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 5 6 6 6 6 6 6 6 5 4 4 4 4 5 6 6 6 6 5 4 5 6 7 7 5 3 3 5 10 17 24 30 31 27 20 13 8 6 6 6 7 7 6 5 5 4 4 4 4 5 5 6 8 8 7 6 5 4 3 3 3 4 5 7 9 10 9 10 10 10 9 9 9 9 9 8 7 5 5 5 6 7 8 11 15 20 22 22 20 15 9 4 3 4 6 6 7 6 6 7 7 8 9 9 10 11 12 11 9 6 4 4 5 5 5 6 8 10 11 11 10 9 7 5 4 3 4 5 6 8 9 10 10 9 7 7 7 7 7 7 7 7 7 5 4 5 6 7 8 9 13 18 18 13 10 8 8 10 12 13 10 7 5 4 3 2 2 4 5 5 4 2 2 3 5 6 7 7 8 8 9 10 11 11 11 11 10 10 9 nan
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nan 11 13 12 11 9 9 9 9 9 10 11 11 10 9 7 6 4 3 2 2 4 6 7 8 9 10 9 7 6 6 7 9 12 15 18 21 20 15 11 9 11 12 13 13 11 8 2 -1 1 5 8 8 6 4 4 5 7 10 11 11 9 7 6 6 8 10 11 11 10 7 4 4 6 7 7 4 2 1 4 7 9 9 9 9 9 10 11 11 10 8 7 5 3 2 4 9 13 15 17 18 18 15 9 5 4 5 7 8 8 7 7 10 13 15 14 12 9 8 8 10 13 17 19 18 16 14 14 13 12 10 8 5 5 6 9 10 12 12 9 6 5 5 10 14 14 12 10 10 10 9 9 8 7 5 5 5 7 9 11 11 8 5 6 8 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 15 16 16 16 15 15 14 nan
nan 10 11 11 10 9 9 8 8 8 9 9 8 7 6 6 6 5 4 3 4 5 7 7 8 9 10 10 8 6 6 9 13 17 19 21 22 20 15 11 10 12 14 14 13 10 7 2 -0 3 7 10 9 7 6 7 7 7 8 8 9 9 8 7 7 7 6 6 7 9 8 5 4 6 9 10 7 3 2 4 7 9 10 9 9 9 10 10 10 10 9 8 7 5 3 5 9 13 15 17 17 16 12 7 4 3 5 7 8 7 5 4 6 10 14 15 10 6 4 4 7 12 17 19 19 18 18 17 16 14 11 6 2 -1 -1 2 5 7 8 6 4 4 5 7 10 10 9 10 9 9 8 8 8 7 7 6 6 7 8 8 6 3 0 1 4 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 13 15 15 15 15 15 14 nan
nan 6 7 7 8 8 7 7 7 8 8 8 6 5 5 6 7 6 5 4 5 6 7 9 10 11 12 11 8 7 8 10 14 17 19 21 21 20 15 11 10 11 13 12 11 8 6 2 0 3 7 8 8 7 8 10 10 8 7 7 8 9 9 7 6 5 3 3 6 9 8 6 4 6 8 9 6 3 3 6 8 10 10 10 9 9 10 10 10 10 10 10 9 7 6 7 10 12 13 14 14 12 9 6 5 4 6 8 10 9 6 4 5 9 14 15 9 2 -1 -1 2 7 13 17 17 16 14 13 13 14 13 10 6 1 -2 -1 1 4 4 3 3 4 6 6 5 5 7 8 8 8 6 5 6 6 8 9 10 10 10 10 8 5 4 3 5 6 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 10 11 13 13 14 14 14 14 nan
nan 4 4 4 5 5 4 5 6 8 8 7 5 4 5 6 7 6 5 5 5 7 9 11 12 13 11 9 7 6 7 10 13 16 18 19 20 20 16 11 10 9 9 9 7 7 6 4 2 3 6 6 6 6 9 13 14 10 8 8 10 10 9 7 6 5 3 4 6 8 8 6 6 7 7 6 2 2 5 8 10 11 11 10 10 10 10 10 11 11 11 11 10 8 6 6 8 10 11 12 12 11 10 8 7 6 7 10 12 12 9 6 6 11 15 15 11 3 -2 -5 -4 0 6 11 11 10 9 9 10 12 15 16 16 11 6 4 5 5 5 5 5 6 5 2 -1 -0 3 5 6 6 4 4 6 8 11 13 14 15 15 14 13 11 9 7 7 8 8 9 8 7 6 6 6 6 6 6 5 5 5 5 5 6 7 9 10 11 12 12 13 13 nan
nan 6 4 3 2 2 2 3 6 8 8 6 4 4 5 6 7 6 5 5 6 9 12 13 14 12 10 7 5 5 7 9 12 14 16 17 19 19 16 12 9 7 6 5 5 6 8 6 4 3 5 5 5 6 10 16 16 12 10 10 10 9 8 8 7 6 5 5 6 6 6 6 7 9 7 4 2 2 6 9 11 11 11 10 10 11 11 11 10 11 11 11 11 9 6 5 6 8 9 10 12 13 13 12 9 6 6 9 12 12 10 7 7 10 13 15 13 8 1 -4 -6 -4 -1 3 6 8 10 11 11 11 13 17 20 19 14 11 10 10 10 10 9 7 3 -2 -4 -2 1 3 4 4 4 6 9 13 14 16 17 18 18 19 18 16 12 10 9 9 9 9 8 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 8 10 10 11 11 12 nan
nan 8 5 3 1 -1 -0 2 5 7 7 6 5 6 7 7 7 7 7 7 8 12 15 16 14 11 7 5 4 5 7 9 12 14 14 16 18 19 17 13 8 5 3 2 3 5 8 8 6 5 4 5 7 9 11 14 14 13 14 14 11 8 7 7 7 6 7 8 8 5 4 5 7 10 9 6 4 4 6 8 11 11 11 10 11 12 12 11 10 10 10 11 11 10 7 5 6 7 8 9 10 13 15 14 10 5 2 4 8 10 10 8 7 7 8 10 11 10 6 1 -2 -4 -5 -4 -0 4 9 11 10 9 9 12 15 15 14 12 12 13 14 13 12 9 4 0 -1 0 2 3 3 4 5 8 12 15 16 17 18 19 21 22 21 17 12 10 9 9 9 8 7 5 4 4 4 4 4 5 6 6 6 6 6 6 7 7 8 9 10 10 11 11 nan
nan 8 5 2 -0 -2 -2 1 5 8 9 8 8 8 9 9 9 8 8 9 11 15 17 16 13 9 6 5 4 5 7 9 11 13 14 15 18 19 18 13 9 4 1 -1 -1 1 6 9 8 6 5 7 10 12 11 10 10 13 16 17 15 11 8 7 6 5 8 11 11 7 4 4 7 10 11 9 7 5 6 8 11 11 10 10 10 12 12 11 9 8 8 10 11 10 8 7 8 8 8 8 9 13 17 16 10 2 -2 -2 3 8 10 9 6 4 3 5 7 9 8 6 3 0 -4 -7 -6 -3 0 4 6 6 6 6 7 8 9 10 11 12 13 13 12 11 8 5 4 3 4 4 4 5 6 7 10 12 13 14 16 19 21 22 19 15 11 9 8 8 8 7 6 5 4 3 3 3 4 5 6 6 7 7 8 8 8 8 8 9 9 10 11 11 nan
nan 8 5 2 -1 -3 -2 1 5 9 10 10 11 11 11 11 11 10 11 12 14 15 16 13 10 8 6 6 6 6 7 9 11 12 14 16 19 20 18 13 8 4 -1 -4 -5 -3 2 8 11 10 9 10 12 13 10 8 9 12 16 18 17 14 11 7 4 4 9 13 13 10 5 5 7 10 11 11 9 8 8 9 11 11 10 9 10 12 12 11 9 7 7 8 10 10 9 9 9 9 8 7 7 10 15 16 10 3 -1 -1 3 8 10 9 6 3 2 3 5 8 9 8 7 6 3 -1 -4 -5 -4 -1 2 5 6 4 3 4 5 7 8 8 7 7 9 10 10 9 8 7 6 6 6 6 6 6 6 6 7 9 11 14 16 17 13 10 8 7 7 7 7 6 5 4 3 3 3 4 5 5 6 7 7 8 8 9 9 9 10 10 10 11 11 11 nan
nan 9 6 3 -0 -2 -1 2 7 10 11 12 13 12 12 12 12 13 14 15 14 13 12 10 7 6 7 7 7 6 7 9 10 11 13 17 20 21 18 13 8 4 0 -3 -5 -4 2 9 13 13 12 11 11 11 9 7 9 13 16 16 15 13 10 7 4 5 9 12 13 11 7 5 7 9 11 11 10 9 10 10 10 10 9 9 10 11 12 12 9 7 6 6 8 9 9 9 9 9 8 6 5 7 11 14 12 8 4 3 5 8 9 8 5 4 4 5 6 8 9 9 10 11 10 8 6 4 3 4 5 8 8 6 4 4 4 3 2 1 1 2 5 9 12 13 13 12 10 8 8 8 7 6 4 4 3 3 5 7 9 10 8 7 7 7 7 6 6 5 4 4 4 4 4 5 6 6 7 7 8 9 9 10 11 11 11 11 11 11 11 11 nan
nan 9 6 2 -1 -1 1 5 9 11 12 13 14 13 12 12 13 14 15 15 14 12 10 8 6 5 5 5 5 6 6 7 8 10 13 17 20 20 17 12 8 5 3 1 -1 -1 4 10 15 16 14 12 10 9 9 9 12 15 16 15 11 7 6 6 7 8 10 11 11 10 9 6 6 7 9 9 9 9 9 9 10 10 10 9 10 11 12 13 11 9 7 6 6 8 8 7 7 8 7 5 4 4 7 11 12 11 8 5 5 6 7 5 5 6 8 10 10 10 9 9 10 13 14 15 14 12 10 9 10 11 11 9 7 6 5 3 0 -1 0 2 5 8 12 15 16 15 14 12 11 10 9 7 5 4 2 2 3 5 7 8 9 9 8 8 7 5 5 5 5 5 6 6 7 7 7 8 8 9 9 10 11 11 12 12 12 12 12 12 12 12 nan
nan 9 4 1 -1 -1 2 6 9 11 12 13 14 14 12 12 12 12 12 13 12 11 9 7 5 3 1 1 2 4 5 7 8 10 13 16 17 16 13 9 7 5 5 4 4 3 6 11 14 15 14 11 9 9 10 12 15 16 16 14 10 5 3 5 8 9 10 10 10 10 9 8 7 8 9 8 8 7 7 7 9 12 12 10 10 11 12 13 13 11 9 7 6 6 6 6 6 6 6 5 4 5 8 10 11 10 8 6 5 6 6 5 5 8 11 15 17 15 12 10 10 12 15 17 17 15 12 10 10 11 12 11 10 9 8 7 5 5 5 5 7 10 13 15 16 16 14 13 12 11 10 8 5 3 3 3 5 8 10 11 12 11 10 8 7 6 6 6 7 8 8 9 10 10 9 9 9 10 11 11 12 13 12 12 12 12 12 12 13 13 nan
nan 7 2 -1 -1 -0 3 6 8 9 11 13 14 14 13 10 9 9 9 10 10 10 8 6 4 1 -0 0 2 3 5 6 8 11 13 14 15 12 8 5 3 3 3 3 4 5 8 12 13 13 12 10 9 9 10 13 15 15 14 12 10 6 4 6 8 9 9 9 9 9 9 8 7 8 9 9 9 7 6 6 10 14 16 13 10 11 13 14 14 13 11 9 8 7 7 6 6 6 7 6 7 9 11 12 11 8 6 5 5 6 6 6 6 9 12 17 21 21 18 14 12 12 13 15 16 15 13 10 9 10 11 11 10 9 9 10 9 7 5 4 6 10 14 17 17 14 12 12 11 9 8 6 5 3 4 5 9 12 14 15 15 13 11 9 8 8 9 9 10 11 11 12 12 11 10 9 9 10 11 12 13 14 13 12 12 12 12 12 12 13 nan
nan 4 0 -1 1 3 5 6 6 7 10 13 14 14 11 9 7 7 8 9 8 8 7 5 4 3 3 4 5 5 5 6 7 8 10 11 11 9 5 2 -0 -1 -1 1 3 6 9 13 14 13 11 10 9 8 9 11 12 13 13 11 10 8 7 7 8 8 9 9 9 9 8 7 7 8 9 10 10 9 8 9 13 18 18 15 12 12 13 14 14 13 11 9 9 8 8 8 8 9 9 9 10 14 14 13 10 6 2 0 1 4 7 8 7 8 10 14 19 23 22 19 16 14 13 13 13 12 12 10 9 11 11 9 7 6 6 7 6 4 2 2 4 8 12 14 14 12 10 10 8 6 5 4 4 3 4 7 13 18 20 21 20 17 14 11 11 11 12 12 12 13 13 13 12 10 9 8 8 9 11 13 14 13 12 12 11 11 11 11 11 12 nan
nan 3 1 2 6 8 9 8 6 7 10 14 15 13 10 7 6 7 8 8 8 7 6 6 6 7 9 10 10 7 6 5 6 7 8 9 9 7 5 2 -1 -2 -2 1 4 8 12 15 16 14 12 10 9 9 9 9 10 11 12 12 11 9 8 8 8 8 8 8 9 8 8 7 8 8 9 10 11 11 12 13 16 20 19 16 13 13 14 14 14 11 9 8 8 8 8 8 8 9 10 12 15 17 16 14 10 6 0 -5 -4 1 6 9 10 9 10 11 14 17 19 19 18 17 15 12 10 8 8 8 8 9 10 9 6 4 3 3 2 1 1 3 5 7 7 8 8 8 8 8 6 4 3 2 2 2 4 9 14 21 26 27 26 21 15 12 11 11 11 11 11 11 11 11 10 8 6 5 5 7 9 10 11 10 10 9 9 9 9 9 10 11 nan
nan 4 5 8 11 13 13 11 8 7 9 13 14 12 9 7 6 6 7 8 7 7 8 9 10 13 14 14 12 8 7 6 7 9 11 11 11 9 7 4 2 1 2 5 7 11 15 17 18 16 13 11 10 10 10 9 9 10 12 12 11 9 8 8 8 7 7 7 8 9 8 8 8 9 9 9 11 12 13 14 16 19 19 16 13 12 13 14 13 10 7 6 6 6 6 6 6 6 10 14 16 17 17 15 11 7 2 -4 -3 3 8 12 13 13 11 10 9 9 11 14 16 17 16 13 9 7 7 7 8 7 8 8 7 6 4 3 2 2 4 6 7 6 4 2 1 2 3 3 3 2 1 -0 -1 0 3 8 12 17 22 24 23 18 12 9 8 8 7 7 6 6 6 6 5 3 1 1 2 4 5 5 5 5 5 5 6 6 6 7 8 9 nan
nan 7 9 12 15 15 15 12 8 6 8 11 13 12 10 7 6 6 6 7 7 7 9 12 15 17 17 16 13 12 10 9 10 11 13 15 16 15 13 11 9 8 9 10 12 15 18 21 22 20 15 11 9 9 9 10 10 11 12 12 11 9 8 8 8 7 7 8 8 9 8 8 9 10 9 9 9 9 10 11 14 18 19 16 14 12 12 13 12 9 7 5 5 4 5 5 5 5 7 10 12 14 15 15 13 10 6 1 1 6 12 15 15 13 10 7 6 6 6 9 12 13 13 12 10 8 8 9 10 10 9 8 8 8 7 5 4 3 4 5 5 3 0 -1 -1 1 1 1 1 1 0 -1 -1 -0 2 5 7 9 10 11 10 7 4 3 2 2 1 1 1 1 2 2 1 -1 -2 -2 -0 1 2 2 2 2 2 2 3 4 5 6 7 7 nan
nan 6 9 12 14 15 14 11 8 6 7 10 13 13 11 8 6 6 6 6 6 7 9 12 15 17 17 16 15 16 16 14 13 12 13 16 18 19 19 18 16 15 14 15 16 18 21 24 26 25 21 15 10 8 9 11 12 13 13 12 11 9 7 8 8 8 8 9 9 8 8 8 10 12 11 10 7 6 5 7 11 16 18 16 14 13 12 12 12 10 8 6 5 5 6 7 8 7 5 5 7 9 11 13 12 12 9 5 4 9 14 16 15 12 9 8 8 9 9 9 9 10 10 9 9 9 9 10 11 12 12 12 10 9 8 6 5 3 2 1 0 -1 -1 -0 3 6 7 7 6 4 2 -0 -1 -0 1 1 0 -1 -3 -4 -5 -5 -4 -3 -3 -3 -2 -2 -1 0 1 1 1 -0 -0 0 1 2 3 4 3 2 1 1 2 3 4 6 7 7 nan
nan 5 8 10 13 14 13 11 8 6 7 10 15 15 13 10 8 7 7 7 7 7 7 9 12 14 14 13 15 17 18 18 16 13 12 13 16 18 19 19 18 17 16 17 19 20 21 24 27 27 25 19 13 10 10 12 13 13 12 11 10 9 8 7 7 7 7 8 9 8 7 7 10 13 13 11 7 4 3 6 11 15 16 16 15 13 12 12 11 10 9 9 9 9 11 13 13 10 6 5 7 9 9 9 9 9 8 6 6 10 14 15 14 13 12 13 15 15 15 14 11 10 9 9 9 9 9 9 10 11 12 13 12 11 9 7 4 2 0 -1 -1 -0 1 2 6 11 15 16 14 9 3 -0 -1 -1 -1 -2 -5 -8 -9 -10 -11 -10 -8 -5 -3 -2 -1 -0 1 3 4 5 5 5 5 5 6 7 7 7 6 4 3 2 2 3 4 6 8 8 nan
nan 5 9 12 13 14 14 12 10 8 8 12 15 17 15 13 10 8 8 7 7 7 7 8 9 10 11 10 11 14 15 16 15 13 12 12 13 15 16 15 15 14 15 17 19 20 21 22 23 24 23 21 17 14 13 13 12 11 11 10 10 9 7 5 4 4 6 9 11 11 9 8 9 11 12 11 7 4 3 6 10 13 14 14 14 13 12 11 11 11 11 12 14 16 18 18 16 12 8 8 10 11 10 9 8 8 7 6 7 9 10 10 11 13 15 17 17 18 17 17 15 13 11 10 9 9 9 9 10 10 10 11 11 12 11 9 6 3 1 0 1 2 3 4 7 11 14 17 16 10 4 0 -1 -2 -2 -3 -5 -7 -9 -8 -7 -5 -3 -1 1 2 2 3 5 6 8 9 9 9 10 10 11 11 11 10 8 6 5 4 4 3 4 7 9 10 nan
nan 8 11 14 17 17 16 14 12 11 11 13 14 15 14 13 11 10 8 7 7 7 7 9 10 10 10 9 10 11 12 12 11 10 10 12 13 14 14 13 12 11 13 16 18 18 18 17 17 17 19 20 20 18 15 12 10 9 9 9 9 8 7 5 2 3 6 11 15 16 12 9 8 8 9 9 6 3 2 5 9 11 12 12 12 12 11 11 10 11 12 15 18 20 21 20 17 13 11 10 10 11 11 10 9 9 8 6 6 5 4 4 6 8 11 13 12 12 12 13 14 14 12 10 8 7 8 10 10 10 9 8 9 10 10 10 8 5 3 2 2 2 4 5 7 9 10 11 11 7 4 1 -1 -2 -2 -2 -3 -3 -3 -1 0 2 3 4 4 4 4 5 7 8 9 10 10 11 11 12 13 13 13 11 9 8 7 6 6 5 7 9 11 11 nan
nan 9 10 14 17 19 18 17 15 14 14 14 12 11 10 10 10 9 9 8 7 7 8 10 10 10 9 10 11 12 11 10 8 7 9 12 14 15 14 12 10 10 11 14 15 15 14 14 13 14 16 19 20 19 16 12 10 8 7 7 7 7 7 6 4 4 8 14 19 20 15 10 8 7 7 7 4 2 1 4 7 9 11 12 12 12 11 10 11 12 14 16 18 18 18 16 13 10 8 7 8 9 10 10 10 10 9 6 4 1 -0 -2 -1 2 4 5 4 4 6 7 9 10 9 6 5 5 8 10 11 11 10 9 9 10 10 10 9 8 6 4 3 3 5 6 7 8 8 7 6 5 5 4 3 1 -0 0 1 2 3 4 5 6 6 5 5 4 5 6 7 8 9 10 11 11 11 12 13 13 13 12 11 10 9 8 7 7 10 12 13 13 nan
nan 9 8 10 13 16 17 17 17 16 15 14 11 9 8 8 8 9 9 8 8 7 8 8 9 9 8 9 11 12 11 9 8 7 8 11 13 14 14 12 10 9 9 11 12 12 12 12 13 14 16 18 19 19 17 13 10 8 7 7 7 8 8 8 8 9 12 18 21 21 16 11 9 9 8 6 3 1 1 4 6 9 11 13 13 12 11 11 12 15 16 16 14 12 11 10 9 7 6 6 7 7 7 7 8 9 9 6 3 1 -1 -2 -2 -1 -1 -1 -1 0 2 5 6 7 6 3 3 4 5 7 8 10 11 11 11 11 11 10 10 9 8 6 4 4 5 6 7 7 7 6 5 6 7 8 8 7 6 5 5 6 7 7 7 6 6 5 4 4 5 6 7 8 9 10 11 11 12 12 13 13 13 12 12 11 11 10 8 8 10 12 13 13 nan
nan 9 8 8 8 10 12 13 14 14 13 12 10 9 8 7 7 7 8 8 8 7 7 6 6 6 6 7 10 11 10 9 8 8 8 9 10 11 11 10 9 8 8 9 11 12 12 12 13 14 16 18 19 19 18 16 13 10 9 8 9 9 9 9 10 12 16 19 21 18 13 10 11 11 10 6 3 1 3 5 7 10 12 14 14 13 12 12 14 16 15 13 8 6 5 7 8 9 9 10 10 9 7 6 6 7 8 7 5 4 2 1 1 1 0 0 0 2 4 6 7 6 4 1 1 1 3 4 5 7 10 11 12 12 11 10 9 8 6 3 2 2 4 5 7 7 6 6 6 6 7 9 11 11 10 8 7 6 7 7 6 5 4 4 4 5 6 7 8 9 10 10 11 12 12 13 14 14 14 14 14 13 12 10 9 8 9 11 11 11 nan
nan 8 7 7 7 7 7 8 9 9 10 9 8 8 8 7 6 6 7 8 7 7 6 6 5 5 5 6 8 9 9 9 9 9 9 8 8 9 9 9 9 8 8 9 11 13 13 12 12 13 14 17 19 19 18 17 16 13 11 10 10 9 9 10 11 14 16 18 17 13 9 8 10 11 9 6 4 4 5 6 8 10 12 13 14 13 12 13 13 13 12 9 5 4 6 8 10 11 13 13 13 12 9 7 7 7 8 7 6 6 6 6 5 5 5 5 5 5 7 8 8 6 3 1 0 1 3 5 6 7 8 9 10 10 11 10 8 6 3 1 1 2 4 5 6 6 4 4 4 5 6 8 9 9 8 6 5 5 5 5 4 4 3 4 5 6 8 9 10 10 11 11 12 13 13 14 15 15 16 16 16 15 14 12 10 9 9 11 12 13 nan
nan 6 6 6 6 7 7 7 7 8 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 5 5 6 8 9 10 10 9 9 9 8 7 7 8 9 9 10 10 11 13 15 14 12 10 9 11 14 17 18 18 17 16 15 13 12 11 9 9 10 12 14 15 16 14 10 8 8 8 8 7 6 5 6 7 7 9 9 10 11 12 12 12 12 12 10 8 6 5 6 8 10 11 12 13 14 13 13 11 9 8 9 8 8 7 6 7 8 9 9 9 8 8 8 8 8 7 5 3 3 4 6 8 9 10 9 8 7 8 8 9 9 7 5 3 2 3 4 6 6 5 3 1 -0 0 1 2 3 4 3 2 1 2 3 3 3 3 4 4 5 7 8 10 11 12 12 12 12 13 14 15 15 16 16 17 18 18 17 16 14 12 12 12 14 17 19 nan
nan 5 4 5 6 7 8 9 10 10 11 10 9 8 6 5 6 6 7 7 6 6 6 6 6 6 6 8 9 10 11 10 10 9 8 6 6 6 7 9 10 11 12 13 15 16 15 13 10 7 7 10 12 14 15 15 15 15 15 14 11 9 9 10 11 13 14 14 13 10 9 8 7 6 5 5 6 7 6 7 8 8 8 8 9 10 11 11 11 9 7 6 7 8 9 10 11 12 12 13 13 12 11 10 9 9 9 8 8 7 7 9 10 11 11 10 10 9 8 7 6 5 5 6 9 11 11 10 10 9 8 8 7 8 8 9 8 6 5 6 6 7 7 6 4 1 -2 -3 -3 -3 -2 -1 -0 -0 -1 0 2 3 4 4 5 5 6 8 10 11 13 13 13 13 13 13 14 15 16 16 17 18 19 20 20 19 17 16 15 15 16 18 21 21 nan
nan 5 5 6 7 9 11 13 14 16 18 18 16 14 11 9 7 7 8 7 7 6 6 7 7 8 9 10 11 11 11 11 10 8 6 4 4 4 6 8 9 11 12 13 14 16 16 14 11 7 4 4 7 9 11 13 14 15 16 15 12 10 10 9 10 10 11 12 12 10 9 7 6 4 4 6 6 6 6 6 6 6 6 5 6 6 7 9 9 9 9 8 8 8 8 9 11 12 13 13 12 11 10 9 8 9 10 10 9 8 7 8 9 9 10 10 10 9 9 9 8 8 8 9 10 11 10 9 8 8 9 9 9 8 8 9 8 8 8 8 8 8 7 6 4 2 -1 -1 -1 -0 0 1 1 1 2 3 4 5 6 6 7 8 9 11 13 14 15 15 14 13 13 14 15 16 16 17 18 19 21 21 21 20 18 17 16 16 17 18 17 15 nan
nan 6 7 7 9 11 14 16 18 19 21 22 20 18 16 12 9 8 9 8 7 6 6 8 9 10 11 11 11 12 12 12 10 7 4 2 3 4 6 8 9 10 10 10 11 14 16 15 12 8 3 2 3 6 9 11 14 16 17 17 15 13 11 10 9 8 8 9 10 9 7 5 4 4 5 7 6 5 5 6 6 6 6 5 4 3 3 4 6 8 9 9 9 8 7 8 10 12 12 12 11 9 8 8 8 9 10 9 8 7 7 6 5 5 6 8 10 10 11 11 10 9 9 9 8 8 8 8 9 9 10 10 10 9 8 7 8 8 8 8 8 8 8 7 6 5 4 4 5 6 6 7 6 6 6 7 7 8 9 10 10 11 13 15 16 17 16 15 13 13 13 14 15 16 17 18 19 21 22 22 22 20 19 17 17 16 15 14 11 8 nan
nan 7 6 7 9 12 16 18 18 18 18 18 18 17 15 12 10 9 9 8 7 6 6 7 9 11 12 12 12 14 14 14 11 7 3 2 4 7 9 11 12 11 9 8 9 12 15 16 14 10 6 3 4 6 8 11 13 15 17 19 18 16 13 11 9 8 9 10 11 10 7 5 3 4 6 7 7 6 6 6 7 7 6 5 4 3 2 2 4 6 8 9 9 8 7 7 9 11 12 12 9 7 7 8 9 9 8 6 5 5 6 5 5 6 8 10 12 12 11 11 10 8 7 7 7 7 9 10 11 11 12 12 11 10 9 8 8 8 9 9 10 10 10 10 9 9 9 9 10 11 11 10 10 10 9 10 11 12 13 14 15 16 17 17 17 16 14 12 11 12 13 15 16 17 19 20 21 22 23 23 22 21 20 18 17 16 14 12 9 8 nan
nan 5 5 5 8 12 15 17 17 16 14 14 13 12 11 9 8 7 7 7 6 5 5 5 8 10 12 13 14 16 17 16 13 8 4 4 6 10 12 14 14 13 10 8 8 11 14 15 15 12 8 6 5 7 8 10 12 14 17 18 18 16 14 11 9 9 10 13 15 13 10 7 5 6 8 9 8 7 6 6 6 6 6 5 4 5 4 4 4 5 7 8 9 8 7 7 8 10 12 11 9 7 7 9 10 9 6 4 3 4 6 8 11 14 16 17 15 13 12 11 10 9 8 7 7 8 10 11 12 12 13 13 13 12 12 11 11 11 11 12 12 12 13 13 12 12 12 12 13 13 13 12 12 11 11 12 14 16 18 19 19 18 17 16 14 12 10 9 11 13 15 17 18 19 20 21 21 22 22 22 22 21 20 19 18 17 15 14 12 11 nan
nan 4 4 5 6 10 14 16 16 14 12 11 10 9 7 6 5 5 5 6 6 5 5 6 7 10 12 13 14 15 17 16 14 9 5 5 7 9 11 13 13 13 11 9 9 10 12 14 13 11 8 6 6 6 7 9 10 12 14 15 15 14 11 9 8 8 11 15 18 17 14 11 9 9 10 10 9 7 6 6 6 6 6 6 7 8 8 7 6 5 5 6 7 7 7 6 7 9 11 10 8 7 7 8 8 7 5 3 4 6 8 11 14 17 18 18 16 14 14 13 12 11 10 9 8 9 10 11 12 13 13 14 14 14 13 13 13 14 14 15 15 15 15 15 14 13 13 13 13 13 13 12 11 11 12 14 17 19 19 19 17 15 13 10 9 8 8 10 12 15 17 19 20 20 20 19 19 19 19 19 20 20 19 19 18 18 17 16 15 15 nan
nan 6 5 5 6 8 11 14 14 13 11 9 8 7 6 5 4 4 4 5 6 6 6 7 8 9 11 11 12 13 15 14 13 10 7 6 7 7 8 10 11 12 12 11 11 12 13 13 12 10 7 5 5 5 5 7 8 10 11 12 11 10 8 7 6 7 10 15 18 18 17 14 13 12 11 11 10 9 9 9 9 8 8 10 13 14 13 11 8 6 5 5 6 7 6 6 6 7 8 8 7 6 6 6 6 6 5 4 5 7 9 11 12 13 14 14 13 12 13 13 13 12 10 9 8 9 10 12 13 15 16 16 16 15 14 14 15 15 16 16 16 16 16 15 13 13 12 11 11 11 10 10 10 11 14 16 17 17 15 13 11 9 7 6 6 8 10 12 15 17 19 20 20 19 17 16 15 15 15 15 16 16 17 17 17 17 17 17 17 17 nan
nan 10 8 7 7 7 9 11 13 12 10 9 8 8 7 6 5 5 5 5 6 7 8 8 8 8 8 10 12 13 14 14 12 10 8 7 6 6 6 7 9 11 13 13 14 15 15 14 12 9 6 4 4 4 4 5 7 9 10 11 10 9 7 6 5 6 9 13 15 15 15 14 13 12 11 10 10 11 12 13 12 11 11 13 18 19 18 14 10 6 4 4 5 6 7 7 6 4 3 4 4 5 5 5 5 5 5 4 5 7 9 10 10 10 10 10 10 10 10 11 11 10 10 10 12 14 16 17 18 19 19 18 17 15 14 14 15 15 16 16 16 16 15 14 12 12 11 10 10 10 10 11 11 12 13 13 11 9 6 6 5 4 5 6 8 10 12 15 16 18 19 19 18 16 13 12 11 10 10 10 11 12 12 13 14 14 15 16 17 18 nan
nan 13 13 11 10 8 8 9 11 12 11 10 10 9 7 7 6 5 5 5 6 8 9 9 8 6 7 9 13 15 17 16 14 11 9 8 6 6 5 6 8 11 14 15 16 17 17 15 12 9 7 5 5 4 4 4 6 8 10 10 10 8 7 7 7 7 8 10 11 11 11 11 11 11 10 10 11 12 13 14 14 13 13 15 19 22 21 17 13 8 5 4 4 6 7 8 7 4 2 2 3 4 5 5 5 5 5 4 5 7 8 9 9 9 9 10 9 9 8 8 9 11 13 16 20 22 24 24 24 22 20 18 16 15 14 14 13 13 13 13 14 14 13 13 13 13 12 12 11 10 11 11 11 10 8 6 3 2 2 3 4 5 6 8 10 12 14 16 17 18 19 17 15 12 10 9 8 7 7 7 7 8 9 9 10 12 13 15 16 18 nan
nan 14 14 14 13 12 11 10 11 12 11 11 11 10 8 6 5 5 5 6 7 9 10 10 7 5 6 9 14 17 18 17 15 11 9 8 6 5 4 5 6 9 13 15 16 17 17 16 13 10 9 7 6 6 5 4 5 8 9 9 8 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 12 12 12 12 13 15 17 19 19 18 16 13 10 7 5 5 6 7 8 7 5 4 4 5 6 6 6 6 6 5 6 7 8 8 9 10 10 11 11 10 9 8 10 14 19 23 26 27 27 26 23 20 18 16 14 13 12 11 11 11 11 11 11 12 12 13 14 15 14 13 11 9 8 7 6 5 3 2 2 2 3 5 6 7 8 10 12 13 14 16 18 19 18 15 12 9 8 7 7 7 7 7 7 8 8 9 10 11 13 14 16 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
52 54 57 61 64 66 70 73 72 68 63 56 46 39 33 30 27 23 20 20 22 28 42 55 62 64 63 69 95 146 208 227 224 226 211 177 139 106 72 46 43 51 58 54 46 47 49 34 18 13 15 24 40 58 70 74 70 66 73 75 65 47 32 46 83 86 68 46 47 63 70 59 43 30 22 19 16 6 2 0 0 0 0 3 9 12 10 8 8 6 6 18 47 86 114 103 72 47 28 16 8 3 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 6 48 186
58 62 67 72 74 75 77 80 81 82 75 65 55 44 36 32 29 26 23 20 20 22 30 45 58 63 63 64 71 97 139 168 181 206 216 193 158 124 90 58 46 56 66 66 53 45 42 33 20 14 14 23 40 60 74 80 77 70 69 72 57 38 27 49 73 63 42 39 30 33 47 55 47 32 19 11 5 0 0 0 2 3 6 13 20 25 24 23 23 22 29 47 82 124 139 111 73 49 30 18 11 6 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 4 36 159
68 70 74 78 82 87 90 91 93 91 84 76 65 52 43 36 33 31 27 24 22 21 24 34 48 61 62 59 60 74 98 123 146 179 215 215 184 145 106 73 60 69 77 79 58 44 38 30 20 14 16 24 43 63 76 82 80 73 69 71 51 26 25 54 68 51 29 30 25 18 21 33 38 29 13 4 2 1 1 2 8 11 18 26 33 39 39 39 41 44 60 89 126 148 131 89 66 47 31 21 14 9 7 5 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 2 20 102
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