Group #13104159 — 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
size	1	1	2	2	2	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	25	25	40	40	40	40	50	50	50	50	50	50	50	50	50	50	50	80	80	80	80	80	80	80	80
order	1	2	4	8	8	5	5	5	5	10	10	10	10	5	10	20	20	20	20	20	20	40	40	40	40	40	40	40	40	40	40	40	40	2	2	2	2	4	4	4	4	4	4	4	8	8	8	8	8	8	10	10	10	10	20	20	20	20
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
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
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
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
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	-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	-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	-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	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1
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	0	0	0	0	0	0	0	0	-2	-2	-2	0	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	0	0	0	0	0	0	0	0	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	-2	0	0	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	2	2	0	0	0	0	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₂	2	2	-2	0	0	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	2	2	0	0	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₃	2	2	-2	0	0	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	-2	-2	0	0	0	0	0	0	0	0	2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0
χ₁₄	2	2	-2	0	0	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	-2	-2	0	0	0	0	0	0	0	0	2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0
χ₁₅	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	0	0	0	0	$2 i$	$- 2 i$	0	$\sqrt{2}$	$- \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₆	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	0	0	0	0	$- 2 i$	$2 i$	0	$\sqrt{2}$	$- \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₇	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₈	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₉	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	-2	0	0	0	0	0	0	$2 i$	$- 2 i$	0	$- \sqrt{2}$	$\sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₀	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	-2	0	0	0	0	0	0	$- 2 i$	$2 i$	0	$- \sqrt{2}$	$\sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₁	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	2	0	0	0	0	$2 i$	$- 2 i$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₂	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	2	0	0	0	0	$- 2 i$	$2 i$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	4	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	-1	-1	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	-1	-1	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	0	0	2	2	0	0	0	0	0	0	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	0	0
χ₂₄	4	4	4	4	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	-1	-1	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	-1	-1	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	0	0	-2	-2	0	0	0	0	0	0	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	0	0
χ₂₅	4	4	4	4	4	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	-1	-1	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	-1	-1	-1	-1	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	-1	-1	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$
χ₂₆	4	4	4	4	4	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	-1	-1	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	-1	-1	-1	-1	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	-1	-1	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$
χ₂₇	4	4	4	4	4	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	-1	-1	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	-1	-1	-1	-1	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	-1	-1	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$
χ₂₈	4	4	4	4	4	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	-1	-1	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	-1	-1	-1	-1	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	-1	-1	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$
χ₂₉	4	4	4	4	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	-1	-1	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	-1	-1	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	0	0	2	2	0	0	0	0	0	0	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	0	0
χ₃₀	4	4	4	4	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	-1	-1	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	-1	-1	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	0	0	-2	-2	0	0	0	0	0	0	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	0	0
χ₃₁	4	4	4	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	1	1	$1 - \sqrt{5}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$1 + \sqrt{5}$	1	1	$1 - \sqrt{5}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$1 + \sqrt{5}$	0	0	2	-2	0	0	0	0	0	0	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	0	0
χ₃₂	4	4	4	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-1	-1	1	1	$1 - \sqrt{5}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$1 + \sqrt{5}$	1	1	$1 - \sqrt{5}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$1 + \sqrt{5}$	0	0	-2	2	0	0	0	0	0	0	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	0	0
χ₃₃	4	4	4	-4	-4	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	-1	-1	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	-1	-1	1	1	$\frac{- 3 + \sqrt{5}}{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$\frac{- 3 - \sqrt{5}}{2}$	1	1	$\frac{- 3 + \sqrt{5}}{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$\frac{- 3 - \sqrt{5}}{2}$	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$
χ₃₄	4	4	4	-4	-4	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	-1	-1	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	-1	-1	1	1	$\frac{- 3 + \sqrt{5}}{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$\frac{- 3 - \sqrt{5}}{2}$	1	1	$\frac{- 3 + \sqrt{5}}{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$\frac{- 3 - \sqrt{5}}{2}$	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$
χ₃₅	4	4	4	-4	-4	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	-1	-1	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	-1	-1	1	1	$\frac{- 3 - \sqrt{5}}{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$\frac{- 3 + \sqrt{5}}{2}$	1	1	$\frac{- 3 - \sqrt{5}}{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$\frac{- 3 + \sqrt{5}}{2}$	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$
χ₃₆	4	4	4	-4	-4	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	-1	-1	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	-1	-1	1	1	$\frac{- 3 - \sqrt{5}}{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$\frac{- 3 + \sqrt{5}}{2}$	1	1	$\frac{- 3 - \sqrt{5}}{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$\frac{- 3 + \sqrt{5}}{2}$	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$
χ₃₇	4	4	4	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	1	1	$1 + \sqrt{5}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$1 - \sqrt{5}$	1	1	$1 + \sqrt{5}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$1 - \sqrt{5}$	0	0	2	-2	0	0	0	0	0	0	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	0	0
χ₃₈	4	4	4	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-1	-1	1	1	$1 + \sqrt{5}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$1 - \sqrt{5}$	1	1	$1 + \sqrt{5}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$1 - \sqrt{5}$	0	0	-2	2	0	0	0	0	0	0	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	0	0
χ₃₉	8	8	8	8	8	-2	-2	-2	-2	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	3	3	-2	-2	-2	-2	3	3	-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
χ₄₀	8	8	8	-8	-8	-2	-2	-2	-2	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	-3	-3	2	2	2	2	-3	-3	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
χ₄₁	8	8	-8	0	0	-2	-2	-2	-2	-2	-2	-2	-2	3	3	2	2	2	2	-3	-3	$5 i$	$- 5 i$	0	0	0	0	$5 i$	$- 5 i$	0	0	0	0	0	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	8	8	-8	0	0	-2	-2	-2	-2	-2	-2	-2	-2	3	3	2	2	2	2	-3	-3	$- 5 i$	$5 i$	0	0	0	0	$- 5 i$	$5 i$	0	0	0	0	0	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	8	8	-8	0	0	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$3 - \sqrt{5}$	$3 + \sqrt{5}$	$3 - \sqrt{5}$	$3 + \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	-2	-2	$- 3 + \sqrt{5}$	$- 3 - \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	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	0	0	0	0
χ₄₄	8	8	-8	0	0	$3 - \sqrt{5}$	$3 + \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$3 - \sqrt{5}$	$3 + \sqrt{5}$	-2	-2	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 3 + \sqrt{5}$	$- 3 - \sqrt{5}$	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	0	0	0	0
χ₄₅	8	8	-8	0	0	$3 + \sqrt{5}$	$3 - \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$3 + \sqrt{5}$	$3 - \sqrt{5}$	-2	-2	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 3 - \sqrt{5}$	$- 3 + \sqrt{5}$	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	0	0	0	0
χ₄₆	8	8	-8	0	0	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$3 + \sqrt{5}$	$3 - \sqrt{5}$	$3 + \sqrt{5}$	$3 - \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	-2	-2	$- 3 - \sqrt{5}$	$- 3 + \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	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	0	0	0	0
χ₄₇	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-2	-2	-2	-2	2	2	2	2	3	-3	0	0	0	0	$5 i$	$- 5 i$	−ζ⁷−4ζ¹³−4ζ²¹−ζ²³−4ζ²⁹−ζ³¹−4ζ³⁷−ζ³⁹	4ζ⁷+ζ¹³+ζ²¹+4ζ²³+ζ²⁹+4ζ³¹+ζ³⁷+4ζ³⁹	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ⁷+4ζ¹³+4ζ²¹+ζ²³+4ζ²⁹+ζ³¹+4ζ³⁷+ζ³⁹	−4ζ⁷−ζ¹³−ζ²¹−4ζ²³−ζ²⁹−4ζ³¹−ζ³⁷−4ζ³⁹	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	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
χ₄₈	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-2	-2	-2	-2	2	2	2	2	3	-3	0	0	0	0	$- 5 i$	$5 i$	4ζ⁷+ζ¹³+ζ²¹+4ζ²³+ζ²⁹+4ζ³¹+ζ³⁷+4ζ³⁹	−ζ⁷−4ζ¹³−4ζ²¹−ζ²³−4ζ²⁹−ζ³¹−4ζ³⁷−ζ³⁹	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	−4ζ⁷−ζ¹³−ζ²¹−4ζ²³−ζ²⁹−4ζ³¹−ζ³⁷−4ζ³⁹	ζ⁷+4ζ¹³+4ζ²¹+ζ²³+4ζ²⁹+ζ³¹+4ζ³⁷+ζ³⁹	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	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
χ₄₉	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$3 - \sqrt{5}$	$3 + \sqrt{5}$	$- 3 + \sqrt{5}$	$- 3 - \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	-2	2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	2ζ⁷−2ζ¹³−ζ²¹+2ζ²³−ζ²⁹+ζ³¹−2ζ³⁷+ζ³⁹	ζ⁷−ζ¹³−2ζ²¹+ζ²³−2ζ²⁹+2ζ³¹−ζ³⁷+2ζ³⁹	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	$\sqrt{2}$	$\sqrt{2}$	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	−2ζ⁷+2ζ¹³+ζ²¹−2ζ²³+ζ²⁹−ζ³¹+2ζ³⁷−ζ³⁹	−ζ⁷+ζ¹³+2ζ²¹−ζ²³+2ζ²⁹−2ζ³¹+ζ³⁷−2ζ³⁹	−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
χ₅₀	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$3 - \sqrt{5}$	$3 + \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 3 + \sqrt{5}$	$- 3 - \sqrt{5}$	-2	2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	2ζ⁷−2ζ¹³−ζ²¹+2ζ²³−ζ²⁹+ζ³¹−2ζ³⁷+ζ³⁹	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	ζ⁷−ζ¹³−2ζ²¹+ζ²³−2ζ²⁹+2ζ³¹−ζ³⁷+2ζ³⁹	$\sqrt{2}$	$\sqrt{2}$	−2ζ⁷+2ζ¹³+ζ²¹−2ζ²³+ζ²⁹−ζ³¹+2ζ³⁷−ζ³⁹	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	−ζ⁷+ζ¹³+2ζ²¹−ζ²³+2ζ²⁹−2ζ³¹+ζ³⁷−2ζ³⁹	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
χ₅₁	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$3 + \sqrt{5}$	$3 - \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 3 - \sqrt{5}$	$- 3 + \sqrt{5}$	-2	2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	ζ⁷−ζ¹³−2ζ²¹+ζ²³−2ζ²⁹+2ζ³¹−ζ³⁷+2ζ³⁹	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	2ζ⁷−2ζ¹³−ζ²¹+2ζ²³−ζ²⁹+ζ³¹−2ζ³⁷+ζ³⁹	$\sqrt{2}$	$\sqrt{2}$	−ζ⁷+ζ¹³+2ζ²¹−ζ²³+2ζ²⁹−2ζ³¹+ζ³⁷−2ζ³⁹	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	−2ζ⁷+2ζ¹³+ζ²¹−2ζ²³+ζ²⁹−ζ³¹+2ζ³⁷−ζ³⁹	0	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	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$3 + \sqrt{5}$	$3 - \sqrt{5}$	$- 3 - \sqrt{5}$	$- 3 + \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	-2	2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	ζ⁷−ζ¹³−2ζ²¹+ζ²³−2ζ²⁹+2ζ³¹−ζ³⁷+2ζ³⁹	2ζ⁷−2ζ¹³−ζ²¹+2ζ²³−ζ²⁹+ζ³¹−2ζ³⁷+ζ³⁹	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	$\sqrt{2}$	$\sqrt{2}$	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	−ζ⁷+ζ¹³+2ζ²¹−ζ²³+2ζ²⁹−2ζ³¹+ζ³⁷−2ζ³⁹	−2ζ⁷+2ζ¹³+ζ²¹−2ζ²³+ζ²⁹−ζ³¹+2ζ³⁷−ζ³⁹	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
χ₅₃	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-2	-2	-2	-2	2	2	2	2	3	-3	0	0	0	0	$5 i$	$- 5 i$	ζ⁷+4ζ¹³+4ζ²¹+ζ²³+4ζ²⁹+ζ³¹+4ζ³⁷+ζ³⁹	−4ζ⁷−ζ¹³−ζ²¹−4ζ²³−ζ²⁹−4ζ³¹−ζ³⁷−4ζ³⁹	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ⁷−4ζ¹³−4ζ²¹−ζ²³−4ζ²⁹−ζ³¹−4ζ³⁷−ζ³⁹	4ζ⁷+ζ¹³+ζ²¹+4ζ²³+ζ²⁹+4ζ³¹+ζ³⁷+4ζ³⁹	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	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
χ₅₄	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-2	-2	-2	-2	2	2	2	2	3	-3	0	0	0	0	$- 5 i$	$5 i$	−4ζ⁷−ζ¹³−ζ²¹−4ζ²³−ζ²⁹−4ζ³¹−ζ³⁷−4ζ³⁹	ζ⁷+4ζ¹³+4ζ²¹+ζ²³+4ζ²⁹+ζ³¹+4ζ³⁷+ζ³⁹	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	4ζ⁷+ζ¹³+ζ²¹+4ζ²³+ζ²⁹+4ζ³¹+ζ³⁷+4ζ³⁹	−ζ⁷−4ζ¹³−4ζ²¹−ζ²³−4ζ²⁹−ζ³¹−4ζ³⁷−ζ³⁹	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	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
χ₅₅	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$3 - \sqrt{5}$	$3 + \sqrt{5}$	$- 3 + \sqrt{5}$	$- 3 - \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	-2	2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	−2ζ⁷+2ζ¹³+ζ²¹−2ζ²³+ζ²⁹−ζ³¹+2ζ³⁷−ζ³⁹	−ζ⁷+ζ¹³+2ζ²¹−ζ²³+2ζ²⁹−2ζ³¹+ζ³⁷−2ζ³⁹	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	$- \sqrt{2}$	$- \sqrt{2}$	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	2ζ⁷−2ζ¹³−ζ²¹+2ζ²³−ζ²⁹+ζ³¹−2ζ³⁷+ζ³⁹	ζ⁷−ζ¹³−2ζ²¹+ζ²³−2ζ²⁹+2ζ³¹−ζ³⁷+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
χ₅₆	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$3 - \sqrt{5}$	$3 + \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$- 3 + \sqrt{5}$	$- 3 - \sqrt{5}$	-2	2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	−2ζ⁷+2ζ¹³+ζ²¹−2ζ²³+ζ²⁹−ζ³¹+2ζ³⁷−ζ³⁹	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	−ζ⁷+ζ¹³+2ζ²¹−ζ²³+2ζ²⁹−2ζ³¹+ζ³⁷−2ζ³⁹	$- \sqrt{2}$	$- \sqrt{2}$	2ζ⁷−2ζ¹³−ζ²¹+2ζ²³−ζ²⁹+ζ³¹−2ζ³⁷+ζ³⁹	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	ζ⁷−ζ¹³−2ζ²¹+ζ²³−2ζ²⁹+2ζ³¹−ζ³⁷+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
χ₅₇	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$3 + \sqrt{5}$	$3 - \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$- 2 - 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	$2 + 2 \sqrt{5}$	$- 3 - \sqrt{5}$	$- 3 + \sqrt{5}$	-2	2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	−ζ⁷+ζ¹³+2ζ²¹−ζ²³+2ζ²⁹−2ζ³¹+ζ³⁷−2ζ³⁹	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	−2ζ⁷+2ζ¹³+ζ²¹−2ζ²³+ζ²⁹−ζ³¹+2ζ³⁷−ζ³⁹	$- \sqrt{2}$	$- \sqrt{2}$	ζ⁷−ζ¹³−2ζ²¹+ζ²³−2ζ²⁹+2ζ³¹−ζ³⁷+2ζ³⁹	−2ζ⁷+2ζ¹³−2ζ²³+2ζ³⁷	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	2ζ⁷−2ζ¹³−ζ²¹+2ζ²³−ζ²⁹+ζ³¹−2ζ³⁷+ζ³⁹	0	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	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$- 2 - 2 \sqrt{5}$	$- 2 + 2 \sqrt{5}$	$3 + \sqrt{5}$	$3 - \sqrt{5}$	$- 3 - \sqrt{5}$	$- 3 + \sqrt{5}$	$2 + 2 \sqrt{5}$	$2 - 2 \sqrt{5}$	-2	2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	−2ζ²¹−2ζ²⁹+2ζ³¹+2ζ³⁹	−ζ⁷+ζ¹³+2ζ²¹−ζ²³+2ζ²⁹−2ζ³¹+ζ³⁷−2ζ³⁹	−2ζ⁷+2ζ¹³+ζ²¹−2ζ²³+ζ²⁹−ζ³¹+2ζ³⁷−ζ³⁹	2ζ⁷−2ζ¹³+2ζ²³−2ζ³⁷	$- \sqrt{2}$	$- \sqrt{2}$	2ζ²¹+2ζ²⁹−2ζ³¹−2ζ³⁹	ζ⁷−ζ¹³−2ζ²¹+ζ²³−2ζ²⁹+2ζ³¹−ζ³⁷+2ζ³⁹	2ζ⁷−2ζ¹³−ζ²¹+2ζ²³−ζ²⁹+ζ³¹−2ζ³⁷+ζ³⁹	−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

Character table — Group #13104159