Group #11987161 — 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
size	1	1	2	2	2	2	2	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	8	8	16	16	16	16	16	16	20	20	20	20	20	20	20	20	32	32	32	32	32	32	32	32	32	32	32	32	160	160	160
order	1	2	2	5	5	10	10	4	4	4	8	8	8	8	10	10	20	20	20	20	20	20	40	40	40	40	40	40	40	40	4	4	20	20	20	20	8	8	8	8	8	8	8	8	8	8	20	20	40	40	40	40	40	40	40	40	2	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	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
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
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
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	$i$	$- i$	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	$i$	$- i$
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	$- i$	$i$	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	$- i$	$i$
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	$i$	$- i$	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	$- i$	$i$
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	$- i$	$i$	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	$i$	$- i$
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	0	0	0	0	0	0	0	0	0	0	-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	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0
χ₁₂	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0
χ₁₃	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ²²−ζ³⁸	−ζ²²−ζ³⁸	−ζ⁶−ζ¹⁴	−ζ⁶−ζ¹⁴	ζ²²+ζ³⁸	ζ²²+ζ³⁸	ζ⁶+ζ¹⁴	ζ⁶+ζ¹⁴	0	0	0
χ₁₄	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ²²+ζ³⁸	ζ²²+ζ³⁸	ζ⁶+ζ¹⁴	ζ⁶+ζ¹⁴	−ζ²²−ζ³⁸	−ζ²²−ζ³⁸	−ζ⁶−ζ¹⁴	−ζ⁶−ζ¹⁴	0	0	0
χ₁₅	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	-2	-2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	0	0	0
χ₁₆	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	-2	-2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	0	0	0
χ₁₇	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	-2	-2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-2	2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	−ζ²²+ζ³⁸	ζ²²−ζ³⁸	−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴	ζ²²−ζ³⁸	−ζ²²+ζ³⁸	ζ⁶−ζ¹⁴	−ζ⁶+ζ¹⁴	0	0	0
χ₁₈	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	-2	-2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-2	2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ²²−ζ³⁸	−ζ²²+ζ³⁸	ζ⁶−ζ¹⁴	−ζ⁶+ζ¹⁴	−ζ²²+ζ³⁸	ζ²²−ζ³⁸	−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴	0	0	0
χ₁₉	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0
χ₂₀	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0
χ₂₁	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁶−ζ¹⁴	−ζ⁶−ζ¹⁴	−ζ²²−ζ³⁸	−ζ²²−ζ³⁸	ζ⁶+ζ¹⁴	ζ⁶+ζ¹⁴	ζ²²+ζ³⁸	ζ²²+ζ³⁸	0	0	0
χ₂₂	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁶+ζ¹⁴	ζ⁶+ζ¹⁴	ζ²²+ζ³⁸	ζ²²+ζ³⁸	−ζ⁶−ζ¹⁴	−ζ⁶−ζ¹⁴	−ζ²²−ζ³⁸	−ζ²²−ζ³⁸	0	0	0
χ₂₃	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	-2	-2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0
χ₂₄	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	-2	-2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0
χ₂₅	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	-2	-2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-2	2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁶−ζ¹⁴	−ζ⁶+ζ¹⁴	−ζ²²+ζ³⁸	ζ²²−ζ³⁸	−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴	ζ²²−ζ³⁸	−ζ²²+ζ³⁸	0	0	0
χ₂₆	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	-2	-2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-2	2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	−ζ⁶+ζ¹⁴	ζ⁶−ζ¹⁴	ζ²²−ζ³⁸	−ζ²²+ζ³⁸	ζ⁶−ζ¹⁴	−ζ⁶+ζ¹⁴	−ζ²²+ζ³⁸	ζ²²−ζ³⁸	0	0	0
χ₂₇	4	4	4	4	4	4	4	4	-4	-4	0	0	0	0	4	4	-4	-4	-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
χ₂₈	4	4	4	4	4	4	4	-4	0	0	0	0	0	0	4	4	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	4	4	4	4	-4	0	0	0	0	0	0	4	4	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	4	-4	-4	0	0	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	2ζ¹²−2ζ²⁸	−2ζ¹²+2ζ²⁸	−2ζ⁴+2ζ³⁶	2ζ⁴−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	4	-4	-4	0	0	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−2ζ¹²+2ζ²⁸	2ζ¹²−2ζ²⁸	2ζ⁴−2ζ³⁶	−2ζ⁴+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	4	-4	-4	0	0	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−2ζ⁴+2ζ³⁶	2ζ⁴−2ζ³⁶	−2ζ¹²+2ζ²⁸	2ζ¹²−2ζ²⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	4	-4	-4	0	0	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	2ζ⁴−2ζ³⁶	−2ζ⁴+2ζ³⁶	2ζ¹²−2ζ²⁸	−2ζ¹²+2ζ²⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-4	4	4	4	4	0	0	0	2	2	-2	-2	-4	-4	0	0	0	0	0	0	2	2	-2	-2	2	2	-2	-2	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	0	0	0	0	0	0	0	0
χ₃₅	4	4	-4	4	4	4	4	0	0	0	2	2	-2	-2	-4	-4	0	0	0	0	0	0	2	2	-2	-2	2	2	-2	-2	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	0	0	0	0	0	0	0	0
χ₃₆	4	4	-4	4	4	4	4	0	0	0	-2	-2	2	2	-4	-4	0	0	0	0	0	0	-2	-2	2	2	-2	-2	2	2	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
χ₃₇	4	4	-4	4	4	4	4	0	0	0	-2	-2	2	2	-4	-4	0	0	0	0	0	0	-2	-2	2	2	-2	-2	2	2	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
χ₃₈	4	-4	0	4	4	-4	-4	0	2	-2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	2	-2	2	-2	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	2ζ⁶−ζ⁷−ζ¹³+2ζ¹⁴−ζ²¹+2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷+2ζ³⁸−ζ³⁹	−2ζ⁶+ζ⁷+ζ¹³−2ζ¹⁴+ζ²¹−2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷−2ζ³⁸+ζ³⁹	−2ζ⁶−ζ⁷−ζ¹³−2ζ¹⁴−ζ²¹−2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷−2ζ³⁸−ζ³⁹	2ζ⁶+ζ⁷+ζ¹³+2ζ¹⁴+ζ²¹+2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷+2ζ³⁸+ζ³⁹	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	0	4	4	-4	-4	0	2	-2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	2	-2	2	-2	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	−2ζ⁶+ζ⁷+ζ¹³−2ζ¹⁴+ζ²¹−2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷−2ζ³⁸+ζ³⁹	2ζ⁶−ζ⁷−ζ¹³+2ζ¹⁴−ζ²¹+2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷+2ζ³⁸−ζ³⁹	2ζ⁶+ζ⁷+ζ¹³+2ζ¹⁴+ζ²¹+2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷+2ζ³⁸+ζ³⁹	−2ζ⁶−ζ⁷−ζ¹³−2ζ¹⁴−ζ²¹−2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷−2ζ³⁸−ζ³⁹	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	0	4	4	-4	-4	0	2	-2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	2	-2	2	-2	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	−2ζ⁶−ζ⁷−ζ¹³−2ζ¹⁴−ζ²¹−2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷−2ζ³⁸−ζ³⁹	2ζ⁶+ζ⁷+ζ¹³+2ζ¹⁴+ζ²¹+2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷+2ζ³⁸+ζ³⁹	2ζ⁶−ζ⁷−ζ¹³+2ζ¹⁴−ζ²¹+2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷+2ζ³⁸−ζ³⁹	−2ζ⁶+ζ⁷+ζ¹³−2ζ¹⁴+ζ²¹−2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷−2ζ³⁸+ζ³⁹	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	0	4	4	-4	-4	0	2	-2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	2	-2	2	-2	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	2ζ⁶+ζ⁷+ζ¹³+2ζ¹⁴+ζ²¹+2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷+2ζ³⁸+ζ³⁹	−2ζ⁶−ζ⁷−ζ¹³−2ζ¹⁴−ζ²¹−2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷−2ζ³⁸−ζ³⁹	−2ζ⁶+ζ⁷+ζ¹³−2ζ¹⁴+ζ²¹−2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷−2ζ³⁸+ζ³⁹	2ζ⁶−ζ⁷−ζ¹³+2ζ¹⁴−ζ²¹+2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷+2ζ³⁸−ζ³⁹	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	0	4	4	-4	-4	0	-2	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	-2	2	-2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	2ζ⁶+ζ⁷+ζ¹³+2ζ¹⁴+ζ²¹+2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷+2ζ³⁸+ζ³⁹	−2ζ⁶−ζ⁷−ζ¹³−2ζ¹⁴−ζ²¹−2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷−2ζ³⁸−ζ³⁹	−2ζ⁶+ζ⁷+ζ¹³−2ζ¹⁴+ζ²¹−2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷−2ζ³⁸+ζ³⁹	2ζ⁶−ζ⁷−ζ¹³+2ζ¹⁴−ζ²¹+2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷+2ζ³⁸−ζ³⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	0	4	4	-4	-4	0	-2	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	-2	2	-2	2	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	−2ζ⁶−ζ⁷−ζ¹³−2ζ¹⁴−ζ²¹−2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷−2ζ³⁸−ζ³⁹	2ζ⁶+ζ⁷+ζ¹³+2ζ¹⁴+ζ²¹+2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷+2ζ³⁸+ζ³⁹	2ζ⁶−ζ⁷−ζ¹³+2ζ¹⁴−ζ²¹+2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷+2ζ³⁸−ζ³⁹	−2ζ⁶+ζ⁷+ζ¹³−2ζ¹⁴+ζ²¹−2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷−2ζ³⁸+ζ³⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	0	4	4	-4	-4	0	-2	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	-2	2	-2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	−2ζ⁶+ζ⁷+ζ¹³−2ζ¹⁴+ζ²¹−2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷−2ζ³⁸+ζ³⁹	2ζ⁶−ζ⁷−ζ¹³+2ζ¹⁴−ζ²¹+2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷+2ζ³⁸−ζ³⁹	2ζ⁶+ζ⁷+ζ¹³+2ζ¹⁴+ζ²¹+2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷+2ζ³⁸+ζ³⁹	−2ζ⁶−ζ⁷−ζ¹³−2ζ¹⁴−ζ²¹−2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷−2ζ³⁸−ζ³⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	0	4	4	-4	-4	0	-2	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	-2	2	-2	2	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	2ζ⁶−ζ⁷−ζ¹³+2ζ¹⁴−ζ²¹+2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷+2ζ³⁸−ζ³⁹	−2ζ⁶+ζ⁷+ζ¹³−2ζ¹⁴+ζ²¹−2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷−2ζ³⁸+ζ³⁹	−2ζ⁶−ζ⁷−ζ¹³−2ζ¹⁴−ζ²¹−2ζ²²−ζ²³−ζ²⁹−ζ³¹−ζ³⁷−2ζ³⁸−ζ³⁹	2ζ⁶+ζ⁷+ζ¹³+2ζ¹⁴+ζ²¹+2ζ²²+ζ²³+ζ²⁹+ζ³¹+ζ³⁷+2ζ³⁸+ζ³⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	8	8	8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	-8	0	0	0	0	0	0	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	0	0	0	0	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	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
χ₄₇	8	8	8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	-8	0	0	0	0	0	0	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	0	0	0	0	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	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
χ₄₈	8	8	-8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	0	0	0	4	4	-4	-4	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	0	0	0	0	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	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
χ₄₉	8	8	-8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	0	0	0	-4	-4	4	4	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	0	0	0	0	0	0	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	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
χ₅₀	8	8	-8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	0	0	0	4	4	-4	-4	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	0	0	0	0	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	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
χ₅₁	8	8	-8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	0	0	0	-4	-4	4	4	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	0	0	0	0	0	0	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	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
χ₅₂	8	-8	0	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	0	4	-4	0	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	0	0	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	0	0	0	0	0	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	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	0	4	-4	0	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	0	0	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	0	0	0	0	0	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	8	-8	0	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	0	-4	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	0	0	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	0	0	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	0	0	0	0	0	0	0	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	8	-8	0	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	0	-4	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	0	0	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	0	0	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	0	0	0	0	0	0	0	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	8	-8	0	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	0	4	-4	0	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	0	0	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	0	0	0	0	0	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	8	-8	0	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	0	4	-4	0	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	0	0	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	0	0	0	0	0	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	8	-8	0	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	0	-4	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	0	0	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	0	0	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	0	0	0	0	0	0	0	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	8	-8	0	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	0	-4	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	0	0	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	0	0	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	0	0	0	0	0	0	0	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 #11987161