quat.symm.cubic        file with 24 proper rotations in quaternion form
24
   0    0    0    1
   1    0    0    0
   0    1    0    0
   0    0    1    0
   0.707107    0    0    0.707107
    0   0.707107    0    0.707107
    0    0   0.707107    0.707107
   -0.707107    0    0    0.707107
    0   -0.707107    0    0.707107
    0    0   -0.707107    0.707107
   0.707107    0.707107    0    0
  -0.707107    0.707107    0    0
    0   0.707107    0.707107    0
    0  -0.707107    0.707107    0
    0.707107    0    0.707107    0
   -0.707107    0    0.707107    0
    0.5  0.5  0.5  0.5
   -0.5 -0.5 -0.5  0.5
    0.5 -0.5  0.5  0.5
   -0.5  0.5 -0.5  0.5
    -0.5  0.5  0.5  0.5
    0.5 -0.5 -0.5  0.5
    -0.5 -0.5  0.5  0.5
     0.5  0.5 -0.5  0.5