 11 12 13 13 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 9 7 5 5 6 9 12 13 13 12 10 10 10 10 11 12 13 14 14 12 11 9 8 8 9 10 11 13 13 13 12 13 14 14 14 14 14 13 13 11 9 7 4 -1 -5 -8 -10 -8 -6 -3 1 4 5 5 4 4 4 5 4 4 3 3 4 4 4 4 4 5 7 8 9 9 8 9 nan
nan 14 15 14 13 13 13 14 13 12 12 11 13 13 13 13 11 10 10 11 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 8 7 5 5 6 9 13 13 13 12 11 11 11 12 13 14 15 15 14 13 12 10 9 9 9 9 10 12 12 12 12 12 13 13 14 14 14 12 12 10 8 6 1 -3 -6 -8 -8 -6 -4 -2 -2 -2 -3 -3 -1 0 2 4 5 5 5 5 5 6 6 7 8 9 10 10 10 9 9 8 nan
nan 14 14 13 12 12 12 13 13 12 12 12 12 13 12 11 10 9 10 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 8 6 6 6 8 11 13 14 14 13 12 12 12 13 13 14 14 14 13 12 11 11 10 10 9 9 10 10 11 11 12 12 12 13 13 14 13 12 10 8 7 6 4 2 1 1 2 2 2 1 -2 -6 -9 -8 -6 -4 -3 0 3 4 6 6 7 7 8 9 10 11 11 11 10 10 9 9 nan
nan 12 12 12 11 11 12 12 12 12 12 12 12 11 10 9 9 8 9 10 11 12 13 13 13 13 14 14 14 12 11 10 10 9 9 9 9 8 7 6 6 7 9 11 13 14 14 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 12 13 13 12 12 10 8 8 7 7 7 7 8 7 6 5 3 1 -2 -4 -4 -4 -5 -5 -4 -2 0 4 6 8 9 10 10 10 11 12 12 12 12 11 11 nan
nan 10 11 11 11 11 12 12 12 12 12 11 11 10 9 8 8 8 9 11 13 14 14 12 12 13 15 16 15 13 11 9 9 8 7 7 7 7 7 6 5 6 9 11 13 14 14 14 14 14 14 13 13 12 11 10 10 11 11 11 11 12 12 13 13 12 11 11 11 12 12 13 13 13 13 12 11 10 9 9 9 9 9 9 8 7 7 6 5 5 5 4 2 0 -1 -3 -4 -1 3 7 10 11 11 11 12 12 13 14 15 16 16 15 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 8 11 13 14 14 12 10 11 13 15 16 14 12 10 9 8 8 7 8 8 8 7 6 5 6 8 11 13 15 15 15 15 15 14 13 13 12 11 10 10 11 11 11 12 13 13 13 12 12 11 11 11 11 12 13 13 14 14 13 12 11 10 10 10 10 10 10 8 8 8 8 8 8 8 8 7 7 5 3 3 5 7 10 10 10 10 10 12 13 14 16 18 19 19 17 nan
nan 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 10 12 14 14 12 10 10 11 13 14 13 12 10 9 9 10 10 10 11 11 10 8 7 6 7 9 12 15 16 17 17 16 15 15 14 13 12 11 11 11 11 11 12 12 12 12 11 11 10 9 9 10 11 12 13 13 14 13 13 12 11 11 10 10 11 11 10 9 9 8 8 8 9 9 9 9 9 8 8 9 9 7 4 1 -0 1 3 6 9 12 15 17 17 18 18 nan
nan 10 9 9 10 10 11 11 10 10 10 10 11 10 10 9 8 10 12 13 13 11 10 11 12 13 13 12 11 11 11 12 12 13 13 14 14 12 10 8 8 9 11 13 15 17 18 17 16 15 15 15 15 13 13 12 12 11 12 12 11 10 10 10 9 8 8 9 9 11 11 12 13 13 12 11 11 11 11 11 11 11 11 10 10 9 9 8 9 9 9 9 9 9 8 9 8 6 0 -6 -10 -10 -9 -7 -4 -0 3 6 8 10 13 17 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 10 10 8 8 9 11 12 13 12 12 12 13 13 13 13 13 13 13 13 13 14 15 16 16 14 12 11 10 11 12 13 15 16 18 18 17 16 15 16 15 15 14 13 12 11 11 10 9 9 9 8 8 8 8 9 10 11 11 12 12 12 11 11 11 11 11 11 12 12 12 11 10 9 9 9 9 9 9 9 8 8 7 7 5 2 -2 -6 -8 -8 -8 -8 -7 -7 -7 -6 -4 -0 5 10 nan
nan 9 10 10 11 10 10 10 10 10 10 10 10 9 9 8 9 10 12 14 14 14 14 14 14 14 14 14 15 15 14 14 13 13 14 16 17 16 14 12 11 11 12 13 14 16 17 18 17 16 16 16 16 15 14 13 12 11 10 8 7 8 8 8 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 9 9 9 8 8 8 7 7 6 5 4 2 2 2 2 1 -1 -2 -5 -8 -9 -8 -6 -4 -1 nan
nan 9 10 11 11 10 10 10 10 10 9 9 9 9 9 10 12 13 15 16 16 15 15 15 15 15 15 15 16 16 16 15 14 13 14 15 17 17 16 14 11 11 12 12 13 15 16 17 17 17 16 16 15 15 14 13 12 11 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 5 4 2 0 -2 -2 -3 -6 -7 nan
nan 9 10 10 11 11 11 11 10 9 9 9 10 11 12 14 15 16 16 16 15 15 15 15 15 14 15 16 17 18 19 17 15 13 13 13 15 17 16 15 12 11 11 12 13 14 15 16 17 17 16 15 15 15 14 14 13 12 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 6 5 3 1 -2 nan
nan 10 10 10 11 11 11 11 11 10 10 11 12 14 15 15 15 15 14 14 13 13 14 14 14 13 14 16 18 19 20 18 16 13 11 10 12 14 15 15 14 12 11 12 12 13 14 15 16 16 16 16 16 16 16 16 14 13 13 13 12 12 11 10 10 10 10 10 9 9 9 10 10 10 11 10 10 10 10 10 10 11 12 12 11 11 11 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 6 5 nan
nan 10 10 11 11 11 12 12 12 12 12 13 14 15 15 14 13 12 12 12 12 12 13 13 13 12 13 15 16 18 19 17 15 13 10 9 9 10 12 13 13 13 12 11 11 12 13 15 15 16 16 17 18 18 19 18 16 15 14 13 13 12 11 11 10 10 10 9 8 8 8 9 10 11 11 10 10 10 10 10 10 11 11 11 12 12 11 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 10 11 11 12 12 12 12 13 13 14 15 14 14 12 11 11 11 12 12 12 12 12 12 12 12 13 14 15 16 16 16 15 13 11 9 9 9 9 11 12 12 12 11 11 12 13 14 15 16 17 18 19 19 20 19 17 16 15 13 13 12 11 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 9 8 8 9 9 10 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 10 10 9 9 9 nan
nan 11 11 12 12 12 12 12 13 14 14 14 13 12 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 15 15 15 14 13 11 11 10 9 9 9 10 11 11 11 11 12 13 14 15 16 17 18 19 20 21 19 18 16 13 12 12 11 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 9 9 10 10 10 10 10 11 11 nan
nan 11 11 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 12 13 13 13 12 12 12 12 14 15 15 15 15 13 12 12 11 11 10 9 9 9 9 9 9 9 11 12 14 15 16 17 18 19 21 21 19 18 14 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 11 10 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 nan
nan 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 12 12 12 12 14 15 16 16 15 13 12 12 11 11 11 10 9 8 8 8 7 8 9 11 12 13 14 16 19 21 22 21 19 17 14 12 12 10 9 10 11 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 12 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 nan
nan 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 13 14 15 16 15 14 13 12 11 11 11 11 10 9 8 8 7 7 8 10 11 11 13 16 19 22 22 21 20 17 15 13 13 11 11 11 11 10 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 11 9 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 nan
nan 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 14 14 14 13 13 12 12 11 11 11 11 10 10 9 8 7 7 9 9 9 10 14 18 21 23 23 22 19 17 16 15 14 13 13 11 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 10 8 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 10 10 10 9 8 8 8 8 8 7 8 10 13 17 21 23 22 21 20 19 18 16 15 13 11 10 10 9 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 9 8 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 8 7 7 7 9 11 15 17 18 19 19 19 18 17 16 15 15 14 13 11 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 11 10 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 12 12 13 13 12 11 10 10 9 9 9 9 9 9 8 8 8 8 9 10 11 12 13 13 14 14 15 15 15 15 17 18 15 12 10 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 9 9 10 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 13 13 12 12 12 11 11 11 11 12 13 13 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 10 14 18 18 17 15 11 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 nan
nan 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 9 10 10 10 10 11 10 10 9 9 8 7 7 6 5 5 4 5 9 12 14 18 20 17 16 14 11 10 10 11 11 11 10 10 10 9 9 9 10 10 11 10 10 10 11 12 13 13 12 11 10 9 9 10 9 9 9 9 9 10 10 10 10 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 0 0 0 0 0 1 4 10 14 16 15 13 12 13 18 22 26 34 52 87 158 207 224 217 211 215 254 315 382 443 495 548 611 655 675 719 726 675 631 639 681 781 802 800 808 822 835 851 841 818 797 788 784 788 790 783 769 734 701 676 659 651 643 637 638 648 665 689 743 799 856 919 1009 1106 1175 1203 1205 1245 1364 1448 1502 1523 1458 1404 1311 1179 1032 923
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23 18 13 8 6 6 5 5 4 3 1 0 0 0 2 4 5 6 6 5 4 5 5 4 2 1 0 0 0 0 0 2 9 29 38 41 36 26 17 10 7 5 6 8 8 7 8 10 14 9 6 3 2 5 8 9 11 13 15 32 48 57 61 63 64 137 240 369 510 544 583 594 588 579 655 654 611 539 474 537 537 524 508 497 519 532 527 507 485 482 488 495 510 537 581 630 672 721 787 877 931 957 965 967 976 969 943 900 850 807 792 781 775
40 33 25 17 12 9 7 5 3 2 1 2 2 5 10 15 18 19 16 11 7 5 4 4 3 2 1 0 0 0 0 1 8 21 31 35 31 23 17 12 8 5 6 7 7 6 6 6 10 11 11 8 3 5 6 6 6 5 3 7 11 17 20 23 22 57 143 289 465 492 500 499 496 455 542 602 611 551 395 417 445 458 447 409 418 430 445 451 428 429 436 444 452 476 531 584 634 681 734 817 883 916 919 901 904 901 873 822 777 758 768 777 776
38 31 25 20 15 14 12 8 5 3 3 6 11 16 20 24 27 29 26 19 14 10 7 5 4 3 2 0 0 0 1 3 9 18 26 32 30 24 18 13 9 6 6 7 6 5 6 4 5 8 10 11 9 8 8 6 5 3 2 1 0 1 3 5 7 16 45 140 297 377 400 383 376 341 353 396 443 435 316 273 282 329 370 346 331 327 338 370 367 374 388 401 399 432 485 541 592 635 690 758 817 850 838 825 837 843 827 781 747 747 770 788 774
18 15 12 11 11 15 17 16 13 11 8 7 7 9 13 16 21 28 31 29 25 19 13 8 5 4 2 1 1 2 6 9 13 19 26 33 32 28 20 14 9 7 6 5 5 4 4 3 3 3 6 8 9 10 10 8 7 6 4 2 0 0 0 2 3 5 9 43 109 183 247 262 259 234 209 200 234 224 188 151 133 190 249 274 284 284 281 296 309 321 330 348 362 391 432 482 539 594 652 696 721 752 768 776 786 804 797 768 737 731 755 761 747
8 7 7 8 11 14 16 16 13 8 4 3 4 4 4 5 11 19 28 33 27 21 16 10 5 2 2 3 5 9 16 19 21 24 29 32 30 26 20 14 9 7 6 5 5 4 3 3 3 2 3 5 6 8 9 8 8 7 6 5 3 2 2 2 2 3 10 23 33 44 89 129 158 174 167 138 136 122 107 94 80 113 146 177 207 220 229 245 263 276 282 300 321 344 377 426 485 546 598 625 633 676 710 734 762 771 754 741 728 712 720 718 701
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