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 7 6 6 7 8 8 8 9 10 10 10 11 11 9 8 9 10 9 9 10 7 5 7 8 9 9 10 11 11 10 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 7 7 7 7 6 7 8 8 7 6 6 8 9 9 9 8 8 8 8 8 8 7 6 7 8 8 8 7 7 7 8 8 nan
nan 8 8 7 6 6 5 6 7 8 8 9 9 10 11 10 9 9 9 10 10 11 9 7 7 7 7 9 11 12 11 9 8 7 8 8 8 8 8 7 8 9 10 8 7 7 7 6 6 6 7 7 6 6 7 8 7 7 7 8 9 9 9 9 8 8 9 9 8 8 8 8 9 9 8 8 8 8 9 9 nan
nan 8 8 8 7 6 5 5 6 8 8 8 8 9 10 10 10 9 9 9 10 11 11 9 8 7 8 9 10 11 11 10 9 8 7 7 8 8 7 7 8 9 9 8 8 7 7 6 6 6 7 7 6 6 6 7 7 7 8 8 8 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 nan
nan 8 8 8 8 8 6 5 7 9 9 9 9 9 10 11 10 10 9 9 10 11 11 10 9 8 8 9 9 10 11 10 9 9 8 6 6 7 7 7 8 8 9 9 8 8 7 6 6 6 6 7 7 6 6 6 7 8 8 9 8 8 9 8 8 8 9 9 9 9 10 9 9 9 9 9 8 8 8 8 nan
nan 8 8 9 9 8 7 7 8 9 9 9 9 9 9 10 9 10 10 10 9 9 10 10 10 9 8 9 9 10 11 11 11 10 8 7 7 7 7 8 8 8 8 9 9 8 7 7 6 6 7 7 7 7 7 6 6 8 9 9 9 8 8 8 7 8 8 9 8 9 10 10 10 9 9 9 9 8 8 8 nan
nan 8 8 9 9 9 8 7 8 9 9 9 9 8 8 9 8 7 9 10 10 9 9 10 10 10 8 9 10 10 10 11 11 10 9 8 7 7 7 8 8 7 7 8 8 8 7 7 7 6 7 8 8 9 8 7 7 7 9 10 10 9 8 8 7 7 8 8 8 8 9 9 10 10 9 9 9 9 8 7 nan
nan 9 9 9 9 9 8 7 8 9 9 9 9 9 8 8 7 7 8 10 10 9 8 9 10 9 8 9 10 10 9 9 10 9 8 8 8 8 8 7 7 7 6 7 8 8 7 7 7 7 7 8 9 9 10 8 6 7 8 9 10 10 9 8 8 7 7 8 7 7 8 9 9 9 9 9 9 9 8 7 nan
nan 10 10 9 9 9 8 8 8 8 9 8 8 8 9 8 8 8 9 9 8 8 8 9 9 9 8 9 10 10 9 9 9 8 8 8 9 8 8 7 8 7 7 7 8 8 7 7 7 7 8 8 9 9 9 8 7 7 8 8 8 9 9 9 8 7 7 6 6 7 6 8 9 9 10 10 8 8 8 7 nan
nan 11 10 9 9 9 8 8 7 8 8 7 7 8 9 8 8 9 10 9 8 8 8 9 9 9 10 10 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 9 9 9 8 7 6 6 6 6 8 9 9 9 9 8 8 8 7 nan
nan 10 10 9 8 8 8 8 8 8 7 7 7 8 9 9 8 9 11 10 8 8 8 9 10 9 9 11 11 10 9 8 8 10 10 9 9 9 8 8 9 9 9 8 7 7 7 7 7 8 8 9 9 9 8 7 6 7 7 7 7 7 8 9 9 8 8 7 6 7 8 9 8 8 8 8 8 8 8 8 nan
nan 9 9 8 8 8 8 8 9 9 8 8 8 8 9 9 8 10 10 11 10 8 8 10 11 10 8 10 11 9 8 8 8 9 9 9 9 9 9 8 8 9 9 9 8 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 8 9 9 9 9 8 7 7 6 6 7 8 8 8 8 8 8 8 9 8 nan
nan 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 8 9 10 10 9 9 9 10 10 10 9 10 11 9 9 8 8 8 8 8 8 9 9 9 8 8 8 9 9 7 7 8 7 7 7 7 7 8 8 8 8 8 7 7 9 9 10 10 9 9 8 7 6 5 6 8 8 7 8 8 8 9 9 9 nan
nan 11 10 9 9 9 9 9 9 8 9 9 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 10 11 10 9 9 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 7 8 8 8 8 7 7 8 9 10 10 10 9 9 8 7 6 7 8 8 8 8 8 9 9 9 10 nan
nan 15 12 10 11 10 9 8 8 8 8 9 8 8 9 9 8 9 9 10 10 11 10 9 9 9 9 10 10 10 10 9 9 7 7 8 10 9 9 8 9 9 9 8 8 7 7 7 7 7 7 6 6 7 7 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 nan
nan 14 12 11 11 10 9 8 8 7 8 8 8 8 9 9 8 8 9 10 11 11 10 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 8 8 8 9 9 9 8 8 8 7 7 7 7 6 6 6 7 8 7 7 7 7 6 6 7 8 9 8 8 7 7 7 7 7 7 8 8 9 9 9 10 8 nan
nan 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 9 9 11 12 10 10 9 9 9 8 8 10 11 11 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 8 7 7 7 8 8 8 7 7 8 9 10 10 10 9 9 nan
nan 8 8 8 9 9 9 8 7 7 8 8 8 8 7 8 9 9 9 9 9 11 11 10 9 9 9 9 9 9 10 11 11 10 9 9 8 8 8 8 7 8 8 8 8 8 8 7 7 7 8 8 7 7 8 8 8 8 7 8 8 7 6 7 7 7 7 7 7 8 8 8 8 8 9 10 10 9 9 9 nan
nan 8 8 8 8 8 8 8 7 7 8 9 8 8 7 8 9 9 9 9 9 11 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 7 8 8 8 8 9 8 8 9 9 9 9 9 nan
nan 8 9 8 8 8 8 8 7 7 8 9 9 8 8 9 9 9 9 9 10 11 11 10 9 9 10 9 10 10 9 8 9 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 7 8 8 8 8 8 9 9 9 8 8 9 8 9 9 9 9 10 9 nan
nan 8 9 9 9 9 9 8 8 8 8 9 9 8 8 8 9 9 8 9 10 10 11 11 9 9 9 10 10 10 9 8 8 8 8 10 9 9 8 8 8 9 8 8 7 7 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 7 8 9 9 8 9 9 9 9 8 8 8 8 9 9 9 10 10 9 nan
nan 8 8 8 8 8 8 7 7 8 9 9 9 8 8 8 9 8 8 9 9 9 10 11 11 10 9 10 10 10 10 9 8 7 7 9 10 9 9 8 9 9 8 8 9 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 10 9 nan
nan 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 8 9 9 9 8 8 11 11 10 10 11 12 11 10 9 8 7 7 8 10 10 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 9 9 8 8 9 9 9 9 9 9 8 9 9 nan
nan 9 8 8 8 8 8 9 10 9 10 9 9 9 8 9 9 8 9 9 9 9 9 10 11 11 12 13 13 12 11 11 10 9 8 8 9 10 9 8 8 9 9 9 9 9 9 8 9 9 9 10 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 nan
nan 8 9 9 9 10 11 12 12 13 12 11 10 8 8 8 8 8 8 9 9 9 9 9 10 11 13 13 13 11 10 12 14 14 11 8 8 10 10 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 nan
nan 7 7 8 8 8 9 11 13 15 16 15 12 9 8 7 7 7 8 8 9 9 10 11 11 11 13 12 10 9 8 10 13 15 12 10 9 10 11 10 8 8 8 8 8 9 10 10 9 9 8 8 9 9 8 8 8 8 9 10 9 9 9 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 nan
nan 7 8 9 8 5 5 7 10 14 16 17 15 11 8 7 7 7 7 8 8 9 10 11 12 13 13 12 8 7 7 9 11 12 12 10 10 11 12 11 9 9 8 8 8 9 11 10 10 9 9 10 9 9 9 8 8 7 8 9 9 9 9 8 8 9 9 8 8 8 8 8 9 9 9 8 9 9 10 10 nan
nan 7 9 11 10 7 5 6 8 12 14 15 15 12 9 8 7 7 7 8 9 9 10 11 14 15 13 11 9 7 7 8 9 10 11 11 10 10 11 11 10 10 10 9 8 7 8 9 9 9 10 11 11 11 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 8 9 9 8 8 9 9 9 nan
nan 7 9 11 11 9 7 7 9 12 13 14 15 13 9 8 7 7 6 7 9 8 9 12 16 17 15 12 10 9 8 9 9 9 10 10 8 8 9 10 9 10 10 9 8 7 6 7 9 9 10 11 12 13 12 11 10 9 8 7 7 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 nan
nan 8 8 9 10 8 5 6 9 11 12 13 15 14 10 8 8 8 7 7 6 6 9 12 14 15 13 11 9 10 11 11 10 10 10 8 7 7 8 9 10 10 10 10 9 8 8 8 9 10 11 12 12 13 12 11 9 9 9 8 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 nan
nan 9 9 9 10 8 4 3 6 7 8 10 14 15 12 9 9 10 10 8 6 6 8 10 12 11 10 8 8 10 12 12 11 10 9 8 9 9 10 10 11 11 10 10 9 9 9 9 9 10 13 13 12 12 11 10 6 5 7 7 7 7 8 8 9 9 9 9 8 8 7 8 8 8 8 9 9 9 9 9 nan
nan 10 10 10 11 9 6 4 4 5 5 6 10 13 14 13 11 10 10 8 6 6 6 8 8 9 8 8 9 10 12 12 11 9 7 8 10 11 12 12 11 10 10 9 9 9 10 10 9 9 13 15 12 10 9 8 5 2 3 5 6 6 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 10 nan
nan 10 11 11 10 10 8 6 6 5 4 5 8 12 15 16 13 10 10 8 6 7 7 5 5 6 7 8 10 11 11 11 10 9 7 8 9 10 11 10 9 9 8 9 9 9 9 9 8 9 13 14 12 10 8 7 5 3 3 3 4 5 7 8 8 9 8 8 7 7 7 8 8 8 8 9 10 10 9 9 nan
nan 9 10 10 10 10 9 8 8 7 6 5 7 11 15 17 17 15 12 9 6 7 7 6 5 6 7 8 10 11 11 11 11 9 9 9 8 8 8 9 8 8 8 8 9 9 9 9 9 11 13 12 11 10 8 8 7 7 6 3 3 5 6 7 8 9 9 9 8 8 9 8 8 9 9 9 9 9 9 9 nan
nan 9 10 10 10 10 10 10 9 9 6 4 5 9 14 17 19 19 15 10 7 6 6 6 6 7 8 9 11 13 13 13 11 10 10 10 9 8 8 8 8 9 9 9 9 9 9 10 11 13 15 13 11 9 9 8 9 9 9 6 4 4 5 5 7 7 8 9 9 9 10 9 9 9 9 8 8 8 8 9 nan
nan 9 10 10 10 10 10 10 10 9 7 2 4 12 14 18 18 17 14 10 9 9 11 9 8 7 8 11 12 12 12 11 9 8 8 9 9 9 9 8 9 9 10 11 11 10 10 10 10 12 14 13 11 10 10 9 9 10 10 9 6 5 5 6 7 8 8 8 8 8 9 9 9 9 8 8 7 6 7 9 nan
nan 10 10 10 10 11 11 10 10 10 9 4 5 14 16 15 14 15 14 12 11 13 15 13 11 9 10 11 11 9 7 5 4 4 6 7 8 10 9 9 10 10 10 12 12 11 10 10 11 12 12 12 11 12 11 11 11 10 10 9 6 5 5 7 8 9 9 9 9 9 8 8 8 9 9 8 7 7 8 9 nan
nan 10 10 10 10 11 11 11 11 11 11 10 9 12 13 12 11 11 12 13 14 14 13 11 9 8 10 9 7 5 3 2 2 3 5 6 8 9 9 9 11 11 10 10 12 12 11 10 12 15 14 12 12 12 12 12 12 12 11 10 7 4 5 7 8 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 nan
nan 10 10 10 10 11 12 12 12 12 11 10 8 7 8 9 9 8 8 9 12 11 8 7 6 5 6 7 7 5 4 3 2 4 5 6 7 9 10 10 11 11 10 11 11 11 11 10 13 16 15 14 13 12 13 13 13 13 12 12 9 6 6 8 10 10 9 9 9 9 10 10 9 9 9 9 9 10 11 11 nan
nan 11 10 11 11 11 12 12 12 11 10 8 5 4 4 5 6 6 6 6 6 5 4 4 5 6 6 8 9 8 7 6 5 5 4 4 6 9 12 13 13 12 11 10 10 10 11 11 13 15 15 14 13 13 13 12 13 12 12 13 11 8 8 9 10 10 10 10 10 10 10 11 11 10 10 9 9 10 11 11 nan
nan 10 11 12 12 12 12 12 11 11 10 8 5 4 5 5 5 7 8 7 4 0 -1 3 6 8 8 7 8 8 8 7 7 6 4 3 3 8 12 13 14 14 12 10 10 9 8 9 10 12 12 12 11 11 11 11 11 12 13 12 9 8 9 10 10 9 9 10 10 10 10 11 12 12 12 12 11 11 11 12 nan
nan 10 10 11 12 12 12 12 11 11 12 10 8 6 6 6 5 8 9 8 3 -1 -0 4 8 9 8 8 7 7 7 7 8 8 5 2 1 4 8 12 14 14 12 10 9 8 7 7 8 9 9 9 9 9 9 9 10 11 12 12 9 7 10 13 12 11 11 10 10 10 10 11 12 12 13 13 14 13 14 14 nan
nan 11 11 11 13 13 12 13 12 12 12 11 9 7 5 5 4 5 6 6 3 3 6 9 12 11 8 7 7 5 6 8 9 10 10 8 6 5 7 9 10 11 10 9 8 8 7 9 10 9 8 8 9 9 9 8 9 10 11 8 6 7 11 14 14 13 13 11 10 10 11 11 12 13 13 13 13 15 15 14 nan
nan 13 12 11 13 13 13 14 14 14 12 11 8 6 4 3 2 2 3 2 2 7 14 14 13 10 6 5 5 4 5 7 9 10 11 12 11 10 8 7 7 7 6 7 7 8 8 9 10 10 9 9 9 10 8 7 7 11 11 4 3 6 10 12 13 14 14 12 11 11 12 12 14 15 15 14 13 13 14 14 nan
nan 13 12 12 11 12 14 15 15 15 13 11 8 5 3 3 2 3 4 3 5 9 13 12 10 7 5 5 4 5 5 5 6 8 9 8 10 13 11 9 7 6 5 6 8 8 8 8 9 9 9 7 6 5 3 3 9 18 14 7 5 8 11 12 13 13 13 13 13 13 13 13 14 16 15 15 14 13 13 14 nan
nan 13 13 12 12 12 14 15 15 14 12 11 8 6 3 3 4 5 7 8 9 9 9 8 8 6 4 5 6 6 5 5 6 7 9 10 12 14 15 13 10 8 7 8 8 8 8 8 8 8 5 3 3 3 5 9 21 27 19 12 10 12 15 15 15 14 13 13 13 13 13 13 13 14 13 13 14 14 13 14 nan
nan 14 14 14 13 13 14 16 15 13 11 10 8 6 4 6 8 9 11 12 11 10 11 11 9 6 5 5 7 7 5 5 6 9 11 14 15 16 17 17 15 12 9 7 6 6 6 6 6 5 2 3 7 11 18 26 32 27 19 13 14 17 17 17 17 16 14 13 12 11 11 13 14 13 12 12 13 13 13 14 nan
nan 14 15 16 16 16 15 15 15 13 11 11 9 7 6 9 11 11 12 12 13 13 14 14 11 8 5 6 7 7 6 6 8 12 14 14 13 14 15 16 16 15 10 5 1 -0 2 2 3 6 9 12 18 25 29 29 28 22 15 9 12 16 15 16 16 15 13 11 10 9 9 11 12 12 12 12 13 14 14 14 nan
nan 15 16 17 19 18 16 15 14 13 12 11 9 9 9 11 12 11 11 12 14 14 14 13 12 9 7 8 8 8 7 7 9 12 14 12 8 8 9 10 12 13 10 6 2 0 0 1 3 8 17 28 33 31 25 20 19 17 12 6 8 13 14 13 12 11 10 8 7 7 9 9 11 13 13 13 14 14 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
31 33 34 35 36 38 39 40 39 37 36 34 32 27 19 12 9 8 5 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 2 8 13 11 4 2 5 10 18 28 41 54 67 76 83 89 91 93 93 102 109 110 110 118 118 116 116 119 126 132 128 122 120 119 118 117
28 30 30 30 32 35 37 37 35 32 30 28 26 23 16 12 7 5 3 0 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 6 8 5 2 1 3 8 15 24 38 50 62 71 79 87 93 92 81 93 109 114 108 113 116 116 118 124 130 130 123 120 120 120 119 119
24 26 28 27 27 30 33 33 29 26 24 20 18 16 12 9 5 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 1 3 4 4 2 1 0 2 6 12 20 34 46 56 65 71 74 78 83 76 81 96 107 107 107 112 117 125 132 132 125 122 125 124 120 118 117
21 23 24 24 23 24 25 24 19 16 15 13 11 9 8 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 2 1 0 0 0 2 4 10 18 31 42 51 57 59 59 62 70 70 73 83 94 99 100 101 108 119 126 128 126 126 126 122 117 117 116
17 19 19 18 18 18 18 16 14 12 12 11 9 7 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 1 4 9 18 28 38 44 46 44 43 47 52 55 59 68 80 90 92 93 99 104 109 124 124 125 124 121 115 114 117
14 15 15 14 13 14 14 13 12 12 12 11 9 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 1 3 8 16 24 31 33 32 30 32 36 40 43 50 62 74 84 88 91 95 98 100 110 113 116 117 115 114 116 120
10 12 13 12 11 11 11 11 12 12 12 12 10 6 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 1 2 6 12 18 20 20 19 16 20 28 34 40 49 61 72 79 83 84 85 88 95 104 105 106 110 116 120 121 123
6 9 10 11 10 10 10 9 10 12 13 12 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 10 9 7 8 11 17 26 36 47 58 67 73 75 74 74 77 88 96 98 100 105 111 115 116 122
3 6 7 8 8 8 8 8 9 10 11 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 1 1 3 7 11 18 29 42 54 62 68 70 68 65 68 84 91 97 102 105 108 109 114 118
2 4 5 6 7 7 8 7 7 7 7 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 0 0 0 0 0 0 1 4 7 12 22 39 51 60 66 68 65 60 62 78 87 95 101 103 104 106 111 113
1 2 4 5 6 6 7 7 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 12 21 37 49 59 65 66 63 61 64 76 86 94 100 102 103 106 108 109
0 1 2 3 4 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 0 0 0 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 10 13 17 23 34 47 57 63 63 61 61 68 76 84 93 99 102 104 105 106 108
0 0 0 1 2 3 4 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 0 0 0 0 2 5 10 15 19 22 24 32 43 52 56 55 52 57 64 68 72 77 85 94 96 98 101 105
0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 10 15 19 21 22 30 39 45 45 42 40 48 52 52 51 54 62 72 78 84 90 96
0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 16 19 27 33 34 29 25 28 34 36 33 29 28 33 43 55 67 78 87
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 7 14 22 24 20 13 11 15 18 17 13 10 9 14 25 38 52 62 72
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 11 6 3 3 4 4 2 0 0 1 4 15 26 35 41 50
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 1 0 0 1 1 0 0 0 0 0 6 13 19 25 31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 17 18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 13 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 1 7 10 13 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 1 1 1 1 0 2 7 10 12 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 2 1 0 0 0 0 2 2 2 2 2 3 7 11 15 18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 7 4 2 0 0 0 1 3 4 4 4 4 4 6 10 15 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 6 6 4 2 1 1 1 2 4 5 6 6 5 5 6 9 14 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 3 3 3 2 1 1 2 3 5 7 9 9 8 7 8 10 14 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 2 1 1 0 1 1 1 1 1 1 2 3 5 8 10 12 12 11 11 12 14 18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 4 2 1 0 0 0 0 0 0 0 0 1 2 4 7 9 12 14 14 14 14 15 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 1 1 3 4 4 3 2 1 1 1 0 0 0 0 0 1 2 3 4 6 9 11 13 14 15 15 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 1 0 0 0 0 0 0 0 0 0 0 2 4 6 6 5 5 5 4 2 1 0 0 1 2 3 4 4 5 6 8 10 12 14 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 9 8 6 4 4 4 4 4 3 1 0 0 0 0 0 1 3 7 12 15 15 13 10 7 5 3 2 2 3 4 5 5 5 4 5 6 7 10 14
0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 15 16 15 12 10 9 9 8 8 5 2 0 0 0 0 0 0 2 6 14 24 27 24 19 14 11 9 7 6 5 5 6 7 7 6 6 5 6 7 11
0 0 0 0 0 0 0 0 0 0 0 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 9 13 16 18 20 22 20 19 17 15 12 9 5 2 1 0 0 0 0 0 1 4 12 25 34 34 29 23 17 14 12 10 8 8 8 8 9 9 9 9 8 9 12
0 0 0 0 0 0 0 0 0 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 4 8 11 13 13 14 17 22 27 29 29 26 22 17 12 7 4 2 1 0 0 0 0 0 2 8 20 31 37 36 31 25 21 18 15 13 11 10 10 10 11 12 13 14 15 18
0 0 0 0 0 0 0 0 0 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 8 9 8 7 8 13 21 29 33 33 30 25 19 16 11 7 5 3 2 1 0 1 2 4 7 16 25 34 38 36 31 27 23 19 17 15 13 12 12 13 14 16 19 23 27
0 0 0 0 0 0 0 0 0 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 2 2 3 3 2 1 3 8 17 27 29 27 24 20 16 13 11 9 7 6 4 3 2 3 4 7 10 15 23 31 36 37 34 31 27 23 21 18 17 15 15 15 16 20 25 30 35
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 13 24 28 24 19 15 13 10 9 8 8 7 7 6 6 7 9 11 13 18 26 32 35 36 34 32 29 26 24 22 21 19 18 18 20 24 30 35 39
0 0 0 0 0 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 4 10 24 30 29 22 15 11 9 7 7 7 8 9 9 9 11 13 15 15 20 28 34 37 37 35 34 32 30 27 25 24 23 23 23 25 28 31 35 38
0 0 0 0 1 2 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 2 4 7 14 27 34 34 27 18 12 10 8 7 8 9 9 9 10 11 12 14 14 18 25 32 36 38 38 36 34 31 29 27 27 26 26 27 28 29 30 30 32
0 0 1 2 2 2 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 4 8 12 17 26 32 32 28 21 16 12 9 7 7 8 7 7 8 8 9 9 10 13 19 26 32 36 38 37 34 31 28 28 28 28 28 29 29 29 28 28 28
1 2 3 4 4 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 3 7 11 14 19 24 28 29 26 19 12 6 4 4 3 3 4 4 5 6 6 6 8 13 18 26 31 34 34 30 28 26 26 28 29 30 30 30 29 28 27 27
3 5 5 6 6 4 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 1 3 5 6 10 17 25 31 29 17 8 3 1 1 0 0 1 1 2 2 2 4 7 12 15 21 25 26 26 24 24 24 26 28 31 33 33 31 30 29 28 28
6 6 6 5 5 4 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 1 1 4 11 20 25 22 12 4 0 0 0 0 0 0 0 0 0 0 1 4 9 13 17 20 22 21 20 22 24 28 32 36 38 37 34 32 31 30 30
7 6 5 4 4 2 2 1 1 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 1 2 4 8 13 15 11 5 2 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 20 22 22 23 25 29 35 43 47 45 40 36 32 31 30 29
6 5 5 4 4 3 2 1 0 0 0 1 1 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 5 3 2 3 5 6 7 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 18 22 26 26 28 31 35 41 51 54 50 43 36 33 30 28 25
5 6 6 6 5 4 2 1 0 1 1 1 2 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 28 35 25 15 9 8 10 11 10 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 18 24 27 28 28 29 31 38 48 54 53 48 41 36 32 24 16
6 8 8 7 6 4 2 1 1 1 1 1 1 2 3 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 25 31 26 17 10 9 10 14 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 16 19 22 23 24 24 27 34 44 51 55 54 48 41 34 24 13
6 8 8 7 6 3 2 2 2 2 2 2 2 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 4 9 10 6 2 1 2 6 13 13 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 12 14 15 16 18 19 21 27 38 47 54 57 52 44 35 25 15
6 7 7 5 4 2 1 2 2 2 2 2 2 2 3 3 3 2 0 1 1 1 0 0 0 0 0 0 1 2 2 0 0 0 1 2 2 1 0 0 0 1 7 10 10 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 14 15 16 16 16 18 24 32 41 48 52 49 43 35 27 19