Group #13147124 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄	C₂₅	C₂₆	C₂₇	C₂₈	C₂₉	C₃₀	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆	C₅₇
size	1	2	2	2	2	3	4	6	6	6	6	8	8	8	8	12	12	12	12	12	12	12	12	12	12	16	16	16	16	24	24	24	24	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	36	36	108	108	144	144	144	144
order	1	3	9	9	9	2	2	6	18	18	18	6	18	18	18	2	4	12	12	36	36	36	36	36	36	3	3	6	6	6	18	18	18	3	3	6	6	9	9	9	9	9	9	18	18	18	18	18	18	2	2	4	4	6	6	6	6
χ₁	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
χ₂	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
χ₃	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₄	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₅	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₆	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₇	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
χ₈	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
χ₉	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	-1	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₀	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	1	-1	1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₁	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	-1	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₂	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	1	-1	1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₃	2	2	-1	-1	-1	2	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₄	2	2	-1	-1	-1	2	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	2	-1	-1	-1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₁₅	2	2	-1	-1	-1	2	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	2	-1	-1	-1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₁₆	2	2	-1	-1	-1	2	-2	2	-1	-1	-1	-2	1	1	1	-2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-2	-2	-2	1	1	1	2	2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₇	2	2	-1	-1	-1	2	-2	2	-1	-1	-1	-2	1	1	1	-2	2	2	2	-1	-1	-1	-1	-1	-1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	-2	1	1	1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₁₈	2	2	-1	-1	-1	2	-2	2	-1	-1	-1	-2	1	1	1	-2	2	2	2	-1	-1	-1	-1	-1	-1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	-2	1	1	1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₁₉	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	2	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	2	2	-1	-1	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	2	2	2	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	-1	-1	-1	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	0	0	0	0	0	0	0	0
χ₂₀	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	2	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	2	2	-1	-1	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ²+ζ⁴	ζ+ζ⁵	ζ⁷+ζ⁸	ζ⁵+ζ⁷	ζ⁴+ζ⁸	ζ+ζ²	ζ²+ζ⁴	ζ+ζ⁵	ζ⁷+ζ⁸	ζ⁵+ζ⁷	ζ⁴+ζ⁸	ζ+ζ²	0	0	0	0	0	0	0	0
χ₂₁	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	2	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	2	2	-1	-1	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁵+ζ⁷	ζ⁴+ζ⁸	ζ+ζ²	ζ²+ζ⁴	ζ+ζ⁵	ζ⁷+ζ⁸	ζ⁵+ζ⁷	ζ⁴+ζ⁸	ζ+ζ²	ζ²+ζ⁴	ζ+ζ⁵	ζ⁷+ζ⁸	0	0	0	0	0	0	0	0
χ₂₂	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	2	-2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	1	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	-2	2	-1	-1	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	2	2	-2	-2	1	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	-1	-1	1	1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	0	0	0	0	0	0	0	0
χ₂₃	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	2	-2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	1	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	-2	2	-1	-1	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	1	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²+ζ⁴	ζ+ζ⁵	ζ⁷+ζ⁸	ζ⁵+ζ⁷	ζ⁴+ζ⁸	ζ+ζ²	−ζ²−ζ⁴	−ζ−ζ⁵	−ζ⁷−ζ⁸	−ζ⁵−ζ⁷	−ζ⁴−ζ⁸	−ζ−ζ²	0	0	0	0	0	0	0	0
χ₂₄	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	2	-2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	1	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	-2	2	-1	-1	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	1	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁵+ζ⁷	ζ⁴+ζ⁸	ζ+ζ²	ζ²+ζ⁴	ζ+ζ⁵	ζ⁷+ζ⁸	−ζ⁵−ζ⁷	−ζ⁴−ζ⁸	−ζ−ζ²	−ζ²−ζ⁴	−ζ−ζ⁵	−ζ⁷−ζ⁸	0	0	0	0	0	0	0	0
χ₂₅	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	2	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	2	2	-1	-1	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	2	2	2	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	-1	-1	-1	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	0	0	0	0	0	0	0	0
χ₂₆	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	2	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	2	2	-1	-1	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ+ζ⁵	ζ⁷+ζ⁸	ζ²+ζ⁴	ζ⁴+ζ⁸	ζ+ζ²	ζ⁵+ζ⁷	ζ+ζ⁵	ζ⁷+ζ⁸	ζ²+ζ⁴	ζ⁴+ζ⁸	ζ+ζ²	ζ⁵+ζ⁷	0	0	0	0	0	0	0	0
χ₂₇	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	2	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	2	2	-1	-1	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁴+ζ⁸	ζ+ζ²	ζ⁵+ζ⁷	ζ+ζ⁵	ζ⁷+ζ⁸	ζ²+ζ⁴	ζ⁴+ζ⁸	ζ+ζ²	ζ⁵+ζ⁷	ζ+ζ⁵	ζ⁷+ζ⁸	ζ²+ζ⁴	0	0	0	0	0	0	0	0
χ₂₈	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	2	-2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	1	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	-2	2	-1	-1	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	2	2	-2	-2	1	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	-1	-1	1	1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	0	0	0	0	0	0	0	0
χ₂₉	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	2	-2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	1	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	-2	2	-1	-1	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	1	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ+ζ⁵	ζ⁷+ζ⁸	ζ²+ζ⁴	ζ⁴+ζ⁸	ζ+ζ²	ζ⁵+ζ⁷	−ζ−ζ⁵	−ζ⁷−ζ⁸	−ζ²−ζ⁴	−ζ⁴−ζ⁸	−ζ−ζ²	−ζ⁵−ζ⁷	0	0	0	0	0	0	0	0
χ₃₀	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	2	-2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	1	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	-2	2	-1	-1	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	1	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁴+ζ⁸	ζ+ζ²	ζ⁵+ζ⁷	ζ+ζ⁵	ζ⁷+ζ⁸	ζ²+ζ⁴	−ζ⁴−ζ⁸	−ζ−ζ²	−ζ⁵−ζ⁷	−ζ−ζ⁵	−ζ⁷−ζ⁸	−ζ²−ζ⁴	0	0	0	0	0	0	0	0
χ₃₁	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	2	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	2	2	-1	-1	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	2	2	2	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	-1	-1	-1	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	0	0	0	0	0	0	0	0
χ₃₂	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	2	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	2	2	-1	-1	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ⁷+ζ⁸	ζ²+ζ⁴	ζ+ζ⁵	ζ+ζ²	ζ⁵+ζ⁷	ζ⁴+ζ⁸	ζ⁷+ζ⁸	ζ²+ζ⁴	ζ+ζ⁵	ζ+ζ²	ζ⁵+ζ⁷	ζ⁴+ζ⁸	0	0	0	0	0	0	0	0
χ₃₃	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	2	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	2	2	-1	-1	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ+ζ²	ζ⁵+ζ⁷	ζ⁴+ζ⁸	ζ⁷+ζ⁸	ζ²+ζ⁴	ζ+ζ⁵	ζ+ζ²	ζ⁵+ζ⁷	ζ⁴+ζ⁸	ζ⁷+ζ⁸	ζ²+ζ⁴	ζ+ζ⁵	0	0	0	0	0	0	0	0
χ₃₄	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	2	-2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	1	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	-2	2	-1	-1	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	2	2	-2	-2	1	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	-1	-1	1	1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	0	0	0	0	0	0	0	0
χ₃₅	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	2	-2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	1	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	-2	2	-1	-1	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	1	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁷+ζ⁸	ζ²+ζ⁴	ζ+ζ⁵	ζ+ζ²	ζ⁵+ζ⁷	ζ⁴+ζ⁸	−ζ⁷−ζ⁸	−ζ²−ζ⁴	−ζ−ζ⁵	−ζ−ζ²	−ζ⁵−ζ⁷	−ζ⁴−ζ⁸	0	0	0	0	0	0	0	0
χ₃₆	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	2	-2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	1	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	-2	2	-1	-1	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	1	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ+ζ²	ζ⁵+ζ⁷	ζ⁴+ζ⁸	ζ⁷+ζ⁸	ζ²+ζ⁴	ζ+ζ⁵	−ζ−ζ²	−ζ⁵−ζ⁷	−ζ⁴−ζ⁸	−ζ⁷−ζ⁸	−ζ²−ζ⁴	−ζ−ζ⁵	0	0	0	0	0	0	0	0
χ₃₇	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	3	-1	-1	0	0	0	0
χ₃₈	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	-3	1	1	0	0	0	0
χ₃₉	3	3	3	3	3	3	-3	3	3	3	3	-3	-3	-3	-3	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	-3	-1	1	0	0	0	0
χ₄₀	3	3	3	3	3	3	-3	3	3	3	3	-3	-3	-3	-3	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	3	1	-1	0	0	0	0
χ₄₁	6	6	-3	-3	-3	6	6	6	-3	-3	-3	6	-3	-3	-3	-2	-2	-2	-2	1	1	1	1	1	1	0	0	0	0	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	6	-3	-3	-3	6	-6	6	-3	-3	-3	-6	3	3	3	2	-2	-2	-2	1	1	1	1	1	1	0	0	0	0	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	-3	3ζ+3ζ⁸	3ζ²+3ζ⁷	3ζ⁴+3ζ⁵	6	6	-3	3ζ+3ζ⁸	3ζ²+3ζ⁷	3ζ⁴+3ζ⁵	-3	3ζ+3ζ⁸	3ζ²+3ζ⁷	3ζ⁴+3ζ⁵	-2	-2	1	1	−ζ−ζ⁸	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	1	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	-3	3ζ+3ζ⁸	3ζ²+3ζ⁷	3ζ⁴+3ζ⁵	6	-6	-3	3ζ+3ζ⁸	3ζ²+3ζ⁷	3ζ⁴+3ζ⁵	3	−3ζ−3ζ⁸	−3ζ²−3ζ⁷	−3ζ⁴−3ζ⁵	2	-2	1	1	−ζ−ζ⁸	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0	0	0	0	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	6	-3	3ζ²+3ζ⁷	3ζ⁴+3ζ⁵	3ζ+3ζ⁸	6	6	-3	3ζ²+3ζ⁷	3ζ⁴+3ζ⁵	3ζ+3ζ⁸	-3	3ζ²+3ζ⁷	3ζ⁴+3ζ⁵	3ζ+3ζ⁸	-2	-2	1	1	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	1	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	-3	3ζ²+3ζ⁷	3ζ⁴+3ζ⁵	3ζ+3ζ⁸	6	-6	-3	3ζ²+3ζ⁷	3ζ⁴+3ζ⁵	3ζ+3ζ⁸	3	−3ζ²−3ζ⁷	−3ζ⁴−3ζ⁵	−3ζ−3ζ⁸	2	-2	1	1	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ−ζ⁸	0	0	0	0	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	6	-3	3ζ⁴+3ζ⁵	3ζ+3ζ⁸	3ζ²+3ζ⁷	6	6	-3	3ζ⁴+3ζ⁵	3ζ+3ζ⁸	3ζ²+3ζ⁷	-3	3ζ⁴+3ζ⁵	3ζ+3ζ⁸	3ζ²+3ζ⁷	-2	-2	1	1	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	1	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	6	-3	3ζ⁴+3ζ⁵	3ζ+3ζ⁸	3ζ²+3ζ⁷	6	-6	-3	3ζ⁴+3ζ⁵	3ζ+3ζ⁸	3ζ²+3ζ⁷	3	−3ζ⁴−3ζ⁵	−3ζ−3ζ⁸	−3ζ²−3ζ⁷	2	-2	1	1	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ²−ζ⁷	0	0	0	0	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	12	12	12	12	12	-4	0	-4	-4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	12	12	-6	-6	-6	-4	0	-4	2	2	2	0	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	12	12	-6	-6	-6	-4	0	-4	2	2	2	0	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	12	-6	6ζ+6ζ⁸	6ζ²+6ζ⁷	6ζ⁴+6ζ⁵	-4	0	2	−2ζ−2ζ⁸	−2ζ²−2ζ⁷	−2ζ⁴−2ζ⁵	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2ζ−2ζ⁸	−2ζ+2ζ⁸	−2ζ²+2ζ⁷	2ζ²−2ζ⁷	2ζ⁴−2ζ⁵	−2ζ⁴+2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	12	-6	6ζ+6ζ⁸	6ζ²+6ζ⁷	6ζ⁴+6ζ⁵	-4	0	2	−2ζ−2ζ⁸	−2ζ²−2ζ⁷	−2ζ⁴−2ζ⁵	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	−2ζ+2ζ⁸	2ζ−2ζ⁸	2ζ²−2ζ⁷	−2ζ²+2ζ⁷	−2ζ⁴+2ζ⁵	2ζ⁴−2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	12	-6	6ζ²+6ζ⁷	6ζ⁴+6ζ⁵	6ζ+6ζ⁸	-4	0	2	−2ζ²−2ζ⁷	−2ζ⁴−2ζ⁵	−2ζ−2ζ⁸	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	−2ζ²+2ζ⁷	2ζ²−2ζ⁷	2ζ⁴−2ζ⁵	−2ζ⁴+2ζ⁵	2ζ−2ζ⁸	−2ζ+2ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	12	-6	6ζ²+6ζ⁷	6ζ⁴+6ζ⁵	6ζ+6ζ⁸	-4	0	2	−2ζ²−2ζ⁷	−2ζ⁴−2ζ⁵	−2ζ−2ζ⁸	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2ζ²−2ζ⁷	−2ζ²+2ζ⁷	−2ζ⁴+2ζ⁵	2ζ⁴−2ζ⁵	−2ζ+2ζ⁸	2ζ−2ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	12	-6	6ζ⁴+6ζ⁵	6ζ+6ζ⁸	6ζ²+6ζ⁷	-4	0	2	−2ζ⁴−2ζ⁵	−2ζ−2ζ⁸	−2ζ²−2ζ⁷	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2ζ⁴−2ζ⁵	−2ζ⁴+2ζ⁵	2ζ−2ζ⁸	−2ζ+2ζ⁸	−2ζ²+2ζ⁷	2ζ²−2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	12	-6	6ζ⁴+6ζ⁵	6ζ+6ζ⁸	6ζ²+6ζ⁷	-4	0	2	−2ζ⁴−2ζ⁵	−2ζ−2ζ⁸	−2ζ²−2ζ⁷	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	−2ζ⁴+2ζ⁵	2ζ⁴−2ζ⁵	−2ζ+2ζ⁸	2ζ−2ζ⁸	2ζ²−2ζ⁷	−2ζ²+2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13147124