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 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 8 8 8 8 9 9 9 9 11 14 16 17 16 15 13 9 6 4 4 5 5 7 9 11 10 8 7 7 7 7 7 7 9 10 10 9 7 5 5 7 8 10 10 8 7 6 6 7 8 9 10 9 8 7 7 7 7 7 7 7 7 7 9 12 11 9 7 7 7 7 7 8 9 11 12 11 9 7 6 9 11 11 10 8 7 5 3 3 5 7 8 9 10 10 9 6 5 5 7 10 11 9 5 nan
nan 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 7 7 8 8 8 8 9 9 9 10 13 16 17 16 15 14 13 9 5 4 3 3 3 4 6 8 8 8 8 8 8 8 8 9 9 10 9 7 5 4 5 7 9 9 9 7 6 5 5 5 7 8 8 8 8 7 7 7 7 7 8 8 8 7 6 8 10 9 8 7 6 6 6 7 8 9 9 8 7 8 9 12 12 10 8 6 5 4 3 4 5 7 8 9 9 9 8 7 6 7 8 7 4 1 -2 nan
nan 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 9 10 13 16 16 15 14 15 13 8 4 2 2 3 4 4 4 5 6 7 8 9 9 9 9 9 10 9 8 6 5 4 5 7 9 9 8 7 5 4 4 4 5 7 8 8 8 7 7 6 7 8 9 9 9 6 4 4 7 8 8 7 6 5 5 6 7 7 6 6 8 10 12 12 10 8 6 4 3 3 4 6 7 8 8 8 8 8 8 7 8 10 11 9 4 -1 -5 nan
nan 10 10 10 10 10 9 9 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 10 11 12 12 12 13 14 14 12 7 2 -0 0 3 4 5 5 5 6 8 9 10 10 10 10 10 9 8 7 6 5 5 6 8 9 10 9 7 6 4 4 4 4 5 7 8 9 9 8 8 8 9 10 10 9 7 4 2 5 7 7 6 5 5 5 5 6 5 5 8 11 14 13 10 8 7 6 4 3 3 5 7 9 8 7 6 6 8 8 8 8 11 13 11 7 2 -3 nan
nan 10 10 11 10 10 9 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 11 11 11 9 9 12 13 12 9 4 1 -2 -2 0 3 5 6 6 7 8 9 10 11 12 12 11 9 8 8 7 7 7 8 9 10 11 10 8 6 5 4 3 3 4 6 8 10 12 12 12 11 11 10 9 8 7 6 5 6 7 6 6 5 5 5 4 4 4 6 10 14 13 10 8 8 8 7 5 3 4 5 8 10 8 5 3 4 7 9 9 10 12 12 10 7 4 1 nan
nan 11 11 11 10 9 8 8 8 9 10 10 10 10 9 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 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 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 8 7 6 6 7 7 8 9 9 9 9 10 11 12 12 11 9 9 11 12 8 5 3 2 1 -1 0 3 5 6 7 7 8 9 11 13 13 13 12 10 9 9 10 10 11 11 12 13 13 11 9 7 5 4 3 2 3 4 7 10 13 15 15 14 12 9 8 8 9 10 10 10 7 5 5 5 5 5 4 3 3 7 12 13 11 8 7 8 9 9 7 4 4 6 9 10 8 4 1 2 6 10 13 14 14 12 9 7 6 6 nan
nan 11 12 11 10 9 9 9 9 10 10 10 10 9 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 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 8 8 7 6 6 7 8 9 9 10 10 10 10 11 13 13 11 10 10 10 8 5 4 6 6 6 4 3 4 5 6 6 6 8 10 11 13 13 12 11 11 10 10 11 12 12 13 13 14 14 13 11 9 7 5 3 2 2 3 6 10 14 16 17 14 11 8 8 10 11 12 12 10 8 5 5 6 6 5 4 4 5 9 12 11 8 7 7 8 9 9 8 5 4 4 7 8 7 2 -1 1 6 12 16 18 18 14 10 8 8 11 nan
nan 11 12 11 10 10 9 10 10 10 10 10 9 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 8 7 7 7 7 7 7 7 7 8 8 7 7 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 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 11 11 12 13 12 11 11 11 9 6 4 4 7 9 9 8 7 6 6 6 6 7 9 10 11 11 11 11 11 11 10 10 9 10 11 11 12 12 13 13 12 11 10 7 5 4 3 4 7 11 15 17 17 13 10 8 9 10 11 10 10 9 7 6 6 7 6 6 6 7 8 9 10 9 8 8 7 7 8 9 9 7 4 2 3 5 5 1 -2 0 6 13 18 21 20 16 11 10 12 17 nan
nan 11 11 11 11 10 10 10 10 10 10 9 9 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 9 10 10 11 12 12 12 12 12 12 11 10 8 5 3 3 4 7 9 10 9 7 7 7 7 8 10 10 10 8 8 10 11 11 10 8 7 8 8 9 9 9 10 12 12 12 12 11 9 7 6 7 9 13 17 18 16 12 10 10 10 10 9 8 8 8 9 8 8 7 6 5 6 7 7 7 7 9 10 9 6 5 6 8 10 10 7 5 4 5 4 -0 -3 0 6 13 18 21 21 17 13 11 13 19 nan
nan 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 10 10 10 11 12 12 13 13 12 12 11 10 9 6 4 3 3 3 6 8 9 9 8 8 8 9 10 10 8 7 6 7 9 11 10 9 8 7 6 7 8 8 9 10 11 12 12 13 13 12 10 9 10 12 14 16 16 13 10 9 10 10 8 6 5 6 7 10 11 11 9 6 5 5 5 4 4 5 9 12 11 7 5 5 7 8 9 10 10 10 8 4 -1 -3 -0 6 13 18 21 20 17 12 9 12 18 nan
nan 11 11 11 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 11 11 11 11 12 12 13 13 13 13 12 10 8 5 5 6 7 8 9 9 9 9 9 10 11 11 11 9 7 5 4 4 7 9 10 10 8 7 6 5 6 7 8 9 10 10 11 12 13 13 12 11 11 11 12 13 13 11 9 9 9 9 8 6 4 3 3 5 9 11 12 10 7 5 4 2 0 1 3 8 12 13 11 8 6 5 5 4 6 9 11 9 4 -1 -3 -0 5 12 19 21 20 16 10 7 9 16 nan
nan 11 12 12 11 11 10 9 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 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 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 13 13 14 13 10 6 4 5 9 12 14 15 14 12 12 14 16 16 14 10 6 3 2 2 4 7 9 10 9 8 6 5 4 4 6 8 9 9 8 9 11 12 13 12 11 11 11 12 12 11 8 6 7 9 9 8 6 4 3 3 4 7 11 12 10 8 6 4 2 -0 1 4 7 9 11 13 13 9 6 3 1 1 5 10 9 4 -1 -2 -1 3 9 17 21 21 16 11 7 8 16 nan
nan 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 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 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 10 6 5 8 11 12 12 12 11 12 15 18 19 17 12 7 3 1 2 3 6 8 10 10 10 8 6 5 4 5 7 9 9 8 7 8 10 12 12 12 12 12 13 13 13 12 9 7 7 9 11 9 7 6 5 5 5 8 11 12 10 8 7 6 4 3 5 6 6 6 7 12 16 15 10 4 0 0 4 9 9 5 1 -2 -2 -0 5 13 20 20 17 12 8 9 17 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 9 9 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 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 11 10 8 7 8 10 9 7 3 2 6 11 16 18 15 11 6 2 1 1 4 6 8 10 12 12 11 9 7 5 5 6 9 10 10 9 8 8 9 10 11 12 12 14 15 15 14 13 12 11 11 11 12 10 8 7 7 7 7 9 12 12 10 9 8 7 6 6 7 6 5 4 5 8 14 17 14 7 3 4 7 9 9 7 4 1 -2 -3 1 9 17 20 18 14 10 10 16 nan
nan 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 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 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 9 8 7 7 7 8 8 7 7 8 8 6 2 -1 -1 6 13 16 14 8 2 0 1 2 4 7 9 10 11 12 12 12 11 9 8 7 8 9 10 10 8 7 7 7 7 8 9 11 13 15 16 15 13 13 13 13 12 10 9 7 6 7 8 9 11 12 11 10 9 9 8 7 7 7 6 4 2 2 4 10 16 16 11 7 6 7 8 9 10 8 3 -2 -4 -1 6 14 19 19 18 15 13 15 nan
nan 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 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 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 9 9 10 11 12 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 10 8 6 5 5 5 6 6 5 5 7 6 5 3 3 6 11 16 14 8 2 -2 -1 2 5 8 10 11 10 9 10 11 12 12 12 10 9 9 9 9 8 7 6 5 6 6 6 6 7 9 13 15 15 13 12 13 13 11 9 8 6 5 5 7 9 11 11 11 10 9 8 8 7 6 6 5 4 3 1 2 6 12 15 12 9 7 8 9 11 12 11 6 -0 -4 -4 2 10 16 19 20 19 17 15 nan
nan 11 11 11 12 12 11 11 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 11 13 15 17 18 18 18 18 17 16 16 15 15 16 16 16 15 13 12 11 9 6 5 4 4 3 3 3 4 5 6 7 8 9 10 12 13 12 8 2 -1 -2 1 4 7 9 10 10 9 8 8 10 13 15 14 13 11 10 9 8 7 5 4 4 5 7 7 6 4 5 9 13 15 12 11 11 11 10 9 9 9 7 5 5 7 9 10 10 11 11 11 10 8 7 6 5 4 3 2 1 3 8 11 11 8 7 9 11 12 13 12 9 3 -3 -5 -2 4 11 16 19 20 19 15 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 11 13 15 18 19 20 20 20 19 18 17 16 15 15 16 16 16 14 12 11 10 8 7 6 5 5 3 2 2 5 7 8 8 10 12 13 12 10 5 1 -1 -1 1 3 5 7 8 10 10 9 9 9 11 14 16 16 15 13 12 10 8 6 4 4 4 5 7 8 7 3 1 3 9 13 13 11 11 10 10 10 11 12 10 6 5 5 7 8 10 12 14 15 14 12 9 7 6 5 4 3 2 3 6 8 8 6 7 9 10 12 12 12 11 7 2 -1 -2 -0 5 11 16 18 17 13 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 12 15 17 19 19 19 19 19 18 17 16 14 13 13 13 14 13 13 12 11 10 10 9 10 9 8 6 5 5 8 10 8 5 5 7 8 7 4 0 -2 -1 1 3 4 5 7 9 10 11 10 11 11 12 14 15 16 15 14 13 11 9 7 6 6 6 6 6 7 8 5 -0 -1 3 10 13 13 12 11 10 10 10 11 10 7 5 4 4 6 8 11 15 17 16 14 11 9 7 7 7 6 4 5 5 6 5 5 5 7 9 10 11 11 11 11 8 5 2 1 3 7 11 13 12 9 nan
nan 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 10 12 16 20 23 24 23 21 19 17 16 15 14 13 11 11 11 12 12 11 10 10 10 10 11 12 11 10 8 7 9 12 12 7 1 -2 -1 0 1 1 -0 0 2 4 6 6 7 9 11 11 10 10 10 11 11 12 14 15 14 13 11 10 9 9 10 10 10 9 7 6 7 6 1 -4 0 7 12 14 14 12 11 10 10 10 9 6 5 4 3 3 4 7 10 13 14 13 11 10 9 10 10 9 7 6 6 6 6 5 5 6 8 9 9 10 10 11 11 9 7 5 4 6 7 8 8 6 nan
nan 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 10 13 17 23 27 30 31 29 25 21 17 15 14 13 12 11 11 11 12 11 10 10 10 10 10 10 10 8 7 6 7 10 13 13 7 -0 -5 -5 -3 0 3 4 4 6 7 8 10 12 13 12 10 8 8 9 9 10 12 13 14 12 11 9 8 8 9 11 13 14 13 9 7 6 4 -1 -5 -1 7 12 15 15 13 11 10 9 9 7 5 3 2 1 -0 0 2 5 8 9 9 9 8 10 12 13 11 9 9 9 9 8 7 6 6 7 8 8 8 9 11 11 10 9 7 7 6 6 6 6 4 nan
nan 10 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 14 13 12 11 11 10 9 9 9 9 9 9 8 8 8 12 17 23 29 33 34 32 27 22 19 15 12 12 12 11 9 9 10 12 12 12 12 12 11 9 8 6 4 3 4 7 11 13 12 7 -0 -4 -5 -2 2 5 7 8 9 10 13 16 17 15 11 8 7 7 8 9 10 12 14 14 11 9 8 8 8 9 11 13 15 15 13 9 6 2 -2 -5 -1 7 12 15 15 14 12 10 8 7 5 3 1 -1 -2 -2 -1 1 4 5 6 5 5 7 11 15 15 13 11 11 11 10 9 8 7 7 7 7 7 8 9 11 12 10 8 7 6 7 7 5 3 3 nan
nan 12 13 13 12 11 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 12 13 13 14 14 14 15 15 14 12 10 9 8 7 8 8 9 9 8 8 8 9 14 20 25 28 30 29 24 18 14 12 11 9 9 9 8 5 5 6 9 11 11 13 13 10 7 5 3 3 3 6 9 12 13 10 6 0 -3 -3 -1 2 5 8 10 13 15 18 20 17 12 7 6 6 8 10 11 13 14 14 13 9 6 7 9 10 10 10 11 13 14 15 13 9 4 -1 -2 1 7 12 15 16 15 12 8 5 3 2 0 -1 -2 -1 -1 1 4 7 8 8 6 6 11 16 19 18 15 12 11 11 10 10 9 8 7 6 6 7 9 11 13 13 9 5 3 3 4 4 2 -1 -2 nan
nan 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 14 14 15 15 15 15 13 11 9 6 5 5 6 7 8 8 8 8 9 11 15 19 21 20 21 20 17 12 8 7 7 6 6 6 5 2 1 3 5 8 8 9 10 9 7 5 3 4 7 10 14 14 12 8 5 1 -1 -1 0 3 5 8 12 16 18 19 17 12 6 3 4 6 9 11 14 16 16 15 11 6 4 5 9 11 11 10 9 8 9 11 12 10 5 2 2 4 9 13 16 17 15 10 5 2 -0 -1 -1 -1 0 2 3 5 7 9 11 11 11 13 17 22 22 19 15 12 10 9 9 9 9 8 8 7 7 7 9 11 12 11 8 3 1 2 3 3 0 -4 -6 nan
nan 12 13 13 13 12 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 14 14 14 14 14 13 13 13 14 14 14 14 13 13 12 10 7 5 4 4 5 7 8 8 9 9 10 12 14 15 14 13 14 15 14 11 6 5 6 6 5 3 3 2 2 2 3 5 6 7 9 10 11 10 9 9 11 15 17 16 11 6 3 1 1 1 2 4 6 9 13 17 17 15 11 7 3 1 2 6 10 14 17 19 19 15 11 5 3 5 10 13 12 10 7 5 3 2 3 4 3 2 2 4 9 14 17 16 12 7 2 -1 -1 -0 2 4 5 6 7 8 8 10 11 14 16 19 20 20 19 16 14 11 10 8 8 7 7 8 8 8 7 7 8 10 10 9 6 4 3 6 9 9 6 1 -2 nan
nan 12 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 13 14 14 14 15 14 14 14 13 13 13 13 12 12 11 11 11 10 9 8 6 4 4 5 7 8 9 10 11 12 12 12 12 11 10 11 12 11 9 6 4 6 8 5 3 2 4 5 3 1 2 5 7 10 14 16 17 16 15 15 17 19 16 10 4 2 3 4 6 7 7 9 11 13 15 14 10 7 4 2 1 1 5 10 16 20 22 21 16 10 5 3 6 12 15 14 10 7 3 -1 -4 -4 0 4 5 5 6 9 13 15 13 8 3 -1 -1 1 4 7 8 9 9 10 10 9 10 12 15 18 19 17 15 13 13 12 11 10 8 6 5 5 6 7 8 7 6 6 9 10 9 8 6 7 9 12 13 12 10 6 nan
nan 11 12 13 13 12 11 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 12 13 13 14 14 14 14 14 14 14 14 13 13 12 12 12 11 10 9 9 10 10 9 9 8 6 5 4 5 7 9 10 11 11 12 13 12 11 10 10 10 11 10 8 6 5 8 9 6 3 5 8 10 6 1 -0 2 6 10 15 18 20 19 16 15 16 18 16 11 6 6 8 10 11 12 12 12 13 14 14 12 9 6 4 2 1 0 3 10 17 23 25 23 18 11 6 4 7 13 16 16 12 8 4 0 -3 -1 5 12 14 13 11 10 11 11 8 5 1 -2 -1 3 7 10 11 12 12 12 12 12 13 14 16 17 16 14 11 9 9 10 11 10 8 6 4 4 4 5 6 6 6 7 11 13 12 10 8 7 8 10 11 12 12 10 nan
nan 11 12 12 11 10 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 13 13 14 14 14 14 14 14 14 14 13 13 11 10 10 10 9 8 7 8 9 9 9 8 7 5 4 4 5 7 9 10 12 13 14 14 13 11 9 9 9 10 9 8 6 6 7 7 6 6 11 16 16 11 4 -1 -1 3 7 12 17 19 18 15 13 14 15 15 12 10 10 11 13 14 15 16 17 16 15 13 11 8 6 3 1 -1 -1 2 8 17 24 27 26 21 14 8 5 7 12 15 16 13 10 7 3 3 7 14 19 20 17 13 10 8 6 4 2 -0 -1 1 5 9 11 13 14 15 15 15 15 16 16 15 13 12 11 10 8 8 8 10 10 10 8 5 4 4 4 5 5 7 8 11 12 12 11 8 6 5 6 7 7 8 7 nan
nan 11 11 10 10 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 9 10 11 12 13 13 14 14 14 13 13 12 12 13 12 12 11 10 9 8 8 8 7 6 7 7 8 7 6 5 4 3 4 5 7 8 11 13 15 16 16 16 12 9 8 8 9 8 7 6 5 6 6 7 10 15 20 20 15 8 2 -1 -0 3 8 13 15 15 13 12 12 13 13 11 9 8 9 11 12 13 16 20 20 18 14 10 7 5 2 -1 -2 -2 1 7 15 22 26 25 20 14 9 6 7 10 13 13 12 10 8 7 9 14 20 23 23 19 13 8 5 3 0 -2 -2 -0 4 7 10 12 14 16 17 17 16 16 15 15 13 11 10 10 9 9 8 8 9 10 11 10 7 5 5 5 4 4 5 6 6 6 7 6 5 4 4 5 6 6 5 3 nan
nan 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 6 6 6 7 8 9 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 9 8 7 7 6 6 6 6 6 6 5 5 4 4 3 3 4 6 7 9 12 16 19 19 18 17 14 10 8 7 7 6 6 5 6 6 8 10 12 14 16 17 15 11 5 0 -2 0 5 9 12 12 11 11 11 11 9 7 5 5 6 6 6 8 12 18 22 20 15 9 5 4 2 -0 -2 -2 0 6 13 21 23 21 15 11 8 8 9 10 11 11 10 9 9 10 13 18 22 24 25 22 17 11 6 3 -0 -3 -3 1 4 7 10 13 16 18 18 16 14 13 12 13 13 11 10 9 9 9 9 9 9 10 11 10 8 7 7 6 5 5 5 5 3 3 3 3 3 3 4 6 8 8 7 4 nan
nan 10 10 11 12 13 12 11 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 8 8 8 7 7 7 7 6 6 6 7 7 8 9 10 11 11 10 10 9 8 8 7 7 7 7 7 8 7 6 6 5 4 4 4 4 4 4 4 3 3 2 2 3 4 5 7 9 11 15 20 23 22 18 15 12 9 6 4 4 3 3 5 7 9 12 13 12 11 10 11 11 10 6 1 -2 -1 3 7 9 9 8 8 9 9 7 5 4 3 3 3 1 2 6 13 20 19 13 6 3 2 3 2 0 -1 1 6 13 20 21 17 11 9 10 12 13 12 11 10 9 9 9 11 12 15 18 22 24 24 21 16 11 6 1 -3 -3 -1 3 7 11 15 17 18 18 14 11 9 9 11 13 13 11 10 8 8 8 8 8 9 10 10 10 9 9 8 7 7 7 7 7 6 5 4 3 4 5 7 9 10 9 7 nan
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nan 11 10 8 7 6 7 7 7 7 7 8 9 10 11 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 13 13 13 14 15 19 24 28 29 25 17 12 9 9 9 11 14 16 14 11 10 10 11 12 13 14 13 12 10 10 11 12 15 19 21 20 17 13 9 8 7 7 7 8 10 10 9 8 7 7 8 9 10 9 8 7 5 4 4 3 1 -1 -2 -1 2 6 10 14 17 18 17 16 16 16 13 10 7 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 11 15 18 18 16 14 12 11 9 7 6 6 7 7 6 5 2 1 3 6 9 10 10 10 11 12 12 12 11 10 10 10 11 12 13 13 12 11 9 7 4 3 3 4 7 9 10 8 6 7 8 10 11 11 13 15 16 15 14 13 11 9 7 4 2 3 6 9 13 16 18 20 19 nan
nan 12 11 8 7 6 6 7 7 7 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 11 12 12 13 13 14 15 18 24 27 27 25 17 10 8 7 8 11 14 17 15 12 10 10 10 11 11 12 12 12 12 12 13 15 17 17 14 12 9 7 6 5 5 5 5 6 7 8 9 9 9 9 10 11 11 11 11 9 8 7 7 6 3 1 -2 -1 3 6 10 13 14 14 12 11 14 17 17 15 11 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 11 15 18 15 12 11 12 13 12 9 8 8 8 7 6 4 2 0 2 5 8 9 8 7 8 10 12 12 12 13 13 11 9 8 8 8 7 6 5 4 3 3 5 6 8 10 11 11 11 10 11 12 12 13 15 16 17 16 14 13 12 10 7 4 2 2 5 10 14 18 21 21 20 nan
nan 13 12 9 7 6 6 6 7 7 7 8 9 10 10 9 9 8 8 8 8 7 7 7 8 8 8 9 10 10 10 10 10 10 10 10 10 11 12 12 12 13 14 16 18 23 27 28 24 17 8 5 6 8 12 16 19 17 13 10 10 11 11 11 11 11 10 10 12 13 15 16 13 9 6 4 3 3 3 5 6 6 6 8 9 10 10 9 9 10 10 11 11 11 11 10 10 9 9 8 5 4 4 5 6 8 9 10 9 7 7 10 15 18 18 15 10 7 7 8 9 10 10 9 9 8 8 8 8 8 8 10 13 16 15 14 14 15 16 13 8 7 7 7 7 5 4 3 2 3 6 8 10 9 7 7 9 12 13 14 15 15 12 8 6 6 7 7 6 5 4 3 3 5 7 10 12 14 15 14 13 12 13 13 14 16 16 16 15 15 15 13 10 7 4 3 5 8 12 17 21 23 22 19 nan
nan 14 12 10 8 7 6 6 6 7 7 8 9 10 10 9 9 9 8 8 8 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 11 11 12 12 12 13 14 15 19 24 29 31 27 19 10 5 7 9 12 16 19 18 15 12 11 11 12 12 11 10 9 8 9 11 13 14 13 8 4 2 2 4 6 9 11 11 11 12 13 14 12 9 8 7 8 8 9 9 10 10 11 11 11 11 11 11 10 8 5 5 6 7 7 5 4 6 10 15 18 17 14 11 9 9 9 9 9 9 8 8 7 7 8 9 9 10 12 15 17 17 17 15 12 9 7 8 9 9 8 5 4 5 6 7 8 9 10 10 10 9 10 12 13 14 15 14 11 8 8 8 8 9 8 8 7 5 4 4 6 8 13 16 18 17 15 14 15 15 16 15 14 14 14 14 14 11 7 4 3 4 6 9 12 17 21 22 20 17 nan
nan 16 13 11 9 7 6 6 6 7 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 11 11 12 12 12 13 13 15 18 24 30 34 32 23 14 8 7 9 11 14 18 19 17 14 12 12 12 12 11 10 9 8 7 9 12 14 14 10 5 3 4 7 12 15 16 16 15 16 18 17 15 11 9 8 8 8 8 8 8 8 9 9 10 11 13 14 13 10 7 5 5 7 9 8 5 4 5 9 14 17 16 14 12 10 9 9 9 8 7 7 8 8 9 10 11 11 12 13 14 13 11 9 7 6 9 11 11 11 9 6 6 9 11 11 10 8 6 6 7 8 9 10 12 13 13 12 12 12 12 11 10 10 11 12 11 9 6 5 5 7 10 14 16 17 17 17 18 19 18 16 14 14 13 11 9 5 1 -1 1 4 6 8 11 15 19 19 17 15 nan
nan 17 14 11 9 7 7 7 7 7 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 8 9 9 10 10 11 11 11 12 12 13 15 18 24 31 35 34 26 16 9 6 7 9 12 16 18 17 16 14 12 11 11 10 10 10 9 8 9 11 13 14 12 8 6 7 9 14 17 17 15 15 15 17 17 14 11 11 12 12 12 10 9 8 6 6 6 7 9 11 12 13 12 11 9 8 9 10 10 9 7 6 7 10 14 15 14 12 11 10 10 9 8 7 7 8 9 10 11 12 12 11 10 9 8 7 7 8 10 12 13 11 9 7 8 11 13 14 13 10 6 3 1 1 3 4 6 8 9 9 10 11 13 13 12 12 13 16 17 15 12 9 7 6 7 8 10 13 16 19 21 22 22 21 20 17 15 11 6 2 -2 -3 -1 3 6 8 9 10 14 17 16 15 13 nan
nan 17 14 11 9 8 7 7 7 7 8 8 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 11 11 12 13 15 18 23 30 34 33 26 15 7 5 5 7 9 12 15 16 16 14 12 10 9 10 10 10 10 9 9 9 12 14 13 10 8 8 9 12 13 12 11 10 10 12 12 10 9 10 13 15 14 13 10 8 6 5 5 5 7 9 11 12 14 14 12 10 7 6 7 8 9 9 9 9 11 12 11 10 9 9 10 10 9 8 8 9 10 10 11 11 11 10 9 8 8 9 11 13 13 13 12 9 8 8 11 14 14 13 11 8 5 2 1 0 1 3 5 6 5 5 6 7 9 10 10 11 14 18 20 17 13 10 7 6 6 8 10 14 19 22 23 23 21 21 20 18 13 7 1 -4 -4 -2 2 6 9 11 11 12 14 15 15 14 12 nan
nan 16 13 11 9 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 12 13 15 18 22 28 32 31 25 14 6 5 5 6 9 11 13 15 15 14 13 11 10 10 10 10 10 9 9 10 12 14 14 12 10 9 8 9 8 8 7 6 6 7 6 5 5 5 8 11 12 12 11 9 7 6 6 7 8 9 11 12 13 13 11 7 3 0 1 4 7 10 11 10 10 10 9 7 6 7 8 8 8 8 9 10 11 11 11 10 9 9 9 10 11 14 17 17 14 11 9 9 9 12 15 15 13 10 9 7 6 4 3 4 7 8 8 6 4 3 4 6 7 8 7 7 9 12 16 14 11 7 5 3 4 8 14 20 24 25 23 18 16 16 15 13 8 1 -4 -6 -4 0 3 7 10 13 14 14 14 14 13 13 12 nan
nan 13 11 10 9 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 12 13 15 17 21 26 30 30 24 15 9 8 9 10 11 13 15 15 16 15 15 14 13 11 10 9 8 8 8 10 12 15 15 13 12 10 8 7 6 5 5 6 6 6 6 4 4 4 4 5 7 8 8 8 7 7 8 10 13 13 13 12 11 9 6 3 0 -1 -0 2 4 6 8 8 8 8 8 6 5 4 4 6 7 8 9 11 12 12 11 10 9 9 10 12 14 18 19 17 12 9 7 8 11 15 17 17 13 10 9 9 9 6 6 8 12 14 13 8 3 3 6 8 9 8 7 4 3 4 7 9 7 5 3 1 2 8 16 22 25 23 19 12 9 9 8 6 2 -5 -8 -6 0 5 8 10 11 13 14 13 13 12 12 12 13 nan
nan 11 10 10 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 13 14 16 21 26 30 31 26 18 12 10 10 11 12 13 15 16 16 17 17 17 16 13 10 8 7 6 7 9 11 14 16 15 13 11 9 7 6 5 5 6 7 8 8 7 6 5 5 4 4 4 5 5 6 8 10 14 17 17 15 12 8 6 3 1 2 2 3 4 5 5 5 5 6 7 7 6 5 5 5 7 8 9 10 12 13 13 12 11 10 11 12 14 17 18 17 13 9 7 7 9 11 14 17 18 17 14 12 11 11 11 10 12 13 13 10 5 2 4 8 10 11 10 8 5 1 1 2 4 5 6 6 5 4 7 12 17 20 19 14 8 4 4 4 3 0 -5 -6 -1 5 11 14 14 14 13 13 12 11 11 11 12 12 nan
nan 10 10 10 10 9 8 7 7 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 12 13 15 19 26 31 34 30 20 13 9 8 9 9 11 12 14 16 17 18 19 19 17 13 11 9 8 8 9 12 15 16 16 14 12 9 7 6 6 6 7 8 9 9 9 8 7 7 6 5 4 4 5 7 9 12 15 17 17 14 10 6 5 5 6 6 7 7 8 8 7 6 6 7 8 8 8 8 8 9 10 11 11 12 13 14 13 12 11 11 12 14 15 17 16 14 11 9 9 9 9 9 10 14 17 19 19 16 14 13 13 13 11 9 7 4 1 1 5 10 12 13 13 10 6 2 1 2 5 8 10 10 9 7 8 10 13 16 16 11 5 1 2 4 4 3 -1 -1 5 10 15 17 16 15 12 11 11 11 10 10 10 11 nan
nan 10 10 10 10 9 9 8 7 7 8 8 9 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 12 13 14 18 25 32 35 33 23 12 8 6 6 7 8 10 13 16 18 19 20 20 20 18 15 13 12 12 13 14 17 19 19 18 15 11 8 8 8 8 8 9 9 10 10 10 9 9 10 9 8 7 8 9 10 12 13 13 13 11 8 7 8 12 16 15 13 10 9 9 9 8 8 9 10 11 11 10 10 10 11 12 12 13 13 13 13 11 10 10 11 12 13 13 12 12 13 14 14 12 8 6 6 9 13 16 18 17 13 10 9 8 7 5 4 2 2 3 6 10 14 16 16 12 6 2 2 4 7 11 12 13 12 11 10 11 12 14 14 10 5 2 3 5 6 5 4 5 9 13 16 16 15 13 11 11 11 10 10 9 9 10 nan
nan 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 14 18 24 32 36 34 24 13 7 5 4 6 8 11 14 16 18 19 19 19 18 18 17 16 16 15 15 17 19 22 23 22 20 16 13 12 11 11 11 11 10 10 10 10 11 12 13 14 14 12 11 11 12 12 11 9 8 6 6 8 12 17 22 21 16 12 9 8 8 9 11 12 11 10 9 9 8 8 9 10 11 11 11 11 10 9 8 8 8 9 9 9 8 11 15 17 17 13 7 4 4 6 9 11 13 13 10 5 3 3 5 6 7 7 6 6 8 11 14 18 18 12 5 1 1 3 5 8 10 13 15 14 12 11 11 13 12 9 6 5 5 7 9 8 8 9 11 13 15 14 13 12 12 11 11 10 9 9 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
35 33 35 36 41 48 53 55 51 59 64 65 64 60 50 38 30 29 34 38 42 45 33 28 28 26 21 16 13 15 14 12 9 8 8 8 7 7 9 10 10 9 10 10 14 19 21 21 20 22 22 22 21 22 22 22 22 22 16 14 15 17 16 15 14 13 12 11 11 11 11 9 8 8 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 0 0 0 0 16 56 58 30 11 3 0 0 0 0 0 7 80 53 30 5 0 1 8 23 48 68 72 57 35 17 8 20 20 16 13 7 5 11 4 0 0 0 0 0 0 0 0 0 1 9 21 27 26 19 14 36 135 194 195 173 184 267 398 481 393 205 64 11 2 1 0 0 0 0 1 2 4 4 3 2 4 7 6 2 1 5 11 11 5 1 0
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