Group #4171 — 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
size	1	2	2	2	2	2	2	2	2	2	2	2	2	2	27	1	2	2	2	2	2	2	2	2	2	2	2	2	2	27	1	2	2	2	2	2	2	2	2	2	2	2	2	2	27
order	1	3	9	9	9	27	27	27	27	27	27	27	27	27	2	3	3	9	9	9	27	27	27	27	27	27	27	27	27	6	3	3	9	9	9	27	27	27	27	27	27	27	27	27	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
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
χ₃	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0
χ₄	2	2	-1	-1	-1	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	0	2	2	-1	-1	-1	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	0	2	2	-1	-1	-1	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	0
χ₅	2	2	-1	-1	-1	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	0	2	2	-1	-1	-1	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	0	2	2	-1	-1	-1	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	0
χ₆	2	2	-1	-1	-1	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0	2	2	-1	-1	-1	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0	2	2	-1	-1	-1	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0
χ₇	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	0	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	0	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	0
χ₈	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	0	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	0	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	0
χ₉	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	0	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	0	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	0
χ₁₀	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	0	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	0	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	0
χ₁₁	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	0	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	0	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	0
χ₁₂	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	0	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	0	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	0
χ₁₃	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	0	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	0	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	0
χ₁₄	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	0	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	0	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	0
χ₁₅	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	0	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	0	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	0
χ₁₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₈	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0
χ₁₉	2	2	-1	-1	-1	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	0	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁶+ζ¹²	ζ⁶+ζ¹²	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ³+ζ¹⁵	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	0	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ³+ζ⁶	ζ³+ζ⁶	0
χ₂₀	2	2	-1	-1	-1	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	0	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ³+ζ¹⁵	ζ³+ζ¹⁵	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ⁶+ζ¹²	ζ⁶+ζ¹²	0	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ³+ζ⁶	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	0
χ₂₁	2	2	-1	-1	-1	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ⁶+ζ¹²	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ³+ζ¹⁵	ζ³+ζ¹⁵	0	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ³+ζ⁶	ζ³+ζ⁶	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	0
χ₂₂	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ⁸+ζ¹⁰	ζ+ζ¹⁷	ζ¹⁹+ζ²⁶	ζ⁷+ζ¹¹	ζ²+ζ¹⁶	ζ²⁰+ζ²⁵	ζ⁵+ζ¹³	ζ⁴+ζ¹⁴	ζ²²+ζ²³	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ¹⁷+ζ¹⁹	ζ¹⁰+ζ²⁶	ζ+ζ⁸	ζ¹⁶+ζ²⁰	ζ¹¹+ζ²⁵	ζ²+ζ⁷	ζ¹⁴+ζ²²	ζ¹³+ζ²³	ζ⁴+ζ⁵	0
χ₂₃	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ+ζ¹⁷	ζ¹⁹+ζ²⁶	ζ⁸+ζ¹⁰	ζ²⁰+ζ²⁵	ζ⁷+ζ¹¹	ζ²+ζ¹⁶	ζ⁴+ζ¹⁴	ζ²²+ζ²³	ζ⁵+ζ¹³	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ¹⁰+ζ²⁶	ζ+ζ⁸	ζ¹⁷+ζ¹⁹	ζ²+ζ⁷	ζ¹⁶+ζ²⁰	ζ¹¹+ζ²⁵	ζ¹³+ζ²³	ζ⁴+ζ⁵	ζ¹⁴+ζ²²	0
χ₂₄	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ¹⁹+ζ²⁶	ζ⁸+ζ¹⁰	ζ+ζ¹⁷	ζ²+ζ¹⁶	ζ²⁰+ζ²⁵	ζ⁷+ζ¹¹	ζ²²+ζ²³	ζ⁵+ζ¹³	ζ⁴+ζ¹⁴	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ+ζ⁸	ζ¹⁷+ζ¹⁹	ζ¹⁰+ζ²⁶	ζ¹¹+ζ²⁵	ζ²+ζ⁷	ζ¹⁶+ζ²⁰	ζ⁴+ζ⁵	ζ¹⁴+ζ²²	ζ¹³+ζ²³	0
χ₂₅	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ⁷+ζ¹¹	ζ²⁰+ζ²⁵	ζ²+ζ¹⁶	ζ⁵+ζ¹³	ζ²²+ζ²³	ζ⁴+ζ¹⁴	ζ+ζ¹⁷	ζ¹⁹+ζ²⁶	ζ⁸+ζ¹⁰	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹⁶+ζ²⁰	ζ²+ζ⁷	ζ¹¹+ζ²⁵	ζ¹⁴+ζ²²	ζ⁴+ζ⁵	ζ¹³+ζ²³	ζ¹⁰+ζ²⁶	ζ+ζ⁸	ζ¹⁷+ζ¹⁹	0
χ₂₆	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ²+ζ¹⁶	ζ⁷+ζ¹¹	ζ²⁰+ζ²⁵	ζ²²+ζ²³	ζ⁴+ζ¹⁴	ζ⁵+ζ¹³	ζ⁸+ζ¹⁰	ζ+ζ¹⁷	ζ¹⁹+ζ²⁶	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹¹+ζ²⁵	ζ¹⁶+ζ²⁰	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ¹³+ζ²³	ζ¹⁴+ζ²²	ζ¹⁷+ζ¹⁹	ζ¹⁰+ζ²⁶	ζ+ζ⁸	0
χ₂₇	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ²⁰+ζ²⁵	ζ²+ζ¹⁶	ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	ζ⁵+ζ¹³	ζ²²+ζ²³	ζ¹⁹+ζ²⁶	ζ⁸+ζ¹⁰	ζ+ζ¹⁷	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ²+ζ⁷	ζ¹¹+ζ²⁵	ζ¹⁶+ζ²⁰	ζ¹³+ζ²³	ζ¹⁴+ζ²²	ζ⁴+ζ⁵	ζ+ζ⁸	ζ¹⁷+ζ¹⁹	ζ¹⁰+ζ²⁶	0
χ₂₈	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ⁵+ζ¹³	ζ⁴+ζ¹⁴	ζ²²+ζ²³	ζ+ζ¹⁷	ζ⁸+ζ¹⁰	ζ¹⁹+ζ²⁶	ζ²⁰+ζ²⁵	ζ²+ζ¹⁶	ζ⁷+ζ¹¹	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ¹⁴+ζ²²	ζ¹³+ζ²³	ζ⁴+ζ⁵	ζ¹⁰+ζ²⁶	ζ¹⁷+ζ¹⁹	ζ+ζ⁸	ζ²+ζ⁷	ζ¹¹+ζ²⁵	ζ¹⁶+ζ²⁰	0
χ₂₉	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ⁴+ζ¹⁴	ζ²²+ζ²³	ζ⁵+ζ¹³	ζ¹⁹+ζ²⁶	ζ+ζ¹⁷	ζ⁸+ζ¹⁰	ζ²+ζ¹⁶	ζ⁷+ζ¹¹	ζ²⁰+ζ²⁵	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ¹³+ζ²³	ζ⁴+ζ⁵	ζ¹⁴+ζ²²	ζ+ζ⁸	ζ¹⁰+ζ²⁶	ζ¹⁷+ζ¹⁹	ζ¹¹+ζ²⁵	ζ¹⁶+ζ²⁰	ζ²+ζ⁷	0
χ₃₀	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ²²+ζ²³	ζ⁵+ζ¹³	ζ⁴+ζ¹⁴	ζ⁸+ζ¹⁰	ζ¹⁹+ζ²⁶	ζ+ζ¹⁷	ζ⁷+ζ¹¹	ζ²⁰+ζ²⁵	ζ²+ζ¹⁶	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ⁴+ζ⁵	ζ¹⁴+ζ²²	ζ¹³+ζ²³	ζ¹⁷+ζ¹⁹	ζ+ζ⁸	ζ¹⁰+ζ²⁶	ζ¹⁶+ζ²⁰	ζ²+ζ⁷	ζ¹¹+ζ²⁵	0
χ₃₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₃₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₃₃	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0
χ₃₄	2	2	-1	-1	-1	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	0	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ³+ζ⁶	ζ³+ζ⁶	0	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁶+ζ¹²	ζ⁶+ζ¹²	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ³+ζ¹⁵	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	0
χ₃₅	2	2	-1	-1	-1	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	0	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ³+ζ⁶	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	0	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ³+ζ¹⁵	ζ³+ζ¹⁵	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ⁶+ζ¹²	ζ⁶+ζ¹²	0
χ₃₆	2	2	-1	-1	-1	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	0	$- 1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ³+ζ⁶	ζ³+ζ⁶	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	ζ¹²+ζ²⁴	0	$- 1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ⁶+ζ¹²	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ³+ζ¹⁵	ζ³+ζ¹⁵	0
χ₃₇	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ¹⁷+ζ¹⁹	ζ¹⁰+ζ²⁶	ζ+ζ⁸	ζ¹⁶+ζ²⁰	ζ¹¹+ζ²⁵	ζ²+ζ⁷	ζ¹⁴+ζ²²	ζ¹³+ζ²³	ζ⁴+ζ⁵	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ⁸+ζ¹⁰	ζ+ζ¹⁷	ζ¹⁹+ζ²⁶	ζ⁷+ζ¹¹	ζ²+ζ¹⁶	ζ²⁰+ζ²⁵	ζ⁵+ζ¹³	ζ⁴+ζ¹⁴	ζ²²+ζ²³	0
χ₃₈	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ⁷+ζ²⁰	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ¹⁰+ζ²⁶	ζ+ζ⁸	ζ¹⁷+ζ¹⁹	ζ²+ζ⁷	ζ¹⁶+ζ²⁰	ζ¹¹+ζ²⁵	ζ¹³+ζ²³	ζ⁴+ζ⁵	ζ¹⁴+ζ²²	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ+ζ¹⁷	ζ¹⁹+ζ²⁶	ζ⁸+ζ¹⁰	ζ²⁰+ζ²⁵	ζ⁷+ζ¹¹	ζ²+ζ¹⁶	ζ⁴+ζ¹⁴	ζ²²+ζ²³	ζ⁵+ζ¹³	0
χ₃₉	2	-1	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ⁷+ζ²⁰	ζ¹¹+ζ¹⁶	ζ²+ζ²⁵	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ+ζ⁸	ζ¹⁷+ζ¹⁹	ζ¹⁰+ζ²⁶	ζ¹¹+ζ²⁵	ζ²+ζ⁷	ζ¹⁶+ζ²⁰	ζ⁴+ζ⁵	ζ¹⁴+ζ²²	ζ¹³+ζ²³	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ¹⁹+ζ²⁶	ζ⁸+ζ¹⁰	ζ+ζ¹⁷	ζ²+ζ¹⁶	ζ²⁰+ζ²⁵	ζ⁷+ζ¹¹	ζ²²+ζ²³	ζ⁵+ζ¹³	ζ⁴+ζ¹⁴	0
χ₄₀	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹⁶+ζ²⁰	ζ²+ζ⁷	ζ¹¹+ζ²⁵	ζ¹⁴+ζ²²	ζ⁴+ζ⁵	ζ¹³+ζ²³	ζ¹⁰+ζ²⁶	ζ+ζ⁸	ζ¹⁷+ζ¹⁹	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ⁷+ζ¹¹	ζ²⁰+ζ²⁵	ζ²+ζ¹⁶	ζ⁵+ζ¹³	ζ²²+ζ²³	ζ⁴+ζ¹⁴	ζ+ζ¹⁷	ζ¹⁹+ζ²⁶	ζ⁸+ζ¹⁰	0
χ₄₁	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ¹³+ζ¹⁴	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ+ζ²⁶	ζ⁸+ζ¹⁹	ζ¹⁰+ζ¹⁷	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹¹+ζ²⁵	ζ¹⁶+ζ²⁰	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ¹³+ζ²³	ζ¹⁴+ζ²²	ζ¹⁷+ζ¹⁹	ζ¹⁰+ζ²⁶	ζ+ζ⁸	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ²+ζ¹⁶	ζ⁷+ζ¹¹	ζ²⁰+ζ²⁵	ζ²²+ζ²³	ζ⁴+ζ¹⁴	ζ⁵+ζ¹³	ζ⁸+ζ¹⁰	ζ+ζ¹⁷	ζ¹⁹+ζ²⁶	0
χ₄₂	2	-1	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ⁵+ζ²²	ζ⁴+ζ²³	ζ¹³+ζ¹⁴	ζ¹⁰+ζ¹⁷	ζ+ζ²⁶	ζ⁸+ζ¹⁹	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹²+ζ²⁴	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ²+ζ⁷	ζ¹¹+ζ²⁵	ζ¹⁶+ζ²⁰	ζ¹³+ζ²³	ζ¹⁴+ζ²²	ζ⁴+ζ⁵	ζ+ζ⁸	ζ¹⁷+ζ¹⁹	ζ¹⁰+ζ²⁶	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ³+ζ¹⁵	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ²⁰+ζ²⁵	ζ²+ζ¹⁶	ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	ζ⁵+ζ¹³	ζ²²+ζ²³	ζ¹⁹+ζ²⁶	ζ⁸+ζ¹⁰	ζ+ζ¹⁷	0
χ₄₃	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ¹⁴+ζ²²	ζ¹³+ζ²³	ζ⁴+ζ⁵	ζ¹⁰+ζ²⁶	ζ¹⁷+ζ¹⁹	ζ+ζ⁸	ζ²+ζ⁷	ζ¹¹+ζ²⁵	ζ¹⁶+ζ²⁰	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ⁵+ζ¹³	ζ⁴+ζ¹⁴	ζ²²+ζ²³	ζ+ζ¹⁷	ζ⁸+ζ¹⁰	ζ¹⁹+ζ²⁶	ζ²⁰+ζ²⁵	ζ²+ζ¹⁶	ζ⁷+ζ¹¹	0
χ₄₄	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁵+ζ²²	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ+ζ²⁶	ζ⁷+ζ²⁰	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ¹³+ζ²³	ζ⁴+ζ⁵	ζ¹⁴+ζ²²	ζ+ζ⁸	ζ¹⁰+ζ²⁶	ζ¹⁷+ζ¹⁹	ζ¹¹+ζ²⁵	ζ¹⁶+ζ²⁰	ζ²+ζ⁷	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ⁴+ζ¹⁴	ζ²²+ζ²³	ζ⁵+ζ¹³	ζ¹⁹+ζ²⁶	ζ+ζ¹⁷	ζ⁸+ζ¹⁰	ζ²+ζ¹⁶	ζ⁷+ζ¹¹	ζ²⁰+ζ²⁵	0
χ₄₅	2	-1	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹³+ζ¹⁴	ζ⁴+ζ²³	ζ⁵+ζ²²	ζ+ζ²⁶	ζ¹⁰+ζ¹⁷	ζ⁸+ζ¹⁹	ζ²+ζ²⁵	ζ¹¹+ζ¹⁶	ζ⁷+ζ²⁰	0	$- 1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ³+ζ⁶	ζ¹⁵+ζ²¹	ζ¹²+ζ²⁴	ζ⁴+ζ⁵	ζ¹⁴+ζ²²	ζ¹³+ζ²³	ζ¹⁷+ζ¹⁹	ζ+ζ⁸	ζ¹⁰+ζ²⁶	ζ¹⁶+ζ²⁰	ζ²+ζ⁷	ζ¹¹+ζ²⁵	0	$- 1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²¹+ζ²⁴	ζ⁶+ζ¹²	ζ³+ζ¹⁵	ζ²²+ζ²³	ζ⁵+ζ¹³	ζ⁴+ζ¹⁴	ζ⁸+ζ¹⁰	ζ¹⁹+ζ²⁶	ζ+ζ¹⁷	ζ⁷+ζ¹¹	ζ²⁰+ζ²⁵	ζ²+ζ¹⁶	0

Character table — Group #4171