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 7 8 11 11 11 11 10 9 7 7 7 6 7 9 11 10 10 11 13 13 12 11 10 9 12 14 13 11 12 15 14 12 12 11 10 13 16 16 15 12 10 9 9 10 10 9 8 8 8 8 9 9 9 7 6 7 7 7 6 6 7 7 8 9 9 9 7 6 6 6 7 7 7 7 7 8 10 10 9 8 8 8 7 7 7 7 8 11 13 17 20 22 22 20 18 17 15 13 12 11 10 8 9 9 9 9 8 9 9 9 7 7 8 9 8 7 7 7 nan
nan 9 10 12 13 12 12 12 11 10 9 9 8 9 11 12 12 13 14 15 14 13 13 12 11 11 15 15 11 9 12 13 13 13 14 14 16 17 16 14 12 10 9 9 10 11 10 9 9 9 8 8 9 9 7 6 7 8 8 8 8 9 10 11 11 12 10 9 7 7 7 7 7 7 8 9 10 11 11 10 8 8 7 7 6 6 7 12 14 13 12 13 16 18 20 20 21 20 17 14 14 13 10 9 10 10 8 7 7 8 9 7 7 7 8 8 8 8 9 nan
nan 11 11 13 13 12 12 12 12 12 12 11 12 12 13 14 14 13 14 14 15 14 14 14 12 10 12 14 11 8 10 11 11 12 14 16 16 15 15 14 12 10 10 10 11 11 11 10 9 8 7 6 8 8 7 9 10 10 11 12 12 12 13 13 14 14 13 11 10 9 10 10 10 9 9 10 11 12 12 11 10 10 9 8 8 9 12 14 14 12 11 9 9 11 13 15 19 21 14 9 12 12 10 9 8 7 7 7 7 7 8 8 7 8 9 8 7 7 9 nan
nan 11 11 12 12 11 11 11 12 12 12 13 14 15 15 15 14 12 12 13 14 14 13 12 12 9 8 9 9 8 9 9 8 10 12 15 15 14 14 13 11 9 9 11 13 12 12 11 10 9 9 9 10 8 9 14 15 15 15 16 15 14 14 15 17 17 17 15 14 14 15 16 15 14 13 13 13 13 14 15 15 14 13 13 13 14 16 14 12 10 9 8 9 9 9 9 12 16 10 6 8 10 10 8 7 6 6 8 7 8 9 10 9 9 9 8 7 6 7 nan
nan 11 11 11 11 11 10 10 11 11 12 13 14 14 14 12 12 11 10 10 11 12 11 10 9 8 6 4 3 4 8 8 7 9 11 13 14 14 14 12 10 8 9 11 13 12 11 11 12 14 15 14 12 10 11 14 16 17 18 18 16 14 13 15 16 17 18 17 18 18 20 21 21 20 18 16 15 16 18 19 18 17 16 16 15 12 12 11 9 8 8 8 8 8 8 7 8 9 8 7 7 8 8 7 6 7 7 8 9 9 10 10 11 10 10 9 8 7 6 nan
nan 11 12 12 12 11 10 9 9 10 10 12 13 12 12 10 10 10 9 9 9 10 9 8 8 7 5 3 1 1 5 7 7 8 10 12 14 14 13 11 10 9 9 12 12 12 11 10 12 15 17 14 11 11 11 12 14 16 17 16 13 12 12 13 13 14 13 14 17 18 18 18 19 20 20 17 17 18 19 18 17 14 13 14 12 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 9 9 10 11 11 10 9 9 8 9 nan
nan 11 12 11 12 12 11 10 8 8 9 11 12 11 11 9 8 8 8 8 9 9 9 8 8 7 6 4 2 1 3 5 6 9 9 10 12 13 12 9 9 10 10 11 11 12 11 9 11 13 13 13 11 11 11 11 12 13 14 13 12 11 12 11 10 9 8 10 14 14 13 12 12 13 15 14 13 14 14 14 13 10 9 11 9 7 6 5 6 6 6 6 7 6 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 9 9 10 9 10 nan
nan 10 11 11 11 11 11 10 9 8 9 10 12 11 10 9 8 9 9 9 8 9 10 10 9 8 7 5 3 2 4 4 4 7 8 9 11 11 11 9 8 8 9 11 11 10 9 9 10 11 10 11 12 11 10 10 11 11 11 12 12 11 11 10 9 8 8 10 12 11 10 10 9 9 10 10 10 10 10 11 11 10 10 10 8 7 6 7 8 7 6 5 5 6 6 7 7 6 7 7 7 7 8 9 9 8 9 9 9 8 7 8 9 9 8 8 9 9 11 nan
nan 9 10 10 10 10 10 10 10 9 9 10 11 11 10 10 9 10 10 10 9 9 10 10 10 9 9 7 5 3 4 4 3 5 7 8 10 9 10 11 8 7 8 9 9 9 8 8 9 10 10 9 10 10 9 9 10 11 11 12 12 10 10 9 9 9 10 10 11 10 9 8 8 9 9 10 10 10 10 10 10 10 11 9 8 7 7 8 8 7 6 5 5 5 5 5 5 6 7 7 7 7 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 13 nan
nan 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 10 9 9 9 9 9 8 9 9 9 6 4 4 4 4 5 5 7 11 9 9 12 10 8 7 8 9 8 7 7 8 9 9 9 9 9 9 8 10 10 10 11 10 8 8 9 9 9 9 9 9 10 9 8 8 9 10 11 11 10 11 10 9 9 9 8 7 7 8 9 8 8 8 7 5 4 5 5 5 6 6 6 6 7 9 9 9 8 7 7 8 7 7 8 8 7 7 7 8 9 12 nan
nan 10 9 8 8 9 10 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 6 5 4 4 4 4 4 6 12 11 9 10 9 8 8 8 9 8 8 7 7 8 9 9 9 9 8 8 9 10 10 10 8 6 7 9 9 9 9 8 8 8 7 8 10 11 12 12 11 11 10 8 7 8 8 7 7 8 8 9 9 9 9 8 7 7 6 6 6 5 6 6 7 8 9 9 8 7 7 7 7 7 7 6 6 7 6 6 7 8 10 nan
nan 10 9 9 8 8 10 10 10 9 9 9 9 8 8 9 7 7 7 7 5 5 6 7 7 6 7 7 6 6 4 4 4 4 2 4 11 13 10 9 8 7 8 8 8 8 8 7 8 7 7 7 9 10 9 8 8 10 11 10 7 7 7 8 8 8 8 9 9 7 6 8 11 12 12 12 12 10 9 7 7 7 7 8 9 9 9 10 10 11 11 10 10 10 9 8 7 7 7 6 7 9 9 8 9 9 8 8 8 7 6 5 5 6 6 6 7 8 9 nan
nan 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 7 7 6 6 4 4 5 6 5 5 6 6 6 6 5 5 4 2 2 6 11 11 12 10 8 7 7 7 7 6 7 8 8 6 6 7 8 8 8 8 9 10 10 9 8 7 8 8 8 8 9 9 7 6 8 10 11 11 12 12 10 8 8 9 8 9 10 10 11 11 11 10 11 11 11 11 10 10 10 10 9 8 7 8 8 8 8 9 9 9 8 7 7 7 6 5 6 7 7 8 9 10 nan
nan 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 5 5 4 5 5 6 6 5 5 4 4 2 2 2 6 11 13 12 10 8 6 6 6 6 6 7 7 6 6 6 6 7 7 8 9 10 10 9 8 8 8 9 8 8 9 9 8 7 7 9 10 10 11 11 10 9 10 10 10 11 11 12 11 11 11 11 11 11 11 10 10 11 11 11 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 9 11 nan
nan 7 7 8 9 10 9 9 8 8 8 8 8 7 7 7 7 8 7 7 6 6 6 6 6 5 5 5 6 6 6 5 4 3 3 3 -0 3 9 11 11 9 9 7 6 6 5 4 5 6 6 6 5 5 5 6 6 8 10 10 9 7 7 8 9 8 8 8 8 9 7 7 8 10 10 11 11 11 11 11 10 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 9 9 10 9 9 9 8 7 7 7 7 8 8 7 7 7 6 6 7 7 8 10 nan
nan 7 7 7 9 10 9 8 8 8 8 8 8 7 6 6 7 7 7 7 7 6 5 5 5 6 6 5 5 6 6 5 5 4 4 2 -1 1 6 8 10 9 8 8 7 7 6 3 5 7 6 5 4 5 5 4 4 6 8 9 8 7 7 8 9 8 8 8 9 8 8 7 8 9 9 10 11 11 11 10 10 10 11 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 9 10 9 9 9 8 8 9 9 9 9 8 8 8 8 8 7 7 7 8 8 nan
nan 8 8 7 8 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 6 6 4 5 6 6 5 7 6 6 5 5 4 4 1 1 4 7 10 10 7 6 6 7 7 4 5 7 6 5 4 4 5 4 4 5 7 8 7 6 6 7 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 10 10 11 11 12 12 11 11 12 11 11 10 9 10 9 8 9 9 9 8 8 8 9 10 11 10 11 10 10 9 9 9 9 9 8 7 6 7 nan
nan 9 9 8 8 8 9 9 8 8 9 8 8 8 7 7 7 7 6 6 7 8 7 7 5 5 6 5 5 6 6 6 5 5 5 5 3 0 2 7 10 11 10 6 5 6 7 6 5 6 6 5 3 3 4 5 4 5 7 7 7 6 6 7 7 8 8 7 7 7 7 7 7 7 7 6 7 8 8 9 10 10 11 11 12 13 12 12 12 12 11 11 10 10 10 11 10 10 9 8 7 8 9 10 10 10 9 9 10 11 10 9 9 8 8 7 7 6 7 nan
nan 10 10 10 9 9 9 8 8 8 8 7 8 8 8 7 7 7 7 6 6 7 7 7 6 6 6 6 5 5 5 5 6 5 5 5 4 1 1 6 9 10 11 8 5 6 7 5 5 6 7 6 4 3 4 5 5 5 6 6 6 6 6 6 6 7 7 7 6 7 7 6 6 6 6 6 7 7 7 9 9 10 10 10 11 11 10 12 12 11 11 11 10 11 12 12 11 11 10 10 9 10 10 10 10 8 8 9 9 10 10 9 8 7 7 7 7 7 7 nan
nan 8 9 10 10 8 8 8 8 7 6 6 6 7 7 7 7 8 7 7 6 6 6 5 5 7 8 7 6 5 5 5 6 5 3 4 6 4 2 6 8 8 9 9 5 6 6 5 5 5 7 7 6 5 5 6 5 5 6 6 6 6 6 6 5 6 7 7 6 6 6 6 6 6 7 7 6 6 6 7 9 9 9 8 9 9 10 11 10 10 11 12 12 12 13 12 11 11 12 12 11 10 9 10 9 9 9 9 9 9 9 8 8 7 7 7 6 7 7 nan
nan 8 7 8 9 8 7 8 8 7 6 5 5 6 6 6 7 7 8 7 7 6 6 5 5 7 8 7 7 6 5 5 5 5 3 1 3 5 5 8 9 7 6 8 7 7 6 5 5 5 6 8 8 7 7 6 5 5 6 7 7 6 6 5 6 6 7 6 6 6 5 6 6 7 7 6 6 5 6 7 9 9 8 8 9 8 7 8 9 10 10 11 12 12 12 11 11 11 11 12 12 12 11 10 9 9 9 9 10 9 9 10 9 8 8 7 6 6 7 nan
nan 9 8 7 7 8 7 7 7 7 6 6 5 5 5 5 5 6 7 7 7 6 6 6 6 6 7 8 7 7 6 6 6 5 2 1 1 4 6 8 9 7 4 7 9 8 6 6 5 5 6 7 8 8 8 6 4 5 6 7 6 5 5 5 6 7 6 6 5 5 5 5 6 8 8 6 6 6 6 8 9 8 8 8 8 7 7 7 7 8 9 10 10 11 11 11 11 11 11 12 12 13 13 11 9 9 9 9 9 10 10 11 10 10 9 7 6 7 8 nan
nan 7 7 7 6 6 6 7 7 6 5 5 5 5 4 4 4 5 6 7 7 6 6 6 6 6 7 7 6 6 6 7 6 5 3 2 2 2 4 6 7 7 6 7 8 8 7 6 6 5 6 8 8 8 8 6 5 6 7 7 6 5 5 6 6 6 6 6 4 4 5 7 9 9 9 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 8 9 10 11 11 11 11 11 11 11 10 10 12 11 11 10 10 10 9 10 10 10 10 8 7 8 8 8 7 nan
nan 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 7 6 6 6 6 6 5 5 6 6 6 5 6 7 6 4 3 1 1 2 5 7 7 8 8 8 7 7 6 6 6 7 9 9 9 8 6 6 6 6 6 7 6 5 6 5 5 6 7 6 6 7 9 10 10 9 7 5 5 5 7 9 9 9 9 8 8 8 8 8 9 9 9 9 11 10 11 12 12 12 11 11 12 12 12 12 13 13 11 10 9 9 8 8 8 8 9 9 8 8 nan
nan 2 4 5 5 5 5 5 6 7 7 6 5 5 6 5 5 5 6 6 6 6 7 7 6 5 4 5 6 6 5 6 6 6 6 4 0 -1 2 4 6 7 8 6 6 7 6 7 7 7 7 9 10 9 8 7 7 7 6 6 7 7 6 5 3 5 7 8 8 8 9 10 10 9 8 6 5 4 6 9 9 9 9 9 8 8 8 8 8 8 8 7 8 9 9 10 11 12 11 11 12 15 13 12 12 13 13 12 10 9 9 8 8 8 9 9 9 8 8 nan
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nan 3 4 4 4 4 5 6 6 6 6 6 7 7 6 6 6 6 6 5 5 5 6 7 8 8 7 6 5 5 6 6 6 5 5 5 5 5 3 0 -0 6 9 4 1 3 5 7 8 10 13 13 10 8 9 9 8 8 7 6 5 6 7 8 9 11 10 8 8 8 8 9 9 7 6 6 7 8 8 6 6 6 7 8 9 7 7 8 8 8 7 8 7 6 6 8 8 8 8 7 7 7 7 9 9 9 9 9 9 10 11 12 13 14 14 11 9 9 10 nan
nan 4 5 6 6 5 5 5 6 6 6 7 6 6 7 6 6 6 6 6 6 6 5 6 7 8 7 7 6 6 6 5 6 5 5 4 4 4 2 -0 0 7 11 6 2 3 5 7 9 11 14 13 9 8 9 8 8 8 7 6 6 6 7 9 10 10 10 8 8 8 8 8 7 7 6 6 7 8 8 7 7 8 8 9 8 9 9 9 8 8 8 8 7 6 7 8 8 8 7 7 7 7 8 9 8 8 8 8 8 8 9 9 11 12 12 12 12 12 12 nan
nan 5 7 7 7 7 6 6 6 6 7 7 6 6 7 7 7 7 6 6 5 6 6 5 6 7 8 7 6 5 5 6 6 5 5 4 4 3 1 -0 3 9 12 7 1 3 6 8 9 11 14 13 11 9 9 8 8 8 7 7 7 6 8 11 11 10 9 8 7 8 8 7 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 7 8 8 8 8 8 9 9 8 7 6 6 7 7 8 8 8 7 7 8 8 9 9 10 10 10 11 12 13 13 12 nan
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nan 7 7 8 8 7 6 6 6 6 6 6 6 7 6 5 5 5 6 6 5 5 5 6 5 5 5 5 6 6 6 5 5 5 4 3 2 1 3 7 10 12 10 5 3 4 6 8 9 10 12 13 12 11 10 9 8 7 8 10 8 5 9 12 11 9 8 7 7 8 8 8 8 7 6 6 6 6 7 8 8 8 8 9 9 9 8 9 8 8 9 8 8 10 9 7 7 7 8 10 10 10 11 10 9 8 8 7 8 9 8 8 8 8 9 10 11 12 13 nan
nan 7 7 8 8 7 7 7 6 7 7 6 6 7 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 3 1 3 7 9 8 10 10 5 4 5 6 6 8 9 12 12 12 11 10 10 9 8 8 9 8 7 9 11 11 9 7 8 8 8 8 8 8 6 5 5 7 8 8 9 8 8 9 9 9 9 10 11 10 10 10 9 10 10 9 8 8 10 12 12 12 12 11 10 9 8 7 7 8 8 7 6 7 8 8 9 10 11 12 nan
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nan 5 6 6 6 6 7 8 8 8 8 8 7 8 8 7 7 7 6 5 7 8 8 9 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 8 8 6 4 5 7 8 7 5 5 7 10 9 8 8 8 8 8 8 8 6 7 7 7 8 9 9 8 7 6 7 8 9 8 8 8 7 7 8 8 9 11 9 8 8 9 10 10 9 6 5 5 7 11 14 13 10 5 3 6 8 9 11 11 12 14 14 15 15 13 13 13 13 13 13 13 9 4 2 2 nan
nan 5 6 6 6 6 6 7 8 8 8 7 7 7 7 7 8 8 6 5 7 9 10 9 9 8 8 7 7 6 5 5 6 6 6 7 7 8 7 7 6 5 5 6 7 8 6 5 6 8 10 9 8 7 8 7 7 8 8 7 7 7 7 7 8 9 8 7 6 7 9 9 8 9 8 8 7 7 8 9 10 9 8 9 9 10 10 8 5 6 7 8 10 12 9 5 4 6 8 8 9 10 11 11 12 14 14 13 15 15 16 14 13 12 9 4 1 -0 1 nan
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nan 5 5 4 4 5 6 7 7 8 7 7 8 8 8 9 9 9 8 8 8 9 8 7 6 7 7 7 8 8 8 8 9 10 10 10 8 7 7 7 8 9 9 9 9 9 8 8 7 7 6 6 6 7 9 10 10 8 8 9 9 9 10 9 8 8 7 5 6 6 8 7 7 8 9 10 10 11 9 8 8 8 8 7 6 9 11 10 8 7 7 8 7 7 8 9 8 7 9 11 10 9 9 9 9 10 10 9 8 9 9 9 10 10 11 11 10 10 10 nan
nan 5 5 5 5 5 5 6 7 8 8 7 7 7 9 10 10 9 8 8 8 8 7 6 6 7 8 8 9 9 7 8 9 10 9 9 7 5 6 7 10 11 10 9 9 8 7 6 6 7 8 6 5 7 9 10 8 7 6 6 6 7 7 5 5 4 3 5 7 8 9 8 9 9 10 10 11 10 9 8 8 9 9 9 10 12 9 6 5 6 6 6 6 7 9 9 7 6 7 9 10 10 8 8 8 9 9 8 9 8 8 9 10 10 10 10 10 10 11 nan
nan 6 6 5 5 5 6 7 7 8 7 7 7 8 9 9 9 8 8 8 8 8 7 6 8 9 8 8 10 9 7 7 8 9 8 7 7 6 7 9 11 10 9 9 8 7 7 6 6 8 8 5 5 6 8 9 7 5 5 5 6 7 6 5 4 4 5 7 8 9 9 9 9 9 9 9 10 10 8 8 9 9 9 11 13 12 8 6 7 8 8 7 8 8 9 9 9 8 8 8 9 8 8 7 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 nan
nan 6 6 6 6 6 6 7 7 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 9 7 7 7 7 7 7 7 6 7 9 9 9 9 10 8 8 7 7 7 9 7 4 5 7 8 7 5 6 6 7 8 8 7 7 7 8 8 9 9 10 10 9 9 9 9 9 10 10 9 10 10 10 11 13 12 9 7 6 8 10 10 9 8 9 9 9 9 9 8 6 6 7 8 9 9 9 8 9 9 9 10 9 8 8 8 8 8 8 8 nan
nan 6 6 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 8 8 8 8 9 10 9 9 9 10 9 7 6 6 6 7 7 7 6 7 8 9 8 9 10 9 8 7 7 8 8 5 4 6 8 8 7 7 7 8 9 9 9 8 7 8 8 9 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 8 7 6 6 8 9 9 9 8 9 9 9 9 8 8 6 6 7 9 10 9 9 8 8 8 8 9 9 8 8 8 7 8 7 7 nan
nan 6 7 7 8 7 7 6 6 6 6 7 8 9 9 10 9 8 8 8 8 8 9 10 9 9 8 9 10 9 7 6 6 5 6 7 7 8 8 8 8 9 10 10 8 7 7 7 7 6 3 5 7 8 8 8 7 7 8 9 9 8 7 6 7 8 9 9 9 9 8 9 9 10 10 10 10 11 11 10 10 10 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 9 9 9 8 8 9 10 9 8 8 8 8 8 8 9 9 8 8 7 7 7 6 nan
nan 6 7 8 8 7 7 6 6 6 6 7 8 9 10 10 9 8 8 8 8 8 8 10 9 8 8 10 10 7 6 5 5 5 6 6 8 8 8 8 9 8 10 10 7 7 7 8 7 5 5 7 8 8 8 8 7 7 9 9 8 8 7 7 8 9 9 9 9 8 9 9 11 12 10 8 10 11 10 9 8 6 6 8 8 7 7 8 9 9 10 11 11 11 10 9 9 9 9 10 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 7 nan
nan 6 7 7 7 7 7 7 6 6 6 7 8 9 10 9 8 8 8 8 8 7 8 9 8 7 8 9 7 5 4 4 5 6 6 7 8 8 8 9 9 9 9 8 7 8 8 8 7 6 7 8 9 9 8 8 8 9 9 9 9 8 7 8 8 9 9 9 9 9 10 10 11 10 7 6 10 12 11 9 7 5 7 9 9 8 9 10 10 11 11 11 10 9 9 8 8 9 10 10 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 6 7 7 6 7 7 7 6 6 7 7 9 9 9 8 8 8 8 8 8 7 8 8 7 7 8 8 7 5 5 6 7 7 8 8 9 9 10 10 9 9 9 9 10 10 9 8 7 7 9 10 9 8 8 8 8 9 9 9 8 7 6 7 8 9 9 9 9 10 10 10 10 8 6 8 12 13 11 8 5 6 9 11 11 10 10 11 12 12 11 10 8 8 8 8 9 11 12 11 10 10 10 10 11 11 10 10 10 10 11 9 9 9 9 9 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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