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 13 13 13 14 14 14 13 12 12 13 14 15 15 14 13 12 12 12 11 10 9 10 9 9 8 8 8 8 9 9 9 7 6 5 6 8 8 8 7 7 8 8 9 9 9 10 11 11 11 12 13 12 11 10 10 9 10 10 10 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 12 13 13 13 13 12 10 9 8 8 8 8 9 10 10 9 9 8 8 7 8 8 8 8 8 7 8 9 11 12 13 14 15 15 15 14 13 12 13 13 14 14 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 6 7 8 10 11 10 10 10 11 12 12 11 10 8 8 9 9 9 9 9 8 7 7 6 7 8 8 8 8 9 10 11 11 11 10 10 11 11 12 13 16 20 nan
nan 13 13 13 13 14 13 12 11 11 12 13 15 15 15 14 14 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 8 7 6 6 7 8 8 7 7 8 8 9 9 10 10 11 11 11 12 12 11 10 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 11 11 10 10 10 11 13 14 14 13 12 10 9 9 10 10 11 12 11 10 9 8 8 8 7 7 8 9 7 6 7 9 10 11 13 15 16 16 16 15 14 14 14 15 15 15 14 13 12 12 11 11 11 11 10 10 10 10 10 10 10 9 10 11 11 10 10 10 10 9 9 8 6 7 9 10 10 9 9 11 12 12 11 9 7 7 8 9 9 8 7 7 7 7 6 6 8 8 9 9 10 10 10 10 10 10 10 10 10 11 12 14 17 nan
nan 13 12 12 12 12 11 10 9 9 9 10 12 13 14 14 14 13 13 14 14 14 14 13 11 10 9 9 10 10 10 9 8 8 7 7 7 7 7 7 8 8 8 9 9 10 11 11 11 11 12 11 10 9 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 10 11 13 14 13 12 11 11 11 12 12 12 11 9 8 8 8 8 8 8 8 8 7 6 7 8 10 11 13 15 15 16 16 16 18 19 19 19 18 16 15 14 14 13 13 12 12 11 10 10 10 10 10 10 9 9 10 11 11 11 10 11 12 12 12 9 6 6 8 9 9 8 8 10 11 12 11 9 8 7 8 8 8 8 7 8 8 7 6 6 7 8 8 9 10 10 10 9 9 9 10 10 10 11 12 13 15 nan
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nan 9 10 11 11 11 11 10 9 8 8 9 9 10 11 11 12 12 11 10 9 9 9 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 14 13 12 10 9 8 9 10 12 14 15 16 15 14 13 14 15 16 16 15 15 15 16 17 17 17 17 17 17 17 17 16 15 14 13 13 13 13 12 12 12 11 11 10 10 10 11 11 11 9 8 8 8 10 10 11 10 10 9 9 9 9 8 9 9 9 10 10 10 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 13 13 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 10 10 10 10 11 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 10 9 8 8 9 9 nan
nan 10 11 12 12 12 11 9 8 8 8 9 9 9 10 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 11 12 14 15 16 16 15 14 13 12 12 13 14 14 14 15 16 17 18 18 18 17 17 16 15 14 13 12 12 11 12 12 12 12 12 12 11 11 10 10 11 11 11 10 9 9 9 10 11 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 11 11 11 12 12 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 nan
nan 12 13 14 14 13 11 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 12 13 14 15 15 15 14 13 13 12 11 11 11 11 11 12 13 15 16 16 16 15 14 13 12 11 11 11 11 11 11 11 11 11 12 12 12 11 9 9 9 10 11 11 10 10 10 10 10 11 11 12 11 11 10 8 8 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 9 10 10 10 10 9 9 10 10 10 9 9 9 9 9 10 10 nan
nan 16 17 18 18 16 13 11 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 11 11 10 10 9 8 8 10 12 13 14 14 14 13 13 12 12 12 11 10 10 9 9 10 11 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 11 11 12 12 11 9 8 8 9 10 10 10 9 9 10 10 11 11 12 12 12 11 9 8 7 7 8 8 8 8 9 9 9 10 9 9 10 10 11 11 12 12 13 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 12 12 13 13 12 12 11 11 10 11 11 11 11 10 9 9 9 9 9 9 8 8 8 9 9 nan
nan 17 19 20 21 19 15 12 9 8 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 11 12 14 14 14 13 13 12 12 11 11 11 10 10 9 10 10 10 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 9 8 8 8 8 8 8 8 9 9 10 11 11 12 12 11 9 8 8 8 7 8 8 8 9 9 9 9 9 10 10 11 11 12 14 14 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 10 11 11 11 11 12 12 13 13 13 13 12 12 12 12 13 12 12 11 9 9 9 9 9 9 9 8 9 9 9 nan
nan 15 17 19 19 17 13 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 10 10 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 10 11 12 13 14 14 14 14 13 13 12 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 9 8 8 8 8 7 7 7 7 8 9 10 11 11 11 11 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 11 12 14 15 15 14 12 9 8 8 9 10 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 13 14 13 13 12 10 10 10 10 10 10 10 10 10 10 10 nan
nan 13 15 16 15 13 11 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 11 10 9 8 8 9 10 10 10 9 9 9 9 9 10 10 10 10 10 12 13 15 15 15 14 15 15 16 16 14 12 10 9 9 10 11 12 12 12 12 12 11 10 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 9 8 8 7 7 7 7 8 9 10 10 11 12 12 11 11 11 10 9 8 8 8 8 8 9 9 9 9 10 11 13 14 14 14 12 10 9 9 10 12 13 14 14 14 12 11 11 11 12 13 13 13 13 13 13 12 11 11 11 11 12 12 12 12 11 11 12 12 13 13 13 13 13 13 13 12 11 11 10 11 11 11 12 12 12 11 10 nan
nan 14 15 15 14 12 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 10 10 11 11 11 11 12 12 12 11 11 10 9 9 8 8 10 10 10 10 10 9 9 9 10 10 11 11 11 12 13 14 14 14 14 15 17 18 19 17 14 12 10 8 9 10 12 12 12 13 13 13 12 12 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 13 13 13 13 12 10 9 8 8 8 8 7 7 8 9 10 12 12 12 12 12 11 10 10 9 9 9 9 8 8 8 9 10 10 11 12 13 13 12 11 11 11 12 14 15 15 16 16 15 14 13 12 12 12 13 13 13 13 13 13 12 11 11 11 11 12 12 11 11 11 12 12 13 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 12 11 11 nan
nan 14 14 14 14 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 10 10 10 11 12 12 13 13 13 13 14 17 19 20 19 16 12 9 7 7 8 10 11 12 12 12 12 12 12 12 11 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 12 11 10 9 9 8 8 7 7 7 8 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 13 13 14 14 15 16 16 16 15 14 12 12 11 12 12 13 13 13 12 11 11 11 11 12 12 11 10 10 11 11 12 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 11 11 nan
nan 12 12 12 12 12 12 11 9 9 10 11 11 11 11 10 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 13 13 14 14 15 17 19 19 16 12 10 8 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 14 14 13 12 12 11 10 9 7 6 6 7 7 8 8 9 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 12 12 12 12 12 11 11 11 12 14 15 15 16 15 14 13 12 11 11 11 12 12 12 12 11 11 11 11 12 12 11 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 12 11 10 9 9 10 11 12 11 11 10 10 10 10 10 10 10 11 11 11 12 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 14 16 17 17 14 11 9 8 7 8 8 9 10 10 10 10 10 10 11 12 12 12 12 11 10 9 9 9 9 10 11 11 12 12 12 12 12 12 12 13 12 12 12 12 12 13 13 14 14 13 12 11 9 7 7 7 7 7 6 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 12 12 11 11 11 10 10 11 12 13 14 14 14 14 14 13 12 12 11 12 12 12 12 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 nan
nan 10 10 10 11 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 10 10 11 12 12 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 13 14 15 15 14 11 9 7 7 8 8 9 10 11 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 13 13 13 12 12 11 12 12 13 14 14 14 13 11 10 9 8 8 8 7 7 7 7 8 9 10 11 11 11 11 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 12 13 13 13 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 nan
nan 10 10 10 11 11 12 12 11 10 9 9 9 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 13 14 14 13 11 8 6 5 7 8 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 11 11 12 12 13 13 13 13 12 11 11 10 10 10 10 9 9 9 8 9 10 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 13 14 14 14 14 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 nan
nan 10 10 11 11 11 11 12 12 11 10 10 9 9 9 9 10 11 11 12 12 12 13 13 14 13 13 12 10 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 9 7 6 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 13 12 12 11 11 10 10 11 11 11 12 12 12 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 12 13 14 14 14 13 12 12 12 12 12 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 12 12 nan
nan 11 10 10 10 11 11 11 12 12 11 11 11 10 9 9 9 9 9 10 10 11 12 13 14 14 13 12 11 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 12 13 13 13 13 13 12 12 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 10 nan
nan 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 12 11 11 11 11 11 12 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 8 8 7 7 7 nan
nan 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 7 7 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 8 8 8 8 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 7 8 8 9 10 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 8 7 7 7 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 11 9 8 7 7 7 9 10 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 nan
nan 11 11 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 11 10 10 9 9 8 8 8 9 9 9 9 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 13 14 13 13 12 10 9 7 7 7 7 9 11 11 12 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 9 10 10 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 11 11 11 nan
nan 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 14 13 13 12 10 9 8 7 8 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 11 11 10 9 9 8 8 7 8 8 9 10 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 nan
nan 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 9 9 9 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 14 14 14 14 13 11 10 9 9 9 10 10 11 11 10 10 10 10 11 11 12 12 11 11 12 12 12 12 11 10 9 9 9 8 8 8 9 10 11 11 11 11 11 11 12 12 12 11 10 10 10 10 9 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 nan
nan 11 11 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 10 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 11 11 11 11 11 11 11 12 12 12 12 12 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 14 14 14 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 10 11 11 12 12 12 11 11 11 12 12 12 11 11 10 10 10 9 9 9 8 8 8 8 9 9 10 10 10 11 11 12 11 11 11 10 10 9 nan
nan 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 10 10 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 11 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 12 12 12 13 13 14 14 14 13 13 13 13 12 11 11 10 10 10 10 10 10 10 11 11 10 11 11 12 12 13 12 12 12 11 11 11 12 12 11 11 11 12 13 13 13 13 12 12 12 12 12 11 11 11 12 12 12 11 11 10 10 10 9 9 8 7 7 8 8 8 9 10 10 11 11 12 12 11 11 10 10 10 nan
nan 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 12 12 12 11 11 11 11 12 12 12 11 11 11 11 10 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 12 12 13 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 13 14 15 15 14 13 12 12 11 10 9 9 10 10 10 10 10 10 10 10 11 11 11 12 14 14 14 13 13 12 11 10 9 9 9 9 9 10 12 13 14 14 13 13 12 12 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 nan
nan 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 13 13 12 12 11 11 11 11 11 11 12 12 12 11 10 10 11 11 12 12 11 11 11 12 11 11 10 10 10 10 11 11 11 11 10 10 10 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 13 13 13 13 13 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 10 10 10 10 11 12 14 15 15 14 12 11 11 11 10 9 9 9 10 10 10 9 9 9 8 8 8 9 12 15 16 16 15 14 13 11 9 8 7 6 6 7 9 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 10 10 11 11 10 10 10 10 11 11 11 11 11 11 12 13 12 12 11 12 12 12 11 11 11 12 12 11 10 10 10 10 11 11 11 11 12 12 12 11 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 10 10 11 11 12 12 13 13 14 13 13 13 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 10 10 10 9 10 11 12 13 13 12 11 11 12 12 11 10 9 9 10 10 10 9 8 7 7 6 5 6 10 13 16 17 16 14 12 10 9 8 7 7 7 8 9 10 11 11 12 12 13 13 14 13 13 13 14 14 14 14 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 nan
nan 10 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 12 12 11 11 11 12 13 12 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 11 11 11 11 11 12 13 13 13 12 11 11 11 10 10 10 9 8 8 7 6 7 9 11 14 15 14 12 10 9 9 9 9 10 10 10 9 9 9 10 11 12 13 14 14 14 14 14 14 15 15 14 13 12 12 12 13 14 13 13 12 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 10 10 11 11 11 11 11 11 12 12 12 12 11 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 12 13 13 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 12 11 12 12 11 11 11 11 12 13 13 12 10 9 10 11 13 13 12 10 8 8 9 9 10 11 11 10 9 9 8 9 11 12 13 13 14 13 14 14 14 15 14 13 12 11 11 12 13 13 13 13 12 11 11 10 11 11 11 11 11 10 10 11 11 12 12 12 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 14 13 13 12 12 11 11 12 12 11 11 11 11 11 11 11 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 10 10 10 10 11 11 11 12 12 13 15 16 16 15 13 13 13 13 12 10 9 8 7 7 8 8 9 10 9 9 8 8 9 10 11 12 13 13 14 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 nan
nan 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 10 11 11 12 12 11 11 11 12 12 13 12 12 11 11 12 12 12 12 12 12 12 12 12 12 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 12 12 12 13 13 14 14 13 13 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 12 12 12 12 12 12 12 11 10 9 9 9 10 9 9 10 11 12 13 14 16 17 17 17 16 14 12 11 10 8 7 6 6 6 6 7 8 8 8 8 8 8 9 10 11 12 13 14 14 14 13 12 11 11 11 12 12 12 12 12 12 11 12 12 12 11 11 11 11 11 11 11 10 10 10 11 12 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
29 31 28 24 24 28 28 26 26 26 26 27 27 27 27 25 24 23 22 19 15 11 8 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 36 70 111 161 221 288 359 388 366 311 253 215 190 170 151 131 109 93 83 78 79 84 90 103 121 143 169 202 244 326 389 420 424 407 357 280 218 183 157 134 112 88 66 51 46 36 23 9 1 0 0 0 0 0 0 0 0 1 1 2 1 1 1 1 2 3 5 7 9 11 12 12 15 43 102 217 370 521 623 650 621 544 436 322 222 135 66 21 0 2 25 88 180 296 433 554 548 469 355 240 163 149 154 159 161 160 152 144 158 172 175 165 141 124 113 108 110 112 113 113 101 82 75 90 107 130 155 174 182 160 147 139 125 94 49 20 8 3 1 1
40 38 33 30 31 35 39 39 38 36 34 33 34 33 33 34 34 33 31 27 23 20 16 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 39 74 121 177 248 307 326 302 251 198 169 146 131 118 97 76 58 46 39 36 39 42 53 69 88 113 157 190 250 312 369 423 470 475 404 304 216 151 126 112 99 85 67 46 28 13 4 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 3 5 7 10 11 13 14 24 62 157 300 459 591 662 674 627 531 419 313 219 134 66 27 18 47 113 201 308 447 540 544 474 350 208 143 131 139 152 163 165 147 134 132 139 149 146 109 89 86 99 116 121 114 98 80 67 66 91 111 132 161 195 218 203 180 163 149 114 69 38 19 9 2 2
52 48 44 42 43 45 47 46 43 38 33 30 36 40 43 43 43 43 44 37 29 24 20 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 42 83 136 203 249 261 237 190 147 124 108 95 81 67 51 35 23 16 12 12 16 26 39 55 75 121 149 188 244 315 396 451 526 527 447 313 156 109 94 90 81 63 37 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 5 8 11 14 16 19 47 118 241 401 549 659 713 700 623 516 405 306 215 135 84 70 92 153 239 338 456 531 539 476 356 218 155 134 138 152 161 160 143 126 116 116 136 129 98 73 69 95 118 122 112 94 74 59 56 71 91 118 160 246 272 255 230 215 228 193 133 73 33 13 4 2
58 58 56 52 50 49 48 46 40 33 29 31 36 42 47 50 50 48 47 42 35 28 22 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 16 49 97 153 193 205 185 140 113 89 70 55 45 40 29 20 14 11 9 9 12 17 25 36 50 80 109 146 190 241 309 370 462 528 523 412 190 114 84 73 65 49 28 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 5 8 14 18 23 47 108 215 365 531 655 722 731 683 586 481 385 298 213 151 132 159 219 290 375 461 517 522 466 344 235 174 150 149 157 158 150 132 113 101 102 107 99 83 66 59 93 117 125 118 100 69 55 50 57 72 96 158 246 303 337 357 347 353 296 202 104 34 12 4 2
61 63 59 54 50 48 46 42 34 28 27 29 35 42 49 54 55 53 48 43 37 31 23 16 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 23 62 111 148 161 145 106 84 63 46 32 23 21 15 15 16 16 14 15 16 20 24 30 38 55 79 111 152 200 252 306 372 432 444 322 212 130 78 53 45 30 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 2 3 5 11 18 29 57 113 210 358 526 669 761 789 731 640 546 459 377 289 216 180 206 278 341 400 457 493 490 431 322 237 190 166 154 150 147 138 122 103 86 82 74 69 70 71 73 103 122 125 115 98 67 49 44 53 77 120 202 295 390 480 547 514 455 352 224 103 26 7 3 2
68 66 59 52 46 44 42 37 31 27 28 32 38 46 53 58 61 57 50 43 37 30 23 18 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 37 79 112 120 98 70 51 37 27 19 15 17 15 16 20 22 24 25 25 28 34 40 45 51 61 81 115 166 222 267 306 348 389 347 252 149 72 34 25 13 4 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 3 1 1 1 2 2 2 3 7 13 25 50 99 221 355 503 653 778 831 784 707 619 531 441 349 274 236 248 307 371 413 444 461 449 387 296 227 189 168 148 135 133 129 118 102 90 74 61 61 72 84 99 118 127 120 97 76 50 36 37 51 81 151 261 391 518 628 662 610 492 336 178 70 23 6 2 2
74 69 59 47 38 35 35 31 29 30 33 36 43 53 59 62 64 59 52 45 38 31 22 17 12 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 23 54 82 88 66 40 24 16 9 4 4 9 11 14 17 21 24 26 30 37 44 51 55 54 54 62 85 127 178 223 257 288 336 333 265 166 75 27 13 5 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 2 2 2 2 4 6 10 18 38 125 238 365 506 657 760 780 748 681 595 497 410 339 299 296 326 374 404 420 421 404 350 274 219 186 160 131 115 117 120 112 102 89 73 66 71 88 104 124 141 147 136 112 87 67 60 68 95 141 224 335 458 556 610 616 547 416 248 116 43 12 4 3 3
73 67 57 45 36 35 37 32 31 33 37 41 47 55 61 64 63 60 55 48 39 30 20 15 10 6 3 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 29 54 69 59 34 16 7 3 1 2 2 3 6 8 11 16 19 25 31 38 45 49 51 50 52 64 97 149 195 224 244 293 320 287 195 85 29 9 2 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 0 0 0 1 1 1 2 2 1 2 2 3 3 6 19 55 119 212 338 466 562 624 645 614 536 462 402 362 337 336 354 371 379 375 351 310 254 208 179 150 121 102 101 108 103 94 86 78 79 92 107 126 152 180 204 235 199 164 151 159 185 223 266 321 381 426 444 417 376 319 243 131 58 18 5 4 4 5
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