Group #72219564 — 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	36	45	72	72	72	72	80	90	90	90	1	36	45	72	72	72	72	80	90	90	90	1	36	45	72	72	72	72	80	90	90	90	1	36	45	72	72	72	72	80	90	90	90	1	36	45	72	72	72	72	80	90	90	90
order	1	2	2	5	5	10	10	3	4	8	8	5	10	10	5	5	10	10	15	20	40	40	5	10	10	5	5	10	10	15	20	40	40	5	10	10	5	5	10	10	15	20	40	40	5	10	10	5	5	10	10	15	20	40	40
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	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0
χ₄	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0
χ₅	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0
χ₆	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0
χ₇	9	1	1	-1	-1	1	1	0	1	-1	-1	9	1	1	-1	-1	1	1	0	1	-1	-1	9	1	1	-1	-1	1	1	0	1	-1	-1	9	1	1	-1	-1	1	1	0	1	-1	-1	9	1	1	-1	-1	1	1	0	1	-1	-1
χ₈	9	-1	1	-1	-1	-1	-1	0	1	1	1	9	-1	1	-1	-1	-1	-1	0	1	1	1	9	-1	1	-1	-1	-1	-1	0	1	1	1	9	-1	1	-1	-1	-1	-1	0	1	1	1	9	-1	1	-1	-1	-1	-1	0	1	1	1
χ₉	10	0	2	0	0	0	0	1	-2	0	0	10	0	2	0	0	0	0	1	-2	0	0	10	0	2	0	0	0	0	1	-2	0	0	10	0	2	0	0	0	0	1	-2	0	0	10	0	2	0	0	0	0	1	-2	0	0
χ₁₀	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$
χ₁₁	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$
χ₁₂	1	1	1	1	1	1	1	1	1	1	1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²
χ₁₃	1	-1	1	1	1	-1	-1	1	1	-1	-1	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²
χ₁₄	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0	−8ζ²⁸	−2ζ²⁸	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ²⁸	0	0	0	−8ζ³⁶	−2ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ³⁶	0	0	0	−8ζ⁴	−2ζ⁴	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴	0	0	0	−8ζ¹²	−2ζ¹²	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²	0	0	0
χ₁₅	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0	−8ζ²⁸	−2ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ²⁸	0	0	0	−8ζ³⁶	−2ζ³⁶	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ³⁶	0	0	0	−8ζ⁴	−2ζ⁴	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴	0	0	0	−8ζ¹²	−2ζ¹²	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²	0	0	0
χ₁₆	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0	−8ζ²⁸	2ζ²⁸	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ²⁸	0	0	0	−8ζ³⁶	2ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ³⁶	0	0	0	−8ζ⁴	2ζ⁴	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ⁴	0	0	0	−8ζ¹²	2ζ¹²	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ¹²	0	0	0
χ₁₇	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0	−8ζ²⁸	2ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ²⁸	0	0	0	−8ζ³⁶	2ζ³⁶	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ³⁶	0	0	0	−8ζ⁴	2ζ⁴	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴	0	0	0	−8ζ¹²	2ζ¹²	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ¹²	0	0	0
χ₁₈	9	1	1	-1	-1	1	1	0	1	-1	-1	−9ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	0	−ζ²⁸	ζ²⁸	ζ²⁸	−9ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	0	−ζ³⁶	ζ³⁶	ζ³⁶	−9ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	−ζ⁴	ζ⁴	ζ⁴	−9ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	0	−ζ¹²	ζ¹²	ζ¹²
χ₁₉	9	-1	1	-1	-1	-1	-1	0	1	1	1	−9ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	0	−ζ²⁸	−ζ²⁸	−ζ²⁸	−9ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	0	−ζ³⁶	−ζ³⁶	−ζ³⁶	−9ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	0	−ζ⁴	−ζ⁴	−ζ⁴	−9ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	0	−ζ¹²	−ζ¹²	−ζ¹²
χ₂₀	10	0	2	0	0	0	0	1	-2	0	0	−10ζ²⁸	0	−2ζ²⁸	0	0	0	0	−ζ²⁸	2ζ²⁸	0	0	−10ζ³⁶	0	−2ζ³⁶	0	0	0	0	−ζ³⁶	2ζ³⁶	0	0	−10ζ⁴	0	−2ζ⁴	0	0	0	0	−ζ⁴	2ζ⁴	0	0	−10ζ¹²	0	−2ζ¹²	0	0	0	0	−ζ¹²	2ζ¹²	0	0
χ₂₁	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$	−10ζ²⁸	0	2ζ²⁸	0	0	0	0	−ζ²⁸	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	−10ζ³⁶	0	2ζ³⁶	0	0	0	0	−ζ³⁶	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	−10ζ⁴	0	2ζ⁴	0	0	0	0	−ζ⁴	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	−10ζ¹²	0	2ζ¹²	0	0	0	0	−ζ¹²	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷
χ₂₂	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$	−10ζ²⁸	0	2ζ²⁸	0	0	0	0	−ζ²⁸	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−10ζ³⁶	0	2ζ³⁶	0	0	0	0	−ζ³⁶	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−10ζ⁴	0	2ζ⁴	0	0	0	0	−ζ⁴	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−10ζ¹²	0	2ζ¹²	0	0	0	0	−ζ¹²	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷
χ₂₃	1	1	1	1	1	1	1	1	1	1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴
χ₂₄	1	-1	1	1	1	-1	-1	1	1	-1	-1	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴
χ₂₅	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0	−8ζ³⁶	−2ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ³⁶	0	0	0	−8ζ¹²	−2ζ¹²	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²	0	0	0	−8ζ²⁸	−2ζ²⁸	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ²⁸	0	0	0	−8ζ⁴	−2ζ⁴	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴	0	0	0
χ₂₆	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0	−8ζ³⁶	−2ζ³⁶	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ³⁶	0	0	0	−8ζ¹²	−2ζ¹²	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²	0	0	0	−8ζ²⁸	−2ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ²⁸	0	0	0	−8ζ⁴	−2ζ⁴	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴	0	0	0
χ₂₇	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0	−8ζ³⁶	2ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ³⁶	0	0	0	−8ζ¹²	2ζ¹²	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ¹²	0	0	0	−8ζ²⁸	2ζ²⁸	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ²⁸	0	0	0	−8ζ⁴	2ζ⁴	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ⁴	0	0	0
χ₂₈	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0	−8ζ³⁶	2ζ³⁶	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ³⁶	0	0	0	−8ζ¹²	2ζ¹²	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ¹²	0	0	0	−8ζ²⁸	2ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ²⁸	0	0	0	−8ζ⁴	2ζ⁴	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴	0	0	0
χ₂₉	9	1	1	-1	-1	1	1	0	1	-1	-1	−9ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	0	−ζ³⁶	ζ³⁶	ζ³⁶	−9ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	0	−ζ¹²	ζ¹²	ζ¹²	−9ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	0	−ζ²⁸	ζ²⁸	ζ²⁸	−9ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	−ζ⁴	ζ⁴	ζ⁴
χ₃₀	9	-1	1	-1	-1	-1	-1	0	1	1	1	−9ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	0	−ζ³⁶	−ζ³⁶	−ζ³⁶	−9ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	0	−ζ¹²	−ζ¹²	−ζ¹²	−9ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	0	−ζ²⁸	−ζ²⁸	−ζ²⁸	−9ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	0	−ζ⁴	−ζ⁴	−ζ⁴
χ₃₁	10	0	2	0	0	0	0	1	-2	0	0	−10ζ³⁶	0	−2ζ³⁶	0	0	0	0	−ζ³⁶	2ζ³⁶	0	0	−10ζ¹²	0	−2ζ¹²	0	0	0	0	−ζ¹²	2ζ¹²	0	0	−10ζ²⁸	0	−2ζ²⁸	0	0	0	0	−ζ²⁸	2ζ²⁸	0	0	−10ζ⁴	0	−2ζ⁴	0	0	0	0	−ζ⁴	2ζ⁴	0	0
χ₃₂	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$	−10ζ³⁶	0	2ζ³⁶	0	0	0	0	−ζ³⁶	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	−10ζ¹²	0	2ζ¹²	0	0	0	0	−ζ¹²	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−10ζ²⁸	0	2ζ²⁸	0	0	0	0	−ζ²⁸	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	−10ζ⁴	0	2ζ⁴	0	0	0	0	−ζ⁴	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹
χ₃₃	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$	−10ζ³⁶	0	2ζ³⁶	0	0	0	0	−ζ³⁶	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−10ζ¹²	0	2ζ¹²	0	0	0	0	−ζ¹²	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	−10ζ²⁸	0	2ζ²⁸	0	0	0	0	−ζ²⁸	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−10ζ⁴	0	2ζ⁴	0	0	0	0	−ζ⁴	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹
χ₃₄	1	1	1	1	1	1	1	1	1	1	1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶
χ₃₅	1	-1	1	1	1	-1	-1	1	1	-1	-1	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶
χ₃₆	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0	−8ζ⁴	−2ζ⁴	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴	0	0	0	−8ζ²⁸	−2ζ²⁸	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ²⁸	0	0	0	−8ζ¹²	−2ζ¹²	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²	0	0	0	−8ζ³⁶	−2ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ³⁶	0	0	0
χ₃₇	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0	−8ζ⁴	−2ζ⁴	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴	0	0	0	−8ζ²⁸	−2ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ²⁸	0	0	0	−8ζ¹²	−2ζ¹²	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²	0	0	0	−8ζ³⁶	−2ζ³⁶	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ³⁶	0	0	0
χ₃₈	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0	−8ζ⁴	2ζ⁴	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ⁴	0	0	0	−8ζ²⁸	2ζ²⁸	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ²⁸	0	0	0	−8ζ¹²	2ζ¹²	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ¹²	0	0	0	−8ζ³⁶	2ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ³⁶	0	0	0
χ₃₉	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0	−8ζ⁴	2ζ⁴	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴	0	0	0	−8ζ²⁸	2ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ²⁸	0	0	0	−8ζ¹²	2ζ¹²	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ¹²	0	0	0	−8ζ³⁶	2ζ³⁶	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ³⁶	0	0	0
χ₄₀	9	1	1	-1	-1	1	1	0	1	-1	-1	−9ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	−ζ⁴	ζ⁴	ζ⁴	−9ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	0	−ζ²⁸	ζ²⁸	ζ²⁸	−9ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	0	−ζ¹²	ζ¹²	ζ¹²	−9ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	0	−ζ³⁶	ζ³⁶	ζ³⁶
χ₄₁	9	-1	1	-1	-1	-1	-1	0	1	1	1	−9ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	0	−ζ⁴	−ζ⁴	−ζ⁴	−9ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	0	−ζ²⁸	−ζ²⁸	−ζ²⁸	−9ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	0	−ζ¹²	−ζ¹²	−ζ¹²	−9ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	0	−ζ³⁶	−ζ³⁶	−ζ³⁶
χ₄₂	10	0	2	0	0	0	0	1	-2	0	0	−10ζ⁴	0	−2ζ⁴	0	0	0	0	−ζ⁴	2ζ⁴	0	0	−10ζ²⁸	0	−2ζ²⁸	0	0	0	0	−ζ²⁸	2ζ²⁸	0	0	−10ζ¹²	0	−2ζ¹²	0	0	0	0	−ζ¹²	2ζ¹²	0	0	−10ζ³⁶	0	−2ζ³⁶	0	0	0	0	−ζ³⁶	2ζ³⁶	0	0
χ₄₃	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$	−10ζ⁴	0	2ζ⁴	0	0	0	0	−ζ⁴	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	−10ζ²⁸	0	2ζ²⁸	0	0	0	0	−ζ²⁸	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	−10ζ¹²	0	2ζ¹²	0	0	0	0	−ζ¹²	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−10ζ³⁶	0	2ζ³⁶	0	0	0	0	−ζ³⁶	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹
χ₄₄	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$	−10ζ⁴	0	2ζ⁴	0	0	0	0	−ζ⁴	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−10ζ²⁸	0	2ζ²⁸	0	0	0	0	−ζ²⁸	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−10ζ¹²	0	2ζ¹²	0	0	0	0	−ζ¹²	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	−10ζ³⁶	0	2ζ³⁶	0	0	0	0	−ζ³⁶	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹
χ₄₅	1	1	1	1	1	1	1	1	1	1	1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸
χ₄₆	1	-1	1	1	1	-1	-1	1	1	-1	-1	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸
χ₄₇	8	2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-1	0	0	0	−8ζ¹²	−2ζ¹²	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²	0	0	0	−8ζ⁴	−2ζ⁴	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴	0	0	0	−8ζ³⁶	−2ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ³⁶	0	0	0	−8ζ²⁸	−2ζ²⁸	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ²⁸	0	0	0
χ₄₈	8	2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-1	0	0	0	−8ζ¹²	−2ζ¹²	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²	0	0	0	−8ζ⁴	−2ζ⁴	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴	0	0	0	−8ζ³⁶	−2ζ³⁶	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ³⁶	0	0	0	−8ζ²⁸	−2ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ²⁸	0	0	0
χ₄₉	8	-2	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	0	0	−8ζ¹²	2ζ¹²	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ¹²	0	0	0	−8ζ⁴	2ζ⁴	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ⁴	0	0	0	−8ζ³⁶	2ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ³⁶	0	0	0	−8ζ²⁸	2ζ²⁸	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ²⁸	0	0	0
χ₅₀	8	-2	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	0	0	−8ζ¹²	2ζ¹²	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ¹²	0	0	0	−8ζ⁴	2ζ⁴	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴	0	0	0	−8ζ³⁶	2ζ³⁶	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ³⁶	0	0	0	−8ζ²⁸	2ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ²⁸	0	0	0
χ₅₁	9	1	1	-1	-1	1	1	0	1	-1	-1	−9ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	0	−ζ¹²	ζ¹²	ζ¹²	−9ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	0	−ζ⁴	ζ⁴	ζ⁴	−9ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	0	−ζ³⁶	ζ³⁶	ζ³⁶	−9ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	0	−ζ²⁸	ζ²⁸	ζ²⁸
χ₅₂	9	-1	1	-1	-1	-1	-1	0	1	1	1	−9ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	0	−ζ¹²	−ζ¹²	−ζ¹²	−9ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	0	−ζ⁴	−ζ⁴	−ζ⁴	−9ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	0	−ζ³⁶	−ζ³⁶	−ζ³⁶	−9ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	0	−ζ²⁸	−ζ²⁸	−ζ²⁸
χ₅₃	10	0	2	0	0	0	0	1	-2	0	0	−10ζ¹²	0	−2ζ¹²	0	0	0	0	−ζ¹²	2ζ¹²	0	0	−10ζ⁴	0	−2ζ⁴	0	0	0	0	−ζ⁴	2ζ⁴	0	0	−10ζ³⁶	0	−2ζ³⁶	0	0	0	0	−ζ³⁶	2ζ³⁶	0	0	−10ζ²⁸	0	−2ζ²⁸	0	0	0	0	−ζ²⁸	2ζ²⁸	0	0
χ₅₄	10	0	-2	0	0	0	0	1	0	$\sqrt{2}$	$- \sqrt{2}$	−10ζ¹²	0	2ζ¹²	0	0	0	0	−ζ¹²	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−10ζ⁴	0	2ζ⁴	0	0	0	0	−ζ⁴	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	−10ζ³⁶	0	2ζ³⁶	0	0	0	0	−ζ³⁶	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	−10ζ²⁸	0	2ζ²⁸	0	0	0	0	−ζ²⁸	0	ζ¹³−ζ²³	−ζ¹³+ζ²³
χ₅₅	10	0	-2	0	0	0	0	1	0	$- \sqrt{2}$	$\sqrt{2}$	−10ζ¹²	0	2ζ¹²	0	0	0	0	−ζ¹²	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	−10ζ⁴	0	2ζ⁴	0	0	0	0	−ζ⁴	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−10ζ³⁶	0	2ζ³⁶	0	0	0	0	−ζ³⁶	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−10ζ²⁸	0	2ζ²⁸	0	0	0	0	−ζ²⁸	0	−ζ¹³+ζ²³	ζ¹³−ζ²³

Character table — Group #72219564