Group #6701 — 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
size	1	1	2	2	2	4	4	4	4	6	6	12	1	1	2	2	2	4	4	4	4	6	6	12	1	1	2	2	2	4	4	4	4	6	6	12	1	1	2	2	2	4	4	4	4	6	6	12	1	1	2	2	2	4	4	4	4	6	6	12
order	1	2	3	4	6	4	12	12	12	8	8	2	5	10	15	20	30	20	60	60	60	40	40	10	5	10	15	20	30	20	60	60	60	40	40	10	5	10	15	20	30	20	60	60	60	40	40	10	5	10	15	20	30	20	60	60	60	40	40	10
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
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
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
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
χ₅	2	2	2	-2	2	0	-2	0	0	0	0	0	2	2	2	-2	2	0	-2	0	0	0	0	0	2	2	2	-2	2	0	-2	0	0	0	0	0	2	2	2	-2	2	0	-2	0	0	0	0	0	2	2	2	-2	2	0	-2	0	0	0	0	0
χ₆	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2	2	-1	2	-1	2	-1	-1	-1	0	0	0
χ₇	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2	2	-1	2	-1	-2	-1	1	1	0	0	0
χ₈	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0
χ₉	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0
χ₁₀	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₁₁	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₁₂	4	-4	-2	0	2	0	0	0	0	0	0	0	4	-4	-2	0	2	0	0	0	0	0	0	0	4	-4	-2	0	2	0	0	0	0	0	0	0	4	-4	-2	0	2	0	0	0	0	0	0	0	4	-4	-2	0	2	0	0	0	0	0	0	0
χ₁₃	1	1	1	1	1	1	1	1	1	1	1	1	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶
χ₁₄	1	1	1	1	1	1	1	1	1	-1	-1	-1	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶
χ₁₅	1	1	1	1	1	-1	1	-1	-1	1	1	-1	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶
χ₁₆	1	1	1	1	1	-1	1	-1	-1	-1	-1	1	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶
χ₁₇	2	2	2	-2	2	0	-2	0	0	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	0
χ₁₈	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	0	0
χ₁₉	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	0	0	0
χ₂₀	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	ζ⁴+ζ⁴⁴	ζ⁴−ζ⁴⁴	−ζ⁴+ζ⁴⁴	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	ζ²⁸+ζ⁶⁸	ζ²⁸−ζ⁶⁸	−ζ²⁸+ζ⁶⁸	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	0	ζ⁵²+ζ⁹²	ζ⁵²−ζ⁹²	−ζ⁵²+ζ⁹²	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶+ζ¹¹⁶	0	0	0
χ₂₁	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	ζ⁴+ζ⁴⁴	−ζ⁴+ζ⁴⁴	ζ⁴−ζ⁴⁴	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	ζ²⁸+ζ⁶⁸	−ζ²⁸+ζ⁶⁸	ζ²⁸−ζ⁶⁸	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	0	ζ⁵²+ζ⁹²	−ζ⁵²+ζ⁹²	ζ⁵²−ζ⁹²	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶−ζ¹¹⁶	0	0	0
χ₂₂	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	ζ²⁹+ζ⁷⁹+ζ¹⁰⁹+ζ¹¹⁹	−ζ²⁹−ζ⁷⁹−ζ¹⁰⁹−ζ¹¹⁹	0	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	ζ¹³+ζ²³+ζ⁵³+ζ¹⁰³	−ζ¹³−ζ²³−ζ⁵³−ζ¹⁰³	0	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	ζ⁷+ζ³⁷+ζ⁴⁷+ζ⁷⁷	−ζ⁷−ζ³⁷−ζ⁴⁷−ζ⁷⁷	0	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	ζ³¹+ζ⁶¹+ζ⁷¹+ζ¹⁰¹	−ζ³¹−ζ⁶¹−ζ⁷¹−ζ¹⁰¹	0
χ₂₃	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	−ζ²⁹−ζ⁷⁹−ζ¹⁰⁹−ζ¹¹⁹	ζ²⁹+ζ⁷⁹+ζ¹⁰⁹+ζ¹¹⁹	0	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	−ζ¹³−ζ²³−ζ⁵³−ζ¹⁰³	ζ¹³+ζ²³+ζ⁵³+ζ¹⁰³	0	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	−ζ⁷−ζ³⁷−ζ⁴⁷−ζ⁷⁷	ζ⁷+ζ³⁷+ζ⁴⁷+ζ⁷⁷	0	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	−ζ³¹−ζ⁶¹−ζ⁷¹−ζ¹⁰¹	ζ³¹+ζ⁶¹+ζ⁷¹+ζ¹⁰¹	0
χ₂₄	4	-4	-2	0	2	0	0	0	0	0	0	0	4ζ⁴+4ζ⁴⁴	−4ζ⁴−4ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	0	2ζ⁴+2ζ⁴⁴	0	0	0	0	0	0	0	4ζ²⁸+4ζ⁶⁸	−4ζ²⁸−4ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	0	2ζ²⁸+2ζ⁶⁸	0	0	0	0	0	0	0	4ζ⁵²+4ζ⁹²	−4ζ⁵²−4ζ⁹²	−2ζ⁵²−2ζ⁹²	0	2ζ⁵²+2ζ⁹²	0	0	0	0	0	0	0	4ζ⁷⁶+4ζ¹¹⁶	−4ζ⁷⁶−4ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	0	2ζ⁷⁶+2ζ¹¹⁶	0	0	0	0	0	0	0
χ₂₅	1	1	1	1	1	1	1	1	1	1	1	1	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²
χ₂₆	1	1	1	1	1	1	1	1	1	-1	-1	-1	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²
χ₂₇	1	1	1	1	1	-1	1	-1	-1	1	1	-1	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²
χ₂₈	1	1	1	1	1	-1	1	-1	-1	-1	-1	1	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²
χ₂₉	2	2	2	-2	2	0	-2	0	0	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	0
χ₃₀	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	0	0	0
χ₃₁	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	0	0	0
χ₃₂	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	ζ²⁸+ζ⁶⁸	ζ²⁸−ζ⁶⁸	−ζ²⁸+ζ⁶⁸	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶+ζ¹¹⁶	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	ζ⁴+ζ⁴⁴	ζ⁴−ζ⁴⁴	−ζ⁴+ζ⁴⁴	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	0	ζ⁵²+ζ⁹²	ζ⁵²−ζ⁹²	−ζ⁵²+ζ⁹²	0	0	0
χ₃₃	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	ζ²⁸+ζ⁶⁸	−ζ²⁸+ζ⁶⁸	ζ²⁸−ζ⁶⁸	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶−ζ¹¹⁶	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	ζ⁴+ζ⁴⁴	−ζ⁴+ζ⁴⁴	ζ⁴−ζ⁴⁴	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	0	ζ⁵²+ζ⁹²	−ζ⁵²+ζ⁹²	ζ⁵²−ζ⁹²	0	0	0
χ₃₄	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	ζ¹³+ζ²³+ζ⁵³+ζ¹⁰³	−ζ¹³−ζ²³−ζ⁵³−ζ¹⁰³	0	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	ζ³¹+ζ⁶¹+ζ⁷¹+ζ¹⁰¹	−ζ³¹−ζ⁶¹−ζ⁷¹−ζ¹⁰¹	0	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	ζ²⁹+ζ⁷⁹+ζ¹⁰⁹+ζ¹¹⁹	−ζ²⁹−ζ⁷⁹−ζ¹⁰⁹−ζ¹¹⁹	0	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	ζ⁷+ζ³⁷+ζ⁴⁷+ζ⁷⁷	−ζ⁷−ζ³⁷−ζ⁴⁷−ζ⁷⁷	0
χ₃₅	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	−ζ¹³−ζ²³−ζ⁵³−ζ¹⁰³	ζ¹³+ζ²³+ζ⁵³+ζ¹⁰³	0	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	−ζ³¹−ζ⁶¹−ζ⁷¹−ζ¹⁰¹	ζ³¹+ζ⁶¹+ζ⁷¹+ζ¹⁰¹	0	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	−ζ²⁹−ζ⁷⁹−ζ¹⁰⁹−ζ¹¹⁹	ζ²⁹+ζ⁷⁹+ζ¹⁰⁹+ζ¹¹⁹	0	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	−ζ⁷−ζ³⁷−ζ⁴⁷−ζ⁷⁷	ζ⁷+ζ³⁷+ζ⁴⁷+ζ⁷⁷	0
χ₃₆	4	-4	-2	0	2	0	0	0	0	0	0	0	4ζ²⁸+4ζ⁶⁸	−4ζ²⁸−4ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	0	2ζ²⁸+2ζ⁶⁸	0	0	0	0	0	0	0	4ζ⁷⁶+4ζ¹¹⁶	−4ζ⁷⁶−4ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	0	2ζ⁷⁶+2ζ¹¹⁶	0	0	0	0	0	0	0	4ζ⁴+4ζ⁴⁴	−4ζ⁴−4ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	0	2ζ⁴+2ζ⁴⁴	0	0	0	0	0	0	0	4ζ⁵²+4ζ⁹²	−4ζ⁵²−4ζ⁹²	−2ζ⁵²−2ζ⁹²	0	2ζ⁵²+2ζ⁹²	0	0	0	0	0	0	0
χ₃₇	1	1	1	1	1	1	1	1	1	1	1	1	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸
χ₃₈	1	1	1	1	1	1	1	1	1	-1	-1	-1	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸
χ₃₉	1	1	1	1	1	-1	1	-1	-1	1	1	-1	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸
χ₄₀	1	1	1	1	1	-1	1	-1	-1	-1	-1	1	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸
χ₄₁	2	2	2	-2	2	0	-2	0	0	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	0
χ₄₂	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	0	0
χ₄₃	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	0	0	0
χ₄₄	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	0	ζ⁵²+ζ⁹²	ζ⁵²−ζ⁹²	−ζ⁵²+ζ⁹²	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	ζ⁴+ζ⁴⁴	ζ⁴−ζ⁴⁴	−ζ⁴+ζ⁴⁴	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶+ζ¹¹⁶	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	ζ²⁸+ζ⁶⁸	ζ²⁸−ζ⁶⁸	−ζ²⁸+ζ⁶⁸	0	0	0
χ₄₅	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	0	ζ⁵²+ζ⁹²	−ζ⁵²+ζ⁹²	ζ⁵²−ζ⁹²	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	ζ⁴+ζ⁴⁴	−ζ⁴+ζ⁴⁴	ζ⁴−ζ⁴⁴	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶−ζ¹¹⁶	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	ζ²⁸+ζ⁶⁸	−ζ²⁸+ζ⁶⁸	ζ²⁸−ζ⁶⁸	0	0	0
χ₄₆	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	ζ⁷+ζ³⁷+ζ⁴⁷+ζ⁷⁷	−ζ⁷−ζ³⁷−ζ⁴⁷−ζ⁷⁷	0	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	ζ²⁹+ζ⁷⁹+ζ¹⁰⁹+ζ¹¹⁹	−ζ²⁹−ζ⁷⁹−ζ¹⁰⁹−ζ¹¹⁹	0	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	ζ³¹+ζ⁶¹+ζ⁷¹+ζ¹⁰¹	−ζ³¹−ζ⁶¹−ζ⁷¹−ζ¹⁰¹	0	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	ζ¹³+ζ²³+ζ⁵³+ζ¹⁰³	−ζ¹³−ζ²³−ζ⁵³−ζ¹⁰³	0
χ₄₇	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	−ζ⁷−ζ³⁷−ζ⁴⁷−ζ⁷⁷	ζ⁷+ζ³⁷+ζ⁴⁷+ζ⁷⁷	0	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	−ζ²⁹−ζ⁷⁹−ζ¹⁰⁹−ζ¹¹⁹	ζ²⁹+ζ⁷⁹+ζ¹⁰⁹+ζ¹¹⁹	0	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	−ζ³¹−ζ⁶¹−ζ⁷¹−ζ¹⁰¹	ζ³¹+ζ⁶¹+ζ⁷¹+ζ¹⁰¹	0	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	−ζ¹³−ζ²³−ζ⁵³−ζ¹⁰³	ζ¹³+ζ²³+ζ⁵³+ζ¹⁰³	0
χ₄₈	4	-4	-2	0	2	0	0	0	0	0	0	0	4ζ⁵²+4ζ⁹²	−4ζ⁵²−4ζ⁹²	−2ζ⁵²−2ζ⁹²	0	2ζ⁵²+2ζ⁹²	0	0	0	0	0	0	0	4ζ⁴+4ζ⁴⁴	−4ζ⁴−4ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	0	2ζ⁴+2ζ⁴⁴	0	0	0	0	0	0	0	4ζ⁷⁶+4ζ¹¹⁶	−4ζ⁷⁶−4ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	0	2ζ⁷⁶+2ζ¹¹⁶	0	0	0	0	0	0	0	4ζ²⁸+4ζ⁶⁸	−4ζ²⁸−4ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	0	2ζ²⁸+2ζ⁶⁸	0	0	0	0	0	0	0
χ₄₉	1	1	1	1	1	1	1	1	1	1	1	1	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴
χ₅₀	1	1	1	1	1	1	1	1	1	-1	-1	-1	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴
χ₅₁	1	1	1	1	1	-1	1	-1	-1	1	1	-1	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴
χ₅₂	1	1	1	1	1	-1	1	-1	-1	-1	-1	1	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴
χ₅₃	2	2	2	-2	2	0	-2	0	0	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	0
χ₅₄	2	2	-1	2	-1	2	-1	-1	-1	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	−ζ⁵²−ζ⁹²	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	0	0
χ₅₅	2	2	-1	2	-1	-2	-1	1	1	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶+ζ¹¹⁶	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	ζ⁵²+ζ⁹²	ζ⁵²+ζ⁹²	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	ζ²⁸+ζ⁶⁸	ζ²⁸+ζ⁶⁸	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	ζ⁴+ζ⁴⁴	ζ⁴+ζ⁴⁴	0	0	0
χ₅₆	2	2	-1	-2	-1	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶−ζ¹¹⁶	−ζ⁷⁶+ζ¹¹⁶	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	0	ζ⁵²+ζ⁹²	ζ⁵²−ζ⁹²	−ζ⁵²+ζ⁹²	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	ζ²⁸+ζ⁶⁸	ζ²⁸−ζ⁶⁸	−ζ²⁸+ζ⁶⁸	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	ζ⁴+ζ⁴⁴	ζ⁴−ζ⁴⁴	−ζ⁴+ζ⁴⁴	0	0	0
χ₅₇	2	2	-1	-2	-1	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2ζ⁷⁶+2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	−ζ⁷⁶−ζ¹¹⁶	0	ζ⁷⁶+ζ¹¹⁶	−ζ⁷⁶+ζ¹¹⁶	ζ⁷⁶−ζ¹¹⁶	0	0	0	2ζ⁵²+2ζ⁹²	2ζ⁵²+2ζ⁹²	−ζ⁵²−ζ⁹²	−2ζ⁵²−2ζ⁹²	−ζ⁵²−ζ⁹²	0	ζ⁵²+ζ⁹²	−ζ⁵²+ζ⁹²	ζ⁵²−ζ⁹²	0	0	0	2ζ²⁸+2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	−ζ²⁸−ζ⁶⁸	0	ζ²⁸+ζ⁶⁸	−ζ²⁸+ζ⁶⁸	ζ²⁸−ζ⁶⁸	0	0	0	2ζ⁴+2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	−ζ⁴−ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	−ζ⁴−ζ⁴⁴	0	ζ⁴+ζ⁴⁴	−ζ⁴+ζ⁴⁴	ζ⁴−ζ⁴⁴	0	0	0
χ₅₈	2	-2	2	0	-2	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	ζ³¹+ζ⁶¹+ζ⁷¹+ζ¹⁰¹	−ζ³¹−ζ⁶¹−ζ⁷¹−ζ¹⁰¹	0	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	ζ⁷+ζ³⁷+ζ⁴⁷+ζ⁷⁷	−ζ⁷−ζ³⁷−ζ⁴⁷−ζ⁷⁷	0	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	ζ¹³+ζ²³+ζ⁵³+ζ¹⁰³	−ζ¹³−ζ²³−ζ⁵³−ζ¹⁰³	0	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	ζ²⁹+ζ⁷⁹+ζ¹⁰⁹+ζ¹¹⁹	−ζ²⁹−ζ⁷⁹−ζ¹⁰⁹−ζ¹¹⁹	0
χ₅₉	2	-2	2	0	-2	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2ζ⁷⁶+2ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	2ζ⁷⁶+2ζ¹¹⁶	0	−2ζ⁷⁶−2ζ¹¹⁶	0	0	0	0	−ζ³¹−ζ⁶¹−ζ⁷¹−ζ¹⁰¹	ζ³¹+ζ⁶¹+ζ⁷¹+ζ¹⁰¹	0	2ζ⁵²+2ζ⁹²	−2ζ⁵²−2ζ⁹²	2ζ⁵²+2ζ⁹²	0	−2ζ⁵²−2ζ⁹²	0	0	0	0	−ζ⁷−ζ³⁷−ζ⁴⁷−ζ⁷⁷	ζ⁷+ζ³⁷+ζ⁴⁷+ζ⁷⁷	0	2ζ²⁸+2ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	2ζ²⁸+2ζ⁶⁸	0	−2ζ²⁸−2ζ⁶⁸	0	0	0	0	−ζ¹³−ζ²³−ζ⁵³−ζ¹⁰³	ζ¹³+ζ²³+ζ⁵³+ζ¹⁰³	0	2ζ⁴+2ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	2ζ⁴+2ζ⁴⁴	0	−2ζ⁴−2ζ⁴⁴	0	0	0	0	−ζ²⁹−ζ⁷⁹−ζ¹⁰⁹−ζ¹¹⁹	ζ²⁹+ζ⁷⁹+ζ¹⁰⁹+ζ¹¹⁹	0
χ₆₀	4	-4	-2	0	2	0	0	0	0	0	0	0	4ζ⁷⁶+4ζ¹¹⁶	−4ζ⁷⁶−4ζ¹¹⁶	−2ζ⁷⁶−2ζ¹¹⁶	0	2ζ⁷⁶+2ζ¹¹⁶	0	0	0	0	0	0	0	4ζ⁵²+4ζ⁹²	−4ζ⁵²−4ζ⁹²	−2ζ⁵²−2ζ⁹²	0	2ζ⁵²+2ζ⁹²	0	0	0	0	0	0	0	4ζ²⁸+4ζ⁶⁸	−4ζ²⁸−4ζ⁶⁸	−2ζ²⁸−2ζ⁶⁸	0	2ζ²⁸+2ζ⁶⁸	0	0	0	0	0	0	0	4ζ⁴+4ζ⁴⁴	−4ζ⁴−4ζ⁴⁴	−2ζ⁴−2ζ⁴⁴	0	2ζ⁴+2ζ⁴⁴	0	0	0	0	0	0	0

Character table — Group #6701