Group #13057660 — 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
size	1	1	2	2	2	6	6	6	6	6	6	6	6	6	6	12	12	12	12	12	12	12	12	12	12	12	12	12	28	28	28	28	28	28	56	56	56	56	56	56	84	84	112	112	112	112
order	1	2	4	8	8	2	4	7	14	28	28	56	56	56	56	8	14	14	14	28	28	28	56	56	56	56	56	56	2	2	3	3	6	6	12	12	24	24	24	24	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
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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
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	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	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	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1
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	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-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	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-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
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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
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	-1	-1	-1	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	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	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	1	-1	1
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	-1	-1	-1	-1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-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	-1	-1	-1	-1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-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	-2	0	0	-2	2	2	2	-2	-2	0	0	0	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	0	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₁₄	2	2	-2	0	0	-2	2	2	2	-2	-2	0	0	0	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₁₅	2	2	-2	0	0	-2	2	2	2	-2	-2	0	0	0	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₁₆	3	3	3	3	3	-1	-1	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0
χ₁₇	3	3	3	3	3	-1	-1	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-3	-3	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0
χ₁₈	3	3	3	-3	-3	-1	-1	3	3	3	3	-3	-3	-3	-3	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	3	-3	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	0	0
χ₁₉	3	3	3	-3	-3	-1	-1	3	3	3	3	-3	-3	-3	-3	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-3	3	0	0	0	0	0	0	0	0	0	0	1	-1	0	0	0	0
χ₂₀	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	4	-4	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₂₁	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	4	-4	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	−ζ¹³+ζ³¹−ζ³⁷+ζ⁵⁵−ζ⁶¹+ζ⁷⁹−ζ⁸⁵+ζ¹⁰³−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁵¹−ζ¹⁵⁷	ζ¹³−ζ³¹+ζ³⁷−ζ⁵⁵+ζ⁶¹−ζ⁷⁹+ζ⁸⁵−ζ¹⁰³+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁵¹+ζ¹⁵⁷	−ζ⁵+ζ²³−ζ²⁹+ζ⁴⁷−ζ⁵³+ζ⁷¹+ζ⁹⁵−ζ¹⁰¹−ζ¹²⁵+ζ¹⁴³−ζ¹⁴⁹+ζ¹⁶⁷	ζ⁵−ζ²³+ζ²⁹−ζ⁴⁷+ζ⁵³−ζ⁷¹−ζ⁹⁵+ζ¹⁰¹+ζ¹²⁵−ζ¹⁴³+ζ¹⁴⁹−ζ¹⁶⁷	0	0	0	0	0	0
χ₂₂	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	4	-4	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	−ζ⁵+ζ²³−ζ²⁹+ζ⁴⁷−ζ⁵³+ζ⁷¹+ζ⁹⁵−ζ¹⁰¹−ζ¹²⁵+ζ¹⁴³−ζ¹⁴⁹+ζ¹⁶⁷	ζ⁵−ζ²³+ζ²⁹−ζ⁴⁷+ζ⁵³−ζ⁷¹−ζ⁹⁵+ζ¹⁰¹+ζ¹²⁵−ζ¹⁴³+ζ¹⁴⁹−ζ¹⁶⁷	−ζ¹³+ζ³¹−ζ³⁷+ζ⁵⁵−ζ⁶¹+ζ⁷⁹−ζ⁸⁵+ζ¹⁰³−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁵¹−ζ¹⁵⁷	ζ¹³−ζ³¹+ζ³⁷−ζ⁵⁵+ζ⁶¹−ζ⁷⁹+ζ⁸⁵−ζ¹⁰³+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁵¹+ζ¹⁵⁷	0	0	0	0	0	0
χ₂₃	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	4	-4	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₂₄	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	4	-4	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	ζ¹³−ζ³¹+ζ³⁷−ζ⁵⁵+ζ⁶¹−ζ⁷⁹+ζ⁸⁵−ζ¹⁰³+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁵¹+ζ¹⁵⁷	−ζ¹³+ζ³¹−ζ³⁷+ζ⁵⁵−ζ⁶¹+ζ⁷⁹−ζ⁸⁵+ζ¹⁰³−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁵¹−ζ¹⁵⁷	ζ⁵−ζ²³+ζ²⁹−ζ⁴⁷+ζ⁵³−ζ⁷¹−ζ⁹⁵+ζ¹⁰¹+ζ¹²⁵−ζ¹⁴³+ζ¹⁴⁹−ζ¹⁶⁷	−ζ⁵+ζ²³−ζ²⁹+ζ⁴⁷−ζ⁵³+ζ⁷¹+ζ⁹⁵−ζ¹⁰¹−ζ¹²⁵+ζ¹⁴³−ζ¹⁴⁹+ζ¹⁶⁷	0	0	0	0	0	0
χ₂₅	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	4	-4	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	ζ⁵−ζ²³+ζ²⁹−ζ⁴⁷+ζ⁵³−ζ⁷¹−ζ⁹⁵+ζ¹⁰¹+ζ¹²⁵−ζ¹⁴³+ζ¹⁴⁹−ζ¹⁶⁷	−ζ⁵+ζ²³−ζ²⁹+ζ⁴⁷−ζ⁵³+ζ⁷¹+ζ⁹⁵−ζ¹⁰¹−ζ¹²⁵+ζ¹⁴³−ζ¹⁴⁹+ζ¹⁶⁷	ζ¹³−ζ³¹+ζ³⁷−ζ⁵⁵+ζ⁶¹−ζ⁷⁹+ζ⁸⁵−ζ¹⁰³+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁵¹+ζ¹⁵⁷	−ζ¹³+ζ³¹−ζ³⁷+ζ⁵⁵−ζ⁶¹+ζ⁷⁹−ζ⁸⁵+ζ¹⁰³−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁵¹−ζ¹⁵⁷	0	0	0	0	0	0
χ₂₆	6	6	6	6	6	6	6	-1	-1	-1	-1	-1	-1	-1	-1	6	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	6	6	6	6	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-2	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	6	6	6	6	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-2	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	6	6	6	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-2	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	6	6	6	-6	-6	6	6	-1	-1	-1	-1	1	1	1	1	-6	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	6	6	-6	-6	-2	-2	-1	-1	-1	-1	1	1	1	1	2	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	6	6	-6	-6	-2	-2	-1	-1	-1	-1	1	1	1	1	2	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	6	6	6	-6	-6	-2	-2	-1	-1	-1	-1	1	1	1	1	2	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	6	6	-6	0	0	2	-2	6	6	-6	-6	0	0	0	0	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	6	-6	0	0	2	-2	-1	-1	1	1	$\sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	0	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	ζ²²−ζ³⁸+ζ⁴⁶−ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ²²+ζ³⁸−ζ⁴⁶+ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²−ζ⁸⁶+ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁶⁶	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²+ζ⁸⁶−ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁵⁸−ζ¹⁶⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	-6	0	0	2	-2	-1	-1	1	1	$\sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	0	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	ζ²²−ζ³⁸+ζ⁴⁶−ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ²²+ζ³⁸−ζ⁴⁶+ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²+ζ⁸⁶−ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁵⁸−ζ¹⁶⁶	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²−ζ⁸⁶+ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁶⁶	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	6	-6	0	0	2	-2	-1	-1	1	1	$\sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	0	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²+ζ⁸⁶−ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁵⁸−ζ¹⁶⁶	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²−ζ⁸⁶+ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁶⁶	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ²²+ζ³⁸−ζ⁴⁶+ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	ζ²²−ζ³⁸+ζ⁴⁶−ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	-6	0	0	2	-2	-1	-1	1	1	$- \sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	0	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	−ζ²²+ζ³⁸−ζ⁴⁶+ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	ζ²²−ζ³⁸+ζ⁴⁶−ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²+ζ⁸⁶−ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁵⁸−ζ¹⁶⁶	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²−ζ⁸⁶+ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁶⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-6	0	0	2	-2	-1	-1	1	1	$- \sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	0	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ²²+ζ³⁸−ζ⁴⁶+ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	ζ²²−ζ³⁸+ζ⁴⁶−ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²−ζ⁸⁶+ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁶⁶	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²+ζ⁸⁶−ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁵⁸−ζ¹⁶⁶	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	6	-6	0	0	2	-2	-1	-1	1	1	$- \sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	0	ζ⁴−ζ²⁰+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰+ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴+ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴+ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴+ζ²⁰−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²−ζ¹⁰⁰−ζ¹¹⁶−ζ¹²⁴+ζ¹⁴⁸−ζ¹⁶⁴	ζ⁴−ζ²⁰−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹⁰⁰+ζ¹¹⁶−ζ¹²⁴−ζ¹⁴⁸+ζ¹⁶⁴	−ζ⁴−ζ²⁰+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²+ζ¹⁰⁰−ζ¹¹⁶+ζ¹²⁴−ζ¹⁴⁸−ζ¹⁶⁴	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²−ζ⁸⁶+ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁶⁶	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²+ζ⁸⁶−ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²+ζ¹⁵⁸−ζ¹⁶⁶	−ζ²²−ζ³⁸+ζ⁴⁶+ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	ζ²²+ζ³⁸−ζ⁴⁶−ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	ζ²²−ζ³⁸+ζ⁴⁶−ζ⁶²−ζ⁸⁶−ζ⁹⁴+ζ¹¹⁰−ζ¹¹⁸+ζ¹³⁴−ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶	−ζ²²+ζ³⁸−ζ⁴⁶+ζ⁶²+ζ⁸⁶+ζ⁹⁴−ζ¹¹⁰+ζ¹¹⁸−ζ¹³⁴+ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	6	-6	0	0	-6	6	-1	-1	1	1	$\sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	0	1	1	1	-1	-1	-1	$- \sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	6	-6	0	0	-6	6	-1	-1	1	1	$- \sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	0	1	1	1	-1	-1	-1	$\sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	$- \sqrt{7}$	$- \sqrt{7}$	$\sqrt{7}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	12	-12	0	$6 \sqrt{2}$	$- 6 \sqrt{2}$	0	0	-2	2	$2 \sqrt{7}$	$- 2 \sqrt{7}$	−2ζ²⁹+2ζ³¹−2ζ³⁷+2ζ⁴⁷−2ζ⁵³+2ζ⁵⁵−2ζ⁸⁵+2ζ¹⁰³−2ζ¹⁰⁹+2ζ¹⁴³−2ζ¹⁴⁹+2ζ¹⁶⁷	−2ζ⁵−2ζ¹³+2ζ²³−2ζ⁶¹+2ζ⁷¹+2ζ⁷⁹+2ζ⁹⁵−2ζ¹⁰¹−2ζ¹²⁵+2ζ¹²⁷+2ζ¹⁵¹−2ζ¹⁵⁷	2ζ²⁹−2ζ³¹+2ζ³⁷−2ζ⁴⁷+2ζ⁵³−2ζ⁵⁵+2ζ⁸⁵−2ζ¹⁰³+2ζ¹⁰⁹−2ζ¹⁴³+2ζ¹⁴⁹−2ζ¹⁶⁷	2ζ⁵+2ζ¹³−2ζ²³+2ζ⁶¹−2ζ⁷¹−2ζ⁷⁹−2ζ⁹⁵+2ζ¹⁰¹+2ζ¹²⁵−2ζ¹²⁷−2ζ¹⁵¹+2ζ¹⁵⁷	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
χ₄₄	12	-12	0	$6 \sqrt{2}$	$- 6 \sqrt{2}$	0	0	-2	2	$- 2 \sqrt{7}$	$2 \sqrt{7}$	−2ζ⁵−2ζ¹³+2ζ²³−2ζ⁶¹+2ζ⁷¹+2ζ⁷⁹+2ζ⁹⁵−2ζ¹⁰¹−2ζ¹²⁵+2ζ¹²⁷+2ζ¹⁵¹−2ζ¹⁵⁷	−2ζ²⁹+2ζ³¹−2ζ³⁷+2ζ⁴⁷−2ζ⁵³+2ζ⁵⁵−2ζ⁸⁵+2ζ¹⁰³−2ζ¹⁰⁹+2ζ¹⁴³−2ζ¹⁴⁹+2ζ¹⁶⁷	2ζ⁵+2ζ¹³−2ζ²³+2ζ⁶¹−2ζ⁷¹−2ζ⁷⁹−2ζ⁹⁵+2ζ¹⁰¹+2ζ¹²⁵−2ζ¹²⁷−2ζ¹⁵¹+2ζ¹⁵⁷	2ζ²⁹−2ζ³¹+2ζ³⁷−2ζ⁴⁷+2ζ⁵³−2ζ⁵⁵+2ζ⁸⁵−2ζ¹⁰³+2ζ¹⁰⁹−2ζ¹⁴³+2ζ¹⁴⁹−2ζ¹⁶⁷	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
χ₄₅	12	-12	0	$- 6 \sqrt{2}$	$6 \sqrt{2}$	0	0	-2	2	$2 \sqrt{7}$	$- 2 \sqrt{7}$	2ζ²⁹−2ζ³¹+2ζ³⁷−2ζ⁴⁷+2ζ⁵³−2ζ⁵⁵+2ζ⁸⁵−2ζ¹⁰³+2ζ¹⁰⁹−2ζ¹⁴³+2ζ¹⁴⁹−2ζ¹⁶⁷	2ζ⁵+2ζ¹³−2ζ²³+2ζ⁶¹−2ζ⁷¹−2ζ⁷⁹−2ζ⁹⁵+2ζ¹⁰¹+2ζ¹²⁵−2ζ¹²⁷−2ζ¹⁵¹+2ζ¹⁵⁷	−2ζ²⁹+2ζ³¹−2ζ³⁷+2ζ⁴⁷−2ζ⁵³+2ζ⁵⁵−2ζ⁸⁵+2ζ¹⁰³−2ζ¹⁰⁹+2ζ¹⁴³−2ζ¹⁴⁹+2ζ¹⁶⁷	−2ζ⁵−2ζ¹³+2ζ²³−2ζ⁶¹+2ζ⁷¹+2ζ⁷⁹+2ζ⁹⁵−2ζ¹⁰¹−2ζ¹²⁵+2ζ¹²⁷+2ζ¹⁵¹−2ζ¹⁵⁷	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
χ₄₆	12	-12	0	$- 6 \sqrt{2}$	$6 \sqrt{2}$	0	0	-2	2	$- 2 \sqrt{7}$	$2 \sqrt{7}$	2ζ⁵+2ζ¹³−2ζ²³+2ζ⁶¹−2ζ⁷¹−2ζ⁷⁹−2ζ⁹⁵+2ζ¹⁰¹+2ζ¹²⁵−2ζ¹²⁷−2ζ¹⁵¹+2ζ¹⁵⁷	2ζ²⁹−2ζ³¹+2ζ³⁷−2ζ⁴⁷+2ζ⁵³−2ζ⁵⁵+2ζ⁸⁵−2ζ¹⁰³+2ζ¹⁰⁹−2ζ¹⁴³+2ζ¹⁴⁹−2ζ¹⁶⁷	−2ζ⁵−2ζ¹³+2ζ²³−2ζ⁶¹+2ζ⁷¹+2ζ⁷⁹+2ζ⁹⁵−2ζ¹⁰¹−2ζ¹²⁵+2ζ¹²⁷+2ζ¹⁵¹−2ζ¹⁵⁷	−2ζ²⁹+2ζ³¹−2ζ³⁷+2ζ⁴⁷−2ζ⁵³+2ζ⁵⁵−2ζ⁸⁵+2ζ¹⁰³−2ζ¹⁰⁹+2ζ¹⁴³−2ζ¹⁴⁹+2ζ¹⁶⁷	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

Here ζ is a primitive root of unity of order 168 (ζ¹⁶⁸ = 1); i = ζ⁴².

Character table — Group #13057660