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 -1 1 5 7 6 6 8 10 12 13 14 14 13 11 10 8 7 7 6 5 4 4 4 4 4 4 5 5 6 7 7 8 10 13 15 16 15 14 12 11 9 8 6 5 5 7 9 9 9 9 8 7 7 8 8 9 10 11 12 15 16 16 14 10 7 5 5 5 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 5 5 6 7 7 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 4 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 8 8 8 8 9 9 8 8 7 7 7 6 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 9 9 10 11 11 12 12 11 10 9 10 12 13 12 10 10 nan
nan 1 4 8 10 10 10 10 12 13 14 14 13 12 11 9 8 7 7 6 5 4 4 4 4 5 5 6 6 7 7 8 10 12 13 14 14 13 12 12 10 9 8 6 5 5 6 7 8 8 8 7 7 7 8 9 9 10 11 13 14 16 16 13 10 7 5 5 6 7 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 6 7 7 7 7 8 8 8 8 8 8 7 7 6 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 10 10 10 10 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 10 11 10 10 10 11 11 10 10 10 11 12 12 11 10 11 nan
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nan 11 10 9 10 10 9 7 6 6 7 8 8 7 6 3 1 -2 -2 -0 1 4 7 8 8 8 6 6 6 7 7 8 8 9 8 7 6 6 7 8 10 10 10 9 9 9 9 9 10 10 11 11 11 12 12 12 13 13 13 13 13 12 11 10 8 7 6 5 4 4 4 4 5 6 7 7 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 12 12 13 13 14 14 14 14 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 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 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 11 9 8 8 8 8 8 nan
nan 12 11 10 9 9 8 7 6 5 6 8 9 9 8 6 4 1 0 3 7 11 15 16 14 11 9 8 8 9 9 8 8 7 6 5 5 6 7 10 11 11 10 9 9 9 9 9 10 10 11 11 11 12 12 12 12 13 13 12 12 11 10 8 7 5 4 3 3 3 3 4 5 5 6 7 7 8 8 8 9 9 10 10 10 10 9 10 10 10 9 9 9 9 9 10 10 11 11 12 12 13 13 13 14 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 9 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 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 8 8 8 8 nan
nan 12 11 9 9 8 8 7 6 5 6 7 8 9 9 9 7 6 6 10 16 22 26 27 23 18 15 13 12 12 11 10 9 8 6 6 6 7 10 12 13 11 9 8 8 8 8 9 10 10 11 11 12 12 12 12 12 12 12 11 11 10 9 7 5 3 3 3 3 4 5 5 6 6 6 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 13 13 13 13 13 13 13 12 11 11 10 10 10 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 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 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 8 8 8 8 nan
nan 10 10 10 9 9 9 10 9 7 6 6 7 8 8 8 8 8 10 15 22 29 34 34 29 22 18 16 14 13 12 11 10 9 8 8 10 11 13 14 12 10 8 8 7 7 8 8 9 10 10 11 11 12 12 12 12 12 12 11 10 9 8 6 4 3 3 4 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 12 12 12 13 13 13 13 12 12 11 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 9 9 8 8 7 7 nan
nan 9 9 10 11 11 12 12 11 9 7 6 5 5 6 6 6 8 11 17 24 31 35 33 28 22 17 15 13 12 12 11 11 10 10 11 13 15 16 14 11 8 7 7 7 7 7 8 9 9 10 11 11 12 12 12 12 12 12 11 10 9 8 5 3 3 4 6 8 10 10 8 8 8 7 7 7 7 7 7 8 8 9 9 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 8 7 7 nan
nan 9 9 9 10 11 13 14 14 11 8 5 4 3 4 4 5 7 11 17 24 30 31 28 23 18 14 12 11 10 10 10 11 11 12 13 16 17 18 15 10 8 7 7 7 6 7 8 8 9 10 10 11 11 11 12 12 12 12 12 11 10 8 5 4 4 5 7 10 11 11 9 8 7 6 6 6 7 8 8 8 9 9 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 10 10 9 8 8 nan
nan 9 9 8 9 10 11 13 13 11 9 7 5 4 3 3 3 5 9 14 20 25 26 22 18 14 12 10 10 10 9 10 10 11 12 14 16 17 17 15 11 10 9 8 7 6 6 7 8 9 9 10 10 11 11 11 12 12 12 12 12 10 9 7 6 6 7 10 12 12 10 9 7 6 6 6 7 8 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 10 9 nan
nan 9 8 8 8 8 9 11 12 12 11 10 8 7 6 5 4 4 6 10 15 19 21 18 15 13 11 10 10 9 9 9 10 12 12 13 14 14 14 14 13 13 12 10 8 6 6 7 8 8 9 10 10 11 11 11 11 11 12 12 11 11 10 10 9 10 11 13 13 12 10 8 6 5 5 6 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 6 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 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 11 10 nan
nan 8 8 8 8 8 8 9 11 13 13 13 12 10 9 8 7 7 6 8 11 15 17 16 15 13 12 11 10 9 9 9 11 12 12 12 10 10 12 15 17 19 18 14 10 7 6 7 8 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 13 14 15 15 14 12 10 8 7 6 7 8 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 nan
nan 7 7 8 8 8 8 8 10 11 13 13 12 11 10 9 9 9 9 10 12 13 14 15 14 13 12 11 9 9 9 10 11 12 12 10 8 8 13 18 22 25 23 18 12 8 7 7 8 8 9 9 9 10 10 10 10 11 11 12 12 12 12 13 14 14 15 15 14 12 11 9 8 8 9 10 11 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 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 9 9 9 10 10 9 8 6 5 4 nan
nan 6 6 7 9 9 8 8 9 10 11 11 10 9 8 6 7 8 11 13 14 14 13 13 13 13 13 11 10 9 8 9 10 10 9 8 8 11 16 22 26 28 26 19 13 9 8 7 8 8 8 9 9 9 9 9 10 11 11 12 13 13 13 13 12 13 13 12 12 11 10 10 10 10 10 11 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 13 13 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 6 5 4 nan
nan 6 5 6 8 9 7 7 7 8 9 10 10 9 7 6 6 8 11 14 15 14 13 13 13 13 13 11 10 8 7 6 5 4 3 5 9 15 21 25 27 28 24 17 12 10 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 13 13 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 10 11 11 10 9 8 6 6 nan
nan 6 5 6 8 9 7 5 4 5 6 8 9 10 9 9 8 9 11 12 13 12 12 12 12 12 12 11 9 7 4 2 -0 -2 -1 5 12 18 22 24 24 23 19 14 11 9 8 8 7 8 8 8 8 7 7 8 8 9 10 11 11 12 12 12 12 11 10 9 9 9 10 10 10 10 10 11 11 11 12 11 11 11 11 11 11 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 8 9 9 10 11 11 10 9 8 7 7 nan
nan 7 6 7 9 11 10 8 6 5 5 6 7 9 10 10 10 11 13 14 12 11 10 10 10 10 9 8 7 5 1 -2 -4 -4 3 12 17 20 20 19 18 16 14 12 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 15 15 15 15 15 15 15 15 15 14 14 14 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 9 9 8 8 7 7 8 8 8 8 8 8 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 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 8 8 nan
nan 7 5 7 11 13 13 12 11 10 9 8 7 7 7 7 8 10 15 18 17 15 12 9 8 7 6 5 5 3 0 -3 -4 1 10 18 21 20 17 14 13 12 11 10 10 9 8 8 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 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 14 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 13 13 13 12 12 11 11 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 9 9 9 nan
nan 6 5 7 10 13 14 14 13 13 13 12 10 9 8 7 8 11 18 24 25 23 18 12 8 5 3 2 3 3 2 -1 1 6 13 18 19 17 14 12 10 10 10 9 9 9 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 13 14 14 15 15 15 15 15 15 15 14 14 14 14 15 15 15 14 14 14 13 13 12 12 11 10 10 9 9 9 9 8 9 9 9 9 10 10 10 10 11 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 9 9 10 11 11 nan
nan 6 6 8 11 13 13 13 12 12 13 14 14 13 12 12 13 16 23 28 29 28 22 15 8 4 1 2 3 5 6 5 6 9 12 15 15 14 12 10 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 13 13 12 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 11 11 11 nan
nan 6 7 9 11 14 15 14 12 10 10 11 13 15 17 19 20 23 26 28 28 26 21 14 7 4 2 3 6 9 10 9 9 10 11 12 13 13 13 11 10 9 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 9 9 9 10 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 14 14 14 15 15 15 15 15 15 16 16 16 16 16 17 16 16 16 15 15 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 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 nan
nan 5 5 7 10 14 17 16 14 10 7 7 9 13 19 24 25 25 24 24 23 20 17 11 6 4 5 7 10 12 13 11 9 9 10 11 13 15 14 13 11 10 8 8 7 8 8 8 8 7 7 7 7 6 6 7 7 8 8 8 9 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 15 15 16 16 17 17 17 17 17 17 17 17 17 17 16 16 16 15 15 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 9 8 7 8 9 nan
nan 6 4 6 8 12 16 18 15 11 6 4 6 10 17 23 25 22 20 18 17 15 13 9 6 6 6 9 12 13 12 10 8 8 9 11 13 16 16 15 13 11 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 13 14 14 15 15 16 16 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 15 15 14 13 13 13 13 13 13 13 14 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 13 13 12 12 10 9 8 8 nan
nan 11 8 8 8 11 15 17 16 13 8 5 5 8 12 17 18 17 15 13 13 12 10 8 6 5 6 8 10 11 10 8 7 7 8 10 13 16 17 16 15 13 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 12 13 14 14 15 16 16 16 17 16 16 16 15 15 15 15 16 16 17 17 17 17 17 17 17 16 16 15 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 11 12 13 14 14 14 13 12 11 10 9 nan
nan 14 12 10 9 10 12 14 15 13 10 7 5 6 8 10 11 11 10 10 10 9 8 6 5 4 4 5 6 8 8 7 6 6 7 9 12 15 17 17 16 14 13 11 10 10 10 9 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 13 14 14 15 15 15 15 15 15 15 14 14 13 13 13 13 13 14 15 16 16 17 17 17 17 16 16 15 15 14 14 15 15 15 15 15 15 15 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 12 12 11 10 9 10 10 11 11 11 11 11 11 11 10 10 nan
nan 12 11 10 9 9 9 11 12 12 11 9 7 6 6 6 7 7 7 8 8 8 7 5 4 3 3 3 4 5 6 6 6 6 6 8 10 13 15 16 16 15 14 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 12 13 14 14 15 15 14 14 13 13 13 12 11 11 11 11 11 12 12 13 14 15 16 16 16 16 16 15 15 14 14 15 15 15 15 15 15 15 15 15 15 15 14 14 14 13 13 13 12 12 12 12 12 12 11 12 12 12 12 13 12 12 12 12 11 11 11 11 11 12 12 13 14 14 14 13 11 10 9 9 9 9 9 9 10 10 10 10 10 nan
nan 8 9 9 8 8 8 9 9 10 10 10 11 11 10 8 7 7 7 7 8 8 7 6 5 4 3 3 3 4 5 5 5 5 6 7 9 11 13 15 15 15 14 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 11 11 12 13 14 14 14 14 13 12 12 12 11 11 11 10 9 10 11 11 12 13 14 14 15 15 15 15 14 14 14 14 14 14 14 15 15 15 15 16 16 16 16 15 15 15 14 14 14 13 13 13 13 12 12 12 12 13 13 13 14 14 13 13 12 12 12 11 10 9 9 10 11 11 12 12 13 13 12 10 10 9 9 9 9 9 9 10 10 9 9 nan
nan 7 7 8 9 9 9 8 8 7 8 11 14 17 16 14 11 10 9 9 9 9 9 8 8 7 6 5 5 4 5 5 5 5 6 6 8 10 11 13 14 14 13 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 14 14 13 13 12 11 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 11 11 12 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 16 16 16 16 15 15 15 14 14 14 14 14 14 14 14 14 13 14 14 14 15 15 14 14 13 14 13 12 11 9 8 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 nan
nan 8 8 9 10 11 11 9 7 6 6 9 14 20 21 19 17 14 12 11 10 9 9 9 9 9 8 8 7 7 6 6 6 6 6 7 8 9 10 11 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 15 16 16 16 16 16 15 15 15 15 14 14 14 15 15 15 15 15 15 15 15 15 15 14 15 16 16 16 15 13 11 10 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 12 9 9 10 12 11 10 8 6 5 7 13 17 20 20 18 15 12 10 9 8 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 15 15 16 16 15 15 15 15 15 15 15 15 15 16 16 17 17 17 17 16 15 13 12 13 14 15 16 15 15 14 13 12 12 12 12 12 11 11 10 10 10 10 10 10 9 9 8 8 9 9 9 9 nan
nan 15 11 9 10 11 11 10 9 7 7 8 11 12 14 14 13 11 9 7 6 6 6 7 8 9 10 10 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 9 9 9 10 10 11 12 13 13 13 13 13 13 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 14 14 15 15 15 15 15 15 15 15 16 16 16 16 16 16 17 17 18 18 17 15 12 11 11 12 12 12 12 13 14 14 14 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 nan
nan 16 12 10 10 10 11 10 10 11 11 11 10 9 8 8 7 6 5 4 4 5 6 7 8 9 9 10 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 9 10 11 11 12 13 13 13 13 12 12 12 11 11 11 10 9 9 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 11 11 11 12 12 13 13 13 14 14 14 15 15 15 15 15 16 16 16 16 16 16 16 16 17 17 17 16 15 14 13 13 13 12 11 12 13 14 15 16 15 13 12 11 10 10 9 9 10 10 11 11 12 12 12 11 11 11 10 10 nan
nan 13 12 11 11 11 12 12 13 13 14 14 13 10 7 5 4 2 2 2 4 6 8 10 11 10 10 10 11 11 12 12 13 13 13 12 12 11 10 9 9 8 8 8 7 7 7 7 8 8 9 10 10 11 12 12 12 12 12 12 12 12 11 10 10 9 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 13 13 13 14 14 14 15 15 15 15 16 16 15 16 16 17 17 18 18 18 17 16 16 16 16 16 16 16 16 15 16 17 18 18 16 14 12 11 11 12 13 12 12 11 11 12 13 13 14 13 13 12 11 11 nan
nan 11 11 12 12 12 13 13 13 14 14 15 14 14 11 9 5 1 0 2 5 9 12 15 15 14 13 12 12 12 12 12 13 13 13 13 12 11 10 9 9 8 8 8 7 8 8 8 8 8 8 8 8 9 10 10 11 11 12 12 12 12 12 11 11 10 9 8 8 8 9 9 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 13 13 13 13 14 14 14 14 15 15 15 15 16 17 18 19 19 18 18 17 16 15 16 16 17 19 19 19 18 18 18 18 18 16 15 14 14 15 16 17 17 16 14 12 12 12 12 12 12 13 13 13 12 nan
nan 9 10 10 11 11 11 12 12 12 14 15 16 17 16 14 8 3 1 2 6 10 15 19 20 18 16 14 13 12 13 13 13 14 14 13 13 12 11 10 9 9 8 8 8 8 9 8 8 8 7 7 7 7 8 8 9 10 11 12 13 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 13 13 14 14 15 14 14 14 15 15 17 18 18 18 17 16 16 15 15 14 14 15 16 18 18 18 17 17 17 16 16 15 15 16 17 18 19 19 19 18 17 14 12 11 10 9 10 12 15 16 15 nan
nan 8 8 7 7 8 8 8 9 11 14 17 20 21 21 19 13 7 4 5 7 12 18 21 22 20 18 16 14 13 13 13 14 14 14 14 13 12 12 11 11 10 10 10 9 10 10 10 9 9 8 7 7 7 7 7 8 8 9 11 12 12 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 12 13 14 15 15 14 14 14 15 16 17 17 16 15 14 13 13 13 13 13 14 14 14 15 15 15 15 15 15 14 14 14 15 16 17 17 17 17 18 19 19 17 15 13 11 8 8 11 14 17 18 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1138 1142 1171 1175 1128 1075 1079 1099 1113 1138 1191 1250 1282 1298 1307 1297 1254 1171 1059 905 707 496 298 143 59 31 22 16 11 9 6 0 0 0 0 0 0 1 7 23 44 55 49 39 34 33 22 23 33 45 58 71 83 95 112 132 150 178 205 227 275 352 417 412 359 294 239 203 183 176 171 161 150 139 128 114 106 100 97 96 95 90 81 67 50 27 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 14 23 30 35 39 43 45 49 55 62 69 87 105 121 124 119 116 124 143 155 156 162 173 185 200 224 250 284 321 356 384 403 408 400 355 330 321 324 337 345 337 311 294 296 311 336 378 446 548 644 747 840 926 996 1004 936 933 1005 1064 1083 1078 1075 1092 1119 1137 1144 1150 1153 1137 1103 1075 1074 1089 1105 1121 1147 1190 1223 1246 1258
1129 1151 1173 1152 1083 1036 1019 1040 1067 1102 1156 1214 1244 1264 1276 1261 1207 1109 964 770 547 336 173 78 38 27 22 18 13 9 5 0 0 0 0 4 4 5 12 26 37 39 31 23 20 20 15 20 25 30 36 47 61 75 90 114 131 154 170 181 206 256 326 357 338 293 247 215 193 187 177 167 159 150 137 124 115 109 105 102 99 95 86 71 53 30 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 14 22 28 31 36 40 43 45 46 48 54 80 99 110 112 112 118 132 154 165 155 151 156 169 188 214 239 270 304 340 375 399 398 404 366 354 349 347 353 362 355 324 313 324 338 350 376 422 507 597 680 759 843 921 955 934 953 1035 1088 1095 1088 1095 1117 1163 1177 1194 1208 1201 1170 1134 1117 1109 1100 1100 1113 1138 1183 1224 1235 1239
1117 1147 1159 1117 1025 972 955 985 1028 1073 1122 1174 1221 1239 1231 1200 1127 993 798 578 366 198 93 44 29 26 24 19 11 6 2 0 0 0 0 2 2 3 9 16 21 21 17 15 13 11 10 14 19 22 25 33 45 62 80 99 116 130 140 146 159 187 236 279 291 275 251 230 214 202 188 177 170 162 149 136 126 118 111 105 100 94 84 69 50 29 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 10 14 20 23 25 31 35 38 40 40 42 48 72 82 89 94 102 116 137 158 166 153 147 154 171 190 213 235 264 294 327 362 386 375 375 364 366 367 364 364 372 370 340 338 346 351 352 363 395 457 535 608 671 725 786 880 916 934 1003 1060 1077 1078 1102 1109 1154 1181 1201 1210 1200 1167 1131 1110 1094 1069 1064 1080 1090 1109 1131 1163 1173
1131 1196 1178 1111 1033 974 969 982 1018 1061 1103 1141 1173 1187 1173 1118 988 794 571 367 208 111 58 35 26 23 20 16 5 1 0 0 0 0 0 0 0 1 2 4 5 6 8 10 11 9 5 7 12 15 15 19 30 48 69 84 96 104 107 110 119 140 176 221 251 257 249 238 225 204 184 173 166 160 152 143 134 125 117 109 99 89 77 63 45 27 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 9 10 11 14 18 21 25 27 31 36 42 50 65 66 72 84 99 117 139 161 164 155 154 166 185 206 226 248 270 295 320 346 365 364 358 356 361 364 366 373 388 385 358 355 353 346 340 343 360 393 447 503 558 601 642 754 820 866 940 1013 1041 1036 1082 1108 1141 1176 1197 1197 1177 1143 1112 1085 1044 998 978 989 1007 1034 1041 1023 1034
1124 1213 1146 1093 1040 989 991 982 998 1036 1076 1108 1129 1130 1084 953 752 527 326 182 102 66 47 34 25 19 14 8 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 11 9 5 2 4 6 5 7 19 37 55 66 71 74 75 78 87 106 140 185 221 238 241 233 217 191 166 154 147 144 142 138 132 126 121 113 104 93 80 64 46 27 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 9 10 11 13 14 15 17 20 27 35 43 55 62 63 71 86 104 123 142 161 167 167 174 189 209 230 253 276 285 302 316 325 332 338 335 335 338 341 349 371 408 405 376 367 361 352 340 329 318 328 355 390 435 470 497 588 679 755 840 933 982 977 1034 1111 1148 1170 1181 1176 1157 1127 1085 1055 1006 941 893 887 913 940 933 919 950
1103 1171 1100 1024 979 955 945 933 946 989 1034 1063 1059 997 866 675 461 274 143 71 46 41 36 29 22 14 7 2 0 0 0 0 0 0 0 0 0 1 6 11 14 15 15 14 12 7 2 0 0 0 0 2 10 23 35 42 46 46 46 51 61 81 114 158 194 211 213 207 192 170 148 133 126 124 123 120 117 116 118 117 113 104 91 73 53 32 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 12 13 13 13 15 19 27 40 53 63 67 71 79 92 106 121 138 155 172 186 200 215 233 255 284 315 313 321 322 314 307 311 318 318 316 317 328 356 398 398 387 386 388 385 372 343 313 305 316 345 378 395 400 443 529 622 723 829 903 928 992 1078 1122 1136 1140 1140 1130 1101 1061 1030 993 935 881 865 894 931 928 990 1004
1062 1055 1008 957 924 880 841 830 861 912 939 923 853 724 549 362 208 110 56 34 28 26 25 23 19 12 4 0 0 0 0 0 0 0 0 0 3 18 45 45 34 27 22 16 11 5 2 0 0 0 0 0 2 9 18 26 29 27 27 31 42 64 95 133 164 173 177 176 166 149 133 119 110 106 104 101 98 99 109 117 119 115 103 84 60 35 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 10 11 12 14 16 20 33 50 65 71 74 80 86 92 100 111 127 145 171 197 221 242 261 282 311 344 346 344 334 317 302 301 312 312 304 302 324 362 386 386 390 391 388 388 388 380 364 345 347 362 376 376 362 353 398 481 584 701 803 869 950 1038 1086 1095 1096 1100 1094 1065 1042 1012 970 929 904 896 887 887 882 908 923
1024 987 962 911 818 730 679 677 709 739 722 663 567 426 275 147 72 43 32 29 27 25 22 18 14 8 3 0 0 0 0 0 0 0 0 0 2 13 74 73 49 29 18 12 7 2 1 0 0 0 0 0 0 4 12 21 26 26 25 29 39 57 86 120 143 146 146 146 143 134 123 111 100 94 89 86 82 80 85 100 110 110 102 84 58 30 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 9 14 18 26 39 54 65 70 73 79 81 83 88 99 115 135 161 197 235 273 302 323 342 375 377 368 353 335 319 313 311 309 292 287 314 360 380 376 369 360 354 355 363 372 370 362 362 366 367 356 328 294 300 346 429 560 711 821 898 991 1051 1069 1064 1056 1049 1033 1024 993 939 884 844 823 812 799 748 711 718
998 951 897 803 645 533 487 482 488 477 436 379 313 218 125 60 34 28 29 31 32 32 29 22 11 2 0 0 0 0 0 0 0 0 0 0 0 3 26 37 29 16 7 3 2 0 0 0 0 0 0 0 0 4 14 25 33 36 39 43 52 68 94 119 129 124 123 124 125 123 116 104 91 81 76 71 66 62 64 74 85 88 82 67 44 19 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 6 15 21 29 39 45 50 57 64 64 68 74 82 94 111 129 153 193 240 286 324 353 382 414 417 408 395 380 362 340 303 298 285 278 294 326 346 344 332 320 315 308 296 291 295 304 311 316 316 303 272 250 233 247 305 432 608 766 853 938 1015 1048 1046 1032 1021 1023 1017 976 901 814 751 742 771 786 756 711 679
901 793 698 576 422 332 296 277 256 224 187 161 144 108 69 40 29 27 29 32 36 41 42 34 15 2 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 3 1 0 0 0 0 0 0 0 0 1 5 15 34 53 62 63 63 69 81 100 122 137 135 126 119 118 119 119 113 101 85 74 68 63 57 53 51 54 59 60 56 47 31 12 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 3 10 18 22 26 28 31 41 52 53 52 60 70 78 87 102 125 148 186 231 277 322 365 409 444 455 449 436 415 386 346 293 286 276 268 274 293 310 303 291 275 266 253 234 224 227 233 237 234 230 221 195 179 165 178 231 342 514 711 833 900 955 982 994 1004 1012 1011 995 954 879 794 735 727 788 806 758 722 679
732 600 468 331 217 154 131 110 90 70 55 52 56 57 49 40 34 31 29 29 34 41 45 40 25 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 3 16 48 90 114 112 95 84 85 102 130 155 164 155 137 123 119 120 119 112 98 83 74 70 65 60 54 49 46 45 43 40 35 24 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 19 22 23 23 25 31 38 39 44 60 76 89 101 113 126 140 172 214 256 302 351 394 425 440 440 426 397 357 312 267 261 256 251 255 273 290 272 258 250 246 236 218 202 194 184 174 163 164 175 166 149 147 171 219 308 453 639 776 844 882 903 925 959 1001 990 962 921 852 770 717 729 814 829 760 738 717
614 405 233 121 62 42 36 31 26 22 21 24 31 40 53 59 55 42 29 23 23 24 27 26 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 21 22 9 2 0 5 28 86 155 179 153 111 83 77 93 126 157 171 166 149 134 130 131 125 112 97 86 81 77 73 67 61 53 46 41 36 33 30 25 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 13 18 20 22 23 22 22 22 27 43 66 86 100 110 116 121 130 156 191 229 268 307 339 361 369 381 373 340 292 248 219 221 230 235 243 264 292 272 248 246 248 242 227 210 192 166 140 128 139 163 169 156 156 180 214 274 376 499 647 734 787 817 840 875 933 914 905 877 812 733 688 716 785 834 838 789 716
472 217 71 13 1 6 12 16 17 18 20 25 33 44 66 79 70 47 24 11 9 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 24 67 70 29 8 1 6 26 70 141 196 157 100 70 65 78 106 136 157 166 164 159 160 159 143 119 99 89 88 86 81 75 67 59 50 43 37 33 31 28 21 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 7 10 13 17 20 21 20 19 20 29 46 70 89 99 106 108 107 112 131 157 185 214 243 273 295 301 320 315 280 228 185 166 185 215 235 246 257 272 274 255 249 253 258 254 234 207 174 151 142 143 142 131 123 144 171 205 258 324 372 452 528 592 653 712 769 827 845 842 823 773 706 660 683 734 858 954 924 800
265 90 17 1 2 5 11 16 18 21 26 32 39 49 67 73 61 36 13 2 0 0 0 0 6 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 33 85 108 48 13 2 3 14 45 110 186 140 87 65 65 78 101 123 142 156 166 174 181 178 155 126 104 94 93 92 86 79 72 64 56 48 42 38 34 30 24 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 5 8 14 18 19 18 18 21 31 49 74 89 95 97 94 89 89 98 114 131 152 176 206 238 265 282 272 235 188 151 145 173 215 249 268 271 268 265 269 287 317 343 341 293 262 233 218 201 174 143 117 100 120 155 196 240 279 291 292 308 344 412 504 597 687 755 779 769 729 668 611 626 687 857 960 943 842
75 22 1 0 1 4 9 14 19 26 37 44 49 52 57 55 40 19 5 0 0 0 0 0 5 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 26 56 74 33 8 1 0 7 28 74 119 105 83 72 76 88 102 115 125 135 145 158 171 178 161 136 115 102 97 94 88 83 76 68 59 52 46 41 37 32 26 18 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 1 4 9 15 17 19 25 32 42 59 83 92 96 96 91 81 74 74 82 93 108 129 160 206 247 267 251 208 165 143 142 156 210 259 284 292 301 327 364 404 449 474 453 390 370 350 315 263 206 159 135 118 128 150 175 205 242 265 242 211 194 224 299 379 476 587 661 687 674 629 559 562 643 768 870 921 922
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