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 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 7 8 9 10 9 9 8 8 8 8 8 8 8 7 6 5 5 6 6 5 3 2 3 7 13 15 12 10 9 9 9 9 6 2 -1 0 5 9 10 10 10 10 11 11 11 11 11 12 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 8 8 8 9 9 9 9 10 10 10 10 10 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 nan
nan 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 7 7 6 6 6 6 6 5 5 5 5 6 6 6 7 8 10 14 16 14 11 10 9 10 9 7 3 -1 0 7 14 15 14 12 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 nan
nan 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 6 5 5 4 5 6 6 5 5 6 7 7 8 9 10 9 9 11 12 12 11 10 10 10 9 5 1 1 7 16 20 19 15 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 8 7 7 6 5 5 5 6 7 7 7 6 6 6 7 8 8 8 8 6 4 5 9 11 12 10 10 10 9 6 4 8 16 21 21 18 15 15 14 14 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 nan
nan 8 8 8 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 6 7 7 8 8 8 7 7 6 6 6 7 9 8 7 7 7 7 7 7 7 7 6 5 7 10 15 16 14 11 10 10 10 11 13 19 23 23 20 17 16 18 17 15 13 12 12 11 11 11 10 10 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 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 14 nan
nan 8 8 8 9 8 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 8 8 8 8 8 7 6 7 8 8 7 6 6 7 8 8 8 8 8 8 9 12 17 19 17 14 11 11 11 12 14 17 20 21 19 16 14 16 18 17 15 13 12 11 11 10 10 10 9 9 9 10 10 10 10 10 10 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 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 12 12 12 12 12 13 13 nan
nan 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 6 6 7 9 9 9 9 9 9 9 9 11 13 13 12 11 11 11 11 11 11 11 12 12 12 11 11 13 14 15 14 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 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 12 12 12 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 9 7 7 8 8 7 8 8 8 7 7 6 6 7 9 11 11 10 10 10 9 9 8 8 8 8 7 7 8 8 9 9 8 7 8 9 10 10 9 10 11 12 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 10 9 8 8 8 8 8 8 9 8 8 8 7 6 5 6 7 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 7 6 5 6 7 7 7 7 7 6 5 5 6 8 11 12 11 10 10 9 9 9 8 8 7 7 6 6 6 6 7 9 9 9 9 10 11 10 10 10 11 12 12 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 9 9 8 8 8 8 9 9 9 10 9 8 7 6 6 6 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 7 5 3 4 6 6 7 7 6 6 5 5 5 7 9 11 11 10 10 10 9 9 9 8 8 9 8 7 6 6 6 8 10 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 9 9 9 9 9 10 10 10 10 9 8 8 9 9 8 7 6 7 8 9 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 6 4 4 5 6 7 6 6 6 6 7 8 9 10 11 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 10 10 11 11 12 12 12 11 11 11 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 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 8 8 9 9 9 9 9 10 10 10 9 9 9 10 11 11 11 10 9 10 11 11 11 9 8 6 6 6 7 8 7 6 5 5 6 7 8 8 7 7 7 7 6 6 8 8 8 6 6 7 8 10 11 12 12 11 10 9 8 8 8 9 10 10 11 11 11 10 10 9 9 11 12 12 11 11 12 12 12 12 11 10 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 12 12 12 11 11 10 9 7 7 6 7 8 8 8 6 5 6 7 8 9 8 7 7 8 8 8 9 10 10 8 7 7 8 9 10 11 11 11 10 10 10 9 8 9 10 11 12 13 13 11 10 10 10 12 14 14 13 11 11 12 12 12 11 10 10 9 8 7 7 6 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 nan
nan 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 11 11 10 10 9 8 9 9 9 10 11 12 11 9 7 7 8 9 9 9 9 10 11 12 12 11 11 13 14 15 15 14 13 11 10 10 11 13 14 14 12 11 12 12 12 12 11 11 10 9 8 7 7 6 6 4 3 4 7 7 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 11 10 10 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 11 11 11 11 11 11 nan
nan 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 7 7 7 7 8 9 10 10 12 12 11 10 10 11 12 13 12 11 10 9 10 11 11 11 11 12 12 10 8 7 8 9 9 9 8 9 9 10 11 12 13 14 14 15 16 15 13 12 12 11 11 12 13 12 11 10 11 13 13 13 12 11 11 10 10 9 9 8 6 3 0 0 4 7 8 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 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 nan
nan 9 8 8 8 8 8 9 9 9 10 10 9 9 9 10 10 9 8 6 6 7 7 7 8 9 9 10 10 10 10 10 10 11 11 10 10 10 11 12 13 13 12 11 11 10 9 7 8 9 10 10 10 10 9 9 9 10 11 12 12 12 12 11 11 11 12 13 13 14 14 13 11 10 10 11 12 12 12 12 11 11 10 10 11 11 9 6 3 1 5 10 12 13 14 13 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 10 10 10 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 11 11 11 11 11 11 10 10 10 10 10 nan
nan 8 8 8 8 8 9 9 9 10 10 10 10 9 9 10 9 8 6 6 7 8 8 8 7 6 6 7 7 8 9 9 9 10 9 10 10 9 10 11 11 12 11 10 9 9 8 8 10 11 11 11 11 11 10 9 9 9 10 10 10 10 9 8 8 10 12 13 13 14 14 14 13 11 11 10 11 11 10 10 10 11 12 12 12 11 9 8 8 11 15 18 20 21 20 19 18 17 16 16 16 15 14 13 12 12 11 11 11 11 11 10 10 10 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 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 nan
nan 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 8 7 6 7 7 8 9 8 7 5 5 5 6 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 10 12 12 11 10 10 10 10 9 9 9 9 9 9 8 6 7 9 10 11 11 11 12 12 13 13 13 12 12 12 11 9 9 10 11 13 13 11 10 9 10 13 17 20 21 22 21 21 21 22 23 24 23 22 19 16 13 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 7 7 7 8 9 9 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 7 6 5 6 8 10 12 12 11 10 10 10 9 9 9 9 9 9 9 8 6 6 8 10 12 11 10 10 10 11 11 12 13 13 14 14 12 11 11 12 12 12 10 9 9 9 10 12 14 16 15 13 12 11 13 16 19 22 22 21 17 13 12 13 14 14 13 12 12 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 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 nan
nan 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 8 9 9 10 10 9 9 9 9 8 8 7 6 5 5 5 6 8 10 11 11 10 8 7 6 8 10 11 12 11 11 10 10 9 9 9 10 10 10 10 10 8 7 8 10 12 12 11 10 10 10 10 11 11 12 12 13 13 12 13 13 13 11 10 9 9 9 10 10 11 11 10 9 7 5 4 4 4 6 8 9 8 6 6 10 16 19 16 13 12 12 12 12 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 nan
nan 10 10 10 9 9 9 10 10 10 10 10 10 9 9 8 8 7 8 8 9 10 10 10 9 9 9 10 10 10 10 9 8 7 8 10 12 14 14 13 11 10 10 11 12 12 12 11 11 10 10 10 10 9 10 10 11 11 11 10 9 9 11 12 13 12 11 10 10 11 11 11 11 10 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 10 9 7 3 1 0 -1 -3 -2 3 10 16 16 12 11 11 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 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 12 12 12 nan
nan 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 8 9 10 11 11 10 10 10 10 10 11 11 12 11 10 9 9 11 12 13 13 12 12 12 14 15 15 13 12 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 11 12 13 12 11 11 11 11 11 10 10 9 9 8 8 9 9 9 9 8 8 8 8 9 10 10 11 11 12 13 15 16 17 16 14 11 9 7 5 8 12 16 16 12 11 13 14 15 14 14 14 13 13 13 13 14 15 17 17 16 16 16 15 15 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 nan
nan 9 10 10 10 11 11 11 10 10 10 9 9 7 6 6 7 8 8 9 10 11 11 10 10 10 10 10 11 11 10 9 8 9 10 11 12 12 12 12 12 14 15 15 14 13 12 11 11 11 11 10 10 11 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 10 11 11 12 13 15 16 17 19 21 21 21 21 22 24 27 28 24 21 21 22 22 21 19 18 16 15 14 14 16 19 22 24 22 19 16 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 9 9 10 10 10 11 10 10 9 8 6 5 3 3 3 4 5 6 7 8 8 8 9 10 11 10 10 10 9 7 7 8 9 11 12 13 12 11 11 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 11 12 13 15 18 21 22 24 26 28 30 29 27 27 28 28 28 28 27 24 21 19 19 19 20 23 26 25 21 18 15 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 10 10 10 10 9 7 6 4 2 1 -0 0 1 1 2 2 2 2 3 4 7 10 11 10 10 8 7 7 7 9 11 13 13 13 12 11 11 11 11 12 11 11 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 12 13 15 16 17 18 19 19 19 20 21 22 24 25 27 27 26 25 25 26 25 24 23 21 18 16 15 16 16 15 15 14 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 10 10 11 10 10 8 6 3 2 1 1 1 2 3 3 3 2 1 0 -0 0 2 4 6 7 7 7 7 6 7 8 10 11 12 13 12 11 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 6 6 6 6 7 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 12 13 14 15 17 18 19 20 23 26 27 27 25 22 19 16 17 19 21 22 20 18 14 12 11 10 9 8 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 11 11 11 10 8 6 4 2 2 3 5 6 7 8 8 8 7 6 5 4 3 3 2 0 -0 0 1 2 4 6 8 9 9 9 8 9 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 7 6 5 5 4 4 4 6 8 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 13 13 12 12 12 11 11 10 10 10 10 9 9 8 8 9 9 10 10 10 11 11 11 11 12 14 17 19 20 21 22 22 21 20 19 19 18 17 15 12 10 8 7 7 6 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 nan
nan 11 11 11 9 7 6 5 6 7 9 10 10 11 11 11 11 11 10 10 9 7 5 2 -2 -4 -5 -4 -2 0 3 6 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 9 9 8 8 8 9 8 8 7 6 5 5 4 5 4 4 4 5 8 10 10 10 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 11 12 13 14 14 14 12 10 10 9 9 9 9 8 9 9 10 10 10 10 10 10 11 11 10 10 10 11 12 13 14 15 16 18 18 15 9 5 2 1 2 2 3 4 5 5 5 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 12 nan
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nan 9 9 9 9 10 11 12 14 16 17 17 17 17 16 14 13 12 11 10 9 9 8 8 7 7 7 5 4 3 1 -1 -1 0 3 5 6 6 6 6 5 5 5 6 7 7 8 9 9 10 10 10 9 7 5 4 3 3 4 5 7 9 11 13 14 14 12 9 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 12 11 10 10 10 9 9 8 8 8 9 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 10 10 9 8 3 -1 -3 -3 -1 1 2 3 5 6 6 7 7 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 12 13 14 14 14 14 14 13 13 13 13 12 11 10 9 9 9 9 9 9 9 8 7 5 4 3 3 3 2 0 1 2 3 4 5 6 6 6 7 8 10 10 10 10 9 7 6 6 6 8 8 9 9 10 12 13 13 13 11 9 8 8 8 8 8 9 9 9 10 10 10 9 8 7 7 8 8 8 8 9 10 10 10 10 11 11 10 9 8 8 9 10 10 10 11 12 12 11 11 11 11 10 10 11 11 10 9 8 7 5 1 -3 -5 -4 0 4 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
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nan 9 8 8 9 9 10 10 10 9 7 4 3 4 7 10 12 13 13 13 13 12 11 10 10 9 9 9 9 9 9 10 10 9 8 7 5 3 2 2 3 4 5 7 8 9 8 7 7 7 6 6 5 6 7 7 6 5 6 7 8 8 6 5 6 7 8 8 9 9 9 9 8 8 8 8 7 6 6 7 8 8 8 7 7 7 8 8 7 8 8 7 8 9 10 10 11 11 10 10 11 12 11 11 11 10 10 10 10 11 11 10 10 10 9 5 1 -2 -1 2 6 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 9 9 9 9 9 9 9 9 7 5 4 5 8 11 13 12 11 12 12 13 13 13 12 12 11 11 11 11 12 13 14 15 14 13 12 11 10 9 7 6 4 4 5 6 7 7 6 5 4 4 3 4 4 4 4 4 5 6 8 8 7 5 5 6 6 6 6 7 7 8 8 10 11 11 10 8 8 10 11 12 11 11 9 8 7 7 6 6 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 11 11 10 10 9 10 11 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 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 9 9 9 9 9 9 9 8 7 6 8 12 15 16 15 12 11 11 11 12 12 14 14 15 15 15 16 17 18 19 21 21 19 17 15 14 14 13 13 11 8 6 5 4 5 6 7 6 5 4 4 4 5 5 6 8 10 11 12 11 8 7 7 7 7 7 6 6 6 7 10 12 13 12 9 8 8 9 10 11 10 10 9 7 5 4 4 6 7 7 8 9 10 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 13 16 19 17 15 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 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 9 9 8 8 8 8 8 7 7 8 11 14 15 14 12 11 10 10 10 10 10 12 13 14 16 17 19 20 22 23 23 22 20 18 17 17 17 17 17 16 14 12 9 7 6 8 9 9 8 7 7 7 8 9 10 12 13 13 12 10 9 8 8 8 9 9 8 7 8 10 12 12 11 8 7 7 7 7 7 8 7 7 5 3 2 3 5 7 8 9 10 11 11 12 12 12 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 11 14 16 14 11 9 7 8 9 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 11 11 11 11 11 11 11 11 12 12 12 nan
nan 9 9 9 9 9 9 8 7 7 8 10 10 10 9 9 8 9 9 9 9 9 9 10 11 14 16 17 18 18 18 17 16 16 17 19 20 20 21 22 22 20 19 17 16 16 15 14 12 10 9 9 9 10 10 11 11 10 9 7 6 7 7 8 8 9 9 9 9 9 10 10 8 6 6 7 9 9 9 8 7 6 4 3 3 5 7 9 10 11 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 12 12 10 6 4 3 4 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
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nan 9 10 10 10 10 9 9 9 9 9 9 8 7 4 2 2 4 5 7 8 8 9 10 12 13 14 14 13 12 11 11 10 11 12 12 14 15 17 17 17 17 18 19 19 18 16 13 11 10 10 10 10 10 9 9 8 7 6 5 6 6 7 7 7 8 8 9 10 11 12 13 13 13 14 14 13 13 12 11 10 10 12 14 16 17 17 16 15 15 15 15 14 14 13 11 11 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 10 11 12 13 12 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 11 11 12 12 12 12 12 12 12 12 12 12 12 12 nan
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nan 6 4 4 4 5 7 9 9 10 10 8 6 4 4 6 8 8 8 10 15 19 19 18 17 14 12 11 10 9 8 9 9 10 11 12 12 13 12 12 12 13 14 15 16 17 17 16 16 17 18 18 18 17 17 17 17 18 19 21 23 24 24 21 19 17 16 16 17 16 14 11 9 8 8 8 9 11 12 12 12 11 10 9 9 9 9 9 8 8 9 10 11 12 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 12 13 15 16 20 23 25 25 23 21 19 18 17 17 15 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 16 22 28 29 nan
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nan 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 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 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 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 11 10 10 11 11 11 11 11 10 8 8 9 10 13 15 15 15 15 15 16 18 21 23 25 26 28 28 26 23 18 13 9 6 4 2 1 1 1 0 0 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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0 0 0 1 1 1 3 4 3 4 6 9 12 13 13 13 10 10 11 12 13 11 21 28 32 36 38 44 46 47 50 52 55 57 61 68 79 83 82 86 98 106 110 99 83 75 69 66 63 58 52 46 40 34 29 25 21 16 13 10 7 6 6 6 6 7 8 9 9 10 11 13 14 15 15 15 17 17 17 19 19 19 20 19 17 15 13 10 6 2 1 0 0 2 4 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 3 3 4 4 5 5 6 6 8 9 10 11 12 12 12 12 12 12 12 11 12 13 14 15 16 19 20 22 24 25 26 26 27 28
0 0 1 2 2 3 3 4 4 5 6 9 11 10 9 9 9 11 13 14 14 13 14 16 20 25 32 33 33 34 41 38 33 32 42 63 72 77 79 81 86 93 96 95 91 78 64 58 55 52 47 42 36 30 25 18 14 12 11 10 7 6 5 4 3 6 7 9 10 11 14 16 17 18 18 18 19 20 19 20 20 20 19 19 16 13 11 8 4 2 0 0 1 2 4 6 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 4 5 5 5 5 6 8 9 10 11 11 11 10 10 11 12 11 11 11 11 12 12 14 16 17 19 21 23 24 25 26 27
1 2 3 3 3 4 3 4 4 5 7 8 7 6 6 8 11 14 15 15 15 14 14 14 15 15 20 21 20 21 22 23 22 25 36 53 60 66 70 74 76 78 77 75 76 68 62 56 49 44 40 35 29 24 19 12 9 8 8 9 7 5 4 4 2 5 7 9 11 14 17 18 19 19 20 21 22 23 22 23 23 22 19 17 14 11 8 6 4 2 1 1 2 4 5 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 3 3 4 4 5 5 6 7 8 9 10 10 10 10 9 9 10 11 11 10 10 10 11 11 12 13 14 16 18 20 22 25 26 27
2 2 2 2 3 3 3 4 4 4 6 7 7 7 8 11 15 17 17 16 16 17 17 17 17 18 19 20 21 24 24 26 29 29 29 31 41 50 55 57 53 54 57 58 61 61 61 55 41 34 30 25 22 18 13 9 8 7 5 6 5 5 5 4 4 5 8 10 13 14 17 19 20 20 22 24 24 24 23 23 23 21 18 13 10 7 5 4 3 2 1 1 2 2 3 3 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 2 3 3 4 4 4 6 7 9 9 10 9 8 8 8 8 8 9 9 8 8 8 9 10 10 12 13 15 16 18 20 24 26 27
1 2 2 3 4 4 4 4 4 4 6 7 8 9 11 17 20 20 19 18 19 20 20 20 20 20 23 25 25 30 33 34 34 33 32 35 37 39 40 39 35 33 34 37 38 34 33 34 30 25 22 20 18 15 11 8 6 5 5 5 6 6 6 4 6 7 9 12 13 14 15 16 18 20 21 21 20 20 20 19 18 16 12 9 7 5 3 3 2 2 1 0 1 1 1 1 2 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 3 4 4 6 7 8 9 9 8 7 7 7 7 7 6 6 6 6 7 7 8 9 10 11 13 14 16 18 20 24 26
2 3 4 4 6 5 5 4 5 6 7 8 9 11 12 22 28 28 27 26 28 27 24 24 24 26 30 34 34 35 35 35 36 35 35 35 35 33 30 27 25 24 24 26 25 25 25 24 22 20 18 17 14 12 9 7 6 5 6 7 8 9 8 8 9 10 11 13 14 14 15 17 15 15 15 14 12 13 13 13 12 11 9 8 7 6 4 4 3 2 0 0 0 0 0 0 1 3 3 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 1 1 1 1 2 3 3 4 5 6 7 7 8 8 7 6 5 6 6 6 5 4 4 5 6 6 6 6 7 8 9 10 12 14 17 18 21 25
2 3 4 4 4 5 5 6 6 8 9 10 11 12 14 22 29 36 41 38 37 34 30 30 30 34 39 43 44 43 42 40 38 35 31 28 24 23 23 23 23 22 22 24 24 23 21 20 19 18 17 15 12 9 7 6 7 8 11 13 13 13 13 13 14 16 16 16 16 17 18 18 15 13 10 9 8 9 9 9 8 9 9 8 8 8 6 4 2 0 0 0 0 0 0 0 1 2 3 2 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 2 2 3 4 5 6 6 7 7 6 5 5 5 5 5 4 4 4 4 4 5 5 5 6 7 8 9 10 11 13 15 17 20 24
3 3 3 3 4 5 6 7 7 8 10 11 11 13 20 27 33 39 50 54 50 43 36 38 38 41 49 54 52 49 46 43 37 30 24 20 17 19 23 26 30 33 38 34 30 28 25 23 21 20 19 14 12 10 9 10 14 20 27 31 28 26 22 22 26 27 26 24 21 22 21 20 16 12 9 8 8 8 8 8 7 8 9 9 9 7 5 3 2 0 0 0 0 0 0 0 0 1 2 2 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 1 1 2 2 4 4 5 5 6 6 5 4 4 4 4 4 3 3 3 3 3 4 4 3 4 5 5 6 7 9 10 11 13 16 19 24
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