Group #64462 — 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
size	1	4	4	4	4	4	4	25	25	25	1	4	4	4	4	4	4	25	25	25	1	4	4	4	4	4	4	25	25	25
order	1	5	25	25	25	25	25	2	4	4	3	15	75	75	75	75	75	6	12	12	3	15	75	75	75	75	75	6	12	12
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
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
χ₃	1	1	1	1	1	1	1	-1	$i$	$- i$	1	1	1	1	1	1	1	-1	$i$	$- i$	1	1	1	1	1	1	1	-1	$i$	$- i$
χ₄	1	1	1	1	1	1	1	-1	$- i$	$i$	1	1	1	1	1	1	1	-1	$- i$	$i$	1	1	1	1	1	1	1	-1	$- i$	$i$
χ₅	4	4	-1	-1	-1	-1	-1	0	0	0	4	4	-1	-1	-1	-1	-1	0	0	0	4	4	-1	-1	-1	-1	-1	0	0	0
χ₆	4	-1	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	0	0	0	4	-1	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	0	0	0	4	-1	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	0	0	0
χ₇	4	-1	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	0	0	0	4	-1	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	0	0	0	4	-1	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	0	0	0
χ₈	4	-1	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	0	0	0	4	-1	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	0	0	0	4	-1	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	0	0	0
χ₉	4	-1	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	0	0	0	4	-1	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	0	0	0	4	-1	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	0	0	0
χ₁₀	4	-1	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	0	0	0	4	-1	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	0	0	0	4	-1	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	0	0	0
χ₁₁	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₂	1	1	1	1	1	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₃	1	1	1	1	1	1	1	-1	$i$	$- i$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ⁵⁵−ζ¹¹⁵−ζ²³⁵−ζ²⁹⁵	ζ⁵⁵+ζ¹¹⁵+ζ²³⁵+ζ²⁹⁵	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ³⁵−ζ⁹⁵−ζ¹⁵⁵−ζ²¹⁵	ζ³⁵+ζ⁹⁵+ζ¹⁵⁵+ζ²¹⁵
χ₁₄	1	1	1	1	1	1	1	-1	$- i$	$i$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁵⁵+ζ¹¹⁵+ζ²³⁵+ζ²⁹⁵	−ζ⁵⁵−ζ¹¹⁵−ζ²³⁵−ζ²⁹⁵	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ³⁵+ζ⁹⁵+ζ¹⁵⁵+ζ²¹⁵	−ζ³⁵−ζ⁹⁵−ζ¹⁵⁵−ζ²¹⁵
χ₁₅	4	4	-1	-1	-1	-1	-1	0	0	0	$- 2 + 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	$- 2 - 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0
χ₁₆	4	-1	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	0	0	0	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²²+ζ⁸²+ζ¹⁴²−ζ²¹⁴+ζ²⁶²−ζ²⁸⁶−ζ²⁹⁸	−ζ²²+ζ³⁴−ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹¹⁸+ζ²¹⁴+ζ²³⁸+ζ²⁷⁴+ζ²⁹⁸	−ζ⁵⁸−ζ⁹⁴−ζ¹⁰⁶−ζ¹⁴²	−ζ³⁴−ζ¹⁶⁶−ζ²³⁸−ζ²⁶²	ζ⁴⁶−ζ⁸²+ζ¹⁰⁶−ζ¹¹⁸+ζ¹⁶⁶−ζ²⁷⁴+ζ²⁸⁶	0	0	0	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ¹⁴+ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹²²+ζ¹⁸²+ζ²⁴²	ζ¹⁴+ζ³⁸+ζ⁷⁴+ζ⁹⁸−ζ¹²²+ζ¹³⁴−ζ¹⁴⁶+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰⁶−ζ²⁴²	−ζ³⁸−ζ⁶²−ζ¹³⁴−ζ²⁶⁶	−ζ⁷⁴+ζ⁸⁶+ζ¹⁴⁶−ζ¹⁸²+ζ²⁰⁶−ζ²¹⁸+ζ²⁶⁶	0	0	0
χ₁₇	4	-1	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	0	0	0	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ²²+ζ³⁴−ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹¹⁸+ζ²¹⁴+ζ²³⁸+ζ²⁷⁴+ζ²⁹⁸	−ζ⁵⁸−ζ⁹⁴−ζ¹⁰⁶−ζ¹⁴²	−ζ³⁴−ζ¹⁶⁶−ζ²³⁸−ζ²⁶²	ζ⁴⁶−ζ⁸²+ζ¹⁰⁶−ζ¹¹⁸+ζ¹⁶⁶−ζ²⁷⁴+ζ²⁸⁶	ζ²²+ζ⁸²+ζ¹⁴²−ζ²¹⁴+ζ²⁶²−ζ²⁸⁶−ζ²⁹⁸	0	0	0	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁴+ζ³⁸+ζ⁷⁴+ζ⁹⁸−ζ¹²²+ζ¹³⁴−ζ¹⁴⁶+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰⁶−ζ²⁴²	−ζ³⁸−ζ⁶²−ζ¹³⁴−ζ²⁶⁶	−ζ⁷⁴+ζ⁸⁶+ζ¹⁴⁶−ζ¹⁸²+ζ²⁰⁶−ζ²¹⁸+ζ²⁶⁶	−ζ¹⁴+ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹²²+ζ¹⁸²+ζ²⁴²	0	0	0
χ₁₈	4	-1	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	0	0	0	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ⁵⁸−ζ⁹⁴−ζ¹⁰⁶−ζ¹⁴²	−ζ³⁴−ζ¹⁶⁶−ζ²³⁸−ζ²⁶²	ζ⁴⁶−ζ⁸²+ζ¹⁰⁶−ζ¹¹⁸+ζ¹⁶⁶−ζ²⁷⁴+ζ²⁸⁶	ζ²²+ζ⁸²+ζ¹⁴²−ζ²¹⁴+ζ²⁶²−ζ²⁸⁶−ζ²⁹⁸	−ζ²²+ζ³⁴−ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹¹⁸+ζ²¹⁴+ζ²³⁸+ζ²⁷⁴+ζ²⁹⁸	0	0	0	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰⁶−ζ²⁴²	−ζ³⁸−ζ⁶²−ζ¹³⁴−ζ²⁶⁶	−ζ⁷⁴+ζ⁸⁶+ζ¹⁴⁶−ζ¹⁸²+ζ²⁰⁶−ζ²¹⁸+ζ²⁶⁶	−ζ¹⁴+ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹²²+ζ¹⁸²+ζ²⁴²	ζ¹⁴+ζ³⁸+ζ⁷⁴+ζ⁹⁸−ζ¹²²+ζ¹³⁴−ζ¹⁴⁶+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	0	0	0
χ₁₉	4	-1	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	0	0	0	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ³⁴−ζ¹⁶⁶−ζ²³⁸−ζ²⁶²	ζ⁴⁶−ζ⁸²+ζ¹⁰⁶−ζ¹¹⁸+ζ¹⁶⁶−ζ²⁷⁴+ζ²⁸⁶	ζ²²+ζ⁸²+ζ¹⁴²−ζ²¹⁴+ζ²⁶²−ζ²⁸⁶−ζ²⁹⁸	−ζ²²+ζ³⁴−ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹¹⁸+ζ²¹⁴+ζ²³⁸+ζ²⁷⁴+ζ²⁹⁸	−ζ⁵⁸−ζ⁹⁴−ζ¹⁰⁶−ζ¹⁴²	0	0	0	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ³⁸−ζ⁶²−ζ¹³⁴−ζ²⁶⁶	−ζ⁷⁴+ζ⁸⁶+ζ¹⁴⁶−ζ¹⁸²+ζ²⁰⁶−ζ²¹⁸+ζ²⁶⁶	−ζ¹⁴+ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹²²+ζ¹⁸²+ζ²⁴²	ζ¹⁴+ζ³⁸+ζ⁷⁴+ζ⁹⁸−ζ¹²²+ζ¹³⁴−ζ¹⁴⁶+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰⁶−ζ²⁴²	0	0	0
χ₂₀	4	-1	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	0	0	0	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁴⁶−ζ⁸²+ζ¹⁰⁶−ζ¹¹⁸+ζ¹⁶⁶−ζ²⁷⁴+ζ²⁸⁶	ζ²²+ζ⁸²+ζ¹⁴²−ζ²¹⁴+ζ²⁶²−ζ²⁸⁶−ζ²⁹⁸	−ζ²²+ζ³⁴−ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹¹⁸+ζ²¹⁴+ζ²³⁸+ζ²⁷⁴+ζ²⁹⁸	−ζ⁵⁸−ζ⁹⁴−ζ¹⁰⁶−ζ¹⁴²	−ζ³⁴−ζ¹⁶⁶−ζ²³⁸−ζ²⁶²	0	0	0	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ⁷⁴+ζ⁸⁶+ζ¹⁴⁶−ζ¹⁸²+ζ²⁰⁶−ζ²¹⁸+ζ²⁶⁶	−ζ¹⁴+ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹²²+ζ¹⁸²+ζ²⁴²	ζ¹⁴+ζ³⁸+ζ⁷⁴+ζ⁹⁸−ζ¹²²+ζ¹³⁴−ζ¹⁴⁶+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰⁶−ζ²⁴²	−ζ³⁸−ζ⁶²−ζ¹³⁴−ζ²⁶⁶	0	0	0
χ₂₁	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₂₂	1	1	1	1	1	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₂₃	1	1	1	1	1	1	1	-1	$i$	$- i$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ³⁵−ζ⁹⁵−ζ¹⁵⁵−ζ²¹⁵	ζ³⁵+ζ⁹⁵+ζ¹⁵⁵+ζ²¹⁵	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ⁵⁵−ζ¹¹⁵−ζ²³⁵−ζ²⁹⁵	ζ⁵⁵+ζ¹¹⁵+ζ²³⁵+ζ²⁹⁵
χ₂₄	1	1	1	1	1	1	1	-1	$- i$	$i$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ³⁵+ζ⁹⁵+ζ¹⁵⁵+ζ²¹⁵	−ζ³⁵−ζ⁹⁵−ζ¹⁵⁵−ζ²¹⁵	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁵⁵+ζ¹¹⁵+ζ²³⁵+ζ²⁹⁵	−ζ⁵⁵−ζ¹¹⁵−ζ²³⁵−ζ²⁹⁵
χ₂₅	4	4	-1	-1	-1	-1	-1	0	0	0	$- 2 - 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	$- 2 + 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0
χ₂₆	4	-1	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	0	0	0	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ¹⁴+ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹²²+ζ¹⁸²+ζ²⁴²	ζ¹⁴+ζ³⁸+ζ⁷⁴+ζ⁹⁸−ζ¹²²+ζ¹³⁴−ζ¹⁴⁶+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰⁶−ζ²⁴²	−ζ³⁸−ζ⁶²−ζ¹³⁴−ζ²⁶⁶	−ζ⁷⁴+ζ⁸⁶+ζ¹⁴⁶−ζ¹⁸²+ζ²⁰⁶−ζ²¹⁸+ζ²⁶⁶	0	0	0	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ²²+ζ⁸²+ζ¹⁴²−ζ²¹⁴+ζ²⁶²−ζ²⁸⁶−ζ²⁹⁸	−ζ²²+ζ³⁴−ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹¹⁸+ζ²¹⁴+ζ²³⁸+ζ²⁷⁴+ζ²⁹⁸	−ζ⁵⁸−ζ⁹⁴−ζ¹⁰⁶−ζ¹⁴²	−ζ³⁴−ζ¹⁶⁶−ζ²³⁸−ζ²⁶²	ζ⁴⁶−ζ⁸²+ζ¹⁰⁶−ζ¹¹⁸+ζ¹⁶⁶−ζ²⁷⁴+ζ²⁸⁶	0	0	0
χ₂₇	4	-1	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	0	0	0	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	ζ¹⁴+ζ³⁸+ζ⁷⁴+ζ⁹⁸−ζ¹²²+ζ¹³⁴−ζ¹⁴⁶+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰⁶−ζ²⁴²	−ζ³⁸−ζ⁶²−ζ¹³⁴−ζ²⁶⁶	−ζ⁷⁴+ζ⁸⁶+ζ¹⁴⁶−ζ¹⁸²+ζ²⁰⁶−ζ²¹⁸+ζ²⁶⁶	−ζ¹⁴+ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹²²+ζ¹⁸²+ζ²⁴²	0	0	0	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ²²+ζ³⁴−ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹¹⁸+ζ²¹⁴+ζ²³⁸+ζ²⁷⁴+ζ²⁹⁸	−ζ⁵⁸−ζ⁹⁴−ζ¹⁰⁶−ζ¹⁴²	−ζ³⁴−ζ¹⁶⁶−ζ²³⁸−ζ²⁶²	ζ⁴⁶−ζ⁸²+ζ¹⁰⁶−ζ¹¹⁸+ζ¹⁶⁶−ζ²⁷⁴+ζ²⁸⁶	ζ²²+ζ⁸²+ζ¹⁴²−ζ²¹⁴+ζ²⁶²−ζ²⁸⁶−ζ²⁹⁸	0	0	0
χ₂₈	4	-1	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	0	0	0	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰⁶−ζ²⁴²	−ζ³⁸−ζ⁶²−ζ¹³⁴−ζ²⁶⁶	−ζ⁷⁴+ζ⁸⁶+ζ¹⁴⁶−ζ¹⁸²+ζ²⁰⁶−ζ²¹⁸+ζ²⁶⁶	−ζ¹⁴+ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹²²+ζ¹⁸²+ζ²⁴²	ζ¹⁴+ζ³⁸+ζ⁷⁴+ζ⁹⁸−ζ¹²²+ζ¹³⁴−ζ¹⁴⁶+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	0	0	0	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ⁵⁸−ζ⁹⁴−ζ¹⁰⁶−ζ¹⁴²	−ζ³⁴−ζ¹⁶⁶−ζ²³⁸−ζ²⁶²	ζ⁴⁶−ζ⁸²+ζ¹⁰⁶−ζ¹¹⁸+ζ¹⁶⁶−ζ²⁷⁴+ζ²⁸⁶	ζ²²+ζ⁸²+ζ¹⁴²−ζ²¹⁴+ζ²⁶²−ζ²⁸⁶−ζ²⁹⁸	−ζ²²+ζ³⁴−ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹¹⁸+ζ²¹⁴+ζ²³⁸+ζ²⁷⁴+ζ²⁹⁸	0	0	0
χ₂₉	4	-1	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	0	0	0	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ³⁸−ζ⁶²−ζ¹³⁴−ζ²⁶⁶	−ζ⁷⁴+ζ⁸⁶+ζ¹⁴⁶−ζ¹⁸²+ζ²⁰⁶−ζ²¹⁸+ζ²⁶⁶	−ζ¹⁴+ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹²²+ζ¹⁸²+ζ²⁴²	ζ¹⁴+ζ³⁸+ζ⁷⁴+ζ⁹⁸−ζ¹²²+ζ¹³⁴−ζ¹⁴⁶+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰⁶−ζ²⁴²	0	0	0	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ³⁴−ζ¹⁶⁶−ζ²³⁸−ζ²⁶²	ζ⁴⁶−ζ⁸²+ζ¹⁰⁶−ζ¹¹⁸+ζ¹⁶⁶−ζ²⁷⁴+ζ²⁸⁶	ζ²²+ζ⁸²+ζ¹⁴²−ζ²¹⁴+ζ²⁶²−ζ²⁸⁶−ζ²⁹⁸	−ζ²²+ζ³⁴−ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹¹⁸+ζ²¹⁴+ζ²³⁸+ζ²⁷⁴+ζ²⁹⁸	−ζ⁵⁸−ζ⁹⁴−ζ¹⁰⁶−ζ¹⁴²	0	0	0
χ₃₀	4	-1	−ζ⁴⁶+ζ⁷⁴+ζ⁸²−ζ⁸⁶−ζ¹⁰⁶+ζ¹¹⁸−ζ¹⁴⁶−ζ¹⁶⁶+ζ¹⁸²−ζ²⁰⁶+ζ²¹⁸−ζ²⁶⁶+ζ²⁷⁴−ζ²⁸⁶	ζ¹⁴−ζ²²−ζ⁶²−ζ⁸²+ζ⁸⁶+ζ⁹⁸−ζ¹²²−ζ¹⁴²−ζ¹⁸²+ζ²¹⁴−ζ²⁴²−ζ²⁶²+ζ²⁸⁶+ζ²⁹⁸	−ζ¹⁴+ζ²²−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸−ζ⁷⁴−ζ⁹⁴−ζ⁹⁸−ζ¹¹⁸+ζ¹²²−ζ¹³⁴+ζ¹⁴⁶−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁴−ζ²¹⁸−ζ²³⁸−ζ²⁷⁴−ζ²⁹⁸	ζ⁵⁸+ζ⁹⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²⁰⁶+ζ²⁴²	ζ³⁴+ζ³⁸+ζ⁶²+ζ¹³⁴+ζ¹⁶⁶+ζ²³⁸+ζ²⁶²+ζ²⁶⁶	0	0	0	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ⁷⁴+ζ⁸⁶+ζ¹⁴⁶−ζ¹⁸²+ζ²⁰⁶−ζ²¹⁸+ζ²⁶⁶	−ζ¹⁴+ζ⁶²−ζ⁸⁶−ζ⁹⁸+ζ¹²²+ζ¹⁸²+ζ²⁴²	ζ¹⁴+ζ³⁸+ζ⁷⁴+ζ⁹⁸−ζ¹²²+ζ¹³⁴−ζ¹⁴⁶+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	−ζ¹⁵⁸−ζ¹⁹⁴−ζ²⁰⁶−ζ²⁴²	−ζ³⁸−ζ⁶²−ζ¹³⁴−ζ²⁶⁶	0	0	0	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	ζ⁴⁶−ζ⁸²+ζ¹⁰⁶−ζ¹¹⁸+ζ¹⁶⁶−ζ²⁷⁴+ζ²⁸⁶	ζ²²+ζ⁸²+ζ¹⁴²−ζ²¹⁴+ζ²⁶²−ζ²⁸⁶−ζ²⁹⁸	−ζ²²+ζ³⁴−ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹¹⁸+ζ²¹⁴+ζ²³⁸+ζ²⁷⁴+ζ²⁹⁸	−ζ⁵⁸−ζ⁹⁴−ζ¹⁰⁶−ζ¹⁴²	−ζ³⁴−ζ¹⁶⁶−ζ²³⁸−ζ²⁶²	0	0	0

Here ζ is a primitive root of unity of order 300 (ζ³⁰⁰ = 1); i = ζ⁷⁵.

Character table — Group #64462