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 6 7 7 6 7 7 6 6 6 7 9 11 11 7 6 8 9 11 12 11 12 14 9 2 -2 -3 -2 -1 2 8 8 7 10 10 8 10 11 9 6 7 7 6 7 9 10 10 8 6 4 4 6 6 4 7 11 12 11 9 8 8 7 5 3 5 7 6 5 6 7 7 7 8 9 12 17 22 25 24 20 16 13 10 9 7 6 6 9 16 22 23 23 24 23 22 21 20 20 19 18 18 18 18 15 12 10 8 6 7 7 6 7 7 7 7 7 6 6 7 nan
nan 6 6 6 6 7 7 6 6 6 5 6 8 10 9 6 5 6 9 10 8 10 12 11 6 2 1 2 2 2 6 8 6 6 6 7 8 9 8 6 6 6 5 7 10 12 12 10 8 5 6 7 7 6 6 9 10 10 10 12 12 9 5 3 4 5 5 4 4 5 5 4 5 6 7 10 17 23 24 22 19 15 12 10 9 9 11 16 19 17 15 16 18 20 22 22 22 22 25 28 31 30 24 15 12 12 9 6 6 6 5 6 7 7 8 7 7 8 8 nan
nan 6 7 6 7 7 7 6 6 5 4 4 6 9 9 6 4 5 7 7 6 6 8 10 8 6 4 4 5 3 5 7 7 7 8 8 8 8 8 8 7 6 6 7 9 11 12 11 9 7 6 5 6 6 7 8 6 5 10 14 16 13 7 3 3 4 4 4 4 3 3 4 5 5 5 5 10 19 25 25 21 17 13 12 12 13 17 18 14 10 10 10 10 12 13 13 15 18 22 28 32 31 23 15 12 10 9 7 5 6 7 7 6 7 7 7 7 7 9 nan
nan 8 8 7 7 7 6 6 6 5 5 5 6 8 8 5 4 5 7 7 6 6 8 10 10 8 5 5 4 4 4 5 5 7 9 9 8 8 9 9 8 6 6 7 9 10 10 10 10 8 7 7 7 7 8 7 5 6 10 16 20 18 10 4 4 6 5 4 3 3 2 3 6 6 5 5 7 12 20 25 23 18 14 13 13 14 14 11 9 7 7 7 8 8 8 7 9 11 15 17 18 19 17 14 11 9 9 8 6 7 8 8 7 6 7 7 6 5 8 nan
nan 10 10 9 8 8 7 7 7 6 6 5 6 7 6 5 4 6 7 7 6 7 9 11 11 10 8 6 4 4 5 4 5 7 8 9 9 9 9 9 9 7 5 7 9 10 9 9 9 9 11 14 13 10 9 7 6 8 11 15 18 19 14 9 8 8 7 5 4 3 3 5 6 7 7 8 9 11 15 20 23 20 16 12 12 11 10 8 7 7 7 7 7 7 7 7 7 8 10 9 9 9 9 9 12 13 11 11 11 9 10 11 9 8 8 8 7 6 6 nan
nan 10 11 11 10 8 7 7 8 7 7 7 7 6 6 5 5 6 8 8 8 8 9 10 11 11 11 9 6 5 4 4 5 7 8 9 9 9 9 8 8 7 6 7 8 10 9 8 8 9 11 14 13 9 7 7 7 10 12 13 14 15 14 12 10 10 9 6 4 3 5 8 7 7 9 10 12 12 13 16 18 18 15 12 10 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 8 13 15 14 14 13 12 13 13 13 12 11 11 10 9 nan
nan 8 10 11 10 8 7 7 8 8 8 7 7 7 6 6 6 6 7 9 9 8 9 10 9 9 11 11 9 5 3 4 5 7 8 8 8 9 8 7 7 7 7 7 8 9 9 8 8 8 9 9 9 7 6 6 9 10 10 9 10 10 10 11 10 10 9 7 4 4 6 8 9 9 11 11 11 11 10 11 12 13 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 8 9 12 13 13 13 13 12 12 13 12 12 13 11 9 nan
nan 7 9 10 10 9 9 9 9 8 7 7 7 7 7 6 6 5 6 8 9 8 8 8 8 8 9 10 10 8 5 4 5 6 7 7 7 8 8 8 7 7 8 8 9 10 9 8 8 8 8 8 8 7 6 7 9 9 9 8 7 8 8 8 8 9 9 8 6 6 7 9 10 11 10 9 8 8 8 9 9 8 8 8 8 7 7 8 9 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 11 10 10 9 9 8 8 10 10 6 3 nan
nan 6 7 8 9 9 9 10 9 8 6 6 7 8 6 7 7 6 6 7 8 8 8 8 8 8 7 7 8 8 8 5 4 5 6 7 7 7 9 9 8 8 8 8 9 9 8 8 7 7 7 7 8 7 7 7 8 9 8 8 7 7 8 8 8 8 8 7 7 8 9 9 8 9 9 8 8 8 8 8 7 7 8 7 7 7 7 8 8 8 8 8 7 8 8 7 7 6 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 6 6 8 7 3 0 nan
nan 6 6 6 7 7 8 8 8 7 6 6 7 7 7 8 8 7 6 6 7 8 8 8 8 9 8 7 6 6 7 7 6 6 6 6 7 7 10 10 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 6 7 7 7 7 7 7 6 6 7 7 7 7 8 7 8 8 8 7 7 7 6 7 8 6 3 1 nan
nan 7 7 6 5 5 6 5 6 6 7 7 7 7 7 8 9 8 6 6 6 7 8 8 9 9 9 7 6 5 5 7 7 6 5 6 6 7 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 9 8 8 9 8 8 7 6 7 8 7 7 8 9 8 7 6 7 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 8 8 6 4 3 nan
nan 9 9 9 7 7 6 6 5 6 6 6 6 6 7 8 8 8 7 6 6 6 8 9 10 10 8 7 6 6 6 6 7 7 6 6 6 7 9 8 7 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 8 8 8 7 8 8 8 7 8 9 8 7 6 6 7 8 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 7 6 6 nan
nan 8 8 9 9 9 9 8 6 6 6 6 6 6 6 7 8 9 8 6 5 6 8 10 11 10 7 7 6 6 6 6 6 7 7 7 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 7 8 9 9 8 7 7 8 9 7 5 6 7 7 7 7 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 nan
nan 7 7 7 8 9 9 9 8 8 8 7 6 6 5 6 7 9 8 6 6 7 8 10 10 9 8 7 7 6 6 7 7 8 8 7 5 6 8 8 7 8 9 8 7 7 6 7 7 7 7 8 8 7 7 7 8 8 8 8 8 9 8 7 7 7 8 9 7 6 6 6 6 7 8 8 8 8 7 6 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 7 7 7 6 7 7 7 6 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 nan
nan 7 7 6 6 7 8 9 9 9 9 9 7 6 5 5 7 8 8 7 7 7 8 8 9 10 8 7 7 7 7 8 8 8 8 7 5 5 7 8 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 7 7 8 8 8 7 6 5 5 6 7 9 8 8 7 6 7 7 8 8 7 7 7 8 8 7 8 8 8 8 8 8 7 7 7 6 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 7 7 6 6 7 8 8 8 7 9 9 9 8 6 5 6 7 7 7 7 7 7 7 8 9 8 7 8 8 8 8 8 8 8 7 5 5 6 7 7 7 9 9 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 8 8 8 8 7 7 6 6 6 7 8 8 7 6 6 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 7 7 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 9 9 9 8 8 7 nan
nan 7 7 6 7 7 9 8 6 6 7 8 8 9 8 7 6 6 6 6 6 7 7 7 9 10 7 6 8 8 8 7 8 9 8 8 5 5 6 6 7 7 8 9 9 8 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 8 8 9 7 7 6 7 6 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 9 10 9 8 8 8 8 8 8 8 9 9 8 7 6 7 7 8 7 8 7 7 7 8 8 9 9 9 8 8 7 nan
nan 8 7 7 8 8 9 7 6 6 6 6 7 9 9 8 7 6 5 5 5 6 6 8 9 9 7 6 7 7 7 7 8 9 10 8 5 5 6 7 7 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 8 7 6 6 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 9 8 9 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 9 8 8 8 8 nan
nan 8 8 8 8 9 9 7 6 6 6 6 7 8 8 8 7 7 6 5 4 5 6 7 9 8 7 6 6 7 7 8 8 10 10 9 7 5 7 8 7 7 8 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 8 7 8 9 9 8 6 6 7 8 8 8 8 8 7 7 7 7 8 8 7 8 8 8 8 9 10 10 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 9 9 8 8 8 7 8 8 8 8 8 9 8 nan
nan 7 9 8 9 8 8 8 7 7 6 6 6 7 8 8 7 7 7 6 5 4 5 7 8 9 7 6 6 6 7 8 8 9 9 8 7 6 8 9 8 7 8 9 9 8 8 7 7 8 9 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 8 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 10 9 8 8 7 8 8 8 8 9 9 9 8 9 10 10 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 7 nan
nan 8 9 9 8 8 8 8 8 7 7 7 6 6 7 8 8 8 7 6 6 6 6 7 9 10 8 7 6 6 7 7 8 8 8 8 7 7 8 9 8 7 8 9 8 8 8 7 8 9 9 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 7 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 8 9 9 10 10 9 8 7 8 8 7 8 8 8 8 8 8 7 8 9 10 9 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 nan
nan 8 8 9 9 8 8 8 8 7 7 7 7 7 6 7 8 8 8 7 6 7 7 8 9 10 8 7 6 6 6 7 7 7 8 8 7 7 8 8 7 7 8 9 9 8 8 7 8 8 8 8 8 9 8 8 8 8 9 8 8 8 8 9 9 8 7 7 6 6 7 7 8 9 9 9 9 10 9 9 10 10 10 9 10 10 10 8 7 8 8 8 8 8 8 8 7 7 7 7 7 9 9 8 8 8 9 9 8 8 8 8 8 8 7 6 7 7 8 nan
nan 8 8 8 8 8 8 8 8 7 7 8 8 7 6 6 8 9 8 6 6 7 8 9 9 9 8 7 6 5 6 7 7 7 8 8 6 7 8 9 7 6 8 10 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 7 6 7 7 6 6 7 8 10 9 9 9 9 9 9 9 9 10 9 9 9 8 7 7 7 8 9 8 8 8 8 7 7 7 7 6 7 8 8 8 8 9 9 8 8 8 8 8 7 6 6 7 8 9 9 nan
nan 8 9 8 8 7 7 7 7 7 7 7 8 8 7 6 7 8 8 6 5 7 9 9 8 7 7 7 6 6 6 7 7 8 8 8 6 6 8 8 7 7 9 10 9 8 8 8 8 8 7 8 9 10 9 8 7 8 8 8 8 8 9 8 6 6 7 7 7 7 8 10 10 9 9 9 8 7 8 8 9 9 8 8 7 7 7 6 8 9 9 8 8 8 7 8 8 9 7 6 7 9 8 8 9 9 9 8 8 7 7 7 7 6 7 9 10 10 10 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 6 7 7 6 5 6 9 10 8 7 8 8 7 6 7 7 8 8 9 8 6 6 7 7 7 7 9 9 8 8 7 8 8 8 8 9 9 9 8 8 8 8 8 7 8 9 9 7 5 5 7 8 8 9 9 10 9 9 8 8 7 6 7 9 8 7 8 8 7 7 7 7 8 8 8 7 8 8 8 8 9 8 7 8 10 10 8 8 8 9 8 7 7 7 8 8 8 8 9 9 9 9 10 nan
nan 7 8 8 8 7 7 7 7 6 7 7 7 8 8 8 6 6 7 7 6 7 8 9 7 7 9 9 7 7 8 8 8 8 8 7 6 5 6 6 6 7 8 9 9 8 7 8 8 8 9 9 9 9 8 8 8 8 7 7 8 9 9 7 6 5 7 8 9 9 8 9 8 8 8 7 6 7 8 9 8 7 7 8 8 7 7 8 8 7 7 7 8 8 8 7 7 6 7 9 10 9 7 7 8 8 7 6 6 8 8 7 7 8 8 8 8 9 9 nan
nan 6 8 8 8 7 7 6 7 7 7 7 7 7 8 8 6 6 7 7 6 6 7 8 8 8 10 9 7 7 8 9 8 8 8 7 7 6 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 8 8 7 6 7 7 8 8 9 8 8 8 8 8 7 7 7 8 8 7 7 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 7 7 8 8 8 7 6 7 8 8 7 8 8 8 8 9 9 8 nan
nan 5 6 7 7 7 6 7 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 8 9 10 10 8 7 7 8 9 8 8 8 8 8 7 5 4 7 8 9 8 7 7 7 8 9 9 9 9 9 9 8 8 8 7 7 8 9 8 6 5 6 8 8 8 9 9 8 8 8 9 8 8 8 8 8 7 7 8 9 8 8 8 8 7 7 8 8 8 8 8 7 7 7 8 9 9 8 7 7 8 8 7 7 7 8 8 8 8 8 9 8 9 9 9 8 nan
nan 5 4 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 10 10 9 7 7 8 8 8 8 8 8 8 8 8 6 5 7 8 9 8 6 7 7 8 9 8 9 9 9 8 8 7 7 7 7 8 8 7 5 5 7 8 8 8 9 9 9 8 9 9 9 8 8 8 8 7 7 9 9 8 8 8 8 7 8 8 8 7 7 8 7 7 7 8 9 9 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 9 8 8 8 nan
nan 5 4 4 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 8 8 8 8 8 8 8 8 7 6 6 8 9 8 7 7 7 7 8 8 8 9 9 8 8 8 8 7 7 8 7 7 6 5 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 8 8 7 7 8 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 5 4 4 5 6 7 6 6 6 6 6 7 7 7 8 7 8 8 7 7 7 8 8 8 8 7 7 8 7 7 7 8 7 8 8 7 7 6 7 8 8 8 7 7 7 8 8 8 8 8 9 8 7 7 8 8 8 8 8 7 5 6 7 7 8 9 9 10 9 8 8 9 8 7 7 8 9 9 8 7 7 7 8 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 9 7 7 7 8 nan
nan 4 3 4 4 5 6 6 7 6 6 7 6 7 7 8 9 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 7 6 6 7 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 10 9 8 7 8 8 7 7 7 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 9 8 9 9 8 8 8 8 8 9 9 8 8 8 8 nan
nan 4 3 4 5 5 5 6 7 7 7 7 6 6 7 9 9 9 8 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 7 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 7 9 9 10 9 8 8 7 8 7 7 8 7 7 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 9 9 8 8 8 8 nan
nan 4 4 5 5 6 6 7 7 8 8 7 6 6 8 8 9 8 9 9 9 9 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 7 9 9 8 6 7 7 7 7 7 7 8 9 8 8 8 7 7 7 7 7 6 6 7 8 9 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 8 7 7 7 8 9 9 8 9 8 8 8 8 8 9 9 8 8 8 8 7 nan
nan 5 5 6 7 9 8 8 9 9 8 8 7 7 8 9 9 9 9 9 10 10 8 7 7 7 8 7 7 7 7 7 7 7 7 7 6 6 7 7 9 9 7 6 6 7 7 7 7 8 8 8 8 8 8 7 6 7 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 9 8 8 9 8 7 6 7 8 8 9 9 8 8 8 8 7 8 8 9 10 10 8 8 8 8 8 nan
nan 6 6 6 8 9 10 9 9 9 9 8 7 8 8 10 10 10 9 10 10 10 8 7 6 7 7 7 7 7 7 7 7 7 7 6 6 6 7 9 9 9 8 6 6 6 6 6 7 8 8 8 8 8 7 7 7 7 8 8 7 7 9 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 8 8 9 9 7 7 8 8 8 7 9 9 9 9 8 8 7 7 7 8 9 9 8 8 7 6 6 6 8 9 10 10 9 8 8 8 9 10 nan
nan 7 6 6 7 8 9 8 8 9 9 8 8 8 9 10 9 9 9 10 10 10 8 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 7 6 6 6 7 7 7 8 7 7 7 7 7 8 7 7 7 7 8 8 9 9 8 8 7 8 7 8 8 8 7 7 7 8 8 9 8 8 7 8 8 9 8 8 8 9 9 9 9 8 8 8 8 8 7 8 9 9 10 9 8 7 6 5 6 7 9 10 9 9 8 8 8 9 10 9 nan
nan 8 6 6 7 8 8 7 7 8 9 9 9 9 9 8 8 8 8 10 10 8 6 6 7 7 7 8 8 7 8 7 7 7 6 6 6 7 7 7 8 8 7 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 6 7 8 8 8 8 9 8 7 7 7 8 8 8 7 7 7 8 8 9 9 10 9 8 8 8 8 8 9 9 9 9 8 8 7 7 8 9 9 9 9 9 10 9 8 7 6 5 5 7 10 9 9 8 7 7 7 9 11 10 10 nan
nan 8 6 6 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 9 9 7 6 6 8 8 7 7 7 7 7 6 7 7 6 6 6 7 8 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 7 7 7 8 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 6 7 8 8 9 10 10 10 9 8 8 8 9 9 9 8 8 8 7 7 7 8 9 11 11 10 9 9 9 8 7 6 6 7 10 11 10 8 7 7 7 8 11 11 10 9 nan
nan 6 6 6 7 7 7 7 8 8 8 8 9 9 8 8 9 8 8 8 8 7 6 6 8 8 8 8 8 7 6 6 6 6 6 5 6 7 8 8 8 7 7 6 6 6 7 7 7 7 8 8 8 7 7 7 8 8 7 6 7 9 9 8 9 8 8 8 8 7 7 6 6 7 7 8 8 9 10 11 10 9 7 6 9 9 9 9 9 8 8 8 8 9 10 11 12 11 10 10 9 9 8 8 8 9 9 11 10 9 7 6 6 8 11 12 9 7 7 nan
nan 5 6 6 7 7 7 8 8 8 7 8 8 9 9 8 8 8 8 8 7 7 6 7 8 7 7 8 8 8 7 6 6 7 6 6 7 7 8 8 8 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 8 7 6 6 7 8 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 10 11 10 9 8 7 9 10 9 10 9 7 7 8 9 11 13 12 10 8 8 10 10 9 9 9 10 10 10 10 8 7 6 7 8 9 10 9 6 5 6 nan
nan 4 6 6 6 6 6 7 8 9 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 7 8 8 8 8 7 6 6 7 7 8 8 8 8 8 9 8 8 8 7 7 6 7 7 7 8 8 8 7 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 10 9 9 8 7 7 8 9 11 10 10 7 5 7 9 9 9 10 12 13 12 11 9 7 7 8 9 9 9 7 5 5 6 7 nan
nan 4 5 6 6 6 6 7 8 9 9 8 7 7 8 8 7 8 7 7 7 8 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 8 8 9 8 9 9 9 9 9 8 7 7 6 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 8 9 10 11 10 9 8 8 7 8 8 7 8 8 8 5 5 9 10 9 9 10 12 13 13 12 9 8 8 9 9 8 6 5 5 5 7 8 nan
nan 5 5 6 6 6 6 7 8 8 8 7 7 7 7 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 8 7 7 7 8 9 9 9 8 9 10 10 10 9 9 8 7 6 6 7 8 8 7 7 7 8 8 7 8 8 9 8 8 9 9 9 9 9 9 8 7 7 9 10 11 11 9 8 8 7 7 7 7 7 8 7 6 10 12 12 11 9 9 10 8 10 14 13 11 10 9 7 5 5 5 6 7 9 9 nan
nan 6 6 6 6 6 6 7 8 7 6 6 7 7 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 9 9 10 9 8 7 6 6 6 7 8 8 7 7 7 8 9 10 9 8 9 10 11 10 9 9 8 7 7 7 8 8 7 6 7 7 7 7 7 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 9 10 11 10 8 9 7 7 7 8 7 8 8 9 12 13 12 10 9 7 7 6 9 12 14 13 9 6 7 7 6 7 7 9 9 8 nan
nan 7 6 6 6 7 6 7 7 6 6 6 7 8 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 9 8 6 6 6 6 6 7 8 8 8 7 8 9 10 10 9 8 10 10 10 10 9 9 8 8 7 7 7 7 7 7 6 7 7 7 8 8 8 8 7 7 8 8 7 7 7 7 7 8 9 9 9 8 9 10 9 9 8 7 7 8 8 8 8 8 10 11 11 11 8 7 7 9 9 8 10 11 4 1 7 10 9 8 8 8 8 7 nan
nan 7 6 6 6 7 7 6 6 6 6 7 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 7 6 6 6 7 7 7 8 8 8 7 8 8 9 9 9 8 8 9 9 9 10 10 9 8 8 8 8 7 8 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 9 10 10 8 7 6 6 7 9 9 9 8 8 9 10 10 12 10 8 7 7 6 4 3 5 9 12 14 11 8 8 7 6 nan
nan 7 7 7 7 7 6 7 6 6 6 8 8 9 9 9 10 10 10 10 10 11 11 12 12 11 10 10 10 9 7 6 6 6 6 7 7 8 8 8 8 7 7 8 9 10 9 8 8 8 8 9 10 10 10 9 8 8 8 8 7 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 9 8 8 9 10 9 9 8 7 7 10 11 9 7 8 7 7 8 10 9 8 9 8 7 8 10 9 6 5 6 7 4 4 8 12 15 17 14 7 6 7 6 nan
nan 7 7 7 7 7 6 6 6 6 7 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 6 6 6 7 8 8 8 8 8 8 7 7 8 9 9 9 9 9 8 8 9 10 10 9 8 9 9 8 8 8 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 7 7 7 10 10 9 8 9 9 9 8 8 8 8 8 8 8 7 7 5 4 5 7 5 5 7 9 11 14 16 12 4 3 5 7 nan
nan 6 7 8 8 7 6 6 6 6 6 7 8 8 8 9 10 10 10 9 9 9 8 8 8 8 7 8 8 7 6 7 7 7 8 8 9 9 8 8 9 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 8 8 9 9 8 7 8 8 9 10 9 8 8 8 8 8 8 7 8 7 6 5 6 6 7 8 8 8 9 10 7 6 6 7 9 nan
nan 7 8 9 8 7 7 7 6 6 6 6 7 7 8 9 9 10 10 9 9 8 7 8 8 8 7 7 7 6 7 8 9 9 9 9 9 9 8 9 9 10 10 9 9 8 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 7 7 7 8 8 9 10 9 7 7 7 7 9 12 12 9 8 7 8 8 7 7 7 7 6 6 4 5 7 8 8 8 7 5 5 9 12 12 10 nan
nan 7 8 9 9 8 7 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 8 9 9 8 7 6 6 6 8 9 9 9 9 9 8 8 8 9 10 10 10 9 9 8 9 9 9 9 8 8 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 9 8 7 7 7 7 7 8 9 9 9 8 7 7 8 9 8 9 10 11 11 9 8 8 7 7 8 8 7 7 6 6 8 8 7 6 7 8 7 7 10 14 14 9 nan
nan 7 8 9 9 8 7 6 5 5 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 7 6 6 8 9 9 9 8 8 8 7 7 8 10 10 10 10 10 10 10 10 9 9 10 9 8 9 9 9 9 10 10 11 12 12 11 9 9 8 9 9 9 9 8 9 9 9 10 10 8 7 6 6 8 8 9 10 10 10 9 8 7 8 8 9 9 9 8 8 9 11 10 9 7 7 8 8 8 8 9 10 9 8 6 6 7 8 8 7 8 9 9 8 nan
nan 7 7 8 8 7 7 6 5 5 6 7 7 7 7 8 7 8 8 8 9 10 9 8 8 8 7 7 8 9 9 8 8 8 8 7 7 7 9 10 10 9 9 10 10 10 10 10 9 10 10 9 9 10 10 10 10 11 12 13 12 10 9 9 9 9 9 9 9 9 9 9 9 9 8 6 6 7 8 9 9 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 8 8 8 8 9 10 10 9 9 8 7 7 8 8 8 7 6 4 6 nan
nan 7 6 6 7 6 6 6 5 5 5 6 7 7 7 8 8 8 8 9 9 9 8 7 7 8 9 9 8 8 8 8 8 8 8 7 8 9 9 9 9 8 9 9 10 10 9 10 10 10 10 10 10 10 11 10 11 12 12 12 10 9 8 9 9 10 10 10 9 9 9 8 8 7 6 7 7 8 9 10 10 9 10 9 9 9 9 9 9 10 10 9 9 9 9 8 8 7 7 8 8 8 8 8 9 10 9 9 9 9 9 9 9 9 8 7 6 5 5 nan
nan 6 6 6 6 7 6 6 5 5 5 5 6 7 7 8 8 8 8 8 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 10 10 11 10 10 10 10 10 11 11 11 10 11 11 11 12 10 9 8 8 9 10 11 11 10 10 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 9 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 11 10 10 8 6 6 8 10 9 nan
nan 6 6 6 7 7 7 6 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 10 10 10 10 11 11 10 10 11 11 10 10 9 8 9 9 10 10 11 11 10 9 8 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 8 9 9 9 8 7 8 8 8 7 7 8 8 8 8 8 9 9 8 9 9 10 11 11 11 10 9 9 9 8 7 10 12 11 nan
nan 6 6 7 8 8 7 6 5 5 5 5 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 7 7 8 8 9 9 9 9 8 9 10 10 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 10 10 9 8 7 7 7 8 9 10 10 10 9 9 8 8 9 9 9 8 8 9 9 8 8 8 8 8 8 9 9 9 8 8 9 9 8 6 6 8 9 10 10 9 8 6 5 6 7 9 10 9 8 7 nan
nan 6 6 7 8 8 7 6 6 5 5 5 6 7 8 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 9 9 9 9 10 10 9 10 10 10 9 9 9 8 8 9 9 9 9 10 10 8 7 8 8 9 10 10 10 9 9 8 9 9 9 9 9 8 7 8 9 8 8 7 7 8 8 8 9 10 10 8 9 9 9 8 7 6 7 7 8 8 6 4 4 3 5 6 7 7 6 7 8 nan
nan 7 7 7 8 8 8 7 6 5 6 6 7 8 8 8 7 7 6 7 8 8 7 7 7 8 7 7 6 7 8 9 8 8 7 8 8 9 9 9 9 9 10 10 9 8 9 9 9 9 9 9 9 9 9 10 9 9 9 7 8 9 9 9 9 9 8 8 8 9 9 10 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 9 9 8 8 9 9 8 7 8 8 8 8 7 6 5 6 6 6 7 7 7 6 8 10 nan
nan 7 7 7 8 8 8 8 8 6 6 7 8 7 7 7 7 7 7 7 8 8 7 7 8 7 8 8 7 7 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 9 8 9 9 8 8 7 8 8 8 9 10 8 8 8 8 9 9 9 9 9 8 9 9 10 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 8 8 7 7 8 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 8 9 8 8 9 9 8 9 10 nan
nan 7 8 8 9 10 10 9 8 6 6 6 7 7 7 6 6 6 7 8 8 8 8 7 7 8 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 8 7 7 7 8 8 9 10 8 7 8 8 9 10 10 9 9 9 9 9 9 8 7 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 nan
nan 7 8 9 10 10 11 10 8 7 7 7 7 6 6 5 6 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 7 7 7 7 8 10 10 8 7 8 9 9 9 10 10 9 10 9 8 7 7 7 7 7 8 8 8 9 8 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 11 11 10 10 11 11 12 11 10 11 nan
nan 7 9 9 10 10 10 10 8 7 7 7 6 5 5 5 7 8 9 9 9 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 8 7 8 8 9 9 9 9 8 8 8 7 7 7 8 8 8 9 8 8 9 8 8 8 8 8 7 7 8 9 9 8 7 7 8 8 8 8 9 8 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 11 12 12 13 12 11 11 nan
nan 7 9 8 8 9 10 11 9 8 7 6 5 4 5 6 8 9 9 10 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 9 8 8 8 9 8 9 8 9 9 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 9 9 8 7 7 7 8 8 9 9 9 9 9 10 10 9 9 9 9 8 8 9 9 9 9 9 10 11 10 11 10 9 9 9 nan
nan 7 9 8 8 10 11 11 10 8 7 6 5 5 6 7 8 9 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 6 6 7 8 9 9 9 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 9 10 9 8 8 7 7 7 7 nan
nan 7 8 9 10 12 13 12 9 7 6 5 5 6 7 8 9 9 10 10 9 9 9 9 9 10 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 8 7 7 7 8 9 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 9 8 8 8 8 8 9 9 9 8 8 9 9 8 8 8 9 10 10 9 9 9 9 8 8 9 8 7 7 7 6 6 6 5 nan
nan 7 8 10 12 13 12 10 7 6 5 5 6 6 8 8 9 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 9 9 9 8 8 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 10 9 10 10 10 10 9 10 9 10 10 9 8 7 7 8 8 8 8 8 9 9 8 7 8 8 8 7 7 8 9 10 9 8 8 8 7 6 6 5 5 6 5 5 5 5 5 4 nan
nan 7 8 10 11 11 10 8 7 6 7 7 6 7 8 9 10 10 9 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 9 8 8 8 9 9 10 10 9 9 9 9 9 9 8 7 7 7 7 8 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 7 6 5 4 3 3 4 4 5 5 5 5 5 6 6 nan
nan 6 7 8 9 9 8 8 8 8 8 7 7 8 8 10 10 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 8 8 8 8 8 9 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 8 8 9 9 10 10 9 9 9 9 8 8 7 7 8 7 7 8 9 8 7 7 7 7 8 8 8 7 8 9 9 9 7 6 5 4 4 4 4 5 5 6 6 6 6 7 7 7 7 nan
nan 6 7 8 8 8 8 8 8 7 7 8 8 9 9 9 8 7 7 7 7 7 8 7 7 7 7 8 7 7 7 7 7 8 8 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 10 10 9 9 9 9 9 8 7 7 8 9 8 8 9 8 7 7 8 8 8 8 8 7 8 9 9 7 6 6 6 6 5 5 6 7 7 7 7 8 8 8 9 9 9 nan
nan 7 7 7 7 8 8 8 8 7 7 8 8 9 9 7 6 6 6 7 7 7 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 8 8 9 8 9 10 10 9 8 8 8 8 8 8 8 8 7 6 6 7 8 7 6 6 7 8 7 7 8 9 9 9 9 8 8 8 8 9 9 9 nan
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