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 5 7 10 11 12 11 10 8 9 9 10 9 8 6 4 4 5 7 9 10 10 9 8 9 12 15 17 18 18 17 17 17 17 17 18 18 17 15 12 11 12 12 12 11 10 10 10 10 11 11 11 10 10 10 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 10 11 11 12 11 11 11 12 13 14 15 15 16 16 16 15 13 12 11 10 10 9 9 8 8 nan
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nan 12 11 10 10 9 9 9 9 9 8 8 7 7 8 9 10 11 11 12 11 11 10 9 9 8 8 9 9 10 11 12 12 12 11 11 11 11 12 12 13 13 13 14 14 14 14 13 13 13 13 13 13 12 12 13 13 13 12 11 11 10 11 11 11 11 12 12 12 11 11 10 10 10 9 9 10 11 11 11 10 9 8 7 6 6 6 5 5 5 5 5 5 5 5 6 7 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 9 8 10 13 15 18 18 17 15 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 10 10 9 10 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 nan
nan 11 10 10 10 10 10 10 10 9 9 8 8 7 8 8 9 10 11 11 11 11 10 9 9 8 8 9 10 11 12 13 13 12 12 12 12 12 12 12 13 13 13 14 14 15 14 14 13 13 13 13 12 12 12 12 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 10 9 8 7 7 6 6 6 6 6 6 5 5 5 6 8 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 9 8 8 10 12 16 18 16 15 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 10 10 10 10 11 11 12 11 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 9 nan
nan 9 9 9 9 10 10 10 10 9 9 8 8 7 7 7 8 8 9 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 12 13 13 13 12 12 12 13 14 15 15 15 14 13 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 9 8 7 7 8 9 10 11 10 10 9 8 8 10 12 13 13 12 12 12 12 13 13 13 13 12 12 11 11 10 11 11 12 12 12 11 10 8 8 8 10 14 16 15 14 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 13 13 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 nan
nan 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 13 13 13 13 12 12 12 12 13 15 15 15 14 13 11 10 10 11 11 10 10 10 9 9 9 8 8 7 7 7 8 8 9 10 10 10 10 9 9 9 10 11 11 12 11 10 8 8 7 8 9 11 13 14 15 14 14 13 13 15 15 15 14 12 11 12 13 14 14 14 14 13 12 11 10 9 10 12 13 13 12 11 9 8 8 10 12 14 15 14 13 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 12 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 nan
nan 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 13 14 15 15 14 12 10 9 9 9 10 10 10 9 9 9 8 8 7 6 6 6 7 8 10 11 11 11 11 11 11 11 12 12 12 12 11 9 8 7 8 8 9 10 12 13 14 15 15 15 15 16 15 15 13 11 10 11 13 14 15 15 14 13 12 10 10 9 10 12 13 14 12 10 8 8 8 11 14 15 15 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 13 13 14 14 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 nan
nan 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 10 10 10 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 12 13 14 15 14 12 10 9 9 9 10 10 9 9 8 8 8 7 6 6 6 7 8 9 11 12 12 12 12 12 12 12 12 11 11 10 10 9 8 8 8 8 8 9 9 11 12 14 14 14 14 14 14 13 11 10 10 10 12 14 15 15 14 13 12 11 11 11 11 12 13 13 12 10 8 7 8 10 13 14 14 13 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 nan
nan 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 10 10 9 9 9 10 12 13 14 15 14 12 11 10 10 10 10 10 9 8 8 8 8 8 7 7 8 8 9 10 12 12 13 13 13 13 12 12 10 9 8 7 8 8 8 9 8 8 8 8 9 10 11 12 11 11 11 12 12 11 11 11 10 11 11 12 13 14 13 13 13 12 12 12 12 12 12 12 11 10 9 8 9 10 12 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 10 10 11 11 10 10 10 9 9 9 9 9 9 10 11 12 13 13 14 13 13 13 14 14 13 13 13 13 13 14 13 13 13 12 11 11 10 10 9 9 9 11 12 13 14 14 13 12 12 11 11 11 11 10 9 9 8 8 9 9 9 9 10 10 11 11 12 12 12 12 12 13 12 12 11 9 8 7 8 8 8 8 8 7 7 8 10 11 11 10 10 9 10 11 11 12 12 13 13 12 11 11 11 12 12 13 13 13 13 13 12 12 11 11 10 10 10 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 11 11 11 11 10 10 10 9 10 10 10 10 11 11 12 12 13 13 13 14 14 14 14 14 13 13 13 13 13 14 14 14 14 13 12 11 11 11 11 10 11 11 12 13 14 13 13 13 12 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 12 13 13 13 12 11 10 9 9 9 9 8 7 7 8 9 10 10 9 9 10 11 12 12 12 13 14 13 12 11 11 10 11 12 12 12 12 12 12 13 12 11 10 9 10 11 14 15 15 14 13 12 12 11 11 11 11 12 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 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 12 12 11 10 10 9 9 9 10 11 11 11 12 12 12 12 11 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 13 13 12 12 12 11 12 12 13 13 13 13 12 12 13 13 14 14 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 12 13 14 14 13 12 12 11 11 10 8 7 7 7 8 8 8 9 11 12 13 13 12 12 12 13 13 12 11 11 11 11 12 12 12 11 11 12 13 12 10 9 9 11 14 16 17 16 14 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 nan
nan 12 13 12 10 9 9 9 10 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 14 14 13 12 10 9 8 7 7 7 7 9 12 15 16 15 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 13 14 13 11 11 12 15 17 18 17 15 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 13 13 12 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 14 14 14 14 14 13 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 8 8 8 8 8 9 8 8 8 8 8 8 8 9 11 12 14 15 14 13 12 11 10 9 7 7 8 10 14 16 17 16 14 13 12 12 12 12 12 12 12 12 12 10 10 10 12 16 17 16 15 14 15 17 18 17 16 14 12 12 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 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 10 10 10 10 10 10 10 10 10 11 nan
nan 13 13 12 12 11 11 11 12 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 12 13 13 13 14 14 15 15 14 13 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 6 6 5 5 6 6 6 6 6 7 7 7 7 8 9 10 11 12 12 13 13 14 13 12 9 8 9 11 14 17 17 16 14 13 12 12 12 12 12 12 12 12 10 8 8 10 14 18 19 19 17 16 16 17 17 16 15 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 13 13 13 13 13 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 11 10 11 11 12 13 13 13 13 13 14 15 15 14 13 12 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 10 10 9 9 8 7 6 6 5 5 5 6 6 7 7 7 8 7 7 8 8 9 9 9 10 11 12 14 15 14 12 10 10 10 13 15 16 16 15 13 12 12 12 12 12 13 12 11 9 9 10 12 15 17 17 17 16 16 16 16 16 15 14 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 nan
nan 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 13 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 8 7 7 7 8 8 9 9 9 8 8 8 7 8 8 8 7 8 8 10 13 14 14 14 12 11 9 10 12 13 14 15 14 13 12 12 12 12 12 11 11 11 12 13 15 15 15 14 14 15 16 16 16 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 nan
nan 13 13 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 14 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 10 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 7 7 7 7 8 9 11 13 13 14 13 11 10 9 10 11 13 14 14 13 12 12 12 11 10 10 11 13 15 16 15 14 13 13 13 14 16 16 16 15 14 12 12 12 12 12 12 12 12 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 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 11 11 nan
nan 14 14 14 13 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 12 12 12 12 13 13 13 12 11 10 10 9 9 8 9 9 9 8 9 9 11 12 12 13 12 11 10 10 11 12 14 14 13 12 12 12 11 10 9 9 11 13 15 15 14 13 12 12 14 15 15 16 15 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 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 9 9 9 10 11 11 11 nan
nan 14 14 14 14 14 13 13 12 11 11 11 11 11 12 12 13 14 14 14 13 13 12 12 11 11 11 11 11 12 13 14 14 14 14 13 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 8 9 10 11 12 12 12 11 10 10 10 11 12 13 14 14 13 12 12 11 11 11 12 12 11 10 10 11 12 12 13 12 11 11 12 13 14 14 13 12 11 11 11 10 8 7 8 9 11 13 13 13 12 13 13 14 15 15 15 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 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 nan
nan 13 14 14 14 14 13 13 12 11 11 11 12 12 13 14 15 15 15 14 13 12 11 11 10 9 9 9 9 10 12 13 14 14 14 13 13 14 14 13 12 11 11 10 10 11 11 11 11 11 12 11 11 10 9 8 8 8 9 10 10 10 10 9 8 7 7 8 9 10 12 14 14 14 15 15 14 14 14 14 14 12 11 12 12 13 13 13 11 10 11 11 13 14 14 13 12 11 11 10 9 9 8 8 8 9 10 11 12 12 13 14 16 16 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 nan
nan 12 13 13 13 13 13 12 12 12 12 13 13 14 15 15 15 15 14 13 12 11 11 10 9 8 8 8 7 8 9 11 13 13 13 13 13 13 13 14 14 13 12 12 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 9 8 8 7 6 5 6 7 8 9 10 12 13 14 15 16 16 16 15 15 14 13 11 11 11 12 12 11 10 9 10 11 13 13 13 12 12 12 11 12 12 13 12 11 10 9 10 10 11 11 12 14 15 16 15 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 nan
nan 11 12 12 12 12 12 12 12 12 13 14 15 15 15 15 15 14 13 12 11 11 10 9 8 8 8 7 7 7 8 9 11 13 13 13 12 12 13 13 14 14 14 13 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 7 6 6 6 6 7 8 10 11 12 14 15 15 15 15 14 13 12 10 10 9 9 9 9 9 9 10 12 14 14 13 13 12 12 12 14 16 18 19 17 14 12 11 10 10 10 11 12 14 14 14 14 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 nan
nan 11 11 11 11 11 12 12 12 13 13 14 14 14 14 14 13 13 12 11 10 10 9 9 9 9 8 8 8 8 9 10 11 13 14 14 14 13 13 12 13 14 14 14 14 13 12 11 10 10 10 11 12 13 14 14 15 15 14 13 13 12 12 11 10 8 7 6 6 5 6 8 9 11 13 14 14 14 14 13 12 11 10 10 9 9 10 10 10 11 12 13 14 14 13 13 12 11 12 14 16 18 20 19 16 13 11 10 9 10 11 12 13 13 13 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 11 12 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 nan
nan 11 10 10 11 11 12 12 12 13 13 13 13 13 13 12 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 11 12 14 15 16 15 14 13 12 13 13 14 14 13 12 10 9 9 10 11 13 14 15 15 15 15 14 14 13 12 12 13 12 12 11 9 7 6 6 7 8 10 12 13 13 13 12 11 11 10 10 10 10 11 11 11 11 11 12 13 13 13 13 12 11 10 10 11 12 14 16 15 14 12 11 10 10 10 11 12 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 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 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 nan
nan 11 10 10 11 11 12 12 13 13 13 13 12 12 11 11 11 10 10 9 9 9 10 11 11 12 12 12 11 11 11 11 11 12 13 14 14 14 14 13 12 12 12 11 12 11 11 10 9 10 11 12 13 14 14 13 13 13 12 12 12 12 12 13 13 14 14 13 11 9 9 8 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 12 13 13 13 13 12 11 10 9 9 10 11 12 12 11 10 9 9 10 10 11 12 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 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 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 11 11 11 12 12 13 13 14 14 13 13 12 10 9 8 8 8 9 9 9 10 11 12 13 13 13 12 12 12 11 11 11 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 11 11 11 11 11 12 12 13 13 14 15 15 14 13 13 12 11 10 11 11 11 12 11 11 10 10 10 9 9 8 7 7 7 10 12 13 13 13 12 12 12 11 11 10 9 10 10 11 10 9 8 8 9 10 11 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 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 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 12 12 11 11 12 12 13 13 13 12 11 10 9 8 7 7 7 8 9 10 11 12 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 9 8 8 8 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 14 15 15 15 15 14 13 12 11 11 12 12 12 12 11 11 10 9 9 7 6 6 7 10 13 13 13 13 12 13 13 13 12 11 10 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 12 12 12 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 11 11 11 12 12 11 11 11 10 10 nan
nan 12 11 10 10 10 10 10 10 10 9 9 9 9 8 7 8 8 9 11 12 12 13 12 12 12 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 8 8 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 14 14 15 15 15 14 13 12 12 11 12 12 12 12 11 11 11 10 10 9 8 8 8 10 12 12 13 13 13 13 14 14 13 12 10 8 7 7 6 7 8 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 12 12 13 13 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 12 12 11 11 10 10 10 nan
nan 10 10 9 9 9 8 8 8 8 8 9 10 10 10 10 10 11 12 12 13 13 12 12 12 12 12 12 11 10 10 10 9 9 9 10 10 11 11 10 10 10 9 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 13 13 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 12 13 13 14 14 14 13 12 10 9 7 7 6 7 8 9 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 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 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 11 11 11 10 10 nan
nan 8 9 9 9 9 10 10 9 9 9 10 12 13 13 14 14 14 14 14 13 13 12 12 12 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 12 12 13 14 14 14 13 12 11 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 nan
nan 9 10 10 11 11 12 13 12 12 12 12 13 14 15 16 16 16 16 15 14 13 13 13 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 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 13 14 14 14 13 13 12 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 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 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
0 0 0 0 0 0 0 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 11 35 79 177 266 300 256 145 85 185 243 215 233 269 317 398 518 659 674 539 367 211 99 42 14 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 5 5 5 6 6 7 6 6 6 6 5 4 4 4 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 0 0 0 1 2 3 4 5 7 8 6 7 8 9 10 11 10 8 8 8 7 4 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
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