Group #72209753 — 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
size	1	1	12	12	12	12	20	20	24	24	24	24	30	42	42	42	56	56	288	288	288	288	288	288	288	288	480	480	480	480	504	504	504	504	504	504	630	672	672	672	672	720	720	840	840	840	1120	1120	1260	1680
order	1	2	5	5	10	10	3	6	7	7	14	14	4	4	8	8	3	6	35	35	35	35	70	70	70	70	21	21	42	42	20	20	40	40	40	40	2	15	15	30	30	28	28	12	24	24	3	6	8	12
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
χ₂	3	3	3	3	3	3	3	3	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	3	-1	1	1	0	0	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	-1	-1	1	1	1	1	-1	0	0	0	0	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	-1	1	1	0	0	1	0
χ₃	3	3	3	3	3	3	3	3	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	3	-1	1	1	0	0	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	-1	-1	1	1	1	1	-1	0	0	0	0	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	-1	1	1	0	0	1	0
χ₄	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	3	3	3	3	-1	3	3	3	3	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	-1	0	0	0	0	0	-1	-1
χ₅	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	3	3	3	3	-1	3	3	3	3	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	-1	0	0	0	0	0	-1	-1
χ₆	4	4	-1	-1	-1	-1	1	1	4	4	4	4	0	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	0	-1	-1	-1	-1	0	0	1	1	1	1	1	0	0
χ₇	5	5	0	0	0	0	-1	-1	5	5	5	5	1	5	5	5	5	5	0	0	0	0	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	1	0	0	0	0	1	1	-1	-1	-1	-1	-1	1	1
χ₈	6	6	6	6	6	6	6	6	-1	-1	-1	-1	6	2	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	2	0	0	0	0	-1	-1	2	0	0	0	0	0	0
χ₉	7	7	7	7	7	7	7	7	0	0	0	0	7	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	-1	-1	-1	1	1	-1	1
χ₁₀	8	8	8	8	8	8	8	8	1	1	1	1	8	0	0	0	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	0	0	0	-1	-1	0	-1
χ₁₁	8	-8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	-4	4	$1 - i \sqrt{7}$	$1 + i \sqrt{7}$	$- 1 + i \sqrt{7}$	$- 1 - i \sqrt{7}$	0	0	0	0	2	-2	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	−ζ⁷⁶−ζ¹²⁴−ζ¹⁶⁴−ζ²³⁶−ζ²⁴⁴−ζ²⁷⁶	−ζ¹²−ζ⁵²−ζ⁶⁸−ζ¹⁰⁸−ζ¹³²−ζ¹⁸⁸	−ζ⁴−ζ³⁶−ζ⁴⁴−ζ¹¹⁶−ζ¹⁵⁶−ζ²⁰⁴	−ζ⁹²−ζ¹⁴⁸−ζ¹⁷²−ζ²¹²−ζ²²⁸−ζ²⁶⁸	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	-1	1	0	0
χ₁₂	8	-8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	-4	4	$1 + i \sqrt{7}$	$1 - i \sqrt{7}$	$- 1 - i \sqrt{7}$	$- 1 + i \sqrt{7}$	0	0	0	0	2	-2	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	−ζ⁴−ζ³⁶−ζ⁴⁴−ζ¹¹⁶−ζ¹⁵⁶−ζ²⁰⁴	−ζ⁹²−ζ¹⁴⁸−ζ¹⁷²−ζ²¹²−ζ²²⁸−ζ²⁶⁸	−ζ⁷⁶−ζ¹²⁴−ζ¹⁶⁴−ζ²³⁶−ζ²⁴⁴−ζ²⁷⁶	−ζ¹²−ζ⁵²−ζ⁶⁸−ζ¹⁰⁸−ζ¹³²−ζ¹⁸⁸	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	-1	1	0	0
χ₁₃	8	-8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	-4	4	$1 - i \sqrt{7}$	$1 + i \sqrt{7}$	$- 1 + i \sqrt{7}$	$- 1 - i \sqrt{7}$	0	0	0	0	2	-2	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	−ζ¹²−ζ⁵²−ζ⁶⁸−ζ¹⁰⁸−ζ¹³²−ζ¹⁸⁸	−ζ⁷⁶−ζ¹²⁴−ζ¹⁶⁴−ζ²³⁶−ζ²⁴⁴−ζ²⁷⁶	−ζ⁹²−ζ¹⁴⁸−ζ¹⁷²−ζ²¹²−ζ²²⁸−ζ²⁶⁸	−ζ⁴−ζ³⁶−ζ⁴⁴−ζ¹¹⁶−ζ¹⁵⁶−ζ²⁰⁴	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	-1	1	0	0
χ₁₄	8	-8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	-4	4	$1 + i \sqrt{7}$	$1 - i \sqrt{7}$	$- 1 - i \sqrt{7}$	$- 1 + i \sqrt{7}$	0	0	0	0	2	-2	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	−ζ⁹²−ζ¹⁴⁸−ζ¹⁷²−ζ²¹²−ζ²²⁸−ζ²⁶⁸	−ζ⁴−ζ³⁶−ζ⁴⁴−ζ¹¹⁶−ζ¹⁵⁶−ζ²⁰⁴	−ζ¹²−ζ⁵²−ζ⁶⁸−ζ¹⁰⁸−ζ¹³²−ζ¹⁸⁸	−ζ⁷⁶−ζ¹²⁴−ζ¹⁶⁴−ζ²³⁶−ζ²⁴⁴−ζ²⁷⁶	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	-1	1	0	0
χ₁₅	9	9	$\frac{3 - 3 \sqrt{5}}{2}$	$\frac{3 + 3 \sqrt{5}}{2}$	$\frac{3 - 3 \sqrt{5}}{2}$	$\frac{3 + 3 \sqrt{5}}{2}$	0	0	$\frac{- 3 + 3 i \sqrt{7}}{2}$	$\frac{- 3 - 3 i \sqrt{7}}{2}$	$\frac{- 3 + 3 i \sqrt{7}}{2}$	$\frac{- 3 - 3 i \sqrt{7}}{2}$	-3	-3	3	3	0	0	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	1	0	0	0	0	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	0	0	0	0	0	-1	0
χ₁₆	9	9	$\frac{3 - 3 \sqrt{5}}{2}$	$\frac{3 + 3 \sqrt{5}}{2}$	$\frac{3 - 3 \sqrt{5}}{2}$	$\frac{3 + 3 \sqrt{5}}{2}$	0	0	$\frac{- 3 - 3 i \sqrt{7}}{2}$	$\frac{- 3 + 3 i \sqrt{7}}{2}$	$\frac{- 3 - 3 i \sqrt{7}}{2}$	$\frac{- 3 + 3 i \sqrt{7}}{2}$	-3	-3	3	3	0	0	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	1	0	0	0	0	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	0	0	0	0	0	-1	0
χ₁₇	9	9	$\frac{3 + 3 \sqrt{5}}{2}$	$\frac{3 - 3 \sqrt{5}}{2}$	$\frac{3 + 3 \sqrt{5}}{2}$	$\frac{3 - 3 \sqrt{5}}{2}$	0	0	$\frac{- 3 + 3 i \sqrt{7}}{2}$	$\frac{- 3 - 3 i \sqrt{7}}{2}$	$\frac{- 3 + 3 i \sqrt{7}}{2}$	$\frac{- 3 - 3 i \sqrt{7}}{2}$	-3	-3	3	3	0	0	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	1	0	0	0	0	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	0	0	0	0	0	-1	0
χ₁₈	9	9	$\frac{3 + 3 \sqrt{5}}{2}$	$\frac{3 - 3 \sqrt{5}}{2}$	$\frac{3 + 3 \sqrt{5}}{2}$	$\frac{3 - 3 \sqrt{5}}{2}$	0	0	$\frac{- 3 - 3 i \sqrt{7}}{2}$	$\frac{- 3 + 3 i \sqrt{7}}{2}$	$\frac{- 3 - 3 i \sqrt{7}}{2}$	$\frac{- 3 + 3 i \sqrt{7}}{2}$	-3	-3	3	3	0	0	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	ζ⁹²+ζ¹⁴⁸+ζ¹⁷²+ζ²¹²+ζ²²⁸+ζ²⁶⁸	ζ⁴+ζ³⁶+ζ⁴⁴+ζ¹¹⁶+ζ¹⁵⁶+ζ²⁰⁴	ζ¹²+ζ⁵²+ζ⁶⁸+ζ¹⁰⁸+ζ¹³²+ζ¹⁸⁸	ζ⁷⁶+ζ¹²⁴+ζ¹⁶⁴+ζ²³⁶+ζ²⁴⁴+ζ²⁷⁶	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	1	0	0	0	0	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	0	0	0	0	0	-1	0
χ₁₉	12	12	-3	-3	-3	-3	3	3	$- 2 + 2 i \sqrt{7}$	$- 2 - 2 i \sqrt{7}$	$- 2 + 2 i \sqrt{7}$	$- 2 - 2 i \sqrt{7}$	0	-4	4	4	0	0	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	-1	1	1	0	0	0	0
χ₂₀	12	12	-3	-3	-3	-3	3	3	$- 2 - 2 i \sqrt{7}$	$- 2 + 2 i \sqrt{7}$	$- 2 - 2 i \sqrt{7}$	$- 2 + 2 i \sqrt{7}$	0	-4	4	4	0	0	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	-1	1	1	0	0	0	0
χ₂₁	12	-12	$- 3 + 3 \sqrt{5}$	$- 3 - 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	-6	6	-2	-2	2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1	1	-1	-1	0	0	−ζ²⁹+ζ³¹+ζ³⁹−ζ⁶¹−ζ⁶⁹+ζ⁷¹+ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹+ζ¹¹¹−ζ¹⁴¹−ζ¹⁴⁹+ζ¹⁵¹+ζ¹⁵⁹−ζ¹⁸¹+ζ¹⁹¹+ζ¹⁹⁹−ζ²²¹−ζ²²⁹+ζ²³⁹−ζ²⁶¹−ζ²⁶⁹+ζ²⁷¹+ζ²⁷⁹	ζ²⁹−ζ³¹−ζ³⁹+ζ⁶¹+ζ⁶⁹−ζ⁷¹−ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹−ζ¹¹¹+ζ¹⁴¹+ζ¹⁴⁹−ζ¹⁵¹−ζ¹⁵⁹+ζ¹⁸¹−ζ¹⁹¹−ζ¹⁹⁹+ζ²²¹+ζ²²⁹−ζ²³⁹+ζ²⁶¹+ζ²⁶⁹−ζ²⁷¹−ζ²⁷⁹	ζ¹³−ζ²³+ζ³⁷−ζ⁴⁷+ζ⁵³−ζ⁸⁷+ζ⁹³−ζ¹⁰³+ζ¹¹⁷−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷−ζ¹⁶⁷+ζ¹⁷³−ζ¹⁸³+ζ¹⁹⁷−ζ²⁰⁷+ζ²¹³−ζ²²³+ζ²³⁷−ζ²⁴⁷+ζ²⁵³−ζ²⁶³+ζ²⁷⁷	−ζ¹³+ζ²³−ζ³⁷+ζ⁴⁷−ζ⁵³+ζ⁸⁷−ζ⁹³+ζ¹⁰³−ζ¹¹⁷+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷+ζ¹⁶⁷−ζ¹⁷³+ζ¹⁸³−ζ¹⁹⁷+ζ²⁰⁷−ζ²¹³+ζ²²³−ζ²³⁷+ζ²⁴⁷−ζ²⁵³+ζ²⁶³−ζ²⁷⁷	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₂₂	12	-12	$- 3 + 3 \sqrt{5}$	$- 3 - 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	-6	6	-2	-2	2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1	1	-1	-1	0	0	ζ²⁹−ζ³¹−ζ³⁹+ζ⁶¹+ζ⁶⁹−ζ⁷¹−ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹−ζ¹¹¹+ζ¹⁴¹+ζ¹⁴⁹−ζ¹⁵¹−ζ¹⁵⁹+ζ¹⁸¹−ζ¹⁹¹−ζ¹⁹⁹+ζ²²¹+ζ²²⁹−ζ²³⁹+ζ²⁶¹+ζ²⁶⁹−ζ²⁷¹−ζ²⁷⁹	−ζ²⁹+ζ³¹+ζ³⁹−ζ⁶¹−ζ⁶⁹+ζ⁷¹+ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹+ζ¹¹¹−ζ¹⁴¹−ζ¹⁴⁹+ζ¹⁵¹+ζ¹⁵⁹−ζ¹⁸¹+ζ¹⁹¹+ζ¹⁹⁹−ζ²²¹−ζ²²⁹+ζ²³⁹−ζ²⁶¹−ζ²⁶⁹+ζ²⁷¹+ζ²⁷⁹	−ζ¹³+ζ²³−ζ³⁷+ζ⁴⁷−ζ⁵³+ζ⁸⁷−ζ⁹³+ζ¹⁰³−ζ¹¹⁷+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷+ζ¹⁶⁷−ζ¹⁷³+ζ¹⁸³−ζ¹⁹⁷+ζ²⁰⁷−ζ²¹³+ζ²²³−ζ²³⁷+ζ²⁴⁷−ζ²⁵³+ζ²⁶³−ζ²⁷⁷	ζ¹³−ζ²³+ζ³⁷−ζ⁴⁷+ζ⁵³−ζ⁸⁷+ζ⁹³−ζ¹⁰³+ζ¹¹⁷−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷−ζ¹⁶⁷+ζ¹⁷³−ζ¹⁸³+ζ¹⁹⁷−ζ²⁰⁷+ζ²¹³−ζ²²³+ζ²³⁷−ζ²⁴⁷+ζ²⁵³−ζ²⁶³+ζ²⁷⁷	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₂₃	12	-12	$- 3 - 3 \sqrt{5}$	$- 3 + 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	-6	6	-2	-2	2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1	1	-1	-1	0	0	−ζ¹³+ζ²³−ζ³⁷+ζ⁴⁷−ζ⁵³+ζ⁸⁷−ζ⁹³+ζ¹⁰³−ζ¹¹⁷+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷+ζ¹⁶⁷−ζ¹⁷³+ζ¹⁸³−ζ¹⁹⁷+ζ²⁰⁷−ζ²¹³+ζ²²³−ζ²³⁷+ζ²⁴⁷−ζ²⁵³+ζ²⁶³−ζ²⁷⁷	ζ¹³−ζ²³+ζ³⁷−ζ⁴⁷+ζ⁵³−ζ⁸⁷+ζ⁹³−ζ¹⁰³+ζ¹¹⁷−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷−ζ¹⁶⁷+ζ¹⁷³−ζ¹⁸³+ζ¹⁹⁷−ζ²⁰⁷+ζ²¹³−ζ²²³+ζ²³⁷−ζ²⁴⁷+ζ²⁵³−ζ²⁶³+ζ²⁷⁷	ζ²⁹−ζ³¹−ζ³⁹+ζ⁶¹+ζ⁶⁹−ζ⁷¹−ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹−ζ¹¹¹+ζ¹⁴¹+ζ¹⁴⁹−ζ¹⁵¹−ζ¹⁵⁹+ζ¹⁸¹−ζ¹⁹¹−ζ¹⁹⁹+ζ²²¹+ζ²²⁹−ζ²³⁹+ζ²⁶¹+ζ²⁶⁹−ζ²⁷¹−ζ²⁷⁹	−ζ²⁹+ζ³¹+ζ³⁹−ζ⁶¹−ζ⁶⁹+ζ⁷¹+ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹+ζ¹¹¹−ζ¹⁴¹−ζ¹⁴⁹+ζ¹⁵¹+ζ¹⁵⁹−ζ¹⁸¹+ζ¹⁹¹+ζ¹⁹⁹−ζ²²¹−ζ²²⁹+ζ²³⁹−ζ²⁶¹−ζ²⁶⁹+ζ²⁷¹+ζ²⁷⁹	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₂₄	12	-12	$- 3 - 3 \sqrt{5}$	$- 3 + 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	-6	6	-2	-2	2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1	1	-1	-1	0	0	ζ¹³−ζ²³+ζ³⁷−ζ⁴⁷+ζ⁵³−ζ⁸⁷+ζ⁹³−ζ¹⁰³+ζ¹¹⁷−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷−ζ¹⁶⁷+ζ¹⁷³−ζ¹⁸³+ζ¹⁹⁷−ζ²⁰⁷+ζ²¹³−ζ²²³+ζ²³⁷−ζ²⁴⁷+ζ²⁵³−ζ²⁶³+ζ²⁷⁷	−ζ¹³+ζ²³−ζ³⁷+ζ⁴⁷−ζ⁵³+ζ⁸⁷−ζ⁹³+ζ¹⁰³−ζ¹¹⁷+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷+ζ¹⁶⁷−ζ¹⁷³+ζ¹⁸³−ζ¹⁹⁷+ζ²⁰⁷−ζ²¹³+ζ²²³−ζ²³⁷+ζ²⁴⁷−ζ²⁵³+ζ²⁶³−ζ²⁷⁷	−ζ²⁹+ζ³¹+ζ³⁹−ζ⁶¹−ζ⁶⁹+ζ⁷¹+ζ⁷⁹−ζ¹⁰¹−ζ¹⁰⁹+ζ¹¹¹−ζ¹⁴¹−ζ¹⁴⁹+ζ¹⁵¹+ζ¹⁵⁹−ζ¹⁸¹+ζ¹⁹¹+ζ¹⁹⁹−ζ²²¹−ζ²²⁹+ζ²³⁹−ζ²⁶¹−ζ²⁶⁹+ζ²⁷¹+ζ²⁷⁹	ζ²⁹−ζ³¹−ζ³⁹+ζ⁶¹+ζ⁶⁹−ζ⁷¹−ζ⁷⁹+ζ¹⁰¹+ζ¹⁰⁹−ζ¹¹¹+ζ¹⁴¹+ζ¹⁴⁹−ζ¹⁵¹−ζ¹⁵⁹+ζ¹⁸¹−ζ¹⁹¹−ζ¹⁹⁹+ζ²²¹+ζ²²⁹−ζ²³⁹+ζ²⁶¹+ζ²⁶⁹−ζ²⁷¹−ζ²⁷⁹	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₂₅	15	15	0	0	0	0	-3	-3	$\frac{- 5 + 5 i \sqrt{7}}{2}$	$\frac{- 5 - 5 i \sqrt{7}}{2}$	$\frac{- 5 + 5 i \sqrt{7}}{2}$	$\frac{- 5 - 5 i \sqrt{7}}{2}$	3	-5	5	5	0	0	0	0	0	0	0	0	0	0	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	0	0	0	0	0	0	-1	0	0	0	0	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	1	-1	-1	0	0	1	0
χ₂₆	15	15	0	0	0	0	-3	-3	$\frac{- 5 - 5 i \sqrt{7}}{2}$	$\frac{- 5 + 5 i \sqrt{7}}{2}$	$\frac{- 5 - 5 i \sqrt{7}}{2}$	$\frac{- 5 + 5 i \sqrt{7}}{2}$	3	-5	5	5	0	0	0	0	0	0	0	0	0	0	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	0	0	0	0	0	0	-1	0	0	0	0	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	1	-1	-1	0	0	1	0
χ₂₇	16	-16	-4	-4	4	4	4	-4	$2 - 2 i \sqrt{7}$	$2 + 2 i \sqrt{7}$	$- 2 + 2 i \sqrt{7}$	$- 2 - 2 i \sqrt{7}$	0	0	0	0	4	-4	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	0	0	0	0	0	0	0	-1	-1	1	1	0	0	0	0	0	1	-1	0	0
χ₂₈	16	-16	-4	-4	4	4	4	-4	$2 + 2 i \sqrt{7}$	$2 - 2 i \sqrt{7}$	$- 2 - 2 i \sqrt{7}$	$- 2 + 2 i \sqrt{7}$	0	0	0	0	4	-4	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	0	0	0	0	0	0	0	-1	-1	1	1	0	0	0	0	0	1	-1	0	0
χ₂₉	16	-16	$- 4 + 4 \sqrt{5}$	$- 4 - 4 \sqrt{5}$	$4 - 4 \sqrt{5}$	$4 + 4 \sqrt{5}$	-8	8	2	2	-2	-2	0	0	0	0	-2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	-1	1	1	0	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	1	-1	0	0
χ₃₀	16	-16	$- 4 - 4 \sqrt{5}$	$- 4 + 4 \sqrt{5}$	$4 + 4 \sqrt{5}$	$4 - 4 \sqrt{5}$	-8	8	2	2	-2	-2	0	0	0	0	-2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	-1	1	1	0	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	1	-1	0	0
χ₃₁	18	18	$3 - 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	0	0	-3	-3	-3	-3	-6	6	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	-2	0	0	0	0	1	1	0	0	0	0	0	0	0
χ₃₂	18	18	$3 + 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	0	0	-3	-3	-3	-3	-6	6	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	-2	0	0	0	0	1	1	0	0	0	0	0	0	0
χ₃₃	21	21	$\frac{7 - 7 \sqrt{5}}{2}$	$\frac{7 + 7 \sqrt{5}}{2}$	$\frac{7 - 7 \sqrt{5}}{2}$	$\frac{7 + 7 \sqrt{5}}{2}$	0	0	0	0	0	0	-7	-3	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	1	-1
χ₃₄	21	21	$\frac{7 + 7 \sqrt{5}}{2}$	$\frac{7 - 7 \sqrt{5}}{2}$	$\frac{7 + 7 \sqrt{5}}{2}$	$\frac{7 - 7 \sqrt{5}}{2}$	0	0	0	0	0	0	-7	-3	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	1	-1
χ₃₅	24	24	-6	-6	-6	-6	6	6	-4	-4	-4	-4	0	8	0	0	0	0	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0
χ₃₆	24	24	$4 - 4 \sqrt{5}$	$4 + 4 \sqrt{5}$	$4 - 4 \sqrt{5}$	$4 + 4 \sqrt{5}$	0	0	3	3	3	3	-8	0	0	0	-3	-3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	-1	0	0	0	0	0	0	1
χ₃₇	24	24	$4 + 4 \sqrt{5}$	$4 - 4 \sqrt{5}$	$4 + 4 \sqrt{5}$	$4 - 4 \sqrt{5}$	0	0	3	3	3	3	-8	0	0	0	-3	-3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	-1	0	0	0	0	0	0	1
χ₃₈	24	-24	4	4	-4	-4	0	0	$3 - 3 i \sqrt{7}$	$3 + 3 i \sqrt{7}$	$- 3 + 3 i \sqrt{7}$	$- 3 - 3 i \sqrt{7}$	0	0	0	0	6	-6	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0
χ₃₉	24	-24	4	4	-4	-4	0	0	$3 + 3 i \sqrt{7}$	$3 - 3 i \sqrt{7}$	$- 3 - 3 i \sqrt{7}$	$- 3 + 3 i \sqrt{7}$	0	0	0	0	6	-6	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 + i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 - i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	$\frac{- 1 + i \sqrt{7}}{2}$	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0
χ₄₀	24	-24	-6	-6	6	6	6	-6	-4	-4	4	4	0	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₄₁	24	-24	-6	-6	6	6	6	-6	-4	-4	4	4	0	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₄₂	28	28	-7	-7	-7	-7	7	7	0	0	0	0	0	-4	-4	-4	4	4	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	0	-1	-1	-1	-1	0	0	-1	-1	-1	1	1	0	0
χ₄₃	30	30	0	0	0	0	-6	-6	-5	-5	-5	-5	6	10	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	0	0	0	0	0	0	2	0	0	0	0	-1	-1	-2	0	0	0	0	0	0
χ₄₄	32	32	-8	-8	-8	-8	8	8	4	4	4	4	0	0	0	0	-4	-4	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	1	1	1	1	0	0	0	0	0	-1	-1	0	0
χ₄₅	32	-32	-8	-8	8	8	8	-8	4	4	-4	-4	0	0	0	0	-4	4	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	0	0	0	0	0	0	0	1	1	-1	-1	0	0	0	0	0	-1	1	0	0
χ₄₆	35	35	0	0	0	0	-7	-7	0	0	0	0	7	-5	-5	-5	5	5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	1	1	1	-1	-1	-1	1
χ₄₇	36	-36	6	6	-6	-6	0	0	-6	-6	6	6	0	0	$6 \sqrt{2}$	$- 6 \sqrt{2}$	0	0	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	36	-36	6	6	-6	-6	0	0	-6	-6	6	6	0	0	$- 6 \sqrt{2}$	$6 \sqrt{2}$	0	0	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	40	40	0	0	0	0	-8	-8	5	5	5	5	8	0	0	0	-5	-5	0	0	0	0	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	1	1	0	-1
χ₅₀	48	-48	8	8	-8	-8	0	0	6	6	-6	-6	0	0	0	0	-6	6	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0	0

Here ζ is a primitive root of unity of order 280 (ζ²⁸⁰ = 1); i = ζ⁷⁰.

Character table — Group #72209753