Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 8 8 8 9 9 9 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 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 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 9 10 13 15 17 15 13 12 8 4 2 3 6 8 10 11 11 9 7 7 8 9 10 10 10 8 7 6 6 6 7 9 10 11 11 11 9 8 8 8 10 12 13 13 10 7 5 5 6 7 7 7 7 8 8 7 8 8 7 7 7 8 8 8 9 9 10 9 8 7 6 6 8 11 12 12 11 11 10 8 7 7 8 10 12 12 12 12 9 5 3 4 6 8 8 10 nan
nan 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 9 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 7 7 7 8 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 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 12 14 16 15 14 14 14 10 4 2 3 4 6 8 10 9 8 8 8 9 9 10 11 10 8 6 5 5 5 6 8 11 13 13 11 9 7 6 7 8 9 10 9 8 6 6 7 7 8 8 8 9 9 8 6 6 8 7 6 6 6 7 7 9 10 10 8 6 6 7 9 11 12 11 10 9 9 8 8 7 7 8 10 11 12 12 11 8 5 5 6 6 6 7 9 nan
nan 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 9 12 14 15 13 13 13 13 10 4 1 1 2 4 6 7 8 8 8 9 9 10 11 11 10 8 6 5 5 5 5 7 9 12 12 11 8 6 5 5 6 7 7 7 6 6 7 8 9 10 10 11 11 11 8 4 3 5 6 6 6 6 6 7 9 10 9 7 5 6 9 12 13 11 9 7 6 6 6 7 8 8 9 9 10 11 11 10 7 6 8 9 7 5 5 8 nan
nan 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 9 9 11 12 12 12 12 12 12 9 3 -1 -2 -1 1 4 6 7 8 9 9 10 10 11 12 11 9 7 6 6 5 5 6 7 10 11 10 8 5 4 4 4 5 5 5 6 6 8 10 11 12 12 11 11 10 8 4 1 2 6 7 6 5 5 6 8 9 8 6 6 9 12 13 11 9 7 6 5 5 6 7 9 10 10 8 8 8 9 8 7 7 9 10 8 6 5 7 nan
nan 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 9 9 10 10 9 8 9 10 11 10 8 5 2 -2 -4 -3 -0 2 5 7 9 10 10 10 11 12 12 11 10 9 8 8 7 7 7 8 9 10 10 7 5 4 4 3 3 3 4 5 7 9 11 13 14 12 10 8 8 7 6 4 5 6 6 5 4 3 5 7 8 8 7 10 13 13 12 9 8 7 6 5 5 6 8 10 11 10 7 6 6 7 7 7 8 9 9 7 5 5 6 nan
nan 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 9 10 11 10 8 7 7 9 9 7 5 4 3 1 -0 -0 1 2 4 6 9 10 10 11 11 12 11 11 10 10 10 11 11 11 11 11 11 11 11 9 7 5 3 2 2 2 3 5 8 10 12 14 14 11 7 5 6 7 9 9 9 7 5 3 2 2 3 5 6 7 9 13 15 12 10 8 8 8 7 6 5 6 8 10 11 9 6 4 4 6 7 9 9 9 8 6 5 4 6 nan
nan 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 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 8 8 8 8 8 8 8 8 9 9 10 10 11 10 9 7 8 8 7 5 4 6 7 6 5 4 3 3 4 6 8 10 10 10 11 11 10 10 10 10 11 12 13 14 14 14 13 13 12 11 9 7 5 3 2 1 3 5 8 11 13 15 14 10 6 4 6 8 10 11 10 7 3 1 1 1 3 5 7 8 12 15 14 10 8 8 8 9 8 6 5 5 6 8 9 8 4 1 2 6 9 12 12 11 9 6 4 4 7 nan
nan 8 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 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 7 7 7 7 7 7 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 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 8 8 6 5 5 8 9 9 8 6 4 4 5 7 8 9 9 9 9 9 10 10 9 9 10 11 13 14 14 14 13 13 13 12 12 11 9 6 4 3 4 6 9 12 15 16 14 10 7 6 8 10 11 11 9 6 3 1 2 3 6 8 9 10 12 13 11 9 7 7 7 8 8 8 7 5 4 4 7 7 3 -1 1 6 11 14 14 13 9 6 5 5 9 nan
nan 8 9 9 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 10 8 7 5 5 4 6 7 9 8 7 6 6 7 8 8 8 7 7 7 8 10 10 9 8 9 10 11 12 12 11 11 11 11 12 12 13 12 9 7 5 6 9 12 15 16 16 14 11 10 10 10 11 11 11 9 7 4 4 5 8 10 11 10 9 9 8 10 10 9 7 6 7 8 9 8 7 5 5 8 7 3 -1 -0 4 9 13 14 13 10 7 5 6 10 nan
nan 8 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 12 12 11 11 10 8 7 6 5 5 4 4 6 7 7 6 6 8 9 8 7 6 5 6 7 8 9 9 8 8 8 8 9 10 9 9 9 9 9 9 10 11 12 11 9 8 9 11 14 16 15 14 12 11 10 10 9 9 8 8 8 7 7 8 10 13 12 9 6 5 4 6 9 12 12 9 7 7 7 8 8 8 8 9 10 7 2 -2 -1 2 6 10 12 12 10 7 6 7 12 nan
nan 9 10 11 11 11 11 10 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 12 11 9 6 4 5 7 8 9 9 9 8 6 5 8 10 11 9 7 5 5 5 7 8 9 9 8 7 7 8 8 8 7 7 8 8 7 7 8 9 10 10 9 9 10 12 14 14 11 9 9 9 7 6 5 4 4 4 5 6 9 11 13 13 10 6 2 0 1 4 8 12 13 12 10 8 7 5 3 4 6 9 9 5 1 -2 -1 1 4 7 9 10 9 7 7 7 12 nan
nan 10 11 11 12 11 10 9 9 8 9 9 9 8 8 8 8 9 9 10 11 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 12 12 13 13 14 15 14 13 9 5 2 5 9 12 14 14 12 9 7 7 11 14 13 9 6 4 5 6 8 9 9 8 7 6 6 6 6 6 6 7 8 8 7 7 7 8 9 9 9 10 12 13 13 11 7 5 6 7 6 3 2 2 2 2 3 6 10 13 13 12 9 5 1 -0 1 3 6 8 10 14 15 12 8 3 0 -0 3 7 7 4 0 -0 1 3 4 5 6 7 8 8 7 8 12 nan
nan 11 11 12 11 11 10 9 8 8 8 9 9 9 8 8 8 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 13 14 14 13 9 6 4 6 10 11 12 11 10 9 9 12 15 15 12 7 4 4 6 8 10 11 10 9 7 5 5 5 5 6 6 8 8 8 8 8 8 9 9 9 10 12 14 15 14 11 7 3 4 8 8 6 4 4 4 4 5 8 11 12 11 10 9 7 4 3 4 5 5 5 6 11 16 16 10 4 0 -0 2 5 6 4 3 4 5 6 5 4 4 6 8 9 9 8 10 nan
nan 11 11 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 11 11 8 7 7 8 9 7 4 2 4 8 13 16 16 12 8 5 4 5 8 10 12 13 12 10 7 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 11 13 16 17 15 13 9 7 8 10 12 10 8 7 7 7 8 9 11 11 10 10 9 8 7 6 7 7 6 4 4 6 12 15 12 6 3 3 4 5 6 6 7 9 9 8 5 3 3 6 9 12 13 11 10 nan
nan 11 11 10 10 10 9 8 8 8 8 8 9 9 10 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 12 12 11 11 11 12 11 10 9 8 6 5 6 7 8 6 6 8 9 8 4 -0 -2 3 10 15 16 12 8 5 4 5 7 9 11 12 13 12 11 9 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 10 12 14 16 16 13 11 11 11 11 12 11 9 7 7 8 9 10 10 10 10 10 9 9 7 7 7 7 6 4 3 4 7 12 12 9 5 4 5 6 7 8 10 12 12 9 5 2 3 6 10 14 16 15 12 nan
nan 10 10 10 10 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 11 12 12 12 12 13 13 14 14 14 14 14 13 10 7 5 4 4 4 5 6 4 4 6 7 6 3 1 2 8 13 15 12 8 4 3 5 7 9 11 12 12 11 12 11 10 9 8 8 8 9 9 9 8 8 8 8 9 9 9 10 10 10 11 14 16 14 12 12 11 10 9 9 7 5 5 6 8 9 9 9 9 9 9 9 8 7 6 6 5 5 4 3 4 8 11 10 7 5 6 7 8 9 11 13 12 9 5 3 4 6 10 15 18 17 13 nan
nan 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 10 10 9 9 9 9 8 8 8 10 12 13 13 13 13 13 13 13 13 13 14 15 16 17 16 14 14 12 9 6 3 3 3 3 4 3 2 2 5 7 6 5 4 6 9 11 11 7 4 2 3 5 8 10 11 11 11 10 11 12 12 11 10 9 8 8 8 8 8 8 8 8 9 10 11 10 9 8 8 12 15 14 12 11 10 9 8 8 7 5 3 5 7 8 8 8 9 9 10 10 9 7 6 5 4 3 3 2 3 5 9 9 8 8 9 9 10 10 11 11 9 7 6 5 5 5 9 14 16 15 12 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 12 13 13 13 13 13 13 12 13 14 16 18 19 18 16 14 13 12 9 7 5 4 4 3 3 3 3 5 8 10 10 8 7 6 7 7 6 3 2 2 4 6 9 10 11 11 10 10 11 12 14 13 12 10 9 8 8 8 8 8 8 9 10 11 11 10 8 5 5 9 13 13 12 12 11 10 9 10 10 8 5 5 6 8 8 9 10 11 11 12 10 8 6 5 3 2 1 1 3 6 8 9 8 9 11 12 13 12 10 8 5 5 5 5 4 5 8 13 14 13 11 nan
nan 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 13 15 16 18 18 17 16 14 13 12 10 9 9 8 7 6 5 6 8 10 11 12 11 10 8 6 5 4 3 3 3 4 6 8 10 11 11 11 10 9 10 11 13 14 13 11 10 9 9 8 7 7 8 9 10 11 11 10 8 4 2 5 10 12 12 12 12 11 10 11 11 10 8 6 6 7 8 9 10 11 12 12 11 10 8 7 5 4 2 2 5 7 9 8 8 9 11 12 13 11 9 5 3 2 2 3 3 4 8 12 13 11 10 nan
nan 9 9 9 9 10 10 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 11 11 11 11 11 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 14 14 14 15 15 15 14 14 13 11 10 10 10 11 11 10 9 8 8 9 12 13 11 8 7 7 7 7 6 5 4 4 6 7 9 11 12 12 11 10 8 7 7 9 12 14 14 12 10 9 9 8 7 7 8 9 10 11 10 10 8 3 -0 3 8 12 13 13 13 11 10 10 10 10 8 6 6 6 6 7 8 9 10 11 11 10 9 9 9 9 6 5 7 9 9 8 7 7 8 9 9 9 6 3 0 -1 -0 1 3 6 9 12 12 10 10 nan
nan 9 9 9 10 11 11 10 10 9 10 10 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 12 14 17 20 22 22 22 20 19 18 17 17 17 15 14 13 13 12 10 8 7 6 6 7 9 9 8 7 6 8 10 11 12 9 5 3 4 5 8 9 8 8 8 9 11 13 15 14 12 9 7 5 4 5 7 11 13 13 11 9 8 8 7 7 8 9 10 11 11 10 9 6 1 -2 1 7 12 14 14 13 12 11 11 10 9 7 6 5 4 4 4 4 6 8 10 11 11 10 10 11 12 11 9 9 9 10 9 8 7 6 5 5 4 3 1 -1 -1 1 3 6 9 11 12 11 9 8 nan
nan 10 10 10 11 11 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 12 12 12 11 11 11 12 12 12 12 11 11 12 12 12 11 11 11 11 11 12 12 12 12 11 11 12 16 20 25 29 30 29 25 23 21 20 18 18 16 14 12 11 11 11 9 6 5 5 5 5 6 7 6 6 5 6 7 7 7 7 4 2 2 4 7 10 11 11 12 13 15 16 17 14 9 6 4 4 4 5 7 11 12 12 10 8 7 7 7 7 8 10 11 12 13 12 9 5 -0 -3 1 7 12 14 14 14 12 11 10 10 8 6 4 3 2 1 1 3 5 8 10 12 12 12 12 13 14 13 11 10 10 9 9 8 6 5 4 2 1 1 1 1 1 2 5 7 10 12 13 12 7 6 nan
nan 10 10 10 11 11 11 10 9 10 10 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 12 12 11 10 10 11 11 13 13 12 12 11 11 11 11 10 10 10 10 11 12 12 12 12 11 11 14 19 23 27 29 29 26 21 19 17 16 14 14 12 9 6 5 7 8 8 6 5 6 6 5 5 6 7 7 7 6 5 3 2 3 3 2 2 4 6 9 11 13 14 15 16 15 14 10 6 4 3 4 5 6 8 11 13 12 9 6 6 7 8 9 9 10 11 12 14 15 12 6 1 0 3 8 12 14 15 14 12 10 8 7 5 3 1 0 1 2 3 6 8 11 13 15 16 16 16 17 17 15 12 10 9 8 8 7 6 5 3 2 1 2 3 3 3 4 5 7 9 13 15 13 6 2 nan
nan 10 10 10 11 11 11 11 10 10 11 11 11 11 10 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 11 10 9 9 10 11 12 13 13 13 11 10 10 9 9 9 9 10 11 11 12 12 11 11 12 15 19 21 21 22 21 19 16 13 11 10 9 8 7 5 2 0 2 4 6 7 6 6 7 6 6 6 7 9 9 8 6 3 2 2 2 2 3 4 6 7 10 12 14 14 12 10 8 5 3 3 5 6 8 9 11 14 15 12 8 5 5 7 9 10 10 9 9 10 11 13 11 7 3 3 5 9 13 16 17 15 12 7 4 2 0 -1 -1 -0 2 5 8 10 12 15 17 18 18 18 19 19 18 15 12 9 8 7 7 7 6 5 4 3 3 4 5 5 5 4 4 5 9 13 16 14 6 -0 nan
nan 10 10 11 11 12 11 11 11 10 11 11 11 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 10 11 12 14 14 13 11 9 8 7 7 8 8 9 10 11 11 11 11 12 14 16 16 15 15 15 15 14 12 9 7 7 7 6 4 3 2 2 2 4 5 6 6 7 9 9 7 6 6 8 9 9 8 6 4 2 1 2 4 5 6 7 10 12 13 10 7 5 4 3 3 4 7 9 12 14 17 17 16 12 7 5 5 8 10 11 11 10 8 7 5 5 6 5 4 4 5 9 14 17 17 14 9 4 1 -1 -1 -1 -0 2 4 7 10 12 14 17 19 19 17 16 16 16 15 13 11 9 8 7 7 6 6 5 4 4 5 6 6 6 5 4 3 4 7 13 16 15 9 2 nan
nan 10 11 12 12 12 11 11 10 10 10 10 11 11 11 10 10 10 11 11 11 10 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 10 10 11 12 13 13 11 9 7 6 5 5 7 8 9 11 11 11 11 12 14 15 15 14 13 12 12 13 12 9 6 5 6 6 6 5 6 8 10 8 6 6 7 8 10 12 12 10 7 7 9 11 11 10 7 5 3 3 4 6 7 9 11 12 13 11 7 4 3 4 5 5 7 9 12 16 20 22 21 16 10 6 4 5 9 12 13 12 11 8 4 -0 -2 1 5 6 6 6 9 14 16 14 10 5 1 -2 -1 1 3 3 4 6 8 10 12 14 16 17 16 14 12 11 11 12 11 11 9 8 7 6 5 4 4 4 4 6 8 8 7 6 4 3 3 6 12 16 16 12 7 nan
nan 11 11 11 11 10 10 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 10 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 8 8 9 9 9 9 9 10 10 10 11 11 10 10 11 10 9 8 6 4 3 3 5 6 8 9 11 12 12 13 14 14 15 14 13 12 12 12 11 10 7 5 4 5 5 4 5 10 15 18 15 10 8 10 12 14 15 15 13 12 12 13 14 14 13 10 9 8 8 9 10 11 13 15 16 14 10 6 4 4 5 6 7 7 9 13 18 23 24 22 16 10 6 4 6 10 14 16 14 12 8 2 -2 -3 3 11 13 11 9 10 12 13 11 7 2 -2 -3 0 5 7 7 7 8 10 12 13 14 14 14 13 12 10 9 8 9 9 10 10 9 8 6 4 3 3 3 5 8 10 11 11 10 8 6 5 7 12 15 16 14 10 nan
nan 11 11 10 10 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 7 6 4 2 1 2 3 5 7 8 9 10 12 14 15 15 14 14 14 12 11 11 11 10 8 6 5 4 4 4 2 5 13 20 21 17 10 8 10 12 13 15 16 17 18 18 18 17 17 15 13 12 12 12 12 13 14 16 18 17 15 11 7 5 5 5 5 5 5 7 11 17 22 23 21 17 12 8 6 8 12 16 17 16 12 8 3 1 4 11 17 19 16 12 10 9 8 6 3 -1 -3 -1 3 8 10 9 10 11 13 14 14 13 12 11 10 10 9 8 8 7 8 10 10 10 8 5 3 3 2 2 5 8 13 16 15 13 11 9 7 9 13 16 15 12 9 nan
nan 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 10 10 10 9 9 9 8 8 7 6 6 5 5 5 5 5 5 6 6 7 8 8 8 8 7 7 7 7 8 8 8 8 7 6 5 4 3 2 1 0 -0 1 4 6 7 7 9 10 13 15 16 15 15 14 13 12 11 10 9 8 7 6 4 4 5 5 5 7 13 18 18 13 9 8 8 8 8 11 15 18 19 19 18 16 15 14 12 10 10 10 11 12 13 15 17 18 15 11 8 6 6 4 3 2 2 4 9 15 20 21 20 17 14 11 8 9 12 15 16 14 11 9 6 7 12 17 20 21 18 13 8 5 4 2 -1 -2 -0 3 7 9 11 12 13 15 15 14 13 11 10 9 8 8 8 8 8 8 8 9 10 10 8 5 3 2 2 2 4 7 12 16 15 12 8 7 7 8 12 16 16 13 10 nan
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nan 6 6 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 12 12 14 21 28 32 33 28 19 12 8 7 8 10 13 16 17 15 13 11 11 12 13 14 14 13 12 10 10 10 13 17 20 19 16 12 9 8 7 7 7 7 9 9 8 8 8 8 9 10 10 9 8 7 6 5 4 3 2 1 -1 -2 0 3 7 10 14 16 17 17 17 16 14 11 8 7 7 8 9 9 9 8 7 7 7 6 7 8 9 10 11 15 18 18 16 14 12 11 9 7 5 4 5 6 7 8 7 6 7 7 8 8 8 8 10 12 12 11 10 10 10 11 12 13 14 13 13 12 11 8 4 3 4 6 8 10 11 10 8 7 8 9 11 14 16 17 16 13 11 11 10 10 8 6 5 5 7 9 12 15 16 17 16 nan
nan 6 6 7 8 9 10 10 9 8 7 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 10 10 11 11 11 12 12 14 19 26 31 31 27 19 10 7 7 8 10 13 16 18 15 12 11 11 12 13 13 13 13 13 11 11 11 13 14 13 11 8 7 6 5 5 5 5 5 6 7 8 8 9 10 11 11 12 11 11 10 8 7 7 6 4 2 -1 -2 0 4 7 9 12 12 12 12 14 17 17 15 12 8 7 8 9 9 9 8 8 8 7 7 8 8 9 9 11 15 18 15 12 12 12 13 12 9 7 7 7 7 6 6 5 4 4 5 6 7 6 7 8 11 12 12 12 13 14 13 11 9 9 8 8 8 8 6 4 5 6 8 9 11 12 12 11 10 11 11 12 14 16 16 15 13 12 12 11 9 6 4 2 3 6 11 16 19 20 18 16 nan
nan 6 6 7 8 9 9 10 9 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 11 11 12 12 14 18 25 31 32 27 20 10 6 7 9 12 15 18 19 17 13 12 12 12 13 13 12 11 10 9 9 10 12 11 8 5 2 2 3 4 6 7 6 6 7 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 7 4 3 4 5 6 8 9 9 7 7 10 14 17 18 15 11 8 7 8 9 9 8 8 7 7 7 7 8 8 8 10 13 15 15 13 14 15 16 13 8 8 8 8 7 6 4 4 4 4 5 7 8 7 7 8 11 13 13 14 14 15 12 8 6 6 6 6 6 6 4 4 4 6 8 11 14 16 16 15 13 12 13 14 15 16 15 14 14 14 15 13 10 6 4 3 4 8 13 19 22 21 19 16 nan
nan 7 7 7 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 18 25 32 35 32 23 13 7 7 9 12 16 19 20 19 16 13 13 13 13 12 11 9 7 6 7 9 11 12 9 5 1 0 1 5 9 12 11 11 12 13 14 13 10 8 7 8 8 8 9 10 11 11 11 11 12 11 10 9 8 6 6 6 7 7 5 4 6 10 14 17 17 14 11 9 8 8 8 8 8 7 7 7 8 8 9 9 10 13 16 17 17 15 14 12 9 7 9 10 10 9 6 4 5 7 8 8 8 8 8 8 8 10 11 12 13 13 13 10 7 7 7 7 7 7 6 5 4 4 4 6 10 15 19 20 19 16 15 15 16 16 15 13 13 14 15 15 12 8 4 3 4 6 9 14 20 23 21 18 15 nan
nan 7 7 8 8 8 9 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 10 11 11 12 12 13 17 25 32 37 35 26 16 9 6 8 11 15 18 20 20 18 15 14 13 13 12 11 9 7 6 7 8 11 13 12 8 4 2 2 6 12 15 15 15 16 17 18 15 11 9 8 8 8 8 8 8 9 9 9 9 10 12 13 13 11 9 8 7 8 8 8 6 5 6 9 13 16 17 15 11 9 8 8 8 8 8 8 9 9 10 10 11 11 13 15 16 14 10 7 5 6 9 11 12 11 9 7 7 9 12 12 11 9 6 5 5 6 7 9 10 11 11 10 9 9 9 8 8 8 9 10 10 8 6 5 5 7 12 16 18 19 19 18 19 18 18 15 13 13 13 12 10 6 2 1 2 4 6 10 14 20 22 20 17 14 nan
nan 8 8 8 8 8 9 9 8 8 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 13 16 24 31 36 36 27 16 9 6 6 9 12 16 19 20 18 16 14 13 12 12 11 10 9 8 7 8 11 14 14 12 8 5 5 7 11 14 13 13 14 17 17 15 12 11 12 12 12 10 9 8 7 6 6 6 7 10 12 14 14 14 11 10 9 9 9 9 7 6 7 10 14 16 15 13 10 8 8 8 8 8 9 9 10 11 11 12 12 12 12 10 8 6 4 6 9 13 13 11 9 7 9 12 14 15 14 12 8 4 1 1 3 5 6 8 9 9 8 8 9 9 9 10 11 15 17 16 13 9 7 6 7 9 11 14 17 19 20 21 20 19 18 16 14 11 7 3 -0 -1 -0 3 5 8 12 16 21 22 18 15 12 nan
nan 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 11 11 12 14 16 22 30 34 34 28 16 7 4 4 6 9 12 15 17 17 16 14 12 11 11 11 11 10 9 8 8 10 13 14 13 12 9 8 9 10 10 8 8 9 11 12 10 9 9 12 14 14 13 11 9 7 6 5 5 6 8 11 14 15 15 13 10 7 6 6 8 9 9 9 9 11 13 12 11 9 8 8 9 9 9 9 10 10 11 11 12 11 11 10 9 8 8 10 12 13 13 11 9 7 8 11 15 15 14 12 9 7 4 1 1 3 5 6 7 7 6 6 7 8 8 9 11 14 18 20 17 14 10 7 6 7 8 10 14 17 19 20 19 18 18 18 17 14 7 1 -3 -4 -1 2 6 9 11 14 18 21 20 17 14 12 nan
nan 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 9 9 8 8 8 9 10 10 11 12 13 16 20 28 34 33 28 16 7 4 5 6 8 11 13 15 16 16 15 13 12 11 11 10 10 9 8 8 10 12 14 13 12 11 10 10 10 8 6 5 5 6 6 5 5 5 8 10 11 11 11 9 8 7 7 7 8 10 12 13 13 12 10 6 3 1 2 4 7 9 10 9 9 10 10 9 8 7 7 8 8 9 9 10 11 11 11 11 10 10 9 10 11 14 17 17 14 11 9 9 10 12 16 16 14 11 9 8 7 4 3 5 7 10 10 8 5 4 5 7 9 9 9 9 10 13 16 14 11 7 4 3 5 9 14 18 20 20 18 15 13 14 14 12 8 1 -5 -7 -4 2 6 9 11 13 14 17 18 17 15 14 13 nan
nan 8 7 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 11 12 13 16 20 26 32 33 27 17 10 7 7 9 10 12 14 16 17 17 17 16 14 12 10 9 8 7 8 8 10 12 13 13 13 12 11 10 10 9 7 6 6 6 7 6 5 5 5 6 6 7 8 8 7 8 9 11 13 14 14 12 10 8 5 2 1 0 2 3 5 7 7 7 7 8 8 7 6 6 6 7 8 9 10 11 11 12 11 10 10 10 11 12 14 17 19 17 13 9 8 9 12 16 18 17 14 11 10 9 9 7 6 9 12 15 13 9 4 4 7 9 10 10 9 6 5 5 7 8 7 5 3 1 4 9 16 21 22 20 16 10 8 8 8 6 2 -4 -8 -7 -1 5 9 12 13 12 12 13 13 13 13 13 13 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 15 20 26 31 34 29 20 13 9 9 10 11 12 15 16 17 18 18 18 17 14 11 8 7 6 7 8 9 11 13 13 13 13 12 11 10 8 7 7 8 9 11 10 8 6 6 5 5 5 5 5 6 8 11 15 18 18 15 11 7 4 2 1 2 4 5 6 7 6 6 5 5 6 7 7 7 7 7 8 9 10 11 11 12 12 12 11 11 12 13 14 15 17 16 12 9 7 7 9 11 14 17 18 17 13 11 11 11 10 10 12 13 13 10 5 3 5 9 12 12 12 9 5 2 1 2 5 6 7 7 5 5 8 12 16 19 18 13 7 3 4 4 3 1 -4 -5 -2 3 8 12 13 13 11 10 10 10 10 11 12 12 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 14 18 25 32 36 33 22 14 9 8 8 9 10 12 14 16 18 19 20 20 18 14 11 9 8 8 9 10 11 12 13 14 13 12 11 9 7 6 6 7 10 13 12 10 8 8 7 7 5 4 5 7 9 13 16 19 18 13 8 4 3 4 5 7 8 9 9 10 9 7 5 6 7 8 8 9 10 11 11 12 12 12 12 13 13 12 12 12 13 14 14 15 15 13 11 9 9 9 9 9 10 14 17 19 17 14 13 12 13 12 11 9 7 3 1 2 6 10 13 15 14 11 6 2 2 3 7 10 12 12 11 8 8 10 12 15 15 11 5 2 2 4 4 3 0 1 5 8 11 13 14 13 11 9 9 9 9 9 9 10 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 9 10 11 12 12 14 17 24 32 36 35 24 13 8 7 6 7 9 10 12 15 17 19 21 22 21 18 16 14 13 13 13 12 12 13 14 15 15 13 11 9 8 6 6 6 8 10 11 10 10 10 11 10 7 6 7 8 10 12 14 14 13 9 5 4 5 10 15 16 14 11 10 10 9 9 7 7 8 9 10 11 11 12 12 12 12 13 13 13 12 11 10 10 11 11 12 12 11 11 12 14 14 11 8 6 7 10 14 17 19 17 13 10 9 9 7 6 4 3 2 3 6 9 14 17 17 13 7 3 3 5 9 12 14 15 14 12 11 11 12 14 14 10 6 4 4 6 6 5 4 6 10 13 15 15 14 12 11 10 9 9 8 7 8 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 12 14 17 23 31 36 34 24 13 8 6 6 7 9 11 13 15 17 18 19 19 19 19 18 17 16 15 14 14 14 15 17 18 18 16 13 12 11 11 10 10 10 9 9 9 10 11 12 13 12 10 9 9 10 11 12 10 8 5 3 4 9 15 21 21 17 13 10 9 9 10 11 10 10 9 9 9 10 10 10 10 11 11 11 11 10 9 9 8 8 8 8 8 8 10 14 16 17 13 7 5 5 7 10 13 15 15 10 5 2 3 6 8 8 7 5 4 7 10 14 18 18 13 6 2 2 4 6 8 11 14 15 14 13 12 12 13 13 10 7 6 6 8 8 8 7 9 13 15 15 15 14 12 12 11 10 9 8 8 8 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
23 22 27 31 34 35 34 33 32 33 37 41 43 42 37 26 16 13 13 16 19 20 14 10 10 10 10 10 10 8 8 9 9 8 11 15 16 14 15 20 25 28 27 25 30 29 28 29 32 32 30 26 21 21 23 22 20 20 16 14 18 20 20 17 16 17 19 23 27 30 29 29 29 28 27 23 16 10 8 7 7 6 6 6 6 6 5 5 5 4 4 4 3 3 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 23 130 335 466 447 338 206 96 29 3 0 2 52 562 658 896 931 706 464 286 153 97 83 77 81 108 152 194 211 166 117 113 178 266 322 363 443 357 190 65 20 24 36 59 88 87 71 78 90 95 103 138 212 258 305 386 513 588 558 541 700 769 593 407 303 268 250 226 218 154 92 66 47 36 43 73 127 200 263 262 199 88 14 1 3 8 32 30
24 25 30 34 29 26 28 29 28 30 39 45 48 44 35 24 15 13 15 17 19 18 12 9 10 10 9 8 8 8 9 9 10 11 11 12 12 12 13 18 24 26 25 22 23 20 22 24 23 22 22 21 19 19 23 21 21 18 12 13 18 19 20 20 21 24 28 30 34 37 38 36 35 34 32 28 22 17 13 10 8 6 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 72 237 433 528 463 290 127 37 5 0 0 0 0 1 66 385 519 428 264 129 62 49 51 54 62 73 86 98 106 84 65 83 173 267 321 353 368 258 113 38 18 16 16 24 48 63 23 4 18 58 88 104 119 122 133 199 328 453 526 566 619 590 432 297 247 232 203 153 94 24 25 29 26 31 53 94 149 211 265 261 199 102 31 5 1 1 6 2
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33 38 40 39 38 37 37 35 31 34 41 47 49 35 31 29 23 19 21 22 24 17 11 8 8 7 8 7 8 9 10 11 11 11 10 9 9 11 13 14 16 18 19 25 23 21 21 22 18 20 22 21 20 20 20 17 19 19 19 19 19 21 23 27 31 36 38 39 39 42 49 43 41 39 34 29 24 21 17 12 7 6 5 5 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 9 305 521 573 482 305 127 25 0 0 0 0 0 0 0 9 94 128 98 60 41 37 40 45 47 44 44 47 52 56 59 63 65 75 115 142 139 113 84 69 71 66 38 11 0 0 4 16 20 5 3 7 7 3 4 20 53 132 255 343 336 253 166 137 117 93 41 10 1 0 3 10 14 8 4 7 17 40 88 164 233 252 187 106 53 21 7 3 3
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