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 8 10 12 12 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 8 7 7 7 7 8 8 8 7 6 5 4 4 5 7 9 12 14 15 16 18 20 23 25 25 23 21 19 17 15 14 13 13 13 14 15 16 17 17 17 16 16 15 14 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 7 7 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 8 9 9 9 9 9 nan
nan 10 10 11 11 10 10 10 9 9 9 10 10 9 9 10 11 11 12 11 11 12 12 11 10 9 8 7 7 7 8 8 8 8 7 5 4 4 5 7 8 10 12 12 12 13 15 19 22 22 21 20 18 16 14 13 13 12 12 13 14 15 16 18 18 18 18 17 15 14 12 11 10 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 9 9 10 9 9 9 9 9 10 10 9 9 nan
nan 12 12 11 9 10 11 11 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 12 11 10 9 8 8 7 7 7 8 8 7 6 5 4 5 6 7 10 12 11 10 10 11 15 18 19 19 18 16 14 12 11 11 11 11 11 12 13 15 17 19 20 20 20 18 15 13 11 10 8 8 8 9 10 9 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 10 10 10 10 10 10 nan
nan 12 11 11 11 12 12 12 11 12 12 13 13 13 14 14 14 14 14 14 15 15 14 13 12 10 9 9 8 7 7 7 7 7 7 7 5 5 4 4 6 9 11 12 11 10 10 12 13 15 17 17 15 14 12 11 10 9 9 9 9 11 13 15 18 20 22 23 21 18 15 13 10 8 7 7 8 9 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 nan
nan 11 11 11 12 13 13 13 13 13 13 12 12 13 14 15 16 17 16 16 16 16 15 14 12 11 10 9 8 7 7 7 7 7 7 7 6 4 3 3 5 8 10 11 12 12 10 9 9 10 13 15 15 15 14 11 9 9 8 8 8 9 10 12 15 18 21 23 23 21 19 15 12 9 7 6 7 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 nan
nan 11 12 12 12 12 12 13 12 12 11 10 10 12 13 15 18 19 18 17 17 16 15 13 12 11 11 10 9 8 8 8 7 7 8 8 7 5 3 4 6 8 10 12 14 14 12 10 8 8 10 12 13 15 14 12 10 10 9 8 8 8 9 10 12 15 18 20 21 21 20 18 15 11 8 6 6 7 8 10 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 10 10 10 10 10 11 11 11 11 10 nan
nan 11 11 11 11 11 11 10 10 9 8 8 9 11 13 15 18 19 18 18 18 17 15 13 12 12 12 11 10 9 8 7 7 8 9 9 8 7 6 8 9 10 12 15 17 16 15 13 10 8 8 9 10 12 13 12 12 11 10 8 8 8 8 9 10 11 13 15 18 19 20 19 17 15 10 7 6 5 5 7 9 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 nan
nan 10 10 10 11 11 10 9 8 6 6 7 10 12 13 14 16 17 18 19 20 19 17 14 13 12 12 11 10 9 8 7 8 9 10 11 10 10 11 12 14 15 17 19 21 21 20 17 13 11 9 8 9 11 11 12 12 11 10 9 9 9 8 8 9 9 10 11 14 16 17 18 18 18 15 12 10 7 5 4 5 7 9 10 11 11 11 12 12 12 12 12 12 11 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 nan
nan 10 10 10 10 11 10 9 7 5 5 8 12 14 14 13 14 14 16 18 19 19 17 16 14 13 13 11 10 9 8 8 9 10 11 12 11 12 13 14 15 16 18 20 23 25 24 21 17 15 11 9 9 10 10 10 11 11 11 11 10 9 9 9 9 9 9 10 11 12 13 16 18 20 21 20 18 14 9 6 3 3 4 6 7 8 10 11 12 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 nan
nan 10 9 10 10 11 11 9 7 5 6 9 14 15 14 13 13 13 14 14 15 15 16 16 16 15 14 12 10 9 8 9 10 11 11 11 11 11 12 13 13 12 13 15 19 22 22 21 20 18 15 13 10 9 9 9 10 10 11 11 11 10 10 9 9 9 8 9 9 10 11 13 16 20 24 26 26 23 17 11 4 -0 -0 1 3 5 7 9 10 11 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 10 nan
nan 10 10 10 10 11 11 9 7 5 7 11 15 16 14 12 12 12 12 12 12 12 13 14 14 14 13 13 11 10 9 9 10 10 11 11 10 10 10 10 10 9 9 9 11 13 15 16 18 19 18 15 12 10 9 9 9 9 10 11 11 11 10 10 9 8 8 8 8 9 9 11 13 17 22 28 31 30 25 16 6 -0 -2 -2 0 3 5 7 9 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 10 nan
nan 10 10 10 10 10 10 9 8 7 9 11 14 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 11 10 10 10 10 11 11 10 9 8 8 9 11 14 16 17 15 12 11 11 11 9 8 9 10 10 10 10 10 9 8 8 8 8 8 9 9 10 13 18 24 28 30 28 19 9 3 -1 -2 -0 2 3 6 8 9 10 10 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 11 11 nan
nan 10 10 10 10 9 9 9 9 9 10 11 13 13 12 11 10 10 9 9 10 10 10 9 9 8 8 9 10 10 10 9 9 9 10 10 11 11 11 11 12 13 14 14 13 11 10 11 12 14 14 12 10 12 13 13 11 9 9 9 9 10 10 9 9 9 8 8 8 9 9 9 9 10 13 17 21 24 24 19 14 8 2 -0 0 1 3 5 7 8 9 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 12 12 12 12 11 nan
nan 10 10 10 9 9 9 9 9 10 10 11 12 12 11 10 9 8 8 8 9 10 10 10 9 8 7 8 8 9 9 9 9 9 9 10 10 11 11 11 11 13 15 17 18 17 15 14 13 12 11 9 9 12 14 14 13 11 10 10 10 10 10 9 9 8 7 8 9 9 9 9 9 9 10 11 14 17 18 17 16 11 6 4 2 2 3 5 7 8 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 nan
nan 10 10 9 9 8 8 9 9 10 10 10 11 11 10 9 8 8 8 8 9 10 10 10 10 9 8 8 8 8 9 10 11 11 10 9 10 10 10 10 10 11 12 15 17 18 17 15 13 11 10 9 10 12 14 15 14 13 12 12 12 11 10 9 7 6 6 9 11 11 10 9 9 8 8 9 11 12 13 14 14 12 10 8 6 4 5 5 6 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 nan
nan 10 10 9 8 8 8 9 9 9 9 9 9 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 10 12 13 13 12 11 10 9 9 9 10 10 11 12 14 15 15 14 12 10 10 10 11 11 13 13 14 14 14 14 14 12 11 9 6 5 8 12 15 14 12 10 9 9 9 9 9 10 11 12 12 12 12 11 9 7 6 6 6 8 9 9 10 9 9 9 8 8 7 8 8 8 8 9 9 9 10 10 11 11 11 11 nan
nan 10 10 9 8 8 8 8 8 9 9 8 8 9 9 9 9 8 8 9 10 10 11 11 11 10 10 10 10 11 12 14 15 15 14 12 11 10 9 9 10 10 10 11 12 12 12 12 11 10 10 10 10 11 12 12 12 13 14 14 13 12 11 9 8 8 10 13 16 15 13 12 11 10 10 9 9 10 10 11 11 12 12 11 10 9 8 8 8 9 9 10 10 10 10 10 9 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 nan
nan 9 9 9 8 8 7 7 8 9 8 8 8 9 9 9 9 8 8 10 11 11 11 11 10 10 10 11 12 13 15 16 17 17 16 14 12 11 10 10 10 10 11 11 12 12 12 11 11 11 10 10 10 11 12 12 11 12 12 13 12 11 11 11 10 9 9 11 13 13 14 14 14 14 13 10 10 10 11 11 11 12 12 11 11 10 10 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 nan
nan 9 8 8 7 7 7 7 7 8 8 8 9 10 10 10 9 9 9 10 11 11 11 10 10 10 11 12 13 15 16 17 18 18 17 15 14 13 11 11 10 10 11 12 12 12 11 11 11 12 11 10 10 10 11 12 11 11 11 11 11 11 11 11 10 9 9 10 12 13 15 17 19 19 17 13 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 nan
nan 8 7 6 6 7 7 8 8 8 8 9 10 11 11 9 8 9 10 11 11 11 11 10 10 10 11 12 14 15 16 18 19 19 17 16 15 14 13 12 12 11 11 12 11 10 10 10 11 12 12 11 10 10 11 11 11 10 10 11 11 11 11 11 10 10 11 13 15 16 17 20 22 23 19 15 11 11 11 12 12 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 nan
nan 7 6 5 6 8 9 10 11 10 10 10 11 11 9 8 8 10 11 11 11 10 10 10 10 10 11 11 12 13 14 16 17 17 17 16 15 15 15 14 13 12 12 12 10 9 8 9 11 12 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 14 16 18 18 18 19 21 22 19 15 12 11 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 nan
nan 7 7 7 8 9 10 12 12 12 11 11 10 10 8 7 8 10 10 11 10 10 10 10 10 10 9 9 10 10 11 13 13 14 14 14 13 14 15 15 14 13 12 11 10 8 8 9 11 12 13 12 11 10 10 10 10 10 10 10 11 12 12 11 12 14 16 18 19 17 16 17 18 19 18 15 13 11 11 12 12 13 13 14 14 14 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 10 10 9 9 9 11 12 12 10 9 9 9 9 8 8 9 10 11 10 9 9 10 10 9 8 8 8 9 9 9 9 9 10 10 10 11 13 14 14 13 13 12 9 7 7 9 10 12 13 12 12 11 10 10 10 10 10 11 12 13 13 13 15 17 19 19 18 15 14 15 16 17 16 15 13 12 12 12 12 13 13 14 14 15 15 15 14 14 13 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 10 10 9 nan
nan 10 10 9 8 7 8 9 11 10 9 8 9 9 9 8 8 8 9 10 10 10 10 11 10 9 9 9 10 10 10 9 7 5 5 4 5 6 8 11 13 13 14 12 9 7 7 8 10 13 13 13 12 11 10 10 10 10 11 11 12 13 14 16 18 19 20 19 16 14 13 13 15 16 16 15 14 12 12 12 13 13 13 13 14 15 15 15 15 15 14 14 13 13 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 9 nan
nan 9 9 8 7 7 9 10 10 9 8 8 9 9 9 8 7 7 7 9 11 12 12 11 10 10 11 12 12 12 11 10 7 4 1 -1 -2 -0 3 7 10 13 14 11 9 8 8 9 11 13 13 13 12 11 10 10 10 10 11 12 12 12 14 16 18 18 18 17 15 13 12 12 13 15 15 15 14 13 13 13 13 13 13 13 14 14 15 15 15 15 15 14 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 nan
nan 9 9 9 10 11 11 11 9 8 9 9 10 9 9 8 7 7 9 11 13 13 11 10 9 10 11 12 12 12 11 9 5 2 -1 -3 -4 -3 0 4 9 13 13 11 10 9 8 9 11 12 12 12 11 10 10 9 9 10 11 11 12 12 13 14 15 15 16 16 15 13 12 12 13 14 15 15 15 14 14 13 14 14 14 14 14 14 15 15 15 15 15 14 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 12 13 12 12 10 8 8 9 10 10 10 10 9 9 9 12 13 13 11 8 7 8 10 10 10 10 10 9 6 3 1 -1 -1 -2 -2 0 4 8 12 12 11 11 9 8 9 11 12 12 12 11 10 9 9 9 10 11 11 11 11 12 12 13 15 17 17 16 14 12 12 12 13 14 14 14 14 14 14 15 15 15 15 15 15 15 16 15 15 15 15 14 13 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 nan
nan 10 11 12 12 12 10 8 7 7 9 10 11 11 10 10 10 11 12 12 11 8 7 8 10 11 11 11 10 9 7 5 3 3 3 3 3 2 4 7 10 12 11 11 11 9 8 9 10 11 12 12 11 10 8 8 9 10 10 11 11 11 11 12 14 18 20 20 18 15 13 13 13 13 13 14 14 14 15 15 15 15 16 16 17 17 17 17 17 16 16 15 15 14 13 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 14 14 nan
nan 10 11 12 11 10 9 7 8 9 10 11 12 12 11 11 10 11 12 11 10 9 10 11 12 12 12 12 11 9 8 7 7 8 8 9 8 8 10 11 13 12 11 11 10 9 9 9 9 10 11 11 10 9 8 8 9 9 10 11 10 10 11 13 16 19 21 21 18 15 14 14 14 14 14 14 14 14 14 15 15 15 16 17 17 18 18 18 18 17 17 17 16 16 15 14 14 14 14 14 15 15 15 15 16 17 18 17 17 18 18 19 nan
nan 11 11 11 11 10 9 9 10 10 11 12 13 13 12 12 11 12 12 12 12 13 14 14 14 14 14 14 13 13 12 13 14 15 15 15 15 14 15 15 15 13 12 11 10 10 9 9 9 10 10 10 10 9 8 8 8 9 10 11 11 11 11 13 16 18 20 20 19 17 16 16 15 15 15 14 14 13 13 14 15 15 16 17 18 18 19 19 19 19 18 18 18 18 18 17 17 18 18 18 19 20 21 21 21 22 23 23 22 22 23 23 nan
nan 11 11 10 9 9 9 10 11 12 12 13 14 14 14 13 13 14 14 15 16 16 17 17 17 16 16 16 16 16 16 16 17 18 19 19 19 19 19 18 18 16 14 12 11 10 9 8 8 9 10 11 10 8 8 8 9 10 11 11 11 11 11 13 14 16 18 20 20 19 18 17 16 15 15 14 13 13 14 14 15 16 17 17 18 18 19 19 19 19 19 19 20 20 21 21 21 22 22 23 24 25 26 26 26 26 26 26 26 26 25 25 nan
nan 9 7 6 6 6 8 10 12 12 12 14 15 16 16 15 15 15 16 17 17 18 18 18 18 18 18 18 17 16 16 15 16 17 18 18 19 19 19 19 18 17 15 14 12 11 9 8 8 9 10 11 9 9 8 8 9 10 11 11 11 10 11 12 13 15 17 19 21 21 20 18 17 16 15 14 14 15 15 15 16 17 17 18 18 18 19 19 19 20 20 20 21 22 23 23 24 24 25 25 26 27 27 28 28 28 27 27 27 27 26 24 nan
nan 6 4 3 4 6 8 11 12 11 12 14 16 18 18 18 16 15 15 16 17 17 18 17 17 17 17 18 18 16 15 15 15 15 16 17 17 18 17 16 15 15 15 15 13 12 10 8 8 8 10 10 10 9 8 8 9 10 10 11 10 10 10 11 12 14 16 18 21 23 23 21 19 17 16 16 16 16 17 17 17 17 17 18 18 18 19 19 20 20 20 21 22 23 24 24 25 25 25 26 26 27 27 26 26 26 26 26 25 23 23 22 nan
nan 6 5 6 7 8 9 11 11 11 12 13 16 18 19 19 18 17 17 16 16 15 15 14 13 13 15 17 17 17 16 15 14 15 15 16 16 15 13 11 11 12 14 15 15 13 11 9 8 8 9 10 10 10 9 9 9 9 10 10 9 9 10 10 12 13 15 17 21 24 24 24 22 19 18 18 18 18 17 17 18 18 18 18 18 18 18 19 20 20 21 21 22 23 23 23 24 24 24 25 25 25 24 24 22 22 21 20 17 14 12 13 nan
nan 8 8 9 9 10 10 10 11 11 12 12 14 15 17 19 21 21 21 19 15 13 12 10 10 11 13 15 16 16 15 14 14 14 14 15 14 11 9 9 9 11 13 14 15 14 12 10 8 8 9 10 10 9 9 9 9 9 10 10 9 9 9 10 11 12 14 17 20 23 25 26 24 21 20 20 19 19 18 18 18 18 18 18 18 18 18 19 19 20 20 21 21 21 22 22 22 22 22 22 22 21 20 19 17 14 12 9 5 2 0 1 nan
nan 8 9 9 9 10 10 10 11 12 11 11 11 12 14 18 22 25 23 19 15 12 10 9 9 11 13 13 14 13 13 13 13 13 13 13 11 9 8 8 9 10 12 13 15 15 13 10 8 8 9 10 9 9 9 9 9 10 10 10 10 10 10 10 11 13 15 16 18 19 21 23 21 19 19 20 20 19 19 19 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19 20 20 19 19 19 18 17 15 12 9 4 -0 -3 -4 -3 -2 -1 nan
nan 8 8 8 9 10 11 12 13 12 10 8 9 10 13 17 21 23 22 18 14 11 9 8 10 11 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 9 10 13 15 15 13 11 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 11 13 15 15 16 15 15 14 12 12 13 15 17 18 19 18 17 18 18 18 18 18 18 18 18 18 18 18 17 17 17 18 17 17 16 15 13 11 9 5 0 -4 -6 -6 -3 1 4 6 nan
nan 8 8 10 12 13 14 15 15 12 7 5 6 9 12 15 19 21 21 17 14 11 10 10 11 12 12 12 11 11 11 10 10 10 11 11 10 10 11 10 9 8 9 12 15 16 14 11 10 10 10 9 9 8 9 9 9 9 9 10 10 10 10 10 12 13 14 14 14 12 10 7 5 5 7 9 9 10 13 16 17 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 15 13 12 10 8 6 4 1 -2 -5 -4 -1 3 7 9 9 nan
nan 9 10 12 15 16 15 15 15 11 4 2 4 7 11 16 19 21 19 16 14 12 12 12 12 12 11 11 11 11 10 10 10 11 11 12 12 12 11 10 9 7 8 12 15 16 14 12 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 11 13 13 13 13 13 11 10 8 7 7 6 6 5 5 8 12 15 18 18 17 17 16 15 15 14 14 15 14 13 13 13 12 11 9 8 6 4 3 3 2 1 1 2 5 7 9 10 10 nan
nan 10 11 13 15 14 12 12 13 9 5 3 4 7 12 17 20 19 16 14 13 13 13 13 12 11 11 11 11 11 10 10 10 11 12 12 13 12 11 10 8 6 8 12 15 16 14 12 10 9 8 8 8 8 8 7 7 7 7 7 7 7 9 11 13 13 13 13 12 12 11 11 11 11 10 8 7 7 9 10 12 15 15 15 15 13 12 11 12 13 13 11 11 10 10 8 7 6 5 4 3 3 4 4 3 4 5 7 9 10 9 9 nan
nan 11 12 13 12 11 11 12 12 10 8 7 7 10 14 17 18 15 12 11 12 13 13 12 11 11 11 10 10 10 10 10 10 10 11 11 12 11 10 9 6 6 8 11 14 15 14 12 10 9 8 8 8 8 8 8 8 8 8 8 7 7 8 10 12 13 14 13 12 12 12 13 13 13 12 12 11 11 10 9 10 9 8 6 5 5 4 5 7 10 10 9 9 8 6 6 5 4 3 4 4 5 6 4 3 4 6 8 9 10 9 9 nan
nan 13 13 13 12 11 11 12 12 11 11 10 11 12 14 14 14 11 10 11 12 12 11 11 11 11 11 10 10 11 11 10 10 10 10 11 10 9 8 6 5 6 7 10 13 14 13 12 10 9 8 9 9 10 10 11 11 10 10 9 8 8 9 10 11 13 13 12 12 12 12 13 13 13 13 13 13 12 10 8 6 2 -2 -4 -6 -4 -3 -1 3 5 6 5 5 4 4 5 5 4 4 5 6 7 6 5 5 6 7 9 10 10 9 9 nan
nan 13 13 12 12 11 12 12 12 11 11 11 13 13 13 13 11 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 8 7 6 5 6 7 10 13 14 14 12 10 9 9 10 11 12 12 12 12 12 11 10 9 10 10 10 11 12 12 11 11 12 12 13 13 13 13 12 12 11 9 7 4 0 -3 -5 -5 -4 -2 -1 -0 -2 -3 -3 -2 -0 1 4 5 5 6 7 7 7 7 7 8 8 9 9 10 10 10 9 nan
nan 12 11 11 11 11 11 12 12 11 11 11 12 13 12 11 10 9 9 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 8 7 6 7 7 10 12 14 14 13 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 9 8 7 5 3 3 3 3 4 3 2 -1 -5 -8 -8 -6 -5 -4 -1 3 5 7 8 8 8 8 8 8 9 9 10 10 10 10 10 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 11 12 13 14 13 13 13 14 13 13 12 11 10 10 10 10 9 8 7 6 5 5 6 9 11 13 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 13 13 12 11 9 8 8 7 7 7 8 8 8 7 6 4 1 -1 -3 -3 -4 -5 -5 -4 -1 1 5 8 9 9 9 8 9 9 10 10 9 10 10 10 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 10 12 14 14 13 12 12 14 15 15 14 12 10 9 9 8 6 6 6 5 4 3 3 5 8 10 12 13 13 13 13 12 12 11 11 10 10 11 11 11 11 11 12 12 12 12 12 11 11 10 10 11 13 13 13 12 11 9 8 8 8 8 9 9 9 9 7 7 6 5 5 5 4 3 1 -0 -1 -1 1 5 9 11 12 11 11 11 12 12 11 11 13 13 13 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 12 13 14 12 11 11 12 14 15 14 12 10 9 9 8 7 6 5 4 3 2 2 3 5 8 9 10 11 12 13 13 12 12 11 11 10 10 11 11 11 11 12 12 12 13 13 12 11 10 10 11 12 13 13 13 12 11 10 10 9 9 9 10 10 10 8 8 8 8 8 8 8 8 7 7 6 5 4 6 9 11 11 12 11 12 12 13 14 14 16 17 17 15 nan
nan 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 11 13 13 12 10 10 11 13 13 12 11 10 10 10 10 10 10 9 8 6 5 4 4 5 7 9 10 11 11 12 12 13 13 13 12 11 10 11 11 11 11 11 12 12 12 12 12 11 10 9 10 11 12 13 13 13 12 11 11 10 10 10 10 10 11 10 9 9 9 8 8 8 8 9 9 9 9 9 10 10 9 6 4 4 4 6 8 11 13 16 18 18 18 17 nan
nan 10 9 9 9 9 9 9 10 10 9 10 11 10 10 8 8 9 11 12 12 11 11 11 12 13 12 11 10 11 12 13 13 13 13 12 11 9 8 8 8 9 10 11 12 12 12 12 13 13 13 14 13 12 12 12 11 11 11 11 11 11 11 11 10 9 8 8 9 11 12 12 12 12 11 10 10 10 11 10 11 11 11 11 10 10 9 8 9 9 9 9 9 10 10 10 10 7 3 -2 -5 -5 -4 -3 0 3 7 9 12 13 15 18 nan
nan 10 9 9 9 9 9 10 10 10 10 10 11 10 10 8 8 9 10 12 12 12 12 13 13 13 12 12 12 13 15 15 15 15 14 14 13 13 13 13 12 12 13 13 13 13 12 12 13 13 14 15 14 14 13 12 11 11 11 10 10 9 9 9 8 8 8 9 10 10 11 12 12 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 9 7 5 2 -1 -2 -2 -3 -3 -3 -3 -3 -2 1 3 7 11 nan
nan 10 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 10 11 13 14 14 15 15 14 14 14 14 14 15 16 16 16 15 15 15 15 16 16 15 14 14 14 15 14 14 13 13 14 15 16 16 15 15 15 13 11 10 9 8 8 8 8 8 7 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 10 10 10 10 9 8 7 6 5 5 6 5 4 3 2 -1 -3 -5 -4 -4 -2 0 nan
nan 10 10 10 10 10 10 10 10 10 9 8 8 9 9 10 11 13 15 16 16 16 16 16 15 15 14 15 15 16 17 18 18 17 16 15 15 16 17 16 14 13 14 14 15 15 15 15 15 16 16 16 16 16 15 13 11 9 8 7 7 8 8 7 7 8 9 9 10 10 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 9 9 10 10 10 9 9 8 8 8 8 8 8 8 7 7 6 5 3 1 -0 -2 -4 -5 nan
nan 10 10 10 10 10 10 10 10 9 8 8 10 11 13 14 15 15 16 16 15 15 15 15 15 15 15 15 16 18 20 20 20 18 17 15 15 16 16 15 13 13 13 14 15 16 16 16 16 17 17 17 17 16 15 13 11 9 8 8 9 9 8 8 8 9 9 10 10 10 11 11 10 10 10 10 10 9 9 8 9 9 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 9 8 8 8 7 8 8 8 8 8 7 6 4 2 -1 nan
nan 11 11 10 10 11 11 11 11 9 9 11 13 15 16 16 15 14 14 14 13 14 14 14 14 14 14 15 17 19 21 21 20 19 17 16 14 14 14 14 13 13 13 14 15 16 16 16 17 18 19 19 19 17 15 13 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 7 6 5 nan
nan 11 11 11 11 12 12 11 11 11 12 14 15 16 16 14 12 11 11 12 12 13 13 13 13 12 12 14 16 18 19 19 18 18 16 15 14 13 13 12 12 13 14 14 15 16 17 17 18 18 19 20 20 18 17 14 11 11 12 12 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 nan
nan 11 12 12 12 12 12 12 12 12 14 15 15 15 13 11 10 10 11 11 12 12 12 12 12 11 12 13 14 16 16 15 15 15 14 14 13 12 11 11 11 12 13 14 14 16 17 17 18 18 19 20 20 20 19 15 14 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 11 12 13 13 13 13 12 12 13 14 14 14 13 11 11 10 10 11 11 12 12 12 12 12 12 12 13 14 14 14 14 14 13 13 13 12 11 10 10 10 11 11 12 13 15 16 17 18 18 19 19 20 21 21 18 17 15 13 13 13 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 10 9 7 6 7 8 9 10 11 11 10 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 12 12 13 13 13 12 12 13 13 13 12 11 11 10 10 10 11 11 12 13 13 12 12 12 12 13 14 14 14 14 13 13 12 12 12 11 11 10 10 10 10 10 11 13 15 17 18 18 19 19 20 21 21 20 19 16 13 13 13 12 12 12 12 11 10 9 9 9 9 8 9 9 10 10 9 8 7 7 8 9 11 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 12 12 nan
nan 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 13 13 13 13 12 12 13 14 14 14 14 13 13 12 12 12 12 12 11 11 10 9 9 9 11 13 15 16 18 19 20 21 22 21 20 19 17 15 14 13 12 12 12 12 10 10 9 9 9 8 8 8 9 9 9 8 8 9 9 10 11 12 12 12 12 12 12 11 11 12 12 13 12 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 nan
nan 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 11 11 12 12 13 13 13 13 13 13 12 13 13 14 14 13 13 13 12 12 12 12 12 12 12 11 10 9 9 9 11 12 13 15 18 21 22 23 22 21 20 18 17 17 15 14 14 13 12 10 10 10 9 9 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 12 11 11 12 13 14 14 12 10 9 9 9 9 10 10 10 11 11 11 12 12 13 13 13 13 13 nan
nan 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 13 13 12 12 12 12 11 11 11 10 10 10 10 10 10 12 15 19 22 24 24 24 22 21 20 20 18 18 17 14 11 10 10 9 9 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 13 14 15 12 10 8 8 8 9 9 9 9 10 10 11 11 12 12 12 13 12 12 12 nan
nan 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 11 11 11 10 9 10 12 15 18 22 24 23 23 23 23 23 21 19 17 14 13 12 11 9 8 7 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 12 8 7 6 7 8 9 9 9 10 10 10 11 11 11 11 12 12 11 11 11 nan
nan 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 12 11 10 10 9 10 12 14 17 18 19 20 22 21 20 20 19 17 17 16 14 10 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 12 13 13 12 9 6 5 6 7 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 10 9 8 8 9 10 11 12 13 14 15 16 17 17 17 18 19 17 15 13 11 9 9 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 11 12 13 11 8 7 7 8 8 9 9 8 9 10 10 10 11 10 10 11 11 11 11 11 11 nan
nan 11 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 10 10 10 10 14 19 18 18 17 14 12 11 11 10 10 10 10 10 9 8 8 8 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 nan
nan 11 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 10 10 10 9 9 9 9 8 8 7 6 5 5 4 5 8 11 14 18 21 19 18 16 12 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
15 15 16 15 12 7 2 2 1 1 2 3 3 6 4 1 0 0 0 0 0 0 0 1 1 0 1 1 2 2 4 5 6 6 4 5 7 8 6 3 3 7 21 45 70 80 75 58 35 18 12 7 7 11 22 50 121 225 364 518 640 668 643 617 602 565 514 484 475 482 487 493 473 447 419 387 350 308 278 257 246 243 254 256 257 261 273 312 372 450 534 618 713 831 947 1046 1126 1206 1309 1398 1463 1498 1502 1497 1471 1427 1365 1288 1204 1110 1015 928 854
12 12 12 10 7 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 3 5 7 7 7 6 8 8 8 11 13 12 6 3 5 11 26 51 62 61 49 32 15 8 5 5 10 21 39 94 185 303 430 546 577 581 602 628 597 547 497 451 420 418 437 441 433 418 386 345 306 273 252 245 236 239 241 239 237 246 278 325 383 450 510 595 699 809 919 1014 1120 1232 1334 1411 1440 1457 1465 1457 1425 1354 1279 1198 1112 1027 956 899
11 11 10 10 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 8 8 13 18 19 14 11 13 13 13 14 19 16 10 5 2 5 15 31 41 44 42 33 18 8 5 6 19 30 50 94 171 277 372 454 503 537 575 614 604 574 536 497 440 404 394 393 391 403 381 350 315 281 253 245 233 227 223 219 220 228 249 285 340 394 442 505 580 667 799 917 1040 1164 1278 1352 1390 1419 1435 1432 1399 1335 1259 1179 1101 1023 967 935
14 13 13 14 12 10 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 14 16 18 24 32 35 27 22 19 18 17 18 22 19 14 7 2 5 13 22 28 30 38 32 20 11 11 17 36 49 66 103 168 253 317 373 429 486 516 545 552 532 502 497 439 395 372 373 383 394 389 371 339 307 280 262 246 232 217 210 211 219 228 238 284 329 376 429 493 579 699 827 964 1107 1221 1299 1355 1389 1403 1397 1361 1306 1238 1160 1086 1018 970 955
16 17 17 18 17 14 11 9 7 4 2 1 1 1 1 1 0 0 0 0 0 1 3 7 13 21 26 32 38 42 38 31 24 19 17 18 21 24 23 19 9 5 6 13 20 26 23 30 27 18 11 14 24 40 62 90 128 172 217 255 292 333 395 439 471 470 424 393 387 370 349 335 347 372 394 399 386 355 332 311 290 268 242 224 214 212 219 234 230 248 277 314 362 432 520 625 747 891 1042 1162 1255 1320 1360 1375 1365 1333 1287 1227 1151 1087 1038 1006 992
17 19 20 20 19 16 12 12 11 9 6 3 2 2 1 1 0 0 0 0 1 4 7 9 15 24 33 42 50 48 35 24 16 13 12 15 19 24 30 32 16 9 7 12 21 27 27 28 26 20 11 12 15 25 49 90 135 164 184 196 212 230 286 340 380 396 313 275 267 274 279 265 277 300 328 351 352 326 312 304 296 281 251 227 211 203 197 216 223 230 245 272 318 384 469 573 693 842 989 1117 1218 1283 1325 1344 1339 1312 1267 1210 1148 1100 1071 1060 1045
18 19 20 21 21 19 15 14 14 12 8 5 4 1 0 0 0 0 0 0 1 2 4 11 17 25 35 45 50 39 25 15 10 9 10 12 17 25 41 41 27 15 8 8 19 26 30 30 27 21 14 12 11 11 18 58 103 138 154 149 160 182 209 243 276 297 227 181 174 195 211 200 206 223 244 274 279 270 257 243 237 233 220 204 192 191 186 193 201 210 221 247 289 348 434 551 681 820 956 1079 1173 1227 1268 1296 1306 1285 1247 1196 1148 1115 1099 1086 1068
17 17 18 19 19 18 14 12 11 9 5 2 0 0 0 0 0 0 0 0 0 1 4 11 19 27 33 40 41 34 25 15 8 8 9 11 13 19 43 44 35 22 11 7 15 24 32 36 30 22 17 15 15 13 10 32 70 116 160 146 126 115 123 152 187 204 181 145 124 148 163 172 186 206 230 243 248 244 228 206 188 180 176 172 163 167 170 170 168 175 190 218 264 329 415 542 673 800 916 1022 1100 1159 1198 1225 1249 1241 1211 1175 1144 1128 1116 1108 1090
12 10 9 10 11 10 8 7 6 4 1 0 0 0 0 0 0 1 2 3 2 3 6 12 23 36 43 47 47 44 36 23 15 12 11 11 14 16 32 41 41 31 18 12 14 22 34 41 34 25 20 18 18 17 15 24 51 107 169 163 131 98 78 95 133 164 175 158 127 132 144 162 186 205 227 246 258 256 233 210 185 161 144 139 132 132 138 144 140 145 158 185 230 301 403 518 641 763 867 959 1034 1086 1120 1146 1164 1165 1158 1145 1128 1113 1106 1108 1099
7 5 4 4 3 3 3 3 2 1 0 0 0 0 0 0 1 2 3 4 4 5 7 13 25 43 56 65 67 61 48 32 22 18 16 16 18 23 30 38 41 34 26 20 18 24 41 43 37 29 22 19 18 19 20 23 38 94 140 154 148 129 90 86 98 125 161 143 137 137 141 149 158 172 193 212 227 231 203 178 160 145 127 122 111 102 104 118 124 133 144 161 203 279 377 483 589 696 790 874 944 1001 1040 1065 1088 1100 1102 1102 1095 1089 1090 1088 1072
5 4 3 3 3 2 2 1 1 1 0 0 0 1 0 1 2 3 4 5 5 5 5 8 15 29 44 64 78 75 62 45 32 27 27 26 29 35 33 32 36 35 32 29 27 31 42 45 41 33 25 22 21 21 22 24 32 69 105 138 168 182 156 123 94 88 135 158 169 167 160 161 160 156 139 118 117 113 98 88 89 115 133 158 152 110 101 100 104 115 130 146 192 259 345 443 534 628 714 791 861 923 962 986 1007 1031 1041 1048 1051 1053 1053 1044 1032
6 5 4 4 4 3 2 2 2 2 1 1 1 1 1 1 2 4 5 6 6 5 4 3 3 9 15 30 51 64 62 52 43 38 39 36 31 26 25 27 32 36 38 38 40 42 46 47 43 35 28 24 22 23 28 27 35 52 76 110 157 189 191 167 126 110 134 156 173 190 190 189 179 146 95 49 37 30 27 27 47 99 160 236 288 199 135 98 86 90 107 136 178 230 299 394 481 565 642 713 784 840 884 912 931 958 975 988 1001 1010 1010 1002 991
7 6 5 5 4 4 3 3 3 3 2 2 2 2 2 2 2 3 4 4 3 3 2 2 1 2 3 7 15 26 38 43 43 40 39 41 35 26 22 24 30 36 39 39 42 46 48 47 43 35 28 23 21 22 29 32 35 41 52 70 103 143 176 187 170 166 154 139 145 184 197 199 196 176 104 56 23 6 10 29 65 114 172 248 360 303 192 99 75 74 94 124 160 204 269 354 434 506 573 641 710 770 817 850 876 898 914 930 949 962 961 955 946
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10 9 8 8 8 7 8 8 9 10 11 11 12 13 13 13 12 10 8 7 6 6 5 5 5 4 4 3 2 3 3 3 2 1 2 7 16 26 35 43 48 50 49 47 47 48 51 56 60 64 56 45 36 31 30 30 28 26 29 37 36 31 27 21 11 5 6 13 16 16 14 14 25 41 89 138 179 209 200 162 155 181 200 206 211 174 108 74 57 43 37 41 53 62 68 71 73 88 112 141 174 210 245 279 305 328 362 394 413 441 478 485 477
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12 12 12 11 11 10 11 10 10 10 11 12 13 13 12 11 11 11 10 9 8 8 8 7 6 6 5 4 4 4 4 3 4 6 13 26 43 49 58 68 78 86 86 83 74 61 48 25 15 21 35 47 39 34 30 24 20 25 28 33 42 48 45 41 34 25 18 15 20 27 29 29 19 14 32 79 128 130 110 79 41 29 33 41 49 63 65 58 48 44 48 56 69 78 74 73 69 66 69 79 89 103 119 142 175 213 236 254 276 288 304 319 333
13 14 13 13 12 11 11 10 10 10 11 12 13 13 12 11 11 11 10 9 8 8 7 7 6 5 5 5 5 5 5 4 5 9 21 44 64 73 80 90 100 107 104 93 76 51 29 11 3 3 11 27 27 21 17 18 22 29 30 29 32 40 41 39 37 32 25 24 27 27 18 36 31 16 15 45 89 91 57 31 19 9 6 9 13 19 26 30 30 36 52 62 68 76 76 74 73 70 70 71 71 78 94 99 114 141 164 185 214 232 255 277 285
14 16 16 14 13 12 12 11 11 12 13 14 14 13 13 12 11 11 10 9 7 7 6 6 5 5 6 6 6 6 5 5 6 8 16 44 62 76 87 97 111 112 107 96 75 40 16 4 0 0 1 8 11 10 7 14 14 13 13 13 12 19 28 33 36 31 27 26 28 24 7 16 27 21 11 28 58 74 48 18 8 3 0 1 1 0 4 10 15 26 39 48 49 51 58 61 56 52 50 46 40 35 33 43 60 81 101 122 161 190 206 210 207
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