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 8 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 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 7 8 8 8 8 7 7 7 6 6 5 5 6 6 6 6 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 9 9 9 9 11 13 15 17 18 15 12 10 8 7 5 4 4 5 7 9 9 7 6 5 6 7 9 10 11 11 11 10 8 7 7 7 8 9 10 9 9 7 6 6 7 8 9 10 10 9 9 8 7 7 8 9 10 11 13 14 12 9 7 6 7 8 9 11 13 15 17 17 15 11 8 4 1 0 1 3 4 4 4 4 5 6 7 6 6 7 8 7 5 4 5 6 8 10 9 nan
nan 8 9 9 9 9 10 10 10 11 10 10 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 5 5 5 6 6 6 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 9 9 9 9 10 12 15 17 17 17 14 11 9 7 5 4 3 3 4 6 7 7 7 6 7 7 8 10 11 11 12 11 9 7 6 6 7 8 9 9 9 8 7 6 6 7 8 9 9 9 8 8 7 7 8 10 11 10 8 8 8 8 7 5 5 5 5 7 9 11 12 13 12 11 10 7 2 -2 -4 -3 -2 0 1 1 2 2 4 5 6 6 7 7 8 7 6 4 3 2 3 3 nan
nan 9 9 9 9 10 10 11 11 11 11 10 9 9 8 8 8 8 8 7 6 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 13 16 16 16 15 14 11 9 5 3 3 3 4 5 5 6 6 6 7 8 9 10 11 12 12 11 10 8 7 6 6 7 9 9 9 8 8 7 6 5 6 7 8 8 8 7 7 7 8 10 11 11 7 4 2 3 6 6 5 3 3 2 3 5 7 8 8 8 9 9 8 4 -2 -6 -6 -5 -3 -1 -0 -0 -0 -0 1 2 4 6 7 8 8 9 8 4 1 -1 -2 nan
nan 10 9 9 9 10 10 11 12 12 11 10 9 8 8 8 8 8 8 7 6 6 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 10 10 12 13 13 14 14 14 11 8 4 1 2 3 5 5 5 5 6 7 8 9 11 11 12 12 11 11 9 8 7 6 7 8 10 10 10 9 8 6 6 5 6 7 7 8 8 8 8 8 9 12 12 8 4 1 1 3 5 5 4 2 1 1 1 2 3 5 6 7 10 11 10 7 1 -4 -6 -6 -5 -2 -1 -0 -2 -3 -4 -2 1 4 7 9 9 11 11 9 4 -0 -3 nan
nan 10 9 9 9 10 11 11 11 11 10 9 9 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 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 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 10 11 11 10 10 10 12 14 12 9 5 2 -0 0 3 5 6 6 7 7 8 9 11 12 12 12 12 11 10 9 9 8 8 9 10 12 13 12 11 9 7 6 6 5 6 7 8 9 10 10 11 11 12 10 5 3 3 5 7 6 4 3 2 2 2 1 1 1 3 6 9 11 12 11 10 7 3 -1 -4 -4 -2 -1 -0 -1 -4 -6 -6 -2 3 7 10 11 12 13 11 7 3 -0 nan
nan 10 9 9 9 10 11 11 10 10 9 9 9 8 8 9 9 8 8 7 7 7 7 7 7 7 7 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 8 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 12 12 10 9 9 12 12 9 6 4 2 1 1 2 4 6 7 8 9 9 10 12 13 13 12 11 10 9 9 10 10 11 11 13 14 15 15 13 11 10 8 7 6 5 6 8 10 12 13 14 13 11 7 4 5 9 11 11 9 6 4 4 5 5 4 3 3 4 8 11 11 10 10 11 12 12 8 3 -1 -2 -1 -1 -2 -4 -7 -8 -4 2 8 12 14 15 14 11 7 5 5 nan
nan 10 9 9 10 10 11 10 9 9 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 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 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 9 10 10 11 12 12 10 9 10 11 8 5 4 5 6 5 4 4 5 6 7 8 9 10 11 12 13 12 11 10 9 8 8 9 11 12 13 14 15 17 16 15 14 13 12 10 8 7 7 8 10 13 15 16 14 10 7 6 10 14 15 13 11 8 7 8 9 10 9 8 7 6 9 12 11 8 7 8 12 15 15 11 5 1 -1 -2 -2 -4 -8 -9 -5 2 9 14 16 18 16 12 7 6 10 nan
nan 10 9 10 10 10 10 10 9 8 8 8 8 8 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 8 8 8 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 10 10 10 9 6 3 4 7 8 8 8 7 7 7 8 8 9 10 11 11 11 11 11 10 10 8 7 7 9 11 12 13 15 16 15 15 15 16 15 13 11 10 9 9 11 14 16 16 14 11 11 13 15 15 14 12 11 10 10 11 13 13 12 10 7 5 7 11 12 10 6 5 7 10 14 14 11 5 1 -1 -1 -3 -8 -10 -5 2 9 14 18 19 17 12 6 6 13 nan
nan 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 6 7 7 7 8 8 9 9 9 9 8 8 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 9 7 4 3 3 5 7 9 9 9 8 8 8 9 9 9 8 7 8 10 13 13 11 9 6 5 5 7 9 11 13 14 14 13 14 15 17 16 14 11 10 9 11 14 16 15 14 14 15 16 14 11 9 10 11 13 14 14 13 12 9 6 3 1 2 8 14 15 10 4 2 4 8 11 12 10 6 4 3 -0 -5 -8 -4 3 10 15 18 19 17 11 5 6 14 nan
nan 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 12 12 13 13 13 12 11 10 9 9 7 5 4 4 4 6 8 9 9 9 10 10 10 9 7 4 3 5 10 15 15 13 10 7 4 3 4 6 8 10 11 12 12 13 14 16 16 14 11 9 8 10 12 14 13 12 12 12 10 7 4 3 6 10 15 17 16 13 8 3 -0 -2 -2 -0 5 13 17 15 8 3 0 2 4 8 10 10 9 7 3 -2 -5 -2 3 9 14 17 17 15 10 5 5 14 nan
nan 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 9 9 10 10 11 11 11 11 12 12 12 13 13 13 13 14 14 13 12 11 10 8 6 6 7 8 8 9 9 9 9 11 12 12 12 10 7 3 0 1 5 11 15 16 14 11 7 4 3 2 3 4 6 6 8 10 12 13 14 15 14 12 9 8 9 10 11 11 10 9 8 6 3 1 0 3 8 13 16 15 11 5 1 -1 -2 -2 -1 3 9 15 17 14 8 2 -1 -1 2 6 10 11 9 5 0 -2 -2 2 7 12 15 16 15 11 7 7 16 nan
nan 11 11 11 10 9 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 14 14 14 13 13 12 12 12 10 7 5 7 10 12 12 13 12 11 12 13 15 14 12 7 3 -1 -1 2 6 11 14 16 14 11 8 5 3 1 1 2 3 3 4 6 9 12 13 14 14 13 11 10 10 9 9 9 10 11 10 9 6 4 3 3 5 10 13 12 9 5 3 2 1 -1 -1 0 3 8 14 18 15 9 3 -0 0 3 8 11 10 5 1 -1 -2 -1 3 9 13 15 15 13 10 11 19 nan
nan 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 12 12 12 13 13 13 13 12 12 12 13 13 13 12 11 10 11 12 9 7 7 9 11 11 10 9 9 10 13 16 16 13 9 4 -1 -2 0 4 7 11 14 16 14 11 8 5 2 1 1 3 3 3 2 3 6 8 10 12 12 12 12 12 11 11 10 10 13 15 16 14 11 8 7 5 6 9 12 13 10 8 6 5 4 2 0 -1 -1 2 8 16 20 17 10 5 3 4 7 10 9 6 2 -1 -3 -4 -1 5 11 14 16 15 14 15 20 nan
nan 12 11 9 8 8 8 8 8 9 9 10 9 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 6 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 8 8 9 10 10 10 10 10 10 11 11 12 13 13 13 14 14 13 13 12 11 11 12 12 12 11 9 8 8 9 10 9 8 9 10 8 5 2 0 4 9 14 15 12 8 5 1 -1 -0 3 7 8 10 14 16 16 13 9 6 3 2 3 5 6 6 4 3 4 5 7 9 11 11 12 12 12 12 12 12 14 15 16 14 12 10 10 9 9 10 13 14 13 11 9 7 5 3 1 -1 -2 -1 4 11 20 22 17 10 6 5 6 7 7 6 4 1 -3 -5 -3 1 8 13 17 18 18 17 20 nan
nan 12 10 9 8 8 8 9 9 9 9 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 8 9 10 10 10 10 11 11 12 13 14 14 15 15 15 14 14 14 13 13 12 12 11 10 8 6 5 6 8 9 10 10 11 9 4 -0 -3 -2 5 12 14 11 6 3 2 2 2 4 8 10 9 10 13 16 17 15 12 8 5 3 4 7 8 8 7 5 4 4 5 7 9 11 12 12 12 13 14 15 14 13 11 10 8 7 8 11 12 12 13 14 13 11 9 7 5 3 2 1 -1 -1 2 7 15 21 19 13 8 6 5 6 6 6 6 3 -1 -4 -4 -1 6 12 17 20 21 20 19 nan
nan 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 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 9 9 9 9 8 8 7 7 8 9 10 10 11 12 12 13 14 15 16 16 17 16 16 16 15 15 15 14 13 12 10 7 5 5 5 6 7 9 9 9 9 6 3 1 2 5 11 13 11 6 2 -0 1 3 5 8 11 11 10 9 11 15 18 18 15 11 7 5 6 8 8 7 6 5 5 4 4 4 6 8 11 14 13 13 14 15 14 11 8 6 4 2 3 6 10 12 12 11 11 10 9 8 6 4 4 3 2 1 2 4 9 15 16 11 8 6 6 6 7 7 7 5 1 -3 -5 -3 3 10 16 21 23 22 20 nan
nan 11 10 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 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 8 8 9 9 9 9 8 8 8 7 8 9 9 10 10 12 13 14 15 16 17 18 18 18 17 17 16 16 16 15 14 13 11 8 6 4 4 5 6 6 6 7 8 7 7 7 9 11 13 13 11 7 2 -0 0 2 4 7 10 12 11 9 8 9 13 17 19 18 15 12 10 10 9 8 6 4 4 5 5 5 3 1 3 8 12 14 12 12 13 12 11 9 8 6 3 -0 1 5 9 10 10 11 13 13 11 8 6 5 4 4 3 3 4 7 9 10 8 6 6 6 7 8 9 9 8 4 -1 -4 -4 -1 5 13 18 21 21 18 nan
nan 11 10 10 10 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 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 8 7 7 7 8 9 9 10 10 11 12 13 14 15 16 17 18 18 18 17 16 15 15 15 14 13 11 10 8 6 6 6 6 6 5 4 6 8 7 7 9 12 13 13 10 5 2 1 1 2 3 4 6 9 11 10 9 8 9 11 15 18 20 19 17 15 13 11 8 6 4 4 4 5 6 4 -1 -2 2 8 12 12 11 11 10 10 10 10 10 7 3 1 3 5 7 9 12 16 17 15 12 9 7 7 7 7 7 7 6 6 6 5 5 4 5 6 8 9 10 10 8 4 -0 -3 -2 3 10 15 17 16 14 nan
nan 10 10 10 9 9 8 8 8 8 8 8 8 8 9 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 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 7 6 6 7 8 9 10 10 11 12 13 13 14 15 16 17 17 16 15 14 13 13 13 12 12 11 10 10 9 10 10 10 10 8 6 6 9 10 7 4 5 6 8 7 5 2 1 2 4 4 3 3 6 8 9 9 9 9 9 10 13 16 18 19 18 16 14 11 9 9 8 6 5 4 5 6 2 -4 -3 3 9 12 12 12 10 9 9 10 10 9 6 4 4 4 5 7 11 16 19 18 15 12 11 10 10 11 10 8 6 5 4 4 4 3 4 5 6 7 8 9 9 7 4 1 1 3 9 12 13 12 10 nan
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nan 7 7 7 7 7 8 8 8 8 9 9 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 6 6 7 7 7 8 10 12 16 20 23 26 26 24 21 18 15 13 12 11 10 11 12 12 11 10 10 10 10 10 11 11 10 8 8 9 13 16 14 7 0 -4 -5 -2 3 5 5 5 6 7 8 9 9 7 5 5 6 7 7 8 10 12 14 13 12 9 7 6 6 9 12 15 16 14 10 6 5 4 -1 -5 -1 7 13 15 15 13 11 9 9 9 8 6 4 3 1 1 1 3 7 10 11 10 8 8 9 11 12 10 9 9 10 10 10 9 7 6 6 5 5 5 6 7 9 9 8 7 7 8 8 8 7 7 nan
nan 7 7 7 8 8 8 8 8 8 9 9 8 7 6 6 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 9 8 8 8 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 9 8 7 6 6 7 7 7 8 9 13 17 22 27 29 28 25 22 20 18 16 14 13 11 10 10 10 12 12 12 13 14 13 12 11 9 6 4 5 8 13 16 14 8 1 -3 -4 -1 2 5 6 7 8 9 11 13 13 9 5 4 5 6 7 9 12 14 15 14 11 9 7 7 7 8 11 14 16 17 14 10 6 2 -2 -5 -1 7 13 16 16 15 12 10 9 9 7 5 2 0 -1 -2 -1 1 5 7 8 6 4 5 8 11 13 13 13 13 12 12 11 10 9 8 7 6 5 5 6 7 9 9 8 6 6 5 5 5 5 6 nan
nan 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 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 8 9 9 9 9 9 10 10 11 11 10 9 8 7 7 6 7 7 7 8 8 9 11 16 21 25 28 27 23 18 15 14 15 14 13 12 10 7 6 8 10 13 14 15 16 15 13 11 8 5 3 5 8 12 14 11 7 2 -1 -1 0 2 4 7 11 12 13 13 13 11 8 5 4 5 7 9 11 14 15 15 13 10 8 8 9 8 8 9 10 13 15 16 15 11 6 1 -2 0 6 13 17 19 17 13 9 7 6 5 2 -0 -2 -2 -1 0 3 7 9 10 9 7 8 12 16 17 17 15 13 12 11 10 10 9 8 7 6 5 5 6 7 8 8 7 6 4 4 3 2 1 1 nan
nan 8 8 9 9 9 9 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 8 8 7 7 7 7 8 8 8 9 10 13 16 19 21 22 21 17 12 9 8 9 10 9 8 6 4 3 5 8 11 12 12 13 12 12 10 8 6 5 7 10 12 11 9 6 3 2 2 2 4 6 11 15 17 16 13 9 5 3 3 4 6 8 11 15 17 16 13 11 8 6 7 9 10 9 7 7 8 9 12 14 13 9 5 2 3 7 12 18 20 18 13 7 3 2 2 0 -1 -1 -0 2 4 7 10 12 14 15 14 16 18 20 19 17 14 12 11 10 10 9 8 8 7 5 4 4 5 6 8 8 8 6 6 5 4 2 -1 -2 nan
nan 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 9 9 9 8 8 7 7 7 7 8 9 10 11 12 14 14 15 16 16 15 12 8 5 5 5 6 5 4 3 3 3 3 5 8 10 10 11 12 13 12 10 9 9 10 12 12 9 7 5 4 3 4 5 8 11 14 17 18 16 10 4 0 -1 0 2 5 9 14 19 21 19 13 9 6 4 6 10 12 10 7 5 4 3 4 6 7 7 5 4 5 8 13 16 17 14 9 4 0 -1 0 1 2 3 5 7 8 9 12 15 17 18 18 18 18 18 16 14 12 10 10 9 9 8 8 8 7 6 4 4 4 6 8 9 9 9 9 10 9 7 3 -0 nan
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nan 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 12 12 12 13 13 13 13 15 19 25 30 31 27 18 11 8 7 8 10 12 14 15 14 12 11 11 11 12 12 11 10 9 9 11 14 17 21 23 21 17 13 10 8 6 6 6 8 10 11 11 9 8 8 9 10 10 9 8 6 5 5 4 3 2 2 1 2 4 8 11 14 15 15 14 14 15 15 14 12 10 8 8 8 8 9 9 9 10 10 10 10 11 10 10 9 9 12 15 16 14 13 11 10 9 8 8 8 9 8 7 5 3 3 5 7 9 10 9 9 9 10 10 9 9 9 9 10 10 11 11 11 10 10 9 7 5 5 5 6 6 6 5 4 5 8 10 11 12 13 14 14 14 14 15 14 13 9 5 1 2 5 10 15 21 25 27 25 21 nan
nan 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 12 12 12 13 15 18 24 28 29 26 18 10 7 6 8 10 12 14 15 13 12 11 11 10 10 11 11 12 11 11 12 15 18 18 16 12 9 7 5 4 4 4 4 5 7 9 10 9 9 10 11 12 12 12 11 9 8 8 7 6 4 2 0 1 5 8 10 12 12 11 10 10 13 16 16 14 11 8 7 8 9 9 10 10 10 10 10 10 10 10 9 8 9 12 15 14 12 11 11 11 11 10 9 9 9 8 7 5 4 3 4 6 8 9 8 7 7 7 8 9 10 11 10 8 7 7 8 9 9 9 9 8 6 6 7 8 8 7 6 6 7 9 11 12 13 14 15 16 17 17 16 14 11 7 2 -2 -0 3 8 12 17 22 26 25 21 nan
nan 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 9 9 9 9 9 9 8 8 7 8 8 9 10 11 12 12 12 12 13 15 18 23 28 29 26 20 10 6 7 8 11 14 16 17 14 12 11 10 10 10 11 11 11 10 10 11 13 15 13 9 6 3 2 2 3 4 5 5 6 7 9 11 11 10 10 10 11 11 11 12 11 11 11 10 10 8 6 5 5 7 8 9 9 9 7 5 6 9 14 16 15 13 9 7 8 9 10 10 10 9 9 9 8 8 8 8 7 8 11 13 13 13 13 14 14 12 9 9 8 8 7 6 6 5 5 5 6 8 9 8 6 6 7 8 10 11 12 11 9 7 7 8 8 8 9 8 7 6 5 6 7 9 11 12 12 12 12 13 13 14 15 17 19 19 19 17 14 10 6 2 -1 1 4 8 12 16 21 24 24 21 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 7 8 9 11 11 12 12 12 13 14 18 23 29 32 30 22 13 6 6 8 11 15 17 18 16 13 11 11 11 11 11 11 10 9 9 10 12 13 12 8 5 2 1 3 6 9 11 10 10 12 13 14 13 10 8 7 8 8 9 9 10 11 11 12 12 12 12 11 10 8 7 6 6 7 5 3 3 6 10 14 15 14 11 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 12 14 15 16 15 13 9 8 8 9 9 8 6 6 7 8 8 9 9 9 9 7 7 7 9 10 11 11 11 10 9 9 9 9 9 9 8 7 5 3 3 5 8 12 16 18 18 17 16 15 16 17 19 20 19 17 15 13 9 5 2 2 4 7 11 14 17 21 22 22 19 nan
nan 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 10 11 11 12 12 13 14 18 24 30 35 34 25 15 8 6 7 10 13 17 19 18 15 13 11 11 11 11 12 11 10 9 10 12 14 14 11 7 5 5 7 11 15 17 16 15 17 18 18 15 11 9 8 8 8 8 8 9 9 9 10 10 12 14 14 12 10 7 6 6 7 7 7 5 5 6 9 13 15 14 12 10 10 9 9 9 8 8 8 8 9 10 11 11 11 11 12 12 13 13 11 9 7 8 10 11 10 8 6 7 10 12 12 11 9 8 7 7 7 7 8 10 11 11 11 11 11 10 9 9 9 10 9 8 6 4 3 4 7 10 14 17 18 18 17 17 18 20 20 19 16 13 11 8 5 2 1 3 6 9 13 15 19 22 21 19 17 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 9 10 11 11 12 12 13 14 17 24 30 34 35 26 16 8 5 6 8 11 14 17 18 17 14 12 11 11 11 12 12 11 10 11 13 15 15 12 9 8 9 11 14 17 17 16 16 17 18 18 15 12 12 13 13 12 11 9 8 7 6 6 7 9 11 12 12 12 11 10 9 9 10 10 9 8 6 7 10 13 14 13 11 10 9 9 9 8 7 7 8 9 10 12 12 13 12 11 10 9 9 9 9 9 10 11 10 9 8 8 10 12 13 12 10 8 6 5 5 5 6 7 8 9 10 10 11 11 10 10 10 11 13 13 12 10 8 6 6 7 10 12 15 17 18 19 20 21 22 21 17 12 7 3 -0 -2 -2 1 4 8 11 14 17 20 21 20 18 16 nan
nan 10 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 12 12 13 13 14 17 22 29 34 33 27 15 7 4 4 5 8 11 14 16 16 15 12 11 10 10 11 12 12 11 11 12 14 15 12 10 9 10 11 13 13 13 12 11 11 12 12 11 10 10 13 15 15 13 11 8 6 5 4 5 7 8 10 11 13 14 13 11 8 7 7 9 10 10 9 9 11 11 10 9 8 9 9 9 8 7 8 8 9 10 11 11 11 10 10 9 9 10 10 11 12 11 10 9 8 9 11 13 14 13 11 8 6 4 4 4 5 6 6 7 7 8 9 10 10 10 10 11 13 15 15 13 11 8 6 6 7 10 14 17 19 21 21 21 21 21 19 15 9 2 -4 -7 -5 -1 3 7 10 12 14 16 18 19 18 17 15 nan
nan 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 9 9 9 9 10 9 9 9 9 9 10 12 12 13 14 14 16 20 27 32 32 26 14 6 5 5 6 8 10 12 14 15 14 13 11 10 9 10 11 11 11 10 11 13 15 13 10 9 9 9 9 8 8 8 7 7 7 6 5 5 6 8 11 13 13 11 9 7 6 6 7 9 10 11 11 12 12 11 7 3 1 2 4 8 11 11 10 9 9 9 7 7 7 7 8 8 8 8 9 10 11 11 10 9 8 9 10 12 14 15 15 13 11 9 8 8 10 13 15 15 13 11 9 6 4 5 7 8 9 8 7 5 6 7 8 9 9 10 11 12 13 13 11 8 5 3 2 5 10 16 20 23 23 22 18 16 15 14 11 5 -3 -9 -9 -3 4 8 10 12 13 13 13 14 15 16 16 16 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 14 14 15 20 25 30 31 25 16 10 9 9 10 10 12 14 14 14 14 13 12 11 10 9 9 9 9 10 11 13 15 14 12 10 8 7 7 6 6 6 7 7 6 6 5 3 4 4 6 8 9 9 8 7 7 9 11 14 15 14 11 9 7 5 3 0 -1 1 3 5 7 8 8 7 8 8 6 5 4 5 6 7 8 9 10 11 12 11 9 8 8 9 11 15 18 18 16 13 10 7 7 8 11 14 15 14 13 12 11 9 7 8 10 12 13 11 7 4 5 7 9 10 9 9 9 9 9 9 8 6 4 2 1 4 9 16 22 25 23 19 12 8 7 7 6 2 -6 -10 -8 -1 7 12 13 13 12 11 10 10 11 14 16 16 nan
nan 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 12 13 13 14 19 24 29 32 27 19 13 11 11 11 11 12 13 15 15 15 14 14 13 11 10 9 8 8 8 10 13 15 15 13 10 9 8 7 6 5 6 7 8 8 8 7 5 4 4 4 5 5 5 5 6 9 12 16 19 20 15 10 5 2 1 1 2 3 4 5 6 6 5 5 6 7 7 6 5 5 6 7 8 9 10 12 13 13 12 10 9 9 11 13 16 18 18 14 10 7 7 7 9 11 14 16 15 13 11 11 10 10 11 13 14 14 10 6 4 5 8 11 11 10 9 7 6 6 6 6 6 7 7 6 7 11 16 22 24 22 15 7 2 2 2 3 1 -6 -9 -5 1 9 13 14 14 12 10 9 9 10 12 15 16 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 13 17 24 30 34 32 22 14 10 8 8 8 9 11 13 15 17 17 17 16 15 13 12 10 9 9 10 13 16 16 14 11 10 9 8 7 6 7 8 9 9 9 8 7 6 6 6 6 4 4 5 7 10 14 17 20 19 14 7 3 1 2 4 7 9 9 10 9 8 6 6 7 8 8 8 8 8 9 10 10 11 12 13 14 14 12 11 10 11 12 14 16 17 15 12 9 7 7 8 9 10 14 16 17 16 14 12 11 11 12 13 13 12 8 4 4 6 10 13 13 12 10 5 3 3 5 7 9 10 11 11 10 13 17 21 23 20 11 4 -1 -0 2 3 2 -3 -6 -1 4 9 13 13 12 11 11 11 11 11 12 13 14 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 16 24 31 35 34 23 12 8 6 5 6 7 9 12 16 18 20 21 20 20 18 16 14 13 12 13 15 19 19 18 14 11 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 7 9 10 12 14 15 16 15 10 5 4 5 9 13 14 14 13 13 11 10 8 8 10 11 11 10 10 9 10 10 11 12 13 13 14 13 11 9 9 10 12 13 14 13 11 11 11 10 10 8 7 8 10 13 16 17 17 14 11 9 9 10 10 9 6 3 4 8 11 15 17 16 11 5 1 2 4 8 11 12 13 13 13 15 18 21 22 19 10 3 -0 0 3 5 4 -0 -2 1 5 8 11 11 10 11 12 13 13 12 12 13 13 nan
nan 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 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 13 17 23 31 36 34 24 13 7 5 5 6 7 9 12 16 19 20 21 20 19 20 18 17 16 14 15 18 21 23 21 18 14 11 10 10 10 10 11 11 11 10 10 10 11 12 12 13 13 12 12 13 13 14 13 11 9 6 4 5 10 15 19 19 16 14 12 11 10 10 11 12 12 11 9 8 7 7 8 9 10 11 11 11 10 9 8 8 8 9 10 10 9 9 10 12 13 11 8 5 5 7 9 12 14 16 14 9 6 6 8 10 9 7 4 5 9 13 17 20 19 13 6 1 1 3 6 8 11 13 13 13 14 17 19 21 17 9 4 1 2 5 7 6 3 1 3 6 8 10 9 9 10 12 14 14 14 13 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
25 28 31 34 36 39 40 40 38 35 31 29 28 30 36 29 31 41 46 38 24 17 20 16 13 11 9 8 9 8 7 9 10 11 12 12 11 10 9 10 11 14 18 18 20 21 22 23 23 21 20 20 20 19 19 19 19 19 19 17 16 15 14 14 14 13 13 13 11 11 10 9 8 7 8 8 9 9 7 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 38 132 211 195 106 29 2 0 0 0 0 1 15 12 8 2 0 0 2 8 22 33 36 27 14 5 1 7 36 53 75 109 131 116 85 78 88 126 189 257 304 323 350 427 470 519 692 753 713 685 636 657 686 864 906 878 893 978 1022 878 414 152 31 1 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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