Group #14513951 — 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
size	1	1	1	1	2	2	2	2	2	2	2	2	6	6	12	12	12	12	12	12	24	24	24	24	24	24	24	24	24	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	32	120	120	120	120	120	120	120	120
order	1	2	2	2	5	5	10	10	10	10	10	10	2	2	4	4	10	10	10	10	4	20	20	20	20	20	20	20	20	3	6	6	6	15	15	15	15	30	30	30	30	30	30	30	30	30	30	30	30	4	4	4	4	8	8	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
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
χ₃	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	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₄	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₅	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	-1	-1	-1	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	0	0	0	0	0	0	0	0
χ₆	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	-1	-1	-1	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	0	0	0	0	0	0	0	0
χ₇	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₈	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	-1	-1	-1	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	0	0	0	0	0	0	0	0
χ₉	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	-1	-1	-1	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	0	0	0	0	0	0	0	0
χ₁₀	2	2	-2	-2	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	-1	1	1	-1	-1	-1	-1	-1	1	1	-1	1	1	-1	1	1	-1	1	1	-1	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$
χ₁₁	2	2	-2	-2	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	-1	1	1	-1	-1	-1	-1	-1	1	1	-1	1	1	-1	1	1	-1	1	1	-1	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$
χ₁₂	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₁₃	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₁₄	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	1	-1	1	-1
χ₁₅	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	-1	1	-1	1
χ₁₆	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	-1	1	-1	1
χ₁₇	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	1	-1	1	-1
χ₁₈	4	4	-4	-4	4	4	4	4	-4	-4	-4	-4	4	-4	0	0	4	-4	4	-4	0	0	0	0	0	0	0	0	0	1	-1	-1	1	1	1	1	1	-1	-1	1	-1	-1	1	-1	-1	1	-1	-1	1	0	0	0	0	0	0	0	0
χ₁₉	4	4	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	4	-4	0	0	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	1	-1	-1	1	ζ²⁸+ζ⁹²	ζ⁵²+ζ⁶⁸	ζ⁴+ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	0	0	0	0	0	0	0	0
χ₂₀	4	4	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	4	-4	0	0	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	1	-1	-1	1	ζ⁵²+ζ⁶⁸	ζ²⁸+ζ⁹²	ζ⁴⁴+ζ⁷⁶	ζ⁴+ζ¹¹⁶	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	0	0	0	0	0	0	0	0
χ₂₁	4	4	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	4	-4	0	0	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	-2	2	2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₂₂	4	4	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	4	-4	0	0	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	1	-1	-1	1	ζ⁴⁴+ζ⁷⁶	ζ⁴+ζ¹¹⁶	ζ²⁸+ζ⁹²	ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	0	0	0	0	0	0	0	0
χ₂₃	4	4	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	4	-4	0	0	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	1	-1	-1	1	ζ⁴+ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	ζ⁵²+ζ⁶⁸	ζ²⁸+ζ⁹²	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	0	0	0	0	0	0	0	0
χ₂₄	4	4	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	4	-4	0	0	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	-2	2	2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₂₅	4	-4	4	-4	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	1	1	-1	-1	1	1	1	1	1	-1	-1	1	-1	-1	1	-1	-1	1	-1	-1	0	0	$2 i$	$- 2 i$	0	0	0	0
χ₂₆	4	-4	4	-4	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	1	1	-1	-1	1	1	1	1	1	-1	-1	1	-1	-1	1	-1	-1	1	-1	-1	0	0	$- 2 i$	$2 i$	0	0	0	0
χ₂₇	4	-4	-4	4	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	1	-1	1	-1	1	1	1	1	-1	1	-1	-1	1	-1	-1	1	-1	-1	1	-1	2	-2	0	0	0	0	0	0
χ₂₈	4	-4	-4	4	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	1	-1	1	-1	1	1	1	1	-1	1	-1	-1	1	-1	-1	1	-1	-1	1	-1	-2	2	0	0	0	0	0	0
χ₂₉	6	6	6	6	6	6	6	6	6	6	6	6	-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	0	0	0	0	0	0	0	0
χ₃₀	6	6	6	6	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	6	6	-2	-2	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	-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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	6	6	6	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	-2	-2	6	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-2	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	6	6	6	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	-2	-2	-2	6	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	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
χ₃₃	6	6	6	6	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ²⁸+3ζ⁵²−ζ⁶⁸+3ζ⁹²	3ζ²⁸−ζ⁵²+3ζ⁶⁸−ζ⁹²	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	3ζ⁴+3ζ⁴⁴−ζ⁷⁶−ζ¹¹⁶	−ζ⁴−ζ⁴⁴+3ζ⁷⁶+3ζ¹¹⁶	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
χ₃₄	6	6	6	6	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	3ζ²⁸−ζ⁵²+3ζ⁶⁸−ζ⁹²	−ζ²⁸+3ζ⁵²−ζ⁶⁸+3ζ⁹²	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴−ζ⁴⁴+3ζ⁷⁶+3ζ¹¹⁶	3ζ⁴+3ζ⁴⁴−ζ⁷⁶−ζ¹¹⁶	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
χ₃₅	6	6	6	6	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	6	6	-2	-2	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	-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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	6	6	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	-2	-2	6	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-2	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	6	6	6	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	-2	-2	-2	6	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	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
χ₃₈	6	6	6	6	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	3ζ⁴+3ζ⁴⁴−ζ⁷⁶−ζ¹¹⁶	−ζ⁴−ζ⁴⁴+3ζ⁷⁶+3ζ¹¹⁶	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	3ζ²⁸−ζ⁵²+3ζ⁶⁸−ζ⁹²	−ζ²⁸+3ζ⁵²−ζ⁶⁸+3ζ⁹²	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
χ₃₉	6	6	6	6	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	-2	-2	-2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴−ζ⁴⁴+3ζ⁷⁶+3ζ¹¹⁶	3ζ⁴+3ζ⁴⁴−ζ⁷⁶−ζ¹¹⁶	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ²⁸+3ζ⁵²−ζ⁶⁸+3ζ⁹²	3ζ²⁸−ζ⁵²+3ζ⁶⁸−ζ⁹²	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	6	6	-6	-6	6	6	6	6	-6	-6	-6	-6	-2	2	0	0	-2	2	-2	2	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	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$
χ₄₁	6	6	-6	-6	6	6	6	6	-6	-6	-6	-6	-2	2	0	0	-2	2	-2	2	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	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$
χ₄₂	8	-8	8	-8	8	8	-8	-8	8	-8	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	-1	-1	-1	-1	-1	1	1	-1	1	1	-1	1	1	-1	1	1	0	0	0	0	0	0	0	0
χ₄₃	8	-8	8	-8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₄₄	8	-8	8	-8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	ζ⁵²+ζ⁶⁸	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	ζ²⁸+ζ⁹²	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	ζ⁴+ζ¹¹⁶	0	0	0	0	0	0	0	0
χ₄₅	8	-8	8	-8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	ζ²⁸+ζ⁹²	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	ζ⁵²+ζ⁶⁸	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	ζ⁴+ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	0	0	0	0	0	0	0	0
χ₄₆	8	-8	8	-8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₄₇	8	-8	8	-8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	ζ⁴+ζ¹¹⁶	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	ζ²⁸+ζ⁹²	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	ζ⁵²+ζ⁶⁸	0	0	0	0	0	0	0	0
χ₄₈	8	-8	8	-8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	ζ⁴+ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	ζ⁵²+ζ⁶⁸	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	ζ²⁸+ζ⁹²	0	0	0	0	0	0	0	0
χ₄₉	8	-8	-8	8	8	8	-8	-8	-8	8	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	-1	-1	-1	-1	1	-1	1	1	-1	1	1	-1	1	1	-1	1	0	0	0	0	0	0	0	0
χ₅₀	8	-8	-8	8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₅₁	8	-8	-8	8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	ζ⁵²+ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	ζ²⁸+ζ⁹²	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	ζ⁴⁴+ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ⁴+ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	0	0	0	0	0	0	0	0
χ₅₂	8	-8	-8	8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	ζ²⁸+ζ⁹²	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	ζ⁵²+ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	ζ⁴+ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	0	0	0	0	0	0	0	0
χ₅₃	8	-8	-8	8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0
χ₅₄	8	-8	-8	8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ⁴+ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	ζ²⁸+ζ⁹²	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	ζ⁵²+ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	0	0	0	0	0	0	0	0
χ₅₅	8	-8	-8	8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	ζ⁴+ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ⁵²+ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	ζ²⁸+ζ⁹²	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	0	0	0	0	0	0	0	0
χ₅₆	12	12	-12	-12	$- 3 - 3 \sqrt{5}$	$- 3 + 3 \sqrt{5}$	$- 3 - 3 \sqrt{5}$	$- 3 + 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	-4	4	0	0	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	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	0	0	0	0	0	0	0	0
χ₅₇	12	12	-12	-12	$- 3 + 3 \sqrt{5}$	$- 3 - 3 \sqrt{5}$	$- 3 + 3 \sqrt{5}$	$- 3 - 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	-4	4	0	0	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	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	0	0	0	0	0	0	0	0

Character table — Group #14513951