Group #65201 — 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
size	1	1	2	2	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	5	5	8	8	10	10	10	10	10	10	10	16	16	16	16	40	40
order	1	2	4	5	5	8	8	10	10	16	16	16	16	20	20	40	40	40	40	80	80	80	80	80	80	80	80	4	4	2	2	2	8	8	16	16	16	16	10	10	10	10	4	4
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
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
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
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
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
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
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
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
χ₉	2	2	2	2	2	-2	-2	2	2	0	0	0	0	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	0	0	2	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	-2	-2	2	2	0	0	0	0	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	0	0	-2	2	2	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	2	2	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0
χ₁₂	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	-2	-2	0	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0
χ₁₃	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	2	-2	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0
χ₁₄	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	-2	2	0	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0
χ₁₅	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	2	2	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0
χ₁₆	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	-2	-2	0	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0
χ₁₇	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	2	-2	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0
χ₁₈	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	-2	2	0	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0
χ₁₉	2	2	-2	2	2	0	0	2	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	2	0	0	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₂₀	2	2	-2	2	2	0	0	2	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	-2	0	0	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₂₁	2	2	-2	2	2	0	0	2	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	2	0	0	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₂₂	2	2	-2	2	2	0	0	2	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	-2	0	0	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₂₃	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	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	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	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	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	$2 i$	$- 2 i$	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	−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	0	0	0	0
χ₂₄	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	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	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	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	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	$- 2 i$	$2 i$	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	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	0	0	0	0
χ₂₅	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	−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	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	−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	−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	$2 i$	$- 2 i$	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	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	0	0	0	0
χ₂₆	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	−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	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	−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	−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	$- 2 i$	$2 i$	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	−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	0	0	0	0
χ₂₇	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	−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	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	−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	−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	$2 i$	$- 2 i$	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	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	0	0	0	0
χ₂₈	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	−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	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	−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	−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	$- 2 i$	$2 i$	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	−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	0	0	0	0
χ₂₉	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	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	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	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	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	$2 i$	$- 2 i$	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	−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	0	0	0	0
χ₃₀	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	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	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	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	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	$- 2 i$	$2 i$	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	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	0	0	0	0
χ₃₁	4	4	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	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
χ₃₂	4	4	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	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
χ₃₃	4	4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−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
χ₃₄	4	4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	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
χ₃₅	4	4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	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
χ₃₆	4	4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−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
χ₃₇	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	2ζ⁹−2ζ³¹+2ζ⁴¹−2ζ⁴⁷+2ζ⁵⁷−2ζ⁶³+2ζ⁷³−2ζ⁷⁹	−2ζ⁹+2ζ³¹−2ζ⁴¹+2ζ⁴⁷−2ζ⁵⁷+2ζ⁶³−2ζ⁷³+2ζ⁷⁹	−2ζ¹¹+2ζ¹³−2ζ²⁷+2ζ²⁹−2ζ⁴³−2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	2ζ¹¹−2ζ¹³+2ζ²⁷−2ζ²⁹+2ζ⁴³+2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	0	0	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁷⁹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁷⁹	ζ¹¹−ζ²⁹+ζ⁵⁹−ζ⁶¹	−ζ¹¹+ζ²⁹−ζ⁵⁹+ζ⁶¹	ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³	−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³	−ζ¹³+ζ²⁷+ζ⁴³−ζ⁷⁷	ζ¹³−ζ²⁷−ζ⁴³+ζ⁷⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	−2ζ⁹+2ζ³¹−2ζ⁴¹+2ζ⁴⁷−2ζ⁵⁷+2ζ⁶³−2ζ⁷³+2ζ⁷⁹	2ζ⁹−2ζ³¹+2ζ⁴¹−2ζ⁴⁷+2ζ⁵⁷−2ζ⁶³+2ζ⁷³−2ζ⁷⁹	2ζ¹¹−2ζ¹³+2ζ²⁷−2ζ²⁹+2ζ⁴³+2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	−2ζ¹¹+2ζ¹³−2ζ²⁷+2ζ²⁹−2ζ⁴³−2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	0	0	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁹−ζ³¹+ζ⁴¹−ζ⁷⁹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁷⁹	−ζ¹¹+ζ²⁹−ζ⁵⁹+ζ⁶¹	ζ¹¹−ζ²⁹+ζ⁵⁹−ζ⁶¹	−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³	ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³	ζ¹³−ζ²⁷−ζ⁴³+ζ⁷⁷	−ζ¹³+ζ²⁷+ζ⁴³−ζ⁷⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	−2ζ¹¹+2ζ¹³−2ζ²⁷+2ζ²⁹−2ζ⁴³−2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	2ζ¹¹−2ζ¹³+2ζ²⁷−2ζ²⁹+2ζ⁴³+2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	−2ζ⁹+2ζ³¹−2ζ⁴¹+2ζ⁴⁷−2ζ⁵⁷+2ζ⁶³−2ζ⁷³+2ζ⁷⁹	2ζ⁹−2ζ³¹+2ζ⁴¹−2ζ⁴⁷+2ζ⁵⁷−2ζ⁶³+2ζ⁷³−2ζ⁷⁹	0	0	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹¹−ζ²⁹+ζ⁵⁹−ζ⁶¹	−ζ¹¹+ζ²⁹−ζ⁵⁹+ζ⁶¹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁷⁹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁷⁹	−ζ¹³+ζ²⁷+ζ⁴³−ζ⁷⁷	ζ¹³−ζ²⁷−ζ⁴³+ζ⁷⁷	−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³	ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	2ζ¹¹−2ζ¹³+2ζ²⁷−2ζ²⁹+2ζ⁴³+2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	−2ζ¹¹+2ζ¹³−2ζ²⁷+2ζ²⁹−2ζ⁴³−2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	2ζ⁹−2ζ³¹+2ζ⁴¹−2ζ⁴⁷+2ζ⁵⁷−2ζ⁶³+2ζ⁷³−2ζ⁷⁹	−2ζ⁹+2ζ³¹−2ζ⁴¹+2ζ⁴⁷−2ζ⁵⁷+2ζ⁶³−2ζ⁷³+2ζ⁷⁹	0	0	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ¹¹+ζ²⁹−ζ⁵⁹+ζ⁶¹	ζ¹¹−ζ²⁹+ζ⁵⁹−ζ⁶¹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁷⁹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁷⁹	ζ¹³−ζ²⁷−ζ⁴³+ζ⁷⁷	−ζ¹³+ζ²⁷+ζ⁴³−ζ⁷⁷	ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³	−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	2ζ⁹−2ζ³¹+2ζ⁴¹−2ζ⁴⁷+2ζ⁵⁷−2ζ⁶³+2ζ⁷³−2ζ⁷⁹	−2ζ⁹+2ζ³¹−2ζ⁴¹+2ζ⁴⁷−2ζ⁵⁷+2ζ⁶³−2ζ⁷³+2ζ⁷⁹	−2ζ¹¹+2ζ¹³−2ζ²⁷+2ζ²⁹−2ζ⁴³−2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	2ζ¹¹−2ζ¹³+2ζ²⁷−2ζ²⁹+2ζ⁴³+2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	0	0	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³	−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³	−ζ¹³+ζ²⁷+ζ⁴³−ζ⁷⁷	ζ¹³−ζ²⁷−ζ⁴³+ζ⁷⁷	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁷⁹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁷⁹	ζ¹¹−ζ²⁹+ζ⁵⁹−ζ⁶¹	−ζ¹¹+ζ²⁹−ζ⁵⁹+ζ⁶¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	−2ζ⁹+2ζ³¹−2ζ⁴¹+2ζ⁴⁷−2ζ⁵⁷+2ζ⁶³−2ζ⁷³+2ζ⁷⁹	2ζ⁹−2ζ³¹+2ζ⁴¹−2ζ⁴⁷+2ζ⁵⁷−2ζ⁶³+2ζ⁷³−2ζ⁷⁹	2ζ¹¹−2ζ¹³+2ζ²⁷−2ζ²⁹+2ζ⁴³+2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	−2ζ¹¹+2ζ¹³−2ζ²⁷+2ζ²⁹−2ζ⁴³−2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	0	0	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³	ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³	ζ¹³−ζ²⁷−ζ⁴³+ζ⁷⁷	−ζ¹³+ζ²⁷+ζ⁴³−ζ⁷⁷	ζ⁹−ζ³¹+ζ⁴¹−ζ⁷⁹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁷⁹	−ζ¹¹+ζ²⁹−ζ⁵⁹+ζ⁶¹	ζ¹¹−ζ²⁹+ζ⁵⁹−ζ⁶¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	−2ζ¹¹+2ζ¹³−2ζ²⁷+2ζ²⁹−2ζ⁴³−2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	2ζ¹¹−2ζ¹³+2ζ²⁷−2ζ²⁹+2ζ⁴³+2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	−2ζ⁹+2ζ³¹−2ζ⁴¹+2ζ⁴⁷−2ζ⁵⁷+2ζ⁶³−2ζ⁷³+2ζ⁷⁹	2ζ⁹−2ζ³¹+2ζ⁴¹−2ζ⁴⁷+2ζ⁵⁷−2ζ⁶³+2ζ⁷³−2ζ⁷⁹	0	0	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ¹³+ζ²⁷+ζ⁴³−ζ⁷⁷	ζ¹³−ζ²⁷−ζ⁴³+ζ⁷⁷	−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³	ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³	ζ¹¹−ζ²⁹+ζ⁵⁹−ζ⁶¹	−ζ¹¹+ζ²⁹−ζ⁵⁹+ζ⁶¹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁷⁹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁷⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	2ζ¹¹−2ζ¹³+2ζ²⁷−2ζ²⁹+2ζ⁴³+2ζ⁵⁹−2ζ⁶¹−2ζ⁷⁷	−2ζ¹¹+2ζ¹³−2ζ²⁷+2ζ²⁹−2ζ⁴³−2ζ⁵⁹+2ζ⁶¹+2ζ⁷⁷	2ζ⁹−2ζ³¹+2ζ⁴¹−2ζ⁴⁷+2ζ⁵⁷−2ζ⁶³+2ζ⁷³−2ζ⁷⁹	−2ζ⁹+2ζ³¹−2ζ⁴¹+2ζ⁴⁷−2ζ⁵⁷+2ζ⁶³−2ζ⁷³+2ζ⁷⁹	0	0	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹³−ζ²⁷−ζ⁴³+ζ⁷⁷	−ζ¹³+ζ²⁷+ζ⁴³−ζ⁷⁷	ζ⁴⁷−ζ⁵⁷+ζ⁶³−ζ⁷³	−ζ⁴⁷+ζ⁵⁷−ζ⁶³+ζ⁷³	−ζ¹¹+ζ²⁹−ζ⁵⁹+ζ⁶¹	ζ¹¹−ζ²⁹+ζ⁵⁹−ζ⁶¹	−ζ⁹+ζ³¹−ζ⁴¹+ζ⁷⁹	ζ⁹−ζ³¹+ζ⁴¹−ζ⁷⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #65201