Group #11746780 — 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	1	2	2	2	2	2	4	4	4	4	4	4	4	4	4	5	5	8	8	8	8	8	8	8	8	8	8	8	8	10	10	10	10	10	16	16	16	16	16	16	20	20	20	30	30	30	30	30	30	30	30	40	40	40	120	120
order	1	2	3	4	6	8	8	5	10	12	15	15	24	24	30	30	4	4	4	12	12	20	40	40	60	60	120	120	120	120	2	8	8	12	12	20	20	60	60	60	60	6	24	24	16	16	16	16	16	16	16	16	2	6	6	8	8
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	1	1	1	1	1	1	1	1	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
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	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	-1	-1	$i$	$- i$
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	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	-1	-1	$- i$	$i$
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	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	1	1	$- i$	$i$
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	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	1	1	$i$	$- i$
χ₉	2	2	2	2	2	-2	-2	2	2	2	2	2	-2	-2	2	2	2	2	0	0	0	2	-2	-2	2	2	-2	-2	-2	-2	2	-2	-2	2	2	0	0	0	0	0	0	2	-2	-2	0	0	0	0	0	0	0	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	0	0	0	2	-2	-2	2	2	-2	-2	-2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-2	2	0	0	2	2	-2	2	2	0	0	2	2	2	2	0	0	0	-2	0	0	-2	-2	0	0	0	0	-2	0	0	2	2	0	0	0	0	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₁₂	2	2	2	-2	2	0	0	2	2	-2	2	2	0	0	2	2	2	2	0	0	0	-2	0	0	-2	-2	0	0	0	0	-2	0	0	2	2	0	0	0	0	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₁₃	2	2	2	-2	2	0	0	2	2	-2	2	2	0	0	2	2	-2	-2	0	0	0	-2	0	0	-2	-2	0	0	0	0	2	0	0	-2	-2	0	0	0	0	0	0	2	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₁₄	2	2	2	-2	2	0	0	2	2	-2	2	2	0	0	2	2	-2	-2	0	0	0	-2	0	0	-2	-2	0	0	0	0	2	0	0	-2	-2	0	0	0	0	0	0	2	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₁₅	2	2	-1	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	2	-1	-1	0	0
χ₁₆	2	2	-1	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-2	1	1	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-2	-2	1	1	1	1	-1	-1	-1	0	0	0	0	0	0	0	0	-2	1	1	0	0
χ₁₇	2	2	-1	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	2	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	2	2	-1	-1	-1	-1	1	1	1	0	0	0	0	0	0	0	0	-2	1	1	0	0
χ₁₈	2	2	-1	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	-2	-2	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	2	-1	-1	0	0
χ₁₉	2	2	-1	2	-1	-2	-2	2	2	-1	-1	-1	1	1	-1	-1	2	2	0	$- i \sqrt{3}$	$i \sqrt{3}$	2	-2	-2	-1	-1	1	1	1	1	2	-2	-2	-1	-1	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	-1	1	1	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₂₀	2	2	-1	2	-1	-2	-2	2	2	-1	-1	-1	1	1	-1	-1	2	2	0	$i \sqrt{3}$	$- i \sqrt{3}$	2	-2	-2	-1	-1	1	1	1	1	2	-2	-2	-1	-1	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	-1	1	1	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₂₁	2	2	-1	2	-1	-2	-2	2	2	-1	-1	-1	1	1	-1	-1	-2	-2	0	$- i \sqrt{3}$	$i \sqrt{3}$	2	-2	-2	-1	-1	1	1	1	1	-2	2	2	1	1	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	1	-1	-1	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₂₂	2	2	-1	2	-1	-2	-2	2	2	-1	-1	-1	1	1	-1	-1	-2	-2	0	$i \sqrt{3}$	$- i \sqrt{3}$	2	-2	-2	-1	-1	1	1	1	1	-2	2	2	1	1	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	1	-1	-1	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₂₃	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$2 i$	$- 2 i$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹+ζ²²¹+ζ²²³+ζ²³⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹−ζ²²¹−ζ²²³−ζ²³⁹	ζ¹¹−ζ⁴¹+ζ⁴³+ζ⁵⁹−ζ⁷³−ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷+ζ¹³⁹−ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³−ζ²¹⁷−ζ²³³	−ζ¹¹+ζ⁴¹−ζ⁴³−ζ⁵⁹+ζ⁷³+ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷−ζ¹³⁹+ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³+ζ²¹⁷+ζ²³³	−ζ¹¹−ζ⁴¹−ζ⁴³−ζ⁵⁹−ζ⁷³−ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷−ζ¹³⁹−ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³−ζ²¹⁷−ζ²³³	ζ¹¹+ζ⁴¹+ζ⁴³+ζ⁵⁹+ζ⁷³+ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷+ζ¹³⁹+ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³+ζ²¹⁷+ζ²³³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³+ζ¹⁹¹−ζ²²¹+ζ²²³+ζ²³⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³−ζ¹⁹¹+ζ²²¹−ζ²²³−ζ²³⁹	0	0	0	0	0
χ₂₄	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$2 i$	$- 2 i$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹−ζ²²¹−ζ²²³−ζ²³⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹+ζ²²¹+ζ²²³+ζ²³⁹	−ζ¹¹+ζ⁴¹−ζ⁴³−ζ⁵⁹+ζ⁷³+ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷−ζ¹³⁹+ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³+ζ²¹⁷+ζ²³³	ζ¹¹−ζ⁴¹+ζ⁴³+ζ⁵⁹−ζ⁷³−ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷+ζ¹³⁹−ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³−ζ²¹⁷−ζ²³³	ζ¹¹+ζ⁴¹+ζ⁴³+ζ⁵⁹+ζ⁷³+ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷+ζ¹³⁹+ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³+ζ²¹⁷+ζ²³³	−ζ¹¹−ζ⁴¹−ζ⁴³−ζ⁵⁹−ζ⁷³−ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷−ζ¹³⁹−ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³−ζ²¹⁷−ζ²³³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³−ζ¹⁹¹+ζ²²¹−ζ²²³−ζ²³⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³+ζ¹⁹¹−ζ²²¹+ζ²²³+ζ²³⁹	0	0	0	0	0
χ₂₅	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$- 2 i$	$2 i$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ¹¹−ζ⁴¹−ζ⁴³−ζ⁵⁹−ζ⁷³−ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷−ζ¹³⁹−ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³−ζ²¹⁷−ζ²³³	ζ¹¹+ζ⁴¹+ζ⁴³+ζ⁵⁹+ζ⁷³+ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷+ζ¹³⁹+ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³+ζ²¹⁷+ζ²³³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³+ζ¹⁹¹−ζ²²¹+ζ²²³+ζ²³⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³−ζ¹⁹¹+ζ²²¹−ζ²²³−ζ²³⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹+ζ²²¹+ζ²²³+ζ²³⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹−ζ²²¹−ζ²²³−ζ²³⁹	ζ¹¹−ζ⁴¹+ζ⁴³+ζ⁵⁹−ζ⁷³−ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷+ζ¹³⁹−ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³−ζ²¹⁷−ζ²³³	−ζ¹¹+ζ⁴¹−ζ⁴³−ζ⁵⁹+ζ⁷³+ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷−ζ¹³⁹+ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³+ζ²¹⁷+ζ²³³	0	0	0	0	0
χ₂₆	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$- 2 i$	$2 i$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	ζ¹¹+ζ⁴¹+ζ⁴³+ζ⁵⁹+ζ⁷³+ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷+ζ¹³⁹+ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³+ζ²¹⁷+ζ²³³	−ζ¹¹−ζ⁴¹−ζ⁴³−ζ⁵⁹−ζ⁷³−ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷−ζ¹³⁹−ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³−ζ²¹⁷−ζ²³³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³−ζ¹⁹¹+ζ²²¹−ζ²²³−ζ²³⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³+ζ¹⁹¹−ζ²²¹+ζ²²³+ζ²³⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹−ζ²²¹−ζ²²³−ζ²³⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹+ζ²²¹+ζ²²³+ζ²³⁹	−ζ¹¹+ζ⁴¹−ζ⁴³−ζ⁵⁹+ζ⁷³+ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷−ζ¹³⁹+ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³+ζ²¹⁷+ζ²³³	ζ¹¹−ζ⁴¹+ζ⁴³+ζ⁵⁹−ζ⁷³−ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷+ζ¹³⁹−ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³−ζ²¹⁷−ζ²³³	0	0	0	0	0
χ₂₇	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$2 i$	$- 2 i$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	ζ¹¹−ζ⁴¹+ζ⁴³+ζ⁵⁹−ζ⁷³−ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷+ζ¹³⁹−ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³−ζ²¹⁷−ζ²³³	−ζ¹¹+ζ⁴¹−ζ⁴³−ζ⁵⁹+ζ⁷³+ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷−ζ¹³⁹+ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³+ζ²¹⁷+ζ²³³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹−ζ²²¹−ζ²²³−ζ²³⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹+ζ²²¹+ζ²²³+ζ²³⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³+ζ¹⁹¹−ζ²²¹+ζ²²³+ζ²³⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³−ζ¹⁹¹+ζ²²¹−ζ²²³−ζ²³⁹	ζ¹¹+ζ⁴¹+ζ⁴³+ζ⁵⁹+ζ⁷³+ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷+ζ¹³⁹+ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³+ζ²¹⁷+ζ²³³	−ζ¹¹−ζ⁴¹−ζ⁴³−ζ⁵⁹−ζ⁷³−ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷−ζ¹³⁹−ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³−ζ²¹⁷−ζ²³³	0	0	0	0	0
χ₂₈	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$2 i$	$- 2 i$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ¹¹+ζ⁴¹−ζ⁴³−ζ⁵⁹+ζ⁷³+ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷−ζ¹³⁹+ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³+ζ²¹⁷+ζ²³³	ζ¹¹−ζ⁴¹+ζ⁴³+ζ⁵⁹−ζ⁷³−ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷+ζ¹³⁹−ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³−ζ²¹⁷−ζ²³³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹+ζ²²¹+ζ²²³+ζ²³⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹−ζ²²¹−ζ²²³−ζ²³⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³−ζ¹⁹¹+ζ²²¹−ζ²²³−ζ²³⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³+ζ¹⁹¹−ζ²²¹+ζ²²³+ζ²³⁹	−ζ¹¹−ζ⁴¹−ζ⁴³−ζ⁵⁹−ζ⁷³−ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷−ζ¹³⁹−ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³−ζ²¹⁷−ζ²³³	ζ¹¹+ζ⁴¹+ζ⁴³+ζ⁵⁹+ζ⁷³+ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷+ζ¹³⁹+ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³+ζ²¹⁷+ζ²³³	0	0	0	0	0
χ₂₉	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$- 2 i$	$2 i$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³+ζ¹⁹¹−ζ²²¹+ζ²²³+ζ²³⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³−ζ¹⁹¹+ζ²²¹−ζ²²³−ζ²³⁹	ζ¹¹+ζ⁴¹+ζ⁴³+ζ⁵⁹+ζ⁷³+ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷+ζ¹³⁹+ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³+ζ²¹⁷+ζ²³³	−ζ¹¹−ζ⁴¹−ζ⁴³−ζ⁵⁹−ζ⁷³−ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷−ζ¹³⁹−ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³−ζ²¹⁷−ζ²³³	ζ¹¹−ζ⁴¹+ζ⁴³+ζ⁵⁹−ζ⁷³−ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷+ζ¹³⁹−ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³−ζ²¹⁷−ζ²³³	−ζ¹¹+ζ⁴¹−ζ⁴³−ζ⁵⁹+ζ⁷³+ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷−ζ¹³⁹+ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³+ζ²¹⁷+ζ²³³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹−ζ²²¹−ζ²²³−ζ²³⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹+ζ²²¹+ζ²²³+ζ²³⁹	0	0	0	0	0
χ₃₀	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$- 2 i$	$2 i$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³−ζ¹⁹¹+ζ²²¹−ζ²²³−ζ²³⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³+ζ¹⁹¹−ζ²²¹+ζ²²³+ζ²³⁹	−ζ¹¹−ζ⁴¹−ζ⁴³−ζ⁵⁹−ζ⁷³−ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷−ζ¹³⁹−ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³−ζ²¹⁷−ζ²³³	ζ¹¹+ζ⁴¹+ζ⁴³+ζ⁵⁹+ζ⁷³+ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷+ζ¹³⁹+ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³+ζ²¹⁷+ζ²³³	−ζ¹¹+ζ⁴¹−ζ⁴³−ζ⁵⁹+ζ⁷³+ζ⁸⁹−ζ⁹¹−ζ¹⁰⁷+ζ¹²¹+ζ¹³⁷−ζ¹³⁹+ζ¹⁶⁹−ζ¹⁸⁷−ζ²⁰³+ζ²¹⁷+ζ²³³	ζ¹¹−ζ⁴¹+ζ⁴³+ζ⁵⁹−ζ⁷³−ζ⁸⁹+ζ⁹¹+ζ¹⁰⁷−ζ¹²¹−ζ¹³⁷+ζ¹³⁹−ζ¹⁶⁹+ζ¹⁸⁷+ζ²⁰³−ζ²¹⁷−ζ²³³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁰⁹+ζ¹²⁷+ζ¹⁴³+ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹+ζ²²¹+ζ²²³+ζ²³⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁰⁹−ζ¹²⁷−ζ¹⁴³−ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹−ζ²²¹−ζ²²³−ζ²³⁹	0	0	0	0	0
χ₃₁	4	4	4	4	4	4	4	-1	-1	4	-1	-1	4	4	-1	-1	0	0	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	4	4	4	4	4	-1	-1	4	-1	-1	4	4	-1	-1	0	0	-4	-4	-4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	4	4	4	-4	-4	-1	-1	4	-1	-1	-4	-4	-1	-1	0	0	0	0	0	-1	1	1	-1	-1	1	1	1	1	0	0	0	0	0	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	4	4	4	-4	-4	-1	-1	4	-1	-1	-4	-4	-1	-1	0	0	0	0	0	-1	1	1	-1	-1	1	1	1	1	0	0	0	0	0	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	4	-2	4	-2	4	4	-1	-1	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	4	-2	-2	-1	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	-2	4	-2	4	4	-1	-1	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	-4	2	2	-1	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	1	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	4	-2	4	-2	4	4	-1	-1	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	4	-2	-2	-1	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	4	-2	4	-2	4	4	-1	-1	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	-4	2	2	-1	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	1	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	4	-2	4	-2	-4	-4	-1	-1	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-1	1	1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	$\sqrt{5}$	$- \sqrt{5}$	ζ⁵⁶−ζ⁸⁸+ζ¹⁰⁴−ζ²³²	ζ⁸−ζ¹³⁶+ζ¹⁵²−ζ¹⁸⁴	−ζ⁸+ζ¹³⁶−ζ¹⁵²+ζ¹⁸⁴	−ζ⁵⁶+ζ⁸⁸−ζ¹⁰⁴+ζ²³²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	4	-2	4	-2	-4	-4	-1	-1	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-1	1	1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	$- \sqrt{5}$	$\sqrt{5}$	−ζ⁵⁶+ζ⁸⁸−ζ¹⁰⁴+ζ²³²	−ζ⁸+ζ¹³⁶−ζ¹⁵²+ζ¹⁸⁴	ζ⁸−ζ¹³⁶+ζ¹⁵²−ζ¹⁸⁴	ζ⁵⁶−ζ⁸⁸+ζ¹⁰⁴−ζ²³²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	4	-2	4	-2	-4	-4	-1	-1	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-1	1	1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	$- \sqrt{5}$	$\sqrt{5}$	ζ⁸−ζ¹³⁶+ζ¹⁵²−ζ¹⁸⁴	ζ⁵⁶−ζ⁸⁸+ζ¹⁰⁴−ζ²³²	−ζ⁵⁶+ζ⁸⁸−ζ¹⁰⁴+ζ²³²	−ζ⁸+ζ¹³⁶−ζ¹⁵²+ζ¹⁸⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	4	-2	4	-2	-4	-4	-1	-1	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-1	1	1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	$\sqrt{5}$	$- \sqrt{5}$	−ζ⁸+ζ¹³⁶−ζ¹⁵²+ζ¹⁸⁴	−ζ⁵⁶+ζ⁸⁸−ζ¹⁰⁴+ζ²³²	ζ⁵⁶−ζ⁸⁸+ζ¹⁰⁴−ζ²³²	ζ⁸−ζ¹³⁶+ζ¹⁵²−ζ¹⁸⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	4	-2	-4	-2	0	0	4	4	2	-2	-2	0	0	-2	-2	4	4	0	0	0	-4	0	0	2	2	0	0	0	0	-4	0	0	-2	-2	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	4	-2	-4	-2	0	0	4	4	2	-2	-2	0	0	-2	-2	-4	-4	0	0	0	-4	0	0	2	2	0	0	0	0	4	0	0	2	2	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	-4	0	-2	-2	$- \sqrt{2}$	$\sqrt{2}$	2	2	$4 i$	$- 4 i$	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	-4	0	-2	-2	$- \sqrt{2}$	$\sqrt{2}$	2	2	$- 4 i$	$4 i$	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	-4	0	-2	-2	$\sqrt{2}$	$- \sqrt{2}$	2	2	$4 i$	$- 4 i$	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	-4	0	-2	-2	$\sqrt{2}$	$- \sqrt{2}$	2	2	$- 4 i$	$4 i$	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	8	8	-8	8	0	0	-2	-2	-8	-2	-2	0	0	-2	-2	0	0	0	0	0	2	0	0	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	0	0	0	0	0
χ₅₀	8	8	-4	-8	-4	0	0	-2	-2	4	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	0	2	0	0	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	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	0	0	0	0	0
χ₅₁	8	8	-4	-8	-4	0	0	-2	-2	4	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	0	2	0	0	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	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	0	0	0	0	0
χ₅₂	8	-8	8	0	-8	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-2	2	0	-2	-2	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	2	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	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	0
χ₅₃	8	-8	8	0	-8	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-2	2	0	-2	-2	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	2	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	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	0
χ₅₄	8	-8	-4	0	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-2	2	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	ζ¹⁴−ζ²⁶−ζ⁵⁸−ζ⁷⁴+ζ¹⁴²−ζ²⁰²+ζ²⁰⁶+ζ²³⁸	ζ⁴⁶+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶−ζ¹²²−ζ¹⁵⁴+ζ¹⁵⁸−ζ²¹⁸	−ζ¹⁴+ζ²⁶+ζ⁵⁸+ζ⁷⁴−ζ¹⁴²+ζ²⁰²−ζ²⁰⁶−ζ²³⁸	−ζ⁴⁶−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹²²+ζ¹⁵⁴−ζ¹⁵⁸+ζ²¹⁸	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	8	-8	-4	0	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-2	2	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	ζ⁴⁶+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶−ζ¹²²−ζ¹⁵⁴+ζ¹⁵⁸−ζ²¹⁸	ζ¹⁴−ζ²⁶−ζ⁵⁸−ζ⁷⁴+ζ¹⁴²−ζ²⁰²+ζ²⁰⁶+ζ²³⁸	−ζ⁴⁶−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹²²+ζ¹⁵⁴−ζ¹⁵⁸+ζ²¹⁸	−ζ¹⁴+ζ²⁶+ζ⁵⁸+ζ⁷⁴−ζ¹⁴²+ζ²⁰²−ζ²⁰⁶−ζ²³⁸	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	8	-8	-4	0	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-2	2	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	−ζ¹⁴+ζ²⁶+ζ⁵⁸+ζ⁷⁴−ζ¹⁴²+ζ²⁰²−ζ²⁰⁶−ζ²³⁸	−ζ⁴⁶−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹²²+ζ¹⁵⁴−ζ¹⁵⁸+ζ²¹⁸	ζ¹⁴−ζ²⁶−ζ⁵⁸−ζ⁷⁴+ζ¹⁴²−ζ²⁰²+ζ²⁰⁶+ζ²³⁸	ζ⁴⁶+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶−ζ¹²²−ζ¹⁵⁴+ζ¹⁵⁸−ζ²¹⁸	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	8	-8	-4	0	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-2	2	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	−ζ⁴⁶−ζ⁶²−ζ⁹⁴+ζ¹⁰⁶+ζ¹²²+ζ¹⁵⁴−ζ¹⁵⁸+ζ²¹⁸	−ζ¹⁴+ζ²⁶+ζ⁵⁸+ζ⁷⁴−ζ¹⁴²+ζ²⁰²−ζ²⁰⁶−ζ²³⁸	ζ⁴⁶+ζ⁶²+ζ⁹⁴−ζ¹⁰⁶−ζ¹²²−ζ¹⁵⁴+ζ¹⁵⁸−ζ²¹⁸	ζ¹⁴−ζ²⁶−ζ⁵⁸−ζ⁷⁴+ζ¹⁴²−ζ²⁰²+ζ²⁰⁶+ζ²³⁸	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 240 (ζ²⁴⁰ = 1); i = ζ⁶⁰.

Character table — Group #11746780