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 7 6 5 6 6 7 8 9 10 10 9 8 8 8 8 9 9 9 9 10 11 12 12 11 10 9 9 9 9 9 9 11 13 16 18 19 18 16 13 12 11 10 10 11 12 13 12 12 12 11 11 11 10 9 10 10 10 10 10 10 11 12 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 10 11 11 12 11 11 10 10 10 10 11 12 13 13 13 13 12 11 9 8 8 8 8 8 8 9 9 9 nan
nan 9 9 9 9 8 7 7 7 8 8 7 7 7 8 8 8 8 8 7 8 10 11 12 11 10 9 9 9 9 9 9 9 11 14 16 18 17 16 14 12 12 11 10 11 12 13 14 14 14 13 13 12 11 11 10 11 11 11 10 11 11 12 12 13 13 12 11 10 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 11 12 12 13 12 11 11 11 11 11 12 13 14 14 13 12 11 9 9 8 8 8 8 8 8 9 9 9 nan
nan 10 11 11 11 11 9 8 8 8 8 7 7 7 8 8 8 8 8 6 7 9 11 12 12 11 9 9 9 10 11 10 10 11 12 14 17 18 17 15 14 13 12 11 11 12 12 14 15 15 14 14 13 12 11 11 11 12 11 11 11 12 11 12 13 13 13 12 11 9 9 9 10 10 10 10 11 11 11 10 10 10 11 11 12 12 13 13 12 11 11 11 11 12 13 13 14 14 13 11 10 9 8 8 7 8 8 8 8 8 8 9 nan
nan 9 10 10 11 12 11 11 11 11 10 9 8 8 9 9 9 9 8 7 7 8 10 12 13 12 11 10 10 10 11 11 11 11 12 14 17 18 18 18 16 15 14 13 12 12 12 13 13 13 14 13 13 12 11 11 12 12 12 11 11 11 12 12 12 13 13 13 11 10 10 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 11 12 13 13 13 13 13 12 11 10 9 8 7 8 8 9 9 9 8 8 8 nan
nan 8 9 8 9 10 11 11 12 13 13 12 11 10 10 10 11 10 9 7 7 8 10 12 13 12 11 11 10 10 11 12 12 12 13 15 17 19 21 20 19 17 16 16 15 14 13 13 13 13 14 14 13 12 12 12 13 13 12 12 11 11 12 12 12 13 13 13 12 12 10 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 11 13 13 13 13 13 12 11 10 10 9 8 8 9 9 10 9 8 8 8 8 nan
nan 8 8 7 7 8 9 11 13 14 14 13 12 11 11 11 12 11 10 9 8 9 10 11 11 11 11 10 10 10 11 11 12 12 13 15 18 21 22 21 20 20 19 19 19 18 17 17 16 15 15 15 15 14 13 13 13 14 14 13 12 12 12 12 12 13 13 13 13 13 11 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 13 13 14 13 13 13 12 12 11 10 10 10 10 10 10 10 9 8 8 8 8 nan
nan 9 9 8 7 7 9 10 12 14 14 14 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 13 16 18 20 20 20 20 20 20 21 21 21 21 20 20 19 18 17 17 16 15 15 14 14 14 14 14 13 13 13 13 13 13 13 13 12 11 10 10 9 9 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 12 13 14 14 14 13 13 13 12 11 11 10 10 10 10 10 10 9 9 8 8 8 nan
nan 10 10 9 8 7 7 8 11 13 14 14 13 12 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 13 14 14 14 15 15 16 17 19 20 22 22 22 22 21 21 20 18 17 17 16 15 15 15 14 14 14 14 13 13 13 13 13 13 12 12 11 10 9 10 10 10 11 11 11 11 11 10 10 11 11 11 12 12 12 13 14 14 14 14 13 13 13 12 11 10 10 10 10 10 10 10 9 9 8 8 7 nan
nan 10 11 11 9 8 6 6 8 10 13 14 13 12 11 10 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 8 9 10 11 13 14 15 16 18 19 20 22 23 22 20 19 18 17 16 15 15 15 15 15 14 13 13 13 13 13 13 12 11 10 9 9 10 10 11 11 11 11 11 10 10 11 11 12 12 12 13 13 14 14 13 13 13 13 13 12 11 10 9 9 10 10 10 9 9 8 8 8 8 8 nan
nan 10 11 12 11 9 7 6 7 9 11 12 13 12 11 10 9 8 8 8 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 7 8 8 10 11 11 11 11 11 13 15 18 21 23 23 21 20 19 19 17 17 16 16 16 15 15 14 14 14 13 14 13 13 12 11 10 10 11 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 13 13 12 12 12 12 11 10 9 8 9 9 9 8 8 7 7 8 8 8 8 nan
nan 11 12 13 13 11 9 8 7 9 11 12 12 13 12 11 10 9 8 8 9 10 11 11 11 11 10 10 10 9 9 9 9 8 9 9 9 9 10 10 12 13 14 15 15 14 14 16 18 21 22 20 20 21 22 21 20 19 18 18 18 17 17 17 16 16 15 15 15 15 14 14 14 14 14 15 16 16 15 15 15 15 15 15 15 15 15 15 14 14 13 13 12 12 11 11 10 10 9 8 8 8 8 8 7 6 7 7 8 8 8 8 nan
nan 12 13 14 15 14 12 10 9 9 10 11 12 12 13 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 11 12 14 18 20 20 21 21 22 22 21 20 20 23 25 24 23 21 21 20 20 20 20 20 20 19 19 18 18 18 18 18 18 19 19 20 20 20 21 21 21 21 21 21 20 18 17 16 15 14 13 12 12 11 11 10 10 8 7 7 7 8 8 7 7 7 7 8 8 8 8 8 nan
nan 12 13 13 14 13 13 11 9 9 10 11 11 12 12 12 13 12 11 10 10 10 9 9 9 9 9 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 10 13 16 18 19 20 20 19 19 20 23 25 26 26 25 24 23 23 23 23 22 22 22 22 21 20 20 20 20 21 21 22 22 22 23 23 24 25 25 25 26 25 23 21 19 16 14 13 12 12 11 11 11 10 9 8 7 7 8 8 8 7 8 9 9 9 9 8 8 8 nan
nan 12 12 12 12 12 11 10 9 9 9 10 11 12 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 8 8 8 8 9 9 8 8 8 8 7 7 7 6 6 7 9 10 11 10 10 11 14 18 20 20 21 22 23 23 24 24 24 23 22 20 18 18 19 21 21 21 21 22 22 22 23 23 23 24 25 26 26 26 25 23 21 18 16 14 13 12 11 11 11 11 10 9 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 nan
nan 12 11 11 10 10 9 9 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 7 6 5 4 3 4 4 3 4 4 6 8 9 10 12 14 15 18 21 21 20 18 16 12 10 12 17 21 22 21 20 20 21 21 21 21 21 21 21 22 22 22 20 19 18 16 14 12 12 11 11 12 12 12 10 9 9 9 10 10 10 10 11 11 11 11 10 9 9 9 9 nan
nan 12 11 10 10 9 9 8 8 9 10 11 11 11 10 9 9 8 8 8 9 9 9 9 9 8 7 7 6 6 6 6 7 8 9 10 10 9 9 9 9 8 8 7 6 5 4 5 5 5 6 6 6 6 6 7 7 8 10 13 13 11 9 8 7 8 13 18 20 19 17 17 18 18 18 18 17 17 17 17 17 17 16 14 13 12 13 11 11 11 11 12 12 12 11 11 10 11 12 12 11 10 11 11 12 12 11 10 10 10 10 9 nan
nan 14 12 11 11 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 10 10 10 9 8 7 7 7 7 6 5 6 7 9 11 11 11 10 9 9 9 8 8 8 8 8 8 9 10 10 9 9 9 8 8 8 8 8 7 5 4 4 5 8 12 15 15 14 11 9 10 12 13 14 13 13 12 12 12 12 11 11 10 9 9 10 10 10 11 11 12 12 11 11 12 12 13 13 11 10 10 11 12 13 12 11 11 10 10 10 9 nan
nan 16 14 12 11 11 11 11 10 9 10 10 10 9 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 7 6 5 6 9 12 12 12 12 10 9 9 9 9 9 9 9 10 11 12 12 11 11 11 11 11 11 10 9 8 6 6 6 7 9 10 10 10 8 6 5 6 8 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 10 10 11 11 12 11 11 11 12 11 9 7 7 8 10 12 13 13 12 11 11 10 10 10 nan
nan 17 15 14 13 12 12 12 12 11 10 9 9 8 8 7 8 8 9 10 10 10 9 9 8 9 9 9 9 8 7 6 6 7 10 12 13 14 13 10 9 9 9 8 8 9 9 10 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 8 9 11 14 14 13 13 12 11 9 8 7 7 7 8 7 7 7 7 8 8 8 9 10 10 10 11 10 10 10 10 9 7 6 5 6 9 11 12 13 13 12 11 11 11 10 10 nan
nan 16 14 14 13 13 13 13 13 12 11 10 9 8 7 7 8 9 10 10 10 9 9 8 8 9 10 9 9 8 7 7 6 8 11 12 14 15 13 10 9 9 8 8 8 9 9 10 11 12 12 11 11 10 10 10 10 10 11 12 12 12 12 12 12 13 16 20 23 24 23 20 16 12 9 7 7 7 7 7 6 6 7 7 7 7 8 9 10 10 10 9 8 8 8 8 6 5 5 6 8 10 11 12 12 12 12 11 11 10 10 10 nan
nan 14 13 12 13 13 13 13 14 14 13 12 11 10 8 8 8 9 10 10 10 9 9 8 9 9 10 9 9 8 7 6 6 8 10 11 14 15 12 10 8 8 8 8 8 8 9 10 11 11 11 11 10 9 9 9 9 10 10 11 12 13 14 14 16 19 23 25 25 22 19 16 13 11 9 8 8 7 7 6 6 6 6 6 6 6 7 8 8 9 8 7 7 6 6 6 5 5 6 8 10 11 11 11 11 11 11 11 10 10 10 10 nan
nan 12 12 11 11 11 11 12 14 15 15 14 13 12 11 10 10 10 10 10 10 10 9 9 9 9 10 9 9 8 6 5 6 7 8 10 13 13 11 9 8 7 8 9 8 8 9 10 11 11 11 10 9 9 9 9 9 10 10 11 13 15 17 18 21 24 25 23 19 15 11 10 10 10 9 8 8 8 7 7 6 6 6 6 6 6 7 7 8 7 7 6 6 7 7 7 6 6 7 8 10 10 10 10 10 11 11 10 10 10 10 9 nan
nan 12 12 11 9 7 8 10 13 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 8 7 5 5 6 8 8 8 9 9 9 10 9 9 9 9 8 8 9 10 10 11 11 10 9 9 9 9 9 10 11 12 15 17 20 23 26 26 24 19 14 10 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 6 6 7 7 7 8 8 8 9 9 9 10 10 9 10 10 10 10 10 9 9 9 nan
nan 11 11 10 8 7 8 10 11 11 10 9 10 11 12 12 13 13 13 13 13 13 12 12 12 11 10 9 6 5 4 5 7 8 7 6 6 6 10 11 11 11 10 8 7 7 8 9 10 11 11 11 11 10 9 9 10 10 12 14 16 18 20 24 25 22 18 14 10 9 9 9 9 9 8 8 7 7 8 8 7 7 6 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 nan
nan 11 11 10 9 10 11 11 10 9 7 7 8 8 10 11 13 13 14 14 13 13 13 12 11 11 9 7 5 4 4 5 7 7 6 5 5 7 11 13 13 12 10 7 6 7 7 8 10 11 11 12 11 10 10 10 10 11 13 15 16 16 17 16 15 12 10 9 8 9 9 9 8 8 8 7 7 7 7 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 nan
nan 10 11 11 12 13 13 12 10 9 9 9 9 9 11 12 14 14 14 14 13 13 13 13 11 10 8 6 4 4 4 6 7 7 6 5 5 9 13 14 13 11 8 6 6 6 5 7 9 9 10 11 11 10 10 10 11 12 13 14 14 13 11 7 4 3 6 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 nan
nan 10 11 13 14 14 14 11 9 9 11 13 13 13 14 15 15 16 15 13 13 14 14 14 12 10 8 6 4 4 6 8 9 9 8 6 7 10 13 14 13 10 7 6 6 5 4 6 7 8 10 11 10 10 10 10 11 12 12 12 12 10 7 4 4 7 10 10 10 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 9 10 nan
nan 10 12 13 14 14 12 10 9 11 14 16 17 17 17 17 16 16 15 13 13 15 15 14 12 10 7 6 6 7 9 11 11 10 9 8 10 12 13 14 13 10 9 8 7 5 5 5 6 8 11 11 10 10 9 9 10 11 11 11 11 10 8 9 12 16 16 15 12 10 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 8 8 9 9 10 nan
nan 11 12 13 13 13 12 11 12 14 16 19 19 19 18 17 16 15 14 14 15 16 16 14 12 10 8 8 9 11 12 11 10 10 10 11 12 14 15 16 14 13 12 10 7 6 6 5 6 10 12 11 11 10 9 9 10 11 12 12 12 12 12 14 17 18 17 15 12 9 9 9 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 9 9 9 nan
nan 11 12 13 13 13 13 13 15 16 18 20 21 21 20 18 16 15 14 15 16 17 17 16 15 13 11 11 11 11 10 9 8 8 9 11 12 14 14 15 15 15 13 11 8 7 7 6 8 11 12 12 11 9 8 9 9 11 12 13 13 13 14 15 15 14 12 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 9 9 nan
nan 12 13 13 14 14 15 16 17 19 20 22 23 23 22 19 18 16 16 16 18 19 20 19 18 15 13 11 10 8 7 7 6 7 7 8 10 10 11 13 15 16 15 12 9 8 7 7 10 11 11 12 10 8 8 7 8 10 11 12 13 13 13 13 11 9 9 9 9 10 11 10 10 10 10 10 10 10 11 11 12 12 11 10 10 10 9 9 8 8 8 8 9 9 10 10 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 9 nan
nan 13 13 13 14 15 17 19 20 21 23 25 27 28 26 23 21 19 18 18 19 20 20 19 17 14 11 9 7 6 6 6 6 6 6 6 7 8 9 12 15 17 17 14 11 9 7 8 9 10 11 11 9 8 7 7 9 10 11 11 12 12 12 11 10 9 8 8 9 10 10 10 11 11 11 11 12 13 14 15 15 14 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 nan
nan 13 12 12 13 14 16 18 19 20 23 27 31 33 32 30 26 21 20 19 19 18 17 16 13 11 8 7 5 5 5 5 5 6 6 6 6 7 8 11 15 17 17 15 12 9 8 8 9 9 10 10 10 9 8 8 9 10 10 10 10 10 11 11 10 10 8 7 8 10 10 11 12 12 11 12 13 15 16 16 15 15 14 14 13 13 13 12 12 11 11 11 11 11 10 10 10 9 9 9 8 8 9 9 9 9 9 9 8 7 7 7 nan
nan 12 11 12 12 13 14 15 15 15 18 23 30 35 36 35 32 27 24 21 19 17 15 13 11 10 8 6 5 5 5 5 5 6 6 6 6 7 8 11 14 16 17 15 13 10 8 8 8 9 10 10 10 10 9 9 10 10 10 10 9 9 10 11 11 10 8 7 8 10 11 12 13 12 12 13 14 15 15 15 15 14 14 14 13 13 13 12 12 12 11 11 11 10 10 9 9 9 9 8 8 9 9 9 9 8 8 6 4 1 0 1 nan
nan 9 9 10 11 11 11 11 11 11 13 17 23 29 33 37 38 36 31 25 19 15 13 12 11 10 8 7 6 6 5 5 5 5 6 6 7 8 9 10 12 15 15 15 13 10 8 8 8 10 10 11 11 10 9 9 10 10 11 10 9 9 10 10 11 10 9 8 9 9 11 13 13 12 13 14 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 10 10 9 9 9 8 8 8 9 8 8 8 7 6 3 0 -3 -6 -8 -7 nan
nan 6 7 8 9 9 9 9 9 9 10 13 17 22 28 35 40 39 35 27 19 14 12 11 10 10 8 8 7 6 5 5 5 6 6 7 8 8 9 9 11 13 13 13 12 10 9 8 9 10 11 11 10 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 8 7 8 8 9 9 10 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 7 7 6 4 0 -4 -7 -8 -7 -6 -5 nan
nan 3 4 5 7 7 8 8 7 6 5 7 13 18 24 31 37 37 34 27 20 15 12 11 11 11 11 10 9 7 5 5 6 7 8 8 8 8 8 9 10 11 12 13 13 11 10 10 11 11 11 11 10 9 9 9 10 11 11 10 10 10 10 9 9 9 9 8 6 4 2 -1 -1 -0 3 6 8 9 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 6 5 3 -1 -5 -7 -7 -4 -1 2 4 nan
nan -0 2 4 5 6 7 7 6 2 -1 1 7 14 21 27 31 33 31 26 20 16 13 13 14 15 14 13 10 8 7 7 7 8 8 9 8 7 6 7 7 8 10 13 12 12 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 7 5 3 -1 -5 -7 -6 -3 -1 -1 0 3 7 9 10 10 10 9 9 10 10 10 10 9 9 9 8 8 7 7 7 7 6 6 5 4 1 -2 -4 -4 -1 2 6 8 9 nan
nan 1 2 4 6 7 7 7 6 1 -4 -3 2 9 16 23 27 27 25 23 21 19 17 17 18 18 18 15 11 10 9 8 8 7 8 8 7 6 5 5 5 6 10 12 12 12 11 11 11 11 10 9 8 8 8 8 8 7 7 7 8 8 9 10 11 10 9 8 7 5 1 -1 -2 -2 -3 -4 -5 -5 -3 2 6 9 10 10 10 9 9 9 10 10 9 9 8 8 8 7 7 7 6 6 6 5 4 3 1 1 2 5 7 9 9 9 nan
nan 5 6 7 9 9 8 8 7 2 -2 -3 -1 5 13 19 21 21 19 20 21 21 21 20 20 20 19 16 14 12 11 9 7 7 6 6 5 4 4 4 4 7 11 12 13 13 11 11 11 10 9 8 8 7 7 7 7 6 5 5 6 7 8 10 11 11 10 10 9 7 6 6 5 5 3 1 -1 -1 -0 1 3 5 6 7 8 7 7 7 8 9 9 8 8 8 8 8 8 7 7 7 7 7 6 5 4 4 5 7 9 9 9 9 nan
nan 9 9 9 9 10 10 10 9 6 3 1 2 6 11 15 17 16 15 17 20 22 22 21 21 21 19 17 15 14 11 9 8 7 7 6 5 5 5 5 6 9 11 13 16 14 12 11 10 9 8 8 8 8 8 7 7 6 6 5 5 6 8 10 10 11 11 10 9 9 9 9 9 8 7 6 6 5 4 1 0 -1 -2 -2 -2 -2 -1 1 4 7 8 8 9 8 8 8 9 9 9 9 9 9 8 7 6 6 7 8 9 9 10 10 nan
nan 10 10 9 9 9 10 11 10 8 6 5 6 8 11 13 13 13 14 16 19 19 19 21 22 22 20 18 16 14 12 11 11 10 9 8 7 8 8 8 9 10 12 14 16 14 12 10 8 8 8 8 9 10 10 10 9 9 8 7 7 7 8 9 9 10 10 9 9 10 10 11 10 10 10 9 9 8 6 2 -2 -6 -10 -12 -13 -10 -8 -4 -0 3 4 5 6 7 8 9 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 10 nan
nan 11 11 9 8 8 10 11 10 9 8 7 8 9 10 10 10 10 13 15 17 17 18 20 23 24 22 20 17 14 13 13 12 12 10 9 9 9 9 10 11 11 13 15 15 13 11 9 8 9 10 10 10 11 12 12 12 11 10 9 8 8 9 8 8 9 9 9 9 10 11 11 11 11 11 11 10 9 7 4 -0 -5 -9 -10 -9 -7 -5 -3 -4 -5 -5 -4 -2 1 4 7 9 10 11 11 12 12 13 13 14 14 15 14 13 11 10 9 nan
nan 11 10 9 8 8 9 11 10 10 9 8 9 9 9 8 7 8 10 13 14 14 16 19 22 24 24 23 20 16 14 13 12 11 10 9 9 9 9 11 12 12 15 16 15 13 11 9 10 11 11 11 11 11 12 13 13 12 11 10 9 8 8 7 8 8 8 8 9 10 10 11 12 12 12 12 11 10 9 7 4 2 1 2 3 3 2 0 -4 -8 -10 -10 -8 -6 -4 -0 3 6 9 10 11 12 13 14 15 17 18 18 16 13 11 10 nan
nan 10 10 9 9 9 9 10 10 10 10 10 9 9 7 6 5 6 8 11 13 14 15 16 18 21 24 24 21 18 15 13 12 11 11 10 9 9 10 11 11 15 18 18 17 15 12 12 12 12 11 11 10 11 12 12 12 12 11 10 9 8 8 8 8 8 8 8 9 9 10 11 12 13 12 12 11 10 9 9 8 8 8 9 8 8 7 4 1 -1 -3 -4 -5 -6 -7 -7 -4 -1 3 7 9 11 12 13 14 16 18 20 19 17 15 13 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 9 7 5 4 5 7 10 13 15 15 15 16 19 22 22 20 19 17 16 16 16 16 15 13 12 11 11 12 16 18 19 20 19 15 14 13 12 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 9 9 9 9 10 10 12 13 13 13 13 11 10 10 9 9 9 9 9 9 9 9 8 7 7 6 5 3 0 -3 -5 -6 -5 -1 3 7 9 10 11 12 13 16 18 21 21 20 18 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 8 7 5 4 5 7 10 12 12 13 14 17 19 21 20 18 18 18 19 19 20 20 19 17 15 13 12 13 16 18 21 22 20 18 15 13 11 11 11 11 12 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 10 11 11 12 13 13 13 11 11 10 9 9 9 9 9 9 9 9 9 9 10 9 9 8 7 5 2 0 1 2 4 4 5 5 7 8 10 12 15 18 20 22 21 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 9 7 5 5 7 9 10 10 8 9 11 14 18 20 18 17 16 17 18 19 20 19 18 17 16 14 13 15 16 18 21 22 19 17 14 12 11 12 12 12 12 12 11 10 10 9 10 10 10 9 9 9 8 8 8 9 9 10 11 11 12 12 12 11 11 10 10 10 9 10 10 9 9 9 9 9 9 10 10 10 9 9 8 7 6 4 0 -2 -3 -2 -1 2 4 6 9 12 15 17 18 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 9 8 6 5 7 9 9 9 7 6 8 10 13 15 15 15 14 14 15 17 18 18 17 16 16 15 15 16 16 18 21 20 19 17 14 12 12 12 12 13 13 12 12 11 10 10 10 9 8 8 7 7 7 8 8 9 10 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 6 1 -5 -8 -8 -6 -6 -4 -2 0 3 5 7 9 12 nan
nan 9 9 9 9 9 9 8 8 9 9 9 9 9 8 6 6 7 8 9 9 7 7 7 8 9 10 10 11 11 12 13 14 15 16 16 17 16 16 15 15 15 17 19 19 20 19 17 15 14 12 11 12 12 12 12 11 10 10 9 7 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 8 5 1 -1 -2 -2 -2 -2 -3 -3 -4 -3 -2 0 3 5 nan
nan 10 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 8 7 7 8 8 8 8 8 8 9 10 11 12 14 15 16 16 16 15 14 14 15 17 19 20 21 19 18 15 12 11 11 11 12 12 12 11 10 8 7 7 8 9 9 9 10 10 10 10 10 9 9 9 9 8 8 9 9 9 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 9 8 7 6 6 7 7 6 5 4 2 -1 -2 -2 -1 -1 -0 nan
nan 10 10 10 10 9 9 9 8 8 8 7 7 8 9 10 11 12 13 12 10 9 7 7 7 7 8 8 8 7 7 7 8 9 10 12 14 15 16 15 14 14 14 15 17 19 20 20 19 16 14 13 12 11 11 11 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 10 11 11 11 11 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 6 5 4 3 1 -0 nan
nan 11 10 10 10 10 9 9 8 7 7 7 8 9 11 13 14 15 15 13 11 9 8 7 6 6 7 8 9 8 7 6 5 5 6 8 11 13 15 15 15 15 15 16 16 17 18 19 19 19 18 16 14 12 11 10 9 11 12 13 14 14 13 12 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 10 10 10 11 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 8 7 5 nan
nan 12 12 11 10 10 10 9 8 7 7 8 10 12 13 14 15 14 13 12 11 10 9 8 7 6 6 8 8 9 7 5 3 3 3 4 6 9 11 13 14 15 16 16 17 17 17 18 19 19 19 18 16 14 13 13 13 14 14 15 15 15 14 13 12 12 11 10 9 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 11 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 14 14 13 12 11 10 10 9 8 9 10 12 13 13 13 12 12 11 11 11 11 10 10 9 8 7 8 9 9 8 6 5 4 3 2 3 4 6 8 11 14 15 16 17 17 17 18 18 17 17 16 16 17 17 17 16 16 15 15 15 15 14 13 12 12 11 10 9 8 7 8 9 9 10 10 10 9 9 8 8 8 8 9 10 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 15 15 15 14 13 12 10 10 10 10 11 12 12 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 8 7 6 5 4 3 3 5 8 11 13 14 15 17 18 18 18 17 16 16 17 18 18 17 16 15 14 14 14 13 13 12 12 11 11 9 8 8 8 9 9 10 11 11 10 9 8 7 7 8 8 9 11 11 11 10 10 9 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 10 9 9 10 10 nan
nan 15 16 16 16 15 14 12 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 8 7 5 3 4 5 8 10 12 13 15 17 18 18 18 17 17 17 17 15 14 14 13 12 13 13 12 11 12 11 11 10 10 9 9 9 9 10 10 10 10 10 9 7 7 8 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 10 9 9 9 9 9 9 9 9 nan
nan 13 14 15 16 16 15 14 13 12 12 12 11 11 11 11 12 12 11 11 11 11 10 10 10 10 11 11 12 11 11 11 10 9 9 9 8 6 5 4 5 6 8 9 10 12 14 16 17 17 17 17 16 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 nan
nan 11 12 13 15 15 15 15 15 14 14 13 12 12 12 12 12 13 13 14 13 12 11 10 10 10 10 11 12 12 11 11 10 9 9 9 9 8 7 5 5 5 6 6 7 9 12 13 15 16 17 17 16 14 13 12 11 11 11 12 11 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 12 12 12 12 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 11 13 14 14 15 15 15 15 14 14 13 12 12 12 13 15 15 16 15 13 11 10 9 9 10 11 12 12 11 10 9 9 9 9 9 8 8 7 6 6 5 5 7 9 10 11 12 15 18 18 17 16 14 13 12 12 12 12 12 13 13 12 12 12 11 11 10 10 9 9 9 9 10 10 11 12 12 12 12 11 11 10 9 9 9 9 10 10 9 10 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 nan
nan 10 10 10 11 12 13 13 14 15 16 16 15 14 13 12 12 13 14 16 17 17 16 14 12 11 10 9 10 10 11 10 10 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 8 9 12 16 19 20 19 17 15 14 14 13 13 13 14 13 13 12 11 11 10 10 10 9 10 10 10 10 10 11 11 11 12 11 11 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 11 11 12 12 13 14 15 15 14 13 12 12 13 14 15 16 17 17 16 15 13 12 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 8 8 7 7 7 7 6 6 7 10 13 17 18 17 17 16 15 14 13 13 13 14 13 12 11 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 9 9 8 8 9 9 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 13 14 15 15 16 16 15 14 13 12 11 10 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 7 6 5 5 5 6 9 11 12 13 13 13 13 12 12 12 14 14 14 12 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 9 9 10 11 12 12 12 11 10 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 15 15 14 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 5 4 4 5 5 6 6 7 8 8 9 10 11 14 15 14 12 11 10 10 10 11 11 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 11 12 13 13 12 10 10 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 12 13 14 14 13 13 12 12 11 11 10 11 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 6 5 4 3 3 3 3 4 4 5 6 7 11 15 15 15 14 12 12 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 10 11 12 13 13 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 9 9 8 8 8 7 7 6 5 4 4 3 3 3 3 3 4 8 11 13 16 18 17 16 15 13 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 11 10 10 10 11 10 11 11 10 11 11 11 11 11 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
CAPE
1 0 0 3 7 11 14 36 92 176 273 362 342 326 311 298 284 262 248 251 271 307 353 366 306 245 217 222 247 249 234 210 184 158 138 155 183 202 207 213 205 234 261 247 250 251 233 209 184 161 97 54 26 19 31 63 107 156 252 385 463 432 552 616 588 562 716 608 551 560 529 395 476 489 466 454 451 396 337 276 232 236 208 189 180 178 184 197 225 270 321 368 412 473 536 603 666 723 730 684 601 499 402 317 233 157 100 64 46 35 26 20 14
0 0 0 1 3 8 12 24 58 122 220 330 342 335 320 298 282 265 266 286 322 370 422 381 300 235 210 224 251 254 239 216 190 161 134 128 140 162 194 216 237 251 232 141 186 209 198 181 194 187 152 105 57 22 16 29 61 120 195 255 395 395 409 489 602 436 563 594 515 441 540 433 413 430 431 402 385 331 266 212 183 200 199 194 189 191 196 215 250 294 336 372 413 467 540 625 666 677 633 552 450 351 273 197 125 64 37 32 26 20 15 12 10
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46 41 39 40 44 42 43 44 38 23 28 83 165 238 279 315 341 334 280 190 124 89 77 81 89 95 93 78 54 40 32 25 17 11 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 34 66 98 116 113 96 71 42 20 8 2 1 0 2 7 18 36 54 66 70 68 54 33 20 11 9 10 6 11 11 9 7 8 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 10 12 14 15 15 11 7 8 9 9 5
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