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Character table for D5d point group

E 2C5 2(C5)2 5C'2 i 2(S10)3 2S10 d linear,
rotations
quadratic
A1g 1 1 1 1 1 1 1 1 x2+y2, z2
A2g 1 1 1 -1 1 1 1 -1 Rz
E1g 2 2cos(2π/5) 2cos(4π/5) 0 2 2cos(2π/5) 2cos(4π/5) 0 (Rx, Ry) (xz, yz)
E2g 2 2cos(4π/5) 2cos(2π/5) 0 2 2cos(4π/5) 2cos(2π/5) 0 (x2-y2, xy)
A1u 1 1 1 1 -1 -1 -1 -1
A2u 1 1 1 -1 -1 -1 -1 1 z
E1u 2 2cos(2π/5) 2cos(4π/5) 0 -2 -2cos(2π/5) -2cos(4π/5) 0 (x, y)
E2u 2 2cos(4π/5) 2cos(2π/5) 0 -2 -2cos(4π/5) -2cos(2π/5) 0

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