Group #14279313 — 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	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	8	16	16	16	16	16	16	16	20	20	24	24	24	24	24	24	24	24	24	24	40	40	40	40	40	80	80	80	80	80	80	120	120	120	120	240
order	1	2	2	3	6	4	5	6	10	2	10	10	10	10	10	12	15	20	20	30	30	30	6	30	30	30	30	60	60	4	4	2	4	10	10	10	10	20	20	20	20	2	6	6	12	12	4	4	12	12	12	12	8	8	8	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	-1	-1	$i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-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	$- i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-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	$i$	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	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	$- i$	$i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	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	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	2	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	0	0	0	0	0	0	0	0	0	0	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-1	-1	2	2	-1	2	2	2	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	0	0	0	0	0
χ₁₂	2	2	2	-1	-1	2	2	-1	2	2	2	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	2	-1	-1	-1	-1	-2	-2	1	1	1	1	0	0	0	0	0
χ₁₃	2	2	2	-1	-1	2	2	-1	2	2	2	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	1	1	1	1	$2 i$	$- 2 i$	$- i$	$- i$	$i$	$i$	0	0	0	0	0
χ₁₄	2	2	2	-1	-1	2	2	-1	2	2	2	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	1	1	1	1	$- 2 i$	$2 i$	$i$	$i$	$- i$	$- i$	0	0	0	0	0
χ₁₅	2	2	2	-1	-1	2	2	-1	2	-2	2	-2	-2	-2	-2	-1	-1	2	2	-1	-1	-1	1	1	1	1	1	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	-2	1	1	-1	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0
χ₁₆	2	2	2	-1	-1	2	2	-1	2	-2	2	-2	-2	-2	-2	-1	-1	2	2	-1	-1	-1	1	1	1	1	1	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	-2	1	1	-1	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0
χ₁₇	2	2	2	-1	-1	2	2	-1	2	-2	2	-2	-2	-2	-2	-1	-1	2	2	-1	-1	-1	1	1	1	1	1	-1	-1	-2	-2	0	0	0	0	0	0	0	0	0	0	2	-1	-1	1	1	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0
χ₁₈	2	2	2	-1	-1	2	2	-1	2	-2	2	-2	-2	-2	-2	-1	-1	2	2	-1	-1	-1	1	1	1	1	1	-1	-1	-2	-2	0	0	0	0	0	0	0	0	0	0	2	-1	-1	1	1	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0
χ₁₉	4	4	4	4	4	4	-1	4	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	0	0	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
χ₂₀	4	4	4	4	4	4	-1	4	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	0	0	-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
χ₂₁	4	4	4	4	4	4	-1	4	-1	-4	-1	1	1	1	1	4	-1	-1	-1	-1	-1	-1	-4	1	1	1	1	-1	-1	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	4	4	4	4	-1	4	-1	-4	-1	1	1	1	1	4	-1	-1	-1	-1	-1	-1	-4	1	1	1	1	-1	-1	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	4	4	-4	4	4	4	0	4	0	0	0	0	-4	4	-4	-4	4	4	4	0	0	0	0	0	-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
χ₂₄	4	4	4	4	4	-4	-1	4	-1	0	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	-4	-1	1	1	-1	-1	-1	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	0	0	0	0	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	4	4	-4	-1	4	-1	0	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	-4	-1	1	1	-1	-1	-1	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	0	0	0	0	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	4	4	4	-4	-1	4	-1	0	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	-4	-1	1	1	-1	-1	-1	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	0	0	0	0	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	4	4	4	4	-4	-1	4	-1	0	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	-4	-1	1	1	-1	-1	-1	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	0	0	0	0	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	-2	-2	-4	4	-2	4	0	4	0	0	0	0	2	-2	-4	-4	-2	-2	-2	0	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	-2	-2	-4	4	-2	4	0	4	0	0	0	0	2	-2	-4	-4	-2	-2	-2	0	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	-4	4	4	0	4	-4	4	0	-4	0	0	0	0	0	4	0	0	-4	-4	4	0	0	0	0	0	0	0	0	0	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
χ₃₁	4	4	-4	4	4	0	4	-4	4	0	-4	0	0	0	0	0	4	0	0	-4	-4	4	0	0	0	0	0	0	0	0	0	-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
χ₃₂	4	4	-4	4	4	0	-1	-4	-1	0	1	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	0	-1	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	0	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	$- \sqrt{5}$	$\sqrt{5}$	0	0	2	-2	−ζ⁴+ζ²⁸−ζ⁴⁴+ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-4	4	4	0	-1	-4	-1	0	1	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	0	-1	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	0	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	$- \sqrt{5}$	$\sqrt{5}$	0	0	-2	2	ζ⁴−ζ²⁸+ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴+ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-4	4	4	0	-1	-4	-1	0	1	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	0	-1	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	0	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	$- \sqrt{5}$	$\sqrt{5}$	0	0	2	-2	ζ⁴+ζ²⁸+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴+ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	4	-4	4	4	0	-1	-4	-1	0	1	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	0	-1	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	0	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	$- \sqrt{5}$	$\sqrt{5}$	0	0	-2	2	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴+ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	-4	4	4	0	-1	-4	-1	0	1	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	0	-1	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	0	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	$\sqrt{5}$	$- \sqrt{5}$	0	0	2	-2	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴+ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	4	-4	4	4	0	-1	-4	-1	0	1	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	0	-1	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	0	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	$\sqrt{5}$	$- \sqrt{5}$	0	0	-2	2	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴+ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	4	-4	4	4	0	-1	-4	-1	0	1	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	0	-1	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	0	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	$\sqrt{5}$	$- \sqrt{5}$	0	0	2	-2	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴+ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	4	-4	4	4	0	-1	-4	-1	0	1	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	0	-1	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	0	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	$\sqrt{5}$	$- \sqrt{5}$	0	0	-2	2	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴−ζ⁵²−ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴−ζ⁵²−ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴+ζ⁵²+ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴+ζ⁵²+ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	0	4	-4	0	4	0	-4	0	0	0	0	0	0	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₄₁	4	-4	0	4	-4	0	4	0	-4	0	0	0	0	0	0	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₄₂	4	-4	0	4	-4	0	4	0	-4	0	0	0	0	0	0	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0
χ₄₃	4	-4	0	4	-4	0	4	0	-4	0	0	0	0	0	0	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0
χ₄₄	8	8	8	-4	-4	8	-2	-4	-2	8	-2	-2	-2	-2	-2	-4	1	-2	-2	1	1	1	-4	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
χ₄₅	8	8	8	-4	-4	8	-2	-4	-2	-8	-2	2	2	2	2	-4	1	-2	-2	1	1	1	4	-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
χ₄₆	8	8	8	-4	-4	-8	-2	-4	-2	0	-2	$- 2 \sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$2 \sqrt{5}$	4	1	2	2	1	1	1	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	-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
χ₄₇	8	8	8	-4	-4	-8	-2	-4	-2	0	-2	$2 \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$- 2 \sqrt{5}$	4	1	2	2	1	1	1	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	-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
χ₄₈	8	8	-8	-4	-4	0	8	4	8	0	-8	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	8	-8	-4	-4	0	-2	4	-2	0	2	2ζ⁴−2ζ²⁸+2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²−2ζ¹¹⁶	−2ζ⁴+2ζ²⁸−2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²+2ζ¹¹⁶	2ζ⁴+2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸−2ζ⁷⁶−2ζ⁹²−2ζ¹¹⁶	−2ζ⁴−2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸+2ζ⁷⁶+2ζ⁹²+2ζ¹¹⁶	0	1	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-1	-1	1	0	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	$\sqrt{5}$	$- \sqrt{5}$	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
χ₅₀	8	8	-8	-4	-4	0	-2	4	-2	0	2	−2ζ⁴+2ζ²⁸−2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²+2ζ¹¹⁶	2ζ⁴−2ζ²⁸+2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²−2ζ¹¹⁶	−2ζ⁴−2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸+2ζ⁷⁶+2ζ⁹²+2ζ¹¹⁶	2ζ⁴+2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸−2ζ⁷⁶−2ζ⁹²−2ζ¹¹⁶	0	1	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-1	-1	1	0	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	$\sqrt{5}$	$- \sqrt{5}$	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
χ₅₁	8	8	-8	-4	-4	0	-2	4	-2	0	2	2ζ⁴+2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸−2ζ⁷⁶−2ζ⁹²−2ζ¹¹⁶	−2ζ⁴−2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸+2ζ⁷⁶+2ζ⁹²+2ζ¹¹⁶	−2ζ⁴+2ζ²⁸−2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²+2ζ¹¹⁶	2ζ⁴−2ζ²⁸+2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²−2ζ¹¹⁶	0	1	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-1	-1	1	0	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	$- \sqrt{5}$	$\sqrt{5}$	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
χ₅₂	8	8	-8	-4	-4	0	-2	4	-2	0	2	−2ζ⁴−2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸+2ζ⁷⁶+2ζ⁹²+2ζ¹¹⁶	2ζ⁴+2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸−2ζ⁷⁶−2ζ⁹²−2ζ¹¹⁶	2ζ⁴−2ζ²⁸+2ζ⁴⁴+2ζ⁵²−2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²−2ζ¹¹⁶	−2ζ⁴+2ζ²⁸−2ζ⁴⁴−2ζ⁵²+2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²+2ζ¹¹⁶	0	1	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-1	-1	1	0	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	$- \sqrt{5}$	$\sqrt{5}$	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
χ₅₃	8	-8	0	-4	4	0	8	0	-8	0	0	0	0	0	0	0	-4	0	0	0	0	4	0	0	0	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	-8	0	-4	4	0	8	0	-8	0	0	0	0	0	0	0	-4	0	0	0	0	4	0	0	0	0	0	0	0	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	16	-16	0	16	-16	0	-4	0	4	0	0	0	0	0	0	0	-4	0	0	0	0	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
χ₅₆	16	-16	0	-8	8	0	-4	0	4	0	0	0	0	0	0	0	2	0	0	$- 2 i \sqrt{15}$	$2 i \sqrt{15}$	-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
χ₅₇	16	-16	0	-8	8	0	-4	0	4	0	0	0	0	0	0	0	2	0	0	$2 i \sqrt{15}$	$- 2 i \sqrt{15}$	-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

Character table — Group #14279313