Group #64713 — 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
size	1	1	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	10	10	10	10	10	10	10	10	40	40
order	1	2	4	4	2	4	5	5	8	8	8	8	10	10	20	20	20	20	10	10	20	20	40	40	40	40	40	40	40	40	8	8	40	40	40	40	40	40	40	40	16	16	16	16	16	16	16	16	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
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
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
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
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	$i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	1	1	1	-1	-1	-1	-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	$i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	-1	-1	-1	1	1	1	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	$- i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	1	1	1	-1	-1	-1	-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	$- i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	-1	-1	-1	1	1	1	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₂	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	ζ²⁴−ζ⁵⁶	−ζ²⁴+ζ⁵⁶	−ζ⁸+ζ⁷²	ζ⁸−ζ⁷²	ζ²⁴−ζ⁵⁶	−ζ²⁴+ζ⁵⁶	−ζ⁸+ζ⁷²	ζ⁸−ζ⁷²	0	0	0	0	0	0	0	0	0	0
χ₁₃	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	−ζ²⁴+ζ⁵⁶	ζ²⁴−ζ⁵⁶	ζ⁸−ζ⁷²	−ζ⁸+ζ⁷²	−ζ²⁴+ζ⁵⁶	ζ²⁴−ζ⁵⁶	ζ⁸−ζ⁷²	−ζ⁸+ζ⁷²	0	0	0	0	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₅	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₁₆	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	−ζ⁸+ζ⁷²	ζ⁸−ζ⁷²	−ζ²⁴+ζ⁵⁶	ζ²⁴−ζ⁵⁶	−ζ⁸+ζ⁷²	ζ⁸−ζ⁷²	−ζ²⁴+ζ⁵⁶	ζ²⁴−ζ⁵⁶	0	0	0	0	0	0	0	0	0	0
χ₁₇	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	ζ⁸−ζ⁷²	−ζ⁸+ζ⁷²	ζ²⁴−ζ⁵⁶	−ζ²⁴+ζ⁵⁶	ζ⁸−ζ⁷²	−ζ⁸+ζ⁷²	ζ²⁴−ζ⁵⁶	−ζ²⁴+ζ⁵⁶	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	-2	-2	2	2	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	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₁₉	2	2	2	2	-2	-2	2	2	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	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₂₀	2	2	-2	-2	2	-2	2	2	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	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₂₁	2	2	-2	-2	2	-2	2	2	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	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₂	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	0	0	0	0	0	0	0	0	0	0
χ₂₃	2	2	-2	-2	-2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	−ζ⁴⁴+ζ⁷⁶	ζ⁴⁴−ζ⁷⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴+ζ⁷⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0	0	0	0	0	0	0	0
χ₂₄	2	2	-2	-2	-2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴+ζ⁷⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴⁴+ζ⁷⁶	ζ⁴⁴−ζ⁷⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0	0	0	0	0	0	0	0
χ₂₅	2	2	-2	-2	-2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$2 i$	$- 2 i$	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ¹²−ζ²⁸	−ζ¹²−ζ²⁸	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ¹²+ζ²⁸	ζ¹²+ζ²⁸	0	0	0	0	0	0	0	0	0	0
χ₂₆	2	2	-2	-2	-2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$- 2 i$	$2 i$	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ¹²+ζ²⁸	ζ¹²+ζ²⁸	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ¹²−ζ²⁸	−ζ¹²−ζ²⁸	0	0	0	0	0	0	0	0	0	0
χ₂₇	2	2	-2	-2	-2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴⁴+ζ⁷⁶	ζ⁴⁴−ζ⁷⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴+ζ⁷⁶	0	0	0	0	0	0	0	0	0	0
χ₂₈	2	2	-2	-2	-2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴+ζ⁷⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴⁴+ζ⁷⁶	ζ⁴⁴−ζ⁷⁶	0	0	0	0	0	0	0	0	0	0
χ₂₉	2	2	-2	-2	-2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$2 i$	$- 2 i$	−ζ¹²−ζ²⁸	−ζ¹²−ζ²⁸	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ¹²+ζ²⁸	ζ¹²+ζ²⁸	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	0	0	0	0	0	0	0	0	0	0
χ₃₀	2	2	-2	-2	-2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$- 2 i$	$2 i$	ζ¹²+ζ²⁸	ζ¹²+ζ²⁸	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	−ζ¹²−ζ²⁸	−ζ¹²−ζ²⁸	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	0	0	0	0	0	0	0	0	0	0
χ₃₁	2	-2	$2 i$	$- 2 i$	0	0	2	2	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹+ζ¹³−ζ²⁷+ζ²⁹−ζ⁴³−ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ¹¹−ζ¹³+ζ²⁷−ζ²⁹+ζ⁴³+ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ⁹−ζ³¹+ζ⁴¹−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³−ζ⁷⁹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³+ζ⁷⁹	0	0
χ₃₂	2	-2	$2 i$	$- 2 i$	0	0	2	2	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹−ζ¹³+ζ²⁷−ζ²⁹+ζ⁴³+ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ¹¹+ζ¹³−ζ²⁷+ζ²⁹−ζ⁴³−ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³+ζ⁷⁹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³−ζ⁷⁹	0	0
χ₃₃	2	-2	$2 i$	$- 2 i$	0	0	2	2	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³+ζ⁷⁹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³−ζ⁷⁹	−ζ¹¹+ζ¹³−ζ²⁷+ζ²⁹−ζ⁴³−ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ¹¹−ζ¹³+ζ²⁷−ζ²⁹+ζ⁴³+ζ⁵⁹−ζ⁶¹−ζ⁷⁷	0	0
χ₃₄	2	-2	$2 i$	$- 2 i$	0	0	2	2	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³−ζ⁷⁹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³+ζ⁷⁹	ζ¹¹−ζ¹³+ζ²⁷−ζ²⁹+ζ⁴³+ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ¹¹+ζ¹³−ζ²⁷+ζ²⁹−ζ⁴³−ζ⁵⁹+ζ⁶¹+ζ⁷⁷	0	0
χ₃₅	2	-2	$- 2 i$	$2 i$	0	0	2	2	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³−ζ⁷⁹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³+ζ⁷⁹	ζ¹¹−ζ¹³+ζ²⁷−ζ²⁹+ζ⁴³+ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ¹¹+ζ¹³−ζ²⁷+ζ²⁹−ζ⁴³−ζ⁵⁹+ζ⁶¹+ζ⁷⁷	0	0
χ₃₆	2	-2	$- 2 i$	$2 i$	0	0	2	2	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³+ζ⁷⁹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³−ζ⁷⁹	−ζ¹¹+ζ¹³−ζ²⁷+ζ²⁹−ζ⁴³−ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ¹¹−ζ¹³+ζ²⁷−ζ²⁹+ζ⁴³+ζ⁵⁹−ζ⁶¹−ζ⁷⁷	0	0
χ₃₇	2	-2	$- 2 i$	$2 i$	0	0	2	2	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ¹¹−ζ¹³+ζ²⁷−ζ²⁹+ζ⁴³+ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ¹¹+ζ¹³−ζ²⁷+ζ²⁹−ζ⁴³−ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³+ζ⁷⁹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³−ζ⁷⁹	0	0
χ₃₈	2	-2	$- 2 i$	$2 i$	0	0	2	2	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	ζ⁹+ζ³¹+ζ⁴¹+ζ⁴⁷+ζ⁵⁷+ζ⁶³+ζ⁷³+ζ⁷⁹	−ζ⁹−ζ³¹−ζ⁴¹−ζ⁴⁷−ζ⁵⁷−ζ⁶³−ζ⁷³−ζ⁷⁹	ζ¹¹+ζ¹³+ζ²⁷+ζ²⁹+ζ⁴³+ζ⁵⁹+ζ⁶¹+ζ⁷⁷	−ζ¹¹−ζ¹³−ζ²⁷−ζ²⁹−ζ⁴³−ζ⁵⁹−ζ⁶¹−ζ⁷⁷	−ζ¹¹+ζ¹³−ζ²⁷+ζ²⁹−ζ⁴³−ζ⁵⁹+ζ⁶¹+ζ⁷⁷	ζ¹¹−ζ¹³+ζ²⁷−ζ²⁹+ζ⁴³+ζ⁵⁹−ζ⁶¹−ζ⁷⁷	ζ⁹−ζ³¹+ζ⁴¹−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³−ζ⁷⁹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³+ζ⁷⁹	0	0
χ₃₉	4	4	4	4	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	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
χ₄₀	4	4	4	4	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	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
χ₄₁	4	4	-4	-4	4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	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
χ₄₂	4	4	-4	-4	4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	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
χ₄₃	4	-4	$4 i$	$- 4 i$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	−2ζ⁴⁴−2ζ⁷⁶	2ζ⁴⁴+2ζ⁷⁶	−2ζ¹²−2ζ²⁸	2ζ¹²+2ζ²⁸	0	0	0	0	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ¹⁴+ζ²⁶+ζ⁴⁶+ζ⁷⁴	−ζ¹⁴−ζ²⁶−ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸−ζ⁶²−ζ⁷⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	$4 i$	$- 4 i$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	−2ζ⁴⁴−2ζ⁷⁶	2ζ⁴⁴+2ζ⁷⁶	−2ζ¹²−2ζ²⁸	2ζ¹²+2ζ²⁸	0	0	0	0	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ¹⁴−ζ²⁶−ζ⁴⁶−ζ⁷⁴	ζ¹⁴+ζ²⁶+ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸+ζ⁶²+ζ⁷⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	$4 i$	$- 4 i$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	−2ζ¹²−2ζ²⁸	2ζ¹²+2ζ²⁸	−2ζ⁴⁴−2ζ⁷⁶	2ζ⁴⁴+2ζ⁷⁶	0	0	0	0	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴+ζ²⁶+ζ⁴⁶+ζ⁷⁴	−ζ¹⁴−ζ²⁶−ζ⁴⁶−ζ⁷⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	4	-4	$4 i$	$- 4 i$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	−2ζ¹²−2ζ²⁸	2ζ¹²+2ζ²⁸	−2ζ⁴⁴−2ζ⁷⁶	2ζ⁴⁴+2ζ⁷⁶	0	0	0	0	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴−ζ²⁶−ζ⁴⁶−ζ⁷⁴	ζ¹⁴+ζ²⁶+ζ⁴⁶+ζ⁷⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	4	-4	$- 4 i$	$4 i$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	2ζ⁴⁴+2ζ⁷⁶	−2ζ⁴⁴−2ζ⁷⁶	2ζ¹²+2ζ²⁸	−2ζ¹²−2ζ²⁸	0	0	0	0	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴+ζ²⁶+ζ⁴⁶+ζ⁷⁴	−ζ¹⁴−ζ²⁶−ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸−ζ⁶²−ζ⁷⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	-4	$- 4 i$	$4 i$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	2ζ⁴⁴+2ζ⁷⁶	−2ζ⁴⁴−2ζ⁷⁶	2ζ¹²+2ζ²⁸	−2ζ¹²−2ζ²⁸	0	0	0	0	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴−ζ²⁶−ζ⁴⁶−ζ⁷⁴	ζ¹⁴+ζ²⁶+ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸+ζ⁶²+ζ⁷⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	-4	$- 4 i$	$4 i$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	2ζ¹²+2ζ²⁸	−2ζ¹²−2ζ²⁸	2ζ⁴⁴+2ζ⁷⁶	−2ζ⁴⁴−2ζ⁷⁶	0	0	0	0	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ⁴²+ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴+ζ²⁶+ζ⁴⁶+ζ⁷⁴	−ζ¹⁴−ζ²⁶−ζ⁴⁶−ζ⁷⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	-4	$- 4 i$	$4 i$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	2ζ¹²+2ζ²⁸	−2ζ¹²−2ζ²⁸	2ζ⁴⁴+2ζ⁷⁶	−2ζ⁴⁴−2ζ⁷⁶	0	0	0	0	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ⁴²−ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴−ζ²⁶−ζ⁴⁶−ζ⁷⁴	ζ¹⁴+ζ²⁶+ζ⁴⁶+ζ⁷⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #64713