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 8 6 5 6 9 10 8 6 6 7 9 10 11 11 10 9 8 8 8 8 10 13 14 13 12 10 8 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 6 5 4 5 8 15 21 24 25 25 23 22 21 20 19 19 18 18 19 20 21 21 20 19 16 13 11 11 12 15 17 19 19 16 13 11 9 9 10 10 9 9 9 8 8 8 8 9 9 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 5 7 9 9 8 6 6 8 10 11 12 11 10 9 9 9 10 11 13 14 14 13 12 11 9 8 7 7 6 7 8 9 9 9 8 8 7 7 6 7 7 6 5 4 4 8 14 19 23 24 23 22 21 20 19 18 17 16 16 17 19 21 21 21 21 19 16 13 11 11 12 14 17 17 15 13 9 6 7 9 9 10 10 9 8 8 8 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 nan
nan 9 8 6 7 9 9 9 7 7 9 11 12 12 12 11 11 11 12 12 14 15 14 14 13 13 12 10 9 8 6 6 6 7 8 9 9 9 9 8 6 6 6 6 6 6 5 4 7 13 17 20 21 20 19 19 19 19 18 16 15 14 15 17 18 19 20 21 19 17 15 13 12 11 12 14 14 14 14 10 7 7 7 8 10 9 9 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 nan
nan 9 8 7 8 9 10 9 8 9 11 12 13 13 13 12 13 13 14 16 17 17 16 14 14 14 13 11 10 9 7 6 6 6 7 7 8 9 8 7 6 6 6 6 7 7 6 6 7 11 15 19 19 17 16 16 17 18 18 17 16 14 13 14 15 16 18 18 18 17 16 14 13 12 11 11 12 14 15 13 12 10 7 7 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 10 nan
nan 9 9 9 9 10 11 10 10 12 13 13 13 12 12 13 13 14 16 18 18 17 16 15 15 15 14 13 11 9 8 7 7 6 6 6 7 6 5 6 7 7 7 7 8 9 8 8 8 9 14 18 18 16 14 13 14 15 16 17 16 14 12 11 12 13 15 16 16 16 16 15 14 13 12 11 11 14 15 16 16 13 8 8 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 10 10 nan
nan 10 10 10 10 11 11 11 12 13 13 13 12 11 12 13 14 16 17 18 18 17 16 16 16 16 15 14 12 11 10 8 7 6 6 6 5 3 4 7 9 9 9 10 11 11 11 10 9 10 13 16 17 17 14 12 11 12 13 14 15 13 12 11 10 10 12 13 15 15 16 16 16 15 14 13 12 13 14 15 16 13 11 9 7 6 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 nan
nan 11 10 10 10 10 11 12 12 11 10 10 11 11 12 14 15 17 17 17 17 16 16 16 16 15 15 14 13 11 10 9 7 7 7 6 5 6 9 12 14 14 14 14 14 13 13 12 10 11 13 15 16 17 15 13 12 10 10 12 12 12 11 10 8 9 10 11 13 14 15 16 17 17 17 15 15 14 14 15 14 13 12 10 7 7 7 7 7 8 8 9 10 10 9 9 9 9 9 8 8 9 9 9 9 9 10 10 11 11 10 10 nan
nan 10 10 10 10 11 12 12 11 9 7 8 10 12 13 14 15 16 16 16 16 16 16 16 16 15 15 14 12 11 10 9 8 7 8 9 10 13 17 19 20 21 19 18 16 15 14 13 12 12 12 13 15 17 16 15 13 11 10 10 10 10 10 9 8 7 7 9 11 13 15 16 17 18 18 18 17 17 16 16 14 13 12 9 7 8 7 7 8 8 8 9 10 10 10 9 9 10 9 8 8 9 10 10 10 10 10 10 11 11 10 10 nan
nan 9 9 9 10 11 11 11 10 8 6 7 10 13 14 13 14 14 14 14 14 14 15 17 18 18 16 14 13 11 11 9 8 8 9 11 14 18 20 22 22 22 20 18 16 15 13 12 12 11 11 12 15 16 16 15 14 12 11 11 10 10 10 8 8 7 6 7 9 11 13 15 17 18 19 19 19 19 19 18 17 15 13 10 10 9 7 8 8 8 8 9 10 10 10 9 9 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 nan
nan 8 8 8 9 10 11 10 9 6 5 7 11 13 13 12 12 13 12 12 11 12 14 17 19 19 17 16 14 12 10 9 9 8 9 11 13 15 17 18 17 16 14 13 12 11 10 10 9 8 9 11 14 16 16 15 13 12 12 12 11 11 10 9 9 7 6 6 7 8 10 13 15 16 18 19 19 20 20 20 20 18 16 14 12 10 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 nan
nan 8 8 9 9 10 10 9 8 5 5 8 12 14 13 12 11 12 11 11 10 10 12 14 16 17 17 17 15 13 11 9 8 8 8 10 11 12 13 13 13 12 11 8 7 6 6 5 4 3 5 9 14 16 16 14 13 12 12 12 12 12 11 11 10 9 8 7 7 7 9 10 12 14 16 17 18 18 19 19 20 20 18 17 15 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 11 11 11 nan
nan 9 9 10 10 10 10 8 7 6 7 11 13 13 12 11 11 11 11 10 10 10 10 11 12 13 14 15 14 13 11 10 9 8 9 9 10 11 12 13 14 14 13 10 7 5 5 4 2 2 4 8 11 14 13 13 12 12 12 12 12 12 12 12 12 11 10 9 8 7 8 9 10 12 14 15 16 17 17 18 18 18 18 17 15 13 12 11 10 9 9 9 10 10 9 9 9 9 9 9 9 9 10 11 11 11 12 12 12 12 11 11 nan
nan 9 9 10 10 10 9 8 8 8 10 11 12 12 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 9 10 12 14 15 17 17 15 12 10 8 8 6 6 8 9 11 11 12 12 13 12 11 11 12 12 13 13 12 12 11 10 9 9 8 9 9 10 12 14 15 16 16 16 16 16 16 16 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 11 nan
nan 9 10 10 10 10 9 8 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 9 9 10 12 14 15 16 15 15 13 13 13 13 13 14 14 13 12 13 14 15 14 13 12 12 12 13 13 12 11 10 10 10 10 9 9 9 9 10 12 14 15 16 16 16 16 16 15 14 14 14 13 13 12 11 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 12 12 11 11 nan
nan 9 10 10 11 10 9 9 9 10 10 9 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 9 11 13 13 12 10 9 9 9 10 11 12 13 13 13 13 13 14 15 16 16 15 14 14 15 15 16 16 15 14 13 13 13 12 10 8 8 10 11 10 9 8 8 8 9 10 12 14 15 16 16 17 17 16 15 14 14 14 14 13 12 11 9 9 8 8 8 8 9 9 9 9 10 11 11 12 12 13 12 12 11 11 nan
nan 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 8 8 9 11 14 16 17 16 13 10 9 8 8 9 10 11 11 10 10 11 12 13 13 13 12 12 13 14 15 15 16 16 16 15 14 13 11 9 7 8 11 12 12 9 8 7 7 8 9 10 12 14 15 16 17 17 17 16 16 15 15 15 15 14 13 12 10 9 9 8 8 8 9 9 9 10 10 11 12 12 13 12 12 11 11 nan
nan 9 9 10 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 11 13 16 18 19 18 16 11 9 8 7 8 9 10 9 9 9 10 11 11 11 10 10 10 11 12 13 13 14 14 15 15 14 13 12 10 8 9 11 12 11 9 7 7 7 7 7 8 9 11 13 14 15 16 17 17 17 17 17 17 16 16 15 14 12 11 10 9 9 8 8 9 9 9 10 11 11 12 13 13 12 12 11 nan
nan 9 9 9 9 8 7 7 7 7 7 7 7 8 9 9 8 8 8 9 9 10 10 10 10 10 10 10 11 12 14 17 18 20 20 17 13 10 8 7 8 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 12 13 13 13 12 12 11 9 9 9 10 9 8 8 8 8 7 7 6 7 9 10 11 13 14 15 17 17 18 18 17 17 16 15 14 12 11 10 10 9 8 8 8 8 9 9 10 10 11 12 12 12 12 12 nan
nan 8 8 8 7 7 6 6 6 7 7 7 8 10 11 10 8 8 8 9 9 9 10 10 10 10 11 11 12 13 15 16 18 20 20 17 15 13 10 8 8 9 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 11 10 9 9 9 9 10 11 12 12 10 7 6 6 7 8 9 10 12 13 14 16 17 18 17 17 16 14 13 12 11 10 9 9 9 8 8 8 8 8 9 10 10 11 12 12 12 12 nan
nan 8 7 6 6 6 6 6 7 7 8 9 11 13 12 10 8 7 8 9 9 9 9 9 10 10 11 11 12 13 14 15 17 18 18 17 16 14 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 9 9 10 10 11 11 11 11 11 11 11 10 11 11 12 12 13 15 15 12 9 6 6 6 7 8 9 10 11 12 14 15 16 16 16 15 14 13 12 11 10 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 11 nan
nan 6 5 5 6 7 8 8 8 9 11 12 13 13 11 8 7 8 8 9 9 9 9 9 9 10 10 10 11 12 12 13 14 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 9 9 9 10 10 10 11 11 11 11 11 12 13 14 14 14 13 13 15 15 13 10 7 6 6 6 7 8 9 10 11 12 13 14 15 15 14 14 14 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 nan
nan 6 7 8 9 9 9 9 11 12 13 13 12 11 9 7 7 8 8 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 12 12 11 11 11 11 10 10 10 10 10 10 9 10 10 10 9 9 9 9 10 11 11 11 11 11 13 15 16 16 15 13 12 13 13 12 10 8 7 7 7 7 8 9 9 10 11 12 12 13 13 13 14 14 14 14 14 13 12 11 11 11 10 10 9 9 8 8 9 9 10 10 10 nan
nan 9 10 10 10 9 9 10 12 13 12 10 9 9 8 8 8 8 9 9 8 7 7 8 8 7 7 7 7 8 9 9 8 7 5 4 3 4 5 8 12 13 13 12 12 11 11 10 10 10 9 10 10 10 10 9 9 9 9 9 10 11 11 11 12 14 16 17 17 14 12 11 11 12 12 10 9 8 7 7 8 8 9 10 10 11 11 12 12 12 12 13 13 14 15 15 14 14 13 12 11 11 10 9 9 9 9 9 9 9 10 10 nan
nan 10 10 9 8 6 7 9 10 10 8 7 7 8 8 8 8 8 8 8 8 8 8 9 8 7 7 8 9 9 9 9 7 5 3 0 -2 -2 -1 4 10 14 15 14 13 12 12 11 10 9 9 10 10 10 10 9 9 9 9 9 10 11 12 13 14 16 17 17 15 13 11 10 10 11 11 11 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 10 10 nan
nan 8 8 7 6 7 8 10 10 9 7 7 7 7 7 7 7 7 7 8 9 10 11 10 9 9 9 10 11 11 10 9 7 5 2 -1 -3 -5 -3 2 9 14 16 16 14 13 12 11 10 9 10 10 9 9 9 9 10 10 9 9 10 10 12 14 15 16 16 15 14 12 10 9 9 10 11 11 10 9 8 8 9 9 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 nan
nan 8 8 8 9 11 11 12 11 9 8 8 9 9 8 7 7 6 7 10 11 12 11 9 8 8 9 10 10 10 10 8 6 3 1 -1 -2 -3 -2 2 8 13 16 16 14 13 12 11 10 10 11 10 9 9 9 9 10 10 10 10 10 10 12 13 14 14 15 14 13 12 10 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 12 12 12 11 11 10 9 9 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 nan
nan 9 10 11 12 13 12 11 9 9 9 10 10 10 9 9 8 8 10 11 12 10 8 7 7 8 8 8 9 8 8 6 4 2 2 2 1 1 2 4 8 11 13 13 12 12 11 10 10 11 11 10 9 9 9 9 10 11 11 11 11 11 11 11 11 13 14 15 14 12 10 10 9 10 10 10 10 10 10 9 9 9 10 10 10 10 11 12 12 12 12 12 11 10 10 9 9 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 nan
nan 10 11 12 12 12 10 9 8 9 10 11 11 10 10 10 9 9 10 10 9 7 6 7 8 9 9 9 8 7 6 4 4 4 5 6 6 6 7 8 10 10 10 10 10 11 11 10 10 11 11 10 10 9 9 10 10 11 12 12 11 11 10 10 11 13 15 16 15 12 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 11 10 10 9 9 9 nan
nan 11 11 11 11 10 9 8 9 10 11 11 11 11 11 10 10 10 10 9 7 6 7 8 9 10 10 10 8 7 6 6 7 8 9 10 10 10 12 13 12 11 9 9 10 11 10 10 10 11 11 11 11 10 10 10 11 12 12 12 12 12 11 10 12 14 16 17 15 12 11 10 9 9 10 10 10 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 9 nan
nan 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 9 9 9 10 10 10 10 10 10 10 10 12 13 14 15 14 14 14 15 15 13 12 9 9 9 10 10 11 11 11 12 13 12 11 10 10 11 12 13 13 13 12 11 12 13 15 17 17 15 13 11 10 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 nan
nan 11 10 10 9 8 8 8 9 10 10 11 12 12 13 13 14 14 14 14 14 13 13 12 12 12 12 12 13 13 14 15 16 17 18 17 16 15 15 15 15 13 10 8 8 9 10 11 11 12 13 14 13 12 11 10 10 11 12 13 13 12 11 12 13 16 18 18 16 14 12 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 11 12 12 12 12 nan
nan 9 7 5 4 4 5 6 7 8 8 9 10 12 13 14 15 16 16 15 15 15 15 15 14 14 14 14 14 14 14 14 15 15 16 16 15 15 15 16 16 14 11 8 7 8 9 10 10 12 13 14 13 12 11 9 9 10 11 12 12 11 11 11 13 16 19 19 18 16 14 11 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 13 13 13 12 12 12 12 12 11 11 12 12 12 12 13 nan
nan 5 3 3 3 4 6 8 9 8 7 8 9 11 12 13 13 14 14 14 14 15 15 15 15 15 14 14 13 13 13 12 13 14 14 14 13 14 16 17 18 16 12 8 6 6 7 9 10 11 12 13 12 11 10 9 9 10 10 11 10 10 10 10 12 15 17 19 20 18 16 14 12 11 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 13 nan
nan 6 5 6 8 9 11 12 11 11 10 10 11 12 12 11 10 10 12 13 14 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 14 16 18 18 17 14 10 7 7 7 8 9 10 11 11 11 10 9 9 9 9 10 10 9 9 9 9 11 13 15 18 20 21 19 17 15 13 12 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 13 14 15 15 16 17 18 18 18 17 16 16 14 nan
nan 9 10 11 12 12 13 13 13 13 13 13 14 13 12 11 11 13 15 15 14 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 13 14 16 17 17 14 12 10 8 8 8 9 10 10 10 10 9 8 8 8 9 10 10 9 9 9 10 10 11 12 16 20 21 22 21 19 16 15 14 14 14 14 14 14 15 15 15 15 14 13 13 12 12 12 12 12 12 12 13 13 14 14 15 17 18 20 21 22 23 21 19 15 14 13 13 nan
nan 10 11 11 12 12 12 12 13 14 14 14 14 14 14 14 16 19 19 17 15 13 12 12 12 12 12 12 12 11 11 10 10 10 11 10 11 11 12 14 15 15 14 13 11 10 10 10 10 10 10 10 9 8 8 8 9 10 10 10 9 9 10 10 10 10 12 15 17 20 22 23 21 19 18 18 18 17 17 17 17 17 18 18 18 18 17 16 16 16 16 16 16 16 15 16 16 17 18 19 20 22 23 23 22 20 16 11 9 9 10 12 nan
nan 10 10 10 10 11 12 13 15 16 15 13 14 14 15 17 19 20 19 17 14 13 11 11 11 12 12 12 12 11 10 9 9 9 9 9 10 11 11 12 13 14 14 14 12 11 10 10 10 10 10 10 9 9 8 9 9 10 10 10 9 9 10 10 11 11 12 13 14 17 19 19 18 18 18 19 19 19 20 19 19 20 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 21 22 23 23 22 20 16 10 6 5 6 8 12 14 nan
nan 11 11 12 13 15 16 18 19 18 14 11 12 13 15 16 18 19 19 17 15 13 11 11 12 12 13 12 12 11 10 9 8 7 8 9 10 12 13 14 14 14 15 14 13 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 11 11 12 12 12 13 14 14 13 13 13 15 16 16 16 17 19 21 23 23 23 23 23 23 23 23 23 24 24 23 23 23 23 23 23 23 22 22 20 17 13 8 4 4 5 8 12 15 16 nan
nan 13 14 16 18 20 20 20 20 17 11 9 10 12 14 17 20 22 20 18 15 14 13 13 13 13 13 12 11 10 9 8 8 8 9 10 12 14 15 15 16 16 16 15 13 11 10 9 10 10 10 10 9 9 9 8 8 7 7 7 7 8 9 11 12 12 12 12 13 13 12 12 12 12 12 12 12 12 14 18 21 24 25 24 25 25 25 25 25 25 26 26 25 25 25 24 24 23 22 20 18 15 13 10 7 6 7 9 11 14 15 15 nan
nan 13 15 17 19 18 17 16 17 14 10 9 10 13 16 20 23 23 20 18 15 14 13 13 13 13 12 12 11 10 9 8 8 9 9 10 11 13 13 14 16 17 16 15 13 10 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 9 10 11 12 12 12 13 12 12 13 13 13 13 13 12 12 14 16 20 23 24 24 25 24 24 24 24 26 27 26 26 25 25 23 22 21 19 16 14 12 11 10 8 8 9 11 12 13 14 14 nan
nan 13 14 15 15 13 13 14 14 12 11 12 13 15 19 21 22 21 18 16 14 14 13 12 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 12 15 15 14 11 10 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 11 12 12 12 12 13 13 14 14 14 14 14 14 15 15 17 18 17 17 17 17 17 18 21 25 26 25 25 24 22 21 19 17 15 13 12 11 10 9 7 8 9 10 12 12 12 12 nan
nan 14 14 14 13 13 14 14 13 13 14 14 14 15 17 18 18 17 15 14 13 13 12 11 10 10 10 10 11 10 10 10 9 9 9 8 6 5 3 4 8 10 12 12 11 10 9 10 10 10 9 9 9 9 10 10 11 11 11 10 9 8 8 8 10 11 12 12 11 12 13 13 13 14 14 14 15 15 14 13 12 10 8 6 5 7 9 12 17 20 21 21 20 19 19 18 17 14 13 12 12 11 10 9 9 9 9 10 11 11 11 11 nan
nan 14 14 13 13 13 14 13 12 13 14 14 14 14 14 15 15 14 13 13 12 12 11 10 9 9 9 9 10 11 11 11 11 10 9 8 6 3 1 2 4 6 9 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 12 11 9 9 8 9 10 11 11 11 11 12 12 13 13 14 14 14 14 14 12 11 8 6 4 3 4 5 7 10 11 11 10 10 11 12 13 15 14 13 12 12 11 11 10 10 11 10 10 10 10 10 10 10 nan
nan 13 13 12 12 12 12 11 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 9 9 10 11 11 11 11 11 10 9 8 5 3 2 2 5 8 10 11 11 11 10 10 10 10 10 9 10 10 11 11 11 11 11 10 9 9 10 11 11 11 11 11 11 11 12 13 14 14 14 13 12 11 10 9 8 7 8 9 9 9 9 6 3 0 1 2 4 5 7 10 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 12 12 11 11 11 11 11 11 12 12 12 12 13 12 12 12 12 11 11 12 12 13 14 14 13 11 10 10 11 11 11 11 10 9 9 8 7 5 4 2 4 6 9 10 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 13 13 14 13 12 11 10 10 10 10 11 11 11 11 10 8 6 3 2 1 1 -0 0 1 3 5 8 10 11 12 11 11 11 11 12 11 10 10 11 11 nan
nan 11 11 10 10 10 10 10 11 11 11 12 12 12 11 11 12 11 11 12 13 14 15 15 15 14 13 11 11 11 11 11 10 9 7 6 5 5 4 3 1 1 3 6 9 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 11 12 13 13 14 13 12 11 11 11 11 12 12 12 11 10 10 9 8 8 8 6 5 3 2 1 1 3 7 10 12 13 12 12 12 13 13 12 12 13 14 14 nan
nan 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 13 14 14 14 13 13 12 12 11 11 11 11 10 9 8 6 3 2 1 -0 -2 -5 -5 -3 1 6 10 11 12 12 11 11 11 10 9 8 9 9 10 10 10 10 10 10 10 11 11 11 10 10 11 11 12 13 13 14 13 12 12 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 8 7 5 5 7 10 12 12 12 12 12 13 14 14 14 16 17 17 16 nan
nan 11 10 9 9 9 9 9 10 10 11 11 10 10 11 11 13 13 13 13 13 13 12 12 12 11 10 10 9 9 10 9 9 9 7 5 2 -1 -3 -7 -10 -10 -7 -2 4 8 11 13 13 12 12 12 10 9 9 9 10 10 10 10 10 9 10 10 11 10 10 10 10 10 11 11 12 13 13 12 12 12 11 11 11 11 12 11 11 11 10 9 9 10 10 10 10 10 10 10 11 11 10 7 5 4 5 7 9 12 13 15 16 17 17 17 nan
nan 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 12 11 9 9 9 10 11 11 11 9 7 4 1 -2 -5 -7 -8 -6 -2 3 7 10 12 12 12 13 12 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 10 10 11 12 12 11 11 11 11 11 11 11 11 12 12 11 11 10 9 9 9 10 10 11 11 11 11 11 8 4 -1 -4 -4 -2 -0 3 6 8 10 11 12 15 18 nan
nan 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 14 15 15 14 13 12 12 12 12 12 12 12 11 10 8 6 4 2 1 -0 0 2 5 7 9 11 11 12 13 12 12 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 11 10 10 8 6 2 -1 -2 -2 -1 -1 0 -0 -0 0 2 5 9 14 nan
nan 10 10 10 10 9 9 10 11 11 11 11 11 10 10 11 12 12 13 13 14 15 16 16 17 17 16 16 16 15 14 14 14 13 13 12 12 12 11 10 9 8 8 8 9 9 10 10 10 11 12 13 13 12 12 11 11 11 10 9 8 9 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 8 7 6 6 6 6 5 5 4 1 -1 -2 -2 0 2 5 nan
nan 10 10 10 10 10 10 11 12 12 12 11 11 11 11 12 14 15 16 16 16 16 17 18 18 19 19 19 18 17 16 16 16 15 15 15 16 16 16 15 15 14 15 15 14 13 12 11 11 12 12 13 13 12 11 11 10 10 9 9 10 10 10 10 10 11 10 10 10 11 12 12 12 11 10 10 10 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 8 7 5 3 3 2 0 -1 nan
nan 10 10 10 11 11 12 12 12 12 12 12 12 13 14 15 16 16 16 16 16 16 17 18 19 20 20 21 20 20 20 19 19 19 19 19 19 19 19 19 19 19 19 19 18 16 15 13 14 14 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 8 7 4 2 nan
nan 10 11 11 12 12 13 13 13 13 13 13 14 16 17 17 16 15 14 13 13 14 15 16 18 19 20 21 22 22 23 22 22 21 21 21 20 20 19 19 20 20 19 18 17 16 15 15 15 15 15 14 14 12 11 11 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 6 nan
nan 11 11 12 13 13 13 13 14 14 14 15 16 17 16 15 14 12 11 11 11 12 13 14 15 16 18 19 21 22 23 22 21 21 20 19 19 19 18 18 18 17 17 16 16 15 15 16 16 16 15 15 14 13 13 11 10 11 12 12 13 13 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 8 nan
nan 12 12 13 14 13 13 13 13 14 14 15 15 15 14 13 12 11 11 11 11 12 12 13 13 13 15 16 18 20 20 19 18 18 16 16 16 16 16 16 16 16 16 15 15 15 15 16 16 16 16 16 15 14 13 11 11 12 12 13 13 13 12 12 12 11 11 10 10 9 9 10 10 11 11 12 11 11 10 9 9 9 10 11 13 12 12 11 10 10 10 10 9 9 10 10 10 9 10 10 10 11 11 10 10 9 9 10 10 10 9 8 nan
nan 12 13 14 13 13 13 13 13 13 13 14 14 14 13 12 11 11 11 11 12 12 13 13 13 13 13 14 16 18 18 17 16 15 14 14 14 13 14 14 15 15 16 16 16 16 17 17 16 17 17 16 16 15 13 11 12 12 12 13 13 12 13 13 12 12 11 10 10 10 10 10 10 11 12 12 11 10 8 7 8 9 10 11 12 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 11 10 9 9 9 10 10 10 10 10 9 nan
nan 13 13 13 13 13 12 12 12 12 13 13 13 13 12 12 11 11 11 12 13 13 13 13 13 13 13 14 16 17 17 17 16 14 13 13 12 12 12 13 13 14 15 15 16 17 17 17 16 16 17 17 16 14 12 11 12 12 12 12 12 12 12 13 12 12 11 10 10 10 10 10 10 11 11 11 10 9 8 8 9 10 11 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 nan
nan 13 13 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 12 13 13 13 13 13 13 13 14 15 16 17 17 17 16 14 13 12 11 11 11 11 11 12 12 13 14 15 16 16 16 16 17 17 17 15 13 12 12 12 12 13 12 11 12 12 12 12 12 11 11 10 10 9 10 10 9 9 9 9 9 10 11 12 12 12 12 11 11 11 10 10 11 12 13 12 11 10 10 10 10 10 11 10 11 11 11 11 11 11 12 12 12 11 nan
nan 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 14 14 13 13 13 14 14 15 16 17 18 18 16 15 13 11 11 11 11 11 10 11 11 11 12 13 14 15 15 16 17 18 18 17 16 15 14 14 14 13 12 12 13 13 12 11 11 11 10 10 9 9 9 9 8 8 9 10 11 12 13 13 13 13 12 12 11 11 11 12 13 14 14 13 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 nan
nan 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 13 13 13 14 14 13 13 14 14 14 15 16 18 19 18 16 15 13 12 11 11 10 10 10 10 10 10 11 12 13 13 14 15 17 19 20 20 19 18 17 16 16 16 15 15 15 13 10 10 10 10 10 9 9 9 8 8 8 9 10 12 12 13 12 12 12 12 12 12 12 12 12 13 14 15 13 11 9 8 9 9 10 10 10 11 11 10 11 11 11 11 11 11 11 11 nan
nan 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 13 14 13 13 14 14 15 16 17 18 18 17 15 14 13 12 11 10 10 10 10 9 10 10 11 12 12 12 13 14 16 18 20 20 20 19 19 19 19 18 18 15 11 10 10 10 9 8 9 9 9 9 9 9 10 11 12 12 12 11 11 11 11 11 12 12 12 13 14 14 12 9 7 7 7 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 10 11 11 12 12 12 13 12 12 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 14 14 15 16 17 16 16 15 14 13 13 13 12 11 11 10 9 10 11 11 11 11 11 10 10 10 12 15 16 17 17 19 20 19 18 17 15 13 13 12 11 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 12 12 13 13 14 12 9 6 5 6 7 8 9 9 9 10 10 9 10 10 10 10 11 11 11 11 11 nan
nan 10 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 14 14 15 15 15 15 15 14 13 13 14 14 14 13 12 10 10 11 11 11 11 10 9 9 8 7 8 9 11 12 13 15 15 15 15 15 14 14 15 16 14 13 12 10 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 13 13 12 10 7 6 7 8 9 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 11 nan
nan 11 11 11 11 12 12 11 12 12 12 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 14 15 15 14 13 12 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 11 11 11 15 18 17 17 16 13 11 11 10 10 10 11 10 10 9 9 9 9 10 10 11 11 11 12 12 11 9 8 8 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 12 12 12 nan
nan 11 11 11 11 12 12 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 13 13 13 13 13 13 14 14 14 13 14 14 14 15 14 13 13 12 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 8 7 8 11 13 15 18 19 18 16 14 11 10 10 11 10 10 10 9 9 10 10 10 11 11 10 11 10 10 10 10 10 10 9 9 8 7 8 8 8 8 9 9 10 11 11 12 12 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 2 1 1 0 1 2 3 3 2 2 1 0 1 1 1 2 3 6 14 22 29 33 30 23 18 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 9 17 20 21 25 33 48 79 136 218 319 440 578 660 692 686 663 639 589 489 372 265 173 100 47 167 275 300 236 298 290 285 302 337 388 446 518 598 675 753 831 886 913 915 909 942 980 1019 1046 1055 1045 1020 981 931 905 866 824 774 715 653
0 0 0 0 0 3 2 1 1 2 2 3 4 4 4 3 1 0 1 2 1 1 2 3 9 18 28 34 31 24 18 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 6 10 10 11 14 21 36 72 138 214 292 386 524 603 639 643 620 618 581 509 416 310 206 130 73 78 142 255 189 208 239 262 293 318 361 419 496 577 641 718 794 853 883 886 889 903 927 956 968 993 1005 1001 976 912 874 830 778 722 656 615
2 1 1 1 2 2 1 2 2 3 3 4 4 4 3 2 2 2 2 3 3 2 2 3 6 14 25 33 31 26 20 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 6 8 9 11 15 34 66 113 168 219 292 406 488 528 524 500 554 565 527 449 337 260 188 123 74 31 165 190 187 183 215 265 297 339 402 491 556 617 688 760 818 847 859 872 891 907 926 946 968 982 981 949 906 856 791 721 652 604 602
4 4 3 1 2 2 2 3 3 3 3 4 4 4 4 4 5 4 4 4 4 3 2 3 5 11 22 30 31 28 22 18 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 7 9 10 11 13 29 54 86 132 152 216 302 391 460 484 469 505 549 564 518 417 321 239 173 133 71 138 224 263 172 179 211 249 294 346 426 498 567 636 703 749 778 795 819 868 896 914 935 957 976 985 966 924 860 781 708 639 600 606
6 5 4 3 2 3 3 3 4 3 3 3 3 4 5 6 6 6 6 6 5 4 2 1 3 10 21 29 32 30 23 20 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 4 6 7 7 6 6 16 43 93 165 171 192 245 339 415 468 502 536 575 619 586 501 400 310 231 190 137 127 183 343 230 189 180 193 234 290 356 424 492 557 617 667 698 714 734 795 844 887 920 950 978 991 977 934 875 806 742 687 656 654
7 6 7 5 4 4 3 3 3 3 3 2 2 5 6 6 6 6 5 6 5 4 1 0 3 11 21 29 33 33 27 20 14 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 5 3 1 4 13 58 153 208 227 223 306 377 450 523 590 631 668 655 597 521 439 333 248 172 101 28 182 216 212 194 174 200 245 301 362 422 476 528 579 617 635 666 725 791 848 881 922 964 985 972 927 881 837 794 759 739 714
8 7 6 6 6 4 3 3 3 3 2 2 6 8 7 7 6 5 5 5 5 4 2 3 6 12 21 28 31 27 21 15 10 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 2 3 3 2 0 0 17 76 155 229 205 256 321 398 495 593 650 688 705 708 670 564 442 329 232 127 56 85 153 230 229 206 208 227 265 315 358 402 451 507 560 581 617 668 731 794 832 879 928 960 946 907 872 840 811 784 760 741
9 7 7 8 7 5 4 4 3 2 2 4 7 8 8 8 7 6 5 5 6 7 7 7 11 16 20 24 24 21 16 11 6 3 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 5 4 3 3 3 1 1 6 24 60 146 151 167 208 290 420 523 591 632 662 693 674 598 495 387 311 220 134 80 85 226 239 218 196 193 218 260 301 344 391 452 508 547 581 620 675 734 784 826 860 888 881 868 843 807 773 755 747 745
9 7 5 5 5 4 4 3 1 1 1 5 10 11 10 10 9 7 6 6 7 8 7 9 13 18 21 22 20 17 12 7 6 5 3 1 1 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 1 6 8 8 7 6 6 5 5 6 8 13 57 76 82 96 181 306 407 472 498 526 544 540 511 452 356 317 281 225 154 89 203 239 218 169 151 175 209 249 295 347 408 464 507 540 577 626 676 722 757 783 805 816 817 801 766 740 737 743 748
9 6 4 3 3 4 3 1 1 1 3 7 11 12 11 9 9 8 8 9 9 8 8 8 10 14 17 17 16 13 8 5 5 7 7 3 1 0 1 4 8 3 1 1 1 2 3 2 1 1 0 0 2 6 11 15 13 11 10 9 7 6 4 7 20 28 26 21 91 173 259 334 341 353 360 363 355 320 255 227 237 255 223 191 220 238 217 155 140 148 173 208 248 302 359 412 453 480 517 558 601 639 669 702 735 755 759 754 735 724 732 751 755
10 7 5 4 5 4 2 1 1 2 2 5 8 9 7 7 6 6 7 8 10 10 9 7 6 8 9 11 14 14 10 7 6 8 11 6 3 1 2 6 13 7 5 3 4 7 8 6 3 2 2 2 3 5 11 20 19 17 15 13 11 7 5 6 10 14 11 9 27 59 107 190 204 202 205 215 224 193 156 121 110 159 163 163 178 196 172 138 120 124 149 184 220 260 304 347 386 415 449 482 516 552 589 633 677 716 731 727 718 715 725 737 747
11 9 7 6 5 4 3 3 3 4 3 4 5 5 3 3 4 5 6 8 9 10 9 7 6 6 5 6 11 13 12 10 10 13 15 11 7 7 8 8 11 11 12 11 9 10 9 7 5 3 5 7 7 6 10 21 23 22 19 15 11 8 6 6 6 10 11 10 9 12 23 72 97 106 115 129 141 144 132 96 52 58 65 74 92 143 139 118 101 105 127 162 201 236 266 297 326 348 367 399 440 478 525 580 635 686 713 716 706 694 698 711 724
13 11 9 7 5 4 4 3 4 5 5 6 5 3 1 1 2 4 6 7 7 7 7 6 6 6 5 5 7 10 12 13 14 16 16 16 15 13 11 10 11 15 19 19 17 14 11 8 7 5 6 9 11 11 15 21 23 23 21 16 12 8 6 6 5 8 9 10 9 6 7 18 40 68 79 94 100 119 153 138 101 68 45 37 41 83 114 121 98 96 112 133 165 205 233 258 282 306 333 363 388 419 465 527 590 639 673 681 663 651 655 671 691
15 14 11 7 5 3 2 3 4 5 5 5 5 2 0 0 1 3 5 5 5 5 5 5 5 6 7 8 9 9 11 12 15 18 18 19 19 14 11 9 10 14 18 22 21 17 13 10 9 8 8 9 10 13 16 18 18 18 18 16 13 9 6 5 5 6 7 7 9 7 4 4 8 22 50 72 71 69 135 170 179 161 120 85 53 57 99 142 110 96 96 98 105 144 174 201 229 254 279 308 338 372 420 481 535 583 620 633 623 621 625 640 666
16 14 11 8 6 4 2 4 5 6 6 4 3 1 0 0 1 2 5 6 5 6 7 7 7 8 9 10 11 11 11 11 13 15 16 16 17 16 12 8 7 9 14 17 17 16 14 12 10 9 9 7 5 7 11 14 16 16 16 15 14 11 8 6 6 6 7 8 10 9 8 8 7 4 12 27 35 21 61 115 174 223 214 184 119 70 73 116 110 91 81 91 89 108 127 141 152 165 203 249 289 324 378 442 494 543 585 593 586 588 601 617 642
16 14 11 9 7 6 4 4 5 4 3 0 0 0 0 1 2 3 6 8 10 12 13 12 12 11 12 12 13 13 12 10 9 9 10 13 15 16 12 8 6 6 11 18 20 19 20 17 15 12 8 4 2 2 6 11 15 17 17 16 15 14 12 9 9 9 11 11 11 10 6 6 6 3 1 2 8 5 10 17 48 127 159 175 154 104 76 89 92 79 66 91 119 133 132 129 134 148 171 202 242 280 333 398 465 511 538 547 542 538 555 577 605
15 13 11 10 8 7 6 5 5 4 2 1 0 0 1 3 4 6 7 9 11 14 15 16 15 14 14 14 14 13 11 9 6 4 4 6 12 15 14 11 8 6 11 21 28 29 26 23 19 15 9 5 4 4 5 10 17 19 19 17 16 16 16 14 12 12 10 8 9 9 4 5 5 3 1 0 1 0 0 0 2 27 46 59 61 39 49 60 62 52 43 69 122 158 164 157 152 154 163 183 215 255 306 360 403 438 474 491 484 481 506 524 547
14 13 12 12 9 8 8 8 7 4 4 3 2 2 2 3 5 8 10 11 12 13 14 14 14 12 12 12 12 10 9 7 5 3 1 2 8 12 14 13 9 7 12 21 28 31 29 25 21 17 14 10 9 10 11 15 23 25 22 18 17 18 19 17 15 13 11 8 7 7 5 4 3 1 0 0 0 0 0 0 0 1 3 5 6 7 14 23 31 25 20 26 54 95 111 109 115 133 144 153 175 218 270 311 357 380 406 430 419 415 442 464 481
14 13 12 12 10 10 9 8 9 8 8 8 6 5 3 3 5 8 12 12 13 13 12 12 12 11 11 11 11 8 7 6 4 2 0 1 5 11 16 17 13 10 10 16 21 27 27 25 23 22 21 18 15 15 17 21 25 27 24 19 18 18 19 19 18 16 13 10 8 7 5 3 2 1 3 1 0 0 0 0 0 0 0 1 0 0 1 3 9 11 9 7 10 25 30 37 47 58 65 83 122 177 239 308 346 354 349 367 377 378 386 403 413
15 13 13 13 12 11 10 9 9 10 11 10 9 7 5 4 4 4 10 11 12 12 12 12 12 11 11 10 11 7 6 5 4 0 0 2 6 13 20 24 23 22 21 18 15 19 23 24 24 23 22 21 20 20 22 25 28 30 28 23 21 21 21 20 19 16 13 10 8 6 4 2 1 2 3 1 0 0 0 0 0 0 1 3 2 0 0 0 1 3 2 3 12 24 30 30 28 30 41 61 93 138 209 266 310 332 322 316 311 320 340 353 362
16 15 14 13 13 12 12 12 12 12 11 11 9 8 6 6 6 4 8 10 13 15 15 14 13 13 13 12 10 8 6 5 5 2 1 2 8 20 29 36 39 41 36 24 17 16 20 24 25 23 22 23 25 24 25 27 29 31 29 27 25 24 22 21 19 17 14 11 9 7 5 3 1 0 0 1 1 0 0 0 1 1 1 4 4 1 0 0 0 1 3 11 22 45 73 90 92 77 66 68 84 121 181 237 280 306 306 300 292 286 296 316 326
16 15 14 13 13 13 13 12 13 13 12 11 10 8 7 6 7 7 9 11 13 16 17 17 17 17 16 15 12 10 8 6 7 6 4 4 9 30 44 55 62 66 50 36 26 20 17 20 22 22 23 25 27 26 26 25 26 25 25 26 26 24 21 20 18 16 14 11 9 7 6 4 2 1 1 2 2 1 1 1 1 2 1 2 3 4 2 1 0 0 2 5 15 39 81 114 158 145 106 94 105 113 139 192 237 249 254 263 280 288 282 292 308
16 15 14 13 13 13 13 13 13 13 11 10 10 9 8 8 9 10 11 12 13 16 17 18 18 18 18 16 14 12 10 8 8 8 8 7 12 30 48 63 74 78 65 51 39 28 20 19 20 22 24 26 28 27 26 24 23 23 24 26 26 24 22 19 18 16 14 11 10 9 6 5 3 1 1 2 2 2 3 4 5 4 2 2 5 6 4 2 0 0 0 1 4 12 30 50 88 115 97 96 97 89 88 116 140 167 198 223 242 263 262 260 279
15 15 15 14 14 14 14 13 13 12 11 11 11 11 11 11 12 13 13 13 13 14 16 17 17 18 18 18 16 14 12 10 9 9 10 8 13 21 30 37 44 53 55 53 50 35 24 19 19 23 26 28 29 27 24 24 23 22 23 26 27 28 28 25 19 17 15 13 11 11 8 6 4 2 1 3 5 6 6 7 8 6 3 1 2 3 4 2 0 0 0 0 0 0 3 7 14 28 32 41 43 36 25 42 76 121 175 214 216 213 211 209 229
15 15 15 15 15 16 15 14 13 12 11 12 13 14 14 14 15 14 14 14 14 13 13 14 16 18 20 21 20 17 14 11 10 10 11 10 11 12 14 16 18 24 31 35 43 35 27 21 18 19 24 28 28 26 23 23 22 22 22 25 28 30 29 24 20 18 17 15 14 12 11 9 7 5 3 3 6 7 6 6 6 6 5 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 5 9 11 16 41 73 102 138 188 197 171 154 154 171
15 16 16 16 16 18 17 15 14 13 12 13 15 17 18 18 18 17 16 16 16 15 14 14 16 18 21 22 22 19 16 12 10 10 10 11 9 7 5 7 10 13 16 17 26 29 27 24 19 20 23 25 26 23 20 19 19 19 21 24 28 29 29 23 21 19 18 17 16 14 12 11 9 7 4 3 3 2 2 3 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 19 33 57 75 87 108 127 121 104 106 120
17 17 18 19 20 20 18 16 14 13 13 14 16 18 20 20 20 20 20 20 20 18 16 14 15 16 18 20 21 18 15 11 9 9 9 9 8 4 3 3 5 8 11 13 16 20 24 26 22 21 21 21 21 19 17 16 16 17 20 24 27 28 28 24 20 19 20 19 16 14 13 11 9 7 5 4 2 2 2 2 3 5 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 18 24 29 50 65 66 70 81 78 82 101
20 21 22 22 23 22 20 17 15 14 14 15 16 19 22 24 24 23 23 23 22 20 17 16 15 16 18 20 19 17 15 14 12 10 9 8 8 5 4 3 5 7 9 10 12 15 18 22 21 19 17 16 16 16 16 15 14 15 19 23 27 29 27 23 19 17 16 17 19 20 17 12 9 7 6 5 4 3 2 2 3 5 7 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 5 15 29 23 34 61 58 40 52 65 66 77
22 23 24 23 23 23 22 19 18 17 18 19 21 24 27 29 29 27 29 29 26 22 21 20 20 21 22 22 20 18 17 17 16 13 10 8 6 4 3 3 6 6 7 9 11 11 13 14 15 14 12 10 11 13 14 12 11 12 15 18 22 25 26 23 15 12 12 15 20 24 19 13 9 8 7 6 5 4 3 3 2 3 5 7 7 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 8 21 19 11 21 28 28 35 48 51 47
25 26 26 25 25 25 24 22 21 22 23 24 27 31 35 36 35 31 31 31 30 27 27 28 28 28 29 27 25 23 21 21 20 16 12 8 4 3 2 2 3 4 6 8 10 10 10 11 12 9 6 5 7 10 12 10 9 8 9 9 13 18 23 24 13 9 9 12 17 20 17 12 9 8 7 7 6 5 4 4 4 4 4 5 6 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 6 1 2 3 10 18 25 37 42
25 26 27 26 25 25 25 24 25 26 29 31 32 35 38 41 38 34 32 32 34 31 31 31 32 32 32 30 27 25 24 21 17 14 9 6 3 2 1 0 1 1 3 7 9 9 9 10 12 7 3 2 4 9 9 8 7 5 3 2 4 8 13 13 8 5 5 6 10 12 12 10 10 9 8 7 7 6 5 5 5 4 4 5 5 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 22 34
22 24 24 23 23 25 27 28 29 30 32 34 35 36 36 37 37 36 36 38 38 33 31 32 32 34 33 31 26 21 16 12 9 6 3 2 0 0 0 0 0 0 2 5 7 8 9 10 10 5 1 0 1 4 5 6 5 2 1 0 0 1 4 3 2 1 1 2 5 7 9 9 9 8 7 6 6 6 7 7 6 4 4 5 5 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 18
20 20 19 19 22 26 31 33 33 33 33 34 35 35 33 33 35 38 38 33 31 30 31 32 32 32 30 27 21 18 14 11 7 4 2 1 0 0 0 0 0 0 1 3 6 7 8 10 9 5 0 0 1 2 4 4 2 1 0 0 0 0 0 0 0 0 0 0 1 3 6 6 6 5 5 5 6 6 7 7 7 6 6 6 6 6 6 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7
15 14 15 18 24 31 38 41 36 35 33 34 38 37 35 34 35 39 39 33 31 31 30 30 29 27 24 21 17 15 13 11 9 6 3 1 0 0 0 0 0 0 1 3 6 7 9 11 11 7 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 5 7 6 6 7 8 9 8 7 6 5 5 6 7 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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8 9 10 11 12 14 15 16 17 16 16 17 18 19 24 33 38 42 43 42 38 30 24 20 18 16 16 17 17 17 14 12 11 10 9 7 6 5 3 2 2 2 1 0 2 6 9 10 9 4 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 1 3 5 6 6 6 6 5 4 4 3 2 1 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
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3 3 4 4 6 6 5 5 4 4 2 3 5 10 16 24 30 33 33 31 27 23 20 16 16 16 15 14 14 13 12 11 10 9 9 8 8 8 8 7 5 2 0 0 1 2 5 6 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 0 0 0 0 1 0 1 1 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 0 0 0 0 0
1 1 1 2 3 4 3 2 3 2 0 2 4 7 13 21 26 28 28 25 18 14 15 14 13 14 13 12 12 11 11 10 8 8 8 8 8 8 9 8 5 2 0 0 0 1 3 4 2 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 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 0 0
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