double letter_i[] = {
0.064721, 0.397047,
0.084359, 0.392005,
0.106181, 0.384591,
0.125922, 0.375744,
0.142219, 0.366343,
0.154761, 0.356927,
0.163984, 0.347651,
0.170804, 0.338367,
0.175946, 0.328809,
0.179775, 0.318644,
0.182339, 0.307542,
0.177591, 0.258003,
0.148165, 0.224480,
0.111786, 0.209128,
0.092304, 0.197781,
0.091241, 0.194700,
0.110808, 0.181851,
0.144725, 0.163438,
0.168692, 0.140330,
0.174015, 0.027886,
0.174833, -0.060661,
0.175642, -0.162698,
0.176388, -0.255385,
0.176999, -0.322609,
0.177447, -0.361523,
0.176470, -0.404438,
0.156498, -0.440912,
0.128113, -0.461851,
0.079571, -0.474461,
0.032029, -0.476380,
-0.006020, -0.470540,
-0.051020, -0.453217,
-0.078452, -0.436259,
-0.088338, -0.425531,
-0.099007, -0.405238,
-0.104707, -0.324290,
-0.104555, -0.251683,
-0.104249, -0.160428,
-0.103978, -0.069679,
-0.103846, 0.002851,
-0.103784, 0.050585,
-0.103546, 0.078313,
-0.101804, 0.106063,
-0.086488, 0.143888,
-0.047079, 0.166131,
-0.007868, 0.197018,
-0.056347, 0.222110,
-0.084005, 0.244999,
-0.094406, 0.286331,
-0.090557, 0.322635,
-0.086423, 0.332826,
-0.081092, 0.342019,
-0.074727, 0.350617,
-0.067183, 0.359181,
-0.057354, 0.368154,
-0.043032, 0.377802,
-0.021385, 0.387927,
0.009406, 0.396920,
0.051950, 0.399662,

};