Vorticity
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nan 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 11 14 16 17 16 14 11 8 8 7 8 8 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 9 10 11 13 14 16 17 18 18 17 16 14 13 12 12 11 10 10 10 9 9 9 9 8 8 9 9 10 10 10 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 nan
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nan 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 9 10 12 13 15 16 17 18 18 17 16 13 10 8 8 9 9 8 7 8 13 20 27 33 33 29 25 22 19 18 15 15 15 15 14 11 7 5 4 5 7 9 11 13 13 13 12 12 11 11 10 10 10 10 9 10 10 10 11 11 10 10 10 11 11 12 11 11 11 11 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 13 14 15 15 15 15 15 14 12 11 8 6 6 7 8 7 6 6 8 12 19 25 30 31 28 25 22 19 17 16 15 16 16 16 13 8 5 3 4 6 9 12 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 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 10 10 10 11 11 11 11 11 nan
nan 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 10 10 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 11 11 11 11 10 10 10 9 9 10 11 12 13 12 12 11 10 9 8 7 7 6 6 7 8 8 8 7 6 6 7 10 16 21 25 26 25 24 22 19 17 16 16 17 18 19 16 11 7 3 3 5 8 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 10 10 10 10 10 10 11 11 10 10 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 8 7 6 5 5 5 4 5 6 7 9 11 11 10 8 5 4 4 7 12 17 21 23 23 23 22 19 17 17 16 17 18 20 19 14 10 4 2 5 8 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 nan
nan 11 11 11 11 12 11 11 11 11 10 10 10 11 11 11 11 12 11 11 10 10 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 10 10 9 7 7 7 7 6 6 6 7 9 11 13 15 14 12 9 6 4 3 6 12 16 20 22 22 22 21 19 18 17 16 17 18 20 19 16 12 7 4 6 8 10 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 13 13 12 12 11 11 11 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 12 11 10 9 9 11 13 15 16 17 15 13 11 9 8 8 11 16 19 22 23 23 22 20 18 16 16 15 16 18 19 19 17 14 8 6 7 8 11 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 11 11 10 11 12 12 13 12 12 11 10 10 10 10 10 10 10 10 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 nan
nan 12 12 12 13 13 13 13 13 13 13 12 12 13 13 13 13 12 12 11 10 10 10 9 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 10 10 9 9 9 10 10 10 10 10 9 10 11 13 14 15 15 15 15 14 13 12 11 11 12 15 17 18 18 16 14 13 12 11 11 13 16 19 21 22 23 23 22 19 17 14 13 13 15 18 20 20 18 13 8 6 7 8 11 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 10 10 10 11 11 11 12 13 13 13 13 13 12 12 12 12 11 11 12 13 15 16 16 15 12 11 11 12 12 13 14 16 17 18 19 20 20 20 19 17 14 12 11 14 16 19 20 17 12 8 7 7 9 11 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 10 10 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 nan
nan 12 12 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 9 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 13 13 13 12 12 11 10 10 10 9 9 10 10 11 11 12 13 13 13 13 11 10 10 9 10 10 11 12 12 11 11 11 12 11 11 11 12 14 17 19 19 18 16 15 15 16 17 18 18 18 17 15 13 11 11 13 15 17 15 12 9 8 8 10 11 12 12 12 12 11 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 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 nan
nan 11 11 11 11 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 8 9 9 10 11 11 10 10 10 11 12 13 14 16 19 22 26 28 27 25 22 20 19 19 19 19 18 17 16 16 15 13 11 9 9 10 10 10 10 9 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 12 12 11 11 11 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 9 9 10 10 10 8 7 8 10 13 17 20 22 23 25 27 28 29 27 26 25 24 24 24 23 20 17 15 14 15 16 16 14 10 5 2 4 6 8 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 7 7 8 8 9 10 9 8 6 6 7 9 14 19 21 22 23 23 23 22 20 20 20 20 21 23 23 23 20 17 13 12 14 17 19 18 13 7 2 1 2 6 8 9 10 10 11 11 12 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 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 12 11 10 9 8 7 8 8 8 9 8 7 5 5 7 10 14 17 18 18 17 17 16 15 15 14 15 15 16 18 20 20 18 15 11 11 14 17 21 19 14 9 5 3 4 6 8 8 9 10 11 11 11 11 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 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 13 13 13 14 14 15 15 15 15 15 15 15 15 16 16 16 16 16 15 14 13 12 11 10 10 9 9 9 9 8 7 6 5 7 11 14 16 16 15 14 14 14 14 13 13 13 13 15 17 18 19 16 12 9 9 13 17 20 16 9 6 5 5 7 8 8 8 8 9 10 11 11 12 12 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 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 10 10 9 9 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 13 13 13 13 14 14 15 16 16 17 17 17 17 17 17 17 16 16 16 15 15 14 14 14 14 14 13 13 12 11 11 10 8 7 6 8 12 15 15 15 15 15 15 15 15 14 14 13 13 14 15 17 18 17 14 11 11 14 17 17 12 6 4 3 5 8 9 8 7 8 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 13 13 13 14 14 15 15 16 16 16 16 16 16 15 15 14 13 13 12 12 12 13 14 15 15 15 14 13 12 11 10 9 9 9 11 13 14 13 13 14 15 16 16 16 15 14 13 12 11 12 13 17 20 19 18 17 17 17 15 10 6 5 5 7 9 9 8 7 8 9 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 12 11 10 10 10 10 10 11 12 13 13 13 12 10 10 9 9 10 11 12 12 12 12 13 15 16 17 17 16 15 14 11 8 7 7 10 16 21 23 24 24 22 19 14 10 7 7 9 11 11 9 8 7 8 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 14 14 13 13 12 11 10 10 10 11 11 11 11 11 11 10 10 9 9 8 9 9 10 10 10 9 8 8 8 8 8 8 9 10 12 14 17 18 17 17 16 15 14 12 9 7 6 7 11 17 22 25 27 27 24 19 15 10 8 10 13 14 12 10 7 7 8 9 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 10 10 11 11 11 12 12 12 12 11 11 10 9 9 8 8 8 7 6 5 5 5 6 7 6 4 4 6 10 15 19 19 17 16 15 14 12 10 9 8 9 12 16 20 24 26 27 26 23 18 14 11 10 13 15 16 14 11 8 7 7 8 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 12 11 10 10 10 9 7 5 2 0 1 2 4 3 1 -0 1 4 9 15 18 17 16 15 13 12 10 10 10 11 14 18 21 23 25 26 27 25 20 16 13 11 12 15 17 17 15 13 10 8 7 7 9 10 11 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 15 15 16 16 15 15 15 15 15 15 15 14 14 13 12 12 11 11 10 9 8 6 3 2 2 2 3 0 -1 1 4 10 16 19 19 17 16 14 12 11 11 12 15 18 21 24 25 25 26 26 25 22 16 12 10 11 13 15 17 17 16 15 13 9 8 7 8 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 11 11 11 11 11 nan
nan 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 10 11 12 13 13 13 12 12 13 13 13 14 13 13 13 13 12 12 12 12 13 13 13 12 12 12 13 13 13 13 13 14 14 14 15 15 15 15 15 14 14 13 13 14 14 14 14 13 12 11 11 11 10 10 9 8 8 9 9 10 10 9 6 7 9 13 18 21 21 19 17 15 12 9 7 8 10 15 19 24 26 26 26 27 26 24 19 13 8 6 9 13 15 16 17 17 16 14 10 9 7 8 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 13 13 14 14 15 15 15 14 13 13 13 13 13 14 15 15 15 15 15 15 14 14 14 14 15 15 15 14 13 13 13 12 12 12 12 12 12 13 13 12 12 11 11 10 10 10 9 9 9 10 12 13 15 16 15 13 12 12 12 14 16 16 16 15 13 9 6 3 2 3 6 12 17 21 24 25 26 26 24 19 12 7 5 7 12 14 16 17 17 16 14 11 9 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 12 12 13 13 14 16 16 17 17 16 16 15 15 15 15 15 15 15 14 13 13 12 12 12 12 13 13 13 12 12 12 12 11 11 10 10 9 9 8 9 10 10 11 11 10 8 6 3 2 3 7 12 15 16 16 14 11 8 6 4 3 5 8 12 17 21 23 25 25 23 20 13 8 7 9 12 14 16 17 17 17 15 12 10 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 nan
nan 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 13 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 12 12 13 14 14 14 14 14 14 14 14 14 15 16 16 16 16 16 16 15 14 14 13 13 13 13 13 13 13 13 12 12 12 11 10 10 9 8 8 9 8 8 6 5 2 0 -2 -3 -0 5 13 18 20 20 18 16 16 16 16 16 16 16 17 18 20 22 23 24 23 21 18 13 9 10 11 13 15 15 16 17 17 16 13 11 10 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 15 16 16 16 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 14 14 15 15 15 14 14 13 13 14 15 15 16 17 18 18 18 18 17 17 16 15 15 14 14 14 14 14 13 13 13 13 12 11 10 10 9 8 8 8 8 7 6 5 4 4 4 6 11 17 22 24 23 21 18 18 19 22 23 24 25 26 26 25 25 24 24 23 22 19 15 12 11 12 13 14 14 14 16 17 17 17 15 12 10 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 nan
nan 11 11 11 11 11 11 11 11 11 12 12 13 14 15 16 17 18 18 19 18 17 15 14 14 14 15 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 18 17 17 16 16 16 16 17 18 19 19 20 20 20 19 19 18 17 16 15 14 14 14 14 14 14 14 14 14 13 12 11 10 9 8 8 8 8 8 9 10 12 13 13 14 16 19 22 24 23 21 18 17 18 20 22 24 26 27 28 28 28 27 27 26 24 21 18 14 12 13 14 14 14 14 14 15 16 17 16 15 13 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 nan
nan 11 11 11 12 12 13 14 14 14 14 15 16 17 18 18 18 18 18 17 16 15 14 14 14 16 17 18 17 17 17 17 17 17 17 17 17 17 16 16 16 17 17 18 18 17 17 17 17 17 17 18 19 19 19 19 19 18 17 17 16 15 14 14 14 14 14 14 14 14 14 14 14 13 12 11 10 9 8 7 8 8 9 11 12 14 15 15 14 16 19 20 20 19 18 17 16 17 18 19 21 25 28 30 31 32 31 29 28 25 22 18 15 14 15 15 15 15 15 15 16 17 17 17 15 13 11 10 10 10 11 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 nan
nan 12 13 14 15 16 17 18 18 17 17 17 17 17 17 16 16 15 14 14 13 13 13 14 15 16 16 16 16 15 15 16 16 16 15 15 14 13 13 13 13 14 15 15 15 15 15 15 15 15 16 16 16 17 16 16 15 15 14 14 13 13 13 13 13 13 13 13 14 14 14 13 13 12 12 11 10 9 9 9 9 9 10 11 11 11 11 11 11 14 17 18 18 18 16 16 16 17 17 18 22 26 31 35 38 38 36 32 28 25 21 18 17 16 16 15 15 14 14 14 15 16 17 17 16 14 12 11 10 11 11 12 12 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 10 nan
nan 15 16 17 17 17 17 17 17 16 16 15 14 13 13 12 12 11 11 11 11 11 12 13 14 13 13 13 12 13 13 14 14 13 13 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 9 10 12 15 17 18 18 17 16 16 16 17 17 19 23 28 33 38 41 42 39 34 28 23 19 17 16 16 16 15 14 13 13 13 14 15 16 17 16 15 13 12 11 11 12 12 13 13 14 14 14 14 14 13 12 12 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 10 10 10 10 11 10 nan
nan 15 16 15 15 13 12 12 11 12 11 11 10 10 9 8 8 8 8 9 9 10 11 12 12 12 11 11 12 12 12 12 12 11 11 11 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 13 15 16 16 16 15 16 16 17 17 18 19 22 25 27 30 33 34 34 30 26 22 18 17 16 16 15 14 13 13 12 12 13 14 15 16 16 15 13 12 11 11 12 12 13 13 14 14 14 14 13 12 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 11 10 10 10 10 11 11 11 nan
nan 12 12 11 10 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 10 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 13 14 15 16 17 17 18 19 20 20 21 22 22 22 23 23 23 22 20 18 17 16 16 15 14 13 12 12 12 12 14 15 16 15 15 13 12 11 11 12 13 13 13 13 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 12 12 12 12 11 11 11 11 11 12 12 13 12 12 12 11 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
78 83 96 114 132 147 156 160 165 171 164 144 116 87 68 60 52 42 33 23 15 8 3 2 0 0 1 1 1 3 4 6 7 7 7 8 7 6 6 8 15 24 31 36 38 31 20 9 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 11 36 75 117 149 172 189 204 217 218 211 200 186 172 163 184 196 203 211 218 217 214 196 157 100 64 40 23 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6
35 45 57 69 83 109 133 151 161 165 158 145 127 107 90 76 62 50 38 28 19 11 5 2 0 0 0 0 0 1 4 6 8 9 10 10 11 11 12 16 25 33 39 44 45 36 19 6 0 0 0 0 0 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 16 51 103 146 152 154 162 174 176 164 147 128 112 107 117 131 148 169 193 213 226 213 175 123 78 45 23 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0 3 5 7 9 10 11 12 14
10 19 29 38 49 68 103 133 149 152 145 135 124 114 102 82 65 51 39 29 20 13 8 5 3 1 0 1 1 2 3 6 9 11 13 16 20 25 32 39 47 50 53 55 54 42 12 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 8 31 76 141 139 136 138 140 139 126 108 93 82 79 80 87 100 123 154 197 218 215 191 148 97 53 25 11 2 0 0 0 0 0 0 0 0 0 0 0 1 2 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 2 9 13 13 10 10 11 17 24 29 30 32 31 30 30
1 6 14 24 37 58 94 120 132 131 120 109 102 95 86 69 58 48 39 31 25 17 13 9 5 3 2 2 3 5 10 14 18 23 30 38 48 59 66 70 69 60 59 64 67 56 10 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 3 13 39 96 129 145 148 143 132 116 93 79 73 70 69 69 74 90 121 164 186 188 174 144 102 57 29 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 20 28 35 39 39 34 32 40 49 55 59 62 66 69 69 66
0 4 11 23 40 62 78 93 100 98 87 72 65 58 52 47 46 45 42 39 35 26 20 15 12 10 11 15 20 27 36 40 43 49 59 69 79 86 85 78 68 54 64 79 83 62 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 13 56 116 159 175 163 132 110 90 77 71 67 64 62 61 72 102 136 155 159 150 129 98 60 33 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 19 36 63 73 77 79 76 62 65 74 81 87 93 97 99 100 101 101
1 3 9 19 30 42 59 65 66 61 53 42 32 25 24 28 34 40 43 44 42 34 30 29 31 36 44 53 60 67 71 68 63 63 66 69 69 64 60 57 55 59 79 91 73 34 9 2 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 46 105 164 201 200 163 131 100 79 69 65 62 58 55 61 81 111 134 145 142 125 99 65 40 21 9 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 2 10 27 43 50 63 84 107 121 135 137 126 111 113 114 115 119 128 132 130 128 127 127
0 1 2 6 12 21 34 44 45 39 29 19 10 8 14 23 35 45 49 49 46 41 40 43 50 59 68 73 74 68 61 56 52 48 43 39 33 28 33 42 54 67 77 68 43 17 5 1 2 3 4 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 1 2 4 4 5 10 24 53 103 168 233 256 227 186 137 100 77 68 62 55 52 53 62 85 108 120 122 116 107 75 48 27 14 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 0 0 0 0 0 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 9 28 66 89 101 116 140 168 183 195 192 180 180 183 181 180 184 187 186 181 177 176 178
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