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 6 6 7 9 10 10 10 10 11 11 11 10 10 10 11 10 9 8 7 7 8 8 8 9 10 10 10 9 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 11 11 10 10 10 10 10 11 10 10 9 9 10 10 11 12 13 14 15 16 17 17 17 17 18 17 16 15 13 12 10 9 8 8 8 9 10 11 11 12 13 14 15 16 17 18 17 16 15 13 10 9 8 8 8 9 nan
nan 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 10 11 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 9 9 9 10 10 10 9 9 10 10 11 12 13 13 14 16 17 18 18 18 18 18 18 17 16 14 12 11 10 9 8 7 8 9 10 10 11 12 13 13 14 16 17 18 19 19 17 15 13 11 10 9 10 nan
nan 11 11 10 10 10 11 10 9 9 10 11 11 11 11 11 10 9 9 8 9 10 9 9 9 10 10 10 10 9 8 8 9 10 10 10 10 11 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 11 11 12 13 14 15 16 17 18 18 18 18 18 18 17 16 15 13 12 11 9 8 7 7 7 8 9 10 11 12 12 13 13 15 17 18 19 19 18 17 14 12 11 11 nan
nan 10 10 10 10 11 12 11 10 10 11 11 12 13 12 12 11 10 9 9 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 11 10 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 9 8 9 9 9 9 9 9 10 11 12 13 13 14 15 16 17 18 18 19 18 18 18 17 16 15 14 13 12 10 9 8 7 7 7 7 8 9 11 11 11 11 12 14 15 16 17 18 18 17 15 14 12 nan
nan 10 10 10 10 11 12 11 11 12 12 13 13 13 13 11 10 9 9 10 11 12 11 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 11 11 11 11 12 12 13 14 14 13 13 13 13 12 12 12 12 11 10 9 9 9 9 9 9 8 9 10 11 12 13 14 14 15 16 17 18 18 18 18 18 17 16 16 15 14 14 13 12 10 9 8 7 6 6 6 8 9 10 10 10 11 12 12 13 15 16 17 18 18 16 14 nan
nan 10 10 10 10 10 11 11 12 12 13 13 13 13 11 10 9 9 10 10 11 11 10 9 9 10 11 11 11 11 11 10 10 11 10 9 7 5 6 9 12 13 13 14 14 15 16 17 17 16 16 15 15 15 14 13 12 11 10 9 9 9 9 9 9 9 9 10 11 13 13 14 15 15 16 17 18 18 18 18 17 16 16 16 15 15 14 14 13 12 10 8 7 7 6 6 7 8 9 9 10 10 11 12 12 13 15 16 17 17 17 16 nan
nan 11 10 9 9 10 11 11 11 12 12 12 11 10 9 8 9 10 11 11 11 10 9 8 9 10 10 11 11 11 11 11 12 13 11 9 7 7 11 14 16 17 17 18 18 18 19 20 21 20 19 19 19 18 16 15 13 12 10 10 9 9 9 10 10 10 10 11 12 13 13 14 15 16 17 18 19 19 19 18 17 17 16 16 16 15 15 15 14 13 11 9 8 7 6 6 6 7 8 9 9 10 11 12 13 13 14 14 16 16 15 15 nan
nan 10 9 9 9 10 10 11 10 10 10 9 9 8 8 8 9 11 12 12 12 11 9 8 8 9 9 9 10 12 13 13 14 13 12 11 12 15 19 21 23 23 23 22 22 22 23 25 25 25 23 22 21 20 18 16 14 12 11 10 10 10 11 11 11 11 10 11 12 13 13 14 15 16 17 18 19 19 19 18 18 17 17 17 16 15 15 15 14 13 12 11 9 8 6 6 6 7 8 8 8 10 11 12 13 13 14 14 15 14 13 12 nan
nan 9 9 9 9 10 10 9 9 8 8 7 7 7 8 9 10 10 11 12 12 11 10 9 9 10 10 10 11 13 14 13 13 12 12 13 16 20 22 23 24 23 22 22 23 25 27 28 28 27 24 22 21 20 19 17 15 13 11 11 11 12 13 13 12 11 11 11 12 13 13 14 15 16 18 19 19 19 18 18 18 18 18 18 17 16 15 14 14 14 13 12 11 9 8 6 5 6 6 6 7 8 10 11 12 13 14 14 14 13 12 11 nan
nan 9 9 8 9 9 9 8 7 7 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 13 12 11 10 10 11 13 15 17 18 18 16 15 14 15 17 19 23 24 24 22 20 19 19 20 20 18 15 13 12 11 12 13 14 13 13 11 11 12 12 13 14 14 15 16 18 18 19 19 18 18 18 19 19 19 19 18 16 15 14 14 13 13 12 11 9 7 6 5 4 4 5 6 7 9 11 12 13 14 15 14 13 12 nan
nan 9 9 8 9 9 8 8 8 8 9 10 11 12 12 11 10 9 9 9 10 10 10 10 11 12 13 13 13 11 10 9 9 10 11 12 13 13 13 12 10 9 8 7 7 9 10 11 11 10 10 14 19 22 21 18 15 14 12 12 13 14 14 14 12 11 11 12 13 14 14 15 15 17 17 18 18 18 18 18 18 19 20 20 21 20 18 16 15 14 13 13 13 12 11 9 8 6 5 3 3 4 5 6 8 10 12 13 15 16 15 14 nan
nan 9 8 9 9 9 9 9 10 11 11 12 13 13 12 11 10 9 9 9 9 9 9 9 10 11 12 12 11 9 9 9 9 11 12 12 13 13 13 13 13 13 13 11 8 5 4 2 1 3 6 11 16 18 17 15 14 13 12 13 13 14 14 14 12 11 12 12 14 15 15 15 16 17 17 17 17 17 17 17 18 19 20 21 22 22 21 19 17 15 13 12 12 12 12 11 10 9 7 6 5 4 4 5 6 8 9 11 14 15 16 16 nan
nan 9 9 9 9 10 10 10 11 11 12 12 13 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 8 9 10 11 12 13 14 15 16 18 20 21 21 17 14 11 9 9 12 15 17 17 14 14 15 15 14 14 14 15 16 15 14 14 13 13 15 16 16 16 16 16 17 17 16 16 15 14 15 16 17 19 21 22 23 23 22 20 17 15 13 12 11 11 10 10 10 10 9 9 8 8 7 7 8 9 10 12 13 13 14 nan
nan 9 9 9 9 10 10 10 11 11 12 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 11 12 13 15 16 17 19 20 21 22 22 21 20 20 23 26 28 28 24 21 21 21 21 20 19 20 20 19 18 16 16 17 19 22 22 21 18 17 17 16 16 16 15 14 13 12 13 14 16 18 21 23 24 24 23 21 19 16 14 12 10 9 9 9 10 11 12 12 13 12 12 11 11 11 11 11 12 12 nan
nan 9 9 9 9 9 10 10 11 12 12 11 10 9 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 12 12 13 14 15 16 16 15 15 15 17 19 21 22 25 27 29 29 27 26 26 27 27 28 29 28 27 25 24 22 21 22 24 28 29 27 22 18 17 16 16 15 14 13 12 11 10 11 12 14 17 20 23 25 25 25 24 21 19 17 14 12 10 9 10 11 12 14 15 16 16 15 14 14 13 13 12 12 nan
nan 9 8 8 8 9 10 11 11 12 11 10 9 8 7 7 7 8 8 9 10 9 9 9 9 9 8 8 9 9 10 12 13 13 14 14 13 14 14 15 14 12 11 10 11 13 15 17 18 18 19 19 19 20 22 23 25 28 30 31 31 31 31 31 28 24 22 26 30 30 26 21 17 16 15 15 14 13 11 10 9 9 9 11 13 17 20 22 25 26 26 26 25 24 22 20 18 16 13 12 12 12 13 15 15 16 16 15 15 15 15 15 nan
nan 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 14 14 14 14 13 12 10 9 9 10 11 11 11 12 12 11 12 12 13 14 16 17 19 22 25 27 29 32 34 32 24 20 20 25 28 27 23 20 17 16 14 13 12 11 10 8 7 7 8 10 12 15 18 20 23 25 27 27 28 29 29 28 26 22 18 15 13 12 12 13 14 14 14 14 15 15 16 nan
nan 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 12 13 14 15 15 14 14 13 12 10 9 9 10 11 10 10 9 9 10 10 11 11 11 12 12 12 13 14 16 19 21 25 28 28 24 19 18 21 24 24 24 22 21 18 15 13 11 11 10 8 7 6 6 7 8 10 13 15 17 19 21 23 25 28 30 32 32 30 26 21 17 15 13 12 12 12 12 12 12 13 14 nan
nan 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 10 10 10 11 12 13 14 14 14 14 14 12 10 9 9 9 10 10 10 9 9 10 11 11 11 11 11 11 11 11 11 11 13 14 15 17 20 21 21 19 17 18 19 21 22 23 23 21 17 13 11 10 10 9 8 7 6 6 6 7 8 10 11 12 14 16 18 20 23 26 28 28 27 24 21 19 16 14 13 13 12 10 10 10 10 nan
nan 8 7 6 5 6 8 9 10 10 11 11 11 10 10 9 8 8 9 9 9 9 8 9 9 9 10 10 9 10 10 11 12 13 13 13 13 11 9 8 8 9 10 10 10 9 10 10 11 11 12 12 12 11 11 11 11 11 11 12 13 13 14 15 16 17 17 17 18 18 18 19 21 23 21 18 14 12 11 10 10 9 8 7 6 6 6 6 7 7 8 9 10 11 12 13 15 17 19 19 18 18 17 16 15 15 14 13 11 10 9 8 nan
nan 7 6 6 7 8 10 10 11 11 12 12 12 11 9 8 7 7 8 9 9 9 9 9 9 10 9 8 8 9 9 10 11 11 11 11 10 8 7 7 8 10 10 10 10 9 10 10 11 12 12 13 12 12 11 11 11 11 12 13 13 12 12 12 13 14 15 18 20 21 20 18 18 20 19 17 15 13 12 11 11 10 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 9 10 10 9 10 11 11 12 13 13 13 13 11 10 8 nan
nan 6 7 9 11 13 13 12 11 12 13 12 11 10 8 7 7 8 9 9 9 9 8 9 9 9 8 6 6 7 9 10 11 10 9 8 7 5 5 6 7 9 10 10 10 10 11 11 11 12 13 13 12 12 11 10 10 11 11 12 12 11 10 9 10 11 13 18 21 24 23 20 18 18 18 17 15 13 12 12 11 11 10 10 9 8 7 6 6 6 6 6 7 6 6 6 6 6 6 6 5 4 5 6 7 8 9 10 11 11 10 10 nan
nan 8 11 12 13 13 11 11 11 12 12 11 10 8 8 8 8 9 10 10 8 7 7 8 8 7 5 5 5 7 8 9 9 9 8 7 5 4 4 4 6 8 9 10 11 12 12 11 12 13 13 13 12 12 11 10 10 10 11 11 10 9 8 8 8 9 12 16 21 25 24 21 19 18 17 17 15 14 12 12 12 12 12 11 10 9 8 8 7 6 6 6 7 7 7 6 6 6 6 5 5 4 4 4 4 4 4 5 7 9 9 9 nan
nan 9 11 11 10 9 8 9 10 11 10 8 7 6 6 7 8 9 10 9 8 8 8 8 8 7 6 7 8 9 9 9 9 8 7 6 4 3 3 4 6 8 10 11 12 12 11 11 12 13 13 13 12 11 10 10 10 11 11 11 10 9 9 8 8 9 12 17 22 24 24 23 21 19 18 17 16 14 12 12 12 12 12 12 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 2 3 5 6 6 7 nan
nan 9 9 9 8 8 8 9 10 10 9 7 6 5 5 6 7 8 8 9 10 11 11 11 9 9 9 10 11 11 11 11 10 8 7 5 4 4 4 5 7 10 11 12 12 12 11 11 12 13 13 13 12 11 10 10 10 11 11 11 11 10 10 10 10 11 13 17 22 24 24 24 22 20 18 17 16 14 13 12 11 12 12 12 12 11 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 5 4 4 4 4 5 6 nan
nan 10 10 10 11 12 12 12 12 10 9 8 7 7 7 7 7 7 8 10 11 12 11 10 9 9 9 9 10 11 11 10 8 7 6 5 5 5 6 7 10 11 12 12 12 12 11 12 13 13 13 13 12 11 10 10 11 11 11 11 11 11 12 12 12 12 12 16 20 23 25 24 23 21 20 18 16 14 13 12 11 11 12 12 12 12 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 5 5 5 5 nan
nan 12 12 13 13 14 13 12 10 9 9 9 10 10 10 9 9 9 10 10 10 9 8 7 7 7 7 8 9 9 9 8 7 6 6 7 8 8 9 10 12 12 12 12 11 11 12 12 12 12 13 12 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 15 19 23 25 24 23 22 21 19 17 15 13 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 nan
nan 12 13 13 13 12 10 8 8 9 10 12 13 13 12 11 10 10 9 9 7 6 6 7 8 9 8 9 9 9 8 8 7 8 9 10 11 12 12 14 14 13 12 10 9 10 11 11 11 11 11 11 11 11 10 11 11 11 11 12 13 14 14 13 11 8 9 13 18 22 25 25 24 23 22 20 17 16 13 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 nan
nan 13 14 13 12 11 9 8 9 11 13 14 14 13 12 11 10 10 9 8 7 7 8 9 10 11 11 11 11 10 9 10 11 13 13 14 13 14 16 18 17 15 12 9 8 9 10 10 10 10 10 10 11 11 11 10 10 10 11 12 13 14 14 12 9 6 6 9 15 21 23 24 25 24 23 21 19 17 14 12 11 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 nan
nan 14 14 13 12 11 10 10 12 14 15 14 13 13 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 15 16 18 18 17 17 18 19 20 18 15 12 9 9 9 9 9 9 9 9 10 11 11 11 10 10 11 11 12 13 14 14 11 8 5 3 5 11 16 20 23 25 26 25 23 21 18 16 14 12 10 9 9 9 9 9 9 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 nan
nan 13 12 11 10 9 9 10 11 12 12 12 12 12 12 12 13 14 15 16 16 14 14 13 13 14 14 14 15 15 16 17 18 19 19 19 20 20 20 20 18 15 11 9 9 10 10 10 9 9 9 10 11 11 11 10 11 12 13 14 14 15 14 12 9 5 1 1 5 11 17 22 25 26 26 25 23 20 18 16 13 11 10 9 9 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 nan
nan 10 7 5 4 3 4 5 7 7 6 8 10 12 13 14 15 17 17 17 15 14 14 14 15 15 15 15 15 15 16 16 16 16 17 18 18 19 18 17 15 12 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 12 13 14 15 15 14 13 11 6 1 -1 -0 5 12 19 23 26 28 28 26 23 21 18 15 13 11 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 11 11 12 12 13 13 14 14 14 nan
nan 5 2 1 2 3 4 6 6 5 4 5 8 10 12 14 16 16 15 13 12 12 13 14 14 14 14 14 13 14 14 14 14 15 15 15 15 15 13 11 10 10 10 10 10 10 11 11 10 10 11 10 10 10 9 10 11 12 13 15 16 15 14 13 11 7 2 -2 -4 -0 7 14 20 25 29 30 29 26 23 19 17 15 13 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 12 13 13 14 14 nan
nan 5 4 5 7 8 9 10 9 8 7 8 9 11 11 12 13 13 12 12 11 11 12 12 12 11 11 11 12 12 12 13 13 14 14 13 12 10 9 8 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 10 11 13 15 16 16 15 13 12 10 8 4 -0 -4 -3 2 9 17 25 30 31 31 29 26 22 19 16 14 12 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 12 13 nan
nan 10 10 12 13 13 12 12 11 11 11 11 11 11 11 11 13 14 14 14 12 11 11 10 10 10 10 11 11 11 11 12 12 12 12 11 9 8 8 9 11 11 10 9 8 9 10 11 12 11 10 9 9 9 11 12 14 16 17 17 16 14 12 11 10 9 7 2 -2 -3 -1 6 15 23 28 31 32 32 29 25 21 18 15 13 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 7 5 5 6 9 nan
nan 13 14 14 14 13 12 11 11 12 12 12 11 11 11 13 16 19 18 15 12 10 9 9 9 10 10 11 11 10 11 11 11 11 10 9 8 8 9 12 13 12 10 8 7 9 11 12 12 11 10 9 10 12 13 15 17 18 18 16 14 13 11 10 10 10 9 6 2 -1 -1 4 12 18 23 28 32 33 31 28 24 19 17 15 14 12 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 11 10 8 5 2 1 1 2 6 nan
nan 14 14 14 14 13 12 12 12 13 12 11 10 11 12 15 18 19 18 14 11 9 8 7 9 10 10 10 10 10 10 10 10 9 9 9 9 10 13 15 15 12 9 6 6 9 12 13 13 11 10 10 12 14 15 16 17 18 17 15 12 10 10 10 10 11 10 8 6 3 2 4 8 13 17 23 28 32 33 31 26 22 19 17 14 13 12 11 11 10 9 9 8 8 8 8 8 8 7 8 8 9 9 9 8 4 1 -1 -1 0 3 7 nan
nan 15 16 16 17 17 16 16 16 14 11 9 9 10 12 14 16 17 17 14 11 9 8 9 10 10 10 10 10 10 10 10 10 9 9 10 11 12 15 16 14 10 6 4 7 10 13 14 13 11 11 11 12 13 14 15 16 17 16 13 10 9 9 10 11 11 10 10 8 6 5 6 7 9 13 18 23 28 32 32 29 26 22 17 15 14 13 12 12 11 11 11 10 10 9 9 8 8 8 7 7 8 8 6 3 -0 -2 -1 1 4 6 8 nan
nan 16 17 18 20 20 19 18 17 14 10 7 8 9 12 14 17 19 18 15 13 11 10 11 11 11 10 10 9 10 10 10 9 9 10 11 12 13 14 13 10 6 2 3 7 11 13 14 13 11 10 10 11 12 13 13 15 15 14 12 9 8 8 9 10 11 11 10 9 8 8 8 8 9 11 14 17 24 29 30 30 29 24 19 17 16 14 13 13 13 13 13 13 12 12 11 10 10 9 8 7 7 6 4 -1 -4 -3 -0 4 7 8 9 nan
nan 15 17 18 19 18 16 15 14 12 10 8 9 11 14 18 20 21 18 15 13 12 11 11 10 9 9 9 9 9 9 9 9 10 10 11 12 12 11 9 6 2 1 3 7 11 13 13 12 10 9 9 10 11 12 12 13 13 12 10 8 7 7 9 10 11 10 10 9 9 9 9 9 10 10 12 15 20 24 27 31 31 27 23 20 17 15 14 14 15 15 15 15 15 14 14 13 12 11 10 9 7 6 3 -2 -5 -4 0 5 7 8 9 nan
nan 15 17 17 16 14 13 12 12 11 11 11 12 14 17 20 20 18 15 13 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 10 9 6 3 1 1 3 7 11 12 12 11 9 9 9 10 12 12 12 11 11 10 9 8 7 8 9 10 10 10 9 9 9 9 10 10 10 10 11 14 17 20 24 28 30 27 25 20 16 14 14 14 15 16 16 17 17 16 16 16 15 14 12 11 10 8 4 -2 -5 -5 -1 4 7 8 8 nan
nan 17 17 17 16 15 13 13 12 12 13 13 14 16 17 18 17 14 12 12 12 12 11 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 5 3 2 3 4 7 10 11 11 10 10 10 10 11 12 13 12 11 10 9 9 8 8 8 9 9 9 9 9 8 9 9 9 10 10 10 11 12 14 16 20 24 24 24 21 17 14 12 12 14 16 17 16 16 16 16 17 17 16 16 15 14 13 11 6 0 -5 -6 -2 2 6 7 8 nan
nan 18 18 17 16 15 14 13 13 13 13 14 15 16 15 15 14 12 12 12 11 11 10 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 7 6 5 4 4 5 8 9 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 11 12 14 16 17 18 18 17 15 13 12 12 14 15 15 14 14 14 15 17 17 17 17 18 17 17 15 11 4 -3 -4 -2 1 5 7 8 nan
nan 16 16 15 15 14 14 13 13 13 13 14 14 15 14 13 12 12 12 11 11 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 6 5 6 8 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 8 7 7 7 8 9 9 9 10 10 11 10 11 12 13 13 14 15 16 16 16 15 14 14 13 11 11 11 12 13 14 15 16 18 19 20 20 18 15 8 3 -0 -1 2 5 7 8 nan
nan 14 14 14 14 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 14 14 13 11 10 10 10 10 10 10 9 9 9 8 8 9 8 7 5 4 5 7 9 10 10 11 11 10 10 9 9 10 11 12 13 13 13 13 13 12 10 9 8 7 7 7 8 9 9 10 10 10 11 10 10 11 11 11 12 14 15 17 18 17 16 14 12 10 10 10 10 11 12 13 15 17 19 21 21 19 17 13 9 6 4 5 7 9 10 nan
nan 14 14 14 14 13 12 12 12 11 11 11 11 11 10 10 10 11 11 12 13 14 15 15 14 13 13 12 11 11 10 10 9 8 7 6 5 6 6 6 5 3 3 4 5 7 8 9 10 10 10 9 8 8 9 11 12 13 12 13 13 13 12 11 10 9 8 8 8 8 9 10 10 11 11 11 11 10 10 10 10 11 12 14 16 18 18 17 15 13 12 11 10 11 11 11 12 14 17 19 20 20 19 17 16 15 12 10 9 11 13 13 nan
nan 13 14 14 13 12 12 11 11 11 11 10 10 11 10 10 11 11 12 13 14 14 14 13 12 12 12 12 11 10 10 9 8 7 6 5 4 4 4 3 3 2 3 5 6 6 7 8 9 9 9 8 8 8 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 9 9 10 10 11 11 11 10 10 9 9 10 10 11 13 16 17 18 18 17 15 14 12 11 12 11 11 13 15 17 19 19 18 16 16 16 16 15 14 15 17 18 18 nan
nan 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 11 10 9 9 8 9 8 8 7 6 4 3 2 2 3 4 6 8 9 10 10 10 10 10 9 9 10 10 11 10 9 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 13 15 16 18 19 18 17 15 13 12 12 12 12 14 16 17 18 15 12 10 10 11 13 14 16 18 21 22 22 nan
nan 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 11 10 10 10 10 11 11 11 10 8 6 4 4 4 5 7 9 10 11 12 11 11 11 11 11 11 11 11 11 9 9 9 10 12 12 12 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 10 12 14 15 17 18 18 18 16 14 13 13 12 13 14 15 15 13 9 5 3 3 5 7 9 12 15 18 21 23 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 13 14 14 14 13 12 12 12 12 12 13 13 13 12 11 9 8 8 9 9 10 11 11 11 11 10 10 10 11 11 11 12 12 11 9 9 9 10 12 12 12 12 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 11 13 15 16 16 17 17 15 15 14 13 13 14 14 15 13 10 6 3 2 1 1 2 3 5 7 10 14 19 nan
nan 10 10 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 12 13 13 14 15 15 16 15 15 14 14 14 13 14 14 14 14 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 10 9 10 10 12 12 13 13 12 10 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 8 8 9 10 12 14 14 15 16 16 15 15 15 14 14 14 15 15 13 11 9 7 4 3 2 2 2 3 3 4 6 10 nan
nan 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 11 13 14 15 15 15 16 17 17 17 16 15 15 15 15 15 16 16 16 16 15 14 14 13 13 12 12 12 12 12 12 12 12 11 10 11 11 11 11 10 10 11 12 13 14 14 13 12 11 10 10 9 10 10 10 11 11 11 11 12 11 11 10 9 8 7 8 9 11 13 13 14 16 15 15 15 14 14 15 15 15 15 14 13 12 9 7 6 5 5 5 5 5 4 4 4 nan
nan 11 11 11 12 11 11 10 9 9 9 10 11 12 12 13 13 14 15 15 15 16 17 17 17 17 17 16 16 17 18 18 18 18 17 16 15 13 12 12 11 11 11 12 12 13 13 13 12 11 10 10 11 11 11 11 12 12 13 14 14 14 13 12 12 12 11 11 10 10 10 10 11 11 12 12 12 11 10 9 8 8 8 9 11 12 13 15 15 15 15 14 14 14 14 14 15 15 15 14 13 11 10 9 7 6 7 7 8 8 7 5 nan
nan 11 11 11 12 12 12 11 10 9 9 11 13 14 15 15 14 14 14 14 14 14 15 15 16 16 16 16 17 18 19 19 19 19 18 16 14 13 11 10 10 10 11 12 12 13 13 13 13 13 13 13 12 11 11 12 13 13 13 13 13 13 13 12 12 12 12 11 11 10 9 10 10 11 12 12 12 11 10 9 9 9 9 10 10 12 14 14 14 15 14 14 14 14 13 13 14 14 14 14 13 13 12 11 9 8 8 9 10 11 10 9 nan
nan 10 10 10 11 12 11 11 11 10 11 13 14 15 14 13 13 12 12 13 13 13 13 13 13 13 14 15 16 17 18 18 18 17 16 15 14 13 12 11 10 11 12 12 13 13 13 14 15 16 17 16 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 10 9 9 10 10 11 12 12 11 11 11 10 10 10 10 10 12 13 13 14 15 14 14 14 12 12 12 12 12 12 13 13 13 13 12 11 11 10 10 11 12 12 11 nan
nan 10 9 9 10 11 12 12 11 12 13 14 14 14 13 12 11 12 12 12 13 12 12 12 12 11 12 13 14 14 15 15 14 14 13 13 13 13 13 12 11 12 13 13 13 13 14 15 16 18 18 17 16 15 15 16 15 14 13 12 12 11 11 12 13 13 12 12 11 10 10 9 9 10 11 11 11 12 12 12 12 11 10 10 10 11 12 13 14 14 13 13 12 11 12 12 11 11 11 11 12 13 13 12 12 11 11 11 11 13 13 12 nan
nan 10 9 10 10 11 11 12 12 12 13 13 13 12 12 11 11 11 12 12 12 12 12 12 11 11 11 12 12 13 13 13 12 12 12 12 13 13 12 12 12 13 13 12 12 13 14 15 16 17 16 16 15 16 18 19 17 15 12 11 11 10 11 12 12 12 13 12 11 11 10 10 10 10 10 11 11 12 13 13 13 12 10 10 10 11 11 12 13 12 12 12 11 12 12 11 11 10 11 11 12 13 12 12 12 11 11 11 12 13 14 14 nan
nan 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 12 12 13 13 12 12 12 11 11 11 12 13 13 13 12 11 11 11 12 13 12 12 13 13 12 12 11 12 13 15 15 15 15 15 15 17 18 18 17 14 11 11 10 10 10 11 11 12 12 12 11 11 11 11 10 10 10 10 11 11 12 13 13 12 11 11 11 11 11 12 11 10 11 11 11 12 12 11 11 11 11 11 12 12 11 12 12 11 11 12 13 14 15 15 nan
nan 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 13 13 13 12 12 12 12 12 12 13 13 12 11 11 11 11 12 12 12 13 14 13 12 10 10 11 13 14 14 14 14 14 15 16 15 15 14 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 10 10 10 11 12 13 11 10 10 10 10 11 11 11 11 11 12 12 11 12 13 14 15 15 nan
nan 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 11 9 8 10 13 14 13 12 12 13 15 15 14 13 13 13 13 14 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 12 11 10 10 10 11 12 12 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 14 15 15 nan
nan 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 10 9 9 10 13 14 13 11 11 12 13 14 14 13 13 13 14 15 15 15 15 15 14 12 10 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 13 13 14 13 13 11 10 10 10 11 12 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 12 13 15 15 nan
nan 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 12 13 12 11 11 12 13 13 13 12 12 12 12 12 12 13 14 16 17 16 15 12 10 8 8 9 9 9 10 10 10 11 11 12 12 12 12 13 14 14 14 13 12 11 10 11 12 11 11 11 10 9 9 9 9 9 10 9 10 10 11 11 11 12 13 14 15 nan
nan 11 11 11 11 12 12 12 12 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 12 15 16 16 13 11 10 8 7 7 8 9 10 13 16 17 17 15 12 10 9 9 9 9 10 10 10 11 11 12 12 12 12 13 13 13 13 13 12 12 12 13 13 12 12 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 13 14 nan
nan 12 12 11 11 12 12 12 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 14 16 18 18 15 12 9 6 4 3 2 3 4 8 11 15 17 16 14 12 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 13 13 12 13 14 15 15 15 13 10 9 9 9 8 9 9 9 10 10 10 10 11 11 12 12 13 13 nan
nan 12 12 11 11 11 12 12 13 13 13 13 12 11 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 11 11 12 12 13 14 16 17 18 17 16 12 8 5 2 -1 -2 -1 1 4 9 14 15 15 14 12 11 11 10 10 11 11 11 11 12 12 12 12 12 13 13 13 12 12 13 14 15 15 15 13 11 10 10 8 9 9 9 9 10 10 10 10 11 11 11 12 13 13 nan
nan 12 11 11 11 11 12 12 12 13 13 13 13 12 11 11 11 11 12 12 12 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 13 14 15 16 17 18 18 16 12 9 5 1 -2 -2 -2 -1 3 8 11 14 16 16 15 13 11 11 11 11 11 12 12 13 13 12 12 12 13 12 12 12 12 12 12 13 14 13 12 11 10 9 9 9 9 9 9 9 10 11 11 11 12 12 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 2 1 0 0 0 0 1 1 1 0 0 1 1 1 1 2 2 2 1 2 2 1 1 1 1 1 0 1 2 3 4 5 5 6 12 16 18 18 19 20 20 19 18 18 19 21 24 27 30 35 36 34 32 28 21 20 21 23 26 31 35 40 43 42 38 33 30 26 22 19 17 14 12 11 10 11 13 15 17 22 31 45 71 95 110 118 123 150 184 226 281 348 437 508 556 597 655 718 755 769 760 736 735 723 707 698 707 732 738 721 687 647
2 1 0 0 0 1 1 1 1 0 0 0 1 1 2 3 2 2 3 3 3 2 2 3 3 3 2 3 4 6 6 7 6 7 7 9 14 19 19 19 20 21 20 19 19 18 19 22 26 29 33 34 33 33 32 29 27 25 25 26 32 37 40 45 46 41 34 29 25 22 18 16 13 11 10 10 12 13 14 16 19 29 46 68 92 113 116 119 130 155 196 252 322 403 484 556 610 667 719 760 786 775 765 750 728 702 673 682 688 682 657 606 569
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