Group #72229676 — 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	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂
size	1	1	2	2	2	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	25	25	30	30	30	30	50	50	50	60	60	60	60	60	60	60	60	100	100	100	100	100	100	100	300	300
order	1	2	3	4	6	5	5	10	10	12	20	20	20	20	5	5	10	10	15	15	15	15	15	15	20	20	20	20	30	30	30	30	30	30	60	60	60	60	60	60	60	60	60	60	60	60	2	2	8	8	8	8	4	6	6	40	40	40	40	40	40	40	40	4	4	12	12	12	12	12	4	4
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	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	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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1
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	1	1	-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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	$i$	$- i$
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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	$- i$	$i$
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	-1	-1	1	1	1	1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	$- i$	$i$
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	-1	-1	1	1	1	1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	$i$	$- i$
χ₉	2	2	2	-2	2	2	2	2	2	-2	-2	-2	-2	-2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	0	0	0	0	-2	2	2	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0
χ₁₀	2	2	2	-2	2	2	2	2	2	-2	-2	-2	-2	-2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	2	-2	-2	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0
χ₁₁	2	2	-1	2	-1	2	2	2	2	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	2	-1	-1	0	0	0	0	0	0	0	0	2	2	-1	-1	-1	-1	-1	0	0
χ₁₂	2	2	-1	2	-1	2	2	2	2	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	2	-1	-1	0	0	0	0	0	0	0	0	-2	-2	-1	1	1	1	1	0	0
χ₁₃	2	2	-1	2	-1	2	2	2	2	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	-2	1	1	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	1	$- i$	$- i$	$i$	$i$	0	0
χ₁₄	2	2	-1	2	-1	2	2	2	2	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	-2	1	1	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	1	$i$	$i$	$- i$	$- i$	0	0
χ₁₅	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-2	-2	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	0	0	0	0	-2	-1	-1	0	0	0	0	0	0	0	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₁₆	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-2	-2	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	0	0	0	0	-2	-1	-1	0	0	0	0	0	0	0	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₁₇	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-2	-2	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-2	-2	0	0	0	0	2	1	1	0	0	0	0	0	0	0	0	0	0	-1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₁₈	2	2	-1	-2	-1	2	2	2	2	1	-2	-2	-2	-2	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-2	-2	0	0	0	0	2	1	1	0	0	0	0	0	0	0	0	0	0	-1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₁₉	2	-2	2	0	-2	2	2	-2	-2	0	0	0	0	0	2	2	-2	-2	2	2	2	2	2	2	0	0	0	0	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	-2	2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₂₀	2	-2	2	0	-2	2	2	-2	-2	0	0	0	0	0	2	2	-2	-2	2	2	2	2	2	2	0	0	0	0	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	-2	2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₂₁	2	-2	2	0	-2	2	2	-2	-2	0	0	0	0	0	2	2	-2	-2	2	2	2	2	2	2	0	0	0	0	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₂₂	2	-2	2	0	-2	2	2	-2	-2	0	0	0	0	0	2	2	-2	-2	2	2	2	2	2	2	0	0	0	0	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	4	4	4	-1	4	-1	4	4	4	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	4	4	0	0	0	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	4	4	4	-1	4	-1	4	4	4	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-4	-4	0	0	0	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	4	4	-1	4	-1	4	4	-1	-1	4	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	4	4	0	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	4	4	4	-1	4	-1	4	4	-1	-1	4	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	-4	-4	0	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	4	4	-4	4	4	-1	4	-1	-4	-4	-4	1	1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	1	1	1	1	4	-1	-1	-1	-1	-1	-4	-4	1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	-4	4	4	-1	4	-1	-4	-4	-4	1	1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	1	1	1	1	4	-1	-1	-1	-1	-1	-4	-4	1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	-4	4	-1	4	-1	4	-4	1	1	-4	-4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	1	1	1	1	-1	4	-1	-1	-1	-1	1	1	-4	-4	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	-4	4	-1	4	-1	4	-4	1	1	-4	-4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	1	1	1	1	-1	4	-1	-1	-1	-1	1	1	-4	-4	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	4	0	-4	4	-1	-4	1	0	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	-1	-1	1	1	4	-1	-1	-1	-1	-1	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	-4	1	1	1	1	1	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	ζ⁷+ζ²³+ζ²⁹+ζ⁴⁷+ζ⁶¹+ζ¹⁰¹+ζ¹⁰³+ζ¹⁰⁹	ζ¹³+ζ³¹+ζ³⁷+ζ⁵³+ζ⁷¹+ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	−ζ⁷−ζ²³−ζ²⁹−ζ⁴⁷−ζ⁶¹−ζ¹⁰¹−ζ¹⁰³−ζ¹⁰⁹	−ζ¹³−ζ³¹−ζ³⁷−ζ⁵³−ζ⁷¹−ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	4	0	-4	4	-1	-4	1	0	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	-1	-1	1	1	4	-1	-1	-1	-1	-1	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	-4	1	1	1	1	1	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	−ζ⁷−ζ²³−ζ²⁹−ζ⁴⁷−ζ⁶¹−ζ¹⁰¹−ζ¹⁰³−ζ¹⁰⁹	−ζ¹³−ζ³¹−ζ³⁷−ζ⁵³−ζ⁷¹−ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	ζ⁷+ζ²³+ζ²⁹+ζ⁴⁷+ζ⁶¹+ζ¹⁰¹+ζ¹⁰³+ζ¹⁰⁹	ζ¹³+ζ³¹+ζ³⁷+ζ⁵³+ζ⁷¹+ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	4	0	-4	4	-1	-4	1	0	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	-1	-1	1	1	4	-1	-1	-1	-1	-1	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	-4	1	1	1	1	1	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	ζ¹³+ζ³¹+ζ³⁷+ζ⁵³+ζ⁷¹+ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	ζ⁷+ζ²³+ζ²⁹+ζ⁴⁷+ζ⁶¹+ζ¹⁰¹+ζ¹⁰³+ζ¹⁰⁹	−ζ¹³−ζ³¹−ζ³⁷−ζ⁵³−ζ⁷¹−ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	−ζ⁷−ζ²³−ζ²⁹−ζ⁴⁷−ζ⁶¹−ζ¹⁰¹−ζ¹⁰³−ζ¹⁰⁹	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	4	0	-4	4	-1	-4	1	0	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	-1	-1	1	1	4	-1	-1	-1	-1	-1	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	-4	1	1	1	1	1	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	−ζ¹³−ζ³¹−ζ³⁷−ζ⁵³−ζ⁷¹−ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	−ζ⁷−ζ²³−ζ²⁹−ζ⁴⁷−ζ⁶¹−ζ¹⁰¹−ζ¹⁰³−ζ¹⁰⁹	ζ¹³+ζ³¹+ζ³⁷+ζ⁵³+ζ⁷¹+ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	ζ⁷+ζ²³+ζ²⁹+ζ⁴⁷+ζ⁶¹+ζ¹⁰¹+ζ¹⁰³+ζ¹⁰⁹	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	4	0	-4	-1	4	1	-4	0	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	-1	-1	1	1	-1	4	-1	-1	-1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	1	-4	1	1	1	1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	ζ⁷+ζ²³+ζ²⁹+ζ⁴⁷+ζ⁶¹+ζ¹⁰¹+ζ¹⁰³+ζ¹⁰⁹	ζ¹³+ζ³¹+ζ³⁷+ζ⁵³+ζ⁷¹+ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	−ζ⁷−ζ²³−ζ²⁹−ζ⁴⁷−ζ⁶¹−ζ¹⁰¹−ζ¹⁰³−ζ¹⁰⁹	−ζ¹³−ζ³¹−ζ³⁷−ζ⁵³−ζ⁷¹−ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	4	0	-4	-1	4	1	-4	0	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	-1	-1	1	1	-1	4	-1	-1	-1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	1	-4	1	1	1	1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	−ζ⁷−ζ²³−ζ²⁹−ζ⁴⁷−ζ⁶¹−ζ¹⁰¹−ζ¹⁰³−ζ¹⁰⁹	−ζ¹³−ζ³¹−ζ³⁷−ζ⁵³−ζ⁷¹−ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	ζ⁷+ζ²³+ζ²⁹+ζ⁴⁷+ζ⁶¹+ζ¹⁰¹+ζ¹⁰³+ζ¹⁰⁹	ζ¹³+ζ³¹+ζ³⁷+ζ⁵³+ζ⁷¹+ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	4	0	-4	-1	4	1	-4	0	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	-1	-1	1	1	-1	4	-1	-1	-1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	1	-4	1	1	1	1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	ζ¹³+ζ³¹+ζ³⁷+ζ⁵³+ζ⁷¹+ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	ζ⁷+ζ²³+ζ²⁹+ζ⁴⁷+ζ⁶¹+ζ¹⁰¹+ζ¹⁰³+ζ¹⁰⁹	−ζ¹³−ζ³¹−ζ³⁷−ζ⁵³−ζ⁷¹−ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	−ζ⁷−ζ²³−ζ²⁹−ζ⁴⁷−ζ⁶¹−ζ¹⁰¹−ζ¹⁰³−ζ¹⁰⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	4	0	-4	-1	4	1	-4	0	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	-1	-1	1	1	-1	4	-1	-1	-1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	1	-4	1	1	1	1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	−ζ¹³−ζ³¹−ζ³⁷−ζ⁵³−ζ⁷¹−ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	−ζ⁷−ζ²³−ζ²⁹−ζ⁴⁷−ζ⁶¹−ζ¹⁰¹−ζ¹⁰³−ζ¹⁰⁹	ζ¹³+ζ³¹+ζ³⁷+ζ⁵³+ζ⁷¹+ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	ζ⁷+ζ²³+ζ²⁹+ζ⁴⁷+ζ⁶¹+ζ¹⁰¹+ζ¹⁰³+ζ¹⁰⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	-2	0	2	4	4	-4	-4	0	0	0	0	0	4	4	-4	-4	-2	-2	-2	-2	-2	-2	0	0	0	0	2	2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	-2	0	2	4	4	-4	-4	0	0	0	0	0	4	4	-4	-4	-2	-2	-2	-2	-2	-2	0	0	0	0	2	2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	8	8	8	8	-2	-2	-2	-2	8	-2	-2	-2	-2	3	-2	3	-2	-2	-2	3	3	-2	-2	3	-2	-2	3	-2	-2	3	3	-2	-2	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	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
χ₄₂	8	8	8	8	8	-2	-2	-2	-2	8	-2	-2	-2	-2	-2	3	-2	3	-2	-2	-2	-2	3	3	-2	3	3	-2	-2	-2	-2	-2	3	3	-2	-2	-2	-2	-2	-2	3	3	3	3	-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	0	0
χ₄₃	8	8	8	-8	8	-2	-2	-2	-2	-8	2	2	2	2	3	-2	3	-2	-2	-2	3	3	-2	-2	-3	2	2	-3	-2	-2	3	3	-2	-2	2	2	2	2	-3	-3	2	2	2	2	-3	-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
χ₄₄	8	8	8	-8	8	-2	-2	-2	-2	-8	2	2	2	2	-2	3	-2	3	-2	-2	-2	-2	3	3	2	-3	-3	2	-2	-2	-2	-2	3	3	2	2	2	2	2	2	-3	-3	-3	-3	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	0	0
χ₄₅	8	8	-4	8	-4	8	-2	8	-2	-4	8	8	-2	-2	-2	-2	-2	-2	-4	1	1	1	1	1	-2	-2	-2	-2	-4	1	1	1	1	1	-4	-4	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	0	0	0	0	0	0	0	0
χ₄₆	8	8	-4	8	-4	-2	8	-2	8	-4	-2	-2	8	8	-2	-2	-2	-2	1	-4	1	1	1	1	-2	-2	-2	-2	1	-4	1	1	1	1	1	1	-4	-4	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	0	0	0	0	0	0	0	0
χ₄₇	8	8	-4	8	-4	-2	-2	-2	-2	-4	-2	-2	-2	-2	3	-2	3	-2	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	3	-2	-2	3	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	8	-4	8	-4	-2	-2	-2	-2	-4	-2	-2	-2	-2	3	-2	3	-2	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	3	-2	-2	3	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	8	-4	8	-4	-2	-2	-2	-2	-4	-2	-2	-2	-2	-2	3	-2	3	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	-2	3	3	-2	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	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	0	0
χ₅₀	8	8	-4	8	-4	-2	-2	-2	-2	-4	-2	-2	-2	-2	-2	3	-2	3	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	-2	3	3	-2	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	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	0	0
χ₅₁	8	8	-4	-8	-4	8	-2	8	-2	4	-8	-8	2	2	-2	-2	-2	-2	-4	1	1	1	1	1	2	2	2	2	-4	1	1	1	1	1	4	4	-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	0	0	0	0	0	0	0	0
χ₅₂	8	8	-4	-8	-4	-2	8	-2	8	4	2	2	-8	-8	-2	-2	-2	-2	1	-4	1	1	1	1	2	2	2	2	1	-4	1	1	1	1	-1	-1	4	4	-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	0	0	0	0	0	0	0	0
χ₅₃	8	8	-4	-8	-4	-2	-2	-2	-2	4	2	2	2	2	3	-2	3	-2	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	-3	2	2	-3	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	-1	-1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	8	-4	-8	-4	-2	-2	-2	-2	4	2	2	2	2	3	-2	3	-2	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	-3	2	2	-3	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	-1	-1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	8	8	-4	-8	-4	-2	-2	-2	-2	4	2	2	2	2	-2	3	-2	3	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	2	-3	-3	2	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	-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	0	0
χ₅₆	8	8	-4	-8	-4	-2	-2	-2	-2	4	2	2	2	2	-2	3	-2	3	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	2	-3	-3	2	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	-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	0	0
χ₅₇	8	-8	8	0	-8	-2	-2	2	2	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	3	-2	-3	2	-2	-2	3	3	-2	-2	$i \sqrt{5}$	0	0	$- i \sqrt{5}$	2	2	-3	-3	2	2	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	$- i \sqrt{5}$	$- i \sqrt{5}$	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
χ₅₈	8	-8	8	0	-8	-2	-2	2	2	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	-2	3	2	-3	-2	-2	-2	-2	3	3	0	$- i \sqrt{5}$	$i \sqrt{5}$	0	2	2	2	2	-3	-3	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	0	0	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	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
χ₅₉	8	-8	8	0	-8	-2	-2	2	2	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	-2	3	2	-3	-2	-2	-2	-2	3	3	0	$i \sqrt{5}$	$- i \sqrt{5}$	0	2	2	2	2	-3	-3	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	0	0	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	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
χ₆₀	8	-8	8	0	-8	-2	-2	2	2	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	3	-2	-3	2	-2	-2	3	3	-2	-2	$- i \sqrt{5}$	0	0	$i \sqrt{5}$	2	2	-3	-3	2	2	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	$i \sqrt{5}$	$i \sqrt{5}$	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
χ₆₁	8	-8	-4	0	4	8	-2	-8	2	0	0	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	-2	-2	2	2	-4	1	1	1	1	1	$- 2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$2 i \sqrt{5}$	4	-1	-1	-1	-1	-1	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	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
χ₆₂	8	-8	-4	0	4	8	-2	-8	2	0	0	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	-2	-2	2	2	-4	1	1	1	1	1	$2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- 2 i \sqrt{5}$	4	-1	-1	-1	-1	-1	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	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
χ₆₃	8	-8	-4	0	4	-2	8	2	-8	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	0	0	-2	-2	2	2	1	-4	1	1	1	1	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	-1	4	-1	-1	-1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	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
χ₆₄	8	-8	-4	0	4	-2	8	2	-8	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	0	0	-2	-2	2	2	1	-4	1	1	1	1	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	-1	4	-1	-1	-1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	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
χ₆₅	8	-8	-4	0	4	-2	-2	2	2	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	3	-2	-3	2	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	$i \sqrt{5}$	0	0	$- i \sqrt{5}$	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	-1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	−ζ²²+ζ⁴⁶+ζ⁹⁴−ζ¹¹⁸	ζ¹⁴−ζ³⁸−ζ⁶²+ζ⁸⁶	$- \sqrt{15}$	$\sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	ζ²²−ζ⁴⁶−ζ⁹⁴+ζ¹¹⁸	−ζ¹⁴+ζ³⁸+ζ⁶²−ζ⁸⁶	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
χ₆₆	8	-8	-4	0	4	-2	-2	2	2	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	3	-2	-3	2	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	$i \sqrt{5}$	0	0	$- i \sqrt{5}$	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	-1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	ζ¹⁴−ζ³⁸−ζ⁶²+ζ⁸⁶	−ζ²²+ζ⁴⁶+ζ⁹⁴−ζ¹¹⁸	$\sqrt{15}$	$- \sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	−ζ¹⁴+ζ³⁸+ζ⁶²−ζ⁸⁶	ζ²²−ζ⁴⁶−ζ⁹⁴+ζ¹¹⁸	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
χ₆₇	8	-8	-4	0	4	-2	-2	2	2	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	-2	3	2	-3	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	0	$- i \sqrt{5}$	$i \sqrt{5}$	0	-1	-1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- \sqrt{15}$	$\sqrt{15}$	ζ²²−ζ⁴⁶−ζ⁹⁴+ζ¹¹⁸	−ζ¹⁴+ζ³⁸+ζ⁶²−ζ⁸⁶	−ζ²²+ζ⁴⁶+ζ⁹⁴−ζ¹¹⁸	ζ¹⁴−ζ³⁸−ζ⁶²+ζ⁸⁶	$\sqrt{15}$	$- \sqrt{15}$	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
χ₆₈	8	-8	-4	0	4	-2	-2	2	2	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	-2	3	2	-3	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	0	$- i \sqrt{5}$	$i \sqrt{5}$	0	-1	-1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$\sqrt{15}$	$- \sqrt{15}$	−ζ¹⁴+ζ³⁸+ζ⁶²−ζ⁸⁶	ζ²²−ζ⁴⁶−ζ⁹⁴+ζ¹¹⁸	ζ¹⁴−ζ³⁸−ζ⁶²+ζ⁸⁶	−ζ²²+ζ⁴⁶+ζ⁹⁴−ζ¹¹⁸	$- \sqrt{15}$	$\sqrt{15}$	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
χ₆₉	8	-8	-4	0	4	-2	-2	2	2	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	-2	3	2	-3	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	0	$i \sqrt{5}$	$- i \sqrt{5}$	0	-1	-1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$\sqrt{15}$	$- \sqrt{15}$	−ζ²²+ζ⁴⁶+ζ⁹⁴−ζ¹¹⁸	ζ¹⁴−ζ³⁸−ζ⁶²+ζ⁸⁶	ζ²²−ζ⁴⁶−ζ⁹⁴+ζ¹¹⁸	−ζ¹⁴+ζ³⁸+ζ⁶²−ζ⁸⁶	$- \sqrt{15}$	$\sqrt{15}$	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
χ₇₀	8	-8	-4	0	4	-2	-2	2	2	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	-2	3	2	-3	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	0	$i \sqrt{5}$	$- i \sqrt{5}$	0	-1	-1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- \sqrt{15}$	$\sqrt{15}$	ζ¹⁴−ζ³⁸−ζ⁶²+ζ⁸⁶	−ζ²²+ζ⁴⁶+ζ⁹⁴−ζ¹¹⁸	−ζ¹⁴+ζ³⁸+ζ⁶²−ζ⁸⁶	ζ²²−ζ⁴⁶−ζ⁹⁴+ζ¹¹⁸	$\sqrt{15}$	$- \sqrt{15}$	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
χ₇₁	8	-8	-4	0	4	-2	-2	2	2	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	3	-2	-3	2	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	$- i \sqrt{5}$	0	0	$i \sqrt{5}$	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	-1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	ζ²²−ζ⁴⁶−ζ⁹⁴+ζ¹¹⁸	−ζ¹⁴+ζ³⁸+ζ⁶²−ζ⁸⁶	$\sqrt{15}$	$- \sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	−ζ²²+ζ⁴⁶+ζ⁹⁴−ζ¹¹⁸	ζ¹⁴−ζ³⁸−ζ⁶²+ζ⁸⁶	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
χ₇₂	8	-8	-4	0	4	-2	-2	2	2	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	3	-2	-3	2	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	$- i \sqrt{5}$	0	0	$i \sqrt{5}$	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	-1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	−ζ¹⁴+ζ³⁸+ζ⁶²−ζ⁸⁶	ζ²²−ζ⁴⁶−ζ⁹⁴+ζ¹¹⁸	$- \sqrt{15}$	$\sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	ζ¹⁴−ζ³⁸−ζ⁶²+ζ⁸⁶	−ζ²²+ζ⁴⁶+ζ⁹⁴−ζ¹¹⁸	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 #72229676