n l m coefficients
2 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) 
2 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) 
2 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) 
2 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) 
2 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) 
2 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) 
2 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) 
2 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) 
2 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) 
