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 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 2 2 2 1 1 1 2 3 4 5 5 6 6 6 6 6 6 6 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 3 3 3 3 3 4 4 6 11 18 21 nan
nan 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 2 1 1 1 2 2 3 4 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 4 6 11 18 21 nan
nan 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 1 1 2 3 3 4 5 5 5 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 6 12 19 22 nan
nan 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 1 1 2 2 3 3 4 5 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 4 7 13 21 22 nan
nan 7 5 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 1 2 2 3 3 4 4 5 6 6 7 7 7 6 5 4 6 7 6 6 5 6 6 6 7 8 6 3 1 3 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 6 8 10 16 20 17 nan
nan 9 8 5 3 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 2 3 4 4 4 5 6 7 8 9 9 9 6 2 1 5 8 7 4 3 6 8 9 10 10 7 1 -2 1 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 8 12 14 15 16 15 11 nan
nan 10 10 7 4 2 2 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 2 2 2 4 4 5 5 6 7 9 11 11 9 8 5 -0 -0 5 8 5 0 1 7 11 10 8 8 5 0 -1 1 4 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 8 14 18 18 14 12 9 6 nan
nan 8 9 8 6 4 4 4 5 5 4 4 4 3 3 3 3 4 4 4 5 6 7 7 5 3 2 3 4 5 5 6 7 8 10 13 12 8 6 4 2 2 5 6 3 -1 1 9 12 7 3 2 2 2 2 4 5 5 6 6 6 6 6 6 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 12 19 22 17 11 8 6 5 nan
nan 6 7 8 8 7 8 9 8 8 7 6 5 4 4 4 4 4 5 6 7 9 10 9 7 3 2 3 5 5 4 5 7 9 10 12 10 6 4 4 4 6 7 6 3 1 4 8 5 -1 -2 -0 2 3 4 5 5 5 6 6 6 6 6 6 7 7 6 6 7 7 7 8 8 7 7 8 8 8 8 7 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 10 17 22 21 13 7 6 6 6 nan
nan 6 8 10 10 9 10 11 12 12 11 10 9 8 7 7 7 7 8 10 12 13 12 10 7 4 2 3 6 7 6 6 8 9 9 9 8 6 4 4 5 7 8 7 6 5 7 4 -2 -5 -3 0 2 3 4 5 5 5 5 5 5 6 6 6 7 6 6 6 6 7 7 8 8 7 7 7 8 8 8 7 6 6 5 5 5 5 5 7 7 6 4 5 5 6 6 6 6 6 6 6 6 7 10 15 20 22 16 9 6 6 6 6 nan
nan 7 10 13 13 10 8 9 12 14 15 14 13 13 13 12 12 12 14 15 15 14 11 8 7 6 4 4 6 8 9 10 10 9 8 7 7 6 5 5 6 8 9 8 7 7 7 3 -2 -3 -1 0 -0 1 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 8 7 7 7 8 8 7 7 6 5 5 5 5 6 8 11 11 7 3 2 2 3 4 5 6 6 6 6 7 10 15 20 20 17 11 7 6 6 6 6 nan
nan 9 12 16 16 12 8 6 9 13 15 15 15 16 16 16 15 15 15 15 13 11 9 8 7 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 8 8 9 8 7 7 6 3 -0 1 2 -1 -3 -0 4 5 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 7 7 7 7 7 7 6 6 5 5 5 6 8 12 15 13 9 4 1 0 0 1 2 3 4 5 5 8 13 19 21 17 11 8 7 6 6 6 6 nan
nan 9 11 14 16 14 9 7 7 9 12 13 13 13 13 14 14 13 13 12 11 10 9 8 8 8 8 8 9 9 9 8 7 6 7 6 6 7 8 8 8 7 6 4 3 4 5 1 -0 3 4 0 -2 1 5 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 7 8 7 7 7 7 7 7 7 6 6 5 5 6 9 13 15 15 12 8 6 4 3 2 1 -1 -1 1 4 8 12 17 20 18 12 9 8 6 6 6 6 7 nan
nan 9 9 10 12 11 9 7 7 7 9 10 9 9 9 10 11 11 11 11 11 10 10 9 8 7 7 7 8 8 7 6 6 6 6 6 6 7 8 7 5 4 1 -1 -1 3 6 4 3 6 5 2 2 4 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 7 7 6 7 7 7 7 6 6 6 7 9 13 16 15 12 8 7 7 7 6 5 3 1 -1 2 8 12 15 17 16 12 9 8 7 6 5 6 7 8 nan
nan 8 8 7 8 8 8 7 6 7 7 7 7 7 7 8 9 9 9 10 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 5 6 7 7 6 3 -0 -1 -1 2 8 11 11 10 8 6 4 4 6 7 8 8 9 9 8 8 8 8 7 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 10 13 15 14 11 8 6 6 7 7 8 7 6 5 4 6 11 14 13 12 11 9 7 6 6 6 6 7 8 9 nan
nan 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 7 7 8 8 8 7 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 6 4 1 2 5 9 14 16 14 12 9 6 3 3 3 6 8 10 10 10 9 9 8 8 8 9 11 10 8 7 6 6 6 8 8 8 7 6 7 8 10 11 11 11 13 12 9 7 6 7 7 7 7 8 7 7 7 7 9 10 10 10 8 7 6 5 5 6 7 8 9 9 9 nan
nan 6 7 7 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 4 4 5 6 6 6 6 6 7 7 7 6 6 6 8 11 14 14 12 9 7 6 4 3 2 4 7 10 11 10 8 7 7 5 6 12 15 14 10 7 4 1 3 8 12 10 7 5 5 9 13 15 13 10 8 7 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 8 6 5 5 5 6 7 8 9 9 9 9 nan
nan 7 7 7 6 6 7 7 7 7 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 5 5 4 4 6 7 7 6 6 6 6 7 7 7 8 8 9 9 10 10 8 7 7 7 6 5 4 4 7 9 10 9 6 5 3 0 5 14 17 15 10 7 4 -1 1 9 13 10 6 4 4 8 13 14 11 7 6 5 5 5 6 6 6 7 7 7 7 7 7 7 8 9 9 7 5 4 5 7 8 9 9 9 9 9 8 nan
nan 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 6 6 5 5 4 5 7 7 6 6 6 6 6 6 7 7 7 8 9 8 8 7 7 7 8 8 7 7 6 6 7 8 8 7 6 5 2 -0 5 12 15 12 8 7 6 2 3 9 11 9 6 5 5 7 9 9 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 9 8 6 5 5 6 7 8 9 9 9 8 8 7 nan
nan 7 7 6 5 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 6 7 7 7 6 6 6 5 5 6 7 7 6 5 5 5 5 6 6 6 6 7 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 6 6 4 3 6 9 10 8 7 7 7 6 6 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 9 8 6 5 6 6 7 7 8 9 8 7 7 6 nan
nan 7 6 5 6 6 6 5 6 6 6 6 6 7 7 8 8 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 7 8 9 10 10 8 6 5 6 6 5 6 7 7 7 7 7 7 nan
nan 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 6 5 5 6 6 6 6 7 9 9 9 7 6 5 5 7 7 7 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 7 6 6 6 7 6 6 6 6 7 7 7 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 7 7 7 7 8 9 10 10 9 7 6 5 6 5 5 5 5 6 6 7 7 7 nan
nan 6 6 6 7 7 7 6 7 6 6 6 5 5 5 6 6 6 5 5 5 5 6 7 8 10 9 7 5 4 4 5 7 7 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 6 6 7 7 6 6 7 8 8 7 7 7 6 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 7 6 7 7 7 6 5 5 6 6 7 7 7 nan
nan 6 6 7 8 8 7 7 7 6 6 5 5 5 6 6 6 6 5 5 5 5 6 8 9 9 7 5 3 3 3 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 7 7 7 6 6 6 6 7 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 7 6 6 6 7 8 9 10 8 7 7 7 6 6 6 6 nan
nan 6 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 8 8 8 7 6 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 7 7 7 7 7 7 7 6 7 7 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 7 6 5 5 6 8 9 9 9 9 8 8 7 6 6 6 nan
nan 6 7 9 8 7 7 7 7 7 6 6 7 7 7 6 6 6 6 6 7 8 8 8 6 6 6 7 8 8 7 6 6 7 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 8 6 5 5 6 6 7 8 9 9 8 7 7 7 6 6 nan
nan 6 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 7 6 6 7 8 9 9 8 6 6 6 7 7 7 7 7 7 8 8 7 7 7 8 8 7 6 6 6 7 7 7 7 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 7 7 nan
nan 6 6 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 7 8 8 8 7 7 6 6 7 8 9 9 8 6 5 5 6 6 6 6 6 7 8 8 7 8 8 8 8 7 6 6 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 9 9 9 9 8 7 7 7 7 8 9 9 8 8 8 7 7 7 7 7 7 7 8 nan
nan 6 6 6 7 7 6 6 5 5 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 7 6 5 5 5 6 6 6 6 7 8 8 8 8 8 9 8 7 6 7 7 8 7 7 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 8 8 9 8 7 6 6 7 7 7 7 7 7 8 9 9 nan
nan 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 7 7 7 8 8 8 7 7 8 8 7 7 7 7 8 7 7 7 7 8 8 8 8 7 7 7 7 7 6 7 7 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 9 9 8 7 5 5 5 5 6 6 7 7 8 10 10 10 nan
nan 6 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 6 5 5 6 7 7 8 8 8 8 7 7 7 8 8 7 7 8 8 8 7 7 8 8 8 7 7 7 8 8 7 7 6 7 7 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 7 6 5 5 6 6 6 7 7 8 8 9 9 nan
nan 7 7 7 6 6 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 9 10 10 9 8 6 5 4 5 6 7 8 8 8 8 7 7 7 8 8 8 7 7 8 7 7 7 7 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 7 8 8 nan
nan 8 8 9 8 7 7 7 7 7 8 8 7 8 8 8 8 7 7 8 8 8 8 7 7 7 8 9 10 11 10 9 8 6 5 4 5 6 7 8 9 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 6 7 7 7 8 8 8 7 7 8 8 7 7 7 8 8 9 9 9 9 8 8 7 8 8 8 7 6 7 8 9 9 9 nan
nan 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 9 10 11 11 10 8 7 6 5 5 6 6 6 8 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 9 9 9 8 8 8 9 9 7 6 7 8 9 9 9 nan
nan 9 8 8 8 8 8 8 8 8 9 9 8 9 9 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 7 7 7 6 6 6 7 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 7 8 9 8 7 7 7 8 8 7 8 8 9 9 8 8 8 9 9 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 9 9 8 8 9 9 10 9 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 9 8 8 8 8 9 8 7 5 5 6 7 8 8 7 7 6 7 8 8 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 9 9 9 8 8 8 7 7 6 6 7 8 9 8 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 8 7 7 7 nan
nan 9 8 8 9 9 9 9 9 9 9 10 11 9 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 7 6 6 6 6 7 8 9 8 7 7 7 7 7 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 7 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 6 5 5 6 nan
nan 9 10 10 11 10 9 9 9 9 10 11 11 10 8 8 9 8 8 7 8 8 8 9 8 8 8 8 9 10 10 9 8 7 6 6 6 7 7 7 8 8 8 8 8 7 6 6 7 8 8 7 7 6 6 6 6 7 7 8 9 8 8 8 8 8 9 9 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 9 9 8 7 6 6 6 6 6 6 5 5 6 nan
nan 10 11 11 11 10 9 9 10 11 11 11 11 9 9 9 9 9 8 8 8 9 9 9 9 8 7 8 9 10 10 9 8 7 7 6 7 7 7 7 8 8 7 7 7 7 6 6 7 8 8 7 6 6 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 9 9 9 8 7 6 6 7 7 7 7 7 7 6 nan
nan 10 10 10 11 10 9 9 10 10 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 7 7 7 8 8 7 6 6 6 7 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 7 7 7 8 8 8 9 7 nan
nan 8 8 9 10 10 10 10 10 10 10 10 11 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 7 6 6 7 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 8 nan
nan 8 7 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 8 9 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 nan
nan 9 9 9 10 10 10 10 10 10 10 11 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 7 7 6 5 6 7 7 7 7 6 6 7 7 8 9 10 11 10 8 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 nan
nan 9 9 9 9 9 10 10 9 9 9 10 11 11 11 10 10 9 9 9 10 10 10 11 10 9 9 8 8 8 9 10 10 10 9 9 8 8 7 7 7 7 7 7 6 5 6 6 7 7 6 7 7 7 7 8 10 11 10 9 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 7 6 7 7 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 nan
nan 9 8 7 7 9 10 10 10 9 9 10 10 10 10 10 9 9 9 10 10 11 12 11 10 9 8 7 8 8 8 9 10 10 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 9 10 10 9 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 9 nan
nan 10 9 8 8 9 10 10 10 9 9 9 8 8 9 9 9 9 10 10 11 12 11 10 9 8 7 7 7 8 8 8 9 10 9 8 8 8 9 8 8 7 8 8 7 6 5 5 6 6 6 6 7 7 8 9 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 9 9 9 9 9 8 8 9 9 9 nan
nan 11 10 10 9 9 9 10 9 9 8 8 7 7 8 9 9 10 10 11 11 11 10 9 8 8 7 7 7 7 8 8 9 9 9 8 9 9 9 9 8 8 8 8 7 6 5 6 6 7 7 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 8 8 7 7 7 6 6 7 7 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 9 8 8 8 8 8 7 7 8 9 9 9 8 8 8 9 10 10 9 9 8 8 7 7 6 6 7 7 7 8 7 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 9 9 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 12 11 11 11 10 9 8 7 8 8 7 7 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 7 7 9 10 10 9 7 7 8 10 10 10 9 9 9 8 8 7 6 5 5 6 6 7 8 8 9 9 9 8 7 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 nan
nan 13 13 13 13 12 10 8 8 8 8 7 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 8 8 8 10 10 10 8 7 7 9 10 10 10 9 9 9 9 8 7 6 5 5 5 6 7 8 8 9 9 9 8 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 nan
nan 12 13 13 13 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 10 11 10 8 7 7 9 10 9 9 9 10 9 9 9 8 7 6 6 6 6 6 7 7 8 9 9 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 9 nan
nan 10 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 7 8 8 8 8 9 9 9 9 8 9 9 10 10 9 8 7 7 8 8 8 9 9 10 9 9 9 9 8 7 7 6 6 6 7 7 9 10 10 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 9 9 8 8 8 7 7 7 8 9 10 11 11 12 12 11 10 9 9 9 9 8 8 9 nan
nan 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 8 9 9 8 9 9 9 9 8 8 8 8 9 10 10 10 9 9 8 8 7 7 6 6 7 7 8 9 10 9 8 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 8 8 9 8 8 8 8 7 7 7 9 10 10 11 12 11 11 11 10 10 10 10 10 9 9 9 nan
nan 7 7 8 8 8 8 7 7 7 8 8 9 10 10 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 7 6 6 7 8 9 9 8 8 7 8 8 7 7 8 7 7 7 7 7 7 8 9 10 9 9 9 8 7 7 7 7 7 7 6 5 5 6 7 8 9 9 9 9 8 6 7 8 9 10 10 10 10 10 10 11 11 12 13 13 12 11 11 10 nan
nan 6 6 7 7 7 7 6 6 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 9 8 7 7 8 9 9 9 9 9 9 8 8 9 9 9 8 8 9 9 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 7 6 6 6 7 8 9 10 10 9 7 5 6 8 9 9 8 9 9 9 10 12 13 14 15 14 13 13 12 11 nan
nan 5 5 5 6 6 6 5 6 6 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 8 8 8 9 9 8 8 8 9 8 8 7 7 8 8 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 10 9 9 9 8 8 8 8 9 9 8 7 8 8 9 9 10 10 8 5 5 6 7 7 7 7 7 9 10 12 13 14 15 15 14 13 13 12 11 nan
nan 6 6 6 6 6 5 5 5 5 6 7 8 9 9 8 8 8 7 8 8 8 8 8 7 7 8 9 10 10 10 10 9 9 8 8 8 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 9 10 10 11 10 10 10 10 10 9 8 8 8 7 7 7 7 8 9 9 8 8 9 9 10 10 9 7 5 5 6 6 7 6 6 8 9 11 12 13 13 13 13 13 13 14 13 12 nan
nan 7 7 7 8 7 6 5 5 5 5 6 8 9 9 9 8 8 7 7 8 8 7 7 7 7 8 9 10 10 10 10 10 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 7 8 8 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 8 8 8 7 6 6 6 7 7 8 8 8 9 9 10 10 10 9 7 5 5 5 6 7 7 7 9 10 11 11 11 11 11 12 13 14 14 14 12 nan
nan 7 8 9 9 8 7 6 6 6 6 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 10 9 9 9 8 8 7 7 7 7 6 7 7 7 7 7 8 9 9 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 6 6 6 6 6 7 7 8 9 11 11 11 10 8 7 6 6 6 7 7 8 9 9 9 9 8 8 9 10 12 13 13 12 11 nan
nan 7 8 9 9 9 8 8 7 7 7 8 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 8 8 9 9 10 10 10 10 9 8 8 7 7 8 8 9 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 6 6 5 5 6 7 8 10 11 11 11 10 9 8 7 7 6 6 7 8 8 8 7 7 7 8 9 11 12 11 9 8 nan
nan 8 8 8 9 9 10 10 9 9 9 9 8 7 7 8 8 8 9 9 10 10 9 9 9 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 9 10 10 10 9 9 9 9 10 10 9 9 8 8 8 7 7 8 8 9 9 9 9 8 7 7 6 6 7 8 8 8 8 8 9 9 9 8 7 7 7 6 6 5 5 6 7 8 9 10 10 10 10 10 9 7 6 5 5 6 7 7 6 6 7 8 9 10 10 8 6 5 nan
nan 9 8 8 9 11 12 12 11 10 10 10 9 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 9 8 7 7 7 8 8 9 10 9 9 9 8 8 7 7 7 8 8 8 9 9 8 9 9 9 9 8 8 8 8 7 6 5 6 7 8 9 9 9 9 10 10 9 8 6 5 5 5 5 6 6 7 7 8 9 9 8 6 4 3 nan
nan 10 10 10 11 12 13 12 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 9 10 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 9 8 9 9 8 6 5 6 6 7 8 9 8 9 9 10 10 9 7 6 6 6 5 5 6 6 7 7 8 8 7 5 4 4 nan
nan 10 10 10 11 12 12 12 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 9 9 10 10 9 9 10 10 10 9 8 9 9 7 6 5 6 6 7 8 8 8 8 9 10 10 9 8 8 8 7 6 5 5 5 6 6 6 6 6 5 4 4 nan
nan 9 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 9 10 10 9 9 9 8 8 9 9 9 9 10 10 9 9 8 8 8 9 9 8 8 7 7 8 8 8 7 7 7 8 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 9 9 7 7 6 7 8 8 7 7 7 8 9 9 9 9 9 9 10 10 7 5 5 4 4 4 4 4 4 3 3 4 nan
nan 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 9 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 9 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 7 6 6 7 8 8 8 9 9 9 10 10 8 7 7 6 5 4 3 2 2 2 2 5 nan
nan 7 7 7 7 7 6 5 5 6 6 7 7 7 7 8 9 9 10 10 9 8 8 7 7 7 8 8 8 7 7 7 8 10 10 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 8 6 6 6 7 8 8 8 9 9 9 9 9 8 9 9 9 8 6 5 4 3 3 3 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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