n l m coefficients
4 0 0 (0.447214+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) (0.000000-0.387298j) (0.387298+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 1 0 (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+0.387298j) (0.387298+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) (-0.377964+0.000000j) (0.000000-0.377964j) 
4 2 -1 (0.000000+0.000000j) (-0.000000-0.188982j) (0.188982+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 2 0 (-0.534522+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) (-0.000000-0.188982j) (-0.188982+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) (-0.377964+0.000000j) (0.000000+0.377964j) 
4 3 -3 (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) (-0.500000+0.000000j) (0.000000-0.500000j) 
4 3 -1 (0.000000+0.000000j) (0.000000+0.316228j) (-0.316228+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) 
4 3 1 (0.000000+0.000000j) (0.000000-0.316228j) (-0.316228+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) (0.500000+0.000000j) (0.000000-0.500000j) 
4 3 3 (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) 
4 4 -3 (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) (-0.327327+0.000000j) (-0.000000-0.327327j) 
4 4 -1 (0.000000+0.000000j) (-0.000000+0.462910j) (-0.462910+0.000000j) (0.000000+0.000000j) (0.000000+0.000000j) 
4 4 0 (0.717137+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+0.462910j) (0.462910+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) (-0.327327+0.000000j) (-0.000000+0.327327j) 
4 4 3 (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) 
