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 7 8 9 10 11 11 9 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 7 7 7 7 6 4 -1 -6 -7 -3 2 4 4 5 5 6 6 7 8 9 9 8 7 6 5 5 6 7 7 8 8 7 6 4 3 2 2 3 4 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 5 4 4 3 3 3 4 4 5 4 4 4 4 5 6 7 8 8 9 9 10 11 12 14 15 15 15 15 14 13 12 12 13 15 20 25 29 33 35 34 33 30 25 21 16 13 11 10 9 8 7 8 8 8 8 8 nan
nan 9 10 11 10 10 8 6 5 6 7 8 8 9 8 7 7 7 7 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 6 7 7 8 8 7 7 7 8 8 8 8 8 7 6 7 8 9 8 8 6 6 7 7 7 6 2 -3 -7 -5 -0 2 3 4 4 5 5 6 7 8 9 8 7 6 6 6 6 7 8 8 8 7 5 4 3 2 3 4 4 5 6 6 6 6 6 6 6 6 7 6 6 6 5 5 5 5 4 3 3 3 3 3 3 3 3 2 2 2 3 3 4 5 5 6 6 6 7 7 8 9 10 11 12 12 11 10 10 9 9 11 15 20 24 28 31 33 34 32 29 25 22 17 13 11 10 9 8 8 8 8 9 nan
nan 11 11 10 9 7 6 6 6 7 8 9 9 8 8 7 7 7 7 7 8 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 7 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 6 6 7 8 8 8 7 5 5 6 7 8 7 5 0 -5 -6 -3 0 2 3 3 4 4 5 6 8 8 8 7 7 6 6 7 8 8 8 8 7 6 5 4 4 4 5 6 6 7 7 7 6 6 6 6 7 7 7 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 5 5 5 6 7 7 8 9 9 10 9 9 8 8 9 12 15 18 23 29 33 34 34 33 30 25 20 17 15 12 10 9 9 9 9 nan
nan 11 10 9 7 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 7 7 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 7 8 8 6 4 4 6 7 8 8 7 3 -2 -5 -4 -2 -0 1 2 3 3 4 6 7 7 8 7 7 6 6 7 7 7 8 8 7 6 6 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 5 4 4 3 2 2 2 2 2 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 8 9 9 9 9 8 9 10 11 15 20 25 29 32 34 34 32 29 26 22 19 16 14 11 10 9 nan
nan 10 9 7 7 7 7 8 9 9 9 8 8 7 7 7 7 6 6 7 7 7 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 7 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 7 8 8 6 4 4 5 7 8 8 8 6 2 -1 -4 -5 -3 -0 2 2 3 4 5 6 7 7 7 6 5 5 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 4 3 3 2 2 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 9 9 9 9 9 10 12 16 20 24 27 30 33 34 34 32 29 25 21 17 13 11 nan
nan 9 8 7 7 7 8 8 9 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 8 8 7 7 6 6 7 8 8 6 5 4 5 6 7 8 8 7 5 2 -1 -5 -5 -3 -1 1 2 3 4 5 6 6 6 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 7 8 9 9 9 9 9 10 12 14 17 21 27 33 36 36 36 35 30 25 21 18 nan
nan 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 7 6 5 6 6 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 6 5 5 6 7 8 8 8 7 5 3 -1 -4 -5 -3 -1 0 1 2 3 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 5 5 6 6 6 7 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 6 7 8 9 9 9 8 8 9 10 13 17 22 27 30 33 35 34 31 28 26 nan
nan 8 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 8 8 9 9 9 7 6 6 6 7 7 7 7 7 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 6 5 5 6 7 8 8 8 7 6 5 3 0 -2 -2 -2 -2 -1 -1 1 3 4 4 4 4 5 5 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 6 7 8 8 8 8 8 9 10 12 16 19 23 26 27 28 28 28 nan
nan 8 8 8 8 7 7 7 8 8 8 7 6 6 6 6 6 7 7 6 7 7 7 6 7 8 9 8 8 7 7 7 7 8 8 8 8 8 7 7 8 9 8 8 7 8 8 9 9 8 7 7 7 8 8 8 8 8 7 7 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 6 5 5 6 6 7 8 8 7 6 6 5 5 3 2 0 -1 -3 -4 -3 0 2 3 4 4 4 5 6 6 7 7 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 6 7 8 8 8 9 9 8 9 12 14 15 16 19 20 21 nan
nan 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 8 8 7 7 7 7 7 8 8 9 8 7 7 7 7 8 8 7 7 7 8 8 8 8 7 6 7 7 8 8 8 8 8 7 8 8 7 7 8 8 7 7 7 7 7 7 6 7 6 6 5 6 6 6 7 8 8 8 7 6 6 6 6 5 4 2 -2 -5 -5 -3 -0 1 2 3 4 5 5 6 7 8 8 8 7 7 6 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 8 8 9 9 9 10 10 11 11 11 13 13 nan
nan 5 5 6 7 7 7 7 7 6 6 6 7 7 6 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 6 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 7 6 6 7 7 8 7 7 6 6 6 6 6 6 7 7 8 8 8 7 6 6 6 6 5 5 5 2 -2 -4 -4 -3 -2 -0 2 3 4 5 6 7 8 8 8 7 6 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 10 11 11 10 10 10 nan
nan 6 5 6 7 7 7 7 6 6 6 6 6 6 5 4 4 5 6 8 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 7 7 7 7 7 6 7 6 7 8 8 9 9 8 7 6 6 5 5 5 6 5 3 0 -3 -5 -5 -3 -0 2 4 5 6 7 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 11 11 11 nan
nan 7 6 6 7 7 7 7 7 7 7 6 6 5 4 4 5 7 9 10 10 9 8 8 8 8 7 7 7 7 7 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 8 7 6 6 5 5 5 5 6 6 5 2 -3 -6 -6 -3 -1 2 4 5 6 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 nan
nan 8 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 9 11 11 9 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 8 7 6 6 6 7 8 8 9 9 8 7 6 6 5 5 5 6 7 7 7 6 2 -3 -6 -6 -5 -2 2 4 6 7 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 11 10 9 8 8 8 nan
nan 8 8 8 7 7 7 7 7 6 6 5 6 6 6 6 8 10 11 10 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 8 9 9 8 7 6 6 6 7 8 8 9 9 8 7 7 6 6 5 5 6 7 7 8 8 6 2 -3 -7 -8 -5 -0 3 5 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 10 11 12 12 11 10 9 8 nan
nan 9 9 9 8 7 7 7 7 6 6 6 6 6 6 7 9 10 10 8 8 7 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 7 7 7 7 8 8 9 9 9 8 7 7 8 8 8 8 8 7 6 6 7 8 9 8 8 7 6 6 6 7 8 9 9 9 8 8 7 7 7 6 6 6 7 7 8 8 7 6 1 -5 -8 -7 -2 2 4 5 6 7 6 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 11 12 13 12 11 10 nan
nan 9 9 9 8 7 7 7 7 7 7 7 7 6 6 7 9 10 9 8 8 7 8 8 8 8 8 8 8 8 7 7 8 9 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 8 8 8 8 8 7 6 7 8 9 8 7 6 6 6 6 6 8 8 9 9 9 8 8 8 8 8 7 6 6 6 7 7 7 7 6 4 -2 -6 -7 -3 1 3 5 5 6 5 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 7 8 10 11 13 14 13 12 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 10 10 9 8 7 7 7 8 8 8 8 8 8 8 7 6 7 8 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 7 7 7 8 9 9 9 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 6 5 5 6 7 8 8 9 9 9 9 9 9 8 8 7 6 6 7 7 7 7 7 6 5 2 -2 -4 -3 0 3 4 5 5 5 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 8 11 12 13 12 nan
nan 7 8 8 8 7 8 8 8 8 7 7 7 7 6 8 10 11 10 8 8 7 7 7 7 7 8 8 8 8 8 7 6 7 7 8 8 8 7 7 7 7 6 6 6 7 7 8 8 8 8 7 6 7 8 9 9 8 7 7 7 7 8 9 8 8 8 8 7 7 8 8 8 7 6 5 5 6 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 7 7 6 6 5 2 -0 -0 1 2 4 6 6 4 3 2 2 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 7 8 9 10 nan
nan 7 9 9 9 8 8 8 8 8 7 8 8 7 8 9 11 11 10 8 8 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 6 5 5 5 6 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 9 8 6 5 4 6 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 4 3 2 3 5 8 8 5 2 -0 -0 1 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 4 5 7 nan
nan 8 9 9 9 8 8 7 8 7 8 8 8 8 8 9 11 10 9 8 8 8 8 7 7 8 8 8 9 10 9 9 8 7 7 7 8 9 8 8 7 7 6 5 5 5 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 6 4 4 7 8 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 5 4 5 8 10 9 5 0 -3 -3 -0 2 3 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 4 4 3 2 1 2 3 nan
nan 9 10 10 9 8 7 7 7 7 8 8 8 8 8 10 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 8 7 6 6 6 5 5 6 6 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 8 7 6 4 5 6 8 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 9 8 5 -0 -4 -5 -1 1 3 4 5 6 6 6 6 6 6 6 6 6 7 7 7 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 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 4 3 1 1 1 nan
nan 10 10 10 9 8 7 7 7 7 8 8 8 8 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 10 9 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 6 5 4 6 7 8 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 6 1 -3 -4 -1 0 2 3 5 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 4 3 1 nan
nan 10 10 10 9 8 8 8 7 7 7 7 7 8 9 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 7 8 8 9 9 10 10 10 10 10 9 9 9 10 10 9 9 8 7 6 6 6 7 7 8 8 8 6 5 5 6 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 7 6 3 1 0 -0 -1 0 2 4 5 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 3 nan
nan 9 10 10 9 9 8 8 7 6 6 6 7 8 9 10 9 9 9 8 8 8 8 8 8 8 7 7 6 7 8 8 8 8 8 8 7 6 7 9 11 12 11 10 8 8 8 7 8 9 10 10 10 10 10 10 9 9 10 11 11 10 9 7 7 6 6 6 6 6 7 8 8 6 5 6 7 9 9 9 8 8 7 8 8 8 8 7 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 8 7 7 6 6 5 4 2 0 0 1 2 4 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 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 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 5 nan
nan 9 10 10 9 9 8 8 7 6 6 7 8 8 9 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 6 6 8 10 11 11 9 8 8 7 7 8 9 10 10 10 10 10 9 9 10 11 11 11 10 9 9 9 8 8 7 7 7 8 9 9 6 5 6 8 9 9 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 7 8 8 8 8 7 7 7 7 7 6 5 3 2 1 1 2 4 5 6 7 7 7 7 7 7 7 8 8 8 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 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 9 10 10 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 9 10 10 11 10 10 9 7 6 6 7 9 10 9 7 7 7 7 8 9 10 10 10 9 9 9 9 10 11 11 10 10 10 10 10 9 9 9 8 9 9 9 7 6 6 7 8 9 8 8 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 8 7 8 8 9 9 8 7 7 6 7 7 7 6 6 5 3 1 1 3 6 8 9 9 8 7 7 6 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 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 nan
nan 9 10 10 10 9 9 9 8 8 8 8 8 7 7 7 8 8 7 7 7 7 6 6 6 7 7 8 8 8 9 10 11 11 11 11 10 9 7 6 6 7 8 8 7 6 6 7 8 10 10 10 9 8 8 8 8 9 11 11 11 10 10 9 9 9 9 9 9 9 8 5 4 5 7 8 9 8 8 7 7 7 7 7 8 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 6 6 6 6 5 3 3 4 8 11 12 10 8 5 4 5 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 nan
nan 10 10 9 9 10 10 9 9 9 9 9 8 7 7 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 10 10 11 11 11 10 8 7 7 7 8 8 7 6 6 7 7 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 8 5 1 2 5 7 9 9 8 8 7 6 7 7 8 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 9 9 8 8 7 6 6 6 6 6 6 6 6 6 5 6 7 10 12 12 9 4 -1 -1 4 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 8 nan
nan 10 10 9 9 10 9 9 9 9 9 9 8 8 7 8 8 8 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 9 9 8 9 9 10 11 11 12 11 9 3 -0 1 5 8 10 9 8 7 7 6 7 8 9 8 7 7 8 8 8 7 6 6 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 10 9 4 -4 -8 -4 3 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 10 10 10 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 7 6 6 6 7 7 8 8 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 8 8 9 10 10 10 10 9 9 8 7 8 8 10 11 12 12 12 11 7 2 1 3 7 10 10 9 7 7 7 7 8 9 8 7 7 8 8 9 9 7 6 7 7 7 7 7 8 8 8 9 9 9 9 8 7 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 4 -2 -10 -10 -2 4 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 nan
nan 9 9 9 9 8 8 9 9 9 9 8 8 8 8 7 7 8 10 11 9 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 10 10 11 10 10 10 11 11 10 9 7 7 7 7 8 8 9 11 11 11 10 9 8 7 8 8 9 10 11 11 11 8 5 2 2 6 10 13 11 8 6 5 6 7 8 8 7 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 8 9 9 10 10 9 8 8 8 8 8 8 8 7 7 6 5 5 6 7 7 6 1 -6 -10 -5 3 8 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 nan
nan 10 9 9 8 8 9 9 9 9 9 8 8 8 8 7 7 8 10 11 10 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 10 11 10 10 10 10 10 10 9 8 7 7 7 8 8 8 9 10 11 11 10 9 9 9 9 8 9 9 9 8 5 2 2 4 10 14 15 12 8 5 4 5 6 7 7 6 7 8 9 9 9 9 9 8 8 7 7 6 6 7 7 8 9 9 10 10 9 9 8 8 9 9 9 8 8 7 5 5 5 6 7 7 5 -0 -6 -5 2 9 12 11 9 8 7 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 nan
nan 10 10 9 8 9 9 9 9 9 9 8 8 8 8 7 7 8 9 10 10 9 8 7 6 5 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 8 7 7 8 8 7 8 10 11 11 11 11 10 9 8 8 8 8 6 3 2 3 8 14 17 16 12 8 5 5 6 6 6 6 7 7 7 8 8 9 9 9 9 8 7 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 6 6 5 2 -0 4 12 16 15 11 8 7 6 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 9 8 9 9 9 9 9 9 9 8 8 8 7 8 8 9 10 10 9 8 7 7 6 6 6 6 7 7 7 7 7 7 8 9 9 7 6 7 7 8 8 8 9 9 9 9 8 7 7 7 8 7 7 9 10 11 11 11 11 9 8 7 7 7 6 4 4 7 12 16 17 14 10 7 7 7 8 8 8 7 7 7 6 6 7 8 9 9 8 7 6 7 7 8 8 9 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 7 6 5 5 6 6 6 6 8 13 18 18 15 11 8 6 4 3 3 4 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 8 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 9 8 7 7 7 6 6 7 7 7 6 6 7 8 8 8 7 6 6 6 6 7 7 8 10 10 9 8 7 7 9 9 7 7 7 8 9 9 10 11 10 8 7 7 7 7 6 7 9 12 14 13 10 8 7 8 9 10 10 9 8 7 6 6 6 7 8 8 8 7 6 6 7 8 8 9 9 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 6 6 6 8 9 11 14 15 14 12 10 7 3 1 -0 1 3 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 7 8 8 7 7 7 7 8 8 7 7 7 7 7 6 6 8 10 10 10 9 8 9 10 10 9 7 6 6 6 7 8 8 8 8 7 7 7 7 6 7 9 11 10 9 7 7 8 10 10 9 9 9 8 7 6 7 7 7 8 8 7 6 6 6 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 7 6 7 8 9 9 10 10 9 9 7 5 1 -3 -4 -0 3 5 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 nan
nan 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 7 6 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 7 7 7 8 9 9 9 10 11 11 11 10 8 5 4 4 5 5 6 6 7 7 6 6 6 6 8 9 9 9 8 7 8 10 11 10 9 9 9 7 6 6 7 8 8 7 7 6 6 6 6 8 8 8 8 8 8 7 7 8 8 9 10 10 10 10 10 9 9 8 8 8 9 8 8 7 7 8 9 9 8 7 5 3 1 -1 -4 -8 -7 -1 3 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 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 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 7 7 8 9 10 10 9 9 9 9 9 10 10 9 7 6 6 7 8 9 10 11 11 10 9 7 5 4 4 5 5 6 7 7 7 7 6 6 6 7 8 9 9 8 8 8 9 10 9 9 9 8 7 6 7 8 8 7 7 6 6 6 6 7 8 8 8 8 7 7 7 7 8 9 9 10 11 10 10 10 9 9 8 9 9 9 9 8 7 7 8 9 10 8 4 -1 -4 -6 -7 -9 -11 -6 -0 4 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 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 8 8 8 8 8 8 8 nan
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nan 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 7 7 8 9 8 8 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 9 11 12 12 12 10 9 9 8 8 8 10 11 11 11 11 11 10 9 9 10 10 10 10 9 8 8 9 11 14 16 17 17 16 15 13 10 9 8 7 8 9 10 11 12 12 13 12 11 11 11 11 13 16 19 21 23 23 23 21 19 17 17 16 15 14 13 12 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 10 10 9 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 8 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 9 9 9 9 8 7 8 8 8 9 9 11 12 12 12 11 10 10 9 9 9 9 9 9 8 7 6 8 10 12 13 14 15 15 15 14 12 10 9 9 8 8 9 9 10 11 12 12 11 11 12 14 17 22 25 26 27 28 28 28 29 29 28 26 25 22 19 15 13 13 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 7 6 6 6 6 6 7 8 9 9 9 9 9 8 7 8 7 7 7 7 6 6 6 7 7 7 7 8 8 7 7 6 6 6 7 8 9 11 13 13 12 11 10 10 9 9 9 9 9 9 8 7 6 6 9 11 13 14 14 14 14 13 12 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 13 15 19 21 21 20 18 17 18 21 24 27 28 27 24 20 16 14 14 14 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 nan
nan 9 9 9 9 9 8 8 9 9 9 9 9 9 9 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 10 11 10 10 10 11 11 11 11 10 10 10 10 10 9 9 8 7 7 7 7 6 6 7 8 9 9 10 10 9 9 8 8 9 9 10 10 9 8 7 8 7 7 6 7 7 7 7 8 8 8 8 8 9 10 12 12 12 11 10 10 10 9 10 10 10 10 9 8 7 7 9 12 15 16 15 15 15 14 12 9 8 7 8 8 9 9 9 9 9 8 8 8 9 10 11 11 12 13 13 13 10 7 4 2 3 6 9 12 13 12 11 13 16 17 15 13 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 nan
nan 9 9 9 9 9 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 7 8 9 9 10 10 10 10 9 9 9 9 10 11 11 11 10 9 9 9 8 6 5 5 6 7 8 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 10 11 11 10 10 9 9 11 14 17 18 18 17 15 14 13 10 8 7 7 7 6 7 8 8 8 9 8 8 8 9 10 11 12 12 12 11 11 11 11 8 3 -1 -3 -4 -3 -3 -1 2 7 12 14 12 10 10 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 13 13 13 13 13 13 nan
nan 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 10 10 10 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 9 10 10 10 11 11 11 9 8 9 8 7 5 4 4 6 7 9 10 10 11 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 13 16 18 20 19 17 15 14 11 9 7 7 6 6 6 6 7 7 8 8 9 8 8 9 9 11 12 12 12 12 14 16 18 19 18 14 10 7 5 3 5 8 11 12 10 10 11 12 12 11 11 11 11 11 11 11 11 13 15 16 15 15 15 15 15 15 14 14 14 nan
nan 8 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 10 9 9 8 8 8 8 8 8 9 9 8 8 8 7 7 5 5 6 7 9 10 10 9 9 9 8 8 8 7 5 4 4 5 7 9 10 11 12 12 13 13 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 12 13 15 17 18 16 15 13 11 8 6 5 5 6 6 7 7 7 8 8 9 9 9 9 9 9 10 11 12 12 12 13 15 18 21 25 27 27 26 24 24 25 26 26 23 20 20 21 21 19 18 16 15 14 13 13 14 18 22 24 23 20 17 16 16 15 15 14 14 13 nan
nan 9 9 8 8 8 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 9 10 10 10 11 12 11 11 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 10 10 11 11 11 11 10 10 9 9 9 9 8 8 7 5 3 0 -2 -3 -2 -2 -1 -0 1 4 6 8 9 9 8 7 8 8 7 6 4 5 7 9 10 11 12 12 12 13 12 12 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 12 13 14 15 14 13 11 9 6 4 4 4 6 7 8 9 9 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 12 13 16 20 25 29 30 30 31 32 33 32 30 30 30 30 30 30 29 26 23 21 20 19 20 24 27 28 24 20 17 15 14 14 14 14 13 13 nan
nan 9 9 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 9 8 7 8 10 12 12 13 12 12 11 11 11 11 10 10 10 10 9 9 10 10 10 10 11 11 10 10 10 11 11 11 10 10 10 10 10 9 6 3 0 -3 -6 -10 -11 -11 -9 -8 -6 -5 -3 1 4 7 9 9 7 7 8 8 6 5 5 7 10 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 11 9 7 5 3 3 4 6 8 9 10 10 10 10 11 12 12 12 13 13 13 12 11 11 10 11 11 11 11 12 13 14 16 19 20 21 22 22 22 22 22 23 25 27 28 30 31 30 29 30 30 29 27 24 22 20 19 18 18 17 16 15 14 14 13 13 nan
nan 9 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 9 6 2 -0 1 5 10 12 13 14 14 14 13 12 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 9 5 1 -4 -6 -7 -9 -9 -9 -8 -6 -5 -4 -3 -1 3 6 8 8 6 5 5 6 5 4 4 6 9 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 11 11 10 9 9 9 9 8 7 6 5 4 4 5 7 8 10 10 11 11 11 12 12 12 12 12 11 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 12 11 10 11 12 13 14 16 18 20 22 25 28 31 33 32 30 25 20 17 19 22 24 24 22 20 16 14 12 12 nan
nan 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 11 11 11 11 11 11 11 9 5 -1 -6 -7 -3 5 11 13 14 16 16 15 14 13 13 12 11 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 9 6 1 -3 -5 -5 -4 -2 -1 -0 1 1 2 2 3 5 6 7 6 4 -0 -1 -1 0 1 3 5 7 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 11 11 11 12 11 11 10 9 8 7 6 7 6 5 5 5 5 6 7 8 9 10 11 11 11 11 11 12 12 12 11 10 9 10 10 11 13 13 13 13 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 9 10 10 10 11 13 16 20 22 24 25 27 26 24 22 21 22 22 22 20 17 14 12 11 10 nan
nan 8 8 9 9 9 10 9 9 8 8 8 8 9 9 10 10 10 11 11 10 10 9 7 1 -6 -9 -6 0 7 11 13 15 17 18 16 15 14 14 12 11 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 8 5 2 1 1 3 5 6 6 6 7 6 5 5 6 7 7 7 5 0 -4 -6 -5 -4 -1 1 4 5 5 5 6 7 7 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 11 10 8 7 6 6 5 5 5 5 5 5 7 8 9 9 9 11 11 12 11 11 11 11 11 10 10 8 8 8 8 9 11 13 14 14 14 12 11 10 9 8 8 7 7 7 8 9 8 8 8 8 9 9 9 10 9 10 11 13 14 15 17 19 21 21 18 12 7 5 4 5 6 7 8 9 9 nan
nan 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 9 7 4 -3 -8 -7 -2 5 9 10 11 13 16 17 18 18 17 15 12 11 11 11 11 11 10 10 10 10 9 9 9 10 11 11 11 11 11 12 11 10 9 8 8 9 12 13 14 14 14 13 11 8 6 5 5 6 7 7 5 2 -0 -1 -2 -2 -1 -0 0 1 2 5 7 8 8 8 7 6 6 6 7 9 10 11 12 12 13 12 12 11 9 7 5 3 3 4 5 5 6 7 8 10 12 12 10 9 10 11 12 12 11 11 11 10 10 9 8 7 7 8 8 9 11 12 13 14 13 11 10 9 8 7 7 7 7 7 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 13 13 12 7 1 -4 -6 -5 -2 1 4 6 8 8 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 6 1 -6 -8 -4 1 7 9 10 10 11 14 18 21 23 21 16 12 11 11 11 11 11 10 10 10 10 9 8 9 9 9 9 10 11 12 12 11 10 10 12 14 16 18 19 20 20 20 17 13 10 8 6 5 6 6 7 6 6 5 5 5 4 3 2 1 1 3 6 7 7 7 6 5 4 4 5 7 9 10 12 13 13 12 11 9 8 6 5 4 4 4 5 6 7 9 11 13 15 14 13 11 10 11 12 12 12 11 10 10 9 8 7 6 6 7 8 9 10 10 10 11 12 11 10 10 9 8 7 7 7 7 8 9 9 10 11 10 10 10 10 10 10 11 11 12 12 11 10 10 10 9 5 1 -2 -2 -1 1 2 4 6 7 8 8 nan
nan 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 7 5 -2 -8 -7 -3 3 7 9 10 10 10 12 18 23 26 23 17 13 12 12 11 11 10 10 10 10 10 9 9 9 9 8 8 10 11 12 12 11 10 11 12 14 15 17 17 17 16 14 13 12 11 11 9 8 7 7 7 7 8 8 9 9 9 8 7 6 6 6 6 4 2 1 3 3 4 6 8 8 9 10 12 12 11 10 8 7 6 5 6 7 8 9 9 9 10 12 14 14 14 14 13 12 12 12 12 11 10 9 8 8 7 7 6 5 5 6 8 9 9 9 9 10 10 9 10 10 10 9 8 8 8 8 9 10 11 12 12 11 11 10 10 10 10 10 11 11 11 10 9 8 6 3 -2 -3 -3 1 4 6 7 7 8 8 8 8 nan
nan 10 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 7 3 -5 -9 -6 -2 4 8 10 10 10 10 12 16 21 26 25 19 15 13 12 11 10 9 9 9 10 10 10 9 9 8 8 8 10 11 11 11 11 11 12 12 12 12 12 10 6 3 3 5 8 12 14 12 11 10 9 8 8 9 10 10 10 11 11 11 10 10 9 6 3 -0 -1 0 2 5 7 9 10 10 10 10 10 8 7 6 6 6 8 10 10 11 10 10 10 12 13 13 11 11 12 12 13 12 11 10 8 6 5 5 6 6 5 4 4 5 6 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 10 11 11 12 13 12 11 11 10 10 10 10 10 10 11 10 9 8 5 1 -4 -6 -5 -2 3 6 7 8 8 9 9 9 9 nan
nan 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 7 0 -7 -8 -6 -1 5 8 9 10 10 10 11 14 20 25 25 21 17 13 11 10 9 9 9 9 10 10 9 9 9 9 8 9 10 10 10 10 10 11 11 11 11 11 8 4 -3 -5 -3 3 9 13 13 13 13 13 12 11 11 11 11 11 12 12 13 13 13 12 11 9 7 6 4 3 4 6 7 8 9 9 9 8 6 5 5 5 5 6 8 9 8 7 6 7 9 10 10 9 8 9 10 10 10 10 8 7 6 5 5 6 7 7 6 7 7 9 9 9 9 9 9 9 8 7 7 7 7 7 9 10 10 11 12 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 6 1 -1 -1 1 4 7 8 9 9 9 10 10 10 10 nan
nan 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 10 10 7 0 -6 -7 -5 0 6 9 9 10 10 10 10 13 18 23 25 23 18 14 11 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 6 1 -3 -1 4 10 15 15 13 13 14 15 15 15 15 15 14 14 15 16 16 17 18 18 16 14 12 11 10 10 9 9 8 8 8 8 8 7 6 5 5 4 5 6 6 6 5 5 7 8 10 10 9 7 8 8 8 7 6 5 4 4 5 8 10 12 11 10 10 11 12 13 13 12 11 10 9 8 7 6 6 7 7 9 10 11 11 12 12 11 11 11 11 11 11 10 9 9 9 10 10 10 10 11 11 12 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 nan
nan 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 11 8 2 -4 -6 -4 1 6 9 9 10 10 10 10 12 15 20 24 23 18 14 12 9 9 9 10 11 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 8 6 4 6 11 16 19 19 16 13 12 13 14 15 17 18 18 18 19 21 22 23 24 25 24 21 17 15 14 14 15 15 14 12 10 9 7 7 7 8 7 7 6 7 7 8 8 8 10 12 13 14 12 10 9 9 9 8 7 5 4 4 6 10 13 15 14 11 10 9 10 11 11 12 12 10 8 6 5 5 6 7 8 10 11 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 11 11 13 15 19 22 21 18 15 12 11 10 10 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 10 10 10 9 3 -3 -6 -4 1 6 9 10 10 10 10 10 11 13 18 24 24 20 16 12 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 9 12 16 18 18 16 13 11 11 11 11 12 13 14 16 18 20 22 24 25 26 26 23 21 19 18 19 20 21 21 20 17 14 11 9 9 11 11 11 11 10 10 10 10 11 12 14 15 15 13 11 10 10 10 10 9 8 7 6 8 11 14 15 13 10 8 8 8 7 7 8 9 8 7 5 4 5 7 8 9 11 12 13 13 13 12 11 11 11 11 11 11 12 11 11 10 10 9 9 9 10 10 11 12 13 16 18 18 16 12 10 9 9 9 10 10 9 9 10 10 nan
nan 9 9 10 10 11 11 11 10 10 10 9 9 8 8 8 9 9 10 10 10 8 2 -5 -7 -4 1 6 9 10 10 10 10 10 10 11 18 25 27 24 18 12 10 10 10 10 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 11 12 12 11 9 8 8 8 8 8 7 7 8 11 14 16 17 18 19 19 18 17 17 19 22 24 25 25 26 24 21 18 17 17 18 19 17 15 13 12 11 11 12 13 13 13 13 11 9 7 7 8 10 10 9 9 8 9 10 12 12 11 8 6 6 8 8 8 7 7 7 6 6 6 7 9 11 12 12 13 14 14 13 12 12 11 10 10 10 10 11 11 11 10 10 9 10 9 9 10 10 11 12 13 14 12 9 7 5 5 8 9 9 9 9 9 10 10 10 nan
nan 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 10 8 -0 -6 -7 -4 2 7 9 9 10 10 10 10 10 12 20 28 29 26 19 12 10 10 10 10 11 11 11 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 5 2 1 1 3 4 5 5 6 7 9 11 12 12 13 13 13 13 14 16 19 21 23 24 25 25 24 22 21 22 24 25 23 19 15 13 11 11 11 12 12 12 11 9 7 6 5 6 8 9 9 9 9 9 10 11 11 10 7 6 7 8 10 10 10 10 9 8 8 9 11 13 14 13 13 13 14 14 13 12 12 11 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 9 8 8 7 8 9 9 10 10 10 10 10 10 11 nan
nan 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 9 9 10 10 6 -1 -5 -6 -4 2 7 9 9 10 10 10 10 10 15 23 29 29 25 16 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 8 6 -0 -6 -7 -5 -1 2 4 5 7 9 11 12 12 12 12 13 13 14 15 16 17 18 19 19 19 18 17 16 16 17 19 19 17 14 11 9 9 10 11 12 11 10 9 8 6 5 5 6 8 8 8 8 9 9 11 12 12 11 10 10 11 12 12 12 12 12 12 13 14 15 16 17 16 15 14 13 13 12 12 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 13 15 15 14 12 11 11 11 11 11 11 11 11 nan
nan 8 8 8 9 9 8 8 8 9 10 10 10 11 10 9 9 8 9 9 9 4 -2 -6 -7 -4 2 6 8 9 10 10 10 10 12 19 27 30 28 21 13 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 7 3 -5 -10 -10 -7 -2 3 5 7 10 12 14 14 13 13 13 14 14 15 16 17 17 16 16 15 12 9 6 3 3 5 7 8 7 7 6 6 7 9 11 10 9 7 5 3 1 0 2 4 5 6 7 8 9 11 12 13 15 15 15 15 15 15 15 15 15 16 16 17 17 17 16 16 15 14 13 12 11 11 11 12 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 13 16 17 19 17 14 12 12 12 11 11 11 11 11 nan
nan 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 8 3 -2 -6 -7 -4 2 5 8 9 10 10 10 12 16 24 30 30 25 17 12 11 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 10 10 9 9 8 8 8 9 9 8 8 7 1 -7 -9 -8 -4 1 4 7 10 13 15 15 15 14 13 13 14 14 15 16 16 16 15 13 10 5 -0 -5 -8 -7 -3 -0 1 2 2 2 3 4 6 7 6 3 -1 -4 -7 -8 -7 -4 -2 -1 1 3 6 9 12 14 15 16 16 16 17 17 17 17 17 17 17 17 16 14 13 12 11 11 11 11 11 11 11 11 12 11 10 9 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 12 14 16 19 19 16 15 13 12 12 12 11 11 11 nan
nan 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 8 4 -0 -3 -5 -2 1 4 7 9 10 10 11 14 20 28 30 26 19 14 12 11 10 10 11 10 9 9 9 10 11 10 10 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 5 -2 -6 -7 -5 -1 4 8 12 15 17 16 16 15 14 13 13 14 14 15 16 15 14 12 10 6 2 -2 -5 -5 -1 0 1 1 1 -1 -1 -1 0 1 -1 -3 -6 -8 -10 -10 -8 -6 -4 -4 -4 -3 -1 3 6 9 11 12 13 14 15 16 17 16 16 16 16 15 13 12 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 10 10 10 10 11 10 10 10 10 10 10 10 11 10 10 11 10 11 11 12 15 18 20 19 17 15 13 12 12 12 11 11 nan
nan 10 9 9 10 10 10 9 9 9 9 10 10 9 9 9 8 8 7 8 8 6 3 -0 -3 -2 0 3 6 8 10 10 11 15 22 28 27 21 16 13 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 10 8 7 6 6 6 6 7 8 8 4 -3 -6 -6 -3 3 7 11 14 18 19 18 17 15 14 14 13 14 14 15 15 14 12 10 9 8 7 6 7 9 9 8 7 6 5 3 2 1 1 -1 -3 -6 -7 -6 -4 -1 1 3 3 3 2 1 2 3 4 4 4 6 9 12 14 14 13 13 12 12 12 11 10 9 9 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 14 18 19 21 19 17 14 13 13 12 12 12 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 8 8 7 7 8 8 6 1 -2 -2 -1 2 5 8 10 10 12 15 23 27 24 20 16 13 11 10 11 11 11 11 11 11 11 12 11 11 10 10 11 11 10 8 5 2 1 1 3 5 6 8 9 8 2 -3 -6 -5 0 5 8 11 16 21 23 20 18 16 15 14 14 14 15 15 14 13 11 9 10 11 13 15 15 15 15 14 12 12 10 9 8 7 5 4 2 2 2 4 6 8 9 10 10 10 10 9 9 7 5 3 4 8 12 15 14 13 11 10 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 12 12 12 11 12 11 11 11 11 11 11 12 12 12 12 12 14 16 18 21 21 19 17 15 14 14 13 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 9 9 6 3 -1 -2 -2 1 4 7 9 10 12 15 22 26 24 21 16 12 11 10 10 11 11 11 11 11 12 12 11 10 9 9 10 10 8 4 -3 -6 -5 -3 2 6 8 9 10 7 1 -4 -6 -3 3 7 9 12 19 25 26 23 19 17 15 15 15 14 14 13 12 10 9 9 10 12 14 15 14 15 16 16 16 15 14 13 11 10 10 10 10 9 10 11 11 12 12 12 13 15 15 14 12 10 8 8 12 16 18 16 13 10 9 8 8 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 11 12 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 17 20 22 22 21 20 20 19 18 16 nan
nan 10 10 10 10 9 10 10 10 10 11 11 11 10 9 9 8 8 8 8 9 9 7 4 1 -2 -2 -0 3 7 9 10 11 15 22 25 24 22 16 12 11 11 11 10 10 10 11 11 12 12 12 10 9 10 10 10 9 3 -3 -4 -3 -0 5 9 9 10 9 4 -2 -6 -6 -1 5 8 10 14 22 27 26 23 19 16 15 14 14 13 12 11 10 9 9 10 11 13 12 11 12 13 15 16 16 17 16 16 15 15 16 16 15 14 14 13 14 15 16 18 20 21 20 16 13 11 11 13 16 17 17 14 10 8 7 7 9 11 12 12 11 10 10 10 10 10 10 10 10 9 10 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 14 13 14 16 18 21 25 27 29 29 27 25 23 nan
nan 10 9 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 9 9 8 8 8 6 2 -1 -2 -1 2 6 8 10 10 14 20 23 25 23 16 11 11 11 10 10 10 10 10 11 12 12 12 11 11 11 12 12 12 7 4 4 3 5 8 9 8 6 3 -2 -7 -8 -4 2 7 9 11 16 22 25 24 22 18 15 14 13 12 11 10 10 10 9 10 11 12 12 11 10 11 11 12 13 14 15 16 16 18 19 19 19 18 18 18 19 20 23 25 27 27 26 21 16 13 12 12 13 16 18 18 14 11 9 8 9 12 13 13 12 10 10 10 10 11 10 10 10 9 9 10 11 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 13 14 15 19 24 29 32 32 31 31 31 nan
nan 10 9 8 8 9 10 10 9 9 10 11 12 12 11 10 9 9 9 8 8 8 8 7 3 -1 -2 -2 1 5 8 10 10 13 17 22 25 22 16 13 11 10 9 9 9 10 10 10 11 11 11 12 13 13 13 13 13 12 11 10 7 7 8 6 4 1 -3 -8 -9 -5 1 6 9 11 12 17 22 24 23 20 16 14 13 12 11 10 10 10 9 9 10 11 11 11 10 11 11 10 10 9 10 10 11 12 14 16 17 18 18 19 20 22 25 28 29 28 26 23 18 14 13 12 14 17 21 24 23 20 16 13 12 14 14 14 12 11 10 10 10 11 10 10 10 9 8 9 10 10 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 13 13 13 13 13 12 12 12 15 18 21 23 24 27 29 32 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
82 82 78 71 63 56 47 35 26 17 11 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 3 6 8 9 12 16 20 21 25 23 18 17 19 17 12 4 5 12 16 12 8 8 9 10 17 19 21 27 32 31 38 55 74 95 112 124 120 104 92 97 102 101 129 160 237 438 695 932 1214 1422 1441 1369 1241 1120 1008 940 912 945 981 1012 976 883 781 711 675 591 621 767
83 78 69 56 44 36 24 14 7 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 5 10 13 10 5 5 7 6 2 0 1 1 4 3 1 0 0 0 0 1 0 1 2 3 3 1 14 17 22 27 29 30 33 44 48 46 41 38 42 80 183 332 638 939 1168 1333 1376 1315 1141 1014 930 892 905 953 972 937 867 803 756 620 591 660
79 69 52 33 20 15 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 7 3 1 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 7 11 17 21 21 17 13 10 8 11 41 181 371 600 887 1142 1242 1159 1068 998 927 902 923 936 919 913 902 840 729 643 622
65 45 23 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 1 0 1 1 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 1 3 5 5 5 5 5 4 3 5 29 75 145 287 610 831 975 1056 1077 1052 1029 1005 969 907 911 928 912 840 754 713
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 0 0 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 1 1 1 1 1 2 2 2 4 8 16 52 225 412 642 857 1010 1138 1139 1082 1018 969 964 968 954 908 829 777
11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 2 13 46 103 243 423 599 791 932 1025 1047 1057 1065 1071 1070 1027 893 791
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