Group #14512502 — 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	C₅₉
size	1	1	2	4	4	4	4	4	4	4	4	4	6	6	8	8	8	8	10	10	12	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	20	24	24	24	24	30	30	60	80	80	80	80	120	120	120	120	120	120	120	120
order	1	2	2	4	5	10	10	10	20	20	20	20	4	4	3	6	6	6	4	4	2	12	12	15	15	30	30	30	30	30	30	60	60	60	60	60	60	60	60	4	10	10	20	20	2	2	2	12	12	12	12	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	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	-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	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
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	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
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	-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	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	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$
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	1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	1	1	-1	-1	1	-1	-1	1	1	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-2	-2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	2	2	2	2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-2	2	2	2	2	-2	-2	-2	-2	2	2	-1	-1	-1	-1	2	2	-2	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-2	-2	-2	2	2	2	2	-2	-1	-1	1	1	0	0	0	0	0	0	0	0
χ₁₂	2	2	2	-2	2	2	2	2	-2	-2	-2	-2	2	2	-1	-1	-1	-1	-2	-2	-2	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	2	-2	-2	2	2	-2	-2	2	1	1	-1	-1	0	0	0	0	0	0	0	0
χ₁₃	2	2	-2	0	2	-2	-2	2	0	0	0	0	2	-2	2	-2	-2	2	2	-2	0	0	0	2	2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	2	-2	2	-2	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₁₄	2	2	-2	0	2	-2	-2	2	0	0	0	0	2	-2	2	-2	-2	2	-2	2	0	0	0	2	2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	2	-2	-2	2	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₁₅	2	2	-2	0	2	-2	-2	2	0	0	0	0	2	-2	-1	1	1	-1	2	-2	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	1	1	1	-1	-1	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	-2	2	-2	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₆	2	2	-2	0	2	-2	-2	2	0	0	0	0	2	-2	-1	1	1	-1	2	-2	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	1	1	1	-1	-1	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	-2	2	-2	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₇	2	2	-2	0	2	-2	-2	2	0	0	0	0	2	-2	-1	1	1	-1	-2	2	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	1	1	1	-1	-1	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	2	-2	-2	2	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₈	2	2	-2	0	2	-2	-2	2	0	0	0	0	2	-2	-1	1	1	-1	-2	2	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	1	1	1	-1	-1	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	2	-2	-2	2	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₉	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	3	3	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₂₀	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	3	3	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₂₁	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	-3	-3	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	-1	-1	-1	-1	1	1	1	0	0	0	0	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
χ₂₂	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	-3	-3	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	-1	-1	-1	-1	1	1	1	0	0	0	0	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₂₃	3	3	3	-3	3	3	3	3	-3	-3	-3	-3	-1	-1	0	0	0	0	3	3	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	1	1	-1	-1	-1	-1	1	0	0	0	0	1	-1	1	-1	-1	1	-1	1
χ₂₄	3	3	3	-3	3	3	3	3	-3	-3	-3	-3	-1	-1	0	0	0	0	3	3	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	1	1	-1	-1	-1	-1	1	0	0	0	0	-1	1	-1	1	1	-1	1	-1
χ₂₅	3	3	3	-3	3	3	3	3	-3	-3	-3	-3	-1	-1	0	0	0	0	-3	-3	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	1	1	-1	-1	1	1	-1	0	0	0	0	$i$	$- i$	$- i$	$i$	$- i$	$i$	$i$	$- i$
χ₂₆	3	3	3	-3	3	3	3	3	-3	-3	-3	-3	-1	-1	0	0	0	0	-3	-3	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	1	1	-1	-1	1	1	-1	0	0	0	0	$- i$	$i$	$i$	$- i$	$i$	$- i$	$- i$	$i$
χ₂₇	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	4	4	4	4	4	4	0	0	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	4	4	-2	-2	-2	-2	0	0	4	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	4	4	-2	-2	-2	-2	0	0	4	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	-4	-1	-1	-1	-1	1	1	1	1	4	4	4	4	4	4	0	0	-4	-4	-4	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	4	-4	-1	-1	-1	-1	1	1	1	1	4	4	-2	-2	-2	-2	0	0	-4	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	4	-4	-1	-1	-1	-1	1	1	1	1	4	4	-2	-2	-2	-2	0	0	-4	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-4	0	-1	1	1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	4	-4	4	-4	-4	4	0	0	0	0	0	-1	-1	1	1	1	1	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	$- \sqrt{5}$	$\sqrt{5}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-4	0	-1	1	1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	4	-4	-2	2	2	-2	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	0	$- \sqrt{5}$	$\sqrt{5}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	4	-4	0	-1	1	1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	4	-4	-2	2	2	-2	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	0	$- \sqrt{5}$	$\sqrt{5}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	-4	0	-1	1	1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	4	-4	4	-4	-4	4	0	0	0	0	0	-1	-1	1	1	1	1	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	$\sqrt{5}$	$- \sqrt{5}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	4	-4	0	-1	1	1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	4	-4	-2	2	2	-2	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	0	$\sqrt{5}$	$- \sqrt{5}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	4	-4	0	-1	1	1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	4	-4	-2	2	2	-2	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	0	$\sqrt{5}$	$- \sqrt{5}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-6	0	6	-6	-6	6	0	0	0	0	-2	2	0	0	0	0	6	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	6	-6	0	6	-6	-6	6	0	0	0	0	-2	2	0	0	0	0	-6	6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	-8	0	0	8	0	0	-8	0	0	0	0	0	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	0	0	0	0	0	2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-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
χ₄₂	8	-8	0	0	8	0	0	-8	0	0	0	0	0	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	0	0	0	0	0	2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-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
χ₄₃	8	-8	0	0	8	0	0	-8	0	0	0	0	0	0	-4	0	0	4	0	0	0	0	0	-4	-4	0	0	0	0	4	4	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	0	0	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	0	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	0	0	0	0	0	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	ζ¹⁹+ζ²³−ζ³¹−ζ⁴⁷	−ζ¹⁹−ζ²³+ζ³¹+ζ⁴⁷	−ζ⁷+ζ¹¹+ζ⁴³−ζ⁵⁹	ζ⁷−ζ¹¹−ζ⁴³+ζ⁵⁹	ζ¹⁹−ζ²³−ζ³¹+ζ⁴⁷	−ζ¹⁹+ζ²³+ζ³¹−ζ⁴⁷	ζ⁷+ζ¹¹−ζ⁴³−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ⁴³+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	-8	0	0	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	0	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	0	0	0	0	0	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	−ζ⁷−ζ¹¹+ζ⁴³+ζ⁵⁹	ζ⁷+ζ¹¹−ζ⁴³−ζ⁵⁹	−ζ¹⁹+ζ²³+ζ³¹−ζ⁴⁷	ζ¹⁹−ζ²³−ζ³¹+ζ⁴⁷	ζ⁷−ζ¹¹−ζ⁴³+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ⁴³−ζ⁵⁹	−ζ¹⁹−ζ²³+ζ³¹+ζ⁴⁷	ζ¹⁹+ζ²³−ζ³¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	8	-8	0	0	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	0	0	-4	0	0	4	0	0	0	0	0	1	1	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	-1	-1	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	-8	0	0	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	0	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	0	0	0	0	0	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	−ζ¹⁹−ζ²³+ζ³¹+ζ⁴⁷	ζ¹⁹+ζ²³−ζ³¹−ζ⁴⁷	ζ⁷−ζ¹¹−ζ⁴³+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ⁴³−ζ⁵⁹	−ζ¹⁹+ζ²³+ζ³¹−ζ⁴⁷	ζ¹⁹−ζ²³−ζ³¹+ζ⁴⁷	−ζ⁷−ζ¹¹+ζ⁴³+ζ⁵⁹	ζ⁷+ζ¹¹−ζ⁴³−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	-8	0	0	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	0	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	0	0	0	0	0	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	ζ⁷+ζ¹¹−ζ⁴³−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ⁴³+ζ⁵⁹	ζ¹⁹−ζ²³−ζ³¹+ζ⁴⁷	−ζ¹⁹+ζ²³+ζ³¹−ζ⁴⁷	−ζ⁷+ζ¹¹+ζ⁴³−ζ⁵⁹	ζ⁷−ζ¹¹−ζ⁴³+ζ⁵⁹	ζ¹⁹+ζ²³−ζ³¹−ζ⁴⁷	−ζ¹⁹−ζ²³+ζ³¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	-8	0	0	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	0	0	-4	0	0	4	0	0	0	0	0	1	1	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	-1	-1	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	8	-8	0	0	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	0	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	0	0	0	0	0	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	−ζ⁷+ζ¹¹+ζ⁴³−ζ⁵⁹	ζ⁷−ζ¹¹−ζ⁴³+ζ⁵⁹	−ζ¹⁹−ζ²³+ζ³¹+ζ⁴⁷	ζ¹⁹+ζ²³−ζ³¹−ζ⁴⁷	−ζ⁷−ζ¹¹+ζ⁴³+ζ⁵⁹	ζ⁷+ζ¹¹−ζ⁴³−ζ⁵⁹	ζ¹⁹−ζ²³−ζ³¹+ζ⁴⁷	−ζ¹⁹+ζ²³+ζ³¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	8	-8	0	0	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	0	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	0	0	0	0	0	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	−ζ¹⁹+ζ²³+ζ³¹−ζ⁴⁷	ζ¹⁹−ζ²³−ζ³¹+ζ⁴⁷	ζ⁷+ζ¹¹−ζ⁴³−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ⁴³+ζ⁵⁹	ζ¹⁹+ζ²³−ζ³¹−ζ⁴⁷	−ζ¹⁹−ζ²³+ζ³¹+ζ⁴⁷	ζ⁷−ζ¹¹−ζ⁴³+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ⁴³−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	8	-8	0	0	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	0	0	-4	0	0	4	0	0	0	0	0	1	1	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	-1	-1	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	8	-8	0	0	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	0	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	0	0	0	0	0	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	ζ⁷−ζ¹¹−ζ⁴³+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ⁴³−ζ⁵⁹	ζ¹⁹+ζ²³−ζ³¹−ζ⁴⁷	−ζ¹⁹−ζ²³+ζ³¹+ζ⁴⁷	ζ⁷+ζ¹¹−ζ⁴³−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ⁴³+ζ⁵⁹	−ζ¹⁹+ζ²³+ζ³¹−ζ⁴⁷	ζ¹⁹−ζ²³−ζ³¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	-8	0	0	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	0	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	0	0	0	0	0	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	ζ¹⁹−ζ²³−ζ³¹+ζ⁴⁷	−ζ¹⁹+ζ²³+ζ³¹−ζ⁴⁷	−ζ⁷−ζ¹¹+ζ⁴³+ζ⁵⁹	ζ⁷+ζ¹¹−ζ⁴³−ζ⁵⁹	−ζ¹⁹−ζ²³+ζ³¹+ζ⁴⁷	ζ¹⁹+ζ²³−ζ³¹−ζ⁴⁷	−ζ⁷+ζ¹¹+ζ⁴³−ζ⁵⁹	ζ⁷−ζ¹¹−ζ⁴³+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	8	-8	0	0	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	−2ζ⁷+2ζ¹¹−2ζ¹⁹+2ζ²³+2ζ³¹+2ζ⁴³−2ζ⁴⁷−2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ¹⁹−2ζ²³−2ζ³¹−2ζ⁴³+2ζ⁴⁷+2ζ⁵⁹	2ζ⁷+2ζ¹¹−2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴³+2ζ⁴⁷−2ζ⁵⁹	−2ζ⁷−2ζ¹¹+2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴³−2ζ⁴⁷+2ζ⁵⁹	0	0	-4	0	0	4	0	0	0	0	0	1	1	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	-1	-1	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	12	12	12	12	-3	-3	-3	-3	-3	-3	-3	-3	-4	-4	0	0	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	12	12	12	-12	-3	-3	-3	-3	3	3	3	3	-4	-4	0	0	0	0	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	12	12	-12	0	-3	3	3	-3	$- 3 \sqrt{5}$	$- 3 \sqrt{5}$	$3 \sqrt{5}$	$3 \sqrt{5}$	-4	4	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	$\sqrt{5}$	$- \sqrt{5}$	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	12	12	-12	0	-3	3	3	-3	$3 \sqrt{5}$	$3 \sqrt{5}$	$- 3 \sqrt{5}$	$- 3 \sqrt{5}$	-4	4	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	$- \sqrt{5}$	$\sqrt{5}$	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #14512502