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 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 5 5 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 5 5 6 6 6 6 7 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 4 6 7 8 9 10 8 4 4 6 8 10 7 4 6 9 8 8 8 8 7 7 7 7 7 8 7 7 8 9 8 8 8 6 5 5 6 7 8 8 7 7 8 8 8 10 9 8 8 9 10 10 8 7 6 5 7 10 12 12 10 8 6 6 8 9 10 11 11 11 10 10 10 9 9 9 11 10 10 10 10 8 6 6 5 4 4 5 5 5 5 5 7 9 10 nan
nan 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 6 6 5 5 5 6 7 8 9 9 9 10 10 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 8 9 9 6 4 5 6 7 8 6 5 7 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 9 10 10 8 8 9 10 10 8 6 5 6 6 9 12 11 8 5 4 6 8 9 9 10 10 11 10 10 10 9 10 11 12 10 10 10 9 7 6 6 5 3 5 6 6 6 5 5 7 9 10 nan
nan 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 6 7 8 9 9 9 9 9 8 9 9 7 6 7 9 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 7 5 5 5 7 8 7 6 6 7 9 9 9 8 7 6 6 8 8 7 8 8 8 8 8 9 8 7 7 7 8 8 9 9 9 8 8 8 8 9 10 9 8 8 9 9 9 8 6 6 6 7 9 11 8 4 4 6 8 8 9 9 9 9 10 9 9 9 10 11 12 10 9 9 8 7 7 7 7 6 6 7 8 6 5 5 5 7 8 9 nan
nan 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 6 7 8 8 8 8 8 9 9 9 8 7 6 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 7 7 7 6 6 6 8 8 7 6 7 8 9 10 9 8 7 6 7 8 8 9 8 9 7 7 8 8 8 8 8 8 9 9 8 9 9 8 8 8 8 9 9 8 8 8 9 9 10 9 7 7 7 6 8 9 7 5 6 8 10 11 11 10 8 7 7 8 8 9 10 10 9 8 7 7 7 7 7 8 8 7 8 9 9 7 5 6 6 7 7 8 nan
nan 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 5 4 4 5 6 5 5 6 6 6 5 5 6 7 7 8 8 8 9 9 8 8 8 7 7 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 8 8 8 8 7 5 6 7 8 7 6 7 8 10 10 8 6 6 6 8 8 8 9 9 8 7 7 8 8 9 8 9 9 9 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 8 6 6 6 7 8 8 7 7 11 12 12 11 8 6 6 8 9 9 8 8 6 5 5 5 6 7 8 9 9 8 8 9 9 8 8 7 7 7 7 8 8 nan
nan 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 6 6 6 6 5 6 7 7 7 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 8 9 10 9 8 8 8 5 5 6 7 8 7 7 8 9 10 9 7 6 6 7 8 8 9 9 9 7 7 8 8 9 9 9 9 9 8 7 7 9 8 8 8 8 7 7 8 9 8 9 8 8 8 7 7 6 5 6 7 8 8 7 7 10 10 9 8 7 7 8 10 10 9 8 4 1 3 6 6 6 8 9 10 9 9 8 8 8 9 8 7 8 8 9 9 10 nan
nan 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 7 8 9 10 10 9 9 9 9 8 9 10 10 10 10 10 10 9 10 10 10 9 8 8 8 9 10 10 10 9 8 6 5 6 7 8 8 8 7 8 9 9 8 7 7 7 8 9 9 9 8 8 7 8 8 8 8 8 9 9 8 8 8 9 9 8 8 8 7 7 7 8 9 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 8 7 7 7 9 10 10 10 9 6 2 -1 0 7 11 9 8 9 10 11 11 8 7 8 9 9 8 8 9 9 11 12 11 nan
nan 6 5 5 5 4 4 4 4 5 4 5 5 5 5 4 5 4 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 7 8 10 10 10 9 8 9 9 9 10 11 11 11 11 11 11 10 9 9 8 8 7 7 8 9 10 10 8 8 7 5 5 7 8 8 8 7 8 9 8 7 7 9 8 7 8 8 8 8 7 7 7 7 8 7 8 9 10 10 9 8 9 9 7 7 7 7 7 8 9 9 9 7 6 7 7 6 7 7 6 8 8 7 8 8 8 8 8 7 6 6 7 8 9 9 6 4 3 1 4 11 13 10 8 9 9 9 8 6 6 8 9 9 9 10 10 11 13 12 9 nan
nan 6 6 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 7 8 9 10 10 9 8 8 8 8 9 9 10 10 9 10 10 9 8 8 7 7 7 7 7 8 9 9 8 8 7 7 6 6 7 8 8 8 7 10 9 7 7 8 10 9 7 7 7 7 7 7 8 8 8 8 8 9 10 10 9 9 8 8 8 7 7 8 8 8 9 9 9 9 7 6 7 7 6 8 7 7 8 8 8 9 9 9 8 7 7 6 5 5 4 4 4 5 6 7 5 6 12 13 10 7 7 7 6 4 5 7 9 9 9 9 9 11 11 11 9 7 nan
nan 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 4 4 5 5 4 4 4 4 4 5 6 6 6 6 6 7 7 7 8 8 10 9 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 7 7 6 6 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 8 7 8 9 9 9 8 6 6 7 8 8 8 9 8 8 9 9 9 9 8 8 8 7 7 8 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 8 9 9 10 9 9 8 8 6 4 3 3 3 3 5 6 5 9 13 11 7 5 6 8 8 8 8 9 10 9 8 7 8 9 9 8 8 8 nan
nan 6 6 7 7 6 6 5 5 5 6 5 4 3 4 4 4 5 5 4 4 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 8 9 8 8 8 7 6 6 7 7 7 7 6 6 7 8 7 7 6 5 5 6 8 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 7 8 7 6 7 9 9 9 8 8 9 8 8 8 8 8 8 8 8 7 6 7 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 7 5 6 8 8 9 10 11 10 10 10 7 5 5 5 4 2 1 3 6 11 11 8 5 5 7 9 10 11 11 11 10 10 9 7 7 7 8 8 9 9 nan
nan 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 8 8 8 7 8 7 6 6 6 6 7 7 7 6 7 8 7 6 5 4 6 8 9 10 9 8 8 6 5 6 8 9 8 8 7 7 8 9 8 7 8 8 7 6 7 7 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 10 9 8 8 8 8 8 7 7 8 10 9 8 9 9 7 7 9 8 8 10 11 11 10 10 9 8 8 7 6 4 2 3 4 5 7 7 7 8 9 9 9 10 10 9 9 9 9 8 7 7 7 9 9 10 10 nan
nan 7 7 7 6 6 6 6 5 5 5 5 4 5 5 5 4 5 6 6 5 4 4 4 5 5 4 3 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 6 7 8 8 7 7 7 6 6 7 7 8 8 8 8 8 7 7 5 4 5 8 10 10 9 8 7 6 5 5 7 9 9 8 7 7 7 8 10 9 7 6 7 7 7 8 9 8 9 10 9 8 9 9 9 9 10 10 10 10 10 9 8 8 9 10 10 7 7 8 7 7 7 7 8 10 10 8 8 9 8 8 10 9 7 8 9 10 9 9 9 9 9 9 9 9 7 7 7 6 4 3 2 4 7 7 6 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 nan
nan 7 7 7 7 6 6 6 6 6 5 5 5 6 6 5 5 5 6 6 5 5 4 5 4 4 4 4 3 4 5 5 5 5 6 5 5 5 6 6 6 7 6 6 6 7 7 8 7 7 6 7 8 8 9 10 8 7 7 6 6 5 6 8 10 10 9 7 8 7 6 6 6 9 9 9 8 7 7 7 9 9 8 7 7 7 7 7 8 8 8 9 9 8 8 7 8 9 9 9 10 10 10 9 8 8 8 8 8 7 5 6 6 6 7 9 9 10 11 9 8 9 9 9 8 9 9 9 8 8 7 7 7 8 9 9 9 9 10 10 10 11 10 9 7 4 4 5 6 6 6 5 5 6 6 8 8 8 7 7 8 9 9 9 10 nan
nan 7 7 7 7 7 6 6 6 5 5 5 6 6 6 6 5 6 7 6 5 4 5 5 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 6 7 7 7 6 6 6 7 8 7 6 6 7 9 9 9 9 8 6 4 5 7 8 9 9 10 9 8 7 8 7 6 6 8 9 9 8 7 7 8 8 8 8 7 8 8 7 7 7 8 8 9 9 8 7 7 7 8 8 8 8 9 10 9 8 8 8 8 7 6 5 6 6 6 7 8 9 10 10 9 8 8 9 9 9 9 8 9 9 9 8 7 7 6 8 9 9 8 9 10 11 11 11 11 11 10 9 8 8 9 9 8 7 5 5 6 8 8 8 7 7 9 9 9 9 9 nan
nan 7 7 7 7 7 7 6 6 6 5 6 6 6 5 5 5 5 6 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 6 6 7 7 7 6 6 6 5 6 7 7 6 7 8 9 9 8 7 7 6 5 7 8 8 9 8 8 8 7 7 8 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 9 9 8 6 6 7 8 8 8 8 8 9 10 9 8 8 7 6 6 6 7 8 7 7 7 8 8 8 8 7 7 7 8 10 9 9 9 9 9 9 8 8 7 6 7 8 9 10 11 10 9 9 10 10 11 11 11 11 10 8 6 5 7 9 8 7 7 6 6 7 8 10 11 11 10 9 nan
nan 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 5 6 7 7 8 8 8 8 7 6 6 6 6 7 7 7 7 8 8 7 7 8 8 8 8 7 8 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 8 7 7 8 9 9 9 8 8 9 10 11 10 8 6 6 5 6 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 6 6 7 8 9 10 10 10 10 11 11 12 12 12 12 10 9 7 5 6 9 9 8 7 6 6 6 7 10 11 11 11 9 nan
nan 7 7 7 8 7 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 8 8 7 6 6 6 5 5 5 6 7 8 8 7 7 7 6 6 6 7 7 6 6 7 8 8 7 6 7 8 8 8 8 7 8 10 11 11 11 10 9 8 8 8 8 8 9 9 10 10 8 8 8 8 9 9 10 9 9 9 9 9 11 12 10 6 5 6 7 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 7 8 9 8 6 6 7 8 7 7 9 10 11 12 12 12 11 10 9 10 11 11 12 10 7 5 5 5 6 7 7 8 9 8 8 8 7 nan
nan 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 4 3 4 4 4 4 5 5 4 4 4 4 5 6 6 6 6 5 6 7 8 8 7 6 6 5 5 5 6 7 7 7 7 7 7 7 6 7 7 7 6 6 6 7 7 7 6 6 8 9 7 7 8 7 8 11 11 10 10 8 8 8 7 8 9 9 9 9 10 9 8 8 8 9 9 9 9 8 9 9 9 10 11 11 7 5 6 8 10 10 10 10 10 10 9 9 9 9 10 10 9 9 10 10 9 8 7 7 7 7 7 7 9 8 7 7 8 9 8 8 8 8 9 10 10 8 7 6 7 9 10 10 10 10 8 7 6 7 7 7 8 9 7 5 5 6 6 nan
nan 7 8 8 7 7 7 6 7 7 6 6 5 5 4 4 4 4 3 3 3 3 4 4 5 4 5 5 5 5 6 7 6 6 6 6 6 8 8 8 7 6 6 6 5 5 6 7 7 7 7 8 7 6 7 8 8 7 7 7 8 8 7 6 6 6 7 7 7 7 7 7 9 10 10 9 9 8 8 7 8 9 9 9 9 9 8 7 7 8 9 9 10 10 9 8 9 9 9 10 10 8 5 7 9 11 11 10 9 9 9 9 9 10 10 10 11 11 10 9 9 8 7 6 6 6 6 6 6 7 8 8 8 8 9 10 9 9 8 7 7 6 7 5 5 6 7 8 7 6 5 5 7 10 9 9 9 8 8 7 6 6 9 11 8 nan
nan 8 7 8 8 8 7 7 6 6 6 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 6 5 6 6 6 6 6 7 8 8 8 7 7 6 6 5 6 6 7 7 7 8 7 7 7 7 8 7 7 8 8 8 8 7 7 6 7 7 7 7 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 8 9 9 9 10 9 8 7 7 9 11 10 8 8 7 8 8 8 8 9 9 10 12 12 10 9 9 8 7 7 9 9 9 8 7 8 8 8 9 10 9 9 10 9 8 7 7 7 7 6 6 8 9 8 8 8 8 7 8 9 9 8 9 10 11 11 11 13 15 13 8 nan
nan 8 7 7 8 8 7 7 6 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 4 5 5 5 6 7 7 7 6 6 7 8 8 7 7 7 7 6 5 6 6 7 7 7 8 7 7 7 8 8 8 8 8 9 9 8 8 7 7 7 8 8 9 9 10 10 10 10 10 9 9 8 7 8 8 8 8 9 8 7 7 6 7 8 9 10 9 7 9 9 9 10 10 8 8 8 9 9 7 6 5 5 6 7 8 8 8 9 9 10 10 9 8 8 9 9 9 10 10 10 11 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 10 12 14 17 17 15 10 6 nan
nan 8 7 7 8 8 7 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 5 5 4 4 5 5 5 6 6 6 7 7 6 6 7 7 7 8 7 8 8 6 6 6 6 7 6 7 7 7 7 8 8 8 8 9 9 9 9 8 7 8 8 8 9 9 10 11 12 11 10 9 8 8 7 8 8 8 9 9 9 8 8 7 6 5 6 8 10 10 8 8 10 9 10 10 9 8 8 9 8 6 5 5 5 5 6 7 8 9 10 9 8 8 8 7 7 7 8 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 10 9 9 10 11 11 11 12 13 12 12 10 9 10 13 14 13 9 9 nan
nan 8 8 7 7 7 7 7 6 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5 5 6 5 7 7 6 7 6 6 5 6 7 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 8 8 9 10 10 9 8 8 8 7 9 9 9 9 10 11 12 11 9 8 7 6 7 8 8 8 9 9 8 7 7 7 7 5 6 6 8 9 9 8 8 8 8 8 9 8 7 7 6 5 5 6 7 7 6 8 8 9 10 10 9 8 8 8 8 8 7 10 11 10 9 9 9 8 7 8 9 9 9 8 8 10 10 9 9 9 9 10 10 9 10 10 9 9 10 11 13 13 14 13 14 15 14 13 11 11 11 8 8 10 11 12 nan
nan 8 8 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 7 7 7 7 7 6 6 5 5 6 7 8 8 9 8 7 6 6 6 7 7 7 8 8 7 8 8 9 10 9 8 8 9 9 9 10 10 9 9 10 11 10 9 8 6 6 7 9 10 9 9 9 7 7 6 6 7 7 6 6 6 7 9 8 7 6 6 6 6 6 5 4 4 3 5 6 8 8 8 9 9 10 10 11 10 9 8 9 9 9 9 10 12 10 8 7 7 8 7 7 8 9 9 8 7 8 9 9 9 9 8 9 9 9 9 9 9 9 11 12 12 13 14 14 13 14 12 11 12 13 15 14 10 8 8 9 11 nan
nan 7 7 7 7 7 7 6 6 5 5 5 6 6 5 6 6 5 6 6 5 5 5 4 5 5 5 6 7 7 6 6 6 6 6 5 5 6 7 8 8 8 7 6 7 7 7 7 7 8 8 7 8 8 9 9 9 9 8 9 10 10 10 11 10 8 9 9 9 8 8 8 7 7 9 10 10 9 8 8 7 7 7 7 7 7 6 5 6 8 8 7 5 5 5 6 6 5 5 4 4 5 6 8 8 8 8 9 9 9 10 10 10 9 9 9 10 10 11 13 12 9 7 8 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 11 11 11 11 12 11 11 11 10 10 12 14 13 9 8 9 9 8 10 nan
nan 7 7 7 7 7 7 7 6 5 5 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 6 7 7 7 6 6 6 6 6 5 5 6 7 8 8 8 8 7 7 7 7 8 8 7 7 7 7 8 9 9 9 9 9 10 10 10 10 11 9 9 9 9 8 8 8 7 6 7 8 9 8 8 9 8 8 8 7 8 8 7 4 5 7 8 7 5 5 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 11 10 10 10 10 10 11 13 12 10 8 8 9 11 11 10 9 9 9 9 9 9 9 8 7 8 8 9 10 9 9 8 9 9 10 9 8 9 9 9 9 9 9 9 10 11 10 8 7 10 12 11 10 10 nan
nan 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 6 5 5 5 5 5 5 6 6 7 8 8 7 6 6 5 5 5 5 6 7 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 9 9 9 9 9 10 10 9 9 10 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 7 8 8 8 5 4 6 7 7 7 6 7 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 11 11 12 11 9 8 7 8 10 11 9 9 9 10 10 10 10 9 9 8 7 8 9 10 9 9 8 8 8 8 8 8 8 8 7 6 7 8 7 7 7 7 7 7 10 13 13 12 12 11 nan
nan 6 7 7 7 7 7 6 7 6 6 6 6 6 6 7 6 6 6 5 5 5 5 5 6 6 6 8 8 8 7 7 6 6 5 5 5 6 7 7 8 7 7 7 7 7 8 8 8 8 8 8 7 8 8 9 8 9 9 9 8 8 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 9 8 7 7 7 7 6 4 5 7 8 7 7 7 7 8 8 8 8 7 6 8 8 8 9 9 8 8 9 9 10 11 10 10 11 10 10 10 9 8 8 8 8 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 7 7 6 5 5 5 5 6 6 6 7 8 9 10 10 13 12 nan
nan 6 7 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 6 5 6 7 8 8 7 7 6 6 6 5 5 6 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 8 7 6 6 7 7 8 9 8 8 8 8 8 9 8 7 7 7 8 7 5 5 6 8 8 8 8 7 7 8 8 7 8 8 8 8 9 9 8 8 8 8 9 10 10 10 8 10 11 10 9 8 7 7 9 9 8 9 10 10 10 11 12 12 10 9 9 9 9 9 10 10 10 11 10 9 9 8 8 7 7 8 8 8 8 7 7 6 6 7 7 7 7 8 8 8 7 7 9 11 11 nan
nan 7 8 9 8 8 7 7 7 8 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 7 6 7 8 7 5 5 5 6 7 7 8 9 9 9 10 10 9 9 7 7 8 8 9 8 6 7 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 7 7 10 11 10 9 8 7 8 10 10 10 10 10 11 11 12 11 10 9 9 9 8 9 10 10 9 10 11 10 10 10 9 9 9 9 9 9 10 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 9 nan
nan 8 9 8 8 8 8 8 7 8 8 7 7 7 6 6 6 5 5 5 6 6 6 5 6 6 7 8 8 7 7 7 6 6 6 6 6 7 7 6 7 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 7 8 7 7 7 7 8 6 4 5 6 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 10 10 9 8 7 7 7 8 8 8 9 9 8 9 9 9 8 8 9 9 9 9 9 8 6 8 11 12 11 8 6 6 10 11 11 10 9 10 10 11 11 9 8 7 8 9 9 10 10 9 9 11 11 11 11 12 11 10 11 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 10 11 11 10 8 7 nan
nan 8 8 8 7 7 7 8 8 8 7 7 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 9 8 7 7 8 8 7 8 8 7 7 6 7 8 9 10 10 10 10 11 11 10 9 9 10 10 9 9 8 7 7 8 9 9 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 7 7 10 13 13 10 7 6 10 12 11 9 8 8 10 11 12 12 10 9 9 9 9 9 11 10 9 11 13 12 12 12 12 11 11 12 13 13 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 10 9 8 7 nan
nan 9 8 8 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 6 6 7 7 7 7 7 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 7 8 9 9 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 7 6 6 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 10 10 9 8 9 12 13 12 9 8 11 13 11 9 7 8 9 11 12 11 10 10 11 10 9 10 11 12 11 11 11 11 11 11 11 11 10 10 11 13 14 14 13 13 12 12 11 10 10 9 9 9 9 8 8 8 7 7 7 7 nan
nan 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 6 6 6 7 7 8 8 9 9 10 9 9 8 8 9 9 9 8 8 7 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 9 9 7 7 6 6 6 7 8 8 9 9 7 7 6 7 7 8 9 9 8 9 9 9 9 9 9 9 9 9 8 9 10 9 9 9 10 10 12 13 11 8 10 14 13 10 9 9 11 12 13 11 9 7 8 10 8 8 10 12 12 10 10 9 9 9 11 11 10 10 11 12 12 12 13 13 12 11 11 11 11 10 10 10 9 9 8 8 8 7 6 6 6 nan
nan 8 8 8 8 9 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 7 7 6 6 7 6 6 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 10 9 8 7 8 8 7 6 5 6 7 7 8 9 10 10 8 6 6 6 6 7 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 13 12 10 9 12 14 13 11 10 10 11 11 10 8 7 7 7 8 8 10 11 11 9 7 8 9 10 12 12 11 9 9 10 11 11 10 11 11 10 9 9 9 8 8 9 10 10 10 9 10 9 7 7 6 6 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 10 9 7 8 8 8 7 7 7 8 8 8 9 9 10 8 6 6 6 7 8 9 9 9 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 12 12 11 10 12 12 11 9 9 8 8 8 6 6 6 6 8 8 9 11 10 9 7 7 8 10 11 12 12 11 9 9 10 10 11 11 10 10 10 10 10 8 7 8 9 10 11 11 12 12 11 10 9 8 8 nan
nan 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 7 6 6 6 6 6 6 6 6 7 7 8 8 8 9 8 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 9 9 8 8 10 10 9 8 7 8 9 8 8 8 8 9 9 9 9 9 9 7 5 7 8 9 9 8 8 7 7 7 9 10 9 10 9 9 9 9 9 9 9 9 10 10 10 9 10 12 13 11 10 11 10 7 6 6 6 7 6 6 6 8 9 9 8 8 9 10 8 8 9 10 11 11 10 10 9 8 8 9 10 10 10 11 10 10 11 11 10 10 10 10 10 11 11 12 12 12 11 11 10 9 nan
nan 9 9 8 8 8 8 8 8 8 8 7 7 8 7 7 8 8 7 8 8 7 6 6 6 7 7 8 7 7 7 6 6 6 6 6 6 7 8 8 9 9 9 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 10 10 9 8 8 9 9 9 9 9 9 10 10 10 9 8 8 6 7 9 9 9 8 7 7 8 8 8 10 10 9 10 10 9 9 9 9 9 9 9 10 11 11 10 11 12 11 8 8 9 7 5 4 4 6 8 8 9 10 11 12 10 8 7 9 10 10 12 12 13 11 9 9 8 6 5 5 7 9 9 8 8 9 9 9 9 9 11 11 12 12 11 11 10 10 11 12 12 12 12 nan
nan 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 8 8 9 9 8 8 8 8 7 7 7 7 7 8 8 7 6 7 7 7 8 9 9 9 9 10 10 9 9 10 9 9 9 9 9 9 9 9 9 10 10 9 8 8 7 7 8 9 9 9 8 8 8 9 10 10 10 9 10 10 10 9 9 9 8 8 8 9 10 11 10 10 12 11 8 5 7 7 6 5 6 7 9 9 10 11 11 11 10 8 7 8 9 10 12 13 13 10 8 7 7 6 4 4 4 5 6 7 7 7 7 8 8 7 7 10 12 14 14 12 11 10 11 11 12 13 14 13 nan
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nan 9 8 8 8 8 8 8 8 8 7 7 7 8 8 7 8 7 6 6 5 5 5 5 6 6 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 8 9 9 8 8 8 7 7 8 9 9 9 10 10 9 9 9 9 12 12 11 9 8 10 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 10 8 8 9 10 11 12 13 13 11 9 10 11 11 10 9 7 7 8 9 10 10 10 7 5 5 6 7 7 7 8 10 12 12 11 8 6 6 7 8 8 8 9 8 7 6 6 6 9 11 12 12 12 12 12 12 nan
nan 9 9 9 9 9 8 8 8 8 7 7 8 7 8 7 7 6 6 5 6 6 6 6 6 6 5 6 6 5 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 9 10 9 8 8 9 9 9 8 8 9 8 8 9 10 9 9 10 10 10 10 9 10 12 10 7 7 9 10 11 11 9 9 9 9 9 10 10 10 11 12 12 12 11 10 8 8 10 11 12 13 12 10 8 8 9 11 11 10 10 8 8 8 9 8 8 7 5 5 6 9 10 9 10 11 13 15 14 12 10 9 9 10 9 8 7 7 7 8 7 6 7 8 9 9 9 9 9 10 10 nan
nan 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 7 7 8 8 9 10 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 8 8 8 9 9 10 10 10 11 10 9 10 9 8 7 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 12 10 9 8 9 11 11 12 12 10 7 6 8 10 12 11 10 10 10 9 9 8 7 7 6 6 7 9 10 11 11 11 12 13 14 11 10 10 11 12 12 10 9 9 10 11 11 11 10 10 9 7 7 6 5 5 5 7 nan
nan 10 10 10 9 9 9 9 8 9 9 9 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 10 9 10 10 10 10 10 9 8 9 9 9 9 9 9 8 8 8 8 9 10 10 10 11 10 9 8 9 9 9 9 10 10 11 11 10 10 9 9 10 10 10 10 10 12 12 11 10 8 8 8 10 11 12 11 10 9 8 8 9 11 11 11 10 9 10 10 10 9 8 8 9 9 9 11 11 11 11 12 12 11 9 8 8 9 10 11 10 9 10 12 12 12 12 13 13 12 9 8 8 7 5 4 5 7 nan
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nan 10 11 11 12 11 10 9 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 12 12 11 11 10 10 10 10 9 9 9 9 9 11 10 10 10 10 10 10 11 12 13 13 12 11 12 14 13 12 10 11 12 12 11 12 13 13 13 13 13 12 12 11 10 11 12 12 11 11 12 11 12 12 12 12 12 11 10 9 9 10 10 11 12 12 11 10 10 11 11 12 12 11 11 11 10 10 11 12 12 11 10 10 9 9 9 9 11 13 14 13 12 17 25 29 30 24 17 13 11 15 17 17 16 11 12 16 15 11 10 14 19 24 26 25 22 19 17 16 16 15 14 15 14 13 12 12 12 13 13 12 11 11 10 9 8 nan
nan 11 12 12 12 11 10 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 12 12 11 10 10 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 11 13 14 13 12 11 12 13 13 11 9 12 14 13 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 11 12 11 10 9 8 9 9 10 11 12 11 10 10 10 10 11 11 12 11 11 11 10 10 10 11 11 10 9 8 8 8 7 7 8 9 11 11 11 12 14 15 16 14 11 10 9 6 5 7 10 12 11 12 17 21 24 26 28 28 26 22 18 16 14 14 14 14 13 12 12 11 10 10 10 9 10 10 10 10 9 7 7 7 nan
nan 10 10 11 11 10 9 7 7 7 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 11 11 11 11 11 11 10 10 11 12 12 10 9 9 9 9 10 10 9 9 10 11 11 12 13 13 14 13 11 10 12 12 11 11 13 13 12 10 10 10 11 12 13 12 12 12 11 10 11 11 11 11 9 8 8 9 11 12 10 8 7 8 9 9 11 11 11 10 9 9 10 10 11 11 11 11 11 10 10 10 10 8 5 5 4 3 -0 -3 -0 4 5 8 10 12 12 12 11 11 11 10 8 3 -2 -4 2 10 15 15 16 18 20 22 22 22 21 20 17 13 12 12 12 11 13 13 12 12 12 11 9 9 10 8 7 9 11 10 8 9 11 14 nan
nan 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 10 11 11 11 10 11 11 11 11 9 9 10 12 13 13 11 9 9 10 10 9 9 9 10 10 11 12 12 13 13 13 12 11 10 11 11 10 11 12 12 11 10 10 11 12 12 12 12 11 11 10 10 11 11 10 11 9 7 9 11 12 11 7 6 6 8 10 11 11 12 10 9 9 9 10 10 11 11 11 11 10 9 9 10 6 -2 -7 -5 -4 -10 -13 -13 -5 5 7 7 8 10 8 5 5 7 9 7 0 -8 -11 1 16 22 23 19 19 18 18 17 15 13 13 13 12 11 11 12 12 12 12 12 11 11 10 9 10 9 9 7 7 10 13 12 13 14 15 17 nan
nan 8 9 9 9 9 8 8 8 8 8 8 7 9 9 9 9 9 10 10 11 11 10 11 11 11 11 10 10 10 9 9 10 12 13 13 10 9 9 10 10 9 9 10 11 11 11 12 12 13 13 12 11 11 11 12 11 10 11 11 11 11 11 12 12 13 12 11 11 11 10 10 11 10 10 10 10 10 10 11 14 13 8 5 4 2 1 3 7 10 10 7 7 8 9 11 11 11 11 11 10 10 9 9 8 -0 -11 -16 -8 -3 -6 -4 -1 4 7 7 7 8 2 -6 -7 -2 4 5 1 -6 -12 -5 17 29 28 20 16 16 15 13 12 13 12 12 12 12 11 10 11 11 12 12 12 11 10 9 9 10 10 10 8 7 9 14 15 14 14 13 13 nan
nan 9 9 9 9 9 8 8 8 8 7 8 8 8 9 9 10 11 10 10 10 10 11 10 10 11 11 10 10 9 9 9 11 13 12 11 9 9 9 10 10 10 10 11 11 12 11 11 12 13 13 11 11 11 11 12 12 11 10 11 12 12 12 12 12 12 11 10 11 11 11 12 12 11 10 10 9 8 9 10 13 10 5 4 3 1 1 5 7 7 4 2 2 5 9 11 12 12 11 10 8 8 8 8 2 -10 -14 -9 0 4 6 8 9 10 10 9 9 9 2 -6 -5 1 6 4 -2 -9 -11 1 23 36 29 16 13 12 12 11 11 12 13 12 11 10 10 10 10 12 13 13 13 11 10 9 9 9 10 10 9 8 8 15 19 17 13 13 13 nan
nan 9 9 9 9 9 8 7 7 6 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 13 11 9 8 8 8 9 10 11 12 12 12 11 10 12 13 13 12 11 10 10 11 11 11 11 10 11 12 13 12 11 12 12 11 11 10 10 11 12 14 15 12 12 10 6 4 3 4 3 4 4 5 7 11 14 10 4 -2 -2 -0 2 5 8 10 11 11 8 6 3 1 -3 -11 -14 -8 -0 5 6 7 8 9 11 11 12 12 12 10 9 10 10 9 6 3 2 7 22 36 41 32 16 12 11 11 10 11 12 12 12 11 10 11 10 11 12 12 14 15 13 10 9 9 10 10 9 9 9 12 16 18 15 13 13 13 nan
nan 9 9 9 9 8 8 7 6 6 6 7 8 8 9 9 10 10 10 9 10 10 10 10 11 11 11 11 10 10 10 11 12 12 10 9 8 8 8 9 11 13 14 13 12 10 11 12 13 13 12 11 10 9 9 11 11 11 10 11 12 12 12 11 11 12 12 11 11 11 10 10 13 16 16 16 14 10 7 4 2 3 5 7 9 11 14 16 14 10 5 2 2 2 4 7 9 10 10 5 1 -1 -4 -7 -6 -2 2 5 6 6 8 9 10 12 13 13 14 14 15 15 14 13 12 12 13 15 26 39 40 34 22 13 11 11 10 10 11 12 12 12 11 11 11 11 11 11 13 15 15 12 10 9 9 10 9 9 9 11 13 14 14 13 13 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
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