Group #14513956 — 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
size	1	1	2	2	2	2	2	2	2	2	2	12	12	12	12	12	12	12	12	12	12	12	12	12	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	240	240	240
order	1	2	2	5	5	10	10	10	10	10	10	4	4	4	4	4	20	20	20	20	20	20	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	2	4	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
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
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	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
χ₄	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	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	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
χ₅	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	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	-1	-1	-1	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ²+ζ¹³	ζ²+ζ¹³	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ+ζ¹⁴	0	0	0	0	0
χ₆	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	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	-1	-1	-1	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ²+ζ¹³	ζ²+ζ¹³	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	0	0	0	0	0
χ₇	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	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	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
χ₈	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	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	-1	-1	-1	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ²+ζ¹³	ζ²+ζ¹³	0	0	0	0	0
χ₉	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	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	-1	-1	-1	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ⁴+ζ¹¹	ζ²+ζ¹³	ζ²+ζ¹³	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁷+ζ⁸	ζ⁷+ζ⁸	0	0	0	0	0
χ₁₀	3	3	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-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
χ₁₁	3	3	3	3	3	3	3	3	3	3	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-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
χ₁₂	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	-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
χ₁₃	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	-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
χ₁₄	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	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
χ₁₅	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	3	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
χ₁₆	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	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
χ₁₇	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	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
χ₁₈	4	-4	0	4	4	0	0	0	0	-4	-4	2	-2	0	0	0	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0
χ₁₉	4	-4	0	4	4	0	0	0	0	-4	-4	2	-2	0	0	0	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0
χ₂₀	4	-4	0	4	4	0	0	0	0	-4	-4	2	-2	0	0	0	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	-2	2	0	0	-2	-2	-2	-2	2	0	0	2	0	0	2	0	0	2	0	0	0	0	0	0	0
χ₂₁	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	$1 - \sqrt{5}$	$1 + \sqrt{5}$	2	-2	0	0	0	−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷	2ζ⁸+2ζ¹³	2ζ²+2ζ⁷	−2ζ−2ζ¹¹	−2ζ⁴−2ζ¹⁴	2ζ+2ζ¹¹	2ζ⁴+2ζ¹⁴	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	−ζ⁷−ζ⁸	−ζ²−ζ¹³	−ζ−ζ¹⁴	−ζ⁴−ζ¹¹	ζ⁷+ζ⁸	−ζ⁷+ζ⁸	ζ⁷−ζ⁸	ζ²+ζ¹³	ζ²−ζ¹³	−ζ²+ζ¹³	ζ+ζ¹⁴	−ζ+ζ¹⁴	ζ−ζ¹⁴	ζ⁴+ζ¹¹	−ζ⁴+ζ¹¹	ζ⁴−ζ¹¹	0	0	0	0	0
χ₂₂	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	$1 - \sqrt{5}$	$1 + \sqrt{5}$	2	-2	0	0	0	−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷	2ζ⁸+2ζ¹³	2ζ²+2ζ⁷	−2ζ−2ζ¹¹	−2ζ⁴−2ζ¹⁴	2ζ+2ζ¹¹	2ζ⁴+2ζ¹⁴	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	−ζ²−ζ¹³	−ζ⁷−ζ⁸	−ζ⁴−ζ¹¹	−ζ−ζ¹⁴	ζ²+ζ¹³	−ζ²+ζ¹³	ζ²−ζ¹³	ζ⁷+ζ⁸	ζ⁷−ζ⁸	−ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ⁴−ζ¹¹	−ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ−ζ¹⁴	−ζ+ζ¹⁴	0	0	0	0	0
χ₂₃	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	$1 - \sqrt{5}$	$1 + \sqrt{5}$	2	-2	0	0	0	−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷	2ζ⁸+2ζ¹³	2ζ²+2ζ⁷	−2ζ−2ζ¹¹	−2ζ⁴−2ζ¹⁴	2ζ+2ζ¹¹	2ζ⁴+2ζ¹⁴	0	0	0	0	0	0	-2	2	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ⁷−ζ⁸−ζ¹³	−ζ²−ζ⁷+ζ⁸+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	−ζ²−ζ⁷+ζ⁸+ζ¹³	ζ²+ζ⁷−ζ⁸−ζ¹³	$\frac{- 1 - \sqrt{5}}{2}$	ζ−ζ⁴+ζ¹¹−ζ¹⁴	−ζ+ζ⁴−ζ¹¹+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	−ζ+ζ⁴−ζ¹¹+ζ¹⁴	ζ−ζ⁴+ζ¹¹−ζ¹⁴	0	0	0	0	0
χ₂₄	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	$1 - \sqrt{5}$	$1 + \sqrt{5}$	2	-2	0	0	0	−2ζ²−2ζ⁷	−2ζ⁸−2ζ¹³	2ζ²+2ζ⁷	2ζ⁸+2ζ¹³	−2ζ⁴−2ζ¹⁴	−2ζ−2ζ¹¹	2ζ⁴+2ζ¹⁴	2ζ+2ζ¹¹	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	−ζ²−ζ¹³	−ζ⁷−ζ⁸	−ζ⁴−ζ¹¹	−ζ−ζ¹⁴	ζ²+ζ¹³	ζ²−ζ¹³	−ζ²+ζ¹³	ζ⁷+ζ⁸	−ζ⁷+ζ⁸	ζ⁷−ζ⁸	ζ⁴+ζ¹¹	−ζ⁴+ζ¹¹	ζ⁴−ζ¹¹	ζ+ζ¹⁴	−ζ+ζ¹⁴	ζ−ζ¹⁴	0	0	0	0	0
χ₂₅	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	$1 - \sqrt{5}$	$1 + \sqrt{5}$	2	-2	0	0	0	−2ζ²−2ζ⁷	−2ζ⁸−2ζ¹³	2ζ²+2ζ⁷	2ζ⁸+2ζ¹³	−2ζ⁴−2ζ¹⁴	−2ζ−2ζ¹¹	2ζ⁴+2ζ¹⁴	2ζ+2ζ¹¹	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	−ζ⁷−ζ⁸	−ζ²−ζ¹³	−ζ−ζ¹⁴	−ζ⁴−ζ¹¹	ζ⁷+ζ⁸	ζ⁷−ζ⁸	−ζ⁷+ζ⁸	ζ²+ζ¹³	−ζ²+ζ¹³	ζ²−ζ¹³	ζ+ζ¹⁴	ζ−ζ¹⁴	−ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ⁴−ζ¹¹	−ζ⁴+ζ¹¹	0	0	0	0	0
χ₂₆	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	$1 - \sqrt{5}$	$1 + \sqrt{5}$	2	-2	0	0	0	−2ζ²−2ζ⁷	−2ζ⁸−2ζ¹³	2ζ²+2ζ⁷	2ζ⁸+2ζ¹³	−2ζ⁴−2ζ¹⁴	−2ζ−2ζ¹¹	2ζ⁴+2ζ¹⁴	2ζ+2ζ¹¹	0	0	0	0	0	0	-2	2	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	−ζ²−ζ⁷+ζ⁸+ζ¹³	ζ²+ζ⁷−ζ⁸−ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ⁷−ζ⁸−ζ¹³	−ζ²−ζ⁷+ζ⁸+ζ¹³	$\frac{- 1 - \sqrt{5}}{2}$	−ζ+ζ⁴−ζ¹¹+ζ¹⁴	ζ−ζ⁴+ζ¹¹−ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ−ζ⁴+ζ¹¹−ζ¹⁴	−ζ+ζ⁴−ζ¹¹+ζ¹⁴	0	0	0	0	0
χ₂₇	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	$1 + \sqrt{5}$	$1 - \sqrt{5}$	2	-2	0	0	0	−2ζ−2ζ¹¹	−2ζ⁴−2ζ¹⁴	2ζ+2ζ¹¹	2ζ⁴+2ζ¹⁴	−2ζ²−2ζ⁷	−2ζ⁸−2ζ¹³	2ζ²+2ζ⁷	2ζ⁸+2ζ¹³	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	−ζ⁴−ζ¹¹	−ζ−ζ¹⁴	−ζ⁷−ζ⁸	−ζ²−ζ¹³	ζ⁴+ζ¹¹	−ζ⁴+ζ¹¹	ζ⁴−ζ¹¹	ζ+ζ¹⁴	−ζ+ζ¹⁴	ζ−ζ¹⁴	ζ⁷+ζ⁸	−ζ⁷+ζ⁸	ζ⁷−ζ⁸	ζ²+ζ¹³	ζ²−ζ¹³	−ζ²+ζ¹³	0	0	0	0	0
χ₂₈	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	$1 + \sqrt{5}$	$1 - \sqrt{5}$	2	-2	0	0	0	−2ζ−2ζ¹¹	−2ζ⁴−2ζ¹⁴	2ζ+2ζ¹¹	2ζ⁴+2ζ¹⁴	−2ζ²−2ζ⁷	−2ζ⁸−2ζ¹³	2ζ²+2ζ⁷	2ζ⁸+2ζ¹³	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	−ζ−ζ¹⁴	−ζ⁴−ζ¹¹	−ζ²−ζ¹³	−ζ⁷−ζ⁸	ζ+ζ¹⁴	ζ−ζ¹⁴	−ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ⁴−ζ¹¹	−ζ⁴+ζ¹¹	ζ²+ζ¹³	−ζ²+ζ¹³	ζ²−ζ¹³	ζ⁷+ζ⁸	ζ⁷−ζ⁸	−ζ⁷+ζ⁸	0	0	0	0	0
χ₂₉	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	$1 + \sqrt{5}$	$1 - \sqrt{5}$	2	-2	0	0	0	−2ζ−2ζ¹¹	−2ζ⁴−2ζ¹⁴	2ζ+2ζ¹¹	2ζ⁴+2ζ¹⁴	−2ζ²−2ζ⁷	−2ζ⁸−2ζ¹³	2ζ²+2ζ⁷	2ζ⁸+2ζ¹³	0	0	0	0	0	0	-2	2	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	−ζ+ζ⁴−ζ¹¹+ζ¹⁴	ζ−ζ⁴+ζ¹¹−ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	ζ−ζ⁴+ζ¹¹−ζ¹⁴	−ζ+ζ⁴−ζ¹¹+ζ¹⁴	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ⁷−ζ⁸−ζ¹³	−ζ²−ζ⁷+ζ⁸+ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	−ζ²−ζ⁷+ζ⁸+ζ¹³	ζ²+ζ⁷−ζ⁸−ζ¹³	0	0	0	0	0
χ₃₀	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	$1 + \sqrt{5}$	$1 - \sqrt{5}$	2	-2	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ−2ζ¹¹	2ζ⁴+2ζ¹⁴	2ζ+2ζ¹¹	−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷	2ζ⁸+2ζ¹³	2ζ²+2ζ⁷	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	−ζ−ζ¹⁴	−ζ⁴−ζ¹¹	−ζ²−ζ¹³	−ζ⁷−ζ⁸	ζ+ζ¹⁴	−ζ+ζ¹⁴	ζ−ζ¹⁴	ζ⁴+ζ¹¹	−ζ⁴+ζ¹¹	ζ⁴−ζ¹¹	ζ²+ζ¹³	ζ²−ζ¹³	−ζ²+ζ¹³	ζ⁷+ζ⁸	−ζ⁷+ζ⁸	ζ⁷−ζ⁸	0	0	0	0	0
χ₃₁	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	$1 + \sqrt{5}$	$1 - \sqrt{5}$	2	-2	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ−2ζ¹¹	2ζ⁴+2ζ¹⁴	2ζ+2ζ¹¹	−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷	2ζ⁸+2ζ¹³	2ζ²+2ζ⁷	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	−ζ⁴−ζ¹¹	−ζ−ζ¹⁴	−ζ⁷−ζ⁸	−ζ²−ζ¹³	ζ⁴+ζ¹¹	ζ⁴−ζ¹¹	−ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ−ζ¹⁴	−ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ⁷−ζ⁸	−ζ⁷+ζ⁸	ζ²+ζ¹³	−ζ²+ζ¹³	ζ²−ζ¹³	0	0	0	0	0
χ₃₂	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	2ζ−2ζ⁴+2ζ¹¹−2ζ¹⁴	−2ζ+2ζ⁴−2ζ¹¹+2ζ¹⁴	2ζ²+2ζ⁷−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷+2ζ⁸+2ζ¹³	$1 + \sqrt{5}$	$1 - \sqrt{5}$	2	-2	0	0	0	−2ζ⁴−2ζ¹⁴	−2ζ−2ζ¹¹	2ζ⁴+2ζ¹⁴	2ζ+2ζ¹¹	−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷	2ζ⁸+2ζ¹³	2ζ²+2ζ⁷	0	0	0	0	0	0	-2	2	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ−ζ⁴+ζ¹¹−ζ¹⁴	−ζ+ζ⁴−ζ¹¹+ζ¹⁴	$\frac{- 1 - \sqrt{5}}{2}$	−ζ+ζ⁴−ζ¹¹+ζ¹⁴	ζ−ζ⁴+ζ¹¹−ζ¹⁴	$\frac{- 1 + \sqrt{5}}{2}$	−ζ²−ζ⁷+ζ⁸+ζ¹³	ζ²+ζ⁷−ζ⁸−ζ¹³	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ⁷−ζ⁸−ζ¹³	−ζ²−ζ⁷+ζ⁸+ζ¹³	0	0	0	0	0
χ₃₃	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	-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
χ₃₄	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	-2	ζ²+ζ⁷−3ζ⁸−3ζ¹³	−3ζ²−3ζ⁷+ζ⁸+ζ¹³	ζ²+ζ⁷−3ζ⁸−3ζ¹³	−3ζ²−3ζ⁷+ζ⁸+ζ¹³	−3ζ+ζ⁴−3ζ¹¹+ζ¹⁴	ζ−3ζ⁴+ζ¹¹−3ζ¹⁴	−3ζ+ζ⁴−3ζ¹¹+ζ¹⁴	ζ−3ζ⁴+ζ¹¹−3ζ¹⁴	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	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
χ₃₅	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	-2	−3ζ²−3ζ⁷+ζ⁸+ζ¹³	ζ²+ζ⁷−3ζ⁸−3ζ¹³	−3ζ²−3ζ⁷+ζ⁸+ζ¹³	ζ²+ζ⁷−3ζ⁸−3ζ¹³	ζ−3ζ⁴+ζ¹¹−3ζ¹⁴	−3ζ+ζ⁴−3ζ¹¹+ζ¹⁴	ζ−3ζ⁴+ζ¹¹−3ζ¹⁴	−3ζ+ζ⁴−3ζ¹¹+ζ¹⁴	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	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
χ₃₆	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	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	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
χ₃₇	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	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	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
χ₃₈	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	6	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	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
χ₃₉	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	-2	−3ζ+ζ⁴−3ζ¹¹+ζ¹⁴	ζ−3ζ⁴+ζ¹¹−3ζ¹⁴	−3ζ+ζ⁴−3ζ¹¹+ζ¹⁴	ζ−3ζ⁴+ζ¹¹−3ζ¹⁴	−3ζ²−3ζ⁷+ζ⁸+ζ¹³	ζ²+ζ⁷−3ζ⁸−3ζ¹³	−3ζ²−3ζ⁷+ζ⁸+ζ¹³	ζ²+ζ⁷−3ζ⁸−3ζ¹³	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	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
χ₄₀	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	-2	ζ−3ζ⁴+ζ¹¹−3ζ¹⁴	−3ζ+ζ⁴−3ζ¹¹+ζ¹⁴	ζ−3ζ⁴+ζ¹¹−3ζ¹⁴	−3ζ+ζ⁴−3ζ¹¹+ζ¹⁴	ζ²+ζ⁷−3ζ⁸−3ζ¹³	−3ζ²−3ζ⁷+ζ⁸+ζ¹³	ζ²+ζ⁷−3ζ⁸−3ζ¹³	−3ζ²−3ζ⁷+ζ⁸+ζ¹³	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	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
χ₄₁	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	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	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
χ₄₂	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	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	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
χ₄₃	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	6	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	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
χ₄₄	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	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
χ₄₅	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	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
χ₄₆	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	0	0	-1	-1	1	1	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ²+ζ¹³	−ζ²−ζ¹³	−ζ²−ζ¹³	ζ⁷+ζ⁸	−ζ⁷−ζ⁸	−ζ⁷−ζ⁸	ζ⁴+ζ¹¹	−ζ⁴−ζ¹¹	−ζ⁴−ζ¹¹	ζ+ζ¹⁴	−ζ−ζ¹⁴	−ζ−ζ¹⁴	0	0	0	0	0
χ₄₇	8	8	-8	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ⁷+ζ⁸	−ζ⁷−ζ⁸	−ζ⁷−ζ⁸	ζ²+ζ¹³	−ζ²−ζ¹³	−ζ²−ζ¹³	ζ+ζ¹⁴	−ζ−ζ¹⁴	−ζ−ζ¹⁴	ζ⁴+ζ¹¹	−ζ⁴−ζ¹¹	−ζ⁴−ζ¹¹	0	0	0	0	0
χ₄₈	8	8	-8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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
χ₄₉	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	0	0	-1	-1	1	1	ζ⁴+ζ¹¹	ζ+ζ¹⁴	ζ⁷+ζ⁸	ζ²+ζ¹³	ζ⁴+ζ¹¹	−ζ⁴−ζ¹¹	−ζ⁴−ζ¹¹	ζ+ζ¹⁴	−ζ−ζ¹⁴	−ζ−ζ¹⁴	ζ⁷+ζ⁸	−ζ⁷−ζ⁸	−ζ⁷−ζ⁸	ζ²+ζ¹³	−ζ²−ζ¹³	−ζ²−ζ¹³	0	0	0	0	0
χ₅₀	8	8	-8	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	ζ+ζ¹⁴	ζ⁴+ζ¹¹	ζ²+ζ¹³	ζ⁷+ζ⁸	ζ+ζ¹⁴	−ζ−ζ¹⁴	−ζ−ζ¹⁴	ζ⁴+ζ¹¹	−ζ⁴−ζ¹¹	−ζ⁴−ζ¹¹	ζ²+ζ¹³	−ζ²−ζ¹³	−ζ²−ζ¹³	ζ⁷+ζ⁸	−ζ⁷−ζ⁸	−ζ⁷−ζ⁸	0	0	0	0	0
χ₅₁	12	-12	0	12	12	0	0	0	0	-12	-12	-2	2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	12	-12	0	$- 3 + 3 \sqrt{5}$	$- 3 - 3 \sqrt{5}$	6ζ²+6ζ⁷−6ζ⁸−6ζ¹³	−6ζ²−6ζ⁷+6ζ⁸+6ζ¹³	−6ζ+6ζ⁴−6ζ¹¹+6ζ¹⁴	6ζ−6ζ⁴+6ζ¹¹−6ζ¹⁴	$3 - 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	-2	2	0	0	0	2ζ⁸+2ζ¹³	2ζ²+2ζ⁷	−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷	2ζ+2ζ¹¹	2ζ⁴+2ζ¹⁴	−2ζ−2ζ¹¹	−2ζ⁴−2ζ¹⁴	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
χ₅₃	12	-12	0	$- 3 + 3 \sqrt{5}$	$- 3 - 3 \sqrt{5}$	−6ζ²−6ζ⁷+6ζ⁸+6ζ¹³	6ζ²+6ζ⁷−6ζ⁸−6ζ¹³	6ζ−6ζ⁴+6ζ¹¹−6ζ¹⁴	−6ζ+6ζ⁴−6ζ¹¹+6ζ¹⁴	$3 - 3 \sqrt{5}$	$3 + 3 \sqrt{5}$	-2	2	0	0	0	2ζ²+2ζ⁷	2ζ⁸+2ζ¹³	−2ζ²−2ζ⁷	−2ζ⁸−2ζ¹³	2ζ⁴+2ζ¹⁴	2ζ+2ζ¹¹	−2ζ⁴−2ζ¹⁴	−2ζ−2ζ¹¹	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
χ₅₄	12	-12	0	$- 3 - 3 \sqrt{5}$	$- 3 + 3 \sqrt{5}$	−6ζ+6ζ⁴−6ζ¹¹+6ζ¹⁴	6ζ−6ζ⁴+6ζ¹¹−6ζ¹⁴	−6ζ²−6ζ⁷+6ζ⁸+6ζ¹³	6ζ²+6ζ⁷−6ζ⁸−6ζ¹³	$3 + 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	-2	2	0	0	0	2ζ+2ζ¹¹	2ζ⁴+2ζ¹⁴	−2ζ−2ζ¹¹	−2ζ⁴−2ζ¹⁴	2ζ²+2ζ⁷	2ζ⁸+2ζ¹³	−2ζ²−2ζ⁷	−2ζ⁸−2ζ¹³	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	12	-12	0	$- 3 - 3 \sqrt{5}$	$- 3 + 3 \sqrt{5}$	6ζ−6ζ⁴+6ζ¹¹−6ζ¹⁴	−6ζ+6ζ⁴−6ζ¹¹+6ζ¹⁴	6ζ²+6ζ⁷−6ζ⁸−6ζ¹³	−6ζ²−6ζ⁷+6ζ⁸+6ζ¹³	$3 + 3 \sqrt{5}$	$3 - 3 \sqrt{5}$	-2	2	0	0	0	2ζ⁴+2ζ¹⁴	2ζ+2ζ¹¹	−2ζ⁴−2ζ¹⁴	−2ζ−2ζ¹¹	2ζ⁸+2ζ¹³	2ζ²+2ζ⁷	−2ζ⁸−2ζ¹³	−2ζ²−2ζ⁷	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 #14513956