C5 Character Table

C5 E C5 C52 C53 C54 Linear
Functions
Quadratic
Functions
A 1 1 1 1 1 z, Rz x2 + y2, z2
E1 1 ε ε2 ε2* ε* (x,y), (Rx,Ry) (xz,yz)
1 ε* ε2* ε2 ε
E2 1 ε2 ε* ε ε2*   (x2 - y2,xy)
1 ε2* ε ε* ε2

ε = e(2πi)/5, ε* = e(2π-i)/5
i = -1½



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