Representation dim5 of group A5

The group A5 consists of all elements of the form g1a g2ab g2bc g3d where g1=[2,3,1,4,5], g2a=[2,1,4,3,5], g2b=[3,4,1,2,5], and g3=[2,3,4,5,1].

Below are the values of representation dim5 on these elements: (The version below is not orthogonal, though it of course can be made so.)