Character Tables

C₃ Character Table

C₃	E	C₃	C₃²	Linear Functions	Quadratic Functions
A	1	1	1	z, R_z	x² + y², z²
E	1	ε	ε*	(x,y), (R_x,R_y)	(x² - y²,xy), (xz,yz)
E	1	ε*	ε	(x,y), (R_x,R_y)	(x² - y²,xy), (xz,yz)

ε = e^(2πi)/3, ε* = e^(2π-i)/3
i = -1^½

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