Group #14278252 — 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	C₇₃	C₇₄	C₇₅	C₇₆	C₇₇	C₇₈	C₇₉	C₈₀	C₈₁	C₈₂	C₈₃	C₈₄	C₈₅	C₈₆	C₈₇
size	1	1	1	1	2	2	2	2	2	2	4	4	4	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	10	10	10	10	10	10	10	10	10	10	20	20	20	20	20	20	20	40	40	40	40	40	40	40	40	40	40	40	40	48	48	48	48	48	60	60	60	60	60	60	60	60	240
order	1	2	2	2	3	4	4	6	6	6	5	8	8	10	10	10	12	12	24	24	24	24	15	20	20	30	30	30	40	40	40	40	60	60	60	60	120	120	120	120	120	120	120	120	4	4	8	8	8	8	12	12	12	12	2	6	6	24	24	24	24	8	8	8	8	24	24	24	24	24	24	24	24	4	20	20	20	20	16	16	16	16	16	16	16	16	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	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	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	-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	-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	$i$	$i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	1	1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1
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	$i$	$i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1
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	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1
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	-2	-2	2	2	2	2	2	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	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	2	2	-2	-2	-2	-2	-2	-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	0	0
χ₁₁	2	2	2	2	2	-2	-2	2	2	2	2	0	0	2	2	2	-2	-2	0	0	0	0	2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	0	0	0	0	2	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	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0
χ₁₂	2	2	2	2	2	-2	-2	2	2	2	2	0	0	2	2	2	-2	-2	0	0	0	0	2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	0	0	0	0	2	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	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0
χ₁₃	2	2	2	2	2	-2	-2	2	2	2	2	0	0	2	2	2	-2	-2	0	0	0	0	2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	-2	-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	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0
χ₁₄	2	2	2	2	2	-2	-2	2	2	2	2	0	0	2	2	2	-2	-2	0	0	0	0	2	-2	-2	2	2	2	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	-2	-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	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0
χ₁₅	2	2	2	2	-1	2	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	2	2	2	2	-1	2	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₇	2	2	2	2	-1	2	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	1	1	1	1	-2	1	1	1	1	1	1	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	-1	2	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	1	1	1	1	-2	1	1	1	1	1	1	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	2	2	2	2	-1	2	2	-1	-1	-1	2	-2	-2	2	2	2	-1	-1	1	1	1	1	-1	2	2	-1	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	2	2	-2	-2	-2	-2	-1	-1	-1	-1	2	-1	-1	1	1	1	1	0	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	2	2	-1	2	2	-1	-1	-1	2	-2	-2	2	2	2	-1	-1	1	1	1	1	-1	2	2	-1	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	2	2	-2	-2	-2	-2	-1	-1	-1	-1	2	-1	-1	1	1	1	1	0	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	2	2	2	2	-1	2	2	-1	-1	-1	2	-2	-2	2	2	2	-1	-1	1	1	1	1	-1	2	2	-1	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-2	-2	2	2	2	2	1	1	1	1	-2	1	1	-1	-1	-1	-1	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	2	2	2	2	-1	2	2	-1	-1	-1	2	-2	-2	2	2	2	-1	-1	1	1	1	1	-1	2	2	-1	-1	-1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-2	-2	2	2	2	2	1	1	1	1	-2	1	1	-1	-1	-1	-1	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	2	-2	2	-2	2	0	0	2	-2	-2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	0	0	2	-2	-2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₂₄	2	-2	2	-2	2	0	0	2	-2	-2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	0	0	2	-2	-2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−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
χ₂₅	2	-2	2	-2	2	0	0	2	-2	-2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	0	0	2	-2	-2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−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
χ₂₆	2	-2	2	-2	2	0	0	2	-2	-2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	0	0	2	-2	-2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₂₇	2	-2	2	-2	2	0	0	2	-2	-2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	0	0	2	-2	-2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₂₈	2	-2	2	-2	2	0	0	2	-2	-2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	0	0	2	-2	-2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−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
χ₂₉	2	-2	2	-2	2	0	0	2	-2	-2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	0	0	2	-2	-2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−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
χ₃₀	2	-2	2	-2	2	0	0	2	-2	-2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	0	0	2	-2	-2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₃₁	2	-2	-2	2	2	2	-2	-2	-2	2	2	0	0	-2	2	-2	2	-2	0	0	0	0	2	2	-2	-2	-2	2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	$1 - i$	$- 1 + i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	2	-2	-2	2	2	2	-2	-2	-2	2	2	0	0	-2	2	-2	2	-2	0	0	0	0	2	2	-2	-2	-2	2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	$- 1 + i$	$1 - i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	2	-2	-2	2	2	2	-2	-2	-2	2	2	0	0	-2	2	-2	2	-2	0	0	0	0	2	2	-2	-2	-2	2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	$1 + i$	$- 1 - i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	2	-2	-2	2	2	2	-2	-2	-2	2	2	0	0	-2	2	-2	2	-2	0	0	0	0	2	2	-2	-2	-2	2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	$- 1 - i$	$1 + i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	2	-2	-2	2	-1	2	-2	1	1	-1	2	0	0	-2	2	-2	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	-1	2	-2	1	1	-1	0	0	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i$	$i$	$- i$	$i$	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	−ζ⁴⁴+ζ⁸⁸−ζ⁹²+ζ¹³⁶+ζ¹⁸⁴−ζ¹⁸⁸+ζ²³²−ζ²³⁶	ζ⁴⁴−ζ⁸⁸+ζ⁹²−ζ¹³⁶−ζ¹⁸⁴+ζ¹⁸⁸−ζ²³²+ζ²³⁶	ζ⁸−ζ²⁸+ζ⁵⁶−ζ⁷⁶+ζ¹⁰⁴−ζ¹²⁴+ζ¹⁵²−ζ¹⁷²	−ζ⁸+ζ²⁸−ζ⁵⁶+ζ⁷⁶−ζ¹⁰⁴+ζ¹²⁴−ζ¹⁵²+ζ¹⁷²	ζ⁴⁴+ζ⁸⁸+ζ⁹²+ζ¹³⁶+ζ¹⁸⁴+ζ¹⁸⁸+ζ²³²+ζ²³⁶	−ζ⁴⁴−ζ⁸⁸−ζ⁹²−ζ¹³⁶−ζ¹⁸⁴−ζ¹⁸⁸−ζ²³²−ζ²³⁶	ζ⁸+ζ²⁸+ζ⁵⁶+ζ⁷⁶+ζ¹⁰⁴+ζ¹²⁴+ζ¹⁵²+ζ¹⁷²	−ζ⁸−ζ²⁸−ζ⁵⁶−ζ⁷⁶−ζ¹⁰⁴−ζ¹²⁴−ζ¹⁵²−ζ¹⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	2	-2	-2	2	-1	2	-2	1	1	-1	2	0	0	-2	2	-2	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	-1	2	-2	1	1	-1	0	0	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i$	$i$	$- i$	$i$	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	ζ⁴⁴−ζ⁸⁸+ζ⁹²−ζ¹³⁶−ζ¹⁸⁴+ζ¹⁸⁸−ζ²³²+ζ²³⁶	−ζ⁴⁴+ζ⁸⁸−ζ⁹²+ζ¹³⁶+ζ¹⁸⁴−ζ¹⁸⁸+ζ²³²−ζ²³⁶	−ζ⁸+ζ²⁸−ζ⁵⁶+ζ⁷⁶−ζ¹⁰⁴+ζ¹²⁴−ζ¹⁵²+ζ¹⁷²	ζ⁸−ζ²⁸+ζ⁵⁶−ζ⁷⁶+ζ¹⁰⁴−ζ¹²⁴+ζ¹⁵²−ζ¹⁷²	−ζ⁴⁴−ζ⁸⁸−ζ⁹²−ζ¹³⁶−ζ¹⁸⁴−ζ¹⁸⁸−ζ²³²−ζ²³⁶	ζ⁴⁴+ζ⁸⁸+ζ⁹²+ζ¹³⁶+ζ¹⁸⁴+ζ¹⁸⁸+ζ²³²+ζ²³⁶	−ζ⁸−ζ²⁸−ζ⁵⁶−ζ⁷⁶−ζ¹⁰⁴−ζ¹²⁴−ζ¹⁵²−ζ¹⁷²	ζ⁸+ζ²⁸+ζ⁵⁶+ζ⁷⁶+ζ¹⁰⁴+ζ¹²⁴+ζ¹⁵²+ζ¹⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	2	-2	-2	2	-1	2	-2	1	1	-1	2	0	0	-2	2	-2	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	-1	2	-2	1	1	-1	0	0	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i$	$- i$	$i$	$- i$	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	ζ⁸+ζ²⁸+ζ⁵⁶+ζ⁷⁶+ζ¹⁰⁴+ζ¹²⁴+ζ¹⁵²+ζ¹⁷²	−ζ⁸−ζ²⁸−ζ⁵⁶−ζ⁷⁶−ζ¹⁰⁴−ζ¹²⁴−ζ¹⁵²−ζ¹⁷²	ζ⁴⁴+ζ⁸⁸+ζ⁹²+ζ¹³⁶+ζ¹⁸⁴+ζ¹⁸⁸+ζ²³²+ζ²³⁶	−ζ⁴⁴−ζ⁸⁸−ζ⁹²−ζ¹³⁶−ζ¹⁸⁴−ζ¹⁸⁸−ζ²³²−ζ²³⁶	ζ⁸−ζ²⁸+ζ⁵⁶−ζ⁷⁶+ζ¹⁰⁴−ζ¹²⁴+ζ¹⁵²−ζ¹⁷²	−ζ⁸+ζ²⁸−ζ⁵⁶+ζ⁷⁶−ζ¹⁰⁴+ζ¹²⁴−ζ¹⁵²+ζ¹⁷²	−ζ⁴⁴+ζ⁸⁸−ζ⁹²+ζ¹³⁶+ζ¹⁸⁴−ζ¹⁸⁸+ζ²³²−ζ²³⁶	ζ⁴⁴−ζ⁸⁸+ζ⁹²−ζ¹³⁶−ζ¹⁸⁴+ζ¹⁸⁸−ζ²³²+ζ²³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	2	-2	-2	2	-1	2	-2	1	1	-1	2	0	0	-2	2	-2	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	-1	2	-2	1	1	-1	0	0	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i$	$- i$	$i$	$- i$	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	−ζ⁸−ζ²⁸−ζ⁵⁶−ζ⁷⁶−ζ¹⁰⁴−ζ¹²⁴−ζ¹⁵²−ζ¹⁷²	ζ⁸+ζ²⁸+ζ⁵⁶+ζ⁷⁶+ζ¹⁰⁴+ζ¹²⁴+ζ¹⁵²+ζ¹⁷²	−ζ⁴⁴−ζ⁸⁸−ζ⁹²−ζ¹³⁶−ζ¹⁸⁴−ζ¹⁸⁸−ζ²³²−ζ²³⁶	ζ⁴⁴+ζ⁸⁸+ζ⁹²+ζ¹³⁶+ζ¹⁸⁴+ζ¹⁸⁸+ζ²³²+ζ²³⁶	−ζ⁸+ζ²⁸−ζ⁵⁶+ζ⁷⁶−ζ¹⁰⁴+ζ¹²⁴−ζ¹⁵²+ζ¹⁷²	ζ⁸−ζ²⁸+ζ⁵⁶−ζ⁷⁶+ζ¹⁰⁴−ζ¹²⁴+ζ¹⁵²−ζ¹⁷²	ζ⁴⁴−ζ⁸⁸+ζ⁹²−ζ¹³⁶−ζ¹⁸⁴+ζ¹⁸⁸−ζ²³²+ζ²³⁶	−ζ⁴⁴+ζ⁸⁸−ζ⁹²+ζ¹³⁶+ζ¹⁸⁴−ζ¹⁸⁸+ζ²³²−ζ²³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	2	-2	-2	2	-1	2	-2	1	1	-1	2	0	0	-2	2	-2	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	-1	2	-2	1	1	-1	0	0	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i$	$i$	$- i$	$i$	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	ζ⁸−ζ²⁸+ζ⁵⁶−ζ⁷⁶+ζ¹⁰⁴−ζ¹²⁴+ζ¹⁵²−ζ¹⁷²	−ζ⁸+ζ²⁸−ζ⁵⁶+ζ⁷⁶−ζ¹⁰⁴+ζ¹²⁴−ζ¹⁵²+ζ¹⁷²	−ζ⁴⁴+ζ⁸⁸−ζ⁹²+ζ¹³⁶+ζ¹⁸⁴−ζ¹⁸⁸+ζ²³²−ζ²³⁶	ζ⁴⁴−ζ⁸⁸+ζ⁹²−ζ¹³⁶−ζ¹⁸⁴+ζ¹⁸⁸−ζ²³²+ζ²³⁶	ζ⁸+ζ²⁸+ζ⁵⁶+ζ⁷⁶+ζ¹⁰⁴+ζ¹²⁴+ζ¹⁵²+ζ¹⁷²	−ζ⁸−ζ²⁸−ζ⁵⁶−ζ⁷⁶−ζ¹⁰⁴−ζ¹²⁴−ζ¹⁵²−ζ¹⁷²	ζ⁴⁴+ζ⁸⁸+ζ⁹²+ζ¹³⁶+ζ¹⁸⁴+ζ¹⁸⁸+ζ²³²+ζ²³⁶	−ζ⁴⁴−ζ⁸⁸−ζ⁹²−ζ¹³⁶−ζ¹⁸⁴−ζ¹⁸⁸−ζ²³²−ζ²³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	2	-2	-2	2	-1	2	-2	1	1	-1	2	0	0	-2	2	-2	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	-1	2	-2	1	1	-1	0	0	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i$	$i$	$- i$	$i$	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	−ζ⁸+ζ²⁸−ζ⁵⁶+ζ⁷⁶−ζ¹⁰⁴+ζ¹²⁴−ζ¹⁵²+ζ¹⁷²	ζ⁸−ζ²⁸+ζ⁵⁶−ζ⁷⁶+ζ¹⁰⁴−ζ¹²⁴+ζ¹⁵²−ζ¹⁷²	ζ⁴⁴−ζ⁸⁸+ζ⁹²−ζ¹³⁶−ζ¹⁸⁴+ζ¹⁸⁸−ζ²³²+ζ²³⁶	−ζ⁴⁴+ζ⁸⁸−ζ⁹²+ζ¹³⁶+ζ¹⁸⁴−ζ¹⁸⁸+ζ²³²−ζ²³⁶	−ζ⁸−ζ²⁸−ζ⁵⁶−ζ⁷⁶−ζ¹⁰⁴−ζ¹²⁴−ζ¹⁵²−ζ¹⁷²	ζ⁸+ζ²⁸+ζ⁵⁶+ζ⁷⁶+ζ¹⁰⁴+ζ¹²⁴+ζ¹⁵²+ζ¹⁷²	−ζ⁴⁴−ζ⁸⁸−ζ⁹²−ζ¹³⁶−ζ¹⁸⁴−ζ¹⁸⁸−ζ²³²−ζ²³⁶	ζ⁴⁴+ζ⁸⁸+ζ⁹²+ζ¹³⁶+ζ¹⁸⁴+ζ¹⁸⁸+ζ²³²+ζ²³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	2	-2	-2	2	-1	2	-2	1	1	-1	2	0	0	-2	2	-2	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	-1	2	-2	1	1	-1	0	0	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i$	$- i$	$i$	$- i$	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	ζ⁴⁴+ζ⁸⁸+ζ⁹²+ζ¹³⁶+ζ¹⁸⁴+ζ¹⁸⁸+ζ²³²+ζ²³⁶	−ζ⁴⁴−ζ⁸⁸−ζ⁹²−ζ¹³⁶−ζ¹⁸⁴−ζ¹⁸⁸−ζ²³²−ζ²³⁶	ζ⁸+ζ²⁸+ζ⁵⁶+ζ⁷⁶+ζ¹⁰⁴+ζ¹²⁴+ζ¹⁵²+ζ¹⁷²	−ζ⁸−ζ²⁸−ζ⁵⁶−ζ⁷⁶−ζ¹⁰⁴−ζ¹²⁴−ζ¹⁵²−ζ¹⁷²	−ζ⁴⁴+ζ⁸⁸−ζ⁹²+ζ¹³⁶+ζ¹⁸⁴−ζ¹⁸⁸+ζ²³²−ζ²³⁶	ζ⁴⁴−ζ⁸⁸+ζ⁹²−ζ¹³⁶−ζ¹⁸⁴+ζ¹⁸⁸−ζ²³²+ζ²³⁶	ζ⁸−ζ²⁸+ζ⁵⁶−ζ⁷⁶+ζ¹⁰⁴−ζ¹²⁴+ζ¹⁵²−ζ¹⁷²	−ζ⁸+ζ²⁸−ζ⁵⁶+ζ⁷⁶−ζ¹⁰⁴+ζ¹²⁴−ζ¹⁵²+ζ¹⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	2	-2	-2	2	-1	2	-2	1	1	-1	2	0	0	-2	2	-2	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	-1	2	-2	1	1	-1	0	0	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i$	$- i$	$i$	$- i$	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	−ζ⁴⁴−ζ⁸⁸−ζ⁹²−ζ¹³⁶−ζ¹⁸⁴−ζ¹⁸⁸−ζ²³²−ζ²³⁶	ζ⁴⁴+ζ⁸⁸+ζ⁹²+ζ¹³⁶+ζ¹⁸⁴+ζ¹⁸⁸+ζ²³²+ζ²³⁶	−ζ⁸−ζ²⁸−ζ⁵⁶−ζ⁷⁶−ζ¹⁰⁴−ζ¹²⁴−ζ¹⁵²−ζ¹⁷²	ζ⁸+ζ²⁸+ζ⁵⁶+ζ⁷⁶+ζ¹⁰⁴+ζ¹²⁴+ζ¹⁵²+ζ¹⁷²	ζ⁴⁴−ζ⁸⁸+ζ⁹²−ζ¹³⁶−ζ¹⁸⁴+ζ¹⁸⁸−ζ²³²+ζ²³⁶	−ζ⁴⁴+ζ⁸⁸−ζ⁹²+ζ¹³⁶+ζ¹⁸⁴−ζ¹⁸⁸+ζ²³²−ζ²³⁶	−ζ⁸+ζ²⁸−ζ⁵⁶+ζ⁷⁶−ζ¹⁰⁴+ζ¹²⁴−ζ¹⁵²+ζ¹⁷²	ζ⁸−ζ²⁸+ζ⁵⁶−ζ⁷⁶+ζ¹⁰⁴−ζ¹²⁴+ζ¹⁵²−ζ¹⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	4	4	4	4	4	4	4	4	4	-1	4	4	-1	-1	-1	4	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-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	0	0	0	0	0	0	0	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0
χ₄₄	4	4	4	4	4	4	4	4	4	4	-1	4	4	-1	-1	-1	4	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-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	0	0	0	0	0	0	0	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0
χ₄₅	4	4	4	4	4	4	4	4	4	4	-1	-4	-4	-1	-1	-1	4	4	-4	-4	-4	-4	-1	-1	-1	-1	-1	-1	1	1	1	1	-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	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0
χ₄₆	4	4	4	4	4	4	4	4	4	4	-1	-4	-4	-1	-1	-1	4	4	-4	-4	-4	-4	-1	-1	-1	-1	-1	-1	1	1	1	1	-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	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0
χ₄₇	4	4	4	4	-2	-4	-4	-2	-2	-2	4	0	0	4	4	4	2	2	0	0	0	0	-2	-4	-4	-2	-2	-2	0	0	0	0	2	2	2	2	0	0	0	0	0	0	0	0	4	4	0	0	0	0	-2	-2	-2	-2	-4	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
χ₄₈	4	4	4	4	-2	-4	-4	-2	-2	-2	4	0	0	4	4	4	2	2	0	0	0	0	-2	-4	-4	-2	-2	-2	0	0	0	0	2	2	2	2	0	0	0	0	0	0	0	0	-4	-4	0	0	0	0	2	2	2	2	4	-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
χ₄₉	4	4	-4	-4	4	0	0	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	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	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	4	-4	-4	4	0	0	-4	4	-4	4	0	0	4	-4	-4	0	0	0	0	0	0	4	0	0	-4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	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	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	4	-4	-4	-2	0	0	2	-2	2	4	0	0	4	-4	-4	0	0	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	-2	0	0	2	-2	2	0	0	0	0	0	0	0	0	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	4	4	-4	-4	-2	0	0	2	-2	2	4	0	0	4	-4	-4	0	0	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	-2	0	0	2	-2	2	0	0	0	0	0	0	0	0	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	4	4	-4	-4	-2	0	0	2	-2	2	4	0	0	4	-4	-4	0	0	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	-2	0	0	2	-2	2	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	4	4	-4	-4	-2	0	0	2	-2	2	4	0	0	4	-4	-4	0	0	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	-2	0	0	2	-2	2	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$- \sqrt{6}$	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	4	-4	4	-4	-2	0	0	-2	2	2	4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-4	-4	4	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	-2	2	2	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$4 i$	$- 4 i$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	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
χ₅₆	4	-4	4	-4	-2	0	0	-2	2	2	4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-4	-4	4	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	-2	2	2	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 4 i$	$4 i$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	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
χ₅₇	4	-4	4	-4	-2	0	0	-2	2	2	4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-4	-4	4	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	-2	2	2	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$4 i$	$- 4 i$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	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
χ₅₈	4	-4	4	-4	-2	0	0	-2	2	2	4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-4	-4	4	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	-2	2	2	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 4 i$	$4 i$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	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
χ₅₉	4	-4	-4	4	4	-4	4	-4	-4	4	4	0	0	-4	4	-4	-4	4	0	0	0	0	4	-4	4	-4	-4	4	0	0	0	0	-4	-4	4	4	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	4	-4	-4	4	4	-4	4	-4	-4	4	-1	0	0	1	-1	1	-4	4	0	0	0	0	-1	1	-1	1	1	-1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	-1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ²⁸+ζ⁴⁴−ζ⁷⁶−ζ⁹²+ζ¹²⁴−ζ¹⁷²+ζ¹⁸⁸−ζ²³⁶	−ζ²⁸−ζ⁴⁴+ζ⁷⁶+ζ⁹²−ζ¹²⁴+ζ¹⁷²−ζ¹⁸⁸+ζ²³⁶	ζ²⁸−ζ⁴⁴+ζ⁷⁶−ζ⁹²−ζ¹²⁴−ζ¹⁷²+ζ¹⁸⁸+ζ²³⁶	−ζ²⁸+ζ⁴⁴−ζ⁷⁶+ζ⁹²+ζ¹²⁴+ζ¹⁷²−ζ¹⁸⁸−ζ²³⁶	0	0	0	0	0	0	0	0	0
χ₆₁	4	-4	-4	4	4	-4	4	-4	-4	4	-1	0	0	1	-1	1	-4	4	0	0	0	0	-1	1	-1	1	1	-1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	-1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ²⁸−ζ⁴⁴+ζ⁷⁶+ζ⁹²−ζ¹²⁴+ζ¹⁷²−ζ¹⁸⁸+ζ²³⁶	ζ²⁸+ζ⁴⁴−ζ⁷⁶−ζ⁹²+ζ¹²⁴−ζ¹⁷²+ζ¹⁸⁸−ζ²³⁶	−ζ²⁸+ζ⁴⁴−ζ⁷⁶+ζ⁹²+ζ¹²⁴+ζ¹⁷²−ζ¹⁸⁸−ζ²³⁶	ζ²⁸−ζ⁴⁴+ζ⁷⁶−ζ⁹²−ζ¹²⁴−ζ¹⁷²+ζ¹⁸⁸+ζ²³⁶	0	0	0	0	0	0	0	0	0
χ₆₂	4	-4	-4	4	4	-4	4	-4	-4	4	-1	0	0	1	-1	1	-4	4	0	0	0	0	-1	1	-1	1	1	-1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	-1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ²⁸−ζ⁴⁴+ζ⁷⁶−ζ⁹²−ζ¹²⁴−ζ¹⁷²+ζ¹⁸⁸+ζ²³⁶	−ζ²⁸+ζ⁴⁴−ζ⁷⁶+ζ⁹²+ζ¹²⁴+ζ¹⁷²−ζ¹⁸⁸−ζ²³⁶	−ζ²⁸−ζ⁴⁴+ζ⁷⁶+ζ⁹²−ζ¹²⁴+ζ¹⁷²−ζ¹⁸⁸+ζ²³⁶	ζ²⁸+ζ⁴⁴−ζ⁷⁶−ζ⁹²+ζ¹²⁴−ζ¹⁷²+ζ¹⁸⁸−ζ²³⁶	0	0	0	0	0	0	0	0	0
χ₆₃	4	-4	-4	4	4	-4	4	-4	-4	4	-1	0	0	1	-1	1	-4	4	0	0	0	0	-1	1	-1	1	1	-1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	-1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ²⁸+ζ⁴⁴−ζ⁷⁶+ζ⁹²+ζ¹²⁴+ζ¹⁷²−ζ¹⁸⁸−ζ²³⁶	ζ²⁸−ζ⁴⁴+ζ⁷⁶−ζ⁹²−ζ¹²⁴−ζ¹⁷²+ζ¹⁸⁸+ζ²³⁶	ζ²⁸+ζ⁴⁴−ζ⁷⁶−ζ⁹²+ζ¹²⁴−ζ¹⁷²+ζ¹⁸⁸−ζ²³⁶	−ζ²⁸−ζ⁴⁴+ζ⁷⁶+ζ⁹²−ζ¹²⁴+ζ¹⁷²−ζ¹⁸⁸+ζ²³⁶	0	0	0	0	0	0	0	0	0
χ₆₄	4	-4	-4	4	-2	-4	4	2	2	-2	4	0	0	-4	4	-4	2	-2	0	0	0	0	-2	-4	4	2	2	-2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	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	0	0	0	0
χ₆₅	4	-4	-4	4	-2	-4	4	2	2	-2	4	0	0	-4	4	-4	2	-2	0	0	0	0	-2	-4	4	2	2	-2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	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	0	0	0	0
χ₆₆	8	8	8	8	8	-8	-8	8	8	8	-2	0	0	-2	-2	-2	-8	-8	0	0	0	0	-2	2	2	-2	-2	-2	0	0	0	0	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	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
χ₆₇	8	8	8	8	-4	8	8	-4	-4	-4	-2	8	8	-2	-2	-2	-4	-4	-4	-4	-4	-4	1	-2	-2	1	1	1	-2	-2	-2	-2	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	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	8	8	-4	8	8	-4	-4	-4	-2	-8	-8	-2	-2	-2	-4	-4	4	4	4	4	1	-2	-2	1	1	1	2	2	2	2	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	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	8	8	-4	-8	-8	-4	-4	-4	-2	0	0	-2	-2	-2	4	4	0	0	0	0	1	2	2	1	1	1	0	0	0	0	-1	-1	-1	-1	$- \sqrt{15}$	$\sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	8	8	8	8	-4	-8	-8	-4	-4	-4	-2	0	0	-2	-2	-2	4	4	0	0	0	0	1	2	2	1	1	1	0	0	0	0	-1	-1	-1	-1	$\sqrt{15}$	$- \sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	8	8	-8	-8	8	0	0	-8	8	-8	-2	0	0	-2	2	2	0	0	0	0	0	0	-2	0	0	2	-2	2	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	$\sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	8	8	-8	-8	8	0	0	-8	8	-8	-2	0	0	-2	2	2	0	0	0	0	0	0	-2	0	0	2	-2	2	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	$- \sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₃	8	8	-8	-8	-4	0	0	4	-4	4	-2	0	0	-2	2	2	0	0	$2 \sqrt{6}$	$- 2 \sqrt{6}$	$- 2 \sqrt{6}$	$2 \sqrt{6}$	1	0	0	-1	1	-1	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	$- \sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	−ζ¹⁴+ζ¹⁰⁶−ζ¹²²+ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	−ζ²⁶+ζ⁴⁶+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	ζ²⁶−ζ⁴⁶−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	ζ¹⁴−ζ¹⁰⁶+ζ¹²²−ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	ζ¹⁴−ζ¹⁰⁶+ζ¹²²−ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	ζ²⁶−ζ⁴⁶−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	−ζ²⁶+ζ⁴⁶+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	−ζ¹⁴+ζ¹⁰⁶−ζ¹²²+ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶−ζ²¹⁸+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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₄	8	8	-8	-8	-4	0	0	4	-4	4	-2	0	0	-2	2	2	0	0	$2 \sqrt{6}$	$- 2 \sqrt{6}$	$- 2 \sqrt{6}$	$2 \sqrt{6}$	1	0	0	-1	1	-1	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	$\sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	−ζ²⁶+ζ⁴⁶+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	−ζ¹⁴+ζ¹⁰⁶−ζ¹²²+ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	ζ¹⁴−ζ¹⁰⁶+ζ¹²²−ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	ζ²⁶−ζ⁴⁶−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	ζ²⁶−ζ⁴⁶−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	ζ¹⁴−ζ¹⁰⁶+ζ¹²²−ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	−ζ¹⁴+ζ¹⁰⁶−ζ¹²²+ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	−ζ²⁶+ζ⁴⁶+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₅	8	8	-8	-8	-4	0	0	4	-4	4	-2	0	0	-2	2	2	0	0	$- 2 \sqrt{6}$	$2 \sqrt{6}$	$2 \sqrt{6}$	$- 2 \sqrt{6}$	1	0	0	-1	1	-1	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	ζ²⁶−ζ⁴⁶−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	ζ¹⁴−ζ¹⁰⁶+ζ¹²²−ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	−ζ¹⁴+ζ¹⁰⁶−ζ¹²²+ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	−ζ²⁶+ζ⁴⁶+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	−ζ²⁶+ζ⁴⁶+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	−ζ¹⁴+ζ¹⁰⁶−ζ¹²²+ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	ζ¹⁴−ζ¹⁰⁶+ζ¹²²−ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	ζ²⁶−ζ⁴⁶−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₆	8	8	-8	-8	-4	0	0	4	-4	4	-2	0	0	-2	2	2	0	0	$- 2 \sqrt{6}$	$2 \sqrt{6}$	$2 \sqrt{6}$	$- 2 \sqrt{6}$	1	0	0	-1	1	-1	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	ζ¹⁴−ζ¹⁰⁶+ζ¹²²−ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	ζ²⁶−ζ⁴⁶−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	−ζ²⁶+ζ⁴⁶+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	−ζ¹⁴+ζ¹⁰⁶−ζ¹²²+ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	−ζ¹⁴+ζ¹⁰⁶−ζ¹²²+ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	−ζ²⁶+ζ⁴⁶+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	ζ²⁶−ζ⁴⁶−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	ζ¹⁴−ζ¹⁰⁶+ζ¹²²−ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶+ζ²¹⁸−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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₇	8	-8	8	-8	8	0	0	8	-8	-8	-2	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	2	-2	0	0	$4 \sqrt{2}$	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$- 4 \sqrt{2}$	-2	0	0	-2	2	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₈	8	-8	8	-8	8	0	0	8	-8	-8	-2	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	2	-2	0	0	$- 4 \sqrt{2}$	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$4 \sqrt{2}$	-2	0	0	-2	2	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₉	8	-8	8	-8	-4	0	0	-4	4	4	-2	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	2	-2	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	1	0	0	1	-1	-1	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{15}$	$\sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	−ζ²⁶+ζ⁴⁶−ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	ζ¹⁴−ζ¹⁰⁶−ζ¹²²+ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	ζ¹⁴−ζ¹⁰⁶−ζ¹²²+ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	−ζ²⁶+ζ⁴⁶−ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	ζ²⁶−ζ⁴⁶+ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	−ζ¹⁴+ζ¹⁰⁶+ζ¹²²−ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	−ζ¹⁴+ζ¹⁰⁶+ζ¹²²−ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	ζ²⁶−ζ⁴⁶+ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₀	8	-8	8	-8	-4	0	0	-4	4	4	-2	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	2	-2	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	1	0	0	1	-1	-1	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{15}$	$- \sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	ζ¹⁴−ζ¹⁰⁶−ζ¹²²+ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	−ζ²⁶+ζ⁴⁶−ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	−ζ²⁶+ζ⁴⁶−ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	ζ¹⁴−ζ¹⁰⁶−ζ¹²²+ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	−ζ¹⁴+ζ¹⁰⁶+ζ¹²²−ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	ζ²⁶−ζ⁴⁶+ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	ζ²⁶−ζ⁴⁶+ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	−ζ¹⁴+ζ¹⁰⁶+ζ¹²²−ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶+ζ²¹⁸−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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₁	8	-8	8	-8	-4	0	0	-4	4	4	-2	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	2	-2	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	1	0	0	1	-1	-1	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{15}$	$\sqrt{15}$	$\sqrt{15}$	$- \sqrt{15}$	ζ²⁶−ζ⁴⁶+ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	−ζ¹⁴+ζ¹⁰⁶+ζ¹²²−ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	−ζ¹⁴+ζ¹⁰⁶+ζ¹²²−ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	ζ²⁶−ζ⁴⁶+ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	−ζ²⁶+ζ⁴⁶−ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	ζ¹⁴−ζ¹⁰⁶−ζ¹²²+ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	ζ¹⁴−ζ¹⁰⁶−ζ¹²²+ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	−ζ²⁶+ζ⁴⁶−ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₂	8	-8	8	-8	-4	0	0	-4	4	4	-2	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	2	-2	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	1	0	0	1	-1	-1	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{15}$	$- \sqrt{15}$	$- \sqrt{15}$	$\sqrt{15}$	−ζ¹⁴+ζ¹⁰⁶+ζ¹²²−ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	ζ²⁶−ζ⁴⁶+ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	ζ²⁶−ζ⁴⁶+ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁹⁴−ζ¹⁵⁸+ζ²⁰²	−ζ¹⁴+ζ¹⁰⁶+ζ¹²²−ζ¹⁴²+ζ¹⁵⁴−ζ²⁰⁶+ζ²¹⁸−ζ²³⁸	ζ¹⁴−ζ¹⁰⁶−ζ¹²²+ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶−ζ²¹⁸+ζ²³⁸	−ζ²⁶+ζ⁴⁶−ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	−ζ²⁶+ζ⁴⁶−ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁹⁴+ζ¹⁵⁸−ζ²⁰²	ζ¹⁴−ζ¹⁰⁶−ζ¹²²+ζ¹⁴²−ζ¹⁵⁴+ζ²⁰⁶−ζ²¹⁸+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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₃	8	-8	-8	8	8	8	-8	-8	-8	8	-2	0	0	2	-2	2	8	-8	0	0	0	0	-2	-2	2	2	2	-2	0	0	0	0	-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	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
χ₈₄	8	-8	-8	8	-4	8	-8	4	4	-4	-2	0	0	2	-2	2	-4	4	$4 \sqrt{3}$	$- 4 \sqrt{3}$	$4 \sqrt{3}$	$- 4 \sqrt{3}$	1	-2	2	-1	-1	1	0	0	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₅	8	-8	-8	8	-4	8	-8	4	4	-4	-2	0	0	2	-2	2	-4	4	$- 4 \sqrt{3}$	$4 \sqrt{3}$	$- 4 \sqrt{3}$	$4 \sqrt{3}$	1	-2	2	-1	-1	1	0	0	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₆	8	-8	-8	8	-4	-8	8	4	4	-4	-2	0	0	2	-2	2	4	-4	0	0	0	0	1	2	-2	-1	-1	1	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-1	-1	1	1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₈₇	8	-8	-8	8	-4	-8	8	4	4	-4	-2	0	0	2	-2	2	4	-4	0	0	0	0	1	2	-2	-1	-1	1	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-1	-1	1	1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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 #14278252