E Representations in Point Group C30h

ε=exp(2πi/30)
C_30h		E	C₃₀	C₁₅	C₁₀	(C₁₅)²	C₆	C₅	(C₃₀)⁷	(C₁₅)⁴	(C₁₀)³	C₃	(C₃₀)¹¹	(C₅)²	(C₃₀)¹³	(C₁₅)⁷	C₂	(C₁₅)⁸	(C₃₀)¹⁷	(C₅)³	(C₃₀)¹⁹	(C₃)²	(C₁₀)⁷	(C₁₅)¹¹	(C₃₀)²³	(C₅)⁴	(C₆)⁵	(C₁₅)¹³	(C₁₀)⁹	(C₁₅)¹⁴	(C₃₀)²⁹	i	(S₁₅)²³	(S₃₀)¹⁷	(S₅)³	(S₃₀)¹⁹	(S₃)⁵	(S₁₀)⁷	(S₁₅)¹¹	(S₃₀)²³	(S₅)⁹	(S₆)⁵	(S₁₅)¹³	(S₁₀)⁹	(S₁₅)²⁹	(S₃₀)²⁹	σ_h	S₃₀	S₁₅	S₁₀	(S₁₅)¹⁷	S₆	S₅	(S₃₀)⁷	(S₁₅)¹⁹	(S₁₀)³	S₃	(S₃₀)¹¹	(S₅)⁷	(S₃₀)¹³	(S₁₅)⁷
	A_g	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
	B_g	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1
E_1g	E_1g,a E_1g,b	1 1	ε^* ε^*	ε^2* ε^2*	ε^3* ε^3*	ε^4* ε^4*	ε^5* ε^5*	ε^6* ε^6*	ε^7* ε^7*	-ε^7* -ε^7*	-ε^6* -ε^6*	-ε^5* -ε^5*	-ε^4* -ε^4*	-ε^3* -ε^3*	-ε^2* -ε^2*	-ε^* -ε^*	-1 -1	-ε^* -ε^*	-ε^2* -ε^2*	-ε^3* -ε^3*	-ε^4* -ε^4*	-ε^5* -ε^5*	-ε^6* -ε^6*	-ε^7* -ε^7*	ε^7* ε^7*	ε^6* ε^6*	ε^5* ε^5*	ε^4* ε^4*	ε^3* ε^3*	ε^2* ε^2*	ε^* ε^*	1 1	ε^* ε^*	ε^2* ε^2*	ε^3* ε^3*	ε^4* ε^4*	ε^5* ε^5*	ε^6* ε^6*	ε^7* ε^7*	-ε^7* -ε^7*	-ε^6* -ε^6*	-ε^5* -ε^5*	-ε^4* -ε^4*	-ε^3* -ε^3*	-ε^2* -ε^2*	-ε^* -ε^*	-1 -1	-ε^* -ε^*	-ε^2* -ε^2*	-ε^3* -ε^3*	-ε^4* -ε^4*	-ε^5* -ε^5*	-ε^6* -ε^6*	-ε^7* -ε^7*	ε^7* ε^7*	ε^6* ε^6*	ε^5* ε^5*	ε^4* ε^4*	ε^3* ε^3*	ε^2* ε^2*	ε^* ε^*
E_2g	E_2g,a E_2g,b	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^5* -ε^5*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^5* -ε^5*	-ε^7* -ε^7*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^5* -ε^5*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^5* -ε^5*	-ε^7* -ε^7*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^5* -ε^5*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^5* -ε^5*	-ε^7* -ε^7*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^5* -ε^5*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^5* -ε^5*	-ε^7* -ε^7*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*
E_3g	E_3g,a E_3g,b	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*
E_4g	E_4g,a E_4g,b	1 1	ε^4* ε^4*	-ε^7* -ε^7*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^5* -ε^5*	ε^6* ε^6*	ε^2* ε^2*	ε^2* ε^2*	ε^6* ε^6*	-ε^5* -ε^5*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^7* -ε^7*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^7* -ε^7*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^5* -ε^5*	ε^6* ε^6*	ε^2* ε^2*	ε^2* ε^2*	ε^6* ε^6*	-ε^5* -ε^5*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^7* -ε^7*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^7* -ε^7*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^5* -ε^5*	ε^6* ε^6*	ε^2* ε^2*	ε^2* ε^2*	ε^6* ε^6*	-ε^5* -ε^5*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^7* -ε^7*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^7* -ε^7*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^5* -ε^5*	ε^6* ε^6*	ε^2* ε^2*	ε^2* ε^2*	ε^6* ε^6*	-ε^5* -ε^5*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^7* -ε^7*	ε^4* ε^4*
E_5g	E_5g,a E_5g,b	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*
E_6g	E_6g,a E_6g,b	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*
E_7g	E_7g,a E_7g,b	1 1	ε^7* ε^7*	-ε^* -ε^*	-ε^6* -ε^6*	ε^2* ε^2*	ε^5* ε^5*	-ε^3* -ε^3*	-ε^4* -ε^4*	ε^4* ε^4*	ε^3* ε^3*	-ε^5* -ε^5*	-ε^2* -ε^2*	ε^6* ε^6*	ε^* ε^*	-ε^7* -ε^7*	-1 -1	-ε^7* -ε^7*	ε^* ε^*	ε^6* ε^6*	-ε^2* -ε^2*	-ε^5* -ε^5*	ε^3* ε^3*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^3* -ε^3*	ε^5* ε^5*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^* -ε^*	ε^7* ε^7*	1 1	ε^7* ε^7*	-ε^* -ε^*	-ε^6* -ε^6*	ε^2* ε^2*	ε^5* ε^5*	-ε^3* -ε^3*	-ε^4* -ε^4*	ε^4* ε^4*	ε^3* ε^3*	-ε^5* -ε^5*	-ε^2* -ε^2*	ε^6* ε^6*	ε^* ε^*	-ε^7* -ε^7*	-1 -1	-ε^7* -ε^7*	ε^* ε^*	ε^6* ε^6*	-ε^2* -ε^2*	-ε^5* -ε^5*	ε^3* ε^3*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^3* -ε^3*	ε^5* ε^5*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^* -ε^*	ε^7* ε^7*
E_8g	E_8g,a E_8g,b	1 1	-ε^7* -ε^7*	-ε^* -ε^*	ε^6* ε^6*	ε^2* ε^2*	-ε^5* -ε^5*	-ε^3* -ε^3*	ε^4* ε^4*	ε^4* ε^4*	-ε^3* -ε^3*	-ε^5* -ε^5*	ε^2* ε^2*	ε^6* ε^6*	-ε^* -ε^*	-ε^7* -ε^7*	1 1	-ε^7* -ε^7*	-ε^* -ε^*	ε^6* ε^6*	ε^2* ε^2*	-ε^5* -ε^5*	-ε^3* -ε^3*	ε^4* ε^4*	ε^4* ε^4*	-ε^3* -ε^3*	-ε^5* -ε^5*	ε^2* ε^2*	ε^6* ε^6*	-ε^* -ε^*	-ε^7* -ε^7*	1 1	-ε^7* -ε^7*	-ε^* -ε^*	ε^6* ε^6*	ε^2* ε^2*	-ε^5* -ε^5*	-ε^3* -ε^3*	ε^4* ε^4*	ε^4* ε^4*	-ε^3* -ε^3*	-ε^5* -ε^5*	ε^2* ε^2*	ε^6* ε^6*	-ε^* -ε^*	-ε^7* -ε^7*	1 1	-ε^7* -ε^7*	-ε^* -ε^*	ε^6* ε^6*	ε^2* ε^2*	-ε^5* -ε^5*	-ε^3* -ε^3*	ε^4* ε^4*	ε^4* ε^4*	-ε^3* -ε^3*	-ε^5* -ε^5*	ε^2* ε^2*	ε^6* ε^6*	-ε^* -ε^*	-ε^7* -ε^7*
E_9g	E_9g,a E_9g,b	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*
E_10g	E_10g,a E_10g,b	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*
E_11g	E_11g,a E_11g,b	1 1	-ε^4* -ε^4*	-ε^7* -ε^7*	ε^3* ε^3*	-ε^* -ε^*	ε^5* ε^5*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^5* -ε^5*	ε^* ε^*	-ε^3* -ε^3*	ε^7* ε^7*	ε^4* ε^4*	-1 -1	ε^4* ε^4*	ε^7* ε^7*	-ε^3* -ε^3*	ε^* ε^*	-ε^5* -ε^5*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^5* ε^5*	-ε^* -ε^*	ε^3* ε^3*	-ε^7* -ε^7*	-ε^4* -ε^4*	1 1	-ε^4* -ε^4*	-ε^7* -ε^7*	ε^3* ε^3*	-ε^* -ε^*	ε^5* ε^5*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^5* -ε^5*	ε^* ε^*	-ε^3* -ε^3*	ε^7* ε^7*	ε^4* ε^4*	-1 -1	ε^4* ε^4*	ε^7* ε^7*	-ε^3* -ε^3*	ε^* ε^*	-ε^5* -ε^5*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^5* ε^5*	-ε^* -ε^*	ε^3* ε^3*	-ε^7* -ε^7*	-ε^4* -ε^4*
E_12g	E_12g,a E_12g,b	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*
E_13g	E_13g,a E_13g,b	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^7* -ε^7*	ε^5* ε^5*	-ε^3* -ε^3*	ε^* ε^*	-ε^* -ε^*	ε^3* ε^3*	-ε^5* -ε^5*	ε^7* ε^7*	ε^6* ε^6*	-ε^4* -ε^4*	ε^2* ε^2*	-1 -1	ε^2* ε^2*	-ε^4* -ε^4*	ε^6* ε^6*	ε^7* ε^7*	-ε^5* -ε^5*	ε^3* ε^3*	-ε^* -ε^*	ε^* ε^*	-ε^3* -ε^3*	ε^5* ε^5*	-ε^7* -ε^7*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^7* -ε^7*	ε^5* ε^5*	-ε^3* -ε^3*	ε^* ε^*	-ε^* -ε^*	ε^3* ε^3*	-ε^5* -ε^5*	ε^7* ε^7*	ε^6* ε^6*	-ε^4* -ε^4*	ε^2* ε^2*	-1 -1	ε^2* ε^2*	-ε^4* -ε^4*	ε^6* ε^6*	ε^7* ε^7*	-ε^5* -ε^5*	ε^3* ε^3*	-ε^* -ε^*	ε^* ε^*	-ε^3* -ε^3*	ε^5* ε^5*	-ε^7* -ε^7*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*
E_14g	E_14g,a E_14g,b	1 1	-ε^* -ε^*	ε^2* ε^2*	-ε^3* -ε^3*	ε^4* ε^4*	-ε^5* -ε^5*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^7* -ε^7*	ε^6* ε^6*	-ε^5* -ε^5*	ε^4* ε^4*	-ε^3* -ε^3*	ε^2* ε^2*	-ε^* -ε^*	1 1	-ε^* -ε^*	ε^2* ε^2*	-ε^3* -ε^3*	ε^4* ε^4*	-ε^5* -ε^5*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^7* -ε^7*	ε^6* ε^6*	-ε^5* -ε^5*	ε^4* ε^4*	-ε^3* -ε^3*	ε^2* ε^2*	-ε^* -ε^*	1 1	-ε^* -ε^*	ε^2* ε^2*	-ε^3* -ε^3*	ε^4* ε^4*	-ε^5* -ε^5*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^7* -ε^7*	ε^6* ε^6*	-ε^5* -ε^5*	ε^4* ε^4*	-ε^3* -ε^3*	ε^2* ε^2*	-ε^* -ε^*	1 1	-ε^* -ε^*	ε^2* ε^2*	-ε^3* -ε^3*	ε^4* ε^4*	-ε^5* -ε^5*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^7* -ε^7*	ε^6* ε^6*	-ε^5* -ε^5*	ε^4* ε^4*	-ε^3* -ε^3*	ε^2* ε^2*	-ε^* -ε^*
	A_u	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
	B_u	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1
E_1u	E_1u,a E_1u,b	1 1	ε^* ε^*	ε^2* ε^2*	ε^3* ε^3*	ε^4* ε^4*	ε^5* ε^5*	ε^6* ε^6*	ε^7* ε^7*	-ε^7* -ε^7*	-ε^6* -ε^6*	-ε^5* -ε^5*	-ε^4* -ε^4*	-ε^3* -ε^3*	-ε^2* -ε^2*	-ε^* -ε^*	-1 -1	-ε^* -ε^*	-ε^2* -ε^2*	-ε^3* -ε^3*	-ε^4* -ε^4*	-ε^5* -ε^5*	-ε^6* -ε^6*	-ε^7* -ε^7*	ε^7* ε^7*	ε^6* ε^6*	ε^5* ε^5*	ε^4* ε^4*	ε^3* ε^3*	ε^2* ε^2*	ε^* ε^*	-1 -1	-ε^* -ε^*	-ε^2* -ε^2*	-ε^3* -ε^3*	-ε^4* -ε^4*	-ε^5* -ε^5*	-ε^6* -ε^6*	-ε^7* -ε^7*	ε^7* ε^7*	ε^6* ε^6*	ε^5* ε^5*	ε^4* ε^4*	ε^3* ε^3*	ε^2* ε^2*	ε^* ε^*	1 1	ε^* ε^*	ε^2* ε^2*	ε^3* ε^3*	ε^4* ε^4*	ε^5* ε^5*	ε^6* ε^6*	ε^7* ε^7*	-ε^7* -ε^7*	-ε^6* -ε^6*	-ε^5* -ε^5*	-ε^4* -ε^4*	-ε^3* -ε^3*	-ε^2* -ε^2*	-ε^* -ε^*
E_2u	E_2u,a E_2u,b	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^5* -ε^5*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^5* -ε^5*	-ε^7* -ε^7*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^5* -ε^5*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^5* -ε^5*	-ε^7* -ε^7*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	-1 -1	-ε^2* -ε^2*	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^7* ε^7*	ε^5* ε^5*	ε^3* ε^3*	ε^* ε^*	ε^* ε^*	ε^3* ε^3*	ε^5* ε^5*	ε^7* ε^7*	-ε^6* -ε^6*	-ε^4* -ε^4*	-ε^2* -ε^2*	-1 -1	-ε^2* -ε^2*	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^7* ε^7*	ε^5* ε^5*	ε^3* ε^3*	ε^* ε^*	ε^* ε^*	ε^3* ε^3*	ε^5* ε^5*	ε^7* ε^7*	-ε^6* -ε^6*	-ε^4* -ε^4*	-ε^2* -ε^2*
E_3u	E_3u,a E_3u,b	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^3* -ε^3*
E_4u	E_4u,a E_4u,b	1 1	ε^4* ε^4*	-ε^7* -ε^7*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^5* -ε^5*	ε^6* ε^6*	ε^2* ε^2*	ε^2* ε^2*	ε^6* ε^6*	-ε^5* -ε^5*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^7* -ε^7*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^7* -ε^7*	-ε^3* -ε^3*	-ε^* -ε^*	-ε^5* -ε^5*	ε^6* ε^6*	ε^2* ε^2*	ε^2* ε^2*	ε^6* ε^6*	-ε^5* -ε^5*	-ε^* -ε^*	-ε^3* -ε^3*	-ε^7* -ε^7*	ε^4* ε^4*	-1 -1	-ε^4* -ε^4*	ε^7* ε^7*	ε^3* ε^3*	ε^* ε^*	ε^5* ε^5*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^5* ε^5*	ε^* ε^*	ε^3* ε^3*	ε^7* ε^7*	-ε^4* -ε^4*	-1 -1	-ε^4* -ε^4*	ε^7* ε^7*	ε^3* ε^3*	ε^* ε^*	ε^5* ε^5*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^5* ε^5*	ε^* ε^*	ε^3* ε^3*	ε^7* ε^7*	-ε^4* -ε^4*
E_5u	E_5u,a E_5u,b	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^5* -ε^5*
E_6u	E_6u,a E_6u,b	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^3* -ε^3*	-ε^3* -ε^3*	ε^6* ε^6*	-1 -1	-ε^6* -ε^6*	ε^3* ε^3*	ε^3* ε^3*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^3* ε^3*	ε^3* ε^3*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^3* ε^3*	ε^3* ε^3*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^3* ε^3*	ε^3* ε^3*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^3* ε^3*	ε^3* ε^3*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^3* ε^3*	ε^3* ε^3*	-ε^6* -ε^6*
E_7u	E_7u,a E_7u,b	1 1	ε^7* ε^7*	-ε^* -ε^*	-ε^6* -ε^6*	ε^2* ε^2*	ε^5* ε^5*	-ε^3* -ε^3*	-ε^4* -ε^4*	ε^4* ε^4*	ε^3* ε^3*	-ε^5* -ε^5*	-ε^2* -ε^2*	ε^6* ε^6*	ε^* ε^*	-ε^7* -ε^7*	-1 -1	-ε^7* -ε^7*	ε^* ε^*	ε^6* ε^6*	-ε^2* -ε^2*	-ε^5* -ε^5*	ε^3* ε^3*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^3* -ε^3*	ε^5* ε^5*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^* -ε^*	ε^7* ε^7*	-1 -1	-ε^7* -ε^7*	ε^* ε^*	ε^6* ε^6*	-ε^2* -ε^2*	-ε^5* -ε^5*	ε^3* ε^3*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^3* -ε^3*	ε^5* ε^5*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^* -ε^*	ε^7* ε^7*	1 1	ε^7* ε^7*	-ε^* -ε^*	-ε^6* -ε^6*	ε^2* ε^2*	ε^5* ε^5*	-ε^3* -ε^3*	-ε^4* -ε^4*	ε^4* ε^4*	ε^3* ε^3*	-ε^5* -ε^5*	-ε^2* -ε^2*	ε^6* ε^6*	ε^* ε^*	-ε^7* -ε^7*
E_8u	E_8u,a E_8u,b	1 1	-ε^7* -ε^7*	-ε^* -ε^*	ε^6* ε^6*	ε^2* ε^2*	-ε^5* -ε^5*	-ε^3* -ε^3*	ε^4* ε^4*	ε^4* ε^4*	-ε^3* -ε^3*	-ε^5* -ε^5*	ε^2* ε^2*	ε^6* ε^6*	-ε^* -ε^*	-ε^7* -ε^7*	1 1	-ε^7* -ε^7*	-ε^* -ε^*	ε^6* ε^6*	ε^2* ε^2*	-ε^5* -ε^5*	-ε^3* -ε^3*	ε^4* ε^4*	ε^4* ε^4*	-ε^3* -ε^3*	-ε^5* -ε^5*	ε^2* ε^2*	ε^6* ε^6*	-ε^* -ε^*	-ε^7* -ε^7*	-1 -1	ε^7* ε^7*	ε^* ε^*	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^5* ε^5*	ε^3* ε^3*	-ε^4* -ε^4*	-ε^4* -ε^4*	ε^3* ε^3*	ε^5* ε^5*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^* ε^*	ε^7* ε^7*	-1 -1	ε^7* ε^7*	ε^* ε^*	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^5* ε^5*	ε^3* ε^3*	-ε^4* -ε^4*	-ε^4* -ε^4*	ε^3* ε^3*	ε^5* ε^5*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^* ε^*	ε^7* ε^7*
E_9u	E_9u,a E_9u,b	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^3* ε^3*	-ε^3* -ε^3*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^3* ε^3*	ε^6* ε^6*
E_10u	E_10u,a E_10u,b	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^5* -ε^5*	-1 -1	ε^5* ε^5*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^5* ε^5*
E_11u	E_11u,a E_11u,b	1 1	-ε^4* -ε^4*	-ε^7* -ε^7*	ε^3* ε^3*	-ε^* -ε^*	ε^5* ε^5*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^5* -ε^5*	ε^* ε^*	-ε^3* -ε^3*	ε^7* ε^7*	ε^4* ε^4*	-1 -1	ε^4* ε^4*	ε^7* ε^7*	-ε^3* -ε^3*	ε^* ε^*	-ε^5* -ε^5*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^5* ε^5*	-ε^* -ε^*	ε^3* ε^3*	-ε^7* -ε^7*	-ε^4* -ε^4*	-1 -1	ε^4* ε^4*	ε^7* ε^7*	-ε^3* -ε^3*	ε^* ε^*	-ε^5* -ε^5*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^5* ε^5*	-ε^* -ε^*	ε^3* ε^3*	-ε^7* -ε^7*	-ε^4* -ε^4*	1 1	-ε^4* -ε^4*	-ε^7* -ε^7*	ε^3* ε^3*	-ε^* -ε^*	ε^5* ε^5*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^5* -ε^5*	ε^* ε^*	-ε^3* -ε^3*	ε^7* ε^7*	ε^4* ε^4*
E_12u	E_12u,a E_12u,b	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^6* ε^6*	-ε^3* -ε^3*	-1 -1	ε^3* ε^3*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^3* ε^3*	-1 -1	ε^3* ε^3*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^3* ε^3*	-1 -1	ε^3* ε^3*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^3* ε^3*	-1 -1	ε^3* ε^3*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^3* ε^3*	-1 -1	ε^3* ε^3*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^3* ε^3*	-1 -1	ε^3* ε^3*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^3* ε^3*
E_13u	E_13u,a E_13u,b	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^7* -ε^7*	ε^5* ε^5*	-ε^3* -ε^3*	ε^* ε^*	-ε^* -ε^*	ε^3* ε^3*	-ε^5* -ε^5*	ε^7* ε^7*	ε^6* ε^6*	-ε^4* -ε^4*	ε^2* ε^2*	-1 -1	ε^2* ε^2*	-ε^4* -ε^4*	ε^6* ε^6*	ε^7* ε^7*	-ε^5* -ε^5*	ε^3* ε^3*	-ε^* -ε^*	ε^* ε^*	-ε^3* -ε^3*	ε^5* ε^5*	-ε^7* -ε^7*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	-1 -1	ε^2* ε^2*	-ε^4* -ε^4*	ε^6* ε^6*	ε^7* ε^7*	-ε^5* -ε^5*	ε^3* ε^3*	-ε^* -ε^*	ε^* ε^*	-ε^3* -ε^3*	ε^5* ε^5*	-ε^7* -ε^7*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^7* -ε^7*	ε^5* ε^5*	-ε^3* -ε^3*	ε^* ε^*	-ε^* -ε^*	ε^3* ε^3*	-ε^5* -ε^5*	ε^7* ε^7*	ε^6* ε^6*	-ε^4* -ε^4*	ε^2* ε^2*
E_14u	E_14u,a E_14u,b	1 1	-ε^* -ε^*	ε^2* ε^2*	-ε^3* -ε^3*	ε^4* ε^4*	-ε^5* -ε^5*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^7* -ε^7*	ε^6* ε^6*	-ε^5* -ε^5*	ε^4* ε^4*	-ε^3* -ε^3*	ε^2* ε^2*	-ε^* -ε^*	1 1	-ε^* -ε^*	ε^2* ε^2*	-ε^3* -ε^3*	ε^4* ε^4*	-ε^5* -ε^5*	ε^6* ε^6*	-ε^7* -ε^7*	-ε^7* -ε^7*	ε^6* ε^6*	-ε^5* -ε^5*	ε^4* ε^4*	-ε^3* -ε^3*	ε^2* ε^2*	-ε^* -ε^*	-1 -1	ε^* ε^*	-ε^2* -ε^2*	ε^3* ε^3*	-ε^4* -ε^4*	ε^5* ε^5*	-ε^6* -ε^6*	ε^7* ε^7*	ε^7* ε^7*	-ε^6* -ε^6*	ε^5* ε^5*	-ε^4* -ε^4*	ε^3* ε^3*	-ε^2* -ε^2*	ε^* ε^*	-1 -1	ε^* ε^*	-ε^2* -ε^2*	ε^3* ε^3*	-ε^4* -ε^4*	ε^5* ε^5*	-ε^6* -ε^6*	ε^7* ε^7*	ε^7* ε^7*	-ε^6* -ε^6*	ε^5* ε^5*	-ε^4* -ε^4*	ε^3* ε^3*	-ε^2* -ε^2*	ε^* ε^*

Note on E representations in
C_30h character table

h = ∑ Χ_i(E) Χ_i(E)

c_i = 1/h ∑_R n_R χ_i(R)^irred χ(R)^red

c_i(E) = 1/(2h) ∑_R n_R χ_i(R)^irred χ(R)^red = (∑_R n_R χ_i(R)^irred χ(R)^red) / (∑_R n_R χ_i(R)^irred χ_i(R)^irred)

Note on E representations inC30h character table

h = ∑ Χi(E) Χi(E)

ci = 1/h ∑R nR χi(R)irred χ(R)red

ci(E) = 1/(2h) ∑R nR χi(R)irred χ(R)red = (∑R nR χi(R)irred χ(R)red) / (∑R nR χi(R)irred χi(R)irred)

Note on E representations in
C_30h character table

h = ∑ Χ_i(E) Χ_i(E)

c_i = 1/h ∑_R n_R χ_i(R)^irred χ(R)^red

c_i(E) = 1/(2h) ∑_R n_R χ_i(R)^irred χ(R)^red = (∑_R n_R χ_i(R)^irred χ(R)^red) / (∑_R n_R χ_i(R)^irred χ_i(R)^irred)