n l m coefficients
4 0 0 (1.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 1 -1 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000-0.707107j) (0.707107+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 1 0 (0.000000+0.000000j) (0.000000+1.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 1 1 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.707107j) (0.707107+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 2 -2 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (-0.707107+0.000000j) (0.000000-0.707107j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 2 -1 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.707107+0.000000j) (0.000000+0.707107j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 2 0 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (-1.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 2 1 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (-0.707107+0.000000j) (0.000000+0.707107j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 2 2 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (-0.707107+0.000000j) (0.000000+0.707107j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 3 -3 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.707107j) (-0.707107+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 3 -2 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000-0.707107j) (0.707107+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 3 -1 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.707107j) (-0.707107+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 3 0 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (-0.000000-1.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 3 1 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000-0.707107j) (-0.707107+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 3 2 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000-0.707107j) (-0.707107+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 3 3 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000-0.707107j) (-0.707107+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 4 -4 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.707107+0.000000j) (0.000000+0.707107j) 
4 4 -3 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (-0.707107+0.000000j) (0.000000-0.707107j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 4 -2 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.707107+0.000000j) (0.000000+0.707107j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 4 -1 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (-0.707107+0.000000j) (0.000000-0.707107j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 4 0 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (1.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 4 1 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.707107+0.000000j) (0.000000-0.707107j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 4 2 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.707107+0.000000j) (0.000000-0.707107j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 4 3 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.707107+0.000000j) (0.000000-0.707107j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 4 4 (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) (0.707107+0.000000j) (0.000000-0.707107j) 
