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 -2 1 5 6 5 6 8 10 11 11 11 10 10 9 9 9 10 10 11 12 13 13 14 14 15 15 15 16 18 19 20 18 15 11 8 7 6 6 7 9 10 10 8 5 2 2 5 9 10 10 9 9 9 9 11 12 13 13 13 13 12 10 8 6 5 5 5 6 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 10 11 11 11 11 10 10 8 7 6 6 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 7 9 10 10 10 10 10 8 7 5 6 7 8 8 8 9 nan
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nan 9 7 6 5 6 6 7 7 7 8 9 9 9 9 9 9 10 11 15 20 23 23 21 16 13 14 15 16 15 13 10 7 6 6 7 8 9 10 10 11 12 12 14 16 17 18 17 16 15 14 13 13 14 15 16 17 17 16 15 15 14 13 12 10 9 9 10 12 15 18 21 23 24 23 22 20 18 16 14 12 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 8 7 7 6 6 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 13 13 12 11 10 10 10 10 10 10 9 9 9 9 8 7 6 6 6 6 7 8 9 11 11 12 12 12 11 10 10 9 8 8 7 7 7 7 nan
nan 10 8 7 7 7 8 8 8 8 8 9 8 8 8 9 10 12 14 18 21 22 21 17 12 11 12 14 16 16 15 12 10 9 9 11 12 12 12 12 13 12 12 12 13 14 16 16 16 14 13 12 12 13 15 16 17 17 16 15 14 13 11 10 8 8 8 10 13 15 16 16 16 19 20 21 21 19 17 15 13 12 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 10 11 11 11 11 11 12 12 12 12 12 13 13 12 12 11 10 10 10 10 9 9 9 9 9 9 8 7 6 5 5 6 7 9 10 11 12 12 12 12 11 11 10 9 8 7 7 7 7 6 nan
nan 11 10 10 10 10 11 10 9 8 7 6 6 6 6 8 9 12 14 17 19 19 18 14 11 11 11 12 13 14 14 12 11 11 11 12 13 13 14 15 15 13 11 10 10 12 13 15 14 13 12 12 12 13 14 16 17 17 16 15 13 12 10 8 6 6 7 10 12 13 12 11 11 14 17 19 21 20 18 16 14 13 12 11 10 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 10 11 11 11 11 12 12 12 12 12 12 13 13 13 12 11 11 10 9 9 9 9 9 9 9 8 8 7 5 4 4 6 8 10 11 12 12 12 12 11 11 10 9 9 8 8 8 7 6 4 nan
nan 12 12 12 13 13 12 12 10 7 6 4 4 4 5 6 8 10 11 13 15 15 15 13 12 12 12 12 13 13 12 11 11 11 11 11 12 13 15 16 16 13 11 8 7 9 11 13 13 12 11 11 12 13 14 15 16 17 16 15 13 11 8 6 4 4 6 8 11 12 11 10 10 12 15 18 20 20 19 17 15 14 13 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 10 11 12 12 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 10 11 11 11 12 12 12 12 12 13 13 13 13 13 13 12 11 10 9 8 8 9 9 8 8 8 7 7 6 5 5 6 8 10 12 12 13 12 12 11 10 10 9 9 9 9 8 7 5 3 nan
nan 11 12 12 12 12 12 11 9 7 5 4 4 4 5 6 7 7 7 8 8 9 10 10 11 12 13 13 13 13 12 11 10 10 10 10 11 12 15 17 16 14 10 7 6 7 9 11 12 12 11 11 12 13 14 15 16 16 16 15 13 10 7 4 3 3 5 7 10 12 12 11 11 13 15 17 19 19 19 18 16 15 14 12 11 11 10 9 9 8 8 7 7 7 7 7 6 6 7 8 9 10 11 12 13 13 12 11 10 9 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 9 10 10 11 11 12 12 12 12 13 13 13 14 14 14 13 12 11 10 9 9 9 9 9 8 7 7 7 7 7 6 5 6 8 10 12 13 13 12 12 11 10 9 9 9 9 10 9 8 5 3 nan
nan 8 9 9 9 9 8 8 8 7 7 6 6 6 7 7 7 6 5 3 2 3 5 8 10 13 14 15 15 13 12 11 10 10 10 9 9 11 14 16 16 14 11 8 6 7 9 11 11 11 11 11 12 13 14 16 16 16 16 15 12 9 6 4 3 3 5 8 11 13 13 13 12 13 14 16 17 18 18 17 16 15 14 13 12 12 11 11 10 9 8 8 7 7 7 7 7 7 7 8 9 10 11 12 13 13 12 11 9 9 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 11 11 11 12 12 12 13 13 13 14 14 14 13 12 11 11 11 11 10 9 9 8 7 7 8 8 8 7 6 6 8 10 12 13 13 12 11 10 10 10 10 10 10 10 9 8 6 4 nan
nan 5 6 7 7 6 6 6 7 8 9 9 9 9 8 8 8 7 5 3 2 3 6 9 13 15 16 16 15 13 12 11 10 9 9 8 8 10 13 15 15 15 12 9 7 7 9 11 11 11 11 11 12 14 15 16 16 16 16 14 11 8 6 4 3 3 5 9 12 15 15 15 14 13 13 14 15 16 16 16 16 15 14 14 13 13 12 12 11 11 10 9 9 9 8 8 8 8 9 9 10 11 11 12 12 12 11 10 9 8 8 8 8 9 10 10 11 11 11 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 10 11 11 11 12 12 12 13 13 14 14 13 12 12 11 10 10 10 10 10 9 9 8 8 8 8 8 8 7 6 7 8 10 12 13 13 12 11 10 10 10 10 10 10 9 9 8 6 4 nan
nan 4 5 6 7 6 6 7 8 9 10 10 9 8 8 7 7 7 7 7 8 9 11 15 17 19 19 18 15 12 10 9 9 8 8 8 9 10 12 13 13 13 11 9 8 9 10 11 11 11 11 11 13 14 15 16 16 16 15 13 10 7 6 5 4 4 6 9 12 15 16 15 14 13 12 12 13 14 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 10 9 8 8 8 8 9 9 10 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 11 11 11 12 12 13 13 14 13 12 11 10 9 9 9 9 9 9 9 8 8 8 9 8 8 8 7 7 8 9 11 12 13 12 11 11 10 10 10 10 10 10 9 8 7 4 2 nan
nan 5 6 7 8 9 8 8 8 9 9 9 8 7 5 4 4 6 8 10 12 15 16 19 20 21 20 18 15 11 9 7 7 6 6 7 9 11 12 12 12 11 11 10 9 9 10 11 11 11 11 12 13 13 14 15 15 15 13 12 9 6 5 5 6 6 7 9 11 13 14 14 13 11 10 10 11 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 12 11 11 11 11 10 10 9 8 8 9 9 9 10 11 12 11 11 10 9 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 11 11 11 12 13 13 14 13 12 10 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 9 8 6 3 1 nan
nan 6 7 8 9 10 9 8 7 8 8 8 7 6 5 4 5 6 8 11 14 16 17 18 19 19 19 17 14 10 7 4 3 3 3 6 8 11 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 13 13 13 13 13 12 11 9 6 6 6 7 8 8 8 8 9 10 10 9 8 8 8 9 9 10 11 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 13 13 13 12 11 11 10 10 9 9 9 9 9 9 9 10 11 12 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 13 13 13 12 11 9 8 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 8 5 3 3 nan
nan 7 7 8 9 10 9 7 6 6 6 7 7 7 7 8 8 9 11 14 16 16 16 16 16 16 15 14 11 8 4 1 -0 -1 2 6 9 11 12 13 12 12 12 11 11 11 10 10 10 10 11 12 12 12 12 12 12 12 11 10 9 7 6 6 7 8 8 8 7 6 6 6 5 5 5 5 5 6 6 7 8 8 9 9 9 9 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 12 11 10 9 9 8 8 8 9 9 9 9 10 11 11 10 9 8 7 7 6 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 11 10 9 8 7 6 7 7 8 8 8 8 8 9 10 10 11 10 10 9 9 9 9 10 11 12 12 12 10 10 10 10 10 10 9 7 5 4 4 nan
nan 8 7 8 10 11 11 10 8 7 6 7 7 8 9 9 10 12 16 19 19 17 14 13 12 12 11 10 9 6 3 -1 -3 -2 3 8 12 13 13 13 12 12 12 12 11 11 10 10 10 10 11 12 12 12 12 12 11 11 10 10 9 8 7 7 6 6 7 7 6 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 7 8 9 11 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 7 7 8 8 9 9 9 10 10 11 10 9 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 9 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 11 9 8 7 6 6 7 7 6 6 7 7 9 10 11 10 9 8 8 7 7 8 9 10 11 11 11 10 10 9 9 8 8 8 7 6 5 6 nan
nan 8 6 7 10 12 13 13 12 11 10 9 8 8 7 8 9 12 19 23 23 19 14 11 10 8 7 6 6 5 3 -2 -4 -2 4 11 14 14 13 12 12 12 12 11 10 10 9 9 10 10 11 12 12 12 12 11 11 10 10 10 9 9 8 7 7 7 7 7 7 7 6 6 5 4 3 3 2 2 2 2 1 2 2 2 3 3 4 4 5 6 8 10 11 12 13 12 12 12 11 11 11 11 10 10 9 8 7 7 7 8 8 8 9 9 10 10 11 11 10 9 8 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 12 11 10 9 8 8 7 7 6 5 4 4 5 6 8 9 9 8 8 7 6 7 7 8 9 10 10 9 9 9 9 9 8 8 7 7 6 6 7 nan
nan 7 6 8 11 13 13 13 13 13 13 12 10 8 7 7 8 11 18 23 24 21 17 12 8 4 1 1 3 4 4 -1 -3 -1 5 11 14 14 13 11 11 11 11 10 10 9 9 9 9 10 11 11 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 7 7 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 7 9 10 12 13 13 13 13 12 11 11 10 10 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 8 7 7 7 7 7 8 8 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 11 11 10 10 9 9 8 6 4 2 2 3 5 6 7 8 8 8 7 7 7 7 8 9 9 9 9 9 9 10 10 9 8 8 7 7 7 8 nan
nan 8 7 9 12 13 13 13 12 11 11 12 11 10 9 8 8 10 16 21 24 24 21 14 7 0 -3 -2 1 5 7 4 2 4 7 10 12 12 12 11 11 11 11 10 10 9 9 9 9 10 10 11 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 9 10 11 13 14 14 14 13 12 11 11 10 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 8 7 7 7 7 7 7 8 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 9 8 7 5 4 4 5 6 7 7 8 8 8 7 7 7 7 8 8 9 9 9 10 10 10 9 9 8 7 7 7 8 8 nan
nan 8 8 9 12 14 15 14 11 8 7 8 9 10 10 10 10 11 15 21 23 24 22 14 5 -2 -6 -5 0 6 10 10 8 8 9 10 11 11 10 11 11 11 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 11 11 12 12 12 13 13 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 11 11 10 10 10 10 10 9 9 10 11 13 14 15 15 14 13 12 11 10 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 10 9 8 7 7 7 7 7 7 8 9 9 10 11 11 12 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 7 8 9 9 8 8 7 7 6 6 6 6 7 7 8 8 9 10 10 10 9 9 8 8 7 7 6 7 8 nan
nan 8 6 7 9 13 16 16 13 8 4 3 4 6 8 11 12 13 15 18 20 20 19 12 4 -2 -6 -6 -2 4 9 12 11 10 10 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 12 12 13 14 14 15 15 15 16 16 16 16 16 16 16 16 16 15 15 14 14 13 13 12 12 11 11 10 10 10 11 12 14 14 14 14 13 12 11 10 10 9 9 9 8 8 8 8 9 9 10 10 11 11 11 10 9 9 8 7 7 7 7 7 8 9 9 11 12 12 12 11 11 11 11 12 12 11 10 10 10 9 9 9 9 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 7 8 9 10 11 11 11 11 10 10 9 9 7 6 6 6 nan
nan 9 6 6 8 11 15 17 14 9 3 -0 -1 0 2 6 8 9 10 11 13 14 14 10 4 -0 -4 -6 -4 0 5 8 9 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 12 12 13 14 14 15 15 16 16 16 16 16 16 16 16 16 16 16 16 15 14 14 13 13 12 11 10 10 10 11 12 14 14 14 13 13 12 11 10 10 9 9 8 8 8 9 9 9 9 10 10 11 11 10 10 9 9 8 8 7 7 7 8 8 9 11 12 13 12 12 11 11 12 12 12 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 11 11 11 10 10 10 9 8 8 7 7 7 7 7 6 6 7 8 9 10 12 12 13 13 13 13 12 11 10 8 7 6 nan
nan 13 11 10 10 11 14 16 14 10 5 1 -2 -3 -3 -1 2 3 3 5 7 9 10 9 6 3 1 -2 -3 -1 1 3 4 5 5 6 7 8 9 9 9 9 9 10 9 9 9 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 14 15 15 15 15 15 15 16 16 16 16 16 16 16 15 15 14 14 13 12 11 10 10 10 11 13 13 14 14 13 12 12 11 10 10 9 9 8 8 9 9 9 9 10 10 10 11 11 10 10 10 9 8 7 7 7 7 8 9 11 12 13 12 12 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 10 10 11 11 11 10 10 9 8 8 8 9 9 10 9 9 8 8 9 10 10 11 12 12 12 13 14 14 14 13 11 10 9 8 nan
nan 15 15 14 13 13 13 14 13 11 8 5 1 -0 -0 -0 0 1 2 3 5 7 8 9 8 7 6 4 2 1 1 1 2 3 3 4 5 6 7 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 10 11 12 13 14 14 15 15 15 15 15 15 15 15 15 16 16 16 15 15 14 13 12 11 10 10 11 12 13 13 14 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 7 7 7 7 8 9 11 12 13 12 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 13 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 nan
nan 12 14 15 13 12 11 11 11 11 10 10 9 9 9 9 8 7 6 7 8 9 10 11 12 11 10 9 7 5 4 3 2 3 3 4 4 5 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 7 7 8 10 11 12 13 14 14 15 15 15 15 15 15 15 15 15 16 16 15 15 14 14 13 11 11 10 11 12 13 13 14 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 8 7 8 8 9 11 12 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 14 14 13 13 14 14 14 14 13 12 11 11 11 11 10 10 10 10 11 12 12 nan
nan 8 10 11 11 9 9 9 9 9 10 12 15 18 20 19 18 16 14 13 13 14 14 15 15 15 14 13 12 11 9 7 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 6 6 6 7 7 8 10 11 12 13 14 14 15 15 15 15 15 15 15 15 15 15 15 15 14 14 13 12 11 11 12 12 13 14 14 14 13 12 11 10 10 9 9 9 8 8 8 9 9 10 10 10 11 11 12 11 10 10 9 9 9 9 9 9 10 11 12 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 10 10 9 9 10 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 10 10 9 10 11 12 12 12 nan
nan 7 8 9 9 8 8 8 8 8 8 10 14 19 22 23 22 21 19 18 17 16 16 16 16 17 17 16 16 15 14 13 11 10 9 9 8 7 7 6 5 5 5 5 6 6 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 11 12 13 13 14 14 15 15 15 15 15 14 14 15 15 14 14 14 13 12 12 12 12 13 13 14 14 14 13 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 13 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 10 11 12 12 10 nan
nan 8 8 8 8 9 9 8 8 6 6 7 10 14 17 18 18 18 17 16 16 15 15 15 15 16 16 17 17 17 17 17 16 15 14 13 12 11 10 9 8 7 7 6 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 11 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 12 12 13 13 13 13 13 13 12 12 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 13 13 12 11 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 11 11 10 10 11 12 13 13 13 12 11 10 10 9 9 9 9 9 9 9 10 10 11 10 9 9 9 9 10 11 10 9 nan
nan 12 9 7 8 9 10 9 7 5 4 4 5 7 9 11 12 12 13 13 13 13 14 14 14 15 15 15 16 16 17 18 18 18 18 17 16 15 15 14 12 11 10 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 8 8 8 8 9 9 10 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 12 12 12 12 11 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 9 9 10 10 11 11 11 11 12 13 14 14 13 12 10 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 13 13 13 12 11 9 8 9 10 11 12 12 12 12 12 11 10 10 9 9 9 8 8 9 9 10 10 9 9 8 8 8 9 9 9 8 nan
nan 15 10 7 7 9 9 9 7 6 5 4 5 5 6 7 8 9 10 11 11 12 13 13 14 14 15 15 14 15 16 16 17 18 18 19 18 18 18 17 16 15 14 13 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 11 11 11 12 12 13 14 14 13 12 11 9 9 9 9 9 10 10 10 10 11 12 12 12 12 12 12 13 13 14 13 11 8 7 7 7 8 8 9 10 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 15 10 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 14 14 14 14 14 14 15 16 17 17 18 19 19 19 18 17 17 15 14 13 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 13 14 14 14 13 12 10 9 8 9 9 10 11 11 11 11 11 11 12 12 12 11 10 10 11 12 12 12 10 9 8 7 7 7 8 9 10 11 12 11 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 9 nan
nan 12 10 10 10 10 10 10 11 11 12 13 14 15 14 14 12 10 9 9 9 10 11 11 12 12 12 13 13 13 13 13 14 15 16 17 18 18 18 18 17 17 16 15 15 14 14 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 10 11 11 11 11 11 11 12 13 15 15 14 13 11 9 8 8 8 9 10 11 11 10 10 10 10 11 12 12 12 12 11 11 12 12 13 13 12 12 11 10 10 10 11 12 13 13 12 11 9 9 10 11 12 12 11 11 10 10 11 12 13 13 12 11 9 8 nan
nan 11 11 11 11 11 11 11 12 12 12 14 16 18 18 18 15 10 8 8 9 10 11 12 11 11 11 11 11 11 12 13 14 15 16 17 17 18 17 17 17 16 16 16 16 16 16 16 15 15 15 15 14 14 14 14 14 14 14 14 14 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 14 15 15 16 15 13 11 9 7 8 8 9 10 10 9 9 8 9 10 11 12 13 14 14 14 13 12 12 13 13 13 14 14 14 14 13 13 13 13 12 12 11 10 11 12 14 16 15 14 13 11 10 10 11 11 12 12 11 10 8 nan
nan 10 10 9 9 10 10 10 10 10 12 14 17 19 21 20 16 11 9 8 9 11 12 13 12 11 10 9 10 10 11 13 14 15 15 16 17 17 16 16 16 16 16 17 17 17 17 17 17 17 17 16 16 15 15 15 15 15 15 15 15 15 14 14 13 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 14 15 16 16 16 15 13 11 9 8 9 9 10 11 11 10 10 9 10 12 13 14 14 15 15 15 14 13 12 12 12 13 14 14 14 14 13 13 13 12 11 11 11 12 13 14 15 15 16 15 14 11 9 8 7 7 8 10 11 12 11 nan
nan 9 8 6 6 6 6 7 7 9 12 15 18 19 20 19 16 13 12 12 13 14 15 14 13 11 10 9 9 10 11 13 13 14 15 15 16 15 15 15 15 15 15 16 16 17 17 18 18 18 18 17 16 15 15 14 14 15 15 16 16 15 15 15 14 13 13 12 12 11 11 11 12 12 12 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 14 14 14 15 16 16 16 16 15 13 12 11 10 11 11 12 13 13 12 12 12 13 14 14 14 14 13 13 13 13 13 12 12 12 12 13 13 12 12 12 12 11 11 10 10 10 11 12 13 13 13 14 14 14 12 10 9 7 5 5 6 9 11 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
CAPE
1840 1887 1910 1898 1890 1866 1893 1910 1905 1895 1882 1869 1815 1723 1624 1544 1483 1415 1350 1321 1310 1298 1276 1246 1219 1199 1182 1173 1177 1196 1248 1366 1598 1527 1200 908 682 474 300 172 116 100 80 74 84 101 119 135 151 200 258 305 336 356 390 415 364 294 225 170 152 99 85 76 61 42 30 41 82 108 113 116 124 131 125 105 81 60 45 35 30 27 25 22 18 13 9 5 2 3 7 8 8 8 5 2 0 1 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 9 21 33 45 57 68 78 86 96 102 105 105 104 102 96 86 75 71 73 80 95 124 187 218 211 181 143 105 57 47 19 14 13 13 20 41 85 146 212 280 353 430 501 556 622 686 740 746 702 643 612 593 599 600 589 573 562 556 553 577 610 629 638 633 612 587 554 521 488 458 438 427 409 369 325 295
1863 1920 1923 1883 1869 1851 1873 1880 1875 1868 1864 1873 1853 1777 1690 1608 1524 1443 1398 1342 1318 1314 1313 1307 1297 1284 1264 1247 1261 1312 1384 1469 1556 1483 1183 849 548 319 181 122 109 108 67 48 59 89 133 166 199 258 322 366 388 408 447 455 428 365 305 255 208 152 115 79 55 46 50 66 95 108 106 107 112 116 113 100 82 63 48 38 32 28 25 20 13 7 3 1 1 4 6 6 4 2 1 0 1 5 9 7 5 3 2 1 0 0 0 0 0 0 0 0 3 14 28 42 54 64 74 82 92 103 109 109 107 104 100 94 84 73 68 69 76 92 130 205 250 252 241 232 192 67 49 22 17 17 18 29 56 95 137 192 245 302 365 424 467 523 597 680 725 705 638 582 540 530 517 500 484 473 457 432 478 573 662 680 641 614 587 578 576 551 526 511 496 475 447 382 313
1836 1890 1890 1870 1862 1827 1839 1847 1856 1864 1874 1889 1885 1820 1743 1644 1526 1423 1367 1285 1251 1253 1266 1282 1296 1315 1339 1375 1409 1492 1515 1472 1402 1320 1113 793 475 247 135 108 103 86 52 52 78 128 193 252 313 347 362 367 371 383 412 416 469 446 400 339 260 188 132 84 59 61 77 93 103 105 100 100 104 105 101 92 81 65 49 38 32 27 21 14 7 3 1 0 1 3 5 4 2 0 0 2 4 8 11 11 8 5 3 1 0 0 0 0 0 0 0 1 5 17 32 47 59 69 77 86 96 105 107 105 101 98 93 85 78 70 65 67 74 90 126 190 237 241 227 220 201 111 56 30 22 19 20 31 54 83 112 154 195 238 290 353 400 447 529 621 687 692 632 551 482 438 408 381 359 343 327 280 336 465 585 636 624 602 579 572 586 578 569 563 547 526 494 428 352
1837 1888 1845 1807 1811 1804 1804 1818 1839 1874 1905 1918 1902 1816 1669 1544 1477 1420 1349 1267 1206 1199 1199 1201 1214 1249 1314 1408 1442 1505 1362 1168 1047 980 863 613 366 209 142 126 116 85 46 54 82 139 220 308 398 418 377 336 318 326 352 366 410 418 394 338 265 194 135 92 73 79 95 108 108 99 92 92 96 97 93 87 80 67 52 40 30 22 15 7 2 0 0 0 0 1 2 1 0 0 2 3 5 7 9 8 6 3 2 1 0 0 0 0 0 0 0 1 4 16 32 46 59 70 80 89 98 103 103 100 97 92 85 80 73 65 62 66 74 87 114 165 203 197 170 160 173 151 71 40 27 20 20 26 38 56 94 127 162 207 266 330 372 407 471 549 612 623 567 465 362 293 262 250 239 229 241 219 278 381 483 554 588 596 594 589 621 633 626 614 595 581 561 517 446
1787 1831 1796 1722 1701 1728 1740 1753 1748 1786 1800 1751 1701 1714 1570 1482 1463 1433 1367 1275 1181 1138 1121 1100 1091 1115 1172 1247 1281 1352 1144 883 702 586 465 319 198 119 89 91 97 86 37 41 65 117 203 312 414 435 360 291 260 266 290 312 329 332 318 282 231 176 128 95 85 91 104 111 107 94 83 81 85 88 87 82 75 67 57 46 34 23 13 4 1 0 0 0 0 0 0 0 0 2 4 4 4 5 5 3 2 1 0 0 0 0 0 0 0 0 0 2 7 18 32 46 59 71 82 92 98 100 100 98 96 90 83 78 71 64 62 67 76 88 109 153 185 170 134 124 145 133 77 42 26 20 20 24 32 53 105 144 179 225 286 348 383 393 410 451 487 478 407 295 189 134 125 135 144 152 178 200 253 319 395 475 547 593 616 635 665 679 672 656 644 647 643 610 554
1679 1693 1669 1613 1588 1580 1565 1561 1542 1587 1628 1585 1556 1586 1507 1468 1471 1456 1397 1290 1156 1041 968 933 930 944 968 995 1014 1106 1060 861 615 400 241 123 62 40 36 53 72 73 40 33 46 88 174 288 383 399 324 248 219 225 244 256 259 246 229 207 178 146 115 93 88 91 98 102 96 85 73 67 70 75 77 72 63 58 57 53 44 31 16 5 0 0 0 0 0 0 0 0 1 3 5 5 5 4 4 2 1 0 0 0 0 0 0 0 0 0 2 6 15 26 38 52 64 75 85 94 99 100 98 96 93 88 82 75 70 66 66 71 79 91 115 176 194 162 123 112 123 106 63 28 17 21 25 24 34 84 149 202 245 289 335 369 379 376 350 351 354 318 228 119 61 47 63 81 95 110 116 138 184 247 333 432 521 580 622 674 700 706 698 684 674 691 711 698 644
1495 1501 1500 1477 1383 1275 1232 1281 1370 1470 1551 1563 1558 1536 1487 1467 1481 1497 1473 1378 1226 1063 934 865 845 805 773 753 742 777 813 803 653 423 240 193 259 230 196 140 99 78 60 48 42 66 138 241 329 350 289 219 199 210 225 227 210 180 156 137 121 107 93 83 79 78 83 86 83 73 62 55 55 59 61 57 49 44 47 49 45 33 17 5 0 0 0 0 0 0 0 0 1 4 5 6 6 5 4 2 1 0 0 0 0 0 0 0 1 4 8 14 22 36 48 61 74 85 93 99 102 103 98 92 87 84 81 73 70 68 69 73 80 91 116 190 185 144 110 96 91 73 41 15 16 31 41 41 54 98 177 254 316 368 403 403 366 350 312 285 252 189 101 44 30 33 45 57 67 75 76 96 137 199 290 400 500 550 621 685 708 699 676 655 643 686 725 731 701
1363 1357 1374 1274 996 838 867 1044 1273 1452 1530 1549 1571 1564 1529 1500 1509 1563 1601 1552 1396 1168 944 821 839 712 611 559 531 516 512 655 638 478 371 444 605 576 541 332 170 96 65 49 41 56 103 172 235 259 225 186 183 207 227 225 196 154 115 91 77 69 64 62 61 60 65 68 66 59 50 43 40 40 40 37 32 30 32 35 33 23 11 3 0 0 0 0 0 0 0 0 1 3 5 5 5 4 2 0 0 0 0 0 0 0 0 0 3 10 16 22 31 44 56 70 82 90 96 100 103 102 92 86 83 82 78 73 70 71 73 77 83 94 120 174 151 112 85 76 75 65 39 13 22 43 59 69 79 95 151 233 321 386 403 373 322 299 276 250 207 144 81 53 41 37 35 35 37 37 42 65 118 188 281 387 475 526 580 620 640 637 618 593 566 629 672 687 681
1327 1300 1161 871 531 446 592 874 1180 1415 1535 1566 1608 1616 1575 1525 1528 1614 1704 1698 1563 1310 992 700 551 503 470 435 409 402 432 579 612 526 526 669 849 878 843 514 261 126 69 46 37 42 61 92 125 147 153 160 173 203 226 226 200 155 106 72 55 46 42 40 38 38 43 47 47 43 38 31 24 19 17 15 13 12 13 15 11 5 1 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 8 13 19 25 34 48 61 73 83 88 92 94 94 89 82 81 81 80 78 76 74 76 80 83 90 104 127 150 124 88 67 63 66 59 37 14 26 48 68 81 86 85 108 170 282 358 342 275 224 209 210 207 187 139 72 51 43 36 30 25 23 21 25 44 100 198 303 388 461 505 505 481 482 505 525 523 487 517 561 600 622
1241 1020 686 352 167 217 443 768 1105 1372 1525 1574 1608 1599 1542 1499 1532 1655 1773 1759 1609 1352 1024 692 448 389 380 371 372 395 454 570 630 598 644 742 818 831 824 539 295 143 71 44 32 27 27 34 50 74 106 137 157 179 200 211 202 171 125 86 65 52 41 32 25 21 21 24 26 25 23 18 10 5 3 3 2 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 1 7 14 22 30 40 51 63 72 78 81 83 84 83 75 76 78 77 76 76 79 81 83 85 87 96 113 133 135 107 77 58 59 70 69 43 21 29 48 69 81 81 78 85 119 249 349 321 207 118 110 121 130 129 106 59 47 42 35 30 29 30 27 25 34 83 189 308 397 450 468 438 339 251 284 406 422 402 409 443 491 531
937 523 197 63 62 152 395 732 1071 1341 1507 1568 1572 1552 1531 1554 1632 1745 1818 1746 1541 1265 928 600 386 328 341 370 414 475 549 628 672 657 698 729 716 666 594 417 251 144 92 75 68 60 44 30 24 38 70 103 125 146 175 199 203 183 147 111 91 77 59 41 25 14 10 9 10 10 9 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 6 15 24 32 40 50 62 69 73 76 79 80 77 72 74 76 77 79 82 85 87 88 88 90 94 104 115 113 90 64 46 49 66 69 49 34 34 46 62 75 78 80 77 91 195 294 285 180 67 52 55 60 64 64 52 48 44 39 34 32 31 30 33 35 66 138 238 342 425 454 455 433 366 327 354 347 329 340 357 368 390
573 220 53 10 40 146 377 735 1073 1345 1523 1604 1615 1620 1650 1712 1781 1820 1779 1619 1347 1061 779 529 366 329 364 434 512 590 656 695 694 675 703 686 610 501 400 297 211 163 147 145 147 144 130 91 45 26 26 33 44 52 74 114 145 150 135 118 107 97 80 57 34 17 8 5 3 2 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 0 0 0 0 0 0 1 8 16 24 31 40 49 60 65 71 74 77 76 70 69 71 73 76 80 85 89 90 91 91 92 92 91 90 86 74 50 36 49 76 84 61 40 37 45 58 70 76 76 67 69 114 168 183 138 59 39 36 35 35 38 40 43 46 45 40 34 31 30 36 36 43 70 124 206 313 410 454 482 446 377 337 306 288 296 294 272 259
344 100 18 3 35 144 378 733 1052 1337 1543 1664 1727 1768 1815 1851 1847 1772 1607 1355 1053 765 547 392 330 359 426 503 567 623 667 683 667 646 664 625 539 434 340 269 227 218 221 218 216 226 241 210 105 38 10 3 5 7 13 32 58 76 85 91 98 100 88 68 45 25 12 6 4 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 2 12 20 27 32 39 46 56 62 70 76 77 73 67 64 66 69 73 78 85 89 92 95 92 90 88 83 75 69 63 40 32 50 78 91 70 40 32 42 57 66 65 63 53 46 56 81 104 100 68 49 41 35 32 32 34 38 46 49 46 39 32 32 47 48 38 36 50 92 188 294 355 383 371 329 285 266 269 263 237 182 139
169 29 5 4 45 160 368 654 927 1197 1427 1595 1706 1777 1813 1792 1701 1530 1284 993 704 470 343 281 321 423 506 531 528 552 590 612 610 600 594 562 493 413 342 295 272 264 245 208 187 195 232 277 151 56 12 0 0 0 1 4 14 28 44 64 84 96 90 74 54 35 21 13 7 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 2 7 16 23 27 31 36 43 50 60 68 71 69 65 60 60 64 68 73 82 92 96 98 96 89 83 80 75 66 60 53 35 27 35 54 73 79 45 25 38 58 65 59 55 49 43 43 60 85 87 79 70 60 49 40 35 35 38 49 49 43 34 30 34 47 50 43 36 38 53 90 169 232 264 270 259 241 232 225 223 206 172 132
30 1 0 9 45 131 281 482 685 874 1074 1223 1314 1359 1380 1381 1298 1106 853 601 397 261 196 215 352 498 560 516 451 470 520 553 560 555 545 517 471 421 376 341 314 280 218 150 115 110 142 208 131 49 10 0 0 0 0 0 8 20 41 68 92 103 98 82 63 45 31 22 14 8 4 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 1 4 10 17 23 26 30 34 39 45 56 63 64 60 55 54 59 66 71 81 90 97 99 99 93 84 76 70 63 54 51 40 29 20 18 29 55 82 48 31 41 59 65 59 55 54 53 51 62 84 87 84 82 79 74 64 51 49 51 51 44 36 31 33 39 43 42 42 41 44 52 49 77 118 151 175 192 194 181 177 177 164 137 102
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9 18 29 40 51 65 76 93 119 154 194 225 255 291 330 357 346 257 190 140 113 127 215 402 516 463 358 305 340 426 510 541 558 568 568 553 517 462 407 359 297 226 165 130 107 83 71 77 92 102 93 59 41 31 20 18 39 107 163 174 141 89 52 43 42 44 45 44 41 39 36 31 24 17 12 8 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 1 3 6 9 12 14 14 21 28 33 37 41 45 52 55 60 67 74 87 102 116 128 133 129 114 95 83 73 62 49 36 26 16 5 2 14 35 55 70 38 22 36 65 91 99 87 75 66 64 77 106 139 145 133 117 95 80 83 75 59 55 64 78 89 105 106 89 72 59 50 46 45 46 44 44 43 42 43 41 59 81 91 95 98 104
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6 21 41 58 66 72 75 84 97 116 140 168 196 205 191 170 150 137 128 139 182 287 391 433 379 273 238 253 291 334 363 371 368 363 351 332 305 276 245 186 151 134 124 110 73 36 20 33 74 128 162 128 88 59 56 81 128 184 214 199 137 69 29 22 24 41 66 87 97 97 90 79 63 48 33 20 9 4 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 1 3 6 8 10 13 19 26 31 35 39 43 51 64 76 86 99 115 129 136 139 141 140 132 123 108 87 63 40 22 10 1 0 0 11 26 35 47 66 73 101 107 88 89 88 87 87 84 86 102 138 138 108 89 80 75 73 73 80 87 96 110 125 131 118 102 90 81 74 70 68 63 56 48 42 38 36 35 42 40 60 98 126 136
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