Group #87795 — 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	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂	C₇₃	C₇₄	C₇₅	C₇₆	C₇₇	C₇₈	C₇₉	C₈₀	C₈₁	C₈₂	C₈₃	C₈₄	C₈₅
size	1	1	2	2	2	2	2	4	4	4	4	4	4	4	10	10	20	1	1	2	2	2	2	2	4	4	4	4	4	4	4	10	10	20	1	1	2	2	2	2	2	4	4	4	4	4	4	4	10	10	20	1	1	2	2	2	2	2	4	4	4	4	4	4	4	10	10	20	1	1	2	2	2	2	2	4	4	4	4	4	4	4	10	10	20
order	1	2	4	5	5	10	10	4	20	20	20	20	20	20	8	8	2	5	10	20	5	5	10	10	20	20	20	20	20	20	20	40	40	10	5	10	20	5	5	10	10	20	20	20	20	20	20	20	40	40	10	5	10	20	5	5	10	10	20	20	20	20	20	20	20	40	40	10	5	10	20	5	5	10	10	20	20	20	20	20	20	20	40	40	10
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	1	1	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	1	1	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	-1	1	1	-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	-1	1	1	-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	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0
χ₆	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0
χ₇	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0
χ₈	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0
χ₉	2	2	-2	2	2	2	2	0	-2	-2	0	0	0	0	0	0	0	2	2	-2	2	2	2	2	0	-2	-2	0	0	0	0	0	0	0	2	2	-2	2	2	2	2	0	-2	-2	0	0	0	0	0	0	0	2	2	-2	2	2	2	2	0	-2	-2	0	0	0	0	0	0	0	2	2	-2	2	2	2	2	0	-2	-2	0	0	0	0	0	0	0
χ₁₀	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	0	0	0	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	0	0	0	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	0	0	0	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	0	0	0	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	0	0	0
χ₁₁	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	0	0	0	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	0	0	0	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	0	0	0	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	0	0	0	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	0	0	0
χ₁₂	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0
χ₁₃	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0
χ₁₄	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₁₅	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₁₆	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0
χ₁₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²
χ₁₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²
χ₂₀	1	1	1	1	1	1	1	-1	1	1	-1	-1	-1	-1	1	1	-1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²
χ₂₁	1	1	1	1	1	1	1	-1	1	1	-1	-1	-1	-1	-1	-1	1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²
χ₂₂	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	0	0	0
χ₂₃	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸−ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	0	0	0
χ₂₄	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	0	0
χ₂₅	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²−ζ²⁸	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	0	0	0
χ₂₆	2	2	-2	2	2	2	2	0	-2	-2	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	0	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	0	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	0	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	0	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0
χ₂₇	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	ζ⁴−ζ¹²	−ζ⁴+ζ¹²	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	0	0	0
χ₂₈	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	−ζ⁴+ζ¹²	ζ⁴−ζ¹²	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸+ζ³⁶	ζ²⁸−ζ³⁶	0	0	0
χ₂₉	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴−ζ¹²	−ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	0	0	0
χ₃₀	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴+ζ¹²	ζ⁴−ζ¹²	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	−ζ¹²+ζ³⁶	ζ¹²−ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	0	0	0
χ₃₁	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	−2ζ²⁸	2ζ²⁸	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	−2ζ³⁶	2ζ³⁶	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	−2ζ⁴	2ζ⁴	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	−2ζ¹²	2ζ¹²	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0
χ₃₂	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	−2ζ²⁸	2ζ²⁸	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	−2ζ³⁶	2ζ³⁶	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	−2ζ⁴	2ζ⁴	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	−2ζ¹²	2ζ¹²	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0
χ₃₃	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	2ζ⁴+2ζ¹²+2ζ²⁸	−2ζ⁴−2ζ¹²	−2ζ⁴−2ζ¹²−2ζ²⁸	2ζ⁴+2ζ¹²	0	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	−2ζ⁴−2ζ²⁸	2ζ⁴+2ζ²⁸+2ζ³⁶	2ζ⁴+2ζ²⁸	−2ζ⁴−2ζ²⁸−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	−2ζ¹²−2ζ³⁶	2ζ⁴+2ζ¹²+2ζ³⁶	2ζ¹²+2ζ³⁶	−2ζ⁴−2ζ¹²−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	2ζ¹²+2ζ²⁸+2ζ³⁶	−2ζ²⁸−2ζ³⁶	−2ζ¹²−2ζ²⁸−2ζ³⁶	2ζ²⁸+2ζ³⁶	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	−2ζ⁴−2ζ¹²	2ζ⁴+2ζ¹²+2ζ²⁸	2ζ⁴+2ζ¹²	−2ζ⁴−2ζ¹²−2ζ²⁸	0	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	2ζ⁴+2ζ²⁸+2ζ³⁶	−2ζ⁴−2ζ²⁸	−2ζ⁴−2ζ²⁸−2ζ³⁶	2ζ⁴+2ζ²⁸	0	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	2ζ⁴+2ζ¹²+2ζ³⁶	−2ζ¹²−2ζ³⁶	−2ζ⁴−2ζ¹²−2ζ³⁶	2ζ¹²+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	−2ζ²⁸−2ζ³⁶	2ζ¹²+2ζ²⁸+2ζ³⁶	2ζ²⁸+2ζ³⁶	−2ζ¹²−2ζ²⁸−2ζ³⁶	0	0	0	0	0	0	0	0	0	0
χ₃₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴
χ₃₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴
χ₃₇	1	1	1	1	1	1	1	-1	1	1	-1	-1	-1	-1	1	1	-1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴
χ₃₈	1	1	1	1	1	1	1	-1	1	1	-1	-1	-1	-1	-1	-1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴
χ₃₉	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	0	0
χ₄₀	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸−ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	0	0	0
χ₄₁	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	0	0	0
χ₄₂	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²−ζ²⁸	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	0	0	0
χ₄₃	2	2	-2	2	2	2	2	0	-2	-2	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	0	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	0	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	0	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	0	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0
χ₄₄	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	ζ⁴−ζ¹²	−ζ⁴+ζ¹²	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	0	0	0
χ₄₅	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸+ζ³⁶	ζ²⁸−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	−ζ⁴+ζ¹²	ζ⁴−ζ¹²	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	0	0	0
χ₄₆	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴−ζ¹²	−ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	0	0	0
χ₄₇	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴+ζ¹²	ζ⁴−ζ¹²	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	−ζ¹²+ζ³⁶	ζ¹²−ζ³⁶	0	0	0
χ₄₈	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	−2ζ³⁶	2ζ³⁶	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	−2ζ¹²	2ζ¹²	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	−2ζ²⁸	2ζ²⁸	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	−2ζ⁴	2ζ⁴	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0
χ₄₉	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	−2ζ³⁶	2ζ³⁶	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	−2ζ¹²	2ζ¹²	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	−2ζ²⁸	2ζ²⁸	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	−2ζ⁴	2ζ⁴	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0
χ₅₀	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	−2ζ⁴−2ζ²⁸	2ζ⁴+2ζ²⁸+2ζ³⁶	2ζ⁴+2ζ²⁸	−2ζ⁴−2ζ²⁸−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	2ζ¹²+2ζ²⁸+2ζ³⁶	−2ζ²⁸−2ζ³⁶	−2ζ¹²−2ζ²⁸−2ζ³⁶	2ζ²⁸+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	2ζ⁴+2ζ¹²+2ζ²⁸	−2ζ⁴−2ζ¹²	−2ζ⁴−2ζ¹²−2ζ²⁸	2ζ⁴+2ζ¹²	0	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	−2ζ¹²−2ζ³⁶	2ζ⁴+2ζ¹²+2ζ³⁶	2ζ¹²+2ζ³⁶	−2ζ⁴−2ζ¹²−2ζ³⁶	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	2ζ⁴+2ζ²⁸+2ζ³⁶	−2ζ⁴−2ζ²⁸	−2ζ⁴−2ζ²⁸−2ζ³⁶	2ζ⁴+2ζ²⁸	0	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	−2ζ²⁸−2ζ³⁶	2ζ¹²+2ζ²⁸+2ζ³⁶	2ζ²⁸+2ζ³⁶	−2ζ¹²−2ζ²⁸−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	−2ζ⁴−2ζ¹²	2ζ⁴+2ζ¹²+2ζ²⁸	2ζ⁴+2ζ¹²	−2ζ⁴−2ζ¹²−2ζ²⁸	0	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	2ζ⁴+2ζ¹²+2ζ³⁶	−2ζ¹²−2ζ³⁶	−2ζ⁴−2ζ¹²−2ζ³⁶	2ζ¹²+2ζ³⁶	0	0	0	0	0	0	0	0	0	0
χ₅₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶
χ₅₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶
χ₅₄	1	1	1	1	1	1	1	-1	1	1	-1	-1	-1	-1	1	1	-1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶
χ₅₅	1	1	1	1	1	1	1	-1	1	1	-1	-1	-1	-1	-1	-1	1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶
χ₅₆	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	0	0	0
χ₅₇	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸−ζ³⁶	0	0	0
χ₅₈	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸	0	0	0
χ₅₉	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²−ζ²⁸	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸	0	0	0
χ₆₀	2	2	-2	2	2	2	2	0	-2	-2	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	0	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	0	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	0	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	0	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0
χ₆₁	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	ζ⁴−ζ¹²	−ζ⁴+ζ¹²	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	0	0	0
χ₆₂	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	−ζ⁴+ζ¹²	ζ⁴−ζ¹²	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸+ζ³⁶	ζ²⁸−ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	0	0	0
χ₆₃	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴−ζ¹²	−ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	0	0	0
χ₆₄	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	−ζ¹²+ζ³⁶	ζ¹²−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴+ζ¹²	ζ⁴−ζ¹²	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	0	0	0
χ₆₅	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	−2ζ⁴	2ζ⁴	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	−2ζ²⁸	2ζ²⁸	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	−2ζ¹²	2ζ¹²	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	−2ζ³⁶	2ζ³⁶	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0
χ₆₆	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	−2ζ⁴	2ζ⁴	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	−2ζ²⁸	2ζ²⁸	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	−2ζ¹²	2ζ¹²	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	−2ζ³⁶	2ζ³⁶	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0
χ₆₇	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	−2ζ¹²−2ζ³⁶	2ζ⁴+2ζ¹²+2ζ³⁶	2ζ¹²+2ζ³⁶	−2ζ⁴−2ζ¹²−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	2ζ⁴+2ζ¹²+2ζ²⁸	−2ζ⁴−2ζ¹²	−2ζ⁴−2ζ¹²−2ζ²⁸	2ζ⁴+2ζ¹²	0	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	2ζ¹²+2ζ²⁸+2ζ³⁶	−2ζ²⁸−2ζ³⁶	−2ζ¹²−2ζ²⁸−2ζ³⁶	2ζ²⁸+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	−2ζ⁴−2ζ²⁸	2ζ⁴+2ζ²⁸+2ζ³⁶	2ζ⁴+2ζ²⁸	−2ζ⁴−2ζ²⁸−2ζ³⁶	0	0	0	0	0	0	0	0	0	0
χ₆₈	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	2ζ⁴+2ζ¹²+2ζ³⁶	−2ζ¹²−2ζ³⁶	−2ζ⁴−2ζ¹²−2ζ³⁶	2ζ¹²+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	−2ζ⁴−2ζ¹²	2ζ⁴+2ζ¹²+2ζ²⁸	2ζ⁴+2ζ¹²	−2ζ⁴−2ζ¹²−2ζ²⁸	0	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	−2ζ²⁸−2ζ³⁶	2ζ¹²+2ζ²⁸+2ζ³⁶	2ζ²⁸+2ζ³⁶	−2ζ¹²−2ζ²⁸−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	2ζ⁴+2ζ²⁸+2ζ³⁶	−2ζ⁴−2ζ²⁸	−2ζ⁴−2ζ²⁸−2ζ³⁶	2ζ⁴+2ζ²⁸	0	0	0	0	0	0	0	0	0	0
χ₆₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸
χ₇₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸
χ₇₁	1	1	1	1	1	1	1	-1	1	1	-1	-1	-1	-1	1	1	-1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸
χ₇₂	1	1	1	1	1	1	1	-1	1	1	-1	-1	-1	-1	-1	-1	1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸
χ₇₃	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²	0	0	0
χ₇₄	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²	0	0	0
χ₇₅	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ¹²−ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	0	0	0
χ₇₆	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ¹²+ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+ζ²⁸	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴−ζ¹²−ζ²⁸	0	0	0
χ₇₇	2	2	-2	2	2	2	2	0	-2	-2	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	0	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	0	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	0	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	0	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0
χ₇₈	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	ζ¹²−ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	ζ⁴−ζ¹²	−ζ⁴+ζ¹²	0	0	0
χ₇₉	2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	0	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸+ζ³⁶	ζ²⁸−ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	0	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	0	ζ⁴+ζ²⁸	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	0	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	−ζ⁴+ζ¹²	ζ⁴−ζ¹²	0	0	0
χ₈₀	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴+ζ³⁶	ζ⁴−ζ³⁶	−ζ¹²+ζ²⁸	ζ¹²−ζ²⁸	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	ζ¹²−ζ³⁶	−ζ¹²+ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴−ζ²⁸	−ζ⁴+ζ²⁸	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	ζ⁴−ζ¹²	−ζ⁴+ζ¹²	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	0	0	0
χ₈₁	2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴−ζ³⁶	−ζ⁴+ζ³⁶	ζ¹²−ζ²⁸	−ζ¹²+ζ²⁸	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	−ζ²⁸−ζ³⁶	ζ¹²+ζ²⁸+ζ³⁶	0	ζ²⁸+ζ³⁶	−ζ¹²−ζ²⁸−ζ³⁶	−ζ²⁸+ζ³⁶	ζ²⁸−ζ³⁶	2ζ⁴+ζ¹²+ζ²⁸+ζ³⁶	−2ζ⁴−ζ¹²−ζ²⁸−ζ³⁶	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	ζ⁴+ζ¹²+ζ³⁶	−ζ¹²−ζ³⁶	0	−ζ⁴−ζ¹²−ζ³⁶	ζ¹²+ζ³⁶	ζ⁴+ζ¹²+2ζ²⁸+ζ³⁶	−ζ⁴−ζ¹²−2ζ²⁸−ζ³⁶	−ζ¹²+ζ³⁶	ζ¹²−ζ³⁶	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	ζ⁴+ζ²⁸+ζ³⁶	−ζ⁴−ζ²⁸	0	−ζ⁴−ζ²⁸−ζ³⁶	ζ⁴+ζ²⁸	−ζ⁴−2ζ¹²−ζ²⁸−ζ³⁶	ζ⁴+2ζ¹²+ζ²⁸+ζ³⁶	−ζ⁴+ζ²⁸	ζ⁴−ζ²⁸	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	−ζ⁴−ζ¹²	ζ⁴+ζ¹²+ζ²⁸	0	ζ⁴+ζ¹²	−ζ⁴−ζ¹²−ζ²⁸	−ζ⁴+ζ¹²	ζ⁴−ζ¹²	−ζ⁴−ζ¹²−ζ²⁸−2ζ³⁶	ζ⁴+ζ¹²+ζ²⁸+2ζ³⁶	0	0	0
χ₈₂	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	−2ζ¹²	2ζ¹²	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	−2ζ⁴	2ζ⁴	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	−2ζ³⁶	2ζ³⁶	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	−2ζ²⁸	2ζ²⁸	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0
χ₈₃	2	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	−2ζ¹²	2ζ¹²	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	−2ζ⁴	2ζ⁴	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	−2ζ³⁶	2ζ³⁶	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	−2ζ²⁸	2ζ²⁸	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0
χ₈₄	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	2ζ¹²+2ζ²⁸+2ζ³⁶	−2ζ²⁸−2ζ³⁶	−2ζ¹²−2ζ²⁸−2ζ³⁶	2ζ²⁸+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	−2ζ¹²−2ζ³⁶	2ζ⁴+2ζ¹²+2ζ³⁶	2ζ¹²+2ζ³⁶	−2ζ⁴−2ζ¹²−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	−2ζ⁴−2ζ²⁸	2ζ⁴+2ζ²⁸+2ζ³⁶	2ζ⁴+2ζ²⁸	−2ζ⁴−2ζ²⁸−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	2ζ⁴+2ζ¹²+2ζ²⁸	−2ζ⁴−2ζ¹²	−2ζ⁴−2ζ¹²−2ζ²⁸	2ζ⁴+2ζ¹²	0	0	0	0	0	0	0	0	0	0
χ₈₅	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	−2ζ²⁸−2ζ³⁶	2ζ¹²+2ζ²⁸+2ζ³⁶	2ζ²⁸+2ζ³⁶	−2ζ¹²−2ζ²⁸−2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	2ζ⁴+2ζ¹²+2ζ³⁶	−2ζ¹²−2ζ³⁶	−2ζ⁴−2ζ¹²−2ζ³⁶	2ζ¹²+2ζ³⁶	0	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	2ζ⁴+2ζ²⁸+2ζ³⁶	−2ζ⁴−2ζ²⁸	−2ζ⁴−2ζ²⁸−2ζ³⁶	2ζ⁴+2ζ²⁸	0	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	−2ζ⁴−2ζ¹²	2ζ⁴+2ζ¹²+2ζ²⁸	2ζ⁴+2ζ¹²	−2ζ⁴−2ζ¹²−2ζ²⁸	0	0	0	0	0	0	0	0	0	0

Character table — Group #87795