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Character table for C5h point group

E C5 (C5)2 (C5)3 (C5)4 σh S5 (S5)7 (S5)3 (S5)9 linear,
rotations		 quadratic
A' 1 1 1 1 1 1 1 1 1 1 Rz x2+y2, z2
E'1 1
1		 e
e*		 e2
e2*		 e2*
e2		 e*
e		 1
1		 e
e*		e2
e2*		e2*
e2		e*
e		x+iy
x-iy
E'2 1
1		 e2
e2*		 e*
e		 e
e*		 e2*
e2		 1
1		 e2
e2*		e*
e		e
e*		e2*
e2		 (x2-y2, xy)
A'' 1 1 1 1 1 -1 -1 -1 -1 -1 z
E''1 1
1		 e
e*		 e2
e2*		 e2*
e2		 e*
e		 -1
-1		 -e
-e*		-e2
-e2*		-e2*
-e2		-e*
-e		Rx+iRy
Rx-iRy		 (xz, yz)
E''2 1
1		 e2
e2*		 e*
e		 e
e*		 e2*
e2		 -1
-1		 -e2
-e2*		-e*
-e		-e
-e*		-e2*
-e2

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