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 8 6 5 6 7 8 8 9 9 9 9 9 10 9 7 6 7 10 10 10 9 7 7 9 10 10 10 11 11 11 10 8 9 9 8 8 8 6 6 7 8 9 9 9 8 8 7 6 6 6 5 5 6 8 8 6 6 7 7 8 8 8 7 7 7 7 8 8 7 7 8 9 9 8 8 8 9 9 9 nan
nan 8 8 6 6 6 5 6 7 8 8 8 7 8 9 9 8 8 10 11 10 10 9 9 9 9 9 10 11 11 11 10 8 9 9 9 9 7 6 6 6 9 10 9 9 9 8 7 6 6 6 5 5 6 8 8 7 6 7 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 nan
nan 8 8 8 7 6 4 4 6 7 7 7 7 7 8 10 10 10 11 11 11 11 11 11 10 9 9 9 10 11 10 9 9 9 9 9 9 8 6 6 6 8 10 9 9 9 9 7 6 6 6 5 5 6 7 8 7 7 8 8 7 7 7 8 8 8 8 8 8 9 8 9 9 9 9 9 9 10 10 9 nan
nan 8 7 8 9 8 6 6 7 8 9 8 8 8 9 10 11 12 12 11 11 11 11 11 10 9 9 9 9 9 9 9 10 11 10 9 8 8 6 6 6 8 9 10 9 10 9 8 7 7 6 5 6 6 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 nan
nan 8 8 9 10 8 7 7 8 9 9 9 9 9 10 10 11 11 11 11 11 10 11 11 10 10 9 9 8 8 9 10 11 12 10 9 8 7 6 6 6 8 9 9 9 10 9 8 7 7 7 7 7 7 7 6 6 7 8 8 7 7 7 7 8 8 7 7 8 9 10 10 11 10 10 9 9 9 9 8 nan
nan 8 8 9 9 9 8 7 8 9 10 9 10 10 10 10 9 9 10 11 11 9 10 10 11 10 9 9 8 8 9 10 12 12 10 9 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 8 8 8 8 6 6 7 8 8 8 8 8 8 8 7 8 8 8 9 9 10 10 9 9 8 9 9 8 7 nan
nan 9 8 8 9 9 8 7 8 9 9 9 9 10 10 10 9 8 9 10 10 9 9 9 10 10 9 9 10 9 9 10 11 11 10 9 9 8 7 7 7 7 8 9 9 9 9 8 8 7 7 8 8 8 9 8 6 7 8 8 8 9 10 9 8 8 8 8 8 8 8 9 9 8 8 8 7 8 7 7 nan
nan 13 12 10 9 9 9 8 8 9 9 8 9 10 11 11 10 10 9 9 9 8 9 9 9 9 8 9 11 10 10 10 10 10 10 9 9 8 8 8 7 7 8 9 9 8 9 9 8 7 7 7 7 8 8 8 7 8 8 8 8 9 10 10 9 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 nan
nan 17 16 12 11 10 9 8 8 8 8 8 9 10 11 10 9 10 10 9 9 8 8 9 9 9 9 10 11 10 10 10 9 10 10 9 9 8 8 8 7 7 8 8 9 9 9 9 8 7 7 7 7 8 7 7 7 8 8 8 7 8 9 10 10 9 9 8 7 7 7 7 7 6 6 6 6 7 7 7 nan
nan 14 18 13 10 9 9 8 8 8 8 7 8 10 10 9 9 10 11 10 9 8 9 9 10 9 9 11 11 10 9 9 9 10 10 9 9 9 8 7 8 8 8 8 8 9 9 9 8 7 7 7 8 7 7 6 7 8 8 8 8 7 7 8 10 9 9 8 7 7 6 7 6 5 6 6 7 7 7 8 nan
nan 8 14 14 11 10 8 8 8 8 8 8 8 9 10 10 9 9 10 10 8 7 9 10 11 10 10 11 11 10 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 8 7 7 7 8 8 7 6 7 8 8 7 8 8 8 8 9 9 8 7 6 5 6 5 6 6 6 7 7 8 8 8 nan
nan 6 8 11 13 14 12 11 10 9 9 8 9 9 11 11 9 8 9 10 9 7 9 11 11 10 10 11 11 11 9 9 9 9 9 9 9 8 8 8 7 7 8 9 10 9 9 9 9 8 7 7 7 8 7 7 8 8 8 7 7 8 8 8 9 8 8 7 5 4 4 5 6 6 6 7 8 8 9 9 nan
nan 7 5 6 10 14 16 16 12 9 9 8 9 11 12 10 9 8 9 9 9 9 9 10 10 10 10 11 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 7 7 7 7 7 8 8 8 7 6 6 7 8 9 9 8 8 7 6 5 5 6 6 6 7 7 7 8 9 9 nan
nan 10 6 4 5 9 12 13 12 9 9 8 9 11 12 9 9 9 10 10 9 9 9 9 8 9 10 11 12 11 11 9 9 8 8 9 9 8 7 7 8 9 9 10 10 10 9 9 9 9 8 7 6 6 7 8 8 7 7 6 5 6 8 9 9 8 8 8 8 7 6 6 7 7 6 7 7 7 8 8 nan
nan 11 9 6 6 7 8 8 9 8 9 9 10 11 11 10 9 9 10 10 9 9 9 8 8 9 10 11 11 11 11 11 10 9 9 9 9 8 7 7 8 9 10 10 10 10 9 10 9 8 8 7 6 6 7 8 8 8 7 6 5 5 7 8 9 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 nan
nan 12 9 8 8 8 8 7 7 8 10 12 13 11 9 9 9 9 10 9 9 9 8 7 8 9 10 10 10 11 12 11 11 10 10 9 9 8 7 7 8 8 10 10 10 10 9 9 8 8 8 8 7 7 8 8 8 8 8 8 6 5 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 nan
nan 10 9 9 9 8 8 8 7 7 9 12 14 12 10 9 9 10 10 8 7 9 8 8 8 8 10 12 10 10 11 11 11 11 10 10 9 8 8 9 8 8 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 9 9 8 7 6 6 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 nan
nan 8 9 9 8 8 9 8 6 4 5 9 12 11 11 11 10 10 11 9 8 9 10 9 7 8 11 12 12 11 10 10 11 11 10 9 8 8 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 9 8 8 8 9 8 7 7 7 6 6 6 6 6 6 7 7 6 7 7 7 7 8 8 nan
nan 9 9 9 9 8 8 8 7 5 5 7 8 8 9 9 9 10 11 11 10 11 11 10 8 8 10 13 13 10 10 9 9 10 10 9 8 7 7 9 11 11 10 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 6 6 6 7 7 7 7 8 7 nan
nan 8 10 10 9 9 8 8 8 8 8 8 9 8 7 6 6 7 10 11 10 11 12 11 10 8 10 11 12 11 10 9 8 8 7 8 10 8 7 7 9 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 7 7 6 6 6 6 6 7 7 8 nan
nan 8 9 10 10 9 8 7 8 8 9 10 10 9 8 7 6 6 8 9 9 9 10 12 10 9 9 9 10 9 10 10 8 7 6 7 9 9 8 8 8 9 10 10 10 9 8 9 8 8 9 8 8 8 8 7 6 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 7 7 nan
nan 9 9 9 10 9 9 8 7 9 9 10 10 9 8 8 8 8 8 7 8 8 8 11 11 9 8 7 7 8 9 10 8 6 5 6 8 8 7 7 8 10 10 9 9 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 6 6 8 nan
nan 9 9 9 10 10 9 8 8 8 9 9 8 8 8 9 9 9 8 8 9 8 8 9 10 9 8 7 6 6 8 9 8 6 5 5 8 9 8 6 7 9 9 9 8 8 8 8 8 8 7 8 9 9 9 9 9 9 9 9 7 7 6 6 6 6 6 7 7 8 9 9 9 8 8 9 8 7 8 9 nan
nan 8 9 9 10 10 10 9 9 9 8 7 7 7 9 9 9 9 9 9 9 8 8 7 8 9 8 7 6 6 7 9 8 7 7 4 4 8 9 10 10 9 8 7 8 9 9 9 8 8 7 8 10 10 9 10 11 11 11 10 9 8 7 7 6 6 6 7 7 8 9 9 9 9 9 10 9 8 9 10 nan
nan 8 9 9 10 10 9 9 9 10 9 8 7 7 8 8 9 8 8 9 8 7 6 8 10 9 8 7 6 6 6 8 8 7 7 2 -0 3 8 13 13 10 8 7 7 8 10 10 9 8 8 9 10 9 10 12 13 13 12 10 10 9 9 8 7 7 7 7 7 7 7 8 9 9 9 8 8 9 10 11 nan
nan 8 11 11 12 11 10 10 10 10 10 9 8 9 9 9 9 8 8 8 7 7 6 8 10 9 8 7 7 6 6 7 7 6 4 2 1 6 11 14 13 10 8 8 7 8 10 11 10 9 8 8 8 9 11 12 13 13 11 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 8 8 9 10 11 12 nan
nan 9 11 13 14 13 13 12 11 11 10 9 9 10 10 10 9 8 7 7 7 7 7 8 10 9 7 7 9 8 7 6 6 6 4 2 5 11 15 16 13 10 10 9 9 9 11 12 10 8 7 8 10 11 12 12 11 11 9 7 7 7 7 7 6 6 6 6 7 8 8 8 8 9 9 9 9 9 10 11 nan
nan 9 11 13 14 15 15 15 13 12 11 10 10 10 11 11 10 9 7 7 8 8 7 9 12 10 7 6 8 11 10 8 6 4 2 3 9 14 17 15 12 11 11 12 12 11 12 13 10 8 8 12 16 18 18 15 12 10 8 7 7 8 8 7 6 6 5 6 8 9 9 10 10 9 10 11 10 10 9 9 nan
nan 9 10 12 14 15 15 15 15 13 12 12 11 10 11 11 11 9 8 8 8 8 7 9 12 11 9 7 7 10 11 9 6 2 2 7 13 15 15 13 11 12 12 13 13 12 12 12 10 9 10 15 19 19 19 19 18 13 9 8 8 8 9 8 7 6 6 7 8 9 9 10 9 10 11 12 12 13 11 9 nan
nan 10 10 11 13 14 14 14 15 15 14 13 12 11 12 12 11 11 10 9 8 8 8 8 10 10 9 8 7 9 12 10 6 2 5 12 15 15 13 11 11 13 14 15 14 13 12 10 10 10 10 13 15 13 12 14 19 18 13 11 11 10 10 9 9 8 7 7 8 9 10 10 9 9 10 12 12 12 12 11 nan
nan 10 11 12 13 13 12 12 13 14 15 14 14 13 13 14 13 12 10 9 8 7 7 7 7 8 8 8 7 8 9 9 7 6 9 12 13 13 12 12 13 14 15 16 14 12 10 7 7 10 11 11 12 10 9 9 13 16 15 14 12 12 12 12 11 11 9 9 9 10 10 9 8 7 9 10 11 12 12 12 nan
nan 10 11 11 12 12 11 11 12 13 14 14 14 15 16 15 13 11 9 9 9 7 6 7 8 9 9 8 7 7 7 8 8 9 11 11 11 11 12 13 14 15 16 15 14 11 8 6 7 12 14 11 11 10 10 9 9 11 13 13 11 11 12 12 12 12 11 11 11 10 10 10 9 7 7 8 10 11 12 11 nan
nan 10 11 11 11 12 11 11 12 12 13 13 14 15 16 15 13 11 8 7 6 6 6 9 11 12 11 8 7 7 7 8 9 10 11 11 11 11 11 12 14 15 15 14 12 8 5 4 6 9 11 10 10 10 10 9 7 7 8 8 8 8 10 11 11 12 13 13 13 12 10 10 9 9 11 12 12 13 14 13 nan
nan 11 10 11 10 11 11 12 12 12 12 12 13 14 14 14 13 10 8 6 5 4 6 9 11 11 11 9 8 7 7 8 10 12 13 12 11 11 10 11 13 14 13 11 8 5 4 2 1 2 5 9 11 10 9 7 6 5 5 5 5 6 8 10 10 10 12 13 14 12 11 10 9 11 12 14 15 16 16 15 nan
nan 11 10 10 11 11 11 11 11 11 12 11 11 12 13 13 12 10 8 7 6 5 6 9 10 9 9 9 9 9 8 9 11 13 13 11 10 10 9 9 11 11 10 8 5 3 2 2 0 1 5 10 11 10 8 6 4 3 4 4 4 5 8 10 10 9 10 12 13 12 11 10 10 11 12 13 14 14 15 14 nan
nan 10 11 11 11 11 11 11 10 10 11 10 10 10 11 12 11 9 9 8 8 8 7 8 10 11 11 11 10 9 9 10 11 12 11 9 8 8 8 9 10 8 6 5 4 4 3 3 2 4 6 8 9 9 7 5 3 3 3 4 4 6 8 9 9 10 11 11 12 12 11 11 11 11 12 12 12 13 13 12 nan
nan 11 11 11 10 10 11 10 10 11 10 9 9 10 10 10 9 9 9 9 9 9 8 9 11 11 13 14 12 12 12 12 11 10 9 7 7 8 9 10 9 7 5 5 6 6 5 3 2 3 5 7 7 7 6 4 3 3 4 6 6 6 8 9 9 10 11 11 10 10 10 10 11 12 12 12 12 13 12 12 nan
nan 12 12 11 10 9 10 10 10 11 10 9 9 9 9 9 9 9 8 8 8 8 7 10 14 13 12 11 12 13 14 13 12 10 9 8 8 9 9 9 9 8 6 6 6 5 5 4 3 4 6 6 6 6 5 5 5 6 7 8 8 7 7 9 11 12 11 11 10 10 10 11 12 12 12 12 12 12 12 13 nan
nan 13 12 11 10 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 6 6 9 13 13 11 10 10 11 13 12 11 9 8 8 9 10 9 9 9 8 7 6 5 5 5 5 7 7 6 6 5 5 5 6 6 7 8 8 7 6 6 8 10 10 10 11 10 10 11 12 13 13 13 12 11 11 11 11 nan
nan 13 13 12 10 10 10 10 10 10 10 9 10 9 9 9 9 8 8 8 8 5 5 8 11 12 11 11 11 11 10 10 10 9 8 8 9 10 10 10 9 8 6 6 6 6 6 6 8 8 6 4 4 4 5 6 6 6 7 6 3 3 5 8 8 9 9 9 10 11 12 13 13 13 13 12 11 10 11 12 nan
nan 12 13 12 10 10 10 11 11 10 9 9 9 10 9 9 9 9 9 9 7 5 4 7 9 10 8 10 13 12 10 8 9 10 10 11 11 11 11 10 8 7 7 8 8 7 6 8 10 8 4 3 4 5 5 5 4 5 5 4 2 2 7 10 9 9 10 10 10 11 13 14 15 14 13 12 11 11 11 12 nan
nan 11 12 11 10 10 11 12 11 10 9 10 9 10 10 10 9 9 10 10 8 6 5 6 9 9 8 8 11 11 10 8 8 9 11 12 12 12 10 8 6 5 7 8 7 6 6 10 10 7 4 4 5 6 6 5 4 4 5 2 1 4 10 12 12 12 11 11 11 12 13 14 14 13 12 11 11 11 12 12 nan
nan 12 12 10 10 10 11 11 11 10 10 10 9 10 10 9 9 9 9 9 8 7 7 9 10 9 9 9 10 10 9 8 8 10 12 13 13 12 8 7 5 5 5 6 5 4 5 9 10 8 6 7 7 7 6 5 4 6 6 3 4 8 11 11 12 12 13 12 12 12 13 14 13 12 12 12 12 11 12 12 nan
nan 12 12 10 9 10 11 10 10 11 11 10 10 9 10 10 9 9 9 8 8 7 8 10 10 8 9 10 11 12 11 11 9 11 12 13 13 11 8 6 4 4 4 4 5 5 7 9 11 12 11 9 7 7 8 9 9 12 10 6 6 8 10 12 12 12 12 12 14 14 14 13 12 11 12 13 13 12 11 13 nan
nan 12 12 11 10 10 11 10 10 11 11 10 9 9 9 10 10 10 9 9 8 8 10 10 9 8 8 10 12 12 12 12 11 10 11 12 12 10 7 5 3 3 3 3 4 5 6 8 12 15 13 8 7 8 10 13 16 16 11 7 6 8 11 13 12 11 10 11 13 14 14 14 12 11 11 12 13 13 12 15 nan
nan 13 12 11 10 11 11 10 10 11 10 10 9 9 9 10 10 10 10 10 9 9 10 12 12 10 9 9 11 11 11 11 11 11 11 11 10 9 7 6 5 3 3 3 4 5 6 6 10 16 17 12 11 13 15 16 17 13 8 5 7 10 12 11 11 10 9 11 12 13 14 15 14 12 11 10 11 11 12 13 nan
nan 12 12 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 12 13 13 12 10 10 11 10 10 10 11 11 10 9 9 7 6 6 5 5 5 2 4 6 5 7 13 17 18 19 18 17 17 15 11 6 2 6 11 11 10 10 10 11 12 12 12 12 13 15 14 11 9 9 10 11 10 nan
nan 12 11 11 11 10 10 10 10 10 9 9 9 10 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 11 11 11 10 8 7 7 7 7 6 7 9 3 0 4 5 6 8 12 16 17 17 14 13 12 11 7 1 3 11 12 11 12 13 13 12 11 10 10 11 13 14 12 10 9 10 9 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
100 100 101 104 106 104 100 98 101 104 108 106 104 103 104 108 109 112 101 94 94 91 84 69 45 25 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 7 10 13 17 18 19 22 27 32 32 32 40 50 57 63 70 82 90 96 98 97 94 94 91 86 85 90 96 98 90 77 70 72 79 88
89 93 95 96 97 98 98 97 98 94 100 103 108 108 100 100 98 110 100 89 88 86 75 59 36 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 9 12 14 16 17 19 23 28 29 28 34 41 48 55 62 66 74 89 96 94 92 95 96 88 84 84 86 85 77 68 63 60 60 64
74 81 89 89 89 92 96 100 101 101 105 108 110 109 99 96 92 100 96 88 84 81 67 49 29 13 3 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 5 6 8 11 12 12 13 15 18 23 27 25 28 37 44 43 38 48 55 68 79 85 87 91 95 91 88 85 80 69 58 56 57 57 55 59
62 69 78 80 81 81 82 83 83 88 93 99 103 103 100 100 97 100 99 94 86 77 60 41 23 9 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 2 2 2 4 6 9 9 9 9 12 16 21 27 26 30 39 45 41 36 45 49 52 59 69 79 82 81 81 84 87 83 69 55 51 54 57 59 65
52 56 61 64 67 68 67 65 66 70 79 88 95 98 102 107 106 106 103 97 86 71 51 32 16 5 0 0 0 0 0 0 0 0 0 1 2 2 4 6 10 12 8 3 1 1 2 2 5 6 6 8 12 16 22 27 30 35 40 44 44 43 45 44 38 36 44 63 60 51 51 57 65 76 69 62 60 59 59 63 66
41 43 45 46 49 52 55 57 58 64 70 78 86 93 101 108 110 110 105 94 78 61 40 22 9 2 0 0 0 0 0 0 0 0 0 1 3 2 4 9 14 17 14 9 4 2 1 1 2 3 6 9 13 17 20 26 30 33 34 28 27 30 35 34 29 27 29 39 37 29 26 29 35 49 54 58 62 63 63 67 70
30 31 32 34 36 40 46 50 54 60 67 74 81 87 93 101 105 106 99 84 65 48 28 13 4 0 0 0 0 0 0 0 0 0 0 0 2 2 3 8 12 13 14 12 8 4 1 0 1 3 6 11 15 16 17 19 22 27 28 16 16 20 27 30 28 26 24 24 24 21 18 17 18 28 38 45 51 56 63 71 76
20 21 23 26 28 33 38 43 50 57 66 73 78 82 85 91 95 94 84 68 51 35 18 7 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 8 9 9 7 3 0 0 2 2 5 10 13 10 11 12 12 13 14 9 10 15 24 32 32 26 21 19 19 19 20 22 32 37 39 42 46 50 56 67 76
13 14 16 21 24 28 33 37 46 53 63 70 74 75 76 80 81 75 64 51 38 24 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 4 1 0 0 1 1 2 5 6 4 4 4 4 3 2 2 5 13 22 29 33 29 21 18 20 24 28 33 47 53 57 60 59 58 59 67 74
12 11 14 18 22 25 28 32 38 45 54 61 64 64 66 69 66 59 48 38 27 17 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 2 7 11 16 31 34 29 25 34 49 53 54 66 72 78 82 80 75 75 80 85
10 9 12 16 20 22 23 25 30 36 43 48 50 51 54 57 54 48 40 30 20 12 6 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 3 5 11 31 36 38 42 54 69 76 82 90 96 100 102 98 95 95 99 105
7 6 7 12 15 17 17 19 23 28 33 37 38 39 41 45 44 40 35 26 17 11 5 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 0 0 0 0 0 0 3 9 19 33 38 45 54 66 79 91 100 106 108 111 115 112 110 109 111 117
4 3 3 6 9 11 12 14 17 22 26 29 30 30 32 35 34 34 31 24 17 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 26 38 44 52 62 74 85 99 109 113 114 113 113 118 116 114 114 118
5 2 1 3 5 7 8 11 13 17 20 22 23 23 26 26 26 27 27 22 16 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 25 42 52 60 70 84 92 107 116 118 116 114 114 114 113 113 114 115
6 2 1 3 4 5 6 7 11 14 17 19 19 19 20 19 19 21 22 17 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 20 42 58 68 76 92 104 114 115 114 111 106 101 100 102 107 111 112
4 2 1 3 4 6 6 8 10 13 16 18 19 18 17 15 15 15 14 10 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 0 0 0 0 0 0 0 0 0 0 0 0 1 17 38 56 67 78 94 107 114 117 114 106 98 93 89 93 101 104 99
1 0 0 2 4 5 7 8 11 13 15 18 19 18 16 14 13 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 29 46 62 79 96 112 122 125 119 104 92 87 85 91 98 92 85
0 0 0 1 2 3 4 6 9 11 12 13 15 15 14 13 10 6 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 1 1 2 9 21 37 55 73 90 108 121 127 124 106 92 85 83 85 87 81 75
0 0 0 0 0 1 1 2 4 6 7 8 9 9 11 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 14 27 46 67 78 93 106 114 116 107 96 87 81 78 75 73 70
0 0 0 0 0 0 0 0 0 0 2 4 4 5 7 5 3 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 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 16 35 59 74 86 98 106 111 104 96 88 83 79 76 70 68
0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 26 55 78 93 102 108 109 104 100 94 88 84 82 79 74
0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 23 53 80 100 113 122 121 118 114 107 98 91 87 82 75
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 1 3 7 21 48 77 102 122 137 138 129 118 109 101 90 82 75 69
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 2 4 5 5 6 7 9 9 19 40 66 94 119 137 142 132 120 110 100 85 79 81 80
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 3 8 16 19 19 18 16 15 14 14 20 34 55 80 106 125 133 131 125 120 110 91 81 79 80
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 2 5 14 27 35 35 35 36 34 29 22 20 24 34 49 69 91 108 121 127 125 124 114 101 90 82 76
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 1 2 1 0 0 0 2 8 19 33 42 39 33 33 39 47 48 40 33 33 40 52 67 82 94 109 119 117 110 104 102 102 99 92
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 2 4 6 7 6 5 4 4 6 16 30 38 35 19 9 11 25 45 57 54 49 48 54 63 74 85 94 105 115 116 110 105 107 110 110 105
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 3 7 11 14 17 20 21 22 22 24 28 31 27 14 5 1 3 15 37 50 54 56 59 66 76 86 95 103 112 122 128 133 130 122 113 110 104
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 3 9 17 23 29 39 48 51 47 47 46 42 34 20 3 2 3 8 18 34 41 45 49 58 70 84 98 111 122 131 135 141 149 151 141 120 108 102
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 2 8 18 28 37 51 68 80 75 60 57 52 42 29 15 12 21 30 36 38 40 39 38 41 50 66 86 104 121 133 136 134 140 146 151 147 128 114 109
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 3 9 17 24 31 44 60 68 58 43 38 32 21 9 4 17 36 53 61 59 50 44 43 45 51 63 84 106 123 132 130 125 130 137 142 142 133 125 121
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 1 2 5 6 11 15 18 17 12 10 9 7 5 3 9 21 36 48 56 54 48 48 55 66 75 86 100 115 127 133 134 130 134 139 144 144 139 132 128
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 1 2 2 1 0 0 0 0 1 4 13 18 21 24 29 30 32 41 56 75 91 106 118 127 133 138 141 146 150 153 158 166 164 152 139
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 1 3 4 4 6 7 14 26 43 64 84 102 117 128 134 136 141 146 149 155 166 182 184 176 159
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 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 5 17 37 64 89 106 114 116 119 124 132 136 140 149 167 184 191 190 180
3 4 3 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 4 20 50 86 104 106 101 98 103 111 120 127 137 153 175 191 198 198 192
3 4 4 3 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 5 26 71 98 102 96 89 89 96 104 110 121 139 164 187 195 198 200 199
2 3 2 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 10 37 78 92 90 85 82 83 89 94 104 121 146 173 187 188 189 194 195
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 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 10 31 57 70 75 75 72 73 81 91 110 135 163 182 186 182 179 180 177
1 0 0 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 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 7 18 36 55 66 67 64 65 77 97 125 158 183 190 184 173 162 156 151
2 2 3 3 3 2 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 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 0 0 0 1 5 16 35 51 58 60 61 70 88 114 146 177 191 187 173 156 140 131 130
5 6 7 6 5 4 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 1 3 5 3 0 0 0 2 8 29 47 54 56 58 68 84 107 134 160 181 182 168 149 133 123 118 120
8 10 10 8 6 5 4 4 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 6 21 46 58 60 60 64 80 99 121 143 160 165 155 138 120 108 103 104 111
9 11 10 8 6 5 5 5 5 4 5 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 21 43 58 64 63 62 69 89 106 123 140 149 142 125 108 97 91 90 96 103
8 10 8 6 5 5 5 5 5 6 6 6 5 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 1 4 14 29 48 59 63 62 62 71 89 105 120 133 138 130 117 104 93 85 82 82 80
6 7 6 5 5 5 5 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 32 46 55 61 64 64 72 83 97 112 128 134 129 119 106 93 76 70 60 44
5 5 5 5 5 5 6 6 6 6 6 6 5 4 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 0 0 0 0 1 4 5 2 0 0 0 0 0 0 0 1 4 13 32 46 57 64 68 69 72 79 90 106 128 139 134 119 100 81 63 58 47 30
4 4 4 4 5 5 5 6 6 6 6 5 4 4 4 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 0 0 0 2 6 8 5 1 0 0 0 0 0 0 0 3 12 30 46 58 65 68 69 72 79 90 105 130 145 140 120 96 77 63 53 41 27
4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 3 1 0 1 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 1 3 3 0 0 0 0 0 0 0 0 3 14 30 43 51 56 58 62 71 83 98 115 139 146 139 122 98 81 67 50 32 20