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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 6 6 7 7 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 6 6 5 4 4 4 4 4 5 5 6 7 8 9 9 9 8 8 8 8 9 9 10 12 13 14 14 13 13 13 12 11 10 9 9 8 9 9 10 10 10 10 11 11 12 12 12 11 11 12 14 16 18 19 20 20 19 19 18 18 17 17 17 16 16 17 17 17 16 14 12 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 13 14 14 14 13 12 12 12 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 12 15 17 19 20 20 19 17 16 14 14 14 13 nan
nan 6 6 6 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 5 5 5 6 6 8 9 10 11 11 10 8 6 6 7 9 10 11 11 12 13 15 15 14 12 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 11 12 12 12 11 10 10 11 11 13 15 17 18 18 18 17 17 17 16 16 15 14 13 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 11 12 13 13 12 12 11 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 11 13 14 16 17 16 15 14 12 11 11 10 10 nan
nan 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 11 12 13 13 10 7 5 4 6 8 11 13 14 14 15 15 14 12 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 11 12 11 11 11 10 10 10 10 11 12 13 13 14 14 14 13 13 13 12 12 11 11 11 11 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 9 10 10 10 10 11 12 12 12 12 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 10 9 9 9 9 10 11 13 13 13 12 11 10 10 9 9 9 nan
nan 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 7 7 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 10 12 12 11 9 6 4 3 4 6 10 13 15 15 15 14 12 10 8 7 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 10 10 10 11 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 nan
nan 7 6 6 6 6 6 5 5 4 4 4 3 3 3 4 4 5 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 11 10 9 6 4 3 3 3 5 9 12 14 14 14 12 10 9 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 10 11 12 12 12 11 10 10 10 10 10 11 11 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 11 10 10 9 9 9 8 8 9 9 8 8 9 9 10 10 10 9 9 8 8 nan
nan 7 6 5 5 5 5 5 5 5 6 5 3 1 1 1 2 3 4 5 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 10 11 9 7 5 4 4 4 5 7 9 11 12 12 12 10 9 8 7 7 8 8 8 8 7 7 8 8 9 9 9 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 8 8 8 10 11 12 13 12 11 11 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 7 8 8 9 9 8 8 8 8 nan
nan 8 6 5 5 5 4 5 7 9 11 11 7 3 1 1 1 2 3 5 6 7 7 7 7 7 7 8 8 8 8 8 7 6 7 8 11 11 9 7 5 4 5 7 8 10 10 11 11 11 10 9 8 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 11 9 8 8 9 10 12 12 13 12 11 11 10 10 11 12 12 12 12 12 12 12 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 9 8 8 8 7 7 6 6 6 7 7 7 7 7 8 nan
nan 8 6 5 4 4 4 5 8 12 16 16 12 7 5 3 2 2 3 5 6 8 8 8 8 8 8 8 8 8 7 7 6 6 6 8 9 9 7 5 4 4 6 9 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 9 9 9 10 10 10 10 11 12 13 13 11 10 9 9 10 11 12 12 12 12 12 11 10 10 11 11 12 11 12 12 12 11 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 10 9 9 8 8 7 6 5 4 4 4 5 6 7 7 7 nan
nan 9 6 4 3 3 5 7 11 15 18 18 14 11 8 6 5 3 4 5 7 8 9 9 9 9 9 9 8 7 7 6 6 5 5 7 7 7 5 4 3 5 8 10 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 9 9 9 9 9 9 10 10 10 11 11 12 12 11 10 10 10 11 10 10 10 11 12 13 12 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 12 11 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 9 10 11 11 10 9 9 9 8 8 6 5 3 3 4 5 6 7 7 nan
nan 8 4 2 1 2 5 10 15 18 19 17 15 12 11 9 6 5 5 6 8 8 9 9 9 9 9 8 7 7 6 6 5 5 5 5 6 6 6 6 6 7 9 10 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 9 9 8 8 9 9 9 9 10 11 11 12 12 12 11 11 11 11 10 11 11 11 11 10 10 10 11 11 11 10 10 9 10 10 11 10 10 10 10 10 9 9 10 11 11 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 10 9 8 8 8 9 8 7 6 5 4 5 6 7 7 nan
nan 7 3 -0 -1 2 7 13 18 19 18 16 15 13 12 9 7 6 6 6 7 7 7 7 7 7 7 7 6 7 7 6 6 5 5 5 6 8 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 12 12 11 11 10 10 11 11 11 10 9 9 10 10 11 10 10 10 10 10 10 11 11 10 10 10 10 9 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 8 8 7 7 9 9 9 9 7 6 6 7 7 7 nan
nan 4 0 -1 -0 4 10 17 20 19 16 15 13 12 11 9 7 6 6 6 6 5 5 4 4 4 5 6 7 8 8 8 8 7 6 6 8 9 12 13 12 11 10 9 9 9 10 10 10 11 11 11 10 10 9 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 11 11 11 12 12 11 10 10 11 11 10 10 9 9 9 9 10 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 9 10 10 10 9 8 8 8 8 8 nan
nan 2 -0 0 3 8 15 21 21 18 14 13 11 10 9 7 6 5 5 4 4 3 2 2 1 2 4 7 9 11 12 11 10 8 8 7 8 9 11 12 11 11 10 9 9 9 10 11 12 12 12 12 11 10 9 7 6 5 5 5 6 6 7 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 9 9 10 10 10 11 11 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 10 10 10 10 10 10 11 11 10 9 9 9 9 9 nan
nan 3 3 5 9 13 19 22 20 16 13 10 9 8 7 6 5 4 4 3 3 2 2 1 1 3 6 10 13 15 15 13 11 9 8 8 8 9 9 10 10 10 10 9 9 10 10 11 12 13 14 13 13 11 9 7 5 3 2 2 2 3 5 7 8 9 9 9 10 10 10 10 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 10 11 12 12 12 12 12 11 11 10 10 10 10 9 9 9 8 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 nan
nan 8 9 11 14 16 19 18 15 12 9 8 8 7 7 6 6 5 4 4 3 3 3 3 5 7 9 12 14 16 16 14 12 10 9 8 8 8 9 10 10 10 10 10 10 10 11 12 13 13 14 14 14 12 10 7 3 1 -1 -2 -2 -1 2 5 7 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 12 12 12 11 11 11 10 10 9 9 8 8 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 8 9 11 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 9 9 10 10 10 10 10 10 10 9 9 8 8 9 10 nan
nan 11 13 14 14 14 13 11 9 8 8 10 11 11 10 10 9 9 7 6 5 5 6 8 10 12 13 13 14 15 14 13 11 10 9 8 8 9 9 10 10 10 10 9 9 10 10 11 12 13 14 15 15 13 11 8 4 0 -2 -4 -5 -4 0 4 6 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 9 9 9 9 10 10 9 9 9 9 10 10 10 10 8 7 7 9 12 13 12 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 11 10 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 nan
nan 12 12 12 11 9 7 6 7 9 12 15 17 17 16 14 13 12 10 8 7 7 9 12 13 14 13 13 13 14 13 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 13 14 15 15 14 12 10 6 3 -0 -3 -5 -4 -1 3 5 7 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 7 7 8 10 12 12 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 9 10 10 8 6 5 7 10 14 18 21 22 20 18 16 14 12 11 9 9 9 10 11 12 12 12 12 13 14 13 11 9 8 8 7 8 8 8 8 9 9 9 8 8 8 9 10 11 12 13 15 16 15 14 12 9 6 3 -0 -2 -2 0 2 4 6 7 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 8 7 7 8 10 12 12 11 10 10 9 9 9 9 9 9 10 10 10 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 nan
nan 6 7 8 8 9 10 13 16 20 22 23 22 20 17 14 12 11 10 9 9 9 9 9 10 10 10 12 15 16 14 11 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 11 12 15 16 17 17 15 13 9 5 3 1 1 2 2 3 5 6 7 8 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 8 9 9 10 10 11 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 9 11 12 11 10 9 9 9 10 10 9 9 9 10 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 nan
nan 4 5 7 10 14 17 19 21 22 22 21 19 17 15 12 11 10 9 8 8 8 8 8 8 8 9 13 17 17 14 10 7 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 9 10 12 14 17 19 19 18 15 10 7 4 3 3 3 3 4 5 6 7 8 9 9 9 9 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 12 13 13 13 12 11 11 10 10 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 10 11 11 9 8 8 9 10 10 10 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 9 10 10 10 10 10 11 11 11 11 10 10 9 9 nan
nan 6 6 9 13 17 21 23 23 22 21 18 16 14 12 11 10 10 9 8 8 8 8 7 7 7 10 14 18 17 13 9 5 4 4 5 6 6 7 7 8 9 9 8 8 8 8 8 9 10 11 14 18 20 20 19 15 10 7 5 5 4 4 4 5 6 7 8 8 9 9 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 9 9 9 9 9 8 8 8 8 9 11 13 14 13 12 11 11 10 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 9 8 8 9 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 10 9 9 nan
nan 9 9 12 15 18 20 21 21 20 19 16 14 12 11 10 10 9 9 9 9 8 8 7 6 7 11 16 19 18 13 9 5 3 4 5 6 7 7 8 8 9 9 8 8 8 8 8 9 10 11 13 16 19 19 17 14 9 6 5 5 5 5 6 7 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 10 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 9 9 10 10 10 10 9 nan
nan 11 12 13 15 16 17 17 17 16 16 14 12 11 10 10 9 9 8 8 8 8 7 6 6 7 12 16 18 17 14 10 6 5 5 6 7 7 7 8 8 9 8 8 8 8 8 9 10 10 11 12 13 15 15 14 11 8 6 5 5 6 6 7 8 9 9 9 10 10 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 10 10 10 11 11 11 10 10 10 9 9 8 7 7 8 9 9 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 nan
nan 11 12 13 14 14 14 13 12 12 12 12 11 10 10 10 9 8 8 7 7 7 6 5 5 8 13 16 17 16 13 10 8 7 7 7 7 7 8 8 9 9 8 8 8 8 8 9 10 12 12 12 12 12 12 12 10 8 6 6 6 7 7 8 8 9 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 11 12 12 12 11 10 10 10 11 11 12 12 12 11 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 nan
nan 11 12 13 14 14 13 12 11 10 10 10 10 10 10 10 9 8 7 5 4 3 2 2 5 11 15 16 15 13 11 10 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 10 12 13 13 13 12 11 11 10 9 8 7 8 8 8 8 9 9 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 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 9 9 9 9 10 10 10 10 10 9 9 10 10 9 8 8 8 8 9 10 11 12 13 12 11 10 10 11 11 12 12 12 11 10 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 nan
nan 11 12 14 14 14 13 12 11 10 10 9 9 9 9 10 9 8 6 3 1 -1 -1 2 9 15 18 17 13 10 8 8 9 10 10 9 8 8 8 8 9 9 9 8 8 8 9 9 10 12 13 13 13 12 11 11 10 10 9 9 9 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 9 9 9 8 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 9 8 8 8 8 9 10 11 12 12 12 11 11 11 11 12 12 12 12 11 10 9 8 8 8 9 9 9 9 9 10 10 10 11 11 11 10 nan
nan 12 13 14 15 15 14 12 11 10 9 8 8 8 8 8 8 7 5 1 -1 -2 0 7 15 19 19 16 11 8 6 7 9 10 10 10 9 8 8 9 9 9 9 9 8 8 9 10 10 11 12 12 12 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 9 10 10 11 12 12 11 11 11 11 12 12 12 11 10 10 9 8 8 9 9 9 10 10 10 11 11 11 12 12 12 11 nan
nan 11 12 13 14 15 14 13 11 10 8 7 6 6 6 6 5 5 3 1 -0 1 6 15 21 21 18 14 10 7 6 7 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 11 11 11 12 12 13 13 13 12 11 nan
nan 10 10 12 14 17 19 19 17 15 12 8 6 5 4 3 2 2 3 2 2 6 12 20 22 20 16 12 10 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 10 10 10 10 10 9 9 8 8 8 9 9 10 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 9 8 7 7 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 13 13 13 13 13 12 11 nan
nan 11 11 12 16 20 25 27 26 23 19 13 8 4 2 -0 0 2 4 5 6 10 16 19 19 16 12 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 10 11 11 12 12 11 10 9 9 9 9 9 9 9 8 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 11 12 12 11 11 10 9 9 9 10 9 9 10 11 12 12 13 13 14 14 14 14 13 13 13 12 12 11 10 nan
nan 13 13 15 18 21 25 27 28 26 23 17 10 4 -0 -2 -0 4 8 11 12 14 15 15 13 11 10 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 9 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 12 12 12 11 10 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 10 11 12 12 12 13 14 14 14 14 13 12 12 11 10 10 9 nan
nan 14 16 19 21 21 21 22 22 22 21 16 9 3 -1 -2 2 8 13 16 16 15 13 11 10 9 9 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 10 11 11 12 12 12 11 9 8 7 7 7 8 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 10 11 12 13 14 14 14 13 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 13 13 12 12 12 11 11 10 10 10 nan
nan 15 17 20 22 21 18 17 16 16 15 12 7 1 -1 -0 4 10 15 17 16 13 11 9 8 8 9 10 11 12 12 11 10 9 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 7 6 7 8 9 10 10 10 10 9 10 10 10 11 11 11 11 10 9 9 9 10 12 14 15 14 14 13 12 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 12 13 12 12 11 11 11 11 11 10 10 10 nan
nan 15 17 19 20 18 16 13 12 11 11 9 6 2 2 2 5 9 13 14 13 11 9 8 8 8 9 10 10 11 11 11 10 10 9 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 8 7 8 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 10 11 13 13 13 13 12 11 11 12 12 13 13 12 12 12 13 13 14 14 13 13 13 12 11 11 11 11 11 11 10 10 10 10 nan
nan 13 15 16 16 15 13 11 10 9 8 8 7 5 5 5 6 8 10 10 10 9 8 8 7 8 8 9 9 9 10 10 10 10 9 9 8 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 10 12 13 13 12 11 10 10 10 10 10 10 11 11 10 10 10 10 9 8 8 8 8 9 10 11 12 12 11 11 12 13 13 13 12 12 13 13 13 14 14 13 13 13 12 11 10 10 10 11 10 10 10 10 10 nan
nan 11 11 12 12 11 10 9 9 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 11 11 11 12 12 12 13 13 14 13 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 8 9 10 10 11 11 12 13 13 12 12 12 12 12 13 12 12 13 13 12 12 11 10 10 10 10 10 10 10 10 10 nan
nan 12 12 11 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 8 8 8 7 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 9 9 10 9 9 9 10 10 10 10 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 13 14 14 14 14 13 12 11 10 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 8 8 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 nan
nan 17 17 14 12 10 9 9 10 10 11 11 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 14 15 15 15 15 13 12 11 10 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 21 22 20 16 14 12 11 12 12 12 12 12 11 10 9 8 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 14 15 16 16 14 12 11 10 9 9 9 10 10 11 11 11 10 10 9 9 8 7 8 8 10 11 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 10 nan
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nan 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 10 10 10 10 11 11 11 11 10 11 12 13 14 14 14 13 12 12 13 12 11 9 8 7 8 8 9 10 11 12 13 13 12 11 9 6 5 5 5 5 6 7 9 11 12 13 14 14 13 13 13 12 12 12 12 12 12 12 12 11 12 12 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 14 14 14 nan
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nan 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 10 10 10 9 9 8 9 10 10 10 9 8 7 6 7 7 8 9 10 9 8 7 6 6 7 7 7 6 5 5 6 8 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 13 13 12 12 12 12 13 12 nan
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nan 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 12 12 11 11 11 12 12 12 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 11 11 10 10 10 10 11 11 11 11 11 11 12 13 13 14 14 13 12 12 12 12 12 13 14 14 14 14 13 10 6 5 4 5 7 9 10 11 12 13 15 17 17 17 16 15 15 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 12 12 12 11 11 10 11 11 11 12 12 12 13 13 14 15 15 15 14 14 13 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 13 13 13 14 13 13 13 13 13 12 12 12 nan
nan 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 11 11 12 13 12 12 11 11 11 11 11 11 11 12 12 12 9 5 5 5 6 8 9 10 10 11 12 14 16 17 17 17 16 16 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 11 12 13 14 15 15 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 13 14 15 15 15 15 14 13 13 12 12 12 nan
nan 13 14 14 14 14 15 15 15 15 14 14 14 13 13 13 13 13 13 13 13 13 14 14 14 14 15 15 15 15 15 15 14 13 12 12 12 12 12 12 12 13 12 12 12 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 9 9 9 10 11 11 11 11 10 10 10 10 10 11 11 13 14 14 11 8 7 6 7 9 10 10 10 11 12 14 15 16 17 17 17 16 15 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 10 10 11 12 14 14 14 14 14 14 13 13 13 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 15 14 13 13 12 12 12 11 nan
nan 12 13 13 13 14 14 14 14 14 14 14 14 13 13 12 12 12 12 13 13 13 14 14 14 14 14 15 15 15 15 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 12 13 14 14 11 9 8 7 8 9 10 10 10 11 12 13 13 14 15 16 17 17 16 14 13 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 12 12 13 12 11 10 10 10 11 12 13 13 13 14 14 14 14 13 13 14 14 13 13 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 nan
nan 11 11 12 12 12 12 12 13 13 13 13 13 12 12 12 11 12 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 11 10 9 9 9 9 10 10 10 11 11 11 12 12 12 12 13 14 15 14 14 12 11 11 11 11 12 12 12 12 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 12 12 13 13 13 13 14 14 14 14 13 13 13 13 14 14 13 12 11 11 11 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 nan
nan 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 11 11 11 11 10 9 9 9 10 10 11 11 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 12 12 12 13 13 14 14 14 13 13 13 13 13 14 14 13 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 12 12 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 2 3 6 8 9 8 6 6 6 1 0 0 0 0 0 0 0 0 0 0 1 2 4 9 17 27 26 18 7 3 7 16 26 37 48 71 89 101 105 103 98 98 99 99 100 106 108 107 106 106 111 121 153 204 270 351 414 436 409 340 258 206 173 147 123 100 84 66 52 43 36 31 29 32 42 57 79 106 124 139 151 163 165 150 114 66 33 28 27 25 23 25 31 35 40 42 38 37 42 55 70 84 122 161 197 233 269 303 327 362 403 450 509 578 654 730 793 828 835 828 801 754 688 607 557 520 494 476 460 437 414 399 394 399 393 383 361 327 288 254 228 209 193 179 176 180 191 214 245 268 305 349 388 417 437 459 478 500 531 573 621 666 706 735 744 725 706 694 694 711 776 796 772 722
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