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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 6 6 6 6 7 6 6 5 6 6 8 9 8 9 8 8 8 8 8 9 9 8 8 8 9 13 15 13 8 4 3 4 4 4 5 5 6 6 7 7 7 8 8 8 9 9 8 9 9 9 10 9 9 9 8 9 9 9 10 10 11 11 10 9 9 8 8 9 9 9 8 8 8 9 9 9 10 11 11 12 12 12 12 11 11 11 11 11 10 9 8 7 8 11 16 17 15 10 6 5 5 6 6 7 7 6 5 5 5 5 4 3 2 2 3 4 5 6 nan
nan 8 7 7 7 8 7 6 6 7 7 7 7 7 7 7 7 6 7 7 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 6 6 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 12 14 14 8 3 3 4 4 4 5 6 7 7 8 8 8 8 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 11 11 10 9 9 9 8 8 8 7 7 6 8 12 16 19 14 7 5 5 5 6 6 6 6 5 5 6 6 6 5 3 3 3 3 3 4 nan
nan 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 7 6 7 7 7 7 7 7 8 8 9 8 7 7 7 7 8 8 8 8 9 14 17 13 5 3 4 4 4 5 6 7 8 8 8 8 8 8 7 7 8 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 7 6 6 6 6 6 6 6 5 5 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 8 14 19 18 12 7 6 6 7 7 7 6 6 5 7 8 7 6 6 4 3 4 4 4 nan
nan 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 6 6 6 7 7 6 7 8 7 8 8 8 8 8 7 7 7 7 7 7 8 9 11 13 13 10 6 4 4 4 5 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 6 7 7 7 7 7 7 6 8 12 17 19 16 11 8 7 8 9 8 7 7 6 7 7 8 8 7 6 4 5 6 6 nan
nan 8 7 6 6 6 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 8 7 6 7 7 7 7 8 8 8 8 8 8 7 6 7 7 8 9 9 9 14 16 10 5 4 4 4 5 6 6 6 7 7 7 6 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 5 5 5 4 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 8 11 15 19 18 14 9 9 9 10 9 7 6 6 7 8 7 8 7 7 7 6 6 7 nan
nan 7 7 6 6 6 6 6 6 7 7 7 6 7 7 7 7 7 6 6 6 6 5 5 6 6 7 7 6 6 6 6 7 7 7 6 7 7 6 6 6 6 6 6 7 6 6 6 7 7 7 7 7 7 8 8 7 7 6 6 6 7 7 8 9 9 8 7 7 7 7 8 8 9 9 8 13 15 12 9 6 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 7 7 7 8 8 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 7 9 13 18 19 15 9 8 9 9 7 6 5 6 6 7 7 7 7 7 7 7 7 7 nan
nan 7 7 6 6 7 6 6 7 6 6 7 7 7 7 6 7 6 6 6 6 5 6 6 6 7 8 8 8 8 7 7 7 7 7 7 8 8 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 9 8 7 8 8 8 8 8 9 8 9 9 10 12 12 7 3 4 5 4 4 4 4 5 5 5 6 5 6 6 6 5 5 5 5 5 5 6 6 7 7 7 8 7 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 6 6 5 5 5 6 8 11 16 17 14 9 7 7 7 6 5 5 5 6 6 7 7 7 7 6 6 6 6 nan
nan 7 7 7 6 6 6 6 7 7 6 7 7 7 6 6 6 6 6 5 6 6 6 7 8 9 9 9 9 8 7 7 7 8 8 9 9 9 8 7 7 7 8 9 9 8 8 8 8 8 8 7 6 6 7 7 7 7 8 7 6 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 10 8 5 4 8 7 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 8 12 15 14 9 6 5 5 4 3 4 4 5 6 6 6 6 6 6 5 5 5 nan
nan 6 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 7 8 8 8 9 9 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 7 6 6 7 8 9 9 9 10 9 8 8 9 8 7 7 8 9 8 7 6 5 7 11 11 7 4 3 3 3 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 9 12 12 10 8 5 4 3 2 3 4 4 5 4 4 5 5 5 5 5 5 nan
nan 6 7 7 6 6 6 6 6 6 6 7 6 6 7 7 6 6 6 6 7 8 9 9 8 8 8 7 7 7 7 8 9 9 9 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 7 7 7 7 7 6 6 7 8 8 8 9 9 9 8 8 8 7 7 7 8 8 8 8 8 7 9 10 11 11 9 6 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 8 10 10 10 9 6 3 2 2 3 3 4 3 3 3 4 4 4 4 4 nan
nan 6 6 6 6 6 6 6 6 6 6 6 7 6 7 7 6 6 6 7 8 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 8 8 7 8 8 7 6 7 7 7 7 8 10 10 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 9 11 12 10 8 6 5 4 3 3 3 3 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 6 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 7 7 8 10 12 9 6 3 2 2 2 3 3 3 2 2 3 3 3 3 nan
nan 5 5 6 6 5 6 7 6 6 6 7 7 7 7 7 6 6 7 9 9 8 8 8 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 8 7 8 9 9 9 8 7 7 8 8 8 8 7 7 11 16 12 7 5 3 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 9 7 6 4 3 3 3 3 3 2 2 2 2 2 nan
nan 5 5 5 5 6 6 6 6 7 6 7 7 7 7 7 6 7 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 7 7 7 8 9 9 10 11 10 9 8 7 8 9 9 8 7 7 7 7 7 7 8 7 6 9 14 16 14 10 4 1 2 3 3 4 4 5 5 6 6 5 6 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 7 8 8 9 10 8 6 4 4 4 3 3 2 2 2 2 nan
nan 5 5 5 5 5 6 6 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 9 9 9 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 8 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 7 7 9 9 9 9 9 9 7 7 7 8 8 8 7 6 7 7 7 7 7 8 8 7 8 10 16 20 17 6 0 2 2 3 3 4 4 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 4 4 5 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 8 10 10 9 8 6 5 3 2 2 2 2 2 nan
nan 4 5 4 4 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 7 8 8 9 8 8 7 6 7 7 7 7 8 7 8 8 8 8 7 8 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 10 9 8 7 7 8 8 8 8 7 7 7 8 8 8 8 8 7 8 9 9 13 19 17 7 1 1 2 2 2 3 4 4 5 6 6 6 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 6 6 6 7 7 7 7 7 6 6 6 7 8 9 10 9 5 2 2 2 2 2 2 nan
nan 5 4 4 5 6 7 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 7 8 8 8 8 7 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 9 8 7 8 8 8 8 7 8 8 9 12 14 10 4 2 1 1 2 2 4 4 5 5 5 5 5 4 4 4 4 5 6 7 7 7 7 7 7 6 5 5 5 6 6 7 6 6 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 6 7 7 7 7 7 7 7 6 5 5 6 7 9 10 6 3 2 1 1 2 2 nan
nan 4 4 5 5 6 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 9 8 8 9 9 9 9 9 9 10 9 9 9 9 9 8 7 7 8 9 9 9 8 7 8 8 8 8 8 8 8 8 8 10 14 11 5 2 2 3 3 4 4 4 4 5 4 4 4 2 3 3 4 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 8 7 7 7 6 7 7 7 7 8 8 7 7 6 5 5 6 7 8 7 6 4 1 0 -0 0 nan
nan 5 5 5 5 6 7 8 8 7 8 8 8 7 7 7 8 8 9 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 7 7 8 8 8 7 7 8 8 7 7 7 8 9 10 9 9 8 8 8 9 9 10 10 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 7 7 10 11 10 8 6 7 9 8 7 6 5 4 4 3 2 2 2 3 4 5 5 6 6 7 7 7 8 8 8 8 8 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 7 5 3 1 0 1 nan
nan 5 5 5 4 5 6 7 7 8 8 8 8 7 6 7 7 8 8 8 7 7 7 7 7 8 7 7 7 6 6 6 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 9 8 7 7 7 8 9 10 10 8 8 8 9 10 10 10 10 10 9 8 8 8 8 9 9 8 8 8 7 7 7 7 6 7 8 8 9 9 10 11 10 9 8 7 6 6 7 11 11 11 16 18 18 15 10 5 3 2 1 1 2 3 3 4 5 5 6 6 7 7 8 9 10 10 10 10 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 7 7 8 9 9 8 8 7 7 6 6 6 6 7 8 7 6 4 3 2 nan
nan 7 6 4 4 5 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 8 7 7 8 9 9 10 10 10 9 9 10 10 10 11 11 9 8 8 7 7 8 8 8 9 8 8 7 6 6 7 7 7 7 8 9 9 10 10 11 10 9 9 8 7 6 6 7 9 10 13 21 27 26 20 12 6 3 2 2 2 3 3 3 4 4 4 5 6 6 7 8 10 10 10 9 8 7 7 6 8 8 9 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 7 6 6 6 6 6 7 8 8 7 6 5 nan
nan 7 6 5 5 5 6 7 7 8 8 8 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 8 8 8 9 10 11 11 10 10 10 10 10 11 11 11 11 9 7 7 7 7 8 8 9 8 8 8 7 7 7 7 7 7 8 8 8 9 10 11 11 9 8 8 8 7 6 7 8 7 7 8 12 21 26 25 20 12 7 4 3 3 3 3 3 3 4 4 4 4 5 6 7 9 10 10 8 7 6 6 6 7 8 9 10 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 6 6 7 8 8 8 7 nan
nan 6 7 6 5 5 6 7 8 8 9 8 7 6 7 6 6 6 7 7 7 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 9 9 8 7 9 10 11 12 10 10 10 10 10 11 11 11 11 11 11 9 8 7 8 8 7 8 9 9 8 7 7 7 8 7 7 7 7 7 8 10 12 11 9 8 8 8 7 7 6 6 7 7 7 7 8 10 15 18 18 16 11 8 6 5 5 5 4 4 3 4 5 5 5 5 6 8 8 9 8 6 4 5 5 6 8 9 9 10 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 7 7 7 7 7 7 7 8 8 nan
nan 7 6 6 6 6 6 7 8 8 9 9 7 7 7 6 6 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 9 8 9 10 12 12 11 10 9 9 10 11 12 12 12 11 11 10 10 9 9 8 7 7 8 8 8 7 7 6 6 7 7 7 7 7 7 8 10 11 10 8 8 8 7 6 6 7 6 7 7 7 8 8 8 9 10 11 12 14 13 11 11 11 10 9 8 7 6 8 9 8 8 8 8 8 8 7 5 4 4 5 6 7 8 8 9 9 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 9 8 8 9 9 10 10 10 9 8 8 8 8 7 7 7 7 nan
nan 8 7 6 6 7 6 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 9 9 9 8 8 9 10 10 10 11 11 10 9 9 10 11 12 13 13 11 11 11 11 11 11 10 9 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 10 10 8 8 8 7 6 5 6 7 8 8 8 7 7 6 8 9 7 7 8 10 12 14 14 14 14 14 15 15 13 13 13 13 11 10 9 8 7 6 5 4 5 5 6 6 5 6 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 11 11 10 9 8 8 7 7 7 7 7 nan
nan 9 8 6 6 7 7 7 7 7 7 7 8 7 6 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 8 9 10 10 9 9 9 10 10 9 9 9 8 8 10 11 11 11 9 8 8 9 10 11 12 13 13 12 11 11 11 12 13 13 12 10 9 8 7 6 6 6 5 5 6 6 7 7 7 7 8 9 9 9 8 8 8 7 6 6 6 7 8 8 7 6 6 6 7 6 6 6 7 8 10 11 11 13 14 15 14 15 15 13 12 11 9 8 6 5 4 4 4 5 6 6 5 4 4 5 6 7 7 8 9 9 9 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 10 9 8 7 7 7 7 7 7 nan
nan 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 7 7 8 8 8 9 10 10 9 10 10 10 10 9 8 8 8 8 10 11 10 9 8 6 7 8 9 10 11 12 12 10 11 12 14 15 16 15 12 9 8 7 7 6 6 6 6 6 7 8 8 7 7 7 9 10 9 9 9 8 8 7 7 7 7 7 7 6 6 5 4 6 6 5 6 7 8 8 9 9 9 10 11 9 5 4 6 8 7 6 5 4 4 4 4 5 6 7 8 7 3 1 2 4 5 5 6 7 7 8 8 9 9 9 10 9 9 9 10 10 9 10 10 10 9 10 10 10 11 10 10 9 7 7 7 7 6 6 nan
nan 8 7 6 6 7 7 7 7 6 7 8 8 7 7 7 8 9 10 10 10 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 8 7 7 7 8 9 10 10 10 10 10 10 11 13 16 18 17 14 9 6 6 5 6 6 6 7 8 9 9 8 8 7 7 7 8 10 10 9 8 8 8 7 7 7 7 6 5 4 4 4 5 6 6 6 7 9 9 8 8 7 7 7 6 2 -2 -1 2 5 7 7 7 8 9 10 9 8 9 11 11 7 3 1 2 3 3 3 4 5 6 7 8 8 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 8 7 6 6 6 6 nan
nan 8 7 6 6 7 8 7 7 7 8 8 8 8 8 7 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 8 7 7 7 8 9 7 6 7 9 9 11 11 11 8 7 8 9 11 13 14 14 12 7 4 3 4 4 5 7 9 9 10 11 10 9 9 8 8 8 8 9 10 9 8 8 8 7 7 7 6 5 4 3 4 5 6 6 7 7 8 8 7 7 6 7 7 6 3 -1 -1 3 5 7 9 11 15 18 20 19 17 16 15 16 15 8 3 2 1 2 2 2 2 3 5 6 7 7 8 8 7 7 8 8 9 8 9 9 9 9 10 10 10 11 11 10 10 9 8 7 6 6 5 5 nan
nan 9 7 6 6 7 8 8 7 8 9 8 9 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 6 6 7 8 8 8 7 8 9 11 10 10 9 6 7 9 9 10 10 9 7 4 2 0 2 5 6 8 9 10 10 10 10 10 9 9 8 9 9 9 9 9 9 8 8 8 7 6 5 5 4 4 5 6 7 8 8 8 7 7 7 6 6 7 8 8 7 2 -2 2 7 8 9 10 13 19 24 27 27 27 27 26 25 19 11 5 2 2 1 1 1 1 3 4 4 5 6 6 6 6 6 7 7 7 7 7 8 9 9 10 10 11 11 11 11 11 10 9 8 7 6 5 5 nan
nan 8 6 5 5 6 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 8 9 8 8 7 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 7 8 9 9 8 8 8 7 8 10 10 9 8 3 -0 2 4 4 5 8 9 11 11 10 10 9 9 9 9 8 9 9 10 10 10 9 8 8 8 8 8 7 7 5 5 5 7 8 9 9 8 8 7 7 6 6 7 8 8 7 6 4 6 11 12 11 10 10 12 16 23 29 34 36 37 36 31 21 12 7 4 2 1 0 1 1 2 2 3 3 3 4 5 6 6 6 6 6 7 7 8 8 9 9 10 11 11 11 11 11 11 10 9 8 7 5 5 nan
nan 8 5 5 6 6 7 8 8 8 8 9 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 6 7 8 7 7 7 7 8 7 7 8 9 10 9 9 9 7 4 1 1 6 9 8 8 9 11 12 11 9 8 8 9 9 8 9 9 9 10 11 10 9 7 7 8 8 8 9 9 8 7 6 8 9 8 8 7 7 7 7 7 7 8 7 7 7 6 7 13 16 15 13 12 12 12 15 21 31 38 36 35 36 29 20 12 8 5 3 2 2 1 1 1 1 1 1 2 3 4 5 5 6 6 5 6 7 8 8 9 10 10 10 11 11 11 11 11 11 11 10 8 7 6 nan
nan 8 6 6 5 6 7 7 7 7 8 8 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 6 7 7 7 7 7 6 6 7 8 8 8 7 7 8 8 8 7 7 8 9 9 8 6 4 4 3 4 9 11 10 9 10 10 9 7 7 7 8 9 10 9 10 10 10 11 11 9 8 7 7 7 7 8 9 10 9 8 8 8 7 7 7 7 7 7 8 8 9 8 7 8 7 6 8 10 11 12 12 13 13 13 15 23 31 30 25 24 25 22 17 12 8 6 4 3 2 1 2 1 1 0 0 1 2 3 4 5 5 5 5 5 6 7 8 9 10 10 11 11 11 12 11 11 11 11 10 10 9 8 nan
nan 7 8 7 6 5 6 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 8 7 7 7 7 7 6 6 7 6 7 7 6 7 8 8 8 8 7 8 8 8 8 8 7 7 6 6 5 5 6 6 4 5 10 11 10 8 7 7 7 6 7 8 9 10 10 10 11 10 11 11 9 8 8 7 7 6 6 7 8 8 7 7 8 8 7 6 7 6 7 8 8 9 9 8 8 8 8 8 9 9 8 8 10 10 9 10 14 21 25 18 13 13 14 15 14 10 7 5 3 1 1 1 1 2 2 2 1 1 2 3 4 5 4 4 5 5 5 6 8 9 9 10 11 11 12 11 11 11 11 11 11 10 10 9 nan
nan 7 8 7 7 5 5 7 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 6 5 4 3 5 6 4 7 10 9 7 5 5 7 8 9 9 10 11 11 10 10 10 11 10 10 9 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 8 9 9 9 9 8 6 5 5 6 7 5 5 8 13 15 9 6 6 7 8 7 5 3 1 0 -1 -1 0 2 4 4 4 3 3 3 3 4 3 4 3 4 4 4 5 6 8 9 10 10 11 11 11 12 12 12 11 11 11 10 9 nan
nan 7 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 7 6 6 7 7 7 7 8 8 8 8 7 6 5 7 8 7 8 9 9 10 10 9 7 6 7 6 5 4 3 4 6 9 9 8 5 5 7 9 10 10 11 11 11 11 10 9 9 10 9 9 9 8 7 7 7 7 6 6 6 5 5 7 8 7 8 8 8 9 9 10 10 9 9 9 10 10 8 7 4 3 2 0 1 2 3 4 5 10 11 8 6 5 5 6 4 2 0 -0 -1 -2 -2 1 4 6 7 6 5 5 4 4 3 3 3 3 3 3 3 4 5 7 8 9 10 10 10 11 12 12 12 12 12 12 11 10 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 7 7 6 6 6 7 7 7 7 7 8 7 7 8 7 6 7 9 8 8 9 10 10 8 8 8 8 7 7 7 6 6 5 6 6 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 9 9 10 10 9 9 8 8 8 7 7 7 6 6 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 8 6 4 5 8 6 4 5 7 10 13 15 15 13 13 12 10 7 7 7 4 1 -1 -1 -1 1 3 6 8 8 9 8 7 5 5 4 4 3 3 3 3 3 4 5 6 7 8 9 9 10 10 11 11 11 12 13 13 12 12 nan
nan 9 8 8 7 7 7 6 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 7 6 6 6 7 6 6 6 6 6 6 7 7 8 8 7 6 7 7 7 9 8 8 8 9 9 9 7 7 7 8 9 9 9 8 8 8 8 7 5 5 6 7 7 7 7 7 7 8 8 7 8 8 8 9 10 10 9 9 9 9 9 8 8 9 9 8 7 8 7 7 8 8 9 9 10 10 10 9 9 10 9 8 7 7 7 9 9 10 13 14 17 17 19 21 20 19 19 19 17 12 9 9 7 3 0 -0 1 3 6 9 9 10 10 9 7 6 6 5 5 4 4 4 3 3 3 4 5 6 7 8 9 9 9 9 10 10 11 12 12 13 13 nan
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nan 7 7 8 9 8 7 6 5 5 6 6 5 5 4 5 5 5 6 7 7 7 7 6 6 6 5 6 6 6 6 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 9 9 8 9 9 10 10 10 10 10 10 10 10 9 9 9 8 7 6 7 7 8 8 8 8 7 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 9 9 8 9 8 7 8 9 9 8 7 7 9 9 8 10 11 11 10 11 13 16 21 23 22 19 18 19 18 17 14 12 10 5 1 -0 2 4 5 7 9 9 8 8 8 7 7 6 6 6 5 5 5 5 4 3 4 5 6 7 8 9 9 9 10 10 10 10 10 10 10 nan
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nan 9 8 8 7 7 7 6 6 6 7 6 5 5 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 7 8 8 8 9 9 9 9 9 10 11 11 11 12 11 11 9 8 7 7 8 8 8 7 7 7 8 8 10 10 10 10 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 7 8 8 8 8 8 9 9 8 7 3 2 4 7 9 11 12 12 9 5 0 -2 0 4 6 9 11 11 11 11 11 11 11 10 9 9 8 8 7 7 5 5 4 4 4 5 7 7 8 10 10 10 9 9 10 10 11 10 nan
nan 9 9 8 8 7 7 7 7 6 6 7 6 6 6 7 7 7 7 8 7 6 6 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 8 7 7 8 8 8 8 9 9 10 11 11 11 10 10 9 10 11 11 11 10 8 6 6 6 7 8 8 9 9 9 8 8 8 8 7 8 9 9 9 10 10 9 9 9 9 9 9 10 9 8 8 9 9 10 10 10 9 8 9 8 7 6 7 8 6 2 -2 -2 2 4 6 7 7 7 7 6 3 -1 -0 4 7 8 9 10 11 11 12 12 13 13 12 12 11 11 10 9 8 7 6 5 5 4 5 7 8 9 10 10 10 10 10 10 10 11 11 nan
nan 9 9 9 8 7 8 7 7 6 6 7 7 7 7 6 6 7 9 9 7 6 7 7 7 8 8 9 9 8 9 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 9 8 7 8 8 9 9 8 8 8 9 9 9 8 8 8 8 9 10 10 10 10 9 7 6 7 8 8 9 9 8 7 8 8 7 7 7 8 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 8 9 9 9 9 8 6 5 5 5 5 3 -0 -2 3 7 7 7 6 6 6 5 4 4 4 4 5 7 8 8 9 9 10 11 11 12 13 13 13 13 12 11 11 9 8 6 5 5 5 6 6 8 9 10 10 10 10 10 10 10 11 10 nan
nan 8 9 10 8 8 8 7 7 7 7 8 7 7 6 6 6 7 8 8 7 7 8 8 8 8 8 8 8 9 9 9 8 8 9 9 8 8 8 8 7 6 7 7 8 7 8 8 8 7 7 8 9 9 9 9 8 7 8 7 7 7 7 7 8 9 8 8 7 7 8 9 8 8 9 9 9 8 7 8 10 11 8 7 8 9 9 9 9 8 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 8 6 6 6 4 2 2 3 2 2 6 8 8 8 7 6 6 5 5 5 4 4 4 4 6 7 8 8 9 9 9 10 10 11 11 11 11 10 9 9 8 6 5 5 5 6 7 9 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 9 9 9 8 7 6 7 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 8 8 7 8 9 9 9 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 7 7 8 8 8 9 8 8 8 8 8 9 8 8 8 9 10 10 10 11 12 11 9 8 9 9 8 9 8 9 9 9 9 10 10 10 9 9 9 9 9 8 7 8 7 8 9 9 8 10 9 4 0 2 5 3 5 7 8 9 8 7 6 5 4 4 3 3 2 2 4 5 6 7 7 8 8 8 7 7 8 8 8 7 7 7 7 6 6 6 6 7 7 9 10 10 10 10 10 10 10 10 10 10 10 nan
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nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 15 16 11 5 3 4 4 4 5 5 6 7 10 12 14 13 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 9 8 7 6 7 8 8 7 6 5 5 9 12 12 11 12 12 13 14 14 14 13 12 13 14 14 13 13 14 15 15 14 11 9 7 7 7 7 8 8 8 7 8 6 5 6 5 2 -1 0 0 -0 1 4 6 10 11 10 10 10 10 11 11 13 13 11 11 12 14 14 13 13 14 15 15 15 14 14 14 12 9 8 9 9 8 7 8 10 10 10 9 8 9 8 9 9 9 9 7 10 14 16 14 12 9 8 9 10 14 18 nan
nan 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 14 13 9 5 4 4 4 4 5 5 6 7 12 15 15 14 13 13 13 12 11 9 9 9 8 9 9 9 10 11 11 11 11 10 10 9 8 6 6 7 8 5 4 0 -0 2 6 9 10 11 11 12 14 14 14 13 12 13 14 14 13 13 13 13 14 14 14 12 11 10 7 7 7 6 4 4 3 -0 -1 -1 -1 -3 -5 -3 -1 -1 -2 -4 -4 1 8 11 11 11 11 12 14 16 15 12 11 12 14 14 12 11 11 12 11 11 11 12 14 15 13 11 9 9 9 8 7 7 9 10 9 7 7 9 10 11 10 10 9 8 9 10 11 12 9 7 7 10 12 15 17 nan
nan 9 8 8 8 8 9 9 10 10 10 10 9 9 9 8 9 10 10 10 10 10 8 5 4 4 4 4 5 5 5 7 11 13 13 12 13 14 13 12 10 9 9 9 9 9 9 11 11 11 11 11 10 10 10 9 8 7 7 9 9 7 2 -0 1 4 5 4 7 10 12 12 14 14 14 13 14 15 15 13 12 12 12 11 12 14 16 15 15 14 12 10 7 4 4 3 2 -0 2 3 2 1 3 6 6 6 6 5 2 0 1 2 3 6 10 13 14 14 11 11 12 14 14 13 11 10 9 10 9 9 9 11 13 16 16 13 10 9 9 9 7 7 8 9 8 7 8 9 11 12 11 10 10 9 9 9 10 9 7 7 9 11 13 16 18 nan
nan 8 8 8 8 8 9 10 11 11 10 10 9 9 9 9 9 10 10 12 12 12 10 6 4 4 4 4 4 4 7 8 10 11 12 11 12 13 13 11 9 9 9 9 9 9 11 12 12 11 10 10 11 13 15 13 10 10 11 12 10 10 6 5 5 6 5 3 5 8 11 13 14 14 14 14 15 14 13 12 11 11 11 10 11 14 15 15 16 15 12 10 8 9 10 10 11 13 13 13 13 13 14 14 14 14 15 16 15 8 2 -1 0 6 12 13 13 12 11 11 14 14 12 11 11 10 10 9 10 10 10 10 12 14 15 13 11 10 12 11 9 7 8 10 10 10 10 11 12 11 12 11 11 11 10 10 10 8 6 8 10 12 16 18 19 nan
nan 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 10 12 15 16 13 7 3 4 4 4 4 4 7 11 12 11 10 12 13 13 11 9 8 9 9 9 8 9 11 11 11 10 9 11 17 21 23 20 18 17 16 15 13 12 10 9 7 6 5 3 4 6 9 12 14 14 14 13 14 14 13 12 12 12 11 11 11 12 12 13 13 11 9 10 14 16 18 18 19 20 21 21 20 19 19 18 18 19 21 22 22 20 16 12 11 13 14 12 11 10 10 13 15 15 12 10 9 10 11 10 10 10 9 11 12 10 10 10 12 13 14 11 10 10 11 12 12 12 12 12 13 13 13 12 12 12 11 11 9 8 8 10 12 17 20 20 18 nan
nan 8 8 8 8 9 10 9 9 9 10 10 10 9 9 9 10 10 10 14 18 19 16 9 3 3 4 5 4 4 6 10 11 10 11 12 12 11 9 8 9 9 9 9 9 9 10 10 11 10 9 14 23 28 26 22 21 20 18 16 14 12 12 11 7 4 4 4 4 5 8 12 13 13 12 13 16 16 14 13 13 12 11 10 9 9 10 10 9 8 9 14 19 21 21 22 23 24 25 25 22 21 21 22 24 27 29 27 26 25 25 23 19 15 13 11 10 9 11 15 16 15 13 11 10 11 10 10 10 11 13 14 13 11 9 9 13 15 14 11 10 11 11 11 13 14 14 14 15 15 14 13 13 12 11 10 9 9 10 11 14 17 17 16 14 nan
nan 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 10 11 16 19 19 17 12 5 3 4 4 4 4 5 8 11 11 12 12 11 10 9 8 9 10 9 10 10 9 9 10 11 11 9 15 22 26 20 14 15 15 12 11 12 13 14 8 2 2 3 5 5 5 8 11 12 12 11 14 17 17 15 13 12 11 9 7 7 8 9 10 9 8 10 14 16 17 19 20 21 23 23 21 20 20 21 22 23 25 26 25 23 21 21 21 18 16 14 11 10 11 13 16 15 13 12 12 12 12 11 11 13 15 16 15 13 11 10 12 14 15 13 12 11 11 10 9 10 12 13 13 15 16 13 13 12 11 11 10 10 10 10 10 10 10 10 9 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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