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 10 10 10 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 6 6 6 6 8 9 8 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 9 11 11 9 8 7 6 6 6 6 8 9 10 10 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 10 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 nan
nan 11 11 10 9 9 8 6 6 6 6 7 7 7 7 7 6 7 7 6 7 7 7 6 6 6 6 7 7 7 8 8 7 6 7 7 7 7 7 6 7 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 9 10 10 10 8 7 7 7 7 7 7 9 10 9 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 7 7 7 6 6 6 6 7 7 7 7 7 nan
nan 11 11 10 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 6 6 7 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 9 10 10 9 8 7 7 7 7 8 9 9 9 8 6 6 7 8 8 8 8 8 8 9 9 8 8 8 8 9 10 9 9 9 9 8 8 8 7 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 7 7 7 6 7 7 7 7 6 6 6 6 7 7 7 7 nan
nan 10 10 10 9 8 8 7 7 6 7 7 8 8 8 7 7 7 6 7 7 7 7 6 6 6 6 7 8 8 7 7 7 7 7 7 7 7 7 6 7 9 9 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 9 9 9 9 8 7 7 8 9 9 9 9 8 7 6 7 8 8 8 7 8 8 9 9 9 8 8 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 7 7 7 7 nan
nan 9 9 9 9 8 8 8 7 7 7 8 8 8 8 7 8 7 7 7 7 7 6 6 6 6 6 7 8 9 9 8 7 7 7 7 7 7 8 6 7 9 9 8 8 8 7 7 7 8 9 9 8 8 8 8 8 9 9 8 9 10 9 8 8 8 8 9 9 9 9 9 8 7 7 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 7 7 7 8 nan
nan 9 9 9 9 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 5 5 6 6 7 8 9 9 8 7 7 7 7 8 7 7 8 9 9 8 8 8 7 7 8 9 9 8 8 8 8 9 9 9 8 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 7 7 7 6 7 7 8 nan
nan 8 9 9 9 9 8 8 7 7 8 8 8 8 7 6 7 8 8 7 6 6 5 5 5 5 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 9 10 9 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 10 9 8 7 7 6 6 7 7 8 8 8 7 7 8 7 7 7 7 7 8 8 7 7 7 7 7 8 nan
nan 9 9 9 9 9 8 7 7 7 8 8 8 7 6 6 7 8 8 7 6 6 6 5 5 5 6 7 8 8 8 7 7 8 9 9 9 8 7 7 8 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 8 8 9 8 8 8 8 8 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 7 7 6 6 7 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 nan
nan 9 9 9 9 8 8 7 7 7 7 8 8 7 6 5 6 7 8 7 6 6 6 6 5 5 6 6 7 7 8 8 7 7 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 9 9 9 8 8 8 8 9 10 9 8 8 9 9 8 8 8 7 7 7 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 10 10 10 9 9 8 7 7 7 7 8 7 6 5 5 6 8 8 7 7 7 6 5 5 5 5 6 5 5 6 7 6 6 7 7 7 8 9 9 9 9 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 9 9 9 10 9 9 8 8 8 10 11 10 9 9 9 9 9 8 7 7 7 8 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 nan
nan 10 10 10 10 9 9 8 7 7 7 7 6 5 4 5 8 10 10 8 8 8 7 5 4 5 5 6 5 5 6 6 6 6 6 6 6 7 7 9 9 9 9 10 10 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 10 10 9 9 8 8 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 6 7 7 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 nan
nan 10 11 10 10 10 9 9 8 8 8 7 5 4 4 6 9 11 11 10 9 8 7 6 5 6 6 6 6 6 6 7 7 6 6 6 7 8 8 8 9 9 9 10 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 11 11 10 9 10 10 10 11 10 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 6 6 7 7 7 7 nan
nan 10 11 11 10 10 10 9 9 8 8 7 6 4 5 7 10 12 11 10 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 9 9 8 8 7 7 8 9 10 10 11 11 11 11 11 11 11 12 12 13 14 14 13 12 10 10 10 10 11 11 11 10 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 6 7 nan
nan 11 11 11 10 10 10 10 9 8 8 7 6 5 6 8 11 12 12 10 9 9 9 9 8 7 6 6 6 7 7 7 6 6 6 5 6 8 9 8 7 6 5 5 6 7 9 9 10 10 10 10 10 11 11 12 13 13 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 5 6 7 8 7 7 7 nan
nan 11 11 11 11 11 11 10 9 8 8 7 7 6 7 8 11 12 11 9 8 8 8 9 9 8 6 6 5 5 6 7 7 7 7 6 6 6 7 7 6 5 4 4 4 6 8 8 8 8 8 8 9 10 10 11 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 9 10 10 9 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 7 7 7 7 nan
nan 12 11 11 11 11 10 9 9 8 8 8 7 7 7 9 11 11 10 8 6 6 7 8 9 8 6 5 4 4 5 7 7 7 7 7 6 6 6 6 5 4 4 4 5 6 7 8 8 7 6 7 8 10 10 11 12 12 12 11 10 9 10 10 10 10 11 10 9 9 9 8 8 9 9 9 9 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 8 9 9 8 8 8 8 8 8 8 9 9 9 7 7 6 6 6 6 7 7 7 6 6 6 nan
nan 12 12 11 11 10 9 7 7 8 8 8 8 7 8 9 10 11 9 7 6 6 6 7 7 7 7 5 4 4 4 5 5 6 7 7 7 6 5 4 4 4 4 5 6 7 7 8 7 6 6 6 8 9 10 11 12 13 13 11 10 9 10 10 10 11 11 10 9 8 8 8 8 9 9 9 8 8 8 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 7 7 6 6 6 6 7 7 7 6 6 6 nan
nan 12 11 10 10 9 7 5 5 6 7 8 8 7 7 8 9 10 9 7 6 6 7 7 7 7 7 7 5 5 4 4 5 5 6 7 7 6 5 4 4 5 5 6 6 7 7 7 7 6 5 6 7 9 10 11 12 13 12 11 10 10 10 11 11 11 10 9 8 7 7 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 10 10 9 9 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 7 7 8 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 7 7 6 nan
nan 11 10 9 9 8 7 5 4 4 6 7 7 7 6 7 9 10 9 8 7 7 7 8 7 7 8 7 6 5 5 6 6 6 6 7 7 7 6 5 6 7 7 6 6 6 7 7 6 6 5 6 8 9 9 10 11 11 11 10 10 11 11 11 11 10 9 9 8 7 7 8 8 9 9 10 10 9 8 7 7 7 7 7 8 9 10 11 10 9 8 9 9 8 8 8 8 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 8 9 10 9 9 9 8 8 8 8 8 8 8 9 9 8 8 7 7 nan
nan 9 9 8 8 7 6 5 5 5 6 6 7 6 6 7 8 9 8 7 7 7 7 8 9 9 9 8 6 6 6 7 8 8 8 9 8 8 7 7 7 8 8 7 6 6 6 6 6 6 6 7 8 9 9 9 9 9 10 10 11 12 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 9 8 7 7 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 6 6 5 5 5 6 6 6 7 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 9 8 8 7 6 6 6 6 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 8 9 9 8 7 6 7 8 9 10 11 11 11 10 9 8 8 8 8 7 7 7 8 8 7 7 8 8 9 9 9 9 9 8 9 10 12 13 12 12 11 10 10 10 10 9 10 11 11 11 10 9 8 8 8 8 9 9 9 8 7 7 8 8 9 8 8 8 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 7 7 6 6 5 5 6 7 7 8 9 10 11 11 11 11 10 9 8 8 8 9 9 9 8 8 9 nan
nan 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 9 8 6 5 5 6 7 7 7 8 8 8 7 7 8 8 9 11 13 14 14 13 12 10 8 7 7 8 8 9 10 10 9 9 9 10 10 9 9 10 9 8 8 9 11 12 12 12 11 11 11 10 10 9 10 11 11 10 8 8 8 8 8 9 9 9 8 6 5 5 6 7 7 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 10 9 9 8 8 7 6 6 6 6 7 8 9 10 11 11 12 11 10 9 8 7 8 9 9 9 8 9 10 nan
nan 9 8 7 7 6 7 9 9 9 8 8 9 8 8 9 9 8 5 4 5 6 7 7 7 8 8 8 8 8 8 8 10 12 14 15 15 15 13 12 9 7 7 8 9 10 11 11 11 10 10 10 10 9 9 10 9 8 8 9 11 11 11 12 12 12 11 11 10 9 10 10 9 8 8 8 8 8 9 9 9 8 6 5 5 5 6 7 8 8 7 7 6 5 5 5 6 7 8 8 8 9 9 9 10 10 10 9 9 8 7 6 6 6 6 6 7 8 9 10 11 11 10 9 8 7 7 7 8 9 8 8 9 9 nan
nan 9 8 7 7 8 9 10 10 9 9 9 9 8 8 8 9 8 6 5 6 6 6 7 7 8 9 9 9 9 9 10 12 13 14 14 14 14 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 9 11 11 11 12 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 9 9 9 8 7 5 5 5 6 7 8 8 8 9 9 9 10 10 9 9 9 9 8 7 7 7 7 7 7 8 9 10 10 10 9 8 7 6 7 8 9 10 9 8 8 8 nan
nan 8 7 7 8 9 9 10 10 10 10 9 9 8 8 8 8 7 6 6 6 6 6 6 8 9 8 8 8 9 10 10 12 13 12 12 12 12 11 12 11 11 11 10 9 9 9 9 9 9 9 9 10 10 9 8 8 7 8 10 11 11 12 13 12 11 10 9 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 9 9 9 8 9 10 10 10 9 8 7 7 6 7 7 7 8 8 8 8 9 9 9 8 9 9 10 9 8 7 7 7 7 8 9 10 10 10 9 8 7 6 7 8 8 9 10 9 8 7 7 nan
nan 7 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 7 8 9 9 7 6 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 7 8 7 7 7 8 9 10 10 9 7 7 7 8 9 10 11 12 12 11 10 9 9 9 9 10 11 12 12 11 10 8 7 7 7 8 8 9 9 9 9 9 9 10 10 11 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 9 8 7 7 7 8 8 9 10 10 10 9 8 7 7 7 8 8 7 7 7 6 6 6 nan
nan 8 8 9 9 9 9 9 9 9 9 8 7 8 8 7 6 5 5 6 6 7 8 10 11 8 5 5 5 5 5 4 4 4 5 5 5 6 5 5 5 6 7 6 6 6 6 6 5 5 6 8 9 9 8 7 7 8 9 9 9 10 11 11 10 9 9 9 9 10 10 11 11 11 10 8 7 7 7 7 8 9 10 9 9 9 8 8 9 10 10 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 7 7 8 7 7 8 9 9 9 9 10 10 9 8 7 7 7 6 5 5 5 6 6 nan
nan 8 9 10 10 10 10 9 9 9 8 8 7 8 8 7 6 5 4 5 6 7 9 11 10 7 5 4 4 4 4 4 4 4 4 4 3 3 3 2 3 4 4 4 4 5 5 5 4 5 6 7 8 8 8 7 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 8 7 8 8 9 9 10 10 9 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 8 7 8 8 9 8 7 8 8 8 8 9 10 11 11 10 9 9 8 7 6 7 7 8 8 nan
nan 9 10 10 11 11 10 10 9 8 8 8 8 8 8 7 6 5 4 4 6 7 9 10 10 8 6 5 4 4 6 7 8 7 5 3 2 2 2 3 3 4 4 3 4 5 5 5 5 6 6 7 7 7 7 7 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 8 8 9 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 10 11 11 11 11 11 10 9 9 10 10 10 10 nan
nan 10 11 11 11 11 11 10 9 8 8 8 8 8 8 7 7 6 5 5 5 6 8 10 10 9 6 4 4 5 7 9 10 9 6 4 2 2 4 4 4 4 3 4 4 6 6 7 7 7 7 7 7 7 8 8 9 9 9 8 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 10 11 10 10 9 9 9 9 9 8 8 7 7 8 8 9 9 9 8 8 8 9 9 8 8 9 9 8 7 7 7 7 8 8 9 10 10 10 10 10 11 11 12 12 12 12 12 nan
nan 12 12 12 11 11 11 10 9 8 8 8 8 8 8 8 7 6 5 5 5 6 8 10 11 9 5 4 5 5 6 8 9 9 7 4 3 4 6 6 5 4 4 4 5 6 8 8 9 8 8 8 9 10 10 10 10 9 8 7 7 6 7 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 11 11 11 10 10 9 9 9 9 8 8 8 7 7 8 8 9 9 9 9 10 10 9 8 7 8 8 7 6 7 7 7 8 8 9 9 9 8 8 8 10 11 12 13 14 14 13 nan
nan 13 12 12 11 10 10 10 9 8 8 8 9 9 9 8 7 6 5 4 5 6 8 10 11 8 4 4 5 6 7 8 9 9 8 5 3 4 6 6 6 6 6 6 6 7 8 9 9 9 9 10 11 12 12 11 11 10 9 8 7 5 5 6 7 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 7 8 8 8 9 10 11 11 10 9 8 9 9 8 6 6 7 7 7 7 8 9 9 8 7 6 7 8 9 10 11 12 13 14 nan
nan 13 12 11 11 11 10 10 9 9 9 9 10 10 10 9 8 6 4 4 6 8 10 11 11 8 4 4 5 6 7 9 10 10 8 5 3 3 4 6 7 7 8 7 7 7 8 9 9 9 10 11 12 13 12 11 10 10 10 9 7 6 5 5 6 8 9 9 9 9 9 10 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 11 11 9 8 7 7 7 8 9 9 8 8 8 8 9 11 11 11 9 8 9 10 11 9 7 7 7 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 10 12 nan
nan 13 12 12 12 12 11 11 10 11 11 11 11 12 11 11 9 8 6 5 6 9 11 12 11 8 5 4 5 6 8 9 11 11 7 4 2 3 4 6 7 7 7 7 8 9 9 9 9 9 10 11 12 12 11 10 10 10 10 9 9 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 9 8 7 7 8 9 10 10 10 9 9 8 9 10 10 10 9 9 9 10 10 8 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 8 7 7 8 9 nan
nan 12 11 12 13 13 13 13 13 13 13 12 12 12 12 12 11 10 8 7 7 10 13 13 12 9 6 5 6 7 9 11 12 11 6 3 2 3 5 7 7 7 7 7 9 10 10 10 9 10 10 10 10 11 10 9 9 9 10 10 10 10 10 8 7 7 8 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 8 8 9 9 8 8 8 8 8 9 10 10 10 10 9 9 8 9 9 10 10 10 11 11 10 9 8 8 9 9 9 9 8 8 8 8 7 7 8 9 9 9 8 9 9 9 nan
nan 12 12 12 13 14 14 14 14 14 14 14 13 13 13 14 13 12 10 8 9 11 13 13 12 10 8 8 8 9 10 12 12 9 5 4 4 5 6 7 7 7 7 8 9 10 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 7 5 4 5 8 9 10 10 10 10 10 9 9 9 9 9 8 8 7 8 8 7 6 6 6 7 8 9 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 9 10 10 10 10 10 9 9 9 10 9 9 8 9 9 9 9 9 8 7 7 7 8 8 8 8 9 9 nan
nan 12 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 13 11 11 11 12 13 12 11 10 9 9 9 10 12 13 12 8 5 5 5 6 7 8 8 7 8 9 10 11 11 11 11 10 9 9 9 9 9 9 9 8 6 4 4 5 5 5 4 3 3 4 6 7 7 8 8 8 7 7 7 7 8 8 7 7 7 7 5 4 4 5 6 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 9 9 10 10 8 8 9 9 9 9 9 8 8 7 7 7 6 6 6 7 8 nan
nan 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 14 14 14 13 12 11 10 10 9 9 10 12 14 13 10 8 7 8 8 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 6 5 4 4 4 4 4 5 4 3 2 2 3 3 4 5 6 6 7 7 7 7 8 8 7 7 5 3 2 3 4 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 8 8 7 6 5 5 5 6 nan
nan 11 11 11 11 11 12 12 12 12 11 10 10 9 9 8 8 9 12 15 16 16 15 14 12 11 11 10 10 11 12 14 14 12 11 11 12 12 11 11 11 11 11 12 13 12 11 10 10 9 9 9 9 9 8 8 6 5 4 4 5 5 6 6 6 6 5 4 3 2 2 2 3 5 6 7 8 8 8 8 8 7 5 3 2 2 4 6 8 9 9 8 9 9 9 8 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 5 5 nan
nan 10 10 10 10 11 11 12 12 12 12 11 10 9 8 7 8 9 10 12 14 16 16 15 15 14 13 12 12 12 13 15 14 13 13 14 15 15 14 13 12 13 13 14 14 14 12 12 11 10 10 10 10 11 10 8 6 4 4 5 6 6 7 7 7 7 7 6 6 5 4 3 4 5 7 8 9 8 8 7 6 5 3 2 2 4 6 8 10 10 10 9 8 8 8 8 8 8 9 8 8 8 7 6 7 8 8 9 9 8 8 7 7 7 8 9 10 10 11 11 10 9 9 9 9 9 9 8 8 8 7 7 7 7 nan
nan 10 10 10 10 11 11 11 11 12 12 12 12 10 9 8 8 9 10 11 13 14 15 16 17 17 17 16 15 15 15 15 15 14 14 16 16 16 15 14 14 14 15 17 17 16 15 14 13 12 11 11 12 13 11 8 6 4 4 5 6 7 7 7 7 7 8 8 8 8 7 6 5 6 7 8 9 8 7 6 4 2 2 3 5 7 8 10 10 11 10 9 8 8 8 8 9 9 9 8 8 8 8 7 7 8 7 7 7 7 7 8 8 9 9 10 10 10 11 11 10 8 8 8 9 9 8 8 8 8 8 8 8 8 nan
nan 9 10 10 11 11 11 11 12 12 13 13 13 11 9 8 8 10 11 12 13 14 15 16 17 18 19 19 18 17 16 16 14 13 14 15 15 14 13 12 13 14 17 19 20 19 18 16 15 14 12 11 11 9 7 5 5 5 6 6 7 7 8 8 8 8 8 8 8 9 9 8 7 6 7 8 8 8 6 4 3 2 3 6 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 6 5 5 7 8 9 9 9 9 9 9 9 9 9 8 7 6 7 8 8 8 7 8 8 8 8 8 9 nan
nan 10 10 11 11 11 11 12 12 13 13 14 13 12 10 8 8 9 11 12 14 15 15 16 17 18 19 20 20 19 18 16 13 12 12 12 12 12 11 11 11 13 17 20 22 22 20 18 15 12 10 8 6 4 2 2 3 5 7 7 7 7 8 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 6 4 3 3 6 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 9 9 9 8 8 8 7 7 8 7 7 6 6 6 7 7 8 8 8 8 8 8 9 9 nan
nan 10 11 11 11 11 11 12 12 12 12 13 12 11 10 9 9 9 10 12 14 15 16 16 17 19 20 21 22 21 20 18 14 11 11 11 10 10 11 11 10 11 15 19 22 23 22 19 14 10 8 6 4 2 2 2 4 6 7 8 8 7 7 7 8 8 8 8 8 8 9 9 8 7 6 6 7 6 5 4 4 5 8 10 10 9 8 7 8 8 8 8 8 7 7 7 8 8 8 8 7 8 8 8 8 8 7 8 9 9 9 8 8 8 7 7 6 6 7 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 nan
nan 10 10 11 12 12 12 12 11 11 11 11 11 11 10 9 9 10 11 12 13 14 15 16 17 18 20 21 22 23 22 21 17 13 12 11 9 9 12 12 11 11 13 15 18 20 21 18 13 9 9 10 9 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 5 5 5 4 4 4 6 8 10 10 9 8 7 7 8 7 7 6 6 6 7 8 8 8 7 7 7 8 8 8 8 8 9 9 9 8 7 7 8 8 7 6 6 8 9 9 8 7 6 6 6 7 8 9 8 8 8 8 7 nan
nan 10 10 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 12 13 13 14 15 17 18 20 21 22 22 22 19 16 15 12 9 9 11 11 11 10 9 9 11 15 17 15 12 11 13 16 15 14 12 11 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 4 3 3 4 6 8 9 9 9 8 8 7 7 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 8 7 7 8 9 9 9 8 7 6 6 7 8 8 8 8 7 7 7 nan
nan 9 10 10 11 11 12 12 11 11 10 10 10 9 9 9 9 10 10 10 11 11 11 12 13 14 15 17 18 19 20 21 19 18 15 11 8 9 9 8 7 5 3 3 5 10 12 11 10 10 14 17 17 16 15 13 11 10 9 8 8 8 8 9 9 9 9 8 8 8 7 8 8 8 7 7 6 4 4 4 5 7 8 9 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 8 7 7 7 7 8 9 11 11 10 9 8 9 9 9 9 8 8 7 6 6 7 8 8 7 7 6 6 nan
nan 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 9 9 9 10 10 11 13 14 15 16 17 18 19 20 15 10 8 7 6 5 3 1 -0 1 4 6 8 8 7 7 9 11 13 14 15 15 14 13 12 10 9 9 9 9 9 8 8 7 7 7 7 8 8 9 8 7 6 5 5 6 7 9 9 8 7 7 7 7 8 8 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 8 7 7 7 8 9 10 11 11 10 9 9 9 9 9 8 8 7 6 5 5 6 6 7 7 7 7 7 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 10 11 12 13 13 14 15 18 18 13 9 7 6 6 4 2 2 2 3 5 6 7 6 6 6 6 7 9 11 14 16 16 15 13 11 11 11 11 10 9 8 7 7 7 7 8 8 9 9 7 5 4 4 5 7 9 9 9 8 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 9 9 7 7 7 8 9 11 11 10 8 8 8 9 10 9 8 7 6 6 6 5 5 5 6 7 7 7 8 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 15 14 11 8 7 7 6 5 5 5 6 7 8 7 7 7 7 7 7 7 8 10 12 13 14 13 11 11 11 12 11 10 9 8 7 7 7 8 8 9 9 8 6 4 4 5 7 9 10 9 8 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 8 7 6 7 9 10 10 9 8 7 7 9 9 9 8 8 7 8 7 7 6 6 6 6 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 9 10 11 11 10 9 8 8 8 7 8 9 10 10 9 8 8 8 9 10 10 10 9 9 9 9 9 8 8 9 9 10 10 9 9 9 8 8 8 9 10 10 9 7 5 6 7 9 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 7 8 8 8 7 6 7 9 10 10 9 8 7 8 10 10 10 9 9 10 10 10 9 8 7 7 7 7 7 8 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 7 8 9 10 9 9 10 11 10 10 11 13 14 13 11 10 10 11 12 13 13 12 11 9 7 6 6 6 7 7 7 7 8 9 10 10 9 9 9 9 10 9 8 7 8 9 10 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 8 8 9 9 8 7 6 7 8 8 8 8 7 7 9 11 11 11 10 9 10 10 10 10 10 10 11 12 11 10 9 9 9 9 9 9 9 nan
nan 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 7 7 8 9 9 9 10 12 13 13 14 15 16 14 13 13 13 13 13 13 13 12 11 9 7 7 7 8 8 7 7 7 8 9 9 9 9 9 10 10 10 9 9 9 10 11 12 12 11 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 8 9 10 9 8 8 8 9 9 9 9 9 9 11 12 13 13 12 11 11 11 11 11 10 11 12 13 12 11 10 11 11 11 10 10 11 nan
nan 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 9 10 12 14 15 16 16 15 13 12 13 13 13 12 11 11 10 10 9 8 8 8 8 9 9 9 8 8 8 7 7 7 8 10 10 9 9 8 9 10 11 11 10 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 9 9 10 10 10 10 9 10 11 11 11 11 11 11 12 13 13 13 13 13 12 11 11 11 11 12 13 13 13 12 12 13 14 13 12 11 11 nan
nan 8 8 9 9 10 10 10 11 10 10 10 9 9 9 8 8 8 8 8 9 9 8 8 8 8 9 9 9 8 7 7 7 7 8 9 10 11 13 15 16 15 14 11 11 11 11 11 10 9 9 9 9 10 10 9 9 8 8 9 9 9 8 7 6 6 7 9 10 10 9 9 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 11 11 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 13 13 14 13 12 12 11 11 11 12 13 13 13 12 13 14 14 14 13 12 11 nan
nan 7 7 8 9 10 10 11 11 11 10 10 9 9 9 8 8 8 8 8 9 8 8 8 9 9 10 10 10 9 8 7 7 7 8 9 10 11 13 14 15 14 12 11 10 10 10 9 9 8 9 9 9 10 11 11 10 9 9 8 8 8 7 7 7 7 9 10 10 10 9 9 8 8 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 9 9 10 11 12 12 13 13 13 14 13 11 10 9 9 10 10 10 11 11 11 12 13 13 14 14 13 12 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 11 11 nan
nan 7 7 8 8 9 10 11 11 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 10 10 9 8 8 7 8 9 10 10 11 13 13 12 11 10 10 10 9 8 8 8 8 9 9 9 10 11 11 10 10 9 9 8 9 9 9 9 10 10 10 10 9 9 8 8 8 7 7 6 6 5 5 5 6 6 7 8 8 8 9 9 10 11 12 13 14 14 15 15 15 13 12 10 9 9 9 9 9 10 10 11 12 13 14 14 13 11 10 10 9 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 5 5 5 6 6 7 7 8 8 9 9 10 11 12 13 14 15 15 16 15 14 13 12 11 11 10 9 9 8 7 8 9 11 12 12 12 10 9 8 8 8 8 8 9 9 8 7 6 6 6 7 8 8 8 9 9 nan
nan 10 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 5 5 5 6 6 7 7 8 8 9 9 10 11 12 13 14 15 15 16 15 15 14 13 13 13 13 12 11 9 8 6 5 7 9 10 10 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 nan
nan 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 11 11 10 10 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 7 6 6 5 5 6 6 7 7 7 8 8 9 9 10 12 12 13 14 15 15 16 16 15 14 14 13 13 13 12 11 11 10 8 6 6 6 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 8 7 7 8 8 8 8 8 7 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 11 11 10 10 10 10 11 11 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 6 5 5 5 6 7 7 8 8 8 8 9 9 10 12 13 14 15 15 16 16 16 15 15 14 13 13 12 11 10 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 nan
nan 9 9 9 9 10 10 10 9 9 9 10 9 9 9 9 8 8 7 6 6 5 5 6 7 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 5 5 6 6 7 7 8 8 8 9 9 10 11 12 14 15 16 16 16 16 15 14 13 12 11 11 11 10 9 8 8 9 9 8 8 9 9 9 9 8 8 8 8 8 8 9 8 8 7 8 8 8 7 7 8 8 8 8 8 8 8 nan
nan 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 6 6 5 5 5 7 8 8 8 8 7 7 8 8 8 9 9 10 10 9 9 9 9 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 6 5 6 6 6 7 8 8 9 9 9 9 10 12 13 14 16 16 16 16 14 13 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 nan
nan 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 7 7 7 6 6 7 8 9 9 9 8 8 8 8 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 7 7 8 9 9 10 10 10 11 12 14 16 17 17 16 14 12 9 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 10 10 10 nan
nan 11 11 12 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 6 6 6 6 6 6 6 7 7 7 8 9 10 11 11 12 12 13 15 16 17 17 15 13 10 7 6 6 6 7 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 7 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 9 10 11 12 13 14 15 16 17 17 16 14 11 8 6 6 7 8 8 8 8 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 9 9 9 9 9 10 10 11 nan
nan 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 9 9 9 10 11 12 13 14 15 16 17 17 18 16 13 10 8 6 6 7 9 9 9 9 8 9 9 9 9 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 nan
nan 10 10 10 10 9 9 10 10 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 6 6 6 6 7 8 9 9 10 10 11 12 13 14 15 16 17 18 18 18 16 13 10 8 7 7 8 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 10 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 9 11 11 11 13 15 16 17 18 18 19 19 18 16 13 10 8 7 7 8 9 9 8 7 7 7 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 9 10 12 12 13 15 17 19 20 20 19 19 17 15 12 9 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 10 10 nan
nan 9 9 9 8 7 7 7 7 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 7 8 8 8 8 8 8 10 12 13 14 16 17 19 20 20 19 18 16 14 11 9 7 6 6 7 7 7 6 6 5 5 6 7 7 7 7 8 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 8 9 9 8 8 8 8 8 8 8 8 9 10 10 nan
nan 8 8 8 8 7 7 7 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 13 14 15 17 18 19 19 19 18 17 15 13 12 10 8 7 6 6 7 7 6 6 5 5 6 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 nan
nan 8 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 13 13 13 13 14 16 17 17 18 18 18 16 15 14 13 11 11 10 9 8 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 nan
nan 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 7 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 12 13 14 15 17 17 16 16 17 17 16 15 15 13 12 11 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 nan
nan 7 7 6 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 10 11 11 11 11 11 12 12 13 14 14 15 15 15 15 16 17 18 18 17 16 15 14 13 12 10 10 9 9 10 10 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 nan
nan 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 10 10 10 9 9 8 8 8 8 9 9 9 10 10 11 11 12 12 13 15 15 16 16 16 16 16 16 15 13 12 11 10 9 9 8 9 10 10 11 11 10 9 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 8 9 9 10 9 9 9 8 8 7 7 7 7 8 8 8 9 10 10 10 10 10 12 13 14 14 14 14 13 13 12 12 11 10 10 9 8 8 8 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 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 10 10 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 8 8 9 9 10 11 12 12 12 12 12 11 9 8 7 7 8 8 8 8 7 8 7 7 7 7 7 7 8 8 9 9 10 10 10 10 11 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 8 7 7 7 8 8 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 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 11 nan
nan 6 6 6 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 9 10 11 12 13 13 13 12 11 10 8 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 11 11 12 12 12 11 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 nan
nan 7 7 6 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 12 12 11 10 9 8 7 6 6 7 8 8 8 8 8 7 8 8 8 8 8 8 9 10 10 11 12 12 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 8 7 7 8 8 9 9 8 8 8 9 9 8 8 7 6 6 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2414 2396 2375 2342 2297 2245 2194 2156 2131 2103 2063 2023 1993 1979 1981 2001 2005 1998 1975 1934 1888 1850 1821 1788 1715 1622 1540 1485 1471 1485 1506 1533 1606 1673 1639 1639 1669 1692 1706 1742 1816 1887 1902 1876 1867 1879 1905 1949 2002 2061 2100 2142 2187 2210 2204 2177 2138 2104 2135 2164 2182 2311 2422 2436 2468 2449 2368 2297 2243 2206 2219 2271 2310 2332 2249 2066 1941 1895 1865 1870 1974 2176 2208 2071 1984 1947 1915 1841 1699 1490 1249 1048 876 691 517 386 300 235 185 143 111 100 91 73 46 17 8 10 9 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
2413 2384 2357 2328 2289 2243 2208 2188 2158 2131 2094 2049 2028 2041 2054 2024 2002 2006 1991 1950 1910 1881 1855 1831 1755 1646 1554 1489 1459 1465 1500 1565 1638 1728 1689 1675 1682 1692 1706 1735 1792 1884 1936 1914 1892 1885 1896 1939 1992 2044 2086 2119 2149 2163 2151 2121 2093 2036 2093 2110 2138 2236 2354 2422 2444 2408 2384 2370 2307 2236 2217 2250 2280 2298 2231 1989 1758 1686 1759 1919 2118 2241 2225 2140 2065 1913 1693 1438 1169 907 708 589 479 371 278 208 157 114 88 60 36 25 20 13 6 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
2448 2398 2346 2310 2281 2254 2234 2219 2184 2192 2169 2123 2103 2120 2137 2125 2084 2022 2002 1968 1939 1923 1902 1866 1777 1667 1573 1509 1478 1484 1528 1594 1639 1727 1718 1713 1711 1712 1720 1739 1795 1894 1901 1898 1885 1878 1894 1936 1991 2038 2070 2089 2099 2103 2100 2083 2029 1877 2008 2043 2075 2162 2277 2364 2397 2373 2390 2362 2314 2259 2221 2209 2211 2249 2193 2002 1852 1796 1872 2045 2171 2219 2162 2056 1870 1563 1230 944 702 509 393 318 250 187 134 92 60 37 28 17 8 3 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 0 0 0 0 0 0 0
2474 2411 2349 2303 2284 2279 2270 2248 2218 2230 2225 2206 2192 2193 2199 2192 2149 2046 2014 1982 1956 1940 1916 1879 1804 1700 1605 1539 1503 1518 1568 1593 1657 1724 1746 1755 1753 1747 1746 1760 1792 1851 1874 1886 1881 1878 1895 1933 1973 1997 2017 2041 2059 2068 2071 2063 2002 1902 1952 1988 2018 2071 2149 2237 2333 2366 2389 2315 2266 2245 2211 2153 2145 2325 2217 2030 1947 1926 1974 2084 2085 1966 1777 1534 1245 961 728 548 380 265 204 164 128 91 57 29 14 7 4 2 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
2480 2417 2373 2325 2306 2310 2298 2266 2239 2239 2248 2251 2251 2253 2257 2259 2220 2086 2029 1993 1971 1960 1944 1910 1843 1736 1636 1573 1554 1552 1563 1634 1687 1747 1783 1795 1792 1781 1776 1791 1817 1864 1882 1884 1878 1878 1894 1929 1963 1980 1988 2006 2030 2050 2054 2033 1972 1905 1901 1912 1933 1975 2046 2147 2248 2302 2337 2299 2268 2271 2256 2166 2065 2207 2183 2025 1922 1877 1866 1874 1787 1511 1227 958 733 540 382 266 171 115 87 71 56 37 17 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 0 0 0
2465 2411 2379 2344 2329 2328 2313 2284 2261 2262 2269 2273 2276 2281 2291 2306 2242 2132 2063 2019 1997 1988 1974 1936 1875 1770 1675 1615 1585 1580 1601 1654 1715 1779 1823 1839 1835 1826 1823 1833 1853 1893 1890 1877 1872 1879 1896 1920 1943 1936 1927 1957 1994 2017 2016 1989 1943 1902 1876 1856 1868 1904 1960 2047 2122 2184 2235 2257 2285 2329 2331 2214 2035 1999 1971 1898 1846 1820 1777 1642 1339 990 753 566 392 250 159 103 65 41 26 19 13 8 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 0 0 0 0
2461 2417 2385 2356 2340 2332 2317 2294 2280 2287 2298 2302 2303 2307 2313 2309 2252 2153 2087 2049 2031 2026 2014 1973 1917 1820 1733 1688 1670 1667 1681 1719 1776 1832 1869 1885 1885 1876 1870 1879 1886 1915 1903 1876 1869 1882 1896 1905 1914 1897 1896 1924 1956 1971 1964 1938 1910 1894 1887 1868 1863 1875 1898 1946 2010 2074 2131 2211 2294 2350 2338 2216 2077 1988 1911 1820 1716 1569 1361 1145 881 580 398 269 165 92 55 35 21 9 2 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 0 0 0 0 0 0 0
2450 2415 2385 2358 2340 2328 2317 2307 2307 2318 2327 2330 2333 2339 2344 2329 2268 2181 2120 2090 2073 2064 2055 2022 1970 1879 1802 1750 1723 1728 1767 1818 1852 1877 1896 1906 1898 1887 1890 1907 1915 1930 1922 1881 1863 1878 1892 1889 1880 1863 1867 1886 1901 1902 1890 1876 1869 1873 1892 1895 1890 1879 1863 1872 1931 1999 2072 2209 2302 2288 2216 2131 2062 1969 1816 1632 1434 1180 848 562 351 234 161 103 59 29 15 8 3 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 0 0 0 0 0 0 0 0
2443 2411 2382 2359 2341 2333 2329 2325 2331 2342 2349 2353 2357 2367 2371 2350 2291 2213 2158 2138 2124 2114 2098 2048 2001 1932 1868 1818 1791 1790 1810 1837 1867 1910 1949 1955 1942 1935 1944 1955 1935 1925 1927 1888 1869 1881 1882 1866 1844 1826 1823 1824 1820 1811 1802 1804 1807 1833 1872 1899 1906 1890 1855 1834 1880 1962 2054 2169 2201 2122 2037 2006 1989 1906 1698 1393 1069 758 450 249 150 98 62 35 15 4 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 0 0 0 0 0 0 0 0 0 0 0 0
2434 2405 2380 2364 2352 2349 2351 2350 2363 2369 2372 2375 2385 2398 2401 2376 2321 2253 2200 2182 2163 2142 2117 2079 2068 2011 1937 1889 1873 1877 1891 1920 1946 1989 2023 2022 2010 2017 2038 2030 1973 1945 1910 1874 1863 1867 1856 1828 1798 1778 1760 1742 1729 1722 1716 1731 1749 1790 1841 1883 1906 1906 1888 1846 1854 1918 1991 2049 2045 1985 1936 1910 1819 1607 1264 873 565 381 220 124 74 44 22 8 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0
2427 2404 2387 2376 2373 2376 2381 2388 2402 2400 2399 2407 2423 2438 2438 2411 2359 2306 2235 2219 2219 2198 2151 2112 2103 2066 1997 1956 1962 1988 2009 2033 2039 2069 2090 2092 2090 2094 2094 2056 1986 1898 1869 1854 1847 1841 1818 1778 1744 1722 1695 1668 1659 1662 1657 1677 1709 1748 1800 1855 1905 1937 1931 1861 1851 1896 1958 2004 2013 1980 1909 1794 1520 1151 806 531 331 195 112 67 33 12 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2425 2403 2396 2384 2389 2396 2408 2428 2440 2434 2432 2443 2459 2468 2461 2436 2393 2368 2288 2260 2257 2244 2208 2168 2143 2133 2086 2057 2059 2079 2101 2119 2134 2158 2162 2142 2120 2115 2102 2013 1962 1888 1875 1867 1846 1814 1771 1718 1687 1652 1651 1632 1618 1623 1616 1628 1658 1691 1751 1819 1889 1936 1914 1865 1881 1958 2053 2089 2055 1989 1868 1589 1161 762 465 276 162 90 53 27 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2421 2403 2404 2394 2401 2411 2429 2454 2463 2459 2466 2476 2489 2497 2497 2481 2430 2390 2329 2299 2290 2281 2263 2242 2233 2263 2230 2208 2208 2223 2246 2272 2284 2286 2278 2253 2211 2164 2114 2033 1985 1934 1903 1876 1839 1790 1738 1670 1644 1575 1585 1586 1575 1578 1571 1568 1604 1640 1703 1774 1852 1927 1936 1946 1944 2015 2156 2208 2110 1933 1639 1219 774 434 223 117 68 33 19 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2439 2423 2421 2413 2421 2435 2452 2469 2477 2482 2502 2512 2520 2531 2541 2536 2497 2420 2361 2338 2332 2330 2328 2326 2328 2362 2350 2345 2355 2374 2394 2408 2416 2412 2397 2364 2307 2241 2179 2109 2050 1969 1897 1848 1801 1749 1693 1592 1572 1527 1540 1559 1560 1554 1544 1544 1583 1609 1666 1750 1862 1985 2032 1988 1913 1968 2104 2122 1918 1581 1176 749 416 213 104 49 24 7 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2450 2445 2444 2442 2452 2467 2480 2492 2509 2527 2543 2550 2554 2564 2574 2569 2538 2458 2395 2379 2378 2381 2384 2392 2406 2435 2446 2454 2462 2473 2483 2487 2490 2488 2478 2435 2364 2288 2219 2149 2079 1992 1905 1834 1743 1632 1548 1448 1438 1454 1505 1523 1502 1483 1468 1499 1523 1549 1643 1793 1957 2084 2095 1943 1736 1703 1640 1428 1111 760 503 300 161 84 39 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2470 2473 2475 2479 2491 2504 2517 2533 2558 2580 2588 2591 2593 2594 2592 2578 2546 2486 2433 2421 2423 2427 2435 2449 2464 2498 2525 2531 2527 2524 2525 2523 2524 2537 2536 2490 2407 2312 2228 2156 2087 2003 1907 1765 1579 1391 1252 1179 1162 1199 1263 1252 1209 1234 1272 1374 1441 1540 1693 1859 1982 2009 1856 1554 1168 1026 897 674 454 265 166 104 57 25 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2513 2514 2520 2524 2534 2547 2566 2590 2615 2631 2638 2637 2631 2621 2610 2594 2560 2493 2460 2453 2454 2457 2463 2475 2494 2537 2569 2573 2565 2551 2538 2534 2543 2565 2565 2528 2453 2351 2244 2159 2082 1958 1800 1538 1267 1065 880 802 782 767 761 733 739 856 1006 1209 1397 1574 1698 1748 1728 1625 1297 950 600 447 372 276 176 99 65 34 17 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2564 2563 2571 2579 2589 2601 2628 2660 2684 2704 2706 2690 2666 2644 2624 2601 2557 2485 2471 2475 2489 2500 2508 2523 2547 2570 2595 2604 2603 2589 2568 2557 2562 2566 2554 2525 2469 2387 2292 2215 2094 1859 1568 1236 928 703 558 502 477 399 342 323 366 500 678 899 1119 1295 1389 1374 1253 1061 742 481 295 199 152 116 80 41 30 10 2 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 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
2626 2625 2635 2645 2658 2674 2707 2744 2769 2791 2784 2739 2690 2658 2631 2594 2541 2484 2482 2508 2541 2561 2570 2581 2592 2582 2600 2621 2632 2626 2611 2602 2591 2563 2531 2497 2462 2419 2357 2283 2064 1703 1260 845 549 400 363 367 360 263 209 192 193 246 339 468 620 793 919 902 722 534 339 199 126 89 67 48 32 9 3 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 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
2695 2702 2707 2710 2727 2746 2770 2790 2809 2837 2838 2770 2702 2668 2641 2595 2535 2489 2495 2538 2582 2608 2613 2607 2606 2586 2603 2627 2644 2639 2618 2605 2592 2563 2529 2494 2475 2451 2381 2255 1907 1433 938 552 339 284 314 312 284 227 185 154 125 112 128 166 231 323 417 432 317 208 126 76 49 35 23 12 7 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 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
2785 2793 2789 2785 2797 2807 2812 2813 2817 2831 2832 2766 2706 2680 2654 2602 2535 2492 2510 2561 2610 2637 2635 2617 2617 2617 2624 2635 2643 2629 2592 2559 2559 2538 2525 2513 2503 2465 2339 2063 1607 1095 648 359 237 229 277 260 211 166 132 101 71 49 44 48 60 76 103 122 99 65 39 22 11 5 3 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 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
2865 2863 2859 2865 2866 2861 2856 2851 2845 2833 2803 2741 2705 2684 2651 2595 2536 2514 2549 2599 2638 2664 2665 2645 2638 2644 2638 2636 2633 2615 2576 2533 2517 2462 2456 2470 2467 2376 2112 1655 1178 722 393 218 154 144 170 165 131 93 63 41 26 18 15 14 13 12 13 15 16 13 8 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 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 0 0 0 0
2929 2920 2922 2932 2925 2909 2892 2877 2858 2822 2768 2730 2710 2687 2646 2591 2543 2537 2581 2629 2669 2695 2698 2680 2669 2664 2653 2638 2621 2598 2565 2520 2469 2378 2356 2353 2305 2118 1714 1150 737 404 205 114 77 60 58 56 45 30 18 10 6 5 3 3 2 1 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0
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