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 14 17 18 16 12 7 4 4 4 6 8 9 9 8 8 8 9 9 9 9 11 12 12 12 12 11 11 10 10 10 10 10 10 12 14 14 13 10 8 6 5 5 5 5 6 6 6 6 7 7 7 6 5 4 5 6 6 6 6 5 5 6 6 6 6 6 7 7 8 10 11 12 13 14 14 14 15 15 16 17 18 16 13 12 10 10 10 10 9 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 10 nan
nan 14 15 14 11 9 6 4 3 4 6 8 9 9 9 9 9 9 9 9 10 12 12 11 11 11 11 10 10 10 10 10 9 10 11 13 14 14 11 9 7 6 5 5 6 6 6 7 7 7 7 7 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 7 9 9 10 11 13 14 15 16 16 15 16 16 16 15 13 11 11 10 10 10 9 9 9 8 8 8 8 8 8 7 8 8 8 8 7 8 9 9 9 9 10 10 nan
nan 14 13 9 7 7 6 5 3 4 6 8 9 9 10 10 10 10 10 10 12 12 11 10 9 10 10 11 11 11 10 10 9 10 10 11 13 14 13 11 9 7 6 5 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 10 11 13 15 16 16 16 16 16 16 15 14 12 11 11 11 10 10 10 10 9 8 8 9 8 8 7 8 8 8 8 8 8 9 10 10 10 9 10 nan
nan 14 11 7 5 5 6 5 4 5 7 8 9 10 11 11 11 11 12 12 13 12 11 10 9 10 11 11 11 11 10 10 10 9 9 10 12 14 14 13 11 8 7 6 5 6 7 9 8 8 7 6 7 8 8 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 13 15 16 17 17 18 17 16 14 13 11 11 11 11 11 11 11 10 9 9 9 9 8 8 8 8 9 9 8 9 9 10 10 10 10 10 nan
nan 13 10 7 6 6 5 5 5 7 8 9 10 11 12 12 12 13 13 14 14 12 10 10 11 11 12 11 11 12 12 11 11 10 9 10 11 12 13 13 12 10 8 6 5 5 7 8 8 8 7 7 7 8 8 9 8 8 7 7 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 10 12 13 15 16 17 18 18 17 16 14 12 11 11 11 11 11 11 11 11 10 10 10 9 9 8 9 9 9 9 9 9 10 10 10 10 10 nan
nan 11 9 9 8 7 6 5 6 7 9 10 12 12 12 12 13 13 13 13 13 12 11 11 12 13 12 12 13 13 13 13 12 11 11 11 11 11 12 13 12 11 9 7 5 5 6 7 8 8 8 8 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 10 11 12 12 13 14 15 16 17 17 16 15 13 12 11 11 11 12 12 11 10 10 11 10 9 9 9 10 10 10 9 10 10 10 10 10 10 nan
nan 9 8 9 10 9 7 6 6 7 9 11 13 14 13 12 12 12 12 12 11 10 11 11 12 13 13 12 13 14 14 13 13 13 13 12 12 12 13 14 14 13 11 8 6 5 6 7 9 10 9 10 10 9 8 6 6 7 7 7 7 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 11 11 12 12 12 13 14 15 16 16 15 13 12 11 11 11 12 11 11 11 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 7 8 9 9 8 7 6 6 8 11 13 14 13 12 11 11 11 11 10 9 10 11 12 13 12 12 12 13 15 15 14 14 14 14 15 16 17 18 18 18 16 13 11 9 8 9 11 11 11 11 10 10 8 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 8 9 9 10 10 9 9 10 11 12 11 11 10 11 12 13 14 15 14 13 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 11 10 10 nan
nan 6 7 8 9 9 8 7 6 5 6 10 13 14 13 12 11 10 10 10 9 9 10 11 12 12 11 11 12 14 15 15 14 14 14 15 17 19 20 20 20 21 20 19 18 16 14 14 15 15 14 12 11 10 8 7 7 6 7 7 8 8 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 10 11 11 12 11 11 10 10 10 12 14 14 13 13 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 11 11 11 11 11 nan
nan 6 7 8 9 9 9 8 6 6 7 10 12 13 12 12 11 11 10 10 10 10 11 12 12 12 11 12 13 13 13 12 12 12 12 14 15 17 18 18 17 17 17 18 19 18 18 19 19 19 18 16 13 12 10 9 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 11 12 13 12 11 11 10 11 12 13 13 13 13 12 11 11 10 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 12 nan
nan 8 8 8 9 10 9 8 7 8 9 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 13 14 14 14 13 12 11 11 12 13 15 17 18 19 20 19 17 16 15 13 10 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 12 13 13 13 13 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 13 13 13 nan
nan 9 9 9 10 10 10 9 9 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 8 9 9 10 10 10 10 11 13 14 14 15 14 12 10 8 8 9 10 12 14 15 16 17 18 17 15 12 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 11 12 13 14 14 14 13 13 13 13 13 13 13 13 12 11 11 11 11 11 10 11 11 11 11 11 11 11 12 13 13 13 nan
nan 10 10 10 10 10 10 9 10 11 12 11 10 9 9 9 9 10 10 10 11 11 11 10 10 9 8 8 7 7 8 9 9 9 9 10 11 13 14 16 17 17 17 15 12 10 9 9 9 9 9 9 10 14 15 15 12 10 9 8 8 8 8 9 9 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 12 13 14 15 15 14 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 nan
nan 10 10 10 10 10 10 10 11 11 11 10 9 9 8 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 8 8 9 9 9 9 11 12 14 15 16 17 18 18 17 16 14 13 13 12 11 9 10 12 14 14 13 12 11 10 9 9 9 9 10 10 10 11 12 11 10 10 10 10 10 10 10 9 9 8 8 9 10 12 13 14 15 15 14 14 14 13 13 12 12 11 11 10 10 10 9 10 10 10 10 10 10 11 11 11 11 10 nan
nan 10 10 9 9 10 10 11 11 11 10 9 9 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 8 8 10 11 10 10 10 11 11 12 13 13 14 15 16 17 17 17 16 17 16 15 14 13 14 14 15 15 15 14 14 13 12 11 10 9 9 10 13 15 15 13 11 10 10 10 10 10 9 9 8 8 9 9 10 11 13 14 14 15 14 14 13 12 12 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 nan
nan 10 10 9 9 9 10 11 11 11 9 8 8 8 9 9 8 8 8 9 10 10 10 10 9 8 8 8 8 9 10 12 13 14 13 13 11 11 11 11 11 12 12 13 14 14 14 15 15 15 15 15 14 14 15 15 16 16 17 17 17 16 15 13 11 8 9 12 16 18 16 14 12 11 10 10 10 9 9 8 8 9 9 9 10 11 12 13 14 14 14 14 13 12 10 9 9 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 nan
nan 10 9 9 8 8 9 9 10 10 9 8 8 9 9 10 9 9 9 9 10 10 11 10 10 9 9 9 10 11 13 14 16 17 17 15 12 11 10 10 11 11 12 12 12 11 12 12 13 13 13 12 12 12 13 13 14 14 16 17 17 17 16 16 13 10 9 11 15 17 17 16 14 13 12 11 10 9 9 8 8 8 8 9 9 9 10 11 12 13 14 14 14 13 12 11 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 nan
nan 9 9 8 8 8 8 8 9 9 9 8 9 10 11 11 10 10 9 10 11 11 11 11 10 9 10 10 12 13 14 16 17 18 18 17 14 12 11 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 13 14 15 15 15 16 15 12 10 10 12 14 15 16 16 16 15 13 11 9 9 8 8 7 8 8 8 9 9 10 10 11 12 13 14 14 14 13 12 10 9 9 9 10 10 10 11 10 10 10 10 11 11 11 nan
nan 8 8 7 7 8 7 7 8 8 8 8 10 11 12 11 10 10 10 11 11 11 11 11 10 10 11 12 13 14 15 15 16 18 18 18 17 15 12 11 11 11 11 11 10 10 11 11 12 12 11 11 11 10 11 11 11 11 12 12 12 12 13 14 14 13 12 11 12 12 13 15 17 19 18 15 12 10 9 8 8 7 7 7 8 8 9 9 9 9 10 11 13 14 15 15 15 14 13 11 10 10 11 11 11 11 11 11 10 10 10 11 nan
nan 7 7 6 7 8 8 8 8 7 7 9 11 12 11 10 9 10 11 11 11 11 11 11 10 10 11 12 12 13 14 14 15 15 15 16 16 15 13 12 11 11 11 11 10 10 11 11 12 12 12 11 10 10 10 10 10 11 11 11 11 12 11 12 12 12 12 13 13 12 12 13 16 18 18 16 13 11 10 9 9 8 8 8 8 9 9 9 9 9 9 10 11 12 14 16 17 17 16 14 13 12 11 11 11 11 11 11 10 10 10 10 nan
nan 6 6 6 7 8 9 10 9 9 9 10 11 11 10 8 9 11 12 12 12 11 11 11 11 11 11 10 11 11 12 12 12 11 11 12 13 13 12 12 12 12 12 12 11 11 12 12 12 12 12 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 12 14 15 14 13 11 12 14 15 15 13 12 11 11 10 9 9 9 9 9 9 10 10 10 9 9 10 11 12 14 15 16 16 15 14 13 13 12 12 12 12 11 11 10 10 10 nan
nan 7 7 7 8 9 9 10 11 11 10 10 10 10 8 7 8 10 12 12 12 11 10 11 11 10 9 9 8 9 10 10 10 9 8 8 8 8 9 10 12 13 13 13 12 12 12 12 13 13 12 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 13 15 16 16 13 12 11 11 12 12 12 12 12 12 11 11 10 9 9 10 10 10 11 11 10 10 10 10 10 11 12 14 14 14 14 13 13 13 13 13 12 12 11 10 10 10 nan
nan 8 8 8 9 8 8 10 11 11 10 9 9 10 9 7 8 9 11 12 11 11 10 10 10 9 7 7 7 8 9 9 9 8 6 4 3 2 3 6 11 14 15 14 14 13 12 12 12 13 12 11 10 9 9 8 8 9 9 10 10 11 11 11 11 12 13 15 16 15 14 12 11 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 13 13 12 12 12 11 11 10 10 nan
nan 9 9 8 7 6 7 9 10 10 9 8 9 10 9 8 8 8 9 11 11 11 11 11 10 9 8 8 9 10 10 9 9 8 5 2 -0 -2 -1 4 10 14 16 16 15 14 12 12 12 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 12 13 14 14 14 13 12 11 9 8 9 9 10 11 11 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 nan
nan 8 8 7 7 7 8 9 9 9 8 8 9 10 9 9 8 7 8 10 12 13 13 11 10 10 11 11 12 12 11 10 9 7 5 2 -0 -2 -2 4 9 14 16 17 16 14 12 12 11 11 12 12 11 10 9 9 9 9 10 10 11 11 11 12 13 13 13 13 13 13 13 12 11 10 9 8 8 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 nan
nan 8 8 9 9 10 10 9 8 8 8 9 9 9 9 9 8 8 10 13 14 14 12 10 9 10 11 12 12 12 11 10 7 5 3 1 0 -1 -0 4 8 13 16 16 15 14 12 11 11 12 13 12 11 11 10 9 9 10 11 11 12 12 12 13 13 14 14 14 13 13 12 12 11 10 9 8 8 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 12 12 11 11 nan
nan 9 10 10 11 11 10 8 7 7 9 10 10 9 9 9 10 11 14 15 14 12 8 8 9 10 11 11 11 11 10 7 5 3 2 2 2 1 2 4 8 11 13 14 13 13 13 11 11 12 13 12 12 11 11 10 10 11 12 13 13 13 13 13 13 15 16 16 15 14 13 12 11 10 9 9 9 9 10 10 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 16 15 14 12 11 nan
nan 9 10 11 11 11 9 7 7 8 10 11 11 10 10 10 11 12 14 14 12 9 7 8 11 12 12 12 11 9 8 7 5 5 5 6 6 5 6 7 9 10 10 10 11 13 13 12 12 12 12 13 13 12 11 10 10 11 12 13 13 13 12 13 14 16 18 18 18 16 14 13 12 11 9 9 9 9 9 10 11 11 12 12 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 13 14 15 17 18 19 18 16 15 nan
nan 10 10 10 10 10 9 8 8 10 11 12 12 11 11 11 11 13 13 12 11 9 9 11 12 13 13 12 11 10 9 10 10 11 11 10 10 10 12 13 12 10 9 8 10 13 13 13 13 12 12 13 13 12 11 10 10 10 12 12 12 12 12 13 15 17 19 20 19 17 16 15 13 11 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 13 14 15 16 18 20 21 21 21 19 nan
nan 11 11 10 10 10 9 9 10 11 13 13 13 12 12 11 12 13 13 13 12 12 13 13 13 13 13 14 14 14 15 16 17 17 17 16 15 15 17 17 15 12 9 9 11 12 13 13 13 12 12 13 13 11 10 9 9 10 11 11 11 11 11 13 15 18 20 21 21 20 19 18 16 14 12 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 14 14 14 15 16 16 17 18 19 20 22 24 25 25 23 nan
nan 11 10 10 10 10 10 11 12 14 15 15 15 14 12 11 12 14 15 16 16 15 15 15 14 14 15 16 17 18 19 19 19 20 20 19 19 19 19 20 18 15 11 9 10 11 12 13 13 12 13 13 12 11 10 9 9 10 10 11 11 10 11 12 14 16 19 22 22 22 22 21 19 18 16 14 14 13 13 13 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 14 15 17 18 19 20 21 22 22 23 25 27 29 30 31 29 nan
nan 9 8 8 8 9 10 13 14 15 16 17 18 17 15 13 14 15 16 17 17 17 16 15 15 16 17 18 19 19 19 18 18 18 18 19 19 20 22 22 20 16 11 9 9 10 12 13 13 12 12 12 11 10 9 9 9 10 10 11 10 10 11 11 12 14 17 20 22 24 25 24 23 22 20 19 18 17 17 16 16 16 15 15 15 14 14 13 13 13 13 13 13 13 15 16 17 19 20 22 23 24 25 25 26 27 28 30 33 35 37 37 nan
nan 8 6 5 6 8 10 13 14 14 15 17 21 21 20 18 16 15 16 17 16 16 15 14 14 15 17 18 19 18 17 16 16 16 16 17 19 21 21 21 19 15 11 10 9 10 12 12 12 12 11 11 11 10 9 9 10 10 10 10 10 10 10 11 11 13 14 17 20 24 26 27 27 26 24 23 22 21 21 20 20 20 19 19 18 18 18 18 17 17 17 18 18 18 20 21 22 23 24 25 26 26 26 27 27 27 28 29 31 33 35 39 nan
nan 8 6 6 6 7 9 11 12 11 12 14 18 22 22 22 20 19 18 17 15 14 12 11 12 13 15 16 17 16 16 15 15 15 15 16 17 18 17 16 15 13 12 11 11 12 13 12 12 11 11 11 11 10 9 9 9 9 10 9 9 9 10 10 11 12 13 14 18 23 26 28 29 28 27 26 25 24 23 23 23 23 23 23 22 22 22 22 22 22 22 23 23 23 24 24 25 25 26 26 26 26 26 26 25 24 24 23 21 19 21 27 nan
nan 8 7 7 7 8 8 9 10 10 10 11 13 16 19 22 24 24 23 19 14 11 10 10 10 12 14 14 15 15 14 14 13 13 13 13 13 12 11 11 12 11 11 11 12 14 14 13 12 11 10 11 11 10 9 8 8 8 9 8 8 8 9 10 10 11 12 13 15 19 23 27 28 28 27 27 27 26 25 25 25 25 25 25 25 25 25 25 25 25 25 25 26 26 26 26 26 26 25 25 25 24 23 22 20 17 14 11 8 5 4 8 nan
nan 8 7 7 7 7 8 8 9 9 8 8 9 11 14 20 25 27 25 20 14 10 9 8 10 12 13 13 13 13 13 13 12 12 11 10 10 9 9 10 10 10 10 11 14 15 15 14 12 11 11 10 10 9 8 7 7 8 8 8 8 8 8 9 9 10 11 12 13 15 18 21 23 24 25 26 27 27 26 26 25 25 25 26 26 26 26 26 26 26 26 26 26 26 26 25 25 24 24 23 21 19 17 15 11 6 2 -1 -1 -0 1 2 nan
nan 6 7 7 8 8 9 9 9 8 6 5 6 9 12 17 23 26 24 19 14 10 9 9 10 12 12 12 12 12 12 12 12 11 10 9 10 11 12 12 10 9 9 10 15 17 17 15 13 12 11 10 9 8 7 7 7 7 8 8 7 7 7 8 9 10 11 11 11 11 11 13 14 16 19 22 24 25 26 26 26 26 26 26 26 26 26 26 26 26 26 26 25 24 24 23 23 21 20 18 17 14 11 6 2 -3 -5 -4 -0 3 6 7 nan
nan 5 7 8 10 11 11 11 11 7 2 0 3 7 11 16 21 24 23 19 14 12 11 11 12 12 12 11 11 11 12 12 12 11 11 11 12 13 15 13 10 7 6 10 16 19 19 17 14 12 11 9 8 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 7 8 10 13 15 16 18 21 24 25 27 26 26 26 26 25 25 25 25 24 24 23 22 21 20 19 18 16 14 11 8 5 2 -2 -4 -3 1 5 8 10 10 nan
nan 6 8 10 13 14 12 12 11 5 -2 -3 0 5 10 16 21 22 20 16 14 13 13 13 13 12 11 11 11 11 11 12 12 12 12 13 14 15 14 11 7 4 4 10 16 20 21 17 14 12 10 8 7 7 7 7 7 7 6 6 6 6 7 8 10 10 10 10 10 10 9 8 9 9 10 10 10 11 15 19 23 26 26 25 25 25 24 24 24 23 23 22 20 19 18 17 15 14 12 10 7 5 3 2 1 1 3 5 8 10 10 10 nan
nan 8 9 12 14 14 12 12 11 5 -0 -2 -0 5 12 18 20 19 15 13 13 14 14 13 12 11 11 11 11 11 11 11 12 12 13 13 14 14 11 7 3 0 2 9 15 20 20 17 14 12 9 8 7 7 7 8 7 7 6 6 6 6 7 9 10 11 11 11 11 10 10 10 11 12 11 11 11 12 14 16 19 22 22 23 23 21 20 20 20 21 21 19 18 17 15 14 12 10 9 7 5 4 4 4 3 4 5 7 9 10 10 10 nan
nan 11 11 12 13 13 12 12 11 7 4 3 4 8 13 17 17 14 11 11 13 14 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 8 4 0 -1 3 8 14 18 18 16 14 12 10 8 7 8 8 8 8 7 7 7 7 6 7 9 10 11 12 12 11 10 11 11 12 13 13 14 15 14 14 13 14 14 13 12 12 11 11 12 14 17 17 16 15 14 12 11 9 8 6 5 5 5 5 4 3 4 6 8 9 9 9 10 nan
nan 12 12 12 12 12 12 13 12 10 8 8 9 11 13 14 13 10 9 11 12 12 11 11 12 12 12 11 11 11 11 11 11 12 12 12 11 9 6 4 1 1 3 8 13 16 16 15 14 12 10 9 8 8 9 10 10 9 9 8 8 8 8 8 9 11 11 11 11 11 11 11 12 13 14 15 15 14 12 10 8 5 2 -0 -2 -0 2 4 8 11 11 11 10 10 9 9 8 7 6 6 6 6 5 4 5 6 7 9 9 9 9 9 nan
nan 13 13 12 11 11 12 12 11 10 9 9 11 12 12 12 10 9 9 10 11 11 10 11 11 12 12 12 12 11 11 11 11 12 12 12 12 10 8 6 4 4 5 8 12 15 15 15 14 12 11 10 9 9 10 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 12 14 14 14 13 10 8 4 1 -1 -3 -2 -1 1 2 3 2 1 2 3 4 5 7 8 7 8 8 8 7 7 7 8 8 9 9 9 9 9 10 nan
nan 12 12 11 10 10 11 11 11 10 9 9 10 11 11 10 9 8 9 10 10 11 11 11 12 12 13 14 13 12 11 10 11 12 12 12 12 11 10 8 6 6 6 9 12 14 15 15 14 13 12 11 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 11 11 11 12 13 13 13 13 11 9 7 6 4 4 4 5 5 5 3 0 -3 -6 -5 -3 -2 -0 3 6 8 9 10 9 9 9 9 10 9 9 9 9 9 10 10 nan
nan 10 10 10 10 10 11 11 10 10 9 9 10 10 9 8 8 7 8 9 11 12 12 12 12 13 14 15 15 13 11 10 10 10 10 11 11 11 10 9 7 6 7 9 12 13 14 14 14 13 13 12 11 11 10 10 11 11 11 11 10 10 9 9 10 9 9 10 10 11 11 12 13 13 13 13 12 11 9 9 8 8 9 9 9 8 7 5 2 -0 -2 -2 -2 -3 -2 -1 2 4 8 10 11 11 11 10 10 10 10 10 10 10 11 12 nan
nan 9 9 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 8 10 12 13 13 11 11 12 15 16 16 14 11 10 9 8 7 7 8 9 9 8 7 7 8 10 12 12 12 13 13 13 13 12 12 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 14 14 13 12 11 10 10 10 11 11 10 8 8 7 6 6 6 5 4 3 1 0 0 3 8 11 13 13 12 12 12 12 12 12 12 14 15 14 nan
nan 9 9 9 10 10 10 10 10 9 9 9 9 9 8 7 7 7 9 12 13 13 11 9 10 12 15 16 15 12 10 9 8 7 6 7 8 8 8 7 7 8 9 12 13 13 13 13 13 14 14 13 12 11 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 10 11 11 12 13 14 14 13 12 12 12 12 12 12 11 10 9 9 9 8 9 9 8 8 8 7 5 5 8 11 13 13 12 12 12 13 14 14 14 16 17 17 15 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 8 11 12 12 11 9 9 11 13 13 13 12 11 11 10 9 9 8 9 9 8 7 7 8 9 11 14 17 17 17 16 15 15 15 14 13 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 10 11 12 12 13 13 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 11 11 10 7 4 3 4 6 8 11 13 15 17 17 16 16 nan
nan 9 9 9 9 10 10 10 10 10 10 11 11 10 9 7 6 8 10 11 11 10 10 10 11 12 12 11 11 12 13 13 13 12 11 11 10 9 8 9 10 11 13 16 19 20 21 19 17 16 16 15 14 12 12 11 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 11 12 12 11 11 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 8 4 -2 -6 -6 -5 -3 0 4 7 9 11 12 13 16 nan
nan 9 9 9 9 10 10 10 10 11 11 11 11 11 9 7 6 7 8 11 11 11 11 12 12 12 11 12 13 14 16 16 15 13 12 11 11 11 11 12 12 14 15 18 19 21 21 19 18 17 17 17 16 14 13 12 11 10 10 10 9 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 11 11 11 11 11 12 12 12 12 11 10 10 10 9 9 10 10 10 9 9 8 5 2 -2 -4 -4 -4 -4 -3 -3 -3 -2 0 3 7 11 nan
nan 9 9 9 10 10 9 10 10 10 11 12 12 10 8 7 7 8 10 12 14 14 13 13 13 12 12 13 14 16 17 17 15 14 12 12 12 13 13 13 13 14 16 17 19 21 21 20 19 17 17 17 17 16 14 12 11 11 10 9 8 8 8 7 7 8 8 9 9 10 10 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 9 10 9 9 9 9 9 8 6 5 5 5 4 3 2 1 -1 -4 -5 -4 -3 -1 1 nan
nan 9 10 10 10 10 10 9 9 9 10 11 11 10 9 9 10 12 14 15 15 15 14 14 13 13 12 13 14 16 18 18 17 15 13 12 12 12 13 13 13 13 14 16 19 21 22 21 20 18 16 16 16 16 15 14 12 12 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 12 11 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 6 4 3 1 0 -1 -3 -4 nan
nan 10 10 10 10 10 10 10 9 8 8 9 11 12 13 14 14 15 15 15 15 14 14 14 13 13 12 13 15 17 19 20 19 17 15 12 11 11 11 11 11 12 13 16 18 20 21 21 20 18 17 16 17 17 16 16 14 13 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 13 13 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 7 7 7 8 7 7 7 6 6 4 2 -0 nan
nan 10 10 10 10 10 10 10 10 8 8 10 12 15 16 16 15 14 14 13 13 13 13 13 13 12 12 13 15 18 20 20 19 18 15 13 10 10 9 10 10 11 13 15 17 19 21 22 21 19 18 18 18 18 19 18 16 14 13 13 12 11 10 10 10 10 10 10 10 9 9 10 10 10 11 10 10 9 10 10 10 11 13 13 12 13 13 12 11 11 11 11 11 10 10 9 9 8 8 8 8 7 7 8 8 8 8 8 8 7 6 5 nan
nan 10 11 11 11 11 11 11 11 10 10 12 14 16 15 14 12 12 11 12 12 12 12 12 12 11 11 13 15 17 18 18 17 16 14 12 10 9 8 8 9 10 12 14 16 18 20 22 22 21 19 19 19 20 21 20 17 16 14 13 13 12 11 11 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 12 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 7 6 nan
nan 11 11 11 11 11 11 12 12 12 12 13 14 14 13 11 10 10 11 11 12 12 12 11 11 11 11 12 14 15 15 15 15 14 13 12 10 8 7 6 7 9 11 12 14 16 19 21 22 22 21 20 20 21 21 20 18 16 15 13 13 12 11 11 11 10 10 10 9 9 9 10 10 10 11 10 10 9 8 8 8 9 9 10 12 13 13 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 nan
nan 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 10 10 11 11 12 12 12 11 11 11 11 12 13 14 14 14 13 12 12 11 10 9 7 6 6 8 9 11 12 15 18 20 22 23 22 21 21 21 21 20 18 16 13 13 12 11 11 11 12 11 11 10 10 9 9 9 9 9 10 10 9 9 8 7 8 9 9 10 12 12 13 13 12 12 11 11 11 10 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 12 12 12 12 12 12 12 12 12 12 12 11 12 12 11 11 10 11 11 12 12 12 12 11 11 11 11 12 13 14 14 13 12 12 11 11 10 8 7 7 7 7 9 10 13 15 18 21 22 22 22 21 21 20 19 17 15 13 12 12 11 11 11 12 12 12 11 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 11 11 12 12 12 11 11 12 12 12 11 11 11 12 12 12 12 12 12 11 11 12 12 13 13 13 12 12 12 12 12 11 10 9 8 7 7 7 8 10 13 16 18 19 21 23 23 21 20 18 17 15 14 13 12 11 11 12 12 12 12 11 10 10 9 9 9 10 10 11 12 13 13 13 12 12 11 12 11 11 12 11 11 11 12 12 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 10 9 8 6 7 8 11 13 14 16 19 23 25 24 22 20 17 16 15 15 14 13 14 14 13 12 12 11 10 10 10 10 10 10 11 11 13 13 13 13 12 11 11 11 11 12 11 11 11 12 13 14 15 13 11 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 9 7 7 8 10 10 10 12 16 21 24 26 25 23 20 18 17 16 16 16 16 15 13 12 11 10 10 10 10 10 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 11 12 13 14 13 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 8 7 8 11 15 18 22 23 22 21 20 19 18 17 16 16 15 14 13 12 10 9 10 10 11 11 11 12 11 11 11 10 10 10 9 10 11 11 11 11 11 11 12 12 12 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 11 11 12 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 8 7 7 7 9 11 13 15 16 16 17 17 17 17 16 16 17 17 16 14 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 10 9 9 8 8 8 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 11 11 11 10 10 9 8 8 7 7 7 7 8 8 9 9 11 12 12 13 14 15 17 18 17 15 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 13 13 12 11 10 9 9 9 9 8 8 9 9 9 10 10 10 10 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 11 12 12 13 13 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 13 12 12 11 11 11 11 11 11 11 10 10 9 9 8 7 6 5 4 4 4 5 5 6 7 7 8 13 18 18 17 16 13 11 11 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 11 12 13 13 13 13 13 11 10 9 8 8 9 9 8 9 9 10 10 11 11 11 11 11 11 nan
nan 10 10 11 11 11 11 11 11 11 11 10 10 11 12 12 13 13 13 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 7 6 5 4 4 3 3 2 3 2 3 7 11 14 17 19 17 16 13 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 14 15 13 12 11 9 8 8 8 7 7 8 9 9 10 11 11 12 11 11 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
2 1 3 6 11 16 18 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 17 18 14 9 6 5 3 1 1 3 3 3 4 3 1 1 2 5 9 11 31 73 131 230 386 547 668 746 827 880 784 663 567 502 548 552 557 571 589 619 658 700 747 796 830 892 951 994 1025 1053 1092 1122 1142 1152 1160 1182 1181 1140 1086 1100 1102 1093 1074 1055 1050
1 2 6 10 14 15 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 16 23 23 20 14 9 4 4 4 4 4 5 6 5 5 4 3 2 1 1 6 19 45 120 229 349 467 578 663 721 719 654 550 472 489 528 556 572 582 608 642 683 726 776 823 877 927 961 989 1022 1053 1082 1104 1110 1118 1109 1107 1130 1067 1072 1073 1063 1046 1037 1022
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6 8 12 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 2 11 21 26 26 22 17 12 8 6 6 7 8 9 9 8 7 6 4 2 1 1 1 10 31 66 147 252 368 477 562 573 559 539 504 492 499 502 503 510 539 589 635 683 731 780 817 852 873 890 918 943 955 961 956 936 926 989 1036 1043 1011 993 1000 1014 1021
9 14 19 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 1 1 0 1 2 6 12 16 18 18 17 13 6 4 4 5 6 7 6 7 7 6 5 4 3 2 1 2 4 18 66 143 241 359 466 510 501 456 420 459 462 453 445 442 477 523 574 624 662 713 762 796 813 817 846 868 885 897 911 914 935 970 997 999 966 961 972 987 996
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10 2 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 10 13 13 13 16 13 8 3 1 3 4 6 11 18 24 28 17 8 3 2 1 0 0 0 1 1 3 4 5 5 5 4 4 4 4 4 3 3 5 16 49 163 237 277 281 251 254 243 224 185 123 243 324 375 404 439 488 535 576 607 631 674 721 770 809 828 837 834 824 810 799 811 844 888 925
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8 7 7 7 8 9 9 9 9 9 8 7 7 9 11 11 10 9 7 6 6 6 7 6 6 6 6 6 7 5 3 1 0 0 0 0 0 0 0 0 1 4 8 12 14 15 14 12 10 12 10 8 7 13 26 19 7 2 2 2 2 3 3 5 4 3 2 2 2 2 3 3 4 4 5 6 5 4 4 3 3 3 3 2 3 3 3 2 1 1 2 1 0 1 4 13 33 67 100 122 127 113 105 102 119 148 159 168 188 219 257 290 325
9 9 10 10 11 13 13 12 12 12 10 9 10 10 10 9 8 8 8 7 7 7 8 7 7 7 7 6 6 5 3 2 1 0 0 0 0 0 0 0 1 4 9 12 14 15 15 13 10 10 10 9 6 6 14 16 7 1 2 2 2 2 2 3 3 3 2 2 1 1 1 2 2 3 4 5 5 5 4 3 3 2 3 2 2 2 2 1 1 2 4 4 2 2 2 3 5 13 30 49 61 63 64 56 51 77 109 133 159 188 212 237 268
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9 9 11 13 14 15 16 16 15 15 14 13 12 11 9 8 8 9 8 8 7 7 7 7 7 7 6 7 7 6 5 4 3 3 2 0 0 0 0 2 6 14 18 20 20 20 20 17 13 9 6 6 5 4 3 2 1 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 1 1 1 2 3 4 4 3 2 2 2 2 2 2 1 1 0 0 1 4 7 9 15 16 11 5 4 4 7 9 6 6 6 9 18 33 57 95 127 151 170
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