Group #64489 — 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
size	1	2	4	4	4	5	10	15	15	1	2	4	4	4	5	10	15	15	1	2	4	4	4	5	10	15	15	1	2	4	4	4	5	10	15	15	1	2	4	4	4	5	10	15	15
order	1	3	5	15	15	2	6	4	4	5	15	5	15	15	10	30	20	20	5	15	5	15	15	10	30	20	20	5	15	5	15	15	10	30	20	20	5	15	5	15	15	10	30	20	20
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
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
χ₃	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	-1	-1	$i$	$- i$
χ₄	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	-1	-1	$- i$	$i$
χ₅	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	-1	2	-1	0	0
χ₆	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0	2	-1	2	-1	-1	-2	1	0	0
χ₇	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	0	0	0	0
χ₈	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0
χ₉	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0
χ₁₀	1	1	1	1	1	1	1	1	1	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸
χ₁₁	1	1	1	1	1	1	1	-1	-1	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸
χ₁₂	1	1	1	1	1	-1	-1	$i$	$- i$	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−ζ⁷−ζ⁴⁷	ζ⁷+ζ⁴⁷	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁹−ζ⁵⁹	ζ¹⁹+ζ⁵⁹	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹¹−ζ³¹	ζ¹¹+ζ³¹	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ²³−ζ⁴³	ζ²³+ζ⁴³
χ₁₃	1	1	1	1	1	-1	-1	$- i$	$i$	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	ζ⁷+ζ⁴⁷	−ζ⁷−ζ⁴⁷	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	ζ¹⁹+ζ⁵⁹	−ζ¹⁹−ζ⁵⁹	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹¹+ζ³¹	−ζ¹¹−ζ³¹	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ²³+ζ⁴³	−ζ²³−ζ⁴³
χ₁₄	2	-1	2	-1	-1	2	-1	0	0	2ζ²+2ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	0	0	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	0	0	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	0	0	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	0	0
χ₁₅	2	-1	2	-1	-1	-2	1	0	0	2ζ²+2ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−2ζ²−2ζ²²	ζ²+ζ²²	0	0	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−2ζ¹⁴−2ζ³⁴	ζ¹⁴+ζ³⁴	0	0	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	ζ²⁶+ζ⁴⁶	0	0	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	ζ³⁸+ζ⁵⁸	0	0
χ₁₆	4	4	-1	-1	-1	0	0	0	0	4ζ²+4ζ²²	4ζ²+4ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	0	0	0	0	4ζ¹⁴+4ζ³⁴	4ζ¹⁴+4ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	0	0	0	0	4ζ²⁶+4ζ⁴⁶	4ζ²⁶+4ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	0	0	0	0	4ζ³⁸+4ζ⁵⁸	4ζ³⁸+4ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	0	0	0	0
χ₁₇	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4ζ²+4ζ²²	−2ζ²−2ζ²²	−ζ²−ζ²²	ζ²²−ζ²⁶−ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ²⁶+ζ³⁸−ζ⁴⁶−ζ⁵⁸	0	0	0	0	4ζ¹⁴+4ζ³⁴	−2ζ¹⁴−2ζ³⁴	−ζ¹⁴−ζ³⁴	ζ²+ζ¹⁴−ζ²²+ζ²⁶−ζ⁴⁶	−ζ²+ζ²²−ζ²⁶+ζ³⁴+ζ⁴⁶	0	0	0	0	4ζ²⁶+4ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁴+ζ²⁶−ζ³⁴+ζ³⁸−ζ⁵⁸	−ζ¹⁴+ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	4ζ³⁸+4ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ²−ζ¹⁴+ζ²²+ζ³⁴+ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ³⁴+ζ³⁸	0	0	0	0
χ₁₈	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4ζ²+4ζ²²	−2ζ²−2ζ²²	−ζ²−ζ²²	ζ²+ζ²⁶+ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²²−ζ²⁶−ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	4ζ¹⁴+4ζ³⁴	−2ζ¹⁴−2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ²+ζ²²−ζ²⁶+ζ³⁴+ζ⁴⁶	ζ²+ζ¹⁴−ζ²²+ζ²⁶−ζ⁴⁶	0	0	0	0	4ζ²⁶+4ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹⁴+ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ¹⁴+ζ²⁶−ζ³⁴+ζ³⁸−ζ⁵⁸	0	0	0	0	4ζ³⁸+4ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ³⁴+ζ³⁸	−ζ²−ζ¹⁴+ζ²²+ζ³⁴+ζ⁵⁸	0	0	0	0
χ₁₉	1	1	1	1	1	1	1	1	1	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶
χ₂₀	1	1	1	1	1	1	1	-1	-1	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶
χ₂₁	1	1	1	1	1	-1	-1	$i$	$- i$	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁹−ζ⁵⁹	ζ¹⁹+ζ⁵⁹	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ²³−ζ⁴³	ζ²³+ζ⁴³	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−ζ⁷−ζ⁴⁷	ζ⁷+ζ⁴⁷	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹¹−ζ³¹	ζ¹¹+ζ³¹
χ₂₂	1	1	1	1	1	-1	-1	$- i$	$i$	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	ζ¹⁹+ζ⁵⁹	−ζ¹⁹−ζ⁵⁹	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ²³+ζ⁴³	−ζ²³−ζ⁴³	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	ζ⁷+ζ⁴⁷	−ζ⁷−ζ⁴⁷	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹¹+ζ³¹	−ζ¹¹−ζ³¹
χ₂₃	2	-1	2	-1	-1	2	-1	0	0	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	0	0	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	0	0	2ζ²+2ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	0	0	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	0	0
χ₂₄	2	-1	2	-1	-1	-2	1	0	0	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−2ζ¹⁴−2ζ³⁴	ζ¹⁴+ζ³⁴	0	0	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	ζ³⁸+ζ⁵⁸	0	0	2ζ²+2ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−2ζ²−2ζ²²	ζ²+ζ²²	0	0	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	ζ²⁶+ζ⁴⁶	0	0
χ₂₅	4	4	-1	-1	-1	0	0	0	0	4ζ¹⁴+4ζ³⁴	4ζ¹⁴+4ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	0	0	0	0	4ζ³⁸+4ζ⁵⁸	4ζ³⁸+4ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	0	0	0	0	4ζ²+4ζ²²	4ζ²+4ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	0	0	0	0	4ζ²⁶+4ζ⁴⁶	4ζ²⁶+4ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	0	0	0	0
χ₂₆	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4ζ¹⁴+4ζ³⁴	−2ζ¹⁴−2ζ³⁴	−ζ¹⁴−ζ³⁴	ζ²+ζ¹⁴−ζ²²+ζ²⁶−ζ⁴⁶	−ζ²+ζ²²−ζ²⁶+ζ³⁴+ζ⁴⁶	0	0	0	0	4ζ³⁸+4ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ²−ζ¹⁴+ζ²²+ζ³⁴+ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ³⁴+ζ³⁸	0	0	0	0	4ζ²+4ζ²²	−2ζ²−2ζ²²	−ζ²−ζ²²	ζ²²−ζ²⁶−ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ²⁶+ζ³⁸−ζ⁴⁶−ζ⁵⁸	0	0	0	0	4ζ²⁶+4ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁴+ζ²⁶−ζ³⁴+ζ³⁸−ζ⁵⁸	−ζ¹⁴+ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0
χ₂₇	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4ζ¹⁴+4ζ³⁴	−2ζ¹⁴−2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ²+ζ²²−ζ²⁶+ζ³⁴+ζ⁴⁶	ζ²+ζ¹⁴−ζ²²+ζ²⁶−ζ⁴⁶	0	0	0	0	4ζ³⁸+4ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ³⁴+ζ³⁸	−ζ²−ζ¹⁴+ζ²²+ζ³⁴+ζ⁵⁸	0	0	0	0	4ζ²+4ζ²²	−2ζ²−2ζ²²	−ζ²−ζ²²	ζ²+ζ²⁶+ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²²−ζ²⁶−ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	4ζ²⁶+4ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹⁴+ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ¹⁴+ζ²⁶−ζ³⁴+ζ³⁸−ζ⁵⁸	0	0	0	0
χ₂₈	1	1	1	1	1	1	1	1	1	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴
χ₂₉	1	1	1	1	1	1	1	-1	-1	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴
χ₃₀	1	1	1	1	1	-1	-1	$i$	$- i$	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹¹−ζ³¹	ζ¹¹+ζ³¹	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−ζ⁷−ζ⁴⁷	ζ⁷+ζ⁴⁷	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ²³−ζ⁴³	ζ²³+ζ⁴³	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁹−ζ⁵⁹	ζ¹⁹+ζ⁵⁹
χ₃₁	1	1	1	1	1	-1	-1	$- i$	$i$	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹¹+ζ³¹	−ζ¹¹−ζ³¹	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	ζ⁷+ζ⁴⁷	−ζ⁷−ζ⁴⁷	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ²³+ζ⁴³	−ζ²³−ζ⁴³	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	ζ¹⁹+ζ⁵⁹	−ζ¹⁹−ζ⁵⁹
χ₃₂	2	-1	2	-1	-1	2	-1	0	0	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	0	0	2ζ²+2ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	0	0	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	0	0	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	0	0
χ₃₃	2	-1	2	-1	-1	-2	1	0	0	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	ζ²⁶+ζ⁴⁶	0	0	2ζ²+2ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−2ζ²−2ζ²²	ζ²+ζ²²	0	0	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	ζ³⁸+ζ⁵⁸	0	0	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−2ζ¹⁴−2ζ³⁴	ζ¹⁴+ζ³⁴	0	0
χ₃₄	4	4	-1	-1	-1	0	0	0	0	4ζ²⁶+4ζ⁴⁶	4ζ²⁶+4ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	0	0	0	0	4ζ²+4ζ²²	4ζ²+4ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	0	0	0	0	4ζ³⁸+4ζ⁵⁸	4ζ³⁸+4ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	0	0	0	0	4ζ¹⁴+4ζ³⁴	4ζ¹⁴+4ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	0	0	0	0
χ₃₅	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4ζ²⁶+4ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁴+ζ²⁶−ζ³⁴+ζ³⁸−ζ⁵⁸	−ζ¹⁴+ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	4ζ²+4ζ²²	−2ζ²−2ζ²²	−ζ²−ζ²²	ζ²²−ζ²⁶−ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ²⁶+ζ³⁸−ζ⁴⁶−ζ⁵⁸	0	0	0	0	4ζ³⁸+4ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ²−ζ¹⁴+ζ²²+ζ³⁴+ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ³⁴+ζ³⁸	0	0	0	0	4ζ¹⁴+4ζ³⁴	−2ζ¹⁴−2ζ³⁴	−ζ¹⁴−ζ³⁴	ζ²+ζ¹⁴−ζ²²+ζ²⁶−ζ⁴⁶	−ζ²+ζ²²−ζ²⁶+ζ³⁴+ζ⁴⁶	0	0	0	0
χ₃₆	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4ζ²⁶+4ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹⁴+ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ¹⁴+ζ²⁶−ζ³⁴+ζ³⁸−ζ⁵⁸	0	0	0	0	4ζ²+4ζ²²	−2ζ²−2ζ²²	−ζ²−ζ²²	ζ²+ζ²⁶+ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²²−ζ²⁶−ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	4ζ³⁸+4ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ³⁴+ζ³⁸	−ζ²−ζ¹⁴+ζ²²+ζ³⁴+ζ⁵⁸	0	0	0	0	4ζ¹⁴+4ζ³⁴	−2ζ¹⁴−2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ²+ζ²²−ζ²⁶+ζ³⁴+ζ⁴⁶	ζ²+ζ¹⁴−ζ²²+ζ²⁶−ζ⁴⁶	0	0	0	0
χ₃₇	1	1	1	1	1	1	1	1	1	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²
χ₃₈	1	1	1	1	1	1	1	-1	-1	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²
χ₃₉	1	1	1	1	1	-1	-1	$i$	$- i$	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ²³−ζ⁴³	ζ²³+ζ⁴³	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹¹−ζ³¹	ζ¹¹+ζ³¹	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁹−ζ⁵⁹	ζ¹⁹+ζ⁵⁹	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−ζ⁷−ζ⁴⁷	ζ⁷+ζ⁴⁷
χ₄₀	1	1	1	1	1	-1	-1	$- i$	$i$	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	ζ³⁸+ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ²³+ζ⁴³	−ζ²³−ζ⁴³	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹¹+ζ³¹	−ζ¹¹−ζ³¹	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	ζ¹⁴+ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	ζ¹⁹+ζ⁵⁹	−ζ¹⁹−ζ⁵⁹	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	ζ²+ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	ζ⁷+ζ⁴⁷	−ζ⁷−ζ⁴⁷
χ₄₁	2	-1	2	-1	-1	2	-1	0	0	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	0	0	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	0	0	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	0	0	2ζ²+2ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	0	0
χ₄₂	2	-1	2	-1	-1	-2	1	0	0	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	2ζ³⁸+2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	ζ³⁸+ζ⁵⁸	0	0	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	2ζ²⁶+2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	ζ²⁶+ζ⁴⁶	0	0	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	2ζ¹⁴+2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−2ζ¹⁴−2ζ³⁴	ζ¹⁴+ζ³⁴	0	0	2ζ²+2ζ²²	−ζ²−ζ²²	2ζ²+2ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−2ζ²−2ζ²²	ζ²+ζ²²	0	0
χ₄₃	4	4	-1	-1	-1	0	0	0	0	4ζ³⁸+4ζ⁵⁸	4ζ³⁸+4ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ³⁸−ζ⁵⁸	0	0	0	0	4ζ²⁶+4ζ⁴⁶	4ζ²⁶+4ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	0	0	0	0	4ζ¹⁴+4ζ³⁴	4ζ¹⁴+4ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ¹⁴−ζ³⁴	0	0	0	0	4ζ²+4ζ²²	4ζ²+4ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	−ζ²−ζ²²	0	0	0	0
χ₄₄	4	-2	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4ζ³⁸+4ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	−ζ²−ζ¹⁴+ζ²²+ζ³⁴+ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ³⁴+ζ³⁸	0	0	0	0	4ζ²⁶+4ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁴+ζ²⁶−ζ³⁴+ζ³⁸−ζ⁵⁸	−ζ¹⁴+ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	4ζ¹⁴+4ζ³⁴	−2ζ¹⁴−2ζ³⁴	−ζ¹⁴−ζ³⁴	ζ²+ζ¹⁴−ζ²²+ζ²⁶−ζ⁴⁶	−ζ²+ζ²²−ζ²⁶+ζ³⁴+ζ⁴⁶	0	0	0	0	4ζ²+4ζ²²	−2ζ²−2ζ²²	−ζ²−ζ²²	ζ²²−ζ²⁶−ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ²⁶+ζ³⁸−ζ⁴⁶−ζ⁵⁸	0	0	0	0
χ₄₅	4	-2	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4ζ³⁸+4ζ⁵⁸	−2ζ³⁸−2ζ⁵⁸	−ζ³⁸−ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ³⁴+ζ³⁸	−ζ²−ζ¹⁴+ζ²²+ζ³⁴+ζ⁵⁸	0	0	0	0	4ζ²⁶+4ζ⁴⁶	−2ζ²⁶−2ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹⁴+ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ¹⁴+ζ²⁶−ζ³⁴+ζ³⁸−ζ⁵⁸	0	0	0	0	4ζ¹⁴+4ζ³⁴	−2ζ¹⁴−2ζ³⁴	−ζ¹⁴−ζ³⁴	−ζ²+ζ²²−ζ²⁶+ζ³⁴+ζ⁴⁶	ζ²+ζ¹⁴−ζ²²+ζ²⁶−ζ⁴⁶	0	0	0	0	4ζ²+4ζ²²	−2ζ²−2ζ²²	−ζ²−ζ²²	ζ²+ζ²⁶+ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²²−ζ²⁶−ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0

Character table — Group #64489